Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), degree \(4\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 11 x^{10} - 11 x^{9} + 39 x^{8} - 43 x^{7} + 99 x^{6} + 36 x^{5} + 431 x^{4} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.2 | ||
Root | \(0.289142 - 0.889888i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.141 |
Dual form | 770.2.n.j.71.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | 0.756984 | − | 0.549981i | 0.437045 | − | 0.317532i | −0.347415 | − | 0.937712i | \(-0.612940\pi\) |
0.784460 | + | 0.620180i | \(0.212940\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.309017 | + | 0.951057i | 0.138197 | + | 0.425325i | ||||
\(6\) | 0.289142 | + | 0.889888i | 0.118042 | + | 0.363295i | ||||
\(7\) | −0.809017 | − | 0.587785i | −0.305780 | − | 0.222162i | ||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −0.656505 | + | 2.02052i | −0.218835 | + | 0.673505i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −3.09234 | − | 1.19893i | −0.932375 | − | 0.361492i | ||||
\(12\) | −0.935683 | −0.270109 | ||||||||
\(13\) | −0.776859 | + | 2.39093i | −0.215462 | + | 0.663123i | 0.783659 | + | 0.621192i | \(0.213351\pi\) |
−0.999120 | + | 0.0419317i | \(0.986649\pi\) | |||||||
\(14\) | 0.809017 | − | 0.587785i | 0.216219 | − | 0.157092i | ||||
\(15\) | 0.756984 | + | 0.549981i | 0.195452 | + | 0.142004i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 1.44806 | + | 4.45667i | 0.351206 | + | 1.08090i | 0.958177 | + | 0.286177i | \(0.0923844\pi\) |
−0.606971 | + | 0.794724i | \(0.707616\pi\) | |||||||
\(18\) | −1.71875 | − | 1.24875i | −0.405114 | − | 0.294333i | ||||
\(19\) | −3.28100 | + | 2.38379i | −0.752713 | + | 0.546878i | −0.896667 | − | 0.442706i | \(-0.854018\pi\) |
0.143953 | + | 0.989584i | \(0.454018\pi\) | |||||||
\(20\) | 0.309017 | − | 0.951057i | 0.0690983 | − | 0.212663i | ||||
\(21\) | −0.935683 | −0.204183 | ||||||||
\(22\) | 2.09584 | − | 2.57050i | 0.446835 | − | 0.548032i | ||||
\(23\) | −3.46945 | −0.723431 | −0.361716 | − | 0.932289i | \(-0.617809\pi\) | ||||
−0.361716 | + | 0.932289i | \(0.617809\pi\) | |||||||
\(24\) | 0.289142 | − | 0.889888i | 0.0590209 | − | 0.181648i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −2.03384 | − | 1.47767i | −0.398869 | − | 0.289796i | ||||
\(27\) | 1.48171 | + | 4.56023i | 0.285155 | + | 0.877616i | ||||
\(28\) | 0.309017 | + | 0.951057i | 0.0583987 | + | 0.179733i | ||||
\(29\) | 6.03901 | + | 4.38760i | 1.12142 | + | 0.814757i | 0.984423 | − | 0.175815i | \(-0.0562561\pi\) |
0.136993 | + | 0.990572i | \(0.456256\pi\) | |||||||
\(30\) | −0.756984 | + | 0.549981i | −0.138206 | + | 0.100412i | ||||
\(31\) | 0.477714 | − | 1.47025i | 0.0857999 | − | 0.264065i | −0.898947 | − | 0.438057i | \(-0.855667\pi\) |
0.984747 | + | 0.173992i | \(0.0556668\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −3.00024 | + | 0.793153i | −0.522275 | + | 0.138070i | ||||
\(34\) | −4.68602 | −0.803645 | ||||||||
\(35\) | 0.309017 | − | 0.951057i | 0.0522334 | − | 0.160758i | ||||
\(36\) | 1.71875 | − | 1.24875i | 0.286459 | − | 0.208125i | ||||
\(37\) | 3.98540 | + | 2.89556i | 0.655195 | + | 0.476027i | 0.865037 | − | 0.501708i | \(-0.167295\pi\) |
−0.209842 | + | 0.977735i | \(0.567295\pi\) | |||||||
\(38\) | −1.25323 | − | 3.85705i | −0.203301 | − | 0.625696i | ||||
\(39\) | 0.726894 | + | 2.23715i | 0.116396 | + | 0.358231i | ||||
\(40\) | 0.809017 | + | 0.587785i | 0.127917 | + | 0.0929370i | ||||
\(41\) | −1.33552 | + | 0.970311i | −0.208573 | + | 0.151537i | −0.687168 | − | 0.726499i | \(-0.741146\pi\) |
0.478595 | + | 0.878036i | \(0.341146\pi\) | |||||||
\(42\) | 0.289142 | − | 0.889888i | 0.0446156 | − | 0.137313i | ||||
\(43\) | −7.97092 | −1.21555 | −0.607777 | − | 0.794108i | \(-0.707939\pi\) | ||||
−0.607777 | + | 0.794108i | \(0.707939\pi\) | |||||||
\(44\) | 1.79704 | + | 2.78759i | 0.270914 | + | 0.420245i | ||||
\(45\) | −2.12450 | −0.316701 | ||||||||
\(46\) | 1.07212 | − | 3.29965i | 0.158075 | − | 0.486506i | ||||
\(47\) | −1.43558 | + | 1.04301i | −0.209401 | + | 0.152139i | −0.687543 | − | 0.726144i | \(-0.741311\pi\) |
0.478142 | + | 0.878283i | \(0.341311\pi\) | |||||||
\(48\) | 0.756984 | + | 0.549981i | 0.109261 | + | 0.0793829i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | −0.309017 | − | 0.951057i | −0.0437016 | − | 0.134500i | ||||
\(51\) | 3.54724 | + | 2.57722i | 0.496713 | + | 0.360883i | ||||
\(52\) | 2.03384 | − | 1.47767i | 0.282043 | − | 0.204916i | ||||
\(53\) | 2.20730 | − | 6.79337i | 0.303196 | − | 0.933141i | −0.677148 | − | 0.735846i | \(-0.736784\pi\) |
0.980344 | − | 0.197294i | \(-0.0632155\pi\) | |||||||
\(54\) | −4.79491 | −0.652504 | ||||||||
\(55\) | 0.184670 | − | 3.31148i | 0.0249009 | − | 0.446520i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | −1.17263 | + | 3.60898i | −0.155318 | + | 0.478021i | ||||
\(58\) | −6.03901 | + | 4.38760i | −0.792961 | + | 0.576120i | ||||
\(59\) | 0.345318 | + | 0.250889i | 0.0449566 | + | 0.0326629i | 0.610037 | − | 0.792373i | \(-0.291155\pi\) |
−0.565080 | + | 0.825036i | \(0.691155\pi\) | |||||||
\(60\) | −0.289142 | − | 0.889888i | −0.0373281 | − | 0.114884i | ||||
\(61\) | 1.90107 | + | 5.85091i | 0.243408 | + | 0.749132i | 0.995894 | + | 0.0905243i | \(0.0288543\pi\) |
−0.752487 | + | 0.658608i | \(0.771146\pi\) | |||||||
\(62\) | 1.25067 | + | 0.908665i | 0.158835 | + | 0.115401i | ||||
\(63\) | 1.71875 | − | 1.24875i | 0.216543 | − | 0.157327i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −2.51397 | −0.311819 | ||||||||
\(66\) | 0.172792 | − | 3.09850i | 0.0212693 | − | 0.381399i | ||||
\(67\) | −5.99409 | −0.732295 | −0.366147 | − | 0.930557i | \(-0.619323\pi\) | ||||
−0.366147 | + | 0.930557i | \(0.619323\pi\) | |||||||
\(68\) | 1.44806 | − | 4.45667i | 0.175603 | − | 0.540450i | ||||
\(69\) | −2.62632 | + | 1.90813i | −0.316172 | + | 0.229712i | ||||
\(70\) | 0.809017 | + | 0.587785i | 0.0966960 | + | 0.0702538i | ||||
\(71\) | 2.02073 | + | 6.21917i | 0.239817 | + | 0.738080i | 0.996446 | + | 0.0842354i | \(0.0268448\pi\) |
−0.756629 | + | 0.653844i | \(0.773155\pi\) | |||||||
\(72\) | 0.656505 | + | 2.02052i | 0.0773699 | + | 0.238120i | ||||
\(73\) | 0.692010 | + | 0.502775i | 0.0809937 | + | 0.0588454i | 0.627545 | − | 0.778580i | \(-0.284060\pi\) |
−0.546552 | + | 0.837425i | \(0.684060\pi\) | |||||||
\(74\) | −3.98540 | + | 2.89556i | −0.463293 | + | 0.336602i | ||||
\(75\) | −0.289142 | + | 0.889888i | −0.0333873 | + | 0.102755i | ||||
\(76\) | 4.05554 | 0.465203 | ||||||||
\(77\) | 1.79704 | + | 2.78759i | 0.204791 | + | 0.317675i | ||||
\(78\) | −2.35228 | −0.266343 | ||||||||
\(79\) | −3.04746 | + | 9.37911i | −0.342866 | + | 1.05523i | 0.619851 | + | 0.784720i | \(0.287193\pi\) |
−0.962716 | + | 0.270513i | \(0.912807\pi\) | |||||||
\(80\) | −0.809017 | + | 0.587785i | −0.0904508 | + | 0.0657164i | ||||
\(81\) | −1.52659 | − | 1.10914i | −0.169622 | − | 0.123237i | ||||
\(82\) | −0.510123 | − | 1.57000i | −0.0563336 | − | 0.173377i | ||||
\(83\) | −2.52057 | − | 7.75752i | −0.276669 | − | 0.851499i | −0.988773 | − | 0.149425i | \(-0.952258\pi\) |
0.712104 | − | 0.702074i | \(-0.247742\pi\) | |||||||
\(84\) | 0.756984 | + | 0.549981i | 0.0825937 | + | 0.0600078i | ||||
\(85\) | −3.79107 | + | 2.75437i | −0.411199 | + | 0.298754i | ||||
\(86\) | 2.46315 | − | 7.58080i | 0.265608 | − | 0.817458i | ||||
\(87\) | 6.98453 | 0.748820 | ||||||||
\(88\) | −3.20647 | + | 0.847672i | −0.341811 | + | 0.0903621i | ||||
\(89\) | 1.00048 | 0.106051 | 0.0530255 | − | 0.998593i | \(-0.483114\pi\) | ||||
0.0530255 | + | 0.998593i | \(0.483114\pi\) | |||||||
\(90\) | 0.656505 | − | 2.02052i | 0.0692018 | − | 0.212981i | ||||
\(91\) | 2.03384 | − | 1.47767i | 0.213205 | − | 0.154902i | ||||
\(92\) | 2.80685 | + | 2.03929i | 0.292634 | + | 0.212611i | ||||
\(93\) | −0.446989 | − | 1.37569i | −0.0463506 | − | 0.142652i | ||||
\(94\) | −0.548343 | − | 1.68763i | −0.0565573 | − | 0.174065i | ||||
\(95\) | −3.28100 | − | 2.38379i | −0.336624 | − | 0.244571i | ||||
\(96\) | −0.756984 | + | 0.549981i | −0.0772593 | + | 0.0561322i | ||||
\(97\) | 3.50235 | − | 10.7791i | 0.355610 | − | 1.09445i | −0.600046 | − | 0.799966i | \(-0.704851\pi\) |
0.955655 | − | 0.294488i | \(-0.0951491\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 4.45260 | − | 5.46101i | 0.447504 | − | 0.548852i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 0.978533 | − | 3.01161i | 0.0973677 | − | 0.299667i | −0.890496 | − | 0.454991i | \(-0.849642\pi\) |
0.987863 | + | 0.155325i | \(0.0496423\pi\) | |||||||
\(102\) | −3.54724 | + | 2.57722i | −0.351229 | + | 0.255183i | ||||
\(103\) | −12.1736 | − | 8.84467i | −1.19950 | − | 0.871491i | −0.205269 | − | 0.978706i | \(-0.565807\pi\) |
−0.994236 | + | 0.107214i | \(0.965807\pi\) | |||||||
\(104\) | 0.776859 | + | 2.39093i | 0.0761773 | + | 0.234450i | ||||
\(105\) | −0.289142 | − | 0.889888i | −0.0282174 | − | 0.0868442i | ||||
\(106\) | 5.77878 | + | 4.19853i | 0.561285 | + | 0.407798i | ||||
\(107\) | 11.6803 | − | 8.48626i | 1.12918 | − | 0.820398i | 0.143606 | − | 0.989635i | \(-0.454130\pi\) |
0.985575 | + | 0.169237i | \(0.0541304\pi\) | |||||||
\(108\) | 1.48171 | − | 4.56023i | 0.142577 | − | 0.438808i | ||||
\(109\) | −12.1869 | −1.16729 | −0.583646 | − | 0.812008i | \(-0.698374\pi\) | ||||
−0.583646 | + | 0.812008i | \(0.698374\pi\) | |||||||
\(110\) | 3.09234 | + | 1.19893i | 0.294843 | + | 0.114314i | ||||
\(111\) | 4.60938 | 0.437503 | ||||||||
\(112\) | 0.309017 | − | 0.951057i | 0.0291994 | − | 0.0898664i | ||||
\(113\) | 9.48931 | − | 6.89438i | 0.892679 | − | 0.648569i | −0.0438963 | − | 0.999036i | \(-0.513977\pi\) |
0.936575 | + | 0.350467i | \(0.113977\pi\) | |||||||
\(114\) | −3.06998 | − | 2.23047i | −0.287530 | − | 0.208903i | ||||
\(115\) | −1.07212 | − | 3.29965i | −0.0999757 | − | 0.307694i | ||||
\(116\) | −2.30670 | − | 7.09929i | −0.214172 | − | 0.659152i | ||||
\(117\) | −4.32089 | − | 3.13931i | −0.399467 | − | 0.290229i | ||||
\(118\) | −0.345318 | + | 0.250889i | −0.0317891 | + | 0.0230962i | ||||
\(119\) | 1.44806 | − | 4.45667i | 0.132743 | − | 0.408542i | ||||
\(120\) | 0.935683 | 0.0854158 | ||||||||
\(121\) | 8.12511 | + | 7.41502i | 0.738646 | + | 0.674093i | ||||
\(122\) | −6.15201 | −0.556977 | ||||||||
\(123\) | −0.477314 | + | 1.46902i | −0.0430379 | + | 0.132457i | ||||
\(124\) | −1.25067 | + | 0.908665i | −0.112314 | + | 0.0816006i | ||||
\(125\) | −0.809017 | − | 0.587785i | −0.0723607 | − | 0.0525731i | ||||
\(126\) | 0.656505 | + | 2.02052i | 0.0584862 | + | 0.180002i | ||||
\(127\) | 1.13816 | + | 3.50290i | 0.100995 | + | 0.310832i | 0.988770 | − | 0.149447i | \(-0.0477494\pi\) |
−0.887774 | + | 0.460279i | \(0.847749\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −6.03386 | + | 4.38385i | −0.531252 | + | 0.385977i | ||||
\(130\) | 0.776859 | − | 2.39093i | 0.0681350 | − | 0.209698i | ||||
\(131\) | 8.57781 | 0.749447 | 0.374724 | − | 0.927137i | \(-0.377738\pi\) | ||||
0.374724 | + | 0.927137i | \(0.377738\pi\) | |||||||
\(132\) | 2.89345 | + | 1.12182i | 0.251842 | + | 0.0976422i | ||||
\(133\) | 4.05554 | 0.351660 | ||||||||
\(134\) | 1.85228 | − | 5.70072i | 0.160012 | − | 0.492467i | ||||
\(135\) | −3.87916 | + | 2.81838i | −0.333865 | + | 0.242567i | ||||
\(136\) | 3.79107 | + | 2.75437i | 0.325081 | + | 0.236185i | ||||
\(137\) | 0.503965 | + | 1.55104i | 0.0430566 | + | 0.132515i | 0.970274 | − | 0.242009i | \(-0.0778063\pi\) |
−0.927217 | + | 0.374523i | \(0.877806\pi\) | |||||||
\(138\) | −1.00317 | − | 3.08742i | −0.0853951 | − | 0.262819i | ||||
\(139\) | 18.7529 | + | 13.6248i | 1.59060 | + | 1.15564i | 0.903077 | + | 0.429478i | \(0.141303\pi\) |
0.687524 | + | 0.726161i | \(0.258697\pi\) | |||||||
\(140\) | −0.809017 | + | 0.587785i | −0.0683744 | + | 0.0496769i | ||||
\(141\) | −0.513076 | + | 1.57909i | −0.0432088 | + | 0.132983i | ||||
\(142\) | −6.53922 | −0.548759 | ||||||||
\(143\) | 5.26887 | − | 6.46215i | 0.440605 | − | 0.540392i | ||||
\(144\) | −2.12450 | −0.177041 | ||||||||
\(145\) | −2.30670 | + | 7.09929i | −0.191561 | + | 0.589564i | ||||
\(146\) | −0.692010 | + | 0.502775i | −0.0572712 | + | 0.0416100i | ||||
\(147\) | 0.756984 | + | 0.549981i | 0.0624350 | + | 0.0453617i | ||||
\(148\) | −1.52229 | − | 4.68512i | −0.125131 | − | 0.385114i | ||||
\(149\) | −0.443087 | − | 1.36368i | −0.0362991 | − | 0.111717i | 0.931265 | − | 0.364342i | \(-0.118706\pi\) |
−0.967564 | + | 0.252625i | \(0.918706\pi\) | |||||||
\(150\) | −0.756984 | − | 0.549981i | −0.0618075 | − | 0.0449058i | ||||
\(151\) | −14.3966 | + | 10.4597i | −1.17158 | + | 0.851201i | −0.991197 | − | 0.132396i | \(-0.957733\pi\) |
−0.180380 | + | 0.983597i | \(0.557733\pi\) | |||||||
\(152\) | −1.25323 | + | 3.85705i | −0.101650 | + | 0.312848i | ||||
\(153\) | −9.95543 | −0.804849 | ||||||||
\(154\) | −3.20647 | + | 0.847672i | −0.258385 | + | 0.0683074i | ||||
\(155\) | 1.54591 | 0.124171 | ||||||||
\(156\) | 0.726894 | − | 2.23715i | 0.0581981 | − | 0.179115i | ||||
\(157\) | 5.89890 | − | 4.28580i | 0.470783 | − | 0.342044i | −0.326963 | − | 0.945037i | \(-0.606025\pi\) |
0.797746 | + | 0.602993i | \(0.206025\pi\) | |||||||
\(158\) | −7.97835 | − | 5.79661i | −0.634723 | − | 0.461153i | ||||
\(159\) | −2.06533 | − | 6.35644i | −0.163792 | − | 0.504099i | ||||
\(160\) | −0.309017 | − | 0.951057i | −0.0244299 | − | 0.0751876i | ||||
\(161\) | 2.80685 | + | 2.03929i | 0.221211 | + | 0.160719i | ||||
\(162\) | 1.52659 | − | 1.10914i | 0.119941 | − | 0.0871419i | ||||
\(163\) | 2.90879 | − | 8.95233i | 0.227834 | − | 0.701201i | −0.770158 | − | 0.637854i | \(-0.779822\pi\) |
0.997992 | − | 0.0633471i | \(-0.0201775\pi\) | |||||||
\(164\) | 1.65079 | 0.128905 | ||||||||
\(165\) | −1.68146 | − | 2.60830i | −0.130901 | − | 0.203056i | ||||
\(166\) | 8.15674 | 0.633086 | ||||||||
\(167\) | −0.0895895 | + | 0.275728i | −0.00693264 | + | 0.0213365i | −0.954463 | − | 0.298329i | \(-0.903571\pi\) |
0.947530 | + | 0.319666i | \(0.103571\pi\) | |||||||
\(168\) | −0.756984 | + | 0.549981i | −0.0584026 | + | 0.0424320i | ||||
\(169\) | 5.40421 | + | 3.92639i | 0.415708 | + | 0.302030i | ||||
\(170\) | −1.44806 | − | 4.45667i | −0.111061 | − | 0.341811i | ||||
\(171\) | −2.66249 | − | 8.19429i | −0.203605 | − | 0.626633i | ||||
\(172\) | 6.44861 | + | 4.68519i | 0.491702 | + | 0.357242i | ||||
\(173\) | 8.42898 | − | 6.12401i | 0.640844 | − | 0.465600i | −0.219296 | − | 0.975658i | \(-0.570376\pi\) |
0.860140 | + | 0.510058i | \(0.170376\pi\) | |||||||
\(174\) | −2.15834 | + | 6.64268i | −0.163623 | + | 0.503581i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | 0.184670 | − | 3.31148i | 0.0139200 | − | 0.249612i | ||||
\(177\) | 0.399384 | 0.0300196 | ||||||||
\(178\) | −0.309166 | + | 0.951516i | −0.0231730 | + | 0.0713191i | ||||
\(179\) | 12.0637 | − | 8.76478i | 0.901682 | − | 0.655111i | −0.0372152 | − | 0.999307i | \(-0.511849\pi\) |
0.938898 | + | 0.344197i | \(0.111849\pi\) | |||||||
\(180\) | 1.71875 | + | 1.24875i | 0.128108 | + | 0.0930762i | ||||
\(181\) | 1.35143 | + | 4.15926i | 0.100451 | + | 0.309155i | 0.988636 | − | 0.150330i | \(-0.0480337\pi\) |
−0.888185 | + | 0.459486i | \(0.848034\pi\) | |||||||
\(182\) | 0.776859 | + | 2.39093i | 0.0575846 | + | 0.177227i | ||||
\(183\) | 4.65697 | + | 3.38349i | 0.344253 | + | 0.250115i | ||||
\(184\) | −2.80685 | + | 2.03929i | −0.206923 | + | 0.150339i | ||||
\(185\) | −1.52229 | + | 4.68512i | −0.111921 | + | 0.344457i | ||||
\(186\) | 1.44649 | 0.106062 | ||||||||
\(187\) | 0.865366 | − | 15.5177i | 0.0632818 | − | 1.13476i | ||||
\(188\) | 1.77448 | 0.129417 | ||||||||
\(189\) | 1.48171 | − | 4.56023i | 0.107778 | − | 0.331708i | ||||
\(190\) | 3.28100 | − | 2.38379i | 0.238029 | − | 0.172938i | ||||
\(191\) | 8.59154 | + | 6.24212i | 0.621662 | + | 0.451664i | 0.853502 | − | 0.521090i | \(-0.174474\pi\) |
−0.231840 | + | 0.972754i | \(0.574474\pi\) | |||||||
\(192\) | −0.289142 | − | 0.889888i | −0.0208670 | − | 0.0642221i | ||||
\(193\) | 2.46640 | + | 7.59081i | 0.177536 | + | 0.546398i | 0.999740 | − | 0.0227938i | \(-0.00725612\pi\) |
−0.822205 | + | 0.569192i | \(0.807256\pi\) | |||||||
\(194\) | 9.16927 | + | 6.66186i | 0.658315 | + | 0.478294i | ||||
\(195\) | −1.90303 | + | 1.38263i | −0.136279 | + | 0.0990125i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | −7.28621 | −0.519121 | −0.259560 | − | 0.965727i | \(-0.583578\pi\) | ||||
−0.259560 | + | 0.965727i | \(0.583578\pi\) | |||||||
\(198\) | 3.81780 | + | 5.92222i | 0.271319 | + | 0.420874i | ||||
\(199\) | 14.1853 | 1.00557 | 0.502783 | − | 0.864413i | \(-0.332309\pi\) | ||||
0.502783 | + | 0.864413i | \(0.332309\pi\) | |||||||
\(200\) | −0.309017 | + | 0.951057i | −0.0218508 | + | 0.0672499i | ||||
\(201\) | −4.53743 | + | 3.29664i | −0.320046 | + | 0.232527i | ||||
\(202\) | 2.56183 | + | 1.86128i | 0.180250 | + | 0.130959i | ||||
\(203\) | −2.30670 | − | 7.09929i | −0.161898 | − | 0.498272i | ||||
\(204\) | −1.35492 | − | 4.17003i | −0.0948637 | − | 0.291961i | ||||
\(205\) | −1.33552 | − | 0.970311i | −0.0932767 | − | 0.0677695i | ||||
\(206\) | 12.1736 | − | 8.84467i | 0.848178 | − | 0.616237i | ||||
\(207\) | 2.27772 | − | 7.01009i | 0.158312 | − | 0.487235i | ||||
\(208\) | −2.51397 | −0.174312 | ||||||||
\(209\) | 13.0040 | − | 3.43777i | 0.899504 | − | 0.237795i | ||||
\(210\) | 0.935683 | 0.0645683 | ||||||||
\(211\) | −7.19300 | + | 22.1378i | −0.495187 | + | 1.52403i | 0.321479 | + | 0.946917i | \(0.395820\pi\) |
−0.816665 | + | 0.577111i | \(0.804180\pi\) | |||||||
\(212\) | −5.77878 | + | 4.19853i | −0.396889 | + | 0.288356i | ||||
\(213\) | 4.95008 | + | 3.59645i | 0.339174 | + | 0.246424i | ||||
\(214\) | 4.46149 | + | 13.7311i | 0.304981 | + | 0.938636i | ||||
\(215\) | −2.46315 | − | 7.58080i | −0.167985 | − | 0.517006i | ||||
\(216\) | 3.87916 | + | 2.81838i | 0.263943 | + | 0.191766i | ||||
\(217\) | −1.25067 | + | 0.908665i | −0.0849011 | + | 0.0616842i | ||||
\(218\) | 3.76595 | − | 11.5904i | 0.255063 | − | 0.785002i | ||||
\(219\) | 0.800357 | 0.0540831 | ||||||||
\(220\) | −2.09584 | + | 2.57050i | −0.141301 | + | 0.173303i | ||||
\(221\) | −11.7805 | −0.792442 | ||||||||
\(222\) | −1.42438 | + | 4.38379i | −0.0955980 | + | 0.294220i | ||||
\(223\) | 6.55100 | − | 4.75958i | 0.438688 | − | 0.318725i | −0.346426 | − | 0.938077i | \(-0.612605\pi\) |
0.785113 | + | 0.619352i | \(0.212605\pi\) | |||||||
\(224\) | 0.809017 | + | 0.587785i | 0.0540547 | + | 0.0392731i | ||||
\(225\) | −0.656505 | − | 2.02052i | −0.0437670 | − | 0.134701i | ||||
\(226\) | 3.62459 | + | 11.1553i | 0.241104 | + | 0.742043i | ||||
\(227\) | 15.2382 | + | 11.0712i | 1.01139 | + | 0.734819i | 0.964501 | − | 0.264081i | \(-0.0850686\pi\) |
0.0468911 | + | 0.998900i | \(0.485069\pi\) | |||||||
\(228\) | 3.06998 | − | 2.23047i | 0.203314 | − | 0.147717i | ||||
\(229\) | 3.35967 | − | 10.3400i | 0.222013 | − | 0.683287i | −0.776568 | − | 0.630034i | \(-0.783041\pi\) |
0.998581 | − | 0.0532533i | \(-0.0169591\pi\) | |||||||
\(230\) | 3.46945 | 0.228769 | ||||||||
\(231\) | 2.89345 | + | 1.12182i | 0.190375 | + | 0.0738106i | ||||
\(232\) | 7.46463 | 0.490077 | ||||||||
\(233\) | −2.77386 | + | 8.53705i | −0.181721 | + | 0.559281i | −0.999876 | − | 0.0157166i | \(-0.994997\pi\) |
0.818155 | + | 0.574998i | \(0.194997\pi\) | |||||||
\(234\) | 4.32089 | − | 3.13931i | 0.282465 | − | 0.205223i | ||||
\(235\) | −1.43558 | − | 1.04301i | −0.0936470 | − | 0.0680385i | ||||
\(236\) | −0.131900 | − | 0.405946i | −0.00858595 | − | 0.0264248i | ||||
\(237\) | 2.85146 | + | 8.77588i | 0.185222 | + | 0.570055i | ||||
\(238\) | 3.79107 | + | 2.75437i | 0.245738 | + | 0.178539i | ||||
\(239\) | 7.91320 | − | 5.74927i | 0.511862 | − | 0.371890i | −0.301667 | − | 0.953413i | \(-0.597543\pi\) |
0.813530 | + | 0.581524i | \(0.197543\pi\) | |||||||
\(240\) | −0.289142 | + | 0.889888i | −0.0186640 | + | 0.0574420i | ||||
\(241\) | 23.3855 | 1.50639 | 0.753195 | − | 0.657797i | \(-0.228512\pi\) | ||||
0.753195 | + | 0.657797i | \(0.228512\pi\) | |||||||
\(242\) | −9.56290 | + | 5.43607i | −0.614727 | + | 0.349444i | ||||
\(243\) | −16.1503 | −1.03604 | ||||||||
\(244\) | 1.90107 | − | 5.85091i | 0.121704 | − | 0.374566i | ||||
\(245\) | −0.809017 | + | 0.587785i | −0.0516862 | + | 0.0375522i | ||||
\(246\) | −1.24962 | − | 0.907904i | −0.0796731 | − | 0.0578859i | ||||
\(247\) | −3.15058 | − | 9.69650i | −0.200467 | − | 0.616973i | ||||
\(248\) | −0.477714 | − | 1.47025i | −0.0303348 | − | 0.0933611i | ||||
\(249\) | −6.17452 | − | 4.48605i | −0.391294 | − | 0.284292i | ||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | 8.06347 | − | 24.8168i | 0.508962 | − | 1.56642i | −0.285045 | − | 0.958514i | \(-0.592009\pi\) |
0.794007 | − | 0.607909i | \(-0.207991\pi\) | |||||||
\(252\) | −2.12450 | −0.133831 | ||||||||
\(253\) | 10.7287 | + | 4.15965i | 0.674509 | + | 0.261515i | ||||
\(254\) | −3.68316 | −0.231102 | ||||||||
\(255\) | −1.35492 | + | 4.17003i | −0.0848487 | + | 0.261137i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −4.46524 | − | 3.24419i | −0.278534 | − | 0.202367i | 0.439744 | − | 0.898123i | \(-0.355069\pi\) |
−0.718278 | + | 0.695756i | \(0.755069\pi\) | |||||||
\(258\) | −2.30473 | − | 7.09323i | −0.143486 | − | 0.441605i | ||||
\(259\) | −1.52229 | − | 4.68512i | −0.0945903 | − | 0.291119i | ||||
\(260\) | 2.03384 | + | 1.47767i | 0.126134 | + | 0.0916414i | ||||
\(261\) | −12.8299 | + | 9.32144i | −0.794148 | + | 0.576983i | ||||
\(262\) | −2.65069 | + | 8.15799i | −0.163760 | + | 0.504002i | ||||
\(263\) | −27.1823 | −1.67613 | −0.838067 | − | 0.545568i | \(-0.816314\pi\) | ||||
−0.838067 | + | 0.545568i | \(0.816314\pi\) | |||||||
\(264\) | −1.96104 | + | 2.40517i | −0.120694 | + | 0.148028i | ||||
\(265\) | 7.14297 | 0.438789 | ||||||||
\(266\) | −1.25323 | + | 3.85705i | −0.0768405 | + | 0.236491i | ||||
\(267\) | 0.757349 | − | 0.550246i | 0.0463490 | − | 0.0336745i | ||||
\(268\) | 4.84932 | + | 3.52324i | 0.296219 | + | 0.215216i | ||||
\(269\) | −2.51688 | − | 7.74617i | −0.153457 | − | 0.472292i | 0.844544 | − | 0.535486i | \(-0.179871\pi\) |
−0.998001 | + | 0.0631935i | \(0.979871\pi\) | |||||||
\(270\) | −1.48171 | − | 4.56023i | −0.0901739 | − | 0.277527i | ||||
\(271\) | 5.10158 | + | 3.70651i | 0.309899 | + | 0.225155i | 0.731853 | − | 0.681463i | \(-0.238656\pi\) |
−0.421954 | + | 0.906617i | \(0.638656\pi\) | |||||||
\(272\) | −3.79107 | + | 2.75437i | −0.229867 | + | 0.167008i | ||||
\(273\) | 0.726894 | − | 2.23715i | 0.0439936 | − | 0.135398i | ||||
\(274\) | −1.63086 | −0.0985241 | ||||||||
\(275\) | 3.20647 | − | 0.847672i | 0.193357 | − | 0.0511166i | ||||
\(276\) | 3.24631 | 0.195405 | ||||||||
\(277\) | −8.07757 | + | 24.8602i | −0.485334 | + | 1.49371i | 0.346162 | + | 0.938175i | \(0.387485\pi\) |
−0.831496 | + | 0.555530i | \(0.812515\pi\) | |||||||
\(278\) | −18.7529 | + | 13.6248i | −1.12473 | + | 0.817161i | ||||
\(279\) | 2.65705 | + | 1.93046i | 0.159073 | + | 0.115573i | ||||
\(280\) | −0.309017 | − | 0.951057i | −0.0184673 | − | 0.0568365i | ||||
\(281\) | 4.55356 | + | 14.0144i | 0.271643 | + | 0.836031i | 0.990088 | + | 0.140447i | \(0.0448541\pi\) |
−0.718445 | + | 0.695584i | \(0.755146\pi\) | |||||||
\(282\) | −1.34325 | − | 0.975928i | −0.0799894 | − | 0.0581157i | ||||
\(283\) | −17.3987 | + | 12.6409i | −1.03425 | + | 0.751424i | −0.969154 | − | 0.246456i | \(-0.920734\pi\) |
−0.0650920 | + | 0.997879i | \(0.520734\pi\) | |||||||
\(284\) | 2.02073 | − | 6.21917i | 0.119908 | − | 0.369040i | ||||
\(285\) | −3.79470 | −0.224779 | ||||||||
\(286\) | 4.51770 | + | 7.00791i | 0.267137 | + | 0.414386i | ||||
\(287\) | 1.65079 | 0.0974432 | ||||||||
\(288\) | 0.656505 | − | 2.02052i | 0.0386850 | − | 0.119060i | ||||
\(289\) | −4.01172 | + | 2.91469i | −0.235984 | + | 0.171452i | ||||
\(290\) | −6.03901 | − | 4.38760i | −0.354623 | − | 0.257649i | ||||
\(291\) | −3.27709 | − | 10.0858i | −0.192106 | − | 0.591243i | ||||
\(292\) | −0.264324 | − | 0.813507i | −0.0154684 | − | 0.0476069i | ||||
\(293\) | 4.94798 | + | 3.59492i | 0.289064 | + | 0.210017i | 0.722861 | − | 0.690993i | \(-0.242827\pi\) |
−0.433797 | + | 0.901011i | \(0.642827\pi\) | |||||||
\(294\) | −0.756984 | + | 0.549981i | −0.0441482 | + | 0.0320755i | ||||
\(295\) | −0.131900 | + | 0.405946i | −0.00767951 | + | 0.0236351i | ||||
\(296\) | 4.92622 | 0.286331 | ||||||||
\(297\) | 0.885474 | − | 15.8782i | 0.0513804 | − | 0.921349i | ||||
\(298\) | 1.43386 | 0.0830613 | ||||||||
\(299\) | 2.69528 | − | 8.29520i | 0.155872 | − | 0.479724i | ||||
\(300\) | 0.756984 | − | 0.549981i | 0.0437045 | − | 0.0317532i | ||||
\(301\) | 6.44861 | + | 4.68519i | 0.371692 | + | 0.270050i | ||||
\(302\) | −5.49901 | − | 16.9242i | −0.316432 | − | 0.973878i | ||||
\(303\) | −0.915597 | − | 2.81792i | −0.0525997 | − | 0.161885i | ||||
\(304\) | −3.28100 | − | 2.38379i | −0.188178 | − | 0.136720i | ||||
\(305\) | −4.97708 | + | 3.61606i | −0.284987 | + | 0.207055i | ||||
\(306\) | 3.07640 | − | 9.46817i | 0.175866 | − | 0.541259i | ||||
\(307\) | 24.8721 | 1.41952 | 0.709762 | − | 0.704441i | \(-0.248802\pi\) | ||||
0.709762 | + | 0.704441i | \(0.248802\pi\) | |||||||
\(308\) | 0.184670 | − | 3.31148i | 0.0105225 | − | 0.188689i | ||||
\(309\) | −14.0797 | −0.800963 | ||||||||
\(310\) | −0.477714 | + | 1.47025i | −0.0271323 | + | 0.0835047i | ||||
\(311\) | −2.73404 | + | 1.98640i | −0.155033 | + | 0.112638i | −0.662598 | − | 0.748976i | \(-0.730546\pi\) |
0.507564 | + | 0.861614i | \(0.330546\pi\) | |||||||
\(312\) | 1.90303 | + | 1.38263i | 0.107738 | + | 0.0782763i | ||||
\(313\) | −6.40904 | − | 19.7250i | −0.362261 | − | 1.11492i | −0.951679 | − | 0.307095i | \(-0.900643\pi\) |
0.589418 | − | 0.807828i | \(-0.299357\pi\) | |||||||
\(314\) | 2.25318 | + | 6.93457i | 0.127154 | + | 0.391340i | ||||
\(315\) | 1.71875 | + | 1.24875i | 0.0968408 | + | 0.0703590i | ||||
\(316\) | 7.97835 | − | 5.79661i | 0.448817 | − | 0.326085i | ||||
\(317\) | 2.30588 | − | 7.09678i | 0.129511 | − | 0.398595i | −0.865185 | − | 0.501453i | \(-0.832799\pi\) |
0.994696 | + | 0.102858i | \(0.0327989\pi\) | |||||||
\(318\) | 6.68356 | 0.374795 | ||||||||
\(319\) | −13.4142 | − | 20.8083i | −0.751052 | − | 1.16504i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | 4.17454 | − | 12.8479i | 0.233000 | − | 0.717101i | ||||
\(322\) | −2.80685 | + | 2.03929i | −0.156419 | + | 0.113645i | ||||
\(323\) | −15.3748 | − | 11.1705i | −0.855479 | − | 0.621542i | ||||
\(324\) | 0.583107 | + | 1.79462i | 0.0323948 | + | 0.0997011i | ||||
\(325\) | −0.776859 | − | 2.39093i | −0.0430924 | − | 0.132625i | ||||
\(326\) | 7.61531 | + | 5.53285i | 0.421773 | + | 0.306436i | ||||
\(327\) | −9.22527 | + | 6.70255i | −0.510159 | + | 0.370652i | ||||
\(328\) | −0.510123 | + | 1.57000i | −0.0281668 | + | 0.0866886i | ||||
\(329\) | 1.77448 | 0.0978301 | ||||||||
\(330\) | 3.00024 | − | 0.793153i | 0.165158 | − | 0.0436616i | ||||
\(331\) | −8.26702 | −0.454396 | −0.227198 | − | 0.973849i | \(-0.572956\pi\) | ||||
−0.227198 | + | 0.973849i | \(0.572956\pi\) | |||||||
\(332\) | −2.52057 | + | 7.75752i | −0.138334 | + | 0.425749i | ||||
\(333\) | −8.46696 | + | 6.15161i | −0.463987 | + | 0.337106i | ||||
\(334\) | −0.234548 | − | 0.170409i | −0.0128339 | − | 0.00932438i | ||||
\(335\) | −1.85228 | − | 5.70072i | −0.101201 | − | 0.311464i | ||||
\(336\) | −0.289142 | − | 0.889888i | −0.0157740 | − | 0.0485474i | ||||
\(337\) | −0.250073 | − | 0.181688i | −0.0136223 | − | 0.00989720i | 0.580953 | − | 0.813937i | \(-0.302680\pi\) |
−0.594576 | + | 0.804040i | \(0.702680\pi\) | |||||||
\(338\) | −5.40421 | + | 3.92639i | −0.293950 | + | 0.213567i | ||||
\(339\) | 3.39147 | − | 10.4379i | 0.184199 | − | 0.566908i | ||||
\(340\) | 4.68602 | 0.254135 | ||||||||
\(341\) | −3.23999 | + | 3.97377i | −0.175455 | + | 0.215192i | ||||
\(342\) | 8.61598 | 0.465899 | ||||||||
\(343\) | 0.309017 | − | 0.951057i | 0.0166853 | − | 0.0513522i | ||||
\(344\) | −6.44861 | + | 4.68519i | −0.347686 | + | 0.252608i | ||||
\(345\) | −2.62632 | − | 1.90813i | −0.141396 | − | 0.102730i | ||||
\(346\) | 3.21959 | + | 9.90886i | 0.173086 | + | 0.532704i | ||||
\(347\) | −1.89215 | − | 5.82344i | −0.101576 | − | 0.312619i | 0.887336 | − | 0.461124i | \(-0.152554\pi\) |
−0.988912 | + | 0.148505i | \(0.952554\pi\) | |||||||
\(348\) | −5.65060 | − | 4.10540i | −0.302904 | − | 0.220073i | ||||
\(349\) | −16.0054 | + | 11.6286i | −0.856751 | + | 0.622466i | −0.926999 | − | 0.375064i | \(-0.877621\pi\) |
0.0702484 | + | 0.997530i | \(0.477621\pi\) | |||||||
\(350\) | −0.309017 | + | 0.951057i | −0.0165177 | + | 0.0508361i | ||||
\(351\) | −12.0542 | −0.643408 | ||||||||
\(352\) | 3.09234 | + | 1.19893i | 0.164822 | + | 0.0639034i | ||||
\(353\) | −30.8256 | −1.64068 | −0.820340 | − | 0.571876i | \(-0.806216\pi\) | ||||
−0.820340 | + | 0.571876i | \(0.806216\pi\) | |||||||
\(354\) | −0.123417 | + | 0.379837i | −0.00655952 | + | 0.0201881i | ||||
\(355\) | −5.29034 | + | 3.84366i | −0.280782 | + | 0.204000i | ||||
\(356\) | −0.809408 | − | 0.588069i | −0.0428985 | − | 0.0311676i | ||||
\(357\) | −1.35492 | − | 4.17003i | −0.0717102 | − | 0.220701i | ||||
\(358\) | 4.60792 | + | 14.1817i | 0.243536 | + | 0.749527i | ||||
\(359\) | −20.4221 | − | 14.8375i | −1.07784 | − | 0.783094i | −0.100532 | − | 0.994934i | \(-0.532055\pi\) |
−0.977304 | + | 0.211840i | \(0.932055\pi\) | |||||||
\(360\) | −1.71875 | + | 1.24875i | −0.0905863 | + | 0.0658148i | ||||
\(361\) | −0.788792 | + | 2.42765i | −0.0415154 | + | 0.127771i | ||||
\(362\) | −4.37330 | −0.229856 | ||||||||
\(363\) | 10.2287 | + | 1.14440i | 0.536867 | + | 0.0600653i | ||||
\(364\) | −2.51397 | −0.131768 | ||||||||
\(365\) | −0.264324 | + | 0.813507i | −0.0138354 | + | 0.0425809i | ||||
\(366\) | −4.65697 | + | 3.38349i | −0.243424 | + | 0.176858i | ||||
\(367\) | 7.17619 | + | 5.21380i | 0.374594 | + | 0.272158i | 0.759113 | − | 0.650959i | \(-0.225633\pi\) |
−0.384519 | + | 0.923117i | \(0.625633\pi\) | |||||||
\(368\) | −1.07212 | − | 3.29965i | −0.0558881 | − | 0.172006i | ||||
\(369\) | −1.08375 | − | 3.33545i | −0.0564180 | − | 0.173637i | ||||
\(370\) | −3.98540 | − | 2.89556i | −0.207191 | − | 0.150533i | ||||
\(371\) | −5.77878 | + | 4.19853i | −0.300020 | + | 0.217977i | ||||
\(372\) | −0.446989 | + | 1.37569i | −0.0231753 | + | 0.0713262i | ||||
\(373\) | −23.0860 | −1.19535 | −0.597675 | − | 0.801739i | \(-0.703909\pi\) | ||||
−0.597675 | + | 0.801739i | \(0.703909\pi\) | |||||||
\(374\) | 14.4908 | + | 5.61823i | 0.749299 | + | 0.290512i | ||||
\(375\) | −0.935683 | −0.0483185 | ||||||||
\(376\) | −0.548343 | + | 1.68763i | −0.0282787 | + | 0.0870327i | ||||
\(377\) | −15.1819 | + | 11.0303i | −0.781907 | + | 0.568089i | ||||
\(378\) | 3.87916 | + | 2.81838i | 0.199523 | + | 0.144962i | ||||
\(379\) | 9.77466 | + | 30.0833i | 0.502090 | + | 1.54528i | 0.805608 | + | 0.592450i | \(0.201839\pi\) |
−0.303517 | + | 0.952826i | \(0.598161\pi\) | |||||||
\(380\) | 1.25323 | + | 3.85705i | 0.0642894 | + | 0.197862i | ||||
\(381\) | 2.78809 | + | 2.02567i | 0.142838 | + | 0.103778i | ||||
\(382\) | −8.59154 | + | 6.24212i | −0.439581 | + | 0.319375i | ||||
\(383\) | 0.571635 | − | 1.75931i | 0.0292092 | − | 0.0898966i | −0.935389 | − | 0.353620i | \(-0.884951\pi\) |
0.964598 | + | 0.263723i | \(0.0849506\pi\) | |||||||
\(384\) | 0.935683 | 0.0477489 | ||||||||
\(385\) | −2.09584 | + | 2.57050i | −0.106814 | + | 0.131005i | ||||
\(386\) | −7.98145 | −0.406245 | ||||||||
\(387\) | 5.23295 | − | 16.1054i | 0.266006 | − | 0.818682i | ||||
\(388\) | −9.16927 | + | 6.66186i | −0.465499 | + | 0.338205i | ||||
\(389\) | −12.6712 | − | 9.20614i | −0.642454 | − | 0.466770i | 0.218239 | − | 0.975895i | \(-0.429969\pi\) |
−0.860692 | + | 0.509126i | \(0.829969\pi\) | |||||||
\(390\) | −0.726894 | − | 2.23715i | −0.0368077 | − | 0.113282i | ||||
\(391\) | −5.02397 | − | 15.4622i | −0.254073 | − | 0.781957i | ||||
\(392\) | 0.809017 | + | 0.587785i | 0.0408615 | + | 0.0296876i | ||||
\(393\) | 6.49327 | − | 4.71763i | 0.327542 | − | 0.237973i | ||||
\(394\) | 2.25156 | − | 6.92959i | 0.113432 | − | 0.349108i | ||||
\(395\) | −9.86178 | −0.496200 | ||||||||
\(396\) | −6.81213 | + | 1.80088i | −0.342323 | + | 0.0904974i | ||||
\(397\) | −14.8207 | −0.743827 | −0.371914 | − | 0.928267i | \(-0.621298\pi\) | ||||
−0.371914 | + | 0.928267i | \(0.621298\pi\) | |||||||
\(398\) | −4.38349 | + | 13.4910i | −0.219724 | + | 0.676242i | ||||
\(399\) | 3.06998 | − | 2.23047i | 0.153691 | − | 0.111663i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 4.45980 | + | 13.7258i | 0.222712 | + | 0.685436i | 0.998516 | + | 0.0544622i | \(0.0173444\pi\) |
−0.775804 | + | 0.630974i | \(0.782656\pi\) | |||||||
\(402\) | −1.73314 | − | 5.33407i | −0.0864414 | − | 0.266039i | ||||
\(403\) | 3.14415 | + | 2.28436i | 0.156621 | + | 0.113792i | ||||
\(404\) | −2.56183 | + | 1.86128i | −0.127456 | + | 0.0926022i | ||||
\(405\) | 0.583107 | − | 1.79462i | 0.0289748 | − | 0.0891753i | ||||
\(406\) | 7.46463 | 0.370463 | ||||||||
\(407\) | −8.85261 | − | 13.7323i | −0.438807 | − | 0.680684i | ||||
\(408\) | 4.38463 | 0.217071 | ||||||||
\(409\) | −11.7531 | + | 36.1724i | −0.581155 | + | 1.78861i | 0.0330387 | + | 0.999454i | \(0.489482\pi\) |
−0.614193 | + | 0.789156i | \(0.710518\pi\) | |||||||
\(410\) | 1.33552 | − | 0.970311i | 0.0659566 | − | 0.0479203i | ||||
\(411\) | 1.23454 | + | 0.896944i | 0.0608953 | + | 0.0442430i | ||||
\(412\) | 4.64992 | + | 14.3110i | 0.229085 | + | 0.705051i | ||||
\(413\) | −0.131900 | − | 0.405946i | −0.00649037 | − | 0.0199753i | ||||
\(414\) | 5.96314 | + | 4.33247i | 0.293072 | + | 0.212929i | ||||
\(415\) | 6.59894 | − | 4.79441i | 0.323929 | − | 0.235348i | ||||
\(416\) | 0.776859 | − | 2.39093i | 0.0380886 | − | 0.117225i | ||||
\(417\) | 21.6890 | 1.06212 | ||||||||
\(418\) | −0.748936 | + | 13.4298i | −0.0366316 | + | 0.656875i | ||||
\(419\) | 24.2138 | 1.18292 | 0.591460 | − | 0.806334i | \(-0.298552\pi\) | ||||
0.591460 | + | 0.806334i | \(0.298552\pi\) | |||||||
\(420\) | −0.289142 | + | 0.889888i | −0.0141087 | + | 0.0434221i | ||||
\(421\) | −31.2829 | + | 22.7284i | −1.52463 | + | 1.10771i | −0.565505 | + | 0.824745i | \(0.691319\pi\) |
−0.959129 | + | 0.282968i | \(0.908681\pi\) | |||||||
\(422\) | −18.8315 | − | 13.6819i | −0.916704 | − | 0.666025i | ||||
\(423\) | −1.16495 | − | 3.58536i | −0.0566420 | − | 0.174326i | ||||
\(424\) | −2.20730 | − | 6.79337i | −0.107196 | − | 0.329915i | ||||
\(425\) | −3.79107 | − | 2.75437i | −0.183894 | − | 0.133607i | ||||
\(426\) | −4.95008 | + | 3.59645i | −0.239832 | + | 0.174248i | ||||
\(427\) | 1.90107 | − | 5.85091i | 0.0919995 | − | 0.283145i | ||||
\(428\) | −14.4377 | −0.697872 | ||||||||
\(429\) | 0.434395 | − | 7.78952i | 0.0209728 | − | 0.376082i | ||||
\(430\) | 7.97092 | 0.384392 | ||||||||
\(431\) | −7.29369 | + | 22.4477i | −0.351325 | + | 1.08127i | 0.606785 | + | 0.794866i | \(0.292459\pi\) |
−0.958110 | + | 0.286401i | \(0.907541\pi\) | |||||||
\(432\) | −3.87916 | + | 2.81838i | −0.186636 | + | 0.135599i | ||||
\(433\) | 24.7990 | + | 18.0175i | 1.19176 | + | 0.865866i | 0.993449 | − | 0.114273i | \(-0.0364538\pi\) |
0.198313 | + | 0.980139i | \(0.436454\pi\) | |||||||
\(434\) | −0.477714 | − | 1.47025i | −0.0229310 | − | 0.0705743i | ||||
\(435\) | 2.15834 | + | 6.64268i | 0.103484 | + | 0.318492i | ||||
\(436\) | 9.85939 | + | 7.16327i | 0.472179 | + | 0.343058i | ||||
\(437\) | 11.3833 | − | 8.27044i | 0.544536 | − | 0.395629i | ||||
\(438\) | −0.247324 | + | 0.761185i | −0.0118176 | + | 0.0363708i | ||||
\(439\) | 23.4152 | 1.11755 | 0.558774 | − | 0.829320i | \(-0.311272\pi\) | ||||
0.558774 | + | 0.829320i | \(0.311272\pi\) | |||||||
\(440\) | −1.79704 | − | 2.78759i | −0.0856704 | − | 0.132893i | ||||
\(441\) | −2.12450 | −0.101166 | ||||||||
\(442\) | 3.64037 | − | 11.2039i | 0.173155 | − | 0.532916i | ||||
\(443\) | −0.674103 | + | 0.489764i | −0.0320276 | + | 0.0232694i | −0.603684 | − | 0.797224i | \(-0.706301\pi\) |
0.571656 | + | 0.820493i | \(0.306301\pi\) | |||||||
\(444\) | −3.72907 | − | 2.70933i | −0.176974 | − | 0.128579i | ||||
\(445\) | 0.309166 | + | 0.951516i | 0.0146559 | + | 0.0451062i | ||||
\(446\) | 2.50226 | + | 7.70117i | 0.118485 | + | 0.364661i | ||||
\(447\) | −1.08541 | − | 0.788595i | −0.0513381 | − | 0.0372993i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | −1.84802 | + | 5.68761i | −0.0872133 | + | 0.268415i | −0.985146 | − | 0.171717i | \(-0.945068\pi\) |
0.897933 | + | 0.440132i | \(0.145068\pi\) | |||||||
\(450\) | 2.12450 | 0.100150 | ||||||||
\(451\) | 5.29322 | − | 1.39933i | 0.249248 | − | 0.0658919i | ||||
\(452\) | −11.7294 | −0.551706 | ||||||||
\(453\) | −5.14533 | + | 15.8357i | −0.241749 | + | 0.744026i | ||||
\(454\) | −15.2382 | + | 11.0712i | −0.715162 | + | 0.519596i | ||||
\(455\) | 2.03384 | + | 1.47767i | 0.0953480 | + | 0.0692744i | ||||
\(456\) | 1.17263 | + | 3.60898i | 0.0549133 | + | 0.169006i | ||||
\(457\) | −12.9714 | − | 39.9218i | −0.606775 | − | 1.86746i | −0.484097 | − | 0.875014i | \(-0.660852\pi\) |
−0.122678 | − | 0.992447i | \(-0.539148\pi\) | |||||||
\(458\) | 8.79574 | + | 6.39048i | 0.410998 | + | 0.298607i | ||||
\(459\) | −18.1778 | + | 13.2070i | −0.848468 | + | 0.616448i | ||||
\(460\) | −1.07212 | + | 3.29965i | −0.0499879 | + | 0.153847i | ||||
\(461\) | −32.1474 | −1.49725 | −0.748626 | − | 0.662992i | \(-0.769286\pi\) | ||||
−0.748626 | + | 0.662992i | \(0.769286\pi\) | |||||||
\(462\) | −1.96104 | + | 2.40517i | −0.0912360 | + | 0.111899i | ||||
\(463\) | −8.14625 | −0.378588 | −0.189294 | − | 0.981920i | \(-0.560620\pi\) | ||||
−0.189294 | + | 0.981920i | \(0.560620\pi\) | |||||||
\(464\) | −2.30670 | + | 7.09929i | −0.107086 | + | 0.329576i | ||||
\(465\) | 1.17023 | − | 0.850223i | 0.0542682 | − | 0.0394282i | ||||
\(466\) | −7.26205 | − | 5.27619i | −0.336408 | − | 0.244415i | ||||
\(467\) | 2.37323 | + | 7.30406i | 0.109820 | + | 0.337992i | 0.990831 | − | 0.135103i | \(-0.0431367\pi\) |
−0.881011 | + | 0.473095i | \(0.843137\pi\) | |||||||
\(468\) | 1.65043 | + | 5.07951i | 0.0762913 | + | 0.234801i | ||||
\(469\) | 4.84932 | + | 3.52324i | 0.223921 | + | 0.162688i | ||||
\(470\) | 1.43558 | − | 1.04301i | 0.0662184 | − | 0.0481105i | ||||
\(471\) | 2.10826 | − | 6.48856i | 0.0971436 | − | 0.298977i | ||||
\(472\) | 0.426837 | 0.0196468 | ||||||||
\(473\) | 24.6488 | + | 9.55661i | 1.13335 | + | 0.439414i | ||||
\(474\) | −9.22750 | −0.423833 | ||||||||
\(475\) | 1.25323 | − | 3.85705i | 0.0575022 | − | 0.176974i | ||||
\(476\) | −3.79107 | + | 2.75437i | −0.173763 | + | 0.126246i | ||||
\(477\) | 12.2770 | + | 8.91977i | 0.562126 | + | 0.408408i | ||||
\(478\) | 3.02257 | + | 9.30252i | 0.138249 | + | 0.425487i | ||||
\(479\) | −7.02164 | − | 21.6104i | −0.320827 | − | 0.987404i | −0.973289 | − | 0.229583i | \(-0.926264\pi\) |
0.652462 | − | 0.757821i | \(-0.273736\pi\) | |||||||
\(480\) | −0.756984 | − | 0.549981i | −0.0345514 | − | 0.0251031i | ||||
\(481\) | −10.0192 | + | 7.27935i | −0.456834 | + | 0.331910i | ||||
\(482\) | −7.22650 | + | 22.2409i | −0.329158 | + | 1.01304i | ||||
\(483\) | 3.24631 | 0.147712 | ||||||||
\(484\) | −2.21491 | − | 10.7747i | −0.100678 | − | 0.489759i | ||||
\(485\) | 11.3338 | 0.514643 | ||||||||
\(486\) | 4.99073 | − | 15.3599i | 0.226384 | − | 0.696738i | ||||
\(487\) | −27.0582 | + | 19.6589i | −1.22612 | + | 0.890831i | −0.996593 | − | 0.0824707i | \(-0.973719\pi\) |
−0.229530 | + | 0.973302i | \(0.573719\pi\) | |||||||
\(488\) | 4.97708 | + | 3.61606i | 0.225302 | + | 0.163691i | ||||
\(489\) | −2.72171 | − | 8.37655i | −0.123080 | − | 0.378801i | ||||
\(490\) | −0.309017 | − | 0.951057i | −0.0139600 | − | 0.0429644i | ||||
\(491\) | −4.94302 | − | 3.59132i | −0.223075 | − | 0.162074i | 0.470635 | − | 0.882328i | \(-0.344025\pi\) |
−0.693710 | + | 0.720254i | \(0.744025\pi\) | |||||||
\(492\) | 1.24962 | − | 0.907904i | 0.0563374 | − | 0.0409315i | ||||
\(493\) | −10.8092 | + | 33.2674i | −0.486823 | + | 1.49829i | ||||
\(494\) | 10.1955 | 0.458717 | ||||||||
\(495\) | 6.56966 | + | 2.54713i | 0.295284 | + | 0.114485i | ||||
\(496\) | 1.54591 | 0.0694136 | ||||||||
\(497\) | 2.02073 | − | 6.21917i | 0.0906421 | − | 0.278968i | ||||
\(498\) | 6.17452 | − | 4.48605i | 0.276687 | − | 0.201025i | ||||
\(499\) | −17.0859 | − | 12.4136i | −0.764869 | − | 0.555710i | 0.135531 | − | 0.990773i | \(-0.456726\pi\) |
−0.900400 | + | 0.435063i | \(0.856726\pi\) | |||||||
\(500\) | 0.309017 | + | 0.951057i | 0.0138197 | + | 0.0425325i | ||||
\(501\) | 0.0838274 | + | 0.257994i | 0.00374513 | + | 0.0115263i | ||||
\(502\) | 21.1104 | + | 15.3376i | 0.942205 | + | 0.684552i | ||||
\(503\) | 20.6562 | − | 15.0076i | 0.921016 | − | 0.669157i | −0.0227608 | − | 0.999741i | \(-0.507246\pi\) |
0.943777 | + | 0.330584i | \(0.107246\pi\) | |||||||
\(504\) | 0.656505 | − | 2.02052i | 0.0292431 | − | 0.0900009i | ||||
\(505\) | 3.16660 | 0.140912 | ||||||||
\(506\) | −7.27142 | + | 8.91822i | −0.323254 | + | 0.396463i | ||||
\(507\) | 6.25033 | 0.277587 | ||||||||
\(508\) | 1.13816 | − | 3.50290i | 0.0504977 | − | 0.155416i | ||||
\(509\) | 17.7986 | − | 12.9314i | 0.788908 | − | 0.573175i | −0.118731 | − | 0.992926i | \(-0.537883\pi\) |
0.907639 | + | 0.419751i | \(0.137883\pi\) | |||||||
\(510\) | −3.54724 | − | 2.57722i | −0.157074 | − | 0.114121i | ||||
\(511\) | −0.264324 | − | 0.813507i | −0.0116930 | − | 0.0359874i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −15.7321 | − | 11.4300i | −0.694589 | − | 0.504649i | ||||
\(514\) | 4.46524 | − | 3.24419i | 0.196953 | − | 0.143095i | ||||
\(515\) | 4.64992 | − | 14.3110i | 0.204900 | − | 0.630617i | ||||
\(516\) | 7.45826 | 0.328332 | ||||||||
\(517\) | 5.68981 | − | 1.50417i | 0.250237 | − | 0.0661535i | ||||
\(518\) | 4.92622 | 0.216446 | ||||||||
\(519\) | 3.01251 | − | 9.27156i | 0.132235 | − | 0.406976i | ||||
\(520\) | −2.03384 | + | 1.47767i | −0.0891899 | + | 0.0648003i | ||||
\(521\) | 22.2845 | + | 16.1906i | 0.976300 | + | 0.709323i | 0.956879 | − | 0.290488i | \(-0.0938176\pi\) |
0.0194213 | + | 0.999811i | \(0.493818\pi\) | |||||||
\(522\) | −4.90057 | − | 15.0824i | −0.214492 | − | 0.660139i | ||||
\(523\) | 0.799929 | + | 2.46193i | 0.0349785 | + | 0.107653i | 0.967021 | − | 0.254695i | \(-0.0819752\pi\) |
−0.932043 | + | 0.362348i | \(0.881975\pi\) | |||||||
\(524\) | −6.93960 | − | 5.04191i | −0.303158 | − | 0.220257i | ||||
\(525\) | 0.756984 | − | 0.549981i | 0.0330375 | − | 0.0240031i | ||||
\(526\) | 8.39980 | − | 25.8519i | 0.366249 | − | 1.12720i | ||||
\(527\) | 7.24418 | 0.315561 | ||||||||
\(528\) | −1.68146 | − | 2.60830i | −0.0731761 | − | 0.113512i | ||||
\(529\) | −10.9629 | −0.476647 | ||||||||
\(530\) | −2.20730 | + | 6.79337i | −0.0958790 | + | 0.295085i | ||||
\(531\) | −0.733628 | + | 0.533012i | −0.0318367 | + | 0.0231307i | ||||
\(532\) | −3.28100 | − | 2.38379i | −0.142249 | − | 0.103350i | ||||
\(533\) | −1.28243 | − | 3.94692i | −0.0555483 | − | 0.170960i | ||||
\(534\) | 0.289282 | + | 0.890317i | 0.0125184 | + | 0.0385278i | ||||
\(535\) | 11.6803 | + | 8.48626i | 0.504985 | + | 0.366893i | ||||
\(536\) | −4.84932 | + | 3.52324i | −0.209459 | + | 0.152181i | ||||
\(537\) | 4.31155 | − | 13.2696i | 0.186057 | − | 0.572625i | ||||
\(538\) | 8.14480 | 0.351147 | ||||||||
\(539\) | 0.184670 | − | 3.31148i | 0.00795429 | − | 0.142636i | ||||
\(540\) | 4.79491 | 0.206340 | ||||||||
\(541\) | 5.14492 | − | 15.8344i | 0.221197 | − | 0.680775i | −0.777458 | − | 0.628935i | \(-0.783491\pi\) |
0.998655 | − | 0.0518404i | \(-0.0165087\pi\) | |||||||
\(542\) | −5.10158 | + | 3.70651i | −0.219131 | + | 0.159208i | ||||
\(543\) | 3.31052 | + | 2.40523i | 0.142068 | + | 0.103218i | ||||
\(544\) | −1.44806 | − | 4.45667i | −0.0620850 | − | 0.191078i | ||||
\(545\) | −3.76595 | − | 11.5904i | −0.161316 | − | 0.496479i | ||||
\(546\) | 1.90303 | + | 1.38263i | 0.0814423 | + | 0.0591713i | ||||
\(547\) | 26.0712 | − | 18.9418i | 1.11472 | − | 0.809895i | 0.131323 | − | 0.991340i | \(-0.458077\pi\) |
0.983401 | + | 0.181445i | \(0.0580774\pi\) | |||||||
\(548\) | 0.503965 | − | 1.55104i | 0.0215283 | − | 0.0662573i | ||||
\(549\) | −13.0699 | −0.557811 | ||||||||
\(550\) | −0.184670 | + | 3.31148i | −0.00787434 | + | 0.141202i | ||||
\(551\) | −30.2731 | −1.28968 | ||||||||
\(552\) | −1.00317 | + | 3.08742i | −0.0426975 | + | 0.131410i | ||||
\(553\) | 7.97835 | − | 5.79661i | 0.339274 | − | 0.246497i | ||||
\(554\) | −21.1474 | − | 15.3645i | −0.898465 | − | 0.652773i | ||||
\(555\) | 1.42438 | + | 4.38379i | 0.0604615 | + | 0.186081i | ||||
\(556\) | −7.16298 | − | 22.0454i | −0.303778 | − | 0.934932i | ||||
\(557\) | 35.1218 | + | 25.5175i | 1.48816 | + | 1.08121i | 0.974812 | + | 0.223027i | \(0.0715937\pi\) |
0.513345 | + | 0.858183i | \(0.328406\pi\) | |||||||
\(558\) | −2.65705 | + | 1.93046i | −0.112482 | + | 0.0817227i | ||||
\(559\) | 6.19228 | − | 19.0579i | 0.261906 | − | 0.806062i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | −7.87934 | − | 12.2225i | −0.332666 | − | 0.516036i | ||||
\(562\) | −14.7356 | −0.621586 | ||||||||
\(563\) | −3.72065 | + | 11.4510i | −0.156807 | + | 0.482601i | −0.998339 | − | 0.0576048i | \(-0.981654\pi\) |
0.841533 | + | 0.540206i | \(0.181654\pi\) | |||||||
\(564\) | 1.34325 | − | 0.975928i | 0.0565610 | − | 0.0410940i | ||||
\(565\) | 9.48931 | + | 6.89438i | 0.399218 | + | 0.290049i | ||||
\(566\) | −6.64572 | − | 20.4534i | −0.279340 | − | 0.859721i | ||||
\(567\) | 0.583107 | + | 1.79462i | 0.0244882 | + | 0.0753669i | ||||
\(568\) | 5.29034 | + | 3.84366i | 0.221978 | + | 0.161276i | ||||
\(569\) | 21.3099 | − | 15.4826i | 0.893358 | − | 0.649063i | −0.0433931 | − | 0.999058i | \(-0.513817\pi\) |
0.936751 | + | 0.349995i | \(0.113817\pi\) | |||||||
\(570\) | 1.17263 | − | 3.60898i | 0.0491160 | − | 0.151163i | ||||
\(571\) | 22.2032 | 0.929176 | 0.464588 | − | 0.885527i | \(-0.346203\pi\) | ||||
0.464588 | + | 0.885527i | \(0.346203\pi\) | |||||||
\(572\) | −8.06096 | + | 2.13102i | −0.337046 | + | 0.0891024i | ||||
\(573\) | 9.93670 | 0.415112 | ||||||||
\(574\) | −0.510123 | + | 1.57000i | −0.0212921 | + | 0.0655304i | ||||
\(575\) | 2.80685 | − | 2.03929i | 0.117054 | − | 0.0850444i | ||||
\(576\) | 1.71875 | + | 1.24875i | 0.0716147 | + | 0.0520312i | ||||
\(577\) | 10.4888 | + | 32.2812i | 0.436654 | + | 1.34388i | 0.891382 | + | 0.453254i | \(0.149737\pi\) |
−0.454727 | + | 0.890631i | \(0.650263\pi\) | |||||||
\(578\) | −1.53234 | − | 4.71606i | −0.0637370 | − | 0.196162i | ||||
\(579\) | 6.04183 | + | 4.38964i | 0.251090 | + | 0.182427i | ||||
\(580\) | 6.03901 | − | 4.38760i | 0.250756 | − | 0.182185i | ||||
\(581\) | −2.52057 | + | 7.75752i | −0.104571 | + | 0.321836i | ||||
\(582\) | 10.6049 | 0.439587 | ||||||||
\(583\) | −14.9705 | + | 18.3610i | −0.620016 | + | 0.760434i | ||||
\(584\) | 0.855372 | 0.0353955 | ||||||||
\(585\) | 1.65043 | − | 5.07951i | 0.0682370 | − | 0.210012i | ||||
\(586\) | −4.94798 | + | 3.59492i | −0.204399 | + | 0.148505i | ||||
\(587\) | 8.62007 | + | 6.26285i | 0.355788 | + | 0.258495i | 0.751293 | − | 0.659968i | \(-0.229430\pi\) |
−0.395505 | + | 0.918464i | \(0.629430\pi\) | |||||||
\(588\) | −0.289142 | − | 0.889888i | −0.0119240 | − | 0.0366984i | ||||
\(589\) | 1.93739 | + | 5.96267i | 0.0798287 | + | 0.245687i | ||||
\(590\) | −0.345318 | − | 0.250889i | −0.0142165 | − | 0.0103289i | ||||
\(591\) | −5.51554 | + | 4.00727i | −0.226879 | + | 0.164837i | ||||
\(592\) | −1.52229 | + | 4.68512i | −0.0625656 | + | 0.192557i | ||||
\(593\) | 44.1567 | 1.81330 | 0.906649 | − | 0.421886i | \(-0.138632\pi\) | ||||
0.906649 | + | 0.421886i | \(0.138632\pi\) | |||||||
\(594\) | 14.8275 | + | 5.74878i | 0.608379 | + | 0.235875i | ||||
\(595\) | 4.68602 | 0.192108 | ||||||||
\(596\) | −0.443087 | + | 1.36368i | −0.0181495 | + | 0.0558586i | ||||
\(597\) | 10.7380 | − | 7.80162i | 0.439478 | − | 0.319299i | ||||
\(598\) | 7.05632 | + | 5.12672i | 0.288554 | + | 0.209647i | ||||
\(599\) | 7.96094 | + | 24.5012i | 0.325275 | + | 1.00109i | 0.971316 | + | 0.237791i | \(0.0764234\pi\) |
−0.646041 | + | 0.763303i | \(0.723577\pi\) | |||||||
\(600\) | 0.289142 | + | 0.889888i | 0.0118042 | + | 0.0363295i | ||||
\(601\) | −39.4938 | − | 28.6939i | −1.61099 | − | 1.17045i | −0.860293 | − | 0.509800i | \(-0.829719\pi\) |
−0.750694 | − | 0.660651i | \(-0.770281\pi\) | |||||||
\(602\) | −6.44861 | + | 4.68519i | −0.262826 | + | 0.190954i | ||||
\(603\) | 3.93515 | − | 12.1112i | 0.160252 | − | 0.493205i | ||||
\(604\) | 17.7952 | 0.724075 | ||||||||
\(605\) | −4.54131 | + | 10.0188i | −0.184630 | + | 0.407322i | ||||
\(606\) | 2.96293 | 0.120361 | ||||||||
\(607\) | −7.23450 | + | 22.2655i | −0.293639 | + | 0.903729i | 0.690036 | + | 0.723775i | \(0.257595\pi\) |
−0.983675 | + | 0.179954i | \(0.942405\pi\) | |||||||
\(608\) | 3.28100 | − | 2.38379i | 0.133062 | − | 0.0966753i | ||||
\(609\) | −5.65060 | − | 4.10540i | −0.228974 | − | 0.166359i | ||||
\(610\) | −1.90107 | − | 5.85091i | −0.0769723 | − | 0.236896i | ||||
\(611\) | −1.37852 | − | 4.24264i | −0.0557689 | − | 0.171639i | ||||
\(612\) | 8.05411 | + | 5.85165i | 0.325568 | + | 0.236539i | ||||
\(613\) | 27.8250 | − | 20.2160i | 1.12384 | − | 0.816518i | 0.139054 | − | 0.990285i | \(-0.455594\pi\) |
0.984787 | + | 0.173767i | \(0.0555940\pi\) | |||||||
\(614\) | −7.68589 | + | 23.6547i | −0.310177 | + | 0.954628i | ||||
\(615\) | −1.54462 | −0.0622851 | ||||||||
\(616\) | 3.09234 | + | 1.19893i | 0.124594 | + | 0.0483065i | ||||
\(617\) | −33.9149 | −1.36536 | −0.682681 | − | 0.730717i | \(-0.739186\pi\) | ||||
−0.682681 | + | 0.730717i | \(0.739186\pi\) | |||||||
\(618\) | 4.35085 | − | 13.3905i | 0.175017 | − | 0.538647i | ||||
\(619\) | 37.6422 | − | 27.3487i | 1.51297 | − | 1.09924i | 0.548129 | − | 0.836394i | \(-0.315340\pi\) |
0.964839 | − | 0.262842i | \(-0.0846598\pi\) | |||||||
\(620\) | −1.25067 | − | 0.908665i | −0.0502281 | − | 0.0364929i | ||||
\(621\) | −5.14072 | − | 15.8215i | −0.206290 | − | 0.634895i | ||||
\(622\) | −1.04431 | − | 3.21406i | −0.0418730 | − | 0.128872i | ||||
\(623\) | −0.809408 | − | 0.588069i | −0.0324282 | − | 0.0235605i | ||||
\(624\) | −1.90303 | + | 1.38263i | −0.0761823 | + | 0.0553497i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 20.7401 | 0.828941 | ||||||||
\(627\) | 7.95309 | − | 9.75427i | 0.317616 | − | 0.389548i | ||||
\(628\) | −7.29144 | −0.290960 | ||||||||
\(629\) | −7.13346 | + | 21.9545i | −0.284430 | + | 0.875385i | ||||
\(630\) | −1.71875 | + | 1.24875i | −0.0684768 | + | 0.0497513i | ||||
\(631\) | 39.7337 | + | 28.8683i | 1.58178 | + | 1.14923i | 0.914625 | + | 0.404304i | \(0.132486\pi\) |
0.667151 | + | 0.744923i | \(0.267514\pi\) | |||||||
\(632\) | 3.04746 | + | 9.37911i | 0.121221 | + | 0.373081i | ||||
\(633\) | 6.73037 | + | 20.7140i | 0.267508 | + | 0.823306i | ||||
\(634\) | 6.03688 | + | 4.38605i | 0.239755 | + | 0.174192i | ||||
\(635\) | −2.97974 | + | 2.16491i | −0.118247 | + | 0.0859118i | ||||
\(636\) | −2.06533 | + | 6.35644i | −0.0818958 | + | 0.252049i | ||||
\(637\) | −2.51397 | −0.0996070 | ||||||||
\(638\) | 23.9351 | − | 6.32756i | 0.947600 | − | 0.250510i | ||||
\(639\) | −13.8926 | −0.549581 | ||||||||
\(640\) | −0.309017 | + | 0.951057i | −0.0122150 | + | 0.0375938i | ||||
\(641\) | 8.56092 | − | 6.21987i | 0.338136 | − | 0.245670i | −0.405739 | − | 0.913989i | \(-0.632986\pi\) |
0.743875 | + | 0.668319i | \(0.232986\pi\) | |||||||
\(642\) | 10.9291 | + | 7.94046i | 0.431337 | + | 0.313385i | ||||
\(643\) | −8.40839 | − | 25.8784i | −0.331594 | − | 1.02054i | −0.968375 | − | 0.249498i | \(-0.919734\pi\) |
0.636781 | − | 0.771045i | \(-0.280266\pi\) | |||||||
\(644\) | −1.07212 | − | 3.29965i | −0.0422475 | − | 0.130024i | ||||
\(645\) | −6.03386 | − | 4.38385i | −0.237583 | − | 0.172614i | ||||
\(646\) | 15.3748 | − | 11.1705i | 0.604915 | − | 0.439496i | ||||
\(647\) | −10.0973 | + | 31.0763i | −0.396966 | + | 1.22174i | 0.530454 | + | 0.847714i | \(0.322021\pi\) |
−0.927420 | + | 0.374022i | \(0.877979\pi\) | |||||||
\(648\) | −1.88697 | −0.0741273 | ||||||||
\(649\) | −0.767042 | − | 1.18985i | −0.0301090 | − | 0.0467056i | ||||
\(650\) | 2.51397 | 0.0986059 | ||||||||
\(651\) | −0.446989 | + | 1.37569i | −0.0175189 | + | 0.0539175i | ||||
\(652\) | −7.61531 | + | 5.53285i | −0.298239 | + | 0.216683i | ||||
\(653\) | 29.0216 | + | 21.0854i | 1.13570 | + | 0.825137i | 0.986515 | − | 0.163671i | \(-0.0523336\pi\) |
0.149189 | + | 0.988809i | \(0.452334\pi\) | |||||||
\(654\) | −3.52374 | − | 10.8450i | −0.137789 | − | 0.424071i | ||||
\(655\) | 2.65069 | + | 8.15799i | 0.103571 | + | 0.318759i | ||||
\(656\) | −1.33552 | − | 0.970311i | −0.0521433 | − | 0.0378843i | ||||
\(657\) | −1.47017 | + | 1.06814i | −0.0573569 | + | 0.0416722i | ||||
\(658\) | −0.548343 | + | 1.68763i | −0.0213767 | + | 0.0657906i | ||||
\(659\) | −2.91875 | −0.113698 | −0.0568492 | − | 0.998383i | \(-0.518105\pi\) | ||||
−0.0568492 | + | 0.998383i | \(0.518105\pi\) | |||||||
\(660\) | −0.172792 | + | 3.09850i | −0.00672594 | + | 0.120609i | ||||
\(661\) | −45.9224 | −1.78617 | −0.893087 | − | 0.449883i | \(-0.851466\pi\) | ||||
−0.893087 | + | 0.449883i | \(0.851466\pi\) | |||||||
\(662\) | 2.55465 | − | 7.86240i | 0.0992892 | − | 0.305581i | ||||
\(663\) | −8.91765 | + | 6.47905i | −0.346333 | + | 0.251625i | ||||
\(664\) | −6.59894 | − | 4.79441i | −0.256089 | − | 0.186059i | ||||
\(665\) | 1.25323 | + | 3.85705i | 0.0485982 | + | 0.149570i | ||||
\(666\) | −3.23409 | − | 9.95351i | −0.125319 | − | 0.385691i | ||||
\(667\) | −20.9521 | − | 15.2226i | −0.811268 | − | 0.589420i | ||||
\(668\) | 0.234548 | − | 0.170409i | 0.00907495 | − | 0.00659334i | ||||
\(669\) | 2.34132 | − | 7.20585i | 0.0905208 | − | 0.278594i | ||||
\(670\) | 5.99409 | 0.231572 | ||||||||
\(671\) | 1.13609 | − | 20.3722i | 0.0438583 | − | 0.786462i | ||||
\(672\) | 0.935683 | 0.0360948 | ||||||||
\(673\) | −5.28949 | + | 16.2794i | −0.203895 | + | 0.627524i | 0.795862 | + | 0.605478i | \(0.207018\pi\) |
−0.999757 | + | 0.0220461i | \(0.992982\pi\) | |||||||
\(674\) | 0.250073 | − | 0.181688i | 0.00963244 | − | 0.00699838i | ||||
\(675\) | −3.87916 | − | 2.81838i | −0.149309 | − | 0.108479i | ||||
\(676\) | −2.06422 | − | 6.35303i | −0.0793932 | − | 0.244347i | ||||
\(677\) | −0.0956622 | − | 0.294418i | −0.00367660 | − | 0.0113154i | 0.949201 | − | 0.314669i | \(-0.101894\pi\) |
−0.952878 | + | 0.303354i | \(0.901894\pi\) | |||||||
\(678\) | 8.87899 | + | 6.45096i | 0.340995 | + | 0.247748i | ||||
\(679\) | −9.16927 | + | 6.66186i | −0.351884 | + | 0.255659i | ||||
\(680\) | −1.44806 | + | 4.45667i | −0.0555305 | + | 0.170905i | ||||
\(681\) | 17.6240 | 0.675352 | ||||||||
\(682\) | −2.77807 | − | 4.30937i | −0.106378 | − | 0.165014i | ||||
\(683\) | 44.6187 | 1.70729 | 0.853644 | − | 0.520856i | \(-0.174387\pi\) | ||||
0.853644 | + | 0.520856i | \(0.174387\pi\) | |||||||
\(684\) | −2.66249 | + | 8.19429i | −0.101803 | + | 0.313316i | ||||
\(685\) | −1.31940 | + | 0.958598i | −0.0504116 | + | 0.0366261i | ||||
\(686\) | 0.809017 | + | 0.587785i | 0.0308884 | + | 0.0224417i | ||||
\(687\) | −3.14359 | − | 9.67498i | −0.119935 | − | 0.369123i | ||||
\(688\) | −2.46315 | − | 7.58080i | −0.0939067 | − | 0.289015i | ||||
\(689\) | 14.5277 | + | 10.5550i | 0.553460 | + | 0.402113i | ||||
\(690\) | 2.62632 | − | 1.90813i | 0.0999823 | − | 0.0726414i | ||||
\(691\) | 0.570571 | − | 1.75604i | 0.0217055 | − | 0.0668027i | −0.939617 | − | 0.342228i | \(-0.888819\pi\) |
0.961323 | + | 0.275425i | \(0.0888186\pi\) | |||||||
\(692\) | −10.4188 | −0.396063 | ||||||||
\(693\) | −6.81213 | + | 1.80088i | −0.258772 | + | 0.0684096i | ||||
\(694\) | 6.12313 | 0.232431 | ||||||||
\(695\) | −7.16298 | + | 22.0454i | −0.271707 | + | 0.836229i | ||||
\(696\) | 5.65060 | − | 4.10540i | 0.214186 | − | 0.155615i | ||||
\(697\) | −6.25827 | − | 4.54690i | −0.237049 | − | 0.172226i | ||||
\(698\) | −6.11353 | − | 18.8155i | −0.231400 | − | 0.712177i | ||||
\(699\) | 2.59545 | + | 7.98798i | 0.0981690 | + | 0.302133i | ||||
\(700\) | −0.809017 | − | 0.587785i | −0.0305780 | − | 0.0222162i | ||||
\(701\) | 11.2934 | − | 8.20515i | 0.426546 | − | 0.309904i | −0.353720 | − | 0.935351i | \(-0.615083\pi\) |
0.780266 | + | 0.625447i | \(0.215083\pi\) | |||||||
\(702\) | 3.72497 | − | 11.4643i | 0.140590 | − | 0.432691i | ||||
\(703\) | −19.9785 | −0.753503 | ||||||||
\(704\) | −2.09584 | + | 2.57050i | −0.0789899 | + | 0.0968793i | ||||
\(705\) | −1.66035 | −0.0625323 | ||||||||
\(706\) | 9.52563 | − | 29.3169i | 0.358502 | − | 1.10336i | ||||
\(707\) | −2.56183 | + | 1.86128i | −0.0963476 | + | 0.0700007i | ||||
\(708\) | −0.323109 | − | 0.234752i | −0.0121432 | − | 0.00882253i | ||||
\(709\) | −3.78408 | − | 11.6462i | −0.142114 | − | 0.437382i | 0.854515 | − | 0.519428i | \(-0.173855\pi\) |
−0.996629 | + | 0.0820453i | \(0.973855\pi\) | |||||||
\(710\) | −2.02073 | − | 6.21917i | −0.0758367 | − | 0.233401i | ||||
\(711\) | −16.9500 | − | 12.3149i | −0.635674 | − | 0.461844i | ||||
\(712\) | 0.809408 | − | 0.588069i | 0.0303338 | − | 0.0220388i | ||||
\(713\) | −1.65741 | + | 5.10097i | −0.0620703 | + | 0.191033i | ||||
\(714\) | 4.38463 | 0.164091 | ||||||||
\(715\) | 7.77404 | + | 3.01408i | 0.290733 | + | 0.112720i | ||||
\(716\) | −14.9115 | −0.557270 | ||||||||
\(717\) | 2.82817 | − | 8.70422i | 0.105620 | − | 0.325065i | ||||
\(718\) | 20.4221 | − | 14.8375i | 0.762146 | − | 0.553731i | ||||
\(719\) | 9.35473 | + | 6.79661i | 0.348873 | + | 0.253471i | 0.748396 | − | 0.663252i | \(-0.230824\pi\) |
−0.399523 | + | 0.916723i | \(0.630824\pi\) | |||||||
\(720\) | −0.656505 | − | 2.02052i | −0.0244665 | − | 0.0753002i | ||||
\(721\) | 4.64992 | + | 14.3110i | 0.173172 | + | 0.532969i | ||||
\(722\) | −2.06508 | − | 1.50037i | −0.0768545 | − | 0.0558380i | ||||
\(723\) | 17.7024 | − | 12.8616i | 0.658360 | − | 0.478326i | ||||
\(724\) | 1.35143 | − | 4.15926i | 0.0502253 | − | 0.154578i | ||||
\(725\) | −7.46463 | −0.277229 | ||||||||
\(726\) | −4.24923 | + | 9.37443i | −0.157704 | + | 0.347918i | ||||
\(727\) | −11.2457 | −0.417080 | −0.208540 | − | 0.978014i | \(-0.566871\pi\) | ||||
−0.208540 | + | 0.978014i | \(0.566871\pi\) | |||||||
\(728\) | 0.776859 | − | 2.39093i | 0.0287923 | − | 0.0886136i | ||||
\(729\) | −7.64576 | + | 5.55497i | −0.283176 | + | 0.205740i | ||||
\(730\) | −0.692010 | − | 0.502775i | −0.0256125 | − | 0.0186085i | ||||
\(731\) | −11.5424 | − | 35.5237i | −0.426910 | − | 1.31389i | ||||
\(732\) | −1.77880 | − | 5.47460i | −0.0657465 | − | 0.202347i | ||||
\(733\) | 10.7782 | + | 7.83082i | 0.398102 | + | 0.289238i | 0.768767 | − | 0.639528i | \(-0.220870\pi\) |
−0.370665 | + | 0.928766i | \(0.620870\pi\) | |||||||
\(734\) | −7.17619 | + | 5.21380i | −0.264878 | + | 0.192445i | ||||
\(735\) | −0.289142 | + | 0.889888i | −0.0106652 | + | 0.0328240i | ||||
\(736\) | 3.46945 | 0.127886 | ||||||||
\(737\) | 18.5358 | + | 7.18653i | 0.682773 | + | 0.264719i | ||||
\(738\) | 3.50710 | 0.129098 | ||||||||
\(739\) | −13.1336 | + | 40.4210i | −0.483127 | + | 1.48691i | 0.351548 | + | 0.936170i | \(0.385655\pi\) |
−0.834675 | + | 0.550742i | \(0.814345\pi\) | |||||||
\(740\) | 3.98540 | − | 2.89556i | 0.146506 | − | 0.106443i | ||||
\(741\) | −7.71783 | − | 5.60733i | −0.283522 | − | 0.205990i | ||||
\(742\) | −2.20730 | − | 6.79337i | −0.0810325 | − | 0.249392i | ||||
\(743\) | 6.82541 | + | 21.0064i | 0.250400 | + | 0.770652i | 0.994701 | + | 0.102808i | \(0.0327827\pi\) |
−0.744301 | + | 0.667844i | \(0.767217\pi\) | |||||||
\(744\) | −1.17023 | − | 0.850223i | −0.0429028 | − | 0.0311707i | ||||
\(745\) | 1.16002 | − | 0.842802i | 0.0424997 | − | 0.0308779i | ||||
\(746\) | 7.13398 | − | 21.9561i | 0.261193 | − | 0.803871i | ||||
\(747\) | 17.3290 | 0.634034 | ||||||||
\(748\) | −9.82114 | + | 12.0454i | −0.359097 | + | 0.440423i | ||||
\(749\) | −14.4377 | −0.527542 | ||||||||
\(750\) | 0.289142 | − | 0.889888i | 0.0105580 | − | 0.0324941i | ||||
\(751\) | −16.3987 | + | 11.9143i | −0.598395 | + | 0.434760i | −0.845309 | − | 0.534278i | \(-0.820584\pi\) |
0.246914 | + | 0.969037i | \(0.420584\pi\) | |||||||
\(752\) | −1.43558 | − | 1.04301i | −0.0523503 | − | 0.0380347i | ||||
\(753\) | −7.54486 | − | 23.2207i | −0.274950 | − | 0.846209i | ||||
\(754\) | −5.79896 | − | 17.8474i | −0.211186 | − | 0.649963i | ||||
\(755\) | −14.3966 | − | 10.4597i | −0.523945 | − | 0.380669i | ||||
\(756\) | −3.87916 | + | 2.81838i | −0.141084 | + | 0.102503i | ||||
\(757\) | −1.70285 | + | 5.24083i | −0.0618911 | + | 0.190481i | −0.977221 | − | 0.212223i | \(-0.931930\pi\) |
0.915330 | + | 0.402704i | \(0.131930\pi\) | |||||||
\(758\) | −31.6315 | −1.14891 | ||||||||
\(759\) | 10.4092 | − | 2.75181i | 0.377830 | − | 0.0998843i | ||||
\(760\) | −4.05554 | −0.147110 | ||||||||
\(761\) | 10.4972 | − | 32.3070i | 0.380523 | − | 1.17113i | −0.559153 | − | 0.829064i | \(-0.688874\pi\) |
0.939676 | − | 0.342065i | \(-0.111126\pi\) | |||||||
\(762\) | −2.78809 | + | 2.02567i | −0.101002 | + | 0.0733823i | ||||
\(763\) | 9.85939 | + | 7.16327i | 0.356934 | + | 0.259328i | ||||
\(764\) | −3.28168 | − | 10.1000i | −0.118727 | − | 0.365404i | ||||
\(765\) | −3.07640 | − | 9.46817i | −0.111227 | − | 0.342323i | ||||
\(766\) | 1.49656 | + | 1.08731i | 0.0540729 | + | 0.0392862i | ||||
\(767\) | −0.868119 | + | 0.630726i | −0.0313460 | + | 0.0227742i | ||||
\(768\) | −0.289142 | + | 0.889888i | −0.0104335 | + | 0.0321111i | ||||
\(769\) | 0.669422 | 0.0241400 | 0.0120700 | − | 0.999927i | \(-0.496158\pi\) | ||||
0.0120700 | + | 0.999927i | \(0.496158\pi\) | |||||||
\(770\) | −1.79704 | − | 2.78759i | −0.0647608 | − | 0.100458i | ||||
\(771\) | −5.16436 | −0.185990 | ||||||||
\(772\) | 2.46640 | − | 7.59081i | 0.0887678 | − | 0.273199i | ||||
\(773\) | 26.4800 | − | 19.2388i | 0.952419 | − | 0.691973i | 0.00104112 | − | 0.999999i | \(-0.499669\pi\) |
0.951378 | + | 0.308027i | \(0.0996686\pi\) | |||||||
\(774\) | 13.7000 | + | 9.95367i | 0.492438 | + | 0.357777i | ||||
\(775\) | 0.477714 | + | 1.47025i | 0.0171600 | + | 0.0528130i | ||||
\(776\) | −3.50235 | − | 10.7791i | −0.125727 | − | 0.386948i | ||||
\(777\) | −3.72907 | − | 2.70933i | −0.133780 | − | 0.0971966i | ||||
\(778\) | 12.6712 | − | 9.20614i | 0.454283 | − | 0.330056i | ||||
\(779\) | 2.06882 | − | 6.36719i | 0.0741233 | − | 0.228128i | ||||
\(780\) | 2.35228 | 0.0842251 | ||||||||
\(781\) | 1.20760 | − | 21.6545i | 0.0432112 | − | 0.774859i | ||||
\(782\) | 16.2579 | 0.581382 | ||||||||
\(783\) | −11.0604 | + | 34.0404i | −0.395266 | + | 1.21651i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | 5.89890 | + | 4.28580i | 0.210541 | + | 0.152967i | ||||
\(786\) | 2.48021 | + | 7.63329i | 0.0884661 | + | 0.272271i | ||||
\(787\) | −5.25110 | − | 16.1612i | −0.187182 | − | 0.576086i | 0.812798 | − | 0.582546i | \(-0.197944\pi\) |
−0.999979 | + | 0.00646064i | \(0.997944\pi\) | |||||||
\(788\) | 5.89466 | + | 4.28272i | 0.209989 | + | 0.152566i | ||||
\(789\) | −20.5766 | + | 14.9498i | −0.732546 | + | 0.532226i | ||||
\(790\) | 3.04746 | − | 9.37911i | 0.108424 | − | 0.333694i | ||||
\(791\) | −11.7294 | −0.417050 | ||||||||
\(792\) | 0.392330 | − | 7.03523i | 0.0139408 | − | 0.249986i | ||||
\(793\) | −15.4659 | −0.549212 | ||||||||
\(794\) | 4.57983 | − | 14.0953i | 0.162532 | − | 0.500223i | ||||
\(795\) | 5.40711 | − | 3.92850i | 0.191771 | − | 0.139329i | ||||
\(796\) | −11.4761 | − | 8.33789i | −0.406760 | − | 0.295529i | ||||
\(797\) | 14.3562 | + | 44.1838i | 0.508522 | + | 1.56507i | 0.794767 | + | 0.606914i | \(0.207593\pi\) |
−0.286245 | + | 0.958156i | \(0.592407\pi\) | |||||||
\(798\) | 1.17263 | + | 3.60898i | 0.0415106 | + | 0.127756i | ||||
\(799\) | −6.72716 | − | 4.88757i | −0.237990 | − | 0.172910i | ||||
\(800\) | 0.809017 | − | 0.587785i | 0.0286031 | − | 0.0207813i | ||||
\(801\) | −0.656822 | + | 2.02149i | −0.0232077 | + | 0.0714259i | ||||
\(802\) | −14.4322 | −0.509619 | ||||||||
\(803\) | −1.53714 | − | 2.38443i | −0.0542443 | − | 0.0841445i | ||||
\(804\) | 5.60857 | 0.197799 | ||||||||
\(805\) | −1.07212 | + | 3.29965i | −0.0377873 | + | 0.116297i | ||||
\(806\) | −3.14415 | + | 2.28436i | −0.110748 | + | 0.0804630i | ||||
\(807\) | −6.16549 | − | 4.47949i | −0.217035 | − | 0.157685i | ||||
\(808\) | −0.978533 | − | 3.01161i | −0.0344247 | − | 0.105948i | ||||
\(809\) | 0.879786 | + | 2.70770i | 0.0309316 | + | 0.0951977i | 0.965330 | − | 0.261031i | \(-0.0840624\pi\) |
−0.934399 | + | 0.356229i | \(0.884062\pi\) | |||||||
\(810\) | 1.52659 | + | 1.10914i | 0.0536391 | + | 0.0389711i | ||||
\(811\) | −1.18621 | + | 0.861833i | −0.0416535 | + | 0.0302630i | −0.608417 | − | 0.793617i | \(-0.708195\pi\) |
0.566764 | + | 0.823880i | \(0.308195\pi\) | |||||||
\(812\) | −2.30670 | + | 7.09929i | −0.0809492 | + | 0.249136i | ||||
\(813\) | 5.90032 | 0.206933 | ||||||||
\(814\) | 15.7958 | − | 4.17582i | 0.553642 | − | 0.146362i | ||||
\(815\) | 9.41304 | 0.329724 | ||||||||
\(816\) | −1.35492 | + | 4.17003i | −0.0474319 | + | 0.145980i | ||||
\(817\) | 26.1526 | − | 19.0010i | 0.914964 | − | 0.664760i | ||||
\(818\) | −30.7701 | − | 22.3558i | −1.07585 | − | 0.781651i | ||||
\(819\) | 1.65043 | + | 5.07951i | 0.0576708 | + | 0.177493i | ||||
\(820\) | 0.510123 | + | 1.57000i | 0.0178143 | + | 0.0548267i | ||||
\(821\) | 15.8964 | + | 11.5494i | 0.554789 | + | 0.403078i | 0.829548 | − | 0.558435i | \(-0.188598\pi\) |
−0.274759 | + | 0.961513i | \(0.588598\pi\) | |||||||
\(822\) | −1.23454 | + | 0.896944i | −0.0430594 | + | 0.0312845i | ||||
\(823\) | −5.27652 | + | 16.2395i | −0.183928 | + | 0.566072i | −0.999928 | − | 0.0119797i | \(-0.996187\pi\) |
0.816000 | + | 0.578051i | \(0.196187\pi\) | |||||||
\(824\) | −15.0475 | −0.524203 | ||||||||
\(825\) | 1.96104 | − | 2.40517i | 0.0682747 | − | 0.0837373i | ||||
\(826\) | 0.426837 | 0.0148516 | ||||||||
\(827\) | 4.93881 | − | 15.2001i | 0.171739 | − | 0.528559i | −0.827730 | − | 0.561126i | \(-0.810368\pi\) |
0.999470 | + | 0.0325673i | \(0.0103683\pi\) | |||||||
\(828\) | −5.96314 | + | 4.33247i | −0.207233 | + | 0.150564i | ||||
\(829\) | −14.2757 | − | 10.3719i | −0.495817 | − | 0.360232i | 0.311600 | − | 0.950213i | \(-0.399135\pi\) |
−0.807417 | + | 0.589981i | \(0.799135\pi\) | |||||||
\(830\) | 2.52057 | + | 7.75752i | 0.0874903 | + | 0.269268i | ||||
\(831\) | 7.55805 | + | 23.2613i | 0.262186 | + | 0.806925i | ||||
\(832\) | 2.03384 | + | 1.47767i | 0.0705108 | + | 0.0512291i | ||||
\(833\) | −3.79107 | + | 2.75437i | −0.131353 | + | 0.0954333i | ||||
\(834\) | −6.70228 | + | 20.6275i | −0.232081 | + | 0.714272i | ||||
\(835\) | −0.289918 | −0.0100330 | ||||||||
\(836\) | −12.5411 | − | 4.86233i | −0.433743 | − | 0.168167i | ||||
\(837\) | 7.41251 | 0.256214 | ||||||||
\(838\) | −7.48247 | + | 23.0287i | −0.258477 | + | 0.795512i | ||||
\(839\) | −6.44158 | + | 4.68008i | −0.222388 | + | 0.161574i | −0.693401 | − | 0.720552i | \(-0.743889\pi\) |
0.471013 | + | 0.882126i | \(0.343889\pi\) | |||||||
\(840\) | −0.756984 | − | 0.549981i | −0.0261184 | − | 0.0189761i | ||||
\(841\) | 8.25715 | + | 25.4129i | 0.284729 | + | 0.876307i | ||||
\(842\) | −11.9490 | − | 36.7752i | −0.411790 | − | 1.26736i | ||||
\(843\) | 11.1546 | + | 8.10432i | 0.384186 | + | 0.279128i | ||||
\(844\) | 18.8315 | − | 13.6819i | 0.648208 | − | 0.470951i | ||||
\(845\) | −2.06422 | + | 6.35303i | −0.0710114 | + | 0.218551i | ||||
\(846\) | 3.76987 | 0.129611 | ||||||||
\(847\) | −2.21491 | − | 10.7747i | −0.0761052 | − | 0.370223i | ||||
\(848\) | 7.14297 | 0.245291 | ||||||||
\(849\) | −6.21829 | + | 19.1379i | −0.213411 | + | 0.656812i | ||||
\(850\) | 3.79107 | − | 2.75437i | 0.130033 | − | 0.0944742i | ||||
\(851\) | −13.8272 | − | 10.0460i | −0.473989 | − | 0.344373i | ||||
\(852\) | −1.89076 | − | 5.81917i | −0.0647765 | − | 0.199362i | ||||
\(853\) | −12.1523 | − | 37.4009i | −0.416086 | − | 1.28058i | −0.911276 | − | 0.411797i | \(-0.864901\pi\) |
0.495189 | − | 0.868785i | \(-0.335099\pi\) | |||||||
\(854\) | 4.97708 | + | 3.61606i | 0.170312 | + | 0.123739i | ||||
\(855\) | 6.97048 | − | 5.06435i | 0.238385 | − | 0.173197i | ||||
\(856\) | 4.46149 | − | 13.7311i | 0.152491 | − | 0.469318i | ||||
\(857\) | −42.5288 | −1.45276 | −0.726379 | − | 0.687295i | \(-0.758798\pi\) | ||||
−0.726379 | + | 0.687295i | \(0.758798\pi\) | |||||||
\(858\) | 7.27404 | + | 2.82023i | 0.248332 | + | 0.0962810i | ||||
\(859\) | 36.8680 | 1.25792 | 0.628960 | − | 0.777438i | \(-0.283481\pi\) | ||||
0.628960 | + | 0.777438i | \(0.283481\pi\) | |||||||
\(860\) | −2.46315 | + | 7.58080i | −0.0839927 | + | 0.258503i | ||||
\(861\) | 1.24962 | − | 0.907904i | 0.0425870 | − | 0.0309413i | ||||
\(862\) | −19.0951 | − | 13.8734i | −0.650383 | − | 0.472531i | ||||
\(863\) | 7.75554 | + | 23.8691i | 0.264002 | + | 0.812514i | 0.991922 | + | 0.126852i | \(0.0404872\pi\) |
−0.727920 | + | 0.685662i | \(0.759513\pi\) | |||||||
\(864\) | −1.48171 | − | 4.56023i | −0.0504087 | − | 0.155142i | ||||
\(865\) | 8.42898 | + | 6.12401i | 0.286594 | + | 0.208223i | ||||
\(866\) | −24.7990 | + | 18.0175i | −0.842703 | + | 0.612260i | ||||
\(867\) | −1.43379 | + | 4.41274i | −0.0486939 | + | 0.149865i | ||||
\(868\) | 1.54591 | 0.0524717 | ||||||||
\(869\) | 20.6687 | − | 25.3497i | 0.701138 | − | 0.859929i | ||||
\(870\) | −6.98453 | −0.236798 | ||||||||
\(871\) | 4.65656 | − | 14.3314i | 0.157782 | − | 0.485602i | ||||
\(872\) | −9.85939 | + | 7.16327i | −0.333881 | + | 0.242579i | ||||
\(873\) | 19.4801 | + | 14.1531i | 0.659301 | + | 0.479010i | ||||
\(874\) | 4.34803 | + | 13.3819i | 0.147074 | + | 0.452648i | ||||
\(875\) | 0.309017 | + | 0.951057i | 0.0104467 | + | 0.0321516i | ||||
\(876\) | −0.647503 | − | 0.470438i | −0.0218771 | − | 0.0158946i | ||||
\(877\) | 44.2073 | − | 32.1185i | 1.49278 | − | 1.08456i | 0.519625 | − | 0.854395i | \(-0.326072\pi\) |
0.973150 | − | 0.230170i | \(-0.0739283\pi\) | |||||||
\(878\) | −7.23571 | + | 22.2692i | −0.244193 | + | 0.751550i | ||||
\(879\) | 5.72268 | 0.193021 | ||||||||
\(880\) | 3.20647 | − | 0.847672i | 0.108090 | − | 0.0285750i | ||||
\(881\) | −49.1584 | −1.65619 | −0.828094 | − | 0.560590i | \(-0.810575\pi\) | ||||
−0.828094 | + | 0.560590i | \(0.810575\pi\) | |||||||
\(882\) | 0.656505 | − | 2.02052i | 0.0221057 | − | 0.0680343i | ||||
\(883\) | 21.7830 | − | 15.8262i | 0.733055 | − | 0.532595i | −0.157474 | − | 0.987523i | \(-0.550335\pi\) |
0.890528 | + | 0.454928i | \(0.150335\pi\) | |||||||
\(884\) | 9.53062 | + | 6.92440i | 0.320550 | + | 0.232893i | ||||
\(885\) | 0.123417 | + | 0.379837i | 0.00414860 | + | 0.0127681i | ||||
\(886\) | −0.257484 | − | 0.792455i | −0.00865035 | − | 0.0266231i | ||||
\(887\) | −25.7369 | − | 18.6990i | −0.864162 | − | 0.627851i | 0.0648520 | − | 0.997895i | \(-0.479342\pi\) |
−0.929014 | + | 0.370044i | \(0.879342\pi\) | |||||||
\(888\) | 3.72907 | − | 2.70933i | 0.125139 | − | 0.0909191i | ||||
\(889\) | 1.13816 | − | 3.50290i | 0.0381727 | − | 0.117483i | ||||
\(890\) | −1.00048 | −0.0335363 | ||||||||
\(891\) | 3.39096 | + | 5.26011i | 0.113602 | + | 0.176220i | ||||
\(892\) | −8.09748 | −0.271124 | ||||||||
\(893\) | 2.22383 | − | 6.84424i | 0.0744176 | − | 0.229034i | ||||
\(894\) | 1.08541 | − | 0.788595i | 0.0363015 | − | 0.0263746i | ||||
\(895\) | 12.0637 | + | 8.76478i | 0.403245 | + | 0.292974i | ||||
\(896\) | −0.309017 | − | 0.951057i | −0.0103235 | − | 0.0317726i | ||||
\(897\) | −2.52192 | − | 7.76169i | −0.0842046 | − | 0.259155i | ||||
\(898\) | −4.83817 | − | 3.51513i | −0.161452 | − | 0.117302i | ||||
\(899\) | 9.33579 | − | 6.78285i | 0.311366 | − | 0.226221i | ||||
\(900\) | −0.656505 | + | 2.02052i | −0.0218835 | + | 0.0673505i | ||||
\(901\) | 33.4721 | 1.11512 | ||||||||
\(902\) | −0.304851 | + | 5.46656i | −0.0101504 | + | 0.182017i | ||||
\(903\) | 7.45826 | 0.248195 | ||||||||
\(904\) | 3.62459 | − | 11.1553i | 0.120552 | − | 0.371021i | ||||
\(905\) | −3.53808 | + | 2.57056i | −0.117610 | + | 0.0854484i | ||||
\(906\) | −13.4706 | − | 9.78700i | −0.447532 | − | 0.325151i | ||||
\(907\) | 8.60487 | + | 26.4831i | 0.285720 | + | 0.879355i | 0.986182 | + | 0.165666i | \(0.0529773\pi\) |
−0.700462 | + | 0.713690i | \(0.747023\pi\) | |||||||
\(908\) | −5.82046 | − | 17.9135i | −0.193159 | − | 0.594481i | ||||
\(909\) | 5.44260 | + | 3.95428i | 0.180520 | + | 0.131155i | ||||
\(910\) | −2.03384 | + | 1.47767i | −0.0674212 | + | 0.0489844i | ||||
\(911\) | −16.9951 | + | 52.3056i | −0.563074 | + | 1.73296i | 0.110533 | + | 0.993872i | \(0.464744\pi\) |
−0.673607 | + | 0.739090i | \(0.735256\pi\) | |||||||
\(912\) | −3.79470 | −0.125655 | ||||||||
\(913\) | −1.50630 | + | 27.0109i | −0.0498514 | + | 0.893930i | ||||
\(914\) | 41.9762 | 1.38845 | ||||||||
\(915\) | −1.77880 | + | 5.47460i | −0.0588055 | + | 0.180985i | ||||
\(916\) | −8.79574 | + | 6.39048i | −0.290619 | + | 0.211147i | ||||
\(917\) | −6.93960 | − | 5.04191i | −0.229166 | − | 0.166499i | ||||
\(918\) | −6.94331 | − | 21.3693i | −0.229163 | − | 0.705292i | ||||
\(919\) | 5.22285 | + | 16.0743i | 0.172286 | + | 0.530241i | 0.999499 | − | 0.0316468i | \(-0.0100752\pi\) |
−0.827213 | + | 0.561888i | \(0.810075\pi\) | |||||||
\(920\) | −2.80685 | − | 2.03929i | −0.0925390 | − | 0.0672335i | ||||
\(921\) | 18.8278 | − | 13.6792i | 0.620396 | − | 0.450744i | ||||
\(922\) | 9.93408 | − | 30.5740i | 0.327162 | − | 1.00690i | ||||
\(923\) | −16.4394 | −0.541109 | ||||||||
\(924\) | −1.68146 | − | 2.60830i | −0.0553159 | − | 0.0858068i | ||||
\(925\) | −4.92622 | −0.161973 | ||||||||
\(926\) | 2.51733 | − | 7.74754i | 0.0827246 | − | 0.254600i | ||||
\(927\) | 25.8629 | − | 18.7905i | 0.849448 | − | 0.617160i | ||||
\(928\) | −6.03901 | − | 4.38760i | −0.198240 | − | 0.144030i | ||||
\(929\) | −5.22802 | − | 16.0902i | −0.171526 | − | 0.527902i | 0.827932 | − | 0.560829i | \(-0.189517\pi\) |
−0.999458 | + | 0.0329263i | \(0.989517\pi\) | |||||||
\(930\) | 0.446989 | + | 1.37569i | 0.0146573 | + | 0.0451107i | ||||
\(931\) | −3.28100 | − | 2.38379i | −0.107530 | − | 0.0781255i | ||||
\(932\) | 7.26205 | − | 5.27619i | 0.237876 | − | 0.172827i | ||||
\(933\) | −0.977144 | + | 3.00734i | −0.0319903 | + | 0.0984559i | ||||
\(934\) | −7.67994 | −0.251295 | ||||||||
\(935\) | 15.0256 | − | 3.97221i | 0.491389 | − | 0.129905i | ||||
\(936\) | −5.34092 | −0.174573 | ||||||||
\(937\) | −1.76425 | + | 5.42980i | −0.0576355 | + | 0.177384i | −0.975730 | − | 0.218978i | \(-0.929728\pi\) |
0.918094 | + | 0.396362i | \(0.129728\pi\) | |||||||
\(938\) | −4.84932 | + | 3.52324i | −0.158336 | + | 0.115038i | ||||
\(939\) | −15.6999 | − | 11.4067i | −0.512348 | − | 0.372242i | ||||
\(940\) | 0.548343 | + | 1.68763i | 0.0178850 | + | 0.0550443i | ||||
\(941\) | −10.5900 | − | 32.5926i | −0.345224 | − | 1.06249i | −0.961464 | − | 0.274931i | \(-0.911345\pi\) |
0.616240 | − | 0.787558i | \(-0.288655\pi\) | |||||||
\(942\) | 5.51950 | + | 4.01015i | 0.179835 | + | 0.130658i | ||||
\(943\) | 4.63352 | − | 3.36645i | 0.150888 | − | 0.109627i | ||||
\(944\) | −0.131900 | + | 0.405946i | −0.00429298 | + | 0.0132124i | ||||
\(945\) | 4.79491 | 0.155978 | ||||||||
\(946\) | −16.7058 | + | 20.4892i | −0.543152 | + | 0.666162i | ||||
\(947\) | −29.4856 | −0.958154 | −0.479077 | − | 0.877773i | \(-0.659029\pi\) | ||||
−0.479077 | + | 0.877773i | \(0.659029\pi\) | |||||||
\(948\) | 2.85146 | − | 8.77588i | 0.0926110 | − | 0.285027i | ||||
\(949\) | −1.73969 | + | 1.26396i | −0.0564728 | + | 0.0410299i | ||||
\(950\) | 3.28100 | + | 2.38379i | 0.106450 | + | 0.0773403i | ||||
\(951\) | −2.15758 | − | 6.64034i | −0.0699643 | − | 0.215328i | ||||
\(952\) | −1.44806 | − | 4.45667i | −0.0469319 | − | 0.144441i | ||||
\(953\) | 35.4702 | + | 25.7706i | 1.14899 | + | 0.834791i | 0.988346 | − | 0.152221i | \(-0.0486427\pi\) |
0.160645 | + | 0.987012i | \(0.448643\pi\) | |||||||
\(954\) | −12.2770 | + | 8.91977i | −0.397483 | + | 0.288788i | ||||
\(955\) | −3.28168 | + | 10.1000i | −0.106193 | + | 0.326827i | ||||
\(956\) | −9.78125 | −0.316348 | ||||||||
\(957\) | −21.5985 | − | 8.37400i | −0.698181 | − | 0.270693i | ||||
\(958\) | 22.7225 | 0.734131 | ||||||||
\(959\) | 0.503965 | − | 1.55104i | 0.0162739 | − | 0.0500858i | ||||
\(960\) | 0.756984 | − | 0.549981i | 0.0244315 | − | 0.0177506i | ||||
\(961\) | 23.1461 | + | 16.8166i | 0.746648 | + | 0.542472i | ||||
\(962\) | −3.82698 | − | 11.7782i | −0.123387 | − | 0.379745i | ||||
\(963\) | 9.47842 | + | 29.1716i | 0.305438 | + | 0.940041i | ||||
\(964\) | −18.9192 | − | 13.7456i | −0.609347 | − | 0.442717i | ||||
\(965\) | −6.45713 | + | 4.69138i | −0.207862 | + | 0.151021i | ||||
\(966\) | −1.00317 | + | 3.08742i | −0.0322763 | + | 0.0993363i | ||||
\(967\) | −43.1164 | −1.38653 | −0.693265 | − | 0.720683i | \(-0.743828\pi\) | ||||
−0.693265 | + | 0.720683i | \(0.743828\pi\) | |||||||
\(968\) | 10.9318 | + | 1.22306i | 0.351361 | + | 0.0393106i | ||||
\(969\) | −17.7820 | −0.571242 | ||||||||
\(970\) | −3.50235 | + | 10.7791i | −0.112454 | + | 0.346097i | ||||
\(971\) | 45.0549 | − | 32.7343i | 1.44588 | − | 1.05049i | 0.459110 | − | 0.888380i | \(-0.348169\pi\) |
0.986772 | − | 0.162115i | \(-0.0518315\pi\) | |||||||
\(972\) | 13.0659 | + | 9.49293i | 0.419089 | + | 0.304486i | ||||
\(973\) | −7.16298 | − | 22.0454i | −0.229634 | − | 0.706742i | ||||
\(974\) | −10.3353 | − | 31.8088i | −0.331165 | − | 1.01922i | ||||
\(975\) | −1.90303 | − | 1.38263i | −0.0609458 | − | 0.0442797i | ||||
\(976\) | −4.97708 | + | 3.61606i | −0.159312 | + | 0.115747i | ||||
\(977\) | −2.97750 | + | 9.16381i | −0.0952588 | + | 0.293176i | −0.987321 | − | 0.158736i | \(-0.949258\pi\) |
0.892062 | + | 0.451913i | \(0.149258\pi\) | |||||||
\(978\) | 8.80763 | 0.281637 | ||||||||
\(979\) | −3.09383 | − | 1.19951i | −0.0988793 | − | 0.0383366i | ||||
\(980\) | 1.00000 | 0.0319438 | ||||||||
\(981\) | 8.00075 | − | 24.6238i | 0.255444 | − | 0.786177i | ||||
\(982\) | 4.94302 | − | 3.59132i | 0.157738 | − | 0.114603i | ||||
\(983\) | −44.1493 | − | 32.0764i | −1.40814 | − | 1.02308i | −0.993589 | − | 0.113053i | \(-0.963937\pi\) |
−0.414556 | − | 0.910024i | \(-0.636063\pi\) | |||||||
\(984\) | 0.477314 | + | 1.46902i | 0.0152162 | + | 0.0468306i | ||||
\(985\) | −2.25156 | − | 6.92959i | −0.0717407 | − | 0.220795i | ||||
\(986\) | −28.2989 | − | 20.5604i | −0.901221 | − | 0.654776i | ||||
\(987\) | 1.34325 | − | 0.975928i | 0.0427561 | − | 0.0310641i | ||||
\(988\) | −3.15058 | + | 9.69650i | −0.100233 | + | 0.308487i | ||||
\(989\) | 27.6547 | 0.879370 | ||||||||
\(990\) | −4.45260 | + | 5.46101i | −0.141513 | + | 0.173562i | ||||
\(991\) | −50.0492 | −1.58986 | −0.794932 | − | 0.606699i | \(-0.792494\pi\) | ||||
−0.794932 | + | 0.606699i | \(0.792494\pi\) | |||||||
\(992\) | −0.477714 | + | 1.47025i | −0.0151674 | + | 0.0466805i | ||||
\(993\) | −6.25800 | + | 4.54670i | −0.198592 | + | 0.144285i | ||||
\(994\) | 5.29034 | + | 3.84366i | 0.167799 | + | 0.121913i | ||||
\(995\) | 4.38349 | + | 13.4910i | 0.138966 | + | 0.427693i | ||||
\(996\) | 2.35846 | + | 7.25858i | 0.0747306 | + | 0.229997i | ||||
\(997\) | −18.5199 | − | 13.4555i | −0.586532 | − | 0.426141i | 0.254541 | − | 0.967062i | \(-0.418076\pi\) |
−0.841073 | + | 0.540921i | \(0.818076\pi\) | |||||||
\(998\) | 17.0859 | − | 12.4136i | 0.540844 | − | 0.392946i | ||||
\(999\) | −7.29922 | + | 22.4647i | −0.230937 | + | 0.710751i |
(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 | 770.2.n.j.141.2 | yes | 12 | |
11.4 | even | 5 | 8470.2.a.cw.1.3 | 6 | |||
11.5 | even | 5 | inner | 770.2.n.j.71.2 | ✓ | 12 | |
11.7 | odd | 10 | 8470.2.a.dc.1.3 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.j.71.2 | ✓ | 12 | 11.5 | even | 5 | inner | |
770.2.n.j.141.2 | yes | 12 | 1.1 | even | 1 | trivial | |
8470.2.a.cw.1.3 | 6 | 11.4 | even | 5 | |||
8470.2.a.dc.1.3 | 6 | 11.7 | odd | 10 |