Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,2,Mod(35,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.p (of order \(6\), degree \(2\), 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: | \(1.24566627153\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 35.8 | ||
Character | \(\chi\) | \(=\) | 156.35 |
Dual form | 156.2.p.b.107.8 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.475386 | − | 1.33192i | −0.336149 | − | 0.941809i | ||||
\(3\) | −0.564863 | + | 1.63735i | −0.326124 | + | 0.945327i | ||||
\(4\) | −1.54802 | + | 1.26635i | −0.774008 | + | 0.633176i | ||||
\(5\) | − | 3.40345i | − | 1.52207i | −0.648710 | − | 0.761035i | \(-0.724691\pi\) | ||
0.648710 | − | 0.761035i | \(-0.275309\pi\) | |||||||
\(6\) | 2.44935 | − | 0.0260236i | 0.999944 | − | 0.0106241i | ||||
\(7\) | 2.05768 | − | 1.18800i | 0.777728 | − | 0.449022i | −0.0578964 | − | 0.998323i | \(-0.518439\pi\) |
0.835625 | + | 0.549301i | \(0.185106\pi\) | |||||||
\(8\) | 2.42258 | + | 1.45983i | 0.856512 | + | 0.516126i | ||||
\(9\) | −2.36186 | − | 1.84976i | −0.787286 | − | 0.616588i | ||||
\(10\) | −4.53312 | + | 1.61795i | −1.43350 | + | 0.511642i | ||||
\(11\) | 1.63272 | − | 2.82796i | 0.492284 | − | 0.852661i | −0.507676 | − | 0.861548i | \(-0.669495\pi\) |
0.999961 | + | 0.00888660i | \(0.00282873\pi\) | |||||||
\(12\) | −1.19905 | − | 3.24997i | −0.346136 | − | 0.938184i | ||||
\(13\) | 2.06220 | − | 2.95759i | 0.571950 | − | 0.820288i | ||||
\(14\) | −2.56051 | − | 2.17590i | −0.684325 | − | 0.581533i | ||||
\(15\) | 5.57266 | + | 1.92249i | 1.43885 | + | 0.496384i | ||||
\(16\) | 0.792707 | − | 3.92067i | 0.198177 | − | 0.980166i | ||||
\(17\) | −0.380349 | + | 0.219594i | −0.0922481 | + | 0.0532595i | −0.545414 | − | 0.838167i | \(-0.683628\pi\) |
0.453166 | + | 0.891426i | \(0.350294\pi\) | |||||||
\(18\) | −1.34094 | + | 4.02516i | −0.316062 | + | 0.948738i | ||||
\(19\) | −2.98978 | + | 1.72615i | −0.685902 | + | 0.396006i | −0.802075 | − | 0.597223i | \(-0.796271\pi\) |
0.116173 | + | 0.993229i | \(0.462937\pi\) | |||||||
\(20\) | 4.30997 | + | 5.26860i | 0.963738 | + | 1.17810i | ||||
\(21\) | 0.782871 | + | 4.04020i | 0.170836 | + | 0.881644i | ||||
\(22\) | −4.54278 | − | 0.830282i | −0.968525 | − | 0.177017i | ||||
\(23\) | −3.46429 | + | 6.00032i | −0.722354 | + | 1.25115i | 0.237700 | + | 0.971339i | \(0.423606\pi\) |
−0.960054 | + | 0.279815i | \(0.909727\pi\) | |||||||
\(24\) | −3.75868 | + | 3.14203i | −0.767237 | + | 0.641363i | ||||
\(25\) | −6.58350 | −1.31670 | ||||||||
\(26\) | −4.91961 | − | 1.34068i | −0.964815 | − | 0.262929i | ||||
\(27\) | 4.36284 | − | 2.82234i | 0.839630 | − | 0.543159i | ||||
\(28\) | −1.68089 | + | 4.44478i | −0.317658 | + | 0.839985i | ||||
\(29\) | 7.57617 | + | 4.37410i | 1.40686 | + | 0.812250i | 0.995084 | − | 0.0990350i | \(-0.0315756\pi\) |
0.411775 | + | 0.911285i | \(0.364909\pi\) | |||||||
\(30\) | −0.0885701 | − | 8.33625i | −0.0161706 | − | 1.52198i | ||||
\(31\) | 0.323641i | 0.0581276i | 0.999578 | + | 0.0290638i | \(0.00925259\pi\) | ||||
−0.999578 | + | 0.0290638i | \(0.990747\pi\) | |||||||
\(32\) | −5.59885 | + | 0.808008i | −0.989746 | + | 0.142837i | ||||
\(33\) | 3.70810 | + | 4.27075i | 0.645498 | + | 0.743443i | ||||
\(34\) | 0.473295 | + | 0.402202i | 0.0811693 | + | 0.0689770i | ||||
\(35\) | −4.04330 | − | 7.00320i | −0.683443 | − | 1.18376i | ||||
\(36\) | 5.99865 | − | 0.127482i | 0.999774 | − | 0.0212470i | ||||
\(37\) | 1.58418 | − | 2.74389i | 0.260438 | − | 0.451092i | −0.705920 | − | 0.708291i | \(-0.749466\pi\) |
0.966358 | + | 0.257199i | \(0.0827997\pi\) | |||||||
\(38\) | 3.72039 | + | 3.16155i | 0.603527 | + | 0.512872i | ||||
\(39\) | 3.67777 | + | 5.04718i | 0.588914 | + | 0.808196i | ||||
\(40\) | 4.96845 | − | 8.24515i | 0.785581 | − | 1.30367i | ||||
\(41\) | 1.42562 | + | 0.823079i | 0.222644 | + | 0.128543i | 0.607174 | − | 0.794569i | \(-0.292303\pi\) |
−0.384530 | + | 0.923112i | \(0.625637\pi\) | |||||||
\(42\) | 5.00905 | − | 2.96338i | 0.772914 | − | 0.457259i | ||||
\(43\) | −0.845293 | + | 0.488030i | −0.128906 | + | 0.0744239i | −0.563066 | − | 0.826412i | \(-0.690378\pi\) |
0.434160 | + | 0.900836i | \(0.357045\pi\) | |||||||
\(44\) | 1.05371 | + | 6.44532i | 0.158853 | + | 0.971669i | ||||
\(45\) | −6.29558 | + | 8.03848i | −0.938490 | + | 1.19831i | ||||
\(46\) | 9.63882 | + | 1.76168i | 1.42117 | + | 0.259746i | ||||
\(47\) | −2.05940 | −0.300394 | −0.150197 | − | 0.988656i | \(-0.547991\pi\) | ||||
−0.150197 | + | 0.988656i | \(0.547991\pi\) | |||||||
\(48\) | 5.97175 | + | 3.51258i | 0.861947 | + | 0.506998i | ||||
\(49\) | −0.677315 | + | 1.17314i | −0.0967593 | + | 0.167592i | ||||
\(50\) | 3.12970 | + | 8.76869i | 0.442607 | + | 1.24008i | ||||
\(51\) | −0.144709 | − | 0.746807i | −0.0202633 | − | 0.104574i | ||||
\(52\) | 0.553036 | + | 7.18986i | 0.0766923 | + | 0.997055i | ||||
\(53\) | − | 5.71107i | − | 0.784476i | −0.919864 | − | 0.392238i | \(-0.871701\pi\) | ||
0.919864 | − | 0.392238i | \(-0.128299\pi\) | |||||||
\(54\) | −5.83316 | − | 4.46925i | −0.793793 | − | 0.608189i | ||||
\(55\) | −9.62482 | − | 5.55689i | −1.29781 | − | 0.749291i | ||||
\(56\) | 6.71916 | + | 0.125821i | 0.897886 | + | 0.0168135i | ||||
\(57\) | −1.13750 | − | 5.87036i | −0.150666 | − | 0.777548i | ||||
\(58\) | 2.22434 | − | 12.1702i | 0.292071 | − | 1.59803i | ||||
\(59\) | −2.43459 | − | 4.21683i | −0.316956 | − | 0.548984i | 0.662895 | − | 0.748712i | \(-0.269328\pi\) |
−0.979851 | + | 0.199728i | \(0.935994\pi\) | |||||||
\(60\) | −11.0611 | + | 4.08091i | −1.42798 | + | 0.526843i | ||||
\(61\) | 6.60487 | + | 11.4400i | 0.845667 | + | 1.46474i | 0.885041 | + | 0.465514i | \(0.154130\pi\) |
−0.0393736 | + | 0.999225i | \(0.512536\pi\) | |||||||
\(62\) | 0.431063 | − | 0.153854i | 0.0547451 | − | 0.0195395i | ||||
\(63\) | −7.05746 | − | 1.00032i | −0.889156 | − | 0.126029i | ||||
\(64\) | 3.73782 | + | 7.07310i | 0.467227 | + | 0.884137i | ||||
\(65\) | −10.0660 | − | 7.01859i | −1.24854 | − | 0.870549i | ||||
\(66\) | 3.92552 | − | 6.96915i | 0.483198 | − | 0.857843i | ||||
\(67\) | 3.51711 | + | 2.03060i | 0.429683 | + | 0.248077i | 0.699211 | − | 0.714915i | \(-0.253535\pi\) |
−0.269529 | + | 0.962992i | \(0.586868\pi\) | |||||||
\(68\) | 0.310702 | − | 0.821591i | 0.0376782 | − | 0.0996325i | ||||
\(69\) | −7.86780 | − | 9.06163i | −0.947172 | − | 1.09089i | ||||
\(70\) | −7.40557 | + | 8.71457i | −0.885135 | + | 1.04159i | ||||
\(71\) | −0.174835 | − | 0.302822i | −0.0207490 | − | 0.0359384i | 0.855464 | − | 0.517862i | \(-0.173272\pi\) |
−0.876213 | + | 0.481923i | \(0.839938\pi\) | |||||||
\(72\) | −3.02147 | − | 7.92911i | −0.356083 | − | 0.934454i | ||||
\(73\) | −5.87640 | −0.687781 | −0.343890 | − | 0.939010i | \(-0.611745\pi\) | ||||
−0.343890 | + | 0.939010i | \(0.611745\pi\) | |||||||
\(74\) | −4.40773 | − | 0.805598i | −0.512389 | − | 0.0936489i | ||||
\(75\) | 3.71878 | − | 10.7795i | 0.429407 | − | 1.24471i | ||||
\(76\) | 2.44231 | − | 6.45821i | 0.280152 | − | 0.740808i | ||||
\(77\) | − | 7.75869i | − | 0.884185i | ||||||
\(78\) | 4.97408 | − | 7.29785i | 0.563203 | − | 0.826318i | ||||
\(79\) | 13.0762i | 1.47119i | 0.677423 | + | 0.735594i | \(0.263097\pi\) | ||||
−0.677423 | + | 0.735594i | \(0.736903\pi\) | |||||||
\(80\) | −13.3438 | − | 2.69794i | −1.49188 | − | 0.301639i | ||||
\(81\) | 2.15676 | + | 8.73776i | 0.239640 | + | 0.970862i | ||||
\(82\) | 0.418557 | − | 2.29008i | 0.0462219 | − | 0.252898i | ||||
\(83\) | 1.55571 | 0.170762 | 0.0853809 | − | 0.996348i | \(-0.472789\pi\) | ||||
0.0853809 | + | 0.996348i | \(0.472789\pi\) | |||||||
\(84\) | −6.32821 | − | 5.26291i | −0.690464 | − | 0.574230i | ||||
\(85\) | 0.747380 | + | 1.29450i | 0.0810647 | + | 0.140408i | ||||
\(86\) | 1.05186 | + | 0.893859i | 0.113425 | + | 0.0963873i | ||||
\(87\) | −11.4415 | + | 9.93410i | −1.22665 | + | 1.06505i | ||||
\(88\) | 8.08373 | − | 4.46747i | 0.861729 | − | 0.476234i | ||||
\(89\) | 10.7309 | + | 6.19551i | 1.13748 | + | 0.656723i | 0.945805 | − | 0.324736i | \(-0.105275\pi\) |
0.191673 | + | 0.981459i | \(0.438609\pi\) | |||||||
\(90\) | 13.6994 | + | 4.56382i | 1.44405 | + | 0.481069i | ||||
\(91\) | 0.729715 | − | 8.53565i | 0.0764949 | − | 0.894779i | ||||
\(92\) | −2.23574 | − | 13.6756i | −0.233092 | − | 1.42578i | ||||
\(93\) | −0.529914 | − | 0.182813i | −0.0549496 | − | 0.0189568i | ||||
\(94\) | 0.979010 | + | 2.74295i | 0.100977 | + | 0.282914i | ||||
\(95\) | 5.87487 | + | 10.1756i | 0.602749 | + | 1.04399i | ||||
\(96\) | 1.83959 | − | 9.62372i | 0.187752 | − | 0.982216i | ||||
\(97\) | 0.991051 | + | 1.71655i | 0.100626 | + | 0.174289i | 0.911943 | − | 0.410317i | \(-0.134582\pi\) |
−0.811317 | + | 0.584607i | \(0.801249\pi\) | |||||||
\(98\) | 1.88452 | + | 0.344432i | 0.190365 | + | 0.0347929i | ||||
\(99\) | −9.08731 | + | 3.65909i | −0.913309 | + | 0.367752i | ||||
\(100\) | 10.1914 | − | 8.33702i | 1.01914 | − | 0.833702i | ||||
\(101\) | 0.317245 | + | 0.183162i | 0.0315671 | + | 0.0182253i | 0.515701 | − | 0.856769i | \(-0.327532\pi\) |
−0.484133 | + | 0.874994i | \(0.660865\pi\) | |||||||
\(102\) | −0.925893 | + | 0.547762i | −0.0916771 | + | 0.0542365i | ||||
\(103\) | − | 17.6947i | − | 1.74351i | −0.489938 | − | 0.871757i | \(-0.662981\pi\) | ||
0.489938 | − | 0.871757i | \(-0.337019\pi\) | |||||||
\(104\) | 9.31341 | − | 4.15456i | 0.913255 | − | 0.407388i | ||||
\(105\) | 13.7506 | − | 2.66447i | 1.34192 | − | 0.260025i | ||||
\(106\) | −7.60669 | + | 2.71497i | −0.738827 | + | 0.263701i | ||||
\(107\) | 3.78720 | − | 6.55962i | 0.366122 | − | 0.634143i | −0.622833 | − | 0.782355i | \(-0.714018\pi\) |
0.988956 | + | 0.148212i | \(0.0473518\pi\) | |||||||
\(108\) | −3.17968 | + | 9.89392i | −0.305965 | + | 0.952043i | ||||
\(109\) | 1.23103 | 0.117911 | 0.0589557 | − | 0.998261i | \(-0.481223\pi\) | ||||
0.0589557 | + | 0.998261i | \(0.481223\pi\) | |||||||
\(110\) | −2.82583 | + | 15.4612i | −0.269432 | + | 1.47416i | ||||
\(111\) | 3.59787 | + | 4.14379i | 0.341494 | + | 0.393311i | ||||
\(112\) | −3.02661 | − | 9.00919i | −0.285988 | − | 0.851289i | ||||
\(113\) | −9.45501 | + | 5.45885i | −0.889453 | + | 0.513526i | −0.873763 | − | 0.486351i | \(-0.838328\pi\) |
−0.0156893 | + | 0.999877i | \(0.504994\pi\) | |||||||
\(114\) | −7.27809 | + | 4.30575i | −0.681656 | + | 0.403270i | ||||
\(115\) | 20.4218 | + | 11.7905i | 1.90434 | + | 1.09947i | ||||
\(116\) | −17.2672 | + | 2.82291i | −1.60322 | + | 0.262101i | ||||
\(117\) | −10.3415 | + | 3.17084i | −0.956068 | + | 0.293144i | ||||
\(118\) | −4.45911 | + | 5.24729i | −0.410494 | + | 0.483053i | ||||
\(119\) | −0.521756 | + | 0.903708i | −0.0478293 | + | 0.0828428i | ||||
\(120\) | 10.6937 | + | 12.7925i | 0.976200 | + | 1.16779i | ||||
\(121\) | 0.168437 | + | 0.291741i | 0.0153125 | + | 0.0265220i | ||||
\(122\) | 12.0973 | − | 14.2356i | 1.09523 | − | 1.28883i | ||||
\(123\) | −2.15295 | + | 1.86931i | −0.194125 | + | 0.168550i | ||||
\(124\) | −0.409843 | − | 0.501001i | −0.0368050 | − | 0.0449912i | ||||
\(125\) | 5.38936i | 0.482039i | ||||||||
\(126\) | 2.02267 | + | 9.87550i | 0.180193 | + | 0.879779i | ||||
\(127\) | 4.03746 | + | 2.33103i | 0.358266 | + | 0.206845i | 0.668320 | − | 0.743874i | \(-0.267014\pi\) |
−0.310054 | + | 0.950719i | \(0.600347\pi\) | |||||||
\(128\) | 7.64389 | − | 8.34092i | 0.675631 | − | 0.737240i | ||||
\(129\) | −0.321603 | − | 1.65971i | −0.0283156 | − | 0.146130i | ||||
\(130\) | −4.56295 | + | 16.7437i | −0.400197 | + | 1.46852i | ||||
\(131\) | 6.68043 | 0.583672 | 0.291836 | − | 0.956468i | \(-0.405734\pi\) | ||||
0.291836 | + | 0.956468i | \(0.405734\pi\) | |||||||
\(132\) | −11.1485 | − | 1.91543i | −0.970351 | − | 0.166717i | ||||
\(133\) | −4.10133 | + | 7.10370i | −0.355630 | + | 0.615969i | ||||
\(134\) | 1.03261 | − | 5.64982i | 0.0892042 | − | 0.488070i | ||||
\(135\) | −9.60570 | − | 14.8487i | −0.826727 | − | 1.27798i | ||||
\(136\) | −1.24200 | − | 0.0232572i | −0.106500 | − | 0.00199429i | ||||
\(137\) | 8.20245 | − | 4.73569i | 0.700783 | − | 0.404597i | −0.106856 | − | 0.994274i | \(-0.534078\pi\) |
0.807639 | + | 0.589677i | \(0.200745\pi\) | |||||||
\(138\) | −8.32911 | + | 14.7870i | −0.709021 | + | 1.25876i | ||||
\(139\) | 10.9252 | − | 6.30764i | 0.926660 | − | 0.535007i | 0.0409063 | − | 0.999163i | \(-0.486975\pi\) |
0.885754 | + | 0.464156i | \(0.153642\pi\) | |||||||
\(140\) | 15.1276 | + | 5.72083i | 1.27852 | + | 0.483498i | ||||
\(141\) | 1.16328 | − | 3.37197i | 0.0979658 | − | 0.283971i | ||||
\(142\) | −0.320221 | + | 0.376823i | −0.0268723 | + | 0.0316223i | ||||
\(143\) | −4.99695 | − | 10.6607i | −0.417866 | − | 0.891495i | ||||
\(144\) | −9.12456 | + | 7.79374i | −0.760380 | + | 0.649478i | ||||
\(145\) | 14.8871 | − | 25.7851i | 1.23630 | − | 2.14134i | ||||
\(146\) | 2.79356 | + | 7.82689i | 0.231197 | + | 0.647758i | ||||
\(147\) | −1.53826 | − | 1.77167i | −0.126874 | − | 0.146125i | ||||
\(148\) | 1.02238 | + | 6.25371i | 0.0840394 | + | 0.514052i | ||||
\(149\) | −11.1392 | + | 6.43120i | −0.912556 | + | 0.526864i | −0.881253 | − | 0.472646i | \(-0.843299\pi\) |
−0.0313031 | + | 0.999510i | \(0.509966\pi\) | |||||||
\(150\) | −16.1253 | + | 0.171326i | −1.31663 | + | 0.0139887i | ||||
\(151\) | 9.19065i | 0.747924i | 0.927444 | + | 0.373962i | \(0.122001\pi\) | ||||
−0.927444 | + | 0.373962i | \(0.877999\pi\) | |||||||
\(152\) | −9.76286 | − | 0.182816i | −0.791872 | − | 0.0148283i | ||||
\(153\) | 1.30453 | + | 0.184904i | 0.105465 | + | 0.0149486i | ||||
\(154\) | −10.3339 | + | 3.68837i | −0.832733 | + | 0.297218i | ||||
\(155\) | 1.10150 | 0.0884743 | ||||||||
\(156\) | −12.0847 | − | 3.15577i | −0.967554 | − | 0.252664i | ||||
\(157\) | −5.71635 | −0.456215 | −0.228107 | − | 0.973636i | \(-0.573254\pi\) | ||||
−0.228107 | + | 0.973636i | \(0.573254\pi\) | |||||||
\(158\) | 17.4164 | − | 6.21624i | 1.38558 | − | 0.494538i | ||||
\(159\) | 9.35105 | + | 3.22598i | 0.741587 | + | 0.255837i | ||||
\(160\) | 2.75002 | + | 19.0554i | 0.217408 | + | 1.50646i | ||||
\(161\) | 16.4623i | 1.29741i | ||||||||
\(162\) | 10.6127 | − | 7.02643i | 0.833812 | − | 0.552049i | ||||
\(163\) | −12.9200 | + | 7.45935i | −1.01197 | + | 0.584262i | −0.911768 | − | 0.410706i | \(-0.865282\pi\) |
−0.100203 | + | 0.994967i | \(0.531949\pi\) | |||||||
\(164\) | −3.24918 | + | 0.531190i | −0.253719 | + | 0.0414790i | ||||
\(165\) | 14.5353 | − | 12.6204i | 1.13157 | − | 0.982494i | ||||
\(166\) | −0.739564 | − | 2.07208i | −0.0574013 | − | 0.160825i | ||||
\(167\) | −8.66562 | + | 15.0093i | −0.670565 | + | 1.16145i | 0.307179 | + | 0.951652i | \(0.400615\pi\) |
−0.977744 | + | 0.209802i | \(0.932718\pi\) | |||||||
\(168\) | −4.00142 | + | 10.9306i | −0.308716 | + | 0.843312i | ||||
\(169\) | −4.49469 | − | 12.1983i | −0.345745 | − | 0.938328i | ||||
\(170\) | 1.36887 | − | 1.61084i | 0.104988 | − | 0.123545i | ||||
\(171\) | 10.2544 | + | 1.45346i | 0.784173 | + | 0.111149i | ||||
\(172\) | 0.690509 | − | 1.82592i | 0.0526508 | − | 0.139225i | ||||
\(173\) | 8.80380 | − | 5.08287i | 0.669340 | − | 0.386444i | −0.126486 | − | 0.991968i | \(-0.540370\pi\) |
0.795827 | + | 0.605525i | \(0.207037\pi\) | |||||||
\(174\) | 18.6705 | + | 10.5166i | 1.41541 | + | 0.797258i | ||||
\(175\) | −13.5467 | + | 7.82119i | −1.02403 | + | 0.591227i | ||||
\(176\) | −9.79320 | − | 8.64310i | −0.738191 | − | 0.651498i | ||||
\(177\) | 8.27965 | − | 1.60435i | 0.622337 | − | 0.120590i | ||||
\(178\) | 3.15058 | − | 17.2380i | 0.236146 | − | 1.29204i | ||||
\(179\) | −5.04401 | + | 8.73648i | −0.377007 | + | 0.652995i | −0.990625 | − | 0.136608i | \(-0.956380\pi\) |
0.613618 | + | 0.789603i | \(0.289713\pi\) | |||||||
\(180\) | −0.433878 | − | 20.4161i | −0.0323394 | − | 1.52173i | ||||
\(181\) | −10.2537 | −0.762153 | −0.381076 | − | 0.924544i | \(-0.624446\pi\) | ||||
−0.381076 | + | 0.924544i | \(0.624446\pi\) | |||||||
\(182\) | −11.7157 | + | 3.08581i | −0.868425 | + | 0.228735i | ||||
\(183\) | −22.4621 | + | 4.35250i | −1.66045 | + | 0.321746i | ||||
\(184\) | −17.1519 | + | 9.47902i | −1.26446 | + | 0.698803i | ||||
\(185\) | −9.33869 | − | 5.39170i | −0.686594 | − | 0.396405i | ||||
\(186\) | 0.00842229 | + | 0.792710i | 0.000617552 | + | 0.0581243i | ||||
\(187\) | 1.43415i | 0.104875i | ||||||||
\(188\) | 3.18798 | − | 2.60792i | 0.232508 | − | 0.190202i | ||||
\(189\) | 5.62438 | − | 10.9905i | 0.409114 | − | 0.799442i | ||||
\(190\) | 10.7602 | − | 12.6622i | 0.780627 | − | 0.918610i | ||||
\(191\) | 10.4501 | + | 18.1001i | 0.756144 | + | 1.30968i | 0.944804 | + | 0.327637i | \(0.106252\pi\) |
−0.188659 | + | 0.982043i | \(0.560414\pi\) | |||||||
\(192\) | −13.6925 | + | 2.12480i | −0.988173 | + | 0.153344i | ||||
\(193\) | −7.06574 | + | 12.2382i | −0.508603 | + | 0.880927i | 0.491347 | + | 0.870964i | \(0.336505\pi\) |
−0.999950 | + | 0.00996281i | \(0.996829\pi\) | |||||||
\(194\) | 1.81518 | − | 2.13602i | 0.130322 | − | 0.153358i | ||||
\(195\) | 17.1778 | − | 12.5171i | 1.23013 | − | 0.896369i | ||||
\(196\) | −0.437118 | − | 2.67377i | −0.0312227 | − | 0.190983i | ||||
\(197\) | −4.34412 | − | 2.50808i | −0.309506 | − | 0.178693i | 0.337199 | − | 0.941433i | \(-0.390520\pi\) |
−0.646705 | + | 0.762740i | \(0.723854\pi\) | |||||||
\(198\) | 9.19359 | + | 10.3641i | 0.653360 | + | 0.736543i | ||||
\(199\) | 21.3324 | − | 12.3163i | 1.51221 | − | 0.873078i | 0.512317 | − | 0.858796i | \(-0.328787\pi\) |
0.999898 | − | 0.0142813i | \(-0.00454603\pi\) | |||||||
\(200\) | −15.9491 | − | 9.61076i | −1.12777 | − | 0.679583i | ||||
\(201\) | −5.31150 | + | 4.61174i | −0.374644 | + | 0.325287i | ||||
\(202\) | 0.0931425 | − | 0.509618i | 0.00655348 | − | 0.0358566i | ||||
\(203\) | 20.7857 | 1.45887 | ||||||||
\(204\) | 1.16973 | + | 0.972816i | 0.0818976 | + | 0.0681108i | ||||
\(205\) | 2.80131 | − | 4.85202i | 0.195652 | − | 0.338879i | ||||
\(206\) | −23.5680 | + | 8.41183i | −1.64206 | + | 0.586080i | ||||
\(207\) | 19.2813 | − | 7.76381i | 1.34014 | − | 0.539622i | ||||
\(208\) | −9.96101 | − | 10.4297i | −0.690671 | − | 0.723169i | ||||
\(209\) | 11.2733i | 0.779789i | ||||||||
\(210\) | −10.0857 | − | 17.0481i | −0.695980 | − | 1.17643i | ||||
\(211\) | −21.7380 | − | 12.5505i | −1.49651 | − | 0.864010i | −0.496517 | − | 0.868027i | \(-0.665388\pi\) |
−0.999992 | + | 0.00401730i | \(0.998721\pi\) | |||||||
\(212\) | 7.23223 | + | 8.84084i | 0.496712 | + | 0.607191i | ||||
\(213\) | 0.594585 | − | 0.115213i | 0.0407403 | − | 0.00789426i | ||||
\(214\) | −10.5373 | − | 1.92589i | −0.720313 | − | 0.131651i | ||||
\(215\) | 1.66099 | + | 2.87692i | 0.113278 | + | 0.196204i | ||||
\(216\) | 14.6895 | − | 0.468354i | 0.999492 | − | 0.0318675i | ||||
\(217\) | 0.384485 | + | 0.665947i | 0.0261005 | + | 0.0452074i | ||||
\(218\) | −0.585215 | − | 1.63963i | −0.0396357 | − | 0.111050i | ||||
\(219\) | 3.31936 | − | 9.62175i | 0.224302 | − | 0.650178i | ||||
\(220\) | 21.9364 | − | 3.58625i | 1.47895 | − | 0.241785i | ||||
\(221\) | −0.134883 | + | 1.57776i | −0.00907324 | + | 0.106132i | ||||
\(222\) | 3.80882 | − | 6.76197i | 0.255631 | − | 0.453834i | ||||
\(223\) | 2.87420 | + | 1.65942i | 0.192471 | + | 0.111123i | 0.593139 | − | 0.805100i | \(-0.297889\pi\) |
−0.400668 | + | 0.916223i | \(0.631222\pi\) | |||||||
\(224\) | −10.5607 | + | 8.31405i | −0.705617 | + | 0.555506i | ||||
\(225\) | 15.5493 | + | 12.1779i | 1.03662 | + | 0.811861i | ||||
\(226\) | 11.7655 | + | 9.99825i | 0.782632 | + | 0.665073i | ||||
\(227\) | −9.53374 | − | 16.5129i | −0.632776 | − | 1.09600i | −0.986982 | − | 0.160833i | \(-0.948582\pi\) |
0.354205 | − | 0.935168i | \(-0.384751\pi\) | |||||||
\(228\) | 9.19481 | + | 7.64694i | 0.608941 | + | 0.506431i | ||||
\(229\) | 26.8999 | 1.77759 | 0.888797 | − | 0.458301i | \(-0.151542\pi\) | ||||
0.888797 | + | 0.458301i | \(0.151542\pi\) | |||||||
\(230\) | 5.99580 | − | 32.8053i | 0.395351 | − | 2.16312i | ||||
\(231\) | 12.7037 | + | 4.38260i | 0.835844 | + | 0.288354i | ||||
\(232\) | 11.9685 | + | 21.6565i | 0.785768 | + | 1.42182i | ||||
\(233\) | − | 0.796033i | − | 0.0521499i | −0.999660 | − | 0.0260749i | \(-0.991699\pi\) | ||
0.999660 | − | 0.0260749i | \(-0.00830085\pi\) | |||||||
\(234\) | 9.13949 | + | 12.2666i | 0.597467 | + | 0.801894i | ||||
\(235\) | 7.00907i | 0.457222i | ||||||||
\(236\) | 9.10877 | + | 3.44468i | 0.592930 | + | 0.224229i | ||||
\(237\) | −21.4104 | − | 7.38627i | −1.39075 | − | 0.479789i | ||||
\(238\) | 1.45170 | + | 0.265327i | 0.0940998 | + | 0.0171986i | ||||
\(239\) | 7.71543 | 0.499070 | 0.249535 | − | 0.968366i | \(-0.419722\pi\) | ||||
0.249535 | + | 0.968366i | \(0.419722\pi\) | |||||||
\(240\) | 11.9549 | − | 20.3246i | 0.771686 | − | 1.31195i | ||||
\(241\) | −5.43397 | − | 9.41191i | −0.350033 | − | 0.606275i | 0.636222 | − | 0.771506i | \(-0.280496\pi\) |
−0.986255 | + | 0.165231i | \(0.947163\pi\) | |||||||
\(242\) | 0.308503 | − | 0.363034i | 0.0198313 | − | 0.0233367i | ||||
\(243\) | −15.5251 | − | 1.40426i | −0.995934 | − | 0.0900835i | ||||
\(244\) | −24.7115 | − | 9.34517i | −1.58199 | − | 0.598263i | ||||
\(245\) | 3.99274 | + | 2.30521i | 0.255087 | + | 0.147275i | ||||
\(246\) | 3.51325 | + | 1.97891i | 0.223997 | + | 0.126171i | ||||
\(247\) | −1.06027 | + | 12.4022i | −0.0674632 | + | 0.789133i | ||||
\(248\) | −0.472459 | + | 0.784046i | −0.0300012 | + | 0.0497870i | ||||
\(249\) | −0.878765 | + | 2.54725i | −0.0556895 | + | 0.161426i | ||||
\(250\) | 7.17820 | − | 2.56203i | 0.453989 | − | 0.162037i | ||||
\(251\) | −9.04025 | − | 15.6582i | −0.570615 | − | 0.988335i | −0.996503 | − | 0.0835588i | \(-0.973371\pi\) |
0.425887 | − | 0.904776i | \(-0.359962\pi\) | |||||||
\(252\) | 12.1918 | − | 7.38870i | 0.768012 | − | 0.465445i | ||||
\(253\) | 11.3124 | + | 19.5937i | 0.711207 | + | 1.23185i | ||||
\(254\) | 1.18539 | − | 6.48570i | 0.0743778 | − | 0.406949i | ||||
\(255\) | −2.54172 | + | 0.492510i | −0.159169 | + | 0.0308422i | ||||
\(256\) | −14.7432 | − | 6.21588i | −0.921452 | − | 0.388493i | ||||
\(257\) | −13.8627 | − | 8.00364i | −0.864732 | − | 0.499253i | 0.000862203 | − | 1.00000i | \(-0.499726\pi\) |
−0.865594 | + | 0.500747i | \(0.833059\pi\) | |||||||
\(258\) | −2.05772 | + | 1.21735i | −0.128108 | + | 0.0757892i | ||||
\(259\) | − | 7.52803i | − | 0.467769i | ||||||
\(260\) | 24.4704 | − | 1.88223i | 1.51759 | − | 0.116731i | ||||
\(261\) | −9.80279 | − | 24.3451i | −0.606777 | − | 1.50693i | ||||
\(262\) | −3.17579 | − | 8.89780i | −0.196201 | − | 0.549708i | ||||
\(263\) | 6.27681 | − | 10.8718i | 0.387045 | − | 0.670381i | −0.605006 | − | 0.796221i | \(-0.706829\pi\) |
0.992051 | + | 0.125840i | \(0.0401626\pi\) | |||||||
\(264\) | 2.74863 | + | 15.7594i | 0.169167 | + | 0.969927i | ||||
\(265\) | −19.4374 | −1.19403 | ||||||||
\(266\) | 11.4113 | + | 2.08563i | 0.699670 | + | 0.127878i | ||||
\(267\) | −16.2058 | + | 14.0707i | −0.991777 | + | 0.861115i | ||||
\(268\) | −8.01599 | + | 1.31049i | −0.489655 | + | 0.0800508i | ||||
\(269\) | −14.9461 | + | 8.62916i | −0.911282 | + | 0.526129i | −0.880843 | − | 0.473408i | \(-0.843024\pi\) |
−0.0304388 | + | 0.999537i | \(0.509690\pi\) | |||||||
\(270\) | −15.2109 | + | 19.8529i | −0.925706 | + | 1.20821i | ||||
\(271\) | −13.6221 | − | 7.86470i | −0.827482 | − | 0.477747i | 0.0255080 | − | 0.999675i | \(-0.491880\pi\) |
−0.852990 | + | 0.521928i | \(0.825213\pi\) | |||||||
\(272\) | 0.559451 | + | 1.66529i | 0.0339217 | + | 0.100973i | ||||
\(273\) | 13.5637 | + | 6.01628i | 0.820912 | + | 0.364122i | ||||
\(274\) | −10.2069 | − | 8.67372i | −0.616620 | − | 0.523998i | ||||
\(275\) | −10.7490 | + | 18.6179i | −0.648191 | + | 1.12270i | ||||
\(276\) | 23.6547 | + | 4.06414i | 1.42385 | + | 0.244632i | ||||
\(277\) | −0.265729 | − | 0.460255i | −0.0159661 | − | 0.0276541i | 0.857932 | − | 0.513763i | \(-0.171749\pi\) |
−0.873898 | + | 0.486109i | \(0.838416\pi\) | |||||||
\(278\) | −13.5949 | − | 11.5529i | −0.815370 | − | 0.692895i | ||||
\(279\) | 0.598658 | − | 0.764394i | 0.0358407 | − | 0.0457630i | ||||
\(280\) | 0.428225 | − | 22.8684i | 0.0255913 | − | 1.36665i | ||||
\(281\) | 1.81900i | 0.108512i | 0.998527 | + | 0.0542562i | \(0.0172788\pi\) | ||||
−0.998527 | + | 0.0542562i | \(0.982721\pi\) | |||||||
\(282\) | −5.04419 | + | 0.0535930i | −0.300377 | + | 0.00319141i | ||||
\(283\) | −22.5951 | − | 13.0453i | −1.34314 | − | 0.775461i | −0.355871 | − | 0.934535i | \(-0.615816\pi\) |
−0.987267 | + | 0.159074i | \(0.949149\pi\) | |||||||
\(284\) | 0.654126 | + | 0.247372i | 0.0388152 | + | 0.0146788i | ||||
\(285\) | −19.9795 | + | 3.87143i | −1.18348 | + | 0.229324i | ||||
\(286\) | −11.8237 | + | 11.7235i | −0.699153 | + | 0.693225i | ||||
\(287\) | 3.91127 | 0.230875 | ||||||||
\(288\) | 14.7183 | + | 8.44814i | 0.867285 | + | 0.497812i | ||||
\(289\) | −8.40356 | + | 14.5554i | −0.494327 | + | 0.856199i | ||||
\(290\) | −41.4208 | − | 7.57046i | −2.43231 | − | 0.444552i | ||||
\(291\) | −3.37041 | + | 0.653086i | −0.197577 | + | 0.0382846i | ||||
\(292\) | 9.09676 | − | 7.44159i | 0.532348 | − | 0.435486i | ||||
\(293\) | −13.3597 | + | 7.71324i | −0.780483 | + | 0.450612i | −0.836601 | − | 0.547812i | \(-0.815461\pi\) |
0.0561184 | + | 0.998424i | \(0.482128\pi\) | |||||||
\(294\) | −1.62845 | + | 2.89107i | −0.0949734 | + | 0.168611i | ||||
\(295\) | −14.3518 | + | 8.28601i | −0.835593 | + | 0.482430i | ||||
\(296\) | 7.84341 | − | 4.33466i | 0.455889 | − | 0.251947i | ||||
\(297\) | −0.858139 | − | 16.9460i | −0.0497943 | − | 0.983309i | ||||
\(298\) | 13.8612 | + | 11.7792i | 0.802960 | + | 0.682348i | ||||
\(299\) | 10.6025 | + | 22.6198i | 0.613156 | + | 1.30814i | ||||
\(300\) | 7.89394 | + | 21.3961i | 0.455757 | + | 1.23531i | ||||
\(301\) | −1.15956 | + | 2.00841i | −0.0668358 | + | 0.115763i | ||||
\(302\) | 12.2412 | − | 4.36911i | 0.704402 | − | 0.251414i | ||||
\(303\) | −0.479101 | + | 0.415982i | −0.0275236 | + | 0.0238975i | ||||
\(304\) | 4.39763 | + | 13.0902i | 0.252221 | + | 0.750777i | ||||
\(305\) | 38.9354 | − | 22.4794i | 2.22944 | − | 1.28717i | ||||
\(306\) | −0.373878 | − | 1.82543i | −0.0213732 | − | 0.104353i | ||||
\(307\) | − | 18.4001i | − | 1.05015i | −0.851057 | − | 0.525074i | \(-0.824038\pi\) | ||
0.851057 | − | 0.525074i | \(-0.175962\pi\) | |||||||
\(308\) | 9.82523 | + | 12.0106i | 0.559844 | + | 0.684366i | ||||
\(309\) | 28.9726 | + | 9.99511i | 1.64819 | + | 0.568602i | ||||
\(310\) | −0.523636 | − | 1.46710i | −0.0297405 | − | 0.0833259i | ||||
\(311\) | −18.8323 | −1.06788 | −0.533942 | − | 0.845521i | \(-0.679290\pi\) | ||||
−0.533942 | + | 0.845521i | \(0.679290\pi\) | |||||||
\(312\) | 1.54169 | + | 17.5961i | 0.0872808 | + | 0.996184i | ||||
\(313\) | 15.9701 | 0.902682 | 0.451341 | − | 0.892352i | \(-0.350946\pi\) | ||||
0.451341 | + | 0.892352i | \(0.350946\pi\) | |||||||
\(314\) | 2.71747 | + | 7.61372i | 0.153356 | + | 0.429667i | ||||
\(315\) | −3.40455 | + | 24.0197i | −0.191825 | + | 1.35336i | ||||
\(316\) | −16.5591 | − | 20.2422i | −0.931520 | − | 1.13871i | ||||
\(317\) | 6.01383i | 0.337770i | 0.985636 | + | 0.168885i | \(0.0540167\pi\) | ||||
−0.985636 | + | 0.168885i | \(0.945983\pi\) | |||||||
\(318\) | −0.148623 | − | 13.9884i | −0.00833434 | − | 0.784432i | ||||
\(319\) | 24.7396 | − | 14.2834i | 1.38515 | − | 0.799716i | ||||
\(320\) | 24.0730 | − | 12.7215i | 1.34572 | − | 0.711153i | ||||
\(321\) | 8.60118 | + | 9.90628i | 0.480071 | + | 0.552915i | ||||
\(322\) | 21.9264 | − | 7.82594i | 1.22191 | − | 0.436123i | ||||
\(323\) | 0.758105 | − | 1.31308i | 0.0421821 | − | 0.0730615i | ||||
\(324\) | −14.4038 | − | 10.7950i | −0.800209 | − | 0.599721i | ||||
\(325\) | −13.5765 | + | 19.4713i | −0.753087 | + | 1.08007i | ||||
\(326\) | 16.0772 | + | 13.6623i | 0.890435 | + | 0.756684i | ||||
\(327\) | −0.695364 | + | 2.01563i | −0.0384537 | + | 0.111465i | ||||
\(328\) | 2.25212 | + | 4.07513i | 0.124352 | + | 0.225011i | ||||
\(329\) | −4.23758 | + | 2.44657i | −0.233625 | + | 0.134884i | ||||
\(330\) | −23.7192 | − | 13.3603i | −1.30570 | − | 0.735461i | ||||
\(331\) | −18.8173 | + | 10.8641i | −1.03429 | + | 0.597147i | −0.918211 | − | 0.396093i | \(-0.870366\pi\) |
−0.116079 | + | 0.993240i | \(0.537033\pi\) | |||||||
\(332\) | −2.40827 | + | 1.97008i | −0.132171 | + | 0.108122i | ||||
\(333\) | −8.81716 | + | 3.55031i | −0.483177 | + | 0.194556i | ||||
\(334\) | 24.1107 | + | 4.40669i | 1.31928 | + | 0.241123i | ||||
\(335\) | 6.91106 | − | 11.9703i | 0.377591 | − | 0.654008i | ||||
\(336\) | 16.4609 | + | 0.133322i | 0.898014 | + | 0.00727333i | ||||
\(337\) | 12.3866 | 0.674739 | 0.337370 | − | 0.941372i | \(-0.390463\pi\) | ||||
0.337370 | + | 0.941372i | \(0.390463\pi\) | |||||||
\(338\) | −14.1104 | + | 11.7854i | −0.767504 | + | 0.641044i | ||||
\(339\) | −3.59729 | − | 18.5647i | −0.195378 | − | 1.00830i | ||||
\(340\) | −2.79625 | − | 1.05746i | −0.151648 | − | 0.0573489i | ||||
\(341\) | 0.915242 | + | 0.528415i | 0.0495631 | + | 0.0286153i | ||||
\(342\) | −2.93891 | − | 14.3490i | −0.158918 | − | 0.775904i | ||||
\(343\) | 19.8506i | 1.07183i | ||||||||
\(344\) | −2.76023 | − | 0.0516871i | −0.148822 | − | 0.00278678i | ||||
\(345\) | −30.8408 | + | 26.7777i | −1.66041 | + | 1.44166i | ||||
\(346\) | −10.9552 | − | 9.30962i | −0.588954 | − | 0.500488i | ||||
\(347\) | −5.08375 | − | 8.80531i | −0.272910 | − | 0.472694i | 0.696696 | − | 0.717367i | \(-0.254653\pi\) |
−0.969606 | + | 0.244673i | \(0.921319\pi\) | |||||||
\(348\) | 5.13149 | − | 29.8671i | 0.275077 | − | 1.60104i | ||||
\(349\) | 10.3188 | − | 17.8726i | 0.552350 | − | 0.956699i | −0.445754 | − | 0.895156i | \(-0.647064\pi\) |
0.998104 | − | 0.0615436i | \(-0.0196023\pi\) | |||||||
\(350\) | 16.8571 | + | 14.3250i | 0.901050 | + | 0.765705i | ||||
\(351\) | 0.649723 | − | 18.7237i | 0.0346796 | − | 0.999398i | ||||
\(352\) | −6.85635 | + | 17.1526i | −0.365445 | + | 0.914235i | ||||
\(353\) | −3.96487 | − | 2.28912i | −0.211029 | − | 0.121838i | 0.390761 | − | 0.920492i | \(-0.372212\pi\) |
−0.601789 | + | 0.798655i | \(0.705545\pi\) | |||||||
\(354\) | −6.07290 | − | 10.2651i | −0.322771 | − | 0.545586i | ||||
\(355\) | −1.03064 | + | 0.595041i | −0.0547008 | + | 0.0315815i | ||||
\(356\) | −24.4574 | + | 3.99839i | −1.29624 | + | 0.211914i | ||||
\(357\) | −1.18497 | − | 1.36477i | −0.0627152 | − | 0.0722313i | ||||
\(358\) | 14.0341 | + | 2.56501i | 0.741727 | + | 0.135565i | ||||
\(359\) | 3.72963 | 0.196842 | 0.0984211 | − | 0.995145i | \(-0.468621\pi\) | ||||
0.0984211 | + | 0.995145i | \(0.468621\pi\) | |||||||
\(360\) | −26.9863 | + | 10.2834i | −1.42231 | + | 0.541984i | ||||
\(361\) | −3.54082 | + | 6.13289i | −0.186359 | + | 0.322784i | ||||
\(362\) | 4.87447 | + | 13.6571i | 0.256197 | + | 0.717802i | ||||
\(363\) | −0.572828 | + | 0.110997i | −0.0300657 | + | 0.00582584i | ||||
\(364\) | 9.67952 | + | 14.1374i | 0.507345 | + | 0.741001i | ||||
\(365\) | 20.0001i | 1.04685i | ||||||||
\(366\) | 16.4754 | + | 27.8486i | 0.861181 | + | 1.45567i | ||||
\(367\) | −3.96123 | − | 2.28702i | −0.206775 | − | 0.119381i | 0.393037 | − | 0.919523i | \(-0.371424\pi\) |
−0.599812 | + | 0.800141i | \(0.704758\pi\) | |||||||
\(368\) | 20.7791 | + | 18.3388i | 1.08318 | + | 0.955977i | ||||
\(369\) | −1.84460 | − | 4.58105i | −0.0960261 | − | 0.238480i | ||||
\(370\) | −2.74182 | + | 15.0015i | −0.142540 | + | 0.779892i | ||||
\(371\) | −6.78475 | − | 11.7515i | −0.352247 | − | 0.610109i | ||||
\(372\) | 1.05182 | − | 0.388061i | 0.0545344 | − | 0.0201200i | ||||
\(373\) | 1.43650 | + | 2.48810i | 0.0743794 | + | 0.128829i | 0.900816 | − | 0.434201i | \(-0.142969\pi\) |
−0.826437 | + | 0.563029i | \(0.809636\pi\) | |||||||
\(374\) | 1.91017 | − | 0.681774i | 0.0987724 | − | 0.0352537i | ||||
\(375\) | −8.82430 | − | 3.04425i | −0.455685 | − | 0.157205i | ||||
\(376\) | −4.98907 | − | 3.00637i | −0.257292 | − | 0.155041i | ||||
\(377\) | 28.5604 | − | 13.3869i | 1.47093 | − | 0.689463i | ||||
\(378\) | −17.3122 | − | 2.26648i | −0.890445 | − | 0.116575i | ||||
\(379\) | 29.9026 | + | 17.2643i | 1.53599 | + | 0.886806i | 0.999067 | + | 0.0431758i | \(0.0137475\pi\) |
0.536925 | + | 0.843630i | \(0.319586\pi\) | |||||||
\(380\) | −21.9802 | − | 8.31229i | −1.12756 | − | 0.426412i | ||||
\(381\) | −6.09733 | + | 5.29403i | −0.312375 | + | 0.271222i | ||||
\(382\) | 19.1401 | − | 22.5233i | 0.979291 | − | 1.15239i | ||||
\(383\) | −4.03832 | − | 6.99457i | −0.206348 | − | 0.357406i | 0.744213 | − | 0.667942i | \(-0.232825\pi\) |
−0.950562 | + | 0.310536i | \(0.899491\pi\) | |||||||
\(384\) | 9.33929 | + | 17.2272i | 0.476594 | + | 0.879124i | ||||
\(385\) | −26.4063 | −1.34579 | ||||||||
\(386\) | 19.6593 | + | 3.59311i | 1.00063 | + | 0.182885i | ||||
\(387\) | 2.89920 | + | 0.410933i | 0.147375 | + | 0.0208889i | ||||
\(388\) | −3.70792 | − | 1.40223i | −0.188241 | − | 0.0711874i | ||||
\(389\) | 12.7968i | 0.648822i | 0.945916 | + | 0.324411i | \(0.105166\pi\) | ||||
−0.945916 | + | 0.324411i | \(0.894834\pi\) | |||||||
\(390\) | −24.8379 | − | 16.9290i | −1.25772 | − | 0.857235i | ||||
\(391\) | − | 3.04295i | − | 0.153889i | ||||||
\(392\) | −3.35344 | + | 1.85328i | −0.169374 | + | 0.0936047i | ||||
\(393\) | −3.77353 | + | 10.9382i | −0.190349 | + | 0.551761i | ||||
\(394\) | −1.27542 | + | 6.97832i | −0.0642549 | + | 0.351563i | ||||
\(395\) | 44.5043 | 2.23925 | ||||||||
\(396\) | 9.43361 | − | 17.1721i | 0.474057 | − | 0.862928i | ||||
\(397\) | 6.70688 | + | 11.6167i | 0.336609 | + | 0.583023i | 0.983793 | − | 0.179311i | \(-0.0573867\pi\) |
−0.647184 | + | 0.762334i | \(0.724053\pi\) | |||||||
\(398\) | −26.5454 | − | 22.5581i | −1.33060 | − | 1.13073i | ||||
\(399\) | −9.31459 | − | 10.7279i | −0.466313 | − | 0.537069i | ||||
\(400\) | −5.21879 | + | 25.8117i | −0.260939 | + | 1.29058i | ||||
\(401\) | −26.9891 | − | 15.5822i | −1.34777 | − | 0.778136i | −0.359838 | − | 0.933015i | \(-0.617168\pi\) |
−0.987933 | + | 0.154879i | \(0.950501\pi\) | |||||||
\(402\) | 8.66747 | + | 4.88213i | 0.432294 | + | 0.243498i | ||||
\(403\) | 0.957197 | + | 0.667411i | 0.0476814 | + | 0.0332461i | ||||
\(404\) | −0.723048 | + | 0.118207i | −0.0359730 | + | 0.00588102i | ||||
\(405\) | 29.7386 | − | 7.34042i | 1.47772 | − | 0.364749i | ||||
\(406\) | −9.88124 | − | 27.6849i | −0.490398 | − | 1.37398i | ||||
\(407\) | −5.17306 | − | 8.96001i | −0.256419 | − | 0.444131i | ||||
\(408\) | 0.739638 | − | 2.02045i | 0.0366175 | − | 0.100027i | ||||
\(409\) | −13.0906 | − | 22.6736i | −0.647288 | − | 1.12114i | −0.983768 | − | 0.179445i | \(-0.942570\pi\) |
0.336480 | − | 0.941691i | \(-0.390764\pi\) | |||||||
\(410\) | −7.79420 | − | 1.42454i | −0.384928 | − | 0.0703530i | ||||
\(411\) | 3.12074 | + | 16.1053i | 0.153935 | + | 0.794417i | ||||
\(412\) | 22.4078 | + | 27.3917i | 1.10395 | + | 1.34949i | ||||
\(413\) | −10.0192 | − | 5.78458i | −0.493012 | − | 0.284640i | ||||
\(414\) | −19.5068 | − | 21.9904i | −0.958709 | − | 1.08077i | ||||
\(415\) | − | 5.29480i | − | 0.259911i | ||||||
\(416\) | −9.15617 | + | 18.2254i | −0.448918 | + | 0.893573i | ||||
\(417\) | 4.15663 | + | 21.4513i | 0.203551 | + | 1.05048i | ||||
\(418\) | 15.0151 | − | 5.35916i | 0.734412 | − | 0.262125i | ||||
\(419\) | −15.9736 | + | 27.6671i | −0.780363 | + | 1.35163i | 0.151367 | + | 0.988478i | \(0.451632\pi\) |
−0.931730 | + | 0.363151i | \(0.881701\pi\) | |||||||
\(420\) | −17.9121 | + | 21.5378i | −0.874019 | + | 1.05094i | ||||
\(421\) | 9.17039 | 0.446937 | 0.223469 | − | 0.974711i | \(-0.428262\pi\) | ||||
0.223469 | + | 0.974711i | \(0.428262\pi\) | |||||||
\(422\) | −6.38224 | + | 34.9196i | −0.310683 | + | 1.69986i | ||||
\(423\) | 4.86401 | + | 3.80940i | 0.236496 | + | 0.185219i | ||||
\(424\) | 8.33718 | − | 13.8356i | 0.404889 | − | 0.671914i | ||||
\(425\) | 2.50403 | − | 1.44570i | 0.121463 | − | 0.0701267i | ||||
\(426\) | −0.436112 | − | 0.737168i | −0.0211297 | − | 0.0357159i | ||||
\(427\) | 27.1814 | + | 15.6932i | 1.31540 | + | 0.759445i | ||||
\(428\) | 2.44414 | + | 14.9503i | 0.118142 | + | 0.722651i | ||||
\(429\) | 20.2780 | − | 2.15992i | 0.979030 | − | 0.104282i | ||||
\(430\) | 3.04221 | − | 3.57995i | 0.146708 | − | 0.172640i | ||||
\(431\) | 3.41352 | − | 5.91239i | 0.164424 | − | 0.284790i | −0.772027 | − | 0.635590i | \(-0.780757\pi\) |
0.936450 | + | 0.350800i | \(0.114090\pi\) | |||||||
\(432\) | −7.60698 | − | 19.3425i | −0.365991 | − | 0.930618i | ||||
\(433\) | −12.1540 | − | 21.0513i | −0.584082 | − | 1.01166i | −0.994989 | − | 0.0999825i | \(-0.968121\pi\) |
0.410907 | − | 0.911677i | \(-0.365212\pi\) | |||||||
\(434\) | 0.704209 | − | 0.828685i | 0.0338031 | − | 0.0397781i | ||||
\(435\) | 33.8103 | + | 38.9405i | 1.62108 | + | 1.86705i | ||||
\(436\) | −1.90565 | + | 1.55892i | −0.0912643 | + | 0.0746586i | ||||
\(437\) | − | 23.9195i | − | 1.14422i | ||||||
\(438\) | −14.3934 | + | 0.152925i | −0.687742 | + | 0.00730704i | ||||
\(439\) | 12.7472 | + | 7.35961i | 0.608391 | + | 0.351255i | 0.772336 | − | 0.635215i | \(-0.219088\pi\) |
−0.163944 | + | 0.986470i | \(0.552422\pi\) | |||||||
\(440\) | −15.2048 | − | 27.5126i | −0.724862 | − | 1.31161i | ||||
\(441\) | 3.76976 | − | 1.51793i | 0.179513 | − | 0.0722824i | ||||
\(442\) | 2.16557 | − | 0.570393i | 0.103006 | − | 0.0271308i | ||||
\(443\) | −0.455670 | −0.0216495 | −0.0108248 | − | 0.999941i | \(-0.503446\pi\) | ||||
−0.0108248 | + | 0.999941i | \(0.503446\pi\) | |||||||
\(444\) | −10.8171 | − | 1.85849i | −0.513355 | − | 0.0882000i | ||||
\(445\) | 21.0861 | − | 36.5223i | 0.999579 | − | 1.73132i | ||||
\(446\) | 0.843858 | − | 4.61706i | 0.0399578 | − | 0.218624i | ||||
\(447\) | −4.23805 | − | 21.8715i | −0.200453 | − | 1.03449i | ||||
\(448\) | 16.0940 | + | 10.1136i | 0.760372 | + | 0.477823i | ||||
\(449\) | 16.1586 | − | 9.32918i | 0.762572 | − | 0.440271i | −0.0676464 | − | 0.997709i | \(-0.521549\pi\) |
0.830218 | + | 0.557438i | \(0.188216\pi\) | |||||||
\(450\) | 8.82807 | − | 26.4996i | 0.416159 | − | 1.24920i | ||||
\(451\) | 4.65527 | − | 2.68772i | 0.219208 | − | 0.126560i | ||||
\(452\) | 7.72368 | − | 20.4238i | 0.363291 | − | 0.960653i | ||||
\(453\) | −15.0483 | − | 5.19146i | −0.707033 | − | 0.243916i | ||||
\(454\) | −17.4617 | + | 20.5482i | −0.819517 | + | 0.964374i | ||||
\(455\) | −29.0507 | − | 2.48355i | −1.36192 | − | 0.116431i | ||||
\(456\) | 5.81401 | − | 15.8820i | 0.272266 | − | 0.743742i | ||||
\(457\) | −11.0743 | + | 19.1813i | −0.518035 | + | 0.897264i | 0.481745 | + | 0.876311i | \(0.340003\pi\) |
−0.999780 | + | 0.0209522i | \(0.993330\pi\) | |||||||
\(458\) | −12.7878 | − | 35.8285i | −0.597536 | − | 1.67415i | ||||
\(459\) | −1.03963 | + | 2.03153i | −0.0485259 | + | 0.0948237i | ||||
\(460\) | −46.5443 | + | 7.60925i | −2.17014 | + | 0.354783i | ||||
\(461\) | 30.5380 | − | 17.6311i | 1.42230 | − | 0.821163i | 0.425802 | − | 0.904817i | \(-0.359992\pi\) |
0.996495 | + | 0.0836531i | \(0.0266588\pi\) | |||||||
\(462\) | −0.201909 | − | 19.0038i | −0.00939365 | − | 0.884135i | ||||
\(463\) | − | 2.08649i | − | 0.0969674i | −0.998824 | − | 0.0484837i | \(-0.984561\pi\) | ||
0.998824 | − | 0.0484837i | \(-0.0154389\pi\) | |||||||
\(464\) | 23.1551 | − | 26.2362i | 1.07495 | − | 1.21799i | ||||
\(465\) | −0.622195 | + | 1.80354i | −0.0288536 | + | 0.0836371i | ||||
\(466\) | −1.06025 | + | 0.378423i | −0.0491152 | + | 0.0175301i | ||||
\(467\) | −10.1330 | −0.468900 | −0.234450 | − | 0.972128i | \(-0.575329\pi\) | ||||
−0.234450 | + | 0.972128i | \(0.575329\pi\) | |||||||
\(468\) | 11.9933 | − | 18.0044i | 0.554393 | − | 0.832255i | ||||
\(469\) | 9.64941 | 0.445568 | ||||||||
\(470\) | 9.33552 | − | 3.33202i | 0.430615 | − | 0.153694i | ||||
\(471\) | 3.22896 | − | 9.35969i | 0.148782 | − | 0.431272i | ||||
\(472\) | 0.257846 | − | 13.7697i | 0.0118683 | − | 0.633801i | ||||
\(473\) | 3.18727i | 0.146551i | ||||||||
\(474\) | 0.340290 | + | 32.0282i | 0.0156300 | + | 1.47110i | ||||
\(475\) | 19.6832 | − | 11.3641i | 0.903127 | − | 0.521420i | ||||
\(476\) | −0.336725 | − | 2.05968i | −0.0154338 | − | 0.0944053i | ||||
\(477\) | −10.5641 | + | 13.4888i | −0.483698 | + | 0.617608i | ||||
\(478\) | −3.66781 | − | 10.2763i | −0.167762 | − | 0.470028i | ||||
\(479\) | 20.1079 | − | 34.8280i | 0.918755 | − | 1.59133i | 0.117446 | − | 0.993079i | \(-0.462529\pi\) |
0.801309 | − | 0.598250i | \(-0.204137\pi\) | |||||||
\(480\) | −32.7539 | − | 6.26096i | −1.49500 | − | 0.285772i | ||||
\(481\) | −4.84839 | − | 10.3438i | −0.221068 | − | 0.471637i | ||||
\(482\) | −9.95267 | + | 11.7119i | −0.453332 | + | 0.533462i | ||||
\(483\) | −26.9546 | − | 9.29894i | −1.22648 | − | 0.423116i | ||||
\(484\) | −0.630191 | − | 0.238320i | −0.0286450 | − | 0.0108327i | ||||
\(485\) | 5.84220 | − | 3.37300i | 0.265281 | − | 0.153160i | ||||
\(486\) | 5.51004 | + | 21.3457i | 0.249941 | + | 0.968261i | ||||
\(487\) | 27.4616 | − | 15.8550i | 1.24441 | − | 0.718458i | 0.274418 | − | 0.961611i | \(-0.411515\pi\) |
0.969988 | + | 0.243153i | \(0.0781816\pi\) | |||||||
\(488\) | −0.699520 | + | 37.3562i | −0.0316658 | + | 1.69104i | ||||
\(489\) | −4.91558 | − | 25.3681i | −0.222290 | − | 1.14718i | ||||
\(490\) | 1.17226 | − | 6.41388i | 0.0529573 | − | 0.289749i | ||||
\(491\) | −10.5967 | + | 18.3540i | −0.478222 | + | 0.828305i | −0.999688 | − | 0.0249673i | \(-0.992052\pi\) |
0.521466 | + | 0.853272i | \(0.325385\pi\) | |||||||
\(492\) | 0.965598 | − | 5.62011i | 0.0435325 | − | 0.253374i | ||||
\(493\) | −3.84211 | −0.173040 | ||||||||
\(494\) | 17.0228 | − | 4.48364i | 0.765890 | − | 0.201729i | ||||
\(495\) | 12.4535 | + | 30.9282i | 0.559745 | + | 1.39012i | ||||
\(496\) | 1.26889 | + | 0.256552i | 0.0569747 | + | 0.0115195i | ||||
\(497\) | −0.719505 | − | 0.415407i | −0.0322742 | − | 0.0186335i | ||||
\(498\) | 3.81049 | − | 0.0404852i | 0.170752 | − | 0.00181419i | ||||
\(499\) | 30.2884i | 1.35590i | 0.735110 | + | 0.677948i | \(0.237131\pi\) | ||||
−0.735110 | + | 0.677948i | \(0.762869\pi\) | |||||||
\(500\) | −6.82483 | − | 8.34282i | −0.305216 | − | 0.373102i | ||||
\(501\) | −19.6806 | − | 22.6669i | −0.879266 | − | 1.01268i | ||||
\(502\) | −16.5578 | + | 19.4846i | −0.739011 | + | 0.869638i | ||||
\(503\) | 4.19340 | + | 7.26318i | 0.186974 | + | 0.323849i | 0.944240 | − | 0.329258i | \(-0.106798\pi\) |
−0.757266 | + | 0.653107i | \(0.773465\pi\) | |||||||
\(504\) | −15.6370 | − | 12.7260i | −0.696526 | − | 0.566862i | ||||
\(505\) | 0.623383 | − | 1.07973i | 0.0277402 | − | 0.0480474i | ||||
\(506\) | 20.7195 | − | 24.3818i | 0.921093 | − | 1.08390i | ||||
\(507\) | 22.5118 | − | 0.469045i | 0.999783 | − | 0.0208310i | ||||
\(508\) | −9.20194 | + | 1.50437i | −0.408270 | + | 0.0667457i | ||||
\(509\) | −8.38001 | − | 4.83820i | −0.371437 | − | 0.214449i | 0.302649 | − | 0.953102i | \(-0.402129\pi\) |
−0.674086 | + | 0.738653i | \(0.735462\pi\) | |||||||
\(510\) | 1.86428 | + | 3.15123i | 0.0825518 | + | 0.139539i | ||||
\(511\) | −12.0917 | + | 6.98116i | −0.534906 | + | 0.308828i | ||||
\(512\) | −1.27032 | + | 22.5917i | −0.0561409 | + | 0.998423i | ||||
\(513\) | −8.17216 | + | 15.9691i | −0.360809 | + | 0.705052i | ||||
\(514\) | −4.07006 | + | 22.2688i | −0.179523 | + | 0.982235i | ||||
\(515\) | −60.2232 | −2.65375 | ||||||||
\(516\) | 2.59963 | + | 2.16200i | 0.114442 | + | 0.0951768i | ||||
\(517\) | −3.36243 | + | 5.82390i | −0.147879 | + | 0.256135i | ||||
\(518\) | −10.0267 | + | 3.57872i | −0.440549 | + | 0.157240i | ||||
\(519\) | 3.34953 | + | 17.2861i | 0.147028 | + | 0.758774i | ||||
\(520\) | −14.1399 | − | 31.6978i | −0.620074 | − | 1.39004i | ||||
\(521\) | 15.2734i | 0.669138i | 0.942371 | + | 0.334569i | \(0.108591\pi\) | ||||
−0.942371 | + | 0.334569i | \(0.891409\pi\) | |||||||
\(522\) | −27.7656 | + | 24.6299i | −1.21527 | + | 1.07802i | ||||
\(523\) | 7.73177 | + | 4.46394i | 0.338087 | + | 0.195194i | 0.659426 | − | 0.751770i | \(-0.270800\pi\) |
−0.321339 | + | 0.946964i | \(0.604133\pi\) | |||||||
\(524\) | −10.3414 | + | 8.45978i | −0.451767 | + | 0.369567i | ||||
\(525\) | −5.15403 | − | 26.5987i | −0.224940 | − | 1.16086i | ||||
\(526\) | −17.4642 | − | 3.19192i | −0.761475 | − | 0.139174i | ||||
\(527\) | −0.0710697 | − | 0.123096i | −0.00309584 | − | 0.00536216i | ||||
\(528\) | 19.6836 | − | 11.1528i | 0.856620 | − | 0.485362i | ||||
\(529\) | −12.5026 | − | 21.6551i | −0.543590 | − | 0.941526i | ||||
\(530\) | 9.24026 | + | 25.8890i | 0.401371 | + | 1.12455i | ||||
\(531\) | −2.04998 | + | 14.4630i | −0.0889616 | + | 0.627639i | ||||
\(532\) | −2.64687 | − | 16.1904i | −0.114756 | − | 0.701942i | ||||
\(533\) | 5.37423 | − | 2.51904i | 0.232784 | − | 0.109112i | ||||
\(534\) | 26.4451 | + | 14.8957i | 1.14439 | + | 0.644601i | ||||
\(535\) | −22.3254 | − | 12.8896i | −0.965210 | − | 0.557264i | ||||
\(536\) | 5.55615 | + | 10.0537i | 0.239989 | + | 0.434252i | ||||
\(537\) | −11.4555 | − | 13.1937i | −0.494343 | − | 0.569352i | ||||
\(538\) | 18.5985 | + | 15.8049i | 0.801839 | + | 0.681396i | ||||
\(539\) | 2.21174 | + | 3.83084i | 0.0952662 | + | 0.165006i | ||||
\(540\) | 33.6735 | + | 10.8219i | 1.44908 | + | 0.465700i | ||||
\(541\) | 16.8992 | 0.726554 | 0.363277 | − | 0.931681i | \(-0.381658\pi\) | ||||
0.363277 | + | 0.931681i | \(0.381658\pi\) | |||||||
\(542\) | −3.99941 | + | 21.8823i | −0.171789 | + | 0.939924i | ||||
\(543\) | 5.79195 | − | 16.7890i | 0.248556 | − | 0.720483i | ||||
\(544\) | 1.95208 | − | 1.53680i | 0.0836948 | − | 0.0658898i | ||||
\(545\) | − | 4.18976i | − | 0.179469i | ||||||
\(546\) | 1.56520 | − | 20.9258i | 0.0669844 | − | 0.895541i | ||||
\(547\) | − | 34.2378i | − | 1.46390i | −0.681358 | − | 0.731951i | \(-0.738610\pi\) | ||
0.681358 | − | 0.731951i | \(-0.261390\pi\) | |||||||
\(548\) | −6.70048 | + | 17.7181i | −0.286230 | + | 0.756880i | ||||
\(549\) | 5.56146 | − | 39.2370i | 0.237357 | − | 1.67460i | ||||
\(550\) | 29.9074 | + | 5.46616i | 1.27526 | + | 0.233078i | ||||
\(551\) | −30.2014 | −1.28662 | ||||||||
\(552\) | −5.83201 | − | 33.4382i | −0.248227 | − | 1.42322i | ||||
\(553\) | 15.5345 | + | 26.9066i | 0.660595 | + | 1.14418i | ||||
\(554\) | −0.486699 | + | 0.572728i | −0.0206779 | + | 0.0243329i | ||||
\(555\) | 14.1032 | − | 12.2452i | 0.598647 | − | 0.519779i | ||||
\(556\) | −8.92463 | + | 23.5994i | −0.378489 | + | 1.00084i | ||||
\(557\) | 13.6598 | + | 7.88649i | 0.578784 | + | 0.334161i | 0.760650 | − | 0.649162i | \(-0.224880\pi\) |
−0.181866 | + | 0.983323i | \(0.558214\pi\) | |||||||
\(558\) | −1.30270 | − | 0.433982i | −0.0551479 | − | 0.0183719i | ||||
\(559\) | −0.299767 | + | 3.50644i | −0.0126788 | + | 0.148307i | ||||
\(560\) | −30.6624 | + | 10.3009i | −1.29572 | + | 0.435294i | ||||
\(561\) | −2.34821 | − | 0.810097i | −0.0991414 | − | 0.0342023i | ||||
\(562\) | 2.42276 | − | 0.864728i | 0.102198 | − | 0.0364763i | ||||
\(563\) | 15.8941 | + | 27.5293i | 0.669854 | + | 1.16022i | 0.977945 | + | 0.208865i | \(0.0669768\pi\) |
−0.308090 | + | 0.951357i | \(0.599690\pi\) | |||||||
\(564\) | 2.46932 | + | 6.69298i | 0.103977 | + | 0.281825i | ||||
\(565\) | 18.5790 | + | 32.1797i | 0.781623 | + | 1.35381i | ||||
\(566\) | −6.63386 | + | 36.2963i | −0.278842 | + | 1.52565i | ||||
\(567\) | 14.8184 | + | 15.4172i | 0.622312 | + | 0.647463i | ||||
\(568\) | 0.0185167 | − | 0.988840i | 0.000776942 | − | 0.0414908i | ||||
\(569\) | −14.9900 | − | 8.65451i | −0.628416 | − | 0.362816i | 0.151723 | − | 0.988423i | \(-0.451518\pi\) |
−0.780138 | + | 0.625607i | \(0.784851\pi\) | |||||||
\(570\) | 14.6544 | + | 24.7707i | 0.613806 | + | 1.03753i | ||||
\(571\) | 12.6645i | 0.529995i | 0.964249 | + | 0.264997i | \(0.0853711\pi\) | ||||
−0.964249 | + | 0.264997i | \(0.914629\pi\) | |||||||
\(572\) | 21.2356 | + | 10.1751i | 0.887904 | + | 0.425442i | ||||
\(573\) | −35.5392 | + | 6.88645i | −1.48467 | + | 0.287685i | ||||
\(574\) | −1.85936 | − | 5.20950i | −0.0776083 | − | 0.217440i | ||||
\(575\) | 22.8071 | − | 39.5031i | 0.951123 | − | 1.64739i | ||||
\(576\) | 4.25536 | − | 23.6197i | 0.177307 | − | 0.984156i | ||||
\(577\) | 28.5689 | 1.18934 | 0.594669 | − | 0.803971i | \(-0.297283\pi\) | ||||
0.594669 | + | 0.803971i | \(0.297283\pi\) | |||||||
\(578\) | 23.3815 | + | 4.27343i | 0.972543 | + | 0.177751i | ||||
\(579\) | −16.0471 | − | 18.4820i | −0.666896 | − | 0.768088i | ||||
\(580\) | 9.60765 | + | 58.7681i | 0.398936 | + | 2.44021i | ||||
\(581\) | 3.20115 | − | 1.84819i | 0.132806 | − | 0.0766757i | ||||
\(582\) | 2.47210 | + | 4.17865i | 0.102472 | + | 0.173210i | ||||
\(583\) | −16.1507 | − | 9.32460i | −0.668893 | − | 0.386185i | ||||
\(584\) | −14.2361 | − | 8.57852i | −0.589093 | − | 0.354982i | ||||
\(585\) | 10.7918 | + | 35.1967i | 0.446186 | + | 1.45520i | ||||
\(586\) | 16.6244 | + | 14.1273i | 0.686749 | + | 0.583593i | ||||
\(587\) | 3.14691 | − | 5.45061i | 0.129887 | − | 0.224971i | −0.793746 | − | 0.608250i | \(-0.791872\pi\) |
0.923633 | + | 0.383279i | \(0.125205\pi\) | |||||||
\(588\) | 4.62482 | + | 0.794594i | 0.190724 | + | 0.0327685i | ||||
\(589\) | −0.558652 | − | 0.967613i | −0.0230188 | − | 0.0398698i | ||||
\(590\) | 17.8589 | + | 15.1764i | 0.735240 | + | 0.624801i | ||||
\(591\) | 6.56045 | − | 5.69614i | 0.269861 | − | 0.234308i | ||||
\(592\) | −9.50206 | − | 8.38615i | −0.390532 | − | 0.344669i | ||||
\(593\) | 20.9050i | 0.858466i | 0.903194 | + | 0.429233i | \(0.141216\pi\) | ||||
−0.903194 | + | 0.429233i | \(0.858784\pi\) | |||||||
\(594\) | −22.1628 | + | 9.19888i | −0.909350 | + | 0.377435i | ||||
\(595\) | 3.07573 | + | 1.77577i | 0.126093 | + | 0.0727996i | ||||
\(596\) | 9.09944 | − | 24.0617i | 0.372728 | − | 0.985605i | ||||
\(597\) | 8.11621 | + | 41.8857i | 0.332174 | + | 1.71427i | ||||
\(598\) | 25.0875 | − | 24.8747i | 1.02590 | − | 1.01720i | ||||
\(599\) | −10.0615 | −0.411102 | −0.205551 | − | 0.978646i | \(-0.565899\pi\) | ||||
−0.205551 | + | 0.978646i | \(0.565899\pi\) | |||||||
\(600\) | 24.7453 | − | 20.6855i | 1.01022 | − | 0.844483i | ||||
\(601\) | 0.611503 | − | 1.05915i | 0.0249437 | − | 0.0432038i | −0.853284 | − | 0.521446i | \(-0.825393\pi\) |
0.878228 | + | 0.478243i | \(0.158726\pi\) | |||||||
\(602\) | 3.22628 | + | 0.589666i | 0.131493 | + | 0.0240330i | ||||
\(603\) | −4.55078 | − | 11.3018i | −0.185322 | − | 0.460245i | ||||
\(604\) | −11.6386 | − | 14.2273i | −0.473567 | − | 0.578899i | ||||
\(605\) | 0.992929 | − | 0.573268i | 0.0403683 | − | 0.0233066i | ||||
\(606\) | 0.781812 | + | 0.440372i | 0.0317589 | + | 0.0178889i | ||||
\(607\) | 13.8018 | − | 7.96848i | 0.560198 | − | 0.323430i | −0.193027 | − | 0.981193i | \(-0.561830\pi\) |
0.753225 | + | 0.657763i | \(0.228497\pi\) | |||||||
\(608\) | 15.3446 | − | 12.0802i | 0.622304 | − | 0.489917i | ||||
\(609\) | −11.7411 | + | 34.0336i | −0.475773 | + | 1.37911i | ||||
\(610\) | −48.4501 | − | 41.1724i | −1.96169 | − | 1.66702i | ||||
\(611\) | −4.24689 | + | 6.09086i | −0.171811 | + | 0.246410i | ||||
\(612\) | −2.25358 | + | 1.36576i | −0.0910957 | + | 0.0552074i | ||||
\(613\) | −20.1949 | + | 34.9787i | −0.815666 | + | 1.41277i | 0.0931830 | + | 0.995649i | \(0.470296\pi\) |
−0.908849 | + | 0.417126i | \(0.863037\pi\) | |||||||
\(614\) | −24.5074 | + | 8.74714i | −0.989038 | + | 0.353006i | ||||
\(615\) | 6.36211 | + | 7.32747i | 0.256545 | + | 0.295472i | ||||
\(616\) | 11.3263 | − | 18.7961i | 0.456351 | − | 0.757315i | ||||
\(617\) | −0.788983 | + | 0.455519i | −0.0317632 | + | 0.0183385i | −0.515798 | − | 0.856711i | \(-0.672504\pi\) |
0.484034 | + | 0.875049i | \(0.339171\pi\) | |||||||
\(618\) | −0.460481 | − | 43.3406i | −0.0185232 | − | 1.74342i | ||||
\(619\) | − | 10.0964i | − | 0.405810i | −0.979198 | − | 0.202905i | \(-0.934962\pi\) | ||
0.979198 | − | 0.202905i | \(-0.0650383\pi\) | |||||||
\(620\) | −1.70513 | + | 1.39488i | −0.0684798 | + | 0.0560198i | ||||
\(621\) | 1.82079 | + | 35.9559i | 0.0730657 | + | 1.44286i | ||||
\(622\) | 8.95263 | + | 25.0831i | 0.358968 | + | 1.00574i | ||||
\(623\) | 29.4411 | 1.17953 | ||||||||
\(624\) | 22.7037 | − | 10.4183i | 0.908875 | − | 0.417068i | ||||
\(625\) | −14.5750 | −0.583002 | ||||||||
\(626\) | −7.59195 | − | 21.2708i | −0.303435 | − | 0.850154i | ||||
\(627\) | −18.4584 | − | 6.36786i | −0.737156 | − | 0.254308i | ||||
\(628\) | 8.84900 | − | 7.23891i | 0.353114 | − | 0.288864i | ||||
\(629\) | 1.39151i | 0.0554832i | ||||||||
\(630\) | 33.6108 | − | 6.88405i | 1.33909 | − | 0.274267i | ||||
\(631\) | −22.2827 | + | 12.8649i | −0.887061 | + | 0.512145i | −0.872980 | − | 0.487756i | \(-0.837816\pi\) |
−0.0140809 | + | 0.999901i | \(0.504482\pi\) | |||||||
\(632\) | −19.0890 | + | 31.6782i | −0.759319 | + | 1.26009i | ||||
\(633\) | 32.8286 | − | 28.5036i | 1.30482 | − | 1.13292i | ||||
\(634\) | 8.00993 | − | 2.85889i | 0.318115 | − | 0.113541i | ||||
\(635\) | 7.93354 | − | 13.7413i | 0.314833 | − | 0.545307i | ||||
\(636\) | −18.5608 | + | 6.84786i | −0.735984 | + | 0.271535i | ||||
\(637\) | 2.07292 | + | 4.42248i | 0.0821323 | + | 0.175225i | ||||
\(638\) | −30.7852 | − | 26.1610i | −1.21880 | − | 1.03572i | ||||
\(639\) | −0.147215 | + | 1.03863i | −0.00582373 | + | 0.0410874i | ||||
\(640\) | −28.3879 | − | 26.0156i | −1.12213 | − | 1.02836i | ||||
\(641\) | −28.5900 | + | 16.5064i | −1.12924 | + | 0.651964i | −0.943743 | − | 0.330681i | \(-0.892722\pi\) |
−0.185493 | + | 0.982646i | \(0.559388\pi\) | |||||||
\(642\) | 9.10548 | − | 16.1654i | 0.359365 | − | 0.637997i | ||||
\(643\) | −0.377149 | + | 0.217747i | −0.0148733 | + | 0.00858710i | −0.507418 | − | 0.861700i | \(-0.669400\pi\) |
0.492545 | + | 0.870287i | \(0.336067\pi\) | |||||||
\(644\) | −20.8470 | − | 25.4839i | −0.821488 | − | 1.00421i | ||||
\(645\) | −5.64876 | + | 1.09456i | −0.222420 | + | 0.0430983i | ||||
\(646\) | −2.10930 | − | 0.385516i | −0.0829895 | − | 0.0151679i | ||||
\(647\) | −10.8633 | + | 18.8158i | −0.427080 | + | 0.739725i | −0.996612 | − | 0.0822444i | \(-0.973791\pi\) |
0.569532 | + | 0.821969i | \(0.307125\pi\) | |||||||
\(648\) | −7.53068 | + | 24.3164i | −0.295833 | + | 0.955240i | ||||
\(649\) | −15.9000 | −0.624130 | ||||||||
\(650\) | 32.3883 | + | 8.82637i | 1.27037 | + | 0.346199i | ||||
\(651\) | −1.30757 | + | 0.253369i | −0.0512478 | + | 0.00993031i | ||||
\(652\) | 10.5542 | − | 27.9084i | 0.413333 | − | 1.09298i | ||||
\(653\) | 33.5589 | + | 19.3752i | 1.31326 | + | 0.758212i | 0.982635 | − | 0.185550i | \(-0.0594066\pi\) |
0.330627 | + | 0.943762i | \(0.392740\pi\) | |||||||
\(654\) | 3.01523 | − | 0.0320358i | 0.117905 | − | 0.00125270i | ||||
\(655\) | − | 22.7366i | − | 0.888391i | ||||||
\(656\) | 4.35711 | − | 4.93690i | 0.170117 | − | 0.192754i | ||||
\(657\) | 13.8792 | + | 10.8699i | 0.541480 | + | 0.424077i | ||||
\(658\) | 5.27311 | + | 4.48104i | 0.205567 | + | 0.174689i | ||||
\(659\) | 13.5023 | + | 23.3866i | 0.525974 | + | 0.911013i | 0.999542 | + | 0.0302561i | \(0.00963229\pi\) |
−0.473569 | + | 0.880757i | \(0.657034\pi\) | |||||||
\(660\) | −6.51908 | + | 37.9433i | −0.253755 | + | 1.47694i | ||||
\(661\) | −7.17061 | + | 12.4199i | −0.278905 | + | 0.483077i | −0.971113 | − | 0.238621i | \(-0.923305\pi\) |
0.692208 | + | 0.721698i | \(0.256638\pi\) | |||||||
\(662\) | 23.4156 | + | 19.8984i | 0.910074 | + | 0.773373i | ||||
\(663\) | −2.50717 | − | 1.11207i | −0.0973703 | − | 0.0431893i | ||||
\(664\) | 3.76884 | + | 2.27107i | 0.146260 | + | 0.0881346i | ||||
\(665\) | 24.1771 | + | 13.9587i | 0.937549 | + | 0.541294i | ||||
\(666\) | 8.92028 | + | 10.0560i | 0.345654 | + | 0.389661i | ||||
\(667\) | −52.4920 | + | 30.3063i | −2.03250 | + | 1.17346i | ||||
\(668\) | −5.59252 | − | 34.2083i | −0.216381 | − | 1.32356i | ||||
\(669\) | −4.34059 | + | 3.76874i | −0.167817 | + | 0.145708i | ||||
\(670\) | −19.2289 | − | 3.51445i | −0.742877 | − | 0.135775i | ||||
\(671\) | 43.1357 | 1.66523 | ||||||||
\(672\) | −7.64769 | − | 21.9879i | −0.295016 | − | 0.848202i | ||||
\(673\) | 11.8171 | − | 20.4678i | 0.455515 | − | 0.788975i | −0.543203 | − | 0.839602i | \(-0.682788\pi\) |
0.998718 | + | 0.0506263i | \(0.0161217\pi\) | |||||||
\(674\) | −5.88840 | − | 16.4979i | −0.226813 | − | 0.635476i | ||||
\(675\) | −28.7228 | + | 18.5809i | −1.10554 | + | 0.715177i | ||||
\(676\) | 22.4051 | + | 13.1913i | 0.861736 | + | 0.507356i | ||||
\(677\) | 15.9779i | 0.614082i | 0.951696 | + | 0.307041i | \(0.0993389\pi\) | ||||
−0.951696 | + | 0.307041i | \(0.900661\pi\) | |||||||
\(678\) | −23.0166 | + | 13.6167i | −0.883947 | + | 0.522946i | ||||
\(679\) | 4.07852 | + | 2.35474i | 0.156519 | + | 0.0903665i | ||||
\(680\) | −0.0791548 | + | 4.22708i | −0.00303545 | + | 0.162101i | ||||
\(681\) | 32.4228 | − | 6.28257i | 1.24244 | − | 0.240749i | ||||
\(682\) | 0.268713 | − | 1.47023i | 0.0102895 | − | 0.0562980i | ||||
\(683\) | 2.73349 | + | 4.73455i | 0.104594 | + | 0.181162i | 0.913572 | − | 0.406676i | \(-0.133312\pi\) |
−0.808978 | + | 0.587839i | \(0.799979\pi\) | |||||||
\(684\) | −17.7146 | + | 10.7357i | −0.677333 | + | 0.410489i | ||||
\(685\) | −16.1177 | − | 27.9167i | −0.615825 | − | 1.06664i | ||||
\(686\) | 26.4394 | − | 9.43670i | 1.00946 | − | 0.360295i | ||||
\(687\) | −15.1948 | + | 44.0446i | −0.579716 | + | 1.68041i | ||||
\(688\) | 1.24333 | + | 3.70098i | 0.0474016 | + | 0.141098i | ||||
\(689\) | −16.8910 | − | 11.7774i | −0.643497 | − | 0.448682i | ||||
\(690\) | 50.3270 | + | 28.3477i | 1.91592 | + | 1.07918i | ||||
\(691\) | −30.9581 | − | 17.8737i | −1.17770 | − | 0.679946i | −0.222220 | − | 0.974997i | \(-0.571330\pi\) |
−0.955482 | + | 0.295050i | \(0.904664\pi\) | |||||||
\(692\) | −7.19171 | + | 19.0171i | −0.273388 | + | 0.722921i | ||||
\(693\) | −14.3517 | + | 18.3249i | −0.545177 | + | 0.696107i | ||||
\(694\) | −9.31122 | + | 10.9571i | −0.353449 | + | 0.415925i | ||||
\(695\) | −21.4678 | − | 37.1833i | −0.814319 | − | 1.41044i | ||||
\(696\) | −42.2199 | + | 7.36366i | −1.60034 | + | 0.279119i | ||||
\(697\) | −0.722975 | −0.0273846 | ||||||||
\(698\) | −28.7103 | − | 5.24736i | −1.08670 | − | 0.198615i | ||||
\(699\) | 1.30339 | + | 0.449650i | 0.0492987 | + | 0.0170073i | ||||
\(700\) | 11.0661 | − | 29.2622i | 0.418261 | − | 1.10601i | ||||
\(701\) | − | 52.7217i | − | 1.99127i | −0.0933231 | − | 0.995636i | \(-0.529749\pi\) | ||
0.0933231 | − | 0.995636i | \(-0.470251\pi\) | |||||||
\(702\) | −25.2474 | + | 8.03562i | −0.952900 | + | 0.303285i | ||||
\(703\) | 10.9381i | 0.412540i | ||||||||
\(704\) | 26.1052 | + | 0.978018i | 0.983878 | + | 0.0368604i | ||||
\(705\) | −11.4763 | − | 3.95917i | −0.432224 | − | 0.149111i | ||||
\(706\) | −1.16408 | + | 6.36911i | −0.0438106 | + | 0.239704i | ||||
\(707\) | 0.870384 | 0.0327342 | ||||||||
\(708\) | −10.7854 | + | 12.9685i | −0.405339 | + | 0.487386i | ||||
\(709\) | −5.86991 | − | 10.1670i | −0.220449 | − | 0.381829i | 0.734495 | − | 0.678614i | \(-0.237419\pi\) |
−0.954944 | + | 0.296785i | \(0.904086\pi\) | |||||||
\(710\) | 1.28250 | + | 1.08986i | 0.0481313 | + | 0.0409016i | ||||
\(711\) | 24.1879 | − | 30.8841i | 0.907116 | − | 1.15825i | ||||
\(712\) | 16.9522 | + | 30.6745i | 0.635312 | + | 1.14957i | ||||
\(713\) | −1.94195 | − | 1.12118i | −0.0727265 | − | 0.0419887i | ||||
\(714\) | −1.25445 | + | 2.22708i | −0.0469465 | + | 0.0833463i | ||||
\(715\) | −36.2833 | + | 17.0069i | −1.35692 | + | 0.636021i | ||||
\(716\) | −3.25525 | − | 19.9117i | −0.121654 | − | 0.744135i | ||||
\(717\) | −4.35816 | + | 12.6329i | −0.162759 | + | 0.471784i | ||||
\(718\) | −1.77301 | − | 4.96756i | −0.0661683 | − | 0.185388i | ||||
\(719\) | −12.8225 | − | 22.2092i | −0.478197 | − | 0.828262i | 0.521490 | − | 0.853257i | \(-0.325376\pi\) |
−0.999688 | + | 0.0249952i | \(0.992043\pi\) | |||||||
\(720\) | 26.5256 | + | 31.0550i | 0.988552 | + | 1.15735i | ||||
\(721\) | −21.0213 | − | 36.4100i | −0.782876 | − | 1.35598i | ||||
\(722\) | 9.85177 | + | 1.80060i | 0.366645 | + | 0.0670114i | ||||
\(723\) | 18.4801 | − | 3.58089i | 0.687282 | − | 0.133175i | ||||
\(724\) | 15.8729 | − | 12.9848i | 0.589912 | − | 0.482577i | ||||
\(725\) | −49.8777 | − | 28.7969i | −1.85241 | − | 1.06949i | ||||
\(726\) | 0.420154 | + | 0.710194i | 0.0155934 | + | 0.0263578i | ||||
\(727\) | 25.0087i | 0.927521i | 0.885961 | + | 0.463760i | \(0.153500\pi\) | ||||
−0.885961 | + | 0.463760i | \(0.846500\pi\) | |||||||
\(728\) | 14.2284 | − | 19.6131i | 0.527338 | − | 0.726908i | ||||
\(729\) | 11.0688 | − | 24.6268i | 0.409956 | − | 0.912105i | ||||
\(730\) | 26.6385 | − | 9.50775i | 0.985933 | − | 0.351898i | ||||
\(731\) | 0.214337 | − | 0.371243i | 0.00792755 | − | 0.0137309i | ||||
\(732\) | 29.2600 | − | 35.1827i | 1.08148 | − | 1.30039i | ||||
\(733\) | −49.5229 | −1.82917 | −0.914585 | − | 0.404394i | \(-0.867482\pi\) | ||||
−0.914585 | + | 0.404394i | \(0.867482\pi\) | |||||||
\(734\) | −1.16301 | + | 6.36326i | −0.0429274 | + | 0.234872i | ||||
\(735\) | −6.02980 | + | 5.23541i | −0.222413 | + | 0.193111i | ||||
\(736\) | 14.5477 | − | 36.3941i | 0.536236 | − | 1.34150i | ||||
\(737\) | 11.4849 | − | 6.63082i | 0.423052 | − | 0.244249i | ||||
\(738\) | −5.22469 | + | 4.63462i | −0.192323 | + | 0.170603i | ||||
\(739\) | −42.0666 | − | 24.2872i | −1.54745 | − | 0.893418i | −0.998336 | − | 0.0576672i | \(-0.981634\pi\) |
−0.549109 | − | 0.835751i | \(-0.685033\pi\) | |||||||
\(740\) | 21.2842 | − | 3.47963i | 0.782424 | − | 0.127914i | ||||
\(741\) | −19.7079 | − | 8.74158i | −0.723987 | − | 0.321130i | ||||
\(742\) | −12.4267 | + | 14.6233i | −0.456199 | + | 0.536837i | ||||
\(743\) | 19.6550 | − | 34.0435i | 0.721072 | − | 1.24893i | −0.239498 | − | 0.970897i | \(-0.576983\pi\) |
0.960570 | − | 0.278037i | \(-0.0896838\pi\) | |||||||
\(744\) | −1.01689 | − | 1.21646i | −0.0372809 | − | 0.0445976i | ||||
\(745\) | 21.8883 | + | 37.9116i | 0.801925 | + | 1.38897i | ||||
\(746\) | 2.63105 | − | 3.09611i | 0.0963296 | − | 0.113357i | ||||
\(747\) | −3.67438 | − | 2.87770i | −0.134438 | − | 0.105290i | ||||
\(748\) | −1.81613 | − | 2.22008i | −0.0664044 | − | 0.0811743i | ||||
\(749\) | − | 17.9968i | − | 0.657587i | ||||||
\(750\) | 0.140251 | + | 13.2004i | 0.00512123 | + | 0.482012i | ||||
\(751\) | 4.11090 | + | 2.37343i | 0.150009 | + | 0.0866077i | 0.573126 | − | 0.819467i | \(-0.305731\pi\) |
−0.423117 | + | 0.906075i | \(0.639064\pi\) | |||||||
\(752\) | −1.63250 | + | 8.07422i | −0.0595312 | + | 0.294436i | ||||
\(753\) | 30.7445 | − | 5.95737i | 1.12039 | − | 0.217099i | ||||
\(754\) | −31.4075 | − | 31.6761i | −1.14379 | − | 1.15358i | ||||
\(755\) | 31.2799 | 1.13839 | ||||||||
\(756\) | 5.21122 | + | 24.1359i | 0.189530 | + | 0.877815i | ||||
\(757\) | −8.27842 | + | 14.3386i | −0.300884 | + | 0.521147i | −0.976337 | − | 0.216257i | \(-0.930615\pi\) |
0.675452 | + | 0.737404i | \(0.263949\pi\) | |||||||
\(758\) | 8.77933 | − | 48.0350i | 0.318880 | − | 1.74471i | ||||
\(759\) | −38.4718 | + | 7.45470i | −1.39644 | + | 0.270588i | ||||
\(760\) | −0.622205 | + | 33.2274i | −0.0225698 | + | 1.20529i | ||||
\(761\) | −1.78128 | + | 1.02842i | −0.0645713 | + | 0.0372802i | −0.531938 | − | 0.846783i | \(-0.678536\pi\) |
0.467367 | + | 0.884064i | \(0.345203\pi\) | |||||||
\(762\) | 9.94981 | + | 5.60443i | 0.360444 | + | 0.203027i | ||||
\(763\) | 2.53306 | − | 1.46246i | 0.0917029 | − | 0.0529447i | ||||
\(764\) | −39.0981 | − | 14.7858i | −1.41452 | − | 0.534931i | ||||
\(765\) | 0.629311 | − | 4.43990i | 0.0227528 | − | 0.160525i | ||||
\(766\) | −7.39644 | + | 8.70383i | −0.267244 | + | 0.314482i | ||||
\(767\) | −17.4923 | − | 1.49542i | −0.631609 | − | 0.0539964i | ||||
\(768\) | 18.5055 | − | 20.6288i | 0.667760 | − | 0.744377i | ||||
\(769\) | −4.14393 | + | 7.17750i | −0.149434 | + | 0.258827i | −0.931018 | − | 0.364972i | \(-0.881078\pi\) |
0.781584 | + | 0.623799i | \(0.214412\pi\) | |||||||
\(770\) | 12.5532 | + | 35.1711i | 0.452386 | + | 1.26748i | ||||
\(771\) | 20.9353 | − | 18.1772i | 0.753967 | − | 0.654636i | ||||
\(772\) | −4.56001 | − | 27.8927i | −0.164118 | − | 1.00388i | ||||
\(773\) | −25.9732 | + | 14.9956i | −0.934189 | + | 0.539354i | −0.888134 | − | 0.459584i | \(-0.847998\pi\) |
−0.0460553 | + | 0.998939i | \(0.514665\pi\) | |||||||
\(774\) | −0.830911 | − | 4.05685i | −0.0298665 | − | 0.145821i | ||||
\(775\) | − | 2.13069i | − | 0.0765366i | ||||||
\(776\) | −0.104962 | + | 5.60525i | −0.00376791 | + | 0.201217i | ||||
\(777\) | 12.3261 | + | 4.25231i | 0.442195 | + | 0.152551i | ||||
\(778\) | 17.0442 | − | 6.08340i | 0.611066 | − | 0.218101i | ||||
\(779\) | −5.68303 | −0.203616 | ||||||||
\(780\) | −10.7405 | + | 41.1299i | −0.384573 | + | 1.47269i | ||||
\(781\) | −1.14182 | −0.0408577 | ||||||||
\(782\) | −4.05297 | + | 1.44658i | −0.144934 | + | 0.0517295i | ||||
\(783\) | 45.3988 | − | 2.29898i | 1.62242 | − | 0.0821587i | ||||
\(784\) | 4.06259 | + | 3.58549i | 0.145093 | + | 0.128053i | ||||
\(785\) | 19.4553i | 0.694391i | ||||||||
\(786\) | 16.3627 | − | 0.173849i | 0.583639 | − | 0.00620098i | ||||
\(787\) | 14.5480 | − | 8.39932i | 0.518582 | − | 0.299403i | −0.217772 | − | 0.976000i | \(-0.569879\pi\) |
0.736354 | + | 0.676596i | \(0.236546\pi\) | |||||||
\(788\) | 9.90088 | − | 1.61864i | 0.352704 | − | 0.0576616i | ||||
\(789\) | 14.2554 | + | 16.4184i | 0.507505 | + | 0.584511i | ||||
\(790\) | −21.1567 | − | 59.2761i | −0.752722 | − | 2.10895i | ||||
\(791\) | −12.9702 | + | 22.4651i | −0.461168 | + | 0.798767i | ||||
\(792\) | −27.3564 | − | 4.40144i | −0.972067 | − | 0.156398i | ||||
\(793\) | 47.4553 | + | 4.05697i | 1.68519 | + | 0.144067i | ||||
\(794\) | 12.2841 | − | 14.4554i | 0.435946 | − | 0.513004i | ||||
\(795\) | 10.9795 | − | 31.8259i | 0.389401 | − | 1.12875i | ||||
\(796\) | −17.4262 | + | 46.0801i | −0.617655 | + | 1.63327i | ||||
\(797\) | 9.05500 | − | 5.22791i | 0.320745 | − | 0.185182i | −0.330980 | − | 0.943638i | \(-0.607379\pi\) |
0.651724 | + | 0.758456i | \(0.274046\pi\) | |||||||
\(798\) | −9.86072 | + | 17.5062i | −0.349066 | + | 0.619713i | ||||
\(799\) | 0.783290 | − | 0.452233i | 0.0277108 | − | 0.0159988i | ||||
\(800\) | 36.8600 | − | 5.31952i | 1.30320 | − | 0.188073i | ||||
\(801\) | −13.8847 | − | 34.4826i | −0.490593 | − | 1.21838i | ||||
\(802\) | −7.92393 | + | 43.3548i | −0.279804 | + | 1.53091i | ||||
\(803\) | −9.59453 | + | 16.6182i | −0.338584 | + | 0.586444i | ||||
\(804\) | 2.38221 | − | 13.8653i | 0.0840139 | − | 0.488990i | ||||
\(805\) | 56.0286 | 1.97475 | ||||||||
\(806\) | 0.433899 | − | 1.59219i | 0.0152834 | − | 0.0560824i | ||||
\(807\) | −5.68647 | − | 29.3464i | −0.200173 | − | 1.03304i | ||||
\(808\) | 0.501169 | + | 0.906848i | 0.0176311 | + | 0.0319028i | ||||
\(809\) | −24.9906 | − | 14.4283i | −0.878624 | − | 0.507274i | −0.00841945 | − | 0.999965i | \(-0.502680\pi\) |
−0.870204 | + | 0.492691i | \(0.836013\pi\) | |||||||
\(810\) | −23.9141 | − | 36.1198i | −0.840257 | − | 1.26912i | ||||
\(811\) | − | 41.7971i | − | 1.46769i | −0.679315 | − | 0.733847i | \(-0.737723\pi\) | ||
0.679315 | − | 0.733847i | \(-0.262277\pi\) | |||||||
\(812\) | −32.1766 | + | 26.3220i | −1.12918 | + | 0.923722i | ||||
\(813\) | 20.5719 | − | 17.8617i | 0.721488 | − | 0.626436i | ||||
\(814\) | −9.47480 | + | 11.1496i | −0.332092 | + | 0.390792i | ||||
\(815\) | 25.3876 | + | 43.9725i | 0.889287 | + | 1.54029i | ||||
\(816\) | −3.04269 | − | 0.0246438i | −0.106515 | − | 0.000862707i | ||||
\(817\) | 1.68482 | − | 2.91820i | 0.0589445 | − | 0.102095i | ||||
\(818\) | −23.9763 | + | 28.2143i | −0.838310 | + | 0.986490i | ||||
\(819\) | −17.5124 | + | 18.8102i | −0.611933 | + | 0.657282i | ||||
\(820\) | 1.80788 | + | 11.0584i | 0.0631339 | + | 0.386178i | ||||
\(821\) | −2.77218 | − | 1.60052i | −0.0967496 | − | 0.0558584i | 0.450845 | − | 0.892602i | \(-0.351123\pi\) |
−0.547594 | + | 0.836744i | \(0.684456\pi\) | |||||||
\(822\) | 19.9674 | − | 11.8128i | 0.696445 | − | 0.412019i | ||||
\(823\) | 32.1367 | − | 18.5541i | 1.12021 | − | 0.646756i | 0.178759 | − | 0.983893i | \(-0.442792\pi\) |
0.941456 | + | 0.337137i | \(0.109458\pi\) | |||||||
\(824\) | 25.8312 | − | 42.8670i | 0.899874 | − | 1.49334i | ||||
\(825\) | −24.4123 | − | 28.1165i | −0.849927 | − | 0.978891i | ||||
\(826\) | −2.94161 | + | 16.0946i | −0.102352 | + | 0.560004i | ||||
\(827\) | −17.0816 | −0.593987 | −0.296993 | − | 0.954880i | \(-0.595984\pi\) | ||||
−0.296993 | + | 0.954880i | \(0.595984\pi\) | |||||||
\(828\) | −20.0161 | + | 36.4354i | −0.695608 | + | 1.26622i | ||||
\(829\) | 11.3042 | − | 19.5794i | 0.392610 | − | 0.680021i | −0.600183 | − | 0.799863i | \(-0.704906\pi\) |
0.992793 | + | 0.119842i | \(0.0382388\pi\) | |||||||
\(830\) | −7.05224 | + | 2.51707i | −0.244787 | + | 0.0873689i | ||||
\(831\) | 0.903702 | − | 0.175111i | 0.0313491 | − | 0.00607452i | ||||
\(832\) | 28.6274 | + | 3.53119i | 0.992478 | + | 0.122422i | ||||
\(833\) | − | 0.594939i | − | 0.0206134i | ||||||
\(834\) | 26.5954 | − | 15.7339i | 0.920924 | − | 0.544822i | ||||
\(835\) | 51.0834 | + | 29.4930i | 1.76781 | + | 1.02065i | ||||
\(836\) | −14.2759 | − | 17.4512i | −0.493744 | − | 0.603563i | ||||
\(837\) | 0.913423 | + | 1.41199i | 0.0315725 | + | 0.0488056i | ||||
\(838\) | 44.4440 | + | 8.12301i | 1.53529 | + | 0.280605i | ||||
\(839\) | 26.3560 | + | 45.6499i | 0.909910 | + | 1.57601i | 0.814188 | + | 0.580602i | \(0.197183\pi\) |
0.0957218 | + | 0.995408i | \(0.469484\pi\) | |||||||
\(840\) | 37.2017 | + | 13.6186i | 1.28358 | + | 0.469888i | ||||
\(841\) | 23.7655 | + | 41.1631i | 0.819502 | + | 1.41942i | ||||
\(842\) | −4.35948 | − | 12.2142i | −0.150237 | − | 0.420930i | ||||
\(843\) | −2.97835 | − | 1.02749i | −0.102580 | − | 0.0353885i | ||||
\(844\) | 49.5441 | − | 8.09968i | 1.70538 | − | 0.278803i | ||||
\(845\) | −41.5162 | + | 15.2975i | −1.42820 | + | 0.526249i | ||||
\(846\) | 2.76153 | − | 8.28941i | 0.0949433 | − | 0.284996i | ||||
\(847\) | 0.693177 | + | 0.400206i | 0.0238179 | + | 0.0137512i | ||||
\(848\) | −22.3912 | − | 4.52721i | −0.768917 | − | 0.155465i | ||||
\(849\) | 34.1229 | − | 29.6273i | 1.17109 | − | 1.01681i | ||||
\(850\) | −3.11593 | − | 2.64789i | −0.106876 | − | 0.0908220i | ||||
\(851\) | 10.9761 | + | 19.0112i | 0.376257 | + | 0.651696i | ||||
\(852\) | −0.774527 | + | 0.931305i | −0.0265349 | + | 0.0319060i | ||||
\(853\) | −11.6372 | −0.398451 | −0.199225 | − | 0.979954i | \(-0.563843\pi\) | ||||
−0.199225 | + | 0.979954i | \(0.563843\pi\) | |||||||
\(854\) | 7.98038 | − | 43.6637i | 0.273083 | − | 1.49414i | ||||
\(855\) | 4.94678 | − | 34.9004i | 0.169176 | − | 1.19357i | ||||
\(856\) | 18.7507 | − | 10.3626i | 0.640886 | − | 0.354186i | ||||
\(857\) | 35.3115i | 1.20622i | 0.797659 | + | 0.603109i | \(0.206072\pi\) | ||||
−0.797659 | + | 0.603109i | \(0.793928\pi\) | |||||||
\(858\) | −12.5167 | − | 25.9818i | −0.427314 | − | 0.887005i | ||||
\(859\) | 18.0670i | 0.616439i | 0.951315 | + | 0.308220i | \(0.0997332\pi\) | ||||
−0.951315 | + | 0.308220i | \(0.900267\pi\) | |||||||
\(860\) | −6.21442 | − | 2.35012i | −0.211910 | − | 0.0801383i | ||||
\(861\) | −2.20933 | + | 6.40414i | −0.0752939 | + | 0.218252i | ||||
\(862\) | −9.49757 | − | 1.73587i | −0.323489 | − | 0.0591238i | ||||
\(863\) | −52.4103 | −1.78407 | −0.892034 | − | 0.451968i | \(-0.850722\pi\) | ||||
−0.892034 | + | 0.451968i | \(0.850722\pi\) | |||||||
\(864\) | −22.1464 | + | 19.3271i | −0.753437 | + | 0.657520i | ||||
\(865\) | −17.2993 | − | 29.9633i | −0.588195 | − | 1.01878i | ||||
\(866\) | −22.2608 | + | 26.1956i | −0.756452 | + | 0.890162i | ||||
\(867\) | −19.0855 | − | 21.9814i | −0.648176 | − | 0.746528i | ||||
\(868\) | −1.43851 | − | 0.544004i | −0.0488263 | − | 0.0184647i | ||||
\(869\) | 36.9789 | + | 21.3498i | 1.25442 | + | 0.724242i | ||||
\(870\) | 35.7926 | − | 63.5443i | 1.21348 | − | 2.15435i | ||||
\(871\) | 13.2587 | − | 6.21466i | 0.449252 | − | 0.210576i | ||||
\(872\) | 2.98227 | + | 1.79709i | 0.100993 | + | 0.0608571i | ||||
\(873\) | 0.834489 | − | 5.88746i | 0.0282432 | − | 0.199260i | ||||
\(874\) | −31.8588 | + | 11.3710i | −1.07764 | + | 0.384630i | ||||
\(875\) | 6.40256 | + | 11.0896i | 0.216446 | + | 0.374896i | ||||
\(876\) | 7.04609 | + | 19.0981i | 0.238065 | + | 0.645265i | ||||
\(877\) | −26.8382 | − | 46.4851i | −0.906261 | − | 1.56969i | −0.819216 | − | 0.573485i | \(-0.805591\pi\) |
−0.0870445 | − | 0.996204i | \(-0.527742\pi\) | |||||||
\(878\) | 3.74255 | − | 20.4769i | 0.126305 | − | 0.691062i | ||||
\(879\) | −5.08289 | − | 26.2315i | −0.171442 | − | 0.884767i | ||||
\(880\) | −29.4164 | + | 33.3307i | −0.991626 | + | 1.12358i | ||||
\(881\) | 38.9529 | + | 22.4895i | 1.31236 | + | 0.757690i | 0.982486 | − | 0.186336i | \(-0.0596612\pi\) |
0.329872 | + | 0.944026i | \(0.392995\pi\) | |||||||
\(882\) | −3.81385 | − | 4.29942i | −0.128419 | − | 0.144769i | ||||
\(883\) | 25.2476i | 0.849650i | 0.905276 | + | 0.424825i | \(0.139664\pi\) | ||||
−0.905276 | + | 0.424825i | \(0.860336\pi\) | |||||||
\(884\) | −1.78920 | − | 2.61321i | −0.0601773 | − | 0.0878918i | ||||
\(885\) | −5.46033 | − | 28.1794i | −0.183547 | − | 0.947241i | ||||
\(886\) | 0.216619 | + | 0.606915i | 0.00727746 | + | 0.0203897i | ||||
\(887\) | −3.42157 | + | 5.92633i | −0.114885 | + | 0.198987i | −0.917734 | − | 0.397196i | \(-0.869983\pi\) |
0.802849 | + | 0.596183i | \(0.203317\pi\) | |||||||
\(888\) | 2.66692 | + | 15.2909i | 0.0894960 | + | 0.513130i | ||||
\(889\) | 11.0770 | 0.371512 | ||||||||
\(890\) | −58.6688 | − | 10.7229i | −1.96658 | − | 0.359431i | ||||
\(891\) | 28.2314 | + | 8.16711i | 0.945787 | + | 0.273609i | ||||
\(892\) | −6.55071 | + | 1.07094i | −0.219334 | + | 0.0358577i | ||||
\(893\) | 6.15715 | − | 3.55483i | 0.206041 | − | 0.118958i | ||||
\(894\) | −27.1164 | + | 16.0421i | −0.906907 | + | 0.536530i | ||||
\(895\) | 29.7342 | + | 17.1671i | 0.993905 | + | 0.573831i | ||||
\(896\) | 5.81963 | − | 26.2438i | 0.194420 | − | 0.876745i | ||||
\(897\) | −43.0255 | + | 4.58289i | −1.43658 | + | 0.153018i | ||||
\(898\) | −20.1073 | − | 17.0870i | −0.670989 | − | 0.570201i | ||||
\(899\) | −1.41564 | + | 2.45196i | −0.0472141 | + | 0.0817773i | ||||
\(900\) | −39.4921 | + | 0.839276i | −1.31640 | + | 0.0279759i | ||||
\(901\) | 1.25412 | + | 2.17220i | 0.0417808 | + | 0.0723665i | ||||
\(902\) | −5.79287 | − | 4.92273i | −0.192882 | − | 0.163909i | ||||
\(903\) | −2.63349 | − | 3.03309i | −0.0876372 | − | 0.100935i | ||||
\(904\) | −30.8745 | − | 0.578146i | −1.02687 | − | 0.0192288i | ||||
\(905\) | 34.8980i | 1.16005i | ||||||||
\(906\) | 0.239174 | + | 22.5111i | 0.00794601 | + | 0.747882i | ||||
\(907\) | −12.6969 | − | 7.33055i | −0.421593 | − | 0.243407i | 0.274166 | − | 0.961682i | \(-0.411598\pi\) |
−0.695759 | + | 0.718276i | \(0.744932\pi\) | |||||||
\(908\) | 35.6695 | + | 13.4892i | 1.18374 | + | 0.447655i | ||||
\(909\) | −0.410483 | − | 1.01943i | −0.0136149 | − | 0.0338124i | ||||
\(910\) | 10.5024 | + | 39.8738i | 0.348151 | + | 1.32180i | ||||
\(911\) | 10.0500 | 0.332970 | 0.166485 | − | 0.986044i | \(-0.446758\pi\) | ||||
0.166485 | + | 0.986044i | \(0.446758\pi\) | |||||||
\(912\) | −23.9174 | − | 0.193716i | −0.791985 | − | 0.00641457i | ||||
\(913\) | 2.54005 | − | 4.39949i | 0.0840633 | − | 0.145602i | ||||
\(914\) | 30.8125 | + | 5.63159i | 1.01919 | + | 0.186276i | ||||
\(915\) | 14.8135 | + | 76.4488i | 0.489720 | + | 2.52732i | ||||
\(916\) | −41.6414 | + | 34.0647i | −1.37587 | + | 1.12553i | ||||
\(917\) | 13.7462 | − | 7.93635i | 0.453938 | − | 0.262081i | ||||
\(918\) | 3.20006 | + | 0.418946i | 0.105618 | + | 0.0138273i | ||||
\(919\) | −12.5091 | + | 7.22212i | −0.412637 | + | 0.238236i | −0.691922 | − | 0.721972i | \(-0.743236\pi\) |
0.279285 | + | 0.960208i | \(0.409902\pi\) | |||||||
\(920\) | 32.2614 | + | 58.3759i | 1.06363 | + | 1.92460i | ||||
\(921\) | 30.1274 | + | 10.3935i | 0.992733 | + | 0.342478i | ||||
\(922\) | −38.0006 | − | 32.2926i | −1.25148 | − | 1.06350i | ||||
\(923\) | −1.25617 | − | 0.107390i | −0.0413473 | − | 0.00353479i | ||||
\(924\) | −25.2155 | + | 9.30305i | −0.829529 | + | 0.306048i | ||||
\(925\) | −10.4295 | + | 18.0644i | −0.342919 | + | 0.593953i | ||||
\(926\) | −2.77904 | + | 0.991888i | −0.0913248 | + | 0.0325955i | ||||
\(927\) | −32.7311 | + | 41.7925i | −1.07503 | + | 1.37265i | ||||
\(928\) | −45.9521 | − | 18.3683i | −1.50845 | − | 0.602970i | ||||
\(929\) | 0.734614 | − | 0.424129i | 0.0241019 | − | 0.0139152i | −0.487901 | − | 0.872899i | \(-0.662237\pi\) |
0.512003 | + | 0.858984i | \(0.328904\pi\) | |||||||
\(930\) | 2.69795 | − | 0.0286649i | 0.0884693 | − | 0.000939958i | ||||
\(931\) | − | 4.67659i | − | 0.153269i | ||||||
\(932\) | 1.00806 | + | 1.23227i | 0.0330200 | + | 0.0403644i | ||||
\(933\) | 10.6377 | − | 30.8352i | 0.348262 | − | 1.00950i | ||||
\(934\) | 4.81710 | + | 13.4964i | 0.157620 | + | 0.441614i | ||||
\(935\) | 4.88105 | 0.159627 | ||||||||
\(936\) | −29.6819 | − | 7.41511i | −0.970184 | − | 0.242370i | ||||
\(937\) | −36.6383 | −1.19692 | −0.598461 | − | 0.801152i | \(-0.704221\pi\) | ||||
−0.598461 | + | 0.801152i | \(0.704221\pi\) | |||||||
\(938\) | −4.58720 | − | 12.8522i | −0.149777 | − | 0.419640i | ||||
\(939\) | −9.02090 | + | 26.1487i | −0.294386 | + | 0.853329i | ||||
\(940\) | −8.87595 | − | 10.8502i | −0.289502 | − | 0.353893i | ||||
\(941\) | 40.0532i | 1.30570i | 0.757489 | + | 0.652848i | \(0.226426\pi\) | ||||
−0.757489 | + | 0.652848i | \(0.773574\pi\) | |||||||
\(942\) | −14.0014 | + | 0.148760i | −0.456189 | + | 0.00484686i | ||||
\(943\) | −9.87748 | + | 5.70277i | −0.321655 | + | 0.185708i | ||||
\(944\) | −18.4627 | + | 6.20249i | −0.600909 | + | 0.201874i | ||||
\(945\) | −37.4057 | − | 19.1423i | −1.21681 | − | 0.622700i | ||||
\(946\) | 4.24518 | − | 1.51518i | 0.138023 | − | 0.0492629i | ||||
\(947\) | 21.9067 | − | 37.9435i | 0.711873 | − | 1.23300i | −0.252281 | − | 0.967654i | \(-0.581181\pi\) |
0.964153 | − | 0.265345i | \(-0.0854860\pi\) | |||||||
\(948\) | 42.4972 | − | 15.6790i | 1.38025 | − | 0.509230i | ||||
\(949\) | −12.1183 | + | 17.3800i | −0.393376 | + | 0.564178i | ||||
\(950\) | −24.4932 | − | 20.8141i | −0.794663 | − | 0.675298i | ||||
\(951\) | −9.84677 | − | 3.39699i | −0.319303 | − | 0.110155i | ||||
\(952\) | −2.58325 | + | 1.42763i | −0.0837237 | + | 0.0462699i | ||||
\(953\) | −31.3295 | + | 18.0881i | −1.01486 | + | 0.585931i | −0.912612 | − | 0.408828i | \(-0.865938\pi\) |
−0.102251 | + | 0.994759i | \(0.532604\pi\) | |||||||
\(954\) | 22.9880 | + | 7.65820i | 0.744263 | + | 0.247943i | ||||
\(955\) | 61.6030 | − | 35.5665i | 1.99343 | − | 1.15090i | ||||
\(956\) | −11.9436 | + | 9.77045i | −0.386284 | + | 0.315999i | ||||
\(957\) | 9.41251 | + | 48.5756i | 0.304263 | + | 1.57023i | ||||
\(958\) | −55.9470 | − | 10.2254i | −1.80757 | − | 0.330368i | ||||
\(959\) | 11.2520 | − | 19.4890i | 0.363346 | − | 0.629333i | ||||
\(960\) | 7.23165 | + | 46.6019i | 0.233400 | + | 1.50407i | ||||
\(961\) | 30.8953 | 0.996621 | ||||||||
\(962\) | −11.4722 | + | 11.3750i | −0.369880 | + | 0.366744i | ||||
\(963\) | −21.0786 | + | 8.48748i | −0.679248 | + | 0.273505i | ||||
\(964\) | 20.3307 | + | 7.68847i | 0.654807 | + | 0.247629i | ||||
\(965\) | 41.6522 | + | 24.0479i | 1.34083 | + | 0.774130i | ||||
\(966\) | 0.428408 | + | 40.3219i | 0.0137838 | + | 1.29734i | ||||
\(967\) | 32.8181i | 1.05536i | 0.849444 | + | 0.527679i | \(0.176938\pi\) | ||||
−0.849444 | + | 0.527679i | \(0.823062\pi\) | |||||||
\(968\) | −0.0178391 | + | 0.952657i | −0.000573371 | + | 0.0306195i | ||||
\(969\) | 1.72175 | + | 1.98300i | 0.0553105 | + | 0.0637030i | ||||
\(970\) | −7.26986 | − | 6.17786i | −0.233421 | − | 0.198359i | ||||
\(971\) | −9.83311 | − | 17.0315i | −0.315560 | − | 0.546565i | 0.663997 | − | 0.747736i | \(-0.268859\pi\) |
−0.979556 | + | 0.201170i | \(0.935526\pi\) | |||||||
\(972\) | 25.8114 | − | 17.4864i | 0.827900 | − | 0.560876i | ||||
\(973\) | 14.9870 | − | 25.9582i | 0.480460 | − | 0.832181i | ||||
\(974\) | −34.1724 | − | 29.0394i | −1.09496 | − | 0.930484i | ||||
\(975\) | −24.2126 | − | 33.2281i | −0.775423 | − | 1.06415i | ||||
\(976\) | 50.0880 | − | 16.8269i | 1.60328 | − | 0.538617i | ||||
\(977\) | −15.8633 | − | 9.15867i | −0.507511 | − | 0.293012i | 0.224299 | − | 0.974520i | \(-0.427991\pi\) |
−0.731810 | + | 0.681509i | \(0.761324\pi\) | |||||||
\(978\) | −31.4514 | + | 18.6068i | −1.00571 | + | 0.594980i | ||||
\(979\) | 35.0413 | − | 20.2311i | 1.11992 | − | 0.646589i | ||||
\(980\) | −9.10004 | + | 1.48771i | −0.290690 | + | 0.0475232i | ||||
\(981\) | −2.90752 | − | 2.27711i | −0.0928300 | − | 0.0727026i | ||||
\(982\) | 29.4836 | + | 5.38869i | 0.940858 | + | 0.171960i | ||||
\(983\) | 21.2629 | 0.678181 | 0.339090 | − | 0.940754i | \(-0.389881\pi\) | ||||
0.339090 | + | 0.940754i | \(0.389881\pi\) | |||||||
\(984\) | −7.94457 | + | 1.38563i | −0.253264 | + | 0.0441722i | ||||
\(985\) | −8.53613 | + | 14.7850i | −0.271984 | + | 0.471090i | ||||
\(986\) | 1.82649 | + | 5.11739i | 0.0581672 | + | 0.162971i | ||||
\(987\) | −1.61224 | − | 8.32039i | −0.0513183 | − | 0.264841i | ||||
\(988\) | −14.0642 | − | 20.5415i | −0.447443 | − | 0.653511i | ||||
\(989\) | − | 6.76270i | − | 0.215042i | ||||||
\(990\) | 35.2737 | − | 31.2900i | 1.12107 | − | 0.994460i | ||||
\(991\) | 28.6598 | + | 16.5467i | 0.910407 | + | 0.525624i | 0.880562 | − | 0.473931i | \(-0.157165\pi\) |
0.0298451 | + | 0.999555i | \(0.490499\pi\) | |||||||
\(992\) | −0.261504 | − | 1.81202i | −0.00830276 | − | 0.0575315i | ||||
\(993\) | −7.15928 | − | 36.9473i | −0.227193 | − | 1.17249i | ||||
\(994\) | −0.211245 | + | 1.15580i | −0.00670029 | + | 0.0366598i | ||||
\(995\) | −41.9179 | − | 72.6039i | −1.32889 | − | 2.30170i | ||||
\(996\) | −1.86538 | − | 5.05602i | −0.0591067 | − | 0.160206i | ||||
\(997\) | −16.1863 | − | 28.0356i | −0.512627 | − | 0.887896i | −0.999893 | − | 0.0146420i | \(-0.995339\pi\) |
0.487266 | − | 0.873254i | \(-0.337994\pi\) | |||||||
\(998\) | 40.3417 | − | 14.3987i | 1.27700 | − | 0.455783i | ||||
\(999\) | −0.832628 | − | 16.4422i | −0.0263432 | − | 0.520210i |
(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 | 156.2.p.b.35.8 | yes | 40 | |
3.2 | odd | 2 | inner | 156.2.p.b.35.13 | yes | 40 | |
4.3 | odd | 2 | inner | 156.2.p.b.35.2 | ✓ | 40 | |
12.11 | even | 2 | inner | 156.2.p.b.35.19 | yes | 40 | |
13.3 | even | 3 | inner | 156.2.p.b.107.19 | yes | 40 | |
39.29 | odd | 6 | inner | 156.2.p.b.107.2 | yes | 40 | |
52.3 | odd | 6 | inner | 156.2.p.b.107.13 | yes | 40 | |
156.107 | even | 6 | inner | 156.2.p.b.107.8 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.2.p.b.35.2 | ✓ | 40 | 4.3 | odd | 2 | inner | |
156.2.p.b.35.8 | yes | 40 | 1.1 | even | 1 | trivial | |
156.2.p.b.35.13 | yes | 40 | 3.2 | odd | 2 | inner | |
156.2.p.b.35.19 | yes | 40 | 12.11 | even | 2 | inner | |
156.2.p.b.107.2 | yes | 40 | 39.29 | odd | 6 | inner | |
156.2.p.b.107.8 | yes | 40 | 156.107 | even | 6 | inner | |
156.2.p.b.107.13 | yes | 40 | 52.3 | odd | 6 | inner | |
156.2.p.b.107.19 | yes | 40 | 13.3 | even | 3 | inner |