Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 6.18 | ||
Character | \(\chi\) | \(=\) | 475.6 |
Dual form | 475.2.bc.a.396.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.764890 | − | 0.477956i | −0.540859 | − | 0.337966i | 0.231825 | − | 0.972758i | \(-0.425530\pi\) |
−0.772683 | + | 0.634792i | \(0.781086\pi\) | |||||||
\(3\) | −1.97717 | + | 0.566943i | −1.14152 | + | 0.327325i | −0.792548 | − | 0.609809i | \(-0.791246\pi\) |
−0.348969 | + | 0.937134i | \(0.613468\pi\) | |||||||
\(4\) | −0.520128 | − | 1.06642i | −0.260064 | − | 0.533210i | ||||
\(5\) | 0.973170 | + | 2.01319i | 0.435215 | + | 0.900327i | ||||
\(6\) | 1.78329 | + | 0.511350i | 0.728024 | + | 0.208758i | ||||
\(7\) | −2.15040 | + | 3.72461i | −0.812776 | + | 1.40777i | 0.0981372 | + | 0.995173i | \(0.468712\pi\) |
−0.910914 | + | 0.412597i | \(0.864622\pi\) | |||||||
\(8\) | −0.300419 | + | 2.85829i | −0.106214 | + | 1.01056i | ||||
\(9\) | 1.04362 | − | 0.652125i | 0.347873 | − | 0.217375i | ||||
\(10\) | 0.217850 | − | 2.00500i | 0.0688902 | − | 0.634037i | ||||
\(11\) | 3.98869 | − | 4.42989i | 1.20263 | − | 1.33566i | 0.275331 | − | 0.961349i | \(-0.411212\pi\) |
0.927303 | − | 0.374311i | \(-0.122121\pi\) | |||||||
\(12\) | 1.63298 | + | 1.81361i | 0.471401 | + | 0.523543i | ||||
\(13\) | −0.0991372 | − | 2.83892i | −0.0274957 | − | 0.787374i | −0.932330 | − | 0.361609i | \(-0.882227\pi\) |
0.904834 | − | 0.425765i | \(-0.139995\pi\) | |||||||
\(14\) | 3.42502 | − | 1.82112i | 0.915376 | − | 0.486714i | ||||
\(15\) | −3.06548 | − | 3.42868i | −0.791504 | − | 0.885282i | ||||
\(16\) | 0.134960 | − | 0.172741i | 0.0337400 | − | 0.0431853i | ||||
\(17\) | 1.20931 | − | 0.0845630i | 0.293300 | − | 0.0205095i | 0.0776514 | − | 0.996981i | \(-0.475258\pi\) |
0.215649 | + | 0.976471i | \(0.430813\pi\) | |||||||
\(18\) | −1.10994 | −0.261615 | ||||||||
\(19\) | −4.35319 | + | 0.223086i | −0.998689 | + | 0.0511795i | ||||
\(20\) | 1.64074 | − | 2.08493i | 0.366880 | − | 0.466203i | ||||
\(21\) | 2.14006 | − | 8.58333i | 0.467000 | − | 1.87304i | ||||
\(22\) | −5.16820 | + | 1.48196i | −1.10186 | + | 0.315954i | ||||
\(23\) | −7.63695 | + | 1.07330i | −1.59242 | + | 0.223799i | −0.878958 | − | 0.476899i | \(-0.841761\pi\) |
−0.713457 | + | 0.700699i | \(0.752872\pi\) | |||||||
\(24\) | −1.02651 | − | 5.82164i | −0.209536 | − | 1.18834i | ||||
\(25\) | −3.10588 | + | 3.91835i | −0.621176 | + | 0.783671i | ||||
\(26\) | −1.28105 | + | 2.21884i | −0.251234 | + | 0.435151i | ||||
\(27\) | 2.43521 | − | 2.70457i | 0.468656 | − | 0.520495i | ||||
\(28\) | 5.09049 | + | 0.355961i | 0.962011 | + | 0.0672704i | ||||
\(29\) | −3.53587 | − | 0.247252i | −0.656595 | − | 0.0459136i | −0.262427 | − | 0.964952i | \(-0.584523\pi\) |
−0.394168 | + | 0.919038i | \(0.628967\pi\) | |||||||
\(30\) | 0.705997 | + | 4.08773i | 0.128897 | + | 0.746314i | ||||
\(31\) | −2.74225 | + | 1.22093i | −0.492523 | + | 0.219285i | −0.637942 | − | 0.770085i | \(-0.720214\pi\) |
0.145418 | + | 0.989370i | \(0.453547\pi\) | |||||||
\(32\) | 5.21563 | − | 1.89833i | 0.922002 | − | 0.335581i | ||||
\(33\) | −5.37480 | + | 11.0200i | −0.935633 | + | 1.91833i | ||||
\(34\) | −0.965404 | − | 0.513314i | −0.165565 | − | 0.0880327i | ||||
\(35\) | −9.59106 | − | 0.704500i | −1.62119 | − | 0.119082i | ||||
\(36\) | −1.23825 | − | 0.773747i | −0.206376 | − | 0.128958i | ||||
\(37\) | 3.43449 | − | 10.5703i | 0.564627 | − | 1.73774i | −0.104429 | − | 0.994532i | \(-0.533302\pi\) |
0.669056 | − | 0.743212i | \(-0.266698\pi\) | |||||||
\(38\) | 3.43633 | + | 1.91000i | 0.557447 | + | 0.309842i | ||||
\(39\) | 1.80552 | + | 5.55681i | 0.289114 | + | 0.889801i | ||||
\(40\) | −6.04665 | + | 2.17680i | −0.956060 | + | 0.344183i | ||||
\(41\) | 0.198281 | − | 0.253789i | 0.0309663 | − | 0.0396351i | −0.772278 | − | 0.635284i | \(-0.780883\pi\) |
0.803245 | + | 0.595649i | \(0.203105\pi\) | |||||||
\(42\) | −5.73937 | + | 5.54244i | −0.885604 | + | 0.855218i | ||||
\(43\) | 0.329176 | + | 1.86685i | 0.0501988 | + | 0.284692i | 0.999565 | − | 0.0294789i | \(-0.00938477\pi\) |
−0.949367 | + | 0.314170i | \(0.898274\pi\) | |||||||
\(44\) | −6.79875 | − | 1.94951i | −1.02495 | − | 0.293900i | ||||
\(45\) | 2.32847 | + | 1.46637i | 0.347108 | + | 0.218594i | ||||
\(46\) | 6.35442 | + | 2.82917i | 0.936908 | + | 0.417138i | ||||
\(47\) | −7.15568 | − | 0.500374i | −1.04376 | − | 0.0729870i | −0.462432 | − | 0.886655i | \(-0.653023\pi\) |
−0.581331 | + | 0.813667i | \(0.697468\pi\) | |||||||
\(48\) | −0.168904 | + | 0.418052i | −0.0243792 | + | 0.0603407i | ||||
\(49\) | −5.74848 | − | 9.95665i | −0.821211 | − | 1.42238i | ||||
\(50\) | 4.24846 | − | 1.51263i | 0.600823 | − | 0.213919i | ||||
\(51\) | −2.34306 | + | 0.852803i | −0.328094 | + | 0.119416i | ||||
\(52\) | −2.97592 | + | 1.58232i | −0.412685 | + | 0.219429i | ||||
\(53\) | −3.98461 | − | 8.16965i | −0.547328 | − | 1.12219i | −0.975806 | − | 0.218636i | \(-0.929839\pi\) |
0.428479 | − | 0.903552i | \(-0.359050\pi\) | |||||||
\(54\) | −3.15533 | + | 0.904776i | −0.429386 | + | 0.123124i | ||||
\(55\) | 12.7999 | + | 3.71896i | 1.72594 | + | 0.501465i | ||||
\(56\) | −10.0000 | − | 7.26543i | −1.33631 | − | 0.970884i | ||||
\(57\) | 8.48050 | − | 2.90909i | 1.12327 | − | 0.385318i | ||||
\(58\) | 2.58638 | + | 1.87911i | 0.339608 | + | 0.246740i | ||||
\(59\) | −1.57816 | − | 3.90608i | −0.205459 | − | 0.508528i | 0.788910 | − | 0.614509i | \(-0.210646\pi\) |
−0.994368 | + | 0.105982i | \(0.966202\pi\) | |||||||
\(60\) | −2.06197 | + | 5.05245i | −0.266200 | + | 0.652268i | ||||
\(61\) | 7.39401 | − | 1.03916i | 0.946706 | − | 0.133051i | 0.351109 | − | 0.936335i | \(-0.385805\pi\) |
0.595597 | + | 0.803284i | \(0.296916\pi\) | |||||||
\(62\) | 2.68107 | + | 0.376800i | 0.340497 | + | 0.0478537i | ||||
\(63\) | 0.184710 | + | 5.28940i | 0.0232713 | + | 0.666402i | ||||
\(64\) | −5.32555 | − | 1.13198i | −0.665693 | − | 0.141498i | ||||
\(65\) | 5.61881 | − | 2.96233i | 0.696927 | − | 0.367432i | ||||
\(66\) | 9.37820 | − | 5.86015i | 1.15438 | − | 0.721335i | ||||
\(67\) | −1.91366 | − | 7.67528i | −0.233791 | − | 0.937684i | −0.966402 | − | 0.257036i | \(-0.917254\pi\) |
0.732611 | − | 0.680648i | \(-0.238302\pi\) | |||||||
\(68\) | −0.719174 | − | 1.24565i | −0.0872127 | − | 0.151057i | ||||
\(69\) | 14.4910 | − | 6.45182i | 1.74451 | − | 0.776708i | ||||
\(70\) | 6.99938 | + | 5.12297i | 0.836587 | + | 0.612312i | ||||
\(71\) | −4.66991 | − | 4.50968i | −0.554217 | − | 0.535201i | 0.363938 | − | 0.931423i | \(-0.381432\pi\) |
−0.918155 | + | 0.396222i | \(0.870321\pi\) | |||||||
\(72\) | 1.55044 | + | 3.17888i | 0.182721 | + | 0.374634i | ||||
\(73\) | −0.00939811 | + | 0.269127i | −0.00109997 | + | 0.0314989i | −0.999817 | − | 0.0191457i | \(-0.993905\pi\) |
0.998717 | + | 0.0506446i | \(0.0161276\pi\) | |||||||
\(74\) | −7.67914 | + | 6.44356i | −0.892682 | + | 0.749049i | ||||
\(75\) | 3.91936 | − | 9.50810i | 0.452569 | − | 1.09790i | ||||
\(76\) | 2.50212 | + | 4.52629i | 0.287013 | + | 0.519201i | ||||
\(77\) | 7.92230 | + | 24.3823i | 0.902830 | + | 2.77863i | ||||
\(78\) | 1.27489 | − | 5.11330i | 0.144353 | − | 0.578967i | ||||
\(79\) | 0.303289 | − | 0.0869667i | 0.0341227 | − | 0.00978451i | −0.258533 | − | 0.966003i | \(-0.583239\pi\) |
0.292655 | + | 0.956218i | \(0.405461\pi\) | |||||||
\(80\) | 0.479100 | + | 0.103594i | 0.0535650 | + | 0.0115822i | ||||
\(81\) | −4.89986 | + | 10.0462i | −0.544429 | + | 1.11625i | ||||
\(82\) | −0.272963 | + | 0.0993505i | −0.0301437 | + | 0.0109714i | ||||
\(83\) | −2.92849 | + | 1.30385i | −0.321444 | + | 0.143116i | −0.561114 | − | 0.827738i | \(-0.689627\pi\) |
0.239671 | + | 0.970854i | \(0.422961\pi\) | |||||||
\(84\) | −10.2665 | + | 2.18222i | −1.12017 | + | 0.238100i | ||||
\(85\) | 1.34710 | + | 2.35227i | 0.146114 | + | 0.255140i | ||||
\(86\) | 0.640488 | − | 1.58526i | 0.0690656 | − | 0.170943i | ||||
\(87\) | 7.13119 | − | 1.51578i | 0.764544 | − | 0.162509i | ||||
\(88\) | 11.4636 | + | 12.7317i | 1.22203 | + | 1.35720i | ||||
\(89\) | 2.60728 | + | 3.33717i | 0.276371 | + | 0.353739i | 0.906091 | − | 0.423084i | \(-0.139052\pi\) |
−0.629719 | + | 0.776823i | \(0.716830\pi\) | |||||||
\(90\) | −1.08016 | − | 2.23452i | −0.113859 | − | 0.235539i | ||||
\(91\) | 10.7870 | + | 5.73557i | 1.13079 | + | 0.601251i | ||||
\(92\) | 5.11679 | + | 7.58595i | 0.533462 | + | 0.790890i | ||||
\(93\) | 4.72969 | − | 3.96868i | 0.490446 | − | 0.411533i | ||||
\(94\) | 5.23415 | + | 3.80283i | 0.539861 | + | 0.392232i | ||||
\(95\) | −4.68550 | − | 8.54670i | −0.480723 | − | 0.876873i | ||||
\(96\) | −9.23592 | + | 6.71029i | −0.942638 | + | 0.684866i | ||||
\(97\) | 0.0719086 | − | 0.288410i | 0.00730121 | − | 0.0292836i | −0.966535 | − | 0.256536i | \(-0.917419\pi\) |
0.973836 | + | 0.227253i | \(0.0729743\pi\) | |||||||
\(98\) | −0.361893 | + | 10.3633i | −0.0365567 | + | 1.04685i | ||||
\(99\) | 1.27383 | − | 7.22423i | 0.128024 | − | 0.726062i | ||||
\(100\) | 5.79407 | + | 1.27413i | 0.579407 | + | 0.127413i | ||||
\(101\) | 4.79662 | − | 1.74583i | 0.477282 | − | 0.173716i | −0.0921664 | − | 0.995744i | \(-0.529379\pi\) |
0.569448 | + | 0.822027i | \(0.307157\pi\) | |||||||
\(102\) | 2.19978 | + | 0.467579i | 0.217811 | + | 0.0462972i | ||||
\(103\) | 6.17053 | + | 2.74730i | 0.608000 | + | 0.270699i | 0.687556 | − | 0.726131i | \(-0.258684\pi\) |
−0.0795560 | + | 0.996830i | \(0.525350\pi\) | |||||||
\(104\) | 8.14424 | + | 0.569501i | 0.798609 | + | 0.0558442i | ||||
\(105\) | 19.3625 | − | 4.04467i | 1.88959 | − | 0.394720i | ||||
\(106\) | −0.856952 | + | 8.15335i | −0.0832345 | + | 0.791924i | ||||
\(107\) | −4.25452 | + | 7.36904i | −0.411300 | + | 0.712392i | −0.995032 | − | 0.0995542i | \(-0.968258\pi\) |
0.583733 | + | 0.811946i | \(0.301592\pi\) | |||||||
\(108\) | −4.15083 | − | 1.19023i | −0.399414 | − | 0.114530i | ||||
\(109\) | 1.76317 | + | 0.247798i | 0.168881 | + | 0.0237347i | 0.223107 | − | 0.974794i | \(-0.428380\pi\) |
−0.0542255 | + | 0.998529i | \(0.517269\pi\) | |||||||
\(110\) | −8.01300 | − | 8.96238i | −0.764009 | − | 0.854529i | ||||
\(111\) | −0.797813 | + | 22.8464i | −0.0757250 | + | 2.16848i | ||||
\(112\) | 0.353174 | + | 0.874137i | 0.0333718 | + | 0.0825981i | ||||
\(113\) | −3.93450 | + | 12.1091i | −0.370127 | + | 1.13913i | 0.576581 | + | 0.817040i | \(0.304386\pi\) |
−0.946708 | + | 0.322093i | \(0.895614\pi\) | |||||||
\(114\) | −7.87706 | − | 1.82817i | −0.737754 | − | 0.171224i | ||||
\(115\) | −9.59282 | − | 14.3301i | −0.894535 | − | 1.33629i | ||||
\(116\) | 1.57543 | + | 3.89933i | 0.146275 | + | 0.362044i | ||||
\(117\) | −1.95479 | − | 2.89809i | −0.180720 | − | 0.267929i | ||||
\(118\) | −0.659817 | + | 3.74201i | −0.0607411 | + | 0.344480i | ||||
\(119\) | −2.28553 | + | 4.68604i | −0.209515 | + | 0.429569i | ||||
\(120\) | 10.7211 | − | 7.73201i | 0.978699 | − | 0.705833i | ||||
\(121\) | −2.56445 | − | 24.3991i | −0.233132 | − | 2.21810i | ||||
\(122\) | −6.15227 | − | 2.73917i | −0.557001 | − | 0.247993i | ||||
\(123\) | −0.248151 | + | 0.614196i | −0.0223751 | + | 0.0553802i | ||||
\(124\) | 2.72835 | + | 2.28936i | 0.245013 | + | 0.205590i | ||||
\(125\) | −10.9109 | − | 2.43951i | −0.975905 | − | 0.218197i | ||||
\(126\) | 2.38682 | − | 4.13409i | 0.212635 | − | 0.368294i | ||||
\(127\) | −3.66391 | − | 4.68959i | −0.325120 | − | 0.416134i | 0.597486 | − | 0.801880i | \(-0.296167\pi\) |
−0.922605 | + | 0.385745i | \(0.873944\pi\) | |||||||
\(128\) | −4.45277 | − | 4.29999i | −0.393573 | − | 0.380069i | ||||
\(129\) | −1.70923 | − | 3.50444i | −0.150489 | − | 0.308549i | ||||
\(130\) | −5.71363 | − | 0.419688i | −0.501119 | − | 0.0368091i | ||||
\(131\) | −3.08943 | + | 0.216034i | −0.269925 | + | 0.0188750i | −0.204077 | − | 0.978955i | \(-0.565419\pi\) |
−0.0658472 | + | 0.997830i | \(0.520975\pi\) | |||||||
\(132\) | 14.5475 | 1.26620 | ||||||||
\(133\) | 8.53020 | − | 16.6936i | 0.739662 | − | 1.44752i | ||||
\(134\) | −2.20471 | + | 6.78539i | −0.190458 | + | 0.586168i | ||||
\(135\) | 7.81469 | + | 2.27053i | 0.672581 | + | 0.195416i | ||||
\(136\) | −0.121593 | + | 3.48196i | −0.0104265 | + | 0.298575i | ||||
\(137\) | −5.43032 | − | 2.88735i | −0.463944 | − | 0.246683i | 0.221007 | − | 0.975272i | \(-0.429065\pi\) |
−0.684951 | + | 0.728589i | \(0.740177\pi\) | |||||||
\(138\) | −14.1677 | − | 1.99114i | −1.20604 | − | 0.169497i | ||||
\(139\) | −2.08519 | − | 2.66892i | −0.176863 | − | 0.226375i | 0.691408 | − | 0.722465i | \(-0.256991\pi\) |
−0.868271 | + | 0.496090i | \(0.834769\pi\) | |||||||
\(140\) | 4.23729 | + | 10.5945i | 0.358116 | + | 0.895401i | ||||
\(141\) | 14.4317 | − | 3.06754i | 1.21536 | − | 0.258334i | ||||
\(142\) | 1.41654 | + | 5.68143i | 0.118873 | + | 0.476775i | ||||
\(143\) | −12.9715 | − | 10.8844i | −1.08473 | − | 0.910198i | ||||
\(144\) | 0.0281980 | − | 0.268286i | 0.00234984 | − | 0.0223572i | ||||
\(145\) | −2.94324 | − | 7.35901i | −0.244423 | − | 0.611133i | ||||
\(146\) | 0.135819 | − | 0.201360i | 0.0112405 | − | 0.0166647i | ||||
\(147\) | 17.0106 | + | 16.4269i | 1.40301 | + | 1.35487i | ||||
\(148\) | −13.0587 | + | 1.83529i | −1.07342 | + | 0.150860i | ||||
\(149\) | 5.29616 | + | 1.92764i | 0.433878 | + | 0.157919i | 0.549720 | − | 0.835349i | \(-0.314734\pi\) |
−0.115842 | + | 0.993268i | \(0.536957\pi\) | |||||||
\(150\) | −7.54233 | + | 5.39936i | −0.615829 | + | 0.440856i | ||||
\(151\) | 2.05245 | 0.167026 | 0.0835130 | − | 0.996507i | \(-0.473386\pi\) | ||||
0.0835130 | + | 0.996507i | \(0.473386\pi\) | |||||||
\(152\) | 0.670132 | − | 12.5097i | 0.0543549 | − | 1.01467i | ||||
\(153\) | 1.20691 | − | 0.876870i | 0.0975728 | − | 0.0708908i | ||||
\(154\) | 5.59400 | − | 22.4363i | 0.450778 | − | 1.80797i | ||||
\(155\) | −5.12664 | − | 4.33251i | −0.411782 | − | 0.347996i | ||||
\(156\) | 4.98679 | − | 4.81569i | 0.399263 | − | 0.385564i | ||||
\(157\) | 4.18306 | + | 23.7233i | 0.333844 | + | 1.89332i | 0.438357 | + | 0.898801i | \(0.355561\pi\) |
−0.104512 | + | 0.994524i | \(0.533328\pi\) | |||||||
\(158\) | −0.273549 | − | 0.0784389i | −0.0217624 | − | 0.00624026i | ||||
\(159\) | 12.5100 | + | 13.8937i | 0.992104 | + | 1.10184i | ||||
\(160\) | 8.89741 | + | 8.65267i | 0.703402 | + | 0.684053i | ||||
\(161\) | 12.4249 | − | 30.7527i | 0.979219 | − | 2.42365i | ||||
\(162\) | 8.54950 | − | 5.34232i | 0.671712 | − | 0.419732i | ||||
\(163\) | −20.5151 | + | 4.36062i | −1.60687 | + | 0.341550i | −0.922022 | − | 0.387138i | \(-0.873464\pi\) |
−0.684846 | + | 0.728688i | \(0.740130\pi\) | |||||||
\(164\) | −0.373777 | − | 0.0794487i | −0.0291871 | − | 0.00620390i | ||||
\(165\) | −27.4159 | − | 0.0962012i | −2.13433 | − | 0.00748925i | ||||
\(166\) | 2.86315 | + | 0.402390i | 0.222224 | + | 0.0312315i | ||||
\(167\) | −10.3531 | + | 9.99783i | −0.801144 | + | 0.773655i | −0.977559 | − | 0.210660i | \(-0.932439\pi\) |
0.176416 | + | 0.984316i | \(0.443550\pi\) | |||||||
\(168\) | 23.8908 | + | 8.69553i | 1.84321 | + | 0.670874i | ||||
\(169\) | 4.91871 | − | 0.343950i | 0.378362 | − | 0.0264577i | ||||
\(170\) | 0.0938986 | − | 2.44308i | 0.00720169 | − | 0.187376i | ||||
\(171\) | −4.39758 | + | 3.07164i | −0.336292 | + | 0.234894i | ||||
\(172\) | 1.81963 | − | 1.32204i | 0.138746 | − | 0.100805i | ||||
\(173\) | −13.7621 | − | 8.59953i | −1.04631 | − | 0.653810i | −0.106087 | − | 0.994357i | \(-0.533832\pi\) |
−0.940228 | + | 0.340547i | \(0.889388\pi\) | |||||||
\(174\) | −6.17905 | − | 2.24899i | −0.468433 | − | 0.170496i | ||||
\(175\) | −7.91544 | − | 19.9942i | −0.598351 | − | 1.51142i | ||||
\(176\) | −0.226909 | − | 1.28687i | −0.0171039 | − | 0.0970013i | ||||
\(177\) | 5.33480 | + | 6.82824i | 0.400988 | + | 0.513242i | ||||
\(178\) | −0.399263 | − | 3.79873i | −0.0299260 | − | 0.284727i | ||||
\(179\) | −11.5427 | − | 5.13912i | −0.862739 | − | 0.384116i | −0.0728329 | − | 0.997344i | \(-0.523204\pi\) |
−0.789906 | + | 0.613228i | \(0.789871\pi\) | |||||||
\(180\) | 0.352670 | − | 3.24583i | 0.0262865 | − | 0.241930i | ||||
\(181\) | 3.11869 | + | 12.5084i | 0.231810 | + | 0.929741i | 0.967591 | + | 0.252521i | \(0.0812598\pi\) |
−0.735781 | + | 0.677220i | \(0.763185\pi\) | |||||||
\(182\) | −5.50955 | − | 9.54282i | −0.408395 | − | 0.707361i | ||||
\(183\) | −14.0300 | + | 6.24658i | −1.03713 | + | 0.461760i | ||||
\(184\) | −0.773534 | − | 22.1511i | −0.0570256 | − | 1.63300i | ||||
\(185\) | 24.6224 | − | 3.37238i | 1.81027 | − | 0.247943i | ||||
\(186\) | −5.51455 | + | 0.775020i | −0.404347 | + | 0.0568272i | ||||
\(187\) | 4.44894 | − | 5.69439i | 0.325339 | − | 0.416415i | ||||
\(188\) | 3.18826 | + | 7.89122i | 0.232528 | + | 0.575526i | ||||
\(189\) | 4.83679 | + | 14.8861i | 0.351825 | + | 1.08281i | ||||
\(190\) | −0.501053 | + | 8.77675i | −0.0363502 | + | 0.636732i | ||||
\(191\) | −6.76284 | + | 20.8139i | −0.489342 | + | 1.50604i | 0.336250 | + | 0.941773i | \(0.390841\pi\) |
−0.825592 | + | 0.564267i | \(0.809159\pi\) | |||||||
\(192\) | 11.1713 | − | 0.781171i | 0.806216 | − | 0.0563761i | ||||
\(193\) | 0.862593 | + | 0.313958i | 0.0620908 | + | 0.0225992i | 0.372879 | − | 0.927880i | \(-0.378371\pi\) |
−0.310788 | + | 0.950479i | \(0.600593\pi\) | |||||||
\(194\) | −0.192849 | + | 0.186232i | −0.0138458 | + | 0.0133707i | ||||
\(195\) | −9.42984 | + | 9.04256i | −0.675285 | + | 0.647551i | ||||
\(196\) | −7.62804 | + | 11.3090i | −0.544860 | + | 0.807788i | ||||
\(197\) | 0.385412 | + | 3.66695i | 0.0274595 | + | 0.261260i | 0.999635 | + | 0.0270070i | \(0.00859764\pi\) |
−0.972176 | + | 0.234253i | \(0.924736\pi\) | |||||||
\(198\) | −4.42720 | + | 4.91691i | −0.314628 | + | 0.349429i | ||||
\(199\) | 4.26519 | + | 3.57892i | 0.302351 | + | 0.253703i | 0.781322 | − | 0.624128i | \(-0.214546\pi\) |
−0.478971 | + | 0.877831i | \(0.658990\pi\) | |||||||
\(200\) | −10.2667 | − | 10.0547i | −0.725968 | − | 0.710973i | ||||
\(201\) | 8.13507 | + | 14.0904i | 0.573804 | + | 0.993857i | ||||
\(202\) | −4.50332 | − | 0.957209i | −0.316852 | − | 0.0673490i | ||||
\(203\) | 8.52448 | − | 12.6381i | 0.598301 | − | 0.887018i | ||||
\(204\) | 2.12814 | + | 2.05512i | 0.148999 | + | 0.143887i | ||||
\(205\) | 0.703886 | + | 0.152199i | 0.0491616 | + | 0.0106300i | ||||
\(206\) | −3.40669 | − | 5.05062i | −0.237355 | − | 0.351893i | ||||
\(207\) | −7.27013 | + | 6.10037i | −0.505309 | + | 0.424005i | ||||
\(208\) | −0.503777 | − | 0.366015i | −0.0349307 | − | 0.0253786i | ||||
\(209\) | −16.3753 | + | 20.1739i | −1.13270 | + | 1.39546i | ||||
\(210\) | −16.7434 | − | 6.16071i | −1.15540 | − | 0.425130i | ||||
\(211\) | 3.62191 | + | 2.26322i | 0.249342 | + | 0.155806i | 0.648833 | − | 0.760931i | \(-0.275257\pi\) |
−0.399491 | + | 0.916737i | \(0.630813\pi\) | |||||||
\(212\) | −6.63978 | + | 8.49853i | −0.456022 | + | 0.583681i | ||||
\(213\) | 11.7899 | + | 6.26882i | 0.807833 | + | 0.429532i | ||||
\(214\) | 6.77631 | − | 3.60303i | 0.463219 | − | 0.246298i | ||||
\(215\) | −3.43798 | + | 2.47945i | −0.234468 | + | 0.169097i | ||||
\(216\) | 6.99887 | + | 7.77304i | 0.476213 | + | 0.528888i | ||||
\(217\) | 1.34947 | − | 12.8393i | 0.0916078 | − | 0.871590i | ||||
\(218\) | −1.23020 | − | 1.03226i | −0.0833194 | − | 0.0699133i | ||||
\(219\) | −0.133998 | − | 0.537436i | −0.00905474 | − | 0.0363166i | ||||
\(220\) | −2.69160 | − | 15.5844i | −0.181467 | − | 1.05070i | ||||
\(221\) | −0.359955 | − | 3.42474i | −0.0242132 | − | 0.230373i | ||||
\(222\) | 11.5298 | − | 17.0936i | 0.773830 | − | 1.14725i | ||||
\(223\) | 21.4696 | − | 11.4156i | 1.43771 | − | 0.764443i | 0.446256 | − | 0.894906i | \(-0.352757\pi\) |
0.991453 | + | 0.130462i | \(0.0416461\pi\) | |||||||
\(224\) | −4.14516 | + | 23.5084i | −0.276960 | + | 1.57072i | ||||
\(225\) | −0.686098 | + | 6.11469i | −0.0457399 | + | 0.407646i | ||||
\(226\) | 8.79710 | − | 7.38165i | 0.585175 | − | 0.491020i | ||||
\(227\) | −6.20994 | − | 19.1122i | −0.412168 | − | 1.26852i | −0.914760 | − | 0.403999i | \(-0.867620\pi\) |
0.502591 | − | 0.864524i | \(-0.332380\pi\) | |||||||
\(228\) | −7.51326 | − | 7.53068i | −0.497577 | − | 0.498731i | ||||
\(229\) | −3.44951 | + | 2.50621i | −0.227950 | + | 0.165615i | −0.695898 | − | 0.718141i | \(-0.744993\pi\) |
0.467948 | + | 0.883756i | \(0.344993\pi\) | |||||||
\(230\) | 0.488266 | + | 15.5459i | 0.0321953 | + | 1.02507i | ||||
\(231\) | −29.4871 | − | 43.7165i | −1.94011 | − | 2.87633i | ||||
\(232\) | 1.76896 | − | 10.0323i | 0.116138 | − | 0.658652i | ||||
\(233\) | 7.63743 | − | 15.6590i | 0.500344 | − | 1.02586i | −0.487889 | − | 0.872906i | \(-0.662233\pi\) |
0.988234 | − | 0.152952i | \(-0.0488781\pi\) | |||||||
\(234\) | 0.110036 | + | 3.15103i | 0.00719330 | + | 0.205989i | ||||
\(235\) | −5.95634 | − | 14.8927i | −0.388549 | − | 0.971493i | ||||
\(236\) | −3.34468 | + | 3.71464i | −0.217720 | + | 0.241802i | ||||
\(237\) | −0.550347 | + | 0.343895i | −0.0357489 | + | 0.0223384i | ||||
\(238\) | 3.98790 | − | 2.49192i | 0.258497 | − | 0.161527i | ||||
\(239\) | −20.3929 | + | 22.6486i | −1.31911 | + | 1.46502i | −0.534277 | + | 0.845310i | \(0.679416\pi\) |
−0.784832 | + | 0.619709i | \(0.787251\pi\) | |||||||
\(240\) | −1.00599 | + | 0.0667995i | −0.0649365 | + | 0.00431189i | ||||
\(241\) | −0.838822 | − | 24.0207i | −0.0540333 | − | 1.54731i | −0.659661 | − | 0.751563i | \(-0.729300\pi\) |
0.605628 | − | 0.795748i | \(-0.292922\pi\) | |||||||
\(242\) | −9.70019 | + | 19.8883i | −0.623552 | + | 1.27847i | ||||
\(243\) | 2.09631 | − | 11.8888i | 0.134478 | − | 0.762665i | ||||
\(244\) | −4.95401 | − | 7.34462i | −0.317148 | − | 0.470191i | ||||
\(245\) | 14.4504 | − | 21.2623i | 0.923203 | − | 1.35840i | ||||
\(246\) | 0.483368 | − | 0.351187i | 0.0308184 | − | 0.0223909i | ||||
\(247\) | 1.06489 | + | 12.3362i | 0.0677571 | + | 0.784935i | ||||
\(248\) | −2.66595 | − | 8.20496i | −0.169288 | − | 0.521015i | ||||
\(249\) | 5.05090 | − | 4.23821i | 0.320088 | − | 0.268586i | ||||
\(250\) | 7.17969 | + | 7.08091i | 0.454084 | + | 0.447836i | ||||
\(251\) | −0.346370 | + | 1.96436i | −0.0218627 | + | 0.123989i | −0.993786 | − | 0.111309i | \(-0.964496\pi\) |
0.971923 | + | 0.235298i | \(0.0756067\pi\) | |||||||
\(252\) | 5.54465 | − | 2.94814i | 0.349280 | − | 0.185716i | ||||
\(253\) | −25.7068 | + | 38.1119i | −1.61617 | + | 2.39608i | ||||
\(254\) | 0.561069 | + | 5.33821i | 0.0352046 | + | 0.334949i | ||||
\(255\) | −3.99705 | − | 3.88710i | −0.250305 | − | 0.243420i | ||||
\(256\) | 3.98497 | + | 15.9828i | 0.249061 | + | 0.998928i | ||||
\(257\) | 3.14711 | + | 2.64074i | 0.196311 | + | 0.164725i | 0.735645 | − | 0.677368i | \(-0.236879\pi\) |
−0.539333 | + | 0.842092i | \(0.681324\pi\) | |||||||
\(258\) | −0.367597 | + | 3.49745i | −0.0228856 | + | 0.217742i | ||||
\(259\) | 31.9846 | + | 35.5225i | 1.98743 | + | 2.20726i | ||||
\(260\) | −6.08159 | − | 4.45122i | −0.377164 | − | 0.276053i | ||||
\(261\) | −3.85134 | + | 2.04779i | −0.238392 | + | 0.126755i | ||||
\(262\) | 2.46633 | + | 1.31137i | 0.152370 | + | 0.0810167i | ||||
\(263\) | 7.72661 | − | 9.88960i | 0.476443 | − | 0.609819i | −0.488409 | − | 0.872615i | \(-0.662422\pi\) |
0.964851 | + | 0.262796i | \(0.0846446\pi\) | |||||||
\(264\) | −29.8836 | − | 18.6734i | −1.83921 | − | 1.14927i | ||||
\(265\) | 12.5694 | − | 15.9722i | 0.772131 | − | 0.981167i | ||||
\(266\) | −14.5035 | + | 8.69174i | −0.889266 | + | 0.532925i | ||||
\(267\) | −7.04701 | − | 5.11995i | −0.431270 | − | 0.313336i | ||||
\(268\) | −7.18972 | + | 6.03289i | −0.439182 | + | 0.368518i | ||||
\(269\) | −11.5429 | − | 17.1131i | −0.703786 | − | 1.04341i | −0.996198 | − | 0.0871132i | \(-0.972236\pi\) |
0.292413 | − | 0.956292i | \(-0.405542\pi\) | |||||||
\(270\) | −4.89216 | − | 5.47178i | −0.297727 | − | 0.333002i | ||||
\(271\) | −0.502536 | − | 0.485293i | −0.0305269 | − | 0.0294794i | 0.679239 | − | 0.733918i | \(-0.262310\pi\) |
−0.709765 | + | 0.704438i | \(0.751199\pi\) | |||||||
\(272\) | 0.148601 | − | 0.220310i | 0.00901024 | − | 0.0133582i | ||||
\(273\) | −24.5795 | − | 5.22454i | −1.48762 | − | 0.316203i | ||||
\(274\) | 2.77357 | + | 4.80397i | 0.167558 | + | 0.290218i | ||||
\(275\) | 4.96947 | + | 29.3878i | 0.299670 | + | 1.77215i | ||||
\(276\) | −14.4175 | − | 12.0978i | −0.867834 | − | 0.728199i | ||||
\(277\) | −19.7874 | + | 21.9762i | −1.18891 | + | 1.32042i | −0.253302 | + | 0.967387i | \(0.581517\pi\) |
−0.935611 | + | 0.353034i | \(0.885150\pi\) | |||||||
\(278\) | 0.319313 | + | 3.03806i | 0.0191511 | + | 0.182211i | ||||
\(279\) | −2.06567 | + | 3.06248i | −0.123668 | + | 0.183346i | ||||
\(280\) | 4.89500 | − | 27.2024i | 0.292532 | − | 1.62566i | ||||
\(281\) | 5.57338 | − | 5.38215i | 0.332480 | − | 0.321072i | −0.509614 | − | 0.860403i | \(-0.670212\pi\) |
0.842094 | + | 0.539331i | \(0.181323\pi\) | |||||||
\(282\) | −12.5048 | − | 4.55137i | −0.744648 | − | 0.271030i | ||||
\(283\) | 6.42375 | − | 0.449192i | 0.381852 | − | 0.0267017i | 0.122459 | − | 0.992474i | \(-0.460922\pi\) |
0.259393 | + | 0.965772i | \(0.416478\pi\) | |||||||
\(284\) | −2.38027 | + | 7.32570i | −0.141243 | + | 0.434701i | ||||
\(285\) | 14.1095 | + | 14.2418i | 0.835776 | + | 0.843613i | ||||
\(286\) | 4.71951 | + | 14.5252i | 0.279071 | + | 0.858891i | ||||
\(287\) | 0.518878 | + | 1.28427i | 0.0306284 | + | 0.0758080i | ||||
\(288\) | 4.20518 | − | 5.38238i | 0.247792 | − | 0.317160i | ||||
\(289\) | −15.3793 | + | 2.16142i | −0.904664 | + | 0.127142i | ||||
\(290\) | −1.26603 | + | 7.03557i | −0.0743439 | + | 0.413143i | ||||
\(291\) | 0.0213367 | + | 0.611002i | 0.00125078 | + | 0.0358176i | ||||
\(292\) | 0.291890 | − | 0.129958i | 0.0170816 | − | 0.00760521i | ||||
\(293\) | 14.2654 | + | 24.7083i | 0.833391 | + | 1.44348i | 0.895334 | + | 0.445395i | \(0.146937\pi\) |
−0.0619433 | + | 0.998080i | \(0.519730\pi\) | |||||||
\(294\) | −5.15986 | − | 20.6951i | −0.300929 | − | 1.20696i | ||||
\(295\) | 6.32787 | − | 6.97841i | 0.368423 | − | 0.406299i | ||||
\(296\) | 29.1812 | + | 12.9923i | 1.69612 | + | 0.755162i | ||||
\(297\) | −2.26766 | − | 21.5754i | −0.131583 | − | 1.25193i | ||||
\(298\) | −3.12965 | − | 4.00576i | −0.181296 | − | 0.232048i | ||||
\(299\) | 3.80413 | + | 21.5743i | 0.219998 | + | 1.24767i | ||||
\(300\) | −12.1782 | + | 0.765740i | −0.703109 | + | 0.0442100i | ||||
\(301\) | −7.66114 | − | 2.78843i | −0.441581 | − | 0.160722i | ||||
\(302\) | −1.56990 | − | 0.980981i | −0.0903374 | − | 0.0564491i | ||||
\(303\) | −8.49393 | + | 6.17120i | −0.487964 | + | 0.354526i | ||||
\(304\) | −0.548970 | + | 0.782082i | −0.0314856 | + | 0.0448555i | ||||
\(305\) | 9.28765 | + | 13.8743i | 0.531809 | + | 0.794439i | ||||
\(306\) | −1.34226 | + | 0.0938598i | −0.0767317 | + | 0.00536561i | ||||
\(307\) | 17.0048 | + | 6.18924i | 0.970514 | + | 0.353238i | 0.778145 | − | 0.628084i | \(-0.216161\pi\) |
0.192369 | + | 0.981323i | \(0.438383\pi\) | |||||||
\(308\) | 21.8812 | − | 21.1304i | 1.24680 | − | 1.20402i | ||||
\(309\) | −13.7577 | − | 1.93352i | −0.782649 | − | 0.109994i | ||||
\(310\) | 1.85057 | + | 5.76420i | 0.105105 | + | 0.327385i | ||||
\(311\) | −20.4690 | − | 4.35081i | −1.16069 | − | 0.246712i | −0.412981 | − | 0.910740i | \(-0.635512\pi\) |
−0.747708 | + | 0.664028i | \(0.768846\pi\) | |||||||
\(312\) | −16.4254 | + | 3.49133i | −0.929905 | + | 0.197657i | ||||
\(313\) | 19.0007 | − | 11.8730i | 1.07399 | − | 0.671101i | 0.126846 | − | 0.991922i | \(-0.459515\pi\) |
0.947140 | + | 0.320822i | \(0.103959\pi\) | |||||||
\(314\) | 8.13912 | − | 20.1450i | 0.459317 | − | 1.13685i | ||||
\(315\) | −10.4688 | + | 5.51934i | −0.589851 | + | 0.310980i | ||||
\(316\) | −0.250492 | − | 0.278200i | −0.0140913 | − | 0.0156500i | ||||
\(317\) | −15.4246 | − | 4.42293i | −0.866331 | − | 0.248417i | −0.187100 | − | 0.982341i | \(-0.559909\pi\) |
−0.679231 | + | 0.733924i | \(0.737687\pi\) | |||||||
\(318\) | −2.92815 | − | 16.6064i | −0.164203 | − | 0.931239i | ||||
\(319\) | −15.1988 | + | 14.6773i | −0.850969 | + | 0.821771i | ||||
\(320\) | −2.90377 | − | 11.8230i | −0.162326 | − | 0.660923i | ||||
\(321\) | 4.23406 | − | 16.9819i | 0.236322 | − | 0.947836i | ||||
\(322\) | −24.2021 | + | 17.5839i | −1.34873 | + | 0.979911i | ||||
\(323\) | −5.24547 | + | 0.637898i | −0.291866 | + | 0.0354936i | ||||
\(324\) | 13.2620 | 0.736780 | ||||||||
\(325\) | 11.4318 | + | 8.42889i | 0.634122 | + | 0.467551i | ||||
\(326\) | 17.7760 | + | 6.46993i | 0.984521 | + | 0.358336i | ||||
\(327\) | −3.62657 | + | 0.509682i | −0.200550 | + | 0.0281855i | ||||
\(328\) | 0.665835 | + | 0.642989i | 0.0367646 | + | 0.0355031i | ||||
\(329\) | 17.2513 | − | 25.5761i | 0.951095 | − | 1.41006i | ||||
\(330\) | 20.9242 | + | 13.1772i | 1.15184 | + | 0.725381i | ||||
\(331\) | −2.02917 | + | 19.3063i | −0.111533 | + | 1.06117i | 0.785395 | + | 0.618995i | \(0.212460\pi\) |
−0.896929 | + | 0.442175i | \(0.854207\pi\) | |||||||
\(332\) | 2.91364 | + | 2.44483i | 0.159907 | + | 0.134178i | ||||
\(333\) | −3.30884 | − | 13.2711i | −0.181324 | − | 0.727249i | ||||
\(334\) | 12.6975 | − | 2.69893i | 0.694775 | − | 0.147679i | ||||
\(335\) | 13.5895 | − | 11.3219i | 0.742473 | − | 0.618582i | ||||
\(336\) | −1.19387 | − | 1.52808i | −0.0651309 | − | 0.0833638i | ||||
\(337\) | −34.1595 | − | 4.80081i | −1.86079 | − | 0.261517i | −0.882735 | − | 0.469871i | \(-0.844300\pi\) |
−0.978053 | + | 0.208355i | \(0.933189\pi\) | |||||||
\(338\) | −3.92666 | − | 2.08784i | −0.213582 | − | 0.113564i | ||||
\(339\) | 0.913962 | − | 26.1724i | 0.0496396 | − | 1.42149i | ||||
\(340\) | 1.80785 | − | 2.66006i | 0.0980442 | − | 0.144262i | ||||
\(341\) | −5.52941 | + | 17.0178i | −0.299434 | + | 0.921564i | ||||
\(342\) | 4.83177 | − | 0.247612i | 0.261272 | − | 0.0133893i | ||||
\(343\) | 19.3405 | 1.04429 | ||||||||
\(344\) | −5.43489 | + | 0.380044i | −0.293030 | + | 0.0204906i | ||||
\(345\) | 27.0910 | + | 22.8945i | 1.45853 | + | 1.23260i | ||||
\(346\) | 6.41631 | + | 13.1554i | 0.344943 | + | 0.707238i | ||||
\(347\) | −16.3708 | − | 15.8091i | −0.878830 | − | 0.848677i | 0.110573 | − | 0.993868i | \(-0.464731\pi\) |
−0.989404 | + | 0.145191i | \(0.953620\pi\) | |||||||
\(348\) | −5.32559 | − | 6.81645i | −0.285482 | − | 0.365400i | ||||
\(349\) | 6.31164 | − | 10.9321i | 0.337855 | − | 0.585181i | −0.646174 | − | 0.763190i | \(-0.723632\pi\) |
0.984029 | + | 0.178009i | \(0.0569655\pi\) | |||||||
\(350\) | −3.50194 | + | 19.0766i | −0.187186 | + | 1.01969i | ||||
\(351\) | −7.91947 | − | 6.64522i | −0.422710 | − | 0.354696i | ||||
\(352\) | 12.3941 | − | 30.6765i | 0.660609 | − | 1.63506i | ||||
\(353\) | 4.90042 | + | 2.18181i | 0.260823 | + | 0.116126i | 0.532983 | − | 0.846126i | \(-0.321071\pi\) |
−0.272159 | + | 0.962252i | \(0.587738\pi\) | |||||||
\(354\) | −0.816939 | − | 7.77265i | −0.0434198 | − | 0.413112i | ||||
\(355\) | 4.53424 | − | 13.7901i | 0.240652 | − | 0.731904i | ||||
\(356\) | 2.20270 | − | 4.51621i | 0.116743 | − | 0.239359i | ||||
\(357\) | 1.86216 | − | 10.5608i | 0.0985561 | − | 0.558939i | ||||
\(358\) | 6.37259 | + | 9.44775i | 0.336802 | + | 0.499329i | ||||
\(359\) | 4.49255 | + | 11.1194i | 0.237108 | + | 0.586862i | 0.998081 | − | 0.0619210i | \(-0.0197227\pi\) |
−0.760973 | + | 0.648783i | \(0.775278\pi\) | |||||||
\(360\) | −4.89085 | + | 6.21492i | −0.257770 | + | 0.327555i | ||||
\(361\) | 18.9005 | − | 1.94227i | 0.994761 | − | 0.102225i | ||||
\(362\) | 3.59301 | − | 11.0581i | 0.188844 | − | 0.581203i | ||||
\(363\) | 18.9033 | + | 46.7872i | 0.992164 | + | 2.45569i | ||||
\(364\) | 0.505889 | − | 14.4868i | 0.0265158 | − | 0.759312i | ||||
\(365\) | −0.550949 | + | 0.242986i | −0.0288380 | + | 0.0127184i | ||||
\(366\) | 13.7170 | + | 1.92780i | 0.717000 | + | 0.100768i | ||||
\(367\) | 12.3119 | + | 3.53037i | 0.642675 | + | 0.184284i | 0.581118 | − | 0.813820i | \(-0.302616\pi\) |
0.0615571 | + | 0.998104i | \(0.480393\pi\) | |||||||
\(368\) | −0.845280 | + | 1.46407i | −0.0440633 | + | 0.0763199i | ||||
\(369\) | 0.0414281 | − | 0.394162i | 0.00215666 | − | 0.0205193i | ||||
\(370\) | −20.4452 | − | 9.18890i | −1.06290 | − | 0.477708i | ||||
\(371\) | 38.9973 | + | 2.72696i | 2.02464 | + | 0.141576i | ||||
\(372\) | −6.69233 | − | 2.97962i | −0.346981 | − | 0.154486i | ||||
\(373\) | −22.2718 | − | 4.73401i | −1.15319 | − | 0.245118i | −0.408647 | − | 0.912693i | \(-0.633999\pi\) |
−0.744543 | + | 0.667575i | \(0.767332\pi\) | |||||||
\(374\) | −6.12462 | + | 2.22918i | −0.316696 | + | 0.115268i | ||||
\(375\) | 22.9558 | − | 1.36256i | 1.18543 | − | 0.0703625i | ||||
\(376\) | 3.57992 | − | 20.3027i | 0.184620 | − | 1.04703i | ||||
\(377\) | −0.351393 | + | 10.0626i | −0.0180976 | + | 0.518248i | ||||
\(378\) | 3.41530 | − | 13.6980i | 0.175664 | − | 0.704550i | ||||
\(379\) | 4.66316 | − | 3.38798i | 0.239530 | − | 0.174029i | −0.461544 | − | 0.887117i | \(-0.652704\pi\) |
0.701074 | + | 0.713089i | \(0.252704\pi\) | |||||||
\(380\) | −6.67731 | + | 9.44209i | −0.342539 | + | 0.484369i | ||||
\(381\) | 9.90290 | + | 7.19488i | 0.507341 | + | 0.368605i | ||||
\(382\) | 15.1210 | − | 12.6880i | 0.773655 | − | 0.649174i | ||||
\(383\) | −6.36801 | − | 9.44096i | −0.325390 | − | 0.482411i | 0.630478 | − | 0.776207i | \(-0.282859\pi\) |
−0.955868 | + | 0.293796i | \(0.905081\pi\) | |||||||
\(384\) | 11.2417 | + | 5.97733i | 0.573676 | + | 0.305029i | ||||
\(385\) | −41.3766 | + | 39.6773i | −2.10875 | + | 2.02214i | ||||
\(386\) | −0.509730 | − | 0.652425i | −0.0259446 | − | 0.0332076i | ||||
\(387\) | 1.56095 | + | 1.73361i | 0.0793476 | + | 0.0881244i | ||||
\(388\) | −0.344968 | + | 0.0733251i | −0.0175131 | + | 0.00372252i | ||||
\(389\) | 7.48672 | − | 18.5303i | 0.379592 | − | 0.939522i | −0.609575 | − | 0.792728i | \(-0.708660\pi\) |
0.989167 | − | 0.146794i | \(-0.0468955\pi\) | |||||||
\(390\) | 11.5347 | − | 2.40951i | 0.584084 | − | 0.122010i | ||||
\(391\) | −9.14466 | + | 1.94376i | −0.462465 | + | 0.0983000i | ||||
\(392\) | 30.1860 | − | 13.4397i | 1.52462 | − | 0.678806i | ||||
\(393\) | 5.98584 | − | 2.17867i | 0.301945 | − | 0.109899i | ||||
\(394\) | 1.45785 | − | 2.98903i | 0.0734452 | − | 0.150585i | ||||
\(395\) | 0.470232 | + | 0.525945i | 0.0236599 | + | 0.0264632i | ||||
\(396\) | −8.36662 | + | 2.39909i | −0.420438 | + | 0.120559i | ||||
\(397\) | −5.66584 | + | 22.7244i | −0.284360 | + | 1.14051i | 0.642858 | + | 0.765985i | \(0.277749\pi\) |
−0.927218 | + | 0.374521i | \(0.877807\pi\) | |||||||
\(398\) | −1.55183 | − | 4.77605i | −0.0777864 | − | 0.239402i | ||||
\(399\) | −7.40128 | + | 37.8423i | −0.370527 | + | 1.89448i | ||||
\(400\) | 0.257690 | + | 1.06533i | 0.0128845 | + | 0.0532667i | ||||
\(401\) | −29.2796 | + | 24.5685i | −1.46215 | + | 1.22689i | −0.539091 | + | 0.842248i | \(0.681232\pi\) |
−0.923064 | + | 0.384646i | \(0.874324\pi\) | |||||||
\(402\) | 0.512140 | − | 14.6658i | 0.0255432 | − | 0.731463i | ||||
\(403\) | 3.73798 | + | 7.66399i | 0.186202 | + | 0.381771i | ||||
\(404\) | −4.35664 | − | 4.20716i | −0.216751 | − | 0.209314i | ||||
\(405\) | −24.9933 | − | 0.0877005i | −1.24193 | − | 0.00435787i | ||||
\(406\) | −12.5607 | + | 5.59239i | −0.623378 | + | 0.277546i | ||||
\(407\) | −33.1260 | − | 57.3760i | −1.64200 | − | 2.84402i | ||||
\(408\) | −1.73366 | − | 6.95335i | −0.0858292 | − | 0.344242i | ||||
\(409\) | −17.7956 | + | 11.1199i | −0.879937 | + | 0.549846i | −0.892994 | − | 0.450069i | \(-0.851399\pi\) |
0.0130565 | + | 0.999915i | \(0.495844\pi\) | |||||||
\(410\) | −0.465651 | − | 0.452842i | −0.0229969 | − | 0.0223643i | ||||
\(411\) | 12.3736 | + | 2.63009i | 0.610346 | + | 0.129733i | ||||
\(412\) | −0.279692 | − | 8.00932i | −0.0137794 | − | 0.394591i | ||||
\(413\) | 17.9423 | + | 2.52162i | 0.882882 | + | 0.124081i | ||||
\(414\) | 8.47656 | − | 1.19130i | 0.416600 | − | 0.0585493i | ||||
\(415\) | −5.47481 | − | 4.62675i | −0.268748 | − | 0.227118i | ||||
\(416\) | −5.90628 | − | 14.6186i | −0.289579 | − | 0.716734i | ||||
\(417\) | 5.63589 | + | 4.09472i | 0.275991 | + | 0.200519i | ||||
\(418\) | 22.1675 | − | 7.60419i | 1.08425 | − | 0.371933i | ||||
\(419\) | 4.97166 | + | 3.61212i | 0.242881 | + | 0.176464i | 0.702566 | − | 0.711619i | \(-0.252038\pi\) |
−0.459685 | + | 0.888082i | \(0.652038\pi\) | |||||||
\(420\) | −14.3843 | − | 18.5449i | −0.701883 | − | 0.904896i | ||||
\(421\) | −3.03154 | + | 0.869279i | −0.147748 | + | 0.0423661i | −0.348696 | − | 0.937236i | \(-0.613375\pi\) |
0.200948 | + | 0.979602i | \(0.435598\pi\) | |||||||
\(422\) | −1.68864 | − | 3.46222i | −0.0822017 | − | 0.168538i | ||||
\(423\) | −7.79410 | + | 4.14420i | −0.378962 | + | 0.201498i | ||||
\(424\) | 24.5483 | − | 8.93486i | 1.19217 | − | 0.433915i | ||||
\(425\) | −3.42462 | + | 5.00113i | −0.166118 | + | 0.242591i | ||||
\(426\) | −6.02178 | − | 10.4300i | −0.291756 | − | 0.505336i | ||||
\(427\) | −12.0296 | + | 29.7744i | −0.582155 | + | 1.44088i | ||||
\(428\) | 10.0714 | + | 0.704260i | 0.486819 | + | 0.0340417i | ||||
\(429\) | 31.8177 | + | 14.1661i | 1.53617 | + | 0.683947i | ||||
\(430\) | 3.81474 | − | 0.253305i | 0.183963 | − | 0.0122155i | ||||
\(431\) | 22.1643 | + | 6.35552i | 1.06762 | + | 0.306135i | 0.763039 | − | 0.646352i | \(-0.223706\pi\) |
0.304580 | + | 0.952487i | \(0.401484\pi\) | |||||||
\(432\) | −0.138535 | − | 0.785669i | −0.00666525 | − | 0.0378005i | ||||
\(433\) | −2.02127 | + | 1.95192i | −0.0971362 | + | 0.0938034i | −0.741641 | − | 0.670797i | \(-0.765952\pi\) |
0.644505 | + | 0.764600i | \(0.277063\pi\) | |||||||
\(434\) | −7.16882 | + | 9.17568i | −0.344115 | + | 0.440447i | ||||
\(435\) | 9.99141 | + | 12.8813i | 0.479052 | + | 0.617613i | ||||
\(436\) | −0.652819 | − | 2.00917i | −0.0312644 | − | 0.0962218i | ||||
\(437\) | 33.0056 | − | 6.37599i | 1.57887 | − | 0.305005i | ||||
\(438\) | −0.154377 | + | 0.475125i | −0.00737643 | + | 0.0227023i | ||||
\(439\) | 20.8303 | + | 13.0162i | 0.994175 | + | 0.621230i | 0.926428 | − | 0.376473i | \(-0.122863\pi\) |
0.0677477 | + | 0.997702i | \(0.478419\pi\) | |||||||
\(440\) | −14.4752 | + | 35.4686i | −0.690079 | + | 1.69090i | ||||
\(441\) | −12.4922 | − | 6.64222i | −0.594866 | − | 0.316296i | ||||
\(442\) | −1.36155 | + | 2.79159i | −0.0647623 | + | 0.132782i | ||||
\(443\) | 26.1078 | − | 9.50247i | 1.24042 | − | 0.451476i | 0.363266 | − | 0.931685i | \(-0.381662\pi\) |
0.877154 | + | 0.480209i | \(0.159439\pi\) | |||||||
\(444\) | 24.7788 | − | 11.0322i | 1.17595 | − | 0.523567i | ||||
\(445\) | −4.18103 | + | 8.49659i | −0.198200 | + | 0.402777i | ||||
\(446\) | −21.8780 | − | 1.52986i | −1.03595 | − | 0.0724409i | ||||
\(447\) | −11.5642 | − | 0.808651i | −0.546970 | − | 0.0382479i | ||||
\(448\) | 15.6683 | − | 17.4014i | 0.740256 | − | 0.822137i | ||||
\(449\) | −7.42215 | + | 12.8555i | −0.350273 | + | 0.606691i | −0.986297 | − | 0.164978i | \(-0.947245\pi\) |
0.636024 | + | 0.771669i | \(0.280578\pi\) | |||||||
\(450\) | 3.44734 | − | 4.34914i | 0.162509 | − | 0.205020i | ||||
\(451\) | −0.333372 | − | 1.89065i | −0.0156979 | − | 0.0890271i | ||||
\(452\) | 14.9599 | − | 2.10248i | 0.703654 | − | 0.0988921i | ||||
\(453\) | −4.05803 | + | 1.16362i | −0.190663 | + | 0.0546717i | ||||
\(454\) | −4.38489 | + | 17.5868i | −0.205793 | + | 0.825391i | ||||
\(455\) | −1.04919 | + | 27.2981i | −0.0491866 | + | 1.27975i | ||||
\(456\) | 5.76733 | + | 25.1137i | 0.270080 | + | 1.17606i | ||||
\(457\) | −29.3775 | −1.37422 | −0.687111 | − | 0.726553i | \(-0.741121\pi\) | ||||
−0.687111 | + | 0.726553i | \(0.741121\pi\) | |||||||
\(458\) | 3.83635 | − | 0.268264i | 0.179261 | − | 0.0125352i | ||||
\(459\) | 2.71620 | − | 3.47658i | 0.126782 | − | 0.162273i | ||||
\(460\) | −10.2925 | + | 17.6835i | −0.479889 | + | 0.824497i | ||||
\(461\) | −27.2442 | + | 14.4860i | −1.26889 | + | 0.674679i | −0.960948 | − | 0.276727i | \(-0.910750\pi\) |
−0.307938 | + | 0.951406i | \(0.599639\pi\) | |||||||
\(462\) | 1.65985 | + | 47.5318i | 0.0772231 | + | 2.21138i | ||||
\(463\) | 20.3217 | + | 22.5695i | 0.944428 | + | 1.04889i | 0.998731 | + | 0.0503688i | \(0.0160397\pi\) |
−0.0543029 | + | 0.998525i | \(0.517294\pi\) | |||||||
\(464\) | −0.519912 | + | 0.577421i | −0.0241363 | + | 0.0268061i | ||||
\(465\) | 12.5925 | + | 5.65958i | 0.583964 | + | 0.262457i | ||||
\(466\) | −13.3261 | + | 8.32709i | −0.617321 | + | 0.385745i | ||||
\(467\) | 3.42281 | − | 32.5659i | 0.158389 | − | 1.50697i | −0.569909 | − | 0.821708i | \(-0.693021\pi\) |
0.728298 | − | 0.685261i | \(-0.240312\pi\) | |||||||
\(468\) | −2.07385 | + | 3.59201i | −0.0958636 | + | 0.166041i | ||||
\(469\) | 32.7026 | + | 9.37731i | 1.51006 | + | 0.433004i | ||||
\(470\) | −2.56212 | + | 14.2381i | −0.118182 | + | 0.656757i | ||||
\(471\) | −21.7204 | − | 44.5333i | −1.00082 | − | 2.05199i | ||||
\(472\) | 11.6388 | − | 3.33738i | 0.535720 | − | 0.153615i | ||||
\(473\) | 9.58290 | + | 5.98806i | 0.440622 | + | 0.275331i | ||||
\(474\) | 0.585322 | 0.0268847 | ||||||||
\(475\) | 12.6464 | − | 17.7502i | 0.580254 | − | 0.814435i | ||||
\(476\) | 6.18606 | 0.283538 | ||||||||
\(477\) | −9.48604 | − | 5.92753i | −0.434336 | − | 0.271403i | ||||
\(478\) | 26.4234 | − | 7.57679i | 1.20858 | − | 0.346554i | ||||
\(479\) | −7.22101 | − | 14.8053i | −0.329937 | − | 0.676470i | 0.667755 | − | 0.744381i | \(-0.267255\pi\) |
−0.997691 | + | 0.0679111i | \(0.978367\pi\) | |||||||
\(480\) | −22.4972 | − | 12.0634i | −1.02685 | − | 0.550618i | ||||
\(481\) | −30.3486 | − | 8.70233i | −1.38378 | − | 0.396792i | ||||
\(482\) | −10.8392 | + | 18.7741i | −0.493714 | + | 0.855138i | ||||
\(483\) | −7.13105 | + | 67.8474i | −0.324474 | + | 3.08717i | ||||
\(484\) | −24.6859 | + | 15.4254i | −1.12209 | + | 0.701157i | ||||
\(485\) | 0.650603 | − | 0.135906i | 0.0295424 | − | 0.00617116i | ||||
\(486\) | −7.28575 | + | 8.09165i | −0.330489 | + | 0.367045i | ||||
\(487\) | −12.4212 | − | 13.7951i | −0.562858 | − | 0.625117i | 0.392790 | − | 0.919628i | \(-0.371510\pi\) |
−0.955648 | + | 0.294511i | \(0.904843\pi\) | |||||||
\(488\) | 0.748926 | + | 21.4464i | 0.0339023 | + | 0.970834i | ||||
\(489\) | 38.0896 | − | 20.2526i | 1.72247 | − | 0.915853i | ||||
\(490\) | −21.2154 | + | 9.35665i | −0.958415 | + | 0.422690i | ||||
\(491\) | 10.6846 | − | 13.6756i | 0.482188 | − | 0.617172i | −0.483982 | − | 0.875078i | \(-0.660810\pi\) |
0.966170 | + | 0.257906i | \(0.0830324\pi\) | |||||||
\(492\) | 0.784062 | − | 0.0548270i | 0.0353483 | − | 0.00247179i | ||||
\(493\) | −4.29686 | −0.193521 | ||||||||
\(494\) | 5.08165 | − | 9.94482i | 0.228634 | − | 0.447439i | ||||
\(495\) | 15.7834 | − | 4.46594i | 0.709411 | − | 0.200729i | ||||
\(496\) | −0.159190 | + | 0.638476i | −0.00714784 | + | 0.0286684i | ||||
\(497\) | 26.8390 | − | 7.69596i | 1.20389 | − | 0.345211i | ||||
\(498\) | −5.88906 | + | 0.827654i | −0.263895 | + | 0.0370881i | ||||
\(499\) | −1.69719 | − | 9.62524i | −0.0759767 | − | 0.430885i | −0.998941 | − | 0.0460006i | \(-0.985352\pi\) |
0.922965 | − | 0.384885i | \(-0.125759\pi\) | |||||||
\(500\) | 3.07354 | + | 12.9045i | 0.137453 | + | 0.577108i | ||||
\(501\) | 14.8015 | − | 25.6370i | 0.661283 | − | 1.14538i | ||||
\(502\) | 1.20381 | − | 1.33697i | 0.0537288 | − | 0.0596719i | ||||
\(503\) | −15.8762 | − | 1.11017i | −0.707886 | − | 0.0495002i | −0.288725 | − | 0.957412i | \(-0.593231\pi\) |
−0.419161 | + | 0.907912i | \(0.637676\pi\) | |||||||
\(504\) | −15.1741 | − | 1.06108i | −0.675910 | − | 0.0472643i | ||||
\(505\) | 8.18261 | + | 7.95753i | 0.364121 | + | 0.354106i | ||||
\(506\) | 37.8787 | − | 16.8647i | 1.68391 | − | 0.749727i | ||||
\(507\) | −9.53011 | + | 3.46868i | −0.423247 | + | 0.154049i | ||||
\(508\) | −3.09538 | + | 6.34646i | −0.137335 | + | 0.281579i | ||||
\(509\) | 12.7846 | + | 6.79768i | 0.566666 | + | 0.301302i | 0.727977 | − | 0.685602i | \(-0.240461\pi\) |
−0.161310 | + | 0.986904i | \(0.551572\pi\) | |||||||
\(510\) | 1.19944 | + | 4.88362i | 0.0531120 | + | 0.216250i | ||||
\(511\) | −0.982182 | − | 0.613735i | −0.0434492 | − | 0.0271500i | ||||
\(512\) | 0.765357 | − | 2.35553i | 0.0338243 | − | 0.104101i | ||||
\(513\) | −9.99755 | + | 12.3168i | −0.441403 | + | 0.543798i | ||||
\(514\) | −1.14503 | − | 3.52405i | −0.0505053 | − | 0.155439i | ||||
\(515\) | 0.474136 | + | 15.0960i | 0.0208929 | + | 0.665211i | ||||
\(516\) | −2.84819 | + | 3.64552i | −0.125385 | + | 0.160485i | ||||
\(517\) | −30.7584 | + | 29.7030i | −1.35275 | + | 1.30634i | ||||
\(518\) | −7.48650 | − | 42.4581i | −0.328938 | − | 1.86550i | ||||
\(519\) | 32.0854 | + | 9.20035i | 1.40839 | + | 0.403851i | ||||
\(520\) | 6.77921 | + | 16.9501i | 0.297288 | + | 0.743313i | ||||
\(521\) | −22.4037 | − | 9.97477i | −0.981524 | − | 0.437002i | −0.147699 | − | 0.989032i | \(-0.547187\pi\) |
−0.833824 | + | 0.552030i | \(0.813853\pi\) | |||||||
\(522\) | 3.92461 | + | 0.274435i | 0.171775 | + | 0.0120117i | ||||
\(523\) | 2.43106 | − | 6.01707i | 0.106303 | − | 0.263108i | −0.864652 | − | 0.502371i | \(-0.832461\pi\) |
0.970955 | + | 0.239263i | \(0.0769057\pi\) | |||||||
\(524\) | 1.83728 | + | 3.18226i | 0.0802620 | + | 0.139018i | ||||
\(525\) | 26.9857 | + | 35.0443i | 1.17775 | + | 1.52946i | ||||
\(526\) | −10.6368 | + | 3.87148i | −0.463786 | + | 0.168804i | ||||
\(527\) | −3.21298 | + | 1.70837i | −0.139960 | + | 0.0744178i | ||||
\(528\) | 1.17822 | + | 2.41571i | 0.0512754 | + | 0.105130i | ||||
\(529\) | 35.0621 | − | 10.0539i | 1.52444 | − | 0.437126i | ||||
\(530\) | −17.2482 | + | 6.20939i | −0.749215 | + | 0.269718i | ||||
\(531\) | −4.19424 | − | 3.04730i | −0.182015 | − | 0.132241i | ||||
\(532\) | −22.2392 | − | 0.413948i | −0.964193 | − | 0.0179469i | ||||
\(533\) | −0.740142 | − | 0.537744i | −0.0320591 | − | 0.0232923i | ||||
\(534\) | 2.94307 | + | 7.28436i | 0.127359 | + | 0.315225i | ||||
\(535\) | −18.9757 | − | 1.39383i | −0.820389 | − | 0.0602607i | ||||
\(536\) | 22.5131 | − | 3.16401i | 0.972418 | − | 0.136664i | ||||
\(537\) | 25.7353 | + | 3.61687i | 1.11056 | + | 0.156079i | ||||
\(538\) | 0.649759 | + | 18.6067i | 0.0280131 | + | 0.802191i | ||||
\(539\) | −67.0357 | − | 14.2489i | −2.88743 | − | 0.613743i | ||||
\(540\) | −1.64330 | − | 9.51471i | −0.0707162 | − | 0.409448i | ||||
\(541\) | 34.4562 | − | 21.5307i | 1.48139 | − | 0.925675i | 0.482633 | − | 0.875823i | \(-0.339680\pi\) |
0.998757 | − | 0.0498526i | \(-0.0158751\pi\) | |||||||
\(542\) | 0.152436 | + | 0.611386i | 0.00654767 | + | 0.0262613i | ||||
\(543\) | −13.2577 | − | 22.9630i | −0.568943 | − | 0.985438i | ||||
\(544\) | 6.14677 | − | 2.73672i | 0.263541 | − | 0.117336i | ||||
\(545\) | 1.21700 | + | 3.79076i | 0.0521306 | + | 0.162378i | ||||
\(546\) | 16.3035 | + | 15.7441i | 0.697727 | + | 0.673787i | ||||
\(547\) | 2.74576 | + | 5.62965i | 0.117400 | + | 0.240706i | 0.949400 | − | 0.314070i | \(-0.101693\pi\) |
−0.831999 | + | 0.554776i | \(0.812804\pi\) | |||||||
\(548\) | −0.254670 | + | 7.29280i | −0.0108790 | + | 0.311533i | ||||
\(549\) | 7.03886 | − | 5.90630i | 0.300411 | − | 0.252075i | ||||
\(550\) | 10.2450 | − | 24.8536i | 0.436847 | − | 1.05976i | ||||
\(551\) | 15.4475 | + | 0.287530i | 0.658085 | + | 0.0122492i | ||||
\(552\) | 14.0878 | + | 43.3579i | 0.599618 | + | 1.84543i | ||||
\(553\) | −0.328277 | + | 1.31665i | −0.0139597 | + | 0.0559895i | ||||
\(554\) | 25.6389 | − | 7.35183i | 1.08929 | − | 0.312349i | ||||
\(555\) | −46.7705 | + | 20.6272i | −1.98530 | + | 0.875578i | ||||
\(556\) | −1.76163 | + | 3.61187i | −0.0747096 | + | 0.153177i | ||||
\(557\) | 14.3884 | − | 5.23696i | 0.609657 | − | 0.221897i | −0.0186962 | − | 0.999825i | \(-0.505952\pi\) |
0.628353 | + | 0.777928i | \(0.283729\pi\) | |||||||
\(558\) | 3.04374 | − | 1.35516i | 0.128852 | − | 0.0573684i | ||||
\(559\) | 5.26719 | − | 1.11958i | 0.222778 | − | 0.0473530i | ||||
\(560\) | −1.41611 | + | 1.56169i | −0.0598414 | + | 0.0659935i | ||||
\(561\) | −5.56790 | + | 13.7810i | −0.235077 | + | 0.581836i | ||||
\(562\) | −6.83545 | + | 1.45292i | −0.288336 | + | 0.0612878i | ||||
\(563\) | −12.3991 | − | 13.7706i | −0.522561 | − | 0.580363i | 0.422868 | − | 0.906191i | \(-0.361023\pi\) |
−0.945429 | + | 0.325829i | \(0.894357\pi\) | |||||||
\(564\) | −10.7776 | − | 13.7947i | −0.453819 | − | 0.580861i | ||||
\(565\) | −28.2070 | + | 3.86335i | −1.18668 | + | 0.162532i | ||||
\(566\) | −5.12815 | − | 2.72669i | −0.215552 | − | 0.114611i | ||||
\(567\) | −26.8815 | − | 39.8535i | −1.12892 | − | 1.67369i | ||||
\(568\) | 14.2929 | − | 11.9932i | 0.599718 | − | 0.503223i | ||||
\(569\) | 5.44758 | + | 3.95790i | 0.228374 | + | 0.165924i | 0.696088 | − | 0.717956i | \(-0.254922\pi\) |
−0.467714 | + | 0.883880i | \(0.654922\pi\) | |||||||
\(570\) | −3.98525 | − | 17.6372i | −0.166924 | − | 0.738739i | ||||
\(571\) | −29.5270 | + | 21.4526i | −1.23567 | + | 0.897765i | −0.997302 | − | 0.0734100i | \(-0.976612\pi\) |
−0.238366 | + | 0.971175i | \(0.576612\pi\) | |||||||
\(572\) | −4.86049 | + | 19.4944i | −0.203227 | + | 0.815100i | ||||
\(573\) | 1.57097 | − | 44.9867i | 0.0656281 | − | 1.87934i | ||||
\(574\) | 0.216939 | − | 1.23032i | 0.00905488 | − | 0.0513528i | ||||
\(575\) | 19.5139 | − | 33.2578i | 0.813786 | − | 1.38695i | ||||
\(576\) | −6.29603 | + | 2.29157i | −0.262334 | + | 0.0954819i | ||||
\(577\) | 19.8097 | + | 4.21069i | 0.824690 | + | 0.175293i | 0.600880 | − | 0.799339i | \(-0.294817\pi\) |
0.223810 | + | 0.974633i | \(0.428150\pi\) | |||||||
\(578\) | 12.7965 | + | 5.69738i | 0.532265 | + | 0.236980i | ||||
\(579\) | −1.88349 | − | 0.131706i | −0.0782750 | − | 0.00547352i | ||||
\(580\) | −6.31694 | + | 6.96636i | −0.262297 | + | 0.289262i | ||||
\(581\) | 1.44111 | − | 13.7113i | 0.0597875 | − | 0.568840i | ||||
\(582\) | 0.275712 | − | 0.477547i | 0.0114286 | − | 0.0197950i | ||||
\(583\) | −52.0840 | − | 14.9348i | −2.15710 | − | 0.618538i | ||||
\(584\) | −0.766419 | − | 0.107713i | −0.0317147 | − | 0.00445721i | ||||
\(585\) | 3.93208 | − | 6.75570i | 0.162571 | − | 0.279314i | ||||
\(586\) | 0.898070 | − | 25.7173i | 0.0370989 | − | 1.06237i | ||||
\(587\) | 8.13859 | + | 20.1437i | 0.335916 | + | 0.831421i | 0.996725 | + | 0.0808667i | \(0.0257688\pi\) |
−0.660809 | + | 0.750554i | \(0.729787\pi\) | |||||||
\(588\) | 8.67032 | − | 26.6845i | 0.357558 | − | 1.10045i | ||||
\(589\) | 11.6652 | − | 5.92670i | 0.480655 | − | 0.244205i | ||||
\(590\) | −8.17549 | + | 2.31327i | −0.336580 | + | 0.0952358i | ||||
\(591\) | −2.84098 | − | 7.03167i | −0.116862 | − | 0.289244i | ||||
\(592\) | −1.36240 | − | 2.01984i | −0.0559944 | − | 0.0830151i | ||||
\(593\) | 8.24525 | − | 46.7611i | 0.338592 | − | 1.92025i | −0.0498093 | − | 0.998759i | \(-0.515861\pi\) |
0.388401 | − | 0.921490i | \(-0.373028\pi\) | |||||||
\(594\) | −8.57757 | + | 17.5866i | −0.351942 | + | 0.721588i | ||||
\(595\) | −11.6581 | − | 0.0409078i | −0.477936 | − | 0.00167705i | ||||
\(596\) | −0.699001 | − | 6.65055i | −0.0286322 | − | 0.272417i | ||||
\(597\) | −10.4620 | − | 4.65800i | −0.428182 | − | 0.190639i | ||||
\(598\) | 7.40182 | − | 18.3202i | 0.302683 | − | 0.749167i | ||||
\(599\) | −27.6813 | − | 23.2274i | −1.13103 | − | 0.949045i | −0.131920 | − | 0.991260i | \(-0.542114\pi\) |
−0.999109 | + | 0.0422151i | \(0.986559\pi\) | |||||||
\(600\) | 25.9995 | + | 14.0591i | 1.06142 | + | 0.573960i | ||||
\(601\) | −11.7350 | + | 20.3256i | −0.478680 | + | 0.829099i | −0.999701 | − | 0.0244451i | \(-0.992218\pi\) |
0.521021 | + | 0.853544i | \(0.325551\pi\) | |||||||
\(602\) | 4.52718 | + | 5.79453i | 0.184514 | + | 0.236167i | ||||
\(603\) | −7.00237 | − | 6.76211i | −0.285158 | − | 0.275374i | ||||
\(604\) | −1.06754 | − | 2.18877i | −0.0434374 | − | 0.0890599i | ||||
\(605\) | 46.6245 | − | 28.9072i | 1.89555 | − | 1.17525i | ||||
\(606\) | 9.44649 | − | 0.660563i | 0.383737 | − | 0.0268335i | ||||
\(607\) | 40.1073 | 1.62791 | 0.813953 | − | 0.580930i | \(-0.197311\pi\) | ||||
0.813953 | + | 0.580930i | \(0.197311\pi\) | |||||||
\(608\) | −22.2811 | + | 9.42734i | −0.903619 | + | 0.382329i | ||||
\(609\) | −9.68925 | + | 29.8204i | −0.392628 | + | 1.20839i | ||||
\(610\) | −0.472733 | − | 15.0514i | −0.0191404 | − | 0.609413i | ||||
\(611\) | −0.711126 | + | 20.3640i | −0.0287691 | + | 0.823839i | ||||
\(612\) | −1.56286 | − | 0.830987i | −0.0631748 | − | 0.0335907i | ||||
\(613\) | 6.30229 | + | 0.885729i | 0.254547 | + | 0.0357743i | 0.265292 | − | 0.964168i | \(-0.414532\pi\) |
−0.0107453 | + | 0.999942i | \(0.503420\pi\) | |||||||
\(614\) | −10.0486 | − | 12.8616i | −0.405529 | − | 0.519053i | ||||
\(615\) | −1.47799 | + | 0.0981408i | −0.0595983 | + | 0.00395742i | ||||
\(616\) | −72.0719 | + | 15.3194i | −2.90386 | + | 0.617235i | ||||
\(617\) | −3.94772 | − | 15.8335i | −0.158929 | − | 0.637431i | −0.995922 | − | 0.0902168i | \(-0.971244\pi\) |
0.836993 | − | 0.547214i | \(-0.184312\pi\) | |||||||
\(618\) | 9.59900 | + | 8.05452i | 0.386128 | + | 0.324000i | ||||
\(619\) | 4.30654 | − | 40.9740i | 0.173095 | − | 1.64689i | −0.471141 | − | 0.882058i | \(-0.656158\pi\) |
0.644235 | − | 0.764827i | \(-0.277176\pi\) | |||||||
\(620\) | −1.95377 | + | 7.72062i | −0.0784652 | + | 0.310067i | ||||
\(621\) | −15.6947 | + | 23.2684i | −0.629808 | + | 0.933729i | ||||
\(622\) | 13.5770 | + | 13.1112i | 0.544388 | + | 0.525710i | ||||
\(623\) | −18.0364 | + | 2.53484i | −0.722611 | + | 0.101556i | ||||
\(624\) | 1.20356 | + | 0.438060i | 0.0481810 | + | 0.0175365i | ||||
\(625\) | −5.70699 | − | 24.3399i | −0.228280 | − | 0.973596i | ||||
\(626\) | −20.2082 | −0.807684 | ||||||||
\(627\) | 20.9391 | − | 49.1711i | 0.836228 | − | 1.96370i | ||||
\(628\) | 23.1233 | − | 16.8000i | 0.922719 | − | 0.670395i | ||||
\(629\) | 3.25950 | − | 13.0731i | 0.129965 | − | 0.521260i | ||||
\(630\) | 10.6455 | + | 0.781952i | 0.424127 | + | 0.0311537i | ||||
\(631\) | −10.7582 | + | 10.3891i | −0.428279 | + | 0.413584i | −0.877304 | − | 0.479935i | \(-0.840660\pi\) |
0.449025 | + | 0.893519i | \(0.351771\pi\) | |||||||
\(632\) | 0.157463 | + | 0.893015i | 0.00626353 | + | 0.0355222i | ||||
\(633\) | −8.44423 | − | 2.42134i | −0.335628 | − | 0.0962397i | ||||
\(634\) | 9.68415 | + | 10.7553i | 0.384607 | + | 0.427149i | ||||
\(635\) | 5.87544 | − | 11.9399i | 0.233160 | − | 0.473822i | ||||
\(636\) | 8.30976 | − | 20.5674i | 0.329504 | − | 0.815550i | ||||
\(637\) | −27.6962 | + | 17.3065i | −1.09736 | + | 0.685710i | ||||
\(638\) | 18.6405 | − | 3.96216i | 0.737985 | − | 0.156864i | ||||
\(639\) | −7.81448 | − | 1.66102i | −0.309136 | − | 0.0657089i | ||||
\(640\) | 4.32340 | − | 13.1489i | 0.170898 | − | 0.519756i | ||||
\(641\) | −18.6405 | − | 2.61975i | −0.736254 | − | 0.103474i | −0.238928 | − | 0.971037i | \(-0.576796\pi\) |
−0.497326 | + | 0.867564i | \(0.665685\pi\) | |||||||
\(642\) | −11.3552 | + | 10.9656i | −0.448153 | + | 0.432777i | ||||
\(643\) | −24.8277 | − | 9.03653i | −0.979107 | − | 0.356366i | −0.197614 | − | 0.980280i | \(-0.563319\pi\) |
−0.781493 | + | 0.623914i | \(0.785542\pi\) | |||||||
\(644\) | −39.2579 | + | 2.74518i | −1.54698 | + | 0.108175i | ||||
\(645\) | 5.39175 | − | 6.85143i | 0.212300 | − | 0.269775i | ||||
\(646\) | 4.31710 | + | 2.01918i | 0.169854 | + | 0.0794437i | ||||
\(647\) | 12.5027 | − | 9.08376i | 0.491533 | − | 0.357119i | −0.314241 | − | 0.949343i | \(-0.601750\pi\) |
0.805773 | + | 0.592224i | \(0.201750\pi\) | |||||||
\(648\) | −27.2430 | − | 17.0233i | −1.07021 | − | 0.668739i | ||||
\(649\) | −23.5982 | − | 8.58906i | −0.926312 | − | 0.337150i | ||||
\(650\) | −4.71542 | − | 11.9111i | −0.184954 | − | 0.467190i | ||||
\(651\) | 4.61104 | + | 26.1505i | 0.180721 | + | 1.02492i | ||||
\(652\) | 15.3207 | + | 19.6097i | 0.600006 | + | 0.767973i | ||||
\(653\) | 1.16644 | + | 11.0979i | 0.0456462 | + | 0.434294i | 0.993349 | + | 0.115141i | \(0.0367319\pi\) |
−0.947703 | + | 0.319154i | \(0.896601\pi\) | |||||||
\(654\) | 3.01754 | + | 1.34349i | 0.117995 | + | 0.0525347i | ||||
\(655\) | −3.44146 | − | 6.00938i | −0.134469 | − | 0.234806i | ||||
\(656\) | −0.0170796 | − | 0.0685026i | −0.000666847 | − | 0.00267458i | ||||
\(657\) | 0.165696 | + | 0.286994i | 0.00646442 | + | 0.0111967i | ||||
\(658\) | −25.4196 | + | 11.3175i | −0.990959 | + | 0.441203i | ||||
\(659\) | −0.444197 | − | 12.7201i | −0.0173034 | − | 0.495506i | −0.976846 | − | 0.213943i | \(-0.931369\pi\) |
0.959543 | − | 0.281563i | \(-0.0908528\pi\) | |||||||
\(660\) | 14.1572 | + | 29.2869i | 0.551068 | + | 1.13999i | ||||
\(661\) | −20.7123 | + | 2.91092i | −0.805614 | + | 0.113222i | −0.529946 | − | 0.848031i | \(-0.677788\pi\) |
−0.275668 | + | 0.961253i | \(0.588899\pi\) | |||||||
\(662\) | 10.7797 | − | 13.7973i | 0.418963 | − | 0.536249i | ||||
\(663\) | 2.65332 | + | 6.56720i | 0.103047 | + | 0.255049i | ||||
\(664\) | −2.84701 | − | 8.76219i | −0.110485 | − | 0.340039i | ||||
\(665\) | 41.9088 | + | 0.927183i | 1.62516 | + | 0.0359546i | ||||
\(666\) | −3.81208 | + | 11.7324i | −0.147715 | + | 0.454620i | ||||
\(667\) | 27.2687 | − | 1.90681i | 1.05585 | − | 0.0738321i | ||||
\(668\) | 16.0468 | + | 5.84056i | 0.620870 | + | 0.225978i | ||||
\(669\) | −35.9769 | + | 34.7425i | −1.39095 | + | 1.34322i | ||||
\(670\) | −15.8058 | + | 2.16484i | −0.610633 | + | 0.0836349i | ||||
\(671\) | 24.8890 | − | 36.8995i | 0.960830 | − | 1.42449i | ||||
\(672\) | −5.13225 | − | 48.8301i | −0.197981 | − | 1.88366i | ||||
\(673\) | 11.2538 | − | 12.4987i | 0.433804 | − | 0.481788i | −0.486116 | − | 0.873894i | \(-0.661587\pi\) |
0.919920 | + | 0.392106i | \(0.128254\pi\) | |||||||
\(674\) | 23.8337 | + | 19.9989i | 0.918040 | + | 0.770327i | ||||
\(675\) | 3.03400 | + | 17.9421i | 0.116779 | + | 0.690591i | ||||
\(676\) | −2.92515 | − | 5.06651i | −0.112506 | − | 0.194866i | ||||
\(677\) | 16.3355 | + | 3.47222i | 0.627825 | + | 0.133448i | 0.510827 | − | 0.859684i | \(-0.329339\pi\) |
0.116998 | + | 0.993132i | \(0.462673\pi\) | |||||||
\(678\) | −13.2084 | + | 19.5822i | −0.507264 | + | 0.752050i | ||||
\(679\) | 0.919581 | + | 0.888029i | 0.0352903 | + | 0.0340794i | ||||
\(680\) | −7.12818 | + | 3.14375i | −0.273353 | + | 0.120557i | ||||
\(681\) | 23.1136 | + | 34.2674i | 0.885716 | + | 1.31313i | ||||
\(682\) | 12.3631 | − | 10.3739i | 0.473409 | − | 0.397237i | ||||
\(683\) | 12.5351 | + | 9.10728i | 0.479642 | + | 0.348480i | 0.801187 | − | 0.598414i | \(-0.204202\pi\) |
−0.321545 | + | 0.946894i | \(0.604202\pi\) | |||||||
\(684\) | 5.56296 | + | 3.09203i | 0.212705 | + | 0.118227i | ||||
\(685\) | 0.528173 | − | 13.7422i | 0.0201804 | − | 0.525061i | ||||
\(686\) | −14.7934 | − | 9.24393i | −0.564814 | − | 0.352935i | ||||
\(687\) | 5.39937 | − | 6.91088i | 0.205999 | − | 0.263666i | ||||
\(688\) | 0.366907 | + | 0.195088i | 0.0139882 | + | 0.00743765i | ||||
\(689\) | −22.7979 | + | 12.1219i | −0.868533 | + | 0.461807i | ||||
\(690\) | −9.77905 | − | 30.4601i | −0.372282 | − | 1.15960i | ||||
\(691\) | 6.95231 | + | 7.72133i | 0.264478 | + | 0.293733i | 0.860727 | − | 0.509067i | \(-0.170009\pi\) |
−0.596249 | + | 0.802800i | \(0.703343\pi\) | |||||||
\(692\) | −2.01265 | + | 19.1491i | −0.0765094 | + | 0.727938i | ||||
\(693\) | 24.1682 | + | 20.2795i | 0.918074 | + | 0.770355i | ||||
\(694\) | 4.96580 | + | 19.9167i | 0.188499 | + | 0.756029i | ||||
\(695\) | 3.34381 | − | 6.79520i | 0.126838 | − | 0.257757i | ||||
\(696\) | 2.19020 | + | 20.8384i | 0.0830195 | + | 0.789878i | ||||
\(697\) | 0.218322 | − | 0.323675i | 0.00826953 | − | 0.0122601i | ||||
\(698\) | −10.0528 | + | 5.34515i | −0.380503 | + | 0.202317i | ||||
\(699\) | −6.22267 | + | 35.2905i | −0.235363 | + | 1.33481i | ||||
\(700\) | −17.2052 | + | 18.8407i | −0.650297 | + | 0.712113i | ||||
\(701\) | −4.36434 | + | 3.66212i | −0.164839 | + | 0.138316i | −0.721476 | − | 0.692440i | \(-0.756536\pi\) |
0.556637 | + | 0.830756i | \(0.312091\pi\) | |||||||
\(702\) | 2.88140 | + | 8.86802i | 0.108751 | + | 0.334702i | ||||
\(703\) | −12.5929 | + | 46.7806i | −0.474950 | + | 1.76436i | ||||
\(704\) | −26.2565 | + | 19.0765i | −0.989579 | + | 0.718971i | ||||
\(705\) | 20.2200 | + | 26.0684i | 0.761529 | + | 0.981794i | ||||
\(706\) | −2.70547 | − | 4.01103i | −0.101822 | − | 0.150957i | ||||
\(707\) | −3.81215 | + | 21.6198i | −0.143371 | + | 0.813095i | ||||
\(708\) | 4.50699 | − | 9.24070i | 0.169383 | − | 0.347287i | ||||
\(709\) | −0.669191 | − | 19.1631i | −0.0251320 | − | 0.719686i | −0.944926 | − | 0.327284i | \(-0.893867\pi\) |
0.919794 | − | 0.392402i | \(-0.128356\pi\) | |||||||
\(710\) | −10.0593 | + | 8.38075i | −0.377518 | + | 0.314524i | ||||
\(711\) | 0.259804 | − | 0.288542i | 0.00974343 | − | 0.0108212i | ||||
\(712\) | −10.3219 | + | 6.44983i | −0.386829 | + | 0.241717i | ||||
\(713\) | 19.6320 | − | 12.2675i | 0.735226 | − | 0.459420i | ||||
\(714\) | −6.47197 | + | 7.18785i | −0.242207 | + | 0.268999i | ||||
\(715\) | 9.28888 | − | 36.7065i | 0.347384 | − | 1.37274i | ||||
\(716\) | 0.523194 | + | 14.9823i | 0.0195527 | + | 0.559916i | ||||
\(717\) | 27.4797 | − | 56.3418i | 1.02625 | − | 2.10412i | ||||
\(718\) | 1.87830 | − | 10.6524i | 0.0700977 | − | 0.397544i | ||||
\(719\) | 27.5446 | + | 40.8366i | 1.02724 | + | 1.52295i | 0.841432 | + | 0.540363i | \(0.181713\pi\) |
0.185810 | + | 0.982586i | \(0.440509\pi\) | |||||||
\(720\) | 0.567553 | − | 0.204320i | 0.0211515 | − | 0.00761456i | ||||
\(721\) | −23.5017 | + | 17.0750i | −0.875250 | + | 0.635906i | ||||
\(722\) | −15.3851 | − | 7.54797i | −0.572574 | − | 0.280906i | ||||
\(723\) | 15.2769 | + | 47.0174i | 0.568153 | + | 1.74860i | ||||
\(724\) | 11.7171 | − | 9.83180i | 0.435462 | − | 0.365396i | ||||
\(725\) | 11.9508 | − | 13.0869i | 0.443843 | − | 0.486034i | ||||
\(726\) | 7.90333 | − | 44.8220i | 0.293320 | − | 1.66350i | ||||
\(727\) | −10.0649 | + | 5.35158i | −0.373285 | + | 0.198479i | −0.645505 | − | 0.763756i | \(-0.723353\pi\) |
0.272220 | + | 0.962235i | \(0.412242\pi\) | |||||||
\(728\) | −19.6346 | + | 29.1095i | −0.727706 | + | 1.07887i | ||||
\(729\) | −0.909577 | − | 8.65405i | −0.0336880 | − | 0.320520i | ||||
\(730\) | 0.537552 | + | 0.0774725i | 0.0198957 | + | 0.00286738i | ||||
\(731\) | 0.555940 | + | 2.22976i | 0.0205622 | + | 0.0824705i | ||||
\(732\) | 13.9589 | + | 11.7129i | 0.515935 | + | 0.432921i | ||||
\(733\) | 2.99224 | − | 28.4693i | 0.110521 | − | 1.05154i | −0.788921 | − | 0.614495i | \(-0.789360\pi\) |
0.899441 | − | 0.437041i | \(-0.143974\pi\) | |||||||
\(734\) | −7.72987 | − | 8.58488i | −0.285315 | − | 0.316874i | ||||
\(735\) | −16.5163 | + | 50.2317i | −0.609215 | + | 1.85282i | ||||
\(736\) | −37.7941 | + | 20.0955i | −1.39311 | + | 0.740728i | ||||
\(737\) | −41.6336 | − | 22.1370i | −1.53359 | − | 0.815426i | ||||
\(738\) | −0.220080 | + | 0.281690i | −0.00810127 | + | 0.0103692i | ||||
\(739\) | 16.2724 | + | 10.1681i | 0.598590 | + | 0.374040i | 0.795115 | − | 0.606458i | \(-0.207410\pi\) |
−0.196526 | + | 0.980499i | \(0.562966\pi\) | |||||||
\(740\) | −16.4032 | − | 24.5037i | −0.602992 | − | 0.900774i | ||||
\(741\) | −9.09940 | − | 23.7870i | −0.334275 | − | 0.873838i | ||||
\(742\) | −28.5253 | − | 20.7248i | −1.04720 | − | 0.760832i | ||||
\(743\) | −13.2280 | + | 11.0996i | −0.485287 | + | 0.407205i | −0.852334 | − | 0.522998i | \(-0.824813\pi\) |
0.367046 | + | 0.930203i | \(0.380369\pi\) | |||||||
\(744\) | 9.92278 | + | 14.7111i | 0.363787 | + | 0.539336i | ||||
\(745\) | 1.27334 | + | 12.5381i | 0.0466516 | + | 0.459360i | ||||
\(746\) | 14.7728 | + | 14.2659i | 0.540871 | + | 0.522313i | ||||
\(747\) | −2.20595 | + | 3.27046i | −0.0807116 | + | 0.119660i | ||||
\(748\) | −8.38663 | − | 1.78263i | −0.306646 | − | 0.0651795i | ||||
\(749\) | −18.2979 | − | 31.6928i | −0.668589 | − | 1.15803i | ||||
\(750\) | −18.2099 | − | 9.92967i | −0.664932 | − | 0.362580i | ||||
\(751\) | 10.7598 | + | 9.02853i | 0.392630 | + | 0.329456i | 0.817637 | − | 0.575735i | \(-0.195284\pi\) |
−0.425007 | + | 0.905190i | \(0.639728\pi\) | |||||||
\(752\) | −1.05217 | + | 1.16855i | −0.0383685 | + | 0.0426126i | ||||
\(753\) | −0.428850 | − | 4.08024i | −0.0156282 | − | 0.148692i | ||||
\(754\) | 5.07824 | − | 7.52880i | 0.184939 | − | 0.274183i | ||||
\(755\) | 1.99738 | + | 4.13197i | 0.0726921 | + | 0.150378i | ||||
\(756\) | 13.3591 | − | 12.9007i | 0.485866 | − | 0.469195i | ||||
\(757\) | 0.995260 | + | 0.362245i | 0.0361733 | + | 0.0131660i | 0.360043 | − | 0.932936i | \(-0.382762\pi\) |
−0.323870 | + | 0.946102i | \(0.604984\pi\) | |||||||
\(758\) | −5.18611 | + | 0.362648i | −0.188368 | + | 0.0131720i | ||||
\(759\) | 29.2193 | − | 89.9279i | 1.06059 | − | 3.26418i | ||||
\(760\) | 25.8366 | − | 10.8250i | 0.937192 | − | 0.392663i | ||||
\(761\) | −3.10954 | − | 9.57019i | −0.112721 | − | 0.346919i | 0.878744 | − | 0.477293i | \(-0.158382\pi\) |
−0.991465 | + | 0.130374i | \(0.958382\pi\) | |||||||
\(762\) | −4.13579 | − | 10.2364i | −0.149824 | − | 0.370827i | ||||
\(763\) | −4.71449 | + | 6.03427i | −0.170676 | + | 0.218455i | ||||
\(764\) | 25.7139 | − | 3.61385i | 0.930296 | − | 0.130745i | ||||
\(765\) | 2.93983 | + | 1.57639i | 0.106290 | + | 0.0569947i | ||||
\(766\) | 0.358459 | + | 10.2649i | 0.0129517 | + | 0.370887i | ||||
\(767\) | −10.9326 | + | 4.86750i | −0.394752 | + | 0.175755i | ||||
\(768\) | −16.9403 | − | 29.3415i | −0.611281 | − | 1.05877i | ||||
\(769\) | −2.76199 | − | 11.0777i | −0.0996000 | − | 0.399474i | 0.899715 | − | 0.436478i | \(-0.143774\pi\) |
−0.999315 | + | 0.0370038i | \(0.988219\pi\) | |||||||
\(770\) | 50.6125 | − | 10.5725i | 1.82395 | − | 0.381008i | ||||
\(771\) | −7.71951 | − | 3.43695i | −0.278011 | − | 0.123779i | ||||
\(772\) | −0.113847 | − | 1.08319i | −0.00409746 | − | 0.0389847i | ||||
\(773\) | 9.01089 | + | 11.5334i | 0.324099 | + | 0.414828i | 0.922273 | − | 0.386538i | \(-0.126329\pi\) |
−0.598174 | + | 0.801366i | \(0.704107\pi\) | |||||||
\(774\) | −0.365365 | − | 2.07209i | −0.0131328 | − | 0.0744797i | ||||
\(775\) | 3.73308 | − | 14.5372i | 0.134096 | − | 0.522191i | ||||
\(776\) | 0.802757 | + | 0.292180i | 0.0288173 | + | 0.0104886i | ||||
\(777\) | −83.3782 | − | 52.1005i | −2.99118 | − | 1.86909i | ||||
\(778\) | −14.5832 | + | 10.5953i | −0.522832 | + | 0.379860i | ||||
\(779\) | −0.806539 | + | 1.14902i | −0.0288973 | + | 0.0411680i | ||||
\(780\) | 14.5479 | + | 5.35289i | 0.520898 | + | 0.191664i | ||||
\(781\) | −38.6042 | + | 2.69947i | −1.38137 | + | 0.0965946i | ||||
\(782\) | 7.92369 | + | 2.88399i | 0.283351 | + | 0.103131i | ||||
\(783\) | −9.27929 | + | 8.96091i | −0.331615 | + | 0.320237i | ||||
\(784\) | −2.49574 | − | 0.350753i | −0.0891335 | − | 0.0125269i | ||||
\(785\) | −43.6887 | + | 31.5081i | −1.55932 | + | 1.12457i | ||||
\(786\) | −5.61981 | − | 1.19453i | −0.200452 | − | 0.0426074i | ||||
\(787\) | 31.5175 | − | 6.69924i | 1.12348 | − | 0.238802i | 0.391530 | − | 0.920165i | \(-0.371946\pi\) |
0.731946 | + | 0.681363i | \(0.238612\pi\) | |||||||
\(788\) | 3.71005 | − | 2.31830i | 0.132165 | − | 0.0825859i | ||||
\(789\) | −9.66994 | + | 23.9339i | −0.344259 | + | 0.852071i | ||||
\(790\) | −0.108297 | − | 0.627040i | −0.00385303 | − | 0.0223091i | ||||
\(791\) | −36.6411 | − | 40.6940i | −1.30281 | − | 1.44691i | ||||
\(792\) | 20.2663 | + | 5.81126i | 0.720131 | + | 0.206494i | ||||
\(793\) | −3.68311 | − | 20.8880i | −0.130791 | − | 0.741753i | ||||
\(794\) | 15.1950 | − | 14.6737i | 0.539251 | − | 0.520749i | ||||
\(795\) | −15.7964 | + | 38.7059i | −0.560241 | + | 1.37276i | ||||
\(796\) | 1.59819 | − | 6.40998i | 0.0566463 | − | 0.227196i | ||||
\(797\) | −23.6088 | + | 17.1528i | −0.836267 | + | 0.607583i | −0.921325 | − | 0.388793i | \(-0.872892\pi\) |
0.0850586 | + | 0.996376i | \(0.472892\pi\) | |||||||
\(798\) | 23.7481 | − | 25.4077i | 0.840674 | − | 0.899422i | ||||
\(799\) | −8.69572 | −0.307633 | ||||||||
\(800\) | −8.76079 | + | 26.3327i | −0.309741 | + | 0.931001i | ||||
\(801\) | 4.89725 | + | 1.78245i | 0.173036 | + | 0.0629799i | ||||
\(802\) | 34.1384 | − | 4.79784i | 1.20547 | − | 0.169417i | ||||
\(803\) | 1.15471 | + | 1.11509i | 0.0407490 | + | 0.0393508i | ||||
\(804\) | 10.7950 | − | 16.0042i | 0.380709 | − | 0.564425i | ||||
\(805\) | 74.0026 | − | 4.91389i | 2.60825 | − | 0.173192i | ||||
\(806\) | 0.803911 | − | 7.64870i | 0.0283165 | − | 0.269414i | ||||
\(807\) | 32.5245 | + | 27.2913i | 1.14492 | + | 0.960699i | ||||
\(808\) | 3.54909 | + | 14.2346i | 0.124857 | + | 0.500773i | ||||
\(809\) | 36.2826 | − | 7.71211i | 1.27563 | − | 0.271143i | 0.480184 | − | 0.877168i | \(-0.340570\pi\) |
0.795446 | + | 0.606025i | \(0.207237\pi\) | |||||||
\(810\) | 19.0752 | + | 12.0128i | 0.670235 | + | 0.422087i | ||||
\(811\) | −8.73058 | − | 11.1746i | −0.306572 | − | 0.392395i | 0.609909 | − | 0.792471i | \(-0.291206\pi\) |
−0.916482 | + | 0.400076i | \(0.868984\pi\) | |||||||
\(812\) | −17.9113 | − | 2.51727i | −0.628563 | − | 0.0883388i | ||||
\(813\) | 1.26873 | + | 0.674596i | 0.0444963 | + | 0.0236591i | ||||
\(814\) | −2.08544 | + | 59.7191i | −0.0730945 | + | 2.09315i | ||||
\(815\) | −28.7434 | − | 37.0572i | −1.00684 | − | 1.29806i | ||||
\(816\) | −0.168905 | + | 0.519837i | −0.00591286 | + | 0.0181979i | ||||
\(817\) | −1.84943 | − | 8.05330i | −0.0647034 | − | 0.281749i | ||||
\(818\) | 18.9265 | 0.661751 | ||||||||
\(819\) | 14.9979 | − | 1.04875i | 0.524068 | − | 0.0366464i | ||||
\(820\) | −0.203803 | − | 0.829802i | −0.00711710 | − | 0.0289779i | ||||
\(821\) | 17.0980 | + | 35.0561i | 0.596724 | + | 1.22347i | 0.956855 | + | 0.290564i | \(0.0938431\pi\) |
−0.360131 | + | 0.932902i | \(0.617268\pi\) | |||||||
\(822\) | −8.20739 | − | 7.92578i | −0.286265 | − | 0.276443i | ||||
\(823\) | 20.0105 | + | 25.6122i | 0.697521 | + | 0.892786i | 0.998140 | − | 0.0609582i | \(-0.0194156\pi\) |
−0.300619 | + | 0.953744i | \(0.597193\pi\) | |||||||
\(824\) | −9.70632 | + | 16.8118i | −0.338136 | + | 0.585668i | ||||
\(825\) | −26.4867 | − | 55.2871i | −0.922148 | − | 1.92485i | ||||
\(826\) | −12.5186 | − | 10.5044i | −0.435579 | − | 0.365495i | ||||
\(827\) | 4.95681 | − | 12.2685i | 0.172365 | − | 0.426619i | −0.816131 | − | 0.577868i | \(-0.803885\pi\) |
0.988496 | + | 0.151249i | \(0.0483294\pi\) | |||||||
\(828\) | 10.2870 | + | 4.58005i | 0.357496 | + | 0.159168i | ||||
\(829\) | 4.97897 | + | 47.3718i | 0.172927 | + | 1.64529i | 0.645328 | + | 0.763906i | \(0.276721\pi\) |
−0.472401 | + | 0.881384i | \(0.656613\pi\) | |||||||
\(830\) | 1.97625 | + | 6.15567i | 0.0685965 | + | 0.213667i | ||||
\(831\) | 26.6638 | − | 54.6689i | 0.924958 | − | 1.89644i | ||||
\(832\) | −2.68564 | + | 15.2310i | −0.0931077 | + | 0.528040i | ||||
\(833\) | −7.79364 | − | 11.5545i | −0.270033 | − | 0.400341i | ||||
\(834\) | −2.35374 | − | 5.82572i | −0.0815034 | − | 0.201728i | ||||
\(835\) | −30.2028 | − | 11.1131i | −1.04521 | − | 0.384585i | ||||
\(836\) | 30.0311 | + | 6.96987i | 1.03865 | + | 0.241058i | ||||
\(837\) | −3.37586 | + | 10.3898i | −0.116687 | + | 0.359125i | ||||
\(838\) | −2.07633 | − | 5.13911i | −0.0717258 | − | 0.177528i | ||||
\(839\) | −1.86638 | + | 53.4461i | −0.0644346 | + | 1.84516i | 0.352002 | + | 0.935999i | \(0.385501\pi\) |
−0.416436 | + | 0.909165i | \(0.636721\pi\) | |||||||
\(840\) | 5.74400 | + | 56.5589i | 0.198187 | + | 1.95147i | ||||
\(841\) | −16.2765 | − | 2.28751i | −0.561259 | − | 0.0788798i | ||||
\(842\) | 2.73427 | + | 0.784039i | 0.0942291 | + | 0.0270198i | ||||
\(843\) | −7.96813 | + | 13.8012i | −0.274437 | + | 0.475339i | ||||
\(844\) | 0.529687 | − | 5.03964i | 0.0182326 | − | 0.173471i | ||||
\(845\) | 5.47917 | + | 9.56758i | 0.188489 | + | 0.329135i | ||||
\(846\) | 7.94237 | + | 0.555385i | 0.273064 | + | 0.0190945i | ||||
\(847\) | 96.3918 | + | 42.9164i | 3.31206 | + | 1.47462i | ||||
\(848\) | −1.94900 | − | 0.414272i | −0.0669288 | − | 0.0142262i | ||||
\(849\) | −12.4461 | + | 4.53003i | −0.427151 | + | 0.155470i | ||||
\(850\) | 5.00978 | − | 2.18850i | 0.171834 | − | 0.0750649i | ||||
\(851\) | −14.8839 | + | 84.4110i | −0.510215 | + | 2.89357i | ||||
\(852\) | 0.552922 | − | 15.8336i | 0.0189428 | − | 0.542451i | ||||
\(853\) | 3.63383 | − | 14.5745i | 0.124420 | − | 0.499021i | −0.875456 | − | 0.483297i | \(-0.839439\pi\) |
0.999876 | − | 0.0157242i | \(-0.00500538\pi\) | |||||||
\(854\) | 23.4322 | − | 17.0245i | 0.801834 | − | 0.582566i | ||||
\(855\) | −10.4634 | − | 5.86395i | −0.357840 | − | 0.200543i | ||||
\(856\) | −19.7847 | − | 14.3745i | −0.676228 | − | 0.491309i | ||||
\(857\) | −22.7562 | + | 19.0947i | −0.777338 | + | 0.652264i | −0.942577 | − | 0.333990i | \(-0.891605\pi\) |
0.165239 | + | 0.986254i | \(0.447161\pi\) | |||||||
\(858\) | −17.5662 | − | 26.0430i | −0.599701 | − | 0.889093i | ||||
\(859\) | 34.4526 | + | 18.3188i | 1.17551 | + | 0.625029i | 0.938095 | − | 0.346379i | \(-0.112589\pi\) |
0.237414 | + | 0.971408i | \(0.423700\pi\) | |||||||
\(860\) | 4.43233 | + | 2.37670i | 0.151141 | + | 0.0810447i | ||||
\(861\) | −1.75402 | − | 2.24504i | −0.0597767 | − | 0.0765107i | ||||
\(862\) | −13.9156 | − | 15.4549i | −0.473968 | − | 0.526395i | ||||
\(863\) | −12.9566 | + | 2.75401i | −0.441048 | + | 0.0937477i | −0.423083 | − | 0.906091i | \(-0.639052\pi\) |
−0.0179651 | + | 0.999839i | \(0.505719\pi\) | |||||||
\(864\) | 7.56696 | − | 18.7289i | 0.257433 | − | 0.637169i | ||||
\(865\) | 3.91962 | − | 36.0746i | 0.133271 | − | 1.22657i | ||||
\(866\) | 2.47898 | − | 0.526924i | 0.0842393 | − | 0.0179056i | ||||
\(867\) | 29.1820 | − | 12.9927i | 0.991073 | − | 0.441254i | ||||
\(868\) | −14.3940 | + | 5.23899i | −0.488564 | + | 0.177823i | ||||
\(869\) | 0.824472 | − | 1.69042i | 0.0279683 | − | 0.0573435i | ||||
\(870\) | −1.48561 | − | 14.6283i | −0.0503671 | − | 0.495945i | ||||
\(871\) | −21.5998 | + | 6.19363i | −0.731880 | + | 0.209863i | ||||
\(872\) | −1.23797 | + | 4.96522i | −0.0419229 | + | 0.168144i | ||||
\(873\) | −0.113034 | − | 0.347883i | −0.00382562 | − | 0.0117740i | ||||
\(874\) | −28.2931 | − | 10.8983i | −0.957029 | − | 0.368641i | ||||
\(875\) | 32.5492 | − | 35.3931i | 1.10036 | − | 1.19650i | ||||
\(876\) | −0.503437 | + | 0.422434i | −0.0170096 | + | 0.0142727i | ||||
\(877\) | −0.971733 | + | 27.8268i | −0.0328131 | + | 0.939644i | 0.865664 | + | 0.500625i | \(0.166896\pi\) |
−0.898477 | + | 0.439020i | \(0.855326\pi\) | |||||||
\(878\) | −9.71170 | − | 19.9119i | −0.327754 | − | 0.671995i | ||||
\(879\) | −42.2132 | − | 40.7648i | −1.42382 | − | 1.37496i | ||||
\(880\) | 2.36989 | − | 1.70915i | 0.0798890 | − | 0.0576155i | ||||
\(881\) | 24.5150 | − | 10.9148i | 0.825930 | − | 0.367728i | 0.0501585 | − | 0.998741i | \(-0.484027\pi\) |
0.775772 | + | 0.631013i | \(0.217361\pi\) | |||||||
\(882\) | 6.38046 | + | 11.0513i | 0.214841 | + | 0.372116i | ||||
\(883\) | −6.21728 | − | 24.9362i | −0.209228 | − | 0.839168i | −0.979499 | − | 0.201451i | \(-0.935434\pi\) |
0.770270 | − | 0.637717i | \(-0.220121\pi\) | |||||||
\(884\) | −3.46499 | + | 2.16517i | −0.116540 | + | 0.0728224i | ||||
\(885\) | −8.55488 | + | 17.3850i | −0.287569 | + | 0.584391i | ||||
\(886\) | −24.5114 | − | 5.21005i | −0.823476 | − | 0.175035i | ||||
\(887\) | −0.0728161 | − | 2.08518i | −0.00244493 | − | 0.0700135i | −1.00000 | 0.000128694i | \(-0.999959\pi\) | |
0.997555 | − | 0.0698849i | \(-0.0222632\pi\) | |||||||
\(888\) | −65.0620 | − | 9.14386i | −2.18334 | − | 0.306848i | ||||
\(889\) | 25.3458 | − | 3.56212i | 0.850071 | − | 0.119470i | ||||
\(890\) | 7.25902 | − | 4.50060i | 0.243323 | − | 0.150861i | ||||
\(891\) | 24.9595 | + | 61.7770i | 0.836176 | + | 2.06961i | ||||
\(892\) | −23.3407 | − | 16.9580i | −0.781505 | − | 0.567797i | ||||
\(893\) | 31.2616 | + | 0.581886i | 1.04613 | + | 0.0194721i | ||||
\(894\) | 8.45887 | + | 6.14573i | 0.282907 | + | 0.205544i | ||||
\(895\) | −0.886924 | − | 28.2388i | −0.0296466 | − | 0.943920i | ||||
\(896\) | 25.5910 | − | 7.33811i | 0.854937 | − | 0.245149i | ||||
\(897\) | −19.7528 | − | 40.4992i | −0.659526 | − | 1.35223i | ||||
\(898\) | 11.8215 | − | 6.28561i | 0.394489 | − | 0.209754i | ||||
\(899\) | 9.99814 | − | 3.63903i | 0.333457 | − | 0.121368i | ||||
\(900\) | 6.87768 | − | 2.44875i | 0.229256 | − | 0.0816250i | ||||
\(901\) | −5.50946 | − | 9.54267i | −0.183547 | − | 0.317912i | ||||
\(902\) | −0.648653 | + | 1.60547i | −0.0215978 | + | 0.0534564i | ||||
\(903\) | 16.7282 | + | 1.16975i | 0.556680 | + | 0.0389269i | ||||
\(904\) | −33.4295 | − | 14.8838i | −1.11185 | − | 0.495027i | ||||
\(905\) | −22.1468 | + | 18.4513i | −0.736183 | + | 0.613342i | ||||
\(906\) | 3.66011 | + | 1.04952i | 0.121599 | + | 0.0348679i | ||||
\(907\) | −5.22446 | − | 29.6294i | −0.173475 | − | 0.983828i | −0.939889 | − | 0.341480i | \(-0.889072\pi\) |
0.766413 | − | 0.642348i | \(-0.222039\pi\) | |||||||
\(908\) | −17.1517 | + | 16.5632i | −0.569199 | + | 0.549669i | ||||
\(909\) | 3.86734 | − | 4.94997i | 0.128272 | − | 0.164180i | ||||
\(910\) | 13.8498 | − | 20.3786i | 0.459116 | − | 0.675542i | ||||
\(911\) | −2.89173 | − | 8.89983i | −0.0958072 | − | 0.294864i | 0.891656 | − | 0.452714i | \(-0.149544\pi\) |
−0.987463 | + | 0.157849i | \(0.949544\pi\) | |||||||
\(912\) | 0.642009 | − | 1.85754i | 0.0212591 | − | 0.0615093i | ||||
\(913\) | −5.90493 | + | 18.1735i | −0.195425 | + | 0.601456i | ||||
\(914\) | 22.4705 | + | 14.0412i | 0.743260 | + | 0.464440i | ||||
\(915\) | −26.2292 | − | 22.1662i | −0.867109 | − | 0.732791i | ||||
\(916\) | 4.46686 | + | 2.37507i | 0.147589 | + | 0.0784746i | ||||
\(917\) | 5.83888 | − | 11.9715i | 0.192817 | − | 0.395333i | ||||
\(918\) | −3.73925 | + | 1.36098i | −0.123414 | + | 0.0449189i | ||||
\(919\) | 14.6448 | − | 6.52027i | 0.483086 | − | 0.215084i | −0.150719 | − | 0.988577i | \(-0.548159\pi\) |
0.633805 | + | 0.773493i | \(0.281492\pi\) | |||||||
\(920\) | 43.8416 | − | 23.1140i | 1.44542 | − | 0.762048i | ||||
\(921\) | −37.1302 | − | 2.59640i | −1.22348 | − | 0.0855543i | ||||
\(922\) | 27.7624 | + | 1.94134i | 0.914307 | + | 0.0639346i | ||||
\(923\) | −12.3397 | + | 13.7046i | −0.406165 | + | 0.451092i | ||||
\(924\) | −31.2830 | + | 54.1838i | −1.02914 | + | 1.78252i | ||||
\(925\) | 30.7510 | + | 46.2876i | 1.01109 | + | 1.52193i | ||||
\(926\) | −4.75660 | − | 26.9760i | −0.156312 | − | 0.886488i | ||||
\(927\) | 8.23125 | − | 1.15683i | 0.270350 | − | 0.0379952i | ||||
\(928\) | −18.9112 | + | 5.42270i | −0.620790 | + | 0.178009i | ||||
\(929\) | −1.70034 | + | 6.81969i | −0.0557864 | + | 0.223747i | −0.991718 | − | 0.128435i | \(-0.959005\pi\) |
0.935932 | + | 0.352182i | \(0.114560\pi\) | |||||||
\(930\) | −6.92686 | − | 10.3476i | −0.227141 | − | 0.339312i | ||||
\(931\) | 27.2454 | + | 42.0608i | 0.892931 | + | 1.37849i | ||||
\(932\) | −20.6716 | −0.677119 | ||||||||
\(933\) | 42.9372 | − | 3.00246i | 1.40570 | − | 0.0982962i | ||||
\(934\) | −18.1831 | + | 23.2734i | −0.594970 | + | 0.761527i | ||||
\(935\) | 15.7935 | + | 3.41497i | 0.516502 | + | 0.111681i | ||||
\(936\) | 8.87086 | − | 4.71672i | 0.289953 | − | 0.154171i | ||||
\(937\) | −1.87938 | − | 53.8185i | −0.0613968 | − | 1.75817i | −0.506081 | − | 0.862486i | \(-0.668906\pi\) |
0.444685 | − | 0.895687i | \(-0.353316\pi\) | |||||||
\(938\) | −20.5319 | − | 22.8030i | −0.670391 | − | 0.744544i | ||||
\(939\) | −30.8363 | + | 34.2472i | −1.00631 | + | 1.11762i | ||||
\(940\) | −12.7838 | + | 14.0981i | −0.416962 | + | 0.459828i | ||||
\(941\) | −50.1864 | + | 31.3599i | −1.63603 | + | 1.02231i | −0.678239 | + | 0.734842i | \(0.737256\pi\) |
−0.957792 | + | 0.287463i | \(0.907188\pi\) | |||||||
\(942\) | −4.67130 | + | 44.4445i | −0.152199 | + | 1.44808i | ||||
\(943\) | −1.24187 | + | 2.15099i | −0.0404410 | + | 0.0700458i | ||||
\(944\) | −0.887728 | − | 0.254552i | −0.0288931 | − | 0.00828496i | ||||
\(945\) | −25.2616 | + | 24.2241i | −0.821759 | + | 0.788010i | ||||
\(946\) | −4.46783 | − | 9.16041i | −0.145262 | − | 0.297831i | ||||
\(947\) | −5.20247 | + | 1.49179i | −0.169058 | + | 0.0484765i | −0.359098 | − | 0.933300i | \(-0.616916\pi\) |
0.190041 | + | 0.981776i | \(0.439138\pi\) | |||||||
\(948\) | 0.652988 | + | 0.408032i | 0.0212081 | + | 0.0132523i | ||||
\(949\) | 0.764960 | 0.0248316 | ||||||||
\(950\) | −18.1569 | + | 7.53255i | −0.589087 | + | 0.244388i | ||||
\(951\) | 33.0045 | 1.07025 | ||||||||
\(952\) | −12.7075 | − | 7.94050i | −0.411851 | − | 0.257353i | ||||
\(953\) | 16.1306 | − | 4.62537i | 0.522520 | − | 0.149830i | −0.00400132 | − | 0.999992i | \(-0.501274\pi\) |
0.526522 | + | 0.850162i | \(0.323496\pi\) | |||||||
\(954\) | 4.42267 | + | 9.06782i | 0.143189 | + | 0.293582i | ||||
\(955\) | −48.4837 | + | 6.64054i | −1.56890 | + | 0.214883i | ||||
\(956\) | 34.7599 | + | 9.96724i | 1.12422 | + | 0.322364i | ||||
\(957\) | 21.7293 | − | 37.6363i | 0.702410 | − | 1.21661i | ||||
\(958\) | −1.55299 | + | 14.7757i | −0.0501749 | + | 0.477382i | ||||
\(959\) | 22.4317 | − | 14.0169i | 0.724356 | − | 0.452628i | ||||
\(960\) | 12.4442 | + | 21.7297i | 0.401634 | + | 0.701322i | ||||
\(961\) | −14.7138 | + | 16.3413i | −0.474638 | + | 0.527138i | ||||
\(962\) | 19.0540 | + | 21.1617i | 0.614327 | + | 0.682279i | ||||
\(963\) | 0.365443 | + | 10.4649i | 0.0117763 | + | 0.337228i | ||||
\(964\) | −25.1799 | + | 13.3884i | −0.810990 | + | 0.431211i | ||||
\(965\) | 0.207391 | + | 2.04210i | 0.00667616 | + | 0.0657375i | ||||
\(966\) | 37.8826 | − | 48.4875i | 1.21885 | − | 1.56006i | ||||
\(967\) | 7.50965 | − | 0.525126i | 0.241494 | − | 0.0168869i | 0.0515035 | − | 0.998673i | \(-0.483599\pi\) |
0.189991 | + | 0.981786i | \(0.439154\pi\) | |||||||
\(968\) | 70.5102 | 2.26629 | ||||||||
\(969\) | 10.0095 | − | 4.23512i | 0.321552 | − | 0.136052i | ||||
\(970\) | −0.562597 | − | 0.207007i | −0.0180639 | − | 0.00664659i | ||||
\(971\) | 7.61416 | − | 30.5387i | 0.244350 | − | 0.980035i | −0.715295 | − | 0.698822i | \(-0.753708\pi\) |
0.959646 | − | 0.281213i | \(-0.0907366\pi\) | |||||||
\(972\) | −13.7688 | + | 3.94813i | −0.441633 | + | 0.126636i | ||||
\(973\) | 14.4247 | − | 2.02726i | 0.462434 | − | 0.0649909i | ||||
\(974\) | 2.90738 | + | 16.4886i | 0.0931584 | + | 0.528327i | ||||
\(975\) | −27.3813 | − | 10.1841i | −0.876902 | − | 0.326153i | ||||
\(976\) | 0.818390 | − | 1.41749i | 0.0261960 | − | 0.0453729i | ||||
\(977\) | −33.1742 | + | 36.8437i | −1.06134 | + | 1.17873i | −0.0779984 | + | 0.996953i | \(0.524853\pi\) |
−0.983339 | + | 0.181781i | \(0.941814\pi\) | |||||||
\(978\) | −38.8142 | − | 2.71415i | −1.24114 | − | 0.0867890i | ||||
\(979\) | 25.1829 | + | 1.76096i | 0.804849 | + | 0.0562805i | ||||
\(980\) | −30.1906 | − | 4.35110i | −0.964404 | − | 0.138991i | ||||
\(981\) | 2.00167 | − | 0.891203i | 0.0639085 | − | 0.0284539i | ||||
\(982\) | −14.7089 | + | 5.35359i | −0.469379 | + | 0.170840i | ||||
\(983\) | −10.3978 | + | 21.3186i | −0.331638 | + | 0.679959i | −0.997831 | − | 0.0658203i | \(-0.979034\pi\) |
0.666193 | + | 0.745779i | \(0.267922\pi\) | |||||||
\(984\) | −1.68100 | − | 0.893806i | −0.0535885 | − | 0.0284935i | ||||
\(985\) | −7.00721 | + | 4.34448i | −0.223268 | + | 0.138427i | ||||
\(986\) | 3.28663 | + | 2.05371i | 0.104668 | + | 0.0654035i | ||||
\(987\) | −19.6085 | + | 60.3487i | −0.624145 | + | 1.92092i | ||||
\(988\) | 12.6017 | − | 7.55203i | 0.400914 | − | 0.240262i | ||||
\(989\) | −4.51759 | − | 13.9037i | −0.143651 | − | 0.442113i | ||||
\(990\) | −14.2071 | − | 4.12782i | −0.451531 | − | 0.131191i | ||||
\(991\) | 23.5274 | − | 30.1137i | 0.747372 | − | 0.956593i | −0.252567 | − | 0.967579i | \(-0.581275\pi\) |
0.999940 | + | 0.0109863i | \(0.00349711\pi\) | |||||||
\(992\) | −11.9849 | + | 11.5736i | −0.380519 | + | 0.367463i | ||||
\(993\) | −6.93356 | − | 39.3222i | −0.220030 | − | 1.24785i | ||||
\(994\) | −24.2072 | − | 6.94131i | −0.767806 | − | 0.220165i | ||||
\(995\) | −3.05430 | + | 12.0695i | −0.0968277 | + | 0.382630i | ||||
\(996\) | −7.14683 | − | 3.18197i | −0.226456 | − | 0.100825i | ||||
\(997\) | −50.3264 | − | 3.51917i | −1.59385 | − | 0.111453i | −0.754968 | − | 0.655761i | \(-0.772348\pi\) |
−0.838885 | + | 0.544308i | \(0.816792\pi\) | |||||||
\(998\) | −3.30228 | + | 8.17343i | −0.104532 | + | 0.258726i | ||||
\(999\) | −20.2244 | − | 35.0296i | −0.639871 | − | 1.10829i |
(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 | 475.2.bc.a.6.18 | ✓ | 1152 | |
19.16 | even | 9 | inner | 475.2.bc.a.206.31 | yes | 1152 | |
25.21 | even | 5 | inner | 475.2.bc.a.196.31 | yes | 1152 | |
475.396 | even | 45 | inner | 475.2.bc.a.396.18 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.6.18 | ✓ | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.196.31 | yes | 1152 | 25.21 | even | 5 | inner | |
475.2.bc.a.206.31 | yes | 1152 | 19.16 | even | 9 | inner | |
475.2.bc.a.396.18 | yes | 1152 | 475.396 | even | 45 | inner |