Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (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: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.7 | ||
Root | \(0.570443 - 1.29406i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.31 |
Dual form | 76.2.f.a.27.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.835469 | + | 1.14105i | 0.590765 | + | 0.806843i | ||||
\(3\) | 0.637123 | + | 1.10353i | 0.367843 | + | 0.637123i | 0.989228 | − | 0.146382i | \(-0.0467630\pi\) |
−0.621385 | + | 0.783505i | \(0.713430\pi\) | |||||||
\(4\) | −0.603985 | + | 1.90662i | −0.301992 | + | 0.953310i | ||||
\(5\) | −1.60333 | − | 2.77705i | −0.717030 | − | 1.24193i | −0.962171 | − | 0.272445i | \(-0.912168\pi\) |
0.245141 | − | 0.969487i | \(-0.421166\pi\) | |||||||
\(6\) | −0.726885 | + | 1.64895i | −0.296749 | + | 0.673182i | ||||
\(7\) | − | 1.25044i | − | 0.472622i | −0.971677 | − | 0.236311i | \(-0.924062\pi\) | ||
0.971677 | − | 0.236311i | \(-0.0759384\pi\) | |||||||
\(8\) | −2.68016 | + | 0.903746i | −0.947579 | + | 0.319522i | ||||
\(9\) | 0.688149 | − | 1.19191i | 0.229383 | − | 0.397303i | ||||
\(10\) | 1.82921 | − | 4.14961i | 0.578448 | − | 1.31222i | ||||
\(11\) | 2.11093i | 0.636469i | 0.948012 | + | 0.318234i | \(0.103090\pi\) | ||||
−0.948012 | + | 0.318234i | \(0.896910\pi\) | |||||||
\(12\) | −2.48882 | + | 0.548237i | −0.718462 | + | 0.158262i | ||||
\(13\) | 2.12978 | + | 1.22963i | 0.590695 | + | 0.341038i | 0.765372 | − | 0.643588i | \(-0.222555\pi\) |
−0.174678 | + | 0.984626i | \(0.555888\pi\) | |||||||
\(14\) | 1.42681 | − | 1.04470i | 0.381332 | − | 0.279209i | ||||
\(15\) | 2.04303 | − | 3.53864i | 0.527509 | − | 0.913673i | ||||
\(16\) | −3.27041 | − | 2.30314i | −0.817601 | − | 0.575785i | ||||
\(17\) | 0.765026 | + | 1.32506i | 0.185546 | + | 0.321375i | 0.943760 | − | 0.330630i | \(-0.107261\pi\) |
−0.758214 | + | 0.652005i | \(0.773928\pi\) | |||||||
\(18\) | 1.93495 | − | 0.210591i | 0.456073 | − | 0.0496367i | ||||
\(19\) | −3.76307 | + | 2.19984i | −0.863308 | + | 0.504678i | ||||
\(20\) | 6.26316 | − | 1.37965i | 1.40048 | − | 0.308498i | ||||
\(21\) | 1.37990 | − | 0.796684i | 0.301118 | − | 0.173851i | ||||
\(22\) | −2.40867 | + | 1.76361i | −0.513531 | + | 0.376004i | ||||
\(23\) | −7.61951 | − | 4.39913i | −1.58878 | − | 0.917282i | −0.993509 | − | 0.113756i | \(-0.963712\pi\) |
−0.595270 | − | 0.803526i | \(-0.702955\pi\) | |||||||
\(24\) | −2.70490 | − | 2.38184i | −0.552135 | − | 0.486190i | ||||
\(25\) | −2.64132 | + | 4.57491i | −0.528265 | + | 0.914981i | ||||
\(26\) | 0.376297 | + | 3.45750i | 0.0737980 | + | 0.678071i | ||||
\(27\) | 5.57648 | 1.07319 | ||||||||
\(28\) | 2.38411 | + | 0.755247i | 0.450555 | + | 0.142728i | ||||
\(29\) | −5.20937 | − | 3.00763i | −0.967356 | − | 0.558503i | −0.0689265 | − | 0.997622i | \(-0.521957\pi\) |
−0.898429 | + | 0.439119i | \(0.855291\pi\) | |||||||
\(30\) | 5.74465 | − | 0.625220i | 1.04883 | − | 0.114149i | ||||
\(31\) | 7.78947 | 1.39903 | 0.699515 | − | 0.714618i | \(-0.253399\pi\) | ||||
0.699515 | + | 0.714618i | \(0.253399\pi\) | |||||||
\(32\) | −0.104326 | − | 5.65589i | −0.0184425 | − | 0.999830i | ||||
\(33\) | −2.32947 | + | 1.34492i | −0.405509 | + | 0.234121i | ||||
\(34\) | −0.872807 | + | 1.97998i | −0.149685 | + | 0.339564i | ||||
\(35\) | −3.47253 | + | 2.00487i | −0.586965 | + | 0.338884i | ||||
\(36\) | 1.85689 | + | 2.03193i | 0.309481 | + | 0.338655i | ||||
\(37\) | 9.97599i | 1.64004i | 0.572334 | + | 0.820021i | \(0.306038\pi\) | ||||
−0.572334 | + | 0.820021i | \(0.693962\pi\) | |||||||
\(38\) | −5.65405 | − | 2.45595i | −0.917209 | − | 0.398407i | ||||
\(39\) | 3.13370i | 0.501793i | ||||||||
\(40\) | 6.80692 | + | 5.99392i | 1.07627 | + | 0.947722i | ||||
\(41\) | 1.09450 | − | 0.631908i | 0.170932 | − | 0.0986875i | −0.412093 | − | 0.911142i | \(-0.635202\pi\) |
0.583025 | + | 0.812454i | \(0.301869\pi\) | |||||||
\(42\) | 2.06192 | + | 0.908926i | 0.318161 | + | 0.140250i | ||||
\(43\) | −5.04619 | + | 2.91342i | −0.769537 | + | 0.444292i | −0.832709 | − | 0.553710i | \(-0.813211\pi\) |
0.0631725 | + | 0.998003i | \(0.479878\pi\) | |||||||
\(44\) | −4.02474 | − | 1.27497i | −0.606752 | − | 0.192209i | ||||
\(45\) | −4.41331 | −0.657898 | ||||||||
\(46\) | −1.34624 | − | 12.3696i | −0.198493 | − | 1.82379i | ||||
\(47\) | 6.12910 | + | 3.53864i | 0.894022 | + | 0.516164i | 0.875256 | − | 0.483660i | \(-0.160693\pi\) |
0.0187658 | + | 0.999824i | \(0.494026\pi\) | |||||||
\(48\) | 0.457931 | − | 5.07637i | 0.0660967 | − | 0.732711i | ||||
\(49\) | 5.43640 | 0.776629 | ||||||||
\(50\) | −7.42693 | + | 0.808311i | −1.05033 | + | 0.114312i | ||||
\(51\) | −0.974831 | + | 1.68846i | −0.136504 | + | 0.236431i | ||||
\(52\) | −3.63079 | + | 3.31801i | −0.503500 | + | 0.460125i | ||||
\(53\) | 6.18988 | + | 3.57373i | 0.850246 | + | 0.490890i | 0.860734 | − | 0.509055i | \(-0.170005\pi\) |
−0.0104881 | + | 0.999945i | \(0.503339\pi\) | |||||||
\(54\) | 4.65897 | + | 6.36303i | 0.634006 | + | 0.865899i | ||||
\(55\) | 5.86215 | − | 3.38451i | 0.790452 | − | 0.456367i | ||||
\(56\) | 1.13008 | + | 3.35138i | 0.151013 | + | 0.447846i | ||||
\(57\) | −4.82513 | − | 2.75109i | −0.639104 | − | 0.364391i | ||||
\(58\) | −0.920411 | − | 8.45692i | −0.120856 | − | 1.11045i | ||||
\(59\) | −2.83541 | − | 4.91107i | −0.369138 | − | 0.639367i | 0.620293 | − | 0.784371i | \(-0.287014\pi\) |
−0.989431 | + | 0.145004i | \(0.953681\pi\) | |||||||
\(60\) | 5.51288 | + | 6.03258i | 0.711710 | + | 0.778802i | ||||
\(61\) | 2.80998 | − | 4.86704i | 0.359782 | − | 0.623160i | −0.628142 | − | 0.778098i | \(-0.716185\pi\) |
0.987924 | + | 0.154938i | \(0.0495178\pi\) | |||||||
\(62\) | 6.50786 | + | 8.88817i | 0.826499 | + | 1.12880i | ||||
\(63\) | −1.49041 | − | 0.860489i | −0.187774 | − | 0.108411i | ||||
\(64\) | 6.36649 | − | 4.84436i | 0.795811 | − | 0.605545i | ||||
\(65\) | − | 7.88599i | − | 0.978137i | ||||||
\(66\) | −3.48082 | − | 1.53440i | −0.428459 | − | 0.188872i | ||||
\(67\) | −0.0235835 | + | 0.0408478i | −0.00288118 | + | 0.00499036i | −0.867462 | − | 0.497503i | \(-0.834250\pi\) |
0.864581 | + | 0.502493i | \(0.167584\pi\) | |||||||
\(68\) | −2.98846 | + | 0.658296i | −0.362404 | + | 0.0798301i | ||||
\(69\) | − | 11.2111i | − | 1.34966i | ||||||
\(70\) | −5.18884 | − | 2.28732i | −0.620185 | − | 0.273387i | ||||
\(71\) | −3.12595 | − | 5.41430i | −0.370982 | − | 0.642559i | 0.618735 | − | 0.785600i | \(-0.287645\pi\) |
−0.989717 | + | 0.143041i | \(0.954312\pi\) | |||||||
\(72\) | −0.767165 | + | 3.81641i | −0.0904112 | + | 0.449769i | ||||
\(73\) | 0.658098 | + | 1.13986i | 0.0770245 | + | 0.133410i | 0.901965 | − | 0.431809i | \(-0.142125\pi\) |
−0.824940 | + | 0.565220i | \(0.808791\pi\) | |||||||
\(74\) | −11.3831 | + | 8.33462i | −1.32326 | + | 0.968880i | ||||
\(75\) | −6.73139 | −0.777274 | ||||||||
\(76\) | −1.92143 | − | 8.50342i | −0.220403 | − | 0.975409i | ||||
\(77\) | 2.63959 | 0.300809 | ||||||||
\(78\) | −3.57570 | + | 2.61811i | −0.404869 | + | 0.296442i | ||||
\(79\) | −3.77194 | − | 6.53320i | −0.424377 | − | 0.735042i | 0.571985 | − | 0.820264i | \(-0.306174\pi\) |
−0.996362 | + | 0.0852216i | \(0.972840\pi\) | |||||||
\(80\) | −1.15239 | + | 12.7748i | −0.128841 | + | 1.42826i | ||||
\(81\) | 1.48846 | + | 2.57808i | 0.165384 | + | 0.286454i | ||||
\(82\) | 1.63546 | + | 0.720935i | 0.180606 | + | 0.0796140i | ||||
\(83\) | 7.84164i | 0.860732i | 0.902655 | + | 0.430366i | \(0.141615\pi\) | ||||
−0.902655 | + | 0.430366i | \(0.858385\pi\) | |||||||
\(84\) | 0.685538 | + | 3.11213i | 0.0747983 | + | 0.339561i | ||||
\(85\) | 2.45317 | − | 4.24902i | 0.266084 | − | 0.460871i | ||||
\(86\) | −7.54029 | − | 3.32388i | −0.813090 | − | 0.358423i | ||||
\(87\) | − | 7.66492i | − | 0.821766i | ||||||
\(88\) | −1.90774 | − | 5.65762i | −0.203366 | − | 0.603104i | ||||
\(89\) | −6.02458 | − | 3.47830i | −0.638605 | − | 0.368699i | 0.145472 | − | 0.989362i | \(-0.453530\pi\) |
−0.784077 | + | 0.620664i | \(0.786863\pi\) | |||||||
\(90\) | −3.68718 | − | 5.03581i | −0.388663 | − | 0.530820i | ||||
\(91\) | 1.53758 | − | 2.66316i | 0.161182 | − | 0.279175i | ||||
\(92\) | 12.9895 | − | 11.8705i | 1.35425 | − | 1.23759i | ||||
\(93\) | 4.96285 | + | 8.59591i | 0.514624 | + | 0.891354i | ||||
\(94\) | 1.08291 | + | 9.95003i | 0.111694 | + | 1.02627i | ||||
\(95\) | 12.1425 | + | 6.92315i | 1.24579 | + | 0.710300i | ||||
\(96\) | 6.17497 | − | 3.71863i | 0.630231 | − | 0.379531i | ||||
\(97\) | 8.51935 | − | 4.91865i | 0.865009 | − | 0.499413i | −0.000677265 | − | 1.00000i | \(-0.500216\pi\) |
0.865687 | + | 0.500586i | \(0.166882\pi\) | |||||||
\(98\) | 4.54194 | + | 6.20320i | 0.458805 | + | 0.626618i | ||||
\(99\) | 2.51603 | + | 1.45263i | 0.252871 | + | 0.145995i | ||||
\(100\) | −7.12729 | − | 7.79917i | −0.712729 | − | 0.779917i | ||||
\(101\) | −3.13338 | + | 5.42717i | −0.311783 | + | 0.540024i | −0.978748 | − | 0.205065i | \(-0.934259\pi\) |
0.666965 | + | 0.745089i | \(0.267593\pi\) | |||||||
\(102\) | −2.74105 | + | 0.298323i | −0.271405 | + | 0.0295384i | ||||
\(103\) | 0.526662 | 0.0518936 | 0.0259468 | − | 0.999663i | \(-0.491740\pi\) | ||||
0.0259468 | + | 0.999663i | \(0.491740\pi\) | |||||||
\(104\) | −6.81942 | − | 1.37082i | −0.668699 | − | 0.134420i | ||||
\(105\) | −4.42486 | − | 2.55469i | −0.431822 | − | 0.249312i | ||||
\(106\) | 1.09365 | + | 10.0487i | 0.106225 | + | 0.976016i | ||||
\(107\) | 6.91564 | 0.668560 | 0.334280 | − | 0.942474i | \(-0.391507\pi\) | ||||
0.334280 | + | 0.942474i | \(0.391507\pi\) | |||||||
\(108\) | −3.36811 | + | 10.6322i | −0.324096 | + | 1.02309i | ||||
\(109\) | −10.4902 | + | 6.05651i | −1.00478 | + | 0.580109i | −0.909658 | − | 0.415357i | \(-0.863657\pi\) |
−0.0951195 | + | 0.995466i | \(0.530323\pi\) | |||||||
\(110\) | 8.75953 | + | 3.86134i | 0.835189 | + | 0.368164i | ||||
\(111\) | −11.0088 | + | 6.35593i | −1.04491 | + | 0.603278i | ||||
\(112\) | −2.87994 | + | 4.08945i | −0.272129 | + | 0.386416i | ||||
\(113\) | − | 4.95424i | − | 0.466056i | −0.972470 | − | 0.233028i | \(-0.925137\pi\) | ||
0.972470 | − | 0.233028i | \(-0.0748633\pi\) | |||||||
\(114\) | −0.892116 | − | 7.80415i | −0.0835543 | − | 0.730926i | ||||
\(115\) | 28.2130i | 2.63087i | ||||||||
\(116\) | 8.88079 | − | 8.11573i | 0.824561 | − | 0.753526i | ||||
\(117\) | 2.93121 | − | 1.69233i | 0.270990 | − | 0.156456i | ||||
\(118\) | 3.23488 | − | 7.33838i | 0.297794 | − | 0.675553i | ||||
\(119\) | 1.65691 | − | 0.956619i | 0.151889 | − | 0.0876931i | ||||
\(120\) | −2.27762 | + | 11.3305i | −0.207918 | + | 1.03433i | ||||
\(121\) | 6.54398 | 0.594907 | ||||||||
\(122\) | 7.90118 | − | 0.859926i | 0.715339 | − | 0.0778541i | ||||
\(123\) | 1.39466 | + | 0.805207i | 0.125752 | + | 0.0726030i | ||||
\(124\) | −4.70472 | + | 14.8516i | −0.422496 | + | 1.33371i | ||||
\(125\) | 0.906349 | 0.0810663 | ||||||||
\(126\) | −0.263331 | − | 2.41954i | −0.0234594 | − | 0.215550i | ||||
\(127\) | 2.86262 | − | 4.95820i | 0.254016 | − | 0.439969i | −0.710612 | − | 0.703584i | \(-0.751582\pi\) |
0.964628 | + | 0.263616i | \(0.0849150\pi\) | |||||||
\(128\) | 10.8467 | + | 3.21716i | 0.958718 | + | 0.284360i | ||||
\(129\) | −6.43009 | − | 3.71241i | −0.566138 | − | 0.326860i | ||||
\(130\) | 8.99830 | − | 6.58850i | 0.789204 | − | 0.577850i | ||||
\(131\) | 16.1689 | − | 9.33512i | 1.41268 | − | 0.815613i | 0.417043 | − | 0.908887i | \(-0.363067\pi\) |
0.995640 | + | 0.0932738i | \(0.0297332\pi\) | |||||||
\(132\) | −1.15729 | − | 5.25373i | −0.100729 | − | 0.457279i | ||||
\(133\) | 2.75077 | + | 4.70549i | 0.238522 | + | 0.408018i | ||||
\(134\) | −0.0663126 | + | 0.00721715i | −0.00572854 | + | 0.000623466i | ||||
\(135\) | −8.94093 | − | 15.4861i | −0.769512 | − | 1.33283i | ||||
\(136\) | −3.24791 | − | 2.85999i | −0.278506 | − | 0.245242i | ||||
\(137\) | −9.96622 | + | 17.2620i | −0.851471 | + | 1.47479i | 0.0284092 | + | 0.999596i | \(0.490956\pi\) |
−0.879880 | + | 0.475195i | \(0.842377\pi\) | |||||||
\(138\) | 12.7925 | − | 9.36656i | 1.08897 | − | 0.797334i | ||||
\(139\) | −9.04013 | − | 5.21932i | −0.766774 | − | 0.442697i | 0.0649485 | − | 0.997889i | \(-0.479312\pi\) |
−0.831723 | + | 0.555191i | \(0.812645\pi\) | |||||||
\(140\) | −1.72516 | − | 7.83170i | −0.145803 | − | 0.661900i | ||||
\(141\) | 9.01819i | 0.759469i | ||||||||
\(142\) | 3.56635 | − | 8.09034i | 0.299281 | − | 0.678926i | ||||
\(143\) | −2.59566 | + | 4.49581i | −0.217060 | + | 0.375959i | ||||
\(144\) | −4.99566 | + | 2.31312i | −0.416305 | + | 0.192760i | ||||
\(145\) | 19.2889i | 1.60185i | ||||||||
\(146\) | −0.750814 | + | 1.70324i | −0.0621378 | + | 0.140961i | ||||
\(147\) | 3.46366 | + | 5.99923i | 0.285677 | + | 0.494808i | ||||
\(148\) | −19.0204 | − | 6.02534i | −1.56347 | − | 0.495280i | ||||
\(149\) | −4.83307 | − | 8.37113i | −0.395941 | − | 0.685789i | 0.597280 | − | 0.802033i | \(-0.296248\pi\) |
−0.993221 | + | 0.116243i | \(0.962915\pi\) | |||||||
\(150\) | −5.62386 | − | 7.68084i | −0.459187 | − | 0.627138i | ||||
\(151\) | −11.1033 | −0.903573 | −0.451787 | − | 0.892126i | \(-0.649213\pi\) | ||||
−0.451787 | + | 0.892126i | \(0.649213\pi\) | |||||||
\(152\) | 8.09752 | − | 9.29678i | 0.656796 | − | 0.754068i | ||||
\(153\) | 2.10581 | 0.170244 | ||||||||
\(154\) | 2.20529 | + | 3.01190i | 0.177708 | + | 0.242706i | ||||
\(155\) | −12.4891 | − | 21.6317i | −1.00315 | − | 1.73750i | ||||
\(156\) | −5.97478 | − | 1.89271i | −0.478365 | − | 0.151538i | ||||
\(157\) | −5.65983 | − | 9.80311i | −0.451704 | − | 0.782374i | 0.546788 | − | 0.837271i | \(-0.315850\pi\) |
−0.998492 | + | 0.0548972i | \(0.982517\pi\) | |||||||
\(158\) | 4.30336 | − | 9.76226i | 0.342357 | − | 0.776643i | ||||
\(159\) | 9.10762i | 0.722281i | ||||||||
\(160\) | −15.5394 | + | 9.35797i | −1.22850 | + | 0.739813i | ||||
\(161\) | −5.50085 | + | 9.52774i | −0.433527 | + | 0.750891i | ||||
\(162\) | −1.69816 | + | 3.85231i | −0.133420 | + | 0.302666i | ||||
\(163\) | − | 15.6778i | − | 1.22798i | −0.789312 | − | 0.613992i | \(-0.789563\pi\) | ||
0.789312 | − | 0.613992i | \(-0.210437\pi\) | |||||||
\(164\) | 0.543750 | + | 2.46845i | 0.0424597 | + | 0.192754i | ||||
\(165\) | 7.46982 | + | 4.31270i | 0.581524 | + | 0.335743i | ||||
\(166\) | −8.94769 | + | 6.55144i | −0.694476 | + | 0.508490i | ||||
\(167\) | −1.80453 | + | 3.12555i | −0.139639 | + | 0.241862i | −0.927360 | − | 0.374170i | \(-0.877928\pi\) |
0.787721 | + | 0.616032i | \(0.211261\pi\) | |||||||
\(168\) | −2.97834 | + | 3.38231i | −0.229784 | + | 0.260951i | ||||
\(169\) | −3.47603 | − | 6.02065i | −0.267387 | − | 0.463127i | ||||
\(170\) | 6.89789 | − | 0.750733i | 0.529044 | − | 0.0575786i | ||||
\(171\) | 0.0324579 | + | 5.99905i | 0.00248212 | + | 0.458759i | ||||
\(172\) | −2.50696 | − | 11.3808i | −0.191154 | − | 0.867780i | ||||
\(173\) | −4.46906 | + | 2.58021i | −0.339776 | + | 0.196170i | −0.660173 | − | 0.751113i | \(-0.729517\pi\) |
0.320397 | + | 0.947283i | \(0.396184\pi\) | |||||||
\(174\) | 8.74605 | − | 6.40380i | 0.663036 | − | 0.485471i | ||||
\(175\) | 5.72065 | + | 3.30282i | 0.432440 | + | 0.249669i | ||||
\(176\) | 4.86176 | − | 6.90359i | 0.366469 | − | 0.520378i | ||||
\(177\) | 3.61301 | − | 6.25791i | 0.271570 | − | 0.470373i | ||||
\(178\) | −1.06445 | − | 9.78035i | −0.0797836 | − | 0.733068i | ||||
\(179\) | 2.76216 | 0.206454 | 0.103227 | − | 0.994658i | \(-0.467083\pi\) | ||||
0.103227 | + | 0.994658i | \(0.467083\pi\) | |||||||
\(180\) | 2.66557 | − | 8.41451i | 0.198680 | − | 0.627181i | ||||
\(181\) | 2.07870 | + | 1.20014i | 0.154509 | + | 0.0892056i | 0.575261 | − | 0.817970i | \(-0.304901\pi\) |
−0.420752 | + | 0.907176i | \(0.638234\pi\) | |||||||
\(182\) | 4.32339 | − | 0.470537i | 0.320471 | − | 0.0348785i | ||||
\(183\) | 7.16122 | 0.529373 | ||||||||
\(184\) | 24.3972 | + | 4.90425i | 1.79858 | + | 0.361546i | ||||
\(185\) | 27.7038 | − | 15.9948i | 2.03682 | − | 1.17596i | ||||
\(186\) | −5.66205 | + | 12.8445i | −0.415161 | + | 0.941802i | ||||
\(187\) | −2.79711 | + | 1.61491i | −0.204545 | + | 0.118094i | ||||
\(188\) | −10.4487 | + | 9.54859i | −0.762052 | + | 0.696403i | ||||
\(189\) | − | 6.97305i | − | 0.507215i | ||||||
\(190\) | 2.24502 | + | 19.6393i | 0.162871 | + | 1.42478i | ||||
\(191\) | 4.38525i | 0.317305i | 0.987334 | + | 0.158653i | \(0.0507150\pi\) | ||||
−0.987334 | + | 0.158653i | \(0.949285\pi\) | |||||||
\(192\) | 9.40213 | + | 3.93915i | 0.678540 | + | 0.284284i | ||||
\(193\) | −7.76503 | + | 4.48314i | −0.558939 | + | 0.322703i | −0.752719 | − | 0.658341i | \(-0.771258\pi\) |
0.193781 | + | 0.981045i | \(0.437925\pi\) | |||||||
\(194\) | 12.7301 | + | 5.61162i | 0.913966 | + | 0.402891i | ||||
\(195\) | 8.70243 | − | 5.02435i | 0.623194 | − | 0.359801i | ||||
\(196\) | −3.28350 | + | 10.3652i | −0.234536 | + | 0.740368i | ||||
\(197\) | 1.39218 | 0.0991890 | 0.0495945 | − | 0.998769i | \(-0.484207\pi\) | ||||
0.0495945 | + | 0.998769i | \(0.484207\pi\) | |||||||
\(198\) | 0.444542 | + | 4.08455i | 0.0315922 | + | 0.290276i | ||||
\(199\) | −0.241956 | − | 0.139694i | −0.0171518 | − | 0.00990261i | 0.491400 | − | 0.870934i | \(-0.336485\pi\) |
−0.508551 | + | 0.861032i | \(0.669819\pi\) | |||||||
\(200\) | 2.94461 | − | 14.6486i | 0.208215 | − | 1.03581i | ||||
\(201\) | −0.0601024 | −0.00423929 | ||||||||
\(202\) | −8.81051 | + | 0.958893i | −0.619905 | + | 0.0674675i | ||||
\(203\) | −3.76086 | + | 6.51400i | −0.263961 | + | 0.457193i | ||||
\(204\) | −2.63046 | − | 2.87843i | −0.184169 | − | 0.201531i | ||||
\(205\) | −3.50968 | − | 2.02631i | −0.245126 | − | 0.141524i | ||||
\(206\) | 0.440010 | + | 0.600948i | 0.0306569 | + | 0.0418700i | ||||
\(207\) | −10.4867 | + | 6.05451i | −0.728877 | + | 0.420817i | ||||
\(208\) | −4.13324 | − | 8.92656i | −0.286588 | − | 0.618946i | ||||
\(209\) | −4.64371 | − | 7.94357i | −0.321212 | − | 0.549468i | ||||
\(210\) | −0.781800 | − | 7.18334i | −0.0539493 | − | 0.495698i | ||||
\(211\) | 0.0832510 | + | 0.144195i | 0.00573123 | + | 0.00992679i | 0.868877 | − | 0.495028i | \(-0.164842\pi\) |
−0.863146 | + | 0.504955i | \(0.831509\pi\) | |||||||
\(212\) | −10.5523 | + | 9.64328i | −0.724738 | + | 0.662303i | ||||
\(213\) | 3.98323 | − | 6.89915i | 0.272926 | − | 0.472722i | ||||
\(214\) | 5.77780 | + | 7.89108i | 0.394962 | + | 0.539423i | ||||
\(215\) | 16.1814 | + | 9.34234i | 1.10356 | + | 0.637142i | ||||
\(216\) | −14.9458 | + | 5.03972i | −1.01694 | + | 0.342909i | ||||
\(217\) | − | 9.74027i | − | 0.661212i | ||||||
\(218\) | −15.6750 | − | 6.90979i | −1.06165 | − | 0.467990i | ||||
\(219\) | −0.838578 | + | 1.45246i | −0.0566659 | + | 0.0981481i | ||||
\(220\) | 2.91233 | + | 13.2211i | 0.196350 | + | 0.891365i | ||||
\(221\) | 3.76279i | 0.253113i | ||||||||
\(222\) | −16.4499 | − | 7.25139i | −1.10405 | − | 0.486681i | ||||
\(223\) | 5.86577 | + | 10.1598i | 0.392801 | + | 0.680352i | 0.992818 | − | 0.119636i | \(-0.0381727\pi\) |
−0.600017 | + | 0.799987i | \(0.704839\pi\) | |||||||
\(224\) | −7.07235 | + | 0.130454i | −0.472542 | + | 0.00871633i | ||||
\(225\) | 3.63525 | + | 6.29643i | 0.242350 | + | 0.419762i | ||||
\(226\) | 5.65303 | − | 4.13911i | 0.376034 | − | 0.275330i | ||||
\(227\) | 8.78264 | 0.582924 | 0.291462 | − | 0.956582i | \(-0.405858\pi\) | ||||
0.291462 | + | 0.956582i | \(0.405858\pi\) | |||||||
\(228\) | 8.15959 | − | 7.53807i | 0.540382 | − | 0.499221i | ||||
\(229\) | −6.53352 | −0.431747 | −0.215874 | − | 0.976421i | \(-0.569260\pi\) | ||||
−0.215874 | + | 0.976421i | \(0.569260\pi\) | |||||||
\(230\) | −32.1924 | + | 23.5711i | −2.12270 | + | 1.55423i | ||||
\(231\) | 1.68174 | + | 2.91286i | 0.110651 | + | 0.191652i | ||||
\(232\) | 16.6801 | + | 3.35298i | 1.09510 | + | 0.220134i | ||||
\(233\) | 13.1315 | + | 22.7444i | 0.860274 | + | 1.49004i | 0.871664 | + | 0.490103i | \(0.163041\pi\) |
−0.0113904 | + | 0.999935i | \(0.503626\pi\) | |||||||
\(234\) | 4.37997 | + | 1.93076i | 0.286328 | + | 0.126218i | ||||
\(235\) | − | 22.6944i | − | 1.48042i | ||||||
\(236\) | 11.0761 | − | 2.43984i | 0.720992 | − | 0.158820i | ||||
\(237\) | 4.80638 | − | 8.32490i | 0.312208 | − | 0.540761i | ||||
\(238\) | 2.47585 | + | 1.09139i | 0.160485 | + | 0.0707445i | ||||
\(239\) | 23.5704i | 1.52464i | 0.647198 | + | 0.762322i | \(0.275941\pi\) | ||||
−0.647198 | + | 0.762322i | \(0.724059\pi\) | |||||||
\(240\) | −14.8315 | + | 6.86739i | −0.957371 | + | 0.443288i | ||||
\(241\) | −13.5642 | − | 7.83128i | −0.873746 | − | 0.504457i | −0.00515448 | − | 0.999987i | \(-0.501641\pi\) |
−0.868591 | + | 0.495529i | \(0.834974\pi\) | |||||||
\(242\) | 5.46729 | + | 7.46700i | 0.351451 | + | 0.479997i | ||||
\(243\) | 6.46806 | − | 11.2030i | 0.414926 | − | 0.718673i | ||||
\(244\) | 7.58240 | + | 8.29719i | 0.485414 | + | 0.531173i | ||||
\(245\) | −8.71633 | − | 15.0971i | −0.556866 | − | 0.964520i | ||||
\(246\) | 0.246413 | + | 2.26410i | 0.0157108 | + | 0.144354i | ||||
\(247\) | −10.7195 | + | 0.0579979i | −0.682065 | + | 0.00369032i | ||||
\(248\) | −20.8770 | + | 7.03970i | −1.32569 | + | 0.447022i | ||||
\(249\) | −8.65348 | + | 4.99609i | −0.548392 | + | 0.316614i | ||||
\(250\) | 0.757226 | + | 1.03419i | 0.0478912 | + | 0.0654078i | ||||
\(251\) | −22.1575 | − | 12.7926i | −1.39857 | − | 0.807463i | −0.404324 | − | 0.914616i | \(-0.632493\pi\) |
−0.994243 | + | 0.107153i | \(0.965827\pi\) | |||||||
\(252\) | 2.54081 | − | 2.32192i | 0.160056 | − | 0.146268i | ||||
\(253\) | 9.28625 | − | 16.0842i | 0.583821 | − | 1.01121i | ||||
\(254\) | 8.04917 | − | 0.876033i | 0.505050 | − | 0.0549672i | ||||
\(255\) | 6.25189 | 0.391509 | ||||||||
\(256\) | 5.39110 | + | 15.0644i | 0.336944 | + | 0.941525i | ||||
\(257\) | 17.4440 | + | 10.0713i | 1.08813 | + | 0.628229i | 0.933077 | − | 0.359677i | \(-0.117113\pi\) |
0.155049 | + | 0.987907i | \(0.450447\pi\) | |||||||
\(258\) | −1.13609 | − | 10.4386i | −0.0707300 | − | 0.649882i | ||||
\(259\) | 12.4744 | 0.775120 | ||||||||
\(260\) | 15.0356 | + | 4.76302i | 0.932468 | + | 0.295390i | ||||
\(261\) | −7.16964 | + | 4.13939i | −0.443790 | + | 0.256222i | ||||
\(262\) | 24.1604 | + | 10.6503i | 1.49264 | + | 0.657978i | ||||
\(263\) | −3.14828 | + | 1.81766i | −0.194131 | + | 0.112082i | −0.593915 | − | 0.804528i | \(-0.702419\pi\) |
0.399784 | + | 0.916609i | \(0.369085\pi\) | |||||||
\(264\) | 5.02788 | − | 5.70985i | 0.309445 | − | 0.351417i | ||||
\(265\) | − | 22.9194i | − | 1.40793i | ||||||
\(266\) | −3.07102 | + | 7.07005i | −0.188296 | + | 0.433493i | ||||
\(267\) | − | 8.86441i | − | 0.542493i | ||||||
\(268\) | −0.0636372 | − | 0.0696363i | −0.00388726 | − | 0.00425371i | ||||
\(269\) | 15.9194 | − | 9.19106i | 0.970622 | − | 0.560389i | 0.0711964 | − | 0.997462i | \(-0.477318\pi\) |
0.899426 | + | 0.437073i | \(0.143985\pi\) | |||||||
\(270\) | 10.2006 | − | 23.1402i | 0.620787 | − | 1.40827i | ||||
\(271\) | −16.7304 | + | 9.65930i | −1.01630 | + | 0.586761i | −0.913030 | − | 0.407893i | \(-0.866264\pi\) |
−0.103269 | + | 0.994653i | \(0.532930\pi\) | |||||||
\(272\) | 0.549861 | − | 6.09545i | 0.0333402 | − | 0.369591i | ||||
\(273\) | 3.91850 | 0.237159 | ||||||||
\(274\) | −28.0232 | + | 3.04991i | −1.69295 | + | 0.184252i | ||||
\(275\) | −9.65730 | − | 5.57564i | −0.582357 | − | 0.336224i | ||||
\(276\) | 21.3754 | + | 6.77136i | 1.28665 | + | 0.407588i | ||||
\(277\) | −16.5581 | −0.994879 | −0.497440 | − | 0.867499i | \(-0.665726\pi\) | ||||
−0.497440 | + | 0.867499i | \(0.665726\pi\) | |||||||
\(278\) | −1.59724 | − | 14.6758i | −0.0957964 | − | 0.880197i | ||||
\(279\) | 5.36031 | − | 9.28434i | 0.320914 | − | 0.555839i | ||||
\(280\) | 7.49504 | − | 8.51164i | 0.447914 | − | 0.508668i | ||||
\(281\) | 3.45491 | + | 1.99469i | 0.206103 | + | 0.118993i | 0.599499 | − | 0.800376i | \(-0.295367\pi\) |
−0.393396 | + | 0.919369i | \(0.628700\pi\) | |||||||
\(282\) | −10.2902 | + | 7.53442i | −0.612772 | + | 0.448668i | ||||
\(283\) | 12.8457 | − | 7.41645i | 0.763596 | − | 0.440862i | −0.0669896 | − | 0.997754i | \(-0.521339\pi\) |
0.830585 | + | 0.556892i | \(0.188006\pi\) | |||||||
\(284\) | 12.2110 | − | 2.68984i | 0.724592 | − | 0.159613i | ||||
\(285\) | 0.0963638 | + | 17.8105i | 0.00570810 | + | 1.05500i | ||||
\(286\) | −7.29853 | + | 0.794337i | −0.431571 | + | 0.0469701i | ||||
\(287\) | −0.790163 | − | 1.36860i | −0.0466419 | − | 0.0807861i | ||||
\(288\) | −6.81310 | − | 3.76775i | −0.401466 | − | 0.222017i | ||||
\(289\) | 7.32947 | − | 12.6950i | 0.431145 | − | 0.746766i | ||||
\(290\) | −22.0095 | + | 16.1152i | −1.29245 | + | 0.946320i | ||||
\(291\) | 10.8558 | + | 6.26757i | 0.636375 | + | 0.367412i | ||||
\(292\) | −2.57076 | + | 0.566285i | −0.150442 | + | 0.0331394i | ||||
\(293\) | 22.9900i | 1.34309i | 0.740963 | + | 0.671546i | \(0.234369\pi\) | ||||
−0.740963 | + | 0.671546i | \(0.765631\pi\) | |||||||
\(294\) | −3.95164 | + | 8.96436i | −0.230464 | + | 0.522812i | ||||
\(295\) | −9.09217 | + | 15.7481i | −0.529367 | + | 0.916890i | ||||
\(296\) | −9.01575 | − | 26.7372i | −0.524030 | − | 1.55407i | ||||
\(297\) | 11.7715i | 0.683055i | ||||||||
\(298\) | 5.51398 | − | 12.5086i | 0.319416 | − | 0.724603i | ||||
\(299\) | −10.8186 | − | 18.7383i | −0.625655 | − | 1.08367i | ||||
\(300\) | 4.06566 | − | 12.8342i | 0.234731 | − | 0.740983i | ||||
\(301\) | 3.64306 | + | 6.30996i | 0.209982 | + | 0.363700i | ||||
\(302\) | −9.27645 | − | 12.6694i | −0.533800 | − | 0.729042i | ||||
\(303\) | −7.98539 | −0.458749 | ||||||||
\(304\) | 17.3733 | + | 1.47250i | 0.996427 | + | 0.0844538i | ||||
\(305\) | −18.0213 | −1.03190 | ||||||||
\(306\) | 1.75933 | + | 2.40283i | 0.100574 | + | 0.137360i | ||||
\(307\) | 10.3144 | + | 17.8650i | 0.588673 | + | 1.01961i | 0.994407 | + | 0.105620i | \(0.0336827\pi\) |
−0.405734 | + | 0.913991i | \(0.632984\pi\) | |||||||
\(308\) | −1.59427 | + | 5.03270i | −0.0908421 | + | 0.286764i | ||||
\(309\) | 0.335549 | + | 0.581187i | 0.0190887 | + | 0.0330626i | ||||
\(310\) | 14.2486 | − | 32.3233i | 0.809267 | − | 1.83584i | ||||
\(311\) | 3.16368i | 0.179396i | 0.995969 | + | 0.0896978i | \(0.0285901\pi\) | ||||
−0.995969 | + | 0.0896978i | \(0.971410\pi\) | |||||||
\(312\) | −2.83207 | − | 8.39881i | −0.160334 | − | 0.475489i | ||||
\(313\) | −7.67203 | + | 13.2883i | −0.433649 | + | 0.751101i | −0.997184 | − | 0.0749904i | \(-0.976107\pi\) |
0.563536 | + | 0.826092i | \(0.309441\pi\) | |||||||
\(314\) | 6.45722 | − | 14.6483i | 0.364402 | − | 0.826653i | ||||
\(315\) | 5.51858i | 0.310937i | ||||||||
\(316\) | 14.7345 | − | 3.24572i | 0.828882 | − | 0.182586i | ||||
\(317\) | −2.28007 | − | 1.31640i | −0.128061 | − | 0.0739362i | 0.434601 | − | 0.900623i | \(-0.356889\pi\) |
−0.562662 | + | 0.826687i | \(0.690223\pi\) | |||||||
\(318\) | −10.3922 | + | 7.60913i | −0.582768 | + | 0.426699i | ||||
\(319\) | 6.34889 | − | 10.9966i | 0.355470 | − | 0.615692i | ||||
\(320\) | −23.6606 | − | 9.91293i | −1.32267 | − | 0.554149i | ||||
\(321\) | 4.40611 | + | 7.63161i | 0.245925 | + | 0.425955i | ||||
\(322\) | −15.4674 | + | 1.68340i | −0.861965 | + | 0.0938121i | ||||
\(323\) | −5.79377 | − | 3.30337i | −0.322374 | − | 0.183804i | ||||
\(324\) | −5.81443 | + | 1.28080i | −0.323024 | + | 0.0711556i | ||||
\(325\) | −11.2509 | + | 6.49569i | −0.624086 | + | 0.360316i | ||||
\(326\) | 17.8892 | − | 13.0983i | 0.990790 | − | 0.725450i | ||||
\(327\) | −13.3671 | − | 7.71749i | −0.739201 | − | 0.426778i | ||||
\(328\) | −2.36234 | + | 2.68276i | −0.130438 | + | 0.148131i | ||||
\(329\) | 4.42486 | − | 7.66408i | 0.243950 | − | 0.422534i | ||||
\(330\) | 1.31979 | + | 12.1265i | 0.0726523 | + | 0.667545i | ||||
\(331\) | 9.30930 | 0.511685 | 0.255843 | − | 0.966718i | \(-0.417647\pi\) | ||||
0.255843 | + | 0.966718i | \(0.417647\pi\) | |||||||
\(332\) | −14.9510 | − | 4.73623i | −0.820544 | − | 0.259934i | ||||
\(333\) | 11.8905 | + | 6.86496i | 0.651593 | + | 0.376198i | ||||
\(334\) | −5.07403 | + | 0.552233i | −0.277639 | + | 0.0302168i | ||||
\(335\) | 0.151248 | 0.00826358 | ||||||||
\(336\) | −6.34770 | − | 0.572616i | −0.346295 | − | 0.0312388i | ||||
\(337\) | −3.28961 | + | 1.89926i | −0.179196 | + | 0.103459i | −0.586915 | − | 0.809648i | \(-0.699658\pi\) |
0.407719 | + | 0.913108i | \(0.366324\pi\) | |||||||
\(338\) | 3.96575 | − | 8.99638i | 0.215708 | − | 0.489339i | ||||
\(339\) | 5.46715 | − | 3.15646i | 0.296935 | − | 0.171435i | ||||
\(340\) | 6.61959 | + | 7.24362i | 0.358998 | + | 0.392840i | ||||
\(341\) | 16.4430i | 0.890439i | ||||||||
\(342\) | −6.81810 | + | 5.04906i | −0.368680 | + | 0.273022i | ||||
\(343\) | − | 15.5510i | − | 0.839674i | ||||||
\(344\) | 10.8916 | − | 12.3689i | 0.587235 | − | 0.666886i | ||||
\(345\) | −31.1339 | + | 17.9751i | −1.67619 | + | 0.967749i | ||||
\(346\) | −6.67791 | − | 2.94373i | −0.359007 | − | 0.158256i | ||||
\(347\) | −3.07657 | + | 1.77626i | −0.165159 | + | 0.0953546i | −0.580301 | − | 0.814402i | \(-0.697065\pi\) |
0.415142 | + | 0.909757i | \(0.363732\pi\) | |||||||
\(348\) | 14.6141 | + | 4.62949i | 0.783398 | + | 0.248167i | ||||
\(349\) | −1.91850 | −0.102695 | −0.0513475 | − | 0.998681i | \(-0.516352\pi\) | ||||
−0.0513475 | + | 0.998681i | \(0.516352\pi\) | |||||||
\(350\) | 1.01074 | + | 9.28693i | 0.0540266 | + | 0.496407i | ||||
\(351\) | 11.8767 | + | 6.85700i | 0.633930 | + | 0.366000i | ||||
\(352\) | 11.9392 | − | 0.220226i | 0.636361 | − | 0.0117381i | ||||
\(353\) | −7.11843 | −0.378876 | −0.189438 | − | 0.981893i | \(-0.560667\pi\) | ||||
−0.189438 | + | 0.981893i | \(0.560667\pi\) | |||||||
\(354\) | 10.1591 | − | 1.10567i | 0.539952 | − | 0.0587657i | ||||
\(355\) | −10.0238 | + | 17.3618i | −0.532010 | + | 0.921469i | ||||
\(356\) | 10.2705 | − | 9.38576i | 0.544338 | − | 0.497444i | ||||
\(357\) | 2.11131 | + | 1.21897i | 0.111743 | + | 0.0645146i | ||||
\(358\) | 2.30770 | + | 3.15176i | 0.121966 | + | 0.166576i | ||||
\(359\) | −7.25210 | + | 4.18700i | −0.382751 | + | 0.220982i | −0.679015 | − | 0.734125i | \(-0.737593\pi\) |
0.296263 | + | 0.955106i | \(0.404259\pi\) | |||||||
\(360\) | 11.8284 | − | 3.98851i | 0.623410 | − | 0.210213i | ||||
\(361\) | 9.32139 | − | 16.5563i | 0.490600 | − | 0.871385i | ||||
\(362\) | 0.367273 | + | 3.37458i | 0.0193034 | + | 0.177364i | ||||
\(363\) | 4.16932 | + | 7.22147i | 0.218833 | + | 0.379029i | ||||
\(364\) | 4.14897 | + | 4.54009i | 0.217465 | + | 0.237965i | ||||
\(365\) | 2.11029 | − | 3.65513i | 0.110458 | − | 0.191318i | ||||
\(366\) | 5.98298 | + | 8.17130i | 0.312735 | + | 0.427121i | ||||
\(367\) | −19.7381 | − | 11.3958i | −1.03032 | − | 0.594857i | −0.113246 | − | 0.993567i | \(-0.536125\pi\) |
−0.917077 | + | 0.398710i | \(0.869458\pi\) | |||||||
\(368\) | 14.7871 | + | 31.9357i | 0.770830 | + | 1.66477i | ||||
\(369\) | − | 1.73939i | − | 0.0905489i | ||||||
\(370\) | 41.3965 | + | 18.2482i | 2.15210 | + | 0.948680i | ||||
\(371\) | 4.46874 | − | 7.74008i | 0.232005 | − | 0.401845i | ||||
\(372\) | −19.3866 | + | 4.27048i | −1.00515 | + | 0.221414i | ||||
\(373\) | − | 23.5670i | − | 1.22025i | −0.792305 | − | 0.610125i | \(-0.791119\pi\) | ||
0.792305 | − | 0.610125i | \(-0.208881\pi\) | |||||||
\(374\) | −4.17960 | − | 1.84243i | −0.216122 | − | 0.0952700i | ||||
\(375\) | 0.577455 | + | 1.00018i | 0.0298197 | + | 0.0516492i | ||||
\(376\) | −19.6250 | − | 3.94496i | −1.01208 | − | 0.203446i | ||||
\(377\) | −7.39654 | − | 12.8112i | −0.380941 | − | 0.659809i | ||||
\(378\) | 7.95659 | − | 5.82577i | 0.409243 | − | 0.299645i | ||||
\(379\) | 38.1884 | 1.96161 | 0.980804 | − | 0.194995i | \(-0.0624689\pi\) | ||||
0.980804 | + | 0.194995i | \(0.0624689\pi\) | |||||||
\(380\) | −20.5337 | + | 18.9697i | −1.05336 | + | 0.973123i | ||||
\(381\) | 7.29535 | 0.373752 | ||||||||
\(382\) | −5.00378 | + | 3.66374i | −0.256016 | + | 0.187453i | ||||
\(383\) | 10.8906 | + | 18.8631i | 0.556483 | + | 0.963857i | 0.997786 | + | 0.0664990i | \(0.0211829\pi\) |
−0.441303 | + | 0.897358i | \(0.645484\pi\) | |||||||
\(384\) | 3.36042 | + | 14.0193i | 0.171486 | + | 0.715421i | ||||
\(385\) | −4.23213 | − | 7.33026i | −0.215689 | − | 0.373585i | ||||
\(386\) | −11.6029 | − | 5.11475i | −0.590573 | − | 0.260334i | ||||
\(387\) | 8.01946i | 0.407652i | ||||||||
\(388\) | 4.23244 | + | 19.2140i | 0.214870 | + | 0.975441i | ||||
\(389\) | −13.4725 | + | 23.3351i | −0.683084 | + | 1.18314i | 0.290950 | + | 0.956738i | \(0.406029\pi\) |
−0.974035 | + | 0.226399i | \(0.927305\pi\) | |||||||
\(390\) | 13.0036 | + | 5.73221i | 0.658464 | + | 0.290262i | ||||
\(391\) | − | 13.4618i | − | 0.680792i | ||||||
\(392\) | −14.5704 | + | 4.91312i | −0.735917 | + | 0.248150i | ||||
\(393\) | 20.6032 | + | 11.8952i | 1.03929 | + | 0.600035i | ||||
\(394\) | 1.16313 | + | 1.58855i | 0.0585975 | + | 0.0800300i | ||||
\(395\) | −12.0953 | + | 20.9497i | −0.608582 | + | 1.05410i | ||||
\(396\) | −4.28927 | + | 3.91975i | −0.215544 | + | 0.196975i | ||||
\(397\) | 2.35770 | + | 4.08365i | 0.118329 | + | 0.204953i | 0.919106 | − | 0.394011i | \(-0.128913\pi\) |
−0.800776 | + | 0.598964i | \(0.795579\pi\) | |||||||
\(398\) | −0.0427497 | − | 0.392794i | −0.00214285 | − | 0.0196890i | ||||
\(399\) | −3.44007 | + | 6.03353i | −0.172219 | + | 0.302054i | ||||
\(400\) | 19.1748 | − | 8.87846i | 0.958742 | − | 0.443923i | ||||
\(401\) | 4.16941 | − | 2.40721i | 0.208210 | − | 0.120210i | −0.392269 | − | 0.919850i | \(-0.628310\pi\) |
0.600479 | + | 0.799640i | \(0.294976\pi\) | |||||||
\(402\) | −0.0502136 | − | 0.0685797i | −0.00250443 | − | 0.00342045i | ||||
\(403\) | 16.5899 | + | 9.57816i | 0.826400 | + | 0.477122i | ||||
\(404\) | −8.45505 | − | 9.25209i | −0.420654 | − | 0.460309i | ||||
\(405\) | 4.77297 | − | 8.26703i | 0.237171 | − | 0.410792i | ||||
\(406\) | −10.5749 | + | 1.15092i | −0.524822 | + | 0.0571191i | ||||
\(407\) | −21.0586 | −1.04384 | ||||||||
\(408\) | 1.08676 | − | 5.40633i | 0.0538029 | − | 0.267653i | ||||
\(409\) | 12.2147 | + | 7.05216i | 0.603978 | + | 0.348707i | 0.770605 | − | 0.637313i | \(-0.219954\pi\) |
−0.166627 | + | 0.986020i | \(0.553288\pi\) | |||||||
\(410\) | −0.620103 | − | 5.69763i | −0.0306247 | − | 0.281386i | ||||
\(411\) | −25.3988 | −1.25283 | ||||||||
\(412\) | −0.318096 | + | 1.00415i | −0.0156715 | + | 0.0494707i | ||||
\(413\) | −6.14100 | + | 3.54551i | −0.302179 | + | 0.174463i | ||||
\(414\) | −15.6698 | − | 6.90750i | −0.770129 | − | 0.339485i | ||||
\(415\) | 21.7766 | − | 12.5727i | 1.06897 | − | 0.617171i | ||||
\(416\) | 6.73246 | − | 12.1741i | 0.330086 | − | 0.596884i | ||||
\(417\) | − | 13.3014i | − | 0.651373i | ||||||
\(418\) | 5.18433 | − | 11.9353i | 0.253574 | − | 0.583775i | ||||
\(419\) | − | 31.5299i | − | 1.54034i | −0.637840 | − | 0.770169i | \(-0.720172\pi\) | ||
0.637840 | − | 0.770169i | \(-0.279828\pi\) | |||||||
\(420\) | 7.54337 | − | 6.89353i | 0.368079 | − | 0.336370i | ||||
\(421\) | 23.2374 | − | 13.4161i | 1.13252 | − | 0.653862i | 0.187954 | − | 0.982178i | \(-0.439814\pi\) |
0.944568 | + | 0.328316i | \(0.106481\pi\) | |||||||
\(422\) | −0.0949799 | + | 0.215464i | −0.00462355 | + | 0.0104886i | ||||
\(423\) | 8.43547 | − | 4.87022i | 0.410147 | − | 0.236798i | ||||
\(424\) | −19.8196 | − | 3.98408i | −0.962525 | − | 0.193484i | ||||
\(425\) | −8.08272 | −0.392069 | ||||||||
\(426\) | 11.2001 | − | 1.21897i | 0.542648 | − | 0.0590592i | ||||
\(427\) | −6.08594 | − | 3.51372i | −0.294519 | − | 0.170041i | ||||
\(428\) | −4.17694 | + | 13.1855i | −0.201900 | + | 0.637345i | ||||
\(429\) | −6.61502 | −0.319376 | ||||||||
\(430\) | 2.85899 | + | 26.2690i | 0.137873 | + | 1.26680i | ||||
\(431\) | 3.89128 | − | 6.73989i | 0.187436 | − | 0.324649i | −0.756958 | − | 0.653463i | \(-0.773316\pi\) |
0.944395 | + | 0.328814i | \(0.106649\pi\) | |||||||
\(432\) | −18.2373 | − | 12.8434i | −0.877445 | − | 0.617929i | ||||
\(433\) | −13.2846 | − | 7.66988i | −0.638418 | − | 0.368591i | 0.145587 | − | 0.989345i | \(-0.453493\pi\) |
−0.784005 | + | 0.620755i | \(0.786826\pi\) | |||||||
\(434\) | 11.1141 | − | 8.13769i | 0.533495 | − | 0.390621i | ||||
\(435\) | −21.2858 | + | 12.2894i | −1.02058 | + | 0.589231i | ||||
\(436\) | −5.21156 | − | 23.6589i | −0.249589 | − | 1.13305i | ||||
\(437\) | 38.3501 | − | 0.207494i | 1.83454 | − | 0.00992577i | ||||
\(438\) | −2.35793 | + | 0.256626i | −0.112666 | + | 0.0122621i | ||||
\(439\) | 12.6149 | + | 21.8497i | 0.602077 | + | 1.04283i | 0.992506 | + | 0.122195i | \(0.0389933\pi\) |
−0.390429 | + | 0.920633i | \(0.627673\pi\) | |||||||
\(440\) | −12.6527 | + | 14.3689i | −0.603196 | + | 0.685011i | ||||
\(441\) | 3.74105 | − | 6.47969i | 0.178145 | − | 0.308557i | ||||
\(442\) | −4.29353 | + | 3.14369i | −0.204222 | + | 0.149530i | ||||
\(443\) | 2.05095 | + | 1.18412i | 0.0974435 | + | 0.0562590i | 0.547930 | − | 0.836524i | \(-0.315416\pi\) |
−0.450486 | + | 0.892783i | \(0.648749\pi\) | |||||||
\(444\) | −5.46920 | − | 24.8285i | −0.259557 | − | 1.17831i | ||||
\(445\) | 22.3074i | 1.05747i | ||||||||
\(446\) | −6.69218 | + | 15.1813i | −0.316884 | + | 0.718857i | ||||
\(447\) | 6.15852 | − | 10.6669i | 0.291288 | − | 0.504526i | ||||
\(448\) | −6.05758 | − | 7.96091i | −0.286194 | − | 0.376118i | ||||
\(449\) | − | 11.6774i | − | 0.551093i | −0.961288 | − | 0.275546i | \(-0.911141\pi\) | ||
0.961288 | − | 0.275546i | \(-0.0888587\pi\) | |||||||
\(450\) | −4.14740 | + | 9.40846i | −0.195510 | + | 0.443519i | ||||
\(451\) | 1.33391 | + | 2.31041i | 0.0628115 | + | 0.108793i | ||||
\(452\) | 9.44586 | + | 2.99228i | 0.444296 | + | 0.140745i | ||||
\(453\) | −7.07416 | − | 12.2528i | −0.332373 | − | 0.575687i | ||||
\(454\) | 7.33762 | + | 10.0214i | 0.344371 | + | 0.470328i | ||||
\(455\) | −9.86096 | −0.462289 | ||||||||
\(456\) | 15.4184 | + | 3.01266i | 0.722032 | + | 0.141081i | ||||
\(457\) | −8.71735 | −0.407781 | −0.203890 | − | 0.978994i | \(-0.565359\pi\) | ||||
−0.203890 | + | 0.978994i | \(0.565359\pi\) | |||||||
\(458\) | −5.45855 | − | 7.45506i | −0.255061 | − | 0.348352i | ||||
\(459\) | 4.26615 | + | 7.38919i | 0.199127 | + | 0.344898i | ||||
\(460\) | −53.7915 | − | 17.0402i | −2.50804 | − | 0.794504i | ||||
\(461\) | −10.5590 | − | 18.2887i | −0.491781 | − | 0.851789i | 0.508174 | − | 0.861254i | \(-0.330321\pi\) |
−0.999955 | + | 0.00946495i | \(0.996987\pi\) | |||||||
\(462\) | −1.91868 | + | 4.35256i | −0.0892649 | + | 0.202499i | ||||
\(463\) | − | 0.355651i | − | 0.0165285i | −0.999966 | − | 0.00826426i | \(-0.997369\pi\) | ||
0.999966 | − | 0.00826426i | \(-0.00263062\pi\) | |||||||
\(464\) | 10.1098 | + | 21.8341i | 0.469334 | + | 1.01362i | ||||
\(465\) | 15.9142 | − | 27.5641i | 0.738001 | − | 1.27826i | ||||
\(466\) | −14.9816 | + | 33.9860i | −0.694007 | + | 1.57437i | ||||
\(467\) | − | 4.47951i | − | 0.207287i | −0.994615 | − | 0.103643i | \(-0.966950\pi\) | ||
0.994615 | − | 0.103643i | \(-0.0330501\pi\) | |||||||
\(468\) | 1.45624 | + | 6.61085i | 0.0673145 | + | 0.305587i | ||||
\(469\) | 0.0510778 | + | 0.0294898i | 0.00235855 | + | 0.00136171i | ||||
\(470\) | 25.8954 | − | 18.9605i | 1.19447 | − | 0.874581i | ||||
\(471\) | 7.21202 | − | 12.4916i | 0.332312 | − | 0.575582i | ||||
\(472\) | 12.0377 | + | 10.5999i | 0.554080 | + | 0.487902i | ||||
\(473\) | −6.15002 | − | 10.6521i | −0.282778 | − | 0.489786i | ||||
\(474\) | 13.5147 | − | 1.47087i | 0.620751 | − | 0.0675595i | ||||
\(475\) | −0.124583 | − | 23.0262i | −0.00571627 | − | 1.05651i | ||||
\(476\) | 0.823159 | + | 3.73689i | 0.0377295 | + | 0.171280i | ||||
\(477\) | 8.51912 | − | 4.91852i | 0.390064 | − | 0.225203i | ||||
\(478\) | −26.8950 | + | 19.6924i | −1.23015 | + | 0.900707i | ||||
\(479\) | 21.4965 | + | 12.4110i | 0.982199 | + | 0.567073i | 0.902933 | − | 0.429781i | \(-0.141409\pi\) |
0.0792655 | + | 0.996854i | \(0.474743\pi\) | |||||||
\(480\) | −20.2273 | − | 11.1860i | −0.923246 | − | 0.510569i | ||||
\(481\) | −12.2668 | + | 21.2466i | −0.559316 | + | 0.968764i | ||||
\(482\) | −2.39657 | − | 22.0202i | −0.109161 | − | 1.00299i | ||||
\(483\) | −14.0189 | −0.637880 | ||||||||
\(484\) | −3.95246 | + | 12.4769i | −0.179657 | + | 0.567131i | ||||
\(485\) | −27.3186 | − | 15.7724i | −1.24048 | − | 0.716189i | ||||
\(486\) | 18.1870 | − | 1.97939i | 0.824981 | − | 0.0897869i | ||||
\(487\) | −36.2102 | −1.64084 | −0.820420 | − | 0.571761i | \(-0.806261\pi\) | ||||
−0.820420 | + | 0.571761i | \(0.806261\pi\) | |||||||
\(488\) | −3.13264 | + | 15.5839i | −0.141808 | + | 0.705452i | ||||
\(489\) | 17.3010 | − | 9.98871i | 0.782376 | − | 0.451705i | ||||
\(490\) | 9.94434 | − | 22.5589i | 0.449240 | − | 1.01911i | ||||
\(491\) | 5.16077 | − | 2.97957i | 0.232902 | − | 0.134466i | −0.379008 | − | 0.925393i | \(-0.623735\pi\) |
0.611910 | + | 0.790927i | \(0.290401\pi\) | |||||||
\(492\) | −2.37758 | + | 2.17275i | −0.107189 | + | 0.0979553i | ||||
\(493\) | − | 9.20366i | − | 0.414512i | ||||||
\(494\) | −9.02198 | − | 12.1830i | −0.405918 | − | 0.548140i | ||||
\(495\) | − | 9.31619i | − | 0.418732i | ||||||
\(496\) | −25.4747 | − | 17.9402i | −1.14385 | − | 0.805540i | ||||
\(497\) | −6.77026 | + | 3.90881i | −0.303688 | + | 0.175334i | ||||
\(498\) | −12.9305 | − | 5.69997i | −0.579429 | − | 0.255422i | ||||
\(499\) | −20.1581 | + | 11.6383i | −0.902402 | + | 0.521002i | −0.877979 | − | 0.478700i | \(-0.841108\pi\) |
−0.0244234 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(500\) | −0.547421 | + | 1.72806i | −0.0244814 | + | 0.0772813i | ||||
\(501\) | −4.59884 | −0.205461 | ||||||||
\(502\) | −3.91486 | − | 35.9706i | −0.174729 | − | 1.60545i | ||||
\(503\) | 16.4493 | + | 9.49702i | 0.733439 | + | 0.423451i | 0.819679 | − | 0.572823i | \(-0.194152\pi\) |
−0.0862401 | + | 0.996274i | \(0.527485\pi\) | |||||||
\(504\) | 4.77220 | + | 0.959293i | 0.212571 | + | 0.0427303i | ||||
\(505\) | 20.0953 | 0.894231 | ||||||||
\(506\) | 26.1113 | − | 2.84183i | 1.16079 | − | 0.126335i | ||||
\(507\) | 4.42931 | − | 7.67179i | 0.196713 | − | 0.340716i | ||||
\(508\) | 7.72442 | + | 8.45260i | 0.342716 | + | 0.375023i | ||||
\(509\) | 11.3577 | + | 6.55740i | 0.503423 | + | 0.290652i | 0.730126 | − | 0.683312i | \(-0.239461\pi\) |
−0.226703 | + | 0.973964i | \(0.572795\pi\) | |||||||
\(510\) | 5.22326 | + | 7.13372i | 0.231290 | + | 0.315886i | ||||
\(511\) | 1.42532 | − | 0.822911i | 0.0630526 | − | 0.0364035i | ||||
\(512\) | −12.6851 | + | 18.7373i | −0.560608 | + | 0.828081i | ||||
\(513\) | −20.9847 | + | 12.2674i | −0.926496 | + | 0.541618i | ||||
\(514\) | 3.08207 | + | 28.3187i | 0.135944 | + | 1.24908i | ||||
\(515\) | −0.844413 | − | 1.46257i | −0.0372093 | − | 0.0644483i | ||||
\(516\) | 10.9618 | − | 10.0175i | 0.482568 | − | 0.440996i | ||||
\(517\) | −7.46982 | + | 12.9381i | −0.328522 | + | 0.569017i | ||||
\(518\) | 10.4219 | + | 14.2339i | 0.457914 | + | 0.625400i | ||||
\(519\) | −5.69468 | − | 3.28783i | −0.249969 | − | 0.144320i | ||||
\(520\) | 7.12693 | + | 21.1357i | 0.312537 | + | 0.926862i | ||||
\(521\) | − | 24.9294i | − | 1.09218i | −0.837727 | − | 0.546089i | \(-0.816116\pi\) | ||
0.837727 | − | 0.546089i | \(-0.183884\pi\) | |||||||
\(522\) | −10.7133 | − | 4.72258i | −0.468907 | − | 0.206702i | ||||
\(523\) | 15.1705 | − | 26.2761i | 0.663359 | − | 1.14897i | −0.316368 | − | 0.948636i | \(-0.602464\pi\) |
0.979727 | − | 0.200335i | \(-0.0642031\pi\) | |||||||
\(524\) | 8.03276 | + | 36.4662i | 0.350913 | + | 1.59303i | ||||
\(525\) | 8.41720i | 0.367357i | ||||||||
\(526\) | −4.70433 | − | 2.07375i | −0.205119 | − | 0.0904196i | ||||
\(527\) | 5.95915 | + | 10.3215i | 0.259584 | + | 0.449613i | ||||
\(528\) | 10.7159 | + | 0.966661i | 0.466348 | + | 0.0420685i | ||||
\(529\) | 27.2047 | + | 47.1198i | 1.18281 | + | 2.04869i | ||||
\(530\) | 26.1522 | − | 19.1485i | 1.13598 | − | 0.831757i | ||||
\(531\) | −7.80473 | −0.338696 | ||||||||
\(532\) | −10.6330 | + | 2.40263i | −0.461000 | + | 0.104167i | ||||
\(533\) | 3.10805 | 0.134625 | ||||||||
\(534\) | 10.1147 | − | 7.40593i | 0.437707 | − | 0.320486i | ||||
\(535\) | −11.0880 | − | 19.2051i | −0.479378 | − | 0.830307i | ||||
\(536\) | 0.0262915 | − | 0.130792i | 0.00113562 | − | 0.00564936i | ||||
\(537\) | 1.75984 | + | 3.04813i | 0.0759425 | + | 0.131536i | ||||
\(538\) | 23.7876 | + | 10.4860i | 1.02556 | + | 0.452082i | ||||
\(539\) | 11.4759i | 0.494300i | ||||||||
\(540\) | 34.9264 | − | 7.69357i | 1.50299 | − | 0.331078i | ||||
\(541\) | 12.1933 | − | 21.1195i | 0.524233 | − | 0.907998i | −0.475369 | − | 0.879787i | \(-0.657685\pi\) |
0.999602 | − | 0.0282117i | \(-0.00898124\pi\) | |||||||
\(542\) | −24.9995 | − | 11.0202i | −1.07382 | − | 0.473356i | ||||
\(543\) | 3.05854i | 0.131255i | ||||||||
\(544\) | 7.41460 | − | 4.46514i | 0.317898 | − | 0.191441i | ||||
\(545\) | 33.6384 | + | 19.4212i | 1.44091 | + | 0.831911i | ||||
\(546\) | 3.27379 | + | 4.47120i | 0.140105 | + | 0.191350i | ||||
\(547\) | −18.7226 | + | 32.4286i | −0.800522 | + | 1.38655i | 0.118751 | + | 0.992924i | \(0.462111\pi\) |
−0.919273 | + | 0.393621i | \(0.871222\pi\) | |||||||
\(548\) | −26.8926 | − | 29.4278i | −1.14880 | − | 1.25709i | ||||
\(549\) | −3.86737 | − | 6.69849i | −0.165056 | − | 0.285885i | ||||
\(550\) | −1.70629 | − | 15.6777i | −0.0727564 | − | 0.668500i | ||||
\(551\) | 26.2195 | − | 0.141861i | 1.11699 | − | 0.00604348i | ||||
\(552\) | 10.1320 | + | 30.0476i | 0.431247 | + | 1.27891i | ||||
\(553\) | −8.16937 | + | 4.71659i | −0.347397 | + | 0.200570i | ||||
\(554\) | −13.8338 | − | 18.8936i | −0.587740 | − | 0.802712i | ||||
\(555\) | 35.3014 | + | 20.3813i | 1.49846 | + | 0.865137i | ||||
\(556\) | 15.4114 | − | 14.0837i | 0.653588 | − | 0.597283i | ||||
\(557\) | −7.69507 | + | 13.3283i | −0.326051 | + | 0.564736i | −0.981724 | − | 0.190308i | \(-0.939051\pi\) |
0.655674 | + | 0.755044i | \(0.272385\pi\) | |||||||
\(558\) | 15.0723 | − | 1.64039i | 0.638059 | − | 0.0694433i | ||||
\(559\) | −14.3297 | −0.606082 | ||||||||
\(560\) | 15.9741 | + | 1.44100i | 0.675027 | + | 0.0608932i | ||||
\(561\) | −3.56421 | − | 2.05780i | −0.150481 | − | 0.0868803i | ||||
\(562\) | 0.610426 | + | 5.60872i | 0.0257493 | + | 0.236590i | ||||
\(563\) | −25.2567 | −1.06444 | −0.532222 | − | 0.846605i | \(-0.678643\pi\) | ||||
−0.532222 | + | 0.846605i | \(0.678643\pi\) | |||||||
\(564\) | −17.1943 | − | 5.44685i | −0.724010 | − | 0.229354i | ||||
\(565\) | −13.7582 | + | 7.94327i | −0.578810 | + | 0.334176i | ||||
\(566\) | 19.1947 | + | 8.46132i | 0.806813 | + | 0.355656i | ||||
\(567\) | 3.22374 | − | 1.86123i | 0.135384 | − | 0.0781641i | ||||
\(568\) | 13.2712 | + | 11.6861i | 0.556846 | + | 0.490338i | ||||
\(569\) | 46.3413i | 1.94273i | 0.237599 | + | 0.971363i | \(0.423639\pi\) | ||||
−0.237599 | + | 0.971363i | \(0.576361\pi\) | |||||||
\(570\) | −20.2421 | + | 14.9901i | −0.847850 | + | 0.627865i | ||||
\(571\) | 32.1609i | 1.34589i | 0.739692 | + | 0.672946i | \(0.234971\pi\) | ||||
−0.739692 | + | 0.672946i | \(0.765029\pi\) | |||||||
\(572\) | −7.00407 | − | 7.66434i | −0.292855 | − | 0.320462i | ||||
\(573\) | −4.83925 | + | 2.79394i | −0.202163 | + | 0.116719i | ||||
\(574\) | 0.901486 | − | 2.04504i | 0.0376273 | − | 0.0853583i | ||||
\(575\) | 40.2512 | − | 23.2390i | 1.67859 | − | 0.969135i | ||||
\(576\) | −1.39295 | − | 10.9219i | −0.0580394 | − | 0.455080i | ||||
\(577\) | −39.2983 | −1.63601 | −0.818004 | − | 0.575212i | \(-0.804919\pi\) | ||||
−0.818004 | + | 0.575212i | \(0.804919\pi\) | |||||||
\(578\) | 20.6092 | − | 2.24300i | 0.857229 | − | 0.0932966i | ||||
\(579\) | −9.89455 | − | 5.71262i | −0.411204 | − | 0.237408i | ||||
\(580\) | −36.7766 | − | 11.6502i | −1.52706 | − | 0.483748i | ||||
\(581\) | 9.80550 | 0.406801 | ||||||||
\(582\) | 1.91803 | + | 17.6233i | 0.0795051 | + | 0.730509i | ||||
\(583\) | −7.54389 | + | 13.0664i | −0.312436 | + | 0.541155i | ||||
\(584\) | −2.79395 | − | 2.46025i | −0.115614 | − | 0.101806i | ||||
\(585\) | −9.39938 | − | 5.42674i | −0.388617 | − | 0.224368i | ||||
\(586\) | −26.2327 | + | 19.2074i | −1.08366 | + | 0.793452i | ||||
\(587\) | −15.4560 | + | 8.92352i | −0.637937 | + | 0.368313i | −0.783819 | − | 0.620989i | \(-0.786731\pi\) |
0.145883 | + | 0.989302i | \(0.453398\pi\) | |||||||
\(588\) | −13.5302 | + | 2.98044i | −0.557978 | + | 0.122911i | ||||
\(589\) | −29.3123 | + | 17.1356i | −1.20779 | + | 0.706060i | ||||
\(590\) | −25.5656 | + | 2.78243i | −1.05252 | + | 0.114551i | ||||
\(591\) | 0.886993 | + | 1.53632i | 0.0364860 | + | 0.0631956i | ||||
\(592\) | 22.9761 | − | 32.6255i | 0.944311 | − | 1.34090i | ||||
\(593\) | 11.7249 | − | 20.3082i | 0.481485 | − | 0.833957i | −0.518289 | − | 0.855205i | \(-0.673431\pi\) |
0.999774 | + | 0.0212488i | \(0.00676420\pi\) | |||||||
\(594\) | −13.4319 | + | 9.83476i | −0.551118 | + | 0.403525i | ||||
\(595\) | −5.31315 | − | 3.06755i | −0.217818 | − | 0.125757i | ||||
\(596\) | 18.8797 | − | 4.15880i | 0.773341 | − | 0.170351i | ||||
\(597\) | − | 0.356008i | − | 0.0145704i | ||||||
\(598\) | 12.3428 | − | 27.9998i | 0.504734 | − | 1.14500i | ||||
\(599\) | 7.40584 | − | 12.8273i | 0.302595 | − | 0.524109i | −0.674128 | − | 0.738614i | \(-0.735481\pi\) |
0.976723 | + | 0.214505i | \(0.0688138\pi\) | |||||||
\(600\) | 18.0412 | − | 6.08346i | 0.736528 | − | 0.248356i | ||||
\(601\) | 4.30046i | 0.175419i | 0.996146 | + | 0.0877097i | \(0.0279548\pi\) | ||||
−0.996146 | + | 0.0877097i | \(0.972045\pi\) | |||||||
\(602\) | −4.15631 | + | 9.42868i | −0.169399 | + | 0.384284i | ||||
\(603\) | 0.0324579 | + | 0.0562188i | 0.00132179 | + | 0.00228940i | ||||
\(604\) | 6.70622 | − | 21.1698i | 0.272872 | − | 0.861386i | ||||
\(605\) | −10.4921 | − | 18.1729i | −0.426566 | − | 0.738835i | ||||
\(606\) | −6.67154 | − | 9.11172i | −0.271013 | − | 0.370138i | ||||
\(607\) | 20.1844 | 0.819260 | 0.409630 | − | 0.912252i | \(-0.365658\pi\) | ||||
0.409630 | + | 0.912252i | \(0.365658\pi\) | |||||||
\(608\) | 12.8347 | + | 21.0540i | 0.520514 | + | 0.853853i | ||||
\(609\) | −9.58452 | −0.388385 | ||||||||
\(610\) | −15.0562 | − | 20.5632i | −0.609609 | − | 0.832579i | ||||
\(611\) | 8.70243 | + | 15.0730i | 0.352062 | + | 0.609790i | ||||
\(612\) | −1.27187 | + | 4.01497i | −0.0514125 | + | 0.162296i | ||||
\(613\) | 0.467103 | + | 0.809046i | 0.0188661 | + | 0.0326771i | 0.875304 | − | 0.483572i | \(-0.160661\pi\) |
−0.856438 | + | 0.516250i | \(0.827328\pi\) | |||||||
\(614\) | −11.7675 | + | 26.6949i | −0.474899 | + | 1.07732i | ||||
\(615\) | − | 5.16404i | − | 0.208234i | ||||||
\(616\) | −7.07452 | + | 2.38552i | −0.285040 | + | 0.0961153i | ||||
\(617\) | −4.11324 | + | 7.12434i | −0.165593 | + | 0.286815i | −0.936866 | − | 0.349690i | \(-0.886287\pi\) |
0.771273 | + | 0.636505i | \(0.219620\pi\) | |||||||
\(618\) | −0.382823 | + | 0.868441i | −0.0153994 | + | 0.0349338i | ||||
\(619\) | − | 7.04730i | − | 0.283255i | −0.989920 | − | 0.141627i | \(-0.954766\pi\) | ||
0.989920 | − | 0.141627i | \(-0.0452335\pi\) | |||||||
\(620\) | 48.7867 | − | 10.7467i | 1.95932 | − | 0.431598i | ||||
\(621\) | −42.4901 | − | 24.5316i | −1.70507 | − | 0.984421i | ||||
\(622\) | −3.60991 | + | 2.64315i | −0.144744 | + | 0.105981i | ||||
\(623\) | −4.34940 | + | 7.53338i | −0.174255 | + | 0.301819i | ||||
\(624\) | 7.21734 | − | 10.2485i | 0.288925 | − | 0.410267i | ||||
\(625\) | 11.7534 | + | 20.3576i | 0.470138 | + | 0.814302i | ||||
\(626\) | −21.5724 | + | 2.34783i | −0.862206 | + | 0.0938383i | ||||
\(627\) | 5.80735 | − | 10.1855i | 0.231923 | − | 0.406770i | ||||
\(628\) | 22.1093 | − | 4.87022i | 0.882256 | − | 0.194343i | ||||
\(629\) | −13.2188 | + | 7.63188i | −0.527068 | + | 0.304303i | ||||
\(630\) | −6.29697 | + | 4.61060i | −0.250877 | + | 0.183691i | ||||
\(631\) | 17.5204 | + | 10.1154i | 0.697476 | + | 0.402688i | 0.806407 | − | 0.591362i | \(-0.201409\pi\) |
−0.108931 | + | 0.994049i | \(0.534743\pi\) | |||||||
\(632\) | 16.0138 | + | 14.1011i | 0.636993 | + | 0.560913i | ||||
\(633\) | −0.106082 | + | 0.183740i | −0.00421639 | + | 0.00730300i | ||||
\(634\) | −0.402851 | − | 3.70148i | −0.0159992 | − | 0.147004i | ||||
\(635\) | −18.3589 | −0.728549 | ||||||||
\(636\) | −17.3648 | − | 5.50086i | −0.688558 | − | 0.218123i | ||||
\(637\) | 11.5783 | + | 6.68475i | 0.458750 | + | 0.264860i | ||||
\(638\) | 17.8520 | − | 1.94292i | 0.706766 | − | 0.0769210i | ||||
\(639\) | −8.60447 | −0.340387 | ||||||||
\(640\) | −8.45654 | − | 35.2798i | −0.334274 | − | 1.39456i | ||||
\(641\) | −6.91570 | + | 3.99278i | −0.273154 | + | 0.157705i | −0.630320 | − | 0.776335i | \(-0.717076\pi\) |
0.357166 | + | 0.934041i | \(0.383743\pi\) | |||||||
\(642\) | −5.02687 | + | 11.4036i | −0.198395 | + | 0.450063i | ||||
\(643\) | −9.89926 | + | 5.71534i | −0.390389 | + | 0.225391i | −0.682328 | − | 0.731046i | \(-0.739033\pi\) |
0.291940 | + | 0.956437i | \(0.405699\pi\) | |||||||
\(644\) | −14.8434 | − | 16.2426i | −0.584911 | − | 0.640050i | ||||
\(645\) | 23.8089i | 0.937473i | ||||||||
\(646\) | −1.07121 | − | 9.37084i | −0.0421461 | − | 0.368691i | ||||
\(647\) | − | 48.3776i | − | 1.90192i | −0.309312 | − | 0.950961i | \(-0.600099\pi\) | ||
0.309312 | − | 0.950961i | \(-0.399901\pi\) | |||||||
\(648\) | −6.31923 | − | 5.56448i | −0.248243 | − | 0.218593i | ||||
\(649\) | 10.3669 | − | 5.98534i | 0.406937 | − | 0.234945i | ||||
\(650\) | −16.8117 | − | 7.41085i | −0.659407 | − | 0.290677i | ||||
\(651\) | 10.7487 | − | 6.20575i | 0.421274 | − | 0.243222i | ||||
\(652\) | 29.8917 | + | 9.46918i | 1.17065 | + | 0.370842i | ||||
\(653\) | 32.2260 | 1.26110 | 0.630551 | − | 0.776148i | \(-0.282829\pi\) | ||||
0.630551 | + | 0.776148i | \(0.282829\pi\) | |||||||
\(654\) | −2.36175 | − | 21.7002i | −0.0923516 | − | 0.848545i | ||||
\(655\) | −51.8481 | − | 29.9345i | −2.02587 | − | 1.16964i | ||||
\(656\) | −5.03482 | − | 0.454183i | −0.196577 | − | 0.0177329i | ||||
\(657\) | 1.81148 | 0.0706724 | ||||||||
\(658\) | 12.4419 | − | 1.35412i | 0.485036 | − | 0.0527890i | ||||
\(659\) | 13.5111 | − | 23.4019i | 0.526317 | − | 0.911608i | −0.473213 | − | 0.880948i | \(-0.656906\pi\) |
0.999530 | − | 0.0306595i | \(-0.00976076\pi\) | |||||||
\(660\) | −12.7343 | + | 11.6373i | −0.495683 | + | 0.452981i | ||||
\(661\) | 23.1686 | + | 13.3764i | 0.901155 | + | 0.520282i | 0.877575 | − | 0.479440i | \(-0.159160\pi\) |
0.0235802 | + | 0.999722i | \(0.492493\pi\) | |||||||
\(662\) | 7.77763 | + | 10.6224i | 0.302286 | + | 0.412850i | ||||
\(663\) | −4.15235 | + | 2.39736i | −0.161264 | + | 0.0931057i | ||||
\(664\) | −7.08685 | − | 21.0168i | −0.275023 | − | 0.815611i | ||||
\(665\) | 8.65699 | − | 15.1835i | 0.335703 | − | 0.588790i | ||||
\(666\) | 2.10085 | + | 19.3031i | 0.0814063 | + | 0.747978i | ||||
\(667\) | 26.4619 | + | 45.8334i | 1.02461 | + | 1.77467i | ||||
\(668\) | −4.86932 | − | 5.32834i | −0.188400 | − | 0.206160i | ||||
\(669\) | −7.47444 | + | 12.9461i | −0.288978 | + | 0.500525i | ||||
\(670\) | 0.126363 | + | 0.172582i | 0.00488184 | + | 0.00666742i | ||||
\(671\) | 10.2740 | + | 5.93168i | 0.396622 | + | 0.228990i | ||||
\(672\) | −4.64992 | − | 7.72143i | −0.179375 | − | 0.297861i | ||||
\(673\) | − | 29.5414i | − | 1.13874i | −0.822083 | − | 0.569368i | \(-0.807188\pi\) | ||
0.822083 | − | 0.569368i | \(-0.192812\pi\) | |||||||
\(674\) | −4.91551 | − | 2.16684i | −0.189338 | − | 0.0834634i | ||||
\(675\) | −14.7293 | + | 25.5119i | −0.566930 | + | 0.981952i | ||||
\(676\) | 13.5786 | − | 2.99108i | 0.522253 | − | 0.115042i | ||||
\(677\) | − | 15.6682i | − | 0.602176i | −0.953596 | − | 0.301088i | \(-0.902650\pi\) | ||
0.953596 | − | 0.301088i | \(-0.0973498\pi\) | |||||||
\(678\) | 8.16931 | + | 3.60116i | 0.313740 | + | 0.138302i | ||||
\(679\) | −6.15048 | − | 10.6529i | −0.236034 | − | 0.408822i | ||||
\(680\) | −2.73486 | + | 13.6051i | −0.104877 | + | 0.521732i | ||||
\(681\) | 5.59562 | + | 9.69190i | 0.214425 | + | 0.371394i | ||||
\(682\) | −18.7623 | + | 13.7376i | −0.718445 | + | 0.526041i | ||||
\(683\) | −29.7127 | −1.13693 | −0.568463 | − | 0.822709i | \(-0.692462\pi\) | ||||
−0.568463 | + | 0.822709i | \(0.692462\pi\) | |||||||
\(684\) | −11.4575 | − | 3.56145i | −0.438089 | − | 0.136175i | ||||
\(685\) | 63.9165 | 2.44212 | ||||||||
\(686\) | 17.7444 | − | 12.9923i | 0.677485 | − | 0.496050i | ||||
\(687\) | −4.16265 | − | 7.20993i | −0.158815 | − | 0.275076i | ||||
\(688\) | 23.2131 | + | 2.09402i | 0.884991 | + | 0.0798337i | ||||
\(689\) | 8.78872 | + | 15.2225i | 0.334824 | + | 0.579932i | ||||
\(690\) | −46.5219 | − | 20.5076i | −1.77106 | − | 0.780710i | ||||
\(691\) | − | 32.8555i | − | 1.24988i | −0.780671 | − | 0.624942i | \(-0.785123\pi\) | ||
0.780671 | − | 0.624942i | \(-0.214877\pi\) | |||||||
\(692\) | −2.22024 | − | 10.0792i | −0.0844010 | − | 0.383154i | ||||
\(693\) | 1.81643 | − | 3.14615i | 0.0690005 | − | 0.119512i | ||||
\(694\) | −4.59718 | − | 2.02651i | −0.174506 | − | 0.0769252i | ||||
\(695\) | 33.4732i | 1.26971i | ||||||||
\(696\) | 6.92714 | + | 20.5432i | 0.262573 | + | 0.778688i | ||||
\(697\) | 1.67464 | + | 0.966852i | 0.0634314 | + | 0.0366221i | ||||
\(698\) | −1.60285 | − | 2.18911i | −0.0606687 | − | 0.0828588i | ||||
\(699\) | −16.7328 | + | 28.9820i | −0.632892 | + | 1.09620i | ||||
\(700\) | −9.75240 | + | 8.91225i | −0.368606 | + | 0.336851i | ||||
\(701\) | −8.96916 | − | 15.5350i | −0.338761 | − | 0.586751i | 0.645439 | − | 0.763812i | \(-0.276674\pi\) |
−0.984200 | + | 0.177061i | \(0.943341\pi\) | |||||||
\(702\) | 2.09841 | + | 19.2807i | 0.0791996 | + | 0.727702i | ||||
\(703\) | −21.9456 | − | 37.5403i | −0.827693 | − | 1.41586i | ||||
\(704\) | 10.2261 | + | 13.4392i | 0.385411 | + | 0.506509i | ||||
\(705\) | 25.0439 | − | 14.4591i | 0.943209 | − | 0.544562i | ||||
\(706\) | −5.94722 | − | 8.12248i | −0.223827 | − | 0.305693i | ||||
\(707\) | 6.78635 | + | 3.91810i | 0.255227 | + | 0.147355i | ||||
\(708\) | 9.74926 | + | 10.6683i | 0.366400 | + | 0.400940i | ||||
\(709\) | 3.51145 | − | 6.08201i | 0.131875 | − | 0.228415i | −0.792524 | − | 0.609841i | \(-0.791233\pi\) |
0.924399 | + | 0.381426i | \(0.124567\pi\) | |||||||
\(710\) | −28.1853 | + | 3.06755i | −1.05777 | + | 0.115123i | ||||
\(711\) | −10.3826 | −0.389379 | ||||||||
\(712\) | 19.2903 | + | 3.87769i | 0.722936 | + | 0.145322i | ||||
\(713\) | −59.3520 | − | 34.2669i | −2.22275 | − | 1.28330i | ||||
\(714\) | 0.373035 | + | 3.42752i | 0.0139605 | + | 0.128272i | ||||
\(715\) | 16.6468 | 0.622554 | ||||||||
\(716\) | −1.66830 | + | 5.26639i | −0.0623474 | + | 0.196814i | ||||
\(717\) | −26.0107 | + | 15.0173i | −0.971386 | + | 0.560830i | ||||
\(718\) | −10.8365 | − | 4.77689i | −0.404414 | − | 0.178272i | ||||
\(719\) | 23.4325 | − | 13.5288i | 0.873886 | − | 0.504538i | 0.00524853 | − | 0.999986i | \(-0.498329\pi\) |
0.868638 | + | 0.495448i | \(0.164996\pi\) | |||||||
\(720\) | 14.4333 | + | 10.1645i | 0.537898 | + | 0.378808i | ||||
\(721\) | − | 0.658560i | − | 0.0245260i | ||||||
\(722\) | 26.6793 | − | 3.19611i | 0.992901 | − | 0.118947i | ||||
\(723\) | − | 19.9580i | − | 0.742245i | ||||||
\(724\) | −3.54371 | + | 3.23843i | −0.131701 | + | 0.120355i | ||||
\(725\) | 27.5193 | − | 15.8882i | 1.02204 | − | 0.590075i | ||||
\(726\) | −4.75672 | + | 10.7907i | −0.176538 | + | 0.400481i | ||||
\(727\) | 23.9684 | − | 13.8381i | 0.888938 | − | 0.513229i | 0.0153429 | − | 0.999882i | \(-0.495116\pi\) |
0.873595 | + | 0.486654i | \(0.161783\pi\) | |||||||
\(728\) | −1.71413 | + | 8.52727i | −0.0635298 | + | 0.316042i | ||||
\(729\) | 25.4145 | 0.941279 | ||||||||
\(730\) | 5.93377 | − | 0.645803i | 0.219619 | − | 0.0239022i | ||||
\(731\) | −7.72093 | − | 4.45768i | −0.285569 | − | 0.164873i | ||||
\(732\) | −4.32527 | + | 13.6537i | −0.159867 | + | 0.504657i | ||||
\(733\) | −2.82689 | −0.104414 | −0.0522068 | − | 0.998636i | \(-0.516626\pi\) | ||||
−0.0522068 | + | 0.998636i | \(0.516626\pi\) | |||||||
\(734\) | −3.48741 | − | 32.0430i | −0.128723 | − | 1.18273i | ||||
\(735\) | 11.1068 | − | 19.2375i | 0.409679 | − | 0.709584i | ||||
\(736\) | −24.0861 | + | 43.5541i | −0.887825 | + | 1.60543i | ||||
\(737\) | −0.0862268 | − | 0.0497831i | −0.00317621 | − | 0.00183378i | ||||
\(738\) | 1.98473 | − | 1.45320i | 0.0730588 | − | 0.0534932i | ||||
\(739\) | −21.3233 | + | 12.3110i | −0.784392 | + | 0.452869i | −0.837984 | − | 0.545694i | \(-0.816266\pi\) |
0.0535927 | + | 0.998563i | \(0.482933\pi\) | |||||||
\(740\) | 13.7633 | + | 62.4812i | 0.505950 | + | 2.29685i | ||||
\(741\) | −6.89364 | − | 11.7923i | −0.253244 | − | 0.433202i | ||||
\(742\) | 12.5653 | − | 1.36755i | 0.461286 | − | 0.0502042i | ||||
\(743\) | 3.96328 | + | 6.86460i | 0.145399 | + | 0.251838i | 0.929522 | − | 0.368768i | \(-0.120220\pi\) |
−0.784123 | + | 0.620605i | \(0.786887\pi\) | |||||||
\(744\) | −21.0697 | − | 18.5532i | −0.772454 | − | 0.680195i | ||||
\(745\) | −15.4980 | + | 26.8433i | −0.567803 | + | 0.983463i | ||||
\(746\) | 26.8910 | − | 19.6894i | 0.984551 | − | 0.720882i | ||||
\(747\) | 9.34651 | + | 5.39621i | 0.341971 | + | 0.197437i | ||||
\(748\) | −1.38962 | − | 6.30842i | −0.0508094 | − | 0.230659i | ||||
\(749\) | − | 8.64759i | − | 0.315976i | ||||||
\(750\) | −0.658811 | + | 1.49453i | −0.0240564 | + | 0.0545724i | ||||
\(751\) | 7.13985 | − | 12.3666i | 0.260537 | − | 0.451263i | −0.705848 | − | 0.708363i | \(-0.749434\pi\) |
0.966385 | + | 0.257101i | \(0.0827671\pi\) | |||||||
\(752\) | −11.8947 | − | 25.6890i | −0.433754 | − | 0.936780i | ||||
\(753\) | − | 32.6019i | − | 1.18808i | ||||||
\(754\) | 8.43861 | − | 19.1431i | 0.307316 | − | 0.697152i | ||||
\(755\) | 17.8022 | + | 30.8344i | 0.647889 | + | 1.12218i | ||||
\(756\) | 13.2950 | + | 4.21162i | 0.483533 | + | 0.153175i | ||||
\(757\) | −17.1966 | − | 29.7854i | −0.625021 | − | 1.08257i | −0.988537 | − | 0.150981i | \(-0.951757\pi\) |
0.363515 | − | 0.931588i | \(-0.381576\pi\) | |||||||
\(758\) | 31.9052 | + | 43.5749i | 1.15885 | + | 1.58271i | ||||
\(759\) | 23.6659 | 0.859019 | ||||||||
\(760\) | −38.8006 | − | 7.58140i | −1.40744 | − | 0.275006i | ||||
\(761\) | −31.6267 | −1.14647 | −0.573233 | − | 0.819392i | \(-0.694311\pi\) | ||||
−0.573233 | + | 0.819392i | \(0.694311\pi\) | |||||||
\(762\) | 6.09504 | + | 8.32435i | 0.220800 | + | 0.301560i | ||||
\(763\) | 7.57331 | + | 13.1174i | 0.274172 | + | 0.474880i | ||||
\(764\) | −8.36101 | − | 2.64862i | −0.302491 | − | 0.0958238i | ||||
\(765\) | −3.37630 | − | 5.84792i | −0.122070 | − | 0.211432i | ||||
\(766\) | −12.4249 | + | 28.1862i | −0.448931 | + | 1.01841i | ||||
\(767\) | − | 13.9460i | − | 0.503561i | ||||||
\(768\) | −13.1892 | + | 15.5471i | −0.475925 | + | 0.561008i | ||||
\(769\) | 11.7685 | − | 20.3836i | 0.424383 | − | 0.735052i | −0.571980 | − | 0.820268i | \(-0.693824\pi\) |
0.996363 | + | 0.0852153i | \(0.0271578\pi\) | |||||||
\(770\) | 4.82838 | − | 10.9533i | 0.174003 | − | 0.394728i | ||||
\(771\) | 25.6666i | 0.924359i | ||||||||
\(772\) | −3.85769 | − | 17.5127i | −0.138841 | − | 0.630296i | ||||
\(773\) | −10.5693 | − | 6.10219i | −0.380152 | − | 0.219481i | 0.297733 | − | 0.954649i | \(-0.403770\pi\) |
−0.677884 | + | 0.735169i | \(0.737103\pi\) | |||||||
\(774\) | −9.15060 | + | 6.70001i | −0.328911 | + | 0.240827i | ||||
\(775\) | −20.5745 | + | 35.6361i | −0.739058 | + | 1.28009i | ||||
\(776\) | −18.3880 | + | 20.8821i | −0.660091 | + | 0.749623i | ||||
\(777\) | 7.94771 | + | 13.7658i | 0.285122 | + | 0.493847i | ||||
\(778\) | −37.8824 | + | 4.12293i | −1.35815 | + | 0.147814i | ||||
\(779\) | −2.72857 | + | 4.78564i | −0.0977612 | + | 0.171463i | ||||
\(780\) | 4.32339 | + | 19.6269i | 0.154802 | + | 0.702754i | ||||
\(781\) | 11.4292 | − | 6.59865i | 0.408969 | − | 0.236118i | ||||
\(782\) | 15.3606 | − | 11.2469i | 0.549292 | − | 0.402188i | ||||
\(783\) | −29.0499 | − | 16.7720i | −1.03816 | − | 0.599382i | ||||
\(784\) | −17.7792 | − | 12.5208i | −0.634972 | − | 0.447171i | ||||
\(785\) | −18.1491 | + | 31.4352i | −0.647770 | + | 1.12197i | ||||
\(786\) | 3.64024 | + | 33.4473i | 0.129843 | + | 1.19303i | ||||
\(787\) | 36.6534 | 1.30655 | 0.653276 | − | 0.757120i | \(-0.273394\pi\) | ||||
0.653276 | + | 0.757120i | \(0.273394\pi\) | |||||||
\(788\) | −0.840858 | + | 2.65437i | −0.0299543 | + | 0.0945579i | ||||
\(789\) | −4.01169 | − | 2.31615i | −0.142820 | − | 0.0824571i | ||||
\(790\) | −34.0099 | + | 3.70148i | −1.21002 | + | 0.131693i | ||||
\(791\) | −6.19498 | −0.220268 | ||||||||
\(792\) | −8.05618 | − | 1.61943i | −0.286264 | − | 0.0575439i | ||||
\(793\) | 11.9693 | − | 6.91048i | 0.425042 | − | 0.245398i | ||||
\(794\) | −2.68986 | + | 6.10201i | −0.0954597 | + | 0.216552i | ||||
\(795\) | 25.2923 | − | 14.6025i | 0.897025 | − | 0.517898i | ||||
\(796\) | 0.412481 | − | 0.376946i | 0.0146200 | − | 0.0133605i | ||||
\(797\) | − | 14.7351i | − | 0.521944i | −0.965346 | − | 0.260972i | \(-0.915957\pi\) | ||
0.965346 | − | 0.260972i | \(-0.0840430\pi\) | |||||||
\(798\) | −9.75863 | + | 1.11554i | −0.345452 | + | 0.0394896i | ||||
\(799\) | 10.8286i | 0.383088i | ||||||||
\(800\) | 26.1507 | + | 14.4618i | 0.924568 | + | 0.511300i | ||||
\(801\) | −8.29162 | + | 4.78717i | −0.292970 | + | 0.169146i | ||||
\(802\) | 6.23015 | + | 2.74635i | 0.219994 | + | 0.0969770i | ||||
\(803\) | −2.40616 | + | 1.38920i | −0.0849115 | + | 0.0490237i | ||||
\(804\) | 0.0363009 | − | 0.114592i | 0.00128023 | − | 0.00404136i | ||||
\(805\) | 35.2786 | 1.24341 | ||||||||
\(806\) | 2.93116 | + | 26.9321i | 0.103246 | + | 0.948642i | ||||
\(807\) | 20.2852 | + | 11.7117i | 0.714073 | + | 0.412271i | ||||
\(808\) | 3.49317 | − | 17.3775i | 0.122889 | − | 0.611337i | ||||
\(809\) | 14.1872 | 0.498796 | 0.249398 | − | 0.968401i | \(-0.419767\pi\) | ||||
0.249398 | + | 0.968401i | \(0.419767\pi\) | |||||||
\(810\) | 13.4207 | − | 1.46065i | 0.471557 | − | 0.0513220i | ||||
\(811\) | −21.0255 | + | 36.4173i | −0.738307 | + | 1.27879i | 0.214950 | + | 0.976625i | \(0.431041\pi\) |
−0.953257 | + | 0.302160i | \(0.902292\pi\) | |||||||
\(812\) | −10.1482 | − | 11.1049i | −0.356133 | − | 0.389705i | ||||
\(813\) | −21.3186 | − | 12.3083i | −0.747677 | − | 0.431672i | ||||
\(814\) | −17.5938 | − | 24.0289i | −0.616662 | − | 0.842212i | ||||
\(815\) | −43.5381 | + | 25.1367i | −1.52507 | + | 0.880501i | ||||
\(816\) | 7.07684 | − | 3.27677i | 0.247739 | − | 0.114710i | ||||
\(817\) | 12.5801 | − | 22.0642i | 0.440122 | − | 0.771929i | ||||
\(818\) | 2.15814 | + | 19.8294i | 0.0754576 | + | 0.693320i | ||||
\(819\) | −2.11616 | − | 3.66530i | −0.0739447 | − | 0.128076i | ||||
\(820\) | 5.98320 | − | 5.46776i | 0.208942 | − | 0.190942i | ||||
\(821\) | −22.3593 | + | 38.7274i | −0.780343 | + | 1.35159i | 0.151398 | + | 0.988473i | \(0.451622\pi\) |
−0.931742 | + | 0.363122i | \(0.881711\pi\) | |||||||
\(822\) | −21.2199 | − | 28.9813i | −0.740130 | − | 1.01084i | ||||
\(823\) | 34.6560 | + | 20.0087i | 1.20803 | + | 0.697458i | 0.962329 | − | 0.271887i | \(-0.0876478\pi\) |
0.245703 | + | 0.969345i | \(0.420981\pi\) | |||||||
\(824\) | −1.41154 | + | 0.475969i | −0.0491733 | + | 0.0165812i | ||||
\(825\) | − | 14.2095i | − | 0.494711i | ||||||
\(826\) | −9.17620 | − | 4.04502i | −0.319281 | − | 0.140744i | ||||
\(827\) | −13.1881 | + | 22.8424i | −0.458594 | + | 0.794309i | −0.998887 | − | 0.0471684i | \(-0.984980\pi\) |
0.540293 | + | 0.841477i | \(0.318314\pi\) | |||||||
\(828\) | −5.20984 | − | 23.6510i | −0.181054 | − | 0.821930i | ||||
\(829\) | 39.6736i | 1.37792i | 0.724798 | + | 0.688961i | \(0.241933\pi\) | ||||
−0.724798 | + | 0.688961i | \(0.758067\pi\) | |||||||
\(830\) | 32.5397 | + | 14.3440i | 1.12947 | + | 0.497889i | ||||
\(831\) | −10.5495 | − | 18.2723i | −0.365960 | − | 0.633860i | ||||
\(832\) | 19.5160 | − | 2.48901i | 0.676595 | − | 0.0862908i | ||||
\(833\) | 4.15898 | + | 7.20357i | 0.144100 | + | 0.249589i | ||||
\(834\) | 15.1776 | − | 11.1129i | 0.525556 | − | 0.384808i | ||||
\(835\) | 11.5730 | 0.400502 | ||||||||
\(836\) | 17.9501 | − | 4.05600i | 0.620818 | − | 0.140280i | ||||
\(837\) | 43.4378 | 1.50143 | ||||||||
\(838\) | 35.9772 | − | 26.3423i | 1.24281 | − | 0.909979i | ||||
\(839\) | 7.96193 | + | 13.7905i | 0.274876 | + | 0.476100i | 0.970104 | − | 0.242690i | \(-0.0780298\pi\) |
−0.695228 | + | 0.718790i | \(0.744696\pi\) | |||||||
\(840\) | 14.1681 | + | 2.84803i | 0.488846 | + | 0.0982664i | ||||
\(841\) | 3.59168 | + | 6.22098i | 0.123851 | + | 0.214516i | ||||
\(842\) | 34.7226 | + | 15.3063i | 1.19662 | + | 0.527489i | ||||
\(843\) | 5.08346i | 0.175084i | ||||||||
\(844\) | −0.325207 | + | 0.0716365i | −0.0111941 | + | 0.00246583i | ||||
\(845\) | −11.1464 | + | 19.3062i | −0.383449 | + | 0.664152i | ||||
\(846\) | 12.6047 | + | 5.55637i | 0.433359 | + | 0.191032i | ||||
\(847\) | − | 8.18285i | − | 0.281166i | ||||||
\(848\) | −12.0126 | − | 25.9437i | −0.412515 | − | 0.890910i | ||||
\(849\) | 16.3685 | + | 9.45038i | 0.561767 | + | 0.324336i | ||||
\(850\) | −6.75286 | − | 9.22278i | −0.231621 | − | 0.316339i | ||||
\(851\) | 43.8856 | − | 76.0122i | 1.50438 | − | 2.60566i | ||||
\(852\) | 10.7483 | + | 11.7615i | 0.368229 | + | 0.402942i | ||||
\(853\) | 19.4390 | + | 33.6693i | 0.665578 | + | 1.15281i | 0.979128 | + | 0.203243i | \(0.0651482\pi\) |
−0.313550 | + | 0.949572i | \(0.601518\pi\) | |||||||
\(854\) | −1.07529 | − | 9.87995i | −0.0367955 | − | 0.338085i | ||||
\(855\) | 16.6076 | − | 9.70859i | 0.567968 | − | 0.332027i | ||||
\(856\) | −18.5350 | + | 6.24998i | −0.633513 | + | 0.213620i | ||||
\(857\) | 28.7983 | − | 16.6267i | 0.983730 | − | 0.567957i | 0.0803358 | − | 0.996768i | \(-0.474401\pi\) |
0.903394 | + | 0.428811i | \(0.141067\pi\) | |||||||
\(858\) | −5.52664 | − | 7.54805i | −0.188676 | − | 0.257686i | ||||
\(859\) | −28.1710 | − | 16.2645i | −0.961183 | − | 0.554939i | −0.0646461 | − | 0.997908i | \(-0.520592\pi\) |
−0.896537 | + | 0.442969i | \(0.853925\pi\) | |||||||
\(860\) | −27.5856 | + | 25.2092i | −0.940661 | + | 0.859625i | ||||
\(861\) | 1.00686 | − | 1.74394i | 0.0343138 | − | 0.0594332i | ||||
\(862\) | 10.9416 | − | 1.19083i | 0.372672 | − | 0.0405598i | ||||
\(863\) | 20.4964 | 0.697707 | 0.348853 | − | 0.937177i | \(-0.386571\pi\) | ||||
0.348853 | + | 0.937177i | \(0.386571\pi\) | |||||||
\(864\) | −0.581774 | − | 31.5400i | −0.0197924 | − | 1.07301i | ||||
\(865\) | 14.3307 | + | 8.27386i | 0.487260 | + | 0.281320i | ||||
\(866\) | −2.34718 | − | 21.5663i | −0.0797603 | − | 0.732854i | ||||
\(867\) | 18.6791 | 0.634375 | ||||||||
\(868\) | 18.5710 | + | 5.88297i | 0.630341 | + | 0.199681i | ||||
\(869\) | 13.7911 | − | 7.96231i | 0.467832 | − | 0.270103i | ||||
\(870\) | −31.8064 | − | 14.0208i | −1.07834 | − | 0.475349i | ||||
\(871\) | −0.100455 | + | 0.0579979i | −0.00340380 | + | 0.00196518i | ||||
\(872\) | 22.6418 | − | 25.7129i | 0.766748 | − | 0.870748i | ||||
\(873\) | − | 13.5391i | − | 0.458228i | ||||||
\(874\) | 32.2771 | + | 43.5860i | 1.09179 | + | 1.47432i | ||||
\(875\) | − | 1.13333i | − | 0.0383137i | ||||||
\(876\) | −2.26280 | − | 2.47611i | −0.0764530 | − | 0.0836601i | ||||
\(877\) | −29.2384 | + | 16.8808i | −0.987312 | + | 0.570025i | −0.904470 | − | 0.426538i | \(-0.859733\pi\) |
−0.0828424 | + | 0.996563i | \(0.526400\pi\) | |||||||
\(878\) | −14.3922 | + | 32.6489i | −0.485712 | + | 1.10185i | ||||
\(879\) | −25.3702 | + | 14.6475i | −0.855715 | + | 0.494047i | ||||
\(880\) | −26.9666 | − | 2.43261i | −0.909044 | − | 0.0820034i | ||||
\(881\) | −37.8371 | −1.27476 | −0.637382 | − | 0.770548i | \(-0.719983\pi\) | ||||
−0.637382 | + | 0.770548i | \(0.719983\pi\) | |||||||
\(882\) | 10.5192 | − | 1.14486i | 0.354199 | − | 0.0385493i | ||||
\(883\) | −23.2555 | − | 13.4265i | −0.782609 | − | 0.451839i | 0.0547454 | − | 0.998500i | \(-0.482565\pi\) |
−0.837354 | + | 0.546661i | \(0.815899\pi\) | |||||||
\(884\) | −7.17421 | − | 2.27267i | −0.241295 | − | 0.0764381i | ||||
\(885\) | −23.1713 | −0.778896 | ||||||||
\(886\) | 0.362369 | + | 3.32952i | 0.0121740 | + | 0.111858i | ||||
\(887\) | −4.11911 | + | 7.13451i | −0.138306 | + | 0.239554i | −0.926856 | − | 0.375418i | \(-0.877499\pi\) |
0.788549 | + | 0.614972i | \(0.210832\pi\) | |||||||
\(888\) | 23.7612 | − | 26.9840i | 0.797372 | − | 0.905525i | ||||
\(889\) | −6.19993 | − | 3.57953i | −0.207939 | − | 0.120054i | ||||
\(890\) | −25.4538 | + | 18.6371i | −0.853214 | + | 0.624718i | ||||
\(891\) | −5.44215 | + | 3.14203i | −0.182319 | + | 0.105262i | ||||
\(892\) | −22.9138 | + | 5.04743i | −0.767209 | + | 0.169000i | ||||
\(893\) | −30.8487 | + | 0.166907i | −1.03231 | + | 0.00558533i | ||||
\(894\) | 17.3167 | − | 1.88466i | 0.579156 | − | 0.0630326i | ||||
\(895\) | −4.42865 | − | 7.67065i | −0.148033 | − | 0.256401i | ||||
\(896\) | 4.02287 | − | 13.5631i | 0.134395 | − | 0.453111i | ||||
\(897\) | 13.7855 | − | 23.8773i | 0.460286 | − | 0.797239i | ||||
\(898\) | 13.3245 | − | 9.75614i | 0.444645 | − | 0.325567i | ||||
\(899\) | −40.5782 | − | 23.4279i | −1.35336 | − | 0.781363i | ||||
\(900\) | −14.2005 | + | 3.12809i | −0.473351 | + | 0.104270i | ||||
\(901\) | 10.9360i | 0.364330i | ||||||||
\(902\) | −1.52184 | + | 3.45233i | −0.0506718 | + | 0.114950i | ||||
\(903\) | −4.64215 | + | 8.04044i | −0.154481 | + | 0.267569i | ||||
\(904\) | 4.47737 | + | 13.2781i | 0.148915 | + | 0.441624i | ||||
\(905\) | − | 7.69687i | − | 0.255853i | ||||||
\(906\) | 8.07081 | − | 18.3088i | 0.268135 | − | 0.608269i | ||||
\(907\) | −12.9847 | − | 22.4902i | −0.431150 | − | 0.746774i | 0.565823 | − | 0.824527i | \(-0.308559\pi\) |
−0.996973 | + | 0.0777533i | \(0.975225\pi\) | |||||||
\(908\) | −5.30458 | + | 16.7452i | −0.176039 | + | 0.555708i | ||||
\(909\) | 4.31246 | + | 7.46940i | 0.143035 | + | 0.247744i | ||||
\(910\) | −8.23852 | − | 11.2518i | −0.273104 | − | 0.372995i | ||||
\(911\) | −35.0480 | −1.16119 | −0.580597 | − | 0.814191i | \(-0.697181\pi\) | ||||
−0.580597 | + | 0.814191i | \(0.697181\pi\) | |||||||
\(912\) | 9.44398 | + | 20.1101i | 0.312722 | + | 0.665912i | ||||
\(913\) | −16.5531 | −0.547829 | ||||||||
\(914\) | −7.28308 | − | 9.94693i | −0.240903 | − | 0.329015i | ||||
\(915\) | −11.4818 | − | 19.8870i | −0.379576 | − | 0.657445i | ||||
\(916\) | 3.94614 | − | 12.4569i | 0.130384 | − | 0.411589i | ||||
\(917\) | −11.6730 | − | 20.2182i | −0.385477 | − | 0.667665i | ||||
\(918\) | −4.86719 | + | 11.0413i | −0.160641 | + | 0.364418i | ||||
\(919\) | − | 6.29627i | − | 0.207695i | −0.994593 | − | 0.103847i | \(-0.966885\pi\) | ||
0.994593 | − | 0.103847i | \(-0.0331153\pi\) | |||||||
\(920\) | −25.4974 | − | 75.6152i | −0.840623 | − | 2.49296i | ||||
\(921\) | −13.1431 | + | 22.7644i | −0.433078 | + | 0.750114i | ||||
\(922\) | 12.0466 | − | 27.3279i | 0.396733 | − | 0.899998i | ||||
\(923\) | − | 15.3750i | − | 0.506075i | ||||||
\(924\) | −6.56948 | + | 1.44712i | −0.216120 | + | 0.0476068i | ||||
\(925\) | −45.6392 | − | 26.3498i | −1.50061 | − | 0.866376i | ||||
\(926\) | 0.405815 | − | 0.297135i | 0.0133359 | − | 0.00976447i | ||||
\(927\) | 0.362422 | − | 0.627733i | 0.0119035 | − | 0.0206175i | ||||
\(928\) | −16.4674 | + | 29.7774i | −0.540568 | + | 0.977491i | ||||
\(929\) | −1.85864 | − | 3.21925i | −0.0609799 | − | 0.105620i | 0.833924 | − | 0.551880i | \(-0.186089\pi\) |
−0.894904 | + | 0.446259i | \(0.852756\pi\) | |||||||
\(930\) | 44.7478 | − | 4.87013i | 1.46734 | − | 0.159698i | ||||
\(931\) | −20.4576 | + | 11.9592i | −0.670469 | + | 0.391948i | ||||
\(932\) | −51.2963 | + | 11.2995i | −1.68027 | + | 0.370128i | ||||
\(933\) | −3.49121 | + | 2.01565i | −0.114297 | + | 0.0659895i | ||||
\(934\) | 5.11133 | − | 3.74249i | 0.167248 | − | 0.122458i | ||||
\(935\) | 8.96938 | + | 5.17848i | 0.293330 | + | 0.169354i | ||||
\(936\) | −6.32666 | + | 7.18479i | −0.206793 | + | 0.234842i | ||||
\(937\) | −21.7674 | + | 37.7022i | −0.711109 | + | 1.23168i | 0.253332 | + | 0.967379i | \(0.418473\pi\) |
−0.964441 | + | 0.264298i | \(0.914860\pi\) | |||||||
\(938\) | 0.00902461 | + | 0.0829200i | 0.000294664 | + | 0.00270743i | ||||
\(939\) | −19.5521 | −0.638059 | ||||||||
\(940\) | 43.2696 | + | 13.7071i | 1.41130 | + | 0.447075i | ||||
\(941\) | 34.9810 | + | 20.1963i | 1.14035 | + | 0.658380i | 0.946517 | − | 0.322655i | \(-0.104575\pi\) |
0.193831 | + | 0.981035i | \(0.437909\pi\) | |||||||
\(942\) | 20.2789 | − | 2.20706i | 0.660723 | − | 0.0719099i | ||||
\(943\) | −11.1194 | −0.362097 | ||||||||
\(944\) | −2.03795 | + | 22.5915i | −0.0663295 | + | 0.735291i | ||||
\(945\) | −19.3645 | + | 11.1801i | −0.629927 | + | 0.363688i | ||||
\(946\) | 7.01647 | − | 15.9170i | 0.228125 | − | 0.517507i | ||||
\(947\) | 21.1885 | − | 12.2332i | 0.688533 | − | 0.397525i | −0.114529 | − | 0.993420i | \(-0.536536\pi\) |
0.803062 | + | 0.595895i | \(0.203203\pi\) | |||||||
\(948\) | 12.9694 | + | 14.1921i | 0.421228 | + | 0.460937i | ||||
\(949\) | 3.23686i | 0.105073i | ||||||||
\(950\) | 26.1699 | − | 19.3798i | 0.849064 | − | 0.628764i | ||||
\(951\) | − | 3.35483i | − | 0.108788i | ||||||
\(952\) | −3.57625 | + | 4.06132i | −0.115907 | + | 0.131628i | ||||
\(953\) | −43.7145 | + | 25.2386i | −1.41605 | + | 0.817557i | −0.995949 | − | 0.0899200i | \(-0.971339\pi\) |
−0.420101 | + | 0.907477i | \(0.638006\pi\) | |||||||
\(954\) | 12.7297 | + | 5.61146i | 0.412140 | + | 0.181678i | ||||
\(955\) | 12.1780 | − | 7.03099i | 0.394072 | − | 0.227518i | ||||
\(956\) | −44.9399 | − | 14.2362i | −1.45346 | − | 0.460431i | ||||
\(957\) | 16.1801 | 0.523028 | ||||||||
\(958\) | 3.79808 | + | 34.8975i | 0.122710 | + | 1.12749i | ||||
\(959\) | 21.5851 | + | 12.4622i | 0.697019 | + | 0.402424i | ||||
\(960\) | −4.13550 | − | 32.4259i | −0.133473 | − | 1.04654i | ||||
\(961\) | 29.6759 | 0.957286 | ||||||||
\(962\) | −34.4920 | + | 3.75394i | −1.11207 | + | 0.121032i | ||||
\(963\) | 4.75899 | − | 8.24281i | 0.153356 | − | 0.265621i | ||||
\(964\) | 23.1238 | − | 21.1318i | 0.744769 | − | 0.680609i | ||||
\(965\) | 24.8998 | + | 14.3759i | 0.801552 | + | 0.462776i | ||||
\(966\) | −11.7123 | − | 15.9962i | −0.376838 | − | 0.514669i | ||||
\(967\) | 43.6786 | − | 25.2179i | 1.40461 | − | 0.810952i | 0.409749 | − | 0.912198i | \(-0.365616\pi\) |
0.994861 | + | 0.101246i | \(0.0322830\pi\) | |||||||
\(968\) | −17.5389 | + | 5.91409i | −0.563721 | + | 0.190086i | ||||
\(969\) | −0.0459798 | − | 8.49825i | −0.00147709 | − | 0.273003i | ||||
\(970\) | −4.82676 | − | 44.3493i | −0.154978 | − | 1.42397i | ||||
\(971\) | −5.26456 | − | 9.11849i | −0.168948 | − | 0.292626i | 0.769102 | − | 0.639126i | \(-0.220704\pi\) |
−0.938050 | + | 0.346499i | \(0.887370\pi\) | |||||||
\(972\) | 17.4533 | + | 19.0986i | 0.559814 | + | 0.612587i | ||||
\(973\) | −6.52645 | + | 11.3041i | −0.209228 | + | 0.362394i | ||||
\(974\) | −30.2525 | − | 41.3176i | −0.969352 | − | 1.32390i | ||||
\(975\) | −14.3364 | − | 8.27711i | −0.459132 | − | 0.265080i | ||||
\(976\) | −20.3993 | + | 9.44539i | −0.652964 | + | 0.302340i | ||||
\(977\) | 6.92660i | 0.221602i | 0.993843 | + | 0.110801i | \(0.0353415\pi\) | ||||
−0.993843 | + | 0.110801i | \(0.964658\pi\) | |||||||
\(978\) | 25.8520 | + | 11.3960i | 0.826656 | + | 0.364403i | ||||
\(979\) | 7.34243 | − | 12.7175i | 0.234665 | − | 0.406452i | ||||
\(980\) | 34.0490 | − | 7.50031i | 1.08766 | − | 0.239588i | ||||
\(981\) | 16.6711i | 0.532268i | ||||||||
\(982\) | 7.71150 | + | 3.39935i | 0.246084 | + | 0.108478i | ||||
\(983\) | 17.5996 | + | 30.4835i | 0.561341 | + | 0.972272i | 0.997380 | + | 0.0723437i | \(0.0230479\pi\) |
−0.436038 | + | 0.899928i | \(0.643619\pi\) | |||||||
\(984\) | −4.46561 | − | 0.897663i | −0.142358 | − | 0.0286165i | ||||
\(985\) | −2.23213 | − | 3.86616i | −0.0711215 | − | 0.123186i | ||||
\(986\) | 10.5018 | − | 7.68937i | 0.334446 | − | 0.244879i | ||||
\(987\) | 11.2767 | 0.358942 | ||||||||
\(988\) | 6.36383 | − | 20.4730i | 0.202460 | − | 0.651334i | ||||
\(989\) | 51.2660 | 1.63016 | ||||||||
\(990\) | 10.6302 | − | 7.78338i | 0.337851 | − | 0.247372i | ||||
\(991\) | 24.9524 | + | 43.2188i | 0.792638 | + | 1.37289i | 0.924328 | + | 0.381599i | \(0.124626\pi\) |
−0.131690 | + | 0.991291i | \(0.542040\pi\) | |||||||
\(992\) | −0.812648 | − | 44.0564i | −0.0258016 | − | 1.39879i | ||||
\(993\) | 5.93117 | + | 10.2731i | 0.188220 | + | 0.326007i | ||||
\(994\) | −10.1165 | − | 4.45951i | −0.320875 | − | 0.141447i | ||||
\(995\) | 0.895899i | 0.0284019i | ||||||||
\(996\) | −4.29908 | − | 19.5165i | −0.136221 | − | 0.618403i | ||||
\(997\) | −2.63314 | + | 4.56074i | −0.0833925 | + | 0.144440i | −0.904705 | − | 0.426038i | \(-0.859909\pi\) |
0.821313 | + | 0.570478i | \(0.193242\pi\) | |||||||
\(998\) | −30.1214 | − | 13.2780i | −0.953475 | − | 0.420307i | ||||
\(999\) | 55.6309i | 1.76008i |
(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 | 76.2.f.a.31.7 | yes | 16 | |
3.2 | odd | 2 | 684.2.r.a.487.2 | 16 | |||
4.3 | odd | 2 | inner | 76.2.f.a.31.4 | yes | 16 | |
8.3 | odd | 2 | 1216.2.n.f.639.6 | 16 | |||
8.5 | even | 2 | 1216.2.n.f.639.3 | 16 | |||
12.11 | even | 2 | 684.2.r.a.487.5 | 16 | |||
19.8 | odd | 6 | inner | 76.2.f.a.27.4 | ✓ | 16 | |
57.8 | even | 6 | 684.2.r.a.559.5 | 16 | |||
76.27 | even | 6 | inner | 76.2.f.a.27.7 | yes | 16 | |
152.27 | even | 6 | 1216.2.n.f.255.3 | 16 | |||
152.141 | odd | 6 | 1216.2.n.f.255.6 | 16 | |||
228.179 | odd | 6 | 684.2.r.a.559.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.f.a.27.4 | ✓ | 16 | 19.8 | odd | 6 | inner | |
76.2.f.a.27.7 | yes | 16 | 76.27 | even | 6 | inner | |
76.2.f.a.31.4 | yes | 16 | 4.3 | odd | 2 | inner | |
76.2.f.a.31.7 | yes | 16 | 1.1 | even | 1 | trivial | |
684.2.r.a.487.2 | 16 | 3.2 | odd | 2 | |||
684.2.r.a.487.5 | 16 | 12.11 | even | 2 | |||
684.2.r.a.559.2 | 16 | 228.179 | odd | 6 | |||
684.2.r.a.559.5 | 16 | 57.8 | even | 6 | |||
1216.2.n.f.255.3 | 16 | 152.27 | even | 6 | |||
1216.2.n.f.255.6 | 16 | 152.141 | odd | 6 | |||
1216.2.n.f.639.3 | 16 | 8.5 | even | 2 | |||
1216.2.n.f.639.6 | 16 | 8.3 | odd | 2 |