Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.1 | ||
Character | \(\chi\) | \(=\) | 546.185 |
Dual form | 546.2.u.a.425.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −1.67595 | + | 0.437249i | −0.967611 | + | 0.252446i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.40279 | + | 2.42970i | 0.627345 | + | 1.08659i | 0.988082 | + | 0.153926i | \(0.0491916\pi\) |
−0.360738 | + | 0.932667i | \(0.617475\pi\) | |||||||
\(6\) | 1.67004 | + | 0.459307i | 0.681791 | + | 0.187511i | ||||
\(7\) | 1.42569 | − | 2.22877i | 0.538859 | − | 0.842396i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.61763 | − | 1.46562i | 0.872542 | − | 0.488538i | ||||
\(10\) | − | 2.80557i | − | 0.887199i | ||||||
\(11\) | 2.61426i | 0.788229i | 0.919061 | + | 0.394114i | \(0.128949\pi\) | ||||
−0.919061 | + | 0.394114i | \(0.871051\pi\) | |||||||
\(12\) | −1.21664 | − | 1.23279i | −0.351215 | − | 0.355876i | ||||
\(13\) | 0.591455 | − | 3.55671i | 0.164040 | − | 0.986454i | ||||
\(14\) | −2.34907 | + | 1.21733i | −0.627814 | + | 0.325345i | ||||
\(15\) | −3.41338 | − | 3.45869i | −0.881331 | − | 0.893029i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −2.31392 | − | 4.00782i | −0.561208 | − | 0.972040i | −0.997391 | − | 0.0721824i | \(-0.977004\pi\) |
0.436184 | − | 0.899858i | \(-0.356330\pi\) | |||||||
\(18\) | −2.99974 | − | 0.0395536i | −0.707045 | − | 0.00932286i | ||||
\(19\) | 6.81336i | 1.56309i | 0.623847 | + | 0.781546i | \(0.285569\pi\) | ||||
−0.623847 | + | 0.781546i | \(0.714431\pi\) | |||||||
\(20\) | −1.40279 | + | 2.42970i | −0.313672 | + | 0.543297i | ||||
\(21\) | −1.41486 | + | 4.35869i | −0.308747 | + | 0.951144i | ||||
\(22\) | 1.30713 | − | 2.26401i | 0.278681 | − | 0.482690i | ||||
\(23\) | 4.59740 | + | 2.65431i | 0.958624 | + | 0.553462i | 0.895749 | − | 0.444559i | \(-0.146640\pi\) |
0.0628751 | + | 0.998021i | \(0.479973\pi\) | |||||||
\(24\) | 0.437249 | + | 1.67595i | 0.0892530 | + | 0.342102i | ||||
\(25\) | −1.43561 | + | 2.48656i | −0.287123 | + | 0.497311i | ||||
\(26\) | −2.29057 | + | 2.78447i | −0.449218 | + | 0.546080i | ||||
\(27\) | −3.74618 | + | 3.60085i | −0.720952 | + | 0.692985i | ||||
\(28\) | 2.64302 | + | 0.120296i | 0.499483 | + | 0.0227338i | ||||
\(29\) | 5.91509 | − | 3.41508i | 1.09840 | − | 0.634164i | 0.162603 | − | 0.986692i | \(-0.448011\pi\) |
0.935802 | + | 0.352527i | \(0.114678\pi\) | |||||||
\(30\) | 1.22673 | + | 4.70200i | 0.223970 | + | 0.858464i | ||||
\(31\) | 5.96408 | + | 3.44336i | 1.07118 | + | 0.618446i | 0.928504 | − | 0.371323i | \(-0.121096\pi\) |
0.142677 | + | 0.989769i | \(0.454429\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −1.14308 | − | 4.38137i | −0.198985 | − | 0.762699i | ||||
\(34\) | 4.62784i | 0.793667i | ||||||||
\(35\) | 7.41517 | + | 0.337499i | 1.25339 | + | 0.0570477i | ||||
\(36\) | 2.57807 | + | 1.53412i | 0.429679 | + | 0.255687i | ||||
\(37\) | 0.497079 | − | 0.860965i | 0.0817192 | − | 0.141542i | −0.822269 | − | 0.569099i | \(-0.807292\pi\) |
0.903988 | + | 0.427557i | \(0.140626\pi\) | |||||||
\(38\) | 3.40668 | − | 5.90055i | 0.552637 | − | 0.957195i | ||||
\(39\) | 0.563917 | + | 6.21949i | 0.0902989 | + | 0.995915i | ||||
\(40\) | 2.42970 | − | 1.40279i | 0.384169 | − | 0.221800i | ||||
\(41\) | −1.10966 | − | 1.92198i | −0.173299 | − | 0.300163i | 0.766272 | − | 0.642516i | \(-0.222109\pi\) |
−0.939571 | + | 0.342353i | \(0.888776\pi\) | |||||||
\(42\) | 3.40465 | − | 3.06731i | 0.525348 | − | 0.473296i | ||||
\(43\) | −3.67020 | + | 6.35698i | −0.559701 | + | 0.969430i | 0.437820 | + | 0.899062i | \(0.355751\pi\) |
−0.997521 | + | 0.0703677i | \(0.977583\pi\) | |||||||
\(44\) | −2.26401 | + | 1.30713i | −0.341313 | + | 0.197057i | ||||
\(45\) | 7.23297 | + | 4.30409i | 1.07823 | + | 0.641616i | ||||
\(46\) | −2.65431 | − | 4.59740i | −0.391357 | − | 0.677850i | ||||
\(47\) | 1.77046 | + | 3.06652i | 0.258248 | + | 0.447298i | 0.965773 | − | 0.259390i | \(-0.0835216\pi\) |
−0.707525 | + | 0.706688i | \(0.750188\pi\) | |||||||
\(48\) | 0.459307 | − | 1.67004i | 0.0662953 | − | 0.241050i | ||||
\(49\) | −2.93483 | − | 6.35506i | −0.419262 | − | 0.907865i | ||||
\(50\) | 2.48656 | − | 1.43561i | 0.351652 | − | 0.203027i | ||||
\(51\) | 5.63043 | + | 5.70516i | 0.788418 | + | 0.798882i | ||||
\(52\) | 3.37593 | − | 1.26614i | 0.468157 | − | 0.175582i | ||||
\(53\) | 9.16567 | + | 5.29180i | 1.25900 | + | 0.726885i | 0.972880 | − | 0.231308i | \(-0.0743006\pi\) |
0.286121 | + | 0.958193i | \(0.407634\pi\) | |||||||
\(54\) | 5.04471 | − | 1.24534i | 0.686498 | − | 0.169470i | ||||
\(55\) | −6.35185 | + | 3.66724i | −0.856484 | + | 0.494491i | ||||
\(56\) | −2.22877 | − | 1.42569i | −0.297832 | − | 0.190515i | ||||
\(57\) | −2.97913 | − | 11.4189i | −0.394596 | − | 1.51247i | ||||
\(58\) | −6.83016 | −0.896844 | ||||||||
\(59\) | −1.53008 | − | 2.65018i | −0.199200 | − | 0.345024i | 0.749069 | − | 0.662492i | \(-0.230501\pi\) |
−0.948269 | + | 0.317467i | \(0.897168\pi\) | |||||||
\(60\) | 1.28862 | − | 4.68542i | 0.166360 | − | 0.604885i | ||||
\(61\) | 11.9390i | 1.52863i | 0.644845 | + | 0.764314i | \(0.276922\pi\) | ||||
−0.644845 | + | 0.764314i | \(0.723078\pi\) | |||||||
\(62\) | −3.44336 | − | 5.96408i | −0.437308 | − | 0.757439i | ||||
\(63\) | 0.465397 | − | 7.92360i | 0.0586345 | − | 0.998280i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 9.47141 | − | 3.55224i | 1.17478 | − | 0.440602i | ||||
\(66\) | −1.20075 | + | 4.36592i | −0.147802 | + | 0.537408i | ||||
\(67\) | 9.93727 | 1.21403 | 0.607015 | − | 0.794690i | \(-0.292367\pi\) | ||||
0.607015 | + | 0.794690i | \(0.292367\pi\) | |||||||
\(68\) | 2.31392 | − | 4.00782i | 0.280604 | − | 0.486020i | ||||
\(69\) | −8.86562 | − | 2.43829i | −1.06729 | − | 0.293535i | ||||
\(70\) | −6.25297 | − | 3.99987i | −0.747373 | − | 0.478075i | ||||
\(71\) | 4.88106 | + | 2.81808i | 0.579276 | + | 0.334445i | 0.760845 | − | 0.648933i | \(-0.224785\pi\) |
−0.181570 | + | 0.983378i | \(0.558118\pi\) | |||||||
\(72\) | −1.46562 | − | 2.61763i | −0.172724 | − | 0.308490i | ||||
\(73\) | −1.76646 | − | 1.01987i | −0.206749 | − | 0.119366i | 0.393051 | − | 0.919517i | \(-0.371420\pi\) |
−0.599799 | + | 0.800150i | \(0.704753\pi\) | |||||||
\(74\) | −0.860965 | + | 0.497079i | −0.100085 | + | 0.0577842i | ||||
\(75\) | 1.31878 | − | 4.79507i | 0.152279 | − | 0.553687i | ||||
\(76\) | −5.90055 | + | 3.40668i | −0.676839 | + | 0.390773i | ||||
\(77\) | 5.82658 | + | 3.72712i | 0.664001 | + | 0.424744i | ||||
\(78\) | 2.62138 | − | 5.66819i | 0.296812 | − | 0.641796i | ||||
\(79\) | −0.142677 | − | 0.247123i | −0.0160524 | − | 0.0278035i | 0.857888 | − | 0.513837i | \(-0.171777\pi\) |
−0.873940 | + | 0.486034i | \(0.838443\pi\) | |||||||
\(80\) | −2.80557 | −0.313672 | ||||||||
\(81\) | 4.70394 | − | 7.67287i | 0.522660 | − | 0.852541i | ||||
\(82\) | 2.21931i | 0.245082i | ||||||||
\(83\) | −0.889066 | −0.0975876 | −0.0487938 | − | 0.998809i | \(-0.515538\pi\) | ||||
−0.0487938 | + | 0.998809i | \(0.515538\pi\) | |||||||
\(84\) | −4.48216 | + | 0.954045i | −0.489044 | + | 0.104095i | ||||
\(85\) | 6.49186 | − | 11.2442i | 0.704141 | − | 1.21961i | ||||
\(86\) | 6.35698 | − | 3.67020i | 0.685491 | − | 0.395768i | ||||
\(87\) | −8.42017 | + | 8.30987i | −0.902736 | + | 0.890912i | ||||
\(88\) | 2.61426 | 0.278681 | ||||||||
\(89\) | −7.24749 | + | 12.5530i | −0.768232 | + | 1.33062i | 0.170289 | + | 0.985394i | \(0.445530\pi\) |
−0.938521 | + | 0.345223i | \(0.887803\pi\) | |||||||
\(90\) | −4.11189 | − | 7.34394i | −0.433431 | − | 0.774119i | ||||
\(91\) | −7.08386 | − | 6.38897i | −0.742590 | − | 0.669746i | ||||
\(92\) | 5.30862i | 0.553462i | ||||||||
\(93\) | −11.5011 | − | 3.16312i | −1.19261 | − | 0.328001i | ||||
\(94\) | − | 3.54092i | − | 0.365218i | ||||||
\(95\) | −16.5544 | + | 9.55769i | −1.69845 | + | 0.980598i | ||||
\(96\) | −1.23279 | + | 1.21664i | −0.125821 | + | 0.124173i | ||||
\(97\) | −7.06699 | − | 4.08013i | −0.717544 | − | 0.414274i | 0.0963042 | − | 0.995352i | \(-0.469298\pi\) |
−0.813848 | + | 0.581078i | \(0.802631\pi\) | |||||||
\(98\) | −0.635888 | + | 6.97106i | −0.0642344 | + | 0.704183i | ||||
\(99\) | 3.83150 | + | 6.84316i | 0.385080 | + | 0.687763i | ||||
\(100\) | −2.87123 | −0.287123 | ||||||||
\(101\) | −4.90287 | −0.487854 | −0.243927 | − | 0.969794i | \(-0.578436\pi\) | ||||
−0.243927 | + | 0.969794i | \(0.578436\pi\) | |||||||
\(102\) | −2.02352 | − | 7.75603i | −0.200358 | − | 0.767961i | ||||
\(103\) | 2.88019 | − | 1.66288i | 0.283794 | − | 0.163848i | −0.351346 | − | 0.936246i | \(-0.614276\pi\) |
0.635140 | + | 0.772397i | \(0.280943\pi\) | |||||||
\(104\) | −3.55671 | − | 0.591455i | −0.348764 | − | 0.0579969i | ||||
\(105\) | −12.5750 | + | 2.67664i | −1.22720 | + | 0.261213i | ||||
\(106\) | −5.29180 | − | 9.16567i | −0.513985 | − | 0.890249i | ||||
\(107\) | −0.805764 | − | 0.465208i | −0.0778961 | − | 0.0449734i | 0.460546 | − | 0.887636i | \(-0.347654\pi\) |
−0.538442 | + | 0.842662i | \(0.680987\pi\) | |||||||
\(108\) | −4.99152 | − | 1.44386i | −0.480309 | − | 0.138935i | ||||
\(109\) | −5.59636 | + | 9.69317i | −0.536034 | + | 0.928438i | 0.463079 | + | 0.886317i | \(0.346745\pi\) |
−0.999113 | + | 0.0421205i | \(0.986589\pi\) | |||||||
\(110\) | 7.33449 | 0.699316 | ||||||||
\(111\) | −0.456624 | + | 1.66028i | −0.0433408 | + | 0.157587i | ||||
\(112\) | 1.21733 | + | 2.34907i | 0.115027 | + | 0.221966i | ||||
\(113\) | −1.95091 | − | 1.12636i | −0.183526 | − | 0.105959i | 0.405422 | − | 0.914130i | \(-0.367125\pi\) |
−0.588948 | + | 0.808171i | \(0.700458\pi\) | |||||||
\(114\) | −3.12943 | + | 11.3786i | −0.293098 | + | 1.06570i | ||||
\(115\) | 14.8937i | 1.38885i | ||||||||
\(116\) | 5.91509 | + | 3.41508i | 0.549202 | + | 0.317082i | ||||
\(117\) | −3.66456 | − | 10.1770i | −0.338789 | − | 0.940863i | ||||
\(118\) | 3.06017i | 0.281711i | ||||||||
\(119\) | −12.2314 | − | 0.556710i | −1.12125 | − | 0.0510335i | ||||
\(120\) | −3.45869 | + | 3.41338i | −0.315733 | + | 0.311598i | ||||
\(121\) | 4.16565 | 0.378695 | ||||||||
\(122\) | 5.96948 | − | 10.3394i | 0.540451 | − | 0.936089i | ||||
\(123\) | 2.70012 | + | 2.73595i | 0.243461 | + | 0.246693i | ||||
\(124\) | 6.88673i | 0.618446i | ||||||||
\(125\) | 5.97242 | 0.534189 | ||||||||
\(126\) | −4.36484 | + | 6.62934i | −0.388851 | + | 0.590588i | ||||
\(127\) | −9.32949 | − | 16.1591i | −0.827858 | − | 1.43389i | −0.899715 | − | 0.436478i | \(-0.856226\pi\) |
0.0718568 | − | 0.997415i | \(-0.477108\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 3.37150 | − | 12.2588i | 0.296844 | − | 1.07933i | ||||
\(130\) | −9.97860 | − | 1.65937i | −0.875181 | − | 0.145536i | ||||
\(131\) | −7.60360 | − | 13.1698i | −0.664330 | − | 1.15065i | −0.979467 | − | 0.201606i | \(-0.935384\pi\) |
0.315137 | − | 0.949046i | \(-0.397950\pi\) | |||||||
\(132\) | 3.22284 | − | 3.18062i | 0.280512 | − | 0.276838i | ||||
\(133\) | 15.1854 | + | 9.71372i | 1.31674 | + | 0.842287i | ||||
\(134\) | −8.60593 | − | 4.96864i | −0.743439 | − | 0.429225i | ||||
\(135\) | −14.0041 | − | 4.05085i | −1.20528 | − | 0.348641i | ||||
\(136\) | −4.00782 | + | 2.31392i | −0.343668 | + | 0.198417i | ||||
\(137\) | 9.00615 | − | 5.19970i | 0.769447 | − | 0.444240i | −0.0632303 | − | 0.997999i | \(-0.520140\pi\) |
0.832677 | + | 0.553759i | \(0.186807\pi\) | |||||||
\(138\) | 6.45870 | + | 6.54443i | 0.549801 | + | 0.557099i | ||||
\(139\) | −8.96591 | − | 5.17647i | −0.760478 | − | 0.439062i | 0.0689891 | − | 0.997617i | \(-0.478023\pi\) |
−0.829467 | + | 0.558555i | \(0.811356\pi\) | |||||||
\(140\) | 3.41530 | + | 6.59047i | 0.288646 | + | 0.556997i | ||||
\(141\) | −4.30803 | − | 4.36521i | −0.362802 | − | 0.367617i | ||||
\(142\) | −2.81808 | − | 4.88106i | −0.236488 | − | 0.409610i | ||||
\(143\) | 9.29816 | + | 1.54622i | 0.777551 | + | 0.129301i | ||||
\(144\) | −0.0395536 | + | 2.99974i | −0.00329613 | + | 0.249978i | ||||
\(145\) | 16.5952 | + | 9.58125i | 1.37816 | + | 0.795679i | ||||
\(146\) | 1.01987 | + | 1.76646i | 0.0844048 | + | 0.146193i | ||||
\(147\) | 7.69738 | + | 9.36752i | 0.634869 | + | 0.772620i | ||||
\(148\) | 0.994157 | 0.0817192 | ||||||||
\(149\) | − | 18.8211i | − | 1.54189i | −0.636904 | − | 0.770943i | \(-0.719785\pi\) | ||
0.636904 | − | 0.770943i | \(-0.280215\pi\) | |||||||
\(150\) | −3.53963 | + | 3.49326i | −0.289010 | + | 0.285224i | ||||
\(151\) | 10.8089 | − | 18.7215i | 0.879612 | − | 1.52353i | 0.0278447 | − | 0.999612i | \(-0.491136\pi\) |
0.851767 | − | 0.523920i | \(-0.175531\pi\) | |||||||
\(152\) | 6.81336 | 0.552637 | ||||||||
\(153\) | −11.9309 | − | 7.09967i | −0.964556 | − | 0.573975i | ||||
\(154\) | −3.18241 | − | 6.14107i | −0.256446 | − | 0.494861i | ||||
\(155\) | 19.3212i | 1.55192i | ||||||||
\(156\) | −5.10427 | + | 3.59811i | −0.408669 | + | 0.288079i | ||||
\(157\) | 4.43673 | + | 2.56155i | 0.354090 | + | 0.204434i | 0.666485 | − | 0.745518i | \(-0.267798\pi\) |
−0.312395 | + | 0.949952i | \(0.601131\pi\) | |||||||
\(158\) | 0.285353i | 0.0227015i | ||||||||
\(159\) | −17.6751 | − | 4.86113i | −1.40172 | − | 0.385512i | ||||
\(160\) | 2.42970 | + | 1.40279i | 0.192084 | + | 0.110900i | ||||
\(161\) | 12.4703 | − | 6.46234i | 0.982798 | − | 0.509303i | ||||
\(162\) | −7.91017 | + | 4.29293i | −0.621482 | + | 0.337284i | ||||
\(163\) | −17.4331 | −1.36547 | −0.682733 | − | 0.730668i | \(-0.739209\pi\) | ||||
−0.682733 | + | 0.730668i | \(0.739209\pi\) | |||||||
\(164\) | 1.10966 | − | 1.92198i | 0.0866497 | − | 0.150082i | ||||
\(165\) | 9.04190 | − | 8.92347i | 0.703911 | − | 0.694691i | ||||
\(166\) | 0.769953 | + | 0.444533i | 0.0597600 | + | 0.0345024i | ||||
\(167\) | −1.95407 | − | 3.38455i | −0.151211 | − | 0.261904i | 0.780462 | − | 0.625203i | \(-0.214984\pi\) |
−0.931673 | + | 0.363299i | \(0.881650\pi\) | |||||||
\(168\) | 4.35869 | + | 1.41486i | 0.336280 | + | 0.109158i | ||||
\(169\) | −12.3004 | − | 4.20727i | −0.946182 | − | 0.323636i | ||||
\(170\) | −11.2442 | + | 6.49186i | −0.862393 | + | 0.497903i | ||||
\(171\) | 9.98577 | + | 17.8348i | 0.763631 | + | 1.36386i | ||||
\(172\) | −7.34041 | −0.559701 | ||||||||
\(173\) | 6.68133 | 0.507972 | 0.253986 | − | 0.967208i | \(-0.418258\pi\) | ||||
0.253986 | + | 0.967208i | \(0.418258\pi\) | |||||||
\(174\) | 11.4470 | − | 2.98648i | 0.867796 | − | 0.226404i | ||||
\(175\) | 3.49523 | + | 6.74471i | 0.264214 | + | 0.509852i | ||||
\(176\) | −2.26401 | − | 1.30713i | −0.170657 | − | 0.0985286i | ||||
\(177\) | 3.72313 | + | 3.77255i | 0.279848 | + | 0.283562i | ||||
\(178\) | 12.5530 | − | 7.24749i | 0.940888 | − | 0.543222i | ||||
\(179\) | − | 8.13932i | − | 0.608361i | −0.952614 | − | 0.304181i | \(-0.901617\pi\) | ||
0.952614 | − | 0.304181i | \(-0.0983827\pi\) | |||||||
\(180\) | −0.110970 | + | 8.41598i | −0.00827124 | + | 0.627290i | ||||
\(181\) | 14.2577i | 1.05977i | 0.848070 | + | 0.529885i | \(0.177765\pi\) | ||||
−0.848070 | + | 0.529885i | \(0.822235\pi\) | |||||||
\(182\) | 2.94032 | + | 9.07494i | 0.217951 | + | 0.672679i | ||||
\(183\) | −5.22029 | − | 20.0091i | −0.385895 | − | 1.47912i | ||||
\(184\) | 2.65431 | − | 4.59740i | 0.195678 | − | 0.338925i | ||||
\(185\) | 2.78918 | 0.205064 | ||||||||
\(186\) | 8.37870 | + | 8.48991i | 0.614356 | + | 0.622510i | ||||
\(187\) | 10.4775 | − | 6.04918i | 0.766190 | − | 0.442360i | ||||
\(188\) | −1.77046 | + | 3.06652i | −0.129124 | + | 0.223649i | ||||
\(189\) | 2.68460 | + | 13.4831i | 0.195276 | + | 0.980748i | ||||
\(190\) | 19.1154 | 1.38678 | ||||||||
\(191\) | 1.83134i | 0.132511i | 0.997803 | + | 0.0662555i | \(0.0211052\pi\) | ||||
−0.997803 | + | 0.0662555i | \(0.978895\pi\) | |||||||
\(192\) | 1.67595 | − | 0.437249i | 0.120951 | − | 0.0315557i | ||||
\(193\) | 1.66653 | 0.119959 | 0.0599797 | − | 0.998200i | \(-0.480896\pi\) | ||||
0.0599797 | + | 0.998200i | \(0.480896\pi\) | |||||||
\(194\) | 4.08013 | + | 7.06699i | 0.292936 | + | 0.507380i | ||||
\(195\) | −14.3204 | + | 10.0947i | −1.02551 | + | 0.722900i | ||||
\(196\) | 4.03622 | − | 5.71917i | 0.288302 | − | 0.408512i | ||||
\(197\) | 7.33528 | − | 4.23502i | 0.522617 | − | 0.301733i | −0.215388 | − | 0.976529i | \(-0.569102\pi\) |
0.738005 | + | 0.674796i | \(0.235768\pi\) | |||||||
\(198\) | 0.103403 | − | 7.84210i | 0.00734855 | − | 0.557313i | ||||
\(199\) | −15.5210 | + | 8.96106i | −1.10025 | + | 0.635232i | −0.936288 | − | 0.351233i | \(-0.885762\pi\) |
−0.163967 | + | 0.986466i | \(0.552429\pi\) | |||||||
\(200\) | 2.48656 | + | 1.43561i | 0.175826 | + | 0.101513i | ||||
\(201\) | −16.6544 | + | 4.34506i | −1.17471 | + | 0.306477i | ||||
\(202\) | 4.24601 | + | 2.45144i | 0.298748 | + | 0.172482i | ||||
\(203\) | 0.821640 | − | 18.0522i | 0.0576678 | − | 1.26702i | ||||
\(204\) | −2.12560 | + | 7.72868i | −0.148822 | + | 0.541116i | ||||
\(205\) | 3.11322 | − | 5.39226i | 0.217437 | − | 0.376612i | ||||
\(206\) | −3.32576 | −0.231717 | ||||||||
\(207\) | 15.9245 | + | 0.209975i | 1.10683 | + | 0.0145943i | ||||
\(208\) | 2.78447 | + | 2.29057i | 0.193068 | + | 0.158822i | ||||
\(209\) | −17.8119 | −1.23207 | ||||||||
\(210\) | 12.2286 | + | 3.96948i | 0.843855 | + | 0.273920i | ||||
\(211\) | −11.6075 | − | 20.1047i | −0.799091 | − | 1.38407i | −0.920209 | − | 0.391428i | \(-0.871981\pi\) |
0.121118 | − | 0.992638i | \(-0.461352\pi\) | |||||||
\(212\) | 10.5836i | 0.726885i | ||||||||
\(213\) | −9.41263 | − | 2.58873i | −0.644943 | − | 0.177377i | ||||
\(214\) | 0.465208 | + | 0.805764i | 0.0318010 | + | 0.0550809i | ||||
\(215\) | −20.5940 | −1.40450 | ||||||||
\(216\) | 3.60085 | + | 3.74618i | 0.245007 | + | 0.254895i | ||||
\(217\) | 16.1774 | − | 8.38341i | 1.09819 | − | 0.569103i | ||||
\(218\) | 9.69317 | − | 5.59636i | 0.656504 | − | 0.379033i | ||||
\(219\) | 3.40644 | + | 0.936864i | 0.230186 | + | 0.0633074i | ||||
\(220\) | −6.35185 | − | 3.66724i | −0.428242 | − | 0.247246i | ||||
\(221\) | −15.6232 | + | 5.85949i | −1.05093 | + | 0.394152i | ||||
\(222\) | 1.22559 | − | 1.20954i | 0.0822562 | − | 0.0811787i | ||||
\(223\) | 8.50389 | − | 4.90972i | 0.569462 | − | 0.328779i | −0.187472 | − | 0.982270i | \(-0.560029\pi\) |
0.756935 | + | 0.653491i | \(0.226696\pi\) | |||||||
\(224\) | 0.120296 | − | 2.64302i | 0.00803761 | − | 0.176594i | ||||
\(225\) | −0.113567 | + | 8.61294i | −0.00757115 | + | 0.574196i | ||||
\(226\) | 1.12636 | + | 1.95091i | 0.0749243 | + | 0.129773i | ||||
\(227\) | 10.0099 | + | 17.3377i | 0.664383 | + | 1.15074i | 0.979452 | + | 0.201676i | \(0.0646389\pi\) |
−0.315069 | + | 0.949069i | \(0.602028\pi\) | |||||||
\(228\) | 8.39946 | − | 8.28944i | 0.556268 | − | 0.548982i | ||||
\(229\) | 23.6469 | − | 13.6525i | 1.56263 | − | 0.902185i | 0.565641 | − | 0.824651i | \(-0.308629\pi\) |
0.996990 | − | 0.0775340i | \(-0.0247046\pi\) | |||||||
\(230\) | 7.44686 | − | 12.8983i | 0.491031 | − | 0.850491i | ||||
\(231\) | −11.3947 | − | 3.69880i | −0.749719 | − | 0.243363i | ||||
\(232\) | −3.41508 | − | 5.91509i | −0.224211 | − | 0.388345i | ||||
\(233\) | −20.1926 | + | 11.6582i | −1.32286 | + | 0.763754i | −0.984184 | − | 0.177149i | \(-0.943313\pi\) |
−0.338677 | + | 0.940903i | \(0.609979\pi\) | |||||||
\(234\) | −1.91489 | + | 10.6458i | −0.125180 | + | 0.695938i | ||||
\(235\) | −4.96714 | + | 8.60335i | −0.324021 | + | 0.561220i | ||||
\(236\) | 1.53008 | − | 2.65018i | 0.0995999 | − | 0.172512i | ||||
\(237\) | 0.347174 | + | 0.351781i | 0.0225513 | + | 0.0228507i | ||||
\(238\) | 10.3144 | + | 6.59785i | 0.668582 | + | 0.427675i | ||||
\(239\) | 12.6283i | 0.816854i | 0.912791 | + | 0.408427i | \(0.133923\pi\) | ||||
−0.912791 | + | 0.408427i | \(0.866077\pi\) | |||||||
\(240\) | 4.70200 | − | 1.22673i | 0.303513 | − | 0.0791852i | ||||
\(241\) | 9.19785 | − | 5.31038i | 0.592485 | − | 0.342072i | −0.173594 | − | 0.984817i | \(-0.555538\pi\) |
0.766080 | + | 0.642746i | \(0.222205\pi\) | |||||||
\(242\) | −3.60756 | − | 2.08282i | −0.231903 | − | 0.133889i | ||||
\(243\) | −4.52863 | + | 14.9161i | −0.290512 | + | 0.956871i | ||||
\(244\) | −10.3394 | + | 5.96948i | −0.661915 | + | 0.382157i | ||||
\(245\) | 11.3239 | − | 16.0455i | 0.723458 | − | 1.02511i | ||||
\(246\) | −0.970392 | − | 3.71946i | −0.0618699 | − | 0.237144i | ||||
\(247\) | 24.2332 | + | 4.02980i | 1.54192 | + | 0.256410i | ||||
\(248\) | 3.44336 | − | 5.96408i | 0.218654 | − | 0.378720i | ||||
\(249\) | 1.49003 | − | 0.388743i | 0.0944269 | − | 0.0246356i | ||||
\(250\) | −5.17227 | − | 2.98621i | −0.327123 | − | 0.188864i | ||||
\(251\) | −10.7007 | + | 18.5341i | −0.675421 | + | 1.16986i | 0.300924 | + | 0.953648i | \(0.402705\pi\) |
−0.976346 | + | 0.216216i | \(0.930628\pi\) | |||||||
\(252\) | 7.09474 | − | 3.55875i | 0.446926 | − | 0.224180i | ||||
\(253\) | −6.93906 | + | 12.0188i | −0.436255 | + | 0.755615i | ||||
\(254\) | 18.6590i | 1.17077i | ||||||||
\(255\) | −5.96352 | + | 21.6833i | −0.373450 | + | 1.35786i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.66830 | − | 15.0139i | 0.540714 | − | 0.936543i | −0.458150 | − | 0.888875i | \(-0.651488\pi\) |
0.998863 | − | 0.0476683i | \(-0.0151790\pi\) | |||||||
\(258\) | −9.04920 | + | 8.93066i | −0.563378 | + | 0.555999i | ||||
\(259\) | −1.21022 | − | 2.33534i | −0.0751991 | − | 0.145111i | ||||
\(260\) | 7.81204 | + | 6.42636i | 0.484482 | + | 0.398546i | ||||
\(261\) | 10.4783 | − | 17.6086i | 0.648591 | − | 1.08995i | ||||
\(262\) | 15.2072i | 0.939504i | ||||||||
\(263\) | − | 22.9360i | − | 1.41430i | −0.707066 | − | 0.707148i | \(-0.749981\pi\) | ||
0.707066 | − | 0.707148i | \(-0.250019\pi\) | |||||||
\(264\) | −4.38137 | + | 1.14308i | −0.269655 | + | 0.0703518i | ||||
\(265\) | 29.6931i | 1.82403i | ||||||||
\(266\) | −8.29410 | − | 16.0050i | −0.508544 | − | 0.981332i | ||||
\(267\) | 6.65765 | − | 24.2072i | 0.407441 | − | 1.48146i | ||||
\(268\) | 4.96864 | + | 8.60593i | 0.303508 | + | 0.525691i | ||||
\(269\) | −16.0590 | − | 27.8150i | −0.979134 | − | 1.69591i | −0.665556 | − | 0.746348i | \(-0.731806\pi\) |
−0.313578 | − | 0.949563i | \(-0.601528\pi\) | |||||||
\(270\) | 10.1025 | + | 10.5102i | 0.614816 | + | 0.639628i | ||||
\(271\) | 8.03023 | + | 4.63626i | 0.487802 | + | 0.281633i | 0.723662 | − | 0.690154i | \(-0.242457\pi\) |
−0.235860 | + | 0.971787i | \(0.575791\pi\) | |||||||
\(272\) | 4.62784 | 0.280604 | ||||||||
\(273\) | 14.6658 | + | 7.61020i | 0.887613 | + | 0.460590i | ||||
\(274\) | −10.3994 | −0.628251 | ||||||||
\(275\) | −6.50051 | − | 3.75307i | −0.391995 | − | 0.226319i | ||||
\(276\) | −2.32119 | − | 8.89699i | −0.139719 | − | 0.535536i | ||||
\(277\) | 4.92627 | + | 8.53254i | 0.295991 | + | 0.512671i | 0.975215 | − | 0.221260i | \(-0.0710170\pi\) |
−0.679224 | + | 0.733931i | \(0.737684\pi\) | |||||||
\(278\) | 5.17647 | + | 8.96591i | 0.310464 | + | 0.537739i | ||||
\(279\) | 20.6584 | + | 0.272395i | 1.23679 | + | 0.0163078i | ||||
\(280\) | 0.337499 | − | 7.41517i | 0.0201694 | − | 0.443141i | ||||
\(281\) | 8.70642i | 0.519381i | 0.965692 | + | 0.259691i | \(0.0836206\pi\) | ||||
−0.965692 | + | 0.259691i | \(0.916379\pi\) | |||||||
\(282\) | 1.54826 | + | 5.93440i | 0.0921976 | + | 0.353389i | ||||
\(283\) | − | 12.7858i | − | 0.760035i | −0.924979 | − | 0.380017i | \(-0.875918\pi\) | ||
0.924979 | − | 0.380017i | \(-0.124082\pi\) | |||||||
\(284\) | 5.63617i | 0.334445i | ||||||||
\(285\) | 23.5653 | − | 23.2566i | 1.39589 | − | 1.37760i | ||||
\(286\) | −7.27933 | − | 5.98814i | −0.430436 | − | 0.354086i | ||||
\(287\) | −5.86568 | − | 0.266974i | −0.346240 | − | 0.0157590i | ||||
\(288\) | 1.53412 | − | 2.57807i | 0.0903991 | − | 0.151914i | ||||
\(289\) | −2.20843 | + | 3.82512i | −0.129908 | + | 0.225007i | ||||
\(290\) | −9.58125 | − | 16.5952i | −0.562630 | − | 0.974504i | ||||
\(291\) | 13.6280 | + | 3.74806i | 0.798885 | + | 0.219715i | ||||
\(292\) | − | 2.03973i | − | 0.119366i | ||||||
\(293\) | 6.42265 | − | 11.1244i | 0.375215 | − | 0.649892i | −0.615144 | − | 0.788415i | \(-0.710902\pi\) |
0.990359 | + | 0.138523i | \(0.0442354\pi\) | |||||||
\(294\) | −1.98237 | − | 11.9612i | −0.115614 | − | 0.697591i | ||||
\(295\) | 4.29276 | − | 7.43527i | 0.249934 | − | 0.432898i | ||||
\(296\) | −0.860965 | − | 0.497079i | −0.0500426 | − | 0.0288921i | ||||
\(297\) | −9.41357 | − | 9.79348i | −0.546231 | − | 0.568275i | ||||
\(298\) | −9.41056 | + | 16.2996i | −0.545139 | + | 0.944209i | ||||
\(299\) | 12.1598 | − | 14.7817i | 0.703218 | − | 0.854849i | ||||
\(300\) | 4.81204 | − | 1.25544i | 0.277823 | − | 0.0724829i | ||||
\(301\) | 8.93568 | + | 17.2431i | 0.515044 | + | 0.993876i | ||||
\(302\) | −18.7215 | + | 10.8089i | −1.07730 | + | 0.621980i | ||||
\(303\) | 8.21697 | − | 2.14377i | 0.472053 | − | 0.123157i | ||||
\(304\) | −5.90055 | − | 3.40668i | −0.338420 | − | 0.195387i | ||||
\(305\) | −29.0080 | + | 16.7478i | −1.66100 | + | 0.958976i | ||||
\(306\) | 6.78263 | + | 12.1139i | 0.387737 | + | 0.692508i | ||||
\(307\) | − | 17.8915i | − | 1.02112i | −0.859842 | − | 0.510561i | \(-0.829438\pi\) | ||
0.859842 | − | 0.510561i | \(-0.170562\pi\) | |||||||
\(308\) | −0.314485 | + | 6.90953i | −0.0179194 | + | 0.393707i | ||||
\(309\) | −4.09997 | + | 4.04626i | −0.233239 | + | 0.230184i | ||||
\(310\) | 9.66060 | − | 16.7327i | 0.548685 | − | 0.950351i | ||||
\(311\) | −12.1246 | + | 21.0005i | −0.687524 | + | 1.19083i | 0.285112 | + | 0.958494i | \(0.407969\pi\) |
−0.972636 | + | 0.232333i | \(0.925364\pi\) | |||||||
\(312\) | 6.21949 | − | 0.563917i | 0.352109 | − | 0.0319255i | ||||
\(313\) | −24.7522 | + | 14.2907i | −1.39908 | + | 0.807757i | −0.994296 | − | 0.106657i | \(-0.965985\pi\) |
−0.404780 | + | 0.914414i | \(0.632652\pi\) | |||||||
\(314\) | −2.56155 | − | 4.43673i | −0.144557 | − | 0.250379i | ||||
\(315\) | 19.9048 | − | 9.98434i | 1.12151 | − | 0.562554i | ||||
\(316\) | 0.142677 | − | 0.247123i | 0.00802619 | − | 0.0139018i | ||||
\(317\) | −4.70911 | + | 2.71880i | −0.264490 | + | 0.152703i | −0.626381 | − | 0.779517i | \(-0.715465\pi\) |
0.361891 | + | 0.932220i | \(0.382131\pi\) | |||||||
\(318\) | 12.8765 | + | 13.0474i | 0.722077 | + | 0.731661i | ||||
\(319\) | 8.92790 | + | 15.4636i | 0.499866 | + | 0.865794i | ||||
\(320\) | −1.40279 | − | 2.42970i | −0.0784181 | − | 0.135824i | ||||
\(321\) | 1.55383 | + | 0.427347i | 0.0867265 | + | 0.0238522i | ||||
\(322\) | −14.0308 | − | 0.638606i | −0.781904 | − | 0.0355881i | ||||
\(323\) | 27.3068 | − | 15.7656i | 1.51939 | − | 0.877220i | ||||
\(324\) | 8.99687 | + | 0.237301i | 0.499826 | + | 0.0131834i | ||||
\(325\) | 7.99486 | + | 6.57675i | 0.443475 | + | 0.364812i | ||||
\(326\) | 15.0975 | + | 8.71655i | 0.836173 | + | 0.482765i | ||||
\(327\) | 5.14089 | − | 18.6923i | 0.284292 | − | 1.03369i | ||||
\(328\) | −1.92198 | + | 1.10966i | −0.106124 | + | 0.0612706i | ||||
\(329\) | 9.35869 | + | 0.425958i | 0.515961 | + | 0.0234838i | ||||
\(330\) | −12.2922 | + | 3.20700i | −0.676666 | + | 0.176539i | ||||
\(331\) | 25.9427 | 1.42594 | 0.712969 | − | 0.701196i | \(-0.247350\pi\) | ||||
0.712969 | + | 0.701196i | \(0.247350\pi\) | |||||||
\(332\) | −0.444533 | − | 0.769953i | −0.0243969 | − | 0.0422567i | ||||
\(333\) | 0.0393225 | − | 2.98221i | 0.00215486 | − | 0.163424i | ||||
\(334\) | 3.90814i | 0.213844i | ||||||||
\(335\) | 13.9399 | + | 24.1445i | 0.761616 | + | 1.31916i | ||||
\(336\) | −3.06731 | − | 3.40465i | −0.167335 | − | 0.185739i | ||||
\(337\) | 14.7253 | 0.802138 | 0.401069 | − | 0.916048i | \(-0.368639\pi\) | ||||
0.401069 | + | 0.916048i | \(0.368639\pi\) | |||||||
\(338\) | 8.54879 | + | 9.79378i | 0.464993 | + | 0.532711i | ||||
\(339\) | 3.76213 | + | 1.03469i | 0.204331 | + | 0.0561967i | ||||
\(340\) | 12.9837 | 0.704141 | ||||||||
\(341\) | −9.00185 | + | 15.5917i | −0.487477 | + | 0.844335i | ||||
\(342\) | 0.269493 | − | 20.4383i | 0.0145725 | − | 1.10518i | ||||
\(343\) | −18.3481 | − | 2.51925i | −0.990705 | − | 0.136027i | ||||
\(344\) | 6.35698 | + | 3.67020i | 0.342745 | + | 0.197884i | ||||
\(345\) | −6.51226 | − | 24.9611i | −0.350608 | − | 1.34386i | ||||
\(346\) | −5.78620 | − | 3.34066i | −0.311068 | − | 0.179595i | ||||
\(347\) | −27.4410 | + | 15.8431i | −1.47311 | + | 0.850501i | −0.999542 | − | 0.0302562i | \(-0.990368\pi\) |
−0.473568 | + | 0.880757i | \(0.657034\pi\) | |||||||
\(348\) | −11.4066 | − | 3.13714i | −0.611460 | − | 0.168168i | ||||
\(349\) | −6.37536 | + | 3.68081i | −0.341265 | + | 0.197029i | −0.660831 | − | 0.750534i | \(-0.729796\pi\) |
0.319566 | + | 0.947564i | \(0.396463\pi\) | |||||||
\(350\) | 0.345397 | − | 7.58870i | 0.0184623 | − | 0.405633i | ||||
\(351\) | 10.5915 | + | 15.4538i | 0.565332 | + | 0.824863i | ||||
\(352\) | 1.30713 | + | 2.26401i | 0.0696702 | + | 0.120672i | ||||
\(353\) | −13.0914 | −0.696783 | −0.348391 | − | 0.937349i | \(-0.613272\pi\) | ||||
−0.348391 | + | 0.937349i | \(0.613272\pi\) | |||||||
\(354\) | −1.33805 | − | 5.12869i | −0.0711168 | − | 0.272587i | ||||
\(355\) | 15.8127i | 0.839249i | ||||||||
\(356\) | −14.4950 | −0.768232 | ||||||||
\(357\) | 20.7427 | − | 4.41516i | 1.09782 | − | 0.233675i | ||||
\(358\) | −4.06966 | + | 7.04886i | −0.215088 | + | 0.372544i | ||||
\(359\) | 4.73978 | − | 2.73651i | 0.250156 | − | 0.144428i | −0.369680 | − | 0.929159i | \(-0.620533\pi\) |
0.619836 | + | 0.784732i | \(0.287199\pi\) | |||||||
\(360\) | 4.30409 | − | 7.23297i | 0.226846 | − | 0.381211i | ||||
\(361\) | −27.4219 | −1.44326 | ||||||||
\(362\) | 7.12887 | − | 12.3476i | 0.374685 | − | 0.648974i | ||||
\(363\) | −6.98143 | + | 1.82142i | −0.366430 | + | 0.0956000i | ||||
\(364\) | 1.99108 | − | 9.32929i | 0.104361 | − | 0.488987i | ||||
\(365\) | − | 5.72262i | − | 0.299535i | ||||||
\(366\) | −5.48365 | + | 19.9386i | −0.286635 | + | 1.04220i | ||||
\(367\) | − | 5.81542i | − | 0.303563i | −0.988414 | − | 0.151781i | \(-0.951499\pi\) | ||
0.988414 | − | 0.151781i | \(-0.0485009\pi\) | |||||||
\(368\) | −4.59740 | + | 2.65431i | −0.239656 | + | 0.138366i | ||||
\(369\) | −5.72155 | − | 3.40470i | −0.297852 | − | 0.177242i | ||||
\(370\) | −2.41550 | − | 1.39459i | −0.125576 | − | 0.0725012i | ||||
\(371\) | 24.8616 | − | 12.8837i | 1.29075 | − | 0.668889i | ||||
\(372\) | −3.01121 | − | 11.5418i | −0.156124 | − | 0.598416i | ||||
\(373\) | −12.6121 | −0.653030 | −0.326515 | − | 0.945192i | \(-0.605874\pi\) | ||||
−0.326515 | + | 0.945192i | \(0.605874\pi\) | |||||||
\(374\) | −12.0984 | −0.625591 | ||||||||
\(375\) | −10.0095 | + | 2.61143i | −0.516887 | + | 0.134854i | ||||
\(376\) | 3.06652 | − | 1.77046i | 0.158144 | − | 0.0913044i | ||||
\(377\) | −8.64793 | − | 23.0581i | −0.445391 | − | 1.18755i | ||||
\(378\) | 4.41660 | − | 13.0190i | 0.227165 | − | 0.669624i | ||||
\(379\) | 5.50295 | + | 9.53139i | 0.282668 | + | 0.489595i | 0.972041 | − | 0.234812i | \(-0.0754473\pi\) |
−0.689373 | + | 0.724406i | \(0.742114\pi\) | |||||||
\(380\) | −16.5544 | − | 9.55769i | −0.849223 | − | 0.490299i | ||||
\(381\) | 22.7013 | + | 23.0026i | 1.16302 | + | 1.17846i | ||||
\(382\) | 0.915669 | − | 1.58599i | 0.0468497 | − | 0.0811461i | ||||
\(383\) | −22.1992 | −1.13433 | −0.567164 | − | 0.823605i | \(-0.691959\pi\) | ||||
−0.567164 | + | 0.823605i | \(0.691959\pi\) | |||||||
\(384\) | −1.67004 | − | 0.459307i | −0.0852239 | − | 0.0234389i | ||||
\(385\) | −0.882309 | + | 19.3852i | −0.0449667 | + | 0.987960i | ||||
\(386\) | −1.44326 | − | 0.833264i | −0.0734598 | − | 0.0424120i | ||||
\(387\) | −0.290339 | + | 22.0193i | −0.0147588 | + | 1.11930i | ||||
\(388\) | − | 8.16025i | − | 0.414274i | ||||||
\(389\) | −8.80457 | − | 5.08332i | −0.446409 | − | 0.257735i | 0.259903 | − | 0.965635i | \(-0.416309\pi\) |
−0.706313 | + | 0.707900i | \(0.749643\pi\) | |||||||
\(390\) | 17.4492 | − | 1.58211i | 0.883575 | − | 0.0801132i | ||||
\(391\) | − | 24.5674i | − | 1.24243i | ||||||
\(392\) | −6.35506 | + | 2.93483i | −0.320979 | + | 0.148231i | ||||
\(393\) | 18.5018 | + | 18.7473i | 0.933290 | + | 0.945677i | ||||
\(394\) | −8.47005 | −0.426715 | ||||||||
\(395\) | 0.400290 | − | 0.693322i | 0.0201408 | − | 0.0348848i | ||||
\(396\) | −4.01060 | + | 6.73975i | −0.201540 | + | 0.338685i | ||||
\(397\) | − | 27.0040i | − | 1.35529i | −0.735387 | − | 0.677647i | \(-0.763000\pi\) | ||
0.735387 | − | 0.677647i | \(-0.237000\pi\) | |||||||
\(398\) | 17.9221 | 0.898354 | ||||||||
\(399\) | −29.6973 | − | 9.63992i | −1.48673 | − | 0.482600i | ||||
\(400\) | −1.43561 | − | 2.48656i | −0.0717807 | − | 0.124328i | ||||
\(401\) | 15.2872 | + | 8.82607i | 0.763407 | + | 0.440753i | 0.830518 | − | 0.556993i | \(-0.188045\pi\) |
−0.0671109 | + | 0.997746i | \(0.521378\pi\) | |||||||
\(402\) | 16.5956 | + | 4.56426i | 0.827716 | + | 0.227645i | ||||
\(403\) | 15.7745 | − | 19.1759i | 0.785785 | − | 0.955220i | ||||
\(404\) | −2.45144 | − | 4.24601i | −0.121963 | − | 0.211247i | ||||
\(405\) | 25.2414 | + | 0.665764i | 1.25425 | + | 0.0330821i | ||||
\(406\) | −9.73767 | + | 15.2229i | −0.483272 | + | 0.755497i | ||||
\(407\) | 2.25079 | + | 1.29949i | 0.111567 | + | 0.0644134i | ||||
\(408\) | 5.70516 | − | 5.63043i | 0.282448 | − | 0.278748i | ||||
\(409\) | −27.1340 | + | 15.6658i | −1.34169 | + | 0.774626i | −0.987056 | − | 0.160378i | \(-0.948729\pi\) |
−0.354636 | + | 0.935004i | \(0.615395\pi\) | |||||||
\(410\) | −5.39226 | + | 3.11322i | −0.266305 | + | 0.153751i | ||||
\(411\) | −12.8203 | + | 12.6524i | −0.632379 | + | 0.624095i | ||||
\(412\) | 2.88019 | + | 1.66288i | 0.141897 | + | 0.0819242i | ||||
\(413\) | −8.08807 | − | 0.368126i | −0.397988 | − | 0.0181143i | ||||
\(414\) | −13.6860 | − | 8.14408i | −0.672631 | − | 0.400260i | ||||
\(415\) | −1.24717 | − | 2.16016i | −0.0612211 | − | 0.106038i | ||||
\(416\) | −1.26614 | − | 3.37593i | −0.0620776 | − | 0.165518i | ||||
\(417\) | 17.2898 | + | 4.75518i | 0.846687 | + | 0.232862i | ||||
\(418\) | 15.4256 | + | 8.90595i | 0.754489 | + | 0.435604i | ||||
\(419\) | 19.9157 | + | 34.4951i | 0.972948 | + | 1.68520i | 0.686547 | + | 0.727085i | \(0.259125\pi\) |
0.286400 | + | 0.958110i | \(0.407541\pi\) | |||||||
\(420\) | −8.60555 | − | 9.55198i | −0.419908 | − | 0.466089i | ||||
\(421\) | −15.2089 | −0.741237 | −0.370618 | − | 0.928785i | \(-0.620854\pi\) | ||||
−0.370618 | + | 0.928785i | \(0.620854\pi\) | |||||||
\(422\) | 23.2149i | 1.13009i | ||||||||
\(423\) | 9.12874 | + | 5.43220i | 0.443855 | + | 0.264123i | ||||
\(424\) | 5.29180 | − | 9.16567i | 0.256993 | − | 0.445124i | ||||
\(425\) | 13.2876 | 0.644542 | ||||||||
\(426\) | 6.85721 | + | 6.94822i | 0.332233 | + | 0.336642i | ||||
\(427\) | 26.6092 | + | 17.0212i | 1.28771 | + | 0.823714i | ||||
\(428\) | − | 0.930416i | − | 0.0449734i | ||||||
\(429\) | −16.2593 | + | 1.47422i | −0.785009 | + | 0.0711762i | ||||
\(430\) | 17.8350 | + | 10.2970i | 0.860078 | + | 0.496566i | ||||
\(431\) | 7.33386i | 0.353259i | 0.984277 | + | 0.176630i | \(0.0565195\pi\) | ||||
−0.984277 | + | 0.176630i | \(0.943480\pi\) | |||||||
\(432\) | −1.24534 | − | 5.04471i | −0.0599166 | − | 0.242714i | ||||
\(433\) | −10.9441 | − | 6.31856i | −0.525938 | − | 0.303650i | 0.213423 | − | 0.976960i | \(-0.431539\pi\) |
−0.739361 | + | 0.673310i | \(0.764872\pi\) | |||||||
\(434\) | −18.2017 | − | 0.828446i | −0.873711 | − | 0.0397667i | ||||
\(435\) | −32.0021 | − | 8.80147i | −1.53439 | − | 0.421998i | ||||
\(436\) | −11.1927 | −0.536034 | ||||||||
\(437\) | −18.0848 | + | 31.3238i | −0.865113 | + | 1.49842i | ||||
\(438\) | −2.48163 | − | 2.51457i | −0.118577 | − | 0.120151i | ||||
\(439\) | −7.60721 | − | 4.39203i | −0.363072 | − | 0.209620i | 0.307355 | − | 0.951595i | \(-0.400556\pi\) |
−0.670428 | + | 0.741975i | \(0.733889\pi\) | |||||||
\(440\) | 3.66724 | + | 6.35185i | 0.174829 | + | 0.302813i | ||||
\(441\) | −16.9964 | − | 12.3338i | −0.809351 | − | 0.587325i | ||||
\(442\) | 16.4599 | + | 2.73716i | 0.782916 | + | 0.130193i | ||||
\(443\) | −24.2732 | + | 14.0141i | −1.15325 | + | 0.665831i | −0.949678 | − | 0.313229i | \(-0.898589\pi\) |
−0.203575 | + | 0.979059i | \(0.565256\pi\) | |||||||
\(444\) | −1.66616 | + | 0.434694i | −0.0790724 | + | 0.0206297i | ||||
\(445\) | −40.6667 | −1.92779 | ||||||||
\(446\) | −9.81944 | −0.464964 | ||||||||
\(447\) | 8.22951 | + | 31.5433i | 0.389243 | + | 1.49195i | ||||
\(448\) | −1.42569 | + | 2.22877i | −0.0673574 | + | 0.105299i | ||||
\(449\) | 8.81604 | + | 5.08994i | 0.416055 | + | 0.240209i | 0.693388 | − | 0.720565i | \(-0.256117\pi\) |
−0.277333 | + | 0.960774i | \(0.589451\pi\) | |||||||
\(450\) | 4.40482 | − | 7.40224i | 0.207645 | − | 0.348945i | ||||
\(451\) | 5.02456 | − | 2.90093i | 0.236597 | − | 0.136600i | ||||
\(452\) | − | 2.25272i | − | 0.105959i | ||||||
\(453\) | −9.92917 | + | 36.1025i | −0.466513 | + | 1.69624i | ||||
\(454\) | − | 20.0199i | − | 0.939579i | ||||||
\(455\) | 5.58612 | − | 26.1740i | 0.261881 | − | 1.22705i | ||||
\(456\) | −11.4189 | + | 2.97913i | −0.534737 | + | 0.139511i | ||||
\(457\) | −1.61851 | + | 2.80333i | −0.0757105 | + | 0.131134i | −0.901395 | − | 0.432998i | \(-0.857456\pi\) |
0.825685 | + | 0.564132i | \(0.190789\pi\) | |||||||
\(458\) | −27.3051 | −1.27588 | ||||||||
\(459\) | 23.0999 | + | 6.68194i | 1.07821 | + | 0.311886i | ||||
\(460\) | −12.8983 | + | 7.44686i | −0.601388 | + | 0.347212i | ||||
\(461\) | 10.6827 | − | 18.5030i | 0.497545 | − | 0.861773i | −0.502451 | − | 0.864606i | \(-0.667568\pi\) |
0.999996 | + | 0.00283284i | \(0.000901722\pi\) | |||||||
\(462\) | 8.01874 | + | 8.90063i | 0.373066 | + | 0.414095i | ||||
\(463\) | 5.12785 | 0.238311 | 0.119156 | − | 0.992876i | \(-0.461981\pi\) | ||||
0.119156 | + | 0.992876i | \(0.461981\pi\) | |||||||
\(464\) | 6.83016i | 0.317082i | ||||||||
\(465\) | −8.44817 | − | 32.3814i | −0.391775 | − | 1.50165i | ||||
\(466\) | 23.3164 | 1.08011 | ||||||||
\(467\) | −6.23453 | − | 10.7985i | −0.288500 | − | 0.499696i | 0.684952 | − | 0.728588i | \(-0.259823\pi\) |
−0.973452 | + | 0.228892i | \(0.926490\pi\) | |||||||
\(468\) | 6.98125 | − | 8.26209i | 0.322708 | − | 0.381915i | ||||
\(469\) | 14.1674 | − | 22.1479i | 0.654191 | − | 1.02269i | ||||
\(470\) | 8.60335 | − | 4.96714i | 0.396843 | − | 0.229117i | ||||
\(471\) | −8.55579 | − | 2.35308i | −0.394230 | − | 0.108424i | ||||
\(472\) | −2.65018 | + | 1.53008i | −0.121985 | + | 0.0704278i | ||||
\(473\) | −16.6188 | − | 9.59486i | −0.764133 | − | 0.441172i | ||||
\(474\) | −0.124770 | − | 0.478238i | −0.00573089 | − | 0.0219662i | ||||
\(475\) | −16.9418 | − | 9.78136i | −0.777344 | − | 0.448800i | ||||
\(476\) | −5.63360 | − | 10.8711i | −0.258215 | − | 0.498276i | ||||
\(477\) | 31.7481 | + | 0.418619i | 1.45364 | + | 0.0191673i | ||||
\(478\) | 6.31413 | − | 10.9364i | 0.288802 | − | 0.500219i | ||||
\(479\) | 0.300985 | 0.0137524 | 0.00687619 | − | 0.999976i | \(-0.497811\pi\) | ||||
0.00687619 | + | 0.999976i | \(0.497811\pi\) | |||||||
\(480\) | −4.68542 | − | 1.28862i | −0.213859 | − | 0.0588172i | ||||
\(481\) | −2.76820 | − | 2.27719i | −0.126219 | − | 0.103831i | ||||
\(482\) | −10.6208 | −0.483762 | ||||||||
\(483\) | −18.0740 | + | 16.2832i | −0.822394 | + | 0.740911i | ||||
\(484\) | 2.08282 | + | 3.60756i | 0.0946738 | + | 0.163980i | ||||
\(485\) | − | 22.8942i | − | 1.03957i | ||||||
\(486\) | 11.3800 | − | 10.6534i | 0.516207 | − | 0.483250i | ||||
\(487\) | −15.3957 | − | 26.6662i | −0.697646 | − | 1.20836i | −0.969280 | − | 0.245958i | \(-0.920897\pi\) |
0.271634 | − | 0.962401i | \(-0.412436\pi\) | |||||||
\(488\) | 11.9390 | 0.540451 | ||||||||
\(489\) | 29.2170 | − | 7.62260i | 1.32124 | − | 0.344706i | ||||
\(490\) | −17.8296 | + | 8.23388i | −0.805458 | + | 0.371969i | ||||
\(491\) | −3.83785 | + | 2.21578i | −0.173200 | + | 0.0999968i | −0.584094 | − | 0.811686i | \(-0.698550\pi\) |
0.410894 | + | 0.911683i | \(0.365217\pi\) | |||||||
\(492\) | −1.01935 | + | 3.70635i | −0.0459557 | + | 0.167095i | ||||
\(493\) | −27.3741 | − | 15.8044i | −1.23287 | − | 0.711795i | ||||
\(494\) | −18.9716 | − | 15.6065i | −0.853574 | − | 0.702169i | ||||
\(495\) | −11.2520 | + | 18.9089i | −0.505741 | + | 0.849890i | ||||
\(496\) | −5.96408 | + | 3.44336i | −0.267795 | + | 0.154612i | ||||
\(497\) | 13.2397 | − | 6.86106i | 0.593883 | − | 0.307761i | ||||
\(498\) | −1.48478 | − | 0.408354i | −0.0665344 | − | 0.0182988i | ||||
\(499\) | −6.28345 | − | 10.8833i | −0.281286 | − | 0.487201i | 0.690416 | − | 0.723413i | \(-0.257428\pi\) |
−0.971702 | + | 0.236211i | \(0.924094\pi\) | |||||||
\(500\) | 2.98621 | + | 5.17227i | 0.133547 | + | 0.231311i | ||||
\(501\) | 4.75482 | + | 4.81793i | 0.212430 | + | 0.215249i | ||||
\(502\) | 18.5341 | − | 10.7007i | 0.827219 | − | 0.477595i | ||||
\(503\) | −2.69186 | + | 4.66244i | −0.120024 | + | 0.207888i | −0.919777 | − | 0.392441i | \(-0.871631\pi\) |
0.799753 | + | 0.600329i | \(0.204964\pi\) | |||||||
\(504\) | −7.92360 | − | 0.465397i | −0.352945 | − | 0.0207304i | ||||
\(505\) | −6.87768 | − | 11.9125i | −0.306053 | − | 0.530099i | ||||
\(506\) | 12.0188 | − | 6.93906i | 0.534301 | − | 0.308479i | ||||
\(507\) | 22.4544 | + | 1.67286i | 0.997236 | + | 0.0742942i | ||||
\(508\) | 9.32949 | − | 16.1591i | 0.413929 | − | 0.716946i | ||||
\(509\) | −16.1821 | + | 28.0282i | −0.717258 | + | 1.24233i | 0.244824 | + | 0.969568i | \(0.421270\pi\) |
−0.962082 | + | 0.272760i | \(0.912063\pi\) | |||||||
\(510\) | 16.0062 | − | 15.7966i | 0.708768 | − | 0.699484i | ||||
\(511\) | −4.79147 | + | 2.48303i | −0.211962 | + | 0.109843i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −24.5339 | − | 25.5241i | −1.08320 | − | 1.12692i | ||||
\(514\) | −15.0139 | + | 8.66830i | −0.662236 | + | 0.382342i | ||||
\(515\) | 8.08058 | + | 4.66533i | 0.356073 | + | 0.205579i | ||||
\(516\) | 12.3022 | − | 3.20958i | 0.541573 | − | 0.141294i | ||||
\(517\) | −8.01668 | + | 4.62843i | −0.352573 | + | 0.203558i | ||||
\(518\) | −0.119593 | + | 2.62757i | −0.00525462 | + | 0.115449i | ||||
\(519\) | −11.1976 | + | 2.92140i | −0.491519 | + | 0.128235i | ||||
\(520\) | −3.55224 | − | 9.47141i | −0.155776 | − | 0.415349i | ||||
\(521\) | 20.4045 | − | 35.3416i | 0.893936 | − | 1.54834i | 0.0588209 | − | 0.998269i | \(-0.481266\pi\) |
0.835115 | − | 0.550075i | \(-0.185401\pi\) | |||||||
\(522\) | −17.8788 | + | 10.0104i | −0.782534 | + | 0.438143i | ||||
\(523\) | 0.576762 | + | 0.332994i | 0.0252200 | + | 0.0145608i | 0.512557 | − | 0.858653i | \(-0.328698\pi\) |
−0.487337 | + | 0.873214i | \(0.662032\pi\) | |||||||
\(524\) | 7.60360 | − | 13.1698i | 0.332165 | − | 0.575326i | ||||
\(525\) | −8.80695 | − | 9.77552i | −0.384367 | − | 0.426639i | ||||
\(526\) | −11.4680 | + | 19.8632i | −0.500029 | + | 0.866076i | ||||
\(527\) | − | 31.8706i | − | 1.38831i | ||||||
\(528\) | 4.36592 | + | 1.20075i | 0.190002 | + | 0.0522559i | ||||
\(529\) | 2.59073 | + | 4.48728i | 0.112641 | + | 0.195099i | ||||
\(530\) | 14.8465 | − | 25.7149i | 0.644892 | − | 1.11699i | ||||
\(531\) | −7.88934 | − | 4.69468i | −0.342368 | − | 0.203732i | ||||
\(532\) | −0.819620 | + | 18.0078i | −0.0355350 | + | 0.780738i | ||||
\(533\) | −7.49224 | + | 2.80996i | −0.324525 | + | 0.121713i | ||||
\(534\) | −17.8693 | + | 17.6352i | −0.773280 | + | 0.763151i | ||||
\(535\) | − | 2.61035i | − | 0.112855i | ||||||
\(536\) | − | 9.93727i | − | 0.429225i | ||||||
\(537\) | 3.55891 | + | 13.6411i | 0.153578 | + | 0.588657i | ||||
\(538\) | 32.1180i | 1.38470i | ||||||||
\(539\) | 16.6138 | − | 7.67242i | 0.715606 | − | 0.330474i | ||||
\(540\) | −3.49390 | − | 14.1533i | −0.150353 | − | 0.609061i | ||||
\(541\) | −8.21186 | − | 14.2234i | −0.353056 | − | 0.611510i | 0.633728 | − | 0.773556i | \(-0.281524\pi\) |
−0.986783 | + | 0.162046i | \(0.948191\pi\) | |||||||
\(542\) | −4.63626 | − | 8.03023i | −0.199144 | − | 0.344928i | ||||
\(543\) | −6.23418 | − | 23.8953i | −0.267534 | − | 1.02545i | ||||
\(544\) | −4.00782 | − | 2.31392i | −0.171834 | − | 0.0992084i | ||||
\(545\) | −31.4019 | −1.34511 | ||||||||
\(546\) | −8.89583 | − | 13.9235i | −0.380706 | − | 0.595871i | ||||
\(547\) | −1.77847 | −0.0760420 | −0.0380210 | − | 0.999277i | \(-0.512105\pi\) | ||||
−0.0380210 | + | 0.999277i | \(0.512105\pi\) | |||||||
\(548\) | 9.00615 | + | 5.19970i | 0.384723 | + | 0.222120i | ||||
\(549\) | 17.4979 | + | 31.2517i | 0.746793 | + | 1.33379i | ||||
\(550\) | 3.75307 | + | 6.50051i | 0.160031 | + | 0.277182i | ||||
\(551\) | 23.2682 | + | 40.3017i | 0.991258 | + | 1.71691i | ||||
\(552\) | −2.43829 | + | 8.86562i | −0.103780 | + | 0.377346i | ||||
\(553\) | −0.754193 | − | 0.0343269i | −0.0320716 | − | 0.00145973i | ||||
\(554\) | − | 9.85253i | − | 0.418594i | ||||||
\(555\) | −4.67453 | + | 1.21956i | −0.198423 | + | 0.0517676i | ||||
\(556\) | − | 10.3529i | − | 0.439062i | ||||||
\(557\) | − | 27.1059i | − | 1.14852i | −0.818674 | − | 0.574258i | \(-0.805291\pi\) | ||
0.818674 | − | 0.574258i | \(-0.194709\pi\) | |||||||
\(558\) | −17.7545 | − | 10.5651i | −0.751608 | − | 0.447256i | ||||
\(559\) | 20.4392 | + | 16.8137i | 0.864485 | + | 0.711144i | ||||
\(560\) | −3.99987 | + | 6.25297i | −0.169025 | + | 0.264236i | ||||
\(561\) | −14.9148 | + | 14.7194i | −0.629702 | + | 0.621454i | ||||
\(562\) | 4.35321 | − | 7.53998i | 0.183629 | − | 0.318055i | ||||
\(563\) | −13.5973 | − | 23.5513i | −0.573060 | − | 0.992568i | −0.996249 | − | 0.0865273i | \(-0.972423\pi\) |
0.423190 | − | 0.906041i | \(-0.360910\pi\) | |||||||
\(564\) | 1.62637 | − | 5.91347i | 0.0684825 | − | 0.249002i | ||||
\(565\) | − | 6.32016i | − | 0.265891i | ||||||
\(566\) | −6.39288 | + | 11.0728i | −0.268713 | + | 0.465424i | ||||
\(567\) | −10.3947 | − | 21.4231i | −0.436537 | − | 0.899686i | ||||
\(568\) | 2.81808 | − | 4.88106i | 0.118244 | − | 0.204805i | ||||
\(569\) | 15.3433 | + | 8.85846i | 0.643224 | + | 0.371366i | 0.785856 | − | 0.618410i | \(-0.212223\pi\) |
−0.142631 | + | 0.989776i | \(0.545556\pi\) | |||||||
\(570\) | −32.0364 | + | 8.35817i | −1.34186 | + | 0.350085i | ||||
\(571\) | −8.22208 | + | 14.2411i | −0.344083 | + | 0.595970i | −0.985187 | − | 0.171485i | \(-0.945144\pi\) |
0.641103 | + | 0.767454i | \(0.278477\pi\) | |||||||
\(572\) | 3.31002 | + | 8.82555i | 0.138399 | + | 0.369015i | ||||
\(573\) | −0.800750 | − | 3.06923i | −0.0334518 | − | 0.128219i | ||||
\(574\) | 4.94634 | + | 3.16405i | 0.206456 | + | 0.132065i | ||||
\(575\) | −13.2002 | + | 7.62113i | −0.550486 | + | 0.317823i | ||||
\(576\) | −2.61763 | + | 1.46562i | −0.109068 | + | 0.0610673i | ||||
\(577\) | 5.20953 | + | 3.00772i | 0.216876 | + | 0.125213i | 0.604503 | − | 0.796603i | \(-0.293372\pi\) |
−0.387627 | + | 0.921816i | \(0.626705\pi\) | |||||||
\(578\) | 3.82512 | − | 2.20843i | 0.159104 | − | 0.0918587i | ||||
\(579\) | −2.79302 | + | 0.728687i | −0.116074 | + | 0.0302832i | ||||
\(580\) | 19.1625i | 0.795679i | ||||||||
\(581\) | −1.26753 | + | 1.98152i | −0.0525860 | + | 0.0822074i | ||||
\(582\) | −9.92812 | − | 10.0599i | −0.411534 | − | 0.416996i | ||||
\(583\) | −13.8341 | + | 23.9614i | −0.572952 | + | 0.992381i | ||||
\(584\) | −1.01987 | + | 1.76646i | −0.0422024 | + | 0.0730967i | ||||
\(585\) | 19.5864 | − | 23.1799i | 0.809797 | − | 0.958370i | ||||
\(586\) | −11.1244 | + | 6.42265i | −0.459543 | + | 0.265317i | ||||
\(587\) | −2.25980 | − | 3.91408i | −0.0932718 | − | 0.161551i | 0.815614 | − | 0.578596i | \(-0.196399\pi\) |
−0.908886 | + | 0.417045i | \(0.863066\pi\) | |||||||
\(588\) | −4.26382 | + | 11.3499i | −0.175837 | + | 0.468061i | ||||
\(589\) | −23.4609 | + | 40.6355i | −0.966689 | + | 1.67435i | ||||
\(590\) | −7.43527 | + | 4.29276i | −0.306105 | + | 0.176730i | ||||
\(591\) | −10.4418 | + | 10.3050i | −0.429519 | + | 0.423892i | ||||
\(592\) | 0.497079 | + | 0.860965i | 0.0204298 | + | 0.0353855i | ||||
\(593\) | 1.70266 | + | 2.94909i | 0.0699198 | + | 0.121105i | 0.898866 | − | 0.438224i | \(-0.144392\pi\) |
−0.828946 | + | 0.559329i | \(0.811059\pi\) | |||||||
\(594\) | 3.25565 | + | 13.1882i | 0.133581 | + | 0.541118i | ||||
\(595\) | −15.8055 | − | 30.4996i | −0.647960 | − | 1.25036i | ||||
\(596\) | 16.2996 | − | 9.41056i | 0.667657 | − | 0.385472i | ||||
\(597\) | 22.0942 | − | 21.8048i | 0.904257 | − | 0.892413i | ||||
\(598\) | −17.9215 | + | 6.72146i | −0.732866 | + | 0.274861i | ||||
\(599\) | 7.92694 | + | 4.57662i | 0.323886 | + | 0.186996i | 0.653123 | − | 0.757252i | \(-0.273458\pi\) |
−0.329237 | + | 0.944247i | \(0.606792\pi\) | |||||||
\(600\) | −4.79507 | − | 1.31878i | −0.195758 | − | 0.0538388i | ||||
\(601\) | 27.4175 | − | 15.8295i | 1.11838 | − | 0.645699i | 0.177396 | − | 0.984140i | \(-0.443233\pi\) |
0.940988 | + | 0.338440i | \(0.109899\pi\) | |||||||
\(602\) | 0.883021 | − | 19.4008i | 0.0359893 | − | 0.790718i | ||||
\(603\) | 26.0121 | − | 14.5642i | 1.05929 | − | 0.593101i | ||||
\(604\) | 21.6177 | 0.879612 | ||||||||
\(605\) | 5.84351 | + | 10.1213i | 0.237573 | + | 0.411488i | ||||
\(606\) | −8.18800 | − | 2.25192i | −0.332615 | − | 0.0914782i | ||||
\(607\) | − | 24.7598i | − | 1.00497i | −0.864586 | − | 0.502485i | \(-0.832419\pi\) | ||
0.864586 | − | 0.502485i | \(-0.167581\pi\) | |||||||
\(608\) | 3.40668 | + | 5.90055i | 0.138159 | + | 0.239299i | ||||
\(609\) | 6.51628 | + | 30.6139i | 0.264053 | + | 1.24054i | ||||
\(610\) | 33.4956 | 1.35620 | ||||||||
\(611\) | 11.9539 | − | 4.48329i | 0.483602 | − | 0.181375i | ||||
\(612\) | 0.183047 | − | 13.8823i | 0.00739925 | − | 0.561159i | ||||
\(613\) | −9.83195 | −0.397109 | −0.198554 | − | 0.980090i | \(-0.563625\pi\) | ||||
−0.198554 | + | 0.980090i | \(0.563625\pi\) | |||||||
\(614\) | −8.94575 | + | 15.4945i | −0.361021 | + | 0.625307i | ||||
\(615\) | −2.85985 | + | 10.3984i | −0.115320 | + | 0.419305i | ||||
\(616\) | 3.72712 | − | 5.82658i | 0.150170 | − | 0.234760i | ||||
\(617\) | 30.7175 | + | 17.7348i | 1.23664 | + | 0.713975i | 0.968406 | − | 0.249379i | \(-0.0802265\pi\) |
0.268234 | + | 0.963354i | \(0.413560\pi\) | |||||||
\(618\) | 5.57381 | − | 1.45418i | 0.224211 | − | 0.0584958i | ||||
\(619\) | −3.76659 | − | 2.17464i | −0.151392 | − | 0.0874062i | 0.422390 | − | 0.906414i | \(-0.361191\pi\) |
−0.573782 | + | 0.819008i | \(0.694524\pi\) | |||||||
\(620\) | −16.7327 | + | 9.66060i | −0.672000 | + | 0.387979i | ||||
\(621\) | −26.7805 | + | 6.61105i | −1.07466 | + | 0.265292i | ||||
\(622\) | 21.0005 | − | 12.1246i | 0.842042 | − | 0.486153i | ||||
\(623\) | 17.6451 | + | 34.0497i | 0.706938 | + | 1.36417i | ||||
\(624\) | −5.66819 | − | 2.62138i | −0.226909 | − | 0.104939i | ||||
\(625\) | 15.5561 | + | 26.9439i | 0.622244 | + | 1.07776i | ||||
\(626\) | 28.5814 | 1.14234 | ||||||||
\(627\) | 29.8519 | − | 7.78823i | 1.19217 | − | 0.311032i | ||||
\(628\) | 5.12310i | 0.204434i | ||||||||
\(629\) | −4.60080 | −0.183446 | ||||||||
\(630\) | −22.2302 | − | 1.30570i | −0.885673 | − | 0.0520205i | ||||
\(631\) | −13.5641 | + | 23.4938i | −0.539979 | + | 0.935272i | 0.458925 | + | 0.888475i | \(0.348235\pi\) |
−0.998904 | + | 0.0467969i | \(0.985099\pi\) | |||||||
\(632\) | −0.247123 | + | 0.142677i | −0.00983004 | + | 0.00567537i | ||||
\(633\) | 28.2443 | + | 28.6192i | 1.12261 | + | 1.13751i | ||||
\(634\) | 5.43761 | 0.215955 | ||||||||
\(635\) | 26.1745 | − | 45.3356i | 1.03871 | − | 1.79909i | ||||
\(636\) | −4.62767 | − | 17.7376i | −0.183499 | − | 0.703342i | ||||
\(637\) | −24.3389 | + | 6.67962i | −0.964343 | + | 0.264656i | ||||
\(638\) | − | 17.8558i | − | 0.706918i | ||||||
\(639\) | 16.9070 | + | 0.222930i | 0.668832 | + | 0.00881899i | ||||
\(640\) | 2.80557i | 0.110900i | ||||||||
\(641\) | −9.90421 | + | 5.71820i | −0.391193 | + | 0.225855i | −0.682677 | − | 0.730720i | \(-0.739184\pi\) |
0.291484 | + | 0.956576i | \(0.405851\pi\) | |||||||
\(642\) | −1.13199 | − | 1.14701i | −0.0446759 | − | 0.0452689i | ||||
\(643\) | −24.5334 | − | 14.1644i | −0.967503 | − | 0.558588i | −0.0690290 | − | 0.997615i | \(-0.521990\pi\) |
−0.898474 | + | 0.439026i | \(0.855323\pi\) | |||||||
\(644\) | 11.8317 | + | 7.56843i | 0.466234 | + | 0.298238i | ||||
\(645\) | 34.5146 | − | 9.00471i | 1.35901 | − | 0.354560i | ||||
\(646\) | −31.5311 | −1.24058 | ||||||||
\(647\) | −30.9650 | −1.21736 | −0.608680 | − | 0.793416i | \(-0.708301\pi\) | ||||
−0.608680 | + | 0.793416i | \(0.708301\pi\) | |||||||
\(648\) | −7.67287 | − | 4.70394i | −0.301419 | − | 0.184788i | ||||
\(649\) | 6.92826 | − | 4.00003i | 0.271958 | − | 0.157015i | ||||
\(650\) | −3.63538 | − | 9.69306i | −0.142591 | − | 0.380193i | ||||
\(651\) | −23.4469 | + | 21.1237i | −0.918955 | + | 0.827904i | ||||
\(652\) | −8.71655 | − | 15.0975i | −0.341366 | − | 0.591264i | ||||
\(653\) | 30.8381 | + | 17.8044i | 1.20679 | + | 0.696740i | 0.962056 | − | 0.272851i | \(-0.0879665\pi\) |
0.244733 | + | 0.969591i | \(0.421300\pi\) | |||||||
\(654\) | −13.7983 | + | 13.6175i | −0.539556 | + | 0.532488i | ||||
\(655\) | 21.3324 | − | 36.9489i | 0.833527 | − | 1.44371i | ||||
\(656\) | 2.21931 | 0.0866497 | ||||||||
\(657\) | −6.11867 | − | 0.0806787i | −0.238712 | − | 0.00314758i | ||||
\(658\) | −7.89189 | − | 5.04824i | −0.307658 | − | 0.196801i | ||||
\(659\) | 15.6644 | + | 9.04383i | 0.610197 | + | 0.352298i | 0.773043 | − | 0.634354i | \(-0.218734\pi\) |
−0.162845 | + | 0.986652i | \(0.552067\pi\) | |||||||
\(660\) | 12.2489 | + | 3.36878i | 0.476788 | + | 0.131130i | ||||
\(661\) | − | 20.0039i | − | 0.778060i | −0.921225 | − | 0.389030i | \(-0.872810\pi\) | ||
0.921225 | − | 0.389030i | \(-0.127190\pi\) | |||||||
\(662\) | −22.4670 | − | 12.9713i | −0.873205 | − | 0.504145i | ||||
\(663\) | 23.6217 | − | 16.6515i | 0.917392 | − | 0.646689i | ||||
\(664\) | 0.889066i | 0.0345024i | ||||||||
\(665\) | −2.29950 | + | 50.5222i | −0.0891709 | + | 1.95917i | ||||
\(666\) | −1.52516 | + | 2.56301i | −0.0590988 | + | 0.0993146i | ||||
\(667\) | 36.2587 | 1.40394 | ||||||||
\(668\) | 1.95407 | − | 3.38455i | 0.0756053 | − | 0.130952i | ||||
\(669\) | −12.1053 | + | 11.9468i | −0.468019 | + | 0.461889i | ||||
\(670\) | − | 27.8797i | − | 1.07709i | ||||||
\(671\) | −31.2115 | −1.20491 | ||||||||
\(672\) | 0.954045 | + | 4.48216i | 0.0368031 | + | 0.172903i | ||||
\(673\) | 13.8523 | + | 23.9928i | 0.533966 | + | 0.924856i | 0.999213 | + | 0.0396751i | \(0.0126323\pi\) |
−0.465247 | + | 0.885181i | \(0.654034\pi\) | |||||||
\(674\) | −12.7525 | − | 7.36265i | −0.491207 | − | 0.283599i | ||||
\(675\) | −3.57566 | − | 14.4845i | −0.137627 | − | 0.557510i | ||||
\(676\) | −2.50658 | − | 12.7561i | −0.0964070 | − | 0.490618i | ||||
\(677\) | 13.8948 | + | 24.0666i | 0.534022 | + | 0.924953i | 0.999210 | + | 0.0397412i | \(0.0126534\pi\) |
−0.465188 | + | 0.885212i | \(0.654013\pi\) | |||||||
\(678\) | −2.74076 | − | 2.77713i | −0.105258 | − | 0.106655i | ||||
\(679\) | −19.1690 | + | 9.93371i | −0.735638 | + | 0.381221i | ||||
\(680\) | −11.2442 | − | 6.49186i | −0.431197 | − | 0.248952i | ||||
\(681\) | −24.3571 | − | 24.6803i | −0.933365 | − | 0.945753i | ||||
\(682\) | 15.5917 | − | 9.00185i | 0.597035 | − | 0.344699i | ||||
\(683\) | 9.59167 | − | 5.53775i | 0.367015 | − | 0.211896i | −0.305139 | − | 0.952308i | \(-0.598703\pi\) |
0.672154 | + | 0.740412i | \(0.265369\pi\) | |||||||
\(684\) | −10.4525 | + | 17.5654i | −0.399663 | + | 0.671628i | ||||
\(685\) | 25.2674 | + | 14.5881i | 0.965417 | + | 0.557384i | ||||
\(686\) | 14.6303 | + | 11.3558i | 0.558588 | + | 0.433566i | ||||
\(687\) | −33.6615 | + | 33.2206i | −1.28427 | + | 1.26744i | ||||
\(688\) | −3.67020 | − | 6.35698i | −0.139925 | − | 0.242358i | ||||
\(689\) | 24.2425 | − | 29.4698i | 0.923565 | − | 1.12271i | ||||
\(690\) | −6.84079 | + | 24.8731i | −0.260425 | + | 0.946903i | ||||
\(691\) | −19.1106 | − | 11.0335i | −0.727001 | − | 0.419734i | 0.0903230 | − | 0.995913i | \(-0.471210\pi\) |
−0.817324 | + | 0.576178i | \(0.804543\pi\) | |||||||
\(692\) | 3.34066 | + | 5.78620i | 0.126993 | + | 0.219958i | ||||
\(693\) | 20.7143 | + | 1.21667i | 0.786873 | + | 0.0462174i | ||||
\(694\) | 31.6862 | 1.20279 | ||||||||
\(695\) | − | 29.0459i | − | 1.10177i | ||||||
\(696\) | 8.30987 | + | 8.42017i | 0.314985 | + | 0.319166i | ||||
\(697\) | −5.13531 | + | 8.89462i | −0.194514 | + | 0.336908i | ||||
\(698\) | 7.36163 | 0.278642 | ||||||||
\(699\) | 28.7443 | − | 28.3678i | 1.08721 | − | 1.07297i | ||||
\(700\) | −4.09347 | + | 6.39931i | −0.154719 | + | 0.241871i | ||||
\(701\) | − | 38.0341i | − | 1.43653i | −0.695770 | − | 0.718264i | \(-0.744937\pi\) | ||
0.695770 | − | 0.718264i | \(-0.255063\pi\) | |||||||
\(702\) | −1.44560 | − | 18.6791i | −0.0545607 | − | 0.704999i | ||||
\(703\) | 5.86607 | + | 3.38678i | 0.221243 | + | 0.127735i | ||||
\(704\) | − | 2.61426i | − | 0.0985286i | ||||||
\(705\) | 4.56289 | − | 16.5907i | 0.171848 | − | 0.624841i | ||||
\(706\) | 11.3375 | + | 6.54568i | 0.426691 | + | 0.246350i | ||||
\(707\) | −6.98996 | + | 10.9274i | −0.262884 | + | 0.410966i | ||||
\(708\) | −1.40556 | + | 5.11060i | −0.0528241 | + | 0.192068i | ||||
\(709\) | 33.8438 | 1.27103 | 0.635516 | − | 0.772088i | \(-0.280788\pi\) | ||||
0.635516 | + | 0.772088i | \(0.280788\pi\) | |||||||
\(710\) | 7.90633 | − | 13.6942i | 0.296719 | − | 0.513933i | ||||
\(711\) | −0.735662 | − | 0.437767i | −0.0275895 | − | 0.0164176i | ||||
\(712\) | 12.5530 | + | 7.24749i | 0.470444 | + | 0.271611i | ||||
\(713\) | 18.2795 | + | 31.6611i | 0.684573 | + | 1.18572i | ||||
\(714\) | −20.1713 | − | 6.54772i | −0.754892 | − | 0.245042i | ||||
\(715\) | 9.28649 | + | 24.7607i | 0.347295 | + | 0.925998i | ||||
\(716\) | 7.04886 | − | 4.06966i | 0.263428 | − | 0.152090i | ||||
\(717\) | −5.52169 | − | 21.1644i | −0.206211 | − | 0.790397i | ||||
\(718\) | −5.47303 | −0.204252 | ||||||||
\(719\) | −4.19161 | −0.156321 | −0.0781603 | − | 0.996941i | \(-0.524905\pi\) | ||||
−0.0781603 | + | 0.996941i | \(0.524905\pi\) | |||||||
\(720\) | −7.34394 | + | 4.11189i | −0.273692 | + | 0.153241i | ||||
\(721\) | 0.400075 | − | 8.79003i | 0.0148996 | − | 0.327358i | ||||
\(722\) | 23.7481 | + | 13.7110i | 0.883812 | + | 0.510269i | ||||
\(723\) | −13.0932 | + | 12.9217i | −0.486941 | + | 0.480563i | ||||
\(724\) | −12.3476 | + | 7.12887i | −0.458894 | + | 0.264942i | ||||
\(725\) | 19.6109i | 0.728332i | ||||||||
\(726\) | 6.95680 | + | 1.91331i | 0.258191 | + | 0.0710097i | ||||
\(727\) | − | 5.71419i | − | 0.211927i | −0.994370 | − | 0.105964i | \(-0.966207\pi\) | ||
0.994370 | − | 0.105964i | \(-0.0337927\pi\) | |||||||
\(728\) | −6.38897 | + | 7.08386i | −0.236791 | + | 0.262545i | ||||
\(729\) | 1.06770 | − | 26.9789i | 0.0395444 | − | 0.999218i | ||||
\(730\) | −2.86131 | + | 4.95593i | −0.105902 | + | 0.183427i | ||||
\(731\) | 33.9702 | 1.25643 | ||||||||
\(732\) | 14.7183 | − | 14.5255i | 0.544002 | − | 0.536877i | ||||
\(733\) | −33.9503 | + | 19.6012i | −1.25398 | + | 0.723988i | −0.971898 | − | 0.235401i | \(-0.924360\pi\) |
−0.282086 | + | 0.959389i | \(0.591026\pi\) | |||||||
\(734\) | −2.90771 | + | 5.03630i | −0.107326 | + | 0.185893i | ||||
\(735\) | −11.9624 | + | 31.8429i | −0.441241 | + | 1.17454i | ||||
\(736\) | 5.30862 | 0.195678 | ||||||||
\(737\) | 25.9786i | 0.956934i | ||||||||
\(738\) | 3.25266 | + | 5.80934i | 0.119732 | + | 0.213845i | ||||
\(739\) | −31.0684 | −1.14287 | −0.571434 | − | 0.820648i | \(-0.693613\pi\) | ||||
−0.571434 | + | 0.820648i | \(0.693613\pi\) | |||||||
\(740\) | 1.39459 | + | 2.41550i | 0.0512661 | + | 0.0887955i | ||||
\(741\) | −42.3756 | + | 3.84217i | −1.55671 | + | 0.141146i | ||||
\(742\) | −27.9726 | − | 1.27316i | −1.02691 | − | 0.0467394i | ||||
\(743\) | −40.3395 | + | 23.2900i | −1.47991 | + | 0.854427i | −0.999741 | − | 0.0227483i | \(-0.992758\pi\) |
−0.480170 | + | 0.877175i | \(0.659425\pi\) | |||||||
\(744\) | −3.16312 | + | 11.5011i | −0.115966 | + | 0.421651i | ||||
\(745\) | 45.7296 | − | 26.4020i | 1.67540 | − | 0.967295i | ||||
\(746\) | 10.9224 | + | 6.30605i | 0.399898 | + | 0.230881i | ||||
\(747\) | −2.32724 | + | 1.30303i | −0.0851493 | + | 0.0476753i | ||||
\(748\) | 10.4775 | + | 6.04918i | 0.383095 | + | 0.221180i | ||||
\(749\) | −2.18561 | + | 1.13262i | −0.0798604 | + | 0.0413851i | ||||
\(750\) | 9.97418 | + | 2.74318i | 0.364206 | + | 0.100167i | ||||
\(751\) | −17.6612 | + | 30.5901i | −0.644465 | + | 1.11625i | 0.339959 | + | 0.940440i | \(0.389587\pi\) |
−0.984425 | + | 0.175807i | \(0.943747\pi\) | |||||||
\(752\) | −3.54092 | −0.129124 | ||||||||
\(753\) | 9.82981 | − | 35.7412i | 0.358218 | − | 1.30248i | ||||
\(754\) | −4.03973 | + | 24.2929i | −0.147118 | + | 0.884695i | ||||
\(755\) | 60.6500 | 2.20728 | ||||||||
\(756\) | −10.3344 | + | 9.06646i | −0.375858 | + | 0.329744i | ||||
\(757\) | −5.80540 | − | 10.0552i | −0.211001 | − | 0.365464i | 0.741027 | − | 0.671475i | \(-0.234339\pi\) |
−0.952028 | + | 0.306011i | \(0.901006\pi\) | |||||||
\(758\) | − | 11.0059i | − | 0.399753i | ||||||
\(759\) | 6.37432 | − | 23.1770i | 0.231373 | − | 0.841272i | ||||
\(760\) | 9.55769 | + | 16.5544i | 0.346694 | + | 0.600491i | ||||
\(761\) | −35.7705 | −1.29668 | −0.648341 | − | 0.761350i | \(-0.724537\pi\) | ||||
−0.648341 | + | 0.761350i | \(0.724537\pi\) | |||||||
\(762\) | −8.15861 | − | 31.2715i | −0.295555 | − | 1.13285i | ||||
\(763\) | 13.6252 | + | 26.2924i | 0.493265 | + | 0.951850i | ||||
\(764\) | −1.58599 | + | 0.915669i | −0.0573790 | + | 0.0331278i | ||||
\(765\) | 0.513552 | − | 38.9478i | 0.0185675 | − | 1.40816i | ||||
\(766\) | 19.2251 | + | 11.0996i | 0.694631 | + | 0.401045i | ||||
\(767\) | −10.3309 | + | 3.87460i | −0.373027 | + | 0.139904i | ||||
\(768\) | 1.21664 | + | 1.23279i | 0.0439019 | + | 0.0444846i | ||||
\(769\) | 42.9221 | − | 24.7811i | 1.54781 | − | 0.893629i | 0.549503 | − | 0.835492i | \(-0.314817\pi\) |
0.998309 | − | 0.0581373i | \(-0.0185161\pi\) | |||||||
\(770\) | 10.4567 | − | 16.3469i | 0.376833 | − | 0.589101i | ||||
\(771\) | −7.96283 | + | 28.9528i | −0.286774 | + | 1.04271i | ||||
\(772\) | 0.833264 | + | 1.44326i | 0.0299898 | + | 0.0519439i | ||||
\(773\) | 14.5885 | + | 25.2680i | 0.524711 | + | 0.908826i | 0.999586 | + | 0.0287728i | \(0.00915992\pi\) |
−0.474875 | + | 0.880053i | \(0.657507\pi\) | |||||||
\(774\) | 11.2611 | − | 18.9241i | 0.404772 | − | 0.680213i | ||||
\(775\) | −17.1242 | + | 9.88669i | −0.615121 | + | 0.355140i | ||||
\(776\) | −4.08013 | + | 7.06699i | −0.146468 | + | 0.253690i | ||||
\(777\) | 3.04939 | + | 3.38475i | 0.109396 | + | 0.121427i | ||||
\(778\) | 5.08332 | + | 8.80457i | 0.182246 | + | 0.315659i | ||||
\(779\) | 13.0952 | − | 7.56050i | 0.469183 | − | 0.270883i | ||||
\(780\) | −15.9025 | − | 7.35446i | −0.569401 | − | 0.263332i | ||||
\(781\) | −7.36720 | + | 12.7604i | −0.263619 | + | 0.456602i | ||||
\(782\) | −12.2837 | + | 21.2760i | −0.439265 | + | 0.760829i | ||||
\(783\) | −9.86178 | + | 34.0929i | −0.352431 | + | 1.21838i | ||||
\(784\) | 6.97106 | + | 0.635888i | 0.248966 | + | 0.0227103i | ||||
\(785\) | 14.3732i | 0.513002i | ||||||||
\(786\) | −6.64933 | − | 25.4865i | −0.237174 | − | 0.909074i | ||||
\(787\) | 25.8568 | − | 14.9284i | 0.921696 | − | 0.532141i | 0.0375201 | − | 0.999296i | \(-0.488054\pi\) |
0.884176 | + | 0.467155i | \(0.154721\pi\) | |||||||
\(788\) | 7.33528 | + | 4.23502i | 0.261308 | + | 0.150866i | ||||
\(789\) | 10.0287 | + | 38.4397i | 0.357033 | + | 1.36849i | ||||
\(790\) | −0.693322 | + | 0.400290i | −0.0246673 | + | 0.0142417i | ||||
\(791\) | −5.29179 | + | 2.74230i | −0.188154 | + | 0.0975049i | ||||
\(792\) | 6.84316 | − | 3.83150i | 0.243161 | − | 0.136146i | ||||
\(793\) | 42.4634 | + | 7.06136i | 1.50792 | + | 0.250756i | ||||
\(794\) | −13.5020 | + | 23.3862i | −0.479169 | + | 0.829945i | ||||
\(795\) | −12.9833 | − | 49.7641i | −0.460468 | − | 1.76495i | ||||
\(796\) | −15.5210 | − | 8.96106i | −0.550127 | − | 0.317616i | ||||
\(797\) | 4.28801 | − | 7.42705i | 0.151889 | − | 0.263080i | −0.780033 | − | 0.625739i | \(-0.784798\pi\) |
0.931922 | + | 0.362659i | \(0.118131\pi\) | |||||||
\(798\) | 20.8987 | + | 23.1971i | 0.739806 | + | 0.821168i | ||||
\(799\) | 8.19339 | − | 14.1914i | 0.289861 | − | 0.502054i | ||||
\(800\) | 2.87123i | 0.101513i | ||||||||
\(801\) | −0.573328 | + | 43.4811i | −0.0202575 | + | 1.53633i | ||||
\(802\) | −8.82607 | − | 15.2872i | −0.311659 | − | 0.539810i | ||||
\(803\) | 2.66620 | − | 4.61799i | 0.0940880 | − | 0.162965i | ||||
\(804\) | −12.0901 | − | 12.2506i | −0.426386 | − | 0.432045i | ||||
\(805\) | 33.1947 | + | 21.2338i | 1.16996 | + | 0.748392i | ||||
\(806\) | −23.2491 | + | 8.71956i | −0.818915 | + | 0.307133i | ||||
\(807\) | 39.0762 | + | 39.5948i | 1.37555 | + | 1.39380i | ||||
\(808\) | 4.90287i | 0.172482i | ||||||||
\(809\) | − | 8.06684i | − | 0.283615i | −0.989894 | − | 0.141807i | \(-0.954709\pi\) | ||
0.989894 | − | 0.141807i | \(-0.0452914\pi\) | |||||||
\(810\) | −21.5268 | − | 13.1972i | −0.756374 | − | 0.463704i | ||||
\(811\) | − | 13.5376i | − | 0.475370i | −0.971342 | − | 0.237685i | \(-0.923611\pi\) | ||
0.971342 | − | 0.237685i | \(-0.0763887\pi\) | |||||||
\(812\) | 16.0445 | − | 8.31454i | 0.563051 | − | 0.291783i | ||||
\(813\) | −15.4855 | − | 4.25893i | −0.543099 | − | 0.149367i | ||||
\(814\) | −1.29949 | − | 2.25079i | −0.0455472 | − | 0.0788900i | ||||
\(815\) | −24.4549 | − | 42.3571i | −0.856617 | − | 1.48370i | ||||
\(816\) | −7.75603 | + | 2.02352i | −0.271515 | + | 0.0708372i | ||||
\(817\) | −43.3124 | − | 25.0064i | −1.51531 | − | 0.874864i | ||||
\(818\) | 31.3317 | 1.09549 | ||||||||
\(819\) | −27.9067 | − | 6.34173i | −0.975138 | − | 0.221598i | ||||
\(820\) | 6.22644 | 0.217437 | ||||||||
\(821\) | −9.90847 | − | 5.72066i | −0.345808 | − | 0.199652i | 0.317029 | − | 0.948416i | \(-0.397315\pi\) |
−0.662837 | + | 0.748763i | \(0.730648\pi\) | |||||||
\(822\) | 17.4289 | − | 4.54712i | 0.607902 | − | 0.158599i | ||||
\(823\) | 19.0993 | + | 33.0810i | 0.665761 | + | 1.15313i | 0.979079 | + | 0.203483i | \(0.0652261\pi\) |
−0.313318 | + | 0.949648i | \(0.601441\pi\) | |||||||
\(824\) | −1.66288 | − | 2.88019i | −0.0579291 | − | 0.100336i | ||||
\(825\) | 12.5356 | + | 3.44762i | 0.436432 | + | 0.120031i | ||||
\(826\) | 6.82041 | + | 4.36284i | 0.237312 | + | 0.151803i | ||||
\(827\) | 15.6707i | 0.544923i | 0.962167 | + | 0.272461i | \(0.0878377\pi\) | ||||
−0.962167 | + | 0.272461i | \(0.912162\pi\) | |||||||
\(828\) | 7.78040 | + | 13.8960i | 0.270387 | + | 0.482919i | ||||
\(829\) | 35.5146i | 1.23347i | 0.787169 | + | 0.616737i | \(0.211546\pi\) | ||||
−0.787169 | + | 0.616737i | \(0.788454\pi\) | |||||||
\(830\) | 2.49434i | 0.0865797i | ||||||||
\(831\) | −11.9870 | − | 12.1461i | −0.415825 | − | 0.421344i | ||||
\(832\) | −0.591455 | + | 3.55671i | −0.0205050 | + | 0.123307i | ||||
\(833\) | −18.6790 | + | 26.4674i | −0.647188 | + | 0.917040i | ||||
\(834\) | −12.5958 | − | 12.7630i | −0.436158 | − | 0.441947i | ||||
\(835\) | 5.48228 | − | 9.49560i | 0.189722 | − | 0.328609i | ||||
\(836\) | −8.90595 | − | 15.4256i | −0.308019 | − | 0.533504i | ||||
\(837\) | −34.7416 | + | 8.57633i | −1.20084 | + | 0.296441i | ||||
\(838\) | − | 39.8315i | − | 1.37596i | ||||||
\(839\) | 5.65771 | − | 9.79944i | 0.195326 | − | 0.338314i | −0.751681 | − | 0.659526i | \(-0.770757\pi\) |
0.947007 | + | 0.321212i | \(0.104090\pi\) | |||||||
\(840\) | 2.67664 | + | 12.5750i | 0.0923529 | + | 0.433880i | ||||
\(841\) | 8.82553 | − | 15.2863i | 0.304328 | − | 0.527112i | ||||
\(842\) | 13.1713 | + | 7.60446i | 0.453913 | + | 0.262067i | ||||
\(843\) | −3.80687 | − | 14.5915i | −0.131116 | − | 0.502559i | ||||
\(844\) | 11.6075 | − | 20.1047i | 0.399545 | − | 0.692033i | ||||
\(845\) | −7.03239 | − | 35.7880i | −0.241922 | − | 1.23115i | ||||
\(846\) | −5.18962 | − | 9.26880i | −0.178423 | − | 0.318668i | ||||
\(847\) | 5.93891 | − | 9.28427i | 0.204063 | − | 0.319011i | ||||
\(848\) | −9.16567 | + | 5.29180i | −0.314750 | + | 0.181721i | ||||
\(849\) | 5.59056 | + | 21.4283i | 0.191867 | + | 0.735418i | ||||
\(850\) | −11.5074 | − | 6.64379i | −0.394700 | − | 0.227880i | ||||
\(851\) | 4.57054 | − | 2.63880i | 0.156676 | − | 0.0904570i | ||||
\(852\) | −2.46441 | − | 9.44594i | −0.0844292 | − | 0.323613i | ||||
\(853\) | − | 1.66413i | − | 0.0569786i | −0.999594 | − | 0.0284893i | \(-0.990930\pi\) | ||
0.999594 | − | 0.0284893i | \(-0.00906966\pi\) | |||||||
\(854\) | −14.5336 | − | 28.0454i | −0.497331 | − | 0.959694i | ||||
\(855\) | −29.3254 | + | 49.2808i | −1.00291 | + | 1.68537i | ||||
\(856\) | −0.465208 | + | 0.805764i | −0.0159005 | + | 0.0275404i | ||||
\(857\) | −8.37234 | + | 14.5013i | −0.285994 | + | 0.495355i | −0.972850 | − | 0.231438i | \(-0.925657\pi\) |
0.686856 | + | 0.726793i | \(0.258990\pi\) | |||||||
\(858\) | 14.8181 | + | 6.85296i | 0.505882 | + | 0.233956i | ||||
\(859\) | −19.5206 | + | 11.2702i | −0.666034 | + | 0.384535i | −0.794572 | − | 0.607170i | \(-0.792305\pi\) |
0.128538 | + | 0.991705i | \(0.458972\pi\) | |||||||
\(860\) | −10.2970 | − | 17.8350i | −0.351125 | − | 0.608167i | ||||
\(861\) | 9.94733 | − | 2.11732i | 0.339004 | − | 0.0721582i | ||||
\(862\) | 3.66693 | − | 6.35131i | 0.124896 | − | 0.216326i | ||||
\(863\) | −18.0586 | + | 10.4261i | −0.614721 | + | 0.354909i | −0.774811 | − | 0.632193i | \(-0.782155\pi\) |
0.160090 | + | 0.987102i | \(0.448822\pi\) | |||||||
\(864\) | −1.44386 | + | 4.99152i | −0.0491211 | + | 0.169815i | ||||
\(865\) | 9.37247 | + | 16.2336i | 0.318673 | + | 0.551959i | ||||
\(866\) | 6.31856 | + | 10.9441i | 0.214713 | + | 0.371894i | ||||
\(867\) | 2.02870 | − | 7.37635i | 0.0688982 | − | 0.250514i | ||||
\(868\) | 15.3489 | + | 9.81832i | 0.520977 | + | 0.333255i | ||||
\(869\) | 0.646044 | − | 0.372994i | 0.0219156 | − | 0.0126529i | ||||
\(870\) | 23.3139 | + | 23.6234i | 0.790416 | + | 0.800907i | ||||
\(871\) | 5.87745 | − | 35.3440i | 0.199150 | − | 1.19759i | ||||
\(872\) | 9.69317 | + | 5.59636i | 0.328252 | + | 0.189517i | ||||
\(873\) | −24.4786 | − | 0.322767i | −0.828476 | − | 0.0109240i | ||||
\(874\) | 31.3238 | − | 18.0848i | 1.05954 | − | 0.611727i | ||||
\(875\) | 8.51480 | − | 13.3111i | 0.287853 | − | 0.449999i | ||||
\(876\) | 0.891871 | + | 3.41849i | 0.0301335 | + | 0.115500i | ||||
\(877\) | 24.9829 | 0.843613 | 0.421807 | − | 0.906686i | \(-0.361396\pi\) | ||||
0.421807 | + | 0.906686i | \(0.361396\pi\) | |||||||
\(878\) | 4.39203 | + | 7.60721i | 0.148224 | + | 0.256731i | ||||
\(879\) | −5.89994 | + | 21.4522i | −0.199000 | + | 0.723564i | ||||
\(880\) | − | 7.33449i | − | 0.247246i | ||||||
\(881\) | −20.4483 | − | 35.4175i | −0.688921 | − | 1.19325i | −0.972187 | − | 0.234205i | \(-0.924751\pi\) |
0.283266 | − | 0.959041i | \(-0.408582\pi\) | |||||||
\(882\) | 8.55237 | + | 19.1796i | 0.287973 | + | 0.645811i | ||||
\(883\) | −34.1756 | −1.15010 | −0.575050 | − | 0.818118i | \(-0.695017\pi\) | ||||
−0.575050 | + | 0.818118i | \(0.695017\pi\) | |||||||
\(884\) | −12.8861 | − | 10.6004i | −0.433406 | − | 0.356529i | ||||
\(885\) | −3.94339 | + | 14.3382i | −0.132556 | + | 0.481972i | ||||
\(886\) | 28.0282 | 0.941627 | ||||||||
\(887\) | −11.4567 | + | 19.8436i | −0.384679 | + | 0.666284i | −0.991725 | − | 0.128383i | \(-0.959021\pi\) |
0.607045 | + | 0.794667i | \(0.292355\pi\) | |||||||
\(888\) | 1.66028 | + | 0.456624i | 0.0557155 | + | 0.0153233i | ||||
\(889\) | −49.3160 | − | 2.24460i | −1.65400 | − | 0.0752815i | ||||
\(890\) | 35.2184 | + | 20.3333i | 1.18052 | + | 0.681575i | ||||
\(891\) | 20.0589 | + | 12.2973i | 0.671997 | + | 0.411976i | ||||
\(892\) | 8.50389 | + | 4.90972i | 0.284731 | + | 0.164390i | ||||
\(893\) | −20.8933 | + | 12.0628i | −0.699169 | + | 0.403665i | ||||
\(894\) | 8.64468 | − | 31.4320i | 0.289121 | − | 1.05125i | ||||
\(895\) | 19.7761 | − | 11.4177i | 0.661041 | − | 0.381652i | ||||
\(896\) | 2.34907 | − | 1.21733i | 0.0784768 | − | 0.0406681i | ||||
\(897\) | −13.9159 | + | 30.0903i | −0.464638 | + | 1.00469i | ||||
\(898\) | −5.08994 | − | 8.81604i | −0.169854 | − | 0.294195i | ||||
\(899\) | 47.0374 | 1.56879 | ||||||||
\(900\) | −7.51581 | + | 4.20812i | −0.250527 | + | 0.140271i | ||||
\(901\) | − | 48.9792i | − | 1.63173i | ||||||
\(902\) | −5.80186 | −0.193181 | ||||||||
\(903\) | −22.5153 | − | 24.9915i | −0.749262 | − | 0.831665i | ||||
\(904\) | −1.12636 | + | 1.95091i | −0.0374622 | + | 0.0648864i | ||||
\(905\) | −34.6420 | + | 20.0006i | −1.15154 | + | 0.664841i | ||||
\(906\) | 26.6501 | − | 26.3011i | 0.885392 | − | 0.873794i | ||||
\(907\) | 21.9726 | 0.729589 | 0.364795 | − | 0.931088i | \(-0.381139\pi\) | ||||
0.364795 | + | 0.931088i | \(0.381139\pi\) | |||||||
\(908\) | −10.0099 | + | 17.3377i | −0.332191 | + | 0.575372i | ||||
\(909\) | −12.8339 | + | 7.18572i | −0.425673 | + | 0.238335i | ||||
\(910\) | −17.9247 | + | 19.8743i | −0.594198 | + | 0.658826i | ||||
\(911\) | − | 22.8904i | − | 0.758392i | −0.925316 | − | 0.379196i | \(-0.876201\pi\) | ||
0.925316 | − | 0.379196i | \(-0.123799\pi\) | |||||||
\(912\) | 11.3786 | + | 3.12943i | 0.376783 | + | 0.103626i | ||||
\(913\) | − | 2.32425i | − | 0.0769214i | ||||||
\(914\) | 2.80333 | − | 1.61851i | 0.0927260 | − | 0.0535354i | ||||
\(915\) | 41.2931 | − | 40.7522i | 1.36511 | − | 1.34723i | ||||
\(916\) | 23.6469 | + | 13.6525i | 0.781315 | + | 0.451093i | ||||
\(917\) | −40.1929 | − | 1.82936i | −1.32729 | − | 0.0604109i | ||||
\(918\) | −16.6642 | − | 17.3367i | −0.549999 | − | 0.572196i | ||||
\(919\) | −39.8456 | −1.31438 | −0.657192 | − | 0.753723i | \(-0.728256\pi\) | ||||
−0.657192 | + | 0.753723i | \(0.728256\pi\) | |||||||
\(920\) | 14.8937 | 0.491031 | ||||||||
\(921\) | 7.82303 | + | 29.9853i | 0.257778 | + | 0.988049i | ||||
\(922\) | −18.5030 | + | 10.6827i | −0.609365 | + | 0.351817i | ||||
\(923\) | 12.9100 | − | 15.6938i | 0.424939 | − | 0.516566i | ||||
\(924\) | −2.49412 | − | 11.7175i | −0.0820505 | − | 0.385479i | ||||
\(925\) | 1.42723 | + | 2.47203i | 0.0469269 | + | 0.0812798i | ||||
\(926\) | −4.44085 | − | 2.56393i | −0.145935 | − | 0.0842558i | ||||
\(927\) | 5.10213 | − | 8.57405i | 0.167576 | − | 0.281609i | ||||
\(928\) | 3.41508 | − | 5.91509i | 0.112105 | − | 0.194172i | ||||
\(929\) | 44.9892 | 1.47605 | 0.738025 | − | 0.674774i | \(-0.235759\pi\) | ||||
0.738025 | + | 0.674774i | \(0.235759\pi\) | |||||||
\(930\) | −8.87437 | + | 32.2672i | −0.291002 | + | 1.05808i | ||||
\(931\) | 43.2993 | − | 19.9961i | 1.41908 | − | 0.655345i | ||||
\(932\) | −20.1926 | − | 11.6582i | −0.661430 | − | 0.381877i | ||||
\(933\) | 11.1379 | − | 40.4972i | 0.364637 | − | 1.32582i | ||||
\(934\) | 12.4691i | 0.408000i | ||||||||
\(935\) | 29.3953 | + | 16.9714i | 0.961330 | + | 0.555024i | ||||
\(936\) | −10.1770 | + | 3.66456i | −0.332645 | + | 0.119780i | ||||
\(937\) | − | 58.9592i | − | 1.92611i | −0.269302 | − | 0.963056i | \(-0.586793\pi\) | ||
0.269302 | − | 0.963056i | \(-0.413207\pi\) | |||||||
\(938\) | −23.3433 | + | 12.0969i | −0.762186 | + | 0.394978i | ||||
\(939\) | 35.2349 | − | 34.7733i | 1.14985 | − | 1.13478i | ||||
\(940\) | −9.93429 | −0.324021 | ||||||||
\(941\) | 11.9470 | − | 20.6928i | 0.389461 | − | 0.674567i | −0.602916 | − | 0.797805i | \(-0.705994\pi\) |
0.992377 | + | 0.123238i | \(0.0393278\pi\) | |||||||
\(942\) | 6.23299 | + | 6.31572i | 0.203082 | + | 0.205777i | ||||
\(943\) | − | 11.7815i | − | 0.383658i | ||||||
\(944\) | 3.06017 | 0.0995999 | ||||||||
\(945\) | −28.9938 | + | 25.4366i | −0.943169 | + | 0.827453i | ||||
\(946\) | 9.59486 | + | 16.6188i | 0.311956 | + | 0.540323i | ||||
\(947\) | 14.5133 | + | 8.37924i | 0.471618 | + | 0.272289i | 0.716917 | − | 0.697159i | \(-0.245553\pi\) |
−0.245299 | + | 0.969447i | \(0.578886\pi\) | |||||||
\(948\) | −0.131065 | + | 0.476552i | −0.00425679 | + | 0.0154777i | ||||
\(949\) | −4.67215 | + | 5.67958i | −0.151664 | + | 0.184367i | ||||
\(950\) | 9.78136 | + | 16.9418i | 0.317349 | + | 0.549665i | ||||
\(951\) | 6.70344 | − | 6.61563i | 0.217374 | − | 0.214527i | ||||
\(952\) | −0.556710 | + | 12.2314i | −0.0180431 | + | 0.396423i | ||||
\(953\) | −0.929490 | − | 0.536641i | −0.0301091 | − | 0.0173835i | 0.484870 | − | 0.874586i | \(-0.338867\pi\) |
−0.514979 | + | 0.857203i | \(0.672200\pi\) | |||||||
\(954\) | −27.2853 | − | 16.2366i | −0.883395 | − | 0.525678i | ||||
\(955\) | −4.44960 | + | 2.56898i | −0.143986 | + | 0.0831301i | ||||
\(956\) | −10.9364 | + | 6.31413i | −0.353708 | + | 0.204214i | ||||
\(957\) | −21.7242 | − | 22.0125i | −0.702242 | − | 0.711563i | ||||
\(958\) | −0.260661 | − | 0.150493i | −0.00842158 | − | 0.00486220i | ||||
\(959\) | 1.25101 | − | 27.4858i | 0.0403971 | − | 0.887562i | ||||
\(960\) | 3.41338 | + | 3.45869i | 0.110166 | + | 0.111629i | ||||
\(961\) | 8.21351 | + | 14.2262i | 0.264952 | + | 0.458910i | ||||
\(962\) | 1.25874 | + | 3.35620i | 0.0405835 | + | 0.108208i | ||||
\(963\) | −2.79101 | − | 0.0368013i | −0.0899389 | − | 0.00118590i | ||||
\(964\) | 9.19785 | + | 5.31038i | 0.296243 | + | 0.171036i | ||||
\(965\) | 2.33778 | + | 4.04916i | 0.0752559 | + | 0.130347i | ||||
\(966\) | 23.7941 | − | 5.06466i | 0.765563 | − | 0.162953i | ||||
\(967\) | 35.2378 | 1.13317 | 0.566586 | − | 0.824002i | \(-0.308264\pi\) | ||||
0.566586 | + | 0.824002i | \(0.308264\pi\) | |||||||
\(968\) | − | 4.16565i | − | 0.133889i | ||||||
\(969\) | −38.8713 | + | 38.3622i | −1.24873 | + | 1.23237i | ||||
\(970\) | −11.4471 | + | 19.8269i | −0.367544 | + | 0.636604i | ||||
\(971\) | 10.1363 | 0.325291 | 0.162645 | − | 0.986685i | \(-0.447997\pi\) | ||||
0.162645 | + | 0.986685i | \(0.447997\pi\) | |||||||
\(972\) | −15.1821 | + | 3.53617i | −0.486965 | + | 0.113423i | ||||
\(973\) | −24.3197 | + | 12.6029i | −0.779655 | + | 0.404031i | ||||
\(974\) | 30.7914i | 0.986621i | ||||||||
\(975\) | −16.2747 | − | 7.52657i | −0.521207 | − | 0.241043i | ||||
\(976\) | −10.3394 | − | 5.96948i | −0.330957 | − | 0.191078i | ||||
\(977\) | 12.7174i | 0.406865i | 0.979089 | + | 0.203432i | \(0.0652097\pi\) | ||||
−0.979089 | + | 0.203432i | \(0.934790\pi\) | |||||||
\(978\) | −29.1140 | − | 8.00715i | −0.930962 | − | 0.256040i | ||||
\(979\) | −32.8168 | − | 18.9468i | −1.04883 | − | 0.605543i | ||||
\(980\) | 19.5578 | + | 1.78403i | 0.624751 | + | 0.0569887i | ||||
\(981\) | −0.442712 | + | 33.5752i | −0.0141347 | + | 1.07197i | ||||
\(982\) | 4.43156 | 0.141417 | ||||||||
\(983\) | 20.8104 | − | 36.0447i | 0.663750 | − | 1.14965i | −0.315873 | − | 0.948802i | \(-0.602297\pi\) |
0.979623 | − | 0.200847i | \(-0.0643694\pi\) | |||||||
\(984\) | 2.73595 | − | 2.70012i | 0.0872190 | − | 0.0860765i | ||||
\(985\) | 20.5796 | + | 11.8817i | 0.655722 | + | 0.378581i | ||||
\(986\) | 15.8044 | + | 27.3741i | 0.503315 | + | 0.871768i | ||||
\(987\) | −15.8710 | + | 3.37819i | −0.505178 | + | 0.107529i | ||||
\(988\) | 8.62667 | + | 23.0014i | 0.274451 | + | 0.731773i | ||||
\(989\) | −33.7468 | + | 19.4837i | −1.07309 | + | 0.619546i | ||||
\(990\) | 19.1990 | − | 10.7495i | 0.610183 | − | 0.341643i | ||||
\(991\) | −15.8076 | −0.502146 | −0.251073 | − | 0.967968i | \(-0.580783\pi\) | ||||
−0.251073 | + | 0.967968i | \(0.580783\pi\) | |||||||
\(992\) | 6.88673 | 0.218654 | ||||||||
\(993\) | −43.4786 | + | 11.3434i | −1.37975 | + | 0.359972i | ||||
\(994\) | −14.8965 | − | 0.678008i | −0.472487 | − | 0.0215051i | ||||
\(995\) | −43.5453 | − | 25.1409i | −1.38048 | − | 0.797020i | ||||
\(996\) | 1.08168 | + | 1.09603i | 0.0342742 | + | 0.0347291i | ||||
\(997\) | −23.0113 | + | 13.2856i | −0.728775 | + | 0.420758i | −0.817974 | − | 0.575256i | \(-0.804903\pi\) |
0.0891990 | + | 0.996014i | \(0.471569\pi\) | |||||||
\(998\) | 12.5669i | 0.397798i | ||||||||
\(999\) | 1.23807 | + | 5.01524i | 0.0391707 | + | 0.158675i |
(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 | 546.2.u.a.185.1 | ✓ | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.185.38 | yes | 76 | |
7.5 | odd | 6 | 546.2.bb.a.341.28 | yes | 76 | ||
13.9 | even | 3 | 546.2.bb.a.269.33 | yes | 76 | ||
21.5 | even | 6 | 546.2.bb.a.341.14 | yes | 76 | ||
39.35 | odd | 6 | 546.2.bb.a.269.9 | yes | 76 | ||
91.61 | odd | 6 | inner | 546.2.u.a.425.38 | yes | 76 | |
273.152 | even | 6 | inner | 546.2.u.a.425.1 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.1 | ✓ | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.185.38 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.u.a.425.1 | yes | 76 | 273.152 | even | 6 | inner | |
546.2.u.a.425.38 | yes | 76 | 91.61 | odd | 6 | inner | |
546.2.bb.a.269.9 | yes | 76 | 39.35 | odd | 6 | ||
546.2.bb.a.269.33 | yes | 76 | 13.9 | even | 3 | ||
546.2.bb.a.341.14 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.341.28 | yes | 76 | 7.5 | odd | 6 |