Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.a.761.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | 0.928002 | + | 1.46247i | 0.535782 | + | 0.844356i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.33451 | + | 1.10412i | 0.544811 | + | 0.450755i | ||||
\(7\) | 0.0557772 | + | 0.530685i | 0.0210818 | + | 0.200580i | 0.999993 | − | 0.00370565i | \(-0.00117955\pi\) |
−0.978911 | + | 0.204286i | \(0.934513\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −1.27762 | + | 2.71435i | −0.425874 | + | 0.904782i | ||||
\(10\) | −0.669131 | + | 0.743145i | −0.211598 | + | 0.235003i | ||||
\(11\) | 3.26789 | + | 1.45496i | 0.985307 | + | 0.438687i | 0.835178 | − | 0.549979i | \(-0.185364\pi\) |
0.150129 | + | 0.988666i | \(0.452031\pi\) | |||||||
\(12\) | 1.61039 | + | 0.637695i | 0.464879 | + | 0.184087i | ||||
\(13\) | −0.192024 | − | 0.903403i | −0.0532579 | − | 0.250559i | 0.943463 | − | 0.331479i | \(-0.107548\pi\) |
−0.996721 | + | 0.0809199i | \(0.974214\pi\) | |||||||
\(14\) | 0.217038 | + | 0.487475i | 0.0580058 | + | 0.130283i | ||||
\(15\) | −1.53491 | − | 0.802533i | −0.396311 | − | 0.207213i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −4.44802 | + | 1.98039i | −1.07880 | + | 0.480314i | −0.867669 | − | 0.497143i | \(-0.834383\pi\) |
−0.211135 | + | 0.977457i | \(0.567716\pi\) | |||||||
\(18\) | −0.376313 | + | 2.97630i | −0.0886977 | + | 0.701522i | ||||
\(19\) | 6.98823 | + | 1.48540i | 1.60321 | + | 0.340773i | 0.920751 | − | 0.390150i | \(-0.127577\pi\) |
0.682460 | + | 0.730923i | \(0.260910\pi\) | |||||||
\(20\) | −0.406737 | + | 0.913545i | −0.0909491 | + | 0.204275i | ||||
\(21\) | −0.724348 | + | 0.574049i | −0.158066 | + | 0.125268i | ||||
\(22\) | 3.55756 | + | 0.373915i | 0.758474 | + | 0.0797189i | ||||
\(23\) | 2.96422 | + | 2.15363i | 0.618082 | + | 0.449063i | 0.852251 | − | 0.523133i | \(-0.175237\pi\) |
−0.234169 | + | 0.972196i | \(0.575237\pi\) | |||||||
\(24\) | 1.72863 | + | 0.108847i | 0.352855 | + | 0.0222184i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −0.461793 | − | 0.799848i | −0.0905650 | − | 0.156863i | ||||
\(27\) | −5.15528 | + | 0.650438i | −0.992134 | + | 0.125177i | ||||
\(28\) | 0.357053 | + | 0.396548i | 0.0674767 | + | 0.0749405i | ||||
\(29\) | 1.61663 | + | 4.97546i | 0.300200 | + | 0.923921i | 0.981425 | + | 0.191846i | \(0.0614476\pi\) |
−0.681225 | + | 0.732074i | \(0.738552\pi\) | |||||||
\(30\) | −1.70778 | − | 0.288942i | −0.311797 | − | 0.0527533i | ||||
\(31\) | −2.08585 | + | 5.16229i | −0.374630 | + | 0.927175i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.904781 | + | 6.12940i | 0.157502 | + | 1.06699i | ||||
\(34\) | −3.61835 | + | 3.25797i | −0.620541 | + | 0.558738i | ||||
\(35\) | −0.313647 | − | 0.431698i | −0.0530160 | − | 0.0729702i | ||||
\(36\) | 0.561834 | + | 2.94692i | 0.0936390 | + | 0.491153i | ||||
\(37\) | −6.62694 | − | 3.82607i | −1.08946 | − | 0.629002i | −0.156029 | − | 0.987752i | \(-0.549869\pi\) |
−0.933433 | + | 0.358751i | \(0.883203\pi\) | |||||||
\(38\) | 7.10522 | − | 0.746789i | 1.15262 | − | 0.121145i | ||||
\(39\) | 1.14300 | − | 1.11919i | 0.183026 | − | 0.179214i | ||||
\(40\) | −0.104528 | + | 0.994522i | −0.0165274 | + | 0.157248i | ||||
\(41\) | −7.30633 | − | 6.57865i | −1.14106 | − | 1.02741i | −0.999296 | − | 0.0375114i | \(-0.988057\pi\) |
−0.141761 | − | 0.989901i | \(-0.545276\pi\) | |||||||
\(42\) | −0.511505 | + | 0.769789i | −0.0789269 | + | 0.118781i | ||||
\(43\) | 0.884595 | − | 4.16169i | 0.134899 | − | 0.634652i | −0.857795 | − | 0.513993i | \(-0.828166\pi\) |
0.992694 | − | 0.120659i | \(-0.0385008\pi\) | |||||||
\(44\) | 3.49899 | − | 0.743733i | 0.527492 | − | 0.112122i | ||||
\(45\) | −0.250719 | − | 2.98950i | −0.0373750 | − | 0.445649i | ||||
\(46\) | 3.48465 | + | 1.13223i | 0.513783 | + | 0.166938i | ||||
\(47\) | 10.3560 | + | 3.36487i | 1.51058 | + | 0.490817i | 0.943083 | − | 0.332558i | \(-0.107912\pi\) |
0.567497 | + | 0.823375i | \(0.307912\pi\) | |||||||
\(48\) | 1.67766 | − | 0.430655i | 0.242149 | − | 0.0621597i | ||||
\(49\) | 6.56852 | − | 1.39618i | 0.938360 | − | 0.199455i | ||||
\(50\) | 0.207912 | − | 0.978148i | 0.0294032 | − | 0.138331i | ||||
\(51\) | −7.02402 | − | 4.66728i | −0.983560 | − | 0.653550i | ||||
\(52\) | −0.686358 | − | 0.617999i | −0.0951807 | − | 0.0857011i | ||||
\(53\) | −0.214537 | + | 2.04118i | −0.0294689 | + | 0.280378i | 0.969857 | + | 0.243674i | \(0.0783526\pi\) |
−0.999326 | + | 0.0367043i | \(0.988314\pi\) | |||||||
\(54\) | −4.70197 | + | 2.21167i | −0.639857 | + | 0.300971i | ||||
\(55\) | −3.55756 | + | 0.373915i | −0.479701 | + | 0.0504186i | ||||
\(56\) | 0.462118 | + | 0.266804i | 0.0617531 | + | 0.0356532i | ||||
\(57\) | 4.31276 | + | 11.5985i | 0.571238 | + | 1.53626i | ||||
\(58\) | 3.07501 | + | 4.23238i | 0.403768 | + | 0.555739i | ||||
\(59\) | −5.93713 | + | 5.34582i | −0.772949 | + | 0.695966i | −0.958002 | − | 0.286763i | \(-0.907421\pi\) |
0.185053 | + | 0.982729i | \(0.440754\pi\) | |||||||
\(60\) | −1.71348 | + | 0.252933i | −0.221210 | + | 0.0326535i | ||||
\(61\) | − | 2.90278i | − | 0.371663i | −0.982582 | − | 0.185831i | \(-0.940502\pi\) | ||
0.982582 | − | 0.185831i | \(-0.0594978\pi\) | |||||||
\(62\) | −0.388526 | + | 5.55419i | −0.0493428 | + | 0.705383i | ||||
\(63\) | −1.51172 | − | 0.526616i | −0.190459 | − | 0.0663474i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 0.617999 | + | 0.686358i | 0.0766534 | + | 0.0851322i | ||||
\(66\) | 2.75459 | + | 5.54981i | 0.339066 | + | 0.683134i | ||||
\(67\) | −7.79547 | − | 13.5021i | −0.952368 | − | 1.64955i | −0.740280 | − | 0.672299i | \(-0.765307\pi\) |
−0.212088 | − | 0.977251i | \(-0.568026\pi\) | |||||||
\(68\) | −2.43448 | + | 4.21665i | −0.295224 | + | 0.511344i | ||||
\(69\) | −0.398813 | + | 6.33364i | −0.0480115 | + | 0.762481i | ||||
\(70\) | −0.431698 | − | 0.313647i | −0.0515978 | − | 0.0374880i | ||||
\(71\) | 10.3864 | + | 1.09165i | 1.23264 | + | 0.129555i | 0.698356 | − | 0.715751i | \(-0.253915\pi\) |
0.534282 | + | 0.845306i | \(0.320582\pi\) | |||||||
\(72\) | 1.44498 | + | 2.62907i | 0.170293 | + | 0.309839i | ||||
\(73\) | 6.67127 | − | 14.9839i | 0.780813 | − | 1.75373i | 0.134147 | − | 0.990961i | \(-0.457171\pi\) |
0.646666 | − | 0.762773i | \(-0.276163\pi\) | |||||||
\(74\) | −7.48492 | − | 1.59097i | −0.870104 | − | 0.184946i | ||||
\(75\) | 1.73054 | − | 0.0724398i | 0.199825 | − | 0.00836463i | ||||
\(76\) | 6.52669 | − | 2.90587i | 0.748663 | − | 0.333326i | ||||
\(77\) | −0.589851 | + | 1.81538i | −0.0672198 | + | 0.206881i | ||||
\(78\) | 0.741208 | − | 1.41762i | 0.0839252 | − | 0.160514i | ||||
\(79\) | −3.95429 | − | 8.88148i | −0.444892 | − | 0.999245i | −0.987262 | − | 0.159105i | \(-0.949139\pi\) |
0.542369 | − | 0.840140i | \(-0.317527\pi\) | |||||||
\(80\) | 0.207912 | + | 0.978148i | 0.0232452 | + | 0.109360i | ||||
\(81\) | −5.73536 | − | 6.93583i | −0.637262 | − | 0.770647i | ||||
\(82\) | −8.98165 | − | 3.99889i | −0.991857 | − | 0.441603i | ||||
\(83\) | 2.52325 | − | 2.80236i | 0.276963 | − | 0.307599i | −0.588574 | − | 0.808443i | \(-0.700310\pi\) |
0.865537 | + | 0.500844i | \(0.166977\pi\) | |||||||
\(84\) | −0.248592 | + | 0.890176i | −0.0271236 | + | 0.0971262i | ||||
\(85\) | 2.86191 | − | 3.93907i | 0.310417 | − | 0.427253i | ||||
\(86\) | −0.444734 | − | 4.23136i | −0.0479569 | − | 0.456279i | ||||
\(87\) | −5.77622 | + | 6.98151i | −0.619276 | + | 0.748496i | ||||
\(88\) | 3.09791 | − | 1.78858i | 0.330238 | − | 0.190663i | ||||
\(89\) | −1.09614 | + | 0.796391i | −0.116190 | + | 0.0844173i | −0.644363 | − | 0.764720i | \(-0.722877\pi\) |
0.528173 | + | 0.849137i | \(0.322877\pi\) | |||||||
\(90\) | −1.16226 | − | 2.76571i | −0.122513 | − | 0.291532i | ||||
\(91\) | 0.468711 | − | 0.152294i | 0.0491343 | − | 0.0159647i | ||||
\(92\) | 3.66397 | 0.381996 | ||||||||
\(93\) | −9.48535 | + | 1.74013i | −0.983585 | + | 0.180443i | ||||
\(94\) | 10.8890 | 1.12311 | ||||||||
\(95\) | −6.79469 | + | 2.20773i | −0.697120 | + | 0.226508i | ||||
\(96\) | 1.46247 | − | 0.928002i | 0.149262 | − | 0.0947138i | ||||
\(97\) | 6.70459 | − | 4.87117i | 0.680748 | − | 0.494592i | −0.192858 | − | 0.981227i | \(-0.561776\pi\) |
0.873606 | + | 0.486634i | \(0.161776\pi\) | |||||||
\(98\) | 5.81559 | − | 3.35763i | 0.587463 | − | 0.339172i | ||||
\(99\) | −8.12441 | + | 7.01131i | −0.816534 | + | 0.704663i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | −8.20256 | + | 11.2899i | −0.816185 | + | 1.12338i | 0.174155 | + | 0.984718i | \(0.444281\pi\) |
−0.990340 | + | 0.138664i | \(0.955719\pi\) | |||||||
\(102\) | −8.12251 | − | 2.26831i | −0.804249 | − | 0.224596i | ||||
\(103\) | −0.782332 | + | 0.868867i | −0.0770854 | + | 0.0856120i | −0.780454 | − | 0.625214i | \(-0.785012\pi\) |
0.703368 | + | 0.710826i | \(0.251679\pi\) | |||||||
\(104\) | −0.843737 | − | 0.375656i | −0.0827352 | − | 0.0368361i | ||||
\(105\) | 0.340279 | − | 0.859315i | 0.0332078 | − | 0.0838605i | ||||
\(106\) | 0.426724 | + | 2.00758i | 0.0414471 | + | 0.194993i | ||||
\(107\) | −2.11595 | − | 4.75251i | −0.204557 | − | 0.459442i | 0.781912 | − | 0.623388i | \(-0.214244\pi\) |
−0.986469 | + | 0.163946i | \(0.947578\pi\) | |||||||
\(108\) | −3.78839 | + | 3.55641i | −0.364538 | + | 0.342216i | ||||
\(109\) | −4.04029 | + | 12.4347i | −0.386989 | + | 1.19103i | 0.548038 | + | 0.836454i | \(0.315375\pi\) |
−0.935027 | + | 0.354577i | \(0.884625\pi\) | |||||||
\(110\) | −3.26789 | + | 1.45496i | −0.311582 | + | 0.138725i | ||||
\(111\) | −0.554319 | − | 13.2423i | −0.0526136 | − | 1.25690i | ||||
\(112\) | 0.521947 | + | 0.110943i | 0.0493194 | + | 0.0104832i | ||||
\(113\) | 4.91174 | − | 11.0319i | 0.462058 | − | 1.03780i | −0.520842 | − | 0.853653i | \(-0.674382\pi\) |
0.982899 | − | 0.184145i | \(-0.0589516\pi\) | |||||||
\(114\) | 7.68581 | + | 9.69813i | 0.719842 | + | 0.908313i | ||||
\(115\) | −3.64390 | − | 0.382990i | −0.339796 | − | 0.0357140i | ||||
\(116\) | 4.23238 | + | 3.07501i | 0.392967 | + | 0.285507i | ||||
\(117\) | 2.69748 | + | 0.632988i | 0.249382 | + | 0.0585198i | ||||
\(118\) | −3.99460 | + | 6.91885i | −0.367733 | + | 0.636932i | ||||
\(119\) | −1.29906 | − | 2.25004i | −0.119085 | − | 0.206260i | ||||
\(120\) | −1.55146 | + | 0.770049i | −0.141628 | + | 0.0702955i | ||||
\(121\) | 1.20179 | + | 1.33472i | 0.109254 | + | 0.121338i | ||||
\(122\) | −0.897008 | − | 2.76071i | −0.0812112 | − | 0.249943i | ||||
\(123\) | 2.84077 | − | 16.7903i | 0.256144 | − | 1.51393i | ||||
\(124\) | 1.34683 | + | 5.40241i | 0.120949 | + | 0.485151i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −1.60047 | − | 0.0336934i | −0.142581 | − | 0.00300165i | ||||
\(127\) | 2.07482 | − | 1.86818i | 0.184111 | − | 0.165774i | −0.571922 | − | 0.820308i | \(-0.693802\pi\) |
0.756032 | + | 0.654534i | \(0.227135\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | 6.90724 | − | 2.56837i | 0.608149 | − | 0.226132i | ||||
\(130\) | 0.799848 | + | 0.461793i | 0.0701513 | + | 0.0405019i | ||||
\(131\) | 2.06866 | − | 0.217425i | 0.180740 | − | 0.0189965i | −0.0137261 | − | 0.999906i | \(-0.504369\pi\) |
0.194466 | + | 0.980909i | \(0.437703\pi\) | |||||||
\(132\) | 4.33475 | + | 4.42697i | 0.377292 | + | 0.385318i | ||||
\(133\) | −0.398492 | + | 3.79140i | −0.0345537 | + | 0.328756i | ||||
\(134\) | −11.5863 | − | 10.4324i | −1.00091 | − | 0.901219i | ||||
\(135\) | 4.13939 | − | 3.14094i | 0.356262 | − | 0.270329i | ||||
\(136\) | −1.01231 | + | 4.76257i | −0.0868053 | + | 0.408387i | ||||
\(137\) | 11.3232 | − | 2.40681i | 0.967402 | − | 0.205628i | 0.302990 | − | 0.952994i | \(-0.402015\pi\) |
0.664413 | + | 0.747366i | \(0.268682\pi\) | |||||||
\(138\) | 1.57791 | + | 6.14689i | 0.134321 | + | 0.523258i | ||||
\(139\) | 4.29889 | + | 1.39679i | 0.364627 | + | 0.118475i | 0.485600 | − | 0.874181i | \(-0.338601\pi\) |
−0.120973 | + | 0.992656i | \(0.538601\pi\) | |||||||
\(140\) | −0.507491 | − | 0.164894i | −0.0428908 | − | 0.0139361i | ||||
\(141\) | 4.68939 | + | 18.2679i | 0.394918 | + | 1.53844i | ||||
\(142\) | 10.2154 | − | 2.17135i | 0.857256 | − | 0.182215i | ||||
\(143\) | 0.686901 | − | 3.23161i | 0.0574415 | − | 0.270241i | ||||
\(144\) | 2.18669 | + | 2.05387i | 0.182224 | + | 0.171156i | ||||
\(145\) | −3.88777 | − | 3.50057i | −0.322862 | − | 0.290706i | ||||
\(146\) | 1.71447 | − | 16.3121i | 0.141891 | − | 1.35000i | ||||
\(147\) | 8.13747 | + | 8.31059i | 0.671167 | + | 0.685446i | ||||
\(148\) | −7.61022 | + | 0.799866i | −0.625556 | + | 0.0657486i | ||||
\(149\) | 15.5131 | + | 8.95649i | 1.27088 | + | 0.733745i | 0.975154 | − | 0.221527i | \(-0.0711043\pi\) |
0.295729 | + | 0.955272i | \(0.404438\pi\) | |||||||
\(150\) | 1.62345 | − | 0.603659i | 0.132554 | − | 0.0492886i | ||||
\(151\) | −10.5527 | − | 14.5246i | −0.858770 | − | 1.18200i | −0.981861 | − | 0.189600i | \(-0.939281\pi\) |
0.123091 | − | 0.992395i | \(-0.460719\pi\) | |||||||
\(152\) | 5.30929 | − | 4.78051i | 0.430640 | − | 0.387750i | ||||
\(153\) | 0.307439 | − | 14.6037i | 0.0248550 | − | 1.18064i | ||||
\(154\) | 1.90880i | 0.153815i | ||||||||
\(155\) | −0.774746 | − | 5.51360i | −0.0622291 | − | 0.442863i | ||||
\(156\) | 0.266862 | − | 1.57728i | 0.0213661 | − | 0.126284i | ||||
\(157\) | −4.78962 | − | 14.7409i | −0.382253 | − | 1.17645i | −0.938453 | − | 0.345406i | \(-0.887741\pi\) |
0.556200 | − | 0.831048i | \(-0.312259\pi\) | |||||||
\(158\) | −6.50528 | − | 7.22485i | −0.517532 | − | 0.574778i | ||||
\(159\) | −3.18426 | + | 1.58047i | −0.252528 | + | 0.125339i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −0.977562 | + | 1.69319i | −0.0770427 | + | 0.133442i | ||||
\(162\) | −7.59794 | − | 4.82404i | −0.596950 | − | 0.379012i | ||||
\(163\) | 6.54365 | + | 4.75424i | 0.512538 | + | 0.372381i | 0.813786 | − | 0.581165i | \(-0.197403\pi\) |
−0.301247 | + | 0.953546i | \(0.597403\pi\) | |||||||
\(164\) | −9.77778 | − | 1.02769i | −0.763516 | − | 0.0802488i | ||||
\(165\) | −3.84826 | − | 4.85582i | −0.299587 | − | 0.378025i | ||||
\(166\) | 1.53378 | − | 3.44493i | 0.119045 | − | 0.267378i | ||||
\(167\) | −7.88557 | − | 1.67613i | −0.610204 | − | 0.129703i | −0.107563 | − | 0.994198i | \(-0.534305\pi\) |
−0.502641 | + | 0.864496i | \(0.667638\pi\) | |||||||
\(168\) | 0.0386544 | + | 0.923427i | 0.00298225 | + | 0.0712440i | ||||
\(169\) | 11.0968 | − | 4.94063i | 0.853602 | − | 0.380048i | ||||
\(170\) | 1.50459 | − | 4.63066i | 0.115397 | − | 0.355155i | ||||
\(171\) | −12.9602 | + | 17.0707i | −0.991092 | + | 1.30543i | ||||
\(172\) | −1.73053 | − | 3.88683i | −0.131952 | − | 0.296368i | ||||
\(173\) | 0.334418 | + | 1.57332i | 0.0254254 | + | 0.119617i | 0.989030 | − | 0.147714i | \(-0.0471916\pi\) |
−0.963605 | + | 0.267331i | \(0.913858\pi\) | |||||||
\(174\) | −3.33611 | + | 8.42476i | −0.252910 | + | 0.638679i | ||||
\(175\) | 0.487475 | + | 0.217038i | 0.0368496 | + | 0.0164065i | ||||
\(176\) | 2.39358 | − | 2.65835i | 0.180423 | − | 0.200380i | ||||
\(177\) | −13.3278 | − | 3.72193i | −1.00178 | − | 0.279757i | ||||
\(178\) | −0.796391 | + | 1.09614i | −0.0596920 | + | 0.0821590i | ||||
\(179\) | −1.99466 | − | 18.9780i | −0.149088 | − | 1.41848i | −0.771719 | − | 0.635964i | \(-0.780603\pi\) |
0.622631 | − | 0.782516i | \(-0.286064\pi\) | |||||||
\(180\) | −1.96002 | − | 2.27119i | −0.146091 | − | 0.169285i | ||||
\(181\) | 7.82137 | − | 4.51567i | 0.581358 | − | 0.335647i | −0.180315 | − | 0.983609i | \(-0.557712\pi\) |
0.761673 | + | 0.647962i | \(0.224378\pi\) | |||||||
\(182\) | 0.398710 | − | 0.289680i | 0.0295543 | − | 0.0214725i | ||||
\(183\) | 4.24522 | − | 2.69378i | 0.313816 | − | 0.199130i | ||||
\(184\) | 3.48465 | − | 1.13223i | 0.256892 | − | 0.0834691i | ||||
\(185\) | 7.65214 | 0.562596 | ||||||||
\(186\) | −8.48338 | + | 4.58610i | −0.622032 | + | 0.336269i | ||||
\(187\) | −17.4170 | −1.27366 | ||||||||
\(188\) | 10.3560 | − | 3.36487i | 0.755290 | − | 0.245409i | ||||
\(189\) | −0.632724 | − | 2.69955i | −0.0460239 | − | 0.196363i | ||||
\(190\) | −5.77991 | + | 4.19935i | −0.419318 | + | 0.304653i | ||||
\(191\) | −11.0534 | + | 6.38167i | −0.799795 | + | 0.461762i | −0.843399 | − | 0.537287i | \(-0.819449\pi\) |
0.0436045 | + | 0.999049i | \(0.486116\pi\) | |||||||
\(192\) | 1.10412 | − | 1.33451i | 0.0796831 | − | 0.0963100i | ||||
\(193\) | 2.86137 | + | 27.2241i | 0.205966 | + | 1.95963i | 0.273377 | + | 0.961907i | \(0.411859\pi\) |
−0.0674118 | + | 0.997725i | \(0.521474\pi\) | |||||||
\(194\) | 4.87117 | − | 6.70459i | 0.349730 | − | 0.481362i | ||||
\(195\) | −0.430271 | + | 1.54075i | −0.0308124 | + | 0.110335i | ||||
\(196\) | 4.49339 | − | 4.99041i | 0.320956 | − | 0.356458i | ||||
\(197\) | −23.2027 | − | 10.3305i | −1.65312 | − | 0.736017i | −0.653343 | − | 0.757062i | \(-0.726634\pi\) |
−0.999779 | + | 0.0210451i | \(0.993301\pi\) | |||||||
\(198\) | −5.56016 | + | 9.17873i | −0.395143 | + | 0.652304i | ||||
\(199\) | 1.28362 | + | 6.03897i | 0.0909936 | + | 0.428091i | 0.999938 | + | 0.0111730i | \(0.00355654\pi\) |
−0.908944 | + | 0.416918i | \(0.863110\pi\) | |||||||
\(200\) | −0.406737 | − | 0.913545i | −0.0287606 | − | 0.0645974i | ||||
\(201\) | 12.5122 | − | 23.9306i | 0.882545 | − | 1.68794i | ||||
\(202\) | −4.31234 | + | 13.2720i | −0.303415 | + | 0.933816i | ||||
\(203\) | −2.55023 | + | 1.13544i | −0.178991 | + | 0.0796920i | ||||
\(204\) | −8.42591 | + | 0.352707i | −0.589932 | + | 0.0246944i | ||||
\(205\) | 9.61679 | + | 2.04411i | 0.671666 | + | 0.142767i | ||||
\(206\) | −0.475547 | + | 1.06810i | −0.0331329 | + | 0.0744178i | ||||
\(207\) | −9.63285 | + | 5.29439i | −0.669529 | + | 0.367985i | ||||
\(208\) | −0.918526 | − | 0.0965410i | −0.0636883 | − | 0.00669391i | ||||
\(209\) | 20.6756 | + | 15.0217i | 1.43016 | + | 1.03907i | ||||
\(210\) | 0.0580817 | − | 0.922409i | 0.00400802 | − | 0.0636523i | ||||
\(211\) | 12.3160 | − | 21.3319i | 0.847866 | − | 1.46855i | −0.0352432 | − | 0.999379i | \(-0.511221\pi\) |
0.883109 | − | 0.469168i | \(-0.155446\pi\) | |||||||
\(212\) | 1.02621 | + | 1.77745i | 0.0704806 | + | 0.122076i | ||||
\(213\) | 8.04208 | + | 16.2028i | 0.551035 | + | 1.11020i | ||||
\(214\) | −3.48100 | − | 3.86604i | −0.237956 | − | 0.264277i | ||||
\(215\) | 1.31476 | + | 4.04643i | 0.0896661 | + | 0.275964i | ||||
\(216\) | −2.50398 | + | 4.55303i | −0.170375 | + | 0.309794i | ||||
\(217\) | −2.85589 | − | 0.818990i | −0.193870 | − | 0.0555967i | ||||
\(218\) | 13.0746i | 0.885527i | ||||||||
\(219\) | 28.1044 | − | 4.14859i | 1.89912 | − | 0.280336i | ||||
\(220\) | −2.65835 | + | 2.39358i | −0.179226 | + | 0.161375i | ||||
\(221\) | 2.64321 | + | 3.63807i | 0.177802 | + | 0.244723i | ||||
\(222\) | −4.61928 | − | 12.4229i | −0.310026 | − | 0.833769i | ||||
\(223\) | 11.6159 | + | 6.70641i | 0.777855 | + | 0.449095i | 0.835670 | − | 0.549233i | \(-0.185080\pi\) |
−0.0578146 | + | 0.998327i | \(0.518413\pi\) | |||||||
\(224\) | 0.530685 | − | 0.0557772i | 0.0354579 | − | 0.00372677i | ||||
\(225\) | 1.71188 | + | 2.46363i | 0.114125 | + | 0.164242i | ||||
\(226\) | 1.26228 | − | 12.0098i | 0.0839658 | − | 0.798881i | ||||
\(227\) | 2.73661 | + | 2.46405i | 0.181635 | + | 0.163545i | 0.754933 | − | 0.655802i | \(-0.227670\pi\) |
−0.573298 | + | 0.819347i | \(0.694336\pi\) | |||||||
\(228\) | 10.3065 | + | 6.84842i | 0.682567 | + | 0.453548i | ||||
\(229\) | −2.26195 | + | 10.6416i | −0.149474 | + | 0.703219i | 0.838030 | + | 0.545624i | \(0.183707\pi\) |
−0.987504 | + | 0.157595i | \(0.949626\pi\) | |||||||
\(230\) | −3.58391 | + | 0.761783i | −0.236316 | + | 0.0502305i | ||||
\(231\) | −3.20231 | + | 0.822034i | −0.210697 | + | 0.0540859i | ||||
\(232\) | 4.97546 | + | 1.61663i | 0.326655 | + | 0.106137i | ||||
\(233\) | −23.4239 | − | 7.61088i | −1.53455 | − | 0.498606i | −0.584684 | − | 0.811261i | \(-0.698781\pi\) |
−0.949867 | + | 0.312656i | \(0.898781\pi\) | |||||||
\(234\) | 2.76106 | − | 0.231561i | 0.180496 | − | 0.0151376i | ||||
\(235\) | −10.6510 | + | 2.26394i | −0.694795 | + | 0.147683i | ||||
\(236\) | −1.66105 | + | 7.81461i | −0.108125 | + | 0.508688i | ||||
\(237\) | 9.31929 | − | 14.0251i | 0.605353 | − | 0.911025i | ||||
\(238\) | −1.93078 | − | 1.73848i | −0.125154 | − | 0.112689i | ||||
\(239\) | 0.491079 | − | 4.67230i | 0.0317652 | − | 0.302226i | −0.967092 | − | 0.254428i | \(-0.918113\pi\) |
0.998857 | − | 0.0477982i | \(-0.0152205\pi\) | |||||||
\(240\) | −1.23757 | + | 1.21179i | −0.0798846 | + | 0.0782205i | ||||
\(241\) | −15.1891 | + | 1.59644i | −0.978419 | + | 0.102836i | −0.580217 | − | 0.814462i | \(-0.697032\pi\) |
−0.398202 | + | 0.917298i | \(0.630366\pi\) | |||||||
\(242\) | 1.55542 | + | 0.898024i | 0.0999864 | + | 0.0577272i | ||||
\(243\) | 4.82100 | − | 14.8242i | 0.309267 | − | 0.950975i | ||||
\(244\) | −1.70621 | − | 2.34840i | −0.109229 | − | 0.150341i | ||||
\(245\) | −4.99041 | + | 4.49339i | −0.318826 | + | 0.287072i | ||||
\(246\) | −2.48675 | − | 16.8463i | −0.158549 | − | 1.07408i | ||||
\(247\) | − | 6.59842i | − | 0.419848i | ||||||
\(248\) | 2.95035 | + | 4.72181i | 0.187347 | + | 0.299835i | ||||
\(249\) | 6.43995 | + | 1.08958i | 0.408115 | + | 0.0690495i | ||||
\(250\) | 0.309017 | + | 0.951057i | 0.0195440 | + | 0.0601501i | ||||
\(251\) | −7.59356 | − | 8.43350i | −0.479301 | − | 0.532318i | 0.454196 | − | 0.890902i | \(-0.349926\pi\) |
−0.933498 | + | 0.358584i | \(0.883260\pi\) | |||||||
\(252\) | −1.53255 | + | 0.462528i | −0.0965415 | + | 0.0291365i | ||||
\(253\) | 6.55330 | + | 11.3507i | 0.412003 | + | 0.713610i | ||||
\(254\) | 1.39597 | − | 2.41790i | 0.0875912 | − | 0.151712i | ||||
\(255\) | 8.41662 | + | 0.529973i | 0.527069 | + | 0.0331882i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −19.0451 | − | 2.00172i | −1.18800 | − | 0.124864i | −0.510165 | − | 0.860077i | \(-0.670415\pi\) |
−0.677836 | + | 0.735213i | \(0.737082\pi\) | |||||||
\(258\) | 5.77551 | − | 4.57712i | 0.359567 | − | 0.284959i | ||||
\(259\) | 1.66080 | − | 3.73022i | 0.103197 | − | 0.231785i | ||||
\(260\) | 0.903403 | + | 0.192024i | 0.0560267 | + | 0.0119088i | ||||
\(261\) | −15.5706 | − | 1.96868i | −0.963794 | − | 0.121859i | ||||
\(262\) | 1.90023 | − | 0.846036i | 0.117396 | − | 0.0522682i | ||||
\(263\) | −2.13997 | + | 6.58614i | −0.131956 | + | 0.406119i | −0.995104 | − | 0.0988319i | \(-0.968489\pi\) |
0.863148 | + | 0.504951i | \(0.168489\pi\) | |||||||
\(264\) | 5.49060 | + | 2.87079i | 0.337923 | + | 0.176685i | ||||
\(265\) | −0.834797 | − | 1.87499i | −0.0512812 | − | 0.115179i | ||||
\(266\) | 0.792618 | + | 3.72898i | 0.0485986 | + | 0.228638i | ||||
\(267\) | −2.18192 | − | 0.864014i | −0.133531 | − | 0.0528768i | ||||
\(268\) | −14.2430 | − | 6.34140i | −0.870031 | − | 0.387363i | ||||
\(269\) | −4.02839 | + | 4.47398i | −0.245615 | + | 0.272784i | −0.853329 | − | 0.521373i | \(-0.825420\pi\) |
0.607714 | + | 0.794156i | \(0.292087\pi\) | |||||||
\(270\) | 2.96619 | − | 4.26635i | 0.180516 | − | 0.259642i | ||||
\(271\) | −11.6934 | + | 16.0947i | −0.710326 | + | 0.977681i | 0.289464 | + | 0.957189i | \(0.406523\pi\) |
−0.999790 | + | 0.0204915i | \(0.993477\pi\) | |||||||
\(272\) | 0.508945 | + | 4.84229i | 0.0308593 | + | 0.293607i | ||||
\(273\) | 0.657690 | + | 0.544147i | 0.0398052 | + | 0.0329332i | ||||
\(274\) | 10.0252 | − | 5.78806i | 0.605645 | − | 0.349670i | ||||
\(275\) | 2.89398 | − | 2.10260i | 0.174514 | − | 0.126792i | ||||
\(276\) | 3.40018 | + | 5.35844i | 0.204667 | + | 0.322540i | ||||
\(277\) | 13.1585 | − | 4.27544i | 0.790615 | − | 0.256886i | 0.114249 | − | 0.993452i | \(-0.463554\pi\) |
0.676366 | + | 0.736566i | \(0.263554\pi\) | |||||||
\(278\) | 4.52012 | 0.271099 | ||||||||
\(279\) | −11.3473 | − | 12.2572i | −0.679346 | − | 0.733818i | ||||
\(280\) | −0.533608 | −0.0318892 | ||||||||
\(281\) | −4.24780 | + | 1.38019i | −0.253403 | + | 0.0823355i | −0.432964 | − | 0.901411i | \(-0.642532\pi\) |
0.179561 | + | 0.983747i | \(0.442532\pi\) | |||||||
\(282\) | 10.1050 | + | 15.9247i | 0.601743 | + | 0.948305i | ||||
\(283\) | −10.4808 | + | 7.61475i | −0.623019 | + | 0.452650i | −0.853975 | − | 0.520314i | \(-0.825815\pi\) |
0.230956 | + | 0.972964i | \(0.425815\pi\) | |||||||
\(284\) | 9.04442 | − | 5.22180i | 0.536688 | − | 0.309857i | ||||
\(285\) | −9.53422 | − | 7.88823i | −0.564758 | − | 0.467259i | ||||
\(286\) | −0.345342 | − | 3.28571i | −0.0204205 | − | 0.194288i | ||||
\(287\) | 3.08366 | − | 4.24430i | 0.182023 | − | 0.250533i | ||||
\(288\) | 2.71435 | + | 1.27762i | 0.159944 | + | 0.0752847i | ||||
\(289\) | 4.48773 | − | 4.98413i | 0.263984 | − | 0.293184i | ||||
\(290\) | −4.77923 | − | 2.12785i | −0.280646 | − | 0.124952i | ||||
\(291\) | 13.3458 | + | 5.28479i | 0.782345 | + | 0.309800i | ||||
\(292\) | −3.41015 | − | 16.0435i | −0.199564 | − | 0.938876i | ||||
\(293\) | −1.18132 | − | 2.65329i | −0.0690136 | − | 0.155007i | 0.875745 | − | 0.482774i | \(-0.160371\pi\) |
−0.944759 | + | 0.327767i | \(0.893704\pi\) | |||||||
\(294\) | 10.3073 | + | 5.38922i | 0.601134 | + | 0.314306i | ||||
\(295\) | 2.46880 | − | 7.59818i | 0.143739 | − | 0.442383i | ||||
\(296\) | −6.99057 | + | 3.11240i | −0.406319 | + | 0.180905i | ||||
\(297\) | −17.7933 | − | 5.37517i | −1.03247 | − | 0.311899i | ||||
\(298\) | 17.5215 | + | 3.72432i | 1.01500 | + | 0.215744i | ||||
\(299\) | 1.37639 | − | 3.09143i | 0.0795989 | − | 0.178782i | ||||
\(300\) | 1.35745 | − | 1.07579i | 0.0783726 | − | 0.0621107i | ||||
\(301\) | 2.25789 | + | 0.237313i | 0.130142 | + | 0.0136785i | ||||
\(302\) | −14.5246 | − | 10.5527i | −0.835797 | − | 0.607242i | ||||
\(303\) | −24.1230 | − | 1.51897i | −1.38583 | − | 0.0872623i | ||||
\(304\) | 3.57218 | − | 6.18719i | 0.204878 | − | 0.354860i | ||||
\(305\) | 1.45139 | + | 2.51388i | 0.0831063 | + | 0.143944i | ||||
\(306\) | −4.22039 | − | 13.9839i | −0.241263 | − | 0.799407i | ||||
\(307\) | −11.4054 | − | 12.6670i | −0.650941 | − | 0.722943i | 0.323839 | − | 0.946112i | \(-0.395026\pi\) |
−0.974780 | + | 0.223169i | \(0.928360\pi\) | |||||||
\(308\) | 0.589851 | + | 1.81538i | 0.0336099 | + | 0.103441i | ||||
\(309\) | −1.99670 | − | 0.337824i | −0.113588 | − | 0.0192181i | ||||
\(310\) | −2.44062 | − | 5.00433i | −0.138618 | − | 0.284227i | ||||
\(311\) | 8.73371i | 0.495243i | 0.968857 | + | 0.247622i | \(0.0796490\pi\) | ||||
−0.968857 | + | 0.247622i | \(0.920351\pi\) | |||||||
\(312\) | −0.233605 | − | 1.58255i | −0.0132253 | − | 0.0895941i | ||||
\(313\) | −21.8884 | + | 19.7084i | −1.23721 | + | 1.11399i | −0.247801 | + | 0.968811i | \(0.579708\pi\) |
−0.989406 | + | 0.145175i | \(0.953625\pi\) | |||||||
\(314\) | −9.11040 | − | 12.5394i | −0.514129 | − | 0.707638i | ||||
\(315\) | 1.57250 | − | 0.299799i | 0.0886003 | − | 0.0168918i | ||||
\(316\) | −8.41949 | − | 4.86100i | −0.473633 | − | 0.273452i | ||||
\(317\) | 20.1882 | − | 2.12187i | 1.13388 | − | 0.119176i | 0.481061 | − | 0.876687i | \(-0.340252\pi\) |
0.652822 | + | 0.757511i | \(0.273585\pi\) | |||||||
\(318\) | −2.54002 | + | 2.48711i | −0.142437 | + | 0.139470i | ||||
\(319\) | −1.95614 | + | 18.6114i | −0.109523 | + | 1.04204i | ||||
\(320\) | 0.743145 | + | 0.669131i | 0.0415431 | + | 0.0374055i | ||||
\(321\) | 4.98678 | − | 7.50485i | 0.278335 | − | 0.418880i | ||||
\(322\) | −0.406493 | + | 1.91240i | −0.0226530 | + | 0.106574i | ||||
\(323\) | −34.0255 | + | 7.23234i | −1.89323 | + | 0.402418i | ||||
\(324\) | −8.71678 | − | 2.24004i | −0.484265 | − | 0.124447i | ||||
\(325\) | −0.878382 | − | 0.285404i | −0.0487239 | − | 0.0158313i | ||||
\(326\) | 7.69252 | + | 2.49945i | 0.426049 | + | 0.138432i | ||||
\(327\) | −21.9348 | + | 5.63066i | −1.21300 | + | 0.311376i | ||||
\(328\) | −9.61679 | + | 2.04411i | −0.530999 | + | 0.112867i | ||||
\(329\) | −1.20806 | + | 5.68346i | −0.0666023 | + | 0.313339i | ||||
\(330\) | −5.16045 | − | 3.42898i | −0.284073 | − | 0.188759i | ||||
\(331\) | 6.53075 | + | 5.88032i | 0.358963 | + | 0.323211i | 0.828804 | − | 0.559540i | \(-0.189022\pi\) |
−0.469841 | + | 0.882751i | \(0.655689\pi\) | |||||||
\(332\) | 0.394171 | − | 3.75029i | 0.0216330 | − | 0.205824i | ||||
\(333\) | 18.8520 | − | 13.0996i | 1.03308 | − | 0.717851i | ||||
\(334\) | −8.01757 | + | 0.842681i | −0.438702 | + | 0.0461094i | ||||
\(335\) | 13.5021 | + | 7.79547i | 0.737701 | + | 0.425912i | ||||
\(336\) | 0.322117 | + | 0.866287i | 0.0175729 | + | 0.0472598i | ||||
\(337\) | 1.37733 | + | 1.89573i | 0.0750280 | + | 0.103267i | 0.844882 | − | 0.534953i | \(-0.179671\pi\) |
−0.769854 | + | 0.638221i | \(0.779671\pi\) | |||||||
\(338\) | 9.02697 | − | 8.12792i | 0.491003 | − | 0.442101i | ||||
\(339\) | 20.6920 | − | 3.05441i | 1.12383 | − | 0.165893i | ||||
\(340\) | − | 4.86896i | − | 0.264057i | ||||||
\(341\) | −14.3273 | + | 13.8350i | −0.775865 | + | 0.749207i | ||||
\(342\) | −7.05075 | + | 20.2401i | −0.381261 | + | 1.09446i | ||||
\(343\) | 2.26156 | + | 6.96037i | 0.122113 | + | 0.375825i | ||||
\(344\) | −2.84693 | − | 3.16183i | −0.153496 | − | 0.170475i | ||||
\(345\) | −2.82144 | − | 5.68450i | −0.151901 | − | 0.306043i | ||||
\(346\) | 0.804232 | + | 1.39297i | 0.0432358 | + | 0.0748866i | ||||
\(347\) | −9.55161 | + | 16.5439i | −0.512757 | + | 0.888122i | 0.487133 | + | 0.873328i | \(0.338043\pi\) |
−0.999891 | + | 0.0147942i | \(0.995291\pi\) | |||||||
\(348\) | −0.569436 | + | 9.04334i | −0.0305250 | + | 0.484774i | ||||
\(349\) | 18.6175 | + | 13.5264i | 0.996572 | + | 0.724052i | 0.961350 | − | 0.275328i | \(-0.0887864\pi\) |
0.0352212 | + | 0.999380i | \(0.488786\pi\) | |||||||
\(350\) | 0.530685 | + | 0.0557772i | 0.0283663 | + | 0.00298142i | ||||
\(351\) | 1.57755 | + | 4.53240i | 0.0842032 | + | 0.241921i | ||||
\(352\) | 1.45496 | − | 3.26789i | 0.0775497 | − | 0.174179i | ||||
\(353\) | 19.9966 | + | 4.25042i | 1.06431 | + | 0.226227i | 0.706606 | − | 0.707607i | \(-0.250225\pi\) |
0.357707 | + | 0.933834i | \(0.383558\pi\) | |||||||
\(354\) | −13.8256 | + | 0.578736i | −0.734822 | + | 0.0307595i | ||||
\(355\) | −9.54070 | + | 4.24779i | −0.506368 | + | 0.225450i | ||||
\(356\) | −0.418688 | + | 1.28859i | −0.0221904 | + | 0.0682950i | ||||
\(357\) | 2.08507 | − | 3.98787i | 0.110354 | − | 0.211060i | ||||
\(358\) | −7.76155 | − | 17.4327i | −0.410211 | − | 0.921348i | ||||
\(359\) | −0.567143 | − | 2.66820i | −0.0299327 | − | 0.140822i | 0.960644 | − | 0.277783i | \(-0.0895997\pi\) |
−0.990576 | + | 0.136961i | \(0.956266\pi\) | |||||||
\(360\) | −2.56593 | − | 1.55435i | −0.135236 | − | 0.0819215i | ||||
\(361\) | 29.2717 | + | 13.0326i | 1.54061 | + | 0.685926i | ||||
\(362\) | 6.04314 | − | 6.71159i | 0.317621 | − | 0.352753i | ||||
\(363\) | −0.836726 | + | 2.99621i | −0.0439167 | + | 0.157260i | ||||
\(364\) | 0.289680 | − | 0.398710i | 0.0151833 | − | 0.0208981i | ||||
\(365\) | 1.71447 | + | 16.3121i | 0.0897394 | + | 0.853814i | ||||
\(366\) | 3.20502 | − | 3.87379i | 0.167529 | − | 0.202486i | ||||
\(367\) | −20.5506 | + | 11.8649i | −1.07273 | + | 0.619343i | −0.928927 | − | 0.370263i | \(-0.879268\pi\) |
−0.143806 | + | 0.989606i | \(0.545934\pi\) | |||||||
\(368\) | 2.96422 | − | 2.15363i | 0.154520 | − | 0.112266i | ||||
\(369\) | 27.1915 | − | 11.4269i | 1.41553 | − | 0.594860i | ||||
\(370\) | 7.27761 | − | 2.36464i | 0.378345 | − | 0.122932i | ||||
\(371\) | −1.09519 | −0.0568595 | ||||||||
\(372\) | −6.65099 | + | 6.98315i | −0.344838 | + | 0.362059i | ||||
\(373\) | 18.2194 | 0.943363 | 0.471681 | − | 0.881769i | \(-0.343647\pi\) | ||||
0.471681 | + | 0.881769i | \(0.343647\pi\) | |||||||
\(374\) | −16.5646 | + | 5.38216i | −0.856535 | + | 0.278305i | ||||
\(375\) | −1.46247 | + | 0.928002i | −0.0755215 | + | 0.0479218i | ||||
\(376\) | 8.80935 | − | 6.40037i | 0.454308 | − | 0.330074i | ||||
\(377\) | 4.18442 | − | 2.41587i | 0.215508 | − | 0.124424i | ||||
\(378\) | −1.43596 | − | 2.37190i | −0.0738580 | − | 0.121997i | ||||
\(379\) | −0.109845 | − | 1.04510i | −0.00564235 | − | 0.0536834i | 0.991338 | − | 0.131332i | \(-0.0419254\pi\) |
−0.996981 | + | 0.0776487i | \(0.975259\pi\) | |||||||
\(380\) | −4.19935 | + | 5.77991i | −0.215422 | + | 0.296503i | ||||
\(381\) | 4.65759 | + | 1.30069i | 0.238615 | + | 0.0666361i | ||||
\(382\) | −8.54035 | + | 9.48502i | −0.436962 | + | 0.485296i | ||||
\(383\) | −27.3267 | − | 12.1666i | −1.39633 | − | 0.621685i | −0.435844 | − | 0.900022i | \(-0.643550\pi\) |
−0.960483 | + | 0.278337i | \(0.910217\pi\) | |||||||
\(384\) | 0.637695 | − | 1.61039i | 0.0325422 | − | 0.0821797i | ||||
\(385\) | −0.396862 | − | 1.86709i | −0.0202259 | − | 0.0951555i | ||||
\(386\) | 11.1340 | + | 25.0074i | 0.566707 | + | 1.27284i | ||||
\(387\) | 10.1661 | + | 7.71817i | 0.516771 | + | 0.392337i | ||||
\(388\) | 2.56093 | − | 7.88172i | 0.130011 | − | 0.400134i | ||||
\(389\) | 7.39136 | − | 3.29084i | 0.374757 | − | 0.166852i | −0.210711 | − | 0.977548i | \(-0.567578\pi\) |
0.585467 | + | 0.810696i | \(0.300911\pi\) | |||||||
\(390\) | 0.0669043 | + | 1.59830i | 0.00338783 | + | 0.0809329i | ||||
\(391\) | −17.4499 | − | 3.70909i | −0.882480 | − | 0.187577i | ||||
\(392\) | 2.73134 | − | 6.13470i | 0.137954 | − | 0.309849i | ||||
\(393\) | 2.23770 | + | 2.82358i | 0.112877 | + | 0.142431i | ||||
\(394\) | −25.2593 | − | 2.65486i | −1.27255 | − | 0.133750i | ||||
\(395\) | 7.86526 | + | 5.71444i | 0.395744 | + | 0.287525i | ||||
\(396\) | −2.45164 | + | 10.4477i | −0.123199 | + | 0.525015i | ||||
\(397\) | 10.1240 | − | 17.5354i | 0.508111 | − | 0.880075i | −0.491845 | − | 0.870683i | \(-0.663677\pi\) |
0.999956 | − | 0.00939159i | \(-0.00298948\pi\) | |||||||
\(398\) | 3.08694 | + | 5.34674i | 0.154734 | + | 0.268008i | ||||
\(399\) | −5.91460 | + | 2.93565i | −0.296100 | + | 0.146966i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 1.74782 | + | 5.37923i | 0.0872819 | + | 0.268626i | 0.985166 | − | 0.171607i | \(-0.0548959\pi\) |
−0.897884 | + | 0.440233i | \(0.854896\pi\) | |||||||
\(402\) | 4.50487 | − | 26.6259i | 0.224683 | − | 1.32798i | ||||
\(403\) | 5.06416 | + | 0.893078i | 0.252264 | + | 0.0444874i | ||||
\(404\) | 13.9550i | 0.694288i | ||||||||
\(405\) | 8.43488 | + | 3.13892i | 0.419132 | + | 0.155974i | ||||
\(406\) | −2.07455 | + | 1.86793i | −0.102958 | + | 0.0927038i | ||||
\(407\) | −16.0894 | − | 22.1451i | −0.797521 | − | 1.09769i | ||||
\(408\) | −7.90453 | + | 2.93919i | −0.391332 | + | 0.145512i | ||||
\(409\) | 8.36292 | + | 4.82833i | 0.413520 | + | 0.238746i | 0.692301 | − | 0.721609i | \(-0.256597\pi\) |
−0.278781 | + | 0.960355i | \(0.589930\pi\) | |||||||
\(410\) | 9.77778 | − | 1.02769i | 0.482890 | − | 0.0507538i | ||||
\(411\) | 14.0278 | + | 14.3262i | 0.691940 | + | 0.706660i | ||||
\(412\) | −0.122212 | + | 1.16277i | −0.00602096 | + | 0.0572856i | ||||
\(413\) | −3.16810 | − | 2.85257i | −0.155892 | − | 0.140366i | ||||
\(414\) | −7.52533 | + | 8.01197i | −0.369850 | + | 0.393767i | ||||
\(415\) | −0.784024 | + | 3.68854i | −0.0384862 | + | 0.181063i | ||||
\(416\) | −0.903403 | + | 0.192024i | −0.0442930 | + | 0.00941476i | ||||
\(417\) | 1.94661 | + | 7.58322i | 0.0953261 | + | 0.371352i | ||||
\(418\) | 24.3057 | + | 7.89739i | 1.18883 | + | 0.386274i | ||||
\(419\) | 23.1426 | + | 7.51949i | 1.13059 | + | 0.367351i | 0.813800 | − | 0.581145i | \(-0.197395\pi\) |
0.316790 | + | 0.948496i | \(0.397395\pi\) | |||||||
\(420\) | −0.229801 | − | 0.895211i | −0.0112131 | − | 0.0436818i | ||||
\(421\) | 22.9900 | − | 4.88668i | 1.12047 | − | 0.238162i | 0.389801 | − | 0.920899i | \(-0.372544\pi\) |
0.730664 | + | 0.682737i | \(0.239210\pi\) | |||||||
\(422\) | 5.12126 | − | 24.0937i | 0.249299 | − | 1.17286i | ||||
\(423\) | −22.3645 | + | 23.8108i | −1.08740 | + | 1.15772i | ||||
\(424\) | 1.52525 | + | 1.37334i | 0.0740727 | + | 0.0666954i | ||||
\(425\) | −0.508945 | + | 4.84229i | −0.0246875 | + | 0.234886i | ||||
\(426\) | 12.6554 | + | 12.9247i | 0.613157 | + | 0.626201i | ||||
\(427\) | 1.54046 | − | 0.161909i | 0.0745481 | − | 0.00783532i | ||||
\(428\) | −4.50529 | − | 2.60113i | −0.217772 | − | 0.125730i | ||||
\(429\) | 5.36358 | − | 1.99437i | 0.258956 | − | 0.0962893i | ||||
\(430\) | 2.50083 | + | 3.44210i | 0.120601 | + | 0.165993i | ||||
\(431\) | 6.09708 | − | 5.48983i | 0.293686 | − | 0.264436i | −0.509095 | − | 0.860711i | \(-0.670020\pi\) |
0.802781 | + | 0.596275i | \(0.203353\pi\) | |||||||
\(432\) | −0.974467 | + | 5.10396i | −0.0468841 | + | 0.245564i | ||||
\(433\) | 8.78818i | 0.422333i | 0.977450 | + | 0.211166i | \(0.0677262\pi\) | ||||
−0.977450 | + | 0.211166i | \(0.932274\pi\) | |||||||
\(434\) | −2.96920 | + | 0.103613i | −0.142526 | + | 0.00497357i | ||||
\(435\) | 1.51160 | − | 8.93427i | 0.0724758 | − | 0.428366i | ||||
\(436\) | 4.04029 | + | 12.4347i | 0.193495 | + | 0.595515i | ||||
\(437\) | 17.5157 | + | 19.4531i | 0.837887 | + | 0.930568i | ||||
\(438\) | 25.4469 | − | 12.6303i | 1.21590 | − | 0.603499i | ||||
\(439\) | 3.55757 | + | 6.16189i | 0.169794 | + | 0.294091i | 0.938347 | − | 0.345694i | \(-0.112357\pi\) |
−0.768554 | + | 0.639785i | \(0.779023\pi\) | |||||||
\(440\) | −1.78858 | + | 3.09791i | −0.0852671 | + | 0.147687i | ||||
\(441\) | −4.60237 | + | 19.6130i | −0.219160 | + | 0.933954i | ||||
\(442\) | 3.63807 | + | 2.64321i | 0.173045 | + | 0.125725i | ||||
\(443\) | −10.6857 | − | 1.12311i | −0.507691 | − | 0.0533604i | −0.152779 | − | 0.988260i | \(-0.548822\pi\) |
−0.354912 | + | 0.934900i | \(0.615489\pi\) | |||||||
\(444\) | −8.23208 | − | 10.3874i | −0.390677 | − | 0.492965i | ||||
\(445\) | 0.551088 | − | 1.23776i | 0.0261241 | − | 0.0586756i | ||||
\(446\) | 13.1197 | + | 2.78868i | 0.621237 | + | 0.132048i | ||||
\(447\) | 1.29761 | + | 30.9991i | 0.0613750 | + | 1.46621i | ||||
\(448\) | 0.487475 | − | 0.217038i | 0.0230310 | − | 0.0102541i | ||||
\(449\) | 3.51712 | − | 10.8246i | 0.165983 | − | 0.510843i | −0.833124 | − | 0.553086i | \(-0.813450\pi\) |
0.999107 | + | 0.0422426i | \(0.0134503\pi\) | |||||||
\(450\) | 2.38940 | + | 1.81405i | 0.112637 | + | 0.0855151i | ||||
\(451\) | −14.3046 | − | 32.1288i | −0.673579 | − | 1.51288i | ||||
\(452\) | −2.51074 | − | 11.8121i | −0.118095 | − | 0.555594i | ||||
\(453\) | 11.4488 | − | 28.9119i | 0.537911 | − | 1.35840i | ||||
\(454\) | 3.36410 | + | 1.49779i | 0.157885 | + | 0.0702949i | ||||
\(455\) | −0.329769 | + | 0.366246i | −0.0154598 | + | 0.0171699i | ||||
\(456\) | 11.9184 | + | 3.32834i | 0.558129 | + | 0.155864i | ||||
\(457\) | 5.07938 | − | 6.99117i | 0.237603 | − | 0.327033i | −0.673518 | − | 0.739171i | \(-0.735218\pi\) |
0.911122 | + | 0.412138i | \(0.135218\pi\) | |||||||
\(458\) | 1.13720 | + | 10.8198i | 0.0531381 | + | 0.505575i | ||||
\(459\) | 21.6427 | − | 13.1026i | 1.01019 | − | 0.611577i | ||||
\(460\) | −3.17309 | + | 1.83199i | −0.147946 | + | 0.0854168i | ||||
\(461\) | −25.5208 | + | 18.5419i | −1.18862 | + | 0.863583i | −0.993118 | − | 0.117120i | \(-0.962634\pi\) |
−0.195503 | + | 0.980703i | \(0.562634\pi\) | |||||||
\(462\) | −2.79156 | + | 1.77137i | −0.129875 | + | 0.0824116i | ||||
\(463\) | 8.93121 | − | 2.90193i | 0.415069 | − | 0.134864i | −0.0940357 | − | 0.995569i | \(-0.529977\pi\) |
0.509104 | + | 0.860705i | \(0.329977\pi\) | |||||||
\(464\) | 5.23151 | 0.242867 | ||||||||
\(465\) | 7.34449 | − | 6.24967i | 0.340593 | − | 0.289822i | ||||
\(466\) | −24.6293 | −1.14093 | ||||||||
\(467\) | 3.38397 | − | 1.09952i | 0.156591 | − | 0.0508796i | −0.229672 | − | 0.973268i | \(-0.573765\pi\) |
0.386264 | + | 0.922388i | \(0.373765\pi\) | |||||||
\(468\) | 2.55437 | − | 1.07344i | 0.118076 | − | 0.0496199i | ||||
\(469\) | 6.73057 | − | 4.89005i | 0.310789 | − | 0.225801i | ||||
\(470\) | −9.43011 | + | 5.44448i | −0.434979 | + | 0.251135i | ||||
\(471\) | 17.1134 | − | 20.6843i | 0.788542 | − | 0.953081i | ||||
\(472\) | 0.835098 | + | 7.94543i | 0.0384385 | + | 0.365718i | ||||
\(473\) | 8.94586 | − | 12.3129i | 0.411331 | − | 0.566148i | ||||
\(474\) | 4.52919 | − | 16.2184i | 0.208033 | − | 0.744938i | ||||
\(475\) | 4.78051 | − | 5.30929i | 0.219345 | − | 0.243607i | ||||
\(476\) | −2.37350 | − | 1.05675i | −0.108789 | − | 0.0484360i | ||||
\(477\) | −5.26638 | − | 3.19019i | −0.241131 | − | 0.146069i | ||||
\(478\) | −0.976777 | − | 4.59537i | −0.0446767 | − | 0.210188i | ||||
\(479\) | 8.92492 | + | 20.0457i | 0.407790 | + | 0.915911i | 0.994364 | + | 0.106016i | \(0.0338094\pi\) |
−0.586575 | + | 0.809895i | \(0.699524\pi\) | |||||||
\(480\) | −0.802533 | + | 1.53491i | −0.0366305 | + | 0.0700586i | ||||
\(481\) | −2.18395 | + | 6.72150i | −0.0995794 | + | 0.306474i | ||||
\(482\) | −13.9524 | + | 6.21201i | −0.635515 | + | 0.282949i | ||||
\(483\) | −3.38341 | + | 0.141629i | −0.153951 | + | 0.00644433i | ||||
\(484\) | 1.75680 | + | 0.373419i | 0.0798545 | + | 0.0169736i | ||||
\(485\) | −3.37076 | + | 7.57085i | −0.153058 | + | 0.343775i | ||||
\(486\) | 0.00409761 | − | 15.5885i | 0.000185871 | − | 0.707107i | ||||
\(487\) | −30.6427 | − | 3.22068i | −1.38855 | − | 0.145943i | −0.619435 | − | 0.785048i | \(-0.712638\pi\) |
−0.769119 | + | 0.639105i | \(0.779305\pi\) | |||||||
\(488\) | −2.34840 | − | 1.70621i | −0.106307 | − | 0.0772365i | ||||
\(489\) | −0.880399 | + | 13.9818i | −0.0398130 | + | 0.632280i | ||||
\(490\) | −3.35763 | + | 5.81559i | −0.151682 | + | 0.262721i | ||||
\(491\) | 16.9919 | + | 29.4308i | 0.766834 | + | 1.32820i | 0.939272 | + | 0.343175i | \(0.111502\pi\) |
−0.172438 | + | 0.985020i | \(0.555164\pi\) | |||||||
\(492\) | −7.57084 | − | 15.2534i | −0.341320 | − | 0.687675i | ||||
\(493\) | −17.0441 | − | 18.9294i | −0.767629 | − | 0.852538i | ||||
\(494\) | −2.03902 | − | 6.27547i | −0.0917401 | − | 0.282347i | ||||
\(495\) | 3.53029 | − | 10.1342i | 0.158675 | − | 0.455497i | ||||
\(496\) | 4.26507 | + | 3.57900i | 0.191507 | + | 0.160702i | ||||
\(497\) | 5.57279i | 0.249974i | ||||||||
\(498\) | 6.46145 | − | 0.953797i | 0.289545 | − | 0.0427407i | ||||
\(499\) | 13.0651 | − | 11.7639i | 0.584876 | − | 0.526624i | −0.322706 | − | 0.946499i | \(-0.604593\pi\) |
0.907582 | + | 0.419875i | \(0.137926\pi\) | |||||||
\(500\) | 0.587785 | + | 0.809017i | 0.0262866 | + | 0.0361803i | ||||
\(501\) | −4.86654 | − | 13.0878i | −0.217421 | − | 0.584722i | ||||
\(502\) | −9.82800 | − | 5.67420i | −0.438645 | − | 0.253252i | ||||
\(503\) | 7.96026 | − | 0.836657i | 0.354930 | − | 0.0373047i | 0.0746143 | − | 0.997212i | \(-0.476227\pi\) |
0.280316 | + | 0.959908i | \(0.409561\pi\) | |||||||
\(504\) | −1.31461 | + | 0.913473i | −0.0585574 | + | 0.0406893i | ||||
\(505\) | 1.45870 | − | 13.8786i | 0.0649112 | − | 0.617588i | ||||
\(506\) | 9.74011 | + | 8.77003i | 0.433001 | + | 0.389875i | ||||
\(507\) | 17.5234 | + | 11.6438i | 0.778241 | + | 0.517121i | ||||
\(508\) | 0.580478 | − | 2.73094i | 0.0257546 | − | 0.121166i | ||||
\(509\) | 10.8782 | − | 2.31224i | 0.482169 | − | 0.102488i | 0.0395867 | − | 0.999216i | \(-0.487396\pi\) |
0.442582 | + | 0.896728i | \(0.354063\pi\) | |||||||
\(510\) | 8.16846 | − | 2.09685i | 0.361705 | − | 0.0928499i | ||||
\(511\) | 8.32384 | + | 2.70458i | 0.368225 | + | 0.119644i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −36.9925 | − | 3.11222i | −1.63326 | − | 0.137408i | ||||
\(514\) | −18.7315 | + | 3.98151i | −0.826213 | + | 0.175617i | ||||
\(515\) | 0.243085 | − | 1.14363i | 0.0107116 | − | 0.0503942i | ||||
\(516\) | 4.07843 | − | 6.13783i | 0.179543 | − | 0.270203i | ||||
\(517\) | 28.9466 | + | 26.0636i | 1.27307 | + | 1.14628i | ||||
\(518\) | 0.426815 | − | 4.06087i | 0.0187532 | − | 0.178424i | ||||
\(519\) | −1.99058 | + | 1.94912i | −0.0873768 | + | 0.0855567i | ||||
\(520\) | 0.918526 | − | 0.0965410i | 0.0402800 | − | 0.00423360i | ||||
\(521\) | 35.2408 | + | 20.3463i | 1.54393 | + | 0.891388i | 0.998585 | + | 0.0531755i | \(0.0169343\pi\) |
0.545344 | + | 0.838212i | \(0.316399\pi\) | |||||||
\(522\) | −15.4169 | + | 2.93924i | −0.674777 | + | 0.128647i | ||||
\(523\) | 12.0602 | + | 16.5995i | 0.527357 | + | 0.725845i | 0.986725 | − | 0.162401i | \(-0.0519239\pi\) |
−0.459367 | + | 0.888246i | \(0.651924\pi\) | |||||||
\(524\) | 1.54578 | − | 1.39183i | 0.0675279 | − | 0.0608024i | ||||
\(525\) | 0.134967 | + | 0.914328i | 0.00589045 | + | 0.0399045i | ||||
\(526\) | 6.92508i | 0.301948i | ||||||||
\(527\) | −0.945426 | − | 27.0928i | −0.0411834 | − | 1.18018i | ||||
\(528\) | 6.10900 | + | 1.03359i | 0.265860 | + | 0.0449812i | ||||
\(529\) | −2.95893 | − | 9.10665i | −0.128649 | − | 0.395941i | ||||
\(530\) | −1.37334 | − | 1.52525i | −0.0596542 | − | 0.0662527i | ||||
\(531\) | −6.92498 | − | 22.9454i | −0.300519 | − | 0.995744i | ||||
\(532\) | 1.90614 | + | 3.30154i | 0.0826417 | + | 0.143140i | ||||
\(533\) | −4.54018 | + | 7.86382i | −0.196657 | + | 0.340620i | ||||
\(534\) | −2.34212 | − | 0.147477i | −0.101353 | − | 0.00638197i | ||||
\(535\) | 4.20872 | + | 3.05781i | 0.181959 | + | 0.132201i | ||||
\(536\) | −15.5055 | − | 1.62970i | −0.669737 | − | 0.0703922i | ||||
\(537\) | 25.9036 | − | 20.5287i | 1.11782 | − | 0.885880i | ||||
\(538\) | −2.44869 | + | 5.49985i | −0.105571 | + | 0.237116i | ||||
\(539\) | 23.4966 | + | 4.99436i | 1.01207 | + | 0.215122i | ||||
\(540\) | 1.50264 | − | 4.97414i | 0.0646632 | − | 0.214053i | ||||
\(541\) | −20.1809 | + | 8.98512i | −0.867646 | + | 0.386301i | −0.791772 | − | 0.610817i | \(-0.790841\pi\) |
−0.0758735 | + | 0.997117i | \(0.524175\pi\) | |||||||
\(542\) | −6.14761 | + | 18.9204i | −0.264062 | + | 0.812701i | ||||
\(543\) | 13.8623 | + | 7.24794i | 0.594887 | + | 0.311039i | ||||
\(544\) | 1.98039 | + | 4.44802i | 0.0849084 | + | 0.190707i | ||||
\(545\) | −2.71837 | − | 12.7889i | −0.116442 | − | 0.547818i | ||||
\(546\) | 0.793651 | + | 0.314277i | 0.0339651 | + | 0.0134498i | ||||
\(547\) | 7.81794 | + | 3.48077i | 0.334271 | + | 0.148827i | 0.567007 | − | 0.823713i | \(-0.308101\pi\) |
−0.232736 | + | 0.972540i | \(0.574768\pi\) | |||||||
\(548\) | 7.74594 | − | 8.60273i | 0.330890 | − | 0.367491i | ||||
\(549\) | 7.87914 | + | 3.70866i | 0.336274 | + | 0.158282i | ||||
\(550\) | 2.10260 | − | 2.89398i | 0.0896552 | − | 0.123400i | ||||
\(551\) | 3.90683 | + | 37.1710i | 0.166437 | + | 1.58354i | ||||
\(552\) | 4.88961 | + | 4.04547i | 0.208116 | + | 0.172187i | ||||
\(553\) | 4.49271 | − | 2.59387i | 0.191049 | − | 0.110302i | ||||
\(554\) | 11.1933 | − | 8.13237i | 0.475556 | − | 0.345511i | ||||
\(555\) | 7.10120 | + | 11.1910i | 0.301429 | + | 0.475032i | ||||
\(556\) | 4.29889 | − | 1.39679i | 0.182314 | − | 0.0592373i | ||||
\(557\) | 27.3110 | 1.15721 | 0.578603 | − | 0.815610i | \(-0.303598\pi\) | ||||
0.578603 | + | 0.815610i | \(0.303598\pi\) | |||||||
\(558\) | −14.5796 | − | 8.15076i | −0.617204 | − | 0.345049i | ||||
\(559\) | −3.92955 | −0.166202 | ||||||||
\(560\) | −0.507491 | + | 0.164894i | −0.0214454 | + | 0.00696804i | ||||
\(561\) | −16.1631 | − | 25.4719i | −0.682405 | − | 1.07542i | ||||
\(562\) | −3.61339 | + | 2.62529i | −0.152422 | + | 0.110741i | ||||
\(563\) | −16.7486 | + | 9.66979i | −0.705868 | + | 0.407533i | −0.809529 | − | 0.587080i | \(-0.800277\pi\) |
0.103661 | + | 0.994613i | \(0.466944\pi\) | |||||||
\(564\) | 14.5314 | + | 12.0227i | 0.611883 | + | 0.506248i | ||||
\(565\) | 1.26228 | + | 12.0098i | 0.0531046 | + | 0.505257i | ||||
\(566\) | −7.61475 | + | 10.4808i | −0.320072 | + | 0.440541i | ||||
\(567\) | 3.36083 | − | 3.43053i | 0.141142 | − | 0.144069i | ||||
\(568\) | 6.98813 | − | 7.76111i | 0.293216 | − | 0.325649i | ||||
\(569\) | −22.0126 | − | 9.80062i | −0.922814 | − | 0.410863i | −0.110362 | − | 0.993891i | \(-0.535201\pi\) |
−0.812452 | + | 0.583028i | \(0.801868\pi\) | |||||||
\(570\) | −11.5052 | − | 4.55592i | −0.481899 | − | 0.190827i | ||||
\(571\) | 9.43585 | + | 44.3922i | 0.394878 | + | 1.85776i | 0.503966 | + | 0.863724i | \(0.331874\pi\) |
−0.109087 | + | 0.994032i | \(0.534793\pi\) | |||||||
\(572\) | −1.34378 | − | 3.01818i | −0.0561863 | − | 0.126196i | ||||
\(573\) | −19.5906 | − | 10.2430i | −0.818407 | − | 0.427908i | ||||
\(574\) | 1.62118 | − | 4.98947i | 0.0676666 | − | 0.208256i | ||||
\(575\) | 3.34721 | − | 1.49027i | 0.139588 | − | 0.0621487i | ||||
\(576\) | 2.97630 | + | 0.376313i | 0.124013 | + | 0.0156797i | ||||
\(577\) | −22.8442 | − | 4.85569i | −0.951017 | − | 0.202145i | −0.293817 | − | 0.955862i | \(-0.594926\pi\) |
−0.657199 | + | 0.753717i | \(0.728259\pi\) | |||||||
\(578\) | 2.72791 | − | 6.12698i | 0.113466 | − | 0.254849i | ||||
\(579\) | −37.1590 | + | 29.4487i | −1.54427 | + | 1.22384i | ||||
\(580\) | −5.20285 | − | 0.546842i | −0.216037 | − | 0.0227064i | ||||
\(581\) | 1.62791 | + | 1.18274i | 0.0675370 | + | 0.0490685i | ||||
\(582\) | 14.3257 | + | 0.902053i | 0.593820 | + | 0.0373913i | ||||
\(583\) | −3.67093 | + | 6.35823i | −0.152034 | + | 0.263331i | ||||
\(584\) | −8.20097 | − | 14.2045i | −0.339359 | − | 0.587786i | ||||
\(585\) | −2.65258 | + | 0.800558i | −0.109671 | + | 0.0330990i | ||||
\(586\) | −1.94342 | − | 2.15838i | −0.0802818 | − | 0.0891620i | ||||
\(587\) | −5.48446 | − | 16.8794i | −0.226368 | − | 0.696688i | −0.998150 | − | 0.0608012i | \(-0.980634\pi\) |
0.771782 | − | 0.635887i | \(-0.219366\pi\) | |||||||
\(588\) | 11.4682 | + | 1.94032i | 0.472940 | + | 0.0800174i | ||||
\(589\) | −22.2444 | + | 32.9770i | −0.916566 | + | 1.35879i | ||||
\(590\) | − | 7.98920i | − | 0.328910i | ||||||
\(591\) | −6.42412 | − | 43.5199i | −0.264253 | − | 1.79017i | ||||
\(592\) | −5.68665 | + | 5.12028i | −0.233720 | + | 0.210442i | ||||
\(593\) | 9.94222 | + | 13.6843i | 0.408278 | + | 0.561947i | 0.962797 | − | 0.270224i | \(-0.0870979\pi\) |
−0.554519 | + | 0.832171i | \(0.687098\pi\) | |||||||
\(594\) | −18.5834 | + | 0.386335i | −0.762488 | + | 0.0158515i | ||||
\(595\) | 2.25004 | + | 1.29906i | 0.0922425 | + | 0.0532562i | ||||
\(596\) | 17.8149 | − | 1.87242i | 0.729725 | − | 0.0766972i | ||||
\(597\) | −7.64059 | + | 7.48143i | −0.312709 | + | 0.306195i | ||||
\(598\) | 0.353724 | − | 3.36545i | 0.0144648 | − | 0.137624i | ||||
\(599\) | −28.1265 | − | 25.3252i | −1.14922 | − | 1.03476i | −0.998936 | − | 0.0461180i | \(-0.985315\pi\) |
−0.150283 | − | 0.988643i | \(-0.548018\pi\) | |||||||
\(600\) | 0.958578 | − | 1.44261i | 0.0391338 | − | 0.0588944i | ||||
\(601\) | −4.58335 | + | 21.5630i | −0.186959 | + | 0.879572i | 0.780226 | + | 0.625498i | \(0.215104\pi\) |
−0.967185 | + | 0.254074i | \(0.918229\pi\) | |||||||
\(602\) | 2.22071 | − | 0.472027i | 0.0905094 | − | 0.0192384i | ||||
\(603\) | 46.6092 | − | 3.90895i | 1.89807 | − | 0.159185i | ||||
\(604\) | −17.0747 | − | 5.54791i | −0.694760 | − | 0.225741i | ||||
\(605\) | −1.70814 | − | 0.555009i | −0.0694459 | − | 0.0225643i | ||||
\(606\) | −23.4118 | + | 6.00980i | −0.951037 | + | 0.244132i | ||||
\(607\) | 7.08341 | − | 1.50563i | 0.287507 | − | 0.0611115i | −0.0619007 | − | 0.998082i | \(-0.519716\pi\) |
0.349408 | + | 0.936971i | \(0.386383\pi\) | |||||||
\(608\) | 1.48540 | − | 6.98823i | 0.0602407 | − | 0.283410i | ||||
\(609\) | −4.02716 | − | 2.67594i | −0.163189 | − | 0.108435i | ||||
\(610\) | 2.15718 | + | 1.94234i | 0.0873418 | + | 0.0786429i | ||||
\(611\) | 1.05123 | − | 10.0018i | 0.0425282 | − | 0.404629i | ||||
\(612\) | −8.33509 | − | 11.9953i | −0.336926 | − | 0.484882i | ||||
\(613\) | −9.45474 | + | 0.993733i | −0.381873 | + | 0.0401365i | −0.293521 | − | 0.955953i | \(-0.594827\pi\) |
−0.0883527 | + | 0.996089i | \(0.528160\pi\) | |||||||
\(614\) | −14.7615 | − | 8.52255i | −0.595725 | − | 0.343942i | ||||
\(615\) | 5.93496 | + | 15.9612i | 0.239321 | + | 0.643617i | ||||
\(616\) | 1.12196 | + | 1.54425i | 0.0452052 | + | 0.0622196i | ||||
\(617\) | 8.53848 | − | 7.68808i | 0.343746 | − | 0.309511i | −0.479116 | − | 0.877752i | \(-0.659043\pi\) |
0.822862 | + | 0.568241i | \(0.192376\pi\) | |||||||
\(618\) | −2.00336 | + | 0.295723i | −0.0805871 | + | 0.0118957i | ||||
\(619\) | − | 10.9887i | − | 0.441672i | −0.975311 | − | 0.220836i | \(-0.929121\pi\) | ||
0.975311 | − | 0.220836i | \(-0.0708785\pi\) | |||||||
\(620\) | −3.86759 | − | 4.00521i | −0.155326 | − | 0.160853i | ||||
\(621\) | −16.6822 | − | 9.17453i | −0.669433 | − | 0.368161i | ||||
\(622\) | 2.69886 | + | 8.30625i | 0.108215 | + | 0.333050i | ||||
\(623\) | −0.483772 | − | 0.537283i | −0.0193819 | − | 0.0215258i | ||||
\(624\) | −0.711206 | − | 1.43290i | −0.0284710 | − | 0.0573621i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −14.7269 | + | 25.5077i | −0.588605 | + | 1.01949i | ||||
\(627\) | −2.78175 | + | 44.1776i | −0.111092 | + | 1.76428i | ||||
\(628\) | −12.5394 | − | 9.11040i | −0.500376 | − | 0.363544i | ||||
\(629\) | 37.0539 | + | 3.89452i | 1.47743 | + | 0.155285i | ||||
\(630\) | 1.40289 | − | 0.771055i | 0.0558926 | − | 0.0307196i | ||||
\(631\) | 1.81735 | − | 4.08185i | 0.0723477 | − | 0.162496i | −0.873751 | − | 0.486373i | \(-0.838320\pi\) |
0.946099 | + | 0.323877i | \(0.104986\pi\) | |||||||
\(632\) | −9.50954 | − | 2.02132i | −0.378269 | − | 0.0804036i | ||||
\(633\) | 42.6264 | − | 1.78433i | 1.69425 | − | 0.0709208i | ||||
\(634\) | 18.5444 | − | 8.25651i | 0.736494 | − | 0.327908i | ||||
\(635\) | −0.862759 | + | 2.65530i | −0.0342375 | + | 0.105372i | ||||
\(636\) | −1.64714 | + | 3.15029i | −0.0653134 | + | 0.124917i | ||||
\(637\) | −2.52263 | − | 5.66592i | −0.0999502 | − | 0.224492i | ||||
\(638\) | 3.89085 | + | 18.3050i | 0.154040 | + | 0.724702i | ||||
\(639\) | −16.2330 | + | 26.7975i | −0.642168 | + | 1.06009i | ||||
\(640\) | 0.913545 | + | 0.406737i | 0.0361111 | + | 0.0160777i | ||||
\(641\) | 7.79429 | − | 8.65644i | 0.307856 | − | 0.341909i | −0.569286 | − | 0.822139i | \(-0.692780\pi\) |
0.877142 | + | 0.480231i | \(0.159447\pi\) | |||||||
\(642\) | 2.42358 | − | 8.67853i | 0.0956512 | − | 0.342514i | ||||
\(643\) | −14.3459 | + | 19.7454i | −0.565746 | + | 0.778683i | −0.992043 | − | 0.125901i | \(-0.959818\pi\) |
0.426297 | + | 0.904583i | \(0.359818\pi\) | |||||||
\(644\) | 0.204366 | + | 1.94441i | 0.00805316 | + | 0.0766207i | ||||
\(645\) | −4.69766 | + | 5.67789i | −0.184970 | + | 0.223567i | ||||
\(646\) | −30.1252 | + | 17.3928i | −1.18526 | + | 0.684311i | ||||
\(647\) | −33.9661 | + | 24.6778i | −1.33534 | + | 0.970184i | −0.335743 | + | 0.941954i | \(0.608987\pi\) |
−0.999601 | + | 0.0282304i | \(0.991013\pi\) | |||||||
\(648\) | −8.98236 | + | 0.563226i | −0.352860 | + | 0.0221256i | ||||
\(649\) | −27.1799 | + | 8.83127i | −1.06690 | + | 0.346658i | ||||
\(650\) | −0.923585 | −0.0362260 | ||||||||
\(651\) | −1.45253 | − | 4.93667i | −0.0569290 | − | 0.193483i | ||||
\(652\) | 8.08839 | 0.316766 | ||||||||
\(653\) | 28.8170 | − | 9.36320i | 1.12769 | − | 0.366410i | 0.314995 | − | 0.949093i | \(-0.397997\pi\) |
0.812700 | + | 0.582683i | \(0.197997\pi\) | |||||||
\(654\) | −19.1212 | + | 12.1333i | −0.747700 | + | 0.474450i | ||||
\(655\) | −1.68280 | + | 1.22263i | −0.0657525 | + | 0.0477720i | ||||
\(656\) | −8.51445 | + | 4.91582i | −0.332433 | + | 0.191930i | ||||
\(657\) | 32.1482 | + | 37.2519i | 1.25422 | + | 1.45334i | ||||
\(658\) | 0.607356 | + | 5.77860i | 0.0236772 | + | 0.225273i | ||||
\(659\) | 9.40858 | − | 12.9498i | 0.366506 | − | 0.504453i | −0.585441 | − | 0.810715i | \(-0.699079\pi\) |
0.951947 | + | 0.306263i | \(0.0990786\pi\) | |||||||
\(660\) | −5.96749 | − | 1.66649i | −0.232284 | − | 0.0648681i | ||||
\(661\) | 21.8829 | − | 24.3034i | 0.851146 | − | 0.945293i | −0.147899 | − | 0.989003i | \(-0.547251\pi\) |
0.999044 | + | 0.0437095i | \(0.0139176\pi\) | |||||||
\(662\) | 8.02823 | + | 3.57440i | 0.312026 | + | 0.138923i | ||||
\(663\) | −2.86765 | + | 7.24175i | −0.111370 | + | 0.281246i | ||||
\(664\) | −0.784024 | − | 3.68854i | −0.0304260 | − | 0.143143i | ||||
\(665\) | −1.55060 | − | 3.48269i | −0.0601295 | − | 0.135053i | ||||
\(666\) | 13.8813 | − | 18.2840i | 0.537891 | − | 0.708491i | ||||
\(667\) | −5.92328 | + | 18.2300i | −0.229350 | + | 0.705867i | ||||
\(668\) | −7.36476 | + | 3.27900i | −0.284951 | + | 0.126868i | ||||
\(669\) | 0.971622 | + | 23.2114i | 0.0375651 | + | 0.897404i | ||||
\(670\) | 15.2502 | + | 3.24154i | 0.589168 | + | 0.125231i | ||||
\(671\) | 4.22343 | − | 9.48597i | 0.163044 | − | 0.366202i | ||||
\(672\) | 0.574049 | + | 0.724348i | 0.0221444 | + | 0.0279423i | ||||
\(673\) | −45.5304 | − | 4.78544i | −1.75507 | − | 0.184465i | −0.828348 | − | 0.560215i | \(-0.810719\pi\) |
−0.926721 | + | 0.375749i | \(0.877385\pi\) | |||||||
\(674\) | 1.89573 | + | 1.37733i | 0.0730210 | + | 0.0530528i | ||||
\(675\) | −2.01435 | + | 4.78982i | −0.0775322 | + | 0.184360i | ||||
\(676\) | 6.07350 | − | 10.5196i | 0.233596 | − | 0.404600i | ||||
\(677\) | −9.16902 | − | 15.8812i | −0.352394 | − | 0.610364i | 0.634274 | − | 0.773108i | \(-0.281299\pi\) |
−0.986668 | + | 0.162744i | \(0.947966\pi\) | |||||||
\(678\) | 18.7354 | − | 9.29909i | 0.719527 | − | 0.357129i | ||||
\(679\) | 2.95902 | + | 3.28632i | 0.113557 | + | 0.126118i | ||||
\(680\) | −1.50459 | − | 4.63066i | −0.0576985 | − | 0.177578i | ||||
\(681\) | −1.06402 | + | 6.28884i | −0.0407733 | + | 0.240989i | ||||
\(682\) | −9.35079 | + | 17.5852i | −0.358060 | + | 0.673373i | ||||
\(683\) | 3.32817i | 0.127349i | 0.997971 | + | 0.0636745i | \(0.0202819\pi\) | ||||
−0.997971 | + | 0.0636745i | \(0.979718\pi\) | |||||||
\(684\) | −0.451113 | + | 21.4283i | −0.0172488 | + | 0.819332i | ||||
\(685\) | −8.60273 | + | 7.74594i | −0.328694 | + | 0.295957i | ||||
\(686\) | 4.30175 | + | 5.92085i | 0.164242 | + | 0.226059i | ||||
\(687\) | −17.6621 | + | 6.56744i | −0.673853 | + | 0.250563i | ||||
\(688\) | −3.68465 | − | 2.12733i | −0.140476 | − | 0.0811038i | ||||
\(689\) | 1.88521 | − | 0.198143i | 0.0718207 | − | 0.00754866i | ||||
\(690\) | −4.43996 | − | 4.53441i | −0.169026 | − | 0.172622i | ||||
\(691\) | −1.35809 | + | 12.9214i | −0.0516643 | + | 0.491553i | 0.937842 | + | 0.347063i | \(0.112821\pi\) |
−0.989506 | + | 0.144490i | \(0.953846\pi\) | |||||||
\(692\) | 1.19532 | + | 1.07627i | 0.0454393 | + | 0.0409137i | ||||
\(693\) | −4.17395 | − | 3.92043i | −0.158555 | − | 0.148925i | ||||
\(694\) | −3.97178 | + | 18.6858i | −0.150767 | + | 0.709302i | ||||
\(695\) | −4.42134 | + | 0.939786i | −0.167711 | + | 0.0356481i | ||||
\(696\) | 2.25298 | + | 8.77669i | 0.0853989 | + | 0.332680i | ||||
\(697\) | 45.5270 | + | 14.7926i | 1.72446 | + | 0.560310i | ||||
\(698\) | 21.8862 | + | 7.11125i | 0.828404 | + | 0.269165i | ||||
\(699\) | −10.6068 | − | 41.3196i | −0.401184 | − | 1.56285i | ||||
\(700\) | 0.521947 | − | 0.110943i | 0.0197277 | − | 0.00419326i | ||||
\(701\) | 5.32543 | − | 25.0542i | 0.201139 | − | 0.946283i | −0.755532 | − | 0.655112i | \(-0.772622\pi\) |
0.956671 | − | 0.291172i | \(-0.0940451\pi\) | |||||||
\(702\) | 2.90092 | + | 3.82308i | 0.109488 | + | 0.144293i | ||||
\(703\) | −40.6274 | − | 36.5811i | −1.53229 | − | 1.37968i | ||||
\(704\) | 0.373915 | − | 3.55756i | 0.0140924 | − | 0.134081i | ||||
\(705\) | −13.1951 | − | 13.4758i | −0.496956 | − | 0.507528i | ||||
\(706\) | 20.3314 | − | 2.13692i | 0.765182 | − | 0.0804239i | ||||
\(707\) | −6.44887 | − | 3.72325i | −0.242535 | − | 0.140027i | ||||
\(708\) | −12.9701 | + | 4.82275i | −0.487445 | + | 0.181250i | ||||
\(709\) | −11.3362 | − | 15.6030i | −0.425741 | − | 0.585983i | 0.541228 | − | 0.840876i | \(-0.317960\pi\) |
−0.966969 | + | 0.254893i | \(0.917960\pi\) | |||||||
\(710\) | −7.76111 | + | 6.98813i | −0.291269 | + | 0.262260i | ||||
\(711\) | 29.1595 | + | 0.613872i | 1.09357 | + | 0.0230220i | ||||
\(712\) | 1.35490i | 0.0507771i | ||||||||
\(713\) | −17.3006 | + | 10.8100i | −0.647911 | + | 0.404838i | ||||
\(714\) | 0.750705 | − | 4.43701i | 0.0280944 | − | 0.166051i | ||||
\(715\) | 1.02093 | + | 3.14211i | 0.0381807 | + | 0.117508i | ||||
\(716\) | −12.7687 | − | 14.1811i | −0.477188 | − | 0.529971i | ||||
\(717\) | 7.28881 | − | 3.61772i | 0.272206 | − | 0.135106i | ||||
\(718\) | −1.36390 | − | 2.36235i | −0.0509004 | − | 0.0881621i | ||||
\(719\) | −15.2004 | + | 26.3279i | −0.566880 | + | 0.981864i | 0.429992 | + | 0.902833i | \(0.358516\pi\) |
−0.996872 | + | 0.0790319i | \(0.974817\pi\) | |||||||
\(720\) | −2.92066 | − | 0.685360i | −0.108847 | − | 0.0255418i | ||||
\(721\) | −0.504731 | − | 0.366708i | −0.0187972 | − | 0.0136569i | ||||
\(722\) | 31.8663 | + | 3.34928i | 1.18594 | + | 0.124647i | ||||
\(723\) | −16.4303 | − | 20.7321i | −0.611050 | − | 0.771036i | ||||
\(724\) | 3.67337 | − | 8.25054i | 0.136520 | − | 0.306629i | ||||
\(725\) | 5.11719 | + | 1.08769i | 0.190048 | + | 0.0403959i | ||||
\(726\) | 0.130105 | + | 3.10812i | 0.00482866 | + | 0.115353i | ||||
\(727\) | −5.87174 | + | 2.61427i | −0.217771 | + | 0.0969578i | −0.512723 | − | 0.858554i | \(-0.671363\pi\) |
0.294952 | + | 0.955512i | \(0.404696\pi\) | |||||||
\(728\) | 0.152294 | − | 0.468711i | 0.00564438 | − | 0.0173716i | ||||
\(729\) | 26.1539 | − | 6.70638i | 0.968662 | − | 0.248384i | ||||
\(730\) | 6.67127 | + | 14.9839i | 0.246915 | + | 0.554580i | ||||
\(731\) | 4.30706 | + | 20.2631i | 0.159302 | + | 0.749459i | ||||
\(732\) | 1.85109 | − | 4.67459i | 0.0684181 | − | 0.172778i | ||||
\(733\) | −2.19460 | − | 0.977098i | −0.0810593 | − | 0.0360899i | 0.365807 | − | 0.930691i | \(-0.380793\pi\) |
−0.446866 | + | 0.894601i | \(0.647460\pi\) | |||||||
\(734\) | −15.8783 | + | 17.6347i | −0.586080 | + | 0.650908i | ||||
\(735\) | −11.2025 | − | 3.12844i | −0.413212 | − | 0.115394i | ||||
\(736\) | 2.15363 | − | 2.96422i | 0.0793838 | − | 0.109262i | ||||
\(737\) | −5.82968 | − | 55.4657i | −0.214739 | − | 2.04310i | ||||
\(738\) | 22.3295 | − | 19.2702i | 0.821961 | − | 0.709347i | ||||
\(739\) | 9.71635 | − | 5.60974i | 0.357422 | − | 0.206358i | −0.310527 | − | 0.950564i | \(-0.600506\pi\) |
0.667949 | + | 0.744207i | \(0.267172\pi\) | |||||||
\(740\) | 6.19071 | − | 4.49781i | 0.227575 | − | 0.165343i | ||||
\(741\) | 9.64998 | − | 6.12335i | 0.354501 | − | 0.224947i | ||||
\(742\) | −1.04159 | + | 0.338433i | −0.0382379 | + | 0.0124243i | ||||
\(743\) | 5.98609 | 0.219608 | 0.109804 | − | 0.993953i | \(-0.464978\pi\) | ||||
0.109804 | + | 0.993953i | \(0.464978\pi\) | |||||||
\(744\) | −4.16756 | + | 8.69664i | −0.152790 | + | 0.318834i | ||||
\(745\) | −17.9130 | −0.656281 | ||||||||
\(746\) | 17.3276 | − | 5.63009i | 0.634410 | − | 0.206132i | ||||
\(747\) | 4.38280 | + | 10.4293i | 0.160358 | + | 0.381590i | ||||
\(748\) | −14.0907 | + | 10.2375i | −0.515207 | + | 0.374319i | ||||
\(749\) | 2.40406 | − | 1.38798i | 0.0878424 | − | 0.0507159i | ||||
\(750\) | −1.10412 | + | 1.33451i | −0.0403168 | + | 0.0487294i | ||||
\(751\) | −2.20658 | − | 20.9942i | −0.0805192 | − | 0.766089i | −0.958056 | − | 0.286580i | \(-0.907481\pi\) |
0.877537 | − | 0.479509i | \(-0.159185\pi\) | |||||||
\(752\) | 6.40037 | − | 8.80935i | 0.233397 | − | 0.321244i | ||||
\(753\) | 5.28688 | − | 18.9316i | 0.192665 | − | 0.689908i | ||||
\(754\) | 3.23307 | − | 3.59069i | 0.117742 | − | 0.130765i | ||||
\(755\) | 16.4012 | + | 7.30231i | 0.596902 | + | 0.265758i | ||||
\(756\) | −2.09864 | − | 1.81208i | −0.0763268 | − | 0.0659045i | ||||
\(757\) | −2.19536 | − | 10.3284i | −0.0797917 | − | 0.375390i | 0.920075 | − | 0.391743i | \(-0.128128\pi\) |
−0.999866 | + | 0.0163528i | \(0.994794\pi\) | |||||||
\(758\) | −0.427424 | − | 0.960009i | −0.0155247 | − | 0.0348691i | ||||
\(759\) | −10.5185 | + | 20.1174i | −0.381797 | + | 0.730216i | ||||
\(760\) | −2.20773 | + | 6.79469i | −0.0800827 | + | 0.246469i | ||||
\(761\) | −0.700532 | + | 0.311897i | −0.0253943 | + | 0.0113063i | −0.419394 | − | 0.907804i | \(-0.637758\pi\) |
0.394000 | + | 0.919110i | \(0.371091\pi\) | |||||||
\(762\) | 4.83156 | − | 0.202248i | 0.175029 | − | 0.00732667i | ||||
\(763\) | −6.82427 | − | 1.45054i | −0.247055 | − | 0.0525132i | ||||
\(764\) | −5.19132 | + | 11.6599i | −0.187815 | + | 0.421840i | ||||
\(765\) | 7.03558 | + | 12.8009i | 0.254372 | + | 0.462816i | ||||
\(766\) | −29.7489 | − | 3.12673i | −1.07487 | − | 0.112974i | ||||
\(767\) | 5.96950 | + | 4.33709i | 0.215546 | + | 0.156603i | ||||
\(768\) | 0.108847 | − | 1.72863i | 0.00392769 | − | 0.0623765i | ||||
\(769\) | −10.1381 | + | 17.5598i | −0.365591 | + | 0.633222i | −0.988871 | − | 0.148777i | \(-0.952466\pi\) |
0.623280 | + | 0.781999i | \(0.285800\pi\) | |||||||
\(770\) | −0.954399 | − | 1.65307i | −0.0343942 | − | 0.0595724i | ||||
\(771\) | −14.7464 | − | 29.7104i | −0.531080 | − | 1.07000i | ||||
\(772\) | 18.3168 | + | 20.3429i | 0.659236 | + | 0.732156i | ||||
\(773\) | 1.35939 | + | 4.18378i | 0.0488940 | + | 0.150480i | 0.972523 | − | 0.232808i | \(-0.0747915\pi\) |
−0.923629 | + | 0.383289i | \(0.874791\pi\) | |||||||
\(774\) | 12.0536 | + | 4.19892i | 0.433257 | + | 0.150927i | ||||
\(775\) | 3.42775 | + | 4.38754i | 0.123128 | + | 0.157605i | ||||
\(776\) | − | 8.28733i | − | 0.297498i | ||||||
\(777\) | 6.99656 | − | 1.03279i | 0.251000 | − | 0.0370510i | ||||
\(778\) | 6.01267 | − | 5.41383i | 0.215565 | − | 0.194095i | ||||
\(779\) | −41.2865 | − | 56.8259i | −1.47924 | − | 2.03600i | ||||
\(780\) | 0.557531 | + | 1.49940i | 0.0199628 | + | 0.0536870i | ||||
\(781\) | 32.3533 | + | 18.6792i | 1.15769 | + | 0.668394i | ||||
\(782\) | −17.7420 | + | 1.86476i | −0.634454 | + | 0.0666838i | ||||
\(783\) | −11.5704 | − | 24.5984i | −0.413492 | − | 0.879075i | ||||
\(784\) | 0.701936 | − | 6.67848i | 0.0250691 | − | 0.238517i | ||||
\(785\) | 11.5184 | + | 10.3712i | 0.411109 | + | 0.370164i | ||||
\(786\) | 3.00071 | + | 1.99390i | 0.107032 | + | 0.0711200i | ||||
\(787\) | −1.11269 | + | 5.23478i | −0.0396630 | + | 0.186600i | −0.993519 | − | 0.113664i | \(-0.963741\pi\) |
0.953856 | + | 0.300264i | \(0.0970746\pi\) | |||||||
\(788\) | −24.8435 | + | 5.28064i | −0.885012 | + | 0.188115i | ||||
\(789\) | −11.6179 | + | 2.98232i | −0.413609 | + | 0.106174i | ||||
\(790\) | 9.24616 | + | 3.00426i | 0.328964 | + | 0.106887i | ||||
\(791\) | 6.12845 | + | 1.99125i | 0.217903 | + | 0.0708008i | ||||
\(792\) | 0.896862 | + | 10.6939i | 0.0318686 | + | 0.379992i | ||||
\(793\) | −2.62238 | + | 0.557403i | −0.0931233 | + | 0.0197940i | ||||
\(794\) | 4.20982 | − | 19.8056i | 0.149401 | − | 0.702875i | ||||
\(795\) | 1.96741 | − | 2.96086i | 0.0697769 | − | 0.105011i | ||||
\(796\) | 4.58809 | + | 4.13113i | 0.162621 | + | 0.146424i | ||||
\(797\) | 3.87177 | − | 36.8374i | 0.137145 | − | 1.30485i | −0.682038 | − | 0.731317i | \(-0.738906\pi\) |
0.819183 | − | 0.573532i | \(-0.194427\pi\) | |||||||
\(798\) | −4.71796 | + | 4.61968i | −0.167014 | + | 0.163535i | ||||
\(799\) | −52.7275 | + | 5.54188i | −1.86537 | + | 0.196058i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | −0.761230 | − | 3.99279i | −0.0268967 | − | 0.141078i | ||||
\(802\) | 3.32455 | + | 4.57585i | 0.117394 | + | 0.161579i | ||||
\(803\) | 43.6020 | − | 39.2594i | 1.53868 | − | 1.38544i | ||||
\(804\) | −3.94346 | − | 26.7148i | −0.139075 | − | 0.942158i | ||||
\(805\) | − | 1.95512i | − | 0.0689091i | ||||||
\(806\) | 5.09228 | − | 0.715544i | 0.179368 | − | 0.0252040i | ||||
\(807\) | −10.2814 | − | 1.73953i | −0.361923 | − | 0.0612343i | ||||
\(808\) | 4.31234 | + | 13.2720i | 0.151708 | + | 0.466908i | ||||
\(809\) | −20.9667 | − | 23.2859i | −0.737151 | − | 0.818689i | 0.251668 | − | 0.967814i | \(-0.419021\pi\) |
−0.988818 | + | 0.149125i | \(0.952354\pi\) | |||||||
\(810\) | 8.99203 | + | 0.378772i | 0.315948 | + | 0.0133087i | ||||
\(811\) | −2.68607 | − | 4.65241i | −0.0943207 | − | 0.163368i | 0.815004 | − | 0.579455i | \(-0.196735\pi\) |
−0.909325 | + | 0.416087i | \(0.863401\pi\) | |||||||
\(812\) | −1.39579 | + | 2.41758i | −0.0489826 | + | 0.0848403i | ||||
\(813\) | −34.3895 | − | 2.16542i | −1.20609 | − | 0.0759445i | ||||
\(814\) | −22.1451 | − | 16.0894i | −0.776186 | − | 0.563932i | ||||
\(815\) | −8.04408 | − | 0.845467i | −0.281772 | − | 0.0296154i | ||||
\(816\) | −6.60939 | + | 5.23797i | −0.231375 | + | 0.183366i | ||||
\(817\) | 12.3635 | − | 27.7689i | 0.432544 | − | 0.971511i | ||||
\(818\) | 9.44565 | + | 2.00773i | 0.330259 | + | 0.0701988i | ||||
\(819\) | −0.185459 | + | 1.46682i | −0.00648046 | + | 0.0512548i | ||||
\(820\) | 8.98165 | − | 3.99889i | 0.313653 | − | 0.139647i | ||||
\(821\) | −13.7853 | + | 42.4267i | −0.481110 | + | 1.48070i | 0.356428 | + | 0.934323i | \(0.383995\pi\) |
−0.837537 | + | 0.546380i | \(0.816005\pi\) | |||||||
\(822\) | 17.7683 | + | 9.29022i | 0.619740 | + | 0.324034i | ||||
\(823\) | 12.6343 | + | 28.3772i | 0.440405 | + | 0.989166i | 0.988286 | + | 0.152610i | \(0.0487679\pi\) |
−0.547881 | + | 0.836556i | \(0.684565\pi\) | |||||||
\(824\) | 0.243085 | + | 1.14363i | 0.00846828 | + | 0.0398401i | ||||
\(825\) | 5.76060 | + | 2.28114i | 0.200559 | + | 0.0794189i | ||||
\(826\) | −3.89453 | − | 1.73396i | −0.135508 | − | 0.0603321i | ||||
\(827\) | 2.85621 | − | 3.17214i | 0.0993202 | − | 0.110306i | −0.691435 | − | 0.722438i | \(-0.743021\pi\) |
0.790755 | + | 0.612132i | \(0.209688\pi\) | |||||||
\(828\) | −4.68118 | + | 9.94530i | −0.162682 | + | 0.345623i | ||||
\(829\) | −12.7413 | + | 17.5370i | −0.442525 | + | 0.609084i | −0.970771 | − | 0.240008i | \(-0.922850\pi\) |
0.528246 | + | 0.849092i | \(0.322850\pi\) | |||||||
\(830\) | 0.394171 | + | 3.75029i | 0.0136819 | + | 0.130174i | ||||
\(831\) | 18.4638 | + | 15.2762i | 0.640501 | + | 0.529925i | ||||
\(832\) | −0.799848 | + | 0.461793i | −0.0277298 | + | 0.0160098i | ||||
\(833\) | −26.4519 | + | 19.2184i | −0.916505 | + | 0.665880i | ||||
\(834\) | 4.19468 | + | 6.61053i | 0.145250 | + | 0.228904i | ||||
\(835\) | 7.66717 | − | 2.49121i | 0.265333 | − | 0.0862120i | ||||
\(836\) | 25.5565 | 0.883889 | ||||||||
\(837\) | 7.39540 | − | 27.9698i | 0.255622 | − | 0.966777i | ||||
\(838\) | 24.3336 | 0.840589 | ||||||||
\(839\) | −35.3767 | + | 11.4946i | −1.22134 | + | 0.396837i | −0.847570 | − | 0.530684i | \(-0.821935\pi\) |
−0.373770 | + | 0.927521i | \(0.621935\pi\) | |||||||
\(840\) | −0.495189 | − | 0.780384i | −0.0170857 | − | 0.0269258i | ||||
\(841\) | 1.31972 | − | 0.958836i | 0.0455078 | − | 0.0330633i | ||||
\(842\) | 20.3547 | − | 11.7518i | 0.701471 | − | 0.404994i | ||||
\(843\) | −5.96046 | − | 4.93145i | −0.205289 | − | 0.169848i | ||||
\(844\) | −2.57474 | − | 24.4970i | −0.0886261 | − | 0.843221i | ||||
\(845\) | −7.13982 | + | 9.82712i | −0.245617 | + | 0.338063i | ||||
\(846\) | −13.9120 | + | 29.5564i | −0.478304 | + | 1.01617i | ||||
\(847\) | −0.641285 | + | 0.712219i | −0.0220348 | + | 0.0244721i | ||||
\(848\) | 1.87499 | + | 0.834797i | 0.0643873 | + | 0.0286671i | ||||
\(849\) | −20.8625 | − | 8.26133i | −0.716001 | − | 0.283528i | ||||
\(850\) | 1.01231 | + | 4.76257i | 0.0347221 | + | 0.163355i | ||||
\(851\) | −11.4038 | − | 25.6133i | −0.390916 | − | 0.878012i | ||||
\(852\) | 16.0300 | + | 8.38133i | 0.549177 | + | 0.287140i | ||||
\(853\) | −11.9929 | + | 36.9102i | −0.410628 | + | 1.26378i | 0.505476 | + | 0.862841i | \(0.331317\pi\) |
−0.916104 | + | 0.400942i | \(0.868683\pi\) | |||||||
\(854\) | 1.41503 | − | 0.630013i | 0.0484214 | − | 0.0215586i | ||||
\(855\) | 2.68851 | − | 21.2638i | 0.0919452 | − | 0.727206i | ||||
\(856\) | −5.08858 | − | 1.08161i | −0.173924 | − | 0.0369687i | ||||
\(857\) | 3.04907 | − | 6.84833i | 0.104154 | − | 0.233935i | −0.853949 | − | 0.520356i | \(-0.825799\pi\) |
0.958104 | + | 0.286422i | \(0.0924658\pi\) | |||||||
\(858\) | 4.48477 | − | 3.55420i | 0.153107 | − | 0.121338i | ||||
\(859\) | 35.6297 | + | 3.74483i | 1.21567 | + | 0.127772i | 0.690567 | − | 0.723268i | \(-0.257361\pi\) |
0.525101 | + | 0.851040i | \(0.324028\pi\) | |||||||
\(860\) | 3.44210 | + | 2.50083i | 0.117374 | + | 0.0852776i | ||||
\(861\) | 9.06879 | + | 0.571039i | 0.309064 | + | 0.0194609i | ||||
\(862\) | 4.10221 | − | 7.10524i | 0.139722 | − | 0.242005i | ||||
\(863\) | −19.2181 | − | 33.2867i | −0.654192 | − | 1.13309i | −0.982096 | − | 0.188383i | \(-0.939676\pi\) |
0.327904 | − | 0.944711i | \(-0.393658\pi\) | |||||||
\(864\) | 0.650438 | + | 5.15528i | 0.0221283 | + | 0.175386i | ||||
\(865\) | −1.07627 | − | 1.19532i | −0.0365944 | − | 0.0406422i | ||||
\(866\) | 2.71570 | + | 8.35805i | 0.0922831 | + | 0.284018i | ||||
\(867\) | 11.4538 | + | 1.93788i | 0.388990 | + | 0.0658138i | ||||
\(868\) | −2.79185 | + | 1.01607i | −0.0947617 | + | 0.0344878i | ||||
\(869\) | − | 34.7771i | − | 1.17973i | ||||||
\(870\) | −1.32322 | − | 8.96411i | −0.0448615 | − | 0.303912i | ||||
\(871\) | −10.7010 | + | 9.63518i | −0.362588 | + | 0.326476i | ||||
\(872\) | 7.68508 | + | 10.5776i | 0.260250 | + | 0.358203i | ||||
\(873\) | 4.65610 | + | 24.4221i | 0.157585 | + | 0.826563i | ||||
\(874\) | 22.6697 | + | 13.0884i | 0.766815 | + | 0.442721i | ||||
\(875\) | −0.530685 | + | 0.0557772i | −0.0179404 | + | 0.00188561i | ||||
\(876\) | 20.2985 | − | 19.8757i | 0.685823 | − | 0.671536i | ||||
\(877\) | −1.37193 | + | 13.0530i | −0.0463267 | + | 0.440769i | 0.946633 | + | 0.322314i | \(0.104461\pi\) |
−0.992959 | + | 0.118455i | \(0.962206\pi\) | |||||||
\(878\) | 5.28758 | + | 4.76096i | 0.178447 | + | 0.160675i | ||||
\(879\) | 2.78409 | − | 4.18991i | 0.0939049 | − | 0.141322i | ||||
\(880\) | −0.743733 | + | 3.49899i | −0.0250712 | + | 0.117951i | ||||
\(881\) | −48.3176 | + | 10.2702i | −1.62786 | + | 0.346013i | −0.929239 | − | 0.369478i | \(-0.879536\pi\) |
−0.698622 | + | 0.715491i | \(0.746203\pi\) | |||||||
\(882\) | 1.68365 | + | 20.0753i | 0.0566913 | + | 0.675971i | ||||
\(883\) | −14.7448 | − | 4.79088i | −0.496202 | − | 0.161226i | 0.0502159 | − | 0.998738i | \(-0.484009\pi\) |
−0.546418 | + | 0.837513i | \(0.684009\pi\) | |||||||
\(884\) | 4.27681 | + | 1.38962i | 0.143845 | + | 0.0467380i | ||||
\(885\) | 13.4031 | − | 3.44059i | 0.450542 | − | 0.115654i | ||||
\(886\) | −10.5097 | + | 2.23391i | −0.353081 | + | 0.0750497i | ||||
\(887\) | 11.5583 | − | 54.3773i | 0.388088 | − | 1.82581i | −0.157203 | − | 0.987566i | \(-0.550248\pi\) |
0.545292 | − | 0.838246i | \(-0.316419\pi\) | |||||||
\(888\) | −11.0391 | − | 7.33517i | −0.370447 | − | 0.246152i | ||||
\(889\) | 1.10714 | + | 0.996874i | 0.0371323 | + | 0.0334341i | ||||
\(890\) | 0.141626 | − | 1.34748i | 0.00474731 | − | 0.0451676i | ||||
\(891\) | −8.65119 | − | 31.0103i | −0.289826 | − | 1.03888i | ||||
\(892\) | 13.3394 | − | 1.40202i | 0.446635 | − | 0.0469432i | ||||
\(893\) | 67.3721 | + | 38.8973i | 2.25452 | + | 1.30165i | ||||
\(894\) | 10.8133 | + | 29.0809i | 0.361652 | + | 0.972610i | ||||
\(895\) | 11.2164 | + | 15.4381i | 0.374923 | + | 0.516038i | ||||
\(896\) | 0.396548 | − | 0.357053i | 0.0132477 | − | 0.0119283i | ||||
\(897\) | 5.79841 | − | 0.855924i | 0.193603 | − | 0.0285785i | ||||
\(898\) | − | 11.3816i | − | 0.379810i | ||||||
\(899\) | −29.0568 | − | 2.03258i | −0.969099 | − | 0.0677902i | ||||
\(900\) | 2.83303 | + | 0.986898i | 0.0944342 | + | 0.0328966i | ||||
\(901\) | −3.08807 | − | 9.50409i | −0.102878 | − | 0.316627i | ||||
\(902\) | −23.5329 | − | 26.1359i | −0.783558 | − | 0.870230i | ||||
\(903\) | 1.74826 | + | 3.52231i | 0.0581784 | + | 0.117215i | ||||
\(904\) | −6.03798 | − | 10.4581i | −0.200820 | − | 0.347831i | ||||
\(905\) | −4.51567 | + | 7.82137i | −0.150106 | + | 0.259991i | ||||
\(906\) | 1.95418 | − | 31.0347i | 0.0649232 | − | 1.03106i | ||||
\(907\) | 44.8404 | + | 32.5785i | 1.48890 | + | 1.08175i | 0.974550 | + | 0.224171i | \(0.0719674\pi\) |
0.514352 | + | 0.857579i | \(0.328033\pi\) | |||||||
\(908\) | 3.66229 | + | 0.384922i | 0.121537 | + | 0.0127741i | ||||
\(909\) | −20.1648 | − | 36.6888i | −0.668824 | − | 1.21689i | ||||
\(910\) | −0.200453 | + | 0.450225i | −0.00664495 | + | 0.0149248i | ||||
\(911\) | 41.9322 | + | 8.91297i | 1.38928 | + | 0.295300i | 0.841017 | − | 0.541009i | \(-0.181957\pi\) |
0.548259 | + | 0.836308i | \(0.315291\pi\) | |||||||
\(912\) | 12.3636 | − | 0.517536i | 0.409398 | − | 0.0171373i | ||||
\(913\) | 12.3231 | − | 5.48658i | 0.407834 | − | 0.181579i | ||||
\(914\) | 2.67039 | − | 8.21861i | 0.0883286 | − | 0.271848i | ||||
\(915\) | −2.32957 | + | 4.45549i | −0.0770134 | + | 0.147294i | ||||
\(916\) | 4.42504 | + | 9.93881i | 0.146208 | + | 0.328387i | ||||
\(917\) | 0.230768 | + | 1.08568i | 0.00762064 | + | 0.0358523i | ||||
\(918\) | 16.5345 | − | 19.1493i | 0.545719 | − | 0.632020i | ||||
\(919\) | −17.9198 | − | 7.97840i | −0.591119 | − | 0.263183i | 0.0893020 | − | 0.996005i | \(-0.471536\pi\) |
−0.680421 | + | 0.732822i | \(0.738203\pi\) | |||||||
\(920\) | −2.45168 | + | 2.72286i | −0.0808294 | + | 0.0897701i | ||||
\(921\) | 7.94081 | − | 28.4350i | 0.261659 | − | 0.936966i | ||||
\(922\) | −18.5419 | + | 25.5208i | −0.610646 | + | 0.840482i | ||||
\(923\) | −1.00824 | − | 9.59272i | −0.0331865 | − | 0.315748i | ||||
\(924\) | −2.10754 | + | 2.54731i | −0.0693331 | + | 0.0838004i | ||||
\(925\) | −6.62694 | + | 3.82607i | −0.217893 | + | 0.125800i | ||||
\(926\) | 7.59734 | − | 5.51979i | 0.249664 | − | 0.181392i | ||||
\(927\) | −1.35888 | − | 3.23360i | −0.0446315 | − | 0.106206i | ||||
\(928\) | 4.97546 | − | 1.61663i | 0.163328 | − | 0.0530684i | ||||
\(929\) | 12.5238 | 0.410893 | 0.205447 | − | 0.978668i | \(-0.434135\pi\) | ||||
0.205447 | + | 0.978668i | \(0.434135\pi\) | |||||||
\(930\) | 5.05377 | − | 8.21337i | 0.165720 | − | 0.269327i | ||||
\(931\) | 47.9762 | 1.57236 | ||||||||
\(932\) | −23.4239 | + | 7.61088i | −0.767275 | + | 0.249303i | ||||
\(933\) | −12.7728 | + | 8.10490i | −0.418162 | + | 0.265343i | ||||
\(934\) | 2.87857 | − | 2.09141i | 0.0941898 | − | 0.0684329i | ||||
\(935\) | 15.0836 | − | 8.70852i | 0.493287 | − | 0.284799i | ||||
\(936\) | 2.09764 | − | 1.81025i | 0.0685635 | − | 0.0591698i | ||||
\(937\) | −3.63924 | − | 34.6251i | −0.118889 | − | 1.13115i | −0.877489 | − | 0.479596i | \(-0.840783\pi\) |
0.758600 | − | 0.651556i | \(-0.225884\pi\) | |||||||
\(938\) | 4.89005 | − | 6.73057i | 0.159666 | − | 0.219761i | ||||
\(939\) | −49.1355 | − | 13.7216i | −1.60347 | − | 0.447789i | ||||
\(940\) | −7.28613 | + | 8.09207i | −0.237648 | + | 0.263934i | ||||
\(941\) | −30.4726 | − | 13.5673i | −0.993377 | − | 0.442280i | −0.155321 | − | 0.987864i | \(-0.549641\pi\) |
−0.838056 | + | 0.545584i | \(0.816308\pi\) | |||||||
\(942\) | 9.88398 | − | 24.9602i | 0.322037 | − | 0.813249i | ||||
\(943\) | −7.48957 | − | 35.2357i | −0.243894 | − | 1.14743i | ||||
\(944\) | 3.24950 | + | 7.29849i | 0.105762 | + | 0.237546i | ||||
\(945\) | 1.89773 | + | 2.02152i | 0.0617332 | + | 0.0657599i | ||||
\(946\) | 4.70312 | − | 14.4747i | 0.152911 | − | 0.470613i | ||||
\(947\) | −29.3965 | + | 13.0882i | −0.955257 | + | 0.425308i | −0.824346 | − | 0.566086i | \(-0.808457\pi\) |
−0.130911 | + | 0.991394i | \(0.541790\pi\) | |||||||
\(948\) | −0.704259 | − | 16.8242i | −0.0228733 | − | 0.546426i | ||||
\(949\) | −14.8176 | − | 3.14957i | −0.480998 | − | 0.102239i | ||||
\(950\) | 2.90587 | − | 6.52669i | 0.0942789 | − | 0.211754i | ||||
\(951\) | 21.8379 | + | 27.5555i | 0.708141 | + | 0.893548i | ||||
\(952\) | −2.58388 | − | 0.271577i | −0.0837442 | − | 0.00880187i | ||||
\(953\) | −25.9178 | − | 18.8304i | −0.839561 | − | 0.609977i | 0.0826870 | − | 0.996576i | \(-0.473650\pi\) |
−0.922248 | + | 0.386599i | \(0.873650\pi\) | |||||||
\(954\) | −5.99445 | − | 1.40665i | −0.194078 | − | 0.0455420i | ||||
\(955\) | 6.38167 | − | 11.0534i | 0.206506 | − | 0.357679i | ||||
\(956\) | −2.34902 | − | 4.06862i | −0.0759727 | − | 0.131589i | ||||
\(957\) | −29.0339 | + | 14.4107i | −0.938533 | + | 0.465830i | ||||
\(958\) | 14.6826 | + | 16.3066i | 0.474372 | + | 0.526843i | ||||
\(959\) | 1.90883 | + | 5.87478i | 0.0616394 | + | 0.189707i | ||||
\(960\) | −0.288942 | + | 1.70778i | −0.00932555 | + | 0.0551184i | ||||
\(961\) | −22.2985 | − | 21.5355i | −0.719305 | − | 0.694694i | ||||
\(962\) | 7.06740i | 0.227862i | ||||||||
\(963\) | 15.6033 | + | 0.328485i | 0.502811 | + | 0.0105853i | ||||
\(964\) | −11.3499 | + | 10.2195i | −0.365556 | + | 0.329148i | ||||
\(965\) | −16.0901 | − | 22.1461i | −0.517957 | − | 0.712907i | ||||
\(966\) | −3.17405 | + | 1.18023i | −0.102123 | + | 0.0379732i | ||||
\(967\) | −0.782812 | − | 0.451956i | −0.0251735 | − | 0.0145339i | 0.487360 | − | 0.873201i | \(-0.337960\pi\) |
−0.512534 | + | 0.858667i | \(0.671293\pi\) | |||||||
\(968\) | 1.78621 | − | 0.187738i | 0.0574109 | − | 0.00603413i | ||||
\(969\) | −42.1528 | − | 43.0495i | −1.35414 | − | 1.38295i | ||||
\(970\) | −0.866262 | + | 8.24193i | −0.0278140 | + | 0.264632i | ||||
\(971\) | −20.1800 | − | 18.1702i | −0.647608 | − | 0.583108i | 0.278468 | − | 0.960445i | \(-0.410173\pi\) |
−0.926076 | + | 0.377337i | \(0.876840\pi\) | |||||||
\(972\) | −4.81320 | − | 14.8268i | −0.154383 | − | 0.475569i | ||||
\(973\) | −0.501477 | + | 2.35926i | −0.0160766 | + | 0.0756345i | ||||
\(974\) | −30.1382 | + | 6.40607i | −0.965690 | + | 0.205264i | ||||
\(975\) | −0.397747 | − | 1.54946i | −0.0127381 | − | 0.0496224i | ||||
\(976\) | −2.76071 | − | 0.897008i | −0.0883680 | − | 0.0287125i | ||||
\(977\) | 47.2521 | + | 15.3532i | 1.51173 | + | 0.491191i | 0.943413 | − | 0.331619i | \(-0.107595\pi\) |
0.568317 | + | 0.822810i | \(0.307595\pi\) | |||||||
\(978\) | 3.48331 | + | 13.5696i | 0.111384 | + | 0.433907i | ||||
\(979\) | −4.74078 | + | 1.00768i | −0.151516 | + | 0.0322057i | ||||
\(980\) | −1.39618 | + | 6.56852i | −0.0445994 | + | 0.209824i | ||||
\(981\) | −28.5902 | − | 26.8536i | −0.912815 | − | 0.857371i | ||||
\(982\) | 25.2549 | + | 22.7396i | 0.805916 | + | 0.725650i | ||||
\(983\) | 4.20843 | − | 40.0405i | 0.134228 | − | 1.27709i | −0.695337 | − | 0.718684i | \(-0.744745\pi\) |
0.829565 | − | 0.558410i | \(-0.188588\pi\) | |||||||
\(984\) | −11.9139 | − | 12.1673i | −0.379800 | − | 0.387880i | ||||
\(985\) | 25.2593 | − | 2.65486i | 0.804830 | − | 0.0845910i | ||||
\(986\) | −22.0594 | − | 12.7360i | −0.702516 | − | 0.405598i | ||||
\(987\) | −9.43296 | + | 3.50752i | −0.300254 | + | 0.111646i | ||||
\(988\) | −3.87846 | − | 5.33824i | −0.123390 | − | 0.169832i | ||||
\(989\) | 11.5849 | − | 10.4311i | 0.368377 | − | 0.331689i | ||||
\(990\) | 0.225871 | − | 10.7291i | 0.00717865 | − | 0.340993i | ||||
\(991\) | − | 52.6598i | − | 1.67279i | −0.548124 | − | 0.836397i | \(-0.684658\pi\) | ||
0.548124 | − | 0.836397i | \(-0.315342\pi\) | |||||||
\(992\) | 5.16229 | + | 2.08585i | 0.163903 | + | 0.0662258i | ||||
\(993\) | −2.53922 | + | 15.0080i | −0.0805797 | + | 0.476263i | ||||
\(994\) | 1.72209 | + | 5.30003i | 0.0546212 | + | 0.168107i | ||||
\(995\) | −4.13113 | − | 4.58809i | −0.130966 | − | 0.145452i | ||||
\(996\) | 5.85047 | − | 2.90381i | 0.185379 | − | 0.0920108i | ||||
\(997\) | −10.6734 | − | 18.4869i | −0.338031 | − | 0.585487i | 0.646031 | − | 0.763311i | \(-0.276428\pi\) |
−0.984062 | + | 0.177824i | \(0.943094\pi\) | |||||||
\(998\) | 8.79043 | − | 15.2255i | 0.278256 | − | 0.481954i | ||||
\(999\) | 36.6524 | + | 15.4140i | 1.15963 | + | 0.487679i |
(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 | 930.2.br.a.11.18 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.a.11.3 | ✓ | 176 | |
31.17 | odd | 30 | inner | 930.2.br.a.761.3 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.a.761.18 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.a.11.3 | ✓ | 176 | 3.2 | odd | 2 | inner | |
930.2.br.a.11.18 | yes | 176 | 1.1 | even | 1 | trivial | |
930.2.br.a.761.3 | yes | 176 | 31.17 | odd | 30 | inner | |
930.2.br.a.761.18 | yes | 176 | 93.17 | even | 30 | inner |