Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.15 | ||
Character | \(\chi\) | \(=\) | 403.16 |
Dual form | 403.2.bl.b.126.15 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.596810 | − | 0.265717i | −0.422008 | − | 0.187890i | 0.184735 | − | 0.982788i | \(-0.440857\pi\) |
−0.606743 | + | 0.794898i | \(0.707524\pi\) | |||||||
\(3\) | 0.0996818 | − | 0.948409i | 0.0575513 | − | 0.547564i | −0.927319 | − | 0.374272i | \(-0.877893\pi\) |
0.984870 | − | 0.173292i | \(-0.0554406\pi\) | |||||||
\(4\) | −1.05268 | − | 1.16913i | −0.526342 | − | 0.584563i | ||||
\(5\) | 0.954231 | 0.426745 | 0.213373 | − | 0.976971i | \(-0.431555\pi\) | ||||
0.213373 | + | 0.976971i | \(0.431555\pi\) | |||||||
\(6\) | −0.311499 | + | 0.539532i | −0.127169 | + | 0.220263i | ||||
\(7\) | 2.48894 | + | 2.76425i | 0.940731 | + | 1.04479i | 0.998919 | + | 0.0464817i | \(0.0148009\pi\) |
−0.0581884 | + | 0.998306i | \(0.518532\pi\) | |||||||
\(8\) | 0.721351 | + | 2.22009i | 0.255036 | + | 0.784921i | ||||
\(9\) | 2.04490 | + | 0.434657i | 0.681633 | + | 0.144886i | ||||
\(10\) | −0.569494 | − | 0.253555i | −0.180090 | − | 0.0801812i | ||||
\(11\) | −1.06042 | + | 0.225399i | −0.319728 | + | 0.0679603i | −0.364980 | − | 0.931015i | \(-0.618924\pi\) |
0.0452520 | + | 0.998976i | \(0.485591\pi\) | |||||||
\(12\) | −1.21374 | + | 0.881835i | −0.350377 | + | 0.254564i | ||||
\(13\) | 3.59428 | + | 0.284818i | 0.996875 | + | 0.0789942i | ||||
\(14\) | −0.750916 | − | 2.31108i | −0.200691 | − | 0.617663i | ||||
\(15\) | 0.0951194 | − | 0.905001i | 0.0245597 | − | 0.233670i | ||||
\(16\) | −0.169485 | + | 1.61254i | −0.0423713 | + | 0.403136i | ||||
\(17\) | 2.63237 | + | 0.559528i | 0.638444 | + | 0.135705i | 0.515750 | − | 0.856739i | \(-0.327513\pi\) |
0.122694 | + | 0.992445i | \(0.460847\pi\) | |||||||
\(18\) | −1.10492 | − | 0.802772i | −0.260432 | − | 0.189215i | ||||
\(19\) | −0.658770 | − | 6.26777i | −0.151132 | − | 1.43793i | −0.762709 | − | 0.646741i | \(-0.776131\pi\) |
0.611577 | − | 0.791185i | \(-0.290535\pi\) | |||||||
\(20\) | −1.00450 | − | 1.11562i | −0.224614 | − | 0.249459i | ||||
\(21\) | 2.86974 | − | 2.08499i | 0.626228 | − | 0.454981i | ||||
\(22\) | 0.692760 | + | 0.147251i | 0.147697 | + | 0.0313940i | ||||
\(23\) | −1.28119 | + | 1.42290i | −0.267146 | + | 0.296695i | −0.861760 | − | 0.507315i | \(-0.830638\pi\) |
0.594615 | + | 0.804011i | \(0.297305\pi\) | |||||||
\(24\) | 2.17746 | − | 0.462833i | 0.444472 | − | 0.0944754i | ||||
\(25\) | −4.08944 | −0.817889 | ||||||||
\(26\) | −2.06942 | − | 1.12504i | −0.405847 | − | 0.220639i | ||||
\(27\) | 1.50014 | − | 4.61695i | 0.288702 | − | 0.888532i | ||||
\(28\) | 0.611682 | − | 5.81976i | 0.115597 | − | 1.09983i | ||||
\(29\) | −3.07533 | − | 1.36922i | −0.571074 | − | 0.254258i | 0.100822 | − | 0.994905i | \(-0.467853\pi\) |
−0.671895 | + | 0.740646i | \(0.734520\pi\) | |||||||
\(30\) | −0.297242 | + | 0.514838i | −0.0542687 | + | 0.0939962i | ||||
\(31\) | 4.76747 | − | 2.87598i | 0.856262 | − | 0.516541i | ||||
\(32\) | 2.86397 | − | 4.96055i | 0.506284 | − | 0.876909i | ||||
\(33\) | 0.108066 | + | 1.02818i | 0.0188119 | + | 0.178983i | ||||
\(34\) | −1.42235 | − | 1.03340i | −0.243931 | − | 0.177226i | ||||
\(35\) | 2.37502 | + | 2.63773i | 0.401452 | + | 0.445858i | ||||
\(36\) | −1.64447 | − | 2.84830i | −0.274078 | − | 0.474717i | ||||
\(37\) | 0.530160 | + | 0.918263i | 0.0871577 | + | 0.150962i | 0.906309 | − | 0.422616i | \(-0.138888\pi\) |
−0.819151 | + | 0.573578i | \(0.805555\pi\) | |||||||
\(38\) | −1.27229 | + | 3.91571i | −0.206393 | + | 0.635213i | ||||
\(39\) | 0.628408 | − | 3.38046i | 0.100626 | − | 0.541307i | ||||
\(40\) | 0.688336 | + | 2.11848i | 0.108835 | + | 0.334961i | ||||
\(41\) | 3.69118 | + | 1.64342i | 0.576466 | + | 0.256659i | 0.674194 | − | 0.738554i | \(-0.264491\pi\) |
−0.0977285 | + | 0.995213i | \(0.531158\pi\) | |||||||
\(42\) | −2.26670 | + | 0.481803i | −0.349760 | + | 0.0743438i | ||||
\(43\) | 0.845648 | + | 8.04580i | 0.128960 | + | 1.22697i | 0.847237 | + | 0.531216i | \(0.178265\pi\) |
−0.718276 | + | 0.695758i | \(0.755069\pi\) | |||||||
\(44\) | 1.37981 | + | 1.00249i | 0.208014 | + | 0.151131i | ||||
\(45\) | 1.95131 | + | 0.414763i | 0.290884 | + | 0.0618293i | ||||
\(46\) | 1.14271 | − | 0.508769i | 0.168484 | − | 0.0750138i | ||||
\(47\) | −10.3317 | − | 7.50639i | −1.50703 | − | 1.09492i | −0.967474 | − | 0.252969i | \(-0.918593\pi\) |
−0.539554 | − | 0.841951i | \(-0.681407\pi\) | |||||||
\(48\) | 1.51245 | + | 0.321482i | 0.218304 | + | 0.0464020i | ||||
\(49\) | −0.714544 | + | 6.79844i | −0.102078 | + | 0.971205i | ||||
\(50\) | 2.44062 | + | 1.08663i | 0.345156 | + | 0.153673i | ||||
\(51\) | 0.793060 | − | 2.44079i | 0.111051 | − | 0.341779i | ||||
\(52\) | −3.45066 | − | 4.50199i | −0.478521 | − | 0.624314i | ||||
\(53\) | 4.12667 | + | 12.7006i | 0.566842 | + | 1.74456i | 0.662414 | + | 0.749138i | \(0.269532\pi\) |
−0.0955714 | + | 0.995423i | \(0.530468\pi\) | |||||||
\(54\) | −2.12210 | + | 2.35683i | −0.288781 | + | 0.320724i | ||||
\(55\) | −1.01188 | + | 0.215083i | −0.136442 | + | 0.0290017i | ||||
\(56\) | −4.34148 | + | 7.51967i | −0.580155 | + | 1.00486i | ||||
\(57\) | −6.01008 | −0.796054 | ||||||||
\(58\) | 1.47156 | + | 1.63433i | 0.193225 | + | 0.214598i | ||||
\(59\) | 6.57641 | − | 2.92801i | 0.856175 | − | 0.381194i | 0.0687723 | − | 0.997632i | \(-0.478092\pi\) |
0.787403 | + | 0.616439i | \(0.211425\pi\) | |||||||
\(60\) | −1.15819 | + | 0.841474i | −0.149522 | + | 0.108634i | ||||
\(61\) | 2.53503 | − | 4.39081i | 0.324578 | − | 0.562185i | −0.656849 | − | 0.754022i | \(-0.728111\pi\) |
0.981427 | + | 0.191837i | \(0.0614444\pi\) | |||||||
\(62\) | −3.60947 | + | 0.449617i | −0.458403 | + | 0.0571015i | ||||
\(63\) | 3.88813 | + | 6.73445i | 0.489859 | + | 0.848460i | ||||
\(64\) | −0.403825 | + | 0.293396i | −0.0504782 | + | 0.0366745i | ||||
\(65\) | 3.42978 | + | 0.271782i | 0.425412 | + | 0.0337104i | ||||
\(66\) | 0.208709 | − | 0.642342i | 0.0256904 | − | 0.0790668i | ||||
\(67\) | 7.76164 | + | 13.4436i | 0.948235 | + | 1.64239i | 0.749140 | + | 0.662411i | \(0.230467\pi\) |
0.199095 | + | 0.979980i | \(0.436200\pi\) | |||||||
\(68\) | −2.11690 | − | 3.66658i | −0.256712 | − | 0.444638i | ||||
\(69\) | 1.22178 | + | 1.35693i | 0.147085 | + | 0.163355i | ||||
\(70\) | −0.716548 | − | 2.20531i | −0.0856438 | − | 0.263585i | ||||
\(71\) | −13.9126 | − | 2.95722i | −1.65113 | − | 0.350958i | −0.714053 | − | 0.700092i | \(-0.753142\pi\) |
−0.937073 | + | 0.349134i | \(0.886476\pi\) | |||||||
\(72\) | 0.510114 | + | 4.85341i | 0.0601175 | + | 0.571979i | ||||
\(73\) | 2.62604 | − | 8.08211i | 0.307354 | − | 0.945940i | −0.671434 | − | 0.741065i | \(-0.734321\pi\) |
0.978788 | − | 0.204875i | \(-0.0656788\pi\) | |||||||
\(74\) | −0.0724064 | − | 0.688901i | −0.00841707 | − | 0.0800831i | ||||
\(75\) | −0.407643 | + | 3.87846i | −0.0470705 | + | 0.447846i | ||||
\(76\) | −6.63433 | + | 7.36817i | −0.761010 | + | 0.845188i | ||||
\(77\) | −3.26238 | − | 2.37026i | −0.371782 | − | 0.270116i | ||||
\(78\) | −1.27328 | + | 1.85051i | −0.144171 | + | 0.209529i | ||||
\(79\) | −5.26905 | − | 16.2165i | −0.592815 | − | 1.82450i | −0.565317 | − | 0.824874i | \(-0.691246\pi\) |
−0.0274972 | − | 0.999622i | \(-0.508754\pi\) | |||||||
\(80\) | −0.161728 | + | 1.53874i | −0.0180817 | + | 0.172036i | ||||
\(81\) | 1.50031 | + | 0.667983i | 0.166702 | + | 0.0742203i | ||||
\(82\) | −1.76625 | − | 1.96162i | −0.195050 | − | 0.216624i | ||||
\(83\) | 2.49132 | − | 1.81005i | 0.273458 | − | 0.198679i | −0.442601 | − | 0.896719i | \(-0.645944\pi\) |
0.716059 | + | 0.698040i | \(0.245944\pi\) | |||||||
\(84\) | −5.45854 | − | 1.16025i | −0.595576 | − | 0.126593i | ||||
\(85\) | 2.51189 | + | 0.533919i | 0.272453 | + | 0.0579116i | ||||
\(86\) | 1.63321 | − | 5.02652i | 0.176114 | − | 0.542023i | ||||
\(87\) | −1.60514 | + | 2.78018i | −0.172089 | + | 0.298067i | ||||
\(88\) | −1.26534 | − | 2.19163i | −0.134886 | − | 0.233629i | ||||
\(89\) | −8.95260 | + | 1.90293i | −0.948973 | + | 0.201711i | −0.656298 | − | 0.754501i | \(-0.727879\pi\) |
−0.292675 | + | 0.956212i | \(0.594545\pi\) | |||||||
\(90\) | −1.05435 | − | 0.766030i | −0.111138 | − | 0.0807466i | ||||
\(91\) | 8.15865 | + | 10.6444i | 0.855259 | + | 1.11583i | ||||
\(92\) | 3.01224 | 0.314047 | ||||||||
\(93\) | −2.25238 | − | 4.80819i | −0.233560 | − | 0.498586i | ||||
\(94\) | 4.17146 | + | 7.22518i | 0.430253 | + | 0.745221i | ||||
\(95\) | −0.628618 | − | 5.98090i | −0.0644949 | − | 0.613628i | ||||
\(96\) | −4.41914 | − | 3.21069i | −0.451026 | − | 0.327690i | ||||
\(97\) | −1.12892 | − | 1.25380i | −0.114625 | − | 0.127304i | 0.683101 | − | 0.730323i | \(-0.260631\pi\) |
−0.797726 | + | 0.603020i | \(0.793964\pi\) | |||||||
\(98\) | 2.23291 | − | 3.86750i | 0.225557 | − | 0.390677i | ||||
\(99\) | −2.26642 | −0.227784 | ||||||||
\(100\) | 4.30489 | + | 4.78107i | 0.430489 | + | 0.478107i | ||||
\(101\) | −7.74097 | + | 8.59722i | −0.770255 | + | 0.855455i | −0.992839 | − | 0.119458i | \(-0.961884\pi\) |
0.222584 | + | 0.974914i | \(0.428551\pi\) | |||||||
\(102\) | −1.12186 | + | 1.24596i | −0.111081 | + | 0.123368i | ||||
\(103\) | −2.88015 | + | 2.09255i | −0.283790 | + | 0.206185i | −0.720569 | − | 0.693383i | \(-0.756119\pi\) |
0.436779 | + | 0.899569i | \(0.356119\pi\) | |||||||
\(104\) | 1.96042 | + | 8.18509i | 0.192235 | + | 0.802614i | ||||
\(105\) | 2.73839 | − | 1.98956i | 0.267240 | − | 0.194161i | ||||
\(106\) | 0.911923 | − | 8.67636i | 0.0885737 | − | 0.842723i | ||||
\(107\) | −7.94566 | + | 8.82455i | −0.768136 | + | 0.853102i | −0.992606 | − | 0.121379i | \(-0.961268\pi\) |
0.224470 | + | 0.974481i | \(0.427935\pi\) | |||||||
\(108\) | −6.97696 | + | 3.10634i | −0.671359 | + | 0.298908i | ||||
\(109\) | 0.761338 | + | 0.553144i | 0.0729229 | + | 0.0529816i | 0.623649 | − | 0.781704i | \(-0.285649\pi\) |
−0.550727 | + | 0.834686i | \(0.685649\pi\) | |||||||
\(110\) | 0.661054 | + | 0.140511i | 0.0630290 | + | 0.0133972i | ||||
\(111\) | 0.923736 | − | 0.411274i | 0.0876772 | − | 0.0390364i | ||||
\(112\) | −4.87930 | + | 3.54502i | −0.461051 | + | 0.334973i | ||||
\(113\) | −1.02977 | − | 1.14368i | −0.0968730 | − | 0.107588i | 0.692759 | − | 0.721169i | \(-0.256395\pi\) |
−0.789632 | + | 0.613581i | \(0.789728\pi\) | |||||||
\(114\) | 3.58687 | + | 1.59698i | 0.335941 | + | 0.149571i | ||||
\(115\) | −1.22255 | + | 1.35778i | −0.114003 | + | 0.126613i | ||||
\(116\) | 1.63656 | + | 5.03680i | 0.151950 | + | 0.467655i | ||||
\(117\) | 7.22616 | + | 2.14470i | 0.668058 | + | 0.198278i | ||||
\(118\) | −4.70288 | −0.432935 | ||||||||
\(119\) | 5.00514 | + | 8.66916i | 0.458820 | + | 0.794700i | ||||
\(120\) | 2.07780 | − | 0.441650i | 0.189676 | − | 0.0403169i | ||||
\(121\) | −8.97532 | + | 3.99607i | −0.815938 | + | 0.363279i | ||||
\(122\) | −2.67964 | + | 1.94688i | −0.242604 | + | 0.176262i | ||||
\(123\) | 1.92658 | − | 3.33693i | 0.173714 | − | 0.300881i | ||||
\(124\) | −8.38102 | − | 2.54626i | −0.752638 | − | 0.228661i | ||||
\(125\) | −8.67343 | −0.775775 | ||||||||
\(126\) | −0.531021 | − | 5.05232i | −0.0473071 | − | 0.450097i | ||||
\(127\) | 0.992067 | − | 9.43888i | 0.0880317 | − | 0.837565i | −0.858035 | − | 0.513592i | \(-0.828314\pi\) |
0.946066 | − | 0.323973i | \(-0.105019\pi\) | |||||||
\(128\) | −10.8866 | + | 2.31401i | −0.962247 | + | 0.204532i | ||||
\(129\) | 7.71501 | 0.679268 | ||||||||
\(130\) | −1.97471 | − | 1.07355i | −0.173193 | − | 0.0941567i | ||||
\(131\) | −5.20278 | + | 16.0125i | −0.454569 | + | 1.39902i | 0.417071 | + | 0.908874i | \(0.363057\pi\) |
−0.871640 | + | 0.490147i | \(0.836943\pi\) | |||||||
\(132\) | 1.08831 | − | 1.20869i | 0.0947252 | − | 0.105203i | ||||
\(133\) | 15.6860 | − | 17.4211i | 1.36015 | − | 1.51060i | ||||
\(134\) | −1.06004 | − | 10.0856i | −0.0915738 | − | 0.871267i | ||||
\(135\) | 1.43148 | − | 4.40564i | 0.123202 | − | 0.379177i | ||||
\(136\) | 0.656662 | + | 6.24772i | 0.0563083 | + | 0.535738i | ||||
\(137\) | 13.6219 | − | 6.06487i | 1.16380 | − | 0.518157i | 0.268350 | − | 0.963321i | \(-0.413522\pi\) |
0.895449 | + | 0.445165i | \(0.146855\pi\) | |||||||
\(138\) | −0.368613 | − | 1.13447i | −0.0313784 | − | 0.0965728i | ||||
\(139\) | 12.6997 | − | 5.65428i | 1.07718 | − | 0.479590i | 0.210056 | − | 0.977689i | \(-0.432635\pi\) |
0.867120 | + | 0.498100i | \(0.165969\pi\) | |||||||
\(140\) | 0.583686 | − | 5.55340i | 0.0493304 | − | 0.469348i | ||||
\(141\) | −8.14901 | + | 9.05039i | −0.686270 | + | 0.762180i | ||||
\(142\) | 7.51741 | + | 5.46172i | 0.630847 | + | 0.458337i | ||||
\(143\) | −3.87564 | + | 0.508122i | −0.324098 | + | 0.0424913i | ||||
\(144\) | −1.04748 | + | 3.22382i | −0.0872902 | + | 0.268652i | ||||
\(145\) | −2.93457 | − | 1.30656i | −0.243703 | − | 0.108504i | ||||
\(146\) | −3.71480 | + | 4.12570i | −0.307439 | + | 0.341445i | ||||
\(147\) | 6.37647 | + | 1.35536i | 0.525922 | + | 0.111788i | ||||
\(148\) | 0.515474 | − | 1.58646i | 0.0423717 | − | 0.130407i | ||||
\(149\) | −8.59154 | + | 14.8810i | −0.703847 | + | 1.21910i | 0.263260 | + | 0.964725i | \(0.415202\pi\) |
−0.967106 | + | 0.254373i | \(0.918131\pi\) | |||||||
\(150\) | 1.27386 | − | 2.20639i | 0.104010 | − | 0.180151i | ||||
\(151\) | −0.581715 | + | 1.79034i | −0.0473393 | + | 0.145695i | −0.971932 | − | 0.235261i | \(-0.924405\pi\) |
0.924593 | + | 0.380957i | \(0.124405\pi\) | |||||||
\(152\) | 13.4398 | − | 5.98380i | 1.09011 | − | 0.485350i | ||||
\(153\) | 5.13973 | + | 2.28836i | 0.415523 | + | 0.185003i | ||||
\(154\) | 1.31720 | + | 2.28146i | 0.106143 | + | 0.183845i | ||||
\(155\) | 4.54926 | − | 2.74435i | 0.365406 | − | 0.220432i | ||||
\(156\) | −4.61369 | + | 2.82387i | −0.369391 | + | 0.226091i | ||||
\(157\) | 7.70841 | − | 5.60049i | 0.615198 | − | 0.446967i | −0.236043 | − | 0.971743i | \(-0.575851\pi\) |
0.851241 | + | 0.524775i | \(0.175851\pi\) | |||||||
\(158\) | −1.16437 | + | 11.0782i | −0.0926321 | + | 0.881336i | ||||
\(159\) | 12.4567 | − | 2.64775i | 0.987881 | − | 0.209981i | ||||
\(160\) | 2.73289 | − | 4.73351i | 0.216054 | − | 0.374217i | ||||
\(161\) | −7.12205 | −0.561296 | ||||||||
\(162\) | −0.717908 | − | 0.797317i | −0.0564041 | − | 0.0626432i | ||||
\(163\) | −21.7057 | − | 4.61369i | −1.70012 | − | 0.361372i | −0.747202 | − | 0.664597i | \(-0.768603\pi\) |
−0.952919 | + | 0.303225i | \(0.901937\pi\) | |||||||
\(164\) | −1.96429 | − | 6.04546i | −0.153385 | − | 0.472071i | ||||
\(165\) | 0.103120 | + | 0.981120i | 0.00802787 | + | 0.0763801i | ||||
\(166\) | −1.96781 | + | 0.418270i | −0.152731 | + | 0.0324640i | ||||
\(167\) | −19.1445 | − | 8.52368i | −1.48145 | − | 0.659582i | −0.502663 | − | 0.864483i | \(-0.667646\pi\) |
−0.978783 | + | 0.204900i | \(0.934313\pi\) | |||||||
\(168\) | 6.69895 | + | 4.86707i | 0.516835 | + | 0.375503i | ||||
\(169\) | 12.8378 | + | 2.04743i | 0.987520 | + | 0.157495i | ||||
\(170\) | −1.35725 | − | 0.986099i | −0.104096 | − | 0.0756304i | ||||
\(171\) | 1.37721 | − | 13.1033i | 0.105318 | − | 1.00204i | ||||
\(172\) | 8.51635 | − | 9.45837i | 0.649366 | − | 0.721194i | ||||
\(173\) | 0.997086 | − | 0.443931i | 0.0758070 | − | 0.0337515i | −0.368483 | − | 0.929635i | \(-0.620123\pi\) |
0.444290 | + | 0.895883i | \(0.353456\pi\) | |||||||
\(174\) | 1.69670 | − | 1.23273i | 0.128627 | − | 0.0934527i | ||||
\(175\) | −10.1784 | − | 11.3042i | −0.769413 | − | 0.854520i | ||||
\(176\) | −0.183740 | − | 1.74817i | −0.0138499 | − | 0.131773i | ||||
\(177\) | −2.12140 | − | 6.52899i | −0.159454 | − | 0.490749i | ||||
\(178\) | 5.84864 | + | 1.24317i | 0.438374 | + | 0.0931792i | ||||
\(179\) | 1.80513 | − | 0.383692i | 0.134922 | − | 0.0286785i | −0.139956 | − | 0.990158i | \(-0.544696\pi\) |
0.274877 | + | 0.961479i | \(0.411363\pi\) | |||||||
\(180\) | −1.56920 | − | 2.71794i | −0.116961 | − | 0.202583i | ||||
\(181\) | 12.2280 | 0.908898 | 0.454449 | − | 0.890773i | \(-0.349836\pi\) | ||||
0.454449 | + | 0.890773i | \(0.349836\pi\) | |||||||
\(182\) | −2.04077 | − | 8.52056i | −0.151272 | − | 0.631586i | ||||
\(183\) | −3.91158 | − | 2.84193i | −0.289153 | − | 0.210082i | ||||
\(184\) | −4.08316 | − | 1.81794i | −0.301014 | − | 0.134020i | ||||
\(185\) | 0.505895 | + | 0.876236i | 0.0371941 | + | 0.0644221i | ||||
\(186\) | 0.0666230 | + | 3.46807i | 0.00488503 | + | 0.254291i | ||||
\(187\) | −2.91753 | −0.213351 | ||||||||
\(188\) | 2.10007 | + | 19.9809i | 0.153164 | + | 1.45726i | ||||
\(189\) | 16.4961 | − | 7.34456i | 1.19992 | − | 0.534238i | ||||
\(190\) | −1.21406 | + | 3.73650i | −0.0880772 | + | 0.271074i | ||||
\(191\) | −10.4409 | + | 18.0842i | −0.755478 | + | 1.30853i | 0.189659 | + | 0.981850i | \(0.439262\pi\) |
−0.945136 | + | 0.326676i | \(0.894071\pi\) | |||||||
\(192\) | 0.238006 | + | 0.412238i | 0.0171766 | + | 0.0297507i | ||||
\(193\) | 9.98870 | − | 2.12316i | 0.719002 | − | 0.152829i | 0.166141 | − | 0.986102i | \(-0.446869\pi\) |
0.552861 | + | 0.833273i | \(0.313536\pi\) | |||||||
\(194\) | 0.340597 | + | 1.04825i | 0.0244535 | + | 0.0752600i | ||||
\(195\) | 0.599646 | − | 3.22574i | 0.0429416 | − | 0.231000i | ||||
\(196\) | 8.70041 | − | 6.32122i | 0.621458 | − | 0.451516i | ||||
\(197\) | −5.00069 | + | 1.06293i | −0.356285 | + | 0.0757306i | −0.382577 | − | 0.923924i | \(-0.624963\pi\) |
0.0262923 | + | 0.999654i | \(0.491630\pi\) | |||||||
\(198\) | 1.35262 | + | 0.602226i | 0.0961267 | + | 0.0427984i | ||||
\(199\) | −2.02769 | + | 0.902784i | −0.143739 | + | 0.0639967i | −0.477345 | − | 0.878716i | \(-0.658401\pi\) |
0.333607 | + | 0.942712i | \(0.391734\pi\) | |||||||
\(200\) | −2.94993 | − | 9.07894i | −0.208591 | − | 0.641978i | ||||
\(201\) | 13.5237 | − | 6.02113i | 0.953887 | − | 0.424698i | ||||
\(202\) | 6.90431 | − | 3.07400i | 0.485785 | − | 0.216286i | ||||
\(203\) | −3.86943 | − | 11.9089i | −0.271581 | − | 0.835839i | ||||
\(204\) | −3.68843 | + | 1.64219i | −0.258242 | + | 0.114977i | ||||
\(205\) | 3.52224 | + | 1.56820i | 0.246004 | + | 0.109528i | ||||
\(206\) | 2.27493 | − | 0.483551i | 0.158502 | − | 0.0336906i | ||||
\(207\) | −3.23837 | + | 2.35282i | −0.225082 | + | 0.163532i | ||||
\(208\) | −1.06846 | + | 5.74766i | −0.0740842 | + | 0.398529i | ||||
\(209\) | 2.11132 | + | 6.49798i | 0.146043 | + | 0.449475i | ||||
\(210\) | −2.16296 | + | 0.459751i | −0.149258 | + | 0.0317258i | ||||
\(211\) | 2.08747 | + | 3.61561i | 0.143708 | + | 0.248909i | 0.928890 | − | 0.370356i | \(-0.120764\pi\) |
−0.785182 | + | 0.619264i | \(0.787431\pi\) | |||||||
\(212\) | 10.5045 | − | 18.1943i | 0.721452 | − | 1.24959i | ||||
\(213\) | −4.19149 | + | 12.9001i | −0.287196 | + | 0.883899i | ||||
\(214\) | 7.08688 | − | 3.15528i | 0.484449 | − | 0.215691i | ||||
\(215\) | 0.806944 | + | 7.67756i | 0.0550331 | + | 0.523605i | ||||
\(216\) | 11.3322 | 0.771057 | ||||||||
\(217\) | 19.8159 | + | 6.02031i | 1.34519 | + | 0.408686i | ||||
\(218\) | −0.307394 | − | 0.532422i | −0.0208194 | − | 0.0360602i | ||||
\(219\) | −7.40338 | − | 3.29620i | −0.500274 | − | 0.222736i | ||||
\(220\) | 1.31665 | + | 0.956605i | 0.0887688 | + | 0.0644943i | ||||
\(221\) | 9.30213 | + | 2.76085i | 0.625729 | + | 0.185715i | ||||
\(222\) | −0.660577 | −0.0443350 | ||||||||
\(223\) | 1.20340 | + | 2.08434i | 0.0805854 | + | 0.139578i | 0.903502 | − | 0.428585i | \(-0.140988\pi\) |
−0.822916 | + | 0.568163i | \(0.807654\pi\) | |||||||
\(224\) | 20.8404 | − | 4.42977i | 1.39246 | − | 0.295976i | ||||
\(225\) | −8.36250 | − | 1.77750i | −0.557500 | − | 0.118500i | ||||
\(226\) | 0.310684 | + | 0.956188i | 0.0206664 | + | 0.0636047i | ||||
\(227\) | −1.20833 | − | 11.4965i | −0.0801994 | − | 0.763046i | −0.958530 | − | 0.284992i | \(-0.908009\pi\) |
0.878330 | − | 0.478054i | \(-0.158658\pi\) | |||||||
\(228\) | 6.32672 | + | 7.02653i | 0.418997 | + | 0.465343i | ||||
\(229\) | 6.82750 | − | 4.96047i | 0.451174 | − | 0.327797i | −0.338885 | − | 0.940828i | \(-0.610050\pi\) |
0.790059 | + | 0.613031i | \(0.210050\pi\) | |||||||
\(230\) | 1.09041 | − | 0.485483i | 0.0718997 | − | 0.0320118i | ||||
\(231\) | −2.57317 | + | 2.85779i | −0.169302 | + | 0.188029i | ||||
\(232\) | 0.821410 | − | 7.81520i | 0.0539282 | − | 0.513093i | ||||
\(233\) | 8.14746 | + | 5.91948i | 0.533758 | + | 0.387798i | 0.821762 | − | 0.569831i | \(-0.192991\pi\) |
−0.288004 | + | 0.957629i | \(0.592991\pi\) | |||||||
\(234\) | −3.74275 | − | 3.20009i | −0.244672 | − | 0.209196i | ||||
\(235\) | −9.85880 | − | 7.16283i | −0.643117 | − | 0.467252i | ||||
\(236\) | −10.3461 | − | 4.60638i | −0.673473 | − | 0.299850i | ||||
\(237\) | −15.9051 | + | 3.38073i | −1.03315 | + | 0.219602i | ||||
\(238\) | −0.683575 | − | 6.50378i | −0.0443096 | − | 0.421578i | ||||
\(239\) | −4.28959 | − | 13.2020i | −0.277470 | − | 0.853966i | −0.988555 | − | 0.150860i | \(-0.951796\pi\) |
0.711085 | − | 0.703106i | \(-0.248204\pi\) | |||||||
\(240\) | 1.44323 | + | 0.306768i | 0.0931602 | + | 0.0198018i | ||||
\(241\) | −3.21149 | − | 3.56672i | −0.206870 | − | 0.229753i | 0.630777 | − | 0.775964i | \(-0.282736\pi\) |
−0.837647 | + | 0.546211i | \(0.816070\pi\) | |||||||
\(242\) | 6.41838 | 0.412589 | ||||||||
\(243\) | 8.06490 | − | 13.9688i | 0.517363 | − | 0.896100i | ||||
\(244\) | −7.80200 | + | 1.65837i | −0.499472 | + | 0.106166i | ||||
\(245\) | −0.681840 | + | 6.48728i | −0.0435612 | + | 0.414457i | ||||
\(246\) | −2.03648 | + | 1.47959i | −0.129841 | + | 0.0943351i | ||||
\(247\) | −0.582633 | − | 22.7158i | −0.0370721 | − | 1.44537i | ||||
\(248\) | 9.82396 | + | 8.50962i | 0.623822 | + | 0.540361i | ||||
\(249\) | −1.46833 | − | 2.54322i | −0.0930516 | − | 0.161170i | ||||
\(250\) | 5.17639 | + | 2.30468i | 0.327383 | + | 0.145760i | ||||
\(251\) | −7.14668 | + | 3.18191i | −0.451095 | + | 0.200840i | −0.619693 | − | 0.784845i | \(-0.712743\pi\) |
0.168598 | + | 0.985685i | \(0.446076\pi\) | |||||||
\(252\) | 3.78043 | − | 11.6350i | 0.238145 | − | 0.732934i | ||||
\(253\) | 1.03787 | − | 1.79765i | 0.0652505 | − | 0.113017i | ||||
\(254\) | −3.10014 | + | 5.36961i | −0.194520 | + | 0.336919i | ||||
\(255\) | 0.756763 | − | 2.32908i | 0.0473903 | − | 0.145852i | ||||
\(256\) | 8.08859 | + | 1.71928i | 0.505537 | + | 0.107455i | ||||
\(257\) | −7.97486 | + | 8.85698i | −0.497458 | + | 0.552483i | −0.938624 | − | 0.344942i | \(-0.887898\pi\) |
0.441166 | + | 0.897426i | \(0.354565\pi\) | |||||||
\(258\) | −4.60439 | − | 2.05001i | −0.286657 | − | 0.127628i | ||||
\(259\) | −1.21877 | + | 3.75099i | −0.0757308 | + | 0.233075i | ||||
\(260\) | −3.29273 | − | 4.29594i | −0.204206 | − | 0.266423i | ||||
\(261\) | −5.69359 | − | 4.13664i | −0.352425 | − | 0.256051i | ||||
\(262\) | 7.35987 | − | 8.17396i | 0.454694 | − | 0.504989i | ||||
\(263\) | 2.62772 | − | 25.0011i | 0.162032 | − | 1.54164i | −0.547406 | − | 0.836867i | \(-0.684385\pi\) |
0.709438 | − | 0.704768i | \(-0.248949\pi\) | |||||||
\(264\) | −2.20470 | + | 0.981594i | −0.135690 | + | 0.0604129i | ||||
\(265\) | 3.93780 | + | 12.1193i | 0.241897 | + | 0.744483i | ||||
\(266\) | −13.9907 | + | 6.22904i | −0.857822 | + | 0.381927i | ||||
\(267\) | 0.912348 | + | 8.68041i | 0.0558348 | + | 0.531232i | ||||
\(268\) | 7.54663 | − | 23.2262i | 0.460984 | − | 1.41876i | ||||
\(269\) | 0.776028 | + | 7.38341i | 0.0473152 | + | 0.450174i | 0.992373 | + | 0.123271i | \(0.0393385\pi\) |
−0.945058 | + | 0.326903i | \(0.893995\pi\) | |||||||
\(270\) | −2.02497 | + | 2.24896i | −0.123236 | + | 0.136867i | ||||
\(271\) | −17.3279 | + | 19.2446i | −1.05259 | + | 1.16902i | −0.0673742 | + | 0.997728i | \(0.521462\pi\) |
−0.985220 | + | 0.171296i | \(0.945205\pi\) | |||||||
\(272\) | −1.34841 | + | 4.14998i | −0.0817594 | + | 0.251629i | ||||
\(273\) | 10.9085 | − | 6.67668i | 0.660212 | − | 0.404091i | ||||
\(274\) | −9.74123 | −0.588489 | ||||||||
\(275\) | 4.33652 | − | 0.921756i | 0.261502 | − | 0.0555840i | ||||
\(276\) | 0.300265 | − | 2.85683i | 0.0180738 | − | 0.171961i | ||||
\(277\) | 2.31791 | + | 22.0535i | 0.139270 | + | 1.32507i | 0.811339 | + | 0.584576i | \(0.198739\pi\) |
−0.672069 | + | 0.740489i | \(0.734594\pi\) | |||||||
\(278\) | −9.08175 | −0.544687 | ||||||||
\(279\) | 10.9991 | − | 3.80888i | 0.658496 | − | 0.228032i | ||||
\(280\) | −4.14278 | + | 7.17550i | −0.247578 | + | 0.428818i | ||||
\(281\) | −14.3705 | + | 10.4407i | −0.857269 | + | 0.622843i | −0.927141 | − | 0.374713i | \(-0.877741\pi\) |
0.0698713 | + | 0.997556i | \(0.477741\pi\) | |||||||
\(282\) | 7.26825 | − | 3.23603i | 0.432818 | − | 0.192703i | ||||
\(283\) | −14.5248 | + | 3.08734i | −0.863410 | + | 0.183524i | −0.618272 | − | 0.785964i | \(-0.712167\pi\) |
−0.245139 | + | 0.969488i | \(0.578834\pi\) | |||||||
\(284\) | 11.1883 | + | 19.3786i | 0.663901 | + | 1.14991i | ||||
\(285\) | −5.73500 | −0.339712 | ||||||||
\(286\) | 2.44804 | + | 0.726571i | 0.144756 | + | 0.0429631i | ||||
\(287\) | 4.64431 | + | 14.2937i | 0.274145 | + | 0.843731i | ||||
\(288\) | 8.01267 | − | 8.89898i | 0.472151 | − | 0.524377i | ||||
\(289\) | −8.91397 | − | 3.96875i | −0.524351 | − | 0.233456i | ||||
\(290\) | 1.40421 | + | 1.55953i | 0.0824579 | + | 0.0915788i | ||||
\(291\) | −1.30164 | + | 0.945700i | −0.0763037 | + | 0.0554379i | ||||
\(292\) | −12.2134 | + | 5.43775i | −0.714735 | + | 0.318220i | ||||
\(293\) | −3.42154 | − | 0.727272i | −0.199889 | − | 0.0424877i | 0.106879 | − | 0.994272i | \(-0.465914\pi\) |
−0.306768 | + | 0.951784i | \(0.599248\pi\) | |||||||
\(294\) | −3.44540 | − | 2.50323i | −0.200940 | − | 0.145991i | ||||
\(295\) | 6.27541 | − | 2.79399i | 0.365369 | − | 0.162673i | ||||
\(296\) | −1.65620 | + | 1.83939i | −0.0962645 | + | 0.106913i | ||||
\(297\) | −0.550119 | + | 5.23403i | −0.0319211 | + | 0.303709i | ||||
\(298\) | 9.08164 | − | 6.59820i | 0.526085 | − | 0.382223i | ||||
\(299\) | −5.01021 | + | 4.74941i | −0.289748 | + | 0.274665i | ||||
\(300\) | 4.96353 | − | 3.60621i | 0.286569 | − | 0.208205i | ||||
\(301\) | −20.1358 | + | 22.3631i | −1.16061 | + | 1.28899i | ||||
\(302\) | 0.822895 | − | 0.913918i | 0.0473523 | − | 0.0525901i | ||||
\(303\) | 7.38204 | + | 8.19859i | 0.424087 | + | 0.470997i | ||||
\(304\) | 10.2187 | 0.586083 | ||||||||
\(305\) | 2.41901 | − | 4.18985i | 0.138512 | − | 0.239910i | ||||
\(306\) | −2.45939 | − | 2.73143i | −0.140594 | − | 0.156145i | ||||
\(307\) | 0.309403 | + | 0.224794i | 0.0176586 | + | 0.0128297i | 0.596580 | − | 0.802554i | \(-0.296526\pi\) |
−0.578921 | + | 0.815384i | \(0.696526\pi\) | |||||||
\(308\) | 0.663130 | + | 6.30926i | 0.0377853 | + | 0.359503i | ||||
\(309\) | 1.69750 | + | 2.94015i | 0.0965672 | + | 0.167259i | ||||
\(310\) | −3.44426 | + | 0.429039i | −0.195621 | + | 0.0243678i | ||||
\(311\) | −8.42206 | −0.477571 | −0.238786 | − | 0.971072i | \(-0.576749\pi\) | ||||
−0.238786 | + | 0.971072i | \(0.576749\pi\) | |||||||
\(312\) | 7.95823 | − | 1.04338i | 0.450546 | − | 0.0590695i | ||||
\(313\) | −17.1143 | − | 12.4342i | −0.967356 | − | 0.702825i | −0.0125082 | − | 0.999922i | \(-0.503982\pi\) |
−0.954847 | + | 0.297097i | \(0.903982\pi\) | |||||||
\(314\) | −6.08859 | + | 1.29417i | −0.343599 | + | 0.0730343i | ||||
\(315\) | 3.71018 | + | 6.42622i | 0.209045 | + | 0.362076i | ||||
\(316\) | −13.4124 | + | 23.2310i | −0.754508 | + | 1.30685i | ||||
\(317\) | 4.98604 | − | 15.3454i | 0.280044 | − | 0.861886i | −0.707797 | − | 0.706416i | \(-0.750311\pi\) |
0.987841 | − | 0.155470i | \(-0.0496891\pi\) | |||||||
\(318\) | −8.13784 | − | 1.72975i | −0.456347 | − | 0.0969996i | ||||
\(319\) | 3.56976 | + | 0.758775i | 0.199868 | + | 0.0424832i | ||||
\(320\) | −0.385343 | + | 0.279968i | −0.0215413 | + | 0.0156507i | ||||
\(321\) | 7.57725 | + | 8.41538i | 0.422921 | + | 0.469701i | ||||
\(322\) | 4.25051 | + | 1.89245i | 0.236871 | + | 0.105462i | ||||
\(323\) | 1.77287 | − | 16.8677i | 0.0986450 | − | 0.938544i | ||||
\(324\) | −0.798403 | − | 2.45723i | −0.0443557 | − | 0.136513i | ||||
\(325\) | −14.6986 | − | 1.16475i | −0.815333 | − | 0.0646084i | ||||
\(326\) | 11.7282 | + | 8.52106i | 0.649567 | + | 0.471938i | ||||
\(327\) | 0.600498 | − | 0.666921i | 0.0332076 | − | 0.0368808i | ||||
\(328\) | −0.985904 | + | 9.38025i | −0.0544374 | + | 0.517937i | ||||
\(329\) | −4.96536 | − | 47.2422i | −0.273749 | − | 2.60455i | ||||
\(330\) | 0.199157 | − | 0.612942i | 0.0109632 | − | 0.0337414i | ||||
\(331\) | 1.48322 | + | 14.1118i | 0.0815249 | + | 0.775657i | 0.956548 | + | 0.291576i | \(0.0941796\pi\) |
−0.875023 | + | 0.484082i | \(0.839154\pi\) | |||||||
\(332\) | −4.73875 | − | 1.00725i | −0.260073 | − | 0.0552802i | ||||
\(333\) | 0.684994 | + | 2.10819i | 0.0375374 | + | 0.115528i | ||||
\(334\) | 9.16074 | + | 10.1740i | 0.501253 | + | 0.556698i | ||||
\(335\) | 7.40640 | + | 12.8283i | 0.404655 | + | 0.700883i | ||||
\(336\) | 2.87575 | + | 4.98095i | 0.156885 | + | 0.271733i | ||||
\(337\) | −5.33684 | + | 16.4251i | −0.290716 | + | 0.894733i | 0.693911 | + | 0.720061i | \(0.255886\pi\) |
−0.984627 | + | 0.174671i | \(0.944114\pi\) | |||||||
\(338\) | −7.11766 | − | 4.63313i | −0.387150 | − | 0.252009i | ||||
\(339\) | −1.18733 | + | 0.862643i | −0.0644867 | + | 0.0468523i | ||||
\(340\) | −2.02001 | − | 3.49876i | −0.109550 | − | 0.189747i | ||||
\(341\) | −4.40727 | + | 4.12433i | −0.238667 | + | 0.223345i | ||||
\(342\) | −4.30370 | + | 7.45423i | −0.232718 | + | 0.403079i | ||||
\(343\) | 0.493872 | − | 0.358819i | 0.0266666 | − | 0.0193744i | ||||
\(344\) | −17.2524 | + | 7.68127i | −0.930188 | + | 0.414146i | ||||
\(345\) | 1.16586 | + | 1.29482i | 0.0627679 | + | 0.0697108i | ||||
\(346\) | −0.713030 | −0.0383328 | ||||||||
\(347\) | 5.78305 | − | 10.0165i | 0.310450 | − | 0.537716i | −0.668010 | − | 0.744153i | \(-0.732854\pi\) |
0.978460 | + | 0.206437i | \(0.0661868\pi\) | |||||||
\(348\) | 4.94008 | − | 1.05005i | 0.264816 | − | 0.0562884i | ||||
\(349\) | −0.504774 | + | 0.560608i | −0.0270199 | + | 0.0300087i | −0.756503 | − | 0.653990i | \(-0.773094\pi\) |
0.729483 | + | 0.683999i | \(0.239761\pi\) | |||||||
\(350\) | 3.07083 | + | 9.45104i | 0.164143 | + | 0.505179i | ||||
\(351\) | 6.70691 | − | 16.1674i | 0.357988 | − | 0.862950i | ||||
\(352\) | −1.91891 | + | 5.90579i | −0.102278 | + | 0.314780i | ||||
\(353\) | −2.91500 | − | 1.29784i | −0.155150 | − | 0.0690771i | 0.327693 | − | 0.944784i | \(-0.393729\pi\) |
−0.482842 | + | 0.875707i | \(0.660396\pi\) | |||||||
\(354\) | −0.468792 | + | 4.46025i | −0.0249160 | + | 0.237060i | ||||
\(355\) | −13.2759 | − | 2.82187i | −0.704610 | − | 0.149769i | ||||
\(356\) | 11.6490 | + | 8.46352i | 0.617397 | + | 0.448565i | ||||
\(357\) | 8.72082 | − | 3.88276i | 0.461555 | − | 0.205497i | ||||
\(358\) | −1.17927 | − | 0.250662i | −0.0623264 | − | 0.0132479i | ||||
\(359\) | −9.39994 | − | 6.82945i | −0.496110 | − | 0.360445i | 0.311419 | − | 0.950273i | \(-0.399196\pi\) |
−0.807529 | + | 0.589828i | \(0.799196\pi\) | |||||||
\(360\) | 0.486766 | + | 4.63127i | 0.0256548 | + | 0.244089i | ||||
\(361\) | −20.2662 | + | 4.30771i | −1.06664 | + | 0.226722i | ||||
\(362\) | −7.29777 | − | 3.24918i | −0.383562 | − | 0.170773i | ||||
\(363\) | 2.89523 | + | 8.91060i | 0.151960 | + | 0.467685i | ||||
\(364\) | 3.85613 | − | 20.7437i | 0.202116 | − | 1.08726i | ||||
\(365\) | 2.50585 | − | 7.71220i | 0.131162 | − | 0.403675i | ||||
\(366\) | 1.57932 | + | 2.73547i | 0.0825525 | + | 0.142985i | ||||
\(367\) | −10.1696 | − | 17.6143i | −0.530851 | − | 0.919460i | −0.999352 | − | 0.0359973i | \(-0.988539\pi\) |
0.468501 | − | 0.883463i | \(-0.344794\pi\) | |||||||
\(368\) | −2.07735 | − | 2.30713i | −0.108289 | − | 0.120267i | ||||
\(369\) | 6.83378 | + | 4.96503i | 0.355752 | + | 0.258469i | ||||
\(370\) | −0.0690924 | − | 0.657370i | −0.00359194 | − | 0.0341751i | ||||
\(371\) | −24.8365 | + | 43.0182i | −1.28945 | + | 2.23339i | ||||
\(372\) | −3.25033 | + | 7.69482i | −0.168522 | + | 0.398958i | ||||
\(373\) | −9.00399 | + | 15.5954i | −0.466209 | + | 0.807498i | −0.999255 | − | 0.0385883i | \(-0.987714\pi\) |
0.533046 | + | 0.846086i | \(0.321047\pi\) | |||||||
\(374\) | 1.74121 | + | 0.775237i | 0.0900359 | + | 0.0400866i | ||||
\(375\) | −0.864583 | + | 8.22596i | −0.0446469 | + | 0.424786i | ||||
\(376\) | 9.21212 | − | 28.3520i | 0.475079 | − | 1.46214i | ||||
\(377\) | −10.6636 | − | 5.79729i | −0.549204 | − | 0.298575i | ||||
\(378\) | −11.7966 | −0.606753 | ||||||||
\(379\) | 4.17849 | − | 0.888165i | 0.214635 | − | 0.0456220i | −0.0993393 | − | 0.995054i | \(-0.531673\pi\) |
0.313974 | + | 0.949432i | \(0.398340\pi\) | |||||||
\(380\) | −6.33069 | + | 7.03094i | −0.324757 | + | 0.360680i | ||||
\(381\) | −8.85303 | − | 1.88177i | −0.453554 | − | 0.0964060i | ||||
\(382\) | 11.0365 | − | 8.01849i | 0.564677 | − | 0.410262i | ||||
\(383\) | 9.33134 | + | 10.3635i | 0.476809 | + | 0.529550i | 0.932781 | − | 0.360444i | \(-0.117375\pi\) |
−0.455972 | + | 0.889994i | \(0.650708\pi\) | |||||||
\(384\) | 1.10944 | + | 10.5556i | 0.0566157 | + | 0.538663i | ||||
\(385\) | −3.11306 | − | 2.26177i | −0.158656 | − | 0.115271i | ||||
\(386\) | −6.52551 | − | 1.38704i | −0.332140 | − | 0.0705985i | ||||
\(387\) | −1.76790 | + | 16.8204i | −0.0898674 | + | 0.855031i | ||||
\(388\) | −0.277444 | + | 2.63970i | −0.0140851 | + | 0.134011i | ||||
\(389\) | 9.44097 | + | 29.0563i | 0.478676 | + | 1.47321i | 0.840935 | + | 0.541136i | \(0.182006\pi\) |
−0.362259 | + | 0.932078i | \(0.617994\pi\) | |||||||
\(390\) | −1.21501 | + | 1.76582i | −0.0615243 | + | 0.0894156i | ||||
\(391\) | −4.16871 | + | 3.02875i | −0.210821 | + | 0.153170i | ||||
\(392\) | −15.6086 | + | 3.31771i | −0.788353 | + | 0.167570i | ||||
\(393\) | 14.6678 | + | 6.53052i | 0.739892 | + | 0.329421i | ||||
\(394\) | 3.26690 | + | 0.694401i | 0.164584 | + | 0.0349834i | ||||
\(395\) | −5.02789 | − | 15.4743i | −0.252981 | − | 0.778595i | ||||
\(396\) | 2.38583 | + | 2.64973i | 0.119892 | + | 0.133154i | ||||
\(397\) | 2.36061 | − | 4.08869i | 0.118476 | − | 0.205206i | −0.800688 | − | 0.599081i | \(-0.795533\pi\) |
0.919164 | + | 0.393876i | \(0.128866\pi\) | |||||||
\(398\) | 1.45003 | 0.0726833 | ||||||||
\(399\) | −14.9587 | − | 16.6133i | −0.748873 | − | 0.831707i | ||||
\(400\) | 0.693099 | − | 6.59440i | 0.0346550 | − | 0.329720i | ||||
\(401\) | 30.9591 | + | 13.7839i | 1.54602 | + | 0.688334i | 0.989769 | − | 0.142678i | \(-0.0455712\pi\) |
0.556255 | + | 0.831012i | \(0.312238\pi\) | |||||||
\(402\) | −9.67097 | −0.482344 | ||||||||
\(403\) | 17.9548 | − | 8.97923i | 0.894390 | − | 0.447288i | ||||
\(404\) | 18.2000 | 0.905485 | ||||||||
\(405\) | 1.43165 | + | 0.637410i | 0.0711391 | + | 0.0316732i | ||||
\(406\) | −0.855076 | + | 8.13550i | −0.0424367 | + | 0.403758i | ||||
\(407\) | −0.769167 | − | 0.854246i | −0.0381262 | − | 0.0423434i | ||||
\(408\) | 5.99085 | 0.296591 | ||||||||
\(409\) | 10.0214 | − | 17.3577i | 0.495529 | − | 0.858281i | −0.504458 | − | 0.863436i | \(-0.668308\pi\) |
0.999987 | + | 0.00515528i | \(0.00164098\pi\) | |||||||
\(410\) | −1.68541 | − | 1.87184i | −0.0832364 | − | 0.0924434i | ||||
\(411\) | −4.39412 | − | 13.5237i | −0.216746 | − | 0.667075i | ||||
\(412\) | 5.47835 | + | 1.16446i | 0.269899 | + | 0.0573688i | ||||
\(413\) | 24.4620 | + | 10.8912i | 1.20370 | + | 0.535920i | ||||
\(414\) | 2.55787 | − | 0.543693i | 0.125713 | − | 0.0267210i | ||||
\(415\) | 2.37730 | − | 1.72721i | 0.116697 | − | 0.0847853i | ||||
\(416\) | 11.7068 | − | 17.0139i | 0.573972 | − | 0.834175i | ||||
\(417\) | −4.09664 | − | 12.6081i | −0.200613 | − | 0.617424i | ||||
\(418\) | 0.466565 | − | 4.43907i | 0.0228204 | − | 0.217122i | ||||
\(419\) | 1.92185 | − | 18.2852i | 0.0938887 | − | 0.893291i | −0.841640 | − | 0.540039i | \(-0.818409\pi\) |
0.935528 | − | 0.353252i | \(-0.114924\pi\) | |||||||
\(420\) | −5.20871 | − | 1.10715i | −0.254159 | − | 0.0540232i | ||||
\(421\) | −23.1187 | − | 16.7967i | −1.12674 | − | 0.818622i | −0.141520 | − | 0.989935i | \(-0.545199\pi\) |
−0.985217 | + | 0.171313i | \(0.945199\pi\) | |||||||
\(422\) | −0.285096 | − | 2.71251i | −0.0138783 | − | 0.132043i | ||||
\(423\) | −17.8645 | − | 19.8406i | −0.868603 | − | 0.964681i | ||||
\(424\) | −25.2197 | + | 18.3232i | −1.22478 | + | 0.889852i | ||||
\(425\) | −10.7649 | − | 2.28816i | −0.522176 | − | 0.110992i | ||||
\(426\) | 5.92929 | − | 6.58514i | 0.287275 | − | 0.319051i | ||||
\(427\) | 18.4468 | − | 3.92099i | 0.892705 | − | 0.189750i | ||||
\(428\) | 18.6813 | 0.902994 | ||||||||
\(429\) | 0.0955763 | + | 3.72634i | 0.00461447 | + | 0.179910i | ||||
\(430\) | 1.55846 | − | 4.79646i | 0.0751558 | − | 0.231306i | ||||
\(431\) | −1.55030 | + | 14.7501i | −0.0746754 | + | 0.710489i | 0.891573 | + | 0.452877i | \(0.149602\pi\) |
−0.966248 | + | 0.257612i | \(0.917064\pi\) | |||||||
\(432\) | 7.19078 | + | 3.20154i | 0.345966 | + | 0.154034i | ||||
\(433\) | −7.71193 | + | 13.3575i | −0.370612 | + | 0.641918i | −0.989660 | − | 0.143435i | \(-0.954185\pi\) |
0.619048 | + | 0.785353i | \(0.287519\pi\) | |||||||
\(434\) | −10.2266 | − | 8.85839i | −0.490892 | − | 0.425216i | ||||
\(435\) | −1.53167 | + | 2.65293i | −0.0734381 | + | 0.127198i | ||||
\(436\) | −0.154754 | − | 1.47239i | −0.00741137 | − | 0.0705145i | ||||
\(437\) | 9.76243 | + | 7.09282i | 0.467000 | + | 0.339296i | ||||
\(438\) | 3.54255 | + | 3.93440i | 0.169270 | + | 0.187993i | ||||
\(439\) | −0.857292 | − | 1.48487i | −0.0409163 | − | 0.0708692i | 0.844842 | − | 0.535016i | \(-0.179694\pi\) |
−0.885758 | + | 0.464147i | \(0.846361\pi\) | |||||||
\(440\) | −1.20743 | − | 2.09133i | −0.0575619 | − | 0.0997001i | ||||
\(441\) | −4.41616 | + | 13.5915i | −0.210293 | + | 0.647216i | ||||
\(442\) | −4.81799 | − | 4.11943i | −0.229169 | − | 0.195941i | ||||
\(443\) | −10.9094 | − | 33.5758i | −0.518323 | − | 1.59523i | −0.777154 | − | 0.629311i | \(-0.783337\pi\) |
0.258831 | − | 0.965923i | \(-0.416663\pi\) | |||||||
\(444\) | −1.45323 | − | 0.647021i | −0.0689674 | − | 0.0307063i | ||||
\(445\) | −8.54285 | + | 1.81584i | −0.404970 | + | 0.0860790i | ||||
\(446\) | −0.164354 | − | 1.56372i | −0.00778237 | − | 0.0740443i | ||||
\(447\) | 13.2568 | + | 9.63165i | 0.627027 | + | 0.455562i | ||||
\(448\) | −1.81612 | − | 0.386028i | −0.0858035 | − | 0.0182381i | ||||
\(449\) | 8.99700 | − | 4.00572i | 0.424595 | − | 0.189042i | −0.183304 | − | 0.983056i | \(-0.558679\pi\) |
0.607899 | + | 0.794015i | \(0.292013\pi\) | |||||||
\(450\) | 4.51851 | + | 3.28289i | 0.213005 | + | 0.154757i | ||||
\(451\) | −4.28462 | − | 0.910725i | −0.201755 | − | 0.0428844i | ||||
\(452\) | −0.253077 | + | 2.40787i | −0.0119038 | + | 0.113257i | ||||
\(453\) | 1.63998 | + | 0.730168i | 0.0770531 | + | 0.0343063i | ||||
\(454\) | −2.33366 | + | 7.18226i | −0.109524 | + | 0.337080i | ||||
\(455\) | 7.78524 | + | 10.1572i | 0.364978 | + | 0.476177i | ||||
\(456\) | −4.33538 | − | 13.3429i | −0.203023 | − | 0.624840i | ||||
\(457\) | −10.9409 | + | 12.1511i | −0.511792 | + | 0.568403i | −0.942550 | − | 0.334065i | \(-0.891580\pi\) |
0.430758 | + | 0.902467i | \(0.358246\pi\) | |||||||
\(458\) | −5.39280 | + | 1.14627i | −0.251989 | + | 0.0535619i | ||||
\(459\) | 6.53223 | − | 11.3142i | 0.304898 | − | 0.528100i | ||||
\(460\) | 2.87437 | 0.134018 | ||||||||
\(461\) | −15.0698 | − | 16.7367i | −0.701868 | − | 0.779504i | 0.281804 | − | 0.959472i | \(-0.409067\pi\) |
−0.983672 | + | 0.179968i | \(0.942401\pi\) | |||||||
\(462\) | 2.29506 | − | 1.02183i | 0.106776 | − | 0.0475396i | ||||
\(463\) | 13.2663 | − | 9.63855i | 0.616539 | − | 0.447942i | −0.235172 | − | 0.971954i | \(-0.575565\pi\) |
0.851711 | + | 0.524012i | \(0.175565\pi\) | |||||||
\(464\) | 2.72915 | − | 4.72703i | 0.126698 | − | 0.219447i | ||||
\(465\) | −2.14929 | − | 4.58812i | −0.0996708 | − | 0.212769i | ||||
\(466\) | −3.28958 | − | 5.69772i | −0.152387 | − | 0.263942i | ||||
\(467\) | 14.6263 | − | 10.6266i | 0.676824 | − | 0.491741i | −0.195478 | − | 0.980708i | \(-0.562626\pi\) |
0.872303 | + | 0.488966i | \(0.162626\pi\) | |||||||
\(468\) | −5.09944 | − | 10.7060i | −0.235722 | − | 0.494884i | ||||
\(469\) | −17.8431 | + | 54.9153i | −0.823916 | + | 2.53575i | ||||
\(470\) | 3.98054 | + | 6.89450i | 0.183609 | + | 0.318019i | ||||
\(471\) | −4.54316 | − | 7.86899i | −0.209338 | − | 0.362584i | ||||
\(472\) | 11.2443 | + | 12.4881i | 0.517563 | + | 0.574812i | ||||
\(473\) | −2.71026 | − | 8.34131i | −0.124618 | − | 0.383534i | ||||
\(474\) | 10.3906 | + | 2.20859i | 0.477257 | + | 0.101444i | ||||
\(475\) | 2.69400 | + | 25.6317i | 0.123609 | + | 1.17606i | ||||
\(476\) | 4.86649 | − | 14.9775i | 0.223055 | − | 0.686494i | ||||
\(477\) | 2.91823 | + | 27.7651i | 0.133617 | + | 1.27128i | ||||
\(478\) | −0.947924 | + | 9.01889i | −0.0433570 | + | 0.412515i | ||||
\(479\) | −4.32536 | + | 4.80380i | −0.197631 | + | 0.219491i | −0.833812 | − | 0.552048i | \(-0.813846\pi\) |
0.636181 | + | 0.771540i | \(0.280513\pi\) | |||||||
\(480\) | −4.21688 | − | 3.06374i | −0.192473 | − | 0.139840i | ||||
\(481\) | 1.64401 | + | 3.45150i | 0.0749603 | + | 0.157375i | ||||
\(482\) | 0.968910 | + | 2.98200i | 0.0441326 | + | 0.135826i | ||||
\(483\) | −0.709938 | + | 6.75461i | −0.0323033 | + | 0.307345i | ||||
\(484\) | 14.1201 | + | 6.28667i | 0.641822 | + | 0.285758i | ||||
\(485\) | −1.07725 | − | 1.19641i | −0.0489156 | − | 0.0543262i | ||||
\(486\) | −8.52495 | + | 6.19374i | −0.386700 | + | 0.280954i | ||||
\(487\) | −6.49117 | − | 1.37974i | −0.294143 | − | 0.0625221i | 0.0584765 | − | 0.998289i | \(-0.481376\pi\) |
−0.352620 | + | 0.935767i | \(0.614709\pi\) | |||||||
\(488\) | 11.5766 | + | 2.46069i | 0.524050 | + | 0.111390i | ||||
\(489\) | −6.53932 | + | 20.1260i | −0.295718 | + | 0.910128i | ||||
\(490\) | 2.13071 | − | 3.69049i | 0.0962556 | − | 0.166720i | ||||
\(491\) | −14.4228 | − | 24.9810i | −0.650891 | − | 1.12738i | −0.982907 | − | 0.184103i | \(-0.941062\pi\) |
0.332016 | − | 0.943274i | \(-0.392271\pi\) | |||||||
\(492\) | −5.92937 | + | 1.26033i | −0.267317 | + | 0.0568199i | ||||
\(493\) | −7.32928 | − | 5.32504i | −0.330094 | − | 0.239828i | ||||
\(494\) | −5.68824 | + | 13.7118i | −0.255926 | + | 0.616924i | ||||
\(495\) | −2.16269 | −0.0972057 | ||||||||
\(496\) | 3.82963 | + | 8.17518i | 0.171955 | + | 0.367076i | ||||
\(497\) | −26.4532 | − | 45.8183i | −1.18659 | − | 2.05523i | ||||
\(498\) | 0.200537 | + | 1.90798i | 0.00898626 | + | 0.0854985i | ||||
\(499\) | 14.7126 | + | 10.6894i | 0.658628 | + | 0.478522i | 0.866199 | − | 0.499698i | \(-0.166556\pi\) |
−0.207571 | + | 0.978220i | \(0.566556\pi\) | |||||||
\(500\) | 9.13039 | + | 10.1403i | 0.408323 | + | 0.453489i | ||||
\(501\) | −9.99229 | + | 17.3072i | −0.446423 | + | 0.773226i | ||||
\(502\) | 5.11069 | 0.228101 | ||||||||
\(503\) | −0.458814 | − | 0.509565i | −0.0204575 | − | 0.0227204i | 0.732829 | − | 0.680413i | \(-0.238199\pi\) |
−0.753287 | + | 0.657692i | \(0.771533\pi\) | |||||||
\(504\) | −12.1464 | + | 13.4899i | −0.541042 | + | 0.600889i | ||||
\(505\) | −7.38667 | + | 8.20373i | −0.328703 | + | 0.365061i | ||||
\(506\) | −1.09708 | + | 0.797074i | −0.0487711 | + | 0.0354343i | ||||
\(507\) | 3.22149 | − | 11.9713i | 0.143071 | − | 0.531666i | ||||
\(508\) | −12.0796 | + | 8.77632i | −0.535944 | + | 0.389386i | ||||
\(509\) | 4.30788 | − | 40.9867i | 0.190943 | − | 1.81670i | −0.309460 | − | 0.950912i | \(-0.600148\pi\) |
0.500404 | − | 0.865792i | \(-0.333185\pi\) | |||||||
\(510\) | −1.07052 | + | 1.18893i | −0.0474033 | + | 0.0526467i | ||||
\(511\) | 28.8770 | − | 12.8569i | 1.27744 | − | 0.568754i | ||||
\(512\) | 13.6379 | + | 9.90850i | 0.602715 | + | 0.437898i | ||||
\(513\) | −29.9262 | − | 6.36102i | −1.32128 | − | 0.280846i | ||||
\(514\) | 7.11292 | − | 3.16688i | 0.313738 | − | 0.139685i | ||||
\(515\) | −2.74833 | + | 1.99678i | −0.121106 | + | 0.0879886i | ||||
\(516\) | −8.12147 | − | 9.01981i | −0.357528 | − | 0.397075i | ||||
\(517\) | 12.6478 | + | 5.63117i | 0.556251 | + | 0.247659i | ||||
\(518\) | 1.72408 | − | 1.91478i | 0.0757516 | − | 0.0841307i | ||||
\(519\) | −0.321637 | − | 0.989897i | −0.0141183 | − | 0.0434516i | ||||
\(520\) | 1.87069 | + | 7.81047i | 0.0820354 | + | 0.342512i | ||||
\(521\) | 27.9943 | 1.22645 | 0.613227 | − | 0.789907i | \(-0.289871\pi\) | ||||
0.613227 | + | 0.789907i | \(0.289871\pi\) | |||||||
\(522\) | 2.29882 | + | 3.98167i | 0.100617 | + | 0.174273i | ||||
\(523\) | −14.0464 | + | 2.98565i | −0.614206 | + | 0.130553i | −0.504501 | − | 0.863411i | \(-0.668324\pi\) |
−0.109704 | + | 0.993964i | \(0.534990\pi\) | |||||||
\(524\) | 24.1975 | − | 10.7734i | 1.05707 | − | 0.470640i | ||||
\(525\) | −11.7356 | + | 8.52643i | −0.512185 | + | 0.372124i | ||||
\(526\) | −8.21147 | + | 14.2227i | −0.358037 | + | 0.620138i | ||||
\(527\) | 14.1589 | − | 4.90312i | 0.616773 | − | 0.213583i | ||||
\(528\) | −1.67630 | −0.0729515 | ||||||||
\(529\) | 2.02094 | + | 19.2280i | 0.0878671 | + | 0.836000i | ||||
\(530\) | 0.870185 | − | 8.27926i | 0.0377984 | − | 0.359628i | ||||
\(531\) | 14.7208 | − | 3.12900i | 0.638827 | − | 0.135787i | ||||
\(532\) | −36.8799 | −1.59895 | ||||||||
\(533\) | 12.7991 | + | 6.95823i | 0.554390 | + | 0.301395i | ||||
\(534\) | 1.76203 | − | 5.42298i | 0.0762506 | − | 0.234675i | ||||
\(535\) | −7.58200 | + | 8.42066i | −0.327798 | + | 0.364057i | ||||
\(536\) | −24.2470 | + | 26.9291i | −1.04731 | + | 1.16316i | ||||
\(537\) | −0.183958 | − | 1.75025i | −0.00793839 | − | 0.0755287i | ||||
\(538\) | 1.49875 | − | 4.61269i | 0.0646159 | − | 0.198867i | ||||
\(539\) | −0.774644 | − | 7.37025i | −0.0333663 | − | 0.317459i | ||||
\(540\) | −6.65764 | + | 2.96417i | −0.286499 | + | 0.127558i | ||||
\(541\) | −3.71045 | − | 11.4196i | −0.159525 | − | 0.490966i | 0.839067 | − | 0.544029i | \(-0.183102\pi\) |
−0.998591 | + | 0.0530625i | \(0.983102\pi\) | |||||||
\(542\) | 15.4550 | − | 6.88103i | 0.663851 | − | 0.295566i | ||||
\(543\) | 1.21891 | − | 11.5971i | 0.0523083 | − | 0.497680i | ||||
\(544\) | 10.3146 | − | 11.4555i | 0.442235 | − | 0.491152i | ||||
\(545\) | 0.726492 | + | 0.527828i | 0.0311195 | + | 0.0226096i | ||||
\(546\) | −8.28440 | + | 1.08614i | −0.354540 | + | 0.0464824i | ||||
\(547\) | 4.10871 | − | 12.6453i | 0.175676 | − | 0.540675i | −0.823988 | − | 0.566608i | \(-0.808256\pi\) |
0.999664 | + | 0.0259327i | \(0.00825554\pi\) | |||||||
\(548\) | −21.4302 | − | 9.54133i | −0.915452 | − | 0.407585i | ||||
\(549\) | 7.09239 | − | 7.87690i | 0.302696 | − | 0.336178i | ||||
\(550\) | −2.83300 | − | 0.602174i | −0.120800 | − | 0.0256768i | ||||
\(551\) | −6.55605 | + | 20.1775i | −0.279297 | + | 0.859588i | ||||
\(552\) | −2.13116 | + | 3.69129i | −0.0907084 | + | 0.157112i | ||||
\(553\) | 31.7120 | − | 54.9268i | 1.34853 | − | 2.33572i | ||||
\(554\) | 4.47663 | − | 13.7776i | 0.190194 | − | 0.585356i | ||||
\(555\) | 0.881458 | − | 0.392450i | 0.0374158 | − | 0.0166586i | ||||
\(556\) | −19.9794 | − | 8.89538i | −0.847314 | − | 0.377248i | ||||
\(557\) | −9.97106 | − | 17.2704i | −0.422487 | − | 0.731769i | 0.573695 | − | 0.819069i | \(-0.305510\pi\) |
−0.996182 | + | 0.0872998i | \(0.972176\pi\) | |||||||
\(558\) | −7.57643 | − | 0.649457i | −0.320736 | − | 0.0274937i | ||||
\(559\) | 0.747914 | + | 29.1598i | 0.0316334 | + | 1.23333i | ||||
\(560\) | −4.65598 | + | 3.38277i | −0.196751 | + | 0.142948i | ||||
\(561\) | −0.290825 | + | 2.76701i | −0.0122786 | + | 0.116823i | ||||
\(562\) | 11.3507 | − | 2.41267i | 0.478801 | − | 0.101772i | ||||
\(563\) | 4.53991 | − | 7.86335i | 0.191334 | − | 0.331401i | −0.754358 | − | 0.656463i | \(-0.772052\pi\) |
0.945693 | + | 0.325062i | \(0.105385\pi\) | |||||||
\(564\) | 19.1594 | 0.806755 | ||||||||
\(565\) | −0.982643 | − | 1.09134i | −0.0413401 | − | 0.0459128i | ||||
\(566\) | 9.48891 | + | 2.01693i | 0.398848 | + | 0.0847779i | ||||
\(567\) | 1.88772 | + | 5.80981i | 0.0792768 | + | 0.243989i | ||||
\(568\) | −3.47060 | − | 33.0205i | −0.145623 | − | 1.38551i | ||||
\(569\) | 1.73703 | − | 0.369217i | 0.0728200 | − | 0.0154784i | −0.171358 | − | 0.985209i | \(-0.554815\pi\) |
0.244178 | + | 0.969731i | \(0.421482\pi\) | |||||||
\(570\) | 3.42270 | + | 1.52389i | 0.143361 | + | 0.0638286i | ||||
\(571\) | 21.8949 | + | 15.9076i | 0.916275 | + | 0.665713i | 0.942594 | − | 0.333941i | \(-0.108379\pi\) |
−0.0263191 | + | 0.999654i | \(0.508379\pi\) | |||||||
\(572\) | 4.67389 | + | 3.99622i | 0.195425 | + | 0.167090i | ||||
\(573\) | 16.1104 | + | 11.7049i | 0.673023 | + | 0.488980i | ||||
\(574\) | 1.02631 | − | 9.76470i | 0.0428374 | − | 0.407571i | ||||
\(575\) | 5.23934 | − | 5.81887i | 0.218496 | − | 0.242664i | ||||
\(576\) | −0.953310 | + | 0.424441i | −0.0397212 | + | 0.0176850i | ||||
\(577\) | −15.0902 | + | 10.9637i | −0.628213 | + | 0.456424i | −0.855781 | − | 0.517339i | \(-0.826923\pi\) |
0.227567 | + | 0.973762i | \(0.426923\pi\) | |||||||
\(578\) | 4.26538 | + | 4.73718i | 0.177416 | + | 0.197041i | ||||
\(579\) | −1.01794 | − | 9.68501i | −0.0423040 | − | 0.402495i | ||||
\(580\) | 1.56165 | + | 4.80627i | 0.0648441 | + | 0.199570i | ||||
\(581\) | 11.2042 | + | 2.38152i | 0.464828 | + | 0.0988022i | ||||
\(582\) | 1.02812 | − | 0.218534i | 0.0426170 | − | 0.00905853i | ||||
\(583\) | −7.23870 | − | 12.5378i | −0.299796 | − | 0.519263i | ||||
\(584\) | 19.8373 | 0.820874 | ||||||||
\(585\) | 6.89542 | + | 2.04654i | 0.285091 | + | 0.0846142i | ||||
\(586\) | 1.84876 | + | 1.34320i | 0.0763717 | + | 0.0554873i | ||||
\(587\) | 42.2422 | + | 18.8074i | 1.74352 | + | 0.776265i | 0.993365 | + | 0.115003i | \(0.0366879\pi\) |
0.750155 | + | 0.661262i | \(0.229979\pi\) | |||||||
\(588\) | −5.12783 | − | 8.88165i | −0.211468 | − | 0.366273i | ||||
\(589\) | −21.1667 | − | 27.9868i | −0.872157 | − | 1.15318i | ||||
\(590\) | −4.48764 | −0.184753 | ||||||||
\(591\) | 0.509614 | + | 4.84865i | 0.0209627 | + | 0.199447i | ||||
\(592\) | −1.57059 | + | 0.699273i | −0.0645510 | + | 0.0287399i | ||||
\(593\) | 11.5762 | − | 35.6280i | 0.475379 | − | 1.46307i | −0.370066 | − | 0.929006i | \(-0.620665\pi\) |
0.845445 | − | 0.534062i | \(-0.179335\pi\) | |||||||
\(594\) | 1.71909 | − | 2.97754i | 0.0705349 | − | 0.122170i | ||||
\(595\) | 4.77606 | + | 8.27238i | 0.195799 | + | 0.339134i | ||||
\(596\) | 26.4419 | − | 5.62040i | 1.08310 | − | 0.230221i | ||||
\(597\) | 0.654085 | + | 2.01307i | 0.0267699 | + | 0.0823893i | ||||
\(598\) | 4.25214 | − | 1.50319i | 0.173883 | − | 0.0614702i | ||||
\(599\) | −26.2681 | + | 19.0849i | −1.07328 | + | 0.779787i | −0.976500 | − | 0.215518i | \(-0.930856\pi\) |
−0.0967848 | + | 0.995305i | \(0.530856\pi\) | |||||||
\(600\) | −8.90460 | + | 1.89273i | −0.363529 | + | 0.0772704i | ||||
\(601\) | 15.9548 | + | 7.10355i | 0.650811 | + | 0.289760i | 0.705464 | − | 0.708746i | \(-0.250739\pi\) |
−0.0546531 | + | 0.998505i | \(0.517405\pi\) | |||||||
\(602\) | 17.9595 | − | 7.99609i | 0.731975 | − | 0.325896i | ||||
\(603\) | 10.0284 | + | 30.8644i | 0.408390 | + | 1.25689i | ||||
\(604\) | 2.70549 | − | 1.20456i | 0.110085 | − | 0.0490129i | ||||
\(605\) | −8.56453 | + | 3.81317i | −0.348198 | + | 0.155028i | ||||
\(606\) | −2.22717 | − | 6.85453i | −0.0904726 | − | 0.278446i | ||||
\(607\) | −28.2984 | + | 12.5992i | −1.14859 | + | 0.511387i | −0.890613 | − | 0.454762i | \(-0.849724\pi\) |
−0.257982 | + | 0.966150i | \(0.583057\pi\) | |||||||
\(608\) | −32.9783 | − | 14.6829i | −1.33745 | − | 0.595469i | ||||
\(609\) | −11.6802 | + | 2.48270i | −0.473305 | + | 0.100604i | ||||
\(610\) | −2.55700 | + | 1.85777i | −0.103530 | + | 0.0752189i | ||||
\(611\) | −34.9970 | − | 29.9228i | −1.41583 | − | 1.21055i | ||||
\(612\) | −2.73514 | − | 8.41791i | −0.110562 | − | 0.340274i | ||||
\(613\) | 42.5747 | − | 9.04952i | 1.71957 | − | 0.365507i | 0.760649 | − | 0.649164i | \(-0.224881\pi\) |
0.958926 | + | 0.283657i | \(0.0915478\pi\) | |||||||
\(614\) | −0.124923 | − | 0.216373i | −0.00504148 | − | 0.00873210i | ||||
\(615\) | 1.83840 | − | 3.18420i | 0.0741315 | − | 0.128399i | ||||
\(616\) | 2.90886 | − | 8.95256i | 0.117201 | − | 0.360709i | ||||
\(617\) | 25.5224 | − | 11.3633i | 1.02749 | − | 0.457470i | 0.177422 | − | 0.984135i | \(-0.443224\pi\) |
0.850073 | + | 0.526665i | \(0.176558\pi\) | |||||||
\(618\) | −0.231835 | − | 2.20576i | −0.00932578 | − | 0.0887288i | ||||
\(619\) | 13.3559 | 0.536819 | 0.268409 | − | 0.963305i | \(-0.413502\pi\) | ||||
0.268409 | + | 0.963305i | \(0.413502\pi\) | |||||||
\(620\) | −7.99743 | − | 2.42972i | −0.321185 | − | 0.0975800i | ||||
\(621\) | 4.64751 | + | 8.04972i | 0.186498 | + | 0.323024i | ||||
\(622\) | 5.02637 | + | 2.23788i | 0.201539 | + | 0.0897310i | ||||
\(623\) | −27.5427 | − | 20.0109i | −1.10347 | − | 0.801720i | ||||
\(624\) | 5.34463 | + | 1.58627i | 0.213956 | + | 0.0635017i | ||||
\(625\) | 12.1708 | 0.486830 | ||||||||
\(626\) | 6.90997 | + | 11.9684i | 0.276178 | + | 0.478354i | ||||
\(627\) | 6.37320 | − | 1.35467i | 0.254521 | − | 0.0541001i | ||||
\(628\) | −14.6622 | − | 3.11655i | −0.585085 | − | 0.124364i | ||||
\(629\) | 0.881783 | + | 2.71385i | 0.0351590 | + | 0.108208i | ||||
\(630\) | −0.506716 | − | 4.82108i | −0.0201881 | − | 0.192077i | ||||
\(631\) | −13.5280 | − | 15.0244i | −0.538541 | − | 0.598110i | 0.411046 | − | 0.911615i | \(-0.365164\pi\) |
−0.949587 | + | 0.313504i | \(0.898497\pi\) | |||||||
\(632\) | 32.2012 | − | 23.3955i | 1.28090 | − | 0.930625i | ||||
\(633\) | 3.63716 | − | 1.61937i | 0.144564 | − | 0.0643641i | ||||
\(634\) | −7.05325 | + | 7.83343i | −0.280120 | + | 0.311105i | ||||
\(635\) | 0.946661 | − | 9.00688i | 0.0375671 | − | 0.357427i | ||||
\(636\) | −16.2085 | − | 11.7762i | −0.642711 | − | 0.466957i | ||||
\(637\) | −4.50459 | + | 24.2320i | −0.178478 | + | 0.960107i | ||||
\(638\) | −1.92885 | − | 1.40139i | −0.0763637 | − | 0.0554815i | ||||
\(639\) | −27.1646 | − | 12.0944i | −1.07461 | − | 0.478449i | ||||
\(640\) | −10.3883 | + | 2.20810i | −0.410634 | + | 0.0872830i | ||||
\(641\) | 0.822533 | + | 7.82588i | 0.0324881 | + | 0.309104i | 0.998684 | + | 0.0512933i | \(0.0163343\pi\) |
−0.966196 | + | 0.257810i | \(0.916999\pi\) | |||||||
\(642\) | −2.28606 | − | 7.03578i | −0.0902238 | − | 0.277680i | ||||
\(643\) | 44.7449 | + | 9.51081i | 1.76457 | + | 0.375070i | 0.972048 | − | 0.234780i | \(-0.0754371\pi\) |
0.792517 | + | 0.609850i | \(0.208770\pi\) | |||||||
\(644\) | 7.49727 | + | 8.32656i | 0.295434 | + | 0.328113i | ||||
\(645\) | 7.36190 | 0.289874 | ||||||||
\(646\) | −5.54010 | + | 9.59573i | −0.217972 | + | 0.377539i | ||||
\(647\) | 25.8488 | − | 5.49433i | 1.01622 | − | 0.216004i | 0.330451 | − | 0.943823i | \(-0.392799\pi\) |
0.685769 | + | 0.727819i | \(0.259466\pi\) | |||||||
\(648\) | −0.400729 | + | 3.81268i | −0.0157421 | + | 0.149776i | ||||
\(649\) | −6.31378 | + | 4.58723i | −0.247837 | + | 0.180064i | ||||
\(650\) | 8.46279 | + | 4.60080i | 0.331938 | + | 0.180458i | ||||
\(651\) | 7.68500 | − | 18.1934i | 0.301199 | − | 0.713056i | ||||
\(652\) | 17.4553 | + | 30.2334i | 0.683602 | + | 1.18403i | ||||
\(653\) | 8.38108 | + | 3.73150i | 0.327977 | + | 0.146025i | 0.564118 | − | 0.825694i | \(-0.309216\pi\) |
−0.236141 | + | 0.971719i | \(0.575883\pi\) | |||||||
\(654\) | −0.535595 | + | 0.238462i | −0.0209434 | + | 0.00932462i | ||||
\(655\) | −4.96466 | + | 15.2796i | −0.193985 | + | 0.597025i | ||||
\(656\) | −3.27569 | + | 5.67365i | −0.127894 | + | 0.221519i | ||||
\(657\) | 8.88293 | − | 15.3857i | 0.346556 | − | 0.600253i | ||||
\(658\) | −9.58968 | + | 29.5140i | −0.373845 | + | 1.15058i | ||||
\(659\) | 0.108861 | + | 0.0231391i | 0.00424062 | + | 0.000901372i | 0.210032 | − | 0.977695i | \(-0.432643\pi\) |
−0.205791 | + | 0.978596i | \(0.565977\pi\) | |||||||
\(660\) | 1.03850 | − | 1.15337i | 0.0404235 | − | 0.0448949i | ||||
\(661\) | −8.26962 | − | 3.68187i | −0.321651 | − | 0.143208i | 0.239559 | − | 0.970882i | \(-0.422997\pi\) |
−0.561210 | + | 0.827674i | \(0.689664\pi\) | |||||||
\(662\) | 2.86456 | − | 8.81620i | 0.111334 | − | 0.342651i | ||||
\(663\) | 3.54566 | − | 8.54701i | 0.137702 | − | 0.331938i | ||||
\(664\) | 5.81560 | + | 4.22528i | 0.225689 | + | 0.163973i | ||||
\(665\) | 14.9681 | − | 16.6238i | 0.580438 | − | 0.644642i | ||||
\(666\) | 0.151372 | − | 1.44021i | 0.00586553 | − | 0.0558068i | ||||
\(667\) | 5.88834 | − | 2.62166i | 0.227997 | − | 0.101511i | ||||
\(668\) | 10.1879 | + | 31.3551i | 0.394181 | + | 1.21316i | ||||
\(669\) | 2.09677 | − | 0.933541i | 0.0810657 | − | 0.0360928i | ||||
\(670\) | −1.01153 | − | 9.62403i | −0.0390787 | − | 0.371809i | ||||
\(671\) | −1.69851 | + | 5.22749i | −0.0655704 | + | 0.201805i | ||||
\(672\) | −2.12382 | − | 20.2068i | −0.0819282 | − | 0.779495i | ||||
\(673\) | −11.8931 | + | 13.2086i | −0.458444 | + | 0.509153i | −0.927402 | − | 0.374067i | \(-0.877963\pi\) |
0.468958 | + | 0.883221i | \(0.344630\pi\) | |||||||
\(674\) | 7.54950 | − | 8.38457i | 0.290796 | − | 0.322962i | ||||
\(675\) | −6.13473 | + | 18.8808i | −0.236126 | + | 0.726720i | ||||
\(676\) | −11.1204 | − | 17.1642i | −0.427708 | − | 0.660163i | ||||
\(677\) | 17.5651 | 0.675081 | 0.337541 | − | 0.941311i | \(-0.390405\pi\) | ||||
0.337541 | + | 0.941311i | \(0.390405\pi\) | |||||||
\(678\) | 0.937826 | − | 0.199341i | 0.0360170 | − | 0.00765565i | ||||
\(679\) | 0.655981 | − | 6.24124i | 0.0251742 | − | 0.239517i | ||||
\(680\) | 0.626607 | + | 5.96177i | 0.0240293 | + | 0.228623i | ||||
\(681\) | −11.0238 | −0.422432 | ||||||||
\(682\) | 3.72620 | − | 1.29035i | 0.142684 | − | 0.0494102i | ||||
\(683\) | 2.39797 | − | 4.15340i | 0.0917557 | − | 0.158926i | −0.816494 | − | 0.577354i | \(-0.804085\pi\) |
0.908250 | + | 0.418428i | \(0.137419\pi\) | |||||||
\(684\) | −16.7692 | + | 12.1835i | −0.641186 | + | 0.465849i | ||||
\(685\) | 12.9985 | − | 5.78729i | 0.496646 | − | 0.221121i | ||||
\(686\) | −0.390092 | + | 0.0829166i | −0.0148938 | + | 0.00316577i | ||||
\(687\) | −4.02398 | − | 6.96973i | −0.153524 | − | 0.265912i | ||||
\(688\) | −13.1175 | −0.500101 | ||||||||
\(689\) | 11.2151 | + | 46.8249i | 0.427261 | + | 1.78389i | ||||
\(690\) | −0.351742 | − | 1.08255i | −0.0133906 | − | 0.0412120i | ||||
\(691\) | 15.6472 | − | 17.3780i | 0.595248 | − | 0.661090i | −0.367962 | − | 0.929841i | \(-0.619944\pi\) |
0.963210 | + | 0.268751i | \(0.0866109\pi\) | |||||||
\(692\) | −1.56863 | − | 0.698398i | −0.0596303 | − | 0.0265491i | ||||
\(693\) | −5.64099 | − | 6.26495i | −0.214283 | − | 0.237986i | ||||
\(694\) | −6.11294 | + | 4.44131i | −0.232044 | + | 0.168590i | ||||
\(695\) | 12.1185 | − | 5.39549i | 0.459680 | − | 0.204663i | ||||
\(696\) | −7.33012 | − | 1.55807i | −0.277848 | − | 0.0590583i | ||||
\(697\) | 8.79702 | + | 6.39141i | 0.333211 | + | 0.242092i | ||||
\(698\) | 0.450217 | − | 0.200449i | 0.0170410 | − | 0.00758712i | ||||
\(699\) | 6.42624 | − | 7.13706i | 0.243063 | − | 0.269948i | ||||
\(700\) | −2.50144 | + | 23.7996i | −0.0945455 | + | 0.899540i | ||||
\(701\) | 12.2153 | − | 8.87497i | 0.461367 | − | 0.335203i | −0.332700 | − | 0.943033i | \(-0.607960\pi\) |
0.794067 | + | 0.607830i | \(0.207960\pi\) | |||||||
\(702\) | −8.29869 | + | 7.86670i | −0.313214 | + | 0.296909i | ||||
\(703\) | 5.40621 | − | 3.92784i | 0.203899 | − | 0.148141i | ||||
\(704\) | 0.362093 | − | 0.402145i | 0.0136469 | − | 0.0151564i | ||||
\(705\) | −7.77604 | + | 8.63616i | −0.292862 | + | 0.325257i | ||||
\(706\) | 1.39484 | + | 1.54913i | 0.0524955 | + | 0.0583022i | ||||
\(707\) | −43.0316 | −1.61837 | ||||||||
\(708\) | −5.40004 | + | 9.35315i | −0.202946 | + | 0.351513i | ||||
\(709\) | −19.2469 | − | 21.3758i | −0.722832 | − | 0.802786i | 0.264002 | − | 0.964522i | \(-0.414957\pi\) |
−0.986834 | + | 0.161736i | \(0.948291\pi\) | |||||||
\(710\) | 7.17334 | + | 5.21174i | 0.269211 | + | 0.195593i | ||||
\(711\) | −3.72608 | − | 35.4513i | −0.139739 | − | 1.32953i | ||||
\(712\) | −10.6827 | − | 18.5029i | −0.400349 | − | 0.693426i | ||||
\(713\) | −2.01577 | + | 10.4683i | −0.0754914 | + | 0.392041i | ||||
\(714\) | −6.23639 | −0.233391 | ||||||||
\(715\) | −3.69826 | + | 0.484866i | −0.138307 | + | 0.0181330i | ||||
\(716\) | −2.34881 | − | 1.70651i | −0.0877793 | − | 0.0637754i | ||||
\(717\) | −12.9485 | + | 2.75228i | −0.483570 | + | 0.102786i | ||||
\(718\) | 3.79527 | + | 6.57360i | 0.141638 | + | 0.245325i | ||||
\(719\) | −23.7798 | + | 41.1878i | −0.886836 | + | 1.53605i | −0.0432421 | + | 0.999065i | \(0.513769\pi\) |
−0.843594 | + | 0.536981i | \(0.819565\pi\) | |||||||
\(720\) | −0.999541 | + | 3.07627i | −0.0372507 | + | 0.114646i | ||||
\(721\) | −12.9529 | − | 2.75322i | −0.482390 | − | 0.102535i | ||||
\(722\) | 13.2397 | + | 2.81418i | 0.492731 | + | 0.104733i | ||||
\(723\) | −3.70283 | + | 2.69027i | −0.137710 | + | 0.100052i | ||||
\(724\) | −12.8722 | − | 14.2960i | −0.478392 | − | 0.531308i | ||||
\(725\) | 12.5764 | + | 5.59936i | 0.467075 | + | 0.207955i | ||||
\(726\) | 0.639795 | − | 6.08724i | 0.0237450 | − | 0.225919i | ||||
\(727\) | 10.6349 | + | 32.7309i | 0.394427 | + | 1.21392i | 0.929407 | + | 0.369057i | \(0.120319\pi\) |
−0.534979 | + | 0.844865i | \(0.679681\pi\) | |||||||
\(728\) | −17.7463 | + | 25.7913i | −0.657720 | + | 0.955889i | ||||
\(729\) | −8.45828 | − | 6.14530i | −0.313269 | − | 0.227604i | ||||
\(730\) | −3.54477 | + | 3.93687i | −0.131198 | + | 0.145710i | ||||
\(731\) | −2.27579 | + | 21.6527i | −0.0841732 | + | 0.800854i | ||||
\(732\) | 0.795092 | + | 7.56479i | 0.0293874 | + | 0.279603i | ||||
\(733\) | −2.53573 | + | 7.80417i | −0.0936593 | + | 0.288254i | −0.986902 | − | 0.161321i | \(-0.948424\pi\) |
0.893243 | + | 0.449575i | \(0.148424\pi\) | |||||||
\(734\) | 1.38891 | + | 13.2146i | 0.0512658 | + | 0.487761i | ||||
\(735\) | 6.08462 | + | 1.29333i | 0.224435 | + | 0.0477051i | ||||
\(736\) | 3.38909 | + | 10.4305i | 0.124923 | + | 0.384475i | ||||
\(737\) | −11.2608 | − | 12.5063i | −0.414795 | − | 0.460677i | ||||
\(738\) | −2.75917 | − | 4.77903i | −0.101567 | − | 0.175918i | ||||
\(739\) | −9.15392 | − | 15.8550i | −0.336732 | − | 0.583237i | 0.647084 | − | 0.762419i | \(-0.275988\pi\) |
−0.983816 | + | 0.179182i | \(0.942655\pi\) | |||||||
\(740\) | 0.491881 | − | 1.51385i | 0.0180819 | − | 0.0556504i | ||||
\(741\) | −21.6019 | − | 1.71178i | −0.793567 | − | 0.0628836i | ||||
\(742\) | 26.2533 | − | 19.0742i | 0.963790 | − | 0.700235i | ||||
\(743\) | 22.6259 | + | 39.1891i | 0.830062 | + | 1.43771i | 0.897988 | + | 0.440019i | \(0.145028\pi\) |
−0.0679261 | + | 0.997690i | \(0.521638\pi\) | |||||||
\(744\) | 9.04986 | − | 8.46887i | 0.331784 | − | 0.310484i | ||||
\(745\) | −8.19832 | + | 14.1999i | −0.300363 | + | 0.520244i | ||||
\(746\) | 9.51762 | − | 6.91496i | 0.348465 | − | 0.253175i | ||||
\(747\) | 5.88126 | − | 2.61850i | 0.215184 | − | 0.0958061i | ||||
\(748\) | 3.07124 | + | 3.41096i | 0.112296 | + | 0.124717i | ||||
\(749\) | −44.1695 | −1.61392 | ||||||||
\(750\) | 2.70177 | − | 4.67959i | 0.0986545 | − | 0.170875i | ||||
\(751\) | 52.2634 | − | 11.1089i | 1.90712 | − | 0.405371i | 0.907237 | − | 0.420621i | \(-0.138188\pi\) |
0.999884 | + | 0.0152499i | \(0.00485437\pi\) | |||||||
\(752\) | 13.8554 | − | 15.3880i | 0.505256 | − | 0.561144i | ||||
\(753\) | 2.30535 | + | 7.09515i | 0.0840118 | + | 0.258562i | ||||
\(754\) | 4.82371 | + | 6.29338i | 0.175669 | + | 0.229191i | ||||
\(755\) | −0.555091 | + | 1.70839i | −0.0202018 | + | 0.0621748i | ||||
\(756\) | −25.9519 | − | 11.5546i | −0.943863 | − | 0.420235i | ||||
\(757\) | −1.82189 | + | 17.3342i | −0.0662179 | + | 0.630021i | 0.910205 | + | 0.414157i | \(0.135924\pi\) |
−0.976423 | + | 0.215864i | \(0.930743\pi\) | |||||||
\(758\) | −2.72976 | − | 0.580229i | −0.0991495 | − | 0.0210749i | ||||
\(759\) | −1.60145 | − | 1.16352i | −0.0581289 | − | 0.0422331i | ||||
\(760\) | 12.8247 | − | 5.70992i | 0.465201 | − | 0.207121i | ||||
\(761\) | −11.2409 | − | 2.38933i | −0.407484 | − | 0.0866133i | −0.000390335 | − | 1.00000i | \(-0.500124\pi\) |
−0.407093 | + | 0.913387i | \(0.633458\pi\) | |||||||
\(762\) | 4.78355 | + | 3.47546i | 0.173290 | + | 0.125902i | ||||
\(763\) | 0.365896 | + | 3.48127i | 0.0132463 | + | 0.126030i | ||||
\(764\) | 32.1337 | − | 6.83022i | 1.16256 | − | 0.247109i | ||||
\(765\) | 4.90449 | + | 2.18362i | 0.177322 | + | 0.0789490i | ||||
\(766\) | −2.81528 | − | 8.66453i | −0.101720 | − | 0.313062i | ||||
\(767\) | 24.4714 | − | 8.65101i | 0.883612 | − | 0.312370i | ||||
\(768\) | 2.43687 | − | 7.49990i | 0.0879328 | − | 0.270629i | ||||
\(769\) | −5.89328 | − | 10.2075i | −0.212517 | − | 0.368090i | 0.739985 | − | 0.672624i | \(-0.234833\pi\) |
−0.952502 | + | 0.304534i | \(0.901499\pi\) | |||||||
\(770\) | 1.25691 | + | 2.17704i | 0.0452960 | + | 0.0784551i | ||||
\(771\) | 7.60509 | + | 8.44631i | 0.273891 | + | 0.304186i | ||||
\(772\) | −12.9972 | − | 9.44302i | −0.467779 | − | 0.339862i | ||||
\(773\) | 2.41136 | + | 22.9425i | 0.0867305 | + | 0.825185i | 0.948264 | + | 0.317484i | \(0.102838\pi\) |
−0.861533 | + | 0.507701i | \(0.830495\pi\) | |||||||
\(774\) | 5.52457 | − | 9.56884i | 0.198577 | − | 0.343945i | ||||
\(775\) | −19.4963 | + | 11.7612i | −0.700327 | + | 0.422473i | ||||
\(776\) | 1.96919 | − | 3.41074i | 0.0706898 | − | 0.122438i | ||||
\(777\) | 3.43599 | + | 1.52980i | 0.123265 | + | 0.0548813i | ||||
\(778\) | 2.08629 | − | 19.8497i | 0.0747971 | − | 0.711647i | ||||
\(779\) | 7.86895 | − | 24.2181i | 0.281934 | − | 0.867705i | ||||
\(780\) | −4.40253 | + | 2.69463i | −0.157636 | + | 0.0964831i | ||||
\(781\) | 15.4198 | 0.551763 | ||||||||
\(782\) | 3.29271 | − | 0.699888i | 0.117747 | − | 0.0250279i | ||||
\(783\) | −10.9350 | + | 12.1446i | −0.390787 | + | 0.434013i | ||||
\(784\) | −10.8417 | − | 2.30447i | −0.387202 | − | 0.0823024i | ||||
\(785\) | 7.35560 | − | 5.34416i | 0.262533 | − | 0.190741i | ||||
\(786\) | −7.01861 | − | 7.79496i | −0.250346 | − | 0.278037i | ||||
\(787\) | −1.37491 | − | 13.0814i | −0.0490102 | − | 0.466301i | −0.991312 | − | 0.131535i | \(-0.958009\pi\) |
0.942301 | − | 0.334766i | \(-0.108657\pi\) | |||||||
\(788\) | 6.50685 | + | 4.72750i | 0.231797 | + | 0.168410i | ||||
\(789\) | −23.4493 | − | 4.98431i | −0.834819 | − | 0.177446i | ||||
\(790\) | −1.11108 | + | 10.5712i | −0.0395303 | + | 0.376106i | ||||
\(791\) | 0.598369 | − | 5.69310i | 0.0212756 | − | 0.202423i | ||||
\(792\) | −1.63489 | − | 5.03166i | −0.0580932 | − | 0.178792i | ||||
\(793\) | 10.3622 | − | 15.0598i | 0.367973 | − | 0.534789i | ||||
\(794\) | −2.49527 | + | 1.81292i | −0.0885537 | + | 0.0643381i | ||||
\(795\) | 11.8866 | − | 2.52657i | 0.421573 | − | 0.0896082i | ||||
\(796\) | 3.18998 | + | 1.42027i | 0.113066 | + | 0.0503402i | ||||
\(797\) | −7.64576 | − | 1.62516i | −0.270827 | − | 0.0575660i | 0.0704964 | − | 0.997512i | \(-0.477542\pi\) |
−0.341323 | + | 0.939946i | \(0.610875\pi\) | |||||||
\(798\) | 4.51306 | + | 13.8898i | 0.159761 | + | 0.491693i | ||||
\(799\) | −22.9967 | − | 25.5405i | −0.813566 | − | 0.903557i | ||||
\(800\) | −11.7121 | + | 20.2859i | −0.414084 | + | 0.717214i | ||||
\(801\) | −19.1343 | −0.676077 | ||||||||
\(802\) | −14.8141 | − | 16.4527i | −0.523103 | − | 0.580965i | ||||
\(803\) | −0.963000 | + | 9.16233i | −0.0339835 | + | 0.323332i | ||||
\(804\) | −21.2756 | − | 9.47252i | −0.750333 | − | 0.334070i | ||||
\(805\) | −6.79608 | −0.239530 | ||||||||
\(806\) | −13.1015 | + | 0.588013i | −0.461481 | + | 0.0207119i | ||||
\(807\) | 7.07985 | 0.249222 | ||||||||
\(808\) | −24.6706 | − | 10.9840i | −0.867907 | − | 0.386417i | ||||
\(809\) | −0.242927 | + | 2.31130i | −0.00854087 | + | 0.0812609i | −0.997962 | − | 0.0638107i | \(-0.979675\pi\) |
0.989421 | + | 0.145072i | \(0.0463413\pi\) | |||||||
\(810\) | −0.685050 | − | 0.760825i | −0.0240702 | − | 0.0267327i | ||||
\(811\) | −20.3838 | −0.715772 | −0.357886 | − | 0.933765i | \(-0.616502\pi\) | ||||
−0.357886 | + | 0.933765i | \(0.616502\pi\) | |||||||
\(812\) | −9.84968 | + | 17.0601i | −0.345656 | + | 0.598694i | ||||
\(813\) | 16.5244 | + | 18.3522i | 0.579537 | + | 0.643641i | ||||
\(814\) | 0.232059 | + | 0.714203i | 0.00813365 | + | 0.0250328i | ||||
\(815\) | −20.7123 | − | 4.40253i | −0.725519 | − | 0.154214i | ||||
\(816\) | 3.80146 | + | 1.69252i | 0.133078 | + | 0.0592501i | ||||
\(817\) | 49.8722 | − | 10.6007i | 1.74481 | − | 0.370870i | ||||
\(818\) | −10.5931 | + | 7.69635i | −0.370380 | + | 0.269097i | ||||
\(819\) | 12.0570 | + | 25.3129i | 0.421305 | + | 0.884505i | ||||
\(820\) | −1.87439 | − | 5.76876i | −0.0654564 | − | 0.201454i | ||||
\(821\) | −2.14563 | + | 20.4143i | −0.0748831 | + | 0.712465i | 0.891091 | + | 0.453825i | \(0.149941\pi\) |
−0.965974 | + | 0.258640i | \(0.916726\pi\) | |||||||
\(822\) | −0.971023 | + | 9.23866i | −0.0338683 | + | 0.322235i | ||||
\(823\) | −6.46763 | − | 1.37474i | −0.225447 | − | 0.0479203i | 0.0938027 | − | 0.995591i | \(-0.470098\pi\) |
−0.319250 | + | 0.947670i | \(0.603431\pi\) | |||||||
\(824\) | −6.72326 | − | 4.88474i | −0.234216 | − | 0.170168i | ||||
\(825\) | −0.441929 | − | 4.20468i | −0.0153860 | − | 0.146388i | ||||
\(826\) | −11.7052 | − | 12.9999i | −0.407276 | − | 0.452325i | ||||
\(827\) | 9.34997 | − | 6.79315i | 0.325130 | − | 0.236221i | −0.413231 | − | 0.910626i | \(-0.635600\pi\) |
0.738361 | + | 0.674405i | \(0.235600\pi\) | |||||||
\(828\) | 6.15972 | + | 1.30929i | 0.214065 | + | 0.0455009i | ||||
\(829\) | 31.1565 | − | 34.6028i | 1.08211 | − | 1.20181i | 0.103815 | − | 0.994597i | \(-0.466895\pi\) |
0.978297 | − | 0.207210i | \(-0.0664383\pi\) | |||||||
\(830\) | −1.87774 | + | 0.399126i | −0.0651774 | + | 0.0138539i | ||||
\(831\) | 21.1468 | 0.733573 | ||||||||
\(832\) | −1.53503 | + | 0.939533i | −0.0532175 | + | 0.0325725i | ||||
\(833\) | −5.68486 | + | 17.4962i | −0.196969 | + | 0.606207i | ||||
\(834\) | −0.905285 | + | 8.61321i | −0.0313474 | + | 0.298251i | ||||
\(835\) | −18.2683 | − | 8.13356i | −0.632200 | − | 0.281473i | ||||
\(836\) | 5.37439 | − | 9.30872i | 0.185877 | − | 0.321949i | ||||
\(837\) | −6.12640 | − | 26.3255i | −0.211759 | − | 0.909943i | ||||
\(838\) | −6.00567 | + | 10.4021i | −0.207462 | + | 0.359335i | ||||
\(839\) | 1.97563 | + | 18.7968i | 0.0682062 | + | 0.648938i | 0.974206 | + | 0.225660i | \(0.0724539\pi\) |
−0.906000 | + | 0.423278i | \(0.860879\pi\) | |||||||
\(840\) | 6.39235 | + | 4.64431i | 0.220557 | + | 0.160244i | ||||
\(841\) | −11.8219 | − | 13.1296i | −0.407653 | − | 0.452744i | ||||
\(842\) | 9.33429 | + | 16.1675i | 0.321681 | + | 0.557168i | ||||
\(843\) | 8.46962 | + | 14.6698i | 0.291709 | + | 0.505255i | ||||
\(844\) | 2.02965 | − | 6.24661i | 0.0698634 | − | 0.215017i | ||||
\(845\) | 12.2502 | + | 1.95372i | 0.421419 | + | 0.0672101i | ||||
\(846\) | 5.38975 | + | 16.5879i | 0.185303 | + | 0.570305i | ||||
\(847\) | −33.3851 | − | 14.8640i | −1.14713 | − | 0.510734i | ||||
\(848\) | −21.1797 | + | 4.50188i | −0.727312 | + | 0.154595i | ||||
\(849\) | 1.48020 | + | 14.0832i | 0.0508005 | + | 0.483334i | ||||
\(850\) | 5.81661 | + | 4.22602i | 0.199508 | + | 0.144951i | ||||
\(851\) | −1.98583 | − | 0.422102i | −0.0680734 | − | 0.0144695i | ||||
\(852\) | 19.4941 | − | 8.67934i | 0.667858 | − | 0.297349i | ||||
\(853\) | 27.7238 | + | 20.1425i | 0.949246 | + | 0.689668i | 0.950628 | − | 0.310331i | \(-0.100440\pi\) |
−0.00138244 | + | 0.999999i | \(0.500440\pi\) | |||||||
\(854\) | −12.0511 | − | 2.56154i | −0.412381 | − | 0.0876542i | ||||
\(855\) | 1.31418 | − | 12.5036i | 0.0449440 | − | 0.427614i | ||||
\(856\) | −25.3229 | − | 11.2745i | −0.865520 | − | 0.385354i | ||||
\(857\) | 7.11514 | − | 21.8982i | 0.243049 | − | 0.748027i | −0.752903 | − | 0.658132i | \(-0.771347\pi\) |
0.995951 | − | 0.0898949i | \(-0.0286531\pi\) | |||||||
\(858\) | 0.933111 | − | 2.24931i | 0.0318559 | − | 0.0767903i | ||||
\(859\) | −4.67171 | − | 14.3780i | −0.159397 | − | 0.490572i | 0.839183 | − | 0.543849i | \(-0.183033\pi\) |
−0.998580 | + | 0.0532766i | \(0.983033\pi\) | |||||||
\(860\) | 8.12657 | − | 9.02547i | 0.277114 | − | 0.307766i | ||||
\(861\) | 14.0192 | − | 2.97988i | 0.477774 | − | 0.101554i | ||||
\(862\) | 4.84459 | − | 8.39108i | 0.165007 | − | 0.285801i | ||||
\(863\) | −19.1845 | −0.653046 | −0.326523 | − | 0.945189i | \(-0.605877\pi\) | ||||
−0.326523 | + | 0.945189i | \(0.605877\pi\) | |||||||
\(864\) | −18.6062 | − | 20.6643i | −0.632997 | − | 0.703014i | ||||
\(865\) | 0.951450 | − | 0.423613i | 0.0323503 | − | 0.0144033i | ||||
\(866\) | 8.15185 | − | 5.92267i | 0.277011 | − | 0.201260i | ||||
\(867\) | −4.65256 | + | 8.05847i | −0.158009 | + | 0.273680i | ||||
\(868\) | −13.8214 | − | 29.5047i | −0.469127 | − | 1.00146i | ||||
\(869\) | 9.24258 | + | 16.0086i | 0.313533 | + | 0.543055i | ||||
\(870\) | 1.61905 | − | 1.17631i | 0.0548908 | − | 0.0398805i | ||||
\(871\) | 24.0686 | + | 50.5306i | 0.815533 | + | 1.71216i | ||||
\(872\) | −0.678839 | + | 2.08925i | −0.0229884 | + | 0.0707510i | ||||
\(873\) | −1.76356 | − | 3.05458i | −0.0596876 | − | 0.103382i | ||||
\(874\) | −3.94163 | − | 6.82711i | −0.133328 | − | 0.230930i | ||||
\(875\) | −21.5876 | − | 23.9755i | −0.729795 | − | 0.810520i | ||||
\(876\) | 3.93976 | + | 12.1253i | 0.133112 | + | 0.409677i | ||||
\(877\) | 10.3371 | + | 2.19723i | 0.349061 | + | 0.0741951i | 0.379106 | − | 0.925353i | \(-0.376232\pi\) |
−0.0300450 | + | 0.999549i | \(0.509565\pi\) | |||||||
\(878\) | 0.117084 | + | 1.11398i | 0.00395141 | + | 0.0375951i | ||||
\(879\) | −1.03082 | + | 3.17253i | −0.0347686 | + | 0.107007i | ||||
\(880\) | −0.175331 | − | 1.66816i | −0.00591040 | − | 0.0562337i | ||||
\(881\) | 1.18603 | − | 11.2843i | 0.0399583 | − | 0.380178i | −0.956207 | − | 0.292690i | \(-0.905449\pi\) |
0.996166 | − | 0.0874878i | \(-0.0278839\pi\) | |||||||
\(882\) | 6.24711 | − | 6.93811i | 0.210351 | − | 0.233618i | ||||
\(883\) | −40.0884 | − | 29.1260i | −1.34908 | − | 0.980167i | −0.999057 | − | 0.0434270i | \(-0.986172\pi\) |
−0.350027 | − | 0.936740i | \(-0.613828\pi\) | |||||||
\(884\) | −6.56443 | − | 13.7817i | −0.220786 | − | 0.463527i | ||||
\(885\) | −2.02430 | − | 6.23017i | −0.0680462 | − | 0.209425i | ||||
\(886\) | −2.41079 | + | 22.9372i | −0.0809922 | + | 0.770589i | ||||
\(887\) | 43.6367 | + | 19.4283i | 1.46518 | + | 0.652338i | 0.975587 | − | 0.219615i | \(-0.0704800\pi\) |
0.489589 | + | 0.871953i | \(0.337147\pi\) | |||||||
\(888\) | 1.57940 | + | 1.75411i | 0.0530013 | + | 0.0588639i | ||||
\(889\) | 28.5606 | − | 20.7505i | 0.957892 | − | 0.695949i | ||||
\(890\) | 5.58095 | + | 1.18627i | 0.187074 | + | 0.0397638i | ||||
\(891\) | −1.74152 | − | 0.370172i | −0.0583432 | − | 0.0124012i | ||||
\(892\) | 1.17006 | − | 3.60108i | 0.0391766 | − | 0.120573i | ||||
\(893\) | −40.2422 | + | 69.7015i | −1.34665 | + | 2.33247i | ||||
\(894\) | −5.35251 | − | 9.27083i | −0.179015 | − | 0.310063i | ||||
\(895\) | 1.72251 | − | 0.366131i | 0.0575771 | − | 0.0122384i | ||||
\(896\) | −33.4926 | − | 24.3338i | −1.11891 | − | 0.812934i | ||||
\(897\) | 4.00495 | + | 5.22516i | 0.133721 | + | 0.174463i | ||||
\(898\) | −6.43388 | −0.214701 | ||||||||
\(899\) | −18.5994 | + | 2.31685i | −0.620324 | + | 0.0772714i | ||||
\(900\) | 6.72496 | + | 11.6480i | 0.224165 | + | 0.388265i | ||||
\(901\) | 3.75660 | + | 35.7417i | 0.125151 | + | 1.19073i | ||||
\(902\) | 2.31511 | + | 1.68203i | 0.0770847 | + | 0.0560053i | ||||
\(903\) | 19.2022 | + | 21.3262i | 0.639009 | + | 0.709691i | ||||
\(904\) | 1.79625 | − | 3.11119i | 0.0597423 | − | 0.103477i | ||||
\(905\) | 11.6683 | 0.387868 | ||||||||
\(906\) | −0.784740 | − | 0.871542i | −0.0260712 | − | 0.0289550i | ||||
\(907\) | −14.9054 | + | 16.5541i | −0.494924 | + | 0.549669i | −0.937919 | − | 0.346855i | \(-0.887249\pi\) |
0.442994 | + | 0.896524i | \(0.353916\pi\) | |||||||
\(908\) | −12.1688 | + | 13.5148i | −0.403836 | + | 0.448505i | ||||
\(909\) | −19.5663 | + | 14.2158i | −0.648975 | + | 0.471508i | ||||
\(910\) | −1.94737 | − | 8.13058i | −0.0645545 | − | 0.269526i | ||||
\(911\) | −30.6027 | + | 22.2341i | −1.01391 | + | 0.736650i | −0.965026 | − | 0.262155i | \(-0.915567\pi\) |
−0.0488854 | + | 0.998804i | \(0.515567\pi\) | |||||||
\(912\) | 1.01862 | − | 9.69151i | 0.0337298 | − | 0.320918i | ||||
\(913\) | −2.23386 | + | 2.48095i | −0.0739300 | + | 0.0821076i | ||||
\(914\) | 9.75835 | − | 4.34470i | 0.322778 | − | 0.143710i | ||||
\(915\) | −3.73256 | − | 2.71186i | −0.123394 | − | 0.0896513i | ||||
\(916\) | −12.9866 | − | 2.76039i | −0.429090 | − | 0.0912059i | ||||
\(917\) | −57.2120 | + | 25.4724i | −1.88931 | + | 0.841173i | ||||
\(918\) | −6.90486 | + | 5.01667i | −0.227894 | + | 0.165575i | ||||
\(919\) | −4.04944 | − | 4.49736i | −0.133579 | − | 0.148354i | 0.672644 | − | 0.739966i | \(-0.265158\pi\) |
−0.806223 | + | 0.591612i | \(0.798492\pi\) | |||||||
\(920\) | −3.89628 | − | 1.73473i | −0.128456 | − | 0.0571925i | ||||
\(921\) | 0.244039 | − | 0.271032i | 0.00804135 | − | 0.00893082i | ||||
\(922\) | 4.54656 | + | 13.9929i | 0.149733 | + | 0.460831i | ||||
\(923\) | −49.1637 | − | 14.5917i | −1.61824 | − | 0.480290i | ||||
\(924\) | 6.04986 | 0.199026 | ||||||||
\(925\) | −2.16806 | − | 3.75519i | −0.0712853 | − | 0.123470i | ||||
\(926\) | −10.4786 | + | 2.22730i | −0.344348 | + | 0.0731935i | ||||
\(927\) | −6.79917 | + | 3.02719i | −0.223314 | + | 0.0994258i | ||||
\(928\) | −15.5997 | + | 11.3339i | −0.512087 | + | 0.372053i | ||||
\(929\) | 17.4142 | − | 30.1623i | 0.571341 | − | 0.989592i | −0.425087 | − | 0.905152i | \(-0.639757\pi\) |
0.996429 | − | 0.0844398i | \(-0.0269101\pi\) | |||||||
\(930\) | 0.0635737 | + | 3.30934i | 0.00208466 | + | 0.108517i | ||||
\(931\) | 43.0818 | 1.41195 | ||||||||
\(932\) | −1.65610 | − | 15.7568i | −0.0542474 | − | 0.516130i | ||||
\(933\) | −0.839526 | + | 7.98756i | −0.0274849 | + | 0.261501i | ||||
\(934\) | −11.5528 | + | 2.45562i | −0.378019 | + | 0.0803503i | ||||
\(935\) | −2.78400 | −0.0910466 | ||||||||
\(936\) | 0.451158 | + | 17.5898i | 0.0147466 | + | 0.574941i | ||||
\(937\) | −13.5384 | + | 41.6668i | −0.442279 | + | 1.36119i | 0.443161 | + | 0.896442i | \(0.353857\pi\) |
−0.885440 | + | 0.464753i | \(0.846143\pi\) | |||||||
\(938\) | 25.2408 | − | 28.0328i | 0.824142 | − | 0.915302i | ||||
\(939\) | −13.4987 | + | 14.9918i | −0.440514 | + | 0.489241i | ||||
\(940\) | 2.00396 | + | 19.0664i | 0.0653619 | + | 0.621877i | ||||
\(941\) | 4.46384 | − | 13.7383i | 0.145517 | − | 0.447855i | −0.851560 | − | 0.524257i | \(-0.824343\pi\) |
0.997077 | + | 0.0764017i | \(0.0243431\pi\) | |||||||
\(942\) | 0.620481 | + | 5.90348i | 0.0202164 | + | 0.192346i | ||||
\(943\) | −7.06752 | + | 3.14666i | −0.230150 | + | 0.102469i | ||||
\(944\) | 3.60693 | + | 11.1010i | 0.117396 | + | 0.361306i | ||||
\(945\) | 15.7411 | − | 7.00840i | 0.512059 | − | 0.227983i | ||||
\(946\) | −0.598919 | + | 5.69834i | −0.0194725 | + | 0.185269i | ||||
\(947\) | −10.3504 | + | 11.4952i | −0.336341 | + | 0.373545i | −0.887462 | − | 0.460881i | \(-0.847534\pi\) |
0.551121 | + | 0.834425i | \(0.314200\pi\) | |||||||
\(948\) | 20.6955 | + | 15.0362i | 0.672159 | + | 0.488352i | ||||
\(949\) | 11.7407 | − | 28.3015i | 0.381118 | − | 0.918704i | ||||
\(950\) | 5.20297 | − | 16.0131i | 0.168807 | − | 0.519533i | ||||
\(951\) | −14.0567 | − | 6.25846i | −0.455821 | − | 0.202944i | ||||
\(952\) | −15.6359 | + | 17.3654i | −0.506761 | + | 0.562815i | ||||
\(953\) | −2.82580 | − | 0.600642i | −0.0915365 | − | 0.0194567i | 0.161916 | − | 0.986805i | \(-0.448233\pi\) |
−0.253452 | + | 0.967348i | \(0.581566\pi\) | |||||||
\(954\) | 5.63603 | − | 17.3459i | 0.182473 | − | 0.561595i | ||||
\(955\) | −9.96304 | + | 17.2565i | −0.322396 | + | 0.558407i | ||||
\(956\) | −10.9192 | + | 18.9126i | −0.353152 | + | 0.611677i | ||||
\(957\) | 1.07547 | − | 3.30995i | 0.0347650 | − | 0.106996i | ||||
\(958\) | 3.85786 | − | 1.71763i | 0.124642 | − | 0.0554942i | ||||
\(959\) | 50.6689 | + | 22.5593i | 1.63618 | + | 0.728476i | ||||
\(960\) | 0.227112 | + | 0.393370i | 0.00733002 | + | 0.0126960i | ||||
\(961\) | 14.4575 | − | 27.4223i | 0.466370 | − | 0.884590i | ||||
\(962\) | −0.0640381 | − | 2.49673i | −0.00206467 | − | 0.0804977i | ||||
\(963\) | −20.0837 | + | 14.5917i | −0.647190 | + | 0.470211i | ||||
\(964\) | −0.789255 | + | 7.50926i | −0.0254202 | + | 0.241857i | ||||
\(965\) | 9.53153 | − | 2.02599i | 0.306831 | − | 0.0652189i | ||||
\(966\) | 2.21851 | − | 3.84257i | 0.0713794 | − | 0.123633i | ||||
\(967\) | 2.79183 | 0.0897793 | 0.0448896 | − | 0.998992i | \(-0.485706\pi\) | ||||
0.0448896 | + | 0.998992i | \(0.485706\pi\) | |||||||
\(968\) | −15.3460 | − | 17.0435i | −0.493239 | − | 0.547797i | ||||
\(969\) | −15.8208 | − | 3.36281i | −0.508236 | − | 0.108029i | ||||
\(970\) | 0.325009 | + | 1.00027i | 0.0104354 | + | 0.0321169i | ||||
\(971\) | 2.22711 | + | 21.1895i | 0.0714714 | + | 0.680005i | 0.970333 | + | 0.241772i | \(0.0777287\pi\) |
−0.898862 | + | 0.438233i | \(0.855605\pi\) | |||||||
\(972\) | −24.8211 | + | 5.27588i | −0.796137 | + | 0.169224i | ||||
\(973\) | 47.2387 | + | 21.0320i | 1.51440 | + | 0.674255i | ||||
\(974\) | 3.50737 | + | 2.54826i | 0.112384 | + | 0.0816514i | ||||
\(975\) | −2.56984 | + | 13.8242i | −0.0823007 | + | 0.442729i | ||||
\(976\) | 6.65072 | + | 4.83203i | 0.212884 | + | 0.154669i | ||||
\(977\) | 1.68331 | − | 16.0156i | 0.0538537 | − | 0.512384i | −0.934031 | − | 0.357193i | \(-0.883734\pi\) |
0.987884 | − | 0.155191i | \(-0.0495994\pi\) | |||||||
\(978\) | 9.25054 | − | 10.2738i | 0.295800 | − | 0.328519i | ||||
\(979\) | 9.06458 | − | 4.03581i | 0.289705 | − | 0.128985i | ||||
\(980\) | 8.30220 | − | 6.03190i | 0.265204 | − | 0.192682i | ||||
\(981\) | 1.31643 | + | 1.46205i | 0.0420304 | + | 0.0466795i | ||||
\(982\) | 1.96979 | + | 18.7413i | 0.0628584 | + | 0.598058i | ||||
\(983\) | 12.0397 | + | 37.0543i | 0.384006 | + | 1.18185i | 0.937199 | + | 0.348795i | \(0.113409\pi\) |
−0.553193 | + | 0.833053i | \(0.686591\pi\) | |||||||
\(984\) | 8.79803 | + | 1.87008i | 0.280471 | + | 0.0596159i | ||||
\(985\) | −4.77182 | + | 1.01428i | −0.152043 | + | 0.0323177i | ||||
\(986\) | 2.95923 | + | 5.12555i | 0.0942412 | + | 0.163231i | ||||
\(987\) | −45.2999 | −1.44191 | ||||||||
\(988\) | −25.9443 | + | 24.5937i | −0.825397 | + | 0.782431i | ||||
\(989\) | −12.5318 | − | 9.10490i | −0.398489 | − | 0.289519i | ||||
\(990\) | 1.29071 | + | 0.574663i | 0.0410216 | + | 0.0182640i | ||||
\(991\) | 4.96213 | + | 8.59466i | 0.157627 | + | 0.273018i | 0.934013 | − | 0.357240i | \(-0.116282\pi\) |
−0.776385 | + | 0.630258i | \(0.782949\pi\) | |||||||
\(992\) | −0.612542 | − | 31.8860i | −0.0194482 | − | 1.01238i | ||||
\(993\) | 13.5316 | 0.429414 | ||||||||
\(994\) | 3.61284 | + | 34.3739i | 0.114592 | + | 1.09027i | ||||
\(995\) | −1.93488 | + | 0.861465i | −0.0613399 | + | 0.0273103i | ||||
\(996\) | −1.42765 | + | 4.39387i | −0.0452370 | + | 0.139225i | ||||
\(997\) | −24.3555 | + | 42.1850i | −0.771347 | + | 1.33601i | 0.165477 | + | 0.986214i | \(0.447084\pi\) |
−0.936825 | + | 0.349799i | \(0.886250\pi\) | |||||||
\(998\) | −5.94031 | − | 10.2889i | −0.188037 | − | 0.325690i | ||||
\(999\) | 5.03489 | − | 1.07020i | 0.159297 | − | 0.0338596i |
(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 | 403.2.bl.b.16.15 | ✓ | 280 | |
13.9 | even | 3 | inner | 403.2.bl.b.295.21 | yes | 280 | |
31.2 | even | 5 | inner | 403.2.bl.b.250.21 | yes | 280 | |
403.126 | even | 15 | inner | 403.2.bl.b.126.15 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.b.16.15 | ✓ | 280 | 1.1 | even | 1 | trivial | |
403.2.bl.b.126.15 | yes | 280 | 403.126 | even | 15 | inner | |
403.2.bl.b.250.21 | yes | 280 | 31.2 | even | 5 | inner | |
403.2.bl.b.295.21 | yes | 280 | 13.9 | even | 3 | inner |