Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(17,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.ba (of order \(36\), degree \(12\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 163.4 | ||
Character | \(\chi\) | \(=\) | 370.163 |
Dual form | 370.2.ba.b.227.4 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{13}{36}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.217829 | + | 0.467137i | −0.125764 | + | 0.269701i | −0.959101 | − | 0.283063i | \(-0.908649\pi\) |
0.833337 | + | 0.552765i | \(0.186427\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 1.08799 | − | 1.95353i | 0.486564 | − | 0.873645i | ||||
\(6\) | −0.364463 | + | 0.364463i | −0.148791 | + | 0.148791i | ||||
\(7\) | −2.39725 | − | 3.42363i | −0.906077 | − | 1.29401i | −0.955426 | − | 0.295230i | \(-0.904604\pi\) |
0.0493497 | − | 0.998782i | \(-0.484285\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 1.75760 | + | 2.09462i | 0.585865 | + | 0.698207i | ||||
\(10\) | 1.69052 | − | 1.46360i | 0.534590 | − | 0.462832i | ||||
\(11\) | 5.07492 | − | 2.93001i | 1.53015 | − | 0.883430i | 0.530791 | − | 0.847503i | \(-0.321895\pi\) |
0.999354 | − | 0.0359271i | \(-0.0114384\pi\) | |||||||
\(12\) | −0.467137 | + | 0.217829i | −0.134851 | + | 0.0628819i | ||||
\(13\) | −0.0922595 | − | 0.0774149i | −0.0255882 | − | 0.0214710i | 0.629904 | − | 0.776673i | \(-0.283094\pi\) |
−0.655492 | + | 0.755202i | \(0.727539\pi\) | |||||||
\(14\) | −1.08173 | − | 4.03707i | −0.289104 | − | 1.07895i | ||||
\(15\) | 0.675569 | + | 0.933776i | 0.174431 | + | 0.241100i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 2.06503 | + | 2.46101i | 0.500844 | + | 0.596883i | 0.955941 | − | 0.293559i | \(-0.0948397\pi\) |
−0.455097 | + | 0.890442i | \(0.650395\pi\) | |||||||
\(18\) | 0.935197 | + | 2.56943i | 0.220428 | + | 0.605621i | ||||
\(19\) | −1.63404 | − | 0.761964i | −0.374874 | − | 0.174807i | 0.226045 | − | 0.974117i | \(-0.427421\pi\) |
−0.600918 | + | 0.799310i | \(0.705198\pi\) | |||||||
\(20\) | 2.08915 | − | 0.797144i | 0.467149 | − | 0.178247i | ||||
\(21\) | 2.12150 | − | 0.374077i | 0.462948 | − | 0.0816303i | ||||
\(22\) | 5.77098 | − | 1.01758i | 1.23038 | − | 0.216949i | ||||
\(23\) | −4.25632 | + | 7.37216i | −0.887504 | + | 1.53720i | −0.0446872 | + | 0.999001i | \(0.514229\pi\) |
−0.842817 | + | 0.538201i | \(0.819104\pi\) | |||||||
\(24\) | −0.513467 | + | 0.0449225i | −0.104811 | + | 0.00916977i | ||||
\(25\) | −2.63256 | − | 4.25084i | −0.526511 | − | 0.850168i | ||||
\(26\) | −0.0602181 | − | 0.104301i | −0.0118097 | − | 0.0204551i | ||||
\(27\) | −2.85493 | + | 0.764975i | −0.549431 | + | 0.147220i | ||||
\(28\) | 0.364266 | − | 4.16358i | 0.0688398 | − | 0.786843i | ||||
\(29\) | 3.51490 | + | 0.941816i | 0.652701 | + | 0.174891i | 0.569950 | − | 0.821679i | \(-0.306963\pi\) |
0.0827514 | + | 0.996570i | \(0.473629\pi\) | |||||||
\(30\) | 0.315457 | + | 1.10852i | 0.0575943 | + | 0.202387i | ||||
\(31\) | −1.44493 | − | 1.44493i | −0.259517 | − | 0.259517i | 0.565341 | − | 0.824858i | \(-0.308745\pi\) |
−0.824858 | + | 0.565341i | \(0.808745\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 0.263246 | + | 3.00892i | 0.0458253 | + | 0.523786i | ||||
\(34\) | 1.09878 | + | 3.01888i | 0.188440 | + | 0.517733i | ||||
\(35\) | −9.29635 | + | 0.958228i | −1.57137 | + | 0.161970i | ||||
\(36\) | 2.73433i | 0.455722i | ||||||||
\(37\) | −6.08262 | − | 0.0422597i | −0.999976 | − | 0.00694745i | ||||
\(38\) | −1.27489 | − | 1.27489i | −0.206814 | − | 0.206814i | ||||
\(39\) | 0.0562602 | − | 0.0262346i | 0.00900884 | − | 0.00420089i | ||||
\(40\) | 2.23580 | − | 0.0345381i | 0.353511 | − | 0.00546095i | ||||
\(41\) | −4.18660 | + | 4.98939i | −0.653837 | + | 0.779213i | −0.986487 | − | 0.163838i | \(-0.947613\pi\) |
0.332650 | + | 0.943050i | \(0.392057\pi\) | |||||||
\(42\) | 2.12150 | + | 0.374077i | 0.327354 | + | 0.0577213i | ||||
\(43\) | 11.2578 | 1.71680 | 0.858399 | − | 0.512982i | \(-0.171459\pi\) | ||||
0.858399 | + | 0.512982i | \(0.171459\pi\) | |||||||
\(44\) | 5.77098 | + | 1.01758i | 0.870009 | + | 0.153406i | ||||
\(45\) | 6.00415 | − | 1.15459i | 0.895046 | − | 0.172116i | ||||
\(46\) | −6.52106 | + | 5.47182i | −0.961478 | + | 0.806776i | ||||
\(47\) | −2.71264 | − | 10.1237i | −0.395679 | − | 1.47669i | −0.820620 | − | 0.571474i | \(-0.806372\pi\) |
0.424941 | − | 0.905221i | \(-0.360295\pi\) | |||||||
\(48\) | −0.497865 | − | 0.133403i | −0.0718607 | − | 0.0192550i | ||||
\(49\) | −3.58029 | + | 9.83678i | −0.511471 | + | 1.40525i | ||||
\(50\) | −1.01992 | − | 4.89487i | −0.144239 | − | 0.692239i | ||||
\(51\) | −1.59945 | + | 0.428572i | −0.223968 | + | 0.0600121i | ||||
\(52\) | −0.0209135 | − | 0.118607i | −0.00290019 | − | 0.0164478i | ||||
\(53\) | −2.08418 | + | 2.97652i | −0.286284 | + | 0.408856i | −0.936375 | − | 0.351000i | \(-0.885842\pi\) |
0.650091 | + | 0.759856i | \(0.274731\pi\) | |||||||
\(54\) | −2.94439 | − | 0.257601i | −0.400681 | − | 0.0350550i | ||||
\(55\) | −0.202393 | − | 13.1018i | −0.0272907 | − | 1.76665i | ||||
\(56\) | 1.76633 | − | 3.78790i | 0.236035 | − | 0.506179i | ||||
\(57\) | 0.711882 | − | 0.597340i | 0.0942911 | − | 0.0791196i | ||||
\(58\) | 2.98081 | + | 2.08719i | 0.391399 | + | 0.274061i | ||||
\(59\) | 7.04443 | − | 10.0605i | 0.917106 | − | 1.30976i | −0.0335239 | − | 0.999438i | \(-0.510673\pi\) |
0.950630 | − | 0.310326i | \(-0.100438\pi\) | |||||||
\(60\) | −0.0827037 | + | 1.14956i | −0.0106770 | + | 0.148408i | ||||
\(61\) | 0.638144 | + | 7.29402i | 0.0817059 | + | 0.933903i | 0.920830 | + | 0.389964i | \(0.127512\pi\) |
−0.839124 | + | 0.543940i | \(0.816932\pi\) | |||||||
\(62\) | −0.863595 | − | 1.85199i | −0.109677 | − | 0.235202i | ||||
\(63\) | 2.95781 | − | 11.0387i | 0.372649 | − | 1.39075i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.251610 | + | 0.0960051i | −0.0312084 | + | 0.0119080i | ||||
\(66\) | −0.781741 | + | 2.91750i | −0.0962256 | + | 0.359119i | ||||
\(67\) | −6.86037 | + | 4.80368i | −0.838127 | + | 0.586863i | −0.911900 | − | 0.410412i | \(-0.865385\pi\) |
0.0737728 | + | 0.997275i | \(0.476496\pi\) | |||||||
\(68\) | 3.21262i | 0.389588i | ||||||||
\(69\) | −2.51665 | − | 3.59416i | −0.302970 | − | 0.432685i | ||||
\(70\) | −9.06345 | − | 2.27910i | −1.08329 | − | 0.272405i | ||||
\(71\) | −10.0833 | + | 3.67002i | −1.19667 | + | 0.435552i | −0.862060 | − | 0.506806i | \(-0.830826\pi\) |
−0.334608 | + | 0.942357i | \(0.608604\pi\) | |||||||
\(72\) | −0.935197 | + | 2.56943i | −0.110214 | + | 0.302811i | ||||
\(73\) | −3.30299 | + | 3.30299i | −0.386586 | + | 0.386586i | −0.873468 | − | 0.486882i | \(-0.838134\pi\) |
0.486882 | + | 0.873468i | \(0.338134\pi\) | |||||||
\(74\) | −5.70134 | − | 2.12009i | −0.662767 | − | 0.246455i | ||||
\(75\) | 2.55917 | − | 0.303806i | 0.295508 | − | 0.0350804i | ||||
\(76\) | −0.761964 | − | 1.63404i | −0.0874033 | − | 0.187437i | ||||
\(77\) | −22.1971 | − | 10.3507i | −2.52960 | − | 1.17957i | ||||
\(78\) | 0.0618400 | − | 0.00541030i | 0.00700200 | − | 0.000612596i | ||||
\(79\) | −4.23243 | + | 2.96358i | −0.476185 | + | 0.333429i | −0.786906 | − | 0.617073i | \(-0.788318\pi\) |
0.310721 | + | 0.950501i | \(0.399430\pi\) | |||||||
\(80\) | 2.11278 | + | 0.732234i | 0.236216 | + | 0.0818662i | ||||
\(81\) | −1.15990 | + | 6.57811i | −0.128877 | + | 0.730901i | ||||
\(82\) | −5.64059 | + | 3.25660i | −0.622899 | + | 0.359631i | ||||
\(83\) | −5.71345 | − | 0.499862i | −0.627132 | − | 0.0548670i | −0.230841 | − | 0.972992i | \(-0.574148\pi\) |
−0.396292 | + | 0.918125i | \(0.629703\pi\) | |||||||
\(84\) | 1.86561 | + | 1.07711i | 0.203555 | + | 0.117523i | ||||
\(85\) | 7.05440 | − | 1.35655i | 0.765157 | − | 0.147138i | ||||
\(86\) | 10.5789 | + | 3.85039i | 1.14075 | + | 0.415199i | ||||
\(87\) | −1.20561 | + | 1.43679i | −0.129255 | + | 0.154040i | ||||
\(88\) | 5.07492 | + | 2.93001i | 0.540988 | + | 0.312340i | ||||
\(89\) | 8.86691 | + | 6.20868i | 0.939890 | + | 0.658118i | 0.939743 | − | 0.341882i | \(-0.111064\pi\) |
0.000147385 | 1.00000i | \(0.499953\pi\) | ||||||||
\(90\) | 6.03695 | + | 0.968582i | 0.636350 | + | 0.102097i | ||||
\(91\) | −0.0438708 | + | 0.501446i | −0.00459891 | + | 0.0525658i | ||||
\(92\) | −7.99926 | + | 2.91149i | −0.833981 | + | 0.303544i | ||||
\(93\) | 0.989728 | − | 0.360231i | 0.102630 | − | 0.0373543i | ||||
\(94\) | 0.913465 | − | 10.4410i | 0.0942167 | − | 1.07690i | ||||
\(95\) | −3.26633 | + | 2.36313i | −0.335119 | + | 0.242452i | ||||
\(96\) | −0.422214 | − | 0.295637i | −0.0430920 | − | 0.0301734i | ||||
\(97\) | 6.68330 | + | 3.85860i | 0.678586 | + | 0.391782i | 0.799322 | − | 0.600903i | \(-0.205192\pi\) |
−0.120736 | + | 0.992685i | \(0.538525\pi\) | |||||||
\(98\) | −6.72875 | + | 8.01902i | −0.679707 | + | 0.810043i | ||||
\(99\) | 15.0569 | + | 5.48027i | 1.51328 | + | 0.550787i | ||||
\(100\) | 0.715732 | − | 4.94851i | 0.0715732 | − | 0.494851i | ||||
\(101\) | −3.61027 | − | 2.08439i | −0.359235 | − | 0.207404i | 0.309510 | − | 0.950896i | \(-0.399835\pi\) |
−0.668745 | + | 0.743492i | \(0.733168\pi\) | |||||||
\(102\) | −1.64958 | − | 0.144319i | −0.163332 | − | 0.0142897i | ||||
\(103\) | −7.69016 | + | 4.43992i | −0.757734 | + | 0.437478i | −0.828482 | − | 0.560016i | \(-0.810795\pi\) |
0.0707473 | + | 0.997494i | \(0.477462\pi\) | |||||||
\(104\) | 0.0209135 | − | 0.118607i | 0.00205074 | − | 0.0116303i | ||||
\(105\) | 1.57740 | − | 4.55140i | 0.153938 | − | 0.444171i | ||||
\(106\) | −2.97652 | + | 2.08418i | −0.289105 | + | 0.202433i | ||||
\(107\) | 1.13918 | − | 0.0996655i | 0.110129 | − | 0.00963502i | −0.0319581 | − | 0.999489i | \(-0.510174\pi\) |
0.142087 | + | 0.989854i | \(0.454619\pi\) | |||||||
\(108\) | −2.67872 | − | 1.24911i | −0.257760 | − | 0.120195i | ||||
\(109\) | −0.653121 | − | 1.40062i | −0.0625577 | − | 0.134155i | 0.872543 | − | 0.488537i | \(-0.162469\pi\) |
−0.935101 | + | 0.354381i | \(0.884691\pi\) | |||||||
\(110\) | 4.29090 | − | 12.3809i | 0.409121 | − | 1.18047i | ||||
\(111\) | 1.34471 | − | 2.83221i | 0.127635 | − | 0.268821i | ||||
\(112\) | 2.95534 | − | 2.95534i | 0.279253 | − | 0.279253i | ||||
\(113\) | −0.339096 | + | 0.931658i | −0.0318994 | + | 0.0876430i | −0.954620 | − | 0.297827i | \(-0.903738\pi\) |
0.922721 | + | 0.385470i | \(0.125961\pi\) | |||||||
\(114\) | 0.873253 | − | 0.317838i | 0.0817876 | − | 0.0297683i | ||||
\(115\) | 9.77090 | + | 16.3357i | 0.911141 | + | 1.52331i | ||||
\(116\) | 2.08719 | + | 2.98081i | 0.193790 | + | 0.276761i | ||||
\(117\) | − | 0.329313i | − | 0.0304450i | ||||||
\(118\) | 10.0605 | − | 7.04443i | 0.926143 | − | 0.648492i | ||||
\(119\) | 3.47519 | − | 12.9696i | 0.318570 | − | 1.18892i | ||||
\(120\) | −0.470889 | + | 1.05195i | −0.0429861 | + | 0.0960293i | ||||
\(121\) | 11.6699 | − | 20.2128i | 1.06090 | − | 1.83753i | ||||
\(122\) | −1.89504 | + | 7.07239i | −0.171569 | + | 0.640304i | ||||
\(123\) | −1.41876 | − | 3.04255i | −0.127926 | − | 0.274337i | ||||
\(124\) | −0.178097 | − | 2.03566i | −0.0159936 | − | 0.182808i | ||||
\(125\) | −11.1683 | + | 0.517906i | −0.998927 | + | 0.0463229i | ||||
\(126\) | 6.55489 | − | 9.36135i | 0.583956 | − | 0.833976i | ||||
\(127\) | 9.30413 | + | 6.51482i | 0.825608 | + | 0.578097i | 0.908224 | − | 0.418485i | \(-0.137439\pi\) |
−0.0826161 | + | 0.996581i | \(0.526328\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −2.45228 | + | 5.25893i | −0.215911 | + | 0.463023i | ||||
\(130\) | −0.269272 | + | 0.00415964i | −0.0236167 | + | 0.000364824i | ||||
\(131\) | −9.02275 | − | 0.789389i | −0.788322 | − | 0.0689692i | −0.314117 | − | 0.949384i | \(-0.601709\pi\) |
−0.474204 | + | 0.880415i | \(0.657264\pi\) | |||||||
\(132\) | −1.73244 | + | 2.47418i | −0.150789 | + | 0.215350i | ||||
\(133\) | 1.30852 | + | 7.42096i | 0.113463 | + | 0.643479i | ||||
\(134\) | −8.08959 | + | 2.16760i | −0.698834 | + | 0.187252i | ||||
\(135\) | −1.61173 | + | 6.40947i | −0.138716 | + | 0.551639i | ||||
\(136\) | −1.09878 | + | 3.01888i | −0.0942198 | + | 0.258867i | ||||
\(137\) | 17.6421 | + | 4.72718i | 1.50726 | + | 0.403870i | 0.915526 | − | 0.402260i | \(-0.131775\pi\) |
0.591739 | + | 0.806130i | \(0.298442\pi\) | |||||||
\(138\) | −1.13561 | − | 4.23815i | −0.0966694 | − | 0.360775i | ||||
\(139\) | −3.15125 | + | 2.64421i | −0.267285 | + | 0.224279i | −0.766573 | − | 0.642157i | \(-0.778040\pi\) |
0.499287 | + | 0.866436i | \(0.333595\pi\) | |||||||
\(140\) | −7.73736 | − | 5.24154i | −0.653926 | − | 0.442991i | ||||
\(141\) | 5.32005 | + | 0.938068i | 0.448029 | + | 0.0789996i | ||||
\(142\) | −10.7304 | −0.900478 | ||||||||
\(143\) | −0.695036 | − | 0.122554i | −0.0581218 | − | 0.0102484i | ||||
\(144\) | −1.75760 | + | 2.09462i | −0.146466 | + | 0.174552i | ||||
\(145\) | 5.66404 | − | 5.84178i | 0.470373 | − | 0.485134i | ||||
\(146\) | −4.23348 | + | 1.97411i | −0.350366 | + | 0.163378i | ||||
\(147\) | −3.81523 | − | 3.81523i | −0.314675 | − | 0.314675i | ||||
\(148\) | −4.63239 | − | 3.94220i | −0.380780 | − | 0.324047i | ||||
\(149\) | 1.97337i | 0.161665i | 0.996728 | + | 0.0808324i | \(0.0257579\pi\) | ||||
−0.996728 | + | 0.0808324i | \(0.974242\pi\) | |||||||
\(150\) | 2.50874 | + | 0.589804i | 0.204838 | + | 0.0481573i | ||||
\(151\) | 6.68436 | + | 18.3651i | 0.543965 | + | 1.49453i | 0.841733 | + | 0.539894i | \(0.181536\pi\) |
−0.297768 | + | 0.954638i | \(0.596242\pi\) | |||||||
\(152\) | −0.157138 | − | 1.79610i | −0.0127456 | − | 0.145683i | ||||
\(153\) | −1.52539 | + | 8.65093i | −0.123321 | + | 0.699386i | ||||
\(154\) | −17.3183 | − | 17.3183i | −1.39555 | − | 1.39555i | ||||
\(155\) | −4.39478 | + | 1.25064i | −0.352997 | + | 0.100454i | ||||
\(156\) | 0.0599610 | + | 0.0160665i | 0.00480073 | + | 0.00128635i | ||||
\(157\) | 0.371284 | − | 4.24379i | 0.0296317 | − | 0.338691i | −0.966880 | − | 0.255233i | \(-0.917848\pi\) |
0.996511 | − | 0.0834585i | \(-0.0265966\pi\) | |||||||
\(158\) | −4.99079 | + | 1.33728i | −0.397046 | + | 0.106388i | ||||
\(159\) | −0.936444 | − | 1.62197i | −0.0742649 | − | 0.128631i | ||||
\(160\) | 1.73492 | + | 1.41069i | 0.137158 | + | 0.111525i | ||||
\(161\) | 35.4430 | − | 3.10086i | 2.79330 | − | 0.244382i | ||||
\(162\) | −3.33979 | + | 5.78469i | −0.262399 | + | 0.454488i | ||||
\(163\) | 0.947301 | − | 0.167035i | 0.0741984 | − | 0.0130832i | −0.136426 | − | 0.990650i | \(-0.543562\pi\) |
0.210624 | + | 0.977567i | \(0.432450\pi\) | |||||||
\(164\) | −6.41424 | + | 1.13100i | −0.500868 | + | 0.0883166i | ||||
\(165\) | 6.16443 | + | 2.75942i | 0.479900 | + | 0.214820i | ||||
\(166\) | −5.19792 | − | 2.42383i | −0.403437 | − | 0.188126i | ||||
\(167\) | −8.52249 | − | 23.4154i | −0.659490 | − | 1.81194i | −0.579235 | − | 0.815161i | \(-0.696649\pi\) |
−0.0802556 | − | 0.996774i | \(-0.525574\pi\) | |||||||
\(168\) | 1.38471 | + | 1.65023i | 0.106833 | + | 0.127318i | ||||
\(169\) | −2.25491 | − | 12.7882i | −0.173454 | − | 0.983709i | ||||
\(170\) | 7.09293 | + | 1.13801i | 0.544003 | + | 0.0872810i | ||||
\(171\) | −1.27595 | − | 4.76191i | −0.0975744 | − | 0.364153i | ||||
\(172\) | 8.62398 | + | 7.23637i | 0.657572 | + | 0.551768i | ||||
\(173\) | 0.397286 | − | 0.185258i | 0.0302051 | − | 0.0140849i | −0.407457 | − | 0.913224i | \(-0.633584\pi\) |
0.437662 | + | 0.899140i | \(0.355807\pi\) | |||||||
\(174\) | −1.62431 | + | 0.937795i | −0.123138 | + | 0.0710940i | ||||
\(175\) | −8.24241 | + | 19.2032i | −0.623068 | + | 1.45163i | ||||
\(176\) | 3.76674 | + | 4.48903i | 0.283929 | + | 0.338373i | ||||
\(177\) | 3.16514 | + | 5.48218i | 0.237906 | + | 0.412066i | ||||
\(178\) | 6.20868 | + | 8.86691i | 0.465360 | + | 0.664603i | ||||
\(179\) | 5.04279 | − | 5.04279i | 0.376916 | − | 0.376916i | −0.493072 | − | 0.869988i | \(-0.664126\pi\) |
0.869988 | + | 0.493072i | \(0.164126\pi\) | |||||||
\(180\) | 5.34160 | + | 2.97493i | 0.398140 | + | 0.221738i | ||||
\(181\) | −4.36158 | − | 3.65980i | −0.324194 | − | 0.272031i | 0.466135 | − | 0.884713i | \(-0.345646\pi\) |
−0.790329 | + | 0.612683i | \(0.790090\pi\) | |||||||
\(182\) | −0.212730 | + | 0.456200i | −0.0157686 | + | 0.0338158i | ||||
\(183\) | −3.54631 | − | 1.29075i | −0.262151 | − | 0.0954150i | ||||
\(184\) | −8.51264 | −0.627560 | ||||||||
\(185\) | −6.70038 | + | 11.8366i | −0.492622 | + | 0.870244i | ||||
\(186\) | 1.05325 | 0.0772278 | ||||||||
\(187\) | 17.6907 | + | 6.43887i | 1.29367 | + | 0.470857i | ||||
\(188\) | 4.42939 | − | 9.49886i | 0.323047 | − | 0.692776i | ||||
\(189\) | 9.46297 | + | 7.94038i | 0.688330 | + | 0.577578i | ||||
\(190\) | −3.87759 | + | 1.10346i | −0.281310 | + | 0.0800537i | ||||
\(191\) | 12.3650 | − | 12.3650i | 0.894701 | − | 0.894701i | −0.100260 | − | 0.994961i | \(-0.531967\pi\) |
0.994961 | + | 0.100260i | \(0.0319675\pi\) | |||||||
\(192\) | −0.295637 | − | 0.422214i | −0.0213358 | − | 0.0304707i | ||||
\(193\) | −5.99567 | − | 10.3848i | −0.431578 | − | 0.747515i | 0.565432 | − | 0.824795i | \(-0.308710\pi\) |
−0.997009 | + | 0.0772806i | \(0.975376\pi\) | |||||||
\(194\) | 4.96052 | + | 5.91172i | 0.356145 | + | 0.424437i | ||||
\(195\) | 0.00996052 | − | 0.138449i | 0.000713288 | − | 0.00991453i | ||||
\(196\) | −9.06562 | + | 5.23404i | −0.647545 | + | 0.373860i | ||||
\(197\) | 5.26969 | − | 2.45730i | 0.375450 | − | 0.175075i | −0.225728 | − | 0.974190i | \(-0.572476\pi\) |
0.601178 | + | 0.799115i | \(0.294698\pi\) | |||||||
\(198\) | 12.2745 | + | 10.2995i | 0.872311 | + | 0.731956i | ||||
\(199\) | −3.02952 | − | 11.3063i | −0.214757 | − | 0.801483i | −0.986252 | − | 0.165248i | \(-0.947158\pi\) |
0.771495 | − | 0.636235i | \(-0.219509\pi\) | |||||||
\(200\) | 2.36506 | − | 4.40528i | 0.167235 | − | 0.311500i | ||||
\(201\) | −0.749586 | − | 4.25111i | −0.0528717 | − | 0.299850i | ||||
\(202\) | −2.67964 | − | 3.19347i | −0.188539 | − | 0.224692i | ||||
\(203\) | −5.20168 | − | 14.2915i | −0.365087 | − | 1.00307i | ||||
\(204\) | −1.50073 | − | 0.699803i | −0.105072 | − | 0.0489960i | ||||
\(205\) | 5.19195 | + | 13.6071i | 0.362622 | + | 0.950358i | ||||
\(206\) | −8.74493 | + | 1.54197i | −0.609288 | + | 0.107434i | ||||
\(207\) | −22.9228 | + | 4.04190i | −1.59324 | + | 0.280932i | ||||
\(208\) | 0.0602181 | − | 0.104301i | 0.00417538 | − | 0.00723196i | ||||
\(209\) | −10.5252 | + | 0.920832i | −0.728041 | + | 0.0636953i | ||||
\(210\) | 3.03894 | − | 3.73741i | 0.209707 | − | 0.257906i | ||||
\(211\) | 8.14188 | + | 14.1021i | 0.560510 | + | 0.970832i | 0.997452 | + | 0.0713421i | \(0.0227282\pi\) |
−0.436942 | + | 0.899490i | \(0.643938\pi\) | |||||||
\(212\) | −3.50984 | + | 0.940460i | −0.241057 | + | 0.0645910i | ||||
\(213\) | 0.482038 | − | 5.50972i | 0.0330287 | − | 0.377520i | ||||
\(214\) | 1.10457 | + | 0.295968i | 0.0755067 | + | 0.0202320i | ||||
\(215\) | 12.2484 | − | 21.9924i | 0.835332 | − | 1.49987i | ||||
\(216\) | −2.08995 | − | 2.08995i | −0.142203 | − | 0.142203i | ||||
\(217\) | −1.48305 | + | 8.41077i | −0.100676 | + | 0.570960i | ||||
\(218\) | −0.134692 | − | 1.53954i | −0.00912249 | − | 0.104271i | ||||
\(219\) | −0.823459 | − | 2.26244i | −0.0556442 | − | 0.152881i | ||||
\(220\) | 8.26664 | − | 10.1667i | 0.557337 | − | 0.685437i | ||||
\(221\) | − | 0.386916i | − | 0.0260268i | ||||||
\(222\) | 2.23229 | − | 2.20148i | 0.149821 | − | 0.147754i | ||||
\(223\) | 7.18479 | + | 7.18479i | 0.481129 | + | 0.481129i | 0.905492 | − | 0.424363i | \(-0.139502\pi\) |
−0.424363 | + | 0.905492i | \(0.639502\pi\) | |||||||
\(224\) | 3.78790 | − | 1.76633i | 0.253090 | − | 0.118018i | ||||
\(225\) | 4.27693 | − | 12.9855i | 0.285129 | − | 0.865698i | ||||
\(226\) | −0.637291 | + | 0.759494i | −0.0423920 | + | 0.0505208i | ||||
\(227\) | −11.9450 | − | 2.10622i | −0.792816 | − | 0.139795i | −0.237449 | − | 0.971400i | \(-0.576311\pi\) |
−0.555367 | + | 0.831605i | \(0.687422\pi\) | |||||||
\(228\) | 0.929296 | 0.0615442 | ||||||||
\(229\) | 26.1210 | + | 4.60584i | 1.72612 | + | 0.304362i | 0.946696 | − | 0.322129i | \(-0.104398\pi\) |
0.779428 | + | 0.626491i | \(0.215510\pi\) | |||||||
\(230\) | 3.59451 | + | 18.6924i | 0.237015 | + | 1.23254i | ||||
\(231\) | 9.67037 | − | 8.11440i | 0.636264 | − | 0.533889i | ||||
\(232\) | 0.941816 | + | 3.51490i | 0.0618332 | + | 0.230765i | ||||
\(233\) | 2.49237 | + | 0.667828i | 0.163281 | + | 0.0437509i | 0.339533 | − | 0.940594i | \(-0.389731\pi\) |
−0.176253 | + | 0.984345i | \(0.556398\pi\) | |||||||
\(234\) | 0.112632 | − | 0.309453i | 0.00736296 | − | 0.0202296i | ||||
\(235\) | −22.7283 | − | 5.71527i | −1.48263 | − | 0.372823i | ||||
\(236\) | 11.8631 | − | 3.17871i | 0.772222 | − | 0.206916i | ||||
\(237\) | −0.462449 | − | 2.62268i | −0.0300393 | − | 0.170361i | ||||
\(238\) | 7.70147 | − | 10.9988i | 0.499212 | − | 0.712949i | ||||
\(239\) | 3.56618 | + | 0.312000i | 0.230677 | + | 0.0201816i | 0.201908 | − | 0.979404i | \(-0.435286\pi\) |
0.0287688 | + | 0.999586i | \(0.490841\pi\) | |||||||
\(240\) | −0.802278 | + | 0.827454i | −0.0517868 | + | 0.0534119i | ||||
\(241\) | 0.306053 | − | 0.656334i | 0.0197146 | − | 0.0422782i | −0.896204 | − | 0.443642i | \(-0.853686\pi\) |
0.915919 | + | 0.401364i | \(0.131464\pi\) | |||||||
\(242\) | 17.8793 | − | 15.0025i | 1.14932 | − | 0.964396i | ||||
\(243\) | −10.0836 | − | 7.06059i | −0.646861 | − | 0.452937i | ||||
\(244\) | −4.19966 | + | 5.99773i | −0.268855 | + | 0.383965i | ||||
\(245\) | 15.3211 | + | 17.6965i | 0.978830 | + | 1.13059i | ||||
\(246\) | −0.292589 | − | 3.34431i | −0.0186548 | − | 0.213225i | ||||
\(247\) | 0.0917681 | + | 0.196797i | 0.00583906 | + | 0.0125219i | ||||
\(248\) | 0.528881 | − | 1.97381i | 0.0335840 | − | 0.125337i | ||||
\(249\) | 1.47806 | − | 2.56008i | 0.0936682 | − | 0.162238i | ||||
\(250\) | −10.6719 | − | 3.33312i | −0.674953 | − | 0.210805i | ||||
\(251\) | −5.93286 | + | 22.1417i | −0.374479 | + | 1.39757i | 0.479626 | + | 0.877473i | \(0.340772\pi\) |
−0.854105 | + | 0.520101i | \(0.825894\pi\) | |||||||
\(252\) | 9.36135 | − | 6.55489i | 0.589710 | − | 0.412919i | ||||
\(253\) | 49.8842i | 3.13619i | ||||||||
\(254\) | 6.51482 | + | 9.30413i | 0.408776 | + | 0.583793i | ||||
\(255\) | −0.902960 | + | 3.59086i | −0.0565456 | + | 0.224869i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 9.32640 | − | 25.6241i | 0.581765 | − | 1.59839i | −0.203397 | − | 0.979096i | \(-0.565198\pi\) |
0.785162 | − | 0.619290i | \(-0.212579\pi\) | |||||||
\(258\) | −4.10305 | + | 4.10305i | −0.255445 | + | 0.255445i | ||||
\(259\) | 14.4369 | + | 20.9259i | 0.897065 | + | 1.30028i | ||||
\(260\) | −0.254455 | − | 0.0881875i | −0.0157806 | − | 0.00546916i | ||||
\(261\) | 4.20503 | + | 9.01772i | 0.260285 | + | 0.558183i | ||||
\(262\) | −8.20863 | − | 3.82775i | −0.507131 | − | 0.236479i | ||||
\(263\) | −13.9167 | + | 1.21755i | −0.858139 | + | 0.0750774i | −0.507727 | − | 0.861518i | \(-0.669514\pi\) |
−0.350412 | + | 0.936596i | \(0.613959\pi\) | |||||||
\(264\) | −2.47418 | + | 1.73244i | −0.152275 | + | 0.106624i | ||||
\(265\) | 3.54715 | + | 7.30993i | 0.217900 | + | 0.449045i | ||||
\(266\) | −1.30852 | + | 7.42096i | −0.0802303 | + | 0.455008i | ||||
\(267\) | −4.83177 | + | 2.78962i | −0.295700 | + | 0.170722i | ||||
\(268\) | −8.34309 | − | 0.729926i | −0.509636 | − | 0.0445873i | ||||
\(269\) | −3.25099 | − | 1.87696i | −0.198216 | − | 0.114440i | 0.397607 | − | 0.917556i | \(-0.369841\pi\) |
−0.595823 | + | 0.803116i | \(0.703174\pi\) | |||||||
\(270\) | −3.70670 | + | 5.47169i | −0.225582 | + | 0.332996i | ||||
\(271\) | 1.87128 | + | 0.681091i | 0.113672 | + | 0.0413733i | 0.398230 | − | 0.917286i | \(-0.369625\pi\) |
−0.284558 | + | 0.958659i | \(0.591847\pi\) | |||||||
\(272\) | −2.06503 | + | 2.46101i | −0.125211 | + | 0.149221i | ||||
\(273\) | −0.224687 | − | 0.129723i | −0.0135987 | − | 0.00785121i | ||||
\(274\) | 14.9613 | + | 10.4760i | 0.903847 | + | 0.632881i | ||||
\(275\) | −25.8150 | − | 13.8593i | −1.55670 | − | 0.835745i | ||||
\(276\) | 0.382409 | − | 4.37096i | 0.0230183 | − | 0.263101i | ||||
\(277\) | 6.11756 | − | 2.22661i | 0.367569 | − | 0.133784i | −0.151631 | − | 0.988437i | \(-0.548452\pi\) |
0.519199 | + | 0.854653i | \(0.326230\pi\) | |||||||
\(278\) | −3.86558 | + | 1.40696i | −0.231842 | + | 0.0843836i | ||||
\(279\) | 0.486978 | − | 5.56618i | 0.0291546 | − | 0.333239i | ||||
\(280\) | −5.47803 | − | 7.57177i | −0.327375 | − | 0.452500i | ||||
\(281\) | −21.2654 | − | 14.8902i | −1.26859 | − | 0.888276i | −0.271346 | − | 0.962482i | \(-0.587469\pi\) |
−0.997243 | + | 0.0742061i | \(0.976358\pi\) | |||||||
\(282\) | 4.67837 | + | 2.70106i | 0.278593 | + | 0.160846i | ||||
\(283\) | 18.0793 | − | 21.5461i | 1.07470 | − | 1.28078i | 0.116968 | − | 0.993136i | \(-0.462682\pi\) |
0.957736 | − | 0.287647i | \(-0.0928731\pi\) | |||||||
\(284\) | −10.0833 | − | 3.67002i | −0.598334 | − | 0.217776i | ||||
\(285\) | −0.392401 | − | 2.04058i | −0.0232438 | − | 0.120874i | ||||
\(286\) | −0.611204 | − | 0.352879i | −0.0361413 | − | 0.0208662i | ||||
\(287\) | 27.1182 | + | 2.37253i | 1.60074 | + | 0.140046i | ||||
\(288\) | −2.36800 | + | 1.36717i | −0.139536 | + | 0.0805611i | ||||
\(289\) | 1.15981 | − | 6.57759i | 0.0682239 | − | 0.386917i | ||||
\(290\) | 7.32047 | − | 3.55226i | 0.429873 | − | 0.208596i | ||||
\(291\) | −3.25831 | + | 2.28149i | −0.191006 | + | 0.133744i | ||||
\(292\) | −4.65336 | + | 0.407116i | −0.272317 | + | 0.0238247i | ||||
\(293\) | 2.67782 | + | 1.24869i | 0.156440 | + | 0.0729491i | 0.499261 | − | 0.866451i | \(-0.333605\pi\) |
−0.342821 | + | 0.939401i | \(0.611383\pi\) | |||||||
\(294\) | −2.28026 | − | 4.89002i | −0.132987 | − | 0.285192i | ||||
\(295\) | −11.9892 | − | 24.7072i | −0.698038 | − | 1.43851i | ||||
\(296\) | −3.00471 | − | 5.28883i | −0.174645 | − | 0.307407i | ||||
\(297\) | −12.2471 | + | 12.2471i | −0.710651 | + | 0.710651i | ||||
\(298\) | −0.674933 | + | 1.85436i | −0.0390978 | + | 0.107420i | ||||
\(299\) | 0.963401 | − | 0.350649i | 0.0557149 | − | 0.0202786i | ||||
\(300\) | 2.15572 | + | 1.41227i | 0.124461 | + | 0.0815377i | ||||
\(301\) | −26.9878 | − | 38.5426i | −1.55555 | − | 2.22156i | ||||
\(302\) | 19.5438i | 1.12462i | ||||||||
\(303\) | 1.76012 | − | 1.23245i | 0.101116 | − | 0.0708022i | ||||
\(304\) | 0.466640 | − | 1.74153i | 0.0267637 | − | 0.0998834i | ||||
\(305\) | 14.9434 | + | 6.68918i | 0.855655 | + | 0.383021i | ||||
\(306\) | −4.39219 | + | 7.60750i | −0.251085 | + | 0.434892i | ||||
\(307\) | −1.33245 | + | 4.97277i | −0.0760469 | + | 0.283811i | −0.993469 | − | 0.114105i | \(-0.963600\pi\) |
0.917422 | + | 0.397916i | \(0.130267\pi\) | |||||||
\(308\) | −10.3507 | − | 22.1971i | −0.589785 | − | 1.26480i | ||||
\(309\) | −0.398905 | − | 4.55950i | −0.0226929 | − | 0.259381i | ||||
\(310\) | −4.55749 | − | 0.327883i | −0.258848 | − | 0.0186225i | ||||
\(311\) | 3.19498 | − | 4.56290i | 0.181171 | − | 0.258739i | −0.718287 | − | 0.695747i | \(-0.755073\pi\) |
0.899457 | + | 0.437009i | \(0.143962\pi\) | |||||||
\(312\) | 0.0508499 | + | 0.0356055i | 0.00287881 | + | 0.00201576i | ||||
\(313\) | 6.82741 | − | 5.72888i | 0.385908 | − | 0.323815i | −0.429108 | − | 0.903253i | \(-0.641172\pi\) |
0.815017 | + | 0.579438i | \(0.196728\pi\) | |||||||
\(314\) | 1.80035 | − | 3.86087i | 0.101600 | − | 0.217882i | ||||
\(315\) | −18.3464 | − | 17.7882i | −1.03370 | − | 1.00225i | ||||
\(316\) | −5.14718 | − | 0.450320i | −0.289552 | − | 0.0253325i | ||||
\(317\) | −5.78155 | + | 8.25691i | −0.324724 | + | 0.463754i | −0.948010 | − | 0.318240i | \(-0.896908\pi\) |
0.623286 | + | 0.781994i | \(0.285797\pi\) | |||||||
\(318\) | −0.325224 | − | 1.84444i | −0.0182376 | − | 0.103431i | ||||
\(319\) | 20.5974 | − | 5.51905i | 1.15323 | − | 0.309007i | ||||
\(320\) | 1.14781 | + | 1.91899i | 0.0641646 | + | 0.107275i | ||||
\(321\) | −0.201590 | + | 0.553863i | −0.0112516 | + | 0.0309136i | ||||
\(322\) | 34.3661 | + | 9.20838i | 1.91515 | + | 0.513163i | ||||
\(323\) | −1.49914 | − | 5.59487i | −0.0834144 | − | 0.311307i | ||||
\(324\) | −5.11686 | + | 4.29355i | −0.284270 | + | 0.238531i | ||||
\(325\) | −0.0862001 | + | 0.595980i | −0.00478152 | + | 0.0330590i | ||||
\(326\) | 0.947301 | + | 0.167035i | 0.0524662 | + | 0.00925120i | ||||
\(327\) | 0.796551 | 0.0440494 | ||||||||
\(328\) | −6.41424 | − | 1.13100i | −0.354167 | − | 0.0624492i | ||||
\(329\) | −28.1570 | + | 33.5562i | −1.55234 | + | 1.85001i | ||||
\(330\) | 4.84889 | + | 4.70136i | 0.266923 | + | 0.258801i | ||||
\(331\) | 3.92890 | − | 1.83208i | 0.215952 | − | 0.100700i | −0.311632 | − | 0.950203i | \(-0.600876\pi\) |
0.527584 | + | 0.849503i | \(0.323098\pi\) | |||||||
\(332\) | −4.05545 | − | 4.05545i | −0.222572 | − | 0.222572i | ||||
\(333\) | −10.6023 | − | 12.8151i | −0.581000 | − | 0.702261i | ||||
\(334\) | − | 24.9181i | − | 1.36346i | ||||||
\(335\) | 1.92012 | + | 18.6283i | 0.104908 | + | 1.01777i | ||||
\(336\) | 0.736788 | + | 2.02431i | 0.0401951 | + | 0.110435i | ||||
\(337\) | 0.0562217 | + | 0.642617i | 0.00306259 | + | 0.0350056i | 0.997572 | − | 0.0696395i | \(-0.0221849\pi\) |
−0.994510 | + | 0.104645i | \(0.966629\pi\) | |||||||
\(338\) | 2.25491 | − | 12.7882i | 0.122651 | − | 0.695587i | ||||
\(339\) | −0.361346 | − | 0.361346i | −0.0196256 | − | 0.0196256i | ||||
\(340\) | 6.27595 | + | 3.49530i | 0.340361 | + | 0.189559i | ||||
\(341\) | −11.5666 | − | 3.09925i | −0.626364 | − | 0.167834i | ||||
\(342\) | 0.429669 | − | 4.91114i | 0.0232338 | − | 0.265564i | ||||
\(343\) | 14.0009 | − | 3.75153i | 0.755977 | − | 0.202563i | ||||
\(344\) | 5.62890 | + | 9.74954i | 0.303490 | + | 0.525660i | ||||
\(345\) | −9.75938 | + | 1.00596i | −0.525428 | + | 0.0541588i | ||||
\(346\) | 0.436689 | − | 0.0382053i | 0.0234765 | − | 0.00205393i | ||||
\(347\) | −10.4024 | + | 18.0174i | −0.558428 | + | 0.967226i | 0.439200 | + | 0.898389i | \(0.355262\pi\) |
−0.997628 | + | 0.0688364i | \(0.978071\pi\) | |||||||
\(348\) | −1.84710 | + | 0.325693i | −0.0990147 | + | 0.0174590i | ||||
\(349\) | −23.6280 | + | 4.16625i | −1.26478 | + | 0.223014i | −0.765504 | − | 0.643431i | \(-0.777510\pi\) |
−0.499272 | + | 0.866445i | \(0.666399\pi\) | |||||||
\(350\) | −14.3132 | + | 15.2261i | −0.765074 | + | 0.813868i | ||||
\(351\) | 0.322615 | + | 0.150438i | 0.0172199 | + | 0.00802977i | ||||
\(352\) | 2.00424 | + | 5.50661i | 0.106826 | + | 0.293503i | ||||
\(353\) | −13.0497 | − | 15.5521i | −0.694568 | − | 0.827754i | 0.297332 | − | 0.954774i | \(-0.403903\pi\) |
−0.991900 | + | 0.127021i | \(0.959459\pi\) | |||||||
\(354\) | 1.09924 | + | 6.23410i | 0.0584240 | + | 0.331339i | ||||
\(355\) | −3.80103 | + | 23.6910i | −0.201738 | + | 1.25739i | ||||
\(356\) | 2.80159 | + | 10.4557i | 0.148484 | + | 0.554149i | ||||
\(357\) | 5.30157 | + | 4.44854i | 0.280589 | + | 0.235442i | ||||
\(358\) | 6.46341 | − | 3.01394i | 0.341602 | − | 0.159292i | ||||
\(359\) | −13.7835 | + | 7.95788i | −0.727463 | + | 0.420001i | −0.817493 | − | 0.575938i | \(-0.804637\pi\) |
0.0900303 | + | 0.995939i | \(0.471304\pi\) | |||||||
\(360\) | 4.00198 | + | 4.62245i | 0.210923 | + | 0.243625i | ||||
\(361\) | −10.1235 | − | 12.0647i | −0.532815 | − | 0.634984i | ||||
\(362\) | −2.84682 | − | 4.93083i | −0.149625 | − | 0.259159i | ||||
\(363\) | 6.90010 | + | 9.85436i | 0.362161 | + | 0.517220i | ||||
\(364\) | −0.355930 | + | 0.355930i | −0.0186558 | + | 0.0186558i | ||||
\(365\) | 2.85887 | + | 10.0461i | 0.149640 | + | 0.525837i | ||||
\(366\) | −2.89098 | − | 2.42582i | −0.151114 | − | 0.126800i | ||||
\(367\) | 6.31697 | − | 13.5468i | 0.329743 | − | 0.707136i | −0.669624 | − | 0.742700i | \(-0.733545\pi\) |
0.999367 | + | 0.0355637i | \(0.0113227\pi\) | |||||||
\(368\) | −7.99926 | − | 2.91149i | −0.416990 | − | 0.151772i | ||||
\(369\) | −17.8092 | −0.927112 | ||||||||
\(370\) | −10.3446 | + | 8.83109i | −0.537793 | + | 0.459107i | ||||
\(371\) | 15.1868 | 0.788460 | ||||||||
\(372\) | 0.989728 | + | 0.360231i | 0.0513150 | + | 0.0186771i | ||||
\(373\) | −6.17661 | + | 13.2458i | −0.319813 | + | 0.685840i | −0.998834 | − | 0.0482781i | \(-0.984627\pi\) |
0.679021 | + | 0.734119i | \(0.262404\pi\) | |||||||
\(374\) | 14.4216 | + | 12.1011i | 0.745721 | + | 0.625734i | ||||
\(375\) | 2.19086 | − | 5.32995i | 0.113135 | − | 0.275238i | ||||
\(376\) | 7.41107 | − | 7.41107i | 0.382197 | − | 0.382197i | ||||
\(377\) | −0.251373 | − | 0.358998i | −0.0129464 | − | 0.0184893i | ||||
\(378\) | 6.17652 | + | 10.6980i | 0.317686 | + | 0.550248i | ||||
\(379\) | 5.56450 | + | 6.63151i | 0.285829 | + | 0.340638i | 0.889785 | − | 0.456380i | \(-0.150854\pi\) |
−0.603956 | + | 0.797018i | \(0.706410\pi\) | |||||||
\(380\) | −4.02115 | − | 0.289296i | −0.206281 | − | 0.0148406i | ||||
\(381\) | −5.07002 | + | 2.92718i | −0.259745 | + | 0.149964i | ||||
\(382\) | 15.8484 | − | 7.39023i | 0.810875 | − | 0.378117i | ||||
\(383\) | 4.52795 | + | 3.79940i | 0.231368 | + | 0.194141i | 0.751100 | − | 0.660189i | \(-0.229524\pi\) |
−0.519732 | + | 0.854329i | \(0.673968\pi\) | |||||||
\(384\) | −0.133403 | − | 0.497865i | −0.00680767 | − | 0.0254066i | ||||
\(385\) | −44.3706 | + | 32.1013i | −2.26134 | + | 1.63603i | ||||
\(386\) | −2.08227 | − | 11.8092i | −0.105985 | − | 0.601071i | ||||
\(387\) | 19.7867 | + | 23.5808i | 1.00581 | + | 1.19868i | ||||
\(388\) | 2.63944 | + | 7.25180i | 0.133997 | + | 0.368154i | ||||
\(389\) | −14.2517 | − | 6.64566i | −0.722588 | − | 0.336948i | 0.0262918 | − | 0.999654i | \(-0.491630\pi\) |
−0.748880 | + | 0.662706i | \(0.769408\pi\) | |||||||
\(390\) | 0.0567121 | − | 0.126693i | 0.00287173 | − | 0.00641533i | ||||
\(391\) | −26.9324 | + | 4.74891i | −1.36203 | + | 0.240163i | ||||
\(392\) | −10.3090 | + | 1.81776i | −0.520686 | + | 0.0918109i | ||||
\(393\) | 2.33417 | − | 4.04291i | 0.117743 | − | 0.203938i | ||||
\(394\) | 5.79233 | − | 0.506763i | 0.291813 | − | 0.0255304i | ||||
\(395\) | 1.18460 | + | 11.4925i | 0.0596037 | + | 0.578251i | ||||
\(396\) | 8.01161 | + | 13.8765i | 0.402599 | + | 0.697321i | ||||
\(397\) | 23.8409 | − | 6.38814i | 1.19654 | − | 0.320611i | 0.395071 | − | 0.918650i | \(-0.370720\pi\) |
0.801467 | + | 0.598039i | \(0.204053\pi\) | |||||||
\(398\) | 1.02017 | − | 11.6606i | 0.0511366 | − | 0.584493i | ||||
\(399\) | −3.75164 | − | 1.00525i | −0.187817 | − | 0.0503253i | ||||
\(400\) | 3.72912 | − | 3.33071i | 0.186456 | − | 0.166536i | ||||
\(401\) | −14.2306 | − | 14.2306i | −0.710641 | − | 0.710641i | 0.256028 | − | 0.966669i | \(-0.417586\pi\) |
−0.966669 | + | 0.256028i | \(0.917586\pi\) | |||||||
\(402\) | 0.749586 | − | 4.25111i | 0.0373859 | − | 0.212026i | ||||
\(403\) | 0.0214494 | + | 0.245168i | 0.00106847 | + | 0.0122127i | ||||
\(404\) | −1.42581 | − | 3.91737i | −0.0709365 | − | 0.194896i | ||||
\(405\) | 11.5886 | + | 9.42281i | 0.575841 | + | 0.468223i | ||||
\(406\) | − | 15.2087i | − | 0.754796i | ||||||
\(407\) | −30.9926 | + | 17.6076i | −1.53625 | + | 0.872778i | ||||
\(408\) | −1.17088 | − | 1.17088i | −0.0579673 | − | 0.0579673i | ||||
\(409\) | −4.66030 | + | 2.17313i | −0.230437 | + | 0.107455i | −0.534408 | − | 0.845227i | \(-0.679465\pi\) |
0.303971 | + | 0.952681i | \(0.401688\pi\) | |||||||
\(410\) | 0.224953 | + | 14.5622i | 0.0111096 | + | 0.719176i | ||||
\(411\) | −6.05120 | + | 7.21154i | −0.298484 | + | 0.355719i | ||||
\(412\) | −8.74493 | − | 1.54197i | −0.430832 | − | 0.0759673i | ||||
\(413\) | −51.3307 | −2.52582 | ||||||||
\(414\) | −22.9228 | − | 4.04190i | −1.12659 | − | 0.198649i | ||||
\(415\) | −7.19267 | + | 10.6175i | −0.353074 | + | 0.521195i | ||||
\(416\) | 0.0922595 | − | 0.0774149i | 0.00452340 | − | 0.00379558i | ||||
\(417\) | −0.548773 | − | 2.04805i | −0.0268735 | − | 0.100293i | ||||
\(418\) | −10.2054 | − | 2.73452i | −0.499160 | − | 0.133750i | ||||
\(419\) | −4.08952 | + | 11.2359i | −0.199786 | + | 0.548908i | −0.998613 | − | 0.0526531i | \(-0.983232\pi\) |
0.798827 | + | 0.601561i | \(0.205454\pi\) | |||||||
\(420\) | 4.13394 | − | 2.47264i | 0.201715 | − | 0.120653i | ||||
\(421\) | 8.42718 | − | 2.25806i | 0.410716 | − | 0.110051i | −0.0475442 | − | 0.998869i | \(-0.515140\pi\) |
0.458260 | + | 0.888818i | \(0.348473\pi\) | |||||||
\(422\) | 2.82764 | + | 16.0364i | 0.137648 | + | 0.780638i | ||||
\(423\) | 16.4376 | − | 23.4753i | 0.799224 | − | 1.14141i | ||||
\(424\) | −3.61983 | − | 0.316694i | −0.175794 | − | 0.0153800i | ||||
\(425\) | 5.02505 | − | 15.2569i | 0.243751 | − | 0.740068i | ||||
\(426\) | 2.33740 | − | 5.01258i | 0.113248 | − | 0.242860i | ||||
\(427\) | 23.4422 | − | 19.6704i | 1.13445 | − | 0.951916i | ||||
\(428\) | 0.936727 | + | 0.655904i | 0.0452784 | + | 0.0317043i | ||||
\(429\) | 0.208648 | − | 0.297981i | 0.0100736 | − | 0.0143866i | ||||
\(430\) | 19.0316 | − | 16.4770i | 0.917784 | − | 0.794589i | ||||
\(431\) | −3.12695 | − | 35.7412i | −0.150620 | − | 1.72159i | −0.576742 | − | 0.816927i | \(-0.695676\pi\) |
0.426122 | − | 0.904666i | \(-0.359879\pi\) | |||||||
\(432\) | −1.24911 | − | 2.67872i | −0.0600976 | − | 0.128880i | ||||
\(433\) | 2.98928 | − | 11.1561i | 0.143655 | − | 0.536129i | −0.856156 | − | 0.516717i | \(-0.827154\pi\) |
0.999812 | − | 0.0194122i | \(-0.00617948\pi\) | |||||||
\(434\) | −4.27026 | + | 7.39631i | −0.204979 | + | 0.355034i | ||||
\(435\) | 1.49512 | + | 3.91839i | 0.0716853 | + | 0.187873i | ||||
\(436\) | 0.399983 | − | 1.49276i | 0.0191557 | − | 0.0714901i | ||||
\(437\) | 12.5723 | − | 8.80322i | 0.601415 | − | 0.421115i | ||||
\(438\) | − | 2.40763i | − | 0.115041i | ||||||
\(439\) | −11.2245 | − | 16.0303i | −0.535717 | − | 0.765083i | 0.456484 | − | 0.889732i | \(-0.349108\pi\) |
−0.992201 | + | 0.124649i | \(0.960220\pi\) | |||||||
\(440\) | 11.2453 | − | 6.72619i | 0.536099 | − | 0.320658i | ||||
\(441\) | −26.8970 | + | 9.78972i | −1.28081 | + | 0.466177i | ||||
\(442\) | 0.132333 | − | 0.363582i | 0.00629445 | − | 0.0172939i | ||||
\(443\) | 9.23821 | − | 9.23821i | 0.438921 | − | 0.438921i | −0.452728 | − | 0.891649i | \(-0.649549\pi\) |
0.891649 | + | 0.452728i | \(0.149549\pi\) | |||||||
\(444\) | 2.85062 | − | 1.30523i | 0.135284 | − | 0.0619435i | ||||
\(445\) | 21.7759 | − | 10.5668i | 1.03228 | − | 0.500914i | ||||
\(446\) | 4.29415 | + | 9.20884i | 0.203334 | + | 0.436051i | ||||
\(447\) | −0.921834 | − | 0.429858i | −0.0436012 | − | 0.0203316i | ||||
\(448\) | 4.16358 | − | 0.364266i | 0.196711 | − | 0.0172100i | ||||
\(449\) | −15.3293 | + | 10.7337i | −0.723435 | + | 0.506554i | −0.876344 | − | 0.481686i | \(-0.840025\pi\) |
0.152909 | + | 0.988240i | \(0.451136\pi\) | |||||||
\(450\) | 8.46029 | − | 10.7396i | 0.398822 | − | 0.506267i | ||||
\(451\) | −6.62770 | + | 37.5875i | −0.312086 | + | 1.76993i | ||||
\(452\) | −0.858620 | + | 0.495725i | −0.0403861 | + | 0.0233169i | ||||
\(453\) | −10.0351 | − | 0.877955i | −0.471489 | − | 0.0412499i | ||||
\(454\) | −10.5042 | − | 6.06462i | −0.492988 | − | 0.284627i | ||||
\(455\) | 0.931858 | + | 0.631271i | 0.0436862 | + | 0.0295944i | ||||
\(456\) | 0.873253 | + | 0.317838i | 0.0408938 | + | 0.0148841i | ||||
\(457\) | 12.0868 | − | 14.4045i | 0.565397 | − | 0.673814i | −0.405282 | − | 0.914192i | \(-0.632827\pi\) |
0.970680 | + | 0.240377i | \(0.0772712\pi\) | |||||||
\(458\) | 22.9704 | + | 13.2620i | 1.07334 | + | 0.619692i | ||||
\(459\) | −7.77813 | − | 5.44631i | −0.363052 | − | 0.254212i | ||||
\(460\) | −3.01543 | + | 18.7945i | −0.140595 | + | 0.876297i | ||||
\(461\) | 0.829351 | − | 9.47953i | 0.0386267 | − | 0.441506i | −0.952114 | − | 0.305742i | \(-0.901096\pi\) |
0.990741 | − | 0.135764i | \(-0.0433489\pi\) | |||||||
\(462\) | 11.8625 | − | 4.31758i | 0.551892 | − | 0.200872i | ||||
\(463\) | −1.62388 | + | 0.591045i | −0.0754682 | + | 0.0274682i | −0.379478 | − | 0.925201i | \(-0.623897\pi\) |
0.304010 | + | 0.952669i | \(0.401674\pi\) | |||||||
\(464\) | −0.317151 | + | 3.62505i | −0.0147234 | + | 0.168289i | ||||
\(465\) | 0.373091 | − | 2.32539i | 0.0173017 | − | 0.107837i | ||||
\(466\) | 2.11365 | + | 1.47999i | 0.0979130 | + | 0.0685594i | ||||
\(467\) | −34.1584 | − | 19.7214i | −1.58066 | − | 0.912597i | −0.994762 | − | 0.102215i | \(-0.967407\pi\) |
−0.585902 | − | 0.810382i | \(-0.699260\pi\) | |||||||
\(468\) | 0.211678 | − | 0.252268i | 0.00978483 | − | 0.0116611i | ||||
\(469\) | 32.8921 | + | 11.9717i | 1.51882 | + | 0.552804i | ||||
\(470\) | −19.4029 | − | 13.1441i | −0.894988 | − | 0.606293i | ||||
\(471\) | 1.90155 | + | 1.09786i | 0.0876190 | + | 0.0505868i | ||||
\(472\) | 12.2349 | + | 1.07041i | 0.563155 | + | 0.0492696i | ||||
\(473\) | 57.1324 | − | 32.9854i | 2.62695 | − | 1.51667i | ||||
\(474\) | 0.462449 | − | 2.62268i | 0.0212410 | − | 0.120464i | ||||
\(475\) | 1.06271 | + | 8.95194i | 0.0487604 | + | 0.410743i | ||||
\(476\) | 10.9988 | − | 7.70147i | 0.504131 | − | 0.352996i | ||||
\(477\) | −9.89782 | + | 0.865947i | −0.453190 | + | 0.0396490i | ||||
\(478\) | 3.24440 | + | 1.51289i | 0.148395 | + | 0.0691979i | ||||
\(479\) | 1.20633 | + | 2.58699i | 0.0551188 | + | 0.118203i | 0.931938 | − | 0.362617i | \(-0.118117\pi\) |
−0.876819 | + | 0.480820i | \(0.840339\pi\) | |||||||
\(480\) | −1.03690 | + | 0.503157i | −0.0473278 | + | 0.0229659i | ||||
\(481\) | 0.557908 | + | 0.474784i | 0.0254384 | + | 0.0216483i | ||||
\(482\) | 0.512076 | − | 0.512076i | 0.0233244 | − | 0.0233244i | ||||
\(483\) | −6.27201 | + | 17.2322i | −0.285386 | + | 0.784092i | ||||
\(484\) | 21.9322 | − | 7.98266i | 0.996917 | − | 0.362848i | ||||
\(485\) | 14.8093 | − | 8.85790i | 0.672454 | − | 0.402216i | ||||
\(486\) | −7.06059 | − | 10.0836i | −0.320275 | − | 0.457400i | ||||
\(487\) | − | 27.9379i | − | 1.26599i | −0.774156 | − | 0.632994i | \(-0.781826\pi\) | ||
0.774156 | − | 0.632994i | \(-0.218174\pi\) | |||||||
\(488\) | −5.99773 | + | 4.19966i | −0.271505 | + | 0.190110i | ||||
\(489\) | −0.128322 | + | 0.478904i | −0.00580292 | + | 0.0216568i | ||||
\(490\) | 8.34457 | + | 21.8694i | 0.376969 | + | 0.987960i | ||||
\(491\) | −9.61627 | + | 16.6559i | −0.433976 | + | 0.751668i | −0.997211 | − | 0.0746280i | \(-0.976223\pi\) |
0.563235 | + | 0.826296i | \(0.309556\pi\) | |||||||
\(492\) | 0.868877 | − | 3.24269i | 0.0391720 | − | 0.146192i | ||||
\(493\) | 4.94058 | + | 10.5951i | 0.222512 | + | 0.477179i | ||||
\(494\) | 0.0189252 | + | 0.216316i | 0.000851483 | + | 0.00973249i | ||||
\(495\) | 27.0876 | − | 23.4516i | 1.21750 | − | 1.05407i | ||||
\(496\) | 1.17207 | − | 1.67389i | 0.0526274 | − | 0.0751598i | ||||
\(497\) | 36.7370 | + | 25.7236i | 1.64788 | + | 1.15386i | ||||
\(498\) | 2.26452 | − | 1.90016i | 0.101476 | − | 0.0851481i | ||||
\(499\) | −4.63194 | + | 9.93323i | −0.207354 | + | 0.444673i | −0.982290 | − | 0.187368i | \(-0.940004\pi\) |
0.774936 | + | 0.632040i | \(0.217782\pi\) | |||||||
\(500\) | −8.88835 | − | 6.78213i | −0.397499 | − | 0.303306i | ||||
\(501\) | 12.7946 | + | 1.11938i | 0.571621 | + | 0.0500104i | ||||
\(502\) | −13.1480 | + | 18.7773i | −0.586823 | + | 0.838071i | ||||
\(503\) | 2.53165 | + | 14.3577i | 0.112881 | + | 0.640179i | 0.987778 | + | 0.155870i | \(0.0498179\pi\) |
−0.874897 | + | 0.484309i | \(0.839071\pi\) | |||||||
\(504\) | 11.0387 | − | 2.95781i | 0.491703 | − | 0.131751i | ||||
\(505\) | −7.99985 | + | 4.78497i | −0.355989 | + | 0.212928i | ||||
\(506\) | −17.0614 | + | 46.8758i | −0.758471 | + | 2.08388i | ||||
\(507\) | 6.46503 | + | 1.73230i | 0.287122 | + | 0.0769341i | ||||
\(508\) | 2.93973 | + | 10.9712i | 0.130429 | + | 0.486769i | ||||
\(509\) | 32.7132 | − | 27.4497i | 1.44999 | − | 1.21669i | 0.517401 | − | 0.855743i | \(-0.326900\pi\) |
0.932588 | − | 0.360942i | \(-0.117545\pi\) | |||||||
\(510\) | −2.07665 | + | 3.06548i | −0.0919557 | + | 0.135742i | ||||
\(511\) | 19.2263 | + | 3.39012i | 0.850523 | + | 0.149970i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 5.24794 | + | 0.925353i | 0.231702 | + | 0.0408553i | ||||
\(514\) | 17.5279 | − | 20.8889i | 0.773123 | − | 0.921372i | ||||
\(515\) | 0.306692 | + | 19.8535i | 0.0135145 | + | 0.874852i | ||||
\(516\) | −5.25893 | + | 2.45228i | −0.231511 | + | 0.107956i | ||||
\(517\) | −43.4289 | − | 43.4289i | −1.91000 | − | 1.91000i | ||||
\(518\) | 6.40914 | + | 24.6017i | 0.281602 | + | 1.08094i | ||||
\(519\) | 0.225941i | 0.00991773i | ||||||||
\(520\) | −0.208948 | − | 0.169898i | −0.00916296 | − | 0.00745052i | ||||
\(521\) | −12.9750 | − | 35.6484i | −0.568443 | − | 1.56179i | −0.806935 | − | 0.590641i | \(-0.798875\pi\) |
0.238491 | − | 0.971145i | \(-0.423347\pi\) | |||||||
\(522\) | 0.867196 | + | 9.91210i | 0.0379561 | + | 0.433841i | ||||
\(523\) | 2.32143 | − | 13.1655i | 0.101509 | − | 0.575687i | −0.891048 | − | 0.453909i | \(-0.850029\pi\) |
0.992557 | − | 0.121778i | \(-0.0388597\pi\) | |||||||
\(524\) | −6.40442 | − | 6.40442i | −0.279778 | − | 0.279778i | ||||
\(525\) | −7.17510 | − | 8.03336i | −0.313147 | − | 0.350605i | ||||
\(526\) | −13.4938 | − | 3.61566i | −0.588359 | − | 0.157650i | ||||
\(527\) | 0.572160 | − | 6.53982i | 0.0249237 | − | 0.284879i | ||||
\(528\) | −2.91750 | + | 0.781741i | −0.126968 | + | 0.0340209i | ||||
\(529\) | −24.7325 | − | 42.8380i | −1.07533 | − | 1.86252i | ||||
\(530\) | 0.833087 | + | 8.08228i | 0.0361870 | + | 0.351072i | ||||
\(531\) | 33.4542 | − | 2.92686i | 1.45179 | − | 0.127015i | ||||
\(532\) | −3.76772 | + | 6.52588i | −0.163351 | + | 0.282933i | ||||
\(533\) | 0.772507 | − | 0.136214i | 0.0334610 | − | 0.00590008i | ||||
\(534\) | −5.49449 | + | 0.968827i | −0.237770 | + | 0.0419252i | ||||
\(535\) | 1.04472 | − | 2.33386i | 0.0451671 | − | 0.100902i | ||||
\(536\) | −7.59029 | − | 3.53941i | −0.327851 | − | 0.152879i | ||||
\(537\) | 1.25720 | + | 3.45414i | 0.0542524 | + | 0.149057i | ||||
\(538\) | −2.41297 | − | 2.87567i | −0.104031 | − | 0.123979i | ||||
\(539\) | 10.6521 | + | 60.4111i | 0.458819 | + | 2.60209i | ||||
\(540\) | −5.35458 | + | 3.87394i | −0.230425 | + | 0.166708i | ||||
\(541\) | 2.72667 | + | 10.1761i | 0.117229 | + | 0.437504i | 0.999444 | − | 0.0333424i | \(-0.0106152\pi\) |
−0.882215 | + | 0.470847i | \(0.843949\pi\) | |||||||
\(542\) | 1.52548 | + | 1.28003i | 0.0655251 | + | 0.0549821i | ||||
\(543\) | 2.65971 | − | 1.24024i | 0.114139 | − | 0.0532238i | ||||
\(544\) | −2.78221 | + | 1.60631i | −0.119286 | + | 0.0688700i | ||||
\(545\) | −3.44675 | − | 0.247972i | −0.147642 | − | 0.0106219i | ||||
\(546\) | −0.166769 | − | 0.198748i | −0.00713706 | − | 0.00850561i | ||||
\(547\) | 17.7620 | + | 30.7647i | 0.759450 | + | 1.31541i | 0.943132 | + | 0.332420i | \(0.107865\pi\) |
−0.183682 | + | 0.982986i | \(0.558802\pi\) | |||||||
\(548\) | 10.4760 | + | 14.9613i | 0.447514 | + | 0.639117i | ||||
\(549\) | −14.1566 | + | 14.1566i | −0.604189 | + | 0.604189i | ||||
\(550\) | −19.5180 | − | 21.8527i | −0.832251 | − | 0.931802i | ||||
\(551\) | −5.02585 | − | 4.21719i | −0.214109 | − | 0.179658i | ||||
\(552\) | 1.85430 | − | 3.97656i | 0.0789243 | − | 0.169254i | ||||
\(553\) | 20.2924 | + | 7.38583i | 0.862921 | + | 0.314078i | ||||
\(554\) | 6.51017 | 0.276591 | ||||||||
\(555\) | −4.06977 | − | 5.70835i | −0.172752 | − | 0.242306i | ||||
\(556\) | −4.11366 | −0.174458 | ||||||||
\(557\) | 34.6599 | + | 12.6152i | 1.46859 | + | 0.534522i | 0.947716 | − | 0.319114i | \(-0.103385\pi\) |
0.520870 | + | 0.853636i | \(0.325608\pi\) | |||||||
\(558\) | 2.36136 | − | 5.06395i | 0.0999642 | − | 0.214374i | ||||
\(559\) | −1.03864 | − | 0.871522i | −0.0439298 | − | 0.0368614i | ||||
\(560\) | −2.55797 | − | 8.98873i | −0.108094 | − | 0.379843i | ||||
\(561\) | −6.86138 | + | 6.86138i | −0.289688 | + | 0.289688i | ||||
\(562\) | −14.8902 | − | 21.2654i | −0.628106 | − | 0.897028i | ||||
\(563\) | −6.89828 | − | 11.9482i | −0.290728 | − | 0.503555i | 0.683254 | − | 0.730180i | \(-0.260564\pi\) |
−0.973982 | + | 0.226625i | \(0.927231\pi\) | |||||||
\(564\) | 3.47241 | + | 4.13826i | 0.146215 | + | 0.174252i | ||||
\(565\) | 1.45109 | + | 1.67607i | 0.0610478 | + | 0.0705127i | ||||
\(566\) | 24.3582 | − | 14.0632i | 1.02385 | − | 0.591121i | ||||
\(567\) | 25.3016 | − | 11.7983i | 1.06257 | − | 0.495483i | ||||
\(568\) | −8.21999 | − | 6.89739i | −0.344903 | − | 0.289408i | ||||
\(569\) | 8.14974 | + | 30.4152i | 0.341655 | + | 1.27507i | 0.896472 | + | 0.443101i | \(0.146122\pi\) |
−0.554817 | + | 0.831972i | \(0.687212\pi\) | |||||||
\(570\) | 0.329184 | − | 2.05173i | 0.0137880 | − | 0.0859375i | ||||
\(571\) | −0.398417 | − | 2.25953i | −0.0166732 | − | 0.0945586i | 0.975336 | − | 0.220727i | \(-0.0708431\pi\) |
−0.992009 | + | 0.126169i | \(0.959732\pi\) | |||||||
\(572\) | −0.453652 | − | 0.540642i | −0.0189682 | − | 0.0226054i | ||||
\(573\) | 3.08269 | + | 8.46962i | 0.128781 | + | 0.353823i | ||||
\(574\) | 24.6713 | + | 11.5044i | 1.02976 | + | 0.480185i | ||||
\(575\) | 42.5429 | − | 1.31470i | 1.77416 | − | 0.0548266i | ||||
\(576\) | −2.69279 | + | 0.474812i | −0.112200 | + | 0.0197838i | ||||
\(577\) | 26.6815 | − | 4.70468i | 1.11077 | − | 0.195858i | 0.411984 | − | 0.911191i | \(-0.364836\pi\) |
0.698784 | + | 0.715333i | \(0.253725\pi\) | |||||||
\(578\) | 3.33953 | − | 5.78423i | 0.138906 | − | 0.240592i | ||||
\(579\) | 6.15715 | − | 0.538681i | 0.255883 | − | 0.0223868i | ||||
\(580\) | 8.09394 | − | 0.834288i | 0.336082 | − | 0.0346419i | ||||
\(581\) | 11.9852 | + | 20.7590i | 0.497231 | + | 0.861230i | ||||
\(582\) | −3.84213 | + | 1.02950i | −0.159261 | + | 0.0426740i | ||||
\(583\) | −1.85583 | + | 21.2122i | −0.0768606 | + | 0.878521i | ||||
\(584\) | −4.51197 | − | 1.20898i | −0.186707 | − | 0.0500279i | ||||
\(585\) | −0.643323 | − | 0.358289i | −0.0265981 | − | 0.0148134i | ||||
\(586\) | 2.08925 | + | 2.08925i | 0.0863062 | + | 0.0863062i | ||||
\(587\) | 1.35983 | − | 7.71200i | 0.0561263 | − | 0.318308i | −0.943799 | − | 0.330520i | \(-0.892776\pi\) |
0.999925 | + | 0.0122114i | \(0.00388710\pi\) | |||||||
\(588\) | −0.470253 | − | 5.37501i | −0.0193929 | − | 0.221662i | ||||
\(589\) | 1.26008 | + | 3.46205i | 0.0519209 | + | 0.142651i | ||||
\(590\) | −2.81579 | − | 27.3177i | −0.115924 | − | 1.12465i | ||||
\(591\) | 2.99693i | 0.123277i | ||||||||
\(592\) | −1.01462 | − | 5.99755i | −0.0417005 | − | 0.246498i | ||||
\(593\) | 31.2809 | + | 31.2809i | 1.28455 | + | 1.28455i | 0.938049 | + | 0.346502i | \(0.112631\pi\) |
0.346502 | + | 0.938049i | \(0.387369\pi\) | |||||||
\(594\) | −15.6973 | + | 7.31978i | −0.644068 | + | 0.300334i | ||||
\(595\) | −21.5555 | − | 20.8997i | −0.883689 | − | 0.856803i | ||||
\(596\) | −1.26846 | + | 1.51169i | −0.0519581 | + | 0.0619212i | ||||
\(597\) | 5.94151 | + | 1.04765i | 0.243170 | + | 0.0428774i | ||||
\(598\) | 1.02523 | 0.0419248 | ||||||||
\(599\) | 34.8542 | + | 6.14574i | 1.42410 | + | 0.251108i | 0.832010 | − | 0.554761i | \(-0.187190\pi\) |
0.592094 | + | 0.805869i | \(0.298301\pi\) | |||||||
\(600\) | 1.54269 | + | 2.06440i | 0.0629800 | + | 0.0842790i | ||||
\(601\) | −28.0523 | + | 23.5387i | −1.14428 | + | 0.960164i | −0.999570 | − | 0.0293108i | \(-0.990669\pi\) |
−0.144708 | + | 0.989474i | \(0.546224\pi\) | |||||||
\(602\) | −12.1779 | − | 45.4485i | −0.496334 | − | 1.85234i | ||||
\(603\) | −22.1197 | − | 5.92694i | −0.900782 | − | 0.241364i | ||||
\(604\) | −6.68436 | + | 18.3651i | −0.271983 | + | 0.747266i | ||||
\(605\) | −26.7896 | − | 44.7887i | −1.08915 | − | 1.82092i | ||||
\(606\) | 2.07549 | − | 0.556126i | 0.0843110 | − | 0.0225911i | ||||
\(607\) | 3.25867 | + | 18.4808i | 0.132265 | + | 0.750114i | 0.976725 | + | 0.214495i | \(0.0688106\pi\) |
−0.844460 | + | 0.535619i | \(0.820078\pi\) | |||||||
\(608\) | 1.03414 | − | 1.47690i | 0.0419397 | − | 0.0598961i | ||||
\(609\) | 7.80917 | + | 0.683214i | 0.316443 | + | 0.0276852i | ||||
\(610\) | 11.7543 | + | 11.3967i | 0.475919 | + | 0.461439i | ||||
\(611\) | −0.533459 | + | 1.14401i | −0.0215815 | + | 0.0462816i | ||||
\(612\) | −6.72923 | + | 5.64649i | −0.272013 | + | 0.228246i | ||||
\(613\) | 20.3049 | + | 14.2177i | 0.820108 | + | 0.574246i | 0.906592 | − | 0.422007i | \(-0.138674\pi\) |
−0.0864842 | + | 0.996253i | \(0.527563\pi\) | |||||||
\(614\) | −2.95288 | + | 4.21715i | −0.119168 | + | 0.170190i | ||||
\(615\) | −7.48731 | − | 0.538665i | −0.301918 | − | 0.0217211i | ||||
\(616\) | −2.13460 | − | 24.3986i | −0.0860056 | − | 0.983048i | ||||
\(617\) | 0.979983 | + | 2.10158i | 0.0394526 | + | 0.0846064i | 0.925046 | − | 0.379854i | \(-0.124026\pi\) |
−0.885594 | + | 0.464461i | \(0.846248\pi\) | |||||||
\(618\) | 1.18459 | − | 4.42096i | 0.0476513 | − | 0.177837i | ||||
\(619\) | −20.4695 | + | 35.4541i | −0.822737 | + | 1.42502i | 0.0809002 | + | 0.996722i | \(0.474220\pi\) |
−0.903637 | + | 0.428299i | \(0.859113\pi\) | |||||||
\(620\) | −4.17050 | − | 1.86686i | −0.167491 | − | 0.0749750i | ||||
\(621\) | 6.51196 | − | 24.3030i | 0.261316 | − | 0.975244i | ||||
\(622\) | 4.56290 | − | 3.19498i | 0.182956 | − | 0.128107i | ||||
\(623\) | − | 45.2408i | − | 1.81253i | ||||||
\(624\) | 0.0356055 | + | 0.0508499i | 0.00142536 | + | 0.00203562i | ||||
\(625\) | −11.1393 | + | 22.3812i | −0.445572 | + | 0.895246i | ||||
\(626\) | 8.37506 | − | 3.04827i | 0.334735 | − | 0.121833i | ||||
\(627\) | 1.86253 | − | 5.11727i | 0.0743825 | − | 0.204364i | ||||
\(628\) | 3.01228 | − | 3.01228i | 0.120203 | − | 0.120203i | ||||
\(629\) | −12.4568 | − | 15.0567i | −0.496685 | − | 0.600348i | ||||
\(630\) | −11.1560 | − | 22.9902i | −0.444467 | − | 0.915953i | ||||
\(631\) | −6.90172 | − | 14.8008i | −0.274753 | − | 0.589210i | 0.719713 | − | 0.694272i | \(-0.244274\pi\) |
−0.994466 | + | 0.105062i | \(0.966496\pi\) | |||||||
\(632\) | −4.68275 | − | 2.18360i | −0.186270 | − | 0.0868590i | ||||
\(633\) | −8.36117 | + | 0.731507i | −0.332327 | + | 0.0290748i | ||||
\(634\) | −8.25691 | + | 5.78155i | −0.327924 | + | 0.229615i | ||||
\(635\) | 22.8497 | − | 11.0878i | 0.906762 | − | 0.440007i | ||||
\(636\) | 0.325224 | − | 1.84444i | 0.0128960 | − | 0.0731366i | ||||
\(637\) | 1.09183 | − | 0.630368i | 0.0432599 | − | 0.0249761i | ||||
\(638\) | 21.2428 | + | 1.85851i | 0.841012 | + | 0.0735790i | ||||
\(639\) | −25.4097 | − | 14.6703i | −1.00519 | − | 0.580348i | ||||
\(640\) | 0.422256 | + | 2.19584i | 0.0166911 | + | 0.0867981i | ||||
\(641\) | −13.4246 | − | 4.88615i | −0.530240 | − | 0.192991i | 0.0630057 | − | 0.998013i | \(-0.479931\pi\) |
−0.593245 | + | 0.805022i | \(0.702154\pi\) | |||||||
\(642\) | −0.378865 | + | 0.451514i | −0.0149526 | + | 0.0178198i | ||||
\(643\) | 10.9372 | + | 6.31462i | 0.431323 | + | 0.249024i | 0.699910 | − | 0.714231i | \(-0.253223\pi\) |
−0.268587 | + | 0.963255i | \(0.586557\pi\) | |||||||
\(644\) | 29.1441 | + | 20.4069i | 1.14844 | + | 0.804146i | ||||
\(645\) | 7.60542 | + | 10.5123i | 0.299463 | + | 0.413920i | ||||
\(646\) | 0.504826 | − | 5.77019i | 0.0198621 | − | 0.227025i | ||||
\(647\) | 20.9009 | − | 7.60731i | 0.821699 | − | 0.299074i | 0.103252 | − | 0.994655i | \(-0.467075\pi\) |
0.718448 | + | 0.695581i | \(0.244853\pi\) | |||||||
\(648\) | −6.27675 | + | 2.28455i | −0.246574 | + | 0.0897457i | ||||
\(649\) | 6.27262 | − | 71.6964i | 0.246222 | − | 2.81433i | ||||
\(650\) | −0.284839 | + | 0.530556i | −0.0111723 | + | 0.0208101i | ||||
\(651\) | −3.60593 | − | 2.52490i | −0.141327 | − | 0.0989586i | ||||
\(652\) | 0.833043 | + | 0.480957i | 0.0326245 | + | 0.0188357i | ||||
\(653\) | 1.47155 | − | 1.75373i | 0.0575864 | − | 0.0686287i | −0.736482 | − | 0.676457i | \(-0.763515\pi\) |
0.794069 | + | 0.607828i | \(0.207959\pi\) | |||||||
\(654\) | 0.748513 | + | 0.272437i | 0.0292692 | + | 0.0106531i | ||||
\(655\) | −11.3588 | + | 16.7674i | −0.443823 | + | 0.655155i | ||||
\(656\) | −5.64059 | − | 3.25660i | −0.220228 | − | 0.127149i | ||||
\(657\) | −12.7238 | − | 1.11319i | −0.496404 | − | 0.0434297i | ||||
\(658\) | −37.9358 | + | 21.9022i | −1.47889 | + | 0.853838i | ||||
\(659\) | 7.56560 | − | 42.9067i | 0.294714 | − | 1.67141i | −0.373648 | − | 0.927571i | \(-0.621893\pi\) |
0.668362 | − | 0.743836i | \(-0.266996\pi\) | |||||||
\(660\) | 2.94851 | + | 6.07625i | 0.114770 | + | 0.236518i | ||||
\(661\) | −0.616154 | + | 0.431435i | −0.0239656 | + | 0.0167809i | −0.585498 | − | 0.810674i | \(-0.699101\pi\) |
0.561532 | + | 0.827455i | \(0.310212\pi\) | |||||||
\(662\) | 4.31857 | − | 0.377826i | 0.167846 | − | 0.0146846i | ||||
\(663\) | 0.180743 | + | 0.0842817i | 0.00701947 | + | 0.00327323i | ||||
\(664\) | −2.42383 | − | 5.19792i | −0.0940629 | − | 0.201718i | ||||
\(665\) | 15.9207 | + | 5.51771i | 0.617379 | + | 0.213967i | ||||
\(666\) | −5.57986 | − | 15.6684i | −0.216215 | − | 0.607138i | ||||
\(667\) | −21.9038 | + | 21.9038i | −0.848117 | + | 0.848117i | ||||
\(668\) | 8.52249 | − | 23.4154i | 0.329745 | − | 0.905968i | ||||
\(669\) | −4.92134 | + | 1.79122i | −0.190270 | + | 0.0692526i | ||||
\(670\) | −4.56692 | + | 18.1616i | −0.176436 | + | 0.701643i | ||||
\(671\) | 24.6100 | + | 35.1468i | 0.950060 | + | 1.35683i | ||||
\(672\) | 2.15422i | 0.0831010i | ||||||||
\(673\) | −31.4721 | + | 22.0370i | −1.21316 | + | 0.849465i | −0.992058 | − | 0.125785i | \(-0.959855\pi\) |
−0.221104 | + | 0.975250i | \(0.570966\pi\) | |||||||
\(674\) | −0.166957 | + | 0.623092i | −0.00643094 | + | 0.0240006i | ||||
\(675\) | 10.7675 | + | 10.1220i | 0.414443 | + | 0.389596i | ||||
\(676\) | 6.49275 | − | 11.2458i | 0.249721 | − | 0.432530i | ||||
\(677\) | −10.4726 | + | 39.0843i | −0.402495 | + | 1.50213i | 0.406134 | + | 0.913814i | \(0.366877\pi\) |
−0.808629 | + | 0.588319i | \(0.799790\pi\) | |||||||
\(678\) | −0.215967 | − | 0.463142i | −0.00829415 | − | 0.0177869i | ||||
\(679\) | −2.81112 | − | 32.1312i | −0.107881 | − | 1.23308i | ||||
\(680\) | 4.70200 | + | 5.43101i | 0.180314 | + | 0.208270i | ||||
\(681\) | 3.58586 | − | 5.12114i | 0.137410 | − | 0.196242i | ||||
\(682\) | −9.80900 | − | 6.86834i | −0.375606 | − | 0.263002i | ||||
\(683\) | −21.7289 | + | 18.2327i | −0.831434 | + | 0.697656i | −0.955620 | − | 0.294603i | \(-0.904813\pi\) |
0.124185 | + | 0.992259i | \(0.460368\pi\) | |||||||
\(684\) | 2.08346 | − | 4.46800i | 0.0796632 | − | 0.170838i | ||||
\(685\) | 28.4291 | − | 29.3212i | 1.08622 | − | 1.12031i | ||||
\(686\) | 14.4396 | + | 1.26330i | 0.551308 | + | 0.0482332i | ||||
\(687\) | −7.84147 | + | 11.1988i | −0.299171 | + | 0.427260i | ||||
\(688\) | 1.95490 | + | 11.0868i | 0.0745297 | + | 0.422679i | ||||
\(689\) | 0.422712 | − | 0.113265i | 0.0161041 | − | 0.00431507i | ||||
\(690\) | −9.51488 | − | 2.39262i | −0.362225 | − | 0.0910854i | ||||
\(691\) | −1.48807 | + | 4.08844i | −0.0566088 | + | 0.155531i | −0.964774 | − | 0.263081i | \(-0.915261\pi\) |
0.908165 | + | 0.418613i | \(0.137484\pi\) | |||||||
\(692\) | 0.423420 | + | 0.113455i | 0.0160960 | + | 0.00431292i | ||||
\(693\) | −17.3328 | − | 64.6869i | −0.658419 | − | 2.45725i | ||||
\(694\) | −15.9373 | + | 13.3730i | −0.604973 | + | 0.507633i | ||||
\(695\) | 1.73702 | + | 9.03293i | 0.0658889 | + | 0.342639i | ||||
\(696\) | −1.84710 | − | 0.325693i | −0.0700140 | − | 0.0123454i | ||||
\(697\) | −20.9244 | −0.792569 | ||||||||
\(698\) | −23.6280 | − | 4.16625i | −0.894332 | − | 0.157695i | ||||
\(699\) | −0.854878 | + | 1.01880i | −0.0323345 | + | 0.0385347i | ||||
\(700\) | −18.6577 | + | 9.41242i | −0.705193 | + | 0.355756i | ||||
\(701\) | −28.1367 | + | 13.1204i | −1.06271 | + | 0.495549i | −0.873720 | − | 0.486430i | \(-0.838299\pi\) |
−0.188989 | + | 0.981979i | \(0.560521\pi\) | |||||||
\(702\) | 0.251706 | + | 0.251706i | 0.00950003 | + | 0.00950003i | ||||
\(703\) | 9.90702 | + | 4.70379i | 0.373650 | + | 0.177407i | ||||
\(704\) | 5.86001i | 0.220857i | ||||||||
\(705\) | 7.62070 | − | 9.37226i | 0.287012 | − | 0.352980i | ||||
\(706\) | −6.94362 | − | 19.0774i | −0.261327 | − | 0.717989i | ||||
\(707\) | 1.51854 | + | 17.3570i | 0.0571107 | + | 0.652779i | ||||
\(708\) | −1.09924 | + | 6.23410i | −0.0413120 | + | 0.234292i | ||||
\(709\) | 0.0353863 | + | 0.0353863i | 0.00132896 | + | 0.00132896i | 0.707771 | − | 0.706442i | \(-0.249701\pi\) |
−0.706442 | + | 0.707771i | \(0.749701\pi\) | |||||||
\(710\) | −11.6746 | + | 20.9622i | −0.438140 | + | 0.786698i | ||||
\(711\) | −13.6465 | − | 3.65656i | −0.511783 | − | 0.137132i | ||||
\(712\) | −0.943417 | + | 10.7833i | −0.0353560 | + | 0.404121i | ||||
\(713\) | 16.8023 | − | 4.50217i | 0.629253 | − | 0.168608i | ||||
\(714\) | 3.46035 | + | 5.99351i | 0.129500 | + | 0.224301i | ||||
\(715\) | −0.995604 | + | 1.22444i | −0.0372335 | + | 0.0457913i | ||||
\(716\) | 7.10444 | − | 0.621558i | 0.265506 | − | 0.0232287i | ||||
\(717\) | −0.922565 | + | 1.59793i | −0.0344538 | + | 0.0596758i | ||||
\(718\) | −15.6740 | + | 2.76374i | −0.584947 | + | 0.103142i | ||||
\(719\) | −19.6408 | + | 3.46320i | −0.732478 | + | 0.129156i | −0.527433 | − | 0.849597i | \(-0.676845\pi\) |
−0.205045 | + | 0.978752i | \(0.565734\pi\) | |||||||
\(720\) | 2.17966 | + | 5.71244i | 0.0812311 | + | 0.212890i | ||||
\(721\) | 33.6359 | + | 15.6847i | 1.25267 | + | 0.584128i | ||||
\(722\) | −5.38659 | − | 14.7995i | −0.200468 | − | 0.550782i | ||||
\(723\) | 0.239930 | + | 0.285938i | 0.00892310 | + | 0.0106341i | ||||
\(724\) | −0.988689 | − | 5.60714i | −0.0367444 | − | 0.208388i | ||||
\(725\) | −5.24968 | − | 17.4207i | −0.194968 | − | 0.646988i | ||||
\(726\) | 3.11358 | + | 11.6200i | 0.115556 | + | 0.431260i | ||||
\(727\) | 20.0922 | + | 16.8594i | 0.745179 | + | 0.625279i | 0.934223 | − | 0.356689i | \(-0.116095\pi\) |
−0.189044 | + | 0.981969i | \(0.560539\pi\) | |||||||
\(728\) | −0.456200 | + | 0.212730i | −0.0169079 | + | 0.00788429i | ||||
\(729\) | −11.8593 | + | 6.84698i | −0.439234 | + | 0.253592i | ||||
\(730\) | −0.749513 | + | 10.4180i | −0.0277407 | + | 0.385589i | ||||
\(731\) | 23.2477 | + | 27.7056i | 0.859849 | + | 1.02473i | ||||
\(732\) | −1.88695 | − | 3.26830i | −0.0697437 | − | 0.120800i | ||||
\(733\) | −10.7795 | − | 15.3947i | −0.398149 | − | 0.568615i | 0.569157 | − | 0.822229i | \(-0.307270\pi\) |
−0.967306 | + | 0.253614i | \(0.918381\pi\) | |||||||
\(734\) | 10.5693 | − | 10.5693i | 0.390119 | − | 0.390119i | ||||
\(735\) | −11.6041 | + | 3.30223i | −0.428023 | + | 0.121805i | ||||
\(736\) | −6.52106 | − | 5.47182i | −0.240369 | − | 0.201694i | ||||
\(737\) | −20.7410 | + | 44.4792i | −0.764004 | + | 1.63841i | ||||
\(738\) | −16.7352 | − | 6.09112i | −0.616032 | − | 0.224217i | ||||
\(739\) | −2.98215 | −0.109700 | −0.0548501 | − | 0.998495i | \(-0.517468\pi\) | ||||
−0.0548501 | + | 0.998495i | \(0.517468\pi\) | |||||||
\(740\) | −12.7412 | + | 4.76044i | −0.468376 | + | 0.174997i | ||||
\(741\) | −0.111921 | −0.00411152 | ||||||||
\(742\) | 14.2709 | + | 5.19419i | 0.523902 | + | 0.190685i | ||||
\(743\) | −16.8005 | + | 36.0287i | −0.616349 | + | 1.32176i | 0.312010 | + | 0.950079i | \(0.398998\pi\) |
−0.928359 | + | 0.371686i | \(0.878780\pi\) | |||||||
\(744\) | 0.806833 | + | 0.677014i | 0.0295799 | + | 0.0248205i | ||||
\(745\) | 3.85504 | + | 2.14701i | 0.141238 | + | 0.0786603i | ||||
\(746\) | −10.3344 | + | 10.3344i | −0.378371 | + | 0.378371i | ||||
\(747\) | −8.99491 | − | 12.8461i | −0.329107 | − | 0.470013i | ||||
\(748\) | 9.41300 | + | 16.3038i | 0.344173 | + | 0.596126i | ||||
\(749\) | −3.07212 | − | 3.66122i | −0.112253 | − | 0.133778i | ||||
\(750\) | 3.88169 | − | 4.25920i | 0.141739 | − | 0.155524i | ||||
\(751\) | 15.5748 | − | 8.99213i | 0.568334 | − | 0.328128i | −0.188150 | − | 0.982140i | \(-0.560249\pi\) |
0.756483 | + | 0.654013i | \(0.226916\pi\) | |||||||
\(752\) | 9.49886 | − | 4.42939i | 0.346388 | − | 0.161523i | ||||
\(753\) | −9.05086 | − | 7.59458i | −0.329832 | − | 0.276762i | ||||
\(754\) | −0.113429 | − | 0.423322i | −0.00413083 | − | 0.0154165i | ||||
\(755\) | 43.1493 | + | 6.92297i | 1.57036 | + | 0.251953i | ||||
\(756\) | 2.14508 | + | 12.1654i | 0.0780159 | + | 0.442450i | ||||
\(757\) | −1.74737 | − | 2.08243i | −0.0635091 | − | 0.0756872i | 0.733355 | − | 0.679846i | \(-0.237954\pi\) |
−0.796864 | + | 0.604159i | \(0.793509\pi\) | |||||||
\(758\) | 2.96081 | + | 8.13475i | 0.107541 | + | 0.295467i | ||||
\(759\) | −23.3027 | − | 10.8662i | −0.845835 | − | 0.394419i | ||||
\(760\) | −3.67970 | − | 1.64716i | −0.133477 | − | 0.0597489i | ||||
\(761\) | 28.3640 | − | 5.00133i | 1.02819 | − | 0.181298i | 0.365987 | − | 0.930620i | \(-0.380732\pi\) |
0.662206 | + | 0.749322i | \(0.269620\pi\) | |||||||
\(762\) | −5.76542 | + | 1.01660i | −0.208859 | + | 0.0368275i | ||||
\(763\) | −3.22952 | + | 5.59369i | −0.116917 | + | 0.202505i | ||||
\(764\) | 17.4202 | − | 1.52407i | 0.630242 | − | 0.0551390i | ||||
\(765\) | 15.2402 | + | 12.3920i | 0.551012 | + | 0.448034i | ||||
\(766\) | 2.95541 | + | 5.11892i | 0.106783 | + | 0.184954i | ||||
\(767\) | −1.42875 | + | 0.382832i | −0.0515891 | + | 0.0138233i | ||||
\(768\) | 0.0449225 | − | 0.513467i | 0.00162100 | − | 0.0185281i | ||||
\(769\) | −3.59012 | − | 0.961971i | −0.129463 | − | 0.0346896i | 0.193506 | − | 0.981099i | \(-0.438014\pi\) |
−0.322969 | + | 0.946410i | \(0.604681\pi\) | |||||||
\(770\) | −52.6740 | + | 14.9897i | −1.89824 | + | 0.540192i | ||||
\(771\) | 9.93838 | + | 9.93838i | 0.357922 | + | 0.357922i | ||||
\(772\) | 2.08227 | − | 11.8092i | 0.0749427 | − | 0.425021i | ||||
\(773\) | −1.73250 | − | 19.8026i | −0.0623137 | − | 0.712249i | −0.961522 | − | 0.274728i | \(-0.911412\pi\) |
0.899208 | − | 0.437521i | \(-0.144143\pi\) | |||||||
\(774\) | 10.5283 | + | 28.9262i | 0.378431 | + | 1.03973i | ||||
\(775\) | −2.33831 | + | 9.94603i | −0.0839945 | + | 0.357272i | ||||
\(776\) | 7.71721i | 0.277032i | ||||||||
\(777\) | −12.9201 | + | 2.18571i | −0.463504 | + | 0.0784120i | ||||
\(778\) | −11.1192 | − | 11.1192i | −0.398644 | − | 0.398644i | ||||
\(779\) | 10.6428 | − | 4.96282i | 0.381318 | − | 0.177811i | ||||
\(780\) | 0.0966234 | − | 0.0996555i | 0.00345967 | − | 0.00356824i | ||||
\(781\) | −40.4188 | + | 48.1692i | −1.44630 | + | 1.72363i | ||||
\(782\) | −26.9324 | − | 4.74891i | −0.963101 | − | 0.169821i | ||||
\(783\) | −10.7553 | −0.384362 | ||||||||
\(784\) | −10.3090 | − | 1.81776i | −0.368180 | − | 0.0649201i | ||||
\(785\) | −7.88642 | − | 5.34252i | −0.281478 | − | 0.190683i | ||||
\(786\) | 3.57616 | − | 3.00075i | 0.127557 | − | 0.107033i | ||||
\(787\) | 3.96017 | + | 14.7796i | 0.141165 | + | 0.526835i | 0.999896 | + | 0.0144086i | \(0.00458655\pi\) |
−0.858731 | + | 0.512426i | \(0.828747\pi\) | |||||||
\(788\) | 5.61633 | + | 1.50489i | 0.200074 | + | 0.0536096i | ||||
\(789\) | 2.46270 | − | 6.76621i | 0.0876744 | − | 0.240883i | ||||
\(790\) | −2.81751 | + | 11.2046i | −0.100243 | + | 0.398641i | ||||
\(791\) | 4.00255 | − | 1.07248i | 0.142314 | − | 0.0381330i | ||||
\(792\) | 2.78240 | + | 15.7798i | 0.0988684 | + | 0.560711i | ||||
\(793\) | 0.505791 | − | 0.722344i | 0.0179612 | − | 0.0256512i | ||||
\(794\) | 24.5879 | + | 2.15117i | 0.872594 | + | 0.0763420i | ||||
\(795\) | −4.18741 | + | 0.0646860i | −0.148512 | + | 0.00229417i | ||||
\(796\) | 4.94681 | − | 10.6085i | 0.175335 | − | 0.376007i | ||||
\(797\) | −8.05769 | + | 6.76120i | −0.285418 | + | 0.239494i | −0.774244 | − | 0.632887i | \(-0.781870\pi\) |
0.488826 | + | 0.872381i | \(0.337425\pi\) | |||||||
\(798\) | −3.18157 | − | 2.22776i | −0.112626 | − | 0.0788618i | ||||
\(799\) | 19.3129 | − | 27.5816i | 0.683240 | − | 0.975768i | ||||
\(800\) | 4.64340 | − | 1.85441i | 0.164169 | − | 0.0655633i | ||||
\(801\) | 2.57962 | + | 29.4852i | 0.0911463 | + | 1.04181i | ||||
\(802\) | −8.50522 | − | 18.2395i | −0.300330 | − | 0.644059i | ||||
\(803\) | −7.08463 | + | 26.4402i | −0.250011 | + | 0.933054i | ||||
\(804\) | 2.15835 | − | 3.73836i | 0.0761190 | − | 0.131842i | ||||
\(805\) | 32.5040 | − | 72.6127i | 1.14562 | − | 2.55926i | ||||
\(806\) | −0.0636965 | + | 0.237718i | −0.00224361 | + | 0.00837327i | ||||
\(807\) | 1.58496 | − | 1.10980i | 0.0557931 | − | 0.0390667i | ||||
\(808\) | − | 4.16878i | − | 0.146657i | ||||||
\(809\) | 13.6434 | + | 19.4848i | 0.479677 | + | 0.685050i | 0.983940 | − | 0.178500i | \(-0.0571246\pi\) |
−0.504263 | + | 0.863550i | \(0.668236\pi\) | |||||||
\(810\) | 7.66690 | + | 12.8181i | 0.269387 | + | 0.450381i | ||||
\(811\) | 4.67860 | − | 1.70287i | 0.164288 | − | 0.0597959i | −0.258567 | − | 0.965993i | \(-0.583250\pi\) |
0.422855 | + | 0.906197i | \(0.361028\pi\) | |||||||
\(812\) | 5.20168 | − | 14.2915i | 0.182543 | − | 0.501534i | ||||
\(813\) | −0.725782 | + | 0.725782i | −0.0254543 | + | 0.0254543i | ||||
\(814\) | −35.1457 | + | 5.94567i | −1.23186 | + | 0.208396i | ||||
\(815\) | 0.704347 | − | 2.03231i | 0.0246722 | − | 0.0711888i | ||||
\(816\) | −0.699803 | − | 1.50073i | −0.0244980 | − | 0.0525362i | ||||
\(817\) | −18.3957 | − | 8.57804i | −0.643583 | − | 0.300108i | ||||
\(818\) | −5.12251 | + | 0.448161i | −0.179104 | + | 0.0156696i | ||||
\(819\) | −1.12745 | + | 0.789447i | −0.0393962 | + | 0.0275855i | ||||
\(820\) | −4.76918 | + | 13.7609i | −0.166547 | + | 0.480553i | ||||
\(821\) | 7.84053 | − | 44.4658i | 0.273636 | − | 1.55187i | −0.469624 | − | 0.882866i | \(-0.655611\pi\) |
0.743261 | − | 0.669002i | \(-0.233278\pi\) | |||||||
\(822\) | −8.15276 | + | 4.70700i | −0.284360 | + | 0.164175i | ||||
\(823\) | 27.5191 | + | 2.40761i | 0.959256 | + | 0.0839240i | 0.556017 | − | 0.831171i | \(-0.312329\pi\) |
0.403239 | + | 0.915095i | \(0.367884\pi\) | |||||||
\(824\) | −7.69016 | − | 4.43992i | −0.267900 | − | 0.154672i | ||||
\(825\) | 12.0974 | − | 9.04017i | 0.421179 | − | 0.314738i | ||||
\(826\) | −48.2351 | − | 17.5561i | −1.67831 | − | 0.610856i | ||||
\(827\) | 1.11537 | − | 1.32925i | 0.0387853 | − | 0.0462225i | −0.746303 | − | 0.665606i | \(-0.768173\pi\) |
0.785088 | + | 0.619384i | \(0.212617\pi\) | |||||||
\(828\) | −20.1579 | − | 11.6382i | −0.700537 | − | 0.404455i | ||||
\(829\) | −23.9472 | − | 16.7680i | −0.831720 | − | 0.582377i | 0.0783050 | − | 0.996929i | \(-0.475049\pi\) |
−0.910025 | + | 0.414553i | \(0.863938\pi\) | |||||||
\(830\) | −10.3903 | + | 7.51719i | −0.360653 | + | 0.260925i | ||||
\(831\) | −0.292453 | + | 3.34276i | −0.0101451 | + | 0.115959i | ||||
\(832\) | 0.113173 | − | 0.0411916i | 0.00392357 | − | 0.00142806i | ||||
\(833\) | −31.6019 | + | 11.5021i | −1.09494 | + | 0.398525i | ||||
\(834\) | 0.184796 | − | 2.11223i | 0.00639897 | − | 0.0731405i | ||||
\(835\) | −55.0150 | − | 8.82673i | −1.90387 | − | 0.305461i | ||||
\(836\) | −8.65464 | − | 6.06005i | −0.299327 | − | 0.209591i | ||||
\(837\) | 5.23050 | + | 3.01983i | 0.180793 | + | 0.104381i | ||||
\(838\) | −7.68579 | + | 9.15957i | −0.265501 | + | 0.316412i | ||||
\(839\) | 51.6994 | + | 18.8170i | 1.78486 | + | 0.649637i | 0.999533 | + | 0.0305581i | \(0.00972846\pi\) |
0.785329 | + | 0.619079i | \(0.212494\pi\) | |||||||
\(840\) | 4.73032 | − | 0.909634i | 0.163212 | − | 0.0313854i | ||||
\(841\) | −13.6472 | − | 7.87922i | −0.470593 | − | 0.271697i | ||||
\(842\) | 8.69126 | + | 0.760387i | 0.299521 | + | 0.0262047i | ||||
\(843\) | 11.5880 | − | 6.69033i | 0.399112 | − | 0.230427i | ||||
\(844\) | −2.82764 | + | 16.0364i | −0.0973315 | + | 0.551995i | ||||
\(845\) | −27.4355 | − | 9.50842i | −0.943809 | − | 0.327100i | ||||
\(846\) | 23.4753 | − | 16.4376i | 0.807099 | − | 0.565137i | ||||
\(847\) | −97.1768 | + | 8.50187i | −3.33903 | + | 0.292128i | ||||
\(848\) | −3.29321 | − | 1.53565i | −0.113089 | − | 0.0527344i | ||||
\(849\) | 6.12676 | + | 13.1389i | 0.210270 | + | 0.450925i | ||||
\(850\) | 9.94016 | − | 12.6181i | 0.340945 | − | 0.432798i | ||||
\(851\) | 26.2011 | − | 44.6622i | 0.898162 | − | 1.53100i | ||||
\(852\) | 3.91084 | − | 3.91084i | 0.133983 | − | 0.133983i | ||||
\(853\) | 3.64178 | − | 10.0057i | 0.124692 | − | 0.342589i | −0.861602 | − | 0.507584i | \(-0.830539\pi\) |
0.986294 | + | 0.164995i | \(0.0527609\pi\) | |||||||
\(854\) | 28.7562 | − | 10.4664i | 0.984016 | − | 0.358152i | ||||
\(855\) | −10.6908 | − | 2.68831i | −0.365616 | − | 0.0919381i | ||||
\(856\) | 0.655904 | + | 0.936727i | 0.0224183 | + | 0.0320167i | ||||
\(857\) | − | 2.93877i | − | 0.100386i | −0.998740 | − | 0.0501932i | \(-0.984016\pi\) | ||
0.998740 | − | 0.0501932i | \(-0.0159837\pi\) | |||||||
\(858\) | 0.297981 | − | 0.208648i | 0.0101729 | − | 0.00712314i | ||||
\(859\) | −2.86608 | + | 10.6964i | −0.0977895 | + | 0.364955i | −0.997428 | − | 0.0716810i | \(-0.977164\pi\) |
0.899638 | + | 0.436636i | \(0.143830\pi\) | |||||||
\(860\) | 23.5193 | − | 8.97409i | 0.802000 | − | 0.306014i | ||||
\(861\) | −7.01544 | + | 12.1511i | −0.239085 | + | 0.414108i | ||||
\(862\) | 9.28583 | − | 34.6552i | 0.316277 | − | 1.18036i | ||||
\(863\) | 3.15451 | + | 6.76487i | 0.107381 | + | 0.230279i | 0.952655 | − | 0.304055i | \(-0.0983405\pi\) |
−0.845274 | + | 0.534333i | \(0.820563\pi\) | |||||||
\(864\) | −0.257601 | − | 2.94439i | −0.00876375 | − | 0.100170i | ||||
\(865\) | 0.0703371 | − | 0.977669i | 0.00239153 | − | 0.0332417i | ||||
\(866\) | 6.62462 | − | 9.46094i | 0.225114 | − | 0.321496i | ||||
\(867\) | 2.81999 | + | 1.97458i | 0.0957719 | + | 0.0670602i | ||||
\(868\) | −6.54242 | + | 5.48974i | −0.222064 | + | 0.186334i | ||||
\(869\) | −12.7959 | + | 27.4410i | −0.434072 | + | 0.930871i | ||||
\(870\) | 0.0647792 | + | 4.19345i | 0.00219622 | + | 0.142171i | ||||
\(871\) | 1.00481 | + | 0.0879096i | 0.0340467 | + | 0.00297870i | ||||
\(872\) | 0.886414 | − | 1.26593i | 0.0300178 | − | 0.0428698i | ||||
\(873\) | 3.66422 | + | 20.7808i | 0.124015 | + | 0.703325i | ||||
\(874\) | 14.8250 | − | 3.97234i | 0.501462 | − | 0.134366i | ||||
\(875\) | 28.5465 | + | 36.9947i | 0.965046 | + | 1.25065i | ||||
\(876\) | 0.823459 | − | 2.26244i | 0.0278221 | − | 0.0764406i | ||||
\(877\) | −27.1458 | − | 7.27368i | −0.916647 | − | 0.245615i | −0.230495 | − | 0.973073i | \(-0.574035\pi\) |
−0.686152 | + | 0.727459i | \(0.740701\pi\) | |||||||
\(878\) | −5.06492 | − | 18.9025i | −0.170933 | − | 0.637929i | ||||
\(879\) | −1.16662 | + | 0.978907i | −0.0393490 | + | 0.0330177i | ||||
\(880\) | 12.8676 | − | 2.47443i | 0.433768 | − | 0.0834129i | ||||
\(881\) | 14.8951 | + | 2.62641i | 0.501829 | + | 0.0884861i | 0.418832 | − | 0.908064i | \(-0.362440\pi\) |
0.0829973 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(882\) | −28.6232 | −0.963794 | ||||||||
\(883\) | 16.6880 | + | 2.94254i | 0.561596 | + | 0.0990244i | 0.447238 | − | 0.894415i | \(-0.352408\pi\) |
0.114358 | + | 0.993440i | \(0.463519\pi\) | |||||||
\(884\) | 0.248705 | − | 0.296395i | 0.00836485 | − | 0.00996884i | ||||
\(885\) | 14.1532 | − | 0.218635i | 0.475756 | − | 0.00734935i | ||||
\(886\) | 11.8407 | − | 5.52142i | 0.397797 | − | 0.185496i | ||||
\(887\) | −6.24925 | − | 6.24925i | −0.209829 | − | 0.209829i | 0.594366 | − | 0.804195i | \(-0.297403\pi\) |
−0.804195 | + | 0.594366i | \(0.797403\pi\) | |||||||
\(888\) | 3.12512 | − | 0.251547i | 0.104872 | − | 0.00844138i | ||||
\(889\) | − | 47.4716i | − | 1.59215i | ||||||
\(890\) | 24.0767 | − | 2.48173i | 0.807054 | − | 0.0831877i | ||||
\(891\) | 13.3875 | + | 36.7819i | 0.448498 | + | 1.23224i | ||||
\(892\) | 0.885575 | + | 10.1222i | 0.0296512 | + | 0.338915i | ||||
\(893\) | −3.28135 | + | 18.6094i | −0.109806 | + | 0.622741i | ||||
\(894\) | −0.719220 | − | 0.719220i | −0.0240543 | − | 0.0240543i | ||||
\(895\) | −4.36474 | − | 15.3377i | −0.145897 | − | 0.512684i | ||||
\(896\) | 4.03707 | + | 1.08173i | 0.134869 | + | 0.0361381i | ||||
\(897\) | −0.0460559 | + | 0.526422i | −0.00153776 | + | 0.0175767i | ||||
\(898\) | −18.0760 | + | 4.84344i | −0.603203 | + | 0.161628i | ||||
\(899\) | −3.71793 | − | 6.43965i | −0.124000 | − | 0.214774i | ||||
\(900\) | 11.6232 | − | 7.19829i | 0.387441 | − | 0.239943i | ||||
\(901\) | −11.6291 | + | 1.01742i | −0.387423 | + | 0.0338951i | ||||
\(902\) | −19.0837 | + | 33.0539i | −0.635417 | + | 1.10058i | ||||
\(903\) | 23.8834 | − | 4.21128i | 0.794789 | − | 0.140143i | ||||
\(904\) | −0.976387 | + | 0.172163i | −0.0324742 | + | 0.00572607i | ||||
\(905\) | −11.8949 | + | 4.53865i | −0.395399 | + | 0.150870i | ||||
\(906\) | −9.12960 | − | 4.25720i | −0.303311 | − | 0.141436i | ||||
\(907\) | −15.2257 | − | 41.8321i | −0.505560 | − | 1.38901i | −0.885775 | − | 0.464116i | \(-0.846372\pi\) |
0.380215 | − | 0.924898i | \(-0.375850\pi\) | |||||||
\(908\) | −7.79653 | − | 9.29154i | −0.258737 | − | 0.308351i | ||||
\(909\) | −1.97939 | − | 11.2257i | −0.0656521 | − | 0.372332i | ||||
\(910\) | 0.659753 | + | 0.911915i | 0.0218706 | + | 0.0302297i | ||||
\(911\) | 9.02197 | + | 33.6704i | 0.298911 | + | 1.11555i | 0.938061 | + | 0.346470i | \(0.112620\pi\) |
−0.639150 | + | 0.769082i | \(0.720714\pi\) | |||||||
\(912\) | 0.711882 | + | 0.597340i | 0.0235728 | + | 0.0197799i | ||||
\(913\) | −30.4599 | + | 14.2037i | −1.00807 | + | 0.470073i | ||||
\(914\) | 16.2845 | − | 9.40187i | 0.538644 | − | 0.310986i | ||||
\(915\) | −6.37987 | + | 5.52349i | −0.210912 | + | 0.182601i | ||||
\(916\) | 17.0493 | + | 20.3185i | 0.563324 | + | 0.671343i | ||||
\(917\) | 18.9272 | + | 32.7830i | 0.625033 | + | 1.08259i | ||||
\(918\) | −5.44631 | − | 7.77813i | −0.179755 | − | 0.256717i | ||||
\(919\) | −2.58829 | + | 2.58829i | −0.0853798 | + | 0.0853798i | −0.748507 | − | 0.663127i | \(-0.769229\pi\) |
0.663127 | + | 0.748507i | \(0.269229\pi\) | |||||||
\(920\) | −9.26166 | + | 16.6297i | −0.305348 | + | 0.548265i | ||||
\(921\) | −2.03271 | − | 1.70565i | −0.0669802 | − | 0.0562031i | ||||
\(922\) | 4.02153 | − | 8.62419i | 0.132442 | − | 0.284023i | ||||
\(923\) | 1.21440 | + | 0.442004i | 0.0399723 | + | 0.0145487i | ||||
\(924\) | 12.6238 | 0.415292 | ||||||||
\(925\) | 15.8332 | + | 25.9675i | 0.520592 | + | 0.853806i | ||||
\(926\) | −1.72810 | −0.0567889 | ||||||||
\(927\) | −22.8161 | − | 8.30440i | −0.749381 | − | 0.272752i | ||||
\(928\) | −1.53786 | + | 3.29796i | −0.0504829 | + | 0.108261i | ||||
\(929\) | −32.2196 | − | 27.0354i | −1.05709 | − | 0.887003i | −0.0632681 | − | 0.997997i | \(-0.520152\pi\) |
−0.993821 | + | 0.110993i | \(0.964597\pi\) | |||||||
\(930\) | 1.14592 | − | 2.05755i | 0.0375762 | − | 0.0674697i | ||||
\(931\) | 13.3456 | − | 13.3456i | 0.437385 | − | 0.437385i | ||||
\(932\) | 1.47999 | + | 2.11365i | 0.0484788 | + | 0.0692349i | ||||
\(933\) | 1.43554 | + | 2.48643i | 0.0469974 | + | 0.0814019i | ||||
\(934\) | −25.3533 | − | 30.2149i | −0.829586 | − | 0.988662i | ||||
\(935\) | 31.8258 | − | 27.5538i | 1.04081 | − | 0.901105i | ||||
\(936\) | 0.285193 | − | 0.164656i | 0.00932184 | − | 0.00538197i | ||||
\(937\) | 8.16977 | − | 3.80963i | 0.266895 | − | 0.124455i | −0.284564 | − | 0.958657i | \(-0.591849\pi\) |
0.551459 | + | 0.834202i | \(0.314071\pi\) | |||||||
\(938\) | 26.8139 | + | 22.4995i | 0.875504 | + | 0.734635i | ||||
\(939\) | 1.18896 | + | 4.43725i | 0.0388002 | + | 0.144804i | ||||
\(940\) | −13.7372 | − | 18.9876i | −0.448057 | − | 0.619308i | ||||
\(941\) | 0.954108 | + | 5.41102i | 0.0311030 | + | 0.176394i | 0.996402 | − | 0.0847533i | \(-0.0270102\pi\) |
−0.965299 | + | 0.261147i | \(0.915899\pi\) | |||||||
\(942\) | 1.41138 | + | 1.68202i | 0.0459854 | + | 0.0548033i | ||||
\(943\) | −18.9631 | − | 52.1007i | −0.617524 | − | 1.69663i | ||||
\(944\) | 11.1309 | + | 5.19042i | 0.362280 | + | 0.168934i | ||||
\(945\) | 25.8074 | − | 9.84715i | 0.839514 | − | 0.320328i | ||||
\(946\) | 64.9686 | − | 11.4557i | 2.11231 | − | 0.372457i | ||||
\(947\) | −10.2946 | + | 1.81522i | −0.334529 | + | 0.0589866i | −0.338390 | − | 0.941006i | \(-0.609882\pi\) |
0.00386046 | + | 0.999993i | \(0.498771\pi\) | |||||||
\(948\) | 1.33157 | − | 2.30634i | 0.0432473 | − | 0.0749065i | ||||
\(949\) | 0.560433 | − | 0.0490315i | 0.0181924 | − | 0.00159163i | ||||
\(950\) | −2.06313 | + | 8.77554i | −0.0669367 | + | 0.284716i | ||||
\(951\) | −2.59771 | − | 4.49937i | −0.0842366 | − | 0.145902i | ||||
\(952\) | 12.9696 | − | 3.47519i | 0.420347 | − | 0.112632i | ||||
\(953\) | −0.762309 | + | 8.71323i | −0.0246936 | + | 0.282249i | 0.973801 | + | 0.227401i | \(0.0730229\pi\) |
−0.998495 | + | 0.0548478i | \(0.982533\pi\) | |||||||
\(954\) | −9.59708 | − | 2.57153i | −0.310717 | − | 0.0832564i | ||||
\(955\) | −10.7024 | − | 37.6084i | −0.346322 | − | 1.21698i | ||||
\(956\) | 2.53130 | + | 2.53130i | 0.0818681 | + | 0.0818681i | ||||
\(957\) | −1.90856 | + | 10.8240i | −0.0616951 | + | 0.349890i | ||||
\(958\) | 0.248780 | + | 2.84357i | 0.00803771 | + | 0.0918715i | ||||
\(959\) | −26.1084 | − | 71.7322i | −0.843084 | − | 2.31635i | ||||
\(960\) | −1.14646 | + | 0.118172i | −0.0370018 | + | 0.00381398i | ||||
\(961\) | − | 26.8244i | − | 0.865302i | ||||||
\(962\) | 0.361876 | + | 0.636967i | 0.0116674 | + | 0.0205366i | ||||
\(963\) | 2.21098 | + | 2.21098i | 0.0712479 | + | 0.0712479i | ||||
\(964\) | 0.656334 | − | 0.306053i | 0.0211391 | − | 0.00985732i | ||||
\(965\) | −26.8103 | + | 0.414158i | −0.863053 | + | 0.0133322i | ||||
\(966\) | −11.7875 | + | 14.0478i | −0.379257 | + | 0.451981i | ||||
\(967\) | 23.3356 | + | 4.11469i | 0.750422 | + | 0.132320i | 0.535762 | − | 0.844369i | \(-0.320025\pi\) |
0.214660 | + | 0.976689i | \(0.431136\pi\) | |||||||
\(968\) | 23.3397 | 0.750167 | ||||||||
\(969\) | 2.94012 | + | 0.518423i | 0.0944504 | + | 0.0166541i | ||||
\(970\) | 16.9457 | − | 3.25864i | 0.544094 | − | 0.104629i | ||||
\(971\) | −28.1301 | + | 23.6039i | −0.902737 | + | 0.757487i | −0.970724 | − | 0.240200i | \(-0.922787\pi\) |
0.0679861 | + | 0.997686i | \(0.478343\pi\) | |||||||
\(972\) | −3.18600 | − | 11.8903i | −0.102191 | − | 0.381382i | ||||
\(973\) | 16.6071 | + | 4.44987i | 0.532401 | + | 0.142656i | ||||
\(974\) | 9.55534 | − | 26.2531i | 0.306173 | − | 0.841203i | ||||
\(975\) | −0.259627 | − | 0.170089i | −0.00831472 | − | 0.00544721i | ||||
\(976\) | −7.07239 | + | 1.89504i | −0.226382 | + | 0.0606588i | ||||
\(977\) | 3.00640 | + | 17.0502i | 0.0961834 | + | 0.545483i | 0.994378 | + | 0.105886i | \(0.0337678\pi\) |
−0.898195 | + | 0.439597i | \(0.855121\pi\) | |||||||
\(978\) | −0.284378 | + | 0.406134i | −0.00909341 | + | 0.0129867i | ||||
\(979\) | 63.1903 | + | 5.52843i | 2.01957 | + | 0.176690i | ||||
\(980\) | 0.361547 | + | 23.4046i | 0.0115492 | + | 0.747631i | ||||
\(981\) | 1.78585 | − | 3.82977i | 0.0570178 | − | 0.122275i | ||||
\(982\) | −14.7330 | + | 12.3624i | −0.470148 | + | 0.394501i | ||||
\(983\) | 29.3131 | + | 20.5253i | 0.934944 | + | 0.654655i | 0.938478 | − | 0.345339i | \(-0.112236\pi\) |
−0.00353406 | + | 0.999994i | \(0.501125\pi\) | |||||||
\(984\) | 1.92554 | − | 2.74996i | 0.0613841 | − | 0.0876656i | ||||
\(985\) | 0.932966 | − | 12.9680i | 0.0297268 | − | 0.413195i | ||||
\(986\) | 1.01889 | + | 11.6459i | 0.0324479 | + | 0.370882i | ||||
\(987\) | −9.54190 | − | 20.4627i | −0.303722 | − | 0.651334i | ||||
\(988\) | −0.0562004 | + | 0.209743i | −0.00178797 | + | 0.00667281i | ||||
\(989\) | −47.9168 | + | 82.9943i | −1.52367 | + | 2.63907i | ||||
\(990\) | 33.4750 | − | 12.7728i | 1.06390 | − | 0.405947i | ||||
\(991\) | −6.27750 | + | 23.4280i | −0.199411 | + | 0.744214i | 0.791669 | + | 0.610950i | \(0.209212\pi\) |
−0.991081 | + | 0.133264i | \(0.957454\pi\) | |||||||
\(992\) | 1.67389 | − | 1.17207i | 0.0531460 | − | 0.0372132i | ||||
\(993\) | 2.23442i | 0.0709070i | ||||||||
\(994\) | 25.7236 | + | 36.7370i | 0.815902 | + | 1.16523i | ||||
\(995\) | −25.3833 | − | 6.38290i | −0.804704 | − | 0.202351i | ||||
\(996\) | 2.77784 | − | 1.01105i | 0.0880194 | − | 0.0320364i | ||||
\(997\) | 6.99743 | − | 19.2253i | 0.221611 | − | 0.608871i | −0.778206 | − | 0.628009i | \(-0.783870\pi\) |
0.999817 | + | 0.0191383i | \(0.00609229\pi\) | |||||||
\(998\) | −7.74997 | + | 7.74997i | −0.245321 | + | 0.245321i | ||||
\(999\) | 17.3977 | − | 4.53240i | 0.550440 | − | 0.143399i |
(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 | 370.2.ba.b.163.4 | ✓ | 120 | |
5.2 | odd | 4 | 370.2.bd.b.237.7 | yes | 120 | ||
37.5 | odd | 36 | 370.2.bd.b.153.7 | yes | 120 | ||
185.42 | even | 36 | inner | 370.2.ba.b.227.4 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.b.163.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
370.2.ba.b.227.4 | yes | 120 | 185.42 | even | 36 | inner | |
370.2.bd.b.153.7 | yes | 120 | 37.5 | odd | 36 | ||
370.2.bd.b.237.7 | yes | 120 | 5.2 | odd | 4 |