Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | 1.04856 | + | 1.37859i | 0.605387 | + | 0.795932i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | 1.42325 | + | 0.987098i | 0.581039 | + | 0.402981i | ||||
\(7\) | 0.426617 | + | 4.05899i | 0.161246 | + | 1.53415i | 0.713605 | + | 0.700548i | \(0.247061\pi\) |
−0.552359 | + | 0.833607i | \(0.686272\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | −0.801042 | + | 2.89108i | −0.267014 | + | 0.963693i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | 3.30515 | + | 1.47155i | 0.996542 | + | 0.443689i | 0.839181 | − | 0.543852i | \(-0.183035\pi\) |
0.157361 | + | 0.987541i | \(0.449701\pi\) | |||||||
\(12\) | 1.65862 | + | 0.498978i | 0.478802 | + | 0.144042i | ||||
\(13\) | −0.315521 | − | 1.48441i | −0.0875098 | − | 0.411701i | −0.999997 | − | 0.00259505i | \(-0.999174\pi\) |
0.912487 | − | 0.409106i | \(-0.134159\pi\) | |||||||
\(14\) | 1.66003 | + | 3.72850i | 0.443663 | + | 0.996483i | ||||
\(15\) | 1.59738 | + | 0.669617i | 0.412441 | + | 0.172894i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −0.831557 | + | 0.370233i | −0.201682 | + | 0.0897947i | −0.505092 | − | 0.863065i | \(-0.668542\pi\) |
0.303410 | + | 0.952860i | \(0.401875\pi\) | |||||||
\(18\) | 0.131556 | + | 2.99711i | 0.0310080 | + | 0.706427i | ||||
\(19\) | −5.99902 | − | 1.27513i | −1.37627 | − | 0.292535i | −0.540375 | − | 0.841424i | \(-0.681718\pi\) |
−0.835895 | + | 0.548889i | \(0.815051\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | −5.14837 | + | 4.84423i | −1.12347 | + | 1.05710i | ||||
\(22\) | 3.59812 | + | 0.378178i | 0.767122 | + | 0.0806278i | ||||
\(23\) | −5.09792 | − | 3.70386i | −1.06299 | − | 0.772308i | −0.0883513 | − | 0.996089i | \(-0.528160\pi\) |
−0.974639 | + | 0.223781i | \(0.928160\pi\) | |||||||
\(24\) | 1.73163 | − | 0.0379860i | 0.353468 | − | 0.00775385i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −0.758786 | − | 1.31426i | −0.148810 | − | 0.257747i | ||||
\(27\) | −4.82556 | + | 1.92716i | −0.928680 | + | 0.370882i | ||||
\(28\) | 2.73096 | + | 3.03303i | 0.516102 | + | 0.573190i | ||||
\(29\) | 0.234766 | + | 0.722537i | 0.0435950 | + | 0.134172i | 0.970485 | − | 0.241161i | \(-0.0775283\pi\) |
−0.926890 | + | 0.375333i | \(0.877528\pi\) | |||||||
\(30\) | 1.72612 | + | 0.143227i | 0.315145 | + | 0.0261496i | ||||
\(31\) | 3.18326 | − | 4.56803i | 0.571730 | − | 0.820442i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.43698 | + | 6.09947i | 0.250147 | + | 1.06178i | ||||
\(34\) | −0.676450 | + | 0.609078i | −0.116010 | + | 0.104456i | ||||
\(35\) | 2.39896 | + | 3.30188i | 0.405498 | + | 0.558120i | ||||
\(36\) | 1.05128 | + | 2.80977i | 0.175213 | + | 0.468295i | ||||
\(37\) | 6.51379 | + | 3.76074i | 1.07086 | + | 0.618262i | 0.928416 | − | 0.371541i | \(-0.121171\pi\) |
0.142444 | + | 0.989803i | \(0.454504\pi\) | |||||||
\(38\) | −6.09945 | + | 0.641078i | −0.989461 | + | 0.103997i | ||||
\(39\) | 1.71555 | − | 1.99147i | 0.274709 | − | 0.318890i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | 4.77654 | + | 4.30082i | 0.745971 | + | 0.671675i | 0.951733 | − | 0.306927i | \(-0.0993007\pi\) |
−0.205762 | + | 0.978602i | \(0.565967\pi\) | |||||||
\(42\) | −3.39944 | + | 6.19807i | −0.524545 | + | 0.956383i | ||||
\(43\) | 2.06985 | − | 9.73786i | 0.315649 | − | 1.48501i | −0.478932 | − | 0.877852i | \(-0.658976\pi\) |
0.794581 | − | 0.607158i | \(-0.207691\pi\) | |||||||
\(44\) | 3.53888 | − | 0.752212i | 0.533506 | − | 0.113400i | ||||
\(45\) | 0.751816 | + | 2.90427i | 0.112074 | + | 0.432943i | ||||
\(46\) | −5.99297 | − | 1.94723i | −0.883615 | − | 0.287104i | ||||
\(47\) | 9.32882 | + | 3.03112i | 1.36075 | + | 0.442134i | 0.896293 | − | 0.443462i | \(-0.146250\pi\) |
0.464456 | + | 0.885596i | \(0.346250\pi\) | |||||||
\(48\) | 1.63514 | − | 0.571231i | 0.236013 | − | 0.0824501i | ||||
\(49\) | −9.44638 | + | 2.00789i | −1.34948 | + | 0.286842i | ||||
\(50\) | 0.207912 | − | 0.978148i | 0.0294032 | − | 0.138331i | ||||
\(51\) | −1.38234 | − | 0.758168i | −0.193566 | − | 0.106165i | ||||
\(52\) | −1.12778 | − | 1.01545i | −0.156394 | − | 0.140818i | ||||
\(53\) | −1.09808 | + | 10.4475i | −0.150833 | + | 1.43508i | 0.613213 | + | 0.789918i | \(0.289877\pi\) |
−0.764046 | + | 0.645162i | \(0.776790\pi\) | |||||||
\(54\) | −3.99386 | + | 3.32402i | −0.543495 | + | 0.452341i | ||||
\(55\) | 3.59812 | − | 0.378178i | 0.485171 | − | 0.0509935i | ||||
\(56\) | 3.53455 | + | 2.04068i | 0.472325 | + | 0.272697i | ||||
\(57\) | −4.53245 | − | 9.60727i | −0.600338 | − | 1.27251i | ||||
\(58\) | 0.446552 | + | 0.614627i | 0.0586352 | + | 0.0807044i | ||||
\(59\) | 6.39219 | − | 5.75555i | 0.832192 | − | 0.749309i | −0.138313 | − | 0.990389i | \(-0.544168\pi\) |
0.970505 | + | 0.241080i | \(0.0775015\pi\) | |||||||
\(60\) | 1.68590 | − | 0.397183i | 0.217648 | − | 0.0512761i | ||||
\(61\) | − | 10.8474i | − | 1.38887i | −0.719556 | − | 0.694435i | \(-0.755654\pi\) | ||
0.719556 | − | 0.694435i | \(-0.244346\pi\) | |||||||
\(62\) | 1.61586 | − | 5.32813i | 0.205215 | − | 0.676673i | ||||
\(63\) | −12.0766 | − | 2.01804i | −1.52151 | − | 0.254249i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −1.01545 | − | 1.12778i | −0.125952 | − | 0.139883i | ||||
\(66\) | 3.25149 | + | 5.35689i | 0.400231 | + | 0.659388i | ||||
\(67\) | −3.17730 | − | 5.50324i | −0.388169 | − | 0.672328i | 0.604035 | − | 0.796958i | \(-0.293559\pi\) |
−0.992203 | + | 0.124630i | \(0.960226\pi\) | |||||||
\(68\) | −0.455126 | + | 0.788302i | −0.0551922 | + | 0.0955957i | ||||
\(69\) | −0.239364 | − | 10.9117i | −0.0288160 | − | 1.31361i | ||||
\(70\) | 3.30188 | + | 2.39896i | 0.394650 | + | 0.286730i | ||||
\(71\) | 2.69884 | + | 0.283660i | 0.320293 | + | 0.0336642i | 0.263311 | − | 0.964711i | \(-0.415185\pi\) |
0.0569824 | + | 0.998375i | \(0.481852\pi\) | |||||||
\(72\) | 1.86809 | + | 2.34739i | 0.220157 | + | 0.276643i | ||||
\(73\) | −4.41226 | + | 9.91010i | −0.516416 | + | 1.15989i | 0.447646 | + | 0.894211i | \(0.352262\pi\) |
−0.964062 | + | 0.265678i | \(0.914404\pi\) | |||||||
\(74\) | 7.35712 | + | 1.56380i | 0.855247 | + | 0.181788i | ||||
\(75\) | 1.71818 | − | 0.218783i | 0.198398 | − | 0.0252629i | ||||
\(76\) | −5.60282 | + | 2.49453i | −0.642687 | + | 0.286143i | ||||
\(77\) | −4.56297 | + | 14.0434i | −0.519999 | + | 1.60039i | ||||
\(78\) | 1.01619 | − | 2.42413i | 0.115061 | − | 0.274479i | ||||
\(79\) | −5.32318 | − | 11.9561i | −0.598904 | − | 1.34516i | −0.917676 | − | 0.397329i | \(-0.869937\pi\) |
0.318772 | − | 0.947831i | \(-0.396730\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | −7.71666 | − | 4.63175i | −0.857407 | − | 0.514639i | ||||
\(82\) | 5.87179 | + | 2.61429i | 0.648431 | + | 0.288700i | ||||
\(83\) | 4.85446 | − | 5.39142i | 0.532846 | − | 0.591785i | −0.415275 | − | 0.909696i | \(-0.636315\pi\) |
0.948121 | + | 0.317911i | \(0.102981\pi\) | |||||||
\(84\) | −1.31775 | + | 6.94520i | −0.143778 | + | 0.757783i | ||||
\(85\) | −0.535033 | + | 0.736410i | −0.0580325 | + | 0.0798749i | ||||
\(86\) | −1.04062 | − | 9.90088i | −0.112213 | − | 1.06764i | ||||
\(87\) | −0.749918 | + | 1.08127i | −0.0803997 | + | 0.115924i | ||||
\(88\) | 3.13323 | − | 1.80897i | 0.334003 | − | 0.192837i | ||||
\(89\) | 5.08325 | − | 3.69320i | 0.538823 | − | 0.391478i | −0.284825 | − | 0.958580i | \(-0.591935\pi\) |
0.823648 | + | 0.567102i | \(0.191935\pi\) | |||||||
\(90\) | 1.61249 | + | 2.52980i | 0.169971 | + | 0.266664i | ||||
\(91\) | 5.89060 | − | 1.91397i | 0.617503 | − | 0.200639i | ||||
\(92\) | −6.30138 | −0.656964 | ||||||||
\(93\) | 9.63529 | − | 0.401428i | 0.999133 | − | 0.0416261i | ||||
\(94\) | 9.80891 | 1.01171 | ||||||||
\(95\) | −5.83287 | + | 1.89522i | −0.598440 | + | 0.194445i | ||||
\(96\) | 1.37859 | − | 1.04856i | 0.140702 | − | 0.107018i | ||||
\(97\) | 10.0834 | − | 7.32599i | 1.02381 | − | 0.743841i | 0.0567493 | − | 0.998388i | \(-0.481926\pi\) |
0.967060 | + | 0.254547i | \(0.0819264\pi\) | |||||||
\(98\) | −8.36357 | + | 4.82871i | −0.844848 | + | 0.487773i | ||||
\(99\) | −6.90193 | + | 8.37669i | −0.693670 | + | 0.841889i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | −4.70947 | + | 6.48203i | −0.468610 | + | 0.644986i | −0.976266 | − | 0.216573i | \(-0.930512\pi\) |
0.507656 | + | 0.861560i | \(0.330512\pi\) | |||||||
\(102\) | −1.54897 | − | 0.293894i | −0.153371 | − | 0.0290999i | ||||
\(103\) | −11.2903 | + | 12.5392i | −1.11247 | + | 1.23552i | −0.143153 | + | 0.989701i | \(0.545724\pi\) |
−0.969315 | + | 0.245820i | \(0.920943\pi\) | |||||||
\(104\) | −1.38637 | − | 0.617252i | −0.135945 | − | 0.0605265i | ||||
\(105\) | −2.03650 | + | 6.76941i | −0.198742 | + | 0.660627i | ||||
\(106\) | 2.18413 | + | 10.2755i | 0.212142 | + | 0.998047i | ||||
\(107\) | −6.39157 | − | 14.3557i | −0.617897 | − | 1.38782i | −0.903133 | − | 0.429362i | \(-0.858739\pi\) |
0.285236 | − | 0.958457i | \(-0.407928\pi\) | |||||||
\(108\) | −2.77121 | + | 4.39550i | −0.266660 | + | 0.422957i | ||||
\(109\) | 2.59598 | − | 7.98961i | 0.248650 | − | 0.765265i | −0.746365 | − | 0.665537i | \(-0.768203\pi\) |
0.995015 | − | 0.0997284i | \(-0.0317974\pi\) | |||||||
\(110\) | 3.30515 | − | 1.47155i | 0.315134 | − | 0.140307i | ||||
\(111\) | 1.64557 | + | 12.9232i | 0.156191 | + | 1.22662i | ||||
\(112\) | 3.99216 | + | 0.848560i | 0.377224 | + | 0.0801814i | ||||
\(113\) | −7.80569 | + | 17.5319i | −0.734298 | + | 1.64926i | 0.0259801 | + | 0.999662i | \(0.491729\pi\) |
−0.760278 | + | 0.649598i | \(0.774937\pi\) | |||||||
\(114\) | −7.27943 | − | 7.73645i | −0.681781 | − | 0.724585i | ||||
\(115\) | −6.26686 | − | 0.658674i | −0.584388 | − | 0.0614216i | ||||
\(116\) | 0.614627 | + | 0.446552i | 0.0570667 | + | 0.0414613i | ||||
\(117\) | 4.54429 | + | 0.276879i | 0.420120 | + | 0.0255975i | ||||
\(118\) | 4.30077 | − | 7.44915i | 0.395918 | − | 0.685750i | ||||
\(119\) | −1.85753 | − | 3.21734i | −0.170280 | − | 0.294933i | ||||
\(120\) | 1.48065 | − | 0.898714i | 0.135164 | − | 0.0820410i | ||||
\(121\) | 1.39815 | + | 1.55281i | 0.127105 | + | 0.141164i | ||||
\(122\) | −3.35204 | − | 10.3165i | −0.303479 | − | 0.934013i | ||||
\(123\) | −0.920589 | + | 11.0946i | −0.0830067 | + | 1.00036i | ||||
\(124\) | −0.109707 | − | 5.56668i | −0.00985196 | − | 0.499903i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | −12.1091 | + | 1.81260i | −1.07877 | + | 0.161480i | ||||
\(127\) | 3.15317 | − | 2.83912i | 0.279798 | − | 0.251931i | −0.517268 | − | 0.855824i | \(-0.673051\pi\) |
0.797066 | + | 0.603892i | \(0.206384\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | 15.5949 | − | 7.35726i | 1.37306 | − | 0.647771i | ||||
\(130\) | −1.31426 | − | 0.758786i | −0.115268 | − | 0.0665499i | ||||
\(131\) | −1.79029 | + | 0.188168i | −0.156419 | + | 0.0164403i | −0.182414 | − | 0.983222i | \(-0.558391\pi\) |
0.0259954 | + | 0.999662i | \(0.491724\pi\) | |||||||
\(132\) | 4.74773 | + | 4.08994i | 0.413237 | + | 0.355984i | ||||
\(133\) | 2.61646 | − | 24.8940i | 0.226876 | − | 2.15858i | ||||
\(134\) | −4.72238 | − | 4.25205i | −0.407952 | − | 0.367322i | ||||
\(135\) | −3.21548 | + | 4.08175i | −0.276745 | + | 0.351301i | ||||
\(136\) | −0.189252 | + | 0.890362i | −0.0162282 | + | 0.0763479i | ||||
\(137\) | 4.46170 | − | 0.948363i | 0.381188 | − | 0.0810241i | −0.0133323 | − | 0.999911i | \(-0.504244\pi\) |
0.394521 | + | 0.918887i | \(0.370911\pi\) | |||||||
\(138\) | −3.59955 | − | 10.3037i | −0.306414 | − | 0.877106i | ||||
\(139\) | −1.00223 | − | 0.325643i | −0.0850077 | − | 0.0276207i | 0.266204 | − | 0.963917i | \(-0.414230\pi\) |
−0.351212 | + | 0.936296i | \(0.614230\pi\) | |||||||
\(140\) | 3.88159 | + | 1.26121i | 0.328055 | + | 0.106591i | ||||
\(141\) | 5.60315 | + | 16.0390i | 0.471871 | + | 1.35073i | ||||
\(142\) | 2.65441 | − | 0.564211i | 0.222753 | − | 0.0473476i | ||||
\(143\) | 1.14154 | − | 5.37051i | 0.0954601 | − | 0.449104i | ||||
\(144\) | 2.50204 | + | 1.65523i | 0.208504 | + | 0.137936i | ||||
\(145\) | 0.564582 | + | 0.508352i | 0.0468860 | + | 0.0422163i | ||||
\(146\) | −1.13392 | + | 10.7885i | −0.0938439 | + | 0.892865i | ||||
\(147\) | −12.6732 | − | 10.9173i | −1.04527 | − | 0.900446i | ||||
\(148\) | 7.48027 | − | 0.786208i | 0.614875 | − | 0.0646259i | ||||
\(149\) | −20.3089 | − | 11.7253i | −1.66377 | − | 0.960577i | −0.970891 | − | 0.239521i | \(-0.923010\pi\) |
−0.692877 | − | 0.721056i | \(-0.743657\pi\) | |||||||
\(150\) | 1.56648 | − | 0.739021i | 0.127902 | − | 0.0603408i | ||||
\(151\) | 0.758279 | + | 1.04368i | 0.0617078 | + | 0.0849336i | 0.838756 | − | 0.544508i | \(-0.183284\pi\) |
−0.777048 | + | 0.629442i | \(0.783284\pi\) | |||||||
\(152\) | −4.55774 | + | 4.10381i | −0.369682 | + | 0.332863i | ||||
\(153\) | −0.404260 | − | 2.70067i | −0.0326825 | − | 0.218336i | ||||
\(154\) | 14.7661i | 1.18989i | ||||||||
\(155\) | 0.472771 | − | 5.54766i | 0.0379739 | − | 0.445598i | ||||
\(156\) | 0.217358 | − | 2.61951i | 0.0174025 | − | 0.209729i | ||||
\(157\) | 3.84289 | + | 11.8272i | 0.306696 | + | 0.943913i | 0.979039 | + | 0.203673i | \(0.0652880\pi\) |
−0.672343 | + | 0.740240i | \(0.734712\pi\) | |||||||
\(158\) | −8.75727 | − | 9.72593i | −0.696691 | − | 0.773753i | ||||
\(159\) | −15.5543 | + | 9.44107i | −1.23354 | + | 0.748725i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | 12.8591 | − | 22.2726i | 1.01344 | − | 1.75532i | ||||
\(162\) | −8.77027 | − | 2.02048i | −0.689058 | − | 0.158744i | ||||
\(163\) | −18.1316 | − | 13.1734i | −1.42018 | − | 1.03182i | −0.991742 | − | 0.128249i | \(-0.959064\pi\) |
−0.428437 | − | 0.903572i | \(-0.640936\pi\) | |||||||
\(164\) | 6.39226 | + | 0.671854i | 0.499152 | + | 0.0524630i | ||||
\(165\) | 4.29420 | + | 4.56381i | 0.334303 | + | 0.355292i | ||||
\(166\) | 2.95082 | − | 6.62766i | 0.229028 | − | 0.514406i | ||||
\(167\) | 5.16142 | + | 1.09709i | 0.399402 | + | 0.0848956i | 0.403234 | − | 0.915097i | \(-0.367886\pi\) |
−0.00383121 | + | 0.999993i | \(0.501220\pi\) | |||||||
\(168\) | 0.892930 | + | 7.01248i | 0.0688910 | + | 0.541025i | ||||
\(169\) | 9.77217 | − | 4.35085i | 0.751706 | − | 0.334681i | ||||
\(170\) | −0.281284 | + | 0.865702i | −0.0215735 | + | 0.0663963i | ||||
\(171\) | 8.49198 | − | 16.3222i | 0.649398 | − | 1.24819i | ||||
\(172\) | −4.04923 | − | 9.09472i | −0.308751 | − | 0.693466i | ||||
\(173\) | 1.25640 | + | 5.91088i | 0.0955221 | + | 0.449396i | 0.999750 | + | 0.0223465i | \(0.00711370\pi\) |
−0.904228 | + | 0.427050i | \(0.859553\pi\) | |||||||
\(174\) | −0.379083 | + | 1.26009i | −0.0287382 | + | 0.0955270i | ||||
\(175\) | 3.72850 | + | 1.66003i | 0.281848 | + | 0.125487i | ||||
\(176\) | 2.42088 | − | 2.68865i | 0.182480 | − | 0.202665i | ||||
\(177\) | 14.6372 | + | 2.77719i | 1.10020 | + | 0.208746i | ||||
\(178\) | 3.69320 | − | 5.08325i | 0.276817 | − | 0.381005i | ||||
\(179\) | 1.37631 | + | 13.0947i | 0.102870 | + | 0.978747i | 0.917222 | + | 0.398375i | \(0.130426\pi\) |
−0.814352 | + | 0.580371i | \(0.802907\pi\) | |||||||
\(180\) | 2.31532 | + | 1.90770i | 0.172574 | + | 0.142191i | ||||
\(181\) | −17.2702 | + | 9.97095i | −1.28368 | + | 0.741135i | −0.977520 | − | 0.210845i | \(-0.932379\pi\) |
−0.306163 | + | 0.951979i | \(0.599045\pi\) | |||||||
\(182\) | 5.01084 | − | 3.64059i | 0.371428 | − | 0.269859i | ||||
\(183\) | 14.9542 | − | 11.3742i | 1.10545 | − | 0.840803i | ||||
\(184\) | −5.99297 | + | 1.94723i | −0.441808 | + | 0.143552i | ||||
\(185\) | 7.52148 | 0.552990 | ||||||||
\(186\) | 9.03966 | − | 3.35925i | 0.662820 | − | 0.246312i | ||||
\(187\) | −3.29324 | −0.240826 | ||||||||
\(188\) | 9.32882 | − | 3.03112i | 0.680374 | − | 0.221067i | ||||
\(189\) | −9.88099 | − | 18.7648i | −0.718736 | − | 1.36494i | ||||
\(190\) | −4.96174 | + | 3.60491i | −0.359962 | + | 0.261528i | ||||
\(191\) | −3.61957 | + | 2.08976i | −0.261903 | + | 0.151210i | −0.625202 | − | 0.780463i | \(-0.714984\pi\) |
0.363299 | + | 0.931673i | \(0.381650\pi\) | |||||||
\(192\) | 0.987098 | − | 1.42325i | 0.0712376 | − | 0.102714i | ||||
\(193\) | −0.312514 | − | 2.97337i | −0.0224952 | − | 0.214028i | −0.999995 | − | 0.00309239i | \(-0.999016\pi\) |
0.977500 | − | 0.210936i | \(-0.0676510\pi\) | |||||||
\(194\) | 7.32599 | − | 10.0834i | 0.525975 | − | 0.723943i | ||||
\(195\) | 0.489980 | − | 2.58244i | 0.0350882 | − | 0.184932i | ||||
\(196\) | −6.46208 | + | 7.17686i | −0.461577 | + | 0.512633i | ||||
\(197\) | 1.85500 | + | 0.825899i | 0.132163 | + | 0.0588429i | 0.471753 | − | 0.881731i | \(-0.343621\pi\) |
−0.339590 | + | 0.940574i | \(0.610288\pi\) | |||||||
\(198\) | −3.97559 | + | 10.0995i | −0.282533 | + | 0.717741i | ||||
\(199\) | −2.85520 | − | 13.4327i | −0.202400 | − | 0.952216i | −0.955655 | − | 0.294488i | \(-0.904851\pi\) |
0.753255 | − | 0.657728i | \(-0.228482\pi\) | |||||||
\(200\) | −0.406737 | − | 0.913545i | −0.0287606 | − | 0.0645974i | ||||
\(201\) | 4.25515 | − | 10.1507i | 0.300135 | − | 0.715974i | ||||
\(202\) | −2.47592 | + | 7.62009i | −0.174205 | + | 0.536147i | ||||
\(203\) | −2.83262 | + | 1.26116i | −0.198811 | + | 0.0885162i | ||||
\(204\) | −1.56398 | + | 0.199148i | −0.109500 | + | 0.0139431i | ||||
\(205\) | 6.28702 | + | 1.33635i | 0.439104 | + | 0.0933345i | ||||
\(206\) | −6.86291 | + | 15.4144i | −0.478162 | + | 1.07397i | ||||
\(207\) | 14.7918 | − | 11.7715i | 1.02810 | − | 0.818179i | ||||
\(208\) | −1.50926 | − | 0.158629i | −0.104648 | − | 0.0109990i | ||||
\(209\) | −17.9513 | − | 13.0424i | −1.24172 | − | 0.902160i | ||||
\(210\) | 0.155034 | + | 7.06741i | 0.0106984 | + | 0.487697i | ||||
\(211\) | 1.52165 | − | 2.63558i | 0.104755 | − | 0.181440i | −0.808883 | − | 0.587969i | \(-0.799928\pi\) |
0.913638 | + | 0.406529i | \(0.133261\pi\) | |||||||
\(212\) | 5.25254 | + | 9.09767i | 0.360746 | + | 0.624831i | ||||
\(213\) | 2.43885 | + | 4.01804i | 0.167107 | + | 0.275311i | ||||
\(214\) | −10.5149 | − | 11.6780i | −0.718784 | − | 0.798291i | ||||
\(215\) | −3.07639 | − | 9.46816i | −0.209808 | − | 0.645723i | ||||
\(216\) | −1.27729 | + | 5.03672i | −0.0869087 | + | 0.342705i | ||||
\(217\) | 19.8996 | + | 10.9720i | 1.35087 | + | 0.744830i | ||||
\(218\) | − | 8.40077i | − | 0.568972i | ||||||
\(219\) | −18.2885 | + | 4.30862i | −1.23582 | + | 0.291150i | ||||
\(220\) | 2.68865 | − | 2.42088i | 0.181269 | − | 0.163215i | ||||
\(221\) | 0.811951 | + | 1.11756i | 0.0546178 | + | 0.0751749i | ||||
\(222\) | 5.55853 | + | 11.7822i | 0.373064 | + | 0.790771i | ||||
\(223\) | 9.66341 | + | 5.57917i | 0.647110 | + | 0.373609i | 0.787348 | − | 0.616509i | \(-0.211453\pi\) |
−0.140238 | + | 0.990118i | \(0.544787\pi\) | |||||||
\(224\) | 4.05899 | − | 0.426617i | 0.271203 | − | 0.0285046i | ||||
\(225\) | 2.10323 | + | 2.13926i | 0.140215 | + | 0.142617i | ||||
\(226\) | −2.00601 | + | 19.0859i | −0.133438 | + | 1.26958i | ||||
\(227\) | 13.3073 | + | 11.9820i | 0.883237 | + | 0.795270i | 0.979784 | − | 0.200058i | \(-0.0641132\pi\) |
−0.0965472 | + | 0.995328i | \(0.530780\pi\) | |||||||
\(228\) | −9.31384 | − | 5.10834i | −0.616824 | − | 0.338308i | ||||
\(229\) | 1.48170 | − | 6.97085i | 0.0979134 | − | 0.460647i | −0.901687 | − | 0.432389i | \(-0.857671\pi\) |
0.999601 | − | 0.0282577i | \(-0.00899589\pi\) | |||||||
\(230\) | −6.16368 | + | 1.31013i | −0.406421 | + | 0.0863875i | ||||
\(231\) | −24.1447 | + | 8.43485i | −1.58860 | + | 0.554972i | ||||
\(232\) | 0.722537 | + | 0.234766i | 0.0474369 | + | 0.0154132i | ||||
\(233\) | 1.68590 | + | 0.547783i | 0.110447 | + | 0.0358865i | 0.363719 | − | 0.931509i | \(-0.381507\pi\) |
−0.253272 | + | 0.967395i | \(0.581507\pi\) | |||||||
\(234\) | 4.40744 | − | 1.14093i | 0.288123 | − | 0.0745852i | ||||
\(235\) | 9.59456 | − | 2.03939i | 0.625880 | − | 0.133035i | ||||
\(236\) | 1.78836 | − | 8.41357i | 0.116412 | − | 0.547677i | ||||
\(237\) | 10.9009 | − | 19.8751i | 0.708087 | − | 1.29103i | ||||
\(238\) | −2.76083 | − | 2.48586i | −0.178958 | − | 0.161134i | ||||
\(239\) | −0.545577 | + | 5.19082i | −0.0352904 | + | 0.335766i | 0.962604 | + | 0.270911i | \(0.0873251\pi\) |
−0.997895 | + | 0.0648547i | \(0.979342\pi\) | |||||||
\(240\) | 1.13046 | − | 1.31227i | 0.0729709 | − | 0.0847068i | ||||
\(241\) | 1.83884 | − | 0.193270i | 0.118450 | − | 0.0124496i | −0.0451178 | − | 0.998982i | \(-0.514366\pi\) |
0.163568 | + | 0.986532i | \(0.447700\pi\) | |||||||
\(242\) | 1.80956 | + | 1.04475i | 0.116323 | + | 0.0671592i | ||||
\(243\) | −1.70608 | − | 15.4948i | −0.109445 | − | 0.993993i | ||||
\(244\) | −6.37595 | − | 8.77575i | −0.408179 | − | 0.561810i | ||||
\(245\) | −7.17686 | + | 6.46208i | −0.458513 | + | 0.412847i | ||||
\(246\) | 2.55288 | + | 10.8361i | 0.162766 | + | 0.690881i | ||||
\(247\) | 9.30734i | 0.592212i | ||||||||
\(248\) | −1.82454 | − | 5.26033i | −0.115858 | − | 0.334031i | ||||
\(249\) | 12.5228 | + | 1.03910i | 0.793599 | + | 0.0658500i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −5.66127 | − | 6.28748i | −0.357336 | − | 0.396862i | 0.537495 | − | 0.843267i | \(-0.319371\pi\) |
−0.894831 | + | 0.446405i | \(0.852704\pi\) | |||||||
\(252\) | −10.9564 | + | 5.46582i | −0.690185 | + | 0.344314i | ||||
\(253\) | −11.3990 | − | 19.7437i | −0.716650 | − | 1.24127i | ||||
\(254\) | 2.12150 | − | 3.67455i | 0.133115 | − | 0.230562i | ||||
\(255\) | −1.57623 | + | 0.0345768i | −0.0987070 | + | 0.00216529i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −28.2834 | − | 2.97271i | −1.76427 | − | 0.185432i | −0.833866 | − | 0.551967i | \(-0.813878\pi\) |
−0.930405 | + | 0.366534i | \(0.880544\pi\) | |||||||
\(258\) | 12.5581 | − | 11.8163i | 0.781835 | − | 0.735648i | ||||
\(259\) | −12.4859 | + | 28.0438i | −0.775837 | + | 1.74256i | ||||
\(260\) | −1.48441 | − | 0.315521i | −0.0920591 | − | 0.0195678i | ||||
\(261\) | −2.27697 | + | 0.0999455i | −0.140941 | + | 0.00618647i | ||||
\(262\) | −1.64452 | + | 0.732189i | −0.101599 | + | 0.0452348i | ||||
\(263\) | 2.42838 | − | 7.47379i | 0.149740 | − | 0.460854i | −0.847850 | − | 0.530237i | \(-0.822103\pi\) |
0.997590 | + | 0.0693831i | \(0.0221031\pi\) | |||||||
\(264\) | 5.77922 | + | 2.42264i | 0.355686 | + | 0.149103i | ||||
\(265\) | 4.27280 | + | 9.59687i | 0.262476 | + | 0.589531i | ||||
\(266\) | −5.20426 | − | 24.4841i | −0.319094 | − | 1.50122i | ||||
\(267\) | 10.4215 | + | 3.13520i | 0.637786 | + | 0.191871i | ||||
\(268\) | −5.80521 | − | 2.58465i | −0.354610 | − | 0.157882i | ||||
\(269\) | −16.8556 | + | 18.7200i | −1.02770 | + | 1.14138i | −0.0378492 | + | 0.999283i | \(0.512051\pi\) |
−0.989853 | + | 0.142095i | \(0.954616\pi\) | |||||||
\(270\) | −1.79678 | + | 4.87561i | −0.109348 | + | 0.296720i | ||||
\(271\) | −6.39274 | + | 8.79886i | −0.388332 | + | 0.534493i | −0.957768 | − | 0.287543i | \(-0.907162\pi\) |
0.569436 | + | 0.822036i | \(0.307162\pi\) | |||||||
\(272\) | 0.0951473 | + | 0.905266i | 0.00576915 | + | 0.0548898i | ||||
\(273\) | 8.81524 | + | 6.11383i | 0.533522 | + | 0.370026i | ||||
\(274\) | 3.95027 | − | 2.28069i | 0.238644 | − | 0.137781i | ||||
\(275\) | 2.92698 | − | 2.12657i | 0.176503 | − | 0.128237i | ||||
\(276\) | −6.60738 | − | 8.68704i | −0.397717 | − | 0.522899i | ||||
\(277\) | −10.7453 | + | 3.49136i | −0.645622 | + | 0.209775i | −0.613483 | − | 0.789708i | \(-0.710232\pi\) |
−0.0321394 | + | 0.999483i | \(0.510232\pi\) | |||||||
\(278\) | −1.05380 | −0.0632029 | ||||||||
\(279\) | 10.6566 | + | 12.8622i | 0.637993 | + | 0.770042i | ||||
\(280\) | 4.08135 | 0.243907 | ||||||||
\(281\) | 6.38416 | − | 2.07434i | 0.380847 | − | 0.123745i | −0.112336 | − | 0.993670i | \(-0.535833\pi\) |
0.493183 | + | 0.869926i | \(0.335833\pi\) | |||||||
\(282\) | 10.2852 | + | 13.5225i | 0.612477 | + | 0.805253i | ||||
\(283\) | −12.0044 | + | 8.72171i | −0.713588 | + | 0.518452i | −0.884329 | − | 0.466864i | \(-0.845384\pi\) |
0.170742 | + | 0.985316i | \(0.445384\pi\) | |||||||
\(284\) | 2.35014 | − | 1.35685i | 0.139455 | − | 0.0805144i | ||||
\(285\) | −8.72885 | − | 6.05392i | −0.517053 | − | 0.358603i | ||||
\(286\) | −0.573912 | − | 5.46041i | −0.0339361 | − | 0.322881i | ||||
\(287\) | −15.4192 | + | 21.2228i | −0.910169 | + | 1.25274i | ||||
\(288\) | 2.89108 | + | 0.801042i | 0.170358 | + | 0.0472019i | ||||
\(289\) | −10.8208 | + | 12.0177i | −0.636518 | + | 0.706925i | ||||
\(290\) | 0.694039 | + | 0.309006i | 0.0407554 | + | 0.0181455i | ||||
\(291\) | 20.6726 | + | 6.21911i | 1.21185 | + | 0.364571i | ||||
\(292\) | 2.25542 | + | 10.6109i | 0.131988 | + | 0.620956i | ||||
\(293\) | 2.17429 | + | 4.88353i | 0.127023 | + | 0.285299i | 0.965851 | − | 0.259098i | \(-0.0834252\pi\) |
−0.838828 | + | 0.544397i | \(0.816759\pi\) | |||||||
\(294\) | −15.4265 | − | 6.46678i | −0.899694 | − | 0.377150i | ||||
\(295\) | 2.65802 | − | 8.18055i | 0.154756 | − | 0.476290i | ||||
\(296\) | 6.87121 | − | 3.05926i | 0.399381 | − | 0.177816i | ||||
\(297\) | −18.7851 | − | 0.731503i | −1.09002 | − | 0.0424461i | ||||
\(298\) | −22.9382 | − | 4.87567i | −1.32878 | − | 0.282440i | ||||
\(299\) | −3.88954 | + | 8.73605i | −0.224938 | + | 0.505219i | ||||
\(300\) | 1.26144 | − | 1.18692i | 0.0728291 | − | 0.0685268i | ||||
\(301\) | 40.4089 | + | 4.24715i | 2.32913 | + | 0.244802i | ||||
\(302\) | 1.04368 | + | 0.758279i | 0.0600571 | + | 0.0436340i | ||||
\(303\) | −13.8743 | + | 0.304352i | −0.797055 | + | 0.0174846i | ||||
\(304\) | −3.06652 | + | 5.31137i | −0.175877 | + | 0.304628i | ||||
\(305\) | −5.42371 | − | 9.39414i | −0.310561 | − | 0.537907i | ||||
\(306\) | −1.21903 | − | 2.44357i | −0.0696871 | − | 0.139689i | ||||
\(307\) | 0.251142 | + | 0.278921i | 0.0143334 | + | 0.0159189i | 0.750269 | − | 0.661133i | \(-0.229924\pi\) |
−0.735935 | + | 0.677052i | \(0.763257\pi\) | |||||||
\(308\) | 4.56297 | + | 14.0434i | 0.260000 | + | 0.800196i | ||||
\(309\) | −29.1250 | − | 2.41669i | −1.65686 | − | 0.137481i | ||||
\(310\) | −1.26469 | − | 5.42223i | −0.0718294 | − | 0.307962i | ||||
\(311\) | 0.311811i | 0.0176812i | 0.999961 | + | 0.00884058i | \(0.00281408\pi\) | ||||
−0.999961 | + | 0.00884058i | \(0.997186\pi\) | |||||||
\(312\) | −0.602754 | − | 2.55847i | −0.0341242 | − | 0.144845i | ||||
\(313\) | 17.5610 | − | 15.8120i | 0.992607 | − | 0.893747i | −0.00173241 | − | 0.999998i | \(-0.500551\pi\) |
0.994339 | + | 0.106251i | \(0.0338848\pi\) | |||||||
\(314\) | 7.30961 | + | 10.0608i | 0.412505 | + | 0.567765i | ||||
\(315\) | −11.4677 | + | 4.29063i | −0.646130 | + | 0.241749i | ||||
\(316\) | −11.3341 | − | 6.54376i | −0.637595 | − | 0.368115i | ||||
\(317\) | 4.06266 | − | 0.427003i | 0.228182 | − | 0.0239829i | 0.0102524 | − | 0.999947i | \(-0.496736\pi\) |
0.217929 | + | 0.975965i | \(0.430070\pi\) | |||||||
\(318\) | −11.8756 | + | 13.7855i | −0.665950 | + | 0.773055i | ||||
\(319\) | −0.287309 | + | 2.73357i | −0.0160862 | + | 0.153050i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | 13.0887 | − | 23.8642i | 0.730543 | − | 1.33197i | ||||
\(322\) | 5.34710 | − | 25.1561i | 0.297982 | − | 1.40190i | ||||
\(323\) | 5.46063 | − | 1.16069i | 0.303837 | − | 0.0645827i | ||||
\(324\) | −8.96539 | + | 0.788574i | −0.498077 | + | 0.0438097i | ||||
\(325\) | −1.44330 | − | 0.468955i | −0.0800597 | − | 0.0260130i | ||||
\(326\) | −21.3150 | − | 6.92567i | −1.18053 | − | 0.383577i | ||||
\(327\) | 13.7365 | − | 4.79878i | 0.759628 | − | 0.265373i | ||||
\(328\) | 6.28702 | − | 1.33635i | 0.347142 | − | 0.0737874i | ||||
\(329\) | −8.32345 | + | 39.1588i | −0.458887 | + | 2.15889i | ||||
\(330\) | 5.49432 | + | 3.01346i | 0.302453 | + | 0.165885i | ||||
\(331\) | −9.95997 | − | 8.96800i | −0.547449 | − | 0.492926i | 0.348362 | − | 0.937360i | \(-0.386738\pi\) |
−0.895811 | + | 0.444434i | \(0.853405\pi\) | |||||||
\(332\) | 0.758341 | − | 7.21513i | 0.0416194 | − | 0.395982i | ||||
\(333\) | −16.0904 | + | 15.8194i | −0.881749 | + | 0.866896i | ||||
\(334\) | 5.24782 | − | 0.551568i | 0.287148 | − | 0.0301805i | ||||
\(335\) | −5.50324 | − | 3.17730i | −0.300674 | − | 0.173594i | ||||
\(336\) | 3.01620 | + | 6.39334i | 0.164547 | + | 0.348785i | ||||
\(337\) | 15.8462 | + | 21.8104i | 0.863197 | + | 1.18809i | 0.980798 | + | 0.195027i | \(0.0624795\pi\) |
−0.117601 | + | 0.993061i | \(0.537520\pi\) | |||||||
\(338\) | 7.94940 | − | 7.15767i | 0.432390 | − | 0.389326i | ||||
\(339\) | −32.3541 | + | 7.62235i | −1.75723 | + | 0.413989i | ||||
\(340\) | 0.910253i | 0.0493654i | ||||||||
\(341\) | 17.2432 | − | 10.4137i | 0.933774 | − | 0.563934i | ||||
\(342\) | 3.03251 | − | 18.1475i | 0.163979 | − | 0.981305i | ||||
\(343\) | −3.35156 | − | 10.3150i | −0.180967 | − | 0.556960i | ||||
\(344\) | −6.66147 | − | 7.39831i | −0.359162 | − | 0.398890i | ||||
\(345\) | −5.66314 | − | 9.33012i | −0.304893 | − | 0.502317i | ||||
\(346\) | 3.02147 | + | 5.23334i | 0.162435 | + | 0.281346i | ||||
\(347\) | 13.8284 | − | 23.9514i | 0.742346 | − | 1.28578i | −0.209079 | − | 0.977899i | \(-0.567047\pi\) |
0.951425 | − | 0.307882i | \(-0.0996201\pi\) | |||||||
\(348\) | 0.0288587 | + | 1.31556i | 0.00154699 | + | 0.0705213i | ||||
\(349\) | −16.3863 | − | 11.9053i | −0.877139 | − | 0.637278i | 0.0553543 | − | 0.998467i | \(-0.482371\pi\) |
−0.932493 | + | 0.361188i | \(0.882371\pi\) | |||||||
\(350\) | 4.05899 | + | 0.426617i | 0.216962 | + | 0.0228037i | ||||
\(351\) | 4.38326 | + | 6.55505i | 0.233961 | + | 0.349883i | ||||
\(352\) | 1.47155 | − | 3.30515i | 0.0784339 | − | 0.176165i | ||||
\(353\) | 16.3938 | + | 3.48461i | 0.872554 | + | 0.185467i | 0.622362 | − | 0.782729i | \(-0.286173\pi\) |
0.250192 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(354\) | 14.7790 | − | 1.88187i | 0.785493 | − | 0.100020i | ||||
\(355\) | 2.47909 | − | 1.10376i | 0.131577 | − | 0.0585817i | ||||
\(356\) | 1.94163 | − | 5.97572i | 0.102906 | − | 0.316712i | ||||
\(357\) | 2.48767 | − | 5.93435i | 0.131661 | − | 0.314079i | ||||
\(358\) | 5.35545 | + | 12.0285i | 0.283044 | + | 0.635728i | ||||
\(359\) | 1.47596 | + | 6.94385i | 0.0778982 | + | 0.366482i | 0.999780 | − | 0.0209898i | \(-0.00668174\pi\) |
−0.921882 | + | 0.387472i | \(0.873348\pi\) | |||||||
\(360\) | 2.79151 | + | 1.09885i | 0.147125 | + | 0.0579147i | ||||
\(361\) | 17.0050 | + | 7.57110i | 0.894998 | + | 0.398479i | ||||
\(362\) | −13.3437 | + | 14.8197i | −0.701331 | + | 0.778907i | ||||
\(363\) | −0.674641 | + | 3.55569i | −0.0354095 | + | 0.186626i | ||||
\(364\) | 3.64059 | − | 5.01084i | 0.190819 | − | 0.262640i | ||||
\(365\) | 1.13392 | + | 10.7885i | 0.0593521 | + | 0.564697i | ||||
\(366\) | 10.7075 | − | 15.4386i | 0.559688 | − | 0.806987i | ||||
\(367\) | −15.3589 | + | 8.86747i | −0.801729 | + | 0.462878i | −0.844075 | − | 0.536225i | \(-0.819850\pi\) |
0.0423466 | + | 0.999103i | \(0.486517\pi\) | |||||||
\(368\) | −5.09792 | + | 3.70386i | −0.265748 | + | 0.193077i | ||||
\(369\) | −16.2602 | + | 10.3642i | −0.846473 | + | 0.539540i | ||||
\(370\) | 7.15335 | − | 2.32426i | 0.371885 | − | 0.120833i | ||||
\(371\) | −42.8749 | −2.22596 | ||||||||
\(372\) | 7.55916 | − | 5.98824i | 0.391924 | − | 0.310476i | ||||
\(373\) | 19.7139 | 1.02075 | 0.510373 | − | 0.859953i | \(-0.329507\pi\) | ||||
0.510373 | + | 0.859953i | \(0.329507\pi\) | |||||||
\(374\) | −3.13206 | + | 1.01767i | −0.161955 | + | 0.0526224i | ||||
\(375\) | 1.37859 | − | 1.04856i | 0.0711903 | − | 0.0541474i | ||||
\(376\) | 7.93557 | − | 5.76553i | 0.409246 | − | 0.297335i | ||||
\(377\) | 0.998467 | − | 0.576465i | 0.0514237 | − | 0.0296895i | ||||
\(378\) | −15.1960 | − | 14.7930i | −0.781598 | − | 0.760868i | ||||
\(379\) | −1.53231 | − | 14.5790i | −0.0787096 | − | 0.748872i | −0.960697 | − | 0.277599i | \(-0.910461\pi\) |
0.881988 | − | 0.471273i | \(-0.156205\pi\) | |||||||
\(380\) | −3.60491 | + | 4.96174i | −0.184928 | + | 0.254532i | ||||
\(381\) | 7.22028 | + | 1.36994i | 0.369906 | + | 0.0701843i | ||||
\(382\) | −2.79665 | + | 3.10599i | −0.143089 | + | 0.158916i | ||||
\(383\) | 18.5617 | + | 8.26419i | 0.948458 | + | 0.422281i | 0.821870 | − | 0.569675i | \(-0.192931\pi\) |
0.126588 | + | 0.991955i | \(0.459598\pi\) | |||||||
\(384\) | 0.498978 | − | 1.65862i | 0.0254633 | − | 0.0846411i | ||||
\(385\) | 3.07004 | + | 14.4434i | 0.156464 | + | 0.736105i | ||||
\(386\) | −1.21604 | − | 2.73127i | −0.0618948 | − | 0.139018i | ||||
\(387\) | 26.4949 | + | 13.7845i | 1.34681 | + | 0.700707i | ||||
\(388\) | 3.85150 | − | 11.8537i | 0.195530 | − | 0.601780i | ||||
\(389\) | 19.6680 | − | 8.75676i | 0.997207 | − | 0.443985i | 0.157790 | − | 0.987473i | \(-0.449563\pi\) |
0.839417 | + | 0.543488i | \(0.182897\pi\) | |||||||
\(390\) | −0.332019 | − | 2.60746i | −0.0168124 | − | 0.132034i | ||||
\(391\) | 5.61051 | + | 1.19255i | 0.283736 | + | 0.0603099i | ||||
\(392\) | −3.92803 | + | 8.82249i | −0.198395 | + | 0.445603i | ||||
\(393\) | −2.13664 | − | 2.27078i | −0.107779 | − | 0.114546i | ||||
\(394\) | 2.01943 | + | 0.212250i | 0.101737 | + | 0.0106930i | ||||
\(395\) | −10.5880 | − | 7.69266i | −0.532742 | − | 0.387060i | ||||
\(396\) | −0.660089 | + | 10.8337i | −0.0331707 | + | 0.544416i | ||||
\(397\) | −15.9955 | + | 27.7050i | −0.802790 | + | 1.39047i | 0.114984 | + | 0.993367i | \(0.463318\pi\) |
−0.917773 | + | 0.397105i | \(0.870015\pi\) | |||||||
\(398\) | −6.86638 | − | 11.8929i | −0.344180 | − | 0.596138i | ||||
\(399\) | 37.0622 | − | 22.4958i | 1.85543 | − | 1.12620i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | −3.66934 | − | 11.2931i | −0.183238 | − | 0.563949i | 0.816676 | − | 0.577097i | \(-0.195815\pi\) |
−0.999914 | + | 0.0131485i | \(0.995815\pi\) | |||||||
\(402\) | 0.910151 | − | 10.9688i | 0.0453942 | − | 0.547073i | ||||
\(403\) | −7.78520 | − | 3.28395i | −0.387809 | − | 0.163585i | ||||
\(404\) | 8.01223i | 0.398624i | ||||||||
\(405\) | −8.99870 | − | 0.152884i | −0.447149 | − | 0.00759685i | ||||
\(406\) | −2.30426 | + | 2.07476i | −0.114358 | + | 0.102969i | ||||
\(407\) | 15.9950 | + | 22.0152i | 0.792841 | + | 1.09125i | ||||
\(408\) | −1.42589 | + | 0.672696i | −0.0705921 | + | 0.0333034i | ||||
\(409\) | −17.2967 | − | 9.98626i | −0.855267 | − | 0.493789i | 0.00715718 | − | 0.999974i | \(-0.497722\pi\) |
−0.862425 | + | 0.506185i | \(0.831055\pi\) | |||||||
\(410\) | 6.39226 | − | 0.671854i | 0.315691 | − | 0.0331805i | ||||
\(411\) | 5.98577 | + | 5.15645i | 0.295256 | + | 0.254349i | ||||
\(412\) | −1.76372 | + | 16.7807i | −0.0868923 | + | 0.826725i | ||||
\(413\) | 26.0888 | + | 23.4904i | 1.28374 | + | 1.15589i | ||||
\(414\) | 10.4302 | − | 15.7663i | 0.512618 | − | 0.774873i | ||||
\(415\) | 1.50837 | − | 7.09634i | 0.0740431 | − | 0.348345i | ||||
\(416\) | −1.48441 | + | 0.315521i | −0.0727791 | + | 0.0154697i | ||||
\(417\) | −0.601965 | − | 1.72312i | −0.0294783 | − | 0.0843815i | ||||
\(418\) | −21.1030 | − | 6.85678i | −1.03218 | − | 0.335376i | ||||
\(419\) | −1.39230 | − | 0.452387i | −0.0680185 | − | 0.0221006i | 0.274810 | − | 0.961499i | \(-0.411385\pi\) |
−0.342829 | + | 0.939398i | \(0.611385\pi\) | |||||||
\(420\) | 2.33139 | + | 6.67359i | 0.113760 | + | 0.325638i | ||||
\(421\) | 3.89011 | − | 0.826869i | 0.189593 | − | 0.0402991i | −0.112137 | − | 0.993693i | \(-0.535769\pi\) |
0.301729 | + | 0.953394i | \(0.402436\pi\) | |||||||
\(422\) | 0.632738 | − | 2.97680i | 0.0308012 | − | 0.144908i | ||||
\(423\) | −16.2360 | + | 24.5423i | −0.789421 | + | 1.19329i | ||||
\(424\) | 7.80680 | + | 7.02928i | 0.379132 | + | 0.341372i | ||||
\(425\) | −0.0951473 | + | 0.905266i | −0.00461532 | + | 0.0439119i | ||||
\(426\) | 3.56112 | + | 3.06774i | 0.172537 | + | 0.148632i | ||||
\(427\) | 44.0296 | − | 4.62770i | 2.13074 | − | 0.223950i | ||||
\(428\) | −13.6090 | − | 7.85714i | −0.657814 | − | 0.379789i | ||||
\(429\) | 8.60072 | − | 4.05758i | 0.415247 | − | 0.195902i | ||||
\(430\) | −5.85164 | − | 8.05410i | −0.282191 | − | 0.388403i | ||||
\(431\) | −21.8945 | + | 19.7139i | −1.05462 | + | 0.949584i | −0.998806 | − | 0.0488569i | \(-0.984442\pi\) |
−0.0558144 | + | 0.998441i | \(0.517775\pi\) | |||||||
\(432\) | 0.341654 | + | 5.18491i | 0.0164379 | + | 0.249459i | ||||
\(433\) | 24.6658i | 1.18536i | 0.805438 | + | 0.592680i | \(0.201930\pi\) | ||||
−0.805438 | + | 0.592680i | \(0.798070\pi\) | |||||||
\(434\) | 22.3162 | + | 4.28570i | 1.07121 | + | 0.205720i | ||||
\(435\) | −0.108813 | + | 1.31137i | −0.00521716 | + | 0.0628753i | ||||
\(436\) | −2.59598 | − | 7.98961i | −0.124325 | − | 0.382633i | ||||
\(437\) | 25.8597 | + | 28.7201i | 1.23704 | + | 1.37387i | ||||
\(438\) | −16.0620 | + | 9.74920i | −0.767471 | + | 0.465835i | ||||
\(439\) | 3.75883 | + | 6.51048i | 0.179399 | + | 0.310728i | 0.941675 | − | 0.336524i | \(-0.109251\pi\) |
−0.762276 | + | 0.647252i | \(0.775918\pi\) | |||||||
\(440\) | 1.80897 | − | 3.13323i | 0.0862393 | − | 0.149371i | ||||
\(441\) | 1.76198 | − | 28.9186i | 0.0839040 | − | 1.37708i | ||||
\(442\) | 1.11756 | + | 0.811951i | 0.0531567 | + | 0.0386206i | ||||
\(443\) | 21.9356 | + | 2.30552i | 1.04219 | + | 0.109539i | 0.610126 | − | 0.792304i | \(-0.291119\pi\) |
0.432064 | + | 0.901843i | \(0.357785\pi\) | |||||||
\(444\) | 8.92738 | + | 9.48787i | 0.423675 | + | 0.450275i | ||||
\(445\) | 2.55562 | − | 5.74002i | 0.121148 | − | 0.272103i | ||||
\(446\) | 10.9145 | + | 2.31995i | 0.516817 | + | 0.109853i | ||||
\(447\) | −5.13061 | − | 40.2924i | −0.242669 | − | 1.90577i | ||||
\(448\) | 3.72850 | − | 1.66003i | 0.176155 | − | 0.0784293i | ||||
\(449\) | −3.36491 | + | 10.3561i | −0.158800 | + | 0.488737i | −0.998526 | − | 0.0542738i | \(-0.982716\pi\) |
0.839726 | + | 0.543010i | \(0.182716\pi\) | |||||||
\(450\) | 2.66135 | + | 1.38463i | 0.125457 | + | 0.0652719i | ||||
\(451\) | 9.45835 | + | 21.2438i | 0.445376 | + | 1.00033i | ||||
\(452\) | 3.99004 | + | 18.7717i | 0.187676 | + | 0.882945i | ||||
\(453\) | −0.643711 | + | 2.13972i | −0.0302442 | + | 0.100533i | ||||
\(454\) | 16.3586 | + | 7.28333i | 0.767748 | + | 0.341824i | ||||
\(455\) | 4.14442 | − | 4.60285i | 0.194294 | − | 0.215785i | ||||
\(456\) | −10.4366 | − | 1.98018i | −0.488736 | − | 0.0927306i | ||||
\(457\) | 13.5484 | − | 18.6478i | 0.633768 | − | 0.872307i | −0.364496 | − | 0.931205i | \(-0.618759\pi\) |
0.998264 | + | 0.0588978i | \(0.0187586\pi\) | |||||||
\(458\) | −0.744930 | − | 7.08754i | −0.0348083 | − | 0.331179i | ||||
\(459\) | 3.29924 | − | 3.38913i | 0.153995 | − | 0.158191i | ||||
\(460\) | −5.45716 | + | 3.15069i | −0.254441 | + | 0.146902i | ||||
\(461\) | 19.7483 | − | 14.3480i | 0.919769 | − | 0.668251i | −0.0236977 | − | 0.999719i | \(-0.507544\pi\) |
0.943466 | + | 0.331468i | \(0.107544\pi\) | |||||||
\(462\) | −20.3564 | + | 15.4831i | −0.947067 | + | 0.720341i | ||||
\(463\) | −9.07616 | + | 2.94902i | −0.421805 | + | 0.137053i | −0.512226 | − | 0.858851i | \(-0.671179\pi\) |
0.0904208 | + | 0.995904i | \(0.471179\pi\) | |||||||
\(464\) | 0.759720 | 0.0352691 | ||||||||
\(465\) | 8.14369 | − | 5.16529i | 0.377655 | − | 0.239535i | ||||
\(466\) | 1.77266 | 0.0821171 | ||||||||
\(467\) | −8.35410 | + | 2.71441i | −0.386582 | + | 0.125608i | −0.495858 | − | 0.868403i | \(-0.665147\pi\) |
0.109277 | + | 0.994011i | \(0.465147\pi\) | |||||||
\(468\) | 3.83915 | − | 2.44707i | 0.177465 | − | 0.113116i | ||||
\(469\) | 20.9821 | − | 15.2444i | 0.968864 | − | 0.703921i | ||||
\(470\) | 8.49476 | − | 4.90445i | 0.391834 | − | 0.226226i | ||||
\(471\) | −12.2754 | + | 17.6993i | −0.565621 | + | 0.815541i | ||||
\(472\) | −0.899105 | − | 8.55442i | −0.0413847 | − | 0.393749i | ||||
\(473\) | 21.1709 | − | 29.1393i | 0.973440 | − | 1.33982i | ||||
\(474\) | 4.22558 | − | 22.2709i | 0.194088 | − | 1.02294i | ||||
\(475\) | −4.10381 | + | 4.55774i | −0.188296 | + | 0.209123i | ||||
\(476\) | −3.39388 | − | 1.51105i | −0.155558 | − | 0.0692589i | ||||
\(477\) | −29.3250 | − | 11.5436i | −1.34270 | − | 0.528543i | ||||
\(478\) | 1.08518 | + | 5.10535i | 0.0496348 | + | 0.233513i | ||||
\(479\) | 7.12197 | + | 15.9962i | 0.325411 | + | 0.730885i | 0.999973 | − | 0.00733307i | \(-0.00233421\pi\) |
−0.674562 | + | 0.738218i | \(0.735668\pi\) | |||||||
\(480\) | 0.669617 | − | 1.59738i | 0.0305637 | − | 0.0729099i | ||||
\(481\) | 3.52724 | − | 10.8557i | 0.160828 | − | 0.494978i | ||||
\(482\) | 1.68912 | − | 0.752045i | 0.0769373 | − | 0.0342547i | ||||
\(483\) | 44.1883 | − | 5.62669i | 2.01064 | − | 0.256023i | ||||
\(484\) | 2.04384 | + | 0.434433i | 0.0929020 | + | 0.0197469i | ||||
\(485\) | 5.06945 | − | 11.3862i | 0.230192 | − | 0.517019i | ||||
\(486\) | −6.41074 | − | 14.2092i | −0.290797 | − | 0.644544i | ||||
\(487\) | 21.8795 | + | 2.29963i | 0.991455 | + | 0.104206i | 0.586345 | − | 0.810062i | \(-0.300566\pi\) |
0.405111 | + | 0.914268i | \(0.367233\pi\) | |||||||
\(488\) | −8.77575 | − | 6.37595i | −0.397259 | − | 0.288626i | ||||
\(489\) | −0.851339 | − | 38.8093i | −0.0384989 | − | 1.75502i | ||||
\(490\) | −4.82871 | + | 8.36357i | −0.218139 | + | 0.377828i | ||||
\(491\) | 1.16691 | + | 2.02115i | 0.0526619 | + | 0.0912131i | 0.891155 | − | 0.453700i | \(-0.149896\pi\) |
−0.838493 | + | 0.544913i | \(0.816563\pi\) | |||||||
\(492\) | 5.77646 | + | 9.51681i | 0.260423 | + | 0.429051i | ||||
\(493\) | −0.462729 | − | 0.513913i | −0.0208403 | − | 0.0231455i | ||||
\(494\) | 2.87613 | + | 8.85180i | 0.129403 | + | 0.398261i | ||||
\(495\) | −1.78891 | + | 10.7054i | −0.0804054 | + | 0.481171i | ||||
\(496\) | −3.36077 | − | 4.43906i | −0.150903 | − | 0.199320i | ||||
\(497\) | 11.0756i | 0.496808i | ||||||||
\(498\) | 12.2310 | − | 2.88151i | 0.548083 | − | 0.129124i | ||||
\(499\) | −2.81885 | + | 2.53810i | −0.126189 | + | 0.113621i | −0.729809 | − | 0.683651i | \(-0.760391\pi\) |
0.603620 | + | 0.797272i | \(0.293724\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | 3.89961 | + | 8.26587i | 0.174222 | + | 0.369292i | ||||
\(502\) | −7.32713 | − | 4.23032i | −0.327026 | − | 0.188808i | ||||
\(503\) | −15.8829 | + | 1.66936i | −0.708184 | + | 0.0744331i | −0.451771 | − | 0.892134i | \(-0.649207\pi\) |
−0.256413 | + | 0.966567i | \(0.582541\pi\) | |||||||
\(504\) | −8.73108 | + | 8.58400i | −0.388913 | + | 0.382362i | ||||
\(505\) | −0.837506 | + | 7.96834i | −0.0372685 | + | 0.354587i | ||||
\(506\) | −16.9422 | − | 15.2549i | −0.753174 | − | 0.678161i | ||||
\(507\) | 16.2448 | + | 8.90973i | 0.721456 | + | 0.395695i | ||||
\(508\) | 0.882170 | − | 4.15028i | 0.0391400 | − | 0.184139i | ||||
\(509\) | −24.1466 | + | 5.13251i | −1.07028 | + | 0.227494i | −0.709176 | − | 0.705032i | \(-0.750933\pi\) |
−0.361102 | + | 0.932526i | \(0.617599\pi\) | |||||||
\(510\) | −1.48839 | + | 0.519965i | −0.0659072 | + | 0.0230244i | ||||
\(511\) | −42.1073 | − | 13.6815i | −1.86272 | − | 0.605234i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | 31.4060 | − | 5.40783i | 1.38661 | − | 0.238762i | ||||
\(514\) | −27.8177 | + | 5.91284i | −1.22699 | + | 0.260804i | ||||
\(515\) | −3.50812 | + | 16.5044i | −0.154586 | + | 0.727271i | ||||
\(516\) | 8.29207 | − | 15.1186i | 0.365038 | − | 0.665560i | ||||
\(517\) | 26.3728 | + | 23.7461i | 1.15987 | + | 1.04435i | ||||
\(518\) | −3.20879 | + | 30.5296i | −0.140986 | + | 1.34139i | ||||
\(519\) | −6.83130 | + | 7.92998i | −0.299861 | + | 0.348087i | ||||
\(520\) | −1.50926 | + | 0.158629i | −0.0661854 | + | 0.00695636i | ||||
\(521\) | −28.8955 | − | 16.6828i | −1.26593 | − | 0.730887i | −0.291718 | − | 0.956504i | \(-0.594227\pi\) |
−0.974216 | + | 0.225617i | \(0.927560\pi\) | |||||||
\(522\) | −2.13464 | + | 0.798676i | −0.0934307 | + | 0.0349571i | ||||
\(523\) | 14.0585 | + | 19.3498i | 0.614733 | + | 0.846108i | 0.996956 | − | 0.0779624i | \(-0.0248414\pi\) |
−0.382223 | + | 0.924070i | \(0.624841\pi\) | |||||||
\(524\) | −1.33778 | + | 1.20454i | −0.0584410 | + | 0.0526205i | ||||
\(525\) | 1.62104 | + | 6.88073i | 0.0707481 | + | 0.300300i | ||||
\(526\) | − | 7.85841i | − | 0.342643i | ||||||
\(527\) | −0.955828 | + | 4.97712i | −0.0416365 | + | 0.216807i | ||||
\(528\) | 6.24500 | + | 0.518188i | 0.271779 | + | 0.0225512i | ||||
\(529\) | 5.16287 | + | 15.8897i | 0.224473 | + | 0.690856i | ||||
\(530\) | 7.02928 | + | 7.80680i | 0.305332 | + | 0.339106i | ||||
\(531\) | 11.5193 | + | 23.0908i | 0.499897 | + | 1.00205i | ||||
\(532\) | −12.5156 | − | 21.6776i | −0.542618 | − | 0.939842i | ||||
\(533\) | 4.87708 | − | 8.44734i | 0.211250 | − | 0.365895i | ||||
\(534\) | 10.8803 | − | 0.238675i | 0.470835 | − | 0.0103285i | ||||
\(535\) | −12.7131 | − | 9.23662i | −0.549636 | − | 0.399334i | ||||
\(536\) | −6.31978 | − | 0.664236i | −0.272973 | − | 0.0286906i | ||||
\(537\) | −16.6092 | + | 15.6280i | −0.716739 | + | 0.674398i | ||||
\(538\) | −10.2458 | + | 23.0124i | −0.441728 | + | 0.992137i | ||||
\(539\) | −34.1765 | − | 7.26443i | −1.47208 | − | 0.312901i | ||||
\(540\) | −0.202188 | + | 5.19222i | −0.00870077 | + | 0.223437i | ||||
\(541\) | −22.8778 | + | 10.1858i | −0.983592 | + | 0.437924i | −0.834565 | − | 0.550910i | \(-0.814281\pi\) |
−0.149027 | + | 0.988833i | \(0.547614\pi\) | |||||||
\(542\) | −3.36086 | + | 10.3437i | −0.144361 | + | 0.444299i | ||||
\(543\) | −31.8547 | − | 13.3534i | −1.36702 | − | 0.573051i | ||||
\(544\) | 0.370233 | + | 0.831557i | 0.0158736 | + | 0.0356527i | ||||
\(545\) | −1.74662 | − | 8.21719i | −0.0748169 | − | 0.351986i | ||||
\(546\) | 10.2731 | + | 3.09054i | 0.439647 | + | 0.132263i | ||||
\(547\) | −35.4599 | − | 15.7878i | −1.51616 | − | 0.675036i | −0.531106 | − | 0.847305i | \(-0.678223\pi\) |
−0.985050 | + | 0.172269i | \(0.944890\pi\) | |||||||
\(548\) | 3.05215 | − | 3.38976i | 0.130382 | − | 0.144803i | ||||
\(549\) | 31.3607 | + | 8.68924i | 1.33844 | + | 0.370848i | ||||
\(550\) | 2.12657 | − | 2.92698i | 0.0906774 | − | 0.124807i | ||||
\(551\) | −0.487040 | − | 4.63387i | −0.0207486 | − | 0.197410i | ||||
\(552\) | −8.96843 | − | 6.22008i | −0.381722 | − | 0.264744i | ||||
\(553\) | 46.2586 | − | 26.7074i | 1.96711 | − | 1.13571i | ||||
\(554\) | −9.14050 | + | 6.64096i | −0.388342 | + | 0.282147i | ||||
\(555\) | 7.88672 | + | 10.3691i | 0.334773 | + | 0.440142i | ||||
\(556\) | −1.00223 | + | 0.325643i | −0.0425038 | + | 0.0138103i | ||||
\(557\) | 30.8934 | 1.30900 | 0.654499 | − | 0.756063i | \(-0.272880\pi\) | ||||
0.654499 | + | 0.756063i | \(0.272880\pi\) | |||||||
\(558\) | 14.1097 | + | 8.93964i | 0.597310 | + | 0.378445i | ||||
\(559\) | −15.1081 | −0.639003 | ||||||||
\(560\) | 3.88159 | − | 1.26121i | 0.164027 | − | 0.0532957i | ||||
\(561\) | −3.45316 | − | 4.54004i | −0.145793 | − | 0.191681i | ||||
\(562\) | 5.43069 | − | 3.94563i | 0.229080 | − | 0.166436i | ||||
\(563\) | 16.1560 | − | 9.32770i | 0.680896 | − | 0.393116i | −0.119296 | − | 0.992859i | \(-0.538064\pi\) |
0.800193 | + | 0.599743i | \(0.204731\pi\) | |||||||
\(564\) | 13.9605 | + | 9.68235i | 0.587844 | + | 0.407700i | ||||
\(565\) | 2.00601 | + | 19.0859i | 0.0843934 | + | 0.802950i | ||||
\(566\) | −8.72171 | + | 12.0044i | −0.366601 | + | 0.504583i | ||||
\(567\) | 15.5082 | − | 33.2979i | 0.651282 | − | 1.39838i | ||||
\(568\) | 1.81582 | − | 2.01668i | 0.0761903 | − | 0.0846179i | ||||
\(569\) | 32.4767 | + | 14.4596i | 1.36149 | + | 0.606176i | 0.951989 | − | 0.306132i | \(-0.0990349\pi\) |
0.409505 | + | 0.912308i | \(0.365702\pi\) | |||||||
\(570\) | −10.1724 | − | 3.06025i | −0.426075 | − | 0.128180i | ||||
\(571\) | −4.71064 | − | 22.1618i | −0.197134 | − | 0.927443i | −0.959808 | − | 0.280659i | \(-0.909447\pi\) |
0.762673 | − | 0.646784i | \(-0.223886\pi\) | |||||||
\(572\) | −2.23318 | − | 5.01581i | −0.0933740 | − | 0.209722i | ||||
\(573\) | −6.67628 | − | 2.79868i | −0.278905 | − | 0.116917i | ||||
\(574\) | −8.10637 | + | 24.9488i | −0.338353 | + | 1.04134i | ||||
\(575\) | −5.75660 | + | 2.56300i | −0.240067 | + | 0.106885i | ||||
\(576\) | 2.99711 | − | 0.131556i | 0.124880 | − | 0.00548148i | ||||
\(577\) | −36.0102 | − | 7.65420i | −1.49912 | − | 0.318649i | −0.615984 | − | 0.787759i | \(-0.711241\pi\) |
−0.883140 | + | 0.469110i | \(0.844575\pi\) | |||||||
\(578\) | −6.57752 | + | 14.7733i | −0.273589 | + | 0.614490i | ||||
\(579\) | 3.77138 | − | 3.54859i | 0.156733 | − | 0.147474i | ||||
\(580\) | 0.755558 | + | 0.0794124i | 0.0313729 | + | 0.00329742i | ||||
\(581\) | 23.9547 | + | 17.4041i | 0.993810 | + | 0.722045i | ||||
\(582\) | 21.5826 | − | 0.473446i | 0.894627 | − | 0.0196250i | ||||
\(583\) | −19.0034 | + | 32.9149i | −0.787040 | + | 1.36319i | ||||
\(584\) | 5.42398 | + | 9.39460i | 0.224446 | + | 0.388751i | ||||
\(585\) | 4.07391 | − | 2.03236i | 0.168435 | − | 0.0840277i | ||||
\(586\) | 3.57697 | + | 3.97262i | 0.147763 | + | 0.164108i | ||||
\(587\) | 5.36028 | + | 16.4972i | 0.221242 | + | 0.680914i | 0.998651 | + | 0.0519183i | \(0.0165336\pi\) |
−0.777409 | + | 0.628995i | \(0.783466\pi\) | |||||||
\(588\) | −16.6699 | − | 1.38321i | −0.687453 | − | 0.0570424i | ||||
\(589\) | −24.9213 | + | 23.3446i | −1.02686 | + | 0.961898i | ||||
\(590\) | − | 8.60154i | − | 0.354120i | ||||||
\(591\) | 0.806500 | + | 3.42330i | 0.0331750 | + | 0.140816i | ||||
\(592\) | 5.58955 | − | 5.03285i | 0.229729 | − | 0.206849i | ||||
\(593\) | 9.32275 | + | 12.8317i | 0.382839 | + | 0.526933i | 0.956334 | − | 0.292276i | \(-0.0944126\pi\) |
−0.573495 | + | 0.819209i | \(0.694413\pi\) | |||||||
\(594\) | −18.0918 | + | 5.10923i | −0.742315 | + | 0.209634i | ||||
\(595\) | −3.21734 | − | 1.85753i | −0.131898 | − | 0.0761513i | ||||
\(596\) | −23.3222 | + | 2.45126i | −0.955315 | + | 0.100408i | ||||
\(597\) | 15.5243 | − | 18.0211i | 0.635369 | − | 0.737555i | ||||
\(598\) | −0.999584 | + | 9.51041i | −0.0408760 | + | 0.388910i | ||||
\(599\) | −25.1003 | − | 22.6004i | −1.02557 | − | 0.923426i | −0.0284735 | − | 0.999595i | \(-0.509065\pi\) |
−0.997095 | + | 0.0761685i | \(0.975731\pi\) | |||||||
\(600\) | 0.832920 | − | 1.51863i | 0.0340038 | − | 0.0619979i | ||||
\(601\) | −2.64159 | + | 12.4277i | −0.107753 | + | 0.506937i | 0.890860 | + | 0.454278i | \(0.150103\pi\) |
−0.998613 | + | 0.0526588i | \(0.983230\pi\) | |||||||
\(602\) | 39.7436 | − | 8.44777i | 1.61983 | − | 0.344305i | ||||
\(603\) | 18.4554 | − | 4.77749i | 0.751564 | − | 0.194554i | ||||
\(604\) | 1.22692 | + | 0.398651i | 0.0499227 | + | 0.0162209i | ||||
\(605\) | 1.98724 | + | 0.645693i | 0.0807927 | + | 0.0262511i | ||||
\(606\) | −13.1012 | + | 4.57684i | −0.532198 | + | 0.185921i | ||||
\(607\) | −30.1846 | + | 6.41593i | −1.22515 | + | 0.260415i | −0.774668 | − | 0.632368i | \(-0.782083\pi\) |
−0.450487 | + | 0.892783i | \(0.648750\pi\) | |||||||
\(608\) | −1.27513 | + | 5.99902i | −0.0517134 | + | 0.243293i | ||||
\(609\) | −4.70880 | − | 2.58262i | −0.190810 | − | 0.104653i | ||||
\(610\) | −8.06120 | − | 7.25834i | −0.326389 | − | 0.293882i | ||||
\(611\) | 1.55598 | − | 14.8042i | 0.0629483 | − | 0.598913i | ||||
\(612\) | −1.91447 | − | 1.94727i | −0.0773877 | − | 0.0787137i | ||||
\(613\) | 32.8955 | − | 3.45746i | 1.32864 | − | 0.139646i | 0.586531 | − | 0.809927i | \(-0.300493\pi\) |
0.742107 | + | 0.670281i | \(0.233826\pi\) | |||||||
\(614\) | 0.325041 | + | 0.187663i | 0.0131176 | + | 0.00757345i | ||||
\(615\) | 4.75004 | + | 10.0685i | 0.191540 | + | 0.406000i | ||||
\(616\) | 8.67929 | + | 11.9460i | 0.349699 | + | 0.481319i | ||||
\(617\) | −12.0771 | + | 10.8743i | −0.486206 | + | 0.437782i | −0.875418 | − | 0.483366i | \(-0.839414\pi\) |
0.389212 | + | 0.921148i | \(0.372747\pi\) | |||||||
\(618\) | −28.4463 | + | 6.70171i | −1.14428 | + | 0.269582i | ||||
\(619\) | − | 15.9164i | − | 0.639735i | −0.947462 | − | 0.319868i | \(-0.896362\pi\) | ||
0.947462 | − | 0.319868i | \(-0.103638\pi\) | |||||||
\(620\) | −2.87835 | − | 4.76604i | −0.115597 | − | 0.191409i | ||||
\(621\) | 31.7383 | + | 8.04870i | 1.27361 | + | 0.322983i | ||||
\(622\) | 0.0963548 | + | 0.296550i | 0.00386348 | + | 0.0118906i | ||||
\(623\) | 17.1593 | + | 19.0573i | 0.687471 | + | 0.763514i | ||||
\(624\) | −1.36386 | − | 2.24699i | −0.0545982 | − | 0.0899515i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 11.8153 | − | 20.4648i | 0.472236 | − | 0.817936i | ||||
\(627\) | −0.842871 | − | 38.4232i | −0.0336610 | − | 1.53448i | ||||
\(628\) | 10.0608 | + | 7.30961i | 0.401470 | + | 0.291685i | ||||
\(629\) | −6.80894 | − | 0.715649i | −0.271490 | − | 0.0285348i | ||||
\(630\) | −9.58052 | + | 7.62433i | −0.381697 | + | 0.303761i | ||||
\(631\) | −9.57691 | + | 21.5101i | −0.381251 | + | 0.856303i | 0.616376 | + | 0.787452i | \(0.288600\pi\) |
−0.997627 | + | 0.0688515i | \(0.978067\pi\) | |||||||
\(632\) | −12.8015 | − | 2.72105i | −0.509218 | − | 0.108238i | ||||
\(633\) | 5.22893 | − | 0.665822i | 0.207831 | − | 0.0264641i | ||||
\(634\) | 3.73187 | − | 1.66153i | 0.148211 | − | 0.0659879i | ||||
\(635\) | 1.31116 | − | 4.03534i | 0.0520318 | − | 0.160137i | ||||
\(636\) | −7.03439 | + | 16.7806i | −0.278932 | + | 0.665393i | ||||
\(637\) | 5.96106 | + | 13.3888i | 0.236186 | + | 0.530482i | ||||
\(638\) | 0.571471 | + | 2.68856i | 0.0226248 | + | 0.106441i | ||||
\(639\) | −2.98197 | + | 7.57533i | −0.117965 | + | 0.299676i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | 14.0213 | − | 15.5722i | 0.553806 | − | 0.615064i | −0.399623 | − | 0.916679i | \(-0.630859\pi\) |
0.953430 | + | 0.301615i | \(0.0975258\pi\) | |||||||
\(642\) | 5.07369 | − | 26.7409i | 0.200242 | − | 1.05538i | ||||
\(643\) | 3.56059 | − | 4.90072i | 0.140416 | − | 0.193266i | −0.733017 | − | 0.680210i | \(-0.761889\pi\) |
0.873433 | + | 0.486944i | \(0.161889\pi\) | |||||||
\(644\) | −2.68828 | − | 25.5773i | −0.105933 | − | 1.00789i | ||||
\(645\) | 9.82697 | − | 14.1690i | 0.386936 | − | 0.557905i | ||||
\(646\) | 4.83469 | − | 2.79131i | 0.190218 | − | 0.109823i | ||||
\(647\) | −21.4776 | + | 15.6044i | −0.844371 | + | 0.613471i | −0.923588 | − | 0.383386i | \(-0.874758\pi\) |
0.0792172 | + | 0.996857i | \(0.474758\pi\) | |||||||
\(648\) | −8.28291 | + | 3.52044i | −0.325383 | + | 0.138296i | ||||
\(649\) | 29.5967 | − | 9.61657i | 1.16177 | − | 0.377483i | ||||
\(650\) | −1.51757 | −0.0595241 | ||||||||
\(651\) | 5.73997 | + | 38.9383i | 0.224967 | + | 1.52611i | ||||
\(652\) | −22.4119 | −0.877719 | ||||||||
\(653\) | −11.4812 | + | 3.73046i | −0.449293 | + | 0.145984i | −0.524919 | − | 0.851152i | \(-0.675904\pi\) |
0.0756261 | + | 0.997136i | \(0.475904\pi\) | |||||||
\(654\) | 11.5812 | − | 8.80871i | 0.452863 | − | 0.344448i | ||||
\(655\) | −1.45636 | + | 1.05811i | −0.0569046 | + | 0.0413436i | ||||
\(656\) | 5.56636 | − | 3.21374i | 0.217330 | − | 0.125475i | ||||
\(657\) | −25.1165 | − | 20.6946i | −0.979886 | − | 0.807373i | ||||
\(658\) | 4.18465 | + | 39.8143i | 0.163135 | + | 1.55212i | ||||
\(659\) | 17.3549 | − | 23.8870i | 0.676053 | − | 0.930507i | −0.323826 | − | 0.946117i | \(-0.604969\pi\) |
0.999878 | + | 0.0156102i | \(0.00496909\pi\) | |||||||
\(660\) | 6.15662 | + | 1.16813i | 0.239646 | + | 0.0454694i | ||||
\(661\) | −31.1022 | + | 34.5425i | −1.20974 | + | 1.34355i | −0.287088 | + | 0.957904i | \(0.592687\pi\) |
−0.922648 | + | 0.385644i | \(0.873979\pi\) | |||||||
\(662\) | −12.2438 | − | 5.45127i | −0.475867 | − | 0.211870i | ||||
\(663\) | −0.689275 | + | 2.29118i | −0.0267692 | + | 0.0889819i | ||||
\(664\) | −1.50837 | − | 7.09634i | −0.0585362 | − | 0.275391i | ||||
\(665\) | −10.1811 | − | 22.8671i | −0.394805 | − | 0.886746i | ||||
\(666\) | −10.4144 | + | 20.0173i | −0.403551 | + | 0.775655i | ||||
\(667\) | 1.47935 | − | 4.55298i | 0.0572808 | − | 0.176292i | ||||
\(668\) | 4.82053 | − | 2.14624i | 0.186512 | − | 0.0830404i | ||||
\(669\) | 2.44126 | + | 19.1720i | 0.0943844 | + | 0.741233i | ||||
\(670\) | −6.21573 | − | 1.32119i | −0.240135 | − | 0.0510422i | ||||
\(671\) | 15.9625 | − | 35.8524i | 0.616226 | − | 1.38407i | ||||
\(672\) | 4.84423 | + | 5.14837i | 0.186870 | + | 0.198603i | ||||
\(673\) | −25.8039 | − | 2.71210i | −0.994669 | − | 0.104544i | −0.406814 | − | 0.913511i | \(-0.633360\pi\) |
−0.587854 | + | 0.808967i | \(0.700027\pi\) | |||||||
\(674\) | 21.8104 | + | 15.8462i | 0.840105 | + | 0.610372i | ||||
\(675\) | −0.743814 | + | 5.14264i | −0.0286294 | + | 0.197940i | ||||
\(676\) | 5.34849 | − | 9.26385i | 0.205711 | − | 0.356302i | ||||
\(677\) | 11.0710 | + | 19.1756i | 0.425494 | + | 0.736977i | 0.996466 | − | 0.0839919i | \(-0.0267670\pi\) |
−0.570972 | + | 0.820969i | \(0.693434\pi\) | |||||||
\(678\) | −28.4151 | + | 17.2472i | −1.09128 | + | 0.662376i | ||||
\(679\) | 34.0379 | + | 37.8029i | 1.30625 | + | 1.45074i | ||||
\(680\) | 0.281284 | + | 0.865702i | 0.0107867 | + | 0.0331982i | ||||
\(681\) | −2.56473 | + | 30.9092i | −0.0982808 | + | 1.18444i | ||||
\(682\) | 13.1813 | − | 15.2325i | 0.504738 | − | 0.583282i | ||||
\(683\) | 2.20750i | 0.0844677i | 0.999108 | + | 0.0422338i | \(0.0134474\pi\) | ||||
−0.999108 | + | 0.0422338i | \(0.986553\pi\) | |||||||
\(684\) | −2.72380 | − | 18.1964i | −0.104147 | − | 0.695757i | ||||
\(685\) | 3.38976 | − | 3.05215i | 0.129516 | − | 0.116617i | ||||
\(686\) | −6.37504 | − | 8.77449i | −0.243400 | − | 0.335012i | ||||
\(687\) | 11.1636 | − | 5.26669i | 0.425919 | − | 0.200937i | ||||
\(688\) | −8.62164 | − | 4.97771i | −0.328697 | − | 0.189773i | ||||
\(689\) | 15.8549 | − | 1.66642i | 0.604023 | − | 0.0634854i | ||||
\(690\) | −8.26913 | − | 7.12346i | −0.314800 | − | 0.271186i | ||||
\(691\) | −5.20613 | + | 49.5330i | −0.198050 | + | 1.88432i | 0.219417 | + | 0.975631i | \(0.429585\pi\) |
−0.417467 | + | 0.908692i | \(0.637082\pi\) | |||||||
\(692\) | 4.49078 | + | 4.04351i | 0.170714 | + | 0.153711i | ||||
\(693\) | −36.9454 | − | 24.4413i | −1.40344 | − | 0.928447i | ||||
\(694\) | 5.75016 | − | 27.0524i | 0.218273 | − | 1.02689i | ||||
\(695\) | −1.03077 | + | 0.219098i | −0.0390995 | + | 0.00831086i | ||||
\(696\) | 0.433976 | + | 1.24225i | 0.0164498 | + | 0.0470874i | ||||
\(697\) | −5.56428 | − | 1.80794i | −0.210762 | − | 0.0684807i | ||||
\(698\) | −19.2633 | − | 6.25901i | −0.729125 | − | 0.236907i | ||||
\(699\) | 1.01260 | + | 2.89856i | 0.0383001 | + | 0.109634i | ||||
\(700\) | 3.99216 | − | 0.848560i | 0.150890 | − | 0.0320726i | ||||
\(701\) | −1.33306 | + | 6.27154i | −0.0503489 | + | 0.236873i | −0.996125 | − | 0.0879456i | \(-0.971970\pi\) |
0.945776 | + | 0.324818i | \(0.105303\pi\) | |||||||
\(702\) | 6.19435 | + | 4.87972i | 0.233791 | + | 0.184173i | ||||
\(703\) | −34.2809 | − | 30.8667i | −1.29293 | − | 1.16416i | ||||
\(704\) | 0.378178 | − | 3.59812i | 0.0142531 | − | 0.135609i | ||||
\(705\) | 12.8720 | + | 11.0886i | 0.484786 | + | 0.417620i | ||||
\(706\) | 16.6682 | − | 1.75190i | 0.627317 | − | 0.0659337i | ||||
\(707\) | −28.3197 | − | 16.3504i | −1.06507 | − | 0.614919i | ||||
\(708\) | 13.4741 | − | 6.35672i | 0.506388 | − | 0.238900i | ||||
\(709\) | 3.87884 | + | 5.33877i | 0.145673 | + | 0.200502i | 0.875618 | − | 0.483004i | \(-0.160454\pi\) |
−0.729945 | + | 0.683506i | \(0.760454\pi\) | |||||||
\(710\) | 2.01668 | − | 1.81582i | 0.0756845 | − | 0.0681467i | ||||
\(711\) | 38.8300 | − | 5.81242i | 1.45624 | − | 0.217983i | ||||
\(712\) | − | 6.28324i | − | 0.235474i | ||||||
\(713\) | −33.1473 | + | 11.4971i | −1.24138 | + | 0.430570i | ||||
\(714\) | 0.532098 | − | 6.41264i | 0.0199133 | − | 0.239987i | ||||
\(715\) | −1.69665 | − | 5.22176i | −0.0634513 | − | 0.195283i | ||||
\(716\) | 8.81035 | + | 9.78489i | 0.329258 | + | 0.365678i | ||||
\(717\) | −7.72810 | + | 4.69076i | −0.288611 | + | 0.175180i | ||||
\(718\) | 3.54949 | + | 6.14789i | 0.132466 | + | 0.229437i | ||||
\(719\) | −7.51176 | + | 13.0108i | −0.280141 | + | 0.485219i | −0.971419 | − | 0.237370i | \(-0.923715\pi\) |
0.691278 | + | 0.722589i | \(0.257048\pi\) | |||||||
\(720\) | 2.99445 | + | 0.182449i | 0.111596 | + | 0.00679947i | ||||
\(721\) | −55.7130 | − | 40.4779i | −2.07486 | − | 1.50748i | ||||
\(722\) | 18.5123 | + | 1.94572i | 0.688955 | + | 0.0724121i | ||||
\(723\) | 2.19458 | + | 2.33236i | 0.0816173 | + | 0.0867415i | ||||
\(724\) | −8.11110 | + | 18.2178i | −0.301447 | + | 0.677060i | ||||
\(725\) | 0.743119 | + | 0.157955i | 0.0275987 | + | 0.00586629i | ||||
\(726\) | 0.457148 | + | 3.59014i | 0.0169664 | + | 0.133243i | ||||
\(727\) | −4.39587 | + | 1.95717i | −0.163034 | + | 0.0725874i | −0.486631 | − | 0.873608i | \(-0.661774\pi\) |
0.323597 | + | 0.946195i | \(0.395108\pi\) | |||||||
\(728\) | 1.91397 | − | 5.89060i | 0.0709365 | − | 0.218320i | ||||
\(729\) | 19.5721 | − | 18.5992i | 0.724894 | − | 0.688861i | ||||
\(730\) | 4.41226 | + | 9.91010i | 0.163305 | + | 0.366789i | ||||
\(731\) | 1.88408 | + | 8.86392i | 0.0696854 | + | 0.327844i | ||||
\(732\) | 5.41262 | − | 17.9917i | 0.200056 | − | 0.664994i | ||||
\(733\) | −1.31670 | − | 0.586235i | −0.0486336 | − | 0.0216531i | 0.382276 | − | 0.924048i | \(-0.375140\pi\) |
−0.430909 | + | 0.902395i | \(0.641807\pi\) | |||||||
\(734\) | −11.8670 | + | 13.1796i | −0.438019 | + | 0.486469i | ||||
\(735\) | −16.4340 | − | 3.11810i | −0.606175 | − | 0.115013i | ||||
\(736\) | −3.70386 | + | 5.09792i | −0.136526 | + | 0.187912i | ||||
\(737\) | −2.40317 | − | 22.8646i | −0.0885218 | − | 0.842229i | ||||
\(738\) | −12.2617 | + | 14.8816i | −0.451358 | + | 0.547801i | ||||
\(739\) | 40.1286 | − | 23.1682i | 1.47615 | − | 0.852258i | 0.476516 | − | 0.879166i | \(-0.341899\pi\) |
0.999638 | + | 0.0269081i | \(0.00856615\pi\) | |||||||
\(740\) | 6.08500 | − | 4.42101i | 0.223689 | − | 0.162520i | ||||
\(741\) | −12.8310 | + | 9.75930i | −0.471360 | + | 0.358517i | ||||
\(742\) | −40.7765 | + | 13.2491i | −1.49695 | + | 0.486389i | ||||
\(743\) | 1.55250 | 0.0569556 | 0.0284778 | − | 0.999594i | \(-0.490934\pi\) | ||||
0.0284778 | + | 0.999594i | \(0.490934\pi\) | |||||||
\(744\) | 5.33872 | − | 8.03107i | 0.195727 | − | 0.294433i | ||||
\(745\) | −23.4507 | −0.859166 | ||||||||
\(746\) | 18.7490 | − | 6.09192i | 0.686450 | − | 0.223041i | ||||
\(747\) | 11.6984 | + | 18.3534i | 0.428022 | + | 0.671515i | ||||
\(748\) | −2.66429 | + | 1.93572i | −0.0974161 | + | 0.0707769i | ||||
\(749\) | 55.5430 | − | 32.0677i | 2.02950 | − | 1.17173i | ||||
\(750\) | 0.987098 | − | 1.42325i | 0.0360437 | − | 0.0519697i | ||||
\(751\) | 2.22312 | + | 21.1516i | 0.0811229 | + | 0.771833i | 0.957154 | + | 0.289579i | \(0.0935152\pi\) |
−0.876031 | + | 0.482254i | \(0.839818\pi\) | |||||||
\(752\) | 5.76553 | − | 7.93557i | 0.210247 | − | 0.289381i | ||||
\(753\) | 2.73169 | − | 14.3974i | 0.0995485 | − | 0.524670i | ||||
\(754\) | 0.771461 | − | 0.856794i | 0.0280949 | − | 0.0312026i | ||||
\(755\) | 1.17853 | + | 0.524715i | 0.0428911 | + | 0.0190963i | ||||
\(756\) | −19.0235 | − | 9.37312i | −0.691879 | − | 0.340897i | ||||
\(757\) | 1.50186 | + | 7.06571i | 0.0545862 | + | 0.256808i | 0.996976 | − | 0.0777086i | \(-0.0247604\pi\) |
−0.942390 | + | 0.334516i | \(0.891427\pi\) | |||||||
\(758\) | −5.96247 | − | 13.3919i | −0.216567 | − | 0.486416i | ||||
\(759\) | 15.2660 | − | 36.4170i | 0.554119 | − | 1.32186i | ||||
\(760\) | −1.89522 | + | 5.83287i | −0.0687467 | + | 0.211581i | ||||
\(761\) | 24.2538 | − | 10.7985i | 0.879199 | − | 0.391445i | 0.0830503 | − | 0.996545i | \(-0.473534\pi\) |
0.796149 | + | 0.605101i | \(0.206867\pi\) | |||||||
\(762\) | 7.29023 | − | 0.928297i | 0.264097 | − | 0.0336286i | ||||
\(763\) | 33.5372 | + | 7.12856i | 1.21413 | + | 0.258071i | ||||
\(764\) | −1.69997 | + | 3.81819i | −0.0615026 | + | 0.138137i | ||||
\(765\) | −1.70043 | − | 2.13672i | −0.0614793 | − | 0.0772532i | ||||
\(766\) | 20.2070 | + | 2.12384i | 0.730108 | + | 0.0767375i | ||||
\(767\) | −10.5605 | − | 7.67263i | −0.381316 | − | 0.277042i | ||||
\(768\) | −0.0379860 | − | 1.73163i | −0.00137070 | − | 0.0624850i | ||||
\(769\) | −11.1980 | + | 19.3954i | −0.403808 | + | 0.699417i | −0.994182 | − | 0.107713i | \(-0.965647\pi\) |
0.590374 | + | 0.807130i | \(0.298980\pi\) | |||||||
\(770\) | 7.38304 | + | 12.7878i | 0.266066 | + | 0.460841i | ||||
\(771\) | −25.5587 | − | 42.1084i | −0.920474 | − | 1.51650i | ||||
\(772\) | −2.00053 | − | 2.22182i | −0.0720007 | − | 0.0799649i | ||||
\(773\) | −5.07522 | − | 15.6199i | −0.182543 | − | 0.561809i | 0.817355 | − | 0.576135i | \(-0.195440\pi\) |
−0.999897 | + | 0.0143259i | \(0.995440\pi\) | |||||||
\(774\) | 29.4578 | + | 4.92250i | 1.05884 | + | 0.176935i | ||||
\(775\) | −2.36440 | − | 5.04080i | −0.0849316 | − | 0.181071i | ||||
\(776\) | − | 12.4637i | − | 0.447421i | ||||||
\(777\) | −51.7533 | + | 12.1926i | −1.85664 | + | 0.437408i | ||||
\(778\) | 15.9994 | − | 14.4059i | 0.573606 | − | 0.516477i | ||||
\(779\) | −23.1705 | − | 31.8914i | −0.830169 | − | 1.14263i | ||||
\(780\) | −1.12152 | − | 2.37724i | −0.0401568 | − | 0.0851189i | ||||
\(781\) | 8.50267 | + | 4.90902i | 0.304249 | + | 0.175658i | ||||
\(782\) | 5.70443 | − | 0.599560i | 0.203990 | − | 0.0214402i | ||||
\(783\) | −2.52532 | − | 3.03422i | −0.0902477 | − | 0.108434i | ||||
\(784\) | −1.00948 | + | 9.60452i | −0.0360527 | + | 0.343018i | ||||
\(785\) | 9.24164 | + | 8.32121i | 0.329848 | + | 0.296997i | ||||
\(786\) | −2.73377 | − | 1.49939i | −0.0975105 | − | 0.0534813i | ||||
\(787\) | 5.21614 | − | 24.5400i | 0.185935 | − | 0.874756i | −0.781946 | − | 0.623347i | \(-0.785773\pi\) |
0.967881 | − | 0.251410i | \(-0.0808941\pi\) | |||||||
\(788\) | 1.98618 | − | 0.422175i | 0.0707547 | − | 0.0150394i | ||||
\(789\) | 12.8496 | − | 4.48897i | 0.457459 | − | 0.159811i | ||||
\(790\) | −12.4470 | − | 4.04427i | −0.442844 | − | 0.143889i | ||||
\(791\) | −74.4918 | − | 24.2039i | −2.64862 | − | 0.860590i | ||||
\(792\) | 2.72003 | + | 10.5075i | 0.0966519 | + | 0.373367i | ||||
\(793\) | −16.1020 | + | 3.42259i | −0.571799 | + | 0.121540i | ||||
\(794\) | −6.65129 | + | 31.2919i | −0.236045 | + | 1.11051i | ||||
\(795\) | −8.74990 | + | 15.9534i | −0.310327 | + | 0.565808i | ||||
\(796\) | −10.2054 | − | 9.18901i | −0.361722 | − | 0.325696i | ||||
\(797\) | −5.01908 | + | 47.7534i | −0.177785 | + | 1.69151i | 0.434340 | + | 0.900749i | \(0.356982\pi\) |
−0.612125 | + | 0.790761i | \(0.709685\pi\) | |||||||
\(798\) | 28.2967 | − | 32.8476i | 1.00169 | − | 1.16279i | ||||
\(799\) | −8.87967 | + | 0.933291i | −0.314140 | + | 0.0330175i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | 6.60542 | + | 17.6545i | 0.233391 | + | 0.623790i | ||||
\(802\) | −6.97950 | − | 9.60645i | −0.246455 | − | 0.339216i | ||||
\(803\) | −29.1664 | + | 26.2615i | −1.02926 | + | 0.926750i | ||||
\(804\) | −2.52394 | − | 10.7132i | −0.0890124 | − | 0.377825i | ||||
\(805\) | − | 25.7181i | − | 0.906445i | ||||||
\(806\) | −8.41897 | − | 0.717464i | −0.296545 | − | 0.0252716i | ||||
\(807\) | −43.4814 | − | 3.60793i | −1.53062 | − | 0.127005i | ||||
\(808\) | 2.47592 | + | 7.62009i | 0.0871024 | + | 0.268074i | ||||
\(809\) | 20.4160 | + | 22.6742i | 0.717787 | + | 0.797184i | 0.986101 | − | 0.166148i | \(-0.0531329\pi\) |
−0.268313 | + | 0.963332i | \(0.586466\pi\) | |||||||
\(810\) | −8.60552 | + | 2.63535i | −0.302367 | + | 0.0925968i | ||||
\(811\) | 5.64396 | + | 9.77563i | 0.198186 | + | 0.343269i | 0.947940 | − | 0.318448i | \(-0.103162\pi\) |
−0.749754 | + | 0.661717i | \(0.769828\pi\) | |||||||
\(812\) | −1.55034 | + | 2.68527i | −0.0544064 | + | 0.0942346i | ||||
\(813\) | −18.8332 | + | 0.413135i | −0.660510 | + | 0.0144893i | ||||
\(814\) | 22.0152 | + | 15.9950i | 0.771632 | + | 0.560623i | ||||
\(815\) | −22.2892 | − | 2.34268i | −0.780755 | − | 0.0820607i | ||||
\(816\) | −1.14823 | + | 1.08040i | −0.0401960 | + | 0.0378214i | ||||
\(817\) | −24.8341 | + | 55.7783i | −0.868836 | + | 1.95144i | ||||
\(818\) | −19.5361 | − | 4.15252i | −0.683063 | − | 0.145190i | ||||
\(819\) | 0.814822 | + | 18.5634i | 0.0284722 | + | 0.648656i | ||||
\(820\) | 5.87179 | − | 2.61429i | 0.205052 | − | 0.0912949i | ||||
\(821\) | 5.40345 | − | 16.6301i | 0.188582 | − | 0.580394i | −0.811410 | − | 0.584477i | \(-0.801300\pi\) |
0.999992 | + | 0.00408290i | \(0.00129963\pi\) | |||||||
\(822\) | 7.28623 | + | 3.05437i | 0.254137 | + | 0.106534i | ||||
\(823\) | 3.95567 | + | 8.88459i | 0.137886 | + | 0.309697i | 0.969269 | − | 0.246002i | \(-0.0791171\pi\) |
−0.831383 | + | 0.555700i | \(0.812450\pi\) | |||||||
\(824\) | 3.50812 | + | 16.5044i | 0.122211 | + | 0.574958i | ||||
\(825\) | 6.00079 | + | 1.80527i | 0.208921 | + | 0.0628515i | ||||
\(826\) | 32.0708 | + | 14.2789i | 1.11589 | + | 0.496825i | ||||
\(827\) | 29.6184 | − | 32.8946i | 1.02993 | − | 1.14386i | 0.0404533 | − | 0.999181i | \(-0.487120\pi\) |
0.989479 | − | 0.144675i | \(-0.0462135\pi\) | |||||||
\(828\) | 5.04767 | − | 18.2178i | 0.175419 | − | 0.633112i | ||||
\(829\) | −3.36160 | + | 4.62684i | −0.116753 | + | 0.160697i | −0.863394 | − | 0.504531i | \(-0.831666\pi\) |
0.746641 | + | 0.665228i | \(0.231666\pi\) | |||||||
\(830\) | −0.758341 | − | 7.21513i | −0.0263224 | − | 0.250441i | ||||
\(831\) | −16.0803 | − | 11.1525i | −0.557818 | − | 0.386876i | ||||
\(832\) | −1.31426 | + | 0.758786i | −0.0455636 | + | 0.0263062i | ||||
\(833\) | 7.11182 | − | 5.16704i | 0.246410 | − | 0.179027i | ||||
\(834\) | −1.10498 | − | 1.45277i | −0.0382622 | − | 0.0503052i | ||||
\(835\) | 5.01847 | − | 1.63060i | 0.173671 | − | 0.0564292i | ||||
\(836\) | −22.1890 | −0.767423 | ||||||||
\(837\) | −6.55772 | + | 28.1779i | −0.226668 | + | 0.973972i | ||||
\(838\) | −1.46396 | −0.0505715 | ||||||||
\(839\) | 19.8627 | − | 6.45378i | 0.685736 | − | 0.222809i | 0.0546313 | − | 0.998507i | \(-0.482602\pi\) |
0.631105 | + | 0.775697i | \(0.282602\pi\) | |||||||
\(840\) | 4.27954 | + | 5.62652i | 0.147658 | + | 0.194134i | ||||
\(841\) | 22.9945 | − | 16.7065i | 0.792915 | − | 0.576087i | ||||
\(842\) | 3.44420 | − | 1.98851i | 0.118695 | − | 0.0685286i | ||||
\(843\) | 9.55385 | + | 6.62609i | 0.329052 | + | 0.228215i | ||||
\(844\) | −0.318111 | − | 3.02663i | −0.0109498 | − | 0.104181i | ||||
\(845\) | 6.28752 | − | 8.65404i | 0.216297 | − | 0.297708i | ||||
\(846\) | −7.85735 | + | 28.3583i | −0.270141 | + | 0.974979i | ||||
\(847\) | −5.70635 | + | 6.33754i | −0.196072 | + | 0.217761i | ||||
\(848\) | 9.59687 | + | 4.27280i | 0.329558 | + | 0.146729i | ||||
\(849\) | −24.6110 | − | 7.40396i | −0.844648 | − | 0.254103i | ||||
\(850\) | 0.189252 | + | 0.890362i | 0.00649130 | + | 0.0305392i | ||||
\(851\) | −19.2776 | − | 43.2981i | −0.660826 | − | 1.48424i | ||||
\(852\) | 4.33481 | + | 1.81714i | 0.148508 | + | 0.0622543i | ||||
\(853\) | −8.55122 | + | 26.3179i | −0.292788 | + | 0.901109i | 0.691167 | + | 0.722695i | \(0.257097\pi\) |
−0.983955 | + | 0.178414i | \(0.942903\pi\) | |||||||
\(854\) | 40.4446 | − | 18.0071i | 1.38399 | − | 0.616190i | ||||
\(855\) | −0.806837 | − | 18.3814i | −0.0275932 | − | 0.628632i | ||||
\(856\) | −15.3709 | − | 3.26718i | −0.525366 | − | 0.111670i | ||||
\(857\) | 1.91825 | − | 4.30847i | 0.0655263 | − | 0.147174i | −0.877814 | − | 0.479002i | \(-0.840999\pi\) |
0.943340 | + | 0.331828i | \(0.107665\pi\) | |||||||
\(858\) | 6.92591 | − | 6.51676i | 0.236447 | − | 0.222479i | ||||
\(859\) | 35.8092 | + | 3.76369i | 1.22179 | + | 0.128416i | 0.693380 | − | 0.720572i | \(-0.256121\pi\) |
0.528413 | + | 0.848988i | \(0.322787\pi\) | |||||||
\(860\) | −8.05410 | − | 5.85164i | −0.274642 | − | 0.199539i | ||||
\(861\) | −45.4256 | + | 0.996477i | −1.54810 | + | 0.0339599i | ||||
\(862\) | −14.7310 | + | 25.5148i | −0.501739 | + | 0.869037i | ||||
\(863\) | −20.7560 | − | 35.9505i | −0.706543 | − | 1.22377i | −0.966132 | − | 0.258049i | \(-0.916920\pi\) |
0.259589 | − | 0.965719i | \(-0.416413\pi\) | |||||||
\(864\) | 1.92716 | + | 4.82556i | 0.0655632 | + | 0.164169i | ||||
\(865\) | 4.04351 | + | 4.49078i | 0.137484 | + | 0.152691i | ||||
\(866\) | 7.62214 | + | 23.4585i | 0.259011 | + | 0.797153i | ||||
\(867\) | −27.9138 | − | 2.31619i | −0.948003 | − | 0.0786619i | ||||
\(868\) | 22.5483 | − | 2.82014i | 0.765340 | − | 0.0957219i | ||||
\(869\) | − | 47.3499i | − | 1.60624i | ||||||
\(870\) | 0.301748 | + | 1.28081i | 0.0102302 | + | 0.0434235i | ||||
\(871\) | −7.16656 | + | 6.45280i | −0.242830 | + | 0.218645i | ||||
\(872\) | −4.93785 | − | 6.79636i | −0.167217 | − | 0.230154i | ||||
\(873\) | 13.1028 | + | 35.0202i | 0.443463 | + | 1.18525i | ||||
\(874\) | 33.4690 | + | 19.3233i | 1.13211 | + | 0.653621i | ||||
\(875\) | 4.05899 | − | 0.426617i | 0.137219 | − | 0.0144223i | ||||
\(876\) | −12.2632 | + | 14.2355i | −0.414334 | + | 0.480972i | ||||
\(877\) | 4.58158 | − | 43.5909i | 0.154709 | − | 1.47196i | −0.591531 | − | 0.806282i | \(-0.701476\pi\) |
0.746240 | − | 0.665677i | \(-0.231857\pi\) | |||||||
\(878\) | 5.58671 | + | 5.03029i | 0.188542 | + | 0.169764i | ||||
\(879\) | −4.45254 | + | 8.11814i | −0.150180 | + | 0.273818i | ||||
\(880\) | 0.752212 | − | 3.53888i | 0.0253571 | − | 0.119296i | ||||
\(881\) | 26.9008 | − | 5.71795i | 0.906312 | − | 0.192643i | 0.268902 | − | 0.963167i | \(-0.413339\pi\) |
0.637410 | + | 0.770525i | \(0.280006\pi\) | |||||||
\(882\) | −7.26060 | − | 28.0477i | −0.244477 | − | 0.944417i | ||||
\(883\) | −7.88334 | − | 2.56145i | −0.265296 | − | 0.0861998i | 0.173349 | − | 0.984860i | \(-0.444541\pi\) |
−0.438644 | + | 0.898661i | \(0.644541\pi\) | |||||||
\(884\) | 1.31376 | + | 0.426868i | 0.0441867 | + | 0.0143571i | ||||
\(885\) | 14.0647 | − | 4.91347i | 0.472781 | − | 0.165164i | ||||
\(886\) | 21.5744 | − | 4.58578i | 0.724806 | − | 0.154062i | ||||
\(887\) | −1.79158 | + | 8.42873i | −0.0601554 | + | 0.283009i | −0.997936 | − | 0.0642201i | \(-0.979544\pi\) |
0.937780 | + | 0.347229i | \(0.112877\pi\) | |||||||
\(888\) | 11.4224 | + | 6.26479i | 0.383309 | + | 0.210233i | ||||
\(889\) | 12.8692 | + | 11.5875i | 0.431618 | + | 0.388631i | ||||
\(890\) | 0.656777 | − | 6.24882i | 0.0220152 | − | 0.209461i | ||||
\(891\) | −18.6889 | − | 26.6641i | −0.626102 | − | 0.893281i | ||||
\(892\) | 11.0972 | − | 1.16637i | 0.371562 | − | 0.0390528i | ||||
\(893\) | −52.0988 | − | 30.0792i | −1.74342 | − | 1.00656i | ||||
\(894\) | −17.3305 | − | 36.7349i | −0.579620 | − | 1.22860i | ||||
\(895\) | 7.73929 | + | 10.6522i | 0.258696 | + | 0.356064i | ||||
\(896\) | 3.03303 | − | 2.73096i | 0.101327 | − | 0.0912349i | ||||
\(897\) | −16.1219 | + | 3.79818i | −0.538294 | + | 0.126818i | ||||
\(898\) | 10.8891i | 0.363374i | ||||||||
\(899\) | 4.04789 | + | 1.22760i | 0.135005 | + | 0.0409429i | ||||
\(900\) | 2.95897 | + | 0.494454i | 0.0986324 | + | 0.0164818i | ||||
\(901\) | −2.95491 | − | 9.09427i | −0.0984423 | − | 0.302974i | ||||
\(902\) | 15.5601 | + | 17.2813i | 0.518095 | + | 0.575403i | ||||
\(903\) | 36.5161 | + | 60.1609i | 1.21518 | + | 2.00203i | ||||
\(904\) | 9.59551 | + | 16.6199i | 0.319142 | + | 0.552770i | ||||
\(905\) | −9.97095 | + | 17.2702i | −0.331445 | + | 0.574080i | ||||
\(906\) | 0.0490042 | + | 2.23391i | 0.00162806 | + | 0.0742168i | ||||
\(907\) | 31.3940 | + | 22.8091i | 1.04242 | + | 0.757363i | 0.970757 | − | 0.240065i | \(-0.0771689\pi\) |
0.0716646 | + | 0.997429i | \(0.477169\pi\) | |||||||
\(908\) | 17.8086 | + | 1.87176i | 0.591001 | + | 0.0621167i | ||||
\(909\) | −14.9676 | − | 18.8078i | −0.496443 | − | 0.623817i | ||||
\(910\) | 2.51922 | − | 5.65826i | 0.0835114 | − | 0.187570i | ||||
\(911\) | −19.4928 | − | 4.14333i | −0.645826 | − | 0.137275i | −0.126658 | − | 0.991947i | \(-0.540425\pi\) |
−0.519168 | + | 0.854672i | \(0.673758\pi\) | |||||||
\(912\) | −10.5377 | + | 1.34181i | −0.348937 | + | 0.0444316i | ||||
\(913\) | 23.9785 | − | 10.6759i | 0.793572 | − | 0.353321i | ||||
\(914\) | 7.12283 | − | 21.9218i | 0.235602 | − | 0.725109i | ||||
\(915\) | 7.26362 | − | 17.3274i | 0.240128 | − | 0.572827i | ||||
\(916\) | −2.89864 | − | 6.51045i | −0.0957738 | − | 0.215111i | ||||
\(917\) | −1.52754 | − | 7.18652i | −0.0504439 | − | 0.237320i | ||||
\(918\) | 2.09046 | − | 4.24277i | 0.0689955 | − | 0.140032i | ||||
\(919\) | −53.7487 | − | 23.9305i | −1.77301 | − | 0.789393i | −0.984734 | − | 0.174066i | \(-0.944309\pi\) |
−0.788272 | − | 0.615327i | \(-0.789024\pi\) | |||||||
\(920\) | −4.21645 | + | 4.68284i | −0.139012 | + | 0.154389i | ||||
\(921\) | −0.121182 | + | 0.638688i | −0.00399307 | + | 0.0210455i | ||||
\(922\) | 14.3480 | − | 19.7483i | 0.472525 | − | 0.650375i | ||||
\(923\) | −0.430474 | − | 4.09568i | −0.0141692 | − | 0.134811i | ||||
\(924\) | −14.5756 | + | 21.0158i | −0.479501 | + | 0.691370i | ||||
\(925\) | 6.51379 | − | 3.76074i | 0.214172 | − | 0.123652i | ||||
\(926\) | −7.72064 | + | 5.60937i | −0.253716 | + | 0.184335i | ||||
\(927\) | −27.2077 | − | 42.6856i | −0.893618 | − | 1.40198i | ||||
\(928\) | 0.722537 | − | 0.234766i | 0.0237184 | − | 0.00770659i | ||||
\(929\) | −23.8745 | −0.783297 | −0.391648 | − | 0.920115i | \(-0.628095\pi\) | ||||
−0.391648 | + | 0.920115i | \(0.628095\pi\) | |||||||
\(930\) | 6.14895 | − | 7.42903i | 0.201632 | − | 0.243607i | ||||
\(931\) | 59.2294 | 1.94117 | ||||||||
\(932\) | 1.68590 | − | 0.547783i | 0.0552236 | − | 0.0179432i | ||||
\(933\) | −0.429860 | + | 0.326952i | −0.0140730 | + | 0.0107039i | ||||
\(934\) | −7.10642 | + | 5.16312i | −0.232529 | + | 0.168942i | ||||
\(935\) | −2.85203 | + | 1.64662i | −0.0932714 | + | 0.0538503i | ||||
\(936\) | 2.89507 | − | 3.51366i | 0.0946282 | − | 0.114848i | ||||
\(937\) | −2.12343 | − | 20.2031i | −0.0693694 | − | 0.660006i | −0.972859 | − | 0.231397i | \(-0.925670\pi\) |
0.903490 | − | 0.428609i | \(-0.140996\pi\) | |||||||
\(938\) | 15.2444 | − | 20.9821i | 0.497747 | − | 0.685091i | ||||
\(939\) | 40.2121 | + | 7.62966i | 1.31227 | + | 0.248985i | ||||
\(940\) | 6.56344 | − | 7.28944i | 0.214076 | − | 0.237755i | ||||
\(941\) | −3.40473 | − | 1.51588i | −0.110991 | − | 0.0494164i | 0.350490 | − | 0.936567i | \(-0.386015\pi\) |
−0.461481 | + | 0.887150i | \(0.652682\pi\) | |||||||
\(942\) | −6.20521 | + | 20.6264i | −0.202177 | + | 0.672043i | ||||
\(943\) | −8.42083 | − | 39.6169i | −0.274220 | − | 1.29010i | ||||
\(944\) | −3.49856 | − | 7.85790i | −0.113868 | − | 0.255753i | ||||
\(945\) | −17.9396 | − | 11.3103i | −0.583574 | − | 0.367923i | ||||
\(946\) | 11.1302 | − | 34.2553i | 0.361874 | − | 1.11373i | ||||
\(947\) | −54.2192 | + | 24.1399i | −1.76189 | + | 0.784443i | −0.773254 | + | 0.634097i | \(0.781372\pi\) |
−0.988633 | + | 0.150346i | \(0.951961\pi\) | |||||||
\(948\) | −2.86333 | − | 22.4867i | −0.0929966 | − | 0.730334i | ||||
\(949\) | 16.1028 | + | 3.42276i | 0.522719 | + | 0.111107i | ||||
\(950\) | −2.49453 | + | 5.60282i | −0.0809334 | + | 0.181779i | ||||
\(951\) | 4.84861 | + | 5.15302i | 0.157227 | + | 0.167098i | ||||
\(952\) | −3.69471 | − | 0.388330i | −0.119746 | − | 0.0125858i | ||||
\(953\) | −20.2339 | − | 14.7008i | −0.655439 | − | 0.476205i | 0.209680 | − | 0.977770i | \(-0.432758\pi\) |
−0.865120 | + | 0.501565i | \(0.832758\pi\) | |||||||
\(954\) | −31.4569 | − | 1.91664i | −1.01846 | − | 0.0620535i | ||||
\(955\) | −2.08976 | + | 3.61957i | −0.0676231 | + | 0.117127i | ||||
\(956\) | 2.60971 | + | 4.52014i | 0.0844039 | + | 0.146192i | ||||
\(957\) | −4.06974 | + | 2.47023i | −0.131556 | + | 0.0798511i | ||||
\(958\) | 11.7165 | + | 13.0125i | 0.378543 | + | 0.420414i | ||||
\(959\) | 5.75284 | + | 17.7054i | 0.185769 | + | 0.571737i | ||||
\(960\) | 0.143227 | − | 1.72612i | 0.00462264 | − | 0.0557102i | ||||
\(961\) | −10.7337 | − | 29.0824i | −0.346249 | − | 0.938143i | ||||
\(962\) | − | 11.4144i | − | 0.368014i | ||||||
\(963\) | 46.6234 | − | 6.97901i | 1.50242 | − | 0.224895i | ||||
\(964\) | 1.37405 | − | 1.23720i | 0.0442553 | − | 0.0398477i | ||||
\(965\) | −1.75733 | − | 2.41876i | −0.0565705 | − | 0.0778626i | ||||
\(966\) | 40.2869 | − | 19.0062i | 1.29621 | − | 0.611516i | ||||
\(967\) | 8.24683 | + | 4.76131i | 0.265200 | + | 0.153113i | 0.626704 | − | 0.779257i | \(-0.284403\pi\) |
−0.361504 | + | 0.932370i | \(0.617737\pi\) | |||||||
\(968\) | 2.07806 | − | 0.218413i | 0.0667913 | − | 0.00702005i | ||||
\(969\) | 7.32592 | + | 6.31093i | 0.235343 | + | 0.202736i | ||||
\(970\) | 1.30281 | − | 12.3954i | 0.0418308 | − | 0.397993i | ||||
\(971\) | 34.7046 | + | 31.2482i | 1.11372 | + | 1.00280i | 0.999957 | + | 0.00929403i | \(0.00295842\pi\) |
0.113767 | + | 0.993507i | \(0.463708\pi\) | |||||||
\(972\) | −10.4879 | − | 11.5328i | −0.336399 | − | 0.369913i | ||||
\(973\) | 0.894215 | − | 4.20695i | 0.0286672 | − | 0.134869i | ||||
\(974\) | 21.5193 | − | 4.57406i | 0.689522 | − | 0.146562i | ||||
\(975\) | −0.866884 | − | 2.48145i | −0.0277625 | − | 0.0794699i | ||||
\(976\) | −10.3165 | − | 3.35204i | −0.330223 | − | 0.107296i | ||||
\(977\) | −10.8165 | − | 3.51450i | −0.346051 | − | 0.112439i | 0.130835 | − | 0.991404i | \(-0.458234\pi\) |
−0.476885 | + | 0.878965i | \(0.658234\pi\) | |||||||
\(978\) | −12.8024 | − | 36.6467i | −0.409375 | − | 1.17183i | ||||
\(979\) | 22.2356 | − | 4.72633i | 0.710654 | − | 0.151054i | ||||
\(980\) | −2.00789 | + | 9.44638i | −0.0641397 | + | 0.301754i | ||||
\(981\) | 21.0191 | + | 13.9052i | 0.671088 | + | 0.443959i | ||||
\(982\) | 1.73437 | + | 1.56163i | 0.0553459 | + | 0.0498336i | ||||
\(983\) | −1.90111 | + | 18.0878i | −0.0606359 | + | 0.576912i | 0.921453 | + | 0.388491i | \(0.127004\pi\) |
−0.982088 | + | 0.188421i | \(0.939663\pi\) | |||||||
\(984\) | 8.43460 | + | 7.26600i | 0.268885 | + | 0.231632i | ||||
\(985\) | 2.01943 | − | 0.212250i | 0.0643443 | − | 0.00676286i | ||||
\(986\) | −0.598889 | − | 0.345769i | −0.0190725 | − | 0.0110115i | ||||
\(987\) | −62.7117 | + | 29.5857i | −1.99613 | + | 0.941722i | ||||
\(988\) | 5.47071 | + | 7.52979i | 0.174047 | + | 0.239555i | ||||
\(989\) | −46.6196 | + | 41.9765i | −1.48242 | + | 1.33477i | ||||
\(990\) | 1.60680 | + | 10.7342i | 0.0510673 | + | 0.341156i | ||||
\(991\) | 5.47667i | 0.173972i | 0.996210 | + | 0.0869861i | \(0.0277236\pi\) | ||||
−0.996210 | + | 0.0869861i | \(0.972276\pi\) | |||||||
\(992\) | −4.56803 | − | 3.18326i | −0.145035 | − | 0.101069i | ||||
\(993\) | 1.91960 | − | 23.1342i | 0.0609166 | − | 0.734143i | ||||
\(994\) | 3.42254 | + | 10.5335i | 0.108557 | + | 0.334103i | ||||
\(995\) | −9.18901 | − | 10.2054i | −0.291311 | − | 0.323534i | ||||
\(996\) | 10.7419 | − | 6.52006i | 0.340370 | − | 0.206596i | ||||
\(997\) | −24.0548 | − | 41.6642i | −0.761825 | − | 1.31952i | −0.941909 | − | 0.335868i | \(-0.890970\pi\) |
0.180084 | − | 0.983651i | \(-0.442363\pi\) | |||||||
\(998\) | −1.89657 | + | 3.28495i | −0.0600348 | + | 0.103983i | ||||
\(999\) | −38.6802 | − | 5.59458i | −1.22379 | − | 0.177005i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 930.2.br.b.11.18 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.2 | ✓ | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.2 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.18 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.2 | ✓ | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.11.18 | yes | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.761.2 | yes | 176 | 31.17 | odd | 30 | inner | |
930.2.br.b.761.18 | yes | 176 | 93.17 | even | 30 | inner |