Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), 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: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.1 | ||
Root | \(-0.709944 + 0.925217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.e.97.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.758819 | − | 2.83195i | −0.438104 | − | 1.63503i | −0.733526 | − | 0.679661i | \(-0.762127\pi\) |
0.295422 | − | 0.955367i | \(-0.404540\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.61069 | + | 1.55103i | −0.720322 | + | 0.693640i | ||||
\(6\) | −2.07313 | + | 2.07313i | −0.846353 | + | 0.846353i | ||||
\(7\) | 0.455091 | + | 1.69842i | 0.172008 | + | 0.641943i | 0.997042 | + | 0.0768598i | \(0.0244894\pi\) |
−0.825034 | + | 0.565083i | \(0.808844\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −4.84607 | + | 2.79788i | −1.61536 | + | 0.932626i | ||||
\(10\) | 2.14857 | + | 0.619385i | 0.679438 | + | 0.195867i | ||||
\(11\) | 5.29342i | 1.59603i | 0.602640 | + | 0.798013i | \(0.294115\pi\) | ||||
−0.602640 | + | 0.798013i | \(0.705885\pi\) | |||||||
\(12\) | 2.83195 | + | 0.758819i | 0.817514 | + | 0.219052i | ||||
\(13\) | −0.197969 | + | 0.342893i | −0.0549068 | + | 0.0951013i | −0.892172 | − | 0.451695i | \(-0.850819\pi\) |
0.837266 | + | 0.546796i | \(0.184153\pi\) | |||||||
\(14\) | 1.24333 | − | 1.24333i | 0.332294 | − | 0.332294i | ||||
\(15\) | 5.61465 | + | 3.38445i | 1.44970 | + | 0.873860i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.21090 | − | 1.85382i | 0.778759 | − | 0.449617i | −0.0572314 | − | 0.998361i | \(-0.518227\pi\) |
0.835990 | + | 0.548744i | \(0.184894\pi\) | |||||||
\(18\) | 4.84607 | + | 2.79788i | 1.14223 | + | 0.659466i | ||||
\(19\) | −5.24257 | + | 1.40474i | −1.20273 | + | 0.322270i | −0.803905 | − | 0.594758i | \(-0.797248\pi\) |
−0.398823 | + | 0.917028i | \(0.630581\pi\) | |||||||
\(20\) | −0.537883 | − | 2.17041i | −0.120274 | − | 0.485319i | ||||
\(21\) | 4.46452 | − | 2.57759i | 0.974238 | − | 0.562476i | ||||
\(22\) | 4.58424 | − | 2.64671i | 0.977362 | − | 0.564280i | ||||
\(23\) | −7.28057 | −1.51810 | −0.759052 | − | 0.651030i | \(-0.774337\pi\) | ||||
−0.759052 | + | 0.651030i | \(0.774337\pi\) | |||||||
\(24\) | −0.758819 | − | 2.83195i | −0.154893 | − | 0.578070i | ||||
\(25\) | 0.188640 | − | 4.99644i | 0.0377280 | − | 0.999288i | ||||
\(26\) | 0.395938 | 0.0776499 | ||||||||
\(27\) | 5.38134 | + | 5.38134i | 1.03564 | + | 1.03564i | ||||
\(28\) | −1.69842 | − | 0.455091i | −0.320972 | − | 0.0860041i | ||||
\(29\) | −1.33851 | + | 1.33851i | −0.248556 | + | 0.248556i | −0.820378 | − | 0.571822i | \(-0.806237\pi\) |
0.571822 | + | 0.820378i | \(0.306237\pi\) | |||||||
\(30\) | 0.123691 | − | 6.55465i | 0.0225828 | − | 1.19671i | ||||
\(31\) | 3.75473 | + | 3.75473i | 0.674369 | + | 0.674369i | 0.958720 | − | 0.284351i | \(-0.0917780\pi\) |
−0.284351 | + | 0.958720i | \(0.591778\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 14.9907 | − | 4.01675i | 2.60955 | − | 0.699226i | ||||
\(34\) | −3.21090 | − | 1.85382i | −0.550666 | − | 0.317927i | ||||
\(35\) | −3.36731 | − | 2.02977i | −0.569179 | − | 0.343094i | ||||
\(36\) | − | 5.59575i | − | 0.932626i | ||||||
\(37\) | 2.51884 | + | 5.53674i | 0.414095 | + | 0.910234i | ||||
\(38\) | 3.83783 | + | 3.83783i | 0.622578 | + | 0.622578i | ||||
\(39\) | 1.12128 | + | 0.300446i | 0.179548 | + | 0.0481098i | ||||
\(40\) | −1.61069 | + | 1.55103i | −0.254672 | + | 0.245239i | ||||
\(41\) | −5.24826 | − | 3.03009i | −0.819641 | − | 0.473220i | 0.0306518 | − | 0.999530i | \(-0.490242\pi\) |
−0.850293 | + | 0.526310i | \(0.823575\pi\) | |||||||
\(42\) | −4.46452 | − | 2.57759i | −0.688890 | − | 0.397731i | ||||
\(43\) | 8.65292 | 1.31956 | 0.659779 | − | 0.751459i | \(-0.270650\pi\) | ||||
0.659779 | + | 0.751459i | \(0.270650\pi\) | |||||||
\(44\) | −4.58424 | − | 2.64671i | −0.691100 | − | 0.399007i | ||||
\(45\) | 3.46593 | − | 12.0229i | 0.516670 | − | 1.79227i | ||||
\(46\) | 3.64029 | + | 6.30516i | 0.536731 | + | 0.929645i | ||||
\(47\) | −7.10699 | + | 7.10699i | −1.03666 | + | 1.03666i | −0.0373585 | + | 0.999302i | \(0.511894\pi\) |
−0.999302 | + | 0.0373585i | \(0.988106\pi\) | |||||||
\(48\) | −2.07313 | + | 2.07313i | −0.299231 | + | 0.299231i | ||||
\(49\) | 3.38465 | − | 1.95413i | 0.483521 | − | 0.279161i | ||||
\(50\) | −4.42136 | + | 2.33485i | −0.625275 | + | 0.330198i | ||||
\(51\) | −7.68641 | − | 7.68641i | −1.07631 | − | 1.07631i | ||||
\(52\) | −0.197969 | − | 0.342893i | −0.0274534 | − | 0.0475507i | ||||
\(53\) | −2.33073 | + | 8.69839i | −0.320150 | + | 1.19482i | 0.598948 | + | 0.800788i | \(0.295586\pi\) |
−0.919098 | + | 0.394028i | \(0.871081\pi\) | |||||||
\(54\) | 1.96971 | − | 7.35105i | 0.268043 | − | 1.00035i | ||||
\(55\) | −8.21023 | − | 8.52606i | −1.10707 | − | 1.14965i | ||||
\(56\) | 0.455091 | + | 1.69842i | 0.0608141 | + | 0.226961i | ||||
\(57\) | 7.95632 | + | 13.7808i | 1.05384 | + | 1.82531i | ||||
\(58\) | 1.82844 | + | 0.489930i | 0.240086 | + | 0.0643309i | ||||
\(59\) | −1.49924 | + | 5.59523i | −0.195184 | + | 0.728437i | 0.797035 | + | 0.603933i | \(0.206401\pi\) |
−0.992219 | + | 0.124504i | \(0.960266\pi\) | |||||||
\(60\) | −5.73834 | + | 3.17021i | −0.740817 | + | 0.409272i | ||||
\(61\) | −0.793650 | + | 0.212658i | −0.101617 | + | 0.0272281i | −0.309269 | − | 0.950975i | \(-0.600084\pi\) |
0.207652 | + | 0.978203i | \(0.433418\pi\) | |||||||
\(62\) | 1.37433 | − | 5.12906i | 0.174540 | − | 0.651391i | ||||
\(63\) | −6.95738 | − | 6.95738i | −0.876547 | − | 0.876547i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.212968 | − | 0.859349i | −0.0264155 | − | 0.106589i | ||||
\(66\) | −10.9740 | − | 10.9740i | −1.35080 | − | 1.35080i | ||||
\(67\) | −3.42259 | + | 0.917081i | −0.418136 | + | 0.112039i | −0.461752 | − | 0.887009i | \(-0.652779\pi\) |
0.0436155 | + | 0.999048i | \(0.486112\pi\) | |||||||
\(68\) | 3.70763i | 0.449617i | ||||||||
\(69\) | 5.52464 | + | 20.6182i | 0.665088 | + | 2.48214i | ||||
\(70\) | −0.0741820 | + | 3.93106i | −0.00886644 | + | 0.469851i | ||||
\(71\) | −1.22491 | + | 2.12161i | −0.145370 | + | 0.251788i | −0.929511 | − | 0.368795i | \(-0.879771\pi\) |
0.784141 | + | 0.620583i | \(0.213104\pi\) | |||||||
\(72\) | −4.84607 | + | 2.79788i | −0.571114 | + | 0.329733i | ||||
\(73\) | 7.76616 | − | 7.76616i | 0.908961 | − | 0.908961i | −0.0872276 | − | 0.996188i | \(-0.527801\pi\) |
0.996188 | + | 0.0872276i | \(0.0278007\pi\) | |||||||
\(74\) | 3.53553 | − | 4.94975i | 0.410997 | − | 0.575396i | ||||
\(75\) | −14.2928 | + | 3.25717i | −1.65039 | + | 0.376106i | ||||
\(76\) | 1.40474 | − | 5.24257i | 0.161135 | − | 0.601364i | ||||
\(77\) | −8.99046 | + | 2.40899i | −1.02456 | + | 0.274530i | ||||
\(78\) | −0.300446 | − | 1.12128i | −0.0340188 | − | 0.126960i | ||||
\(79\) | −12.4441 | + | 3.33439i | −1.40007 | + | 0.375148i | −0.878370 | − | 0.477981i | \(-0.841369\pi\) |
−0.521700 | + | 0.853129i | \(0.674702\pi\) | |||||||
\(80\) | 2.14857 | + | 0.619385i | 0.240218 | + | 0.0692494i | ||||
\(81\) | 2.76260 | − | 4.78497i | 0.306956 | − | 0.531663i | ||||
\(82\) | 6.06017i | 0.669234i | ||||||||
\(83\) | −0.519789 | + | 1.93988i | −0.0570542 | + | 0.212929i | −0.988568 | − | 0.150778i | \(-0.951822\pi\) |
0.931514 | + | 0.363707i | \(0.118489\pi\) | |||||||
\(84\) | 5.15518i | 0.562476i | ||||||||
\(85\) | −2.29645 | + | 7.96612i | −0.249085 | + | 0.864047i | ||||
\(86\) | −4.32646 | − | 7.49365i | −0.466534 | − | 0.808061i | ||||
\(87\) | 4.80629 | + | 2.77491i | 0.515289 | + | 0.297502i | ||||
\(88\) | 5.29342i | 0.564280i | ||||||||
\(89\) | 0.441597 | + | 0.118325i | 0.0468091 | + | 0.0125425i | 0.282148 | − | 0.959371i | \(-0.408953\pi\) |
−0.235338 | + | 0.971913i | \(0.575620\pi\) | |||||||
\(90\) | −12.1451 | + | 3.00986i | −1.28020 | + | 0.317267i | ||||
\(91\) | −0.672471 | − | 0.180188i | −0.0704941 | − | 0.0188888i | ||||
\(92\) | 3.64029 | − | 6.30516i | 0.379526 | − | 0.657359i | ||||
\(93\) | 7.78405 | − | 13.4824i | 0.807169 | − | 1.39806i | ||||
\(94\) | 9.70832 | + | 2.60134i | 1.00134 | + | 0.268307i | ||||
\(95\) | 6.26536 | − | 10.3940i | 0.642812 | − | 1.06640i | ||||
\(96\) | 2.83195 | + | 0.758819i | 0.289035 | + | 0.0774466i | ||||
\(97\) | − | 10.7641i | − | 1.09293i | −0.837481 | − | 0.546466i | \(-0.815973\pi\) | ||
0.837481 | − | 0.546466i | \(-0.184027\pi\) | |||||||
\(98\) | −3.38465 | − | 1.95413i | −0.341901 | − | 0.197397i | ||||
\(99\) | −14.8103 | − | 25.6523i | −1.48850 | − | 2.57815i | ||||
\(100\) | 4.23272 | + | 2.66159i | 0.423272 | + | 0.266159i | ||||
\(101\) | 1.23852i | 0.123237i | 0.998100 | + | 0.0616184i | \(0.0196262\pi\) | ||||
−0.998100 | + | 0.0616184i | \(0.980374\pi\) | |||||||
\(102\) | −2.81342 | + | 10.4998i | −0.278570 | + | 1.03964i | ||||
\(103\) | − | 15.6859i | − | 1.54558i | −0.634662 | − | 0.772790i | \(-0.718861\pi\) | ||
0.634662 | − | 0.772790i | \(-0.281139\pi\) | |||||||
\(104\) | −0.197969 | + | 0.342893i | −0.0194125 | + | 0.0336234i | ||||
\(105\) | −3.19304 | + | 11.0763i | −0.311609 | + | 1.08093i | ||||
\(106\) | 8.69839 | − | 2.33073i | 0.844863 | − | 0.226380i | ||||
\(107\) | −0.801309 | − | 2.99053i | −0.0774655 | − | 0.289105i | 0.916316 | − | 0.400457i | \(-0.131149\pi\) |
−0.993781 | + | 0.111352i | \(0.964482\pi\) | |||||||
\(108\) | −7.35105 | + | 1.96971i | −0.707355 | + | 0.189535i | ||||
\(109\) | 0.513107 | − | 1.91494i | 0.0491468 | − | 0.183418i | −0.936989 | − | 0.349359i | \(-0.886399\pi\) |
0.986136 | + | 0.165941i | \(0.0530660\pi\) | |||||||
\(110\) | −3.27867 | + | 11.3733i | −0.312609 | + | 1.08440i | ||||
\(111\) | 13.7684 | − | 11.3346i | 1.30684 | − | 1.07583i | ||||
\(112\) | 1.24333 | − | 1.24333i | 0.117484 | − | 0.117484i | ||||
\(113\) | −14.5475 | + | 8.39900i | −1.36851 | + | 0.790112i | −0.990738 | − | 0.135786i | \(-0.956644\pi\) |
−0.377775 | + | 0.925897i | \(0.623311\pi\) | |||||||
\(114\) | 7.95632 | − | 13.7808i | 0.745178 | − | 1.29069i | ||||
\(115\) | 11.7267 | − | 11.2924i | 1.09352 | − | 1.05302i | ||||
\(116\) | −0.489930 | − | 1.82844i | −0.0454888 | − | 0.169767i | ||||
\(117\) | − | 2.21557i | − | 0.204830i | ||||||
\(118\) | 5.59523 | − | 1.49924i | 0.515082 | − | 0.138016i | ||||
\(119\) | 4.60982 | + | 4.60982i | 0.422581 | + | 0.422581i | ||||
\(120\) | 5.61465 | + | 3.38445i | 0.512545 | + | 0.308956i | ||||
\(121\) | −17.0203 | −1.54730 | ||||||||
\(122\) | 0.580992 | + | 0.580992i | 0.0526006 | + | 0.0526006i | ||||
\(123\) | −4.59857 | + | 17.1621i | −0.414639 | + | 1.54746i | ||||
\(124\) | −5.12906 | + | 1.37433i | −0.460603 | + | 0.123418i | ||||
\(125\) | 7.44577 | + | 8.34030i | 0.665969 | + | 0.745979i | ||||
\(126\) | −2.54658 | + | 9.50395i | −0.226867 | + | 0.846679i | ||||
\(127\) | −3.10721 | − | 0.832573i | −0.275720 | − | 0.0738789i | 0.118309 | − | 0.992977i | \(-0.462253\pi\) |
−0.394029 | + | 0.919098i | \(0.628919\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −6.56600 | − | 24.5047i | −0.578104 | − | 2.15751i | ||||
\(130\) | −0.637734 | + | 0.614111i | −0.0559329 | + | 0.0538611i | ||||
\(131\) | 1.42519 | − | 5.31888i | 0.124519 | − | 0.464713i | −0.875303 | − | 0.483576i | \(-0.839338\pi\) |
0.999822 | + | 0.0188626i | \(0.00600451\pi\) | |||||||
\(132\) | −4.01675 | + | 14.9907i | −0.349613 | + | 1.30477i | ||||
\(133\) | −4.77169 | − | 8.26481i | −0.413758 | − | 0.716650i | ||||
\(134\) | 2.50551 | + | 2.50551i | 0.216443 | + | 0.216443i | ||||
\(135\) | −17.0143 | − | 0.321072i | −1.46435 | − | 0.0276335i | ||||
\(136\) | 3.21090 | − | 1.85382i | 0.275333 | − | 0.158963i | ||||
\(137\) | 14.6294 | − | 14.6294i | 1.24988 | − | 1.24988i | 0.294103 | − | 0.955774i | \(-0.404979\pi\) |
0.955774 | − | 0.294103i | \(-0.0950210\pi\) | |||||||
\(138\) | 15.0936 | − | 15.0936i | 1.28485 | − | 1.28485i | ||||
\(139\) | 11.1080 | + | 19.2396i | 0.942165 | + | 1.63188i | 0.761330 | + | 0.648365i | \(0.224547\pi\) |
0.180835 | + | 0.983513i | \(0.442120\pi\) | |||||||
\(140\) | 3.44149 | − | 1.90129i | 0.290859 | − | 0.160688i | ||||
\(141\) | 25.5196 | + | 14.7337i | 2.14913 | + | 1.24080i | ||||
\(142\) | 2.44982 | 0.205584 | ||||||||
\(143\) | −1.81508 | − | 1.04793i | −0.151784 | − | 0.0876327i | ||||
\(144\) | 4.84607 | + | 2.79788i | 0.403839 | + | 0.233156i | ||||
\(145\) | 0.0798609 | − | 4.23200i | 0.00663208 | − | 0.351448i | ||||
\(146\) | −10.6088 | − | 2.84261i | −0.877989 | − | 0.235256i | ||||
\(147\) | −8.10233 | − | 8.10233i | −0.668269 | − | 0.668269i | ||||
\(148\) | −6.05437 | − | 0.586988i | −0.497666 | − | 0.0482502i | ||||
\(149\) | 7.99685i | 0.655127i | 0.944829 | + | 0.327564i | \(0.106228\pi\) | ||||
−0.944829 | + | 0.327564i | \(0.893772\pi\) | |||||||
\(150\) | 9.96721 | + | 10.7494i | 0.813819 | + | 0.877681i | ||||
\(151\) | 12.3792 | + | 7.14715i | 1.00741 | + | 0.581627i | 0.910431 | − | 0.413660i | \(-0.135750\pi\) |
0.0969755 | + | 0.995287i | \(0.469083\pi\) | |||||||
\(152\) | −5.24257 | + | 1.40474i | −0.425228 | + | 0.113940i | ||||
\(153\) | −10.3735 | + | 17.9674i | −0.838648 | + | 1.45258i | ||||
\(154\) | 6.58148 | + | 6.58148i | 0.530350 | + | 0.530350i | ||||
\(155\) | −11.8714 | − | 0.224022i | −0.953533 | − | 0.0179939i | ||||
\(156\) | −0.820833 | + | 0.820833i | −0.0657192 | + | 0.0657192i | ||||
\(157\) | −7.78666 | − | 2.08643i | −0.621443 | − | 0.166515i | −0.0656592 | − | 0.997842i | \(-0.520915\pi\) |
−0.555784 | + | 0.831327i | \(0.687582\pi\) | |||||||
\(158\) | 9.10971 | + | 9.10971i | 0.724730 | + | 0.724730i | ||||
\(159\) | 26.4020 | 2.09382 | ||||||||
\(160\) | −0.537883 | − | 2.17041i | −0.0425234 | − | 0.171586i | ||||
\(161\) | −3.31332 | − | 12.3655i | −0.261126 | − | 0.974537i | ||||
\(162\) | −5.52520 | −0.434101 | ||||||||
\(163\) | −0.520426 | + | 0.300468i | −0.0407629 | + | 0.0235345i | −0.520243 | − | 0.854018i | \(-0.674159\pi\) |
0.479480 | + | 0.877553i | \(0.340825\pi\) | |||||||
\(164\) | 5.24826 | − | 3.03009i | 0.409820 | − | 0.236610i | ||||
\(165\) | −17.9153 | + | 29.7207i | −1.39470 | + | 2.31375i | ||||
\(166\) | 1.93988 | − | 0.519789i | 0.150564 | − | 0.0403434i | ||||
\(167\) | −14.0365 | − | 8.10399i | −1.08618 | − | 0.627106i | −0.153623 | − | 0.988130i | \(-0.549094\pi\) |
−0.932557 | + | 0.361024i | \(0.882427\pi\) | |||||||
\(168\) | 4.46452 | − | 2.57759i | 0.344445 | − | 0.198865i | ||||
\(169\) | 6.42162 | + | 11.1226i | 0.493970 | + | 0.855582i | ||||
\(170\) | 8.04709 | − | 1.99427i | 0.617183 | − | 0.152954i | ||||
\(171\) | 21.4755 | − | 21.4755i | 1.64227 | − | 1.64227i | ||||
\(172\) | −4.32646 | + | 7.49365i | −0.329890 | + | 0.571386i | ||||
\(173\) | 12.8789 | + | 3.45090i | 0.979167 | + | 0.262367i | 0.712694 | − | 0.701475i | \(-0.247475\pi\) |
0.266473 | + | 0.963842i | \(0.414142\pi\) | |||||||
\(174\) | − | 5.54983i | − | 0.420731i | ||||||
\(175\) | 8.57191 | − | 1.95344i | 0.647976 | − | 0.147666i | ||||
\(176\) | 4.58424 | − | 2.64671i | 0.345550 | − | 0.199503i | ||||
\(177\) | 16.9831 | 1.27653 | ||||||||
\(178\) | −0.118325 | − | 0.441597i | −0.00886887 | − | 0.0330991i | ||||
\(179\) | −5.55861 | + | 5.55861i | −0.415470 | + | 0.415470i | −0.883639 | − | 0.468169i | \(-0.844914\pi\) |
0.468169 | + | 0.883639i | \(0.344914\pi\) | |||||||
\(180\) | 8.67916 | + | 9.01302i | 0.646906 | + | 0.671791i | ||||
\(181\) | 1.28072 | − | 2.21827i | 0.0951949 | − | 0.164882i | −0.814495 | − | 0.580171i | \(-0.802986\pi\) |
0.909690 | + | 0.415288i | \(0.136319\pi\) | |||||||
\(182\) | 0.180188 | + | 0.672471i | 0.0133564 | + | 0.0498468i | ||||
\(183\) | 1.20447 | + | 2.08621i | 0.0890373 | + | 0.154217i | ||||
\(184\) | −7.28057 | −0.536731 | ||||||||
\(185\) | −12.6447 | − | 5.01118i | −0.929656 | − | 0.368429i | ||||
\(186\) | −15.5681 | −1.14151 | ||||||||
\(187\) | 9.81303 | + | 16.9967i | 0.717600 | + | 1.24292i | ||||
\(188\) | −2.60134 | − | 9.70832i | −0.189722 | − | 0.708052i | ||||
\(189\) | −6.69079 | + | 11.5888i | −0.486683 | + | 0.842960i | ||||
\(190\) | −12.1341 | − | 0.228980i | −0.880301 | − | 0.0166119i | ||||
\(191\) | −3.22968 | + | 3.22968i | −0.233691 | + | 0.233691i | −0.814232 | − | 0.580540i | \(-0.802841\pi\) |
0.580540 | + | 0.814232i | \(0.302841\pi\) | |||||||
\(192\) | −0.758819 | − | 2.83195i | −0.0547630 | − | 0.204378i | ||||
\(193\) | −17.5567 | −1.26376 | −0.631880 | − | 0.775066i | \(-0.717716\pi\) | ||||
−0.631880 | + | 0.775066i | \(0.717716\pi\) | |||||||
\(194\) | −9.32202 | + | 5.38207i | −0.669282 | + | 0.386410i | ||||
\(195\) | −2.27203 | + | 1.25521i | −0.162703 | + | 0.0898872i | ||||
\(196\) | 3.90825i | 0.279161i | ||||||||
\(197\) | −0.428008 | − | 0.114684i | −0.0304943 | − | 0.00817093i | 0.243540 | − | 0.969891i | \(-0.421691\pi\) |
−0.274034 | + | 0.961720i | \(0.588358\pi\) | |||||||
\(198\) | −14.8103 | + | 25.6523i | −1.05252 | + | 1.82303i | ||||
\(199\) | 19.1007 | − | 19.1007i | 1.35401 | − | 1.35401i | 0.472897 | − | 0.881118i | \(-0.343208\pi\) |
0.881118 | − | 0.472897i | \(-0.156792\pi\) | |||||||
\(200\) | 0.188640 | − | 4.99644i | 0.0133389 | − | 0.353302i | ||||
\(201\) | 5.19426 | + | 8.99672i | 0.366375 | + | 0.634580i | ||||
\(202\) | 1.07259 | − | 0.619258i | 0.0754669 | − | 0.0435708i | ||||
\(203\) | −2.88251 | − | 1.66422i | −0.202312 | − | 0.116805i | ||||
\(204\) | 10.4998 | − | 2.81342i | 0.735136 | − | 0.196979i | ||||
\(205\) | 13.1531 | − | 3.25966i | 0.918649 | − | 0.227665i | ||||
\(206\) | −13.5844 | + | 7.84296i | −0.946470 | + | 0.546445i | ||||
\(207\) | 35.2821 | − | 20.3702i | 2.45228 | − | 1.41582i | ||||
\(208\) | 0.395938 | 0.0274534 | ||||||||
\(209\) | −7.43589 | − | 27.7511i | −0.514351 | − | 1.91958i | ||||
\(210\) | 11.1889 | − | 2.77288i | 0.772105 | − | 0.191347i | ||||
\(211\) | −27.6353 | −1.90250 | −0.951248 | − | 0.308428i | \(-0.900197\pi\) | ||||
−0.951248 | + | 0.308428i | \(0.900197\pi\) | |||||||
\(212\) | −6.36767 | − | 6.36767i | −0.437333 | − | 0.437333i | ||||
\(213\) | 6.93777 | + | 1.85897i | 0.475368 | + | 0.127374i | ||||
\(214\) | −2.18922 | + | 2.18922i | −0.149652 | + | 0.149652i | ||||
\(215\) | −13.9372 | + | 13.4209i | −0.950507 | + | 0.915298i | ||||
\(216\) | 5.38134 | + | 5.38134i | 0.366154 | + | 0.366154i | ||||
\(217\) | −4.66837 | + | 8.08586i | −0.316910 | + | 0.548904i | ||||
\(218\) | −1.91494 | + | 0.513107i | −0.129696 | + | 0.0347520i | ||||
\(219\) | −27.8865 | − | 16.1003i | −1.88440 | − | 1.08796i | ||||
\(220\) | 11.4889 | − | 2.84724i | 0.774581 | − | 0.191961i | ||||
\(221\) | 1.46799i | 0.0987480i | ||||||||
\(222\) | −16.7003 | − | 6.25650i | −1.12085 | − | 0.419909i | ||||
\(223\) | 19.6785 | + | 19.6785i | 1.31777 | + | 1.31777i | 0.915539 | + | 0.402229i | \(0.131764\pi\) |
0.402229 | + | 0.915539i | \(0.368236\pi\) | |||||||
\(224\) | −1.69842 | − | 0.455091i | −0.113481 | − | 0.0304070i | ||||
\(225\) | 13.0653 | + | 24.7409i | 0.871018 | + | 1.64939i | ||||
\(226\) | 14.5475 | + | 8.39900i | 0.967685 | + | 0.558693i | ||||
\(227\) | −14.9254 | − | 8.61717i | −0.990632 | − | 0.571941i | −0.0851686 | − | 0.996367i | \(-0.527143\pi\) |
−0.905463 | + | 0.424425i | \(0.860476\pi\) | |||||||
\(228\) | −15.9126 | −1.05384 | ||||||||
\(229\) | 6.96524 | + | 4.02138i | 0.460276 | + | 0.265740i | 0.712160 | − | 0.702017i | \(-0.247717\pi\) |
−0.251884 | + | 0.967757i | \(0.581050\pi\) | |||||||
\(230\) | −15.6428 | − | 4.50948i | −1.03146 | − | 0.297346i | ||||
\(231\) | 13.6443 | + | 23.6326i | 0.897727 | + | 1.55491i | ||||
\(232\) | −1.33851 | + | 1.33851i | −0.0878777 | + | 0.0878777i | ||||
\(233\) | 15.0559 | − | 15.0559i | 0.986346 | − | 0.986346i | −0.0135616 | − | 0.999908i | \(-0.504317\pi\) |
0.999908 | + | 0.0135616i | \(0.00431692\pi\) | |||||||
\(234\) | −1.91874 | + | 1.10779i | −0.125432 | + | 0.0724183i | ||||
\(235\) | 0.424030 | − | 22.4703i | 0.0276607 | − | 1.46580i | ||||
\(236\) | −4.09599 | − | 4.09599i | −0.266626 | − | 0.266626i | ||||
\(237\) | 18.8856 | + | 32.7109i | 1.22675 | + | 2.12480i | ||||
\(238\) | 1.68731 | − | 6.29713i | 0.109372 | − | 0.408182i | ||||
\(239\) | 2.47074 | − | 9.22091i | 0.159819 | − | 0.596451i | −0.838826 | − | 0.544400i | \(-0.816757\pi\) |
0.998644 | − | 0.0520513i | \(-0.0165759\pi\) | |||||||
\(240\) | 0.123691 | − | 6.55465i | 0.00798423 | − | 0.423101i | ||||
\(241\) | 1.03693 | + | 3.86989i | 0.0667947 | + | 0.249281i | 0.991248 | − | 0.132015i | \(-0.0421446\pi\) |
−0.924453 | + | 0.381296i | \(0.875478\pi\) | |||||||
\(242\) | 8.51015 | + | 14.7400i | 0.547053 | + | 0.947524i | ||||
\(243\) | 6.40605 | + | 1.71649i | 0.410948 | + | 0.110113i | ||||
\(244\) | 0.212658 | − | 0.793650i | 0.0136140 | − | 0.0508083i | ||||
\(245\) | −2.42071 | + | 8.39717i | −0.154654 | + | 0.536475i | ||||
\(246\) | 17.1621 | − | 4.59857i | 1.09422 | − | 0.293194i | ||||
\(247\) | 0.556191 | − | 2.07573i | 0.0353896 | − | 0.132076i | ||||
\(248\) | 3.75473 | + | 3.75473i | 0.238426 | + | 0.238426i | ||||
\(249\) | 5.88806 | 0.373141 | ||||||||
\(250\) | 3.50003 | − | 10.6184i | 0.221361 | − | 0.671565i | ||||
\(251\) | 6.79402 | + | 6.79402i | 0.428834 | + | 0.428834i | 0.888231 | − | 0.459397i | \(-0.151934\pi\) |
−0.459397 | + | 0.888231i | \(0.651934\pi\) | |||||||
\(252\) | 9.50395 | − | 2.54658i | 0.598693 | − | 0.160419i | ||||
\(253\) | − | 38.5391i | − | 2.42293i | ||||||
\(254\) | 0.832573 | + | 3.10721i | 0.0522403 | + | 0.194963i | ||||
\(255\) | 24.3023 | + | 0.458601i | 1.52187 | + | 0.0287187i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.89445 | − | 2.82581i | 0.305307 | − | 0.176269i | −0.339517 | − | 0.940600i | \(-0.610264\pi\) |
0.644825 | + | 0.764331i | \(0.276930\pi\) | |||||||
\(258\) | −17.9387 | + | 17.9387i | −1.11681 | + | 1.11681i | ||||
\(259\) | −8.25741 | + | 6.79777i | −0.513091 | + | 0.422393i | ||||
\(260\) | 0.850702 | + | 0.245238i | 0.0527583 | + | 0.0152090i | ||||
\(261\) | 2.74153 | − | 10.2315i | 0.169696 | − | 0.633315i | ||||
\(262\) | −5.31888 | + | 1.42519i | −0.328602 | + | 0.0880486i | ||||
\(263\) | 1.82357 | + | 6.80564i | 0.112446 | + | 0.419654i | 0.999083 | − | 0.0428117i | \(-0.0136315\pi\) |
−0.886637 | + | 0.462466i | \(0.846965\pi\) | |||||||
\(264\) | 14.9907 | − | 4.01675i | 0.922614 | − | 0.247214i | ||||
\(265\) | −9.73735 | − | 17.6254i | −0.598161 | − | 1.08272i | ||||
\(266\) | −4.77169 | + | 8.26481i | −0.292571 | + | 0.506748i | ||||
\(267\) | − | 1.34037i | − | 0.0820291i | ||||||
\(268\) | 0.917081 | − | 3.42259i | 0.0560197 | − | 0.209068i | ||||
\(269\) | 20.1816i | 1.23049i | 0.788336 | + | 0.615246i | \(0.210943\pi\) | ||||
−0.788336 | + | 0.615246i | \(0.789057\pi\) | |||||||
\(270\) | 8.22908 | + | 14.8953i | 0.500806 | + | 0.906500i | ||||
\(271\) | 5.27948 | + | 9.14432i | 0.320705 | + | 0.555478i | 0.980634 | − | 0.195851i | \(-0.0627468\pi\) |
−0.659928 | + | 0.751328i | \(0.729413\pi\) | |||||||
\(272\) | −3.21090 | − | 1.85382i | −0.194690 | − | 0.112404i | ||||
\(273\) | 2.04113i | 0.123535i | ||||||||
\(274\) | −19.9842 | − | 5.35474i | −1.20729 | − | 0.323492i | ||||
\(275\) | 26.4483 | + | 0.998552i | 1.59489 | + | 0.0602149i | ||||
\(276\) | −20.6182 | − | 5.52464i | −1.24107 | − | 0.332544i | ||||
\(277\) | 11.1864 | − | 19.3754i | 0.672126 | − | 1.16416i | −0.305174 | − | 0.952297i | \(-0.598715\pi\) |
0.977300 | − | 0.211860i | \(-0.0679520\pi\) | |||||||
\(278\) | 11.1080 | − | 19.2396i | 0.666211 | − | 1.15391i | ||||
\(279\) | −28.7009 | − | 7.69039i | −1.71828 | − | 0.460412i | ||||
\(280\) | −3.36731 | − | 2.02977i | −0.201235 | − | 0.121302i | ||||
\(281\) | 12.0535 | + | 3.22972i | 0.719050 | + | 0.192669i | 0.599748 | − | 0.800189i | \(-0.295268\pi\) |
0.119302 | + | 0.992858i | \(0.461934\pi\) | |||||||
\(282\) | − | 29.4674i | − | 1.75476i | ||||||
\(283\) | −23.4570 | − | 13.5429i | −1.39437 | − | 0.805041i | −0.400576 | − | 0.916263i | \(-0.631190\pi\) |
−0.993796 | + | 0.111223i | \(0.964523\pi\) | |||||||
\(284\) | −1.22491 | − | 2.12161i | −0.0726850 | − | 0.125894i | ||||
\(285\) | −34.1895 | − | 9.85605i | −2.02521 | − | 0.583822i | ||||
\(286\) | 2.09587i | 0.123931i | ||||||||
\(287\) | 2.75793 | − | 10.2927i | 0.162795 | − | 0.607561i | ||||
\(288\) | − | 5.59575i | − | 0.329733i | ||||||
\(289\) | −1.62673 | + | 2.81757i | −0.0956898 | + | 0.165740i | ||||
\(290\) | −3.70495 | + | 2.04684i | −0.217562 | + | 0.120194i | ||||
\(291\) | −30.4835 | + | 8.16803i | −1.78698 | + | 0.478819i | ||||
\(292\) | 2.84261 | + | 10.6088i | 0.166351 | + | 0.620832i | ||||
\(293\) | 20.9501 | − | 5.61358i | 1.22392 | − | 0.327949i | 0.411711 | − | 0.911314i | \(-0.364931\pi\) |
0.812210 | + | 0.583366i | \(0.198265\pi\) | |||||||
\(294\) | −2.96566 | + | 11.0680i | −0.172961 | + | 0.645498i | ||||
\(295\) | −6.26354 | − | 11.3375i | −0.364677 | − | 0.660096i | ||||
\(296\) | 2.51884 | + | 5.53674i | 0.146405 | + | 0.321816i | ||||
\(297\) | −28.4857 | + | 28.4857i | −1.65291 | + | 1.65291i | ||||
\(298\) | 6.92547 | − | 3.99842i | 0.401182 | − | 0.231622i | ||||
\(299\) | 1.44133 | − | 2.49646i | 0.0833542 | − | 0.144374i | ||||
\(300\) | 4.32561 | − | 14.0065i | 0.249739 | − | 0.808667i | ||||
\(301\) | 3.93787 | + | 14.6963i | 0.226975 | + | 0.847082i | ||||
\(302\) | − | 14.2943i | − | 0.822544i | ||||||
\(303\) | 3.50742 | − | 0.939809i | 0.201496 | − | 0.0539906i | ||||
\(304\) | 3.83783 | + | 3.83783i | 0.220114 | + | 0.220114i | ||||
\(305\) | 0.948486 | − | 1.57350i | 0.0543102 | − | 0.0900982i | ||||
\(306\) | 20.7470 | 1.18603 | ||||||||
\(307\) | 9.50973 | + | 9.50973i | 0.542749 | + | 0.542749i | 0.924334 | − | 0.381585i | \(-0.124622\pi\) |
−0.381585 | + | 0.924334i | \(0.624622\pi\) | |||||||
\(308\) | 2.40899 | − | 8.99046i | 0.137265 | − | 0.512279i | ||||
\(309\) | −44.4218 | + | 11.9028i | −2.52707 | + | 0.677125i | ||||
\(310\) | 5.74168 | + | 10.3929i | 0.326106 | + | 0.590279i | ||||
\(311\) | 2.08579 | − | 7.78427i | 0.118274 | − | 0.441405i | −0.881237 | − | 0.472675i | \(-0.843288\pi\) |
0.999511 | + | 0.0312698i | \(0.00995511\pi\) | |||||||
\(312\) | 1.12128 | + | 0.300446i | 0.0634799 | + | 0.0170094i | ||||
\(313\) | −0.733158 | − | 1.26987i | −0.0414406 | − | 0.0717771i | 0.844561 | − | 0.535459i | \(-0.179861\pi\) |
−0.886002 | + | 0.463682i | \(0.846528\pi\) | |||||||
\(314\) | 2.08643 | + | 7.78666i | 0.117744 | + | 0.439426i | ||||
\(315\) | 21.9972 | + | 0.415104i | 1.23940 | + | 0.0233885i | ||||
\(316\) | 3.33439 | − | 12.4441i | 0.187574 | − | 0.700035i | ||||
\(317\) | 3.21563 | − | 12.0009i | 0.180608 | − | 0.674037i | −0.814921 | − | 0.579572i | \(-0.803220\pi\) |
0.995528 | − | 0.0944641i | \(-0.0301138\pi\) | |||||||
\(318\) | −13.2010 | − | 22.8648i | −0.740276 | − | 1.28220i | ||||
\(319\) | −7.08531 | − | 7.08531i | −0.396701 | − | 0.396701i | ||||
\(320\) | −1.61069 | + | 1.55103i | −0.0900403 | + | 0.0867050i | ||||
\(321\) | −7.86098 | + | 4.53854i | −0.438757 | + | 0.253317i | ||||
\(322\) | −9.05217 | + | 9.05217i | −0.504457 | + | 0.504457i | ||||
\(323\) | −14.2293 | + | 14.2293i | −0.791737 | + | 0.791737i | ||||
\(324\) | 2.76260 | + | 4.78497i | 0.153478 | + | 0.265831i | ||||
\(325\) | 1.67590 | + | 1.05382i | 0.0929621 | + | 0.0584557i | ||||
\(326\) | 0.520426 | + | 0.300468i | 0.0288237 | + | 0.0166414i | ||||
\(327\) | −5.81238 | −0.321425 | ||||||||
\(328\) | −5.24826 | − | 3.03009i | −0.289787 | − | 0.167308i | ||||
\(329\) | −15.3050 | − | 8.83634i | −0.843791 | − | 0.487163i | ||||
\(330\) | 34.6965 | + | 0.654749i | 1.90998 | + | 0.0360427i | ||||
\(331\) | −2.13031 | − | 0.570816i | −0.117093 | − | 0.0313749i | 0.199797 | − | 0.979837i | \(-0.435972\pi\) |
−0.316889 | + | 0.948462i | \(0.602638\pi\) | |||||||
\(332\) | −1.42009 | − | 1.42009i | −0.0779375 | − | 0.0779375i | ||||
\(333\) | −27.6976 | − | 19.7840i | −1.51782 | − | 1.08416i | ||||
\(334\) | 16.2080i | 0.886862i | ||||||||
\(335\) | 4.09032 | − | 6.78566i | 0.223478 | − | 0.370740i | ||||
\(336\) | −4.46452 | − | 2.57759i | −0.243559 | − | 0.140619i | ||||
\(337\) | −20.7233 | + | 5.55278i | −1.12887 | + | 0.302479i | −0.774467 | − | 0.632614i | \(-0.781982\pi\) |
−0.354401 | + | 0.935093i | \(0.615315\pi\) | |||||||
\(338\) | 6.42162 | − | 11.1226i | 0.349290 | − | 0.604988i | ||||
\(339\) | 34.8245 | + | 34.8245i | 1.89141 | + | 1.89141i | ||||
\(340\) | −5.75063 | − | 5.97185i | −0.311872 | − | 0.323869i | ||||
\(341\) | −19.8754 | + | 19.8754i | −1.07631 | + | 1.07631i | ||||
\(342\) | −29.3361 | − | 7.86059i | −1.58632 | − | 0.425052i | ||||
\(343\) | 13.5626 | + | 13.5626i | 0.732310 | + | 0.732310i | ||||
\(344\) | 8.65292 | 0.466534 | ||||||||
\(345\) | −40.8779 | − | 24.6407i | −2.20079 | − | 1.32661i | ||||
\(346\) | −3.45090 | − | 12.8789i | −0.185521 | − | 0.692376i | ||||
\(347\) | −15.3997 | −0.826699 | −0.413349 | − | 0.910572i | \(-0.635641\pi\) | ||||
−0.413349 | + | 0.910572i | \(0.635641\pi\) | |||||||
\(348\) | −4.80629 | + | 2.77491i | −0.257644 | + | 0.148751i | ||||
\(349\) | −10.8175 | + | 6.24552i | −0.579050 | + | 0.334315i | −0.760756 | − | 0.649038i | \(-0.775172\pi\) |
0.181706 | + | 0.983353i | \(0.441838\pi\) | |||||||
\(350\) | −5.97769 | − | 6.44677i | −0.319521 | − | 0.344595i | ||||
\(351\) | −2.91056 | + | 0.779883i | −0.155354 | + | 0.0416271i | ||||
\(352\) | −4.58424 | − | 2.64671i | −0.244341 | − | 0.141070i | ||||
\(353\) | 11.9913 | − | 6.92318i | 0.638232 | − | 0.368484i | −0.145701 | − | 0.989329i | \(-0.546544\pi\) |
0.783933 | + | 0.620845i | \(0.213210\pi\) | |||||||
\(354\) | −8.49153 | − | 14.7078i | −0.451320 | − | 0.781709i | ||||
\(355\) | −1.31772 | − | 5.31711i | −0.0699371 | − | 0.282203i | ||||
\(356\) | −0.323271 | + | 0.323271i | −0.0171333 | + | 0.0171333i | ||||
\(357\) | 9.55676 | − | 16.5528i | 0.505797 | − | 0.876067i | ||||
\(358\) | 7.59321 | + | 2.03459i | 0.401313 | + | 0.107532i | ||||
\(359\) | − | 25.9408i | − | 1.36910i | −0.728964 | − | 0.684552i | \(-0.759998\pi\) | ||
0.728964 | − | 0.684552i | \(-0.240002\pi\) | |||||||
\(360\) | 3.46593 | − | 12.0229i | 0.182670 | − | 0.633661i | ||||
\(361\) | 9.05673 | − | 5.22891i | 0.476670 | − | 0.275206i | ||||
\(362\) | −2.56143 | −0.134626 | ||||||||
\(363\) | 12.9153 | + | 48.2006i | 0.677879 | + | 2.52988i | ||||
\(364\) | 0.492283 | − | 0.492283i | 0.0258026 | − | 0.0258026i | ||||
\(365\) | −0.463360 | + | 24.5544i | −0.0242533 | + | 1.28524i | ||||
\(366\) | 1.20447 | − | 2.08621i | 0.0629589 | − | 0.109048i | ||||
\(367\) | 1.20114 | + | 4.48271i | 0.0626990 | + | 0.233996i | 0.990163 | − | 0.139916i | \(-0.0446831\pi\) |
−0.927464 | + | 0.373911i | \(0.878016\pi\) | |||||||
\(368\) | 3.64029 | + | 6.30516i | 0.189763 | + | 0.328679i | ||||
\(369\) | 33.9112 | 1.76535 | ||||||||
\(370\) | 1.98254 | + | 13.4562i | 0.103067 | + | 0.699555i | ||||
\(371\) | −15.8342 | −0.822073 | ||||||||
\(372\) | 7.78405 | + | 13.4824i | 0.403584 | + | 0.699029i | ||||
\(373\) | 3.75148 | + | 14.0007i | 0.194244 | + | 0.724929i | 0.992461 | + | 0.122559i | \(0.0391101\pi\) |
−0.798217 | + | 0.602370i | \(0.794223\pi\) | |||||||
\(374\) | 9.81303 | − | 16.9967i | 0.507420 | − | 0.878877i | ||||
\(375\) | 17.9693 | − | 27.4148i | 0.927932 | − | 1.41570i | ||||
\(376\) | −7.10699 | + | 7.10699i | −0.366515 | + | 0.366515i | ||||
\(377\) | −0.193982 | − | 0.723951i | −0.00999058 | − | 0.0372854i | ||||
\(378\) | 13.3816 | 0.688274 | ||||||||
\(379\) | −3.28199 | + | 1.89486i | −0.168585 | + | 0.0973324i | −0.581918 | − | 0.813247i | \(-0.697698\pi\) |
0.413334 | + | 0.910580i | \(0.364364\pi\) | |||||||
\(380\) | 5.86875 | + | 10.6229i | 0.301061 | + | 0.544945i | ||||
\(381\) | 9.43123i | 0.483176i | ||||||||
\(382\) | 4.41182 | + | 1.18214i | 0.225728 | + | 0.0604838i | ||||
\(383\) | −15.6875 | + | 27.1715i | −0.801592 | + | 1.38840i | 0.116976 | + | 0.993135i | \(0.462680\pi\) |
−0.918568 | + | 0.395263i | \(0.870653\pi\) | |||||||
\(384\) | −2.07313 | + | 2.07313i | −0.105794 | + | 0.105794i | ||||
\(385\) | 10.7444 | − | 17.8246i | 0.547587 | − | 0.908424i | ||||
\(386\) | 8.77836 | + | 15.2046i | 0.446807 | + | 0.773892i | ||||
\(387\) | −41.9326 | + | 24.2098i | −2.13156 | + | 1.23065i | ||||
\(388\) | 9.32202 | + | 5.38207i | 0.473254 | + | 0.273233i | ||||
\(389\) | 10.3766 | − | 2.78041i | 0.526116 | − | 0.140972i | 0.0140217 | − | 0.999902i | \(-0.495537\pi\) |
0.512094 | + | 0.858929i | \(0.328870\pi\) | |||||||
\(390\) | 2.22306 | + | 1.34003i | 0.112569 | + | 0.0678552i | ||||
\(391\) | −23.3772 | + | 13.4968i | −1.18224 | + | 0.682565i | ||||
\(392\) | 3.38465 | − | 1.95413i | 0.170951 | − | 0.0986983i | ||||
\(393\) | −16.1443 | −0.814371 | ||||||||
\(394\) | 0.114684 | + | 0.428008i | 0.00577772 | + | 0.0215627i | ||||
\(395\) | 14.8719 | − | 24.6718i | 0.748284 | − | 1.24137i | ||||
\(396\) | 29.6207 | 1.48850 | ||||||||
\(397\) | 1.98688 | + | 1.98688i | 0.0997189 | + | 0.0997189i | 0.755206 | − | 0.655487i | \(-0.227537\pi\) |
−0.655487 | + | 0.755206i | \(0.727537\pi\) | |||||||
\(398\) | −26.0921 | − | 6.99135i | −1.30788 | − | 0.350445i | ||||
\(399\) | −19.7847 | + | 19.7847i | −0.990473 | + | 0.990473i | ||||
\(400\) | −4.42136 | + | 2.33485i | −0.221068 | + | 0.116743i | ||||
\(401\) | −1.17240 | − | 1.17240i | −0.0585467 | − | 0.0585467i | 0.677227 | − | 0.735774i | \(-0.263181\pi\) |
−0.735774 | + | 0.677227i | \(0.763181\pi\) | |||||||
\(402\) | 5.19426 | − | 8.99672i | 0.259066 | − | 0.448716i | ||||
\(403\) | −2.03079 | + | 0.544149i | −0.101161 | + | 0.0271060i | ||||
\(404\) | −1.07259 | − | 0.619258i | −0.0533631 | − | 0.0308092i | ||||
\(405\) | 2.97191 | + | 11.9920i | 0.147675 | + | 0.595885i | ||||
\(406\) | 3.32843i | 0.165187i | ||||||||
\(407\) | −29.3083 | + | 13.3333i | −1.45276 | + | 0.660906i | ||||
\(408\) | −7.68641 | − | 7.68641i | −0.380534 | − | 0.380534i | ||||
\(409\) | 30.9004 | + | 8.27974i | 1.52793 | + | 0.409407i | 0.922342 | − | 0.386373i | \(-0.126272\pi\) |
0.605585 | + | 0.795780i | \(0.292939\pi\) | |||||||
\(410\) | −9.39948 | − | 9.76105i | −0.464207 | − | 0.482064i | ||||
\(411\) | −52.5309 | − | 30.3288i | −2.59116 | − | 1.49601i | ||||
\(412\) | 13.5844 | + | 7.84296i | 0.669256 | + | 0.386395i | ||||
\(413\) | −10.1853 | −0.501188 | ||||||||
\(414\) | −35.2821 | − | 20.3702i | −1.73402 | − | 1.00114i | ||||
\(415\) | −2.17158 | − | 3.93074i | −0.106599 | − | 0.192953i | ||||
\(416\) | −0.197969 | − | 0.342893i | −0.00970624 | − | 0.0168117i | ||||
\(417\) | 46.0566 | − | 46.0566i | 2.25540 | − | 2.25540i | ||||
\(418\) | −20.3152 | + | 20.3152i | −0.993650 | + | 0.993650i | ||||
\(419\) | −3.92076 | + | 2.26365i | −0.191542 | + | 0.110587i | −0.592704 | − | 0.805420i | \(-0.701940\pi\) |
0.401162 | + | 0.916007i | \(0.368606\pi\) | |||||||
\(420\) | −7.99582 | − | 8.30339i | −0.390156 | − | 0.405164i | ||||
\(421\) | −16.3796 | − | 16.3796i | −0.798291 | − | 0.798291i | 0.184535 | − | 0.982826i | \(-0.440922\pi\) |
−0.982826 | + | 0.184535i | \(0.940922\pi\) | |||||||
\(422\) | 13.8177 | + | 23.9329i | 0.672634 | + | 1.16504i | ||||
\(423\) | 14.5564 | − | 54.3254i | 0.707759 | − | 2.64139i | ||||
\(424\) | −2.33073 | + | 8.69839i | −0.113190 | + | 0.422431i | ||||
\(425\) | −8.65678 | − | 16.3928i | −0.419915 | − | 0.795168i | ||||
\(426\) | −1.85897 | − | 6.93777i | −0.0900673 | − | 0.336136i | ||||
\(427\) | −0.722366 | − | 1.25117i | −0.0349577 | − | 0.0605486i | ||||
\(428\) | 2.99053 | + | 0.801309i | 0.144553 | + | 0.0387328i | ||||
\(429\) | −1.59038 | + | 5.93540i | −0.0767845 | + | 0.286564i | ||||
\(430\) | 18.5914 | + | 5.35949i | 0.896558 | + | 0.258458i | ||||
\(431\) | 7.19885 | − | 1.92893i | 0.346757 | − | 0.0929131i | −0.0812373 | − | 0.996695i | \(-0.525887\pi\) |
0.427994 | + | 0.903782i | \(0.359220\pi\) | |||||||
\(432\) | 1.96971 | − | 7.35105i | 0.0947676 | − | 0.353678i | ||||
\(433\) | 4.98607 | + | 4.98607i | 0.239615 | + | 0.239615i | 0.816691 | − | 0.577075i | \(-0.195806\pi\) |
−0.577075 | + | 0.816691i | \(0.695806\pi\) | |||||||
\(434\) | 9.33675 | 0.448178 | ||||||||
\(435\) | −12.0454 | + | 2.98516i | −0.577533 | + | 0.143127i | ||||
\(436\) | 1.40184 | + | 1.40184i | 0.0671357 | + | 0.0671357i | ||||
\(437\) | 38.1689 | − | 10.2273i | 1.82587 | − | 0.489239i | ||||
\(438\) | 32.2006i | 1.53860i | ||||||||
\(439\) | −0.561343 | − | 2.09496i | −0.0267914 | − | 0.0999871i | 0.951235 | − | 0.308466i | \(-0.0998155\pi\) |
−0.978027 | + | 0.208479i | \(0.933149\pi\) | |||||||
\(440\) | −8.21023 | − | 8.52606i | −0.391407 | − | 0.406464i | ||||
\(441\) | −10.9348 | + | 18.9397i | −0.520705 | + | 0.901888i | ||||
\(442\) | 1.27132 | − | 0.733997i | 0.0604705 | − | 0.0349127i | ||||
\(443\) | 15.0759 | − | 15.0759i | 0.716279 | − | 0.716279i | −0.251562 | − | 0.967841i | \(-0.580944\pi\) |
0.967841 | + | 0.251562i | \(0.0809442\pi\) | |||||||
\(444\) | 2.93185 | + | 17.5911i | 0.139140 | + | 0.834837i | ||||
\(445\) | −0.894801 | + | 0.494342i | −0.0424176 | + | 0.0234341i | ||||
\(446\) | 7.20282 | − | 26.8813i | 0.341064 | − | 1.27287i | ||||
\(447\) | 22.6467 | − | 6.06816i | 1.07115 | − | 0.287014i | ||||
\(448\) | 0.455091 | + | 1.69842i | 0.0215010 | + | 0.0802429i | ||||
\(449\) | 29.8192 | − | 7.99003i | 1.40725 | − | 0.377073i | 0.526310 | − | 0.850293i | \(-0.323575\pi\) |
0.880944 | + | 0.473220i | \(0.156908\pi\) | |||||||
\(450\) | 14.8936 | − | 23.6853i | 0.702090 | − | 1.11653i | ||||
\(451\) | 16.0395 | − | 27.7813i | 0.755271 | − | 1.30817i | ||||
\(452\) | − | 16.7980i | − | 0.790112i | ||||||
\(453\) | 10.8468 | − | 40.4808i | 0.509626 | − | 1.90195i | ||||
\(454\) | 17.2343i | 0.808847i | ||||||||
\(455\) | 1.36262 | − | 0.752792i | 0.0638805 | − | 0.0352914i | ||||
\(456\) | 7.95632 | + | 13.7808i | 0.372589 | + | 0.645343i | ||||
\(457\) | −5.96166 | − | 3.44196i | −0.278875 | − | 0.161008i | 0.354039 | − | 0.935231i | \(-0.384808\pi\) |
−0.632914 | + | 0.774222i | \(0.718141\pi\) | |||||||
\(458\) | − | 8.04277i | − | 0.375814i | ||||||
\(459\) | 27.2550 | + | 7.30295i | 1.27215 | + | 0.340873i | ||||
\(460\) | 3.91610 | + | 15.8018i | 0.182589 | + | 0.736764i | ||||
\(461\) | 18.2684 | + | 4.89500i | 0.850843 | + | 0.227983i | 0.657786 | − | 0.753205i | \(-0.271493\pi\) |
0.193057 | + | 0.981188i | \(0.438160\pi\) | |||||||
\(462\) | 13.6443 | − | 23.6326i | 0.634789 | − | 1.09949i | ||||
\(463\) | −8.21257 | + | 14.2246i | −0.381670 | + | 0.661073i | −0.991301 | − | 0.131613i | \(-0.957984\pi\) |
0.609631 | + | 0.792686i | \(0.291318\pi\) | |||||||
\(464\) | 1.82844 | + | 0.489930i | 0.0848833 | + | 0.0227444i | ||||
\(465\) | 8.37382 | + | 33.7892i | 0.388326 | + | 1.56694i | ||||
\(466\) | −20.5668 | − | 5.51085i | −0.952738 | − | 0.255285i | ||||
\(467\) | − | 15.6616i | − | 0.724732i | −0.932036 | − | 0.362366i | \(-0.881969\pi\) | ||
0.932036 | − | 0.362366i | \(-0.118031\pi\) | |||||||
\(468\) | 1.91874 | + | 1.10779i | 0.0886939 | + | 0.0512075i | ||||
\(469\) | −3.11518 | − | 5.39566i | −0.143846 | − | 0.249148i | ||||
\(470\) | −19.6718 | + | 10.8679i | −0.907394 | + | 0.501299i | ||||
\(471\) | 23.6346i | 1.08903i | ||||||||
\(472\) | −1.49924 | + | 5.59523i | −0.0690080 | + | 0.257541i | ||||
\(473\) | 45.8036i | 2.10605i | ||||||||
\(474\) | 18.8856 | − | 32.7109i | 0.867446 | − | 1.50246i | ||||
\(475\) | 6.02975 | + | 26.4592i | 0.276664 | + | 1.21403i | ||||
\(476\) | −6.29713 | + | 1.68731i | −0.288628 | + | 0.0773377i | ||||
\(477\) | −13.0422 | − | 48.6741i | −0.597160 | − | 2.22863i | ||||
\(478\) | −9.22091 | + | 2.47074i | −0.421755 | + | 0.113009i | ||||
\(479\) | 1.58757 | − | 5.92489i | 0.0725379 | − | 0.270715i | −0.920126 | − | 0.391623i | \(-0.871914\pi\) |
0.992664 | + | 0.120908i | \(0.0385805\pi\) | |||||||
\(480\) | −5.73834 | + | 3.17021i | −0.261918 | + | 0.144699i | ||||
\(481\) | −2.39716 | − | 0.232411i | −0.109301 | − | 0.0105970i | ||||
\(482\) | 2.83295 | − | 2.83295i | 0.129038 | − | 0.129038i | ||||
\(483\) | −32.5042 | + | 18.7663i | −1.47899 | + | 0.853898i | ||||
\(484\) | 8.51015 | − | 14.7400i | 0.386825 | − | 0.670000i | ||||
\(485\) | 16.6955 | + | 17.3377i | 0.758102 | + | 0.787264i | ||||
\(486\) | −1.71649 | − | 6.40605i | −0.0778618 | − | 0.290584i | ||||
\(487\) | 41.9951i | 1.90298i | 0.307679 | + | 0.951490i | \(0.400448\pi\) | ||||
−0.307679 | + | 0.951490i | \(0.599552\pi\) | |||||||
\(488\) | −0.793650 | + | 0.212658i | −0.0359269 | + | 0.00962657i | ||||
\(489\) | 1.24582 | + | 1.24582i | 0.0563379 | + | 0.0563379i | ||||
\(490\) | 8.48252 | − | 2.10218i | 0.383201 | − | 0.0949669i | ||||
\(491\) | −1.23433 | −0.0557047 | −0.0278524 | − | 0.999612i | \(-0.508867\pi\) | ||||
−0.0278524 | + | 0.999612i | \(0.508867\pi\) | |||||||
\(492\) | −12.5635 | − | 12.5635i | −0.566408 | − | 0.566408i | ||||
\(493\) | −1.81648 | + | 6.77920i | −0.0818101 | + | 0.305320i | ||||
\(494\) | −2.07573 | + | 0.556191i | −0.0933917 | + | 0.0250242i | ||||
\(495\) | 63.6422 | + | 18.3466i | 2.86050 | + | 0.824619i | ||||
\(496\) | 1.37433 | − | 5.12906i | 0.0617091 | − | 0.230301i | ||||
\(497\) | −4.16083 | − | 1.11489i | −0.186639 | − | 0.0500097i | ||||
\(498\) | −2.94403 | − | 5.09921i | −0.131925 | − | 0.228501i | ||||
\(499\) | 9.97949 | + | 37.2439i | 0.446743 | + | 1.66727i | 0.711293 | + | 0.702896i | \(0.248110\pi\) |
−0.264550 | + | 0.964372i | \(0.585223\pi\) | |||||||
\(500\) | −10.9458 | + | 2.27807i | −0.489511 | + | 0.101878i | ||||
\(501\) | −12.2989 | + | 45.9002i | −0.549476 | + | 2.05067i | ||||
\(502\) | 2.48678 | − | 9.28080i | 0.110991 | − | 0.414222i | ||||
\(503\) | 12.3990 | + | 21.4757i | 0.552844 | + | 0.957553i | 0.998068 | + | 0.0621341i | \(0.0197906\pi\) |
−0.445224 | + | 0.895419i | \(0.646876\pi\) | |||||||
\(504\) | −6.95738 | − | 6.95738i | −0.309906 | − | 0.309906i | ||||
\(505\) | −1.92097 | − | 1.99486i | −0.0854820 | − | 0.0887703i | ||||
\(506\) | −33.3759 | + | 19.2696i | −1.48374 | + | 0.856637i | ||||
\(507\) | 26.6257 | − | 26.6257i | 1.18249 | − | 1.18249i | ||||
\(508\) | 2.27463 | − | 2.27463i | 0.100920 | − | 0.100920i | ||||
\(509\) | 6.82884 | + | 11.8279i | 0.302683 | + | 0.524263i | 0.976743 | − | 0.214414i | \(-0.0687843\pi\) |
−0.674060 | + | 0.738677i | \(0.735451\pi\) | |||||||
\(510\) | −11.7540 | − | 21.2757i | −0.520474 | − | 0.942102i | ||||
\(511\) | 16.7245 | + | 9.65592i | 0.739850 | + | 0.427153i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −35.7714 | − | 20.6527i | −1.57935 | − | 0.911837i | ||||
\(514\) | −4.89445 | − | 2.82581i | −0.215885 | − | 0.124641i | ||||
\(515\) | 24.3293 | + | 25.2651i | 1.07208 | + | 1.11332i | ||||
\(516\) | 24.5047 | + | 6.56600i | 1.07876 | + | 0.289052i | ||||
\(517\) | −37.6203 | − | 37.6203i | −1.65454 | − | 1.65454i | ||||
\(518\) | 10.0158 | + | 3.75224i | 0.440067 | + | 0.164864i | ||||
\(519\) | − | 39.0911i | − | 1.71591i | ||||||
\(520\) | −0.212968 | − | 0.859349i | −0.00933928 | − | 0.0376849i | ||||
\(521\) | 5.66705 | + | 3.27187i | 0.248278 | + | 0.143343i | 0.618976 | − | 0.785410i | \(-0.287548\pi\) |
−0.370697 | + | 0.928754i | \(0.620881\pi\) | |||||||
\(522\) | −10.2315 | + | 2.74153i | −0.447821 | + | 0.119993i | ||||
\(523\) | −18.1226 | + | 31.3893i | −0.792446 | + | 1.37256i | 0.132002 | + | 0.991249i | \(0.457859\pi\) |
−0.924448 | + | 0.381308i | \(0.875474\pi\) | |||||||
\(524\) | 3.89369 | + | 3.89369i | 0.170097 | + | 0.170097i | ||||
\(525\) | −12.0366 | − | 22.7929i | −0.525320 | − | 0.994765i | ||||
\(526\) | 4.98208 | − | 4.98208i | 0.217229 | − | 0.217229i | ||||
\(527\) | 19.0167 | + | 5.09550i | 0.828379 | + | 0.221963i | ||||
\(528\) | −10.9740 | − | 10.9740i | −0.477580 | − | 0.477580i | ||||
\(529\) | 30.0068 | 1.30464 | ||||||||
\(530\) | −10.3954 | + | 17.2455i | −0.451547 | + | 0.749097i | ||||
\(531\) | −8.38936 | − | 31.3095i | −0.364067 | − | 1.35872i | ||||
\(532\) | 9.54338 | 0.413758 | ||||||||
\(533\) | 2.07799 | − | 1.19973i | 0.0900077 | − | 0.0519659i | ||||
\(534\) | −1.16079 | + | 0.670184i | −0.0502324 | + | 0.0290017i | ||||
\(535\) | 5.92904 | + | 3.57396i | 0.256335 | + | 0.154516i | ||||
\(536\) | −3.42259 | + | 0.917081i | −0.147834 | + | 0.0396119i | ||||
\(537\) | 19.9597 | + | 11.5237i | 0.861325 | + | 0.497286i | ||||
\(538\) | 17.4777 | − | 10.0908i | 0.753519 | − | 0.435044i | ||||
\(539\) | 10.3440 | + | 17.9164i | 0.445548 | + | 0.771712i | ||||
\(540\) | 8.78519 | − | 14.5743i | 0.378054 | − | 0.627176i | ||||
\(541\) | −16.4032 | + | 16.4032i | −0.705230 | + | 0.705230i | −0.965528 | − | 0.260298i | \(-0.916179\pi\) |
0.260298 | + | 0.965528i | \(0.416179\pi\) | |||||||
\(542\) | 5.27948 | − | 9.14432i | 0.226773 | − | 0.392782i | ||||
\(543\) | −7.25385 | − | 1.94366i | −0.311293 | − | 0.0834106i | ||||
\(544\) | 3.70763i | 0.158963i | ||||||||
\(545\) | 2.14367 | + | 3.88022i | 0.0918247 | + | 0.166210i | ||||
\(546\) | 1.76767 | − | 1.02057i | 0.0756495 | − | 0.0436762i | ||||
\(547\) | −4.82213 | −0.206179 | −0.103090 | − | 0.994672i | \(-0.532873\pi\) | ||||
−0.103090 | + | 0.994672i | \(0.532873\pi\) | |||||||
\(548\) | 5.35474 | + | 19.9842i | 0.228743 | + | 0.853682i | ||||
\(549\) | 3.25109 | − | 3.25109i | 0.138753 | − | 0.138753i | ||||
\(550\) | −12.3594 | − | 23.4041i | −0.527005 | − | 0.997956i | ||||
\(551\) | 5.13698 | − | 8.89751i | 0.218843 | − | 0.379047i | ||||
\(552\) | 5.52464 | + | 20.6182i | 0.235144 | + | 0.877570i | ||||
\(553\) | −11.3264 | − | 19.6179i | −0.481647 | − | 0.834237i | ||||
\(554\) | −22.3728 | −0.950529 | ||||||||
\(555\) | −4.59638 | + | 39.6117i | −0.195105 | + | 1.68142i | ||||
\(556\) | −22.2159 | −0.942165 | ||||||||
\(557\) | 0.215707 | + | 0.373616i | 0.00913981 | + | 0.0158306i | 0.870559 | − | 0.492064i | \(-0.163757\pi\) |
−0.861419 | + | 0.507894i | \(0.830424\pi\) | |||||||
\(558\) | 7.69039 | + | 28.7009i | 0.325560 | + | 1.21501i | ||||
\(559\) | −1.71301 | + | 2.96702i | −0.0724527 | + | 0.125492i | ||||
\(560\) | −0.0741820 | + | 3.93106i | −0.00313476 | + | 0.166118i | ||||
\(561\) | 40.6874 | − | 40.6874i | 1.71782 | − | 1.71782i | ||||
\(562\) | −3.22972 | − | 12.0535i | −0.136237 | − | 0.508445i | ||||
\(563\) | −6.79207 | −0.286252 | −0.143126 | − | 0.989704i | \(-0.545715\pi\) | ||||
−0.143126 | + | 0.989704i | \(0.545715\pi\) | |||||||
\(564\) | −25.5196 | + | 14.7337i | −1.07457 | + | 0.620402i | ||||
\(565\) | 10.4044 | − | 36.0917i | 0.437718 | − | 1.51839i | ||||
\(566\) | 27.0858i | 1.13850i | ||||||||
\(567\) | 9.38413 | + | 2.51447i | 0.394096 | + | 0.105598i | ||||
\(568\) | −1.22491 | + | 2.12161i | −0.0513961 | + | 0.0890206i | ||||
\(569\) | −1.81640 | + | 1.81640i | −0.0761474 | + | 0.0761474i | −0.744155 | − | 0.668007i | \(-0.767147\pi\) |
0.668007 | + | 0.744155i | \(0.267147\pi\) | |||||||
\(570\) | 8.55914 | + | 34.5370i | 0.358503 | + | 1.44659i | ||||
\(571\) | 11.8321 | + | 20.4938i | 0.495159 | + | 0.857641i | 0.999984 | − | 0.00558071i | \(-0.00177641\pi\) |
−0.504825 | + | 0.863222i | \(0.668443\pi\) | |||||||
\(572\) | 1.81508 | − | 1.04793i | 0.0758921 | − | 0.0438163i | ||||
\(573\) | 11.5970 | + | 6.69555i | 0.484473 | + | 0.279711i | ||||
\(574\) | −10.2927 | + | 2.75793i | −0.429610 | + | 0.115114i | ||||
\(575\) | −1.37341 | + | 36.3770i | −0.0572751 | + | 1.51702i | ||||
\(576\) | −4.84607 | + | 2.79788i | −0.201919 | + | 0.116578i | ||||
\(577\) | −17.0150 | + | 9.82363i | −0.708344 | + | 0.408963i | −0.810448 | − | 0.585811i | \(-0.800776\pi\) |
0.102103 | + | 0.994774i | \(0.467443\pi\) | |||||||
\(578\) | 3.25345 | 0.135326 | ||||||||
\(579\) | 13.3224 | + | 49.7198i | 0.553659 | + | 2.06628i | ||||
\(580\) | 3.62509 | + | 2.18516i | 0.150523 | + | 0.0907338i | ||||
\(581\) | −3.53128 | −0.146502 | ||||||||
\(582\) | 22.3155 | + | 22.3155i | 0.925007 | + | 0.925007i | ||||
\(583\) | −46.0442 | − | 12.3375i | −1.90696 | − | 0.510968i | ||||
\(584\) | 7.76616 | − | 7.76616i | 0.321366 | − | 0.321366i | ||||
\(585\) | 3.43641 | + | 3.56860i | 0.142078 | + | 0.147543i | ||||
\(586\) | −15.3366 | − | 15.3366i | −0.633548 | − | 0.633548i | ||||
\(587\) | 11.3896 | − | 19.7273i | 0.470098 | − | 0.814234i | −0.529317 | − | 0.848424i | \(-0.677552\pi\) |
0.999415 | + | 0.0341902i | \(0.0108852\pi\) | |||||||
\(588\) | 11.0680 | − | 2.96566i | 0.456436 | − | 0.122302i | ||||
\(589\) | −24.9589 | − | 14.4100i | −1.02841 | − | 0.593754i | ||||
\(590\) | −6.68682 | + | 11.0931i | −0.275292 | + | 0.456698i | ||||
\(591\) | 1.29912i | 0.0534388i | ||||||||
\(592\) | 3.53553 | − | 4.94975i | 0.145310 | − | 0.203433i | ||||
\(593\) | 7.46742 | + | 7.46742i | 0.306650 | + | 0.306650i | 0.843609 | − | 0.536958i | \(-0.180427\pi\) |
−0.536958 | + | 0.843609i | \(0.680427\pi\) | |||||||
\(594\) | 38.9122 | + | 10.4265i | 1.59659 | + | 0.427804i | ||||
\(595\) | −14.5749 | − | 0.275040i | −0.597514 | − | 0.0112755i | ||||
\(596\) | −6.92547 | − | 3.99842i | −0.283678 | − | 0.163782i | ||||
\(597\) | −68.5863 | − | 39.5983i | −2.80705 | − | 1.62065i | ||||
\(598\) | −2.88266 | −0.117881 | ||||||||
\(599\) | −0.384513 | − | 0.221999i | −0.0157108 | − | 0.00907062i | 0.492124 | − | 0.870525i | \(-0.336221\pi\) |
−0.507835 | + | 0.861454i | \(0.669554\pi\) | |||||||
\(600\) | −14.2928 | + | 3.25717i | −0.583502 | + | 0.132974i | ||||
\(601\) | 12.2726 | + | 21.2568i | 0.500609 | + | 0.867081i | 1.00000 | 0.000703826i | \(0.000224035\pi\) | |
−0.499390 | + | 0.866377i | \(0.666443\pi\) | |||||||
\(602\) | 10.7585 | − | 10.7585i | 0.438482 | − | 0.438482i | ||||
\(603\) | 14.0202 | − | 14.0202i | 0.570948 | − | 0.570948i | ||||
\(604\) | −12.3792 | + | 7.14715i | −0.503703 | + | 0.290813i | ||||
\(605\) | 27.4144 | − | 26.3989i | 1.11455 | − | 1.07327i | ||||
\(606\) | −2.56761 | − | 2.56761i | −0.104302 | − | 0.104302i | ||||
\(607\) | −1.89323 | − | 3.27917i | −0.0768439 | − | 0.133098i | 0.825043 | − | 0.565070i | \(-0.191151\pi\) |
−0.901887 | + | 0.431973i | \(0.857818\pi\) | |||||||
\(608\) | 1.40474 | − | 5.24257i | 0.0569698 | − | 0.212614i | ||||
\(609\) | −2.52568 | + | 9.42595i | −0.102346 | + | 0.381959i | ||||
\(610\) | −1.83693 | − | 0.0346643i | −0.0743752 | − | 0.00140351i | ||||
\(611\) | −1.02997 | − | 3.84390i | −0.0416681 | − | 0.155507i | ||||
\(612\) | −10.3735 | − | 17.9674i | −0.419324 | − | 0.726290i | ||||
\(613\) | 5.00768 | + | 1.34180i | 0.202258 | + | 0.0541949i | 0.358526 | − | 0.933520i | \(-0.383280\pi\) |
−0.156267 | + | 0.987715i | \(0.549946\pi\) | |||||||
\(614\) | 3.48080 | − | 12.9905i | 0.140474 | − | 0.524255i | ||||
\(615\) | −19.2120 | − | 34.7753i | −0.774702 | − | 1.40228i | ||||
\(616\) | −8.99046 | + | 2.40899i | −0.362236 | + | 0.0970609i | ||||
\(617\) | −8.27183 | + | 30.8709i | −0.333011 | + | 1.24281i | 0.572998 | + | 0.819557i | \(0.305780\pi\) |
−0.906009 | + | 0.423258i | \(0.860886\pi\) | |||||||
\(618\) | 32.5190 | + | 32.5190i | 1.30811 | + | 1.30811i | ||||
\(619\) | −16.9452 | −0.681086 | −0.340543 | − | 0.940229i | \(-0.610611\pi\) | ||||
−0.340543 | + | 0.940229i | \(0.610611\pi\) | |||||||
\(620\) | 6.12970 | − | 10.1689i | 0.246175 | − | 0.408393i | ||||
\(621\) | −39.1793 | − | 39.1793i | −1.57221 | − | 1.57221i | ||||
\(622\) | −7.78427 | + | 2.08579i | −0.312121 | + | 0.0836325i | ||||
\(623\) | 0.803866i | 0.0322062i | ||||||||
\(624\) | −0.300446 | − | 1.12128i | −0.0120274 | − | 0.0448871i | ||||
\(625\) | −24.9288 | − | 1.88506i | −0.997153 | − | 0.0754023i | ||||
\(626\) | −0.733158 | + | 1.26987i | −0.0293029 | + | 0.0507541i | ||||
\(627\) | −72.9473 | + | 42.1161i | −2.91323 | + | 1.68196i | ||||
\(628\) | 5.70023 | − | 5.70023i | 0.227464 | − | 0.227464i | ||||
\(629\) | 18.3519 | + | 13.1085i | 0.731736 | + | 0.522669i | ||||
\(630\) | −10.6391 | − | 19.2577i | −0.423873 | − | 0.767246i | ||||
\(631\) | 4.85936 | − | 18.1354i | 0.193448 | − | 0.721958i | −0.799215 | − | 0.601045i | \(-0.794751\pi\) |
0.992663 | − | 0.120913i | \(-0.0385822\pi\) | |||||||
\(632\) | −12.4441 | + | 3.33439i | −0.495000 | + | 0.132635i | ||||
\(633\) | 20.9702 | + | 78.2619i | 0.833492 | + | 3.11063i | ||||
\(634\) | −12.0009 | + | 3.21563i | −0.476616 | + | 0.127709i | ||||
\(635\) | 6.29608 | − | 3.47834i | 0.249852 | − | 0.138034i | ||||
\(636\) | −13.2010 | + | 22.8648i | −0.523454 | + | 0.906649i | ||||
\(637\) | 1.54743i | 0.0613113i | ||||||||
\(638\) | −2.59340 | + | 9.67871i | −0.102674 | + | 0.383184i | ||||
\(639\) | − | 13.7086i | − | 0.542303i | ||||||
\(640\) | 2.14857 | + | 0.619385i | 0.0849298 | + | 0.0244833i | ||||
\(641\) | −21.3524 | − | 36.9834i | −0.843367 | − | 1.46076i | −0.887031 | − | 0.461709i | \(-0.847236\pi\) |
0.0436641 | − | 0.999046i | \(-0.486097\pi\) | |||||||
\(642\) | 7.86098 | + | 4.53854i | 0.310248 | + | 0.179122i | ||||
\(643\) | − | 40.4138i | − | 1.59376i | −0.604135 | − | 0.796882i | \(-0.706481\pi\) | ||
0.604135 | − | 0.796882i | \(-0.293519\pi\) | |||||||
\(644\) | 12.3655 | + | 3.31332i | 0.487269 | + | 0.130563i | ||||
\(645\) | 48.5831 | + | 29.2854i | 1.91296 | + | 1.15311i | ||||
\(646\) | 19.4375 | + | 5.20827i | 0.764759 | + | 0.204917i | ||||
\(647\) | −13.5544 | + | 23.4770i | −0.532880 | + | 0.922975i | 0.466383 | + | 0.884583i | \(0.345557\pi\) |
−0.999263 | + | 0.0383921i | \(0.987776\pi\) | |||||||
\(648\) | 2.76260 | − | 4.78497i | 0.108525 | − | 0.187971i | ||||
\(649\) | −29.6179 | − | 7.93609i | −1.16260 | − | 0.311519i | ||||
\(650\) | 0.0746899 | − | 1.97828i | 0.00292958 | − | 0.0775946i | ||||
\(651\) | 26.4412 | + | 7.08490i | 1.03631 | + | 0.277679i | ||||
\(652\) | − | 0.600936i | − | 0.0235345i | ||||||
\(653\) | 3.69595 | + | 2.13386i | 0.144634 | + | 0.0835044i | 0.570571 | − | 0.821249i | \(-0.306722\pi\) |
−0.425937 | + | 0.904753i | \(0.640055\pi\) | |||||||
\(654\) | 2.90619 | + | 5.03367i | 0.113641 | + | 0.196832i | ||||
\(655\) | 5.95418 | + | 10.7776i | 0.232649 | + | 0.421115i | ||||
\(656\) | 6.06017i | 0.236610i | ||||||||
\(657\) | −15.9066 | + | 59.3641i | −0.620574 | + | 2.31601i | ||||
\(658\) | 17.6727i | 0.688953i | ||||||||
\(659\) | 2.86699 | − | 4.96578i | 0.111682 | − | 0.193439i | −0.804766 | − | 0.593592i | \(-0.797709\pi\) |
0.916449 | + | 0.400152i | \(0.131043\pi\) | |||||||
\(660\) | −16.7812 | − | 30.3755i | −0.653209 | − | 1.18236i | ||||
\(661\) | 26.4406 | − | 7.08473i | 1.02842 | − | 0.275564i | 0.295112 | − | 0.955463i | \(-0.404643\pi\) |
0.733306 | + | 0.679899i | \(0.237976\pi\) | |||||||
\(662\) | 0.570816 | + | 2.13031i | 0.0221854 | + | 0.0827970i | ||||
\(663\) | 4.15729 | − | 1.11394i | 0.161456 | − | 0.0432619i | ||||
\(664\) | −0.519789 | + | 1.93988i | −0.0201717 | + | 0.0752818i | ||||
\(665\) | 20.5046 | + | 5.91103i | 0.795136 | + | 0.229220i | ||||
\(666\) | −3.28464 | + | 33.8788i | −0.127277 | + | 1.31278i | ||||
\(667\) | 9.74514 | − | 9.74514i | 0.377333 | − | 0.377333i | ||||
\(668\) | 14.0365 | − | 8.10399i | 0.543090 | − | 0.313553i | ||||
\(669\) | 40.7961 | − | 70.6609i | 1.57727 | − | 2.73191i | ||||
\(670\) | −7.92172 | − | 0.149489i | −0.306043 | − | 0.00577525i | ||||
\(671\) | −1.12569 | − | 4.20112i | −0.0434567 | − | 0.162183i | ||||
\(672\) | 5.15518i | 0.198865i | ||||||||
\(673\) | 9.38545 | − | 2.51482i | 0.361783 | − | 0.0969393i | −0.0733487 | − | 0.997306i | \(-0.523369\pi\) |
0.435131 | + | 0.900367i | \(0.356702\pi\) | |||||||
\(674\) | 15.1705 | + | 15.1705i | 0.584345 | + | 0.584345i | ||||
\(675\) | 27.9027 | − | 25.8724i | 1.07397 | − | 0.995830i | ||||
\(676\) | −12.8432 | −0.493970 | ||||||||
\(677\) | 15.7154 | + | 15.7154i | 0.603991 | + | 0.603991i | 0.941369 | − | 0.337378i | \(-0.109540\pi\) |
−0.337378 | + | 0.941369i | \(0.609540\pi\) | |||||||
\(678\) | 12.7466 | − | 47.5711i | 0.489532 | − | 1.82696i | ||||
\(679\) | 18.2821 | − | 4.89866i | 0.701601 | − | 0.187993i | ||||
\(680\) | −2.29645 | + | 7.96612i | −0.0880650 | + | 0.305487i | ||||
\(681\) | −13.0777 | + | 48.8068i | −0.501140 | + | 1.87028i | ||||
\(682\) | 27.1503 | + | 7.27489i | 1.03964 | + | 0.278570i | ||||
\(683\) | 20.7880 | + | 36.0059i | 0.795430 | + | 1.37773i | 0.922566 | + | 0.385840i | \(0.126088\pi\) |
−0.127135 | + | 0.991885i | \(0.540578\pi\) | |||||||
\(684\) | 7.86059 | + | 29.3361i | 0.300557 | + | 1.12169i | ||||
\(685\) | −0.872849 | + | 46.2541i | −0.0333498 | + | 1.76728i | ||||
\(686\) | 4.96425 | − | 18.5268i | 0.189536 | − | 0.707357i | ||||
\(687\) | 6.10300 | − | 22.7767i | 0.232844 | − | 0.868986i | ||||
\(688\) | −4.32646 | − | 7.49365i | −0.164945 | − | 0.285693i | ||||
\(689\) | −2.52120 | − | 2.52120i | −0.0960502 | − | 0.0960502i | ||||
\(690\) | −0.900542 | + | 47.7216i | −0.0342831 | + | 1.81673i | ||||
\(691\) | 37.3098 | − | 21.5408i | 1.41933 | − | 0.819451i | 0.423091 | − | 0.906087i | \(-0.360945\pi\) |
0.996240 | + | 0.0866365i | \(0.0276119\pi\) | |||||||
\(692\) | −9.42803 | + | 9.42803i | −0.358400 | + | 0.358400i | ||||
\(693\) | 36.8283 | − | 36.8283i | 1.39899 | − | 1.39899i | ||||
\(694\) | 7.69985 | + | 13.3365i | 0.292282 | + | 0.506248i | ||||
\(695\) | −47.7325 | − | 13.7602i | −1.81060 | − | 0.521955i | ||||
\(696\) | 4.80629 | + | 2.77491i | 0.182182 | + | 0.105183i | ||||
\(697\) | −22.4689 | −0.851070 | ||||||||
\(698\) | 10.8175 | + | 6.24552i | 0.409450 | + | 0.236396i | ||||
\(699\) | −54.0624 | − | 31.2129i | −2.04483 | − | 1.18058i | ||||
\(700\) | −2.59423 | + | 8.40022i | −0.0980525 | + | 0.317498i | ||||
\(701\) | 23.0701 | + | 6.18163i | 0.871347 | + | 0.233477i | 0.666670 | − | 0.745353i | \(-0.267719\pi\) |
0.204677 | + | 0.978830i | \(0.434386\pi\) | |||||||
\(702\) | 2.13068 | + | 2.13068i | 0.0804173 | + | 0.0804173i | ||||
\(703\) | −20.9829 | − | 25.4884i | −0.791384 | − | 0.961313i | ||||
\(704\) | 5.29342i | 0.199503i | ||||||||
\(705\) | −63.9564 | + | 15.8500i | −2.40874 | + | 0.596947i | ||||
\(706\) | −11.9913 | − | 6.92318i | −0.451298 | − | 0.260557i | ||||
\(707\) | −2.10352 | + | 0.563637i | −0.0791111 | + | 0.0211978i | ||||
\(708\) | −8.49153 | + | 14.7078i | −0.319131 | + | 0.552752i | ||||
\(709\) | −21.5173 | − | 21.5173i | −0.808098 | − | 0.808098i | 0.176248 | − | 0.984346i | \(-0.443604\pi\) |
−0.984346 | + | 0.176248i | \(0.943604\pi\) | |||||||
\(710\) | −3.94590 | + | 3.79973i | −0.148087 | + | 0.142601i | ||||
\(711\) | 50.9757 | − | 50.9757i | 1.91174 | − | 1.91174i | ||||
\(712\) | 0.441597 | + | 0.118325i | 0.0165495 | + | 0.00443443i | ||||
\(713\) | −27.3366 | − | 27.3366i | −1.02376 | − | 1.02376i | ||||
\(714\) | −19.1135 | −0.715306 | ||||||||
\(715\) | 4.54889 | − | 1.12733i | 0.170119 | − | 0.0421598i | ||||
\(716\) | −2.03459 | − | 7.59321i | −0.0760363 | − | 0.283771i | ||||
\(717\) | −27.9880 | −1.04523 | ||||||||
\(718\) | −22.4654 | + | 12.9704i | −0.838402 | + | 0.484052i | ||||
\(719\) | 18.6677 | − | 10.7778i | 0.696188 | − | 0.401944i | −0.109738 | − | 0.993961i | \(-0.535001\pi\) |
0.805926 | + | 0.592016i | \(0.201668\pi\) | |||||||
\(720\) | −12.1451 | + | 3.00986i | −0.452621 | + | 0.112171i | ||||
\(721\) | 26.6413 | − | 7.13852i | 0.992174 | − | 0.265852i | ||||
\(722\) | −9.05673 | − | 5.22891i | −0.337057 | − | 0.194600i | ||||
\(723\) | 10.1725 | − | 5.87309i | 0.378319 | − | 0.218423i | ||||
\(724\) | 1.28072 | + | 2.21827i | 0.0475974 | + | 0.0824412i | ||||
\(725\) | 6.43530 | + | 6.94030i | 0.239001 | + | 0.257756i | ||||
\(726\) | 35.2853 | − | 35.2853i | 1.30956 | − | 1.30956i | ||||
\(727\) | 13.8287 | − | 23.9521i | 0.512879 | − | 0.888333i | −0.487009 | − | 0.873397i | \(-0.661912\pi\) |
0.999888 | − | 0.0149359i | \(-0.00475442\pi\) | |||||||
\(728\) | −0.672471 | − | 0.180188i | −0.0249234 | − | 0.00667821i | ||||
\(729\) | − | 36.0197i | − | 1.33406i | ||||||
\(730\) | 21.4964 | − | 11.8759i | 0.795618 | − | 0.439547i | ||||
\(731\) | 27.7837 | − | 16.0409i | 1.02762 | − | 0.593295i | ||||
\(732\) | −2.40895 | −0.0890373 | ||||||||
\(733\) | −11.3795 | − | 42.4690i | −0.420312 | − | 1.56863i | −0.773951 | − | 0.633245i | \(-0.781723\pi\) |
0.353639 | − | 0.935382i | \(-0.384944\pi\) | |||||||
\(734\) | 3.28157 | − | 3.28157i | 0.121125 | − | 0.121125i | ||||
\(735\) | 25.6172 | + | 0.483416i | 0.944906 | + | 0.0178311i | ||||
\(736\) | 3.64029 | − | 6.30516i | 0.134183 | − | 0.232411i | ||||
\(737\) | −4.85450 | − | 18.1172i | −0.178818 | − | 0.667357i | ||||
\(738\) | −16.9556 | − | 29.3680i | −0.624145 | − | 1.08105i | ||||
\(739\) | 33.8211 | 1.24413 | 0.622064 | − | 0.782967i | \(-0.286294\pi\) | ||||
0.622064 | + | 0.782967i | \(0.286294\pi\) | |||||||
\(740\) | 10.6621 | − | 8.44503i | 0.391948 | − | 0.310446i | ||||
\(741\) | −6.30043 | −0.231452 | ||||||||
\(742\) | 7.91712 | + | 13.7129i | 0.290647 | + | 0.503415i | ||||
\(743\) | −0.0771256 | − | 0.287837i | −0.00282946 | − | 0.0105597i | 0.964497 | − | 0.264095i | \(-0.0850733\pi\) |
−0.967326 | + | 0.253535i | \(0.918407\pi\) | |||||||
\(744\) | 7.78405 | − | 13.4824i | 0.285377 | − | 0.494288i | ||||
\(745\) | −12.4033 | − | 12.8804i | −0.454422 | − | 0.471903i | ||||
\(746\) | 10.2492 | − | 10.2492i | 0.375251 | − | 0.375251i | ||||
\(747\) | −2.90861 | − | 10.8551i | −0.106420 | − | 0.397166i | ||||
\(748\) | −19.6261 | −0.717600 | ||||||||
\(749\) | 4.71451 | − | 2.72192i | 0.172264 | − | 0.0994569i | ||||
\(750\) | −32.7266 | − | 1.85449i | −1.19501 | − | 0.0677163i | ||||
\(751\) | 42.9846i | 1.56853i | 0.620426 | + | 0.784265i | \(0.286960\pi\) | ||||
−0.620426 | + | 0.784265i | \(0.713040\pi\) | |||||||
\(752\) | 9.70832 | + | 2.60134i | 0.354026 | + | 0.0948610i | ||||
\(753\) | 14.0849 | − | 24.3958i | 0.513282 | − | 0.889031i | ||||
\(754\) | −0.529969 | + | 0.529969i | −0.0193003 | + | 0.0193003i | ||||
\(755\) | −31.0245 | + | 7.68866i | −1.12910 | + | 0.279819i | ||||
\(756\) | −6.69079 | − | 11.5888i | −0.243342 | − | 0.421480i | ||||
\(757\) | 9.93843 | − | 5.73795i | 0.361218 | − | 0.208549i | −0.308397 | − | 0.951258i | \(-0.599792\pi\) |
0.669615 | + | 0.742708i | \(0.266459\pi\) | |||||||
\(758\) | 3.28199 | + | 1.89486i | 0.119207 | + | 0.0688244i | ||||
\(759\) | −109.141 | + | 29.2442i | −3.96157 | + | 1.06150i | ||||
\(760\) | 6.26536 | − | 10.3940i | 0.227268 | − | 0.377028i | ||||
\(761\) | −43.7719 | + | 25.2717i | −1.58673 | + | 0.916100i | −0.592890 | + | 0.805283i | \(0.702013\pi\) |
−0.993841 | + | 0.110817i | \(0.964653\pi\) | |||||||
\(762\) | 8.16768 | − | 4.71561i | 0.295884 | − | 0.170829i | ||||
\(763\) | 3.48589 | 0.126198 | ||||||||
\(764\) | −1.18214 | − | 4.41182i | −0.0427685 | − | 0.159614i | ||||
\(765\) | −11.1595 | − | 45.0295i | −0.403471 | − | 1.62805i | ||||
\(766\) | 31.3749 | 1.13362 | ||||||||
\(767\) | −1.62176 | − | 1.62176i | −0.0585584 | − | 0.0585584i | ||||
\(768\) | 2.83195 | + | 0.758819i | 0.102189 | + | 0.0273815i | ||||
\(769\) | 20.6641 | − | 20.6641i | 0.745167 | − | 0.745167i | −0.228400 | − | 0.973567i | \(-0.573349\pi\) |
0.973567 | + | 0.228400i | \(0.0733495\pi\) | |||||||
\(770\) | −20.8087 | − | 0.392676i | −0.749895 | − | 0.0141511i | ||||
\(771\) | −11.7166 | − | 11.7166i | −0.421961 | − | 0.421961i | ||||
\(772\) | 8.77836 | − | 15.2046i | 0.315940 | − | 0.547224i | ||||
\(773\) | −41.3185 | + | 11.0713i | −1.48612 | + | 0.398205i | −0.908426 | − | 0.418046i | \(-0.862715\pi\) |
−0.577697 | + | 0.816252i | \(0.696048\pi\) | |||||||
\(774\) | 41.9326 | + | 24.2098i | 1.50724 | + | 0.870204i | ||||
\(775\) | 19.4686 | − | 18.0520i | 0.699332 | − | 0.648447i | ||||
\(776\) | − | 10.7641i | − | 0.386410i | ||||||
\(777\) | 25.5168 | + | 18.2263i | 0.915412 | + | 0.653865i | ||||
\(778\) | −7.59621 | − | 7.59621i | −0.272337 | − | 0.272337i | ||||
\(779\) | 31.7709 | + | 8.51297i | 1.13831 | + | 0.305009i | ||||
\(780\) | 0.0489741 | − | 2.59524i | 0.00175355 | − | 0.0929244i | ||||
\(781\) | −11.2305 | − | 6.48396i | −0.401861 | − | 0.232014i | ||||
\(782\) | 23.3772 | + | 13.4968i | 0.835968 | + | 0.482646i | ||||
\(783\) | −14.4060 | −0.514828 | ||||||||
\(784\) | −3.38465 | − | 1.95413i | −0.120880 | − | 0.0697903i | ||||
\(785\) | 15.7780 | − | 8.71671i | 0.563140 | − | 0.311113i | ||||
\(786\) | 8.07214 | + | 13.9814i | 0.287924 | + | 0.498698i | ||||
\(787\) | 24.7659 | − | 24.7659i | 0.882811 | − | 0.882811i | −0.111009 | − | 0.993819i | \(-0.535408\pi\) |
0.993819 | + | 0.111009i | \(0.0354082\pi\) | |||||||
\(788\) | 0.313324 | − | 0.313324i | 0.0111617 | − | 0.0111617i | ||||
\(789\) | 17.8895 | − | 10.3285i | 0.636883 | − | 0.367704i | ||||
\(790\) | −28.8023 | − | 0.543521i | −1.02474 | − | 0.0193376i | ||||
\(791\) | −20.8855 | − | 20.8855i | −0.742602 | − | 0.742602i | ||||
\(792\) | −14.8103 | − | 25.6523i | −0.526262 | − | 0.911513i | ||||
\(793\) | 0.0841995 | − | 0.314237i | 0.00299001 | − | 0.0111589i | ||||
\(794\) | 0.727250 | − | 2.71413i | 0.0258091 | − | 0.0963210i | ||||
\(795\) | −42.5255 | + | 40.9502i | −1.50822 | + | 1.45235i | ||||
\(796\) | 6.99135 | + | 26.0921i | 0.247802 | + | 0.924809i | ||||
\(797\) | −0.0523506 | − | 0.0906740i | −0.00185435 | − | 0.00321184i | 0.865097 | − | 0.501605i | \(-0.167257\pi\) |
−0.866951 | + | 0.498393i | \(0.833924\pi\) | |||||||
\(798\) | 27.0264 | + | 7.24170i | 0.956724 | + | 0.256353i | ||||
\(799\) | −9.64481 | + | 35.9949i | −0.341209 | + | 1.27341i | ||||
\(800\) | 4.23272 | + | 2.66159i | 0.149649 | + | 0.0941013i | ||||
\(801\) | −2.47107 | + | 0.662120i | −0.0873108 | + | 0.0233949i | ||||
\(802\) | −0.429127 | + | 1.60152i | −0.0151530 | + | 0.0565518i | ||||
\(803\) | 41.1096 | + | 41.1096i | 1.45073 | + | 1.45073i | ||||
\(804\) | −10.3885 | −0.366375 | ||||||||
\(805\) | 24.5159 | + | 14.7779i | 0.864073 | + | 0.520853i | ||||
\(806\) | 1.48664 | + | 1.48664i | 0.0523647 | + | 0.0523647i | ||||
\(807\) | 57.1532 | − | 15.3141i | 2.01189 | − | 0.539084i | ||||
\(808\) | 1.23852i | 0.0435708i | ||||||||
\(809\) | −0.335132 | − | 1.25073i | −0.0117826 | − | 0.0439732i | 0.959784 | − | 0.280739i | \(-0.0905794\pi\) |
−0.971567 | + | 0.236765i | \(0.923913\pi\) | |||||||
\(810\) | 8.89938 | − | 8.56973i | 0.312692 | − | 0.301110i | ||||
\(811\) | 12.1384 | − | 21.0244i | 0.426238 | − | 0.738267i | −0.570297 | − | 0.821439i | \(-0.693172\pi\) |
0.996535 | + | 0.0831721i | \(0.0265051\pi\) | |||||||
\(812\) | 2.88251 | − | 1.66422i | 0.101156 | − | 0.0584025i | ||||
\(813\) | 21.8901 | − | 21.8901i | 0.767719 | − | 0.767719i | ||||
\(814\) | 26.2011 | + | 18.7151i | 0.918348 | + | 0.655963i | ||||
\(815\) | 0.372211 | − | 1.29115i | 0.0130380 | − | 0.0452271i | ||||
\(816\) | −2.81342 | + | 10.4998i | −0.0984895 | + | 0.367568i | ||||
\(817\) | −45.3635 | + | 12.1551i | −1.58707 | + | 0.425254i | ||||
\(818\) | −8.27974 | − | 30.9004i | −0.289494 | − | 1.08041i | ||||
\(819\) | 3.76298 | − | 1.00829i | 0.131489 | − | 0.0352324i | ||||
\(820\) | −3.75358 | + | 13.0207i | −0.131081 | + | 0.454703i | ||||
\(821\) | −3.54806 | + | 6.14541i | −0.123828 | + | 0.214476i | −0.921274 | − | 0.388914i | \(-0.872850\pi\) |
0.797446 | + | 0.603390i | \(0.206184\pi\) | |||||||
\(822\) | 60.6575i | 2.11567i | ||||||||
\(823\) | 3.26815 | − | 12.1969i | 0.113921 | − | 0.425158i | −0.885283 | − | 0.465052i | \(-0.846036\pi\) |
0.999204 | + | 0.0398946i | \(0.0127022\pi\) | |||||||
\(824\) | − | 15.6859i | − | 0.546445i | ||||||
\(825\) | −17.2416 | − | 75.6579i | −0.600275 | − | 2.63407i | ||||
\(826\) | 5.09267 | + | 8.82077i | 0.177197 | + | 0.306914i | ||||
\(827\) | 24.8917 | + | 14.3712i | 0.865570 | + | 0.499737i | 0.865873 | − | 0.500263i | \(-0.166763\pi\) |
−0.000303909 | 1.00000i | \(0.500097\pi\) | ||||||||
\(828\) | 40.7403i | 1.41582i | ||||||||
\(829\) | −9.88765 | − | 2.64939i | −0.343412 | − | 0.0920171i | 0.0829907 | − | 0.996550i | \(-0.473553\pi\) |
−0.426403 | + | 0.904533i | \(0.640219\pi\) | |||||||
\(830\) | −2.31833 | + | 3.84602i | −0.0804706 | + | 0.133497i | ||||
\(831\) | −63.3587 | − | 16.9769i | −2.19789 | − | 0.588923i | ||||
\(832\) | −0.197969 | + | 0.342893i | −0.00686335 | + | 0.0118877i | ||||
\(833\) | 7.24519 | − | 12.5490i | 0.251031 | − | 0.434798i | ||||
\(834\) | −62.9144 | − | 16.8579i | −2.17855 | − | 0.583740i | ||||
\(835\) | 35.1780 | − | 8.71800i | 1.21738 | − | 0.301699i | ||||
\(836\) | 27.7511 | + | 7.43589i | 0.959792 | + | 0.257176i | ||||
\(837\) | 40.4110i | 1.39681i | ||||||||
\(838\) | 3.92076 | + | 2.26365i | 0.135440 | + | 0.0781965i | ||||
\(839\) | 7.06834 | + | 12.2427i | 0.244026 | + | 0.422666i | 0.961857 | − | 0.273551i | \(-0.0881983\pi\) |
−0.717831 | + | 0.696217i | \(0.754865\pi\) | |||||||
\(840\) | −3.19304 | + | 11.0763i | −0.110170 | + | 0.382168i | ||||
\(841\) | 25.4168i | 0.876440i | ||||||||
\(842\) | −5.99534 | + | 22.3749i | −0.206613 | + | 0.771090i | ||||
\(843\) | − | 36.5856i | − | 1.26008i | ||||||
\(844\) | 13.8177 | − | 23.9329i | 0.475624 | − | 0.823805i | ||||
\(845\) | −27.5946 | − | 7.95491i | −0.949283 | − | 0.273657i | ||||
\(846\) | −54.3254 | + | 14.5564i | −1.86775 | + | 0.500461i | ||||
\(847\) | −7.74578 | − | 28.9076i | −0.266148 | − | 0.993279i | ||||
\(848\) | 8.69839 | − | 2.33073i | 0.298704 | − | 0.0800375i | ||||
\(849\) | −20.5532 | + | 76.7056i | −0.705384 | + | 2.63253i | ||||
\(850\) | −9.86819 | + | 15.6934i | −0.338476 | + | 0.538279i | ||||
\(851\) | −18.3386 | − | 40.3106i | −0.628639 | − | 1.38183i | ||||
\(852\) | −5.07880 | + | 5.07880i | −0.173997 | + | 0.173997i | ||||
\(853\) | −29.7522 | + | 17.1775i | −1.01870 | + | 0.588145i | −0.913726 | − | 0.406330i | \(-0.866808\pi\) |
−0.104971 | + | 0.994475i | \(0.533475\pi\) | |||||||
\(854\) | −0.722366 | + | 1.25117i | −0.0247189 | + | 0.0428143i | ||||
\(855\) | −1.28131 | + | 67.8995i | −0.0438200 | + | 2.32211i | ||||
\(856\) | −0.801309 | − | 2.99053i | −0.0273882 | − | 0.102214i | ||||
\(857\) | 42.9846i | 1.46833i | 0.678973 | + | 0.734164i | \(0.262426\pi\) | ||||
−0.678973 | + | 0.734164i | \(0.737574\pi\) | |||||||
\(858\) | 5.93540 | − | 1.59038i | 0.202631 | − | 0.0542948i | ||||
\(859\) | 2.89013 | + | 2.89013i | 0.0986099 | + | 0.0986099i | 0.754691 | − | 0.656081i | \(-0.227787\pi\) |
−0.656081 | + | 0.754691i | \(0.727787\pi\) | |||||||
\(860\) | −4.65426 | − | 18.7804i | −0.158709 | − | 0.640406i | ||||
\(861\) | −31.2413 | −1.06470 | ||||||||
\(862\) | −5.26993 | − | 5.26993i | −0.179494 | − | 0.179494i | ||||
\(863\) | −3.90885 | + | 14.5880i | −0.133059 | + | 0.496582i | −0.999998 | − | 0.00183104i | \(-0.999417\pi\) |
0.866939 | + | 0.498413i | \(0.166084\pi\) | |||||||
\(864\) | −7.35105 | + | 1.96971i | −0.250088 | + | 0.0670108i | ||||
\(865\) | −26.0964 | + | 14.4172i | −0.887304 | + | 0.490200i | ||||
\(866\) | 1.82503 | − | 6.81110i | 0.0620170 | − | 0.231451i | ||||
\(867\) | 9.21362 | + | 2.46878i | 0.312911 | + | 0.0838442i | ||||
\(868\) | −4.66837 | − | 8.08586i | −0.158455 | − | 0.274452i | ||||
\(869\) | −17.6503 | − | 65.8718i | −0.598746 | − | 2.23455i | ||||
\(870\) | 8.60792 | + | 8.93905i | 0.291836 | + | 0.303062i | ||||
\(871\) | 0.363108 | − | 1.35514i | 0.0123034 | − | 0.0459171i | ||||
\(872\) | 0.513107 | − | 1.91494i | 0.0173760 | − | 0.0648481i | ||||
\(873\) | 30.1167 | + | 52.1637i | 1.01930 | + | 1.76547i | ||||
\(874\) | −27.9416 | − | 27.9416i | −0.945138 | − | 0.945138i | ||||
\(875\) | −10.7768 | + | 16.4416i | −0.364324 | + | 0.555829i | ||||
\(876\) | 27.8865 | − | 16.1003i | 0.942198 | − | 0.543978i | ||||
\(877\) | −22.1626 | + | 22.1626i | −0.748378 | + | 0.748378i | −0.974175 | − | 0.225796i | \(-0.927502\pi\) |
0.225796 | + | 0.974175i | \(0.427502\pi\) | |||||||
\(878\) | −1.53362 | + | 1.53362i | −0.0517571 | + | 0.0517571i | ||||
\(879\) | −31.7947 | − | 55.0701i | −1.07241 | − | 1.85747i | ||||
\(880\) | −3.27867 | + | 11.3733i | −0.110524 | + | 0.383394i | ||||
\(881\) | −24.2620 | − | 14.0077i | −0.817407 | − | 0.471930i | 0.0321147 | − | 0.999484i | \(-0.489776\pi\) |
−0.849521 | + | 0.527554i | \(0.823109\pi\) | |||||||
\(882\) | 21.8696 | 0.736389 | ||||||||
\(883\) | −19.6051 | − | 11.3190i | −0.659764 | − | 0.380915i | 0.132423 | − | 0.991193i | \(-0.457724\pi\) |
−0.792187 | + | 0.610278i | \(0.791058\pi\) | |||||||
\(884\) | −1.27132 | − | 0.733997i | −0.0427591 | − | 0.0246870i | ||||
\(885\) | −27.3544 | + | 26.3412i | −0.919509 | + | 0.885448i | ||||
\(886\) | −20.5941 | − | 5.51818i | −0.691873 | − | 0.185387i | ||||
\(887\) | 31.2178 | + | 31.2178i | 1.04819 | + | 1.04819i | 0.998778 | + | 0.0494116i | \(0.0157346\pi\) |
0.0494116 | + | 0.998778i | \(0.484265\pi\) | |||||||
\(888\) | 13.7684 | − | 11.3346i | 0.462038 | − | 0.380365i | ||||
\(889\) | − | 5.65624i | − | 0.189704i | ||||||
\(890\) | 0.875513 | + | 0.527749i | 0.0293473 | + | 0.0176902i | ||||
\(891\) | 25.3288 | + | 14.6236i | 0.848548 | + | 0.489909i | ||||
\(892\) | −26.8813 | + | 7.20282i | −0.900052 | + | 0.241168i | ||||
\(893\) | 27.2754 | − | 47.2423i | 0.912736 | − | 1.58090i | ||||
\(894\) | −16.5785 | − | 16.5785i | −0.554469 | − | 0.554469i | ||||
\(895\) | 0.331648 | − | 17.5747i | 0.0110858 | − | 0.587459i | ||||
\(896\) | 1.24333 | − | 1.24333i | 0.0415368 | − | 0.0415368i | ||||
\(897\) | −8.16355 | − | 2.18742i | −0.272573 | − | 0.0730357i | ||||
\(898\) | −21.8292 | − | 21.8292i | −0.728449 | − | 0.728449i | ||||
\(899\) | −10.0515 | −0.335237 | ||||||||
\(900\) | −27.9589 | − | 1.05558i | −0.931962 | − | 0.0351861i | ||||
\(901\) | 8.64148 | + | 32.2505i | 0.287890 | + | 1.07442i | ||||
\(902\) | −32.0790 | −1.06811 | ||||||||
\(903\) | 38.6311 | − | 22.3037i | 1.28556 | − | 0.742220i | ||||
\(904\) | −14.5475 | + | 8.39900i | −0.483843 | + | 0.279347i | ||||
\(905\) | 1.37775 | + | 5.55936i | 0.0457980 | + | 0.184799i | ||||
\(906\) | −40.4808 | + | 10.8468i | −1.34488 | + | 0.360360i | ||||
\(907\) | −21.0297 | − | 12.1415i | −0.698280 | − | 0.403152i | 0.108427 | − | 0.994104i | \(-0.465419\pi\) |
−0.806706 | + | 0.590952i | \(0.798752\pi\) | |||||||
\(908\) | 14.9254 | − | 8.61717i | 0.495316 | − | 0.285971i | ||||
\(909\) | −3.46521 | − | 6.00193i | −0.114934 | − | 0.199071i | ||||
\(910\) | −1.33325 | − | 0.803665i | −0.0441967 | − | 0.0266412i | ||||
\(911\) | 7.00677 | − | 7.00677i | 0.232145 | − | 0.232145i | −0.581443 | − | 0.813587i | \(-0.697512\pi\) |
0.813587 | + | 0.581443i | \(0.197512\pi\) | |||||||
\(912\) | 7.95632 | − | 13.7808i | 0.263460 | − | 0.456326i | ||||
\(913\) | −10.2686 | − | 2.75146i | −0.339841 | − | 0.0910600i | ||||
\(914\) | 6.88393i | 0.227700i | ||||||||
\(915\) | −5.17580 | − | 1.49207i | −0.171107 | − | 0.0493262i | ||||
\(916\) | −6.96524 | + | 4.02138i | −0.230138 | + | 0.132870i | ||||
\(917\) | 9.68230 | 0.319738 | ||||||||
\(918\) | −7.30295 | − | 27.2550i | −0.241033 | − | 0.899549i | ||||
\(919\) | −7.04314 | + | 7.04314i | −0.232332 | + | 0.232332i | −0.813665 | − | 0.581334i | \(-0.802531\pi\) |
0.581334 | + | 0.813665i | \(0.302531\pi\) | |||||||
\(920\) | 11.7267 | − | 11.2924i | 0.386619 | − | 0.372298i | ||||
\(921\) | 19.7149 | − | 34.1473i | 0.649629 | − | 1.12519i | ||||
\(922\) | −4.89500 | − | 18.2684i | −0.161208 | − | 0.601637i | ||||
\(923\) | −0.484989 | − | 0.840025i | −0.0159636 | − | 0.0276498i | ||||
\(924\) | −27.2885 | −0.897727 | ||||||||
\(925\) | 28.1391 | − | 11.5408i | 0.925209 | − | 0.379459i | ||||
\(926\) | 16.4251 | 0.539764 | ||||||||
\(927\) | 43.8873 | + | 76.0150i | 1.44145 | + | 2.49666i | ||||
\(928\) | −0.489930 | − | 1.82844i | −0.0160827 | − | 0.0600216i | ||||
\(929\) | 1.73828 | − | 3.01078i | 0.0570310 | − | 0.0987806i | −0.836100 | − | 0.548577i | \(-0.815170\pi\) |
0.893131 | + | 0.449796i | \(0.148503\pi\) | |||||||
\(930\) | 25.0754 | − | 24.1465i | 0.822254 | − | 0.791796i | ||||
\(931\) | −14.9992 | + | 14.9992i | −0.491579 | + | 0.491579i | ||||
\(932\) | 5.51085 | + | 20.5668i | 0.180514 | + | 0.673687i | ||||
\(933\) | −23.6274 | −0.773526 | ||||||||
\(934\) | −13.5633 | + | 7.83079i | −0.443806 | + | 0.256231i | ||||
\(935\) | −42.1680 | − | 12.1561i | −1.37904 | − | 0.397547i | ||||
\(936\) | − | 2.21557i | − | 0.0724183i | ||||||
\(937\) | −18.0318 | − | 4.83161i | −0.589074 | − | 0.157842i | −0.0480439 | − | 0.998845i | \(-0.515299\pi\) |
−0.541030 | + | 0.841003i | \(0.681965\pi\) | |||||||
\(938\) | −3.11518 | + | 5.39566i | −0.101714 | + | 0.176174i | ||||
\(939\) | −3.03987 | + | 3.03987i | −0.0992023 | + | 0.0992023i | ||||
\(940\) | 19.2478 | + | 11.6024i | 0.627794 | + | 0.378427i | ||||
\(941\) | 26.8917 | + | 46.5777i | 0.876643 | + | 1.51839i | 0.855002 | + | 0.518624i | \(0.173556\pi\) |
0.0216408 | + | 0.999766i | \(0.493111\pi\) | |||||||
\(942\) | 20.4682 | − | 11.8173i | 0.666890 | − | 0.385029i | ||||
\(943\) | 38.2104 | + | 22.0608i | 1.24430 | + | 0.718397i | ||||
\(944\) | 5.59523 | − | 1.49924i | 0.182109 | − | 0.0487960i | ||||
\(945\) | −7.19772 | − | 29.0435i | −0.234142 | − | 0.944786i | ||||
\(946\) | 39.6670 | − | 22.9018i | 1.28969 | − | 0.744601i | ||||
\(947\) | −19.2168 | + | 11.0948i | −0.624461 | + | 0.360533i | −0.778604 | − | 0.627516i | \(-0.784072\pi\) |
0.154143 | + | 0.988049i | \(0.450738\pi\) | |||||||
\(948\) | −37.7713 | −1.22675 | ||||||||
\(949\) | 1.12550 | + | 4.20042i | 0.0365353 | + | 0.136351i | ||||
\(950\) | 19.8994 | − | 18.4515i | 0.645623 | − | 0.598646i | ||||
\(951\) | −36.4260 | −1.18119 | ||||||||
\(952\) | 4.60982 | + | 4.60982i | 0.149405 | + | 0.149405i | ||||
\(953\) | −28.6102 | − | 7.66607i | −0.926774 | − | 0.248328i | −0.236296 | − | 0.971681i | \(-0.575933\pi\) |
−0.690479 | + | 0.723353i | \(0.742600\pi\) | |||||||
\(954\) | −35.6319 | + | 35.6319i | −1.15363 | + | 1.15363i | ||||
\(955\) | 0.192695 | − | 10.2113i | 0.00623547 | − | 0.330431i | ||||
\(956\) | 6.75018 | + | 6.75018i | 0.218316 | + | 0.218316i | ||||
\(957\) | −14.6888 | + | 25.4417i | −0.474821 | + | 0.822414i | ||||
\(958\) | −5.92489 | + | 1.58757i | −0.191424 | + | 0.0512920i | ||||
\(959\) | 31.5047 | + | 18.1892i | 1.01734 | + | 0.587361i | ||||
\(960\) | 5.61465 | + | 3.38445i | 0.181212 | + | 0.109233i | ||||
\(961\) | − | 2.80400i | − | 0.0904516i | ||||||
\(962\) | 0.997305 | + | 2.19221i | 0.0321544 | + | 0.0706796i | ||||
\(963\) | 12.2503 | + | 12.2503i | 0.394761 | + | 0.394761i | ||||
\(964\) | −3.86989 | − | 1.03693i | −0.124641 | − | 0.0333974i | ||||
\(965\) | 28.2784 | − | 27.2309i | 0.910314 | − | 0.876594i | ||||
\(966\) | 32.5042 | + | 18.7663i | 1.04581 | + | 0.603797i | ||||
\(967\) | 46.1225 | + | 26.6289i | 1.48320 | + | 0.856327i | 0.999818 | − | 0.0190824i | \(-0.00607447\pi\) |
0.483383 | + | 0.875409i | \(0.339408\pi\) | |||||||
\(968\) | −17.0203 | −0.547053 | ||||||||
\(969\) | 51.0940 | + | 29.4991i | 1.64137 | + | 0.947648i | ||||
\(970\) | 6.66715 | − | 23.1275i | 0.214069 | − | 0.742580i | ||||
\(971\) | −19.1752 | − | 33.2124i | −0.615361 | − | 1.06584i | −0.990321 | − | 0.138796i | \(-0.955677\pi\) |
0.374960 | − | 0.927041i | \(-0.377657\pi\) | |||||||
\(972\) | −4.68955 | + | 4.68955i | −0.150417 | + | 0.150417i | ||||
\(973\) | −27.6218 | + | 27.6218i | −0.885513 | + | 0.885513i | ||||
\(974\) | 36.3688 | − | 20.9976i | 1.16533 | − | 0.672805i | ||||
\(975\) | 1.71268 | − | 5.54572i | 0.0548495 | − | 0.177605i | ||||
\(976\) | 0.580992 | + | 0.580992i | 0.0185971 | + | 0.0185971i | ||||
\(977\) | −11.3284 | − | 19.6214i | −0.362428 | − | 0.627744i | 0.625932 | − | 0.779878i | \(-0.284719\pi\) |
−0.988360 | + | 0.152134i | \(0.951386\pi\) | |||||||
\(978\) | 0.456001 | − | 1.70182i | 0.0145813 | − | 0.0544182i | ||||
\(979\) | −0.626346 | + | 2.33756i | −0.0200181 | + | 0.0747086i | ||||
\(980\) | −6.06180 | − | 6.29498i | −0.193637 | − | 0.201086i | ||||
\(981\) | 2.87122 | + | 10.7155i | 0.0916711 | + | 0.342121i | ||||
\(982\) | 0.617167 | + | 1.06896i | 0.0196946 | + | 0.0341120i | ||||
\(983\) | −32.3781 | − | 8.67568i | −1.03270 | − | 0.276711i | −0.297615 | − | 0.954686i | \(-0.596191\pi\) |
−0.735085 | + | 0.677975i | \(0.762858\pi\) | |||||||
\(984\) | −4.59857 | + | 17.1621i | −0.146597 | + | 0.547108i | ||||
\(985\) | 0.867267 | − | 0.479131i | 0.0276334 | − | 0.0152664i | ||||
\(986\) | 6.77920 | − | 1.81648i | 0.215894 | − | 0.0578485i | ||||
\(987\) | −13.4104 | + | 50.0482i | −0.426857 | + | 1.59305i | ||||
\(988\) | 1.51954 | + | 1.51954i | 0.0483431 | + | 0.0483431i | ||||
\(989\) | −62.9983 | −2.00323 | ||||||||
\(990\) | −15.9325 | − | 64.2890i | −0.506367 | − | 2.04324i | ||||
\(991\) | 22.5979 | + | 22.5979i | 0.717847 | + | 0.717847i | 0.968164 | − | 0.250317i | \(-0.0805347\pi\) |
−0.250317 | + | 0.968164i | \(0.580535\pi\) | |||||||
\(992\) | −5.12906 | + | 1.37433i | −0.162848 | + | 0.0436349i | ||||
\(993\) | 6.46609i | 0.205195i | ||||||||
\(994\) | 1.11489 | + | 4.16083i | 0.0353622 | + | 0.131973i | ||||
\(995\) | −1.13962 | + | 60.3910i | −0.0361285 | + | 1.91452i | ||||
\(996\) | −2.94403 | + | 5.09921i | −0.0932852 | + | 0.161575i | ||||
\(997\) | −26.1333 | + | 15.0881i | −0.827651 | + | 0.477845i | −0.853048 | − | 0.521833i | \(-0.825249\pi\) |
0.0253965 | + | 0.999677i | \(0.491915\pi\) | |||||||
\(998\) | 27.2645 | − | 27.2645i | 0.863041 | − | 0.863041i | ||||
\(999\) | −16.2403 | + | 43.3498i | −0.513821 | + | 1.37153i |
(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.q.e.103.1 | yes | 16 | |
5.2 | odd | 4 | 370.2.r.e.177.2 | yes | 16 | ||
37.23 | odd | 12 | 370.2.r.e.23.2 | yes | 16 | ||
185.97 | even | 12 | inner | 370.2.q.e.97.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.e.97.1 | ✓ | 16 | 185.97 | even | 12 | inner | |
370.2.q.e.103.1 | yes | 16 | 1.1 | even | 1 | trivial | |
370.2.r.e.23.2 | yes | 16 | 37.23 | odd | 12 | ||
370.2.r.e.177.2 | yes | 16 | 5.2 | odd | 4 |