Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Character | \(\chi\) | \(=\) | 354.85 |
Dual form | 354.2.e.b.25.1 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{23}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.796093 | + | 0.605174i | −0.562923 | + | 0.427923i | ||||
\(3\) | −0.468408 | + | 0.883512i | −0.270436 | + | 0.510096i | ||||
\(4\) | 0.267528 | − | 0.963550i | 0.133764 | − | 0.481775i | ||||
\(5\) | −1.39125 | + | 1.31786i | −0.622186 | + | 0.589366i | −0.932457 | − | 0.361282i | \(-0.882339\pi\) |
0.310270 | + | 0.950648i | \(0.399581\pi\) | |||||||
\(6\) | −0.161782 | − | 0.986827i | −0.0660472 | − | 0.402870i | ||||
\(7\) | 1.52711 | + | 1.79785i | 0.577194 | + | 0.679525i | 0.970838 | − | 0.239738i | \(-0.0770615\pi\) |
−0.393644 | + | 0.919263i | \(0.628786\pi\) | |||||||
\(8\) | 0.370138 | + | 0.928977i | 0.130864 | + | 0.328443i | ||||
\(9\) | −0.561187 | − | 0.827689i | −0.187062 | − | 0.275896i | ||||
\(10\) | 0.310029 | − | 1.89109i | 0.0980397 | − | 0.598016i | ||||
\(11\) | −2.11501 | + | 1.27256i | −0.637699 | + | 0.383691i | −0.797380 | − | 0.603478i | \(-0.793781\pi\) |
0.159681 | + | 0.987169i | \(0.448954\pi\) | |||||||
\(12\) | 0.725995 | + | 0.687699i | 0.209577 | + | 0.198522i | ||||
\(13\) | 0.133824 | − | 0.197375i | 0.0371161 | − | 0.0547421i | −0.808678 | − | 0.588251i | \(-0.799817\pi\) |
0.845794 | + | 0.533509i | \(0.179127\pi\) | |||||||
\(14\) | −2.30374 | − | 0.507091i | −0.615700 | − | 0.135526i | ||||
\(15\) | −0.512674 | − | 1.84649i | −0.132372 | − | 0.476760i | ||||
\(16\) | −0.856857 | − | 0.515554i | −0.214214 | − | 0.128888i | ||||
\(17\) | −0.891081 | + | 1.04906i | −0.216119 | + | 0.254435i | −0.859529 | − | 0.511087i | \(-0.829243\pi\) |
0.643410 | + | 0.765522i | \(0.277519\pi\) | |||||||
\(18\) | 0.947653 | + | 0.319302i | 0.223364 | + | 0.0752601i | ||||
\(19\) | −3.44304 | − | 1.59292i | −0.789887 | − | 0.365441i | −0.0168959 | − | 0.999857i | \(-0.505378\pi\) |
−0.772991 | + | 0.634416i | \(0.781240\pi\) | |||||||
\(20\) | 0.897628 | + | 1.69311i | 0.200716 | + | 0.378590i | ||||
\(21\) | −2.30374 | + | 0.507091i | −0.502717 | + | 0.110656i | ||||
\(22\) | 0.913624 | − | 2.29302i | 0.194785 | − | 0.488874i | ||||
\(23\) | −5.80152 | + | 1.95476i | −1.20970 | + | 0.407596i | −0.850655 | − | 0.525724i | \(-0.823794\pi\) |
−0.359046 | + | 0.933320i | \(0.616898\pi\) | |||||||
\(24\) | −0.994138 | − | 0.108119i | −0.202928 | − | 0.0220697i | ||||
\(25\) | −0.0718779 | + | 1.32571i | −0.0143756 | + | 0.265142i | ||||
\(26\) | 0.0129103 | + | 0.238116i | 0.00253191 | + | 0.0466984i | ||||
\(27\) | 0.994138 | − | 0.108119i | 0.191322 | − | 0.0208075i | ||||
\(28\) | 2.14087 | − | 0.990471i | 0.404586 | − | 0.187181i | ||||
\(29\) | −3.70371 | − | 2.81549i | −0.687761 | − | 0.522822i | 0.201922 | − | 0.979402i | \(-0.435281\pi\) |
−0.889683 | + | 0.456579i | \(0.849074\pi\) | |||||||
\(30\) | 1.52558 | + | 1.15972i | 0.278532 | + | 0.211734i | ||||
\(31\) | −1.25482 | + | 0.580542i | −0.225373 | + | 0.104268i | −0.529326 | − | 0.848418i | \(-0.677555\pi\) |
0.303954 | + | 0.952687i | \(0.401693\pi\) | |||||||
\(32\) | 0.994138 | − | 0.108119i | 0.175740 | − | 0.0191129i | ||||
\(33\) | −0.133633 | − | 2.46471i | −0.0232625 | − | 0.429051i | ||||
\(34\) | 0.0745183 | − | 1.37441i | 0.0127798 | − | 0.235709i | ||||
\(35\) | −4.49392 | − | 0.488743i | −0.759611 | − | 0.0826127i | ||||
\(36\) | −0.947653 | + | 0.319302i | −0.157942 | + | 0.0532169i | ||||
\(37\) | −0.0444409 | + | 0.111538i | −0.00730604 | + | 0.0183368i | −0.932584 | − | 0.360952i | \(-0.882452\pi\) |
0.925278 | + | 0.379289i | \(0.123831\pi\) | |||||||
\(38\) | 3.70497 | − | 0.815526i | 0.601026 | − | 0.132296i | ||||
\(39\) | 0.111699 | + | 0.210687i | 0.0178862 | + | 0.0337370i | ||||
\(40\) | −1.73922 | − | 0.804649i | −0.274995 | − | 0.127226i | ||||
\(41\) | −0.681705 | − | 0.229693i | −0.106464 | − | 0.0358720i | 0.265565 | − | 0.964093i | \(-0.414441\pi\) |
−0.372030 | + | 0.928221i | \(0.621338\pi\) | |||||||
\(42\) | 1.52711 | − | 1.79785i | 0.235638 | − | 0.277415i | ||||
\(43\) | 0.00778095 | + | 0.00468164i | 0.00118658 | + | 0.000713944i | 0.516147 | − | 0.856500i | \(-0.327366\pi\) |
−0.514960 | + | 0.857214i | \(0.672193\pi\) | |||||||
\(44\) | 0.660349 | + | 2.37836i | 0.0995513 | + | 0.358551i | ||||
\(45\) | 1.87153 | + | 0.411956i | 0.278992 | + | 0.0614107i | ||||
\(46\) | 3.43558 | − | 5.06710i | 0.506549 | − | 0.747104i | ||||
\(47\) | 6.61093 | + | 6.26221i | 0.964303 | + | 0.913437i | 0.996291 | − | 0.0860515i | \(-0.0274250\pi\) |
−0.0319872 | + | 0.999488i | \(0.510184\pi\) | |||||||
\(48\) | 0.856857 | − | 0.515554i | 0.123677 | − | 0.0744138i | ||||
\(49\) | 0.232262 | − | 1.41674i | 0.0331803 | − | 0.202391i | ||||
\(50\) | −0.745064 | − | 1.09889i | −0.105368 | − | 0.155406i | ||||
\(51\) | −0.509469 | − | 1.27867i | −0.0713399 | − | 0.179050i | ||||
\(52\) | −0.154379 | − | 0.181750i | −0.0214086 | − | 0.0252041i | ||||
\(53\) | −0.243356 | − | 1.48441i | −0.0334275 | − | 0.203899i | 0.964832 | − | 0.262866i | \(-0.0846676\pi\) |
−0.998260 | + | 0.0589669i | \(0.981219\pi\) | |||||||
\(54\) | −0.725995 | + | 0.687699i | −0.0987955 | + | 0.0935840i | ||||
\(55\) | 1.26545 | − | 4.55774i | 0.170633 | − | 0.614565i | ||||
\(56\) | −1.10492 | + | 2.08411i | −0.147652 | + | 0.278500i | ||||
\(57\) | 3.02011 | − | 2.29583i | 0.400024 | − | 0.304090i | ||||
\(58\) | 4.65235 | 0.610884 | ||||||||
\(59\) | −1.40286 | + | 7.55195i | −0.182637 | + | 0.983180i | ||||
\(60\) | −1.91634 | −0.247398 | ||||||||
\(61\) | −3.50593 | + | 2.66514i | −0.448889 | + | 0.341236i | −0.805069 | − | 0.593181i | \(-0.797872\pi\) |
0.356181 | + | 0.934417i | \(0.384079\pi\) | |||||||
\(62\) | 0.647625 | − | 1.22155i | 0.0822485 | − | 0.155137i | ||||
\(63\) | 0.631069 | − | 2.27291i | 0.0795072 | − | 0.286359i | ||||
\(64\) | −0.725995 | + | 0.687699i | −0.0907494 | + | 0.0859624i | ||||
\(65\) | 0.0739312 | + | 0.450960i | 0.00917004 | + | 0.0559347i | ||||
\(66\) | 1.59796 | + | 1.88127i | 0.196696 | + | 0.231568i | ||||
\(67\) | 0.720240 | + | 1.80767i | 0.0879913 | + | 0.220842i | 0.966387 | − | 0.257093i | \(-0.0827648\pi\) |
−0.878395 | + | 0.477935i | \(0.841385\pi\) | |||||||
\(68\) | 0.772434 | + | 1.13925i | 0.0936713 | + | 0.138155i | ||||
\(69\) | 0.990428 | − | 6.04134i | 0.119233 | − | 0.727292i | ||||
\(70\) | 3.87335 | − | 2.33052i | 0.462954 | − | 0.278550i | ||||
\(71\) | 7.79009 | + | 7.37916i | 0.924513 | + | 0.875746i | 0.992538 | − | 0.121938i | \(-0.0389109\pi\) |
−0.0680243 | + | 0.997684i | \(0.521670\pi\) | |||||||
\(72\) | 0.561187 | − | 0.827689i | 0.0661365 | − | 0.0975441i | ||||
\(73\) | 2.51388 | + | 0.553346i | 0.294227 | + | 0.0647642i | 0.359631 | − | 0.933095i | \(-0.382903\pi\) |
−0.0654040 | + | 0.997859i | \(0.520834\pi\) | |||||||
\(74\) | −0.0321210 | − | 0.115689i | −0.00373399 | − | 0.0134486i | ||||
\(75\) | −1.13761 | − | 0.684479i | −0.131360 | − | 0.0790368i | ||||
\(76\) | −2.45597 | + | 2.89139i | −0.281719 | + | 0.331665i | ||||
\(77\) | −5.51773 | − | 1.85914i | −0.628803 | − | 0.211868i | ||||
\(78\) | −0.216426 | − | 0.100129i | −0.0245054 | − | 0.0113374i | ||||
\(79\) | 7.51128 | + | 14.1678i | 0.845085 | + | 1.59400i | 0.803836 | + | 0.594851i | \(0.202789\pi\) |
0.0412497 | + | 0.999149i | \(0.486866\pi\) | |||||||
\(80\) | 1.87153 | − | 0.411956i | 0.209244 | − | 0.0460580i | ||||
\(81\) | −0.370138 | + | 0.928977i | −0.0411265 | + | 0.103220i | ||||
\(82\) | 0.681705 | − | 0.229693i | 0.0752817 | − | 0.0253653i | ||||
\(83\) | 13.4976 | + | 1.46796i | 1.48156 | + | 0.161129i | 0.812883 | − | 0.582426i | \(-0.197897\pi\) |
0.668674 | + | 0.743556i | \(0.266862\pi\) | |||||||
\(84\) | −0.127708 | + | 2.35543i | −0.0139340 | + | 0.256998i | ||||
\(85\) | −0.142802 | − | 2.63383i | −0.0154891 | − | 0.285679i | ||||
\(86\) | −0.00902757 | 0.000981808i | −0.000973468 | 0.000105871i | ||||||
\(87\) | 4.22236 | − | 1.95347i | 0.452685 | − | 0.209434i | ||||
\(88\) | −1.96502 | − | 1.49377i | −0.209472 | − | 0.159236i | ||||
\(89\) | 0.118176 | + | 0.0898349i | 0.0125266 | + | 0.00952248i | 0.611419 | − | 0.791307i | \(-0.290599\pi\) |
−0.598892 | + | 0.800830i | \(0.704392\pi\) | |||||||
\(90\) | −1.73922 | + | 0.804649i | −0.183330 | + | 0.0848174i | ||||
\(91\) | 0.559216 | − | 0.0608184i | 0.0586218 | − | 0.00637550i | ||||
\(92\) | 0.331438 | + | 6.11301i | 0.0345548 | + | 0.637325i | ||||
\(93\) | 0.0748529 | − | 1.38058i | 0.00776188 | − | 0.143160i | ||||
\(94\) | −9.05264 | − | 0.984534i | −0.933709 | − | 0.101547i | ||||
\(95\) | 6.88938 | − | 2.32130i | 0.706836 | − | 0.238161i | ||||
\(96\) | −0.370138 | + | 0.928977i | −0.0377771 | + | 0.0948133i | ||||
\(97\) | 10.8674 | − | 2.39211i | 1.10342 | − | 0.242882i | 0.374329 | − | 0.927296i | \(-0.377873\pi\) |
0.729093 | + | 0.684414i | \(0.239942\pi\) | |||||||
\(98\) | 0.672471 | + | 1.26841i | 0.0679298 | + | 0.128129i | ||||
\(99\) | 2.24020 | + | 1.03643i | 0.225148 | + | 0.104165i | ||||
\(100\) | 1.25816 | + | 0.423923i | 0.125816 | + | 0.0423923i | ||||
\(101\) | 3.11235 | − | 3.66415i | 0.309691 | − | 0.364596i | −0.585194 | − | 0.810893i | \(-0.698982\pi\) |
0.894885 | + | 0.446297i | \(0.147258\pi\) | |||||||
\(102\) | 1.17940 | + | 0.709623i | 0.116778 | + | 0.0702631i | ||||
\(103\) | 0.759082 | + | 2.73396i | 0.0747945 | + | 0.269386i | 0.991487 | − | 0.130209i | \(-0.0415648\pi\) |
−0.916692 | + | 0.399594i | \(0.869151\pi\) | |||||||
\(104\) | 0.232890 | + | 0.0512631i | 0.0228368 | + | 0.00502676i | ||||
\(105\) | 2.53680 | − | 3.74150i | 0.247566 | − | 0.365133i | ||||
\(106\) | 1.09206 | + | 1.03445i | 0.106070 | + | 0.100475i | ||||
\(107\) | −3.31086 | + | 1.99208i | −0.320072 | + | 0.192581i | −0.666518 | − | 0.745489i | \(-0.732216\pi\) |
0.346446 | + | 0.938070i | \(0.387389\pi\) | |||||||
\(108\) | 0.161782 | − | 0.986827i | 0.0155675 | − | 0.0949574i | ||||
\(109\) | −1.78744 | − | 2.63628i | −0.171206 | − | 0.252510i | 0.732400 | − | 0.680875i | \(-0.238400\pi\) |
−0.903606 | + | 0.428365i | \(0.859090\pi\) | |||||||
\(110\) | 1.75081 | + | 4.39420i | 0.166933 | + | 0.418971i | ||||
\(111\) | −0.0777289 | − | 0.0915095i | −0.00737770 | − | 0.00868570i | ||||
\(112\) | −0.381626 | − | 2.32781i | −0.0360602 | − | 0.219958i | ||||
\(113\) | 10.4120 | − | 9.86272i | 0.979474 | − | 0.927807i | −0.0179284 | − | 0.999839i | \(-0.505707\pi\) |
0.997402 | + | 0.0720323i | \(0.0229485\pi\) | |||||||
\(114\) | −1.01491 | + | 3.65539i | −0.0950554 | + | 0.342358i | ||||
\(115\) | 5.49527 | − | 10.3652i | 0.512436 | − | 0.966558i | ||||
\(116\) | −3.70371 | + | 2.81549i | −0.343881 | + | 0.261411i | ||||
\(117\) | −0.238466 | −0.0220462 | ||||||||
\(118\) | −3.45344 | − | 6.86103i | −0.317915 | − | 0.631609i | ||||
\(119\) | −3.24684 | −0.297637 | ||||||||
\(120\) | 1.52558 | − | 1.15972i | 0.139266 | − | 0.105867i | ||||
\(121\) | −2.29864 | + | 4.33569i | −0.208967 | + | 0.394154i | ||||
\(122\) | 1.17817 | − | 4.24340i | 0.106667 | − | 0.384179i | ||||
\(123\) | 0.522253 | − | 0.494704i | 0.0470899 | − | 0.0446060i | ||||
\(124\) | 0.223681 | + | 1.36439i | 0.0200872 | + | 0.122526i | ||||
\(125\) | −7.85015 | − | 9.24191i | −0.702139 | − | 0.826622i | ||||
\(126\) | 0.873114 | + | 2.19135i | 0.0777832 | + | 0.195221i | ||||
\(127\) | 7.29223 | + | 10.7552i | 0.647081 | + | 0.954373i | 0.999826 | + | 0.0186534i | \(0.00593791\pi\) |
−0.352745 | + | 0.935719i | \(0.614752\pi\) | |||||||
\(128\) | 0.161782 | − | 0.986827i | 0.0142996 | − | 0.0872240i | ||||
\(129\) | −0.00778095 | + | 0.00468164i | −0.000685075 | + | 0.000412196i | ||||
\(130\) | −0.331766 | − | 0.314265i | −0.0290978 | − | 0.0275629i | ||||
\(131\) | −4.17888 | + | 6.16339i | −0.365111 | + | 0.538498i | −0.965226 | − | 0.261415i | \(-0.915811\pi\) |
0.600116 | + | 0.799913i | \(0.295121\pi\) | |||||||
\(132\) | −2.41062 | − | 0.530618i | −0.209818 | − | 0.0461844i | ||||
\(133\) | −2.39407 | − | 8.62265i | −0.207592 | − | 0.747679i | ||||
\(134\) | −1.66733 | − | 1.00320i | −0.144035 | − | 0.0866633i | ||||
\(135\) | −1.24061 | + | 1.46056i | −0.106775 | + | 0.125705i | ||||
\(136\) | −1.30438 | − | 0.439496i | −0.111849 | − | 0.0376864i | ||||
\(137\) | −15.4114 | − | 7.13008i | −1.31669 | − | 0.609164i | −0.369316 | − | 0.929304i | \(-0.620408\pi\) |
−0.947370 | + | 0.320140i | \(0.896270\pi\) | |||||||
\(138\) | 2.86759 | + | 5.40885i | 0.244106 | + | 0.460432i | ||||
\(139\) | −21.7598 | + | 4.78969i | −1.84564 | + | 0.406256i | −0.993185 | − | 0.116547i | \(-0.962817\pi\) |
−0.852454 | + | 0.522803i | \(0.824886\pi\) | |||||||
\(140\) | −1.67318 | + | 4.19937i | −0.141410 | + | 0.354911i | ||||
\(141\) | −8.62935 | + | 2.90757i | −0.726722 | + | 0.244861i | ||||
\(142\) | −10.6673 | − | 1.16014i | −0.895181 | − | 0.0973568i | ||||
\(143\) | −0.0318668 | + | 0.587749i | −0.00266484 | + | 0.0491501i | ||||
\(144\) | 0.0541389 | + | 0.998533i | 0.00451158 | + | 0.0832111i | ||||
\(145\) | 8.86321 | − | 0.963932i | 0.736050 | − | 0.0800502i | ||||
\(146\) | −2.33615 | + | 1.08082i | −0.193341 | + | 0.0894491i | ||||
\(147\) | 1.14291 | + | 0.868819i | 0.0942657 | + | 0.0716589i | ||||
\(148\) | 0.0955834 | + | 0.0726606i | 0.00785691 | + | 0.00597267i | ||||
\(149\) | 0.634129 | − | 0.293379i | 0.0519499 | − | 0.0240346i | −0.393742 | − | 0.919221i | \(-0.628820\pi\) |
0.445692 | + | 0.895186i | \(0.352958\pi\) | |||||||
\(150\) | 1.31987 | − | 0.143545i | 0.107767 | − | 0.0117204i | ||||
\(151\) | 0.398300 | + | 7.34620i | 0.0324132 | + | 0.597825i | 0.968950 | + | 0.247256i | \(0.0795290\pi\) |
−0.936537 | + | 0.350569i | \(0.885988\pi\) | |||||||
\(152\) | 0.205385 | − | 3.78810i | 0.0166589 | − | 0.307256i | ||||
\(153\) | 1.36836 | + | 0.148818i | 0.110625 | + | 0.0120312i | ||||
\(154\) | 5.51773 | − | 1.85914i | 0.444631 | − | 0.149814i | ||||
\(155\) | 0.980696 | − | 2.46136i | 0.0787714 | − | 0.197701i | ||||
\(156\) | 0.232890 | − | 0.0512631i | 0.0186462 | − | 0.00410433i | ||||
\(157\) | 5.87814 | + | 11.0874i | 0.469127 | + | 0.884867i | 0.999316 | + | 0.0369875i | \(0.0117762\pi\) |
−0.530189 | + | 0.847880i | \(0.677879\pi\) | |||||||
\(158\) | −14.5537 | − | 6.73324i | −1.15783 | − | 0.535668i | ||||
\(159\) | 1.42548 | + | 0.480300i | 0.113048 | + | 0.0380903i | ||||
\(160\) | −1.24061 | + | 1.46056i | −0.0980788 | + | 0.115467i | ||||
\(161\) | −12.3739 | − | 7.44516i | −0.975203 | − | 0.586760i | ||||
\(162\) | −0.267528 | − | 0.963550i | −0.0210190 | − | 0.0757036i | ||||
\(163\) | −21.8658 | − | 4.81302i | −1.71266 | − | 0.376985i | −0.752971 | − | 0.658054i | \(-0.771380\pi\) |
−0.959687 | + | 0.281070i | \(0.909311\pi\) | |||||||
\(164\) | −0.403696 | + | 0.595407i | −0.0315234 | + | 0.0464935i | ||||
\(165\) | 3.43407 | + | 3.25292i | 0.267342 | + | 0.253240i | ||||
\(166\) | −11.6337 | + | 6.99979i | −0.902953 | + | 0.543289i | ||||
\(167\) | 2.57669 | − | 15.7171i | 0.199391 | − | 1.21623i | −0.677494 | − | 0.735528i | \(-0.736934\pi\) |
0.876885 | − | 0.480701i | \(-0.159618\pi\) | |||||||
\(168\) | −1.32378 | − | 1.95243i | −0.102132 | − | 0.150633i | ||||
\(169\) | 4.79075 | + | 12.0239i | 0.368519 | + | 0.924913i | ||||
\(170\) | 1.70761 | + | 2.01035i | 0.130968 | + | 0.154187i | ||||
\(171\) | 0.613747 | + | 3.74369i | 0.0469344 | + | 0.286287i | ||||
\(172\) | 0.00659262 | − | 0.00624486i | 0.000502683 | − | 0.000476166i | ||||
\(173\) | 4.69162 | − | 16.8977i | 0.356697 | − | 1.28471i | −0.539851 | − | 0.841760i | \(-0.681520\pi\) |
0.896548 | − | 0.442946i | \(-0.146067\pi\) | |||||||
\(174\) | −2.17920 | + | 4.11041i | −0.165205 | + | 0.311609i | ||||
\(175\) | −2.49320 | + | 1.89528i | −0.188468 | + | 0.143270i | ||||
\(176\) | 2.46833 | 0.186057 | ||||||||
\(177\) | −6.01513 | − | 4.77684i | −0.452125 | − | 0.359049i | ||||
\(178\) | −0.148445 | −0.0111264 | ||||||||
\(179\) | 2.22598 | − | 1.69215i | 0.166378 | − | 0.126477i | −0.518672 | − | 0.854973i | \(-0.673574\pi\) |
0.685050 | + | 0.728496i | \(0.259780\pi\) | |||||||
\(180\) | 0.897628 | − | 1.69311i | 0.0669052 | − | 0.126197i | ||||
\(181\) | 2.22813 | − | 8.02499i | 0.165616 | − | 0.596493i | −0.833422 | − | 0.552637i | \(-0.813622\pi\) |
0.999038 | − | 0.0438566i | \(-0.0139645\pi\) | |||||||
\(182\) | −0.408382 | + | 0.386840i | −0.0302713 | + | 0.0286745i | ||||
\(183\) | −0.712475 | − | 4.34591i | −0.0526677 | − | 0.321259i | ||||
\(184\) | −3.96329 | − | 4.66595i | −0.292178 | − | 0.343978i | ||||
\(185\) | −0.0851637 | − | 0.213745i | −0.00626136 | − | 0.0157148i | ||||
\(186\) | 0.775902 | + | 1.14437i | 0.0568919 | + | 0.0839092i | ||||
\(187\) | 0.549651 | − | 3.35272i | 0.0401945 | − | 0.245175i | ||||
\(188\) | 7.80256 | − | 4.69465i | 0.569060 | − | 0.342392i | ||||
\(189\) | 1.71254 | + | 1.62221i | 0.124569 | + | 0.117998i | ||||
\(190\) | −4.07980 | + | 6.01725i | −0.295980 | + | 0.436537i | ||||
\(191\) | 7.67596 | + | 1.68961i | 0.555413 | + | 0.122256i | 0.483803 | − | 0.875177i | \(-0.339255\pi\) |
0.0716102 | + | 0.997433i | \(0.477186\pi\) | |||||||
\(192\) | −0.267528 | − | 0.963550i | −0.0193072 | − | 0.0695382i | ||||
\(193\) | −12.9767 | − | 7.80781i | −0.934082 | − | 0.562018i | −0.0348029 | − | 0.999394i | \(-0.511080\pi\) |
−0.899279 | + | 0.437376i | \(0.855908\pi\) | |||||||
\(194\) | −7.20386 | + | 8.48104i | −0.517207 | + | 0.608903i | ||||
\(195\) | −0.433059 | − | 0.145915i | −0.0310120 | − | 0.0104492i | ||||
\(196\) | −1.30296 | − | 0.602814i | −0.0930686 | − | 0.0430581i | ||||
\(197\) | 8.16780 | + | 15.4061i | 0.581931 | + | 1.09764i | 0.983346 | + | 0.181743i | \(0.0581738\pi\) |
−0.401415 | + | 0.915896i | \(0.631481\pi\) | |||||||
\(198\) | −2.41062 | + | 0.530618i | −0.171316 | + | 0.0377094i | ||||
\(199\) | −3.35937 | + | 8.43138i | −0.238139 | + | 0.597685i | −0.998667 | − | 0.0516212i | \(-0.983561\pi\) |
0.760527 | + | 0.649306i | \(0.224940\pi\) | |||||||
\(200\) | −1.25816 | + | 0.423923i | −0.0889652 | + | 0.0299759i | ||||
\(201\) | −1.93446 | − | 0.210385i | −0.136446 | − | 0.0148394i | ||||
\(202\) | −0.260276 | + | 4.80052i | −0.0183130 | + | 0.337763i | ||||
\(203\) | −0.594141 | − | 10.9583i | −0.0417005 | − | 0.769121i | ||||
\(204\) | −1.36836 | + | 0.148818i | −0.0958043 | + | 0.0104193i | ||||
\(205\) | 1.25113 | − | 0.578833i | 0.0873824 | − | 0.0404274i | ||||
\(206\) | −2.25882 | − | 1.71711i | −0.157380 | − | 0.119637i | ||||
\(207\) | 4.87367 | + | 3.70487i | 0.338744 | + | 0.257506i | ||||
\(208\) | −0.216426 | + | 0.100129i | −0.0150064 | + | 0.00694271i | ||||
\(209\) | 9.30914 | − | 1.01243i | 0.643926 | − | 0.0700312i | ||||
\(210\) | 0.244731 | + | 4.51379i | 0.0168880 | + | 0.311481i | ||||
\(211\) | −1.17135 | + | 21.6043i | −0.0806390 | + | 1.48730i | 0.626055 | + | 0.779779i | \(0.284669\pi\) |
−0.706694 | + | 0.707519i | \(0.749814\pi\) | |||||||
\(212\) | −1.49540 | − | 0.162635i | −0.102705 | − | 0.0111698i | ||||
\(213\) | −10.1685 | + | 3.42617i | −0.696736 | + | 0.234758i | ||||
\(214\) | 1.43020 | − | 3.58952i | 0.0977662 | − | 0.245375i | ||||
\(215\) | −0.0169950 | + | 0.00374089i | −0.00115905 | + | 0.000255126i | ||||
\(216\) | 0.468408 | + | 0.883512i | 0.0318712 | + | 0.0601154i | ||||
\(217\) | −2.95998 | − | 1.36943i | −0.200937 | − | 0.0929632i | ||||
\(218\) | 3.01838 | + | 1.01701i | 0.204430 | + | 0.0688806i | ||||
\(219\) | −1.66641 | + | 1.96185i | −0.112605 | + | 0.132569i | ||||
\(220\) | −4.05307 | − | 2.43865i | −0.273258 | − | 0.164414i | ||||
\(221\) | 0.0878111 | + | 0.316267i | 0.00590681 | + | 0.0212744i | ||||
\(222\) | 0.117259 | + | 0.0258106i | 0.00786988 | + | 0.00173229i | ||||
\(223\) | 10.6985 | − | 15.7791i | 0.716422 | − | 1.05664i | −0.278927 | − | 0.960312i | \(-0.589979\pi\) |
0.995349 | − | 0.0963315i | \(-0.0307109\pi\) | |||||||
\(224\) | 1.71254 | + | 1.62221i | 0.114424 | + | 0.108388i | ||||
\(225\) | 1.13761 | − | 0.684479i | 0.0758408 | − | 0.0456319i | ||||
\(226\) | −2.32022 | + | 14.1527i | −0.154338 | + | 0.941423i | ||||
\(227\) | 7.66080 | + | 11.2988i | 0.508465 | + | 0.749930i | 0.992115 | − | 0.125332i | \(-0.0399996\pi\) |
−0.483650 | + | 0.875261i | \(0.660689\pi\) | |||||||
\(228\) | −1.40418 | − | 3.52423i | −0.0929942 | − | 0.233398i | ||||
\(229\) | 0.172804 | + | 0.203441i | 0.0114192 | + | 0.0134438i | 0.767842 | − | 0.640639i | \(-0.221331\pi\) |
−0.756423 | + | 0.654083i | \(0.773055\pi\) | |||||||
\(230\) | 1.89799 | + | 11.5772i | 0.125150 | + | 0.763380i | ||||
\(231\) | 4.22712 | − | 4.00414i | 0.278124 | − | 0.263453i | ||||
\(232\) | 1.24464 | − | 4.48278i | 0.0817144 | − | 0.294309i | ||||
\(233\) | −5.96045 | + | 11.2426i | −0.390482 | + | 0.736528i | −0.998345 | − | 0.0575146i | \(-0.981682\pi\) |
0.607862 | + | 0.794042i | \(0.292027\pi\) | |||||||
\(234\) | 0.189841 | − | 0.144313i | 0.0124103 | − | 0.00943405i | ||||
\(235\) | −17.4502 | −1.13833 | ||||||||
\(236\) | 6.90138 | + | 3.37209i | 0.449241 | + | 0.219504i | ||||
\(237\) | −16.0358 | −1.04163 | ||||||||
\(238\) | 2.58479 | − | 1.96490i | 0.167547 | − | 0.127366i | ||||
\(239\) | 9.01682 | − | 17.0075i | 0.583250 | − | 1.10013i | −0.399768 | − | 0.916616i | \(-0.630909\pi\) |
0.983018 | − | 0.183509i | \(-0.0587457\pi\) | |||||||
\(240\) | −0.512674 | + | 1.84649i | −0.0330930 | + | 0.119190i | ||||
\(241\) | −0.755199 | + | 0.715362i | −0.0486466 | + | 0.0460805i | −0.711637 | − | 0.702548i | \(-0.752046\pi\) |
0.662990 | + | 0.748628i | \(0.269287\pi\) | |||||||
\(242\) | −0.793919 | − | 4.84269i | −0.0510351 | − | 0.311300i | ||||
\(243\) | −0.647386 | − | 0.762162i | −0.0415298 | − | 0.0488927i | ||||
\(244\) | 1.63006 | + | 4.09114i | 0.104354 | + | 0.261908i | ||||
\(245\) | 1.54393 | + | 2.27713i | 0.0986382 | + | 0.145480i | ||||
\(246\) | −0.116380 | + | 0.709884i | −0.00742009 | + | 0.0452606i | ||||
\(247\) | −0.775164 | + | 0.466401i | −0.0493225 | + | 0.0296764i | ||||
\(248\) | −1.00377 | − | 0.950819i | −0.0637393 | − | 0.0603771i | ||||
\(249\) | −7.61936 | + | 11.2377i | −0.482857 | + | 0.712161i | ||||
\(250\) | 11.8424 | + | 2.60671i | 0.748980 | + | 0.164863i | ||||
\(251\) | −4.17280 | − | 15.0291i | −0.263385 | − | 0.948625i | −0.970415 | − | 0.241442i | \(-0.922379\pi\) |
0.707031 | − | 0.707183i | \(-0.250034\pi\) | |||||||
\(252\) | −2.02123 | − | 1.21613i | −0.127325 | − | 0.0766092i | ||||
\(253\) | 9.78272 | − | 11.5171i | 0.615034 | − | 0.724074i | ||||
\(254\) | −12.3141 | − | 4.14910i | −0.772654 | − | 0.260338i | ||||
\(255\) | 2.39391 | + | 1.10754i | 0.149912 | + | 0.0693569i | ||||
\(256\) | 0.468408 | + | 0.883512i | 0.0292755 | + | 0.0552195i | ||||
\(257\) | −8.98754 | + | 1.97831i | −0.560627 | + | 0.123403i | −0.486239 | − | 0.873826i | \(-0.661632\pi\) |
−0.0743884 | + | 0.997229i | \(0.523700\pi\) | |||||||
\(258\) | 0.00336115 | − | 0.00843586i | 0.000209256 | − | 0.000525193i | ||||
\(259\) | −0.268396 | + | 0.0904330i | −0.0166773 | + | 0.00561923i | ||||
\(260\) | 0.454302 | + | 0.0494083i | 0.0281746 | + | 0.00306417i | ||||
\(261\) | −0.251873 | + | 4.64553i | −0.0155906 | + | 0.287551i | ||||
\(262\) | −0.403146 | − | 7.43558i | −0.0249064 | − | 0.459372i | ||||
\(263\) | 19.0386 | − | 2.07057i | 1.17397 | − | 0.127677i | 0.499725 | − | 0.866184i | \(-0.333434\pi\) |
0.674246 | + | 0.738507i | \(0.264469\pi\) | |||||||
\(264\) | 2.24020 | − | 1.03643i | 0.137875 | − | 0.0637876i | ||||
\(265\) | 2.29481 | + | 1.74447i | 0.140969 | + | 0.107162i | ||||
\(266\) | 7.12410 | + | 5.41560i | 0.436807 | + | 0.332052i | ||||
\(267\) | −0.134725 | + | 0.0623303i | −0.00824502 | + | 0.00381455i | ||||
\(268\) | 1.93446 | − | 0.210385i | 0.118166 | − | 0.0128513i | ||||
\(269\) | −0.576576 | − | 10.6343i | −0.0351545 | − | 0.648386i | −0.962018 | − | 0.272987i | \(-0.911988\pi\) |
0.926863 | − | 0.375399i | \(-0.122494\pi\) | |||||||
\(270\) | 0.103748 | − | 1.91353i | 0.00631392 | − | 0.116453i | ||||
\(271\) | −2.92975 | − | 0.318630i | −0.177970 | − | 0.0193554i | 0.0187002 | − | 0.999825i | \(-0.494047\pi\) |
−0.196670 | + | 0.980470i | \(0.563013\pi\) | |||||||
\(272\) | 1.30438 | − | 0.439496i | 0.0790894 | − | 0.0266483i | ||||
\(273\) | −0.208208 | + | 0.522562i | −0.0126013 | + | 0.0316269i | ||||
\(274\) | 16.5839 | − | 3.65038i | 1.00187 | − | 0.220528i | ||||
\(275\) | −1.53502 | − | 2.89535i | −0.0925652 | − | 0.174596i | ||||
\(276\) | −5.55617 | − | 2.57056i | −0.334442 | − | 0.154729i | ||||
\(277\) | 16.4637 | + | 5.54727i | 0.989209 | + | 0.333303i | 0.766966 | − | 0.641688i | \(-0.221766\pi\) |
0.222243 | + | 0.974991i | \(0.428662\pi\) | |||||||
\(278\) | 14.4242 | − | 16.9815i | 0.865106 | − | 1.01848i | ||||
\(279\) | 1.18470 | + | 0.712809i | 0.0709260 | + | 0.0426748i | ||||
\(280\) | −1.20934 | − | 4.35565i | −0.0722719 | − | 0.260300i | ||||
\(281\) | −10.8244 | − | 2.38263i | −0.645730 | − | 0.142136i | −0.119982 | − | 0.992776i | \(-0.538284\pi\) |
−0.525748 | + | 0.850640i | \(0.676215\pi\) | |||||||
\(282\) | 5.11018 | − | 7.53695i | 0.304307 | − | 0.448819i | ||||
\(283\) | −18.6580 | − | 17.6738i | −1.10910 | − | 1.05060i | −0.998389 | − | 0.0567453i | \(-0.981928\pi\) |
−0.110714 | − | 0.993852i | \(-0.535314\pi\) | |||||||
\(284\) | 9.19426 | − | 5.53200i | 0.545579 | − | 0.328264i | ||||
\(285\) | −1.17615 | + | 7.17417i | −0.0696689 | + | 0.424961i | ||||
\(286\) | −0.330322 | − | 0.487188i | −0.0195323 | − | 0.0288080i | ||||
\(287\) | −0.628084 | − | 1.57637i | −0.0370746 | − | 0.0930503i | ||||
\(288\) | −0.647386 | − | 0.762162i | −0.0381476 | − | 0.0449108i | ||||
\(289\) | 2.44379 | + | 14.9065i | 0.143752 | + | 0.876850i | ||||
\(290\) | −6.47259 | + | 6.13117i | −0.380084 | + | 0.360035i | ||||
\(291\) | −2.97695 | + | 10.7220i | −0.174512 | + | 0.628535i | ||||
\(292\) | 1.20571 | − | 2.27421i | 0.0705588 | − | 0.133088i | ||||
\(293\) | 11.6473 | − | 8.85402i | 0.680440 | − | 0.517257i | −0.206906 | − | 0.978361i | \(-0.566339\pi\) |
0.887346 | + | 0.461103i | \(0.152546\pi\) | |||||||
\(294\) | −1.43565 | −0.0837288 | ||||||||
\(295\) | −8.00071 | − | 12.3554i | −0.465819 | − | 0.719362i | ||||
\(296\) | −0.120066 | −0.00697868 | ||||||||
\(297\) | −1.96502 | + | 1.49377i | −0.114022 | + | 0.0866774i | ||||
\(298\) | −0.327280 | + | 0.617316i | −0.0189588 | + | 0.0357601i | ||||
\(299\) | −0.390560 | + | 1.40667i | −0.0225867 | + | 0.0813499i | ||||
\(300\) | −0.963873 | + | 0.913029i | −0.0556492 | + | 0.0527137i | ||||
\(301\) | 0.00346547 | + | 0.0211384i | 0.000199746 | + | 0.00121840i | ||||
\(302\) | −4.76282 | − | 5.60722i | −0.274069 | − | 0.322659i | ||||
\(303\) | 1.77946 | + | 4.46612i | 0.102228 | + | 0.256572i | ||||
\(304\) | 2.12896 | + | 3.13998i | 0.122104 | + | 0.180090i | ||||
\(305\) | 1.36534 | − | 8.32822i | 0.0781792 | − | 0.476872i | ||||
\(306\) | −1.17940 | + | 0.709623i | −0.0674219 | + | 0.0405664i | ||||
\(307\) | 12.2767 | + | 11.6292i | 0.700671 | + | 0.663711i | 0.952666 | − | 0.304018i | \(-0.0983281\pi\) |
−0.251995 | + | 0.967728i | \(0.581087\pi\) | |||||||
\(308\) | −3.26752 | + | 4.81923i | −0.186184 | + | 0.274601i | ||||
\(309\) | −2.77105 | − | 0.609954i | −0.157640 | − | 0.0346991i | ||||
\(310\) | 0.708827 | + | 2.55297i | 0.0402587 | + | 0.144999i | ||||
\(311\) | 11.7752 | + | 7.08488i | 0.667709 | + | 0.401747i | 0.808665 | − | 0.588269i | \(-0.200190\pi\) |
−0.140957 | + | 0.990016i | \(0.545018\pi\) | |||||||
\(312\) | −0.154379 | + | 0.181750i | −0.00874001 | + | 0.0102895i | ||||
\(313\) | 23.0237 | + | 7.75758i | 1.30138 | + | 0.438484i | 0.882822 | − | 0.469708i | \(-0.155641\pi\) |
0.418553 | + | 0.908192i | \(0.362537\pi\) | |||||||
\(314\) | −11.3893 | − | 5.26926i | −0.642737 | − | 0.297362i | ||||
\(315\) | 2.11740 | + | 3.99385i | 0.119302 | + | 0.225028i | ||||
\(316\) | 15.6608 | − | 3.44721i | 0.880992 | − | 0.193921i | ||||
\(317\) | −10.7267 | + | 26.9220i | −0.602473 | + | 1.51209i | 0.238571 | + | 0.971125i | \(0.423321\pi\) |
−0.841043 | + | 0.540968i | \(0.818058\pi\) | |||||||
\(318\) | −1.42548 | + | 0.480300i | −0.0799370 | + | 0.0269339i | ||||
\(319\) | 11.4162 | + | 1.24159i | 0.639187 | + | 0.0695157i | ||||
\(320\) | 0.103748 | − | 1.91353i | 0.00579971 | − | 0.106969i | ||||
\(321\) | −0.209190 | − | 3.85829i | −0.0116759 | − | 0.215349i | ||||
\(322\) | 14.3564 | − | 1.56136i | 0.800052 | − | 0.0870109i | ||||
\(323\) | 4.73910 | − | 2.19254i | 0.263690 | − | 0.121996i | ||||
\(324\) | 0.796093 | + | 0.605174i | 0.0442274 | + | 0.0336208i | ||||
\(325\) | 0.252044 | + | 0.191599i | 0.0139809 | + | 0.0106280i | ||||
\(326\) | 20.3199 | − | 9.40098i | 1.12541 | − | 0.520672i | ||||
\(327\) | 3.16644 | − | 0.344371i | 0.175104 | − | 0.0190437i | ||||
\(328\) | −0.0389454 | − | 0.718306i | −0.00215040 | − | 0.0396618i | ||||
\(329\) | −1.16291 | + | 21.4486i | −0.0641132 | + | 1.18250i | ||||
\(330\) | −4.70242 | − | 0.511419i | −0.258860 | − | 0.0281527i | ||||
\(331\) | 18.7085 | − | 6.30363i | 1.02831 | − | 0.346479i | 0.245937 | − | 0.969286i | \(-0.420904\pi\) |
0.782376 | + | 0.622807i | \(0.214008\pi\) | |||||||
\(332\) | 5.02545 | − | 12.6129i | 0.275807 | − | 0.692224i | ||||
\(333\) | 0.117259 | − | 0.0258106i | 0.00642573 | − | 0.00141441i | ||||
\(334\) | 7.46032 | + | 14.0717i | 0.408211 | + | 0.769967i | ||||
\(335\) | −3.38429 | − | 1.56574i | −0.184904 | − | 0.0855455i | ||||
\(336\) | 2.23541 | + | 0.753196i | 0.121951 | + | 0.0410902i | ||||
\(337\) | −12.5341 | + | 14.7562i | −0.682773 | + | 0.803823i | −0.988965 | − | 0.148147i | \(-0.952669\pi\) |
0.306192 | + | 0.951970i | \(0.400945\pi\) | |||||||
\(338\) | −11.0904 | − | 6.67288i | −0.603239 | − | 0.362957i | ||||
\(339\) | 3.83679 | + | 13.8189i | 0.208386 | + | 0.750538i | ||||
\(340\) | −2.57603 | − | 0.567027i | −0.139705 | − | 0.0307514i | ||||
\(341\) | 1.91518 | − | 2.82468i | 0.103713 | − | 0.152965i | ||||
\(342\) | −2.75419 | − | 2.60890i | −0.148929 | − | 0.141073i | ||||
\(343\) | 17.0504 | − | 10.2589i | 0.920634 | − | 0.553927i | ||||
\(344\) | −0.00146911 | + | 0.00896118i | −7.92091e−5 | + | 0.000483154i | ||||
\(345\) | 6.58373 | + | 9.71027i | 0.354456 | + | 0.522783i | ||||
\(346\) | 6.49107 | + | 16.2914i | 0.348962 | + | 0.875829i | ||||
\(347\) | 7.59549 | + | 8.94210i | 0.407747 | + | 0.480037i | 0.927256 | − | 0.374428i | \(-0.122161\pi\) |
−0.519509 | + | 0.854465i | \(0.673885\pi\) | |||||||
\(348\) | −0.752667 | − | 4.59107i | −0.0403472 | − | 0.246107i | ||||
\(349\) | 23.2559 | − | 22.0291i | 1.24486 | − | 1.17919i | 0.268441 | − | 0.963296i | \(-0.413492\pi\) |
0.976417 | − | 0.215895i | \(-0.0692669\pi\) | |||||||
\(350\) | 0.837843 | − | 3.01764i | 0.0447846 | − | 0.161300i | ||||
\(351\) | 0.111699 | − | 0.210687i | 0.00596207 | − | 0.0112457i | ||||
\(352\) | −1.96502 | + | 1.49377i | −0.104736 | + | 0.0796182i | ||||
\(353\) | 3.43673 | 0.182919 | 0.0914594 | − | 0.995809i | \(-0.470847\pi\) | ||||
0.0914594 | + | 0.995809i | \(0.470847\pi\) | |||||||
\(354\) | 7.67942 | + | 0.162609i | 0.408157 | + | 0.00864259i | ||||
\(355\) | −20.5627 | −1.09135 | ||||||||
\(356\) | 0.118176 | − | 0.0898349i | 0.00626330 | − | 0.00476124i | ||||
\(357\) | 1.52085 | − | 2.86862i | 0.0804917 | − | 0.151824i | ||||
\(358\) | −0.748044 | + | 2.69421i | −0.0395354 | + | 0.142394i | ||||
\(359\) | −21.7704 | + | 20.6220i | −1.14900 | + | 1.08839i | −0.154040 | + | 0.988065i | \(0.549229\pi\) |
−0.994955 | + | 0.100322i | \(0.968013\pi\) | |||||||
\(360\) | 0.310029 | + | 1.89109i | 0.0163399 | + | 0.0996693i | ||||
\(361\) | −2.98321 | − | 3.51211i | −0.157011 | − | 0.184848i | ||||
\(362\) | 3.08272 | + | 7.73705i | 0.162024 | + | 0.406650i | ||||
\(363\) | −2.75394 | − | 4.06175i | −0.144544 | − | 0.213187i | ||||
\(364\) | 0.0910046 | − | 0.555103i | 0.00476994 | − | 0.0290953i | ||||
\(365\) | −4.22667 | + | 2.54310i | −0.221234 | + | 0.133112i | ||||
\(366\) | 3.19723 | + | 3.02857i | 0.167122 | + | 0.158306i | ||||
\(367\) | −6.78857 | + | 10.0124i | −0.354360 | + | 0.522642i | −0.962534 | − | 0.271162i | \(-0.912592\pi\) |
0.608174 | + | 0.793804i | \(0.291902\pi\) | |||||||
\(368\) | 5.97886 | + | 1.31605i | 0.311670 | + | 0.0686037i | ||||
\(369\) | 0.192449 | + | 0.693140i | 0.0100185 | + | 0.0360834i | ||||
\(370\) | 0.197151 | + | 0.118622i | 0.0102494 | + | 0.00616685i | ||||
\(371\) | 2.29712 | − | 2.70437i | 0.119260 | − | 0.140404i | ||||
\(372\) | −1.31023 | − | 0.441469i | −0.0679324 | − | 0.0228891i | ||||
\(373\) | −28.4118 | − | 13.1447i | −1.47111 | − | 0.680606i | −0.489584 | − | 0.871956i | \(-0.662851\pi\) |
−0.981522 | + | 0.191350i | \(0.938714\pi\) | |||||||
\(374\) | 1.59141 | + | 3.00172i | 0.0822898 | + | 0.155215i | ||||
\(375\) | 11.8424 | − | 2.60671i | 0.611540 | − | 0.134610i | ||||
\(376\) | −3.37049 | + | 8.45928i | −0.173820 | + | 0.436254i | ||||
\(377\) | −1.05135 | + | 0.354242i | −0.0541474 | + | 0.0182444i | ||||
\(378\) | −2.34506 | − | 0.255041i | −0.120617 | − | 0.0131179i | ||||
\(379\) | −1.12117 | + | 20.6787i | −0.0575905 | + | 1.06219i | 0.816784 | + | 0.576943i | \(0.195755\pi\) |
−0.874375 | + | 0.485251i | \(0.838728\pi\) | |||||||
\(380\) | −0.393587 | − | 7.25928i | −0.0201906 | − | 0.372393i | ||||
\(381\) | −12.9181 | + | 1.40493i | −0.661815 | + | 0.0719768i | ||||
\(382\) | −7.13329 | + | 3.30021i | −0.364971 | + | 0.168853i | ||||
\(383\) | 4.10566 | + | 3.12104i | 0.209789 | + | 0.159478i | 0.704793 | − | 0.709413i | \(-0.251040\pi\) |
−0.495003 | + | 0.868891i | \(0.664833\pi\) | |||||||
\(384\) | 0.796093 | + | 0.605174i | 0.0406255 | + | 0.0308827i | ||||
\(385\) | 10.1266 | − | 4.68508i | 0.516101 | − | 0.238774i | ||||
\(386\) | 15.0557 | − | 1.63741i | 0.766316 | − | 0.0833419i | ||||
\(387\) | −0.000491625 | − | 0.00906749i | −2.49907e−5 | − | 0.000460926i | ||||
\(388\) | 0.602436 | − | 11.1113i | 0.0305841 | − | 0.564090i | ||||
\(389\) | 2.60214 | + | 0.283000i | 0.131934 | + | 0.0143487i | 0.173848 | − | 0.984773i | \(-0.444380\pi\) |
−0.0419138 | + | 0.999121i | \(0.513345\pi\) | |||||||
\(390\) | 0.433059 | − | 0.145915i | 0.0219288 | − | 0.00738867i | ||||
\(391\) | 3.11896 | − | 7.82800i | 0.157733 | − | 0.395879i | ||||
\(392\) | 1.40209 | − | 0.308622i | 0.0708160 | − | 0.0155878i | ||||
\(393\) | −3.48800 | − | 6.57908i | −0.175947 | − | 0.331870i | ||||
\(394\) | −15.8257 | − | 7.32175i | −0.797287 | − | 0.368864i | ||||
\(395\) | −29.1213 | − | 9.81210i | −1.46525 | − | 0.493700i | ||||
\(396\) | 1.59796 | − | 1.88127i | 0.0803007 | − | 0.0945373i | ||||
\(397\) | 5.75386 | + | 3.46198i | 0.288778 | + | 0.173752i | 0.652570 | − | 0.757728i | \(-0.273691\pi\) |
−0.363793 | + | 0.931480i | \(0.618518\pi\) | |||||||
\(398\) | −2.42808 | − | 8.74517i | −0.121709 | − | 0.438356i | ||||
\(399\) | 8.73962 | + | 1.92373i | 0.437528 | + | 0.0963072i | ||||
\(400\) | 0.745064 | − | 1.09889i | 0.0372532 | − | 0.0549443i | ||||
\(401\) | 7.14050 | + | 6.76384i | 0.356580 | + | 0.337770i | 0.844929 | − | 0.534878i | \(-0.179642\pi\) |
−0.488350 | + | 0.872648i | \(0.662401\pi\) | |||||||
\(402\) | 1.66733 | − | 1.00320i | 0.0831589 | − | 0.0500351i | ||||
\(403\) | −0.0533403 | + | 0.325361i | −0.00265707 | + | 0.0162074i | ||||
\(404\) | −2.69794 | − | 3.97917i | −0.134228 | − | 0.197971i | ||||
\(405\) | −0.709309 | − | 1.78023i | −0.0352458 | − | 0.0884604i | ||||
\(406\) | 7.10466 | + | 8.36426i | 0.352599 | + | 0.415111i | ||||
\(407\) | −0.0479460 | − | 0.292458i | −0.00237660 | − | 0.0144966i | ||||
\(408\) | 0.999281 | − | 0.946569i | 0.0494718 | − | 0.0468621i | ||||
\(409\) | 4.74789 | − | 17.1004i | 0.234768 | − | 0.845559i | −0.748460 | − | 0.663180i | \(-0.769206\pi\) |
0.983228 | − | 0.182379i | \(-0.0583798\pi\) | |||||||
\(410\) | −0.645718 | + | 1.21795i | −0.0318898 | + | 0.0601505i | ||||
\(411\) | 13.5183 | − | 10.2764i | 0.666811 | − | 0.506897i | ||||
\(412\) | 2.83739 | 0.139788 | ||||||||
\(413\) | −15.7196 | + | 9.01053i | −0.773513 | + | 0.443379i | ||||
\(414\) | −6.12199 | −0.300879 | ||||||||
\(415\) | −20.7132 | + | 15.7457i | −1.01677 | + | 0.772928i | ||||
\(416\) | 0.111699 | − | 0.210687i | 0.00547651 | − | 0.0103298i | ||||
\(417\) | 5.96071 | − | 21.4685i | 0.291897 | − | 1.05132i | ||||
\(418\) | −6.79824 | + | 6.43964i | −0.332513 | + | 0.314973i | ||||
\(419\) | −2.02609 | − | 12.3586i | −0.0989808 | − | 0.603756i | −0.989010 | − | 0.147852i | \(-0.952764\pi\) |
0.890029 | − | 0.455904i | \(-0.150684\pi\) | |||||||
\(420\) | −2.92646 | − | 3.44529i | −0.142797 | − | 0.168113i | ||||
\(421\) | −1.36657 | − | 3.42983i | −0.0666025 | − | 0.167160i | 0.891908 | − | 0.452217i | \(-0.149367\pi\) |
−0.958511 | + | 0.285057i | \(0.907987\pi\) | |||||||
\(422\) | −12.1418 | − | 17.9079i | −0.591055 | − | 0.871742i | ||||
\(423\) | 1.47319 | − | 8.98606i | 0.0716290 | − | 0.436917i | ||||
\(424\) | 1.28890 | − | 0.775508i | 0.0625947 | − | 0.0376620i | ||||
\(425\) | −1.32670 | − | 1.25672i | −0.0643545 | − | 0.0609598i | ||||
\(426\) | 6.02166 | − | 8.88128i | 0.291750 | − | 0.430300i | ||||
\(427\) | −10.1455 | − | 2.23319i | −0.490974 | − | 0.108072i | ||||
\(428\) | 1.03372 | + | 3.72311i | 0.0499666 | + | 0.179963i | ||||
\(429\) | −0.504357 | − | 0.303461i | −0.0243506 | − | 0.0146513i | ||||
\(430\) | 0.0112657 | − | 0.0132630i | 0.000543282 | − | 0.000639601i | ||||
\(431\) | −12.7972 | − | 4.31189i | −0.616422 | − | 0.207697i | −0.00626877 | − | 0.999980i | \(-0.501995\pi\) |
−0.610153 | + | 0.792284i | \(0.708892\pi\) | |||||||
\(432\) | −0.907575 | − | 0.419889i | −0.0436657 | − | 0.0202019i | ||||
\(433\) | −7.85477 | − | 14.8157i | −0.377476 | − | 0.711996i | 0.619877 | − | 0.784699i | \(-0.287182\pi\) |
−0.997354 | + | 0.0727030i | \(0.976837\pi\) | |||||||
\(434\) | 3.18517 | − | 0.701108i | 0.152893 | − | 0.0336543i | ||||
\(435\) | −3.29996 | + | 8.28227i | −0.158221 | + | 0.397104i | ||||
\(436\) | −3.01838 | + | 1.01701i | −0.144554 | + | 0.0487059i | ||||
\(437\) | 23.0886 | + | 2.51104i | 1.10448 | + | 0.120119i | ||||
\(438\) | 0.139357 | − | 2.57028i | 0.00665872 | − | 0.122813i | ||||
\(439\) | −1.76336 | − | 32.5233i | −0.0841607 | − | 1.55225i | −0.670329 | − | 0.742064i | \(-0.733847\pi\) |
0.586169 | − | 0.810189i | \(-0.300636\pi\) | |||||||
\(440\) | 4.70242 | − | 0.511419i | 0.224179 | − | 0.0243810i | ||||
\(441\) | −1.30296 | + | 0.602814i | −0.0620458 | + | 0.0287054i | ||||
\(442\) | −0.261302 | − | 0.198637i | −0.0124289 | − | 0.00944819i | ||||
\(443\) | 23.0824 | + | 17.5468i | 1.09668 | + | 0.833673i | 0.987068 | − | 0.160302i | \(-0.0512468\pi\) |
0.109610 | + | 0.993975i | \(0.465040\pi\) | |||||||
\(444\) | −0.108969 | + | 0.0504143i | −0.00517142 | + | 0.00239256i | ||||
\(445\) | −0.282802 | + | 0.0307566i | −0.0134061 | + | 0.00145800i | ||||
\(446\) | 1.03210 | + | 19.0360i | 0.0488715 | + | 0.901382i | ||||
\(447\) | −0.0378272 | + | 0.697682i | −0.00178917 | + | 0.0329992i | ||||
\(448\) | −2.34506 | − | 0.255041i | −0.110794 | − | 0.0120495i | ||||
\(449\) | −7.86762 | + | 2.65091i | −0.371296 | + | 0.125104i | −0.498762 | − | 0.866739i | \(-0.666212\pi\) |
0.127467 | + | 0.991843i | \(0.459315\pi\) | |||||||
\(450\) | −0.491416 | + | 1.23336i | −0.0231656 | + | 0.0581413i | ||||
\(451\) | 1.73411 | − | 0.381706i | 0.0816560 | − | 0.0179738i | ||||
\(452\) | −6.71774 | − | 12.6710i | −0.315976 | − | 0.595993i | ||||
\(453\) | −6.67702 | − | 3.08912i | −0.313714 | − | 0.145140i | ||||
\(454\) | −12.9365 | − | 4.35880i | −0.607138 | − | 0.204569i | ||||
\(455\) | −0.697860 | + | 0.821584i | −0.0327162 | + | 0.0385165i | ||||
\(456\) | 3.25063 | + | 1.95584i | 0.152225 | + | 0.0915906i | ||||
\(457\) | 6.63043 | + | 23.8806i | 0.310158 | + | 1.11709i | 0.940227 | + | 0.340550i | \(0.110613\pi\) |
−0.630068 | + | 0.776540i | \(0.716973\pi\) | |||||||
\(458\) | −0.260686 | − | 0.0573813i | −0.0121810 | − | 0.00268125i | ||||
\(459\) | −0.772434 | + | 1.13925i | −0.0360541 | + | 0.0531758i | ||||
\(460\) | −8.51722 | − | 8.06794i | −0.397118 | − | 0.376170i | ||||
\(461\) | 6.62746 | − | 3.98761i | 0.308672 | − | 0.185722i | −0.352786 | − | 0.935704i | \(-0.614766\pi\) |
0.661458 | + | 0.749982i | \(0.269938\pi\) | |||||||
\(462\) | −0.941978 | + | 5.74581i | −0.0438248 | + | 0.267319i | ||||
\(463\) | −16.9328 | − | 24.9741i | −0.786936 | − | 1.16064i | −0.983634 | − | 0.180180i | \(-0.942332\pi\) |
0.196698 | − | 0.980464i | \(-0.436978\pi\) | |||||||
\(464\) | 1.72201 | + | 4.32193i | 0.0799425 | + | 0.200641i | ||||
\(465\) | 1.71528 | + | 2.01938i | 0.0795441 | + | 0.0936465i | ||||
\(466\) | −2.05866 | − | 12.5573i | −0.0953656 | − | 0.581705i | ||||
\(467\) | −20.5393 | + | 19.4559i | −0.950447 | + | 0.900311i | −0.995118 | − | 0.0986908i | \(-0.968535\pi\) |
0.0446714 | + | 0.999002i | \(0.485776\pi\) | |||||||
\(468\) | −0.0637963 | + | 0.229774i | −0.00294899 | + | 0.0106213i | ||||
\(469\) | −2.15003 | + | 4.05540i | −0.0992794 | + | 0.187261i | ||||
\(470\) | 13.8920 | − | 10.5604i | 0.640789 | − | 0.487115i | ||||
\(471\) | −12.5492 | −0.578236 | ||||||||
\(472\) | −7.53484 | + | 1.49204i | −0.346819 | + | 0.0686768i | ||||
\(473\) | −0.0224144 | −0.00103062 | ||||||||
\(474\) | 12.7660 | − | 9.70443i | 0.586360 | − | 0.445739i | ||||
\(475\) | 2.35923 | − | 4.44997i | 0.108249 | − | 0.204179i | ||||
\(476\) | −0.868621 | + | 3.12849i | −0.0398132 | + | 0.143394i | ||||
\(477\) | −1.09206 | + | 1.03445i | −0.0500019 | + | 0.0473643i | ||||
\(478\) | 3.11429 | + | 18.9963i | 0.142444 | + | 0.868871i | ||||
\(479\) | 0.771508 | + | 0.908290i | 0.0352511 | + | 0.0415008i | 0.779505 | − | 0.626396i | \(-0.215471\pi\) |
−0.744254 | + | 0.667897i | \(0.767195\pi\) | |||||||
\(480\) | −0.709309 | − | 1.78023i | −0.0323754 | − | 0.0812561i | ||||
\(481\) | 0.0160677 | + | 0.0236980i | 0.000732622 | + | 0.00108054i | ||||
\(482\) | 0.168290 | − | 1.02652i | 0.00766538 | − | 0.0467568i | ||||
\(483\) | 12.3739 | − | 7.44516i | 0.563034 | − | 0.338766i | ||||
\(484\) | 3.56271 | + | 3.37477i | 0.161941 | + | 0.153399i | ||||
\(485\) | −11.9669 | + | 17.6498i | −0.543388 | + | 0.801437i | ||||
\(486\) | 0.976621 | + | 0.214970i | 0.0443004 | + | 0.00975126i | ||||
\(487\) | −0.0738418 | − | 0.265954i | −0.00334609 | − | 0.0120515i | 0.961858 | − | 0.273549i | \(-0.0881975\pi\) |
−0.965204 | + | 0.261497i | \(0.915784\pi\) | |||||||
\(488\) | −3.77353 | − | 2.27046i | −0.170820 | − | 0.102779i | ||||
\(489\) | 14.4945 | − | 17.0642i | 0.655462 | − | 0.771670i | ||||
\(490\) | −2.60717 | − | 0.878459i | −0.117780 | − | 0.0396847i | ||||
\(491\) | −29.1924 | − | 13.5059i | −1.31744 | − | 0.609511i | −0.369873 | − | 0.929082i | \(-0.620599\pi\) |
−0.947562 | + | 0.319572i | \(0.896461\pi\) | |||||||
\(492\) | −0.336955 | − | 0.635564i | −0.0151911 | − | 0.0286534i | ||||
\(493\) | 6.25392 | − | 1.37659i | 0.281662 | − | 0.0619986i | ||||
\(494\) | 0.334849 | − | 0.840408i | 0.0150656 | − | 0.0378117i | ||||
\(495\) | −4.48254 | + | 1.51034i | −0.201475 | + | 0.0678850i | ||||
\(496\) | 1.37450 | + | 0.149486i | 0.0617170 | + | 0.00671213i | ||||
\(497\) | −1.37033 | + | 25.2743i | −0.0614677 | + | 1.13371i | ||||
\(498\) | −0.735056 | − | 13.5573i | −0.0329386 | − | 0.607518i | ||||
\(499\) | −38.4296 | + | 4.17947i | −1.72034 | + | 0.187099i | −0.914378 | − | 0.404862i | \(-0.867319\pi\) |
−0.805967 | + | 0.591961i | \(0.798354\pi\) | |||||||
\(500\) | −11.0052 | + | 5.09154i | −0.492167 | + | 0.227701i | ||||
\(501\) | 12.6793 | + | 9.63858i | 0.566471 | + | 0.430620i | ||||
\(502\) | 12.4171 | + | 9.43926i | 0.554204 | + | 0.421295i | ||||
\(503\) | 4.60226 | − | 2.12923i | 0.205205 | − | 0.0949378i | −0.314595 | − | 0.949226i | \(-0.601869\pi\) |
0.519800 | + | 0.854288i | \(0.326007\pi\) | |||||||
\(504\) | 2.34506 | − | 0.255041i | 0.104457 | − | 0.0113604i | ||||
\(505\) | 0.498777 | + | 9.19940i | 0.0221953 | + | 0.409368i | ||||
\(506\) | −0.818098 | + | 15.0889i | −0.0363689 | + | 0.670785i | ||||
\(507\) | −12.8673 | − | 1.39940i | −0.571455 | − | 0.0621495i | ||||
\(508\) | 12.3141 | − | 4.14910i | 0.546349 | − | 0.184086i | ||||
\(509\) | −1.70492 | + | 4.27903i | −0.0755693 | + | 0.189665i | −0.961908 | − | 0.273372i | \(-0.911861\pi\) |
0.886339 | + | 0.463037i | \(0.153240\pi\) | |||||||
\(510\) | −2.57603 | + | 0.567027i | −0.114069 | + | 0.0251084i | ||||
\(511\) | 2.84413 | + | 5.36460i | 0.125817 | + | 0.237316i | ||||
\(512\) | −0.907575 | − | 0.419889i | −0.0401095 | − | 0.0185567i | ||||
\(513\) | −3.59508 | − | 1.21132i | −0.158727 | − | 0.0534813i | ||||
\(514\) | 5.95770 | − | 7.01394i | 0.262783 | − | 0.309372i | ||||
\(515\) | −4.65906 | − | 2.80327i | −0.205303 | − | 0.123527i | ||||
\(516\) | 0.00242937 | + | 0.00874981i | 0.000106947 | + | 0.000385189i | ||||
\(517\) | −21.9512 | − | 4.83182i | −0.965412 | − | 0.212503i | ||||
\(518\) | 0.158940 | − | 0.234419i | 0.00698343 | − | 0.0102998i | ||||
\(519\) | 12.7317 | + | 12.0601i | 0.558860 | + | 0.529380i | ||||
\(520\) | −0.391567 | + | 0.235598i | −0.0171713 | + | 0.0103317i | ||||
\(521\) | −6.52115 | + | 39.7773i | −0.285697 | + | 1.74267i | 0.320399 | + | 0.947283i | \(0.396183\pi\) |
−0.606096 | + | 0.795392i | \(0.707265\pi\) | |||||||
\(522\) | −2.61084 | − | 3.85070i | −0.114273 | − | 0.168541i | ||||
\(523\) | 2.08107 | + | 5.22309i | 0.0909989 | + | 0.228390i | 0.967431 | − | 0.253136i | \(-0.0814620\pi\) |
−0.876432 | + | 0.481526i | \(0.840083\pi\) | |||||||
\(524\) | 4.82076 | + | 5.67544i | 0.210596 | + | 0.247933i | ||||
\(525\) | −0.506668 | − | 3.09054i | −0.0221128 | − | 0.134882i | ||||
\(526\) | −13.9034 | + | 13.1700i | −0.606219 | + | 0.574241i | ||||
\(527\) | 0.509123 | − | 1.83369i | 0.0221777 | − | 0.0798770i | ||||
\(528\) | −1.15619 | + | 2.18080i | −0.0503166 | + | 0.0949072i | ||||
\(529\) | 11.5264 | − | 8.76216i | 0.501149 | − | 0.380964i | ||||
\(530\) | −2.88260 | −0.125212 | ||||||||
\(531\) | 7.03793 | − | 3.07693i | 0.305420 | − | 0.133527i | ||||
\(532\) | −8.94883 | −0.387981 | ||||||||
\(533\) | −0.136564 | + | 0.103813i | −0.00591525 | + | 0.00449665i | ||||
\(534\) | 0.0695327 | − | 0.131153i | 0.00300898 | − | 0.00567553i | ||||
\(535\) | 1.98095 | − | 7.13473i | 0.0856439 | − | 0.308461i | ||||
\(536\) | −1.41269 | + | 1.33817i | −0.0610190 | + | 0.0578003i | ||||
\(537\) | 0.452364 | + | 2.75930i | 0.0195209 | + | 0.119072i | ||||
\(538\) | 6.89462 | + | 8.11698i | 0.297248 | + | 0.349948i | ||||
\(539\) | 1.31164 | + | 3.29198i | 0.0564965 | + | 0.141796i | ||||
\(540\) | 1.07542 | + | 1.58613i | 0.0462788 | + | 0.0682562i | ||||
\(541\) | 6.49650 | − | 39.6269i | 0.279306 | − | 1.70369i | −0.358527 | − | 0.933519i | \(-0.616721\pi\) |
0.637833 | − | 0.770175i | \(-0.279831\pi\) | |||||||
\(542\) | 2.52518 | − | 1.51935i | 0.108466 | − | 0.0652617i | ||||
\(543\) | 6.04651 | + | 5.72755i | 0.259480 | + | 0.245793i | ||||
\(544\) | −0.772434 | + | 1.13925i | −0.0331178 | + | 0.0488451i | ||||
\(545\) | 5.96103 | + | 1.31212i | 0.255343 | + | 0.0562051i | ||||
\(546\) | −0.150488 | − | 0.542010i | −0.00644031 | − | 0.0231959i | ||||
\(547\) | −6.15788 | − | 3.70507i | −0.263292 | − | 0.158417i | 0.377787 | − | 0.925893i | \(-0.376685\pi\) |
−0.641079 | + | 0.767475i | \(0.721513\pi\) | |||||||
\(548\) | −10.9932 | + | 12.9422i | −0.469605 | + | 0.552862i | ||||
\(549\) | 4.17339 | + | 1.40618i | 0.178116 | + | 0.0600143i | ||||
\(550\) | 2.97421 | + | 1.37602i | 0.126821 | + | 0.0586736i | ||||
\(551\) | 8.26717 | + | 15.5935i | 0.352193 | + | 0.664307i | ||||
\(552\) | 5.97886 | − | 1.31605i | 0.254477 | − | 0.0560147i | ||||
\(553\) | −14.0010 | + | 35.1400i | −0.595385 | + | 1.49430i | ||||
\(554\) | −16.4637 | + | 5.54727i | −0.699476 | + | 0.235681i | ||||
\(555\) | 0.228737 | + | 0.0248767i | 0.00970936 | + | 0.00105596i | ||||
\(556\) | −1.20625 | + | 22.2480i | −0.0511564 | + | 0.943525i | ||||
\(557\) | −0.961828 | − | 17.7399i | −0.0407540 | − | 0.751663i | −0.945482 | − | 0.325674i | \(-0.894409\pi\) |
0.904728 | − | 0.425989i | \(-0.140074\pi\) | |||||||
\(558\) | −1.37450 | + | 0.149486i | −0.0581874 | + | 0.00632826i | ||||
\(559\) | 0.00196532 | 0.000909253i | 8.31241e−5 | 3.84573e-5i | ||||||
\(560\) | 3.59868 | + | 2.73564i | 0.152072 | + | 0.115602i | ||||
\(561\) | 2.70471 | + | 2.05607i | 0.114193 | + | 0.0868073i | ||||
\(562\) | 10.0591 | − | 4.65385i | 0.424319 | − | 0.196311i | ||||
\(563\) | −1.73409 | + | 0.188594i | −0.0730834 | + | 0.00794829i | −0.144588 | − | 0.989492i | \(-0.546186\pi\) |
0.0715043 | + | 0.997440i | \(0.477220\pi\) | |||||||
\(564\) | 0.492990 | + | 9.09267i | 0.0207586 | + | 0.382870i | ||||
\(565\) | −1.48792 | + | 27.4431i | −0.0625972 | + | 1.15454i | ||||
\(566\) | 25.5492 | + | 2.77865i | 1.07391 | + | 0.116795i | ||||
\(567\) | −2.23541 | + | 0.753196i | −0.0938783 | + | 0.0316313i | ||||
\(568\) | −3.97166 | + | 9.96812i | −0.166647 | + | 0.418253i | ||||
\(569\) | −9.00733 | + | 1.98266i | −0.377607 | + | 0.0831176i | −0.399718 | − | 0.916638i | \(-0.630892\pi\) |
0.0221116 | + | 0.999756i | \(0.492961\pi\) | |||||||
\(570\) | −3.40530 | − | 6.42308i | −0.142632 | − | 0.269033i | ||||
\(571\) | −16.3680 | − | 7.57263i | −0.684978 | − | 0.316905i | 0.0463548 | − | 0.998925i | \(-0.485240\pi\) |
−0.731333 | + | 0.682020i | \(0.761102\pi\) | |||||||
\(572\) | 0.557800 | + | 0.187945i | 0.0233228 | + | 0.00785837i | ||||
\(573\) | −5.08827 | + | 5.99038i | −0.212566 | + | 0.250252i | ||||
\(574\) | 1.45399 | + | 0.874839i | 0.0606885 | + | 0.0365151i | ||||
\(575\) | −2.17444 | − | 7.83164i | −0.0906806 | − | 0.326602i | ||||
\(576\) | 0.976621 | + | 0.214970i | 0.0406925 | + | 0.00895710i | ||||
\(577\) | 2.34568 | − | 3.45963i | 0.0976521 | − | 0.144026i | −0.775724 | − | 0.631072i | \(-0.782615\pi\) |
0.873376 | + | 0.487046i | \(0.161926\pi\) | |||||||
\(578\) | −10.9665 | − | 10.3880i | −0.456146 | − | 0.432084i | ||||
\(579\) | 12.9767 | − | 7.80781i | 0.539292 | − | 0.324481i | ||||
\(580\) | 1.44236 | − | 8.79803i | 0.0598909 | − | 0.365318i | ||||
\(581\) | 17.9732 | + | 26.5085i | 0.745655 | + | 1.09976i | ||||
\(582\) | −4.11875 | − | 10.3373i | −0.170728 | − | 0.428494i | ||||
\(583\) | 2.40369 | + | 2.82985i | 0.0995508 | + | 0.117200i | ||||
\(584\) | 0.416436 | + | 2.54015i | 0.0172322 | + | 0.105112i | ||||
\(585\) | 0.331766 | − | 0.314265i | 0.0137168 | − | 0.0129933i | ||||
\(586\) | −3.91408 | + | 14.0972i | −0.161689 | + | 0.582352i | ||||
\(587\) | −6.28784 | + | 11.8601i | −0.259527 | + | 0.489520i | −0.978696 | − | 0.205315i | \(-0.934178\pi\) |
0.719169 | + | 0.694835i | \(0.244523\pi\) | |||||||
\(588\) | 1.14291 | − | 0.868819i | 0.0471329 | − | 0.0358295i | ||||
\(589\) | 5.24516 | 0.216123 | ||||||||
\(590\) | 13.8465 | + | 4.99426i | 0.570052 | + | 0.205610i | ||||
\(591\) | −17.4373 | −0.717276 | ||||||||
\(592\) | 0.0955834 | − | 0.0726606i | 0.00392846 | − | 0.00298633i | ||||
\(593\) | 19.9519 | − | 37.6332i | 0.819325 | − | 1.54541i | −0.0187294 | − | 0.999825i | \(-0.505962\pi\) |
0.838055 | − | 0.545586i | \(-0.183693\pi\) | |||||||
\(594\) | 0.660349 | − | 2.37836i | 0.0270944 | − | 0.0975853i | ||||
\(595\) | 4.51717 | − | 4.27889i | 0.185186 | − | 0.175417i | ||||
\(596\) | −0.113038 | − | 0.689502i | −0.00463022 | − | 0.0282431i | ||||
\(597\) | −5.87567 | − | 6.91737i | −0.240475 | − | 0.283109i | ||||
\(598\) | −0.540359 | − | 1.35620i | −0.0220969 | − | 0.0554591i | ||||
\(599\) | −5.02570 | − | 7.41236i | −0.205345 | − | 0.302861i | 0.711046 | − | 0.703145i | \(-0.248222\pi\) |
−0.916391 | + | 0.400285i | \(0.868911\pi\) | |||||||
\(600\) | 0.214791 | − | 1.31017i | 0.00876880 | − | 0.0534873i | ||||
\(601\) | −13.1073 | + | 7.88637i | −0.534656 | + | 0.321692i | −0.757149 | − | 0.653242i | \(-0.773408\pi\) |
0.222493 | + | 0.974934i | \(0.428581\pi\) | |||||||
\(602\) | −0.0155513 | − | 0.0147309i | −0.000633822 | − | 0.000600388i | ||||
\(603\) | 1.09200 | − | 1.61057i | 0.0444695 | − | 0.0655876i | ||||
\(604\) | 7.18499 | + | 1.58154i | 0.292353 | + | 0.0643518i | ||||
\(605\) | −2.51587 | − | 9.06133i | −0.102284 | − | 0.368395i | ||||
\(606\) | −4.11940 | − | 2.47856i | −0.167339 | − | 0.100685i | ||||
\(607\) | 12.3938 | − | 14.5911i | 0.503049 | − | 0.592236i | −0.450761 | − | 0.892645i | \(-0.648847\pi\) |
0.953810 | + | 0.300409i | \(0.0971232\pi\) | |||||||
\(608\) | −3.59508 | − | 1.21132i | −0.145800 | − | 0.0491257i | ||||
\(609\) | 9.96008 | + | 4.60802i | 0.403603 | + | 0.186727i | ||||
\(610\) | 3.95308 | + | 7.45631i | 0.160056 | + | 0.301897i | ||||
\(611\) | 2.12071 | − | 0.466803i | 0.0857946 | − | 0.0188848i | ||||
\(612\) | 0.509469 | − | 1.27867i | 0.0205940 | − | 0.0516872i | ||||
\(613\) | 39.8216 | − | 13.4174i | 1.60838 | − | 0.541926i | 0.635273 | − | 0.772288i | \(-0.280888\pi\) |
0.973105 | + | 0.230362i | \(0.0739910\pi\) | |||||||
\(614\) | −16.8111 | − | 1.82832i | −0.678441 | − | 0.0737849i | ||||
\(615\) | −0.0746325 | + | 1.37652i | −0.00300947 | + | 0.0555064i | ||||
\(616\) | −0.315225 | − | 5.81398i | −0.0127008 | − | 0.234252i | ||||
\(617\) | 5.02168 | − | 0.546141i | 0.202165 | − | 0.0219868i | −0.00647597 | − | 0.999979i | \(-0.502061\pi\) |
0.208641 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(618\) | 2.57514 | − | 1.19139i | 0.103587 | − | 0.0479247i | ||||
\(619\) | −22.1462 | − | 16.8351i | −0.890132 | − | 0.676661i | 0.0566990 | − | 0.998391i | \(-0.481942\pi\) |
−0.946831 | + | 0.321730i | \(0.895736\pi\) | |||||||
\(620\) | −2.10928 | − | 1.60343i | −0.0847108 | − | 0.0643955i | ||||
\(621\) | −5.55617 | + | 2.57056i | −0.222961 | + | 0.103153i | ||||
\(622\) | −13.6617 | + | 1.48580i | −0.547785 | + | 0.0595752i | ||||
\(623\) | 0.0189575 | + | 0.349651i | 0.000759517 | + | 0.0140085i | ||||
\(624\) | 0.0129103 | − | 0.238116i | 0.000516825 | − | 0.00953227i | ||||
\(625\) | 16.5017 | + | 1.79467i | 0.660070 | + | 0.0717869i | ||||
\(626\) | −23.0237 | + | 7.75758i | −0.920211 | + | 0.310055i | ||||
\(627\) | −3.46598 | + | 8.69897i | −0.138418 | + | 0.347403i | ||||
\(628\) | 12.2558 | − | 2.69770i | 0.489059 | − | 0.107650i | ||||
\(629\) | −0.0774100 | − | 0.146011i | −0.00308654 | − | 0.00582183i | ||||
\(630\) | −4.10262 | − | 1.89808i | −0.163452 | − | 0.0756211i | ||||
\(631\) | −20.5408 | − | 6.92100i | −0.817717 | − | 0.275521i | −0.120804 | − | 0.992676i | \(-0.538547\pi\) |
−0.696913 | + | 0.717156i | \(0.745444\pi\) | |||||||
\(632\) | −10.3813 | + | 12.2218i | −0.412947 | + | 0.486159i | ||||
\(633\) | −18.5390 | − | 11.1545i | −0.736857 | − | 0.443352i | ||||
\(634\) | −7.75306 | − | 27.9240i | −0.307913 | − | 1.10900i | ||||
\(635\) | −24.3193 | − | 5.35307i | −0.965080 | − | 0.212430i | ||||
\(636\) | 0.844150 | − | 1.24503i | 0.0334727 | − | 0.0493686i | ||||
\(637\) | −0.248547 | − | 0.235436i | −0.00984779 | − | 0.00932832i | ||||
\(638\) | −9.83977 | + | 5.92039i | −0.389560 | + | 0.234391i | ||||
\(639\) | 1.73596 | − | 10.5889i | 0.0686734 | − | 0.418889i | ||||
\(640\) | 1.07542 | + | 1.58613i | 0.0425098 | + | 0.0626973i | ||||
\(641\) | −9.62629 | − | 24.1602i | −0.380216 | − | 0.954269i | −0.987190 | − | 0.159548i | \(-0.948996\pi\) |
0.606975 | − | 0.794721i | \(-0.292383\pi\) | |||||||
\(642\) | 2.50147 | + | 2.94496i | 0.0987251 | + | 0.116228i | ||||
\(643\) | −6.61978 | − | 40.3789i | −0.261059 | − | 1.59239i | −0.713541 | − | 0.700614i | \(-0.752910\pi\) |
0.452482 | − | 0.891774i | \(-0.350539\pi\) | |||||||
\(644\) | −10.4842 | + | 9.93112i | −0.413134 | + | 0.391341i | ||||
\(645\) | 0.00465549 | − | 0.0167676i | 0.000183310 | − | 0.000660223i | ||||
\(646\) | −2.44589 | + | 4.61344i | −0.0962324 | + | 0.181514i | ||||
\(647\) | 25.6348 | − | 19.4871i | 1.00781 | − | 0.766115i | 0.0353924 | − | 0.999373i | \(-0.488732\pi\) |
0.972415 | + | 0.233258i | \(0.0749388\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | −6.64324 | − | 17.7577i | −0.260770 | − | 0.697049i | ||||
\(650\) | −0.316601 | −0.0124181 | ||||||||
\(651\) | 2.59639 | − | 1.97373i | 0.101761 | − | 0.0773564i | ||||
\(652\) | −10.4873 | + | 19.7811i | −0.410714 | + | 0.774689i | ||||
\(653\) | 1.45444 | − | 5.23844i | 0.0569168 | − | 0.204996i | −0.929624 | − | 0.368508i | \(-0.879869\pi\) |
0.986541 | + | 0.163512i | \(0.0522824\pi\) | |||||||
\(654\) | −2.31237 | + | 2.19040i | −0.0904209 | + | 0.0856513i | ||||
\(655\) | −2.30863 | − | 14.0820i | −0.0902056 | − | 0.550230i | ||||
\(656\) | 0.465704 | + | 0.548269i | 0.0181827 | + | 0.0214063i | ||||
\(657\) | −0.952756 | − | 2.39124i | −0.0371706 | − | 0.0932911i | ||||
\(658\) | −12.0543 | − | 17.7788i | −0.469927 | − | 0.693091i | ||||
\(659\) | −0.520175 | + | 3.17293i | −0.0202631 | + | 0.123600i | −0.995021 | − | 0.0996646i | \(-0.968223\pi\) |
0.974758 | + | 0.223264i | \(0.0716713\pi\) | |||||||
\(660\) | 4.05307 | − | 2.43865i | 0.157765 | − | 0.0949243i | ||||
\(661\) | −4.72963 | − | 4.48015i | −0.183961 | − | 0.174257i | 0.590177 | − | 0.807274i | \(-0.299058\pi\) |
−0.774138 | + | 0.633016i | \(0.781817\pi\) | |||||||
\(662\) | −11.0789 | + | 16.3402i | −0.430594 | + | 0.635079i | ||||
\(663\) | −0.320557 | − | 0.0705599i | −0.0124494 | − | 0.00274032i | ||||
\(664\) | 3.63229 | + | 13.0823i | 0.140960 | + | 0.507693i | ||||
\(665\) | 14.6942 | + | 8.84122i | 0.569817 | + | 0.342848i | ||||
\(666\) | −0.0777289 | + | 0.0915095i | −0.00301193 | + | 0.00354592i | ||||
\(667\) | 26.9907 | + | 9.09424i | 1.04509 | + | 0.352130i | ||||
\(668\) | −14.4549 | − | 6.68756i | −0.559277 | − | 0.258749i | ||||
\(669\) | 8.92974 | + | 16.8433i | 0.345244 | + | 0.651198i | ||||
\(670\) | 3.64176 | − | 0.801611i | 0.140693 | − | 0.0309689i | ||||
\(671\) | 4.02353 | − | 10.0983i | 0.155327 | − | 0.389840i | ||||
\(672\) | −2.23541 | + | 0.753196i | −0.0862327 | + | 0.0290552i | ||||
\(673\) | 17.1428 | + | 1.86439i | 0.660807 | + | 0.0718671i | 0.432377 | − | 0.901693i | \(-0.357675\pi\) |
0.228430 | + | 0.973560i | \(0.426641\pi\) | |||||||
\(674\) | 1.04818 | − | 19.3326i | 0.0403745 | − | 0.744665i | ||||
\(675\) | 0.0718779 | + | 1.32571i | 0.00276658 | + | 0.0510266i | ||||
\(676\) | 12.8673 | − | 1.39940i | 0.494895 | − | 0.0538230i | ||||
\(677\) | −19.0123 | + | 8.79602i | −0.730702 | + | 0.338059i | −0.749715 | − | 0.661761i | \(-0.769809\pi\) |
0.0190136 | + | 0.999819i | \(0.493947\pi\) | |||||||
\(678\) | −11.4173 | − | 8.67918i | −0.438477 | − | 0.333322i | ||||
\(679\) | 20.8965 | + | 15.8851i | 0.801933 | + | 0.609613i | ||||
\(680\) | 2.39391 | − | 1.10754i | 0.0918023 | − | 0.0424723i | ||||
\(681\) | −13.5710 | + | 1.47594i | −0.520043 | + | 0.0565581i | ||||
\(682\) | 0.184762 | + | 3.40773i | 0.00707489 | + | 0.130489i | ||||
\(683\) | −2.76997 | + | 51.0892i | −0.105990 | + | 1.95487i | 0.151179 | + | 0.988506i | \(0.451693\pi\) |
−0.257169 | + | 0.966367i | \(0.582790\pi\) | |||||||
\(684\) | 3.77143 | + | 0.410168i | 0.144204 | + | 0.0156832i | ||||
\(685\) | 30.8376 | − | 10.3904i | 1.17824 | − | 0.396997i | ||||
\(686\) | −7.36529 | + | 18.4855i | −0.281208 | + | 0.705779i | ||||
\(687\) | −0.260686 | + | 0.0573813i | −0.00994578 | + | 0.00218923i | ||||
\(688\) | −0.00425353 | − | 0.00802300i | −0.000162164 | − | 0.000305874i | ||||
\(689\) | −0.325552 | − | 0.150617i | −0.0124026 | − | 0.00573803i | ||||
\(690\) | −11.1177 | − | 3.74598i | −0.423242 | − | 0.142607i | ||||
\(691\) | 1.26037 | − | 1.48382i | 0.0479466 | − | 0.0564471i | −0.737666 | − | 0.675166i | \(-0.764072\pi\) |
0.785613 | + | 0.618719i | \(0.212348\pi\) | |||||||
\(692\) | −15.0266 | − | 9.04121i | −0.571226 | − | 0.343695i | ||||
\(693\) | 1.55769 | + | 5.61029i | 0.0591717 | + | 0.213117i | ||||
\(694\) | −11.4582 | − | 2.52215i | −0.434949 | − | 0.0957395i | ||||
\(695\) | 23.9611 | − | 35.3400i | 0.908898 | − | 1.34052i | ||||
\(696\) | 3.37759 | + | 3.19942i | 0.128027 | + | 0.121274i | ||||
\(697\) | 0.848416 | − | 0.510475i | 0.0321360 | − | 0.0193356i | ||||
\(698\) | −5.18237 | + | 31.6111i | −0.196156 | + | 1.19650i | ||||
\(699\) | −7.14105 | − | 10.5323i | −0.270099 | − | 0.398367i | ||||
\(700\) | 1.15920 | + | 2.90936i | 0.0438135 | + | 0.109964i | ||||
\(701\) | 22.1500 | + | 26.0770i | 0.836594 | + | 0.984915i | 0.999999 | − | 0.00164446i | \(-0.000523448\pi\) |
−0.163405 | + | 0.986559i | \(0.552248\pi\) | |||||||
\(702\) | 0.0385795 | + | 0.235324i | 0.00145609 | + | 0.00888174i | ||||
\(703\) | 0.330683 | − | 0.313240i | 0.0124719 | − | 0.0118141i | ||||
\(704\) | 0.660349 | − | 2.37836i | 0.0248878 | − | 0.0896378i | ||||
\(705\) | 8.17382 | − | 15.4175i | 0.307844 | − | 0.580655i | ||||
\(706\) | −2.73596 | + | 2.07982i | −0.102969 | + | 0.0782751i | ||||
\(707\) | 11.3405 | 0.426504 | ||||||||
\(708\) | −6.21194 | + | 4.51794i | −0.233459 | + | 0.169794i | ||||
\(709\) | 28.4426 | 1.06818 | 0.534092 | − | 0.845426i | \(-0.320654\pi\) | ||||
0.534092 | + | 0.845426i | \(0.320654\pi\) | |||||||
\(710\) | 16.3698 | − | 12.4440i | 0.614348 | − | 0.467016i | ||||
\(711\) | 7.51128 | − | 14.1678i | 0.281695 | − | 0.531333i | ||||
\(712\) | −0.0397131 | + | 0.143034i | −0.00148831 | + | 0.00536042i | ||||
\(713\) | 6.14505 | − | 5.82090i | 0.230134 | − | 0.217994i | ||||
\(714\) | 0.525280 | + | 3.20407i | 0.0196581 | + | 0.119909i | ||||
\(715\) | −0.730238 | − | 0.859703i | −0.0273094 | − | 0.0321511i | ||||
\(716\) | −1.03495 | − | 2.59754i | −0.0386781 | − | 0.0970746i | ||||
\(717\) | 10.8028 | + | 15.9329i | 0.403438 | + | 0.595026i | ||||
\(718\) | 4.85134 | − | 29.5919i | 0.181050 | − | 1.10436i | ||||
\(719\) | −30.2857 | + | 18.2223i | −1.12947 | + | 0.679578i | −0.952470 | − | 0.304634i | \(-0.901466\pi\) |
−0.176997 | + | 0.984211i | \(0.556638\pi\) | |||||||
\(720\) | −1.39125 | − | 1.31786i | −0.0518489 | − | 0.0491139i | ||||
\(721\) | −3.75607 | + | 5.53979i | −0.139883 | + | 0.206312i | ||||
\(722\) | 4.50035 | + | 0.990602i | 0.167486 | + | 0.0368664i | ||||
\(723\) | −0.278290 | − | 1.00231i | −0.0103497 | − | 0.0372763i | ||||
\(724\) | −7.13640 | − | 4.29383i | −0.265222 | − | 0.159579i | ||||
\(725\) | 3.99873 | − | 4.70767i | 0.148509 | − | 0.174838i | ||||
\(726\) | 4.65046 | + | 1.56692i | 0.172595 | + | 0.0581539i | ||||
\(727\) | −16.5368 | − | 7.65072i | −0.613314 | − | 0.283749i | 0.0885369 | − | 0.996073i | \(-0.471781\pi\) |
−0.701851 | + | 0.712323i | \(0.747643\pi\) | |||||||
\(728\) | 0.263486 | + | 0.496988i | 0.00976545 | + | 0.0184196i | ||||
\(729\) | 0.976621 | − | 0.214970i | 0.0361711 | − | 0.00796187i | ||||
\(730\) | 1.82580 | − | 4.58242i | 0.0675759 | − | 0.169603i | ||||
\(731\) | −0.0118448 | + | 0.00399097i | −0.000438095 | + | 0.000147611i | ||||
\(732\) | −4.37811 | − | 0.476148i | −0.161819 | − | 0.0175989i | ||||
\(733\) | −2.36394 | + | 43.6003i | −0.0873141 | + | 1.61041i | 0.546860 | + | 0.837224i | \(0.315823\pi\) |
−0.634175 | + | 0.773190i | \(0.718660\pi\) | |||||||
\(734\) | −0.654907 | − | 12.0791i | −0.0241731 | − | 0.445846i | ||||
\(735\) | −2.73506 | + | 0.297456i | −0.100884 | + | 0.0109718i | ||||
\(736\) | −5.55617 | + | 2.57056i | −0.204803 | + | 0.0947520i | ||||
\(737\) | −3.82367 | − | 2.90668i | −0.140847 | − | 0.107069i | ||||
\(738\) | −0.572678 | − | 0.435339i | −0.0210806 | − | 0.0160250i | ||||
\(739\) | 41.9716 | − | 19.4181i | 1.54395 | − | 0.714307i | 0.551185 | − | 0.834383i | \(-0.314176\pi\) |
0.992765 | + | 0.120076i | \(0.0383137\pi\) | |||||||
\(740\) | −0.228737 | + | 0.0248767i | −0.00840855 | + | 0.000914485i | ||||
\(741\) | −0.0489773 | − | 0.903333i | −0.00179923 | − | 0.0331848i | ||||
\(742\) | −0.192101 | + | 3.54309i | −0.00705224 | + | 0.130071i | ||||
\(743\) | 33.6312 | + | 3.65761i | 1.23381 | + | 0.134185i | 0.701688 | − | 0.712484i | \(-0.252430\pi\) |
0.532120 | + | 0.846669i | \(0.321395\pi\) | |||||||
\(744\) | 1.31023 | − | 0.441469i | 0.0480355 | − | 0.0161850i | ||||
\(745\) | −0.495599 | + | 1.24386i | −0.0181573 | + | 0.0455715i | ||||
\(746\) | 30.5732 | − | 6.72968i | 1.11937 | − | 0.246391i | ||||
\(747\) | −6.35969 | − | 11.9956i | −0.232689 | − | 0.438897i | ||||
\(748\) | −3.08347 | − | 1.42657i | −0.112743 | − | 0.0521604i | ||||
\(749\) | −8.63751 | − | 2.91032i | −0.315608 | − | 0.106341i | ||||
\(750\) | −7.85015 | + | 9.24191i | −0.286647 | + | 0.337467i | ||||
\(751\) | 28.7175 | + | 17.2788i | 1.04792 | + | 0.630512i | 0.931892 | − | 0.362735i | \(-0.118157\pi\) |
0.116026 | + | 0.993246i | \(0.462984\pi\) | |||||||
\(752\) | −2.43612 | − | 8.77411i | −0.0888361 | − | 0.319959i | ||||
\(753\) | 15.2329 | + | 3.35302i | 0.555119 | + | 0.122191i | ||||
\(754\) | 0.622596 | − | 0.918261i | 0.0226736 | − | 0.0334411i | ||||
\(755\) | −10.2354 | − | 9.69551i | −0.372505 | − | 0.352856i | ||||
\(756\) | 2.02123 | − | 1.21613i | 0.0735114 | − | 0.0442303i | ||||
\(757\) | −7.39797 | + | 45.1256i | −0.268884 | + | 1.64012i | 0.414493 | + | 0.910053i | \(0.363959\pi\) |
−0.683377 | + | 0.730066i | \(0.739489\pi\) | |||||||
\(758\) | −11.6217 | − | 17.1407i | −0.422118 | − | 0.622578i | ||||
\(759\) | 5.59319 | + | 14.0379i | 0.203020 | + | 0.509542i | ||||
\(760\) | 4.70646 | + | 5.54087i | 0.170721 | + | 0.200989i | ||||
\(761\) | −7.21865 | − | 44.0318i | −0.261676 | − | 1.59615i | −0.711269 | − | 0.702920i | \(-0.751879\pi\) |
0.449593 | − | 0.893233i | \(-0.351569\pi\) | |||||||
\(762\) | 9.43380 | − | 8.93617i | 0.341751 | − | 0.323723i | ||||
\(763\) | 2.01002 | − | 7.23945i | 0.0727677 | − | 0.262086i | ||||
\(764\) | 3.68156 | − | 6.94415i | 0.133194 | − | 0.251231i | ||||
\(765\) | −2.09985 | + | 1.59627i | −0.0759204 | + | 0.0577132i | ||||
\(766\) | −5.15726 | −0.186339 | ||||||||
\(767\) | 1.30283 | + | 1.28752i | 0.0470426 | + | 0.0464897i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 12.3586 | − | 9.39475i | 0.445662 | − | 0.338783i | −0.358153 | − | 0.933663i | \(-0.616593\pi\) |
0.803815 | + | 0.594880i | \(0.202800\pi\) | |||||||
\(770\) | −5.22645 | + | 9.85814i | −0.188348 | + | 0.355263i | ||||
\(771\) | 2.46198 | − | 8.86725i | 0.0886661 | − | 0.319346i | ||||
\(772\) | −10.9948 | + | 10.4149i | −0.395713 | + | 0.374839i | ||||
\(773\) | 8.16345 | + | 49.7948i | 0.293619 | + | 1.79099i | 0.561431 | + | 0.827524i | \(0.310251\pi\) |
−0.267812 | + | 0.963471i | \(0.586301\pi\) | |||||||
\(774\) | 0.00587879 | + | 0.00692104i | 0.000211309 | + | 0.000248772i | ||||
\(775\) | −0.679436 | − | 1.70526i | −0.0244061 | − | 0.0612546i | ||||
\(776\) | 6.24467 | + | 9.21020i | 0.224170 | + | 0.330627i | ||||
\(777\) | 0.0458201 | − | 0.279490i | 0.00164379 | − | 0.0100267i | ||||
\(778\) | −2.24281 | + | 1.34945i | −0.0804087 | + | 0.0483803i | ||||
\(779\) | 1.98125 | + | 1.87674i | 0.0709858 | + | 0.0672413i | ||||
\(780\) | −0.256451 | + | 0.378238i | −0.00918244 | + | 0.0135431i | ||||
\(781\) | −25.8665 | − | 5.69365i | −0.925577 | − | 0.203735i | ||||
\(782\) | 2.25432 | + | 8.11933i | 0.0806144 | + | 0.290347i | ||||
\(783\) | −3.98640 | − | 2.39854i | −0.142462 | − | 0.0857168i | ||||
\(784\) | −0.929420 | + | 1.09420i | −0.0331936 | + | 0.0390785i | ||||
\(785\) | −22.7896 | − | 7.67871i | −0.813395 | − | 0.274065i | ||||
\(786\) | 6.75826 | + | 3.12671i | 0.241059 | + | 0.111526i | ||||
\(787\) | −12.3982 | − | 23.3855i | −0.441947 | − | 0.833601i | −0.999993 | − | 0.00379085i | \(-0.998793\pi\) |
0.558045 | − | 0.829810i | \(-0.311551\pi\) | |||||||
\(788\) | 17.0297 | − | 3.74851i | 0.606657 | − | 0.133535i | ||||
\(789\) | −7.08847 | + | 17.7907i | −0.252356 | + | 0.633366i | ||||
\(790\) | 29.1213 | − | 9.81210i | 1.03609 | − | 0.349099i | ||||
\(791\) | 33.6319 | + | 3.65769i | 1.19581 | + | 0.130053i | ||||
\(792\) | −0.133633 | + | 2.46471i | −0.00474843 | + | 0.0875797i | ||||
\(793\) | 0.0568558 | + | 1.04864i | 0.00201901 | + | 0.0372384i | ||||
\(794\) | −6.67571 | + | 0.726027i | −0.236912 | + | 0.0257657i | ||||
\(795\) | −2.61617 | + | 1.21037i | −0.0927861 | + | 0.0429274i | ||||
\(796\) | 7.22533 | + | 5.49255i | 0.256095 | + | 0.194678i | ||||
\(797\) | 12.0804 | + | 9.18330i | 0.427910 | + | 0.325289i | 0.796864 | − | 0.604159i | \(-0.206491\pi\) |
−0.368954 | + | 0.929448i | \(0.620284\pi\) | |||||||
\(798\) | −8.12174 | + | 3.75752i | −0.287507 | + | 0.133015i | ||||
\(799\) | −12.4603 | + | 1.35514i | −0.440814 | + | 0.0479414i | ||||
\(800\) | 0.0718779 | + | 1.32571i | 0.00254127 | + | 0.0468709i | ||||
\(801\) | 0.00803663 | − | 0.148227i | 0.000283960 | − | 0.00523734i | ||||
\(802\) | −9.77781 | − | 1.06340i | −0.345266 | − | 0.0375500i | ||||
\(803\) | −6.02103 | + | 2.02872i | −0.212478 | + | 0.0715920i | ||||
\(804\) | −0.720240 | + | 1.80767i | −0.0254009 | + | 0.0637515i | ||||
\(805\) | 27.0270 | − | 5.94908i | 0.952575 | − | 0.209678i | ||||
\(806\) | −0.154436 | − | 0.291298i | −0.00543979 | − | 0.0102605i | ||||
\(807\) | 9.66562 | + | 4.47179i | 0.340246 | + | 0.157415i | ||||
\(808\) | 4.55591 | + | 1.53506i | 0.160276 | + | 0.0540034i | ||||
\(809\) | 1.22176 | − | 1.43837i | 0.0429548 | − | 0.0505703i | −0.740265 | − | 0.672315i | \(-0.765300\pi\) |
0.783220 | + | 0.621745i | \(0.213576\pi\) | |||||||
\(810\) | 1.64203 | + | 0.987974i | 0.0576949 | + | 0.0347139i | ||||
\(811\) | −4.52085 | − | 16.2826i | −0.158748 | − | 0.571760i | −0.999538 | − | 0.0303980i | \(-0.990323\pi\) |
0.840789 | − | 0.541362i | \(-0.182091\pi\) | |||||||
\(812\) | −10.7178 | − | 2.35917i | −0.376121 | − | 0.0827905i | ||||
\(813\) | 1.65383 | − | 2.43922i | 0.0580024 | − | 0.0855472i | ||||
\(814\) | 0.215157 | + | 0.203808i | 0.00754126 | + | 0.00714346i | ||||
\(815\) | 36.7637 | − | 22.1200i | 1.28777 | − | 0.774828i | ||||
\(816\) | −0.222681 | + | 1.35830i | −0.00779540 | + | 0.0475499i | ||||
\(817\) | −0.0193326 | − | 0.0285135i | −0.000676364 | − | 0.000997562i | ||||
\(818\) | 6.56894 | + | 16.4868i | 0.229677 | + | 0.576447i | ||||
\(819\) | −0.364164 | − | 0.428727i | −0.0127249 | − | 0.0149809i | ||||
\(820\) | −0.223022 | − | 1.36038i | −0.00778828 | − | 0.0475064i | ||||
\(821\) | −11.6736 | + | 11.0578i | −0.407410 | + | 0.385919i | −0.863779 | − | 0.503871i | \(-0.831909\pi\) |
0.456368 | + | 0.889791i | \(0.349150\pi\) | |||||||
\(822\) | −4.54286 | + | 16.3619i | −0.158451 | + | 0.570687i | ||||
\(823\) | 19.3414 | − | 36.4817i | 0.674197 | − | 1.27167i | −0.276340 | − | 0.961060i | \(-0.589122\pi\) |
0.950537 | − | 0.310611i | \(-0.100534\pi\) | |||||||
\(824\) | −2.25882 | + | 1.71711i | −0.0786899 | + | 0.0598185i | ||||
\(825\) | 3.27710 | 0.114094 | ||||||||
\(826\) | 7.06135 | − | 16.6863i | 0.245696 | − | 0.580592i | ||||
\(827\) | 19.4042 | 0.674749 | 0.337374 | − | 0.941371i | \(-0.390461\pi\) | ||||
0.337374 | + | 0.941371i | \(0.390461\pi\) | |||||||
\(828\) | 4.87367 | − | 3.70487i | 0.169372 | − | 0.128753i | ||||
\(829\) | 16.7365 | − | 31.5683i | 0.581281 | − | 1.09641i | −0.402225 | − | 0.915541i | \(-0.631763\pi\) |
0.983507 | − | 0.180872i | \(-0.0578921\pi\) | |||||||
\(830\) | 6.96069 | − | 25.0701i | 0.241609 | − | 0.870197i | ||||
\(831\) | −12.6128 | + | 11.9475i | −0.437534 | + | 0.414454i | ||||
\(832\) | 0.0385795 | + | 0.235324i | 0.00133750 | + | 0.00815840i | ||||
\(833\) | 1.27928 | + | 1.50609i | 0.0443244 | + | 0.0521828i | ||||
\(834\) | 8.24693 | + | 20.6982i | 0.285568 | + | 0.716721i | ||||
\(835\) | 17.1282 | + | 25.2622i | 0.592746 | + | 0.874235i | ||||
\(836\) | 1.51493 | − | 9.24067i | 0.0523950 | − | 0.319595i | ||||
\(837\) | −1.18470 | + | 0.712809i | −0.0409491 | + | 0.0246383i | ||||
\(838\) | 9.09205 | + | 8.61244i | 0.314080 | + | 0.297512i | ||||
\(839\) | −22.4517 | + | 33.1138i | −0.775118 | + | 1.14321i | 0.211051 | + | 0.977475i | \(0.432311\pi\) |
−0.986170 | + | 0.165739i | \(0.946999\pi\) | |||||||
\(840\) | 4.41474 | + | 0.971757i | 0.152323 | + | 0.0335288i | ||||
\(841\) | −1.96783 | − | 7.08748i | −0.0678562 | − | 0.244396i | ||||
\(842\) | 3.16356 | + | 1.90345i | 0.109024 | + | 0.0655973i | ||||
\(843\) | 7.17533 | − | 8.44745i | 0.247131 | − | 0.290945i | ||||
\(844\) | 20.5034 | + | 6.90840i | 0.705757 | + | 0.237797i | ||||
\(845\) | −22.5109 | − | 10.4147i | −0.774400 | − | 0.358276i | ||||
\(846\) | 4.26534 | + | 8.04528i | 0.146645 | + | 0.276602i | ||||
\(847\) | −11.3052 | + | 2.48847i | −0.388452 | + | 0.0855048i | ||||
\(848\) | −0.556770 | + | 1.39739i | −0.0191196 | + | 0.0479865i | ||||
\(849\) | 24.3546 | − | 8.20601i | 0.835847 | − | 0.281629i | ||||
\(850\) | 1.81671 | + | 0.197579i | 0.0623127 | + | 0.00677691i | ||||
\(851\) | 0.0397943 | − | 0.733963i | 0.00136413 | − | 0.0251599i | ||||
\(852\) | 0.580922 | + | 10.7145i | 0.0199021 | + | 0.367072i | ||||
\(853\) | −24.1802 | + | 2.62976i | −0.827916 | + | 0.0900412i | −0.512258 | − | 0.858832i | \(-0.671191\pi\) |
−0.315658 | + | 0.948873i | \(0.602225\pi\) | |||||||
\(854\) | 9.42822 | − | 4.36196i | 0.322627 | − | 0.149263i | ||||
\(855\) | −5.78755 | − | 4.39958i | −0.197930 | − | 0.150462i | ||||
\(856\) | −3.07607 | − | 2.33836i | −0.105138 | − | 0.0799237i | ||||
\(857\) | −7.17815 | + | 3.32097i | −0.245201 | + | 0.113442i | −0.538641 | − | 0.842535i | \(-0.681062\pi\) |
0.293440 | + | 0.955978i | \(0.405200\pi\) | |||||||
\(858\) | 0.585162 | − | 0.0636402i | 0.0199771 | − | 0.00217264i | ||||
\(859\) | 0.814911 | + | 15.0301i | 0.0278044 | + | 0.512822i | 0.978953 | + | 0.204087i | \(0.0654227\pi\) |
−0.951148 | + | 0.308734i | \(0.900095\pi\) | |||||||
\(860\) | −0.000942118 | 0.0173763i | −3.21260e−5 | 0.000592529i | ||||||
\(861\) | 1.68694 | + | 0.183466i | 0.0574909 | + | 0.00625251i | ||||
\(862\) | 12.7972 | − | 4.31189i | 0.435876 | − | 0.146864i | ||||
\(863\) | 8.63199 | − | 21.6647i | 0.293836 | − | 0.737474i | −0.705743 | − | 0.708468i | \(-0.749387\pi\) |
0.999579 | − | 0.0290055i | \(-0.00923405\pi\) | |||||||
\(864\) | 0.976621 | − | 0.214970i | 0.0332253 | − | 0.00731344i | ||||
\(865\) | 15.7416 | + | 29.6918i | 0.535231 | + | 1.00955i | ||||
\(866\) | 15.2192 | + | 7.04115i | 0.517169 | + | 0.239268i | ||||
\(867\) | −14.3147 | − | 4.82319i | −0.486153 | − | 0.163804i | ||||
\(868\) | −2.11140 | + | 2.48573i | −0.0716655 | + | 0.0843711i | ||||
\(869\) | −33.9157 | − | 20.4064i | −1.15051 | − | 0.692241i | ||||
\(870\) | −2.38514 | − | 8.59051i | −0.0808639 | − | 0.291245i | ||||
\(871\) | 0.453174 | + | 0.0997512i | 0.0153552 | + | 0.00337994i | ||||
\(872\) | 1.78744 | − | 2.63628i | 0.0605304 | − | 0.0892756i | ||||
\(873\) | −8.07859 | − | 7.65245i | −0.273419 | − | 0.258996i | ||||
\(874\) | −19.9003 | + | 11.9736i | −0.673139 | + | 0.405014i | ||||
\(875\) | 4.62756 | − | 28.2269i | 0.156440 | − | 0.954242i | ||||
\(876\) | 1.44453 | + | 2.13052i | 0.0488060 | + | 0.0719835i | ||||
\(877\) | 16.4104 | + | 41.1870i | 0.554139 | + | 1.39079i | 0.893046 | + | 0.449965i | \(0.148564\pi\) |
−0.338907 | + | 0.940820i | \(0.610057\pi\) | |||||||
\(878\) | 21.0861 | + | 24.8244i | 0.711620 | + | 0.837784i | ||||
\(879\) | 2.36696 | + | 14.4378i | 0.0798355 | + | 0.486975i | ||||
\(880\) | −3.43407 | + | 3.25292i | −0.115762 | + | 0.109656i | ||||
\(881\) | 1.63537 | − | 5.89008i | 0.0550971 | − | 0.198442i | −0.930879 | − | 0.365327i | \(-0.880957\pi\) |
0.985976 | + | 0.166885i | \(0.0533709\pi\) | |||||||
\(882\) | 0.672471 | − | 1.26841i | 0.0226433 | − | 0.0427097i | ||||
\(883\) | −9.32762 | + | 7.09067i | −0.313899 | + | 0.238620i | −0.750246 | − | 0.661158i | \(-0.770065\pi\) |
0.436347 | + | 0.899778i | \(0.356272\pi\) | |||||||
\(884\) | 0.328231 | 0.0110396 | ||||||||
\(885\) | 14.6638 | − | 1.28133i | 0.492918 | − | 0.0430715i | ||||
\(886\) | −28.9946 | −0.974092 | ||||||||
\(887\) | 21.1069 | − | 16.0450i | 0.708700 | − | 0.538740i | −0.187569 | − | 0.982252i | \(-0.560061\pi\) |
0.896269 | + | 0.443512i | \(0.146268\pi\) | |||||||
\(888\) | 0.0562398 | − | 0.106079i | 0.00188728 | − | 0.00355979i | ||||
\(889\) | −8.20030 | + | 29.5348i | −0.275029 | + | 0.990566i | ||||
\(890\) | 0.206524 | − | 0.195630i | 0.00692269 | − | 0.00655752i | ||||
\(891\) | −0.399332 | − | 2.43582i | −0.0133781 | − | 0.0816029i | ||||
\(892\) | −12.3418 | − | 14.5299i | −0.413233 | − | 0.486495i | ||||
\(893\) | −12.7865 | − | 32.0917i | −0.427884 | − | 1.07391i | ||||
\(894\) | −0.392105 | − | 0.578312i | −0.0131140 | − | 0.0193416i | ||||
\(895\) | −0.866881 | + | 5.28774i | −0.0289766 | + | 0.176750i | ||||
\(896\) | 2.02123 | − | 1.21613i | 0.0675245 | − | 0.0406282i | ||||
\(897\) | −1.05987 | − | 1.00396i | −0.0353880 | − | 0.0335213i | ||||
\(898\) | 4.65909 | − | 6.87165i | 0.155476 | − | 0.229310i | ||||
\(899\) | 6.28200 | + | 1.38277i | 0.209516 | + | 0.0461180i | ||||
\(900\) | −0.355186 | − | 1.27926i | −0.0118395 | − | 0.0426421i | ||||
\(901\) | 1.77408 | + | 1.06743i | 0.0591033 | + | 0.0355613i | ||||
\(902\) | −1.14951 | + | 1.35331i | −0.0382746 | + | 0.0450603i | ||||
\(903\) | −0.0202993 | − | 0.00683963i | −0.000675518 | − | 0.000227609i | ||||
\(904\) | 13.0161 | + | 6.02189i | 0.432909 | + | 0.200285i | ||||
\(905\) | 7.47596 | + | 14.1012i | 0.248509 | + | 0.468738i | ||||
\(906\) | 7.18499 | − | 1.58154i | 0.238705 | − | 0.0525430i | ||||
\(907\) | −13.2270 | + | 33.1973i | −0.439195 | + | 1.10230i | 0.528221 | + | 0.849107i | \(0.322859\pi\) |
−0.967416 | + | 0.253191i | \(0.918520\pi\) | |||||||
\(908\) | 12.9365 | − | 4.35880i | 0.429312 | − | 0.144652i | ||||
\(909\) | −4.77939 | − | 0.519790i | −0.158522 | − | 0.0172403i | ||||
\(910\) | 0.0583599 | − | 1.07638i | 0.00193461 | − | 0.0356818i | ||||
\(911\) | 1.37473 | + | 25.3553i | 0.0455467 | + | 0.840060i | 0.928667 | + | 0.370914i | \(0.120955\pi\) |
−0.883121 | + | 0.469146i | \(0.844562\pi\) | |||||||
\(912\) | −3.77143 | + | 0.410168i | −0.124884 | + | 0.0135820i | ||||
\(913\) | −30.4157 | + | 14.0718i | −1.00661 | + | 0.465708i | ||||
\(914\) | −19.7304 | − | 14.9986i | −0.652623 | − | 0.496111i | ||||
\(915\) | 6.71854 | + | 5.10730i | 0.222108 | + | 0.168842i | ||||
\(916\) | 0.242256 | − | 0.112079i | 0.00800436 | − | 0.00370321i | ||||
\(917\) | −17.4625 | + | 1.89916i | −0.576662 | + | 0.0627158i | ||||
\(918\) | −0.0745183 | − | 1.37441i | −0.00245947 | − | 0.0453623i | ||||
\(919\) | −0.206786 | + | 3.81394i | −0.00682124 | + | 0.125810i | 0.993139 | + | 0.116937i | \(0.0373074\pi\) |
−0.999961 | + | 0.00887383i | \(0.997175\pi\) | |||||||
\(920\) | 11.6630 | + | 1.26843i | 0.384518 | + | 0.0418189i | ||||
\(921\) | −16.0250 | + | 5.39946i | −0.528043 | + | 0.177918i | ||||
\(922\) | −2.86288 | + | 7.18528i | −0.0942839 | + | 0.236635i | ||||
\(923\) | 2.49897 | − | 0.550064i | 0.0822545 | − | 0.0181056i | ||||
\(924\) | −2.72732 | − | 5.14426i | −0.0897221 | − | 0.169234i | ||||
\(925\) | −0.144673 | − | 0.0669328i | −0.00475682 | − | 0.00220074i | ||||
\(926\) | 28.5938 | + | 9.63437i | 0.939650 | + | 0.316605i | ||||
\(927\) | 1.83689 | − | 2.16255i | 0.0603312 | − | 0.0710274i | ||||
\(928\) | −3.98640 | − | 2.39854i | −0.130860 | − | 0.0787359i | ||||
\(929\) | −12.1260 | − | 43.6740i | −0.397842 | − | 1.43290i | −0.843227 | − | 0.537557i | \(-0.819347\pi\) |
0.445385 | − | 0.895339i | \(-0.353067\pi\) | |||||||
\(930\) | −2.58760 | − | 0.569573i | −0.0848506 | − | 0.0186770i | ||||
\(931\) | −3.05644 | + | 4.50791i | −0.100171 | + | 0.147741i | ||||
\(932\) | 9.23823 | + | 8.75091i | 0.302608 | + | 0.286646i | ||||
\(933\) | −11.7752 | + | 7.08488i | −0.385502 | + | 0.231949i | ||||
\(934\) | 4.57702 | − | 27.9186i | 0.149765 | − | 0.913523i | ||||
\(935\) | 3.65373 | + | 5.38885i | 0.119490 | + | 0.176234i | ||||
\(936\) | −0.0882653 | − | 0.221529i | −0.00288504 | − | 0.00724090i | ||||
\(937\) | 26.1569 | + | 30.7943i | 0.854510 | + | 1.00601i | 0.999862 | + | 0.0166272i | \(0.00529285\pi\) |
−0.145351 | + | 0.989380i | \(0.546431\pi\) | |||||||
\(938\) | −0.742593 | − | 4.52962i | −0.0242465 | − | 0.147897i | ||||
\(939\) | −17.6384 | + | 16.7080i | −0.575607 | + | 0.545244i | ||||
\(940\) | −4.66842 | + | 16.8141i | −0.152267 | + | 0.548417i | ||||
\(941\) | −10.4747 | + | 19.7574i | −0.341466 | + | 0.644074i | −0.993464 | − | 0.114147i | \(-0.963586\pi\) |
0.651998 | + | 0.758221i | \(0.273931\pi\) | |||||||
\(942\) | 9.99032 | − | 7.59444i | 0.325502 | − | 0.247440i | ||||
\(943\) | 4.40392 | 0.143411 | ||||||||
\(944\) | 5.09549 | − | 5.74769i | 0.165844 | − | 0.187072i | ||||
\(945\) | −4.52042 | −0.147049 | ||||||||
\(946\) | 0.0178440 | − | 0.0135646i | 0.000580158 | − | 0.000441024i | ||||
\(947\) | 21.0876 | − | 39.7754i | 0.685254 | − | 1.29253i | −0.259816 | − | 0.965658i | \(-0.583662\pi\) |
0.945070 | − | 0.326868i | \(-0.105993\pi\) | |||||||
\(948\) | −4.29002 | + | 15.4513i | −0.139333 | + | 0.501833i | ||||
\(949\) | 0.445633 | − | 0.422126i | 0.0144659 | − | 0.0137028i | ||||
\(950\) | 0.814845 | + | 4.97034i | 0.0264371 | + | 0.161259i | ||||
\(951\) | −18.7615 | − | 22.0877i | −0.608382 | − | 0.716243i | ||||
\(952\) | −1.20178 | − | 3.01624i | −0.0389499 | − | 0.0977568i | ||||
\(953\) | 19.2330 | + | 28.3666i | 0.623018 | + | 0.918883i | 0.999973 | − | 0.00734839i | \(-0.00233909\pi\) |
−0.376955 | + | 0.926232i | \(0.623029\pi\) | |||||||
\(954\) | 0.243356 | − | 1.48441i | 0.00787894 | − | 0.0480594i | ||||
\(955\) | −12.9059 | + | 7.76520i | −0.417624 | + | 0.251276i | ||||
\(956\) | −13.9753 | − | 13.2382i | −0.451995 | − | 0.428152i | ||||
\(957\) | −6.44442 | + | 9.50481i | −0.208319 | + | 0.307247i | ||||
\(958\) | −1.16387 | − | 0.256186i | −0.0376028 | − | 0.00827700i | ||||
\(959\) | −10.7161 | − | 38.5959i | −0.346041 | − | 1.24633i | ||||
\(960\) | 1.64203 | + | 0.987974i | 0.0529962 | + | 0.0318867i | ||||
\(961\) | −18.8314 | + | 22.1701i | −0.607465 | + | 0.715164i | ||||
\(962\) | −0.0271328 | − | 0.00914210i | −0.000874796 | − | 0.000294753i | ||||
\(963\) | 3.50683 | + | 1.62243i | 0.113006 | + | 0.0522821i | ||||
\(964\) | 0.487250 | + | 0.919051i | 0.0156933 | + | 0.0296006i | ||||
\(965\) | 28.3434 | − | 6.23886i | 0.912408 | − | 0.200836i | ||||
\(966\) | −5.34520 | + | 13.4154i | −0.171979 | + | 0.431634i | ||||
\(967\) | −19.3323 | + | 6.51381i | −0.621684 | + | 0.209470i | −0.612478 | − | 0.790488i | \(-0.709827\pi\) |
−0.00920656 | + | 0.999958i | \(0.502931\pi\) | |||||||
\(968\) | −4.87857 | − | 0.530577i | −0.156803 | − | 0.0170534i | ||||
\(969\) | −0.282698 | + | 5.21405i | −0.00908156 | + | 0.167499i | ||||
\(970\) | −1.15447 | − | 21.2930i | −0.0370678 | − | 0.683676i | ||||
\(971\) | −33.6727 | + | 3.66212i | −1.08061 | + | 0.117523i | −0.631060 | − | 0.775734i | \(-0.717380\pi\) |
−0.449547 | + | 0.893257i | \(0.648414\pi\) | |||||||
\(972\) | −0.907575 | + | 0.419889i | −0.0291105 | + | 0.0134679i | ||||
\(973\) | −41.8407 | − | 31.8065i | −1.34135 | − | 1.01967i | ||||
\(974\) | 0.219733 | + | 0.167037i | 0.00704071 | + | 0.00535221i | ||||
\(975\) | −0.287339 | + | 0.132937i | −0.00920221 | + | 0.00425740i | ||||
\(976\) | 4.37811 | − | 0.476148i | 0.140140 | − | 0.0152411i | ||||
\(977\) | −2.58885 | − | 47.7485i | −0.0828245 | − | 1.52761i | −0.684585 | − | 0.728933i | \(-0.740017\pi\) |
0.601761 | − | 0.798676i | \(-0.294466\pi\) | |||||||
\(978\) | −1.21213 | + | 22.3564i | −0.0387595 | + | 0.714878i | ||||
\(979\) | −0.364263 | − | 0.0396160i | −0.0116419 | − | 0.00126613i | ||||
\(980\) | 2.60717 | − | 0.878459i | 0.0832831 | − | 0.0280613i | ||||
\(981\) | −1.17893 | + | 2.95889i | −0.0376403 | + | 0.0944701i | ||||
\(982\) | 31.4133 | − | 6.91459i | 1.00244 | − | 0.220653i | ||||
\(983\) | 6.84751 | + | 12.9158i | 0.218402 | + | 0.411949i | 0.968368 | − | 0.249527i | \(-0.0802751\pi\) |
−0.749966 | + | 0.661476i | \(0.769930\pi\) | |||||||
\(984\) | 0.652874 | + | 0.302052i | 0.0208129 | + | 0.00962906i | ||||
\(985\) | −31.6666 | − | 10.6697i | −1.00898 | − | 0.339965i | ||||
\(986\) | −4.14562 | + | 4.88061i | −0.132024 | + | 0.155430i | ||||
\(987\) | −18.4054 | − | 11.0741i | −0.585849 | − | 0.352494i | ||||
\(988\) | 0.242022 | + | 0.871685i | 0.00769975 | + | 0.0277320i | ||||
\(989\) | −0.0542929 | − | 0.0119508i | −0.00172641 | − | 0.000380012i | ||||
\(990\) | 2.65450 | − | 3.91510i | 0.0843656 | − | 0.124430i | ||||
\(991\) | 32.1851 | + | 30.4874i | 1.02239 | + | 0.968463i | 0.999511 | − | 0.0312754i | \(-0.00995690\pi\) |
0.0228829 | + | 0.999738i | \(0.492716\pi\) | |||||||
\(992\) | −1.18470 | + | 0.712809i | −0.0376142 | + | 0.0226317i | ||||
\(993\) | −3.19389 | + | 19.4819i | −0.101355 | + | 0.618238i | ||||
\(994\) | −14.2044 | − | 20.9499i | −0.450537 | − | 0.664492i | ||||
\(995\) | −6.43768 | − | 16.1574i | −0.204088 | − | 0.512223i | ||||
\(996\) | 8.78971 | + | 10.3480i | 0.278513 | + | 0.327890i | ||||
\(997\) | −1.31706 | − | 8.03371i | −0.0417117 | − | 0.254430i | 0.957736 | − | 0.287647i | \(-0.0928730\pi\) |
−0.999448 | + | 0.0332170i | \(0.989425\pi\) | |||||||
\(998\) | 28.0642 | − | 26.5838i | 0.888357 | − | 0.841497i | ||||
\(999\) | −0.0321210 | + | 0.115689i | −0.00101626 | + | 0.00366025i |
(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 | 354.2.e.b.85.1 | yes | 56 | |
59.25 | even | 29 | inner | 354.2.e.b.25.1 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.25.1 | ✓ | 56 | 59.25 | even | 29 | inner | |
354.2.e.b.85.1 | yes | 56 | 1.1 | even | 1 | trivial |