Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(6,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(80))
chi = DirichletCharacter(H, H._module([72, 75]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.t (of order \(80\), degree \(32\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{80})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{80}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 187.7 |
Dual form | 187.2.t.a.107.2 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{11}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18360 | − | 1.93146i | −0.836933 | − | 1.36575i | −0.929032 | − | 0.370000i | \(-0.879358\pi\) |
0.0920988 | − | 0.995750i | \(-0.470642\pi\) | |||||||
\(3\) | −0.181018 | − | 0.229620i | −0.104511 | − | 0.132571i | 0.730259 | − | 0.683170i | \(-0.239399\pi\) |
−0.834770 | + | 0.550599i | \(0.814399\pi\) | |||||||
\(4\) | −1.42165 | + | 2.79015i | −0.710827 | + | 1.39508i | ||||
\(5\) | 2.86138 | + | 2.64503i | 1.27965 | + | 1.18289i | 0.972932 | + | 0.231091i | \(0.0742295\pi\) |
0.306714 | + | 0.951802i | \(0.400770\pi\) | |||||||
\(6\) | −0.229250 | + | 0.621408i | −0.0935907 | + | 0.253689i | ||||
\(7\) | −0.444980 | − | 3.75961i | −0.168186 | − | 1.42100i | −0.777905 | − | 0.628382i | \(-0.783717\pi\) |
0.609718 | − | 0.792618i | \(-0.291283\pi\) | |||||||
\(8\) | 2.55516 | − | 0.201096i | 0.903387 | − | 0.0710981i | ||||
\(9\) | 0.680378 | − | 2.83398i | 0.226793 | − | 0.944660i | ||||
\(10\) | 1.72204 | − | 8.65730i | 0.544558 | − | 2.73768i | ||||
\(11\) | 1.76092 | − | 2.81054i | 0.530938 | − | 0.847411i | ||||
\(12\) | 0.898020 | − | 0.178627i | 0.259236 | − | 0.0515652i | ||||
\(13\) | 0.611789 | + | 3.86269i | 0.169680 | + | 1.07132i | 0.914658 | + | 0.404228i | \(0.132460\pi\) |
−0.744978 | + | 0.667089i | \(0.767540\pi\) | |||||||
\(14\) | −6.73487 | + | 5.30935i | −1.79997 | + | 1.41898i | ||||
\(15\) | 0.0893915 | − | 1.13583i | 0.0230808 | − | 0.293269i | ||||
\(16\) | 0.268546 | + | 0.369622i | 0.0671364 | + | 0.0924054i | ||||
\(17\) | −1.42390 | − | 3.86943i | −0.345346 | − | 0.938475i | ||||
\(18\) | −6.27902 | + | 2.04018i | −1.47998 | + | 0.480874i | ||||
\(19\) | −0.00986553 | + | 0.0115511i | −0.00226331 | + | 0.00264999i | −0.761536 | − | 0.648122i | \(-0.775555\pi\) |
0.759273 | + | 0.650772i | \(0.225555\pi\) | |||||||
\(20\) | −11.4479 | + | 4.22336i | −2.55983 | + | 0.944372i | ||||
\(21\) | −0.782734 | + | 0.782734i | −0.170806 | + | 0.170806i | ||||
\(22\) | −7.51269 | − | 0.0745929i | −1.60171 | − | 0.0159033i | ||||
\(23\) | −1.35061 | − | 2.02133i | −0.281621 | − | 0.421476i | 0.663510 | − | 0.748168i | \(-0.269066\pi\) |
−0.945131 | + | 0.326692i | \(0.894066\pi\) | |||||||
\(24\) | −0.508706 | − | 0.550315i | −0.103839 | − | 0.112333i | ||||
\(25\) | 0.799000 | + | 10.1523i | 0.159800 | + | 2.03045i | ||||
\(26\) | 6.73652 | − | 5.75353i | 1.32114 | − | 1.12836i | ||||
\(27\) | −1.57050 | + | 0.724010i | −0.302243 | + | 0.139336i | ||||
\(28\) | 11.1225 | + | 4.10331i | 2.10195 | + | 0.775452i | ||||
\(29\) | 5.52099 | − | 3.09191i | 1.02522 | − | 0.574152i | 0.117216 | − | 0.993107i | \(-0.462603\pi\) |
0.908007 | + | 0.418954i | \(0.137603\pi\) | |||||||
\(30\) | −2.29961 | + | 1.17171i | −0.419850 | + | 0.213924i | ||||
\(31\) | 0.777599 | + | 2.10777i | 0.139661 | + | 0.378568i | 0.988729 | − | 0.149716i | \(-0.0478359\pi\) |
−0.849068 | + | 0.528283i | \(0.822836\pi\) | |||||||
\(32\) | 2.35774 | − | 5.69210i | 0.416794 | − | 1.00623i | ||||
\(33\) | −0.964116 | + | 0.104415i | −0.167831 | + | 0.0181764i | ||||
\(34\) | −5.78834 | + | 7.33007i | −0.992692 | + | 1.25710i | ||||
\(35\) | 8.67103 | − | 11.9346i | 1.46567 | − | 2.01732i | ||||
\(36\) | 6.93997 | + | 5.92729i | 1.15666 | + | 0.987882i | ||||
\(37\) | 0.0691701 | + | 0.0195080i | 0.0113715 | + | 0.00320709i | 0.277121 | − | 0.960835i | \(-0.410620\pi\) |
−0.265750 | + | 0.964042i | \(0.585620\pi\) | |||||||
\(38\) | 0.0339873 | + | 0.00538306i | 0.00551347 | + | 0.000873247i | ||||
\(39\) | 0.776206 | − | 0.839695i | 0.124292 | − | 0.134459i | ||||
\(40\) | 7.84319 | + | 6.18307i | 1.24012 | + | 0.977630i | ||||
\(41\) | −5.53725 | + | 9.88747i | −0.864773 | + | 1.54416i | −0.0260131 | + | 0.999662i | \(0.508281\pi\) |
−0.838760 | + | 0.544502i | \(0.816719\pi\) | |||||||
\(42\) | 2.43827 | + | 0.585376i | 0.376233 | + | 0.0903254i | ||||
\(43\) | −5.26628 | + | 2.18136i | −0.803100 | + | 0.332655i | −0.746197 | − | 0.665725i | \(-0.768122\pi\) |
−0.0569025 | + | 0.998380i | \(0.518122\pi\) | |||||||
\(44\) | 5.33842 | + | 8.90886i | 0.804797 | + | 1.34306i | ||||
\(45\) | 9.44277 | − | 6.30946i | 1.40765 | − | 0.940559i | ||||
\(46\) | −2.30554 | + | 5.00110i | −0.339933 | + | 0.737372i | ||||
\(47\) | −1.31932 | − | 2.58931i | −0.192442 | − | 0.377689i | 0.774543 | − | 0.632521i | \(-0.217980\pi\) |
−0.966985 | + | 0.254832i | \(0.917980\pi\) | |||||||
\(48\) | 0.0362610 | − | 0.128572i | 0.00523382 | − | 0.0185577i | ||||
\(49\) | −7.13009 | + | 1.71178i | −1.01858 | + | 0.244541i | ||||
\(50\) | 18.6630 | − | 13.5595i | 2.63935 | − | 1.91760i | ||||
\(51\) | −0.630749 | + | 1.02739i | −0.0883225 | + | 0.143864i | ||||
\(52\) | −11.6472 | − | 3.78442i | −1.61518 | − | 0.524804i | ||||
\(53\) | 1.85578 | − | 1.13723i | 0.254911 | − | 0.156210i | −0.389172 | − | 0.921165i | \(-0.627239\pi\) |
0.644084 | + | 0.764955i | \(0.277239\pi\) | |||||||
\(54\) | 3.25725 | + | 2.17642i | 0.443255 | + | 0.296173i | ||||
\(55\) | 12.4726 | − | 3.38433i | 1.68181 | − | 0.456343i | ||||
\(56\) | −1.89304 | − | 9.51695i | −0.252968 | − | 1.27176i | ||||
\(57\) | 0.00443819 | 0.000174377i | 0.000587853 | 2.30968e-5i | ||||||
\(58\) | −12.5066 | − | 7.00401i | −1.64219 | − | 0.919671i | ||||
\(59\) | 7.85645 | + | 9.19872i | 1.02282 | + | 1.19757i | 0.980104 | + | 0.198485i | \(0.0636020\pi\) |
0.0427189 | + | 0.999087i | \(0.486398\pi\) | |||||||
\(60\) | 3.04205 | + | 1.86417i | 0.392726 | + | 0.240663i | ||||
\(61\) | 4.37006 | + | 9.47940i | 0.559529 | + | 1.21371i | 0.955375 | + | 0.295396i | \(0.0954515\pi\) |
−0.395846 | + | 0.918317i | \(0.629548\pi\) | |||||||
\(62\) | 3.15072 | − | 3.99667i | 0.400142 | − | 0.507578i | ||||
\(63\) | −10.9574 | − | 1.29690i | −1.38051 | − | 0.163394i | ||||
\(64\) | −12.8822 | + | 2.04034i | −1.61028 | + | 0.255043i | ||||
\(65\) | −8.46636 | + | 12.6708i | −1.05012 | + | 1.57162i | ||||
\(66\) | 1.34280 | + | 1.73857i | 0.165288 | + | 0.214003i | ||||
\(67\) | 4.59946i | 0.561913i | 0.959720 | + | 0.280957i | \(0.0906517\pi\) | ||||
−0.959720 | + | 0.280957i | \(0.909348\pi\) | |||||||
\(68\) | 12.8206 | + | 1.52810i | 1.55473 | + | 0.185309i | ||||
\(69\) | −0.219653 | + | 0.676024i | −0.0264432 | + | 0.0813837i | ||||
\(70\) | −33.3144 | − | 2.62190i | −3.98183 | − | 0.313377i | ||||
\(71\) | −0.175042 | − | 4.45511i | −0.0207737 | − | 0.528725i | −0.974011 | − | 0.226501i | \(-0.927271\pi\) |
0.953237 | − | 0.302223i | \(-0.0977288\pi\) | |||||||
\(72\) | 1.16858 | − | 7.37810i | 0.137718 | − | 0.869518i | ||||
\(73\) | 4.41927 | + | 7.89118i | 0.517237 | + | 0.923592i | 0.998884 | + | 0.0472274i | \(0.0150385\pi\) |
−0.481648 | + | 0.876365i | \(0.659961\pi\) | |||||||
\(74\) | −0.0441909 | − | 0.156689i | −0.00513709 | − | 0.0182147i | ||||
\(75\) | 2.18653 | − | 2.02121i | 0.252479 | − | 0.233389i | ||||
\(76\) | −0.0182038 | − | 0.0439479i | −0.00208812 | − | 0.00504117i | ||||
\(77\) | −11.3501 | − | 5.36975i | −1.29347 | − | 0.611940i | ||||
\(78\) | −2.54056 | − | 0.505348i | −0.287661 | − | 0.0572194i | ||||
\(79\) | −0.421642 | + | 10.7315i | −0.0474385 | + | 1.20739i | 0.772529 | + | 0.634979i | \(0.218991\pi\) |
−0.819967 | + | 0.572410i | \(0.806009\pi\) | |||||||
\(80\) | −0.209249 | + | 1.76794i | −0.0233948 | + | 0.197661i | ||||
\(81\) | −7.34000 | − | 3.73992i | −0.815555 | − | 0.415546i | ||||
\(82\) | 25.6512 | − | 1.00784i | 2.83270 | − | 0.111297i | ||||
\(83\) | −1.46410 | − | 6.09842i | −0.160706 | − | 0.669389i | −0.993306 | − | 0.115514i | \(-0.963149\pi\) |
0.832600 | − | 0.553875i | \(-0.186851\pi\) | |||||||
\(84\) | −1.07117 | − | 3.29672i | −0.116874 | − | 0.359702i | ||||
\(85\) | 6.16045 | − | 14.8382i | 0.668195 | − | 1.60942i | ||||
\(86\) | 10.4464 | + | 7.58975i | 1.12646 | + | 0.818424i | ||||
\(87\) | −1.70936 | − | 0.708041i | −0.183263 | − | 0.0759100i | ||||
\(88\) | 3.93426 | − | 7.53551i | 0.419393 | − | 0.803289i | ||||
\(89\) | −2.63979 | − | 2.63979i | −0.279817 | − | 0.279817i | 0.553219 | − | 0.833036i | \(-0.313399\pi\) |
−0.833036 | + | 0.553219i | \(0.813399\pi\) | |||||||
\(90\) | −23.3630 | − | 10.7705i | −2.46267 | − | 1.13531i | ||||
\(91\) | 14.2500 | − | 4.01891i | 1.49380 | − | 0.421296i | ||||
\(92\) | 7.55991 | − | 0.894774i | 0.788175 | − | 0.0932867i | ||||
\(93\) | 0.343228 | − | 0.560097i | 0.0355911 | − | 0.0580794i | ||||
\(94\) | −3.43960 | + | 5.61292i | −0.354768 | + | 0.578928i | ||||
\(95\) | −0.0587819 | + | 0.00695729i | −0.00603089 | + | 0.000713803i | ||||
\(96\) | −1.73381 | + | 0.488986i | −0.176957 | + | 0.0499070i | ||||
\(97\) | −9.23382 | − | 4.25685i | −0.937553 | − | 0.432218i | −0.110206 | − | 0.993909i | \(-0.535151\pi\) |
−0.827347 | + | 0.561691i | \(0.810151\pi\) | |||||||
\(98\) | 11.7454 | + | 11.7454i | 1.18647 | + | 1.18647i | ||||
\(99\) | −6.76693 | − | 6.90265i | −0.680102 | − | 0.693742i | ||||
\(100\) | −29.4622 | − | 12.2037i | −2.94622 | − | 1.22037i | ||||
\(101\) | −2.06013 | − | 1.49677i | −0.204991 | − | 0.148934i | 0.480554 | − | 0.876965i | \(-0.340436\pi\) |
−0.685544 | + | 0.728031i | \(0.740436\pi\) | |||||||
\(102\) | 2.73093 | + | 0.00224394i | 0.270402 | + | 0.000222183i | ||||
\(103\) | 3.83484 | + | 11.8024i | 0.377858 | + | 1.16293i | 0.941530 | + | 0.336928i | \(0.109388\pi\) |
−0.563673 | + | 0.825998i | \(0.690612\pi\) | |||||||
\(104\) | 2.33999 | + | 9.74677i | 0.229455 | + | 0.955750i | ||||
\(105\) | −4.31005 | + | 0.169342i | −0.420618 | + | 0.0165261i | ||||
\(106\) | −4.39302 | − | 2.23835i | −0.426688 | − | 0.217408i | ||||
\(107\) | −0.308445 | + | 2.60604i | −0.0298185 | + | 0.251935i | 0.970137 | + | 0.242556i | \(0.0779857\pi\) |
−0.999956 | + | 0.00937975i | \(0.997014\pi\) | |||||||
\(108\) | 0.212608 | − | 5.41122i | 0.0204582 | − | 0.520695i | ||||
\(109\) | −1.20013 | − | 0.238720i | −0.114951 | − | 0.0228653i | 0.137279 | − | 0.990532i | \(-0.456164\pi\) |
−0.252231 | + | 0.967667i | \(0.581164\pi\) | |||||||
\(110\) | −21.2993 | − | 20.0847i | −2.03081 | − | 1.91500i | ||||
\(111\) | −0.00804160 | − | 0.0194141i | −0.000763275 | − | 0.00184271i | ||||
\(112\) | 1.27014 | − | 1.17410i | 0.120017 | − | 0.110942i | ||||
\(113\) | −1.22578 | − | 4.34628i | −0.115312 | − | 0.408864i | 0.882838 | − | 0.469678i | \(-0.155630\pi\) |
−0.998149 | + | 0.0608147i | \(0.980630\pi\) | |||||||
\(114\) | −0.00491625 | − | 0.00877860i | −0.000460449 | − | 0.000822191i | ||||
\(115\) | 1.48187 | − | 9.35618i | 0.138185 | − | 0.872468i | ||||
\(116\) | 0.777945 | + | 19.8000i | 0.0722304 | + | 1.83839i | ||||
\(117\) | 11.3630 | + | 0.894289i | 1.05051 | + | 0.0826771i | ||||
\(118\) | 8.46808 | − | 26.0621i | 0.779550 | − | 2.39921i | ||||
\(119\) | −13.9140 | + | 7.07512i | −1.27549 | + | 0.648576i | ||||
\(120\) | − | 2.92020i | − | 0.266577i | ||||||
\(121\) | −4.79830 | − | 9.89830i | −0.436209 | − | 0.899845i | ||||
\(122\) | 13.1367 | − | 19.6604i | 1.18934 | − | 1.77997i | ||||
\(123\) | 3.27270 | − | 0.518345i | 0.295090 | − | 0.0467376i | ||||
\(124\) | −6.98649 | − | 0.826905i | −0.627405 | − | 0.0742583i | ||||
\(125\) | −12.5049 | + | 15.8624i | −1.11847 | + | 1.41877i | ||||
\(126\) | 10.4643 | + | 22.6989i | 0.932235 | + | 2.02217i | ||||
\(127\) | −4.24096 | − | 2.59886i | −0.376325 | − | 0.230612i | 0.321455 | − | 0.946925i | \(-0.395828\pi\) |
−0.697779 | + | 0.716313i | \(0.745828\pi\) | |||||||
\(128\) | 11.1856 | + | 13.0967i | 0.988679 | + | 1.15759i | ||||
\(129\) | 1.45418 | + | 0.814377i | 0.128033 | + | 0.0717019i | ||||
\(130\) | 34.4940 | + | 1.35527i | 3.02532 | + | 0.118865i | ||||
\(131\) | 1.20750 | + | 6.07051i | 0.105500 | + | 0.530383i | 0.997003 | + | 0.0773680i | \(0.0246516\pi\) |
−0.891503 | + | 0.453015i | \(0.850348\pi\) | |||||||
\(132\) | 1.07930 | − | 2.83847i | 0.0939413 | − | 0.247057i | ||||
\(133\) | 0.0478175 | + | 0.0319506i | 0.00414630 | + | 0.00277047i | ||||
\(134\) | 8.88368 | − | 5.44393i | 0.767433 | − | 0.470284i | ||||
\(135\) | −6.40882 | − | 2.08235i | −0.551583 | − | 0.179220i | ||||
\(136\) | −4.41642 | − | 9.60070i | −0.378705 | − | 0.823253i | ||||
\(137\) | −5.14801 | + | 3.74025i | −0.439824 | + | 0.319551i | −0.785565 | − | 0.618779i | \(-0.787628\pi\) |
0.345741 | + | 0.938330i | \(0.387628\pi\) | |||||||
\(138\) | 1.56570 | − | 0.375890i | 0.133281 | − | 0.0319979i | ||||
\(139\) | −2.02602 | + | 7.18371i | −0.171845 | + | 0.609315i | 0.827042 | + | 0.562140i | \(0.190022\pi\) |
−0.998887 | + | 0.0471747i | \(0.984978\pi\) | |||||||
\(140\) | 20.9723 | + | 41.1604i | 1.77248 | + | 3.47869i | ||||
\(141\) | −0.355737 | + | 0.771652i | −0.0299584 | + | 0.0649849i | ||||
\(142\) | −8.39770 | + | 5.61117i | −0.704720 | + | 0.470879i | ||||
\(143\) | 11.9336 | + | 5.08243i | 0.997934 | + | 0.425014i | ||||
\(144\) | 1.23021 | − | 0.509571i | 0.102518 | − | 0.0424642i | ||||
\(145\) | 23.9758 | + | 5.75608i | 1.99108 | + | 0.478017i | ||||
\(146\) | 10.0109 | − | 17.8757i | 0.828504 | − | 1.47940i | ||||
\(147\) | 1.68373 | + | 1.32735i | 0.138872 | + | 0.109478i | ||||
\(148\) | −0.152766 | + | 0.165261i | −0.0125573 | + | 0.0135844i | ||||
\(149\) | −2.25472 | − | 0.357113i | −0.184714 | − | 0.0292558i | 0.0633920 | − | 0.997989i | \(-0.479808\pi\) |
−0.248106 | + | 0.968733i | \(0.579808\pi\) | |||||||
\(150\) | −6.49186 | − | 1.83089i | −0.530058 | − | 0.149492i | ||||
\(151\) | −5.21811 | − | 4.45669i | −0.424644 | − | 0.362680i | 0.411296 | − | 0.911502i | \(-0.365076\pi\) |
−0.835939 | + | 0.548822i | \(0.815076\pi\) | |||||||
\(152\) | −0.0228852 | + | 0.0314988i | −0.00185623 | + | 0.00255489i | ||||
\(153\) | −11.9347 | + | 1.40262i | −0.964862 | + | 0.113395i | ||||
\(154\) | 3.06255 | + | 28.2780i | 0.246788 | + | 2.27871i | ||||
\(155\) | −3.35012 | + | 8.08791i | −0.269088 | + | 0.649636i | ||||
\(156\) | 1.23938 | + | 3.35949i | 0.0992298 | + | 0.268974i | ||||
\(157\) | −4.08568 | + | 2.08176i | −0.326073 | + | 0.166142i | −0.609362 | − | 0.792892i | \(-0.708574\pi\) |
0.283289 | + | 0.959035i | \(0.408574\pi\) | |||||||
\(158\) | 21.2266 | − | 11.8875i | 1.68870 | − | 0.945715i | ||||
\(159\) | −0.597060 | − | 0.220267i | −0.0473499 | − | 0.0174683i | ||||
\(160\) | 21.8022 | − | 10.0509i | 1.72361 | − | 0.794596i | ||||
\(161\) | −6.99842 | + | 5.97721i | −0.551553 | + | 0.471071i | ||||
\(162\) | 1.46413 | + | 18.6035i | 0.115033 | + | 1.46163i | ||||
\(163\) | −2.76391 | − | 2.98999i | −0.216487 | − | 0.234194i | 0.616683 | − | 0.787212i | \(-0.288476\pi\) |
−0.833169 | + | 0.553018i | \(0.813476\pi\) | |||||||
\(164\) | −19.7155 | − | 29.5063i | −1.53952 | − | 2.30406i | ||||
\(165\) | −3.03488 | − | 2.25134i | −0.236265 | − | 0.175267i | ||||
\(166\) | −10.0460 | + | 10.0460i | −0.779718 | + | 0.779718i | ||||
\(167\) | −4.25495 | + | 1.56973i | −0.329258 | + | 0.121470i | −0.505376 | − | 0.862900i | \(-0.668646\pi\) |
0.176118 | + | 0.984369i | \(0.443646\pi\) | |||||||
\(168\) | −1.84261 | + | 2.15742i | −0.142160 | + | 0.166448i | ||||
\(169\) | −2.18233 | + | 0.709081i | −0.167871 | + | 0.0545447i | ||||
\(170\) | −35.9509 | + | 5.66378i | −2.75731 | + | 0.434392i | ||||
\(171\) | 0.0260232 | + | 0.0358178i | 0.00199004 | + | 0.00273906i | ||||
\(172\) | 1.40049 | − | 17.7949i | 0.106786 | − | 1.35684i | ||||
\(173\) | 2.91301 | − | 2.29643i | 0.221472 | − | 0.174595i | −0.502172 | − | 0.864768i | \(-0.667466\pi\) |
0.723644 | + | 0.690173i | \(0.242466\pi\) | |||||||
\(174\) | 0.655650 | + | 4.13961i | 0.0497047 | + | 0.313823i | ||||
\(175\) | 37.8130 | − | 7.52148i | 2.85839 | − | 0.568570i | ||||
\(176\) | 1.51173 | − | 0.103884i | 0.113951 | − | 0.00783058i | ||||
\(177\) | 0.690054 | − | 3.46913i | 0.0518676 | − | 0.260756i | ||||
\(178\) | −1.97419 | + | 8.22310i | −0.147972 | + | 0.616348i | ||||
\(179\) | −3.08212 | + | 0.242568i | −0.230369 | + | 0.0181304i | −0.193118 | − | 0.981176i | \(-0.561860\pi\) |
−0.0372507 | + | 0.999306i | \(0.511860\pi\) | |||||||
\(180\) | 4.18000 | + | 35.3166i | 0.311559 | + | 2.63235i | ||||
\(181\) | 0.591534 | − | 1.60342i | 0.0439684 | − | 0.119181i | −0.914313 | − | 0.405009i | \(-0.867268\pi\) |
0.958281 | + | 0.285827i | \(0.0922684\pi\) | |||||||
\(182\) | −24.6287 | − | 22.7665i | −1.82560 | − | 1.68757i | ||||
\(183\) | 1.38560 | − | 2.71940i | 0.102427 | − | 0.201024i | ||||
\(184\) | −3.85751 | − | 4.89323i | −0.284379 | − | 0.360733i | ||||
\(185\) | 0.146322 | + | 0.238777i | 0.0107578 | + | 0.0175552i | ||||
\(186\) | −1.48805 | −0.109109 | ||||||||
\(187\) | −13.3826 | − | 2.81185i | −0.978631 | − | 0.205623i | ||||
\(188\) | 9.10016 | 0.663698 | ||||||||
\(189\) | 3.42084 | + | 5.58230i | 0.248829 | + | 0.406053i | ||||
\(190\) | 0.0830121 | + | 0.105300i | 0.00602233 | + | 0.00763929i | ||||
\(191\) | 9.97420 | − | 19.5755i | 0.721708 | − | 1.41643i | −0.179815 | − | 0.983700i | \(-0.557550\pi\) |
0.901523 | − | 0.432731i | \(-0.142450\pi\) | |||||||
\(192\) | 2.80041 | + | 2.58867i | 0.202102 | + | 0.186822i | ||||
\(193\) | 8.11918 | − | 22.0080i | 0.584431 | − | 1.58417i | −0.210580 | − | 0.977577i | \(-0.567535\pi\) |
0.795012 | − | 0.606594i | \(-0.207465\pi\) | |||||||
\(194\) | 2.70722 | + | 22.8732i | 0.194367 | + | 1.64220i | ||||
\(195\) | 4.44203 | − | 0.349596i | 0.318101 | − | 0.0250351i | ||||
\(196\) | 5.36038 | − | 22.3276i | 0.382885 | − | 1.59483i | ||||
\(197\) | −1.34526 | + | 6.76305i | −0.0958455 | + | 0.481848i | 0.902811 | + | 0.430037i | \(0.141499\pi\) |
−0.998657 | + | 0.0518110i | \(0.983501\pi\) | |||||||
\(198\) | −5.32286 | + | 21.2401i | −0.378279 | + | 1.50946i | ||||
\(199\) | 16.6438 | − | 3.31067i | 1.17985 | − | 0.234687i | 0.434070 | − | 0.900879i | \(-0.357077\pi\) |
0.745780 | + | 0.666192i | \(0.232077\pi\) | |||||||
\(200\) | 4.08315 | + | 25.7800i | 0.288722 | + | 1.82292i | ||||
\(201\) | 1.05613 | − | 0.832584i | 0.0744935 | − | 0.0587260i | ||||
\(202\) | −0.452586 | + | 5.75065i | −0.0318438 | + | 0.404614i | ||||
\(203\) | −14.0811 | − | 19.3810i | −0.988299 | − | 1.36028i | ||||
\(204\) | −1.96987 | − | 3.22048i | −0.137919 | − | 0.225479i | ||||
\(205\) | −41.9968 | + | 13.6456i | −2.93318 | + | 0.953049i | ||||
\(206\) | 18.2570 | − | 21.3762i | 1.27203 | − | 1.48935i | ||||
\(207\) | −6.64733 | + | 2.45233i | −0.462021 | + | 0.170449i | ||||
\(208\) | −1.26344 | + | 1.26344i | −0.0876037 | + | 0.0876037i | ||||
\(209\) | 0.0150923 | + | 0.0480680i | 0.00104396 | + | 0.00332493i | ||||
\(210\) | 5.42846 | + | 8.12426i | 0.374599 | + | 0.560627i | ||||
\(211\) | −14.1913 | − | 15.3521i | −0.976969 | − | 1.05688i | −0.998368 | − | 0.0571086i | \(-0.981812\pi\) |
0.0213985 | − | 0.999771i | \(-0.493188\pi\) | |||||||
\(212\) | 0.534751 | + | 6.79466i | 0.0367269 | + | 0.466659i | ||||
\(213\) | −0.991298 | + | 0.846649i | −0.0679226 | + | 0.0580114i | ||||
\(214\) | 5.39855 | − | 2.48876i | 0.369037 | − | 0.170128i | ||||
\(215\) | −20.8386 | − | 7.68775i | −1.42118 | − | 0.524300i | ||||
\(216\) | −3.86729 | + | 2.16579i | −0.263136 | + | 0.147363i | ||||
\(217\) | 7.57840 | − | 3.86139i | 0.514455 | − | 0.262128i | ||||
\(218\) | 0.959395 | + | 2.60055i | 0.0649784 | + | 0.176132i | ||||
\(219\) | 1.01201 | − | 2.44320i | 0.0683850 | − | 0.165096i | ||||
\(220\) | −8.28896 | + | 39.6119i | −0.558842 | + | 2.67063i | ||||
\(221\) | 14.0753 | − | 7.86735i | 0.946806 | − | 0.529215i | ||||
\(222\) | −0.0279796 | + | 0.0385107i | −0.00187787 | + | 0.00258467i | ||||
\(223\) | −0.0856274 | − | 0.0731327i | −0.00573403 | − | 0.00489733i | 0.646576 | − | 0.762849i | \(-0.276200\pi\) |
−0.652310 | + | 0.757952i | \(0.726200\pi\) | |||||||
\(224\) | −22.4492 | − | 6.33134i | −1.49995 | − | 0.423030i | ||||
\(225\) | 29.3149 | + | 4.64302i | 1.95433 | + | 0.309535i | ||||
\(226\) | −6.94385 | + | 7.51181i | −0.461898 | + | 0.499678i | ||||
\(227\) | 21.9994 | + | 17.3429i | 1.46015 | + | 1.15109i | 0.958165 | + | 0.286215i | \(0.0923972\pi\) |
0.501986 | + | 0.864876i | \(0.332603\pi\) | |||||||
\(228\) | −0.00679611 | + | 0.0121353i | −0.000450083 | + | 0.000803682i | ||||
\(229\) | −11.7792 | − | 2.82794i | −0.778391 | − | 0.186875i | −0.175265 | − | 0.984521i | \(-0.556078\pi\) |
−0.603126 | + | 0.797646i | \(0.706078\pi\) | |||||||
\(230\) | −19.8251 | + | 8.21181i | −1.30723 | + | 0.541470i | ||||
\(231\) | 0.821573 | + | 3.57824i | 0.0540555 | + | 0.235431i | ||||
\(232\) | 13.4853 | − | 9.01058i | 0.885352 | − | 0.591573i | ||||
\(233\) | −2.13062 | + | 4.62167i | −0.139582 | + | 0.302776i | −0.965227 | − | 0.261414i | \(-0.915811\pi\) |
0.825645 | + | 0.564190i | \(0.190811\pi\) | |||||||
\(234\) | −11.7220 | − | 23.0057i | −0.766291 | − | 1.50393i | ||||
\(235\) | 3.07372 | − | 10.8986i | 0.200508 | − | 0.710947i | ||||
\(236\) | −36.8350 | + | 8.84330i | −2.39775 | + | 0.575650i | ||||
\(237\) | 2.54050 | − | 1.84578i | 0.165023 | − | 0.119896i | ||||
\(238\) | 30.1339 | + | 18.5002i | 1.95329 | + | 1.19919i | ||||
\(239\) | −9.92530 | − | 3.22493i | −0.642014 | − | 0.208603i | −0.0301246 | − | 0.999546i | \(-0.509590\pi\) |
−0.611890 | + | 0.790943i | \(0.709590\pi\) | |||||||
\(240\) | 0.443832 | − | 0.271981i | 0.0286492 | − | 0.0175563i | ||||
\(241\) | 17.8263 | + | 11.9111i | 1.14829 | + | 0.767265i | 0.975998 | − | 0.217781i | \(-0.0698818\pi\) |
0.172295 | + | 0.985045i | \(0.444882\pi\) | |||||||
\(242\) | −13.4389 | + | 20.9834i | −0.863886 | + | 1.34886i | ||||
\(243\) | 1.48205 | + | 7.45077i | 0.0950736 | + | 0.477967i | ||||
\(244\) | −32.6617 | − | 1.28328i | −2.09095 | − | 0.0821536i | ||||
\(245\) | −24.9296 | − | 13.9612i | −1.59269 | − | 0.891951i | ||||
\(246\) | −4.87474 | − | 5.70759i | −0.310802 | − | 0.363903i | ||||
\(247\) | −0.0506537 | − | 0.0310406i | −0.00322302 | − | 0.00197507i | ||||
\(248\) | 2.41076 | + | 5.22934i | 0.153083 | + | 0.332063i | ||||
\(249\) | −1.13529 | + | 1.44011i | −0.0719462 | + | 0.0912633i | ||||
\(250\) | 45.4384 | + | 5.37799i | 2.87378 | + | 0.340134i | ||||
\(251\) | 4.30107 | − | 0.681222i | 0.271481 | − | 0.0429984i | −0.0192096 | − | 0.999815i | \(-0.506115\pi\) |
0.290691 | + | 0.956817i | \(0.406115\pi\) | |||||||
\(252\) | 19.1962 | − | 28.7291i | 1.20925 | − | 1.80976i | ||||
\(253\) | −8.05935 | + | 0.236540i | −0.506687 | + | 0.0148711i | ||||
\(254\) | 11.2673i | 0.706972i | ||||||||
\(255\) | −4.52229 | + | 1.27141i | −0.283197 | + | 0.0796186i | ||||
\(256\) | 3.99555 | − | 12.2970i | 0.249722 | − | 0.768565i | ||||
\(257\) | 19.6969 | + | 1.55018i | 1.22866 | + | 0.0966975i | 0.676121 | − | 0.736791i | \(-0.263660\pi\) |
0.552537 | + | 0.833488i | \(0.313660\pi\) | |||||||
\(258\) | −0.148225 | − | 3.77258i | −0.00922810 | − | 0.234871i | ||||
\(259\) | 0.0425632 | − | 0.268733i | 0.00264475 | − | 0.0166983i | ||||
\(260\) | −23.3172 | − | 41.6359i | −1.44607 | − | 2.58215i | ||||
\(261\) | −5.00603 | − | 17.7500i | −0.309866 | − | 1.09870i | ||||
\(262\) | 10.2958 | − | 9.51731i | 0.636075 | − | 0.587981i | ||||
\(263\) | −1.84223 | − | 4.44753i | −0.113597 | − | 0.274247i | 0.856849 | − | 0.515568i | \(-0.172419\pi\) |
−0.970445 | + | 0.241322i | \(0.922419\pi\) | |||||||
\(264\) | −2.44248 | + | 0.460678i | −0.150324 | + | 0.0283528i | ||||
\(265\) | 8.31809 | + | 1.65457i | 0.510976 | + | 0.101639i | ||||
\(266\) | 0.00511457 | − | 0.130174i | 0.000313594 | − | 0.00798150i | ||||
\(267\) | −0.128299 | + | 1.08400i | −0.00785180 | + | 0.0663395i | ||||
\(268\) | −12.8332 | − | 6.53883i | −0.783911 | − | 0.399423i | ||||
\(269\) | 18.2427 | − | 0.716759i | 1.11228 | − | 0.0437016i | 0.523523 | − | 0.852012i | \(-0.324617\pi\) |
0.588757 | + | 0.808310i | \(0.299617\pi\) | |||||||
\(270\) | 3.56350 | + | 14.8431i | 0.216868 | + | 0.903320i | ||||
\(271\) | −9.22054 | − | 28.3779i | −0.560108 | − | 1.72383i | −0.682058 | − | 0.731298i | \(-0.738915\pi\) |
0.121950 | − | 0.992536i | \(-0.461085\pi\) | |||||||
\(272\) | 1.04784 | − | 1.56542i | 0.0635349 | − | 0.0949177i | ||||
\(273\) | −3.50232 | − | 2.54459i | −0.211970 | − | 0.154005i | ||||
\(274\) | 13.3173 | + | 5.51623i | 0.804530 | + | 0.333247i | ||||
\(275\) | 29.9403 | + | 15.6317i | 1.80547 | + | 0.942628i | ||||
\(276\) | −1.57394 | − | 1.57394i | −0.0947399 | − | 0.0947399i | ||||
\(277\) | 6.24058 | + | 2.87694i | 0.374960 | + | 0.172859i | 0.597121 | − | 0.802151i | \(-0.296311\pi\) |
−0.222161 | + | 0.975010i | \(0.571311\pi\) | |||||||
\(278\) | 16.2731 | − | 4.58948i | 0.975994 | − | 0.275259i | ||||
\(279\) | 6.50245 | − | 0.769616i | 0.389292 | − | 0.0460757i | ||||
\(280\) | 19.7559 | − | 32.2387i | 1.18064 | − | 1.92663i | ||||
\(281\) | −1.35317 | + | 2.20818i | −0.0807236 | + | 0.131729i | −0.890454 | − | 0.455073i | \(-0.849613\pi\) |
0.809731 | + | 0.586802i | \(0.199613\pi\) | |||||||
\(282\) | 1.91147 | − | 0.226237i | 0.113826 | − | 0.0134722i | ||||
\(283\) | −11.8560 | + | 3.34372i | −0.704763 | + | 0.198764i | −0.604974 | − | 0.796245i | \(-0.706817\pi\) |
−0.0997887 | + | 0.995009i | \(0.531817\pi\) | |||||||
\(284\) | 12.6793 | + | 5.84523i | 0.752377 | + | 0.346851i | ||||
\(285\) | 0.0122381 | + | 0.0122381i | 0.000724923 | + | 0.000724923i | ||||
\(286\) | −4.30806 | − | 29.0648i | −0.254741 | − | 1.71864i | ||||
\(287\) | 39.6370 | + | 16.4182i | 2.33970 | + | 0.969135i | ||||
\(288\) | −14.5271 | − | 10.5546i | −0.856019 | − | 0.621935i | ||||
\(289\) | −12.9450 | + | 11.0194i | −0.761472 | + | 0.648198i | ||||
\(290\) | −17.2602 | − | 53.1213i | −1.01355 | − | 3.11939i | ||||
\(291\) | 0.694029 | + | 2.89084i | 0.0406847 | + | 0.169464i | ||||
\(292\) | −28.3002 | + | 1.11192i | −1.65615 | + | 0.0650702i | ||||
\(293\) | −18.9532 | − | 9.65712i | −1.10726 | − | 0.564175i | −0.197912 | − | 0.980220i | \(-0.563416\pi\) |
−0.909344 | + | 0.416045i | \(0.863416\pi\) | |||||||
\(294\) | 0.570854 | − | 4.82312i | 0.0332929 | − | 0.281290i | ||||
\(295\) | −1.85062 | + | 47.1015i | −0.107748 | + | 2.74236i | ||||
\(296\) | 0.180664 | + | 0.0359363i | 0.0105009 | + | 0.00208875i | ||||
\(297\) | −0.730667 | + | 5.68888i | −0.0423976 | + | 0.330102i | ||||
\(298\) | 1.97894 | + | 4.77759i | 0.114637 | + | 0.276758i | ||||
\(299\) | 6.98147 | − | 6.45360i | 0.403749 | − | 0.373222i | ||||
\(300\) | 2.53099 | + | 8.97420i | 0.146127 | + | 0.518126i | ||||
\(301\) | 10.5445 | + | 18.8285i | 0.607773 | + | 1.08526i | ||||
\(302\) | −2.43176 | + | 15.3535i | −0.139932 | + | 0.883496i | ||||
\(303\) | 0.0292315 | + | 0.743990i | 0.00167930 | + | 0.0427411i | ||||
\(304\) | −0.00691887 | 0.000544527i | −0.000396824 | 3.12307e-5i | ||||||
\(305\) | −12.5689 | + | 38.6831i | −0.719693 | + | 2.21499i | ||||
\(306\) | 16.8350 | + | 21.3912i | 0.962394 | + | 1.22286i | ||||
\(307\) | − | 20.3393i | − | 1.16083i | −0.814322 | − | 0.580413i | \(-0.802891\pi\) | ||
0.814322 | − | 0.580413i | \(-0.197109\pi\) | |||||||
\(308\) | 31.1184 | − | 24.0346i | 1.77313 | − | 1.36950i | ||||
\(309\) | 2.01590 | − | 3.01700i | 0.114680 | − | 0.171631i | ||||
\(310\) | 19.5867 | − | 3.10223i | 1.11245 | − | 0.176195i | ||||
\(311\) | −31.9249 | − | 3.77857i | −1.81030 | − | 0.214263i | −0.856797 | − | 0.515654i | \(-0.827549\pi\) |
−0.953501 | + | 0.301391i | \(0.902549\pi\) | |||||||
\(312\) | 1.81447 | − | 2.30165i | 0.102724 | − | 0.130305i | ||||
\(313\) | 1.23399 | + | 2.67672i | 0.0697490 | + | 0.151297i | 0.939861 | − | 0.341556i | \(-0.110954\pi\) |
−0.870112 | + | 0.492853i | \(0.835954\pi\) | |||||||
\(314\) | 8.85666 | + | 5.42737i | 0.499810 | + | 0.306284i | ||||
\(315\) | −27.9230 | − | 32.6936i | −1.57328 | − | 1.84208i | ||||
\(316\) | −29.3431 | − | 16.4329i | −1.65068 | − | 0.924425i | ||||
\(317\) | 34.7851 | + | 1.36671i | 1.95372 | + | 0.0767620i | 0.985122 | − | 0.171855i | \(-0.0549761\pi\) |
0.968602 | + | 0.248617i | \(0.0799761\pi\) | |||||||
\(318\) | 0.281244 | + | 1.41391i | 0.0157714 | + | 0.0792880i | ||||
\(319\) | 1.03211 | − | 20.9616i | 0.0577872 | − | 1.17362i | ||||
\(320\) | −42.2576 | − | 28.2356i | −2.36227 | − | 1.57842i | ||||
\(321\) | 0.654233 | − | 0.400915i | 0.0365158 | − | 0.0223769i | ||||
\(322\) | 19.8281 | + | 6.44254i | 1.10498 | + | 0.359029i | ||||
\(323\) | 0.0587435 | + | 0.0217265i | 0.00326858 | + | 0.00120889i | ||||
\(324\) | 20.8699 | − | 15.1628i | 1.15944 | − | 0.842380i | ||||
\(325\) | −38.7262 | + | 9.29733i | −2.14814 | + | 0.515723i | ||||
\(326\) | −2.50367 | + | 8.87735i | −0.138666 | + | 0.491671i | ||||
\(327\) | 0.162430 | + | 0.318786i | 0.00898238 | + | 0.0176289i | ||||
\(328\) | −12.1603 | + | 26.3776i | −0.671438 | + | 1.45646i | ||||
\(329\) | −9.14772 | + | 6.11231i | −0.504330 | + | 0.336982i | ||||
\(330\) | −0.756295 | + | 8.52645i | −0.0416327 | + | 0.469366i | ||||
\(331\) | 4.32121 | − | 1.78990i | 0.237515 | − | 0.0983819i | −0.260751 | − | 0.965406i | \(-0.583970\pi\) |
0.498266 | + | 0.867024i | \(0.333970\pi\) | |||||||
\(332\) | 19.0970 | + | 4.58478i | 1.04808 | + | 0.251622i | ||||
\(333\) | 0.102347 | − | 0.182754i | 0.00560858 | − | 0.0100148i | ||||
\(334\) | 8.06804 | + | 6.36033i | 0.441464 | + | 0.348022i | ||||
\(335\) | −12.1657 | + | 13.1608i | −0.664683 | + | 0.719050i | ||||
\(336\) | −0.499515 | − | 0.0791154i | −0.0272508 | − | 0.00431610i | ||||
\(337\) | 2.18434 | + | 0.616049i | 0.118989 | + | 0.0335583i | 0.330416 | − | 0.943835i | \(-0.392811\pi\) |
−0.211427 | + | 0.977394i | \(0.567811\pi\) | |||||||
\(338\) | 3.95257 | + | 3.37581i | 0.214991 | + | 0.183620i | ||||
\(339\) | −0.776106 | + | 1.06822i | −0.0421523 | + | 0.0580177i | ||||
\(340\) | 32.6427 | + | 38.2833i | 1.77030 | + | 2.07620i | ||||
\(341\) | 7.29328 | + | 1.52615i | 0.394953 | + | 0.0826458i | ||||
\(342\) | 0.0383797 | − | 0.0926568i | 0.00207534 | − | 0.00501030i | ||||
\(343\) | 0.435949 | + | 1.18169i | 0.0235390 | + | 0.0638053i | ||||
\(344\) | −13.0175 | + | 6.63277i | −0.701859 | + | 0.357615i | ||||
\(345\) | −2.41661 | + | 1.35337i | −0.130106 | + | 0.0728629i | ||||
\(346\) | −7.88332 | − | 2.90831i | −0.423810 | − | 0.156352i | ||||
\(347\) | −23.6065 | + | 10.8827i | −1.26726 | + | 0.584215i | −0.933546 | − | 0.358458i | \(-0.883303\pi\) |
−0.333716 | + | 0.942674i | \(0.608303\pi\) | |||||||
\(348\) | 4.40566 | − | 3.76279i | 0.236168 | − | 0.201707i | ||||
\(349\) | 1.39377 | + | 17.7096i | 0.0746069 | + | 0.947971i | 0.914334 | + | 0.404962i | \(0.132715\pi\) |
−0.839727 | + | 0.543009i | \(0.817285\pi\) | |||||||
\(350\) | −59.2830 | − | 64.1320i | −3.16881 | − | 3.42800i | ||||
\(351\) | −3.75744 | − | 5.62341i | −0.200557 | − | 0.300155i | ||||
\(352\) | −11.8461 | − | 16.6499i | −0.631398 | − | 0.887442i | ||||
\(353\) | 1.58531 | − | 1.58531i | 0.0843778 | − | 0.0843778i | −0.663658 | − | 0.748036i | \(-0.730997\pi\) |
0.748036 | + | 0.663658i | \(0.230997\pi\) | |||||||
\(354\) | −7.51725 | + | 2.77326i | −0.399537 | + | 0.147397i | ||||
\(355\) | 11.2830 | − | 13.2107i | 0.598842 | − | 0.701154i | ||||
\(356\) | 11.1183 | − | 3.61254i | 0.589267 | − | 0.191464i | ||||
\(357\) | 4.14327 | + | 1.91420i | 0.219285 | + | 0.101310i | ||||
\(358\) | 4.11652 | + | 5.66590i | 0.217565 | + | 0.299452i | ||||
\(359\) | −0.403749 | + | 5.13012i | −0.0213091 | + | 0.270757i | 0.977028 | + | 0.213111i | \(0.0683596\pi\) |
−0.998337 | + | 0.0576464i | \(0.981640\pi\) | |||||||
\(360\) | 22.8590 | − | 18.0206i | 1.20478 | − | 0.949770i | ||||
\(361\) | 2.97222 | + | 18.7659i | 0.156433 | + | 0.987676i | ||||
\(362\) | −3.79709 | + | 0.755288i | −0.199571 | + | 0.0396971i | ||||
\(363\) | −1.40427 | + | 2.89356i | −0.0737051 | + | 0.151872i | ||||
\(364\) | −9.04516 | + | 45.4731i | −0.474095 | + | 2.38344i | ||||
\(365\) | −8.22719 | + | 34.2687i | −0.430631 | + | 1.79371i | ||||
\(366\) | −6.89241 | + | 0.542445i | −0.360272 | + | 0.0283540i | ||||
\(367\) | 2.39342 | + | 20.2219i | 0.124936 | + | 1.05558i | 0.903672 | + | 0.428225i | \(0.140861\pi\) |
−0.778736 | + | 0.627351i | \(0.784139\pi\) | |||||||
\(368\) | 0.384426 | − | 1.04203i | 0.0200396 | − | 0.0543197i | ||||
\(369\) | 24.2535 | + | 22.4197i | 1.26258 | + | 1.16712i | ||||
\(370\) | 0.288000 | − | 0.565233i | 0.0149724 | − | 0.0293850i | ||||
\(371\) | −5.10131 | − | 6.47099i | −0.264847 | − | 0.335957i | ||||
\(372\) | 1.07481 | + | 1.75392i | 0.0557261 | + | 0.0909367i | ||||
\(373\) | −0.550088 | −0.0284825 | −0.0142412 | − | 0.999899i | \(-0.504533\pi\) | ||||
−0.0142412 | + | 0.999899i | \(0.504533\pi\) | |||||||
\(374\) | 10.4087 | + | 29.1761i | 0.538220 | + | 1.50866i | ||||
\(375\) | 5.90593 | 0.304981 | ||||||||
\(376\) | −3.89177 | − | 6.35079i | −0.200703 | − | 0.327517i | ||||
\(377\) | 15.3207 | + | 19.4343i | 0.789059 | + | 1.00092i | ||||
\(378\) | 6.73310 | − | 13.2144i | 0.346313 | − | 0.679678i | ||||
\(379\) | −7.69497 | − | 7.11316i | −0.395264 | − | 0.365378i | 0.456123 | − | 0.889917i | \(-0.349238\pi\) |
−0.851387 | + | 0.524539i | \(0.824238\pi\) | |||||||
\(380\) | 0.0641555 | − | 0.173901i | 0.00329111 | − | 0.00892094i | ||||
\(381\) | 0.170938 | + | 1.44425i | 0.00875744 | + | 0.0739912i | ||||
\(382\) | −49.6148 | + | 3.90477i | −2.53851 | + | 0.199785i | ||||
\(383\) | 6.25422 | − | 26.0507i | 0.319576 | − | 1.33113i | −0.549104 | − | 0.835754i | \(-0.685031\pi\) |
0.868680 | − | 0.495374i | \(-0.164969\pi\) | |||||||
\(384\) | 0.982464 | − | 4.93918i | 0.0501362 | − | 0.252052i | ||||
\(385\) | −18.2738 | − | 45.3863i | −0.931321 | − | 2.31310i | ||||
\(386\) | −52.1175 | + | 10.3668i | −2.65271 | + | 0.527657i | ||||
\(387\) | 2.59888 | + | 16.4087i | 0.132108 | + | 0.834100i | ||||
\(388\) | 25.0046 | − | 19.7120i | 1.26941 | − | 1.00073i | ||||
\(389\) | 2.39826 | − | 30.4727i | 0.121596 | − | 1.54503i | −0.569333 | − | 0.822107i | \(-0.692799\pi\) |
0.690930 | − | 0.722922i | \(-0.257201\pi\) | |||||||
\(390\) | −5.93283 | − | 8.16584i | −0.300420 | − | 0.413493i | ||||
\(391\) | −5.89827 | + | 8.10426i | −0.298288 | + | 0.409850i | ||||
\(392\) | −17.8743 | + | 5.80772i | −0.902790 | + | 0.293334i | ||||
\(393\) | 1.17533 | − | 1.37614i | 0.0592877 | − | 0.0694170i | ||||
\(394\) | 14.6548 | − | 5.40645i | 0.738300 | − | 0.272373i | ||||
\(395\) | −29.5916 | + | 29.5916i | −1.48892 | + | 1.48892i | ||||
\(396\) | 28.8797 | − | 9.06757i | 1.45126 | − | 0.455663i | ||||
\(397\) | −14.7269 | − | 22.0404i | −0.739124 | − | 1.10618i | −0.990396 | − | 0.138261i | \(-0.955849\pi\) |
0.251272 | − | 0.967917i | \(-0.419151\pi\) | |||||||
\(398\) | −26.0941 | − | 28.2284i | −1.30798 | − | 1.41496i | ||||
\(399\) | −0.00131931 | − | 0.0167635i | −6.60483e−5 | − | 0.000839224i | ||||
\(400\) | −3.53792 | + | 3.02167i | −0.176896 | + | 0.151084i | ||||
\(401\) | 32.1073 | − | 14.8017i | 1.60336 | − | 0.739160i | 0.604991 | − | 0.796232i | \(-0.293177\pi\) |
0.998370 | + | 0.0570722i | \(0.0181765\pi\) | |||||||
\(402\) | −2.85814 | − | 1.05442i | −0.142551 | − | 0.0525899i | ||||
\(403\) | −7.66595 | + | 4.29314i | −0.381868 | + | 0.213856i | ||||
\(404\) | 7.10501 | − | 3.62019i | 0.353488 | − | 0.180111i | ||||
\(405\) | −11.1103 | − | 30.1158i | −0.552076 | − | 1.49647i | ||||
\(406\) | −20.7672 | + | 50.1365i | −1.03066 | + | 2.48823i | ||||
\(407\) | 0.176631 | − | 0.160053i | 0.00875528 | − | 0.00793356i | ||||
\(408\) | −1.40506 | + | 2.75200i | −0.0695610 | + | 0.136244i | ||||
\(409\) | 5.90342 | − | 8.12536i | 0.291905 | − | 0.401773i | −0.637726 | − | 0.770263i | \(-0.720125\pi\) |
0.929632 | + | 0.368490i | \(0.120125\pi\) | |||||||
\(410\) | 76.0634 | + | 64.9643i | 3.75650 | + | 3.20836i | ||||
\(411\) | 1.79072 | + | 0.505035i | 0.0883297 | + | 0.0249115i | ||||
\(412\) | −38.3823 | − | 6.07917i | −1.89096 | − | 0.299499i | ||||
\(413\) | 31.0877 | − | 33.6305i | 1.52972 | − | 1.65485i | ||||
\(414\) | 12.6044 | + | 9.93648i | 0.619471 | + | 0.488351i | ||||
\(415\) | 11.9412 | − | 21.3225i | 0.586168 | − | 1.04668i | ||||
\(416\) | 23.4292 | + | 5.62486i | 1.14871 | + | 0.275782i | ||||
\(417\) | 2.01627 | − | 0.835167i | 0.0987372 | − | 0.0408983i | ||||
\(418\) | 0.0749783 | − | 0.0860436i | 0.00366731 | − | 0.00420853i | ||||
\(419\) | −19.0793 | + | 12.7484i | −0.932083 | + | 0.622798i | −0.926138 | − | 0.377184i | \(-0.876892\pi\) |
−0.00594501 | + | 0.999982i | \(0.501892\pi\) | |||||||
\(420\) | 5.65490 | − | 12.2664i | 0.275931 | − | 0.598541i | ||||
\(421\) | 8.84069 | + | 17.3508i | 0.430869 | + | 0.845627i | 0.999731 | + | 0.0231945i | \(0.00738372\pi\) |
−0.568862 | + | 0.822433i | \(0.692616\pi\) | |||||||
\(422\) | −12.8551 | + | 45.5807i | −0.625776 | + | 2.21883i | ||||
\(423\) | −8.23567 | + | 1.97721i | −0.400432 | + | 0.0961352i | ||||
\(424\) | 4.51314 | − | 3.27899i | 0.219178 | − | 0.159242i | ||||
\(425\) | 38.1458 | − | 17.5475i | 1.85034 | − | 0.851177i | ||||
\(426\) | 2.80857 | + | 0.912560i | 0.136076 | + | 0.0442137i | ||||
\(427\) | 33.6943 | − | 20.6479i | 1.63058 | − | 0.999221i | ||||
\(428\) | −6.83275 | − | 4.56549i | −0.330273 | − | 0.220682i | ||||
\(429\) | −0.993159 | − | 3.66020i | −0.0479502 | − | 0.176716i | ||||
\(430\) | 9.81596 | + | 49.3481i | 0.473367 | + | 2.37978i | ||||
\(431\) | 24.8057 | + | 0.974619i | 1.19485 | + | 0.0469457i | 0.628894 | − | 0.777491i | \(-0.283508\pi\) |
0.565954 | + | 0.824436i | \(0.308508\pi\) | |||||||
\(432\) | −0.689361 | − | 0.386061i | −0.0331669 | − | 0.0185744i | ||||
\(433\) | 2.80728 | + | 3.28690i | 0.134909 | + | 0.157958i | 0.823748 | − | 0.566956i | \(-0.191879\pi\) |
−0.688839 | + | 0.724915i | \(0.741879\pi\) | |||||||
\(434\) | −16.4279 | − | 10.0671i | −0.788566 | − | 0.483234i | ||||
\(435\) | −3.01834 | − | 6.54729i | −0.144718 | − | 0.313918i | ||||
\(436\) | 2.37223 | − | 3.00916i | 0.113609 | − | 0.144113i | ||||
\(437\) | 0.0366729 | + | 0.00434053i | 0.00175430 | + | 0.000207636i | ||||
\(438\) | −5.91676 | + | 0.937122i | −0.282714 | + | 0.0447774i | ||||
\(439\) | −2.95256 | + | 4.41881i | −0.140918 | + | 0.210898i | −0.895215 | − | 0.445635i | \(-0.852978\pi\) |
0.754297 | + | 0.656533i | \(0.227978\pi\) | |||||||
\(440\) | 31.1890 | − | 11.1557i | 1.48688 | − | 0.531828i | ||||
\(441\) | 21.3712i | 1.01768i | ||||||||
\(442\) | −31.8550 | − | 17.8741i | −1.51519 | − | 0.850183i | ||||
\(443\) | −4.80792 | + | 14.7973i | −0.228431 | + | 0.703039i | 0.769494 | + | 0.638654i | \(0.220509\pi\) |
−0.997925 | + | 0.0643848i | \(0.979491\pi\) | |||||||
\(444\) | 0.0656008 | + | 0.00516289i | 0.00311327 | + | 0.000245020i | ||||
\(445\) | −0.571110 | − | 14.5357i | −0.0270732 | − | 0.689060i | ||||
\(446\) | −0.0399043 | + | 0.251946i | −0.00188953 | + | 0.0119300i | ||||
\(447\) | 0.326145 | + | 0.582374i | 0.0154261 | + | 0.0275453i | ||||
\(448\) | 13.4032 | + | 47.5242i | 0.633242 | + | 2.24531i | ||||
\(449\) | −21.7384 | + | 20.0948i | −1.02590 | + | 0.948332i | −0.998683 | − | 0.0512977i | \(-0.983664\pi\) |
−0.0272162 | + | 0.999630i | \(0.508664\pi\) | |||||||
\(450\) | −25.7293 | − | 62.1161i | −1.21289 | − | 2.92818i | ||||
\(451\) | 18.0385 | + | 32.9737i | 0.849399 | + | 1.55267i | ||||
\(452\) | 13.8694 | + | 2.75880i | 0.652362 | + | 0.129763i | ||||
\(453\) | −0.0787736 | + | 2.00492i | −0.00370111 | + | 0.0941995i | ||||
\(454\) | 7.45869 | − | 63.0181i | 0.350054 | − | 2.95759i | ||||
\(455\) | 51.4047 | + | 26.1920i | 2.40989 | + | 1.22790i | ||||
\(456\) | 0.0113754 | 0.000446940i | 0.000532701 | 2.09299e-5i | ||||||
\(457\) | 0.0505473 | + | 0.210545i | 0.00236450 | + | 0.00984887i | 0.973540 | − | 0.228518i | \(-0.0733880\pi\) |
−0.971175 | + | 0.238367i | \(0.923388\pi\) | |||||||
\(458\) | 8.47983 | + | 26.0982i | 0.396236 | + | 1.21949i | ||||
\(459\) | 5.03774 | + | 5.04603i | 0.235142 | + | 0.235528i | ||||
\(460\) | 23.9984 | + | 17.4359i | 1.11893 | + | 0.812953i | ||||
\(461\) | −20.3480 | − | 8.42844i | −0.947703 | − | 0.392551i | −0.145336 | − | 0.989382i | \(-0.546426\pi\) |
−0.802367 | + | 0.596831i | \(0.796426\pi\) | |||||||
\(462\) | 5.93882 | − | 5.82205i | 0.276299 | − | 0.270866i | ||||
\(463\) | 4.14653 | + | 4.14653i | 0.192706 | + | 0.192706i | 0.796864 | − | 0.604159i | \(-0.206491\pi\) |
−0.604159 | + | 0.796864i | \(0.706491\pi\) | |||||||
\(464\) | 2.62547 | + | 1.21036i | 0.121885 | + | 0.0561896i | ||||
\(465\) | 2.46358 | − | 0.694801i | 0.114246 | − | 0.0322206i | ||||
\(466\) | 11.4484 | − | 1.35501i | 0.530337 | − | 0.0627695i | ||||
\(467\) | −13.7591 | + | 22.4527i | −0.636693 | + | 1.03899i | 0.357761 | + | 0.933813i | \(0.383540\pi\) |
−0.994454 | + | 0.105175i | \(0.966460\pi\) | |||||||
\(468\) | −18.6495 | + | 30.4332i | −0.862072 | + | 1.40677i | ||||
\(469\) | 17.2922 | − | 2.04666i | 0.798479 | − | 0.0945062i | ||||
\(470\) | −24.6883 | + | 6.96282i | −1.13879 | + | 0.321171i | ||||
\(471\) | 1.21760 | + | 0.561319i | 0.0561038 | + | 0.0258642i | ||||
\(472\) | 21.9244 | + | 21.9244i | 1.00915 | + | 1.00915i | ||||
\(473\) | −3.14269 | + | 18.6423i | −0.144501 | + | 0.857174i | ||||
\(474\) | −6.57199 | − | 2.72221i | −0.301861 | − | 0.125035i | ||||
\(475\) | −0.125152 | − | 0.0909281i | −0.00574236 | − | 0.00417207i | ||||
\(476\) | 0.0401640 | − | 48.8804i | 0.00184091 | − | 2.24043i | ||||
\(477\) | −1.96024 | − | 6.03300i | −0.0897532 | − | 0.276232i | ||||
\(478\) | 5.51878 | + | 22.9874i | 0.252423 | + | 1.05142i | ||||
\(479\) | 7.48256 | − | 0.293990i | 0.341887 | − | 0.0134328i | 0.132262 | − | 0.991215i | \(-0.457776\pi\) |
0.209624 | + | 0.977782i | \(0.432776\pi\) | |||||||
\(480\) | −6.25448 | − | 3.18682i | −0.285477 | − | 0.145458i | ||||
\(481\) | −0.0330357 | + | 0.279117i | −0.00150630 | + | 0.0127266i | ||||
\(482\) | 1.90670 | − | 48.5289i | 0.0868480 | − | 2.21043i | ||||
\(483\) | 2.63933 | + | 0.524995i | 0.120094 | + | 0.0238881i | ||||
\(484\) | 34.4393 | + | 0.683957i | 1.56542 | + | 0.0310889i | ||||
\(485\) | −15.1619 | − | 36.6042i | −0.688469 | − | 1.66211i | ||||
\(486\) | 12.6367 | − | 11.6813i | 0.573214 | − | 0.529873i | ||||
\(487\) | 6.23493 | + | 22.1074i | 0.282532 | + | 1.00178i | 0.963110 | + | 0.269107i | \(0.0867284\pi\) |
−0.680579 | + | 0.732675i | \(0.738272\pi\) | |||||||
\(488\) | 13.0725 | + | 23.3426i | 0.591764 | + | 1.05667i | ||||
\(489\) | −0.186243 | + | 1.17589i | −0.00842220 | + | 0.0531757i | ||||
\(490\) | 2.54109 | + | 64.6751i | 0.114795 | + | 2.92172i | ||||
\(491\) | 37.5880 | + | 2.95824i | 1.69632 | + | 0.133503i | 0.889392 | − | 0.457145i | \(-0.151128\pi\) |
0.806929 | + | 0.590648i | \(0.201128\pi\) | |||||||
\(492\) | −3.20639 | + | 9.86824i | −0.144555 | + | 0.444895i | ||||
\(493\) | −19.8253 | − | 16.9606i | −0.892885 | − | 0.763865i | ||||
\(494\) | 0.134576i | 0.00605484i | ||||||||
\(495\) | −1.10501 | − | 37.6498i | −0.0496666 | − | 1.69223i | ||||
\(496\) | −0.570258 | + | 0.853451i | −0.0256053 | + | 0.0383211i | ||||
\(497\) | −16.6716 | + | 2.64052i | −0.747824 | + | 0.118444i | ||||
\(498\) | 4.12525 | + | 0.488256i | 0.184857 | + | 0.0218793i | ||||
\(499\) | 2.24595 | − | 2.84898i | 0.100543 | − | 0.127538i | −0.732452 | − | 0.680818i | \(-0.761624\pi\) |
0.832995 | + | 0.553281i | \(0.186624\pi\) | |||||||
\(500\) | −26.4808 | − | 57.4414i | −1.18426 | − | 2.56886i | ||||
\(501\) | 1.13066 | + | 0.692872i | 0.0505143 | + | 0.0309552i | ||||
\(502\) | −6.40650 | − | 7.50105i | −0.285936 | − | 0.334788i | ||||
\(503\) | −14.1558 | − | 7.92764i | −0.631177 | − | 0.353476i | 0.139949 | − | 0.990159i | \(-0.455306\pi\) |
−0.771126 | + | 0.636683i | \(0.780306\pi\) | |||||||
\(504\) | −28.2588 | − | 1.11029i | −1.25875 | − | 0.0494563i | ||||
\(505\) | −1.93580 | − | 9.73194i | −0.0861421 | − | 0.433065i | ||||
\(506\) | 9.99593 | + | 15.2864i | 0.444373 | + | 0.679562i | ||||
\(507\) | 0.557859 | + | 0.372750i | 0.0247754 | + | 0.0165544i | ||||
\(508\) | 13.2804 | − | 8.13824i | 0.589223 | − | 0.361076i | ||||
\(509\) | −25.7075 | − | 8.35288i | −1.13947 | − | 0.370235i | −0.322300 | − | 0.946638i | \(-0.604456\pi\) |
−0.817166 | + | 0.576403i | \(0.804456\pi\) | |||||||
\(510\) | 7.80827 | + | 7.22980i | 0.345756 | + | 0.320141i | ||||
\(511\) | 27.7013 | − | 20.1262i | 1.22543 | − | 0.890329i | ||||
\(512\) | 5.01439 | − | 1.20385i | 0.221607 | − | 0.0532031i | ||||
\(513\) | 0.00713073 | − | 0.0252837i | 0.000314830 | − | 0.00111630i | ||||
\(514\) | −20.3192 | − | 39.8786i | −0.896240 | − | 1.75897i | ||||
\(515\) | −20.2448 | + | 43.9144i | −0.892093 | + | 1.93510i | ||||
\(516\) | −4.33957 | + | 2.89961i | −0.191039 | + | 0.127648i | ||||
\(517\) | −9.60057 | − | 0.851570i | −0.422233 | − | 0.0374520i | ||||
\(518\) | −0.569426 | + | 0.235864i | −0.0250192 | + | 0.0103633i | ||||
\(519\) | −1.05461 | − | 0.253191i | −0.0462924 | − | 0.0111138i | ||||
\(520\) | −19.0849 | + | 34.0785i | −0.836928 | + | 1.49444i | ||||
\(521\) | −27.0160 | − | 21.2977i | −1.18359 | − | 0.933070i | −0.184830 | − | 0.982771i | \(-0.559173\pi\) |
−0.998764 | + | 0.0497004i | \(0.984173\pi\) | |||||||
\(522\) | −28.3584 | + | 30.6779i | −1.24121 | + | 1.34274i | ||||
\(523\) | 1.58813 | + | 0.251535i | 0.0694441 | + | 0.0109989i | 0.191060 | − | 0.981578i | \(-0.438808\pi\) |
−0.121616 | + | 0.992577i | \(0.538808\pi\) | |||||||
\(524\) | −18.6543 | − | 5.26106i | −0.814917 | − | 0.229830i | ||||
\(525\) | −8.57191 | − | 7.32111i | −0.374109 | − | 0.319519i | ||||
\(526\) | −6.40978 | + | 8.82230i | −0.279480 | + | 0.384671i | ||||
\(527\) | 7.04867 | − | 6.01012i | 0.307045 | − | 0.261805i | ||||
\(528\) | −0.297503 | − | 0.328318i | −0.0129472 | − | 0.0142882i | ||||
\(529\) | 6.54009 | − | 15.7892i | 0.284352 | − | 0.686486i | ||||
\(530\) | −6.64956 | − | 18.0244i | −0.288839 | − | 0.782931i | ||||
\(531\) | 31.4143 | − | 16.0064i | 1.36327 | − | 0.694619i | ||||
\(532\) | −0.157127 | + | 0.0879953i | −0.00681231 | + | 0.00381508i | ||||
\(533\) | −41.5798 | − | 15.3396i | −1.80102 | − | 0.664432i | ||||
\(534\) | 2.24555 | − | 1.03521i | 0.0971746 | − | 0.0447981i | ||||
\(535\) | −7.77563 | + | 6.64101i | −0.336170 | + | 0.287116i | ||||
\(536\) | 0.924932 | + | 11.7524i | 0.0399510 | + | 0.507625i | ||||
\(537\) | 0.613618 | + | 0.663808i | 0.0264796 | + | 0.0286454i | ||||
\(538\) | −22.9765 | − | 34.3868i | −0.990589 | − | 1.48252i | ||||
\(539\) | −7.74450 | + | 23.0538i | −0.333579 | + | 0.992995i | ||||
\(540\) | 14.9212 | − | 14.9212i | 0.642106 | − | 0.642106i | ||||
\(541\) | 13.6020 | − | 5.01803i | 0.584794 | − | 0.215742i | −0.0364810 | − | 0.999334i | \(-0.511615\pi\) |
0.621275 | + | 0.783592i | \(0.286615\pi\) | |||||||
\(542\) | −43.8974 | + | 51.3972i | −1.88555 | + | 2.20770i | ||||
\(543\) | −0.475256 | + | 0.154420i | −0.0203952 | + | 0.00662680i | ||||
\(544\) | −25.3824 | − | 1.01817i | −1.08826 | − | 0.0436535i | ||||
\(545\) | −2.80260 | − | 3.85744i | −0.120050 | − | 0.165235i | ||||
\(546\) | −0.769418 | + | 9.77638i | −0.0329280 | + | 0.418390i | ||||
\(547\) | −14.2357 | + | 11.2225i | −0.608676 | + | 0.479841i | −0.875053 | − | 0.484028i | \(-0.839173\pi\) |
0.266377 | + | 0.963869i | \(0.414173\pi\) | |||||||
\(548\) | −3.11718 | − | 19.6811i | −0.133159 | − | 0.840734i | ||||
\(549\) | 29.8377 | − | 5.93509i | 1.27344 | − | 0.253304i | ||||
\(550\) | −5.24535 | − | 76.3303i | −0.223663 | − | 3.25474i | ||||
\(551\) | −0.0187528 | + | 0.0942766i | −0.000798895 | + | 0.00401632i | ||||
\(552\) | −0.425305 | + | 1.77152i | −0.0181022 | + | 0.0754010i | ||||
\(553\) | 40.5340 | − | 3.19009i | 1.72368 | − | 0.135656i | ||||
\(554\) | −1.82965 | − | 15.4586i | −0.0777342 | − | 0.656773i | ||||
\(555\) | 0.0283409 | − | 0.0768214i | 0.00120300 | − | 0.00326089i | ||||
\(556\) | −17.1634 | − | 15.8656i | −0.727888 | − | 0.672853i | ||||
\(557\) | 7.32014 | − | 14.3666i | 0.310164 | − | 0.608732i | −0.682327 | − | 0.731047i | \(-0.739032\pi\) |
0.992491 | + | 0.122315i | \(0.0390320\pi\) | |||||||
\(558\) | −9.18280 | − | 11.6483i | −0.388739 | − | 0.493113i | ||||
\(559\) | −11.6478 | − | 19.0074i | −0.492648 | − | 0.803929i | ||||
\(560\) | 6.73987 | 0.284812 | ||||||||
\(561\) | 1.77683 | + | 3.58191i | 0.0750179 | + | 0.151228i | ||||
\(562\) | 5.86664 | 0.247469 | ||||||||
\(563\) | −15.2523 | − | 24.8895i | −0.642809 | − | 1.04897i | −0.993648 | − | 0.112533i | \(-0.964104\pi\) |
0.350839 | − | 0.936436i | \(-0.385896\pi\) | |||||||
\(564\) | −1.64729 | − | 2.08958i | −0.0693635 | − | 0.0879872i | ||||
\(565\) | 7.98863 | − | 15.6786i | 0.336084 | − | 0.659602i | ||||
\(566\) | 20.4910 | + | 18.9417i | 0.861301 | + | 0.796178i | ||||
\(567\) | −10.7945 | + | 29.2597i | −0.453326 | + | 1.22879i | ||||
\(568\) | −1.34317 | − | 11.3483i | −0.0563580 | − | 0.476166i | ||||
\(569\) | 4.71644 | − | 0.371192i | 0.197723 | − | 0.0155612i | 0.0207893 | − | 0.999784i | \(-0.493382\pi\) |
0.176934 | + | 0.984223i | \(0.443382\pi\) | |||||||
\(570\) | 0.00915240 | − | 0.0381225i | 0.000383352 | − | 0.00159678i | ||||
\(571\) | −6.66261 | + | 33.4952i | −0.278821 | + | 1.40173i | 0.546685 | + | 0.837338i | \(0.315889\pi\) |
−0.825507 | + | 0.564392i | \(0.809111\pi\) | |||||||
\(572\) | −31.1461 | + | 26.0710i | −1.30229 | + | 1.09008i | ||||
\(573\) | −6.30043 | + | 1.25323i | −0.263204 | + | 0.0523546i | ||||
\(574\) | −15.2033 | − | 95.9900i | −0.634574 | − | 4.00655i | ||||
\(575\) | 19.4419 | − | 15.3268i | 0.810784 | − | 0.639170i | ||||
\(576\) | −2.98249 | + | 37.8961i | −0.124270 | + | 1.57900i | ||||
\(577\) | 4.94984 | + | 6.81287i | 0.206065 | + | 0.283623i | 0.899523 | − | 0.436873i | \(-0.143914\pi\) |
−0.693459 | + | 0.720496i | \(0.743914\pi\) | |||||||
\(578\) | 36.6052 | + | 11.9603i | 1.52258 | + | 0.497483i | ||||
\(579\) | −6.52320 | + | 2.11952i | −0.271095 | + | 0.0880840i | ||||
\(580\) | −50.1456 | + | 58.7130i | −2.08218 | + | 2.43792i | ||||
\(581\) | −22.2762 | + | 8.21813i | −0.924173 | + | 0.340945i | ||||
\(582\) | 4.76209 | − | 4.76209i | 0.197395 | − | 0.197395i | ||||
\(583\) | 0.0716702 | − | 7.21833i | 0.00296827 | − | 0.298953i | ||||
\(584\) | 12.8788 | + | 19.2746i | 0.532931 | + | 0.797587i | ||||
\(585\) | 30.1485 | + | 32.6144i | 1.24649 | + | 1.34844i | ||||
\(586\) | 3.78063 | + | 48.0375i | 0.156177 | + | 1.98441i | ||||
\(587\) | −4.17860 | + | 3.56886i | −0.172469 | + | 0.147303i | −0.731493 | − | 0.681849i | \(-0.761176\pi\) |
0.559024 | + | 0.829152i | \(0.311176\pi\) | |||||||
\(588\) | −6.09719 | + | 2.81084i | −0.251444 | + | 0.115917i | ||||
\(589\) | −0.0320185 | − | 0.0118122i | −0.00131930 | − | 0.000486714i | ||||
\(590\) | 93.1653 | − | 52.1751i | 3.83555 | − | 2.14801i | ||||
\(591\) | 1.79645 | − | 0.915336i | 0.0738960 | − | 0.0376519i | ||||
\(592\) | 0.0113648 | + | 0.0308055i | 0.000467089 | + | 0.00126610i | ||||
\(593\) | 13.9068 | − | 33.5740i | 0.571085 | − | 1.37872i | −0.329548 | − | 0.944139i | \(-0.606896\pi\) |
0.900632 | − | 0.434582i | \(-0.143104\pi\) | |||||||
\(594\) | 11.8527 | − | 5.32212i | 0.486321 | − | 0.218369i | ||||
\(595\) | −58.5270 | − | 16.5582i | −2.39937 | − | 0.678822i | ||||
\(596\) | 4.20183 | − | 5.78333i | 0.172114 | − | 0.236894i | ||||
\(597\) | −3.77303 | − | 3.22247i | −0.154420 | − | 0.131887i | ||||
\(598\) | −20.7282 | − | 5.84595i | −0.847638 | − | 0.239059i | ||||
\(599\) | −37.3008 | − | 5.90787i | −1.52407 | − | 0.241389i | −0.662513 | − | 0.749050i | \(-0.730510\pi\) |
−0.861557 | + | 0.507661i | \(0.830510\pi\) | |||||||
\(600\) | 5.18049 | − | 5.60422i | 0.211492 | − | 0.228791i | ||||
\(601\) | −13.1075 | − | 10.3331i | −0.534665 | − | 0.421496i | 0.314786 | − | 0.949163i | \(-0.398067\pi\) |
−0.849452 | + | 0.527666i | \(0.823067\pi\) | |||||||
\(602\) | 23.8861 | − | 42.6517i | 0.973525 | − | 1.73835i | ||||
\(603\) | 13.0348 | + | 3.12937i | 0.530817 | + | 0.127438i | ||||
\(604\) | 19.8532 | − | 8.22345i | 0.807814 | − | 0.334607i | ||||
\(605\) | 12.4515 | − | 41.0144i | 0.506227 | − | 1.66747i | ||||
\(606\) | 1.40239 | − | 0.937048i | 0.0569682 | − | 0.0380650i | ||||
\(607\) | −10.0861 | + | 21.8783i | −0.409380 | + | 0.888015i | 0.587510 | + | 0.809217i | \(0.300108\pi\) |
−0.996891 | + | 0.0787980i | \(0.974892\pi\) | |||||||
\(608\) | 0.0424893 | + | 0.0833900i | 0.00172317 | + | 0.00338191i | ||||
\(609\) | −1.90133 | + | 6.74161i | −0.0770458 | + | 0.273184i | ||||
\(610\) | 89.5915 | − | 21.5090i | 3.62745 | − | 0.870874i | ||||
\(611\) | 9.19453 | − | 6.68022i | 0.371971 | − | 0.270253i | ||||
\(612\) | 13.0535 | − | 35.2936i | 0.527655 | − | 1.42666i | ||||
\(613\) | 42.7368 | + | 13.8860i | 1.72612 | + | 0.560852i | 0.992881 | − | 0.119115i | \(-0.0380056\pi\) |
0.733243 | + | 0.679966i | \(0.238006\pi\) | |||||||
\(614\) | −39.2846 | + | 24.0736i | −1.58540 | + | 0.971533i | ||||
\(615\) | 10.7355 | + | 7.17321i | 0.432896 | + | 0.289252i | ||||
\(616\) | −30.0813 | − | 11.4381i | −1.21201 | − | 0.460856i | ||||
\(617\) | 8.17618 | + | 41.1044i | 0.329160 | + | 1.65480i | 0.691218 | + | 0.722646i | \(0.257074\pi\) |
−0.362058 | + | 0.932156i | \(0.617926\pi\) | |||||||
\(618\) | −8.21325 | − | 0.322700i | −0.330385 | − | 0.0129809i | ||||
\(619\) | 20.2193 | + | 11.3234i | 0.812682 | + | 0.455124i | 0.838737 | − | 0.544537i | \(-0.183294\pi\) |
−0.0260549 | + | 0.999661i | \(0.508294\pi\) | |||||||
\(620\) | −17.8038 | − | 20.8455i | −0.715017 | − | 0.837177i | ||||
\(621\) | 3.58459 | + | 2.19664i | 0.143845 | + | 0.0881482i | ||||
\(622\) | 30.4883 | + | 66.1342i | 1.22247 | + | 2.65174i | ||||
\(623\) | −8.74992 | + | 11.0992i | −0.350558 | + | 0.444681i | ||||
\(624\) | 0.518816 | + | 0.0614059i | 0.0207693 | + | 0.00245820i | ||||
\(625\) | −27.4463 | + | 4.34707i | −1.09785 | + | 0.173883i | ||||
\(626\) | 3.70944 | − | 5.55157i | 0.148259 | − | 0.221885i | ||||
\(627\) | 0.00830541 | − | 0.0121667i | 0.000331686 | − | 0.000485890i | ||||
\(628\) | − | 14.3592i | − | 0.572995i | ||||||
\(629\) | −0.0230063 | − | 0.295426i | −0.000917323 | − | 0.0117794i | ||||
\(630\) | −30.0968 | + | 92.6284i | −1.19908 | + | 3.69040i | ||||
\(631\) | −47.1544 | − | 3.71113i | −1.87719 | − | 0.147738i | −0.912151 | − | 0.409854i | \(-0.865580\pi\) |
−0.965036 | + | 0.262117i | \(0.915580\pi\) | |||||||
\(632\) | 1.08070 | + | 27.5056i | 0.0429878 | + | 1.09411i | ||||
\(633\) | −0.956263 | + | 6.03761i | −0.0380080 | + | 0.239973i | ||||
\(634\) | −38.5319 | − | 68.8037i | −1.53030 | − | 2.73254i | ||||
\(635\) | −5.26091 | − | 18.6538i | −0.208773 | − | 0.740253i | ||||
\(636\) | 1.46339 | − | 1.35274i | 0.0580272 | − | 0.0536398i | ||||
\(637\) | −10.9742 | − | 26.4941i | −0.434814 | − | 1.04973i | ||||
\(638\) | −41.7081 | + | 22.8167i | −1.65124 | + | 0.903322i | ||||
\(639\) | −12.7448 | − | 2.53510i | −0.504176 | − | 0.100287i | ||||
\(640\) | −2.63483 | + | 67.0609i | −0.104151 | + | 2.65081i | ||||
\(641\) | 0.0737710 | − | 0.623288i | 0.00291378 | − | 0.0246184i | −0.991535 | − | 0.129838i | \(-0.958554\pi\) |
0.994449 | + | 0.105219i | \(0.0335544\pi\) | |||||||
\(642\) | −1.54870 | − | 0.789104i | −0.0611225 | − | 0.0311434i | ||||
\(643\) | −1.76625 | + | 0.0693962i | −0.0696541 | + | 0.00273672i | −0.0740630 | − | 0.997254i | \(-0.523597\pi\) |
0.00440889 | + | 0.999990i | \(0.498597\pi\) | |||||||
\(644\) | −6.72801 | − | 28.0242i | −0.265121 | − | 1.10431i | ||||
\(645\) | 2.00689 | + | 6.17658i | 0.0790213 | + | 0.243202i | ||||
\(646\) | −0.0275651 | − | 0.139176i | −0.00108453 | − | 0.00547583i | ||||
\(647\) | −32.5093 | − | 23.6194i | −1.27807 | − | 0.928574i | −0.278580 | − | 0.960413i | \(-0.589864\pi\) |
−0.999493 | + | 0.0318388i | \(0.989864\pi\) | |||||||
\(648\) | −19.5070 | − | 8.08006i | −0.766307 | − | 0.317415i | ||||
\(649\) | 39.6880 | − | 5.88265i | 1.55789 | − | 0.230914i | ||||
\(650\) | 63.7938 | + | 63.7938i | 2.50220 | + | 2.50220i | ||||
\(651\) | −2.25848 | − | 1.04117i | −0.0885168 | − | 0.0408068i | ||||
\(652\) | 12.2718 | − | 3.46102i | 0.480602 | − | 0.135544i | ||||
\(653\) | −22.6642 | + | 2.68249i | −0.886920 | + | 0.104974i | −0.548627 | − | 0.836067i | \(-0.684849\pi\) |
−0.338293 | + | 0.941041i | \(0.609849\pi\) | |||||||
\(654\) | 0.423472 | − | 0.691043i | 0.0165591 | − | 0.0270219i | ||||
\(655\) | −12.6016 | + | 20.5639i | −0.492384 | + | 0.803498i | ||||
\(656\) | −5.14163 | + | 0.608552i | −0.200747 | + | 0.0237599i | ||||
\(657\) | 25.3702 | − | 7.15514i | 0.989786 | − | 0.279149i | ||||
\(658\) | 22.6329 | + | 10.4339i | 0.882324 | + | 0.406757i | ||||
\(659\) | −19.4437 | − | 19.4437i | −0.757420 | − | 0.757420i | 0.218432 | − | 0.975852i | \(-0.429906\pi\) |
−0.975852 | + | 0.218432i | \(0.929906\pi\) | |||||||
\(660\) | 10.5961 | − | 5.26714i | 0.412454 | − | 0.205023i | ||||
\(661\) | −0.134933 | − | 0.0558911i | −0.00524829 | − | 0.00217391i | 0.380058 | − | 0.924963i | \(-0.375904\pi\) |
−0.385306 | + | 0.922789i | \(0.625904\pi\) | |||||||
\(662\) | −8.57172 | − | 6.22772i | −0.333149 | − | 0.242047i | ||||
\(663\) | −4.35438 | − | 1.80784i | −0.169110 | − | 0.0702106i | ||||
\(664\) | −4.96739 | − | 15.2881i | −0.192772 | − | 0.593291i | ||||
\(665\) | 0.0523135 | + | 0.217901i | 0.00202863 | + | 0.00844985i | ||||
\(666\) | −0.474120 | + | 0.0186282i | −0.0183718 | + | 0.000721829i | ||||
\(667\) | −13.7065 | − | 6.98379i | −0.530716 | − | 0.270413i | ||||
\(668\) | 1.66927 | − | 14.1036i | 0.0645859 | − | 0.545683i | ||||
\(669\) | −0.00129265 | + | 0.0329001i | −4.99767e−5 | + | 0.00127199i | ||||
\(670\) | 39.8189 | + | 7.92047i | 1.53834 | + | 0.305994i | ||||
\(671\) | 34.3376 | + | 4.41024i | 1.32559 | + | 0.170255i | ||||
\(672\) | 2.60991 | + | 6.30088i | 0.100680 | + | 0.243062i | ||||
\(673\) | −19.5586 | + | 18.0798i | −0.753929 | + | 0.696925i | −0.959497 | − | 0.281718i | \(-0.909096\pi\) |
0.205568 | + | 0.978643i | \(0.434096\pi\) | |||||||
\(674\) | −1.39552 | − | 4.94813i | −0.0537534 | − | 0.190595i | ||||
\(675\) | −8.60517 | − | 15.3656i | −0.331213 | − | 0.591423i | ||||
\(676\) | 1.12407 | − | 7.09709i | 0.0432334 | − | 0.272965i | ||||
\(677\) | −0.625141 | − | 15.9109i | −0.0240261 | − | 0.611506i | −0.963314 | − | 0.268376i | \(-0.913513\pi\) |
0.939288 | − | 0.343130i | \(-0.111487\pi\) | |||||||
\(678\) | 2.98182 | + | 0.234675i | 0.114516 | + | 0.00901262i | ||||
\(679\) | −11.8952 | + | 36.6098i | −0.456498 | + | 1.40496i | ||||
\(680\) | 12.7571 | − | 39.1528i | 0.489212 | − | 1.50144i | ||||
\(681\) | − | 8.19089i | − | 0.313875i | ||||||
\(682\) | −5.68464 | − | 15.8931i | −0.217676 | − | 0.608577i | ||||
\(683\) | 0.450435 | − | 0.674124i | 0.0172354 | − | 0.0257946i | −0.822752 | − | 0.568401i | \(-0.807562\pi\) |
0.839987 | + | 0.542606i | \(0.182562\pi\) | |||||||
\(684\) | −0.136933 | + | 0.0216881i | −0.00523576 | + | 0.000829263i | ||||
\(685\) | −24.6235 | − | 2.91438i | −0.940814 | − | 0.111353i | ||||
\(686\) | 1.76640 | − | 2.24067i | 0.0674416 | − | 0.0855492i | ||||
\(687\) | 1.48290 | + | 3.21665i | 0.0565760 | + | 0.122723i | ||||
\(688\) | −2.22052 | − | 1.36073i | −0.0846564 | − | 0.0518775i | ||||
\(689\) | 5.52810 | + | 6.47257i | 0.210604 | + | 0.246585i | ||||
\(690\) | 5.47429 | + | 3.06575i | 0.208403 | + | 0.116711i | ||||
\(691\) | 25.4345 | + | 0.999323i | 0.967572 | + | 0.0380160i | 0.518138 | − | 0.855297i | \(-0.326625\pi\) |
0.449435 | + | 0.893313i | \(0.351625\pi\) | |||||||
\(692\) | 2.26610 | + | 11.3925i | 0.0861444 | + | 0.433077i | ||||
\(693\) | −22.9401 | + | 28.5126i | −0.871424 | + | 1.08310i | ||||
\(694\) | 48.9602 | + | 32.7142i | 1.85850 | + | 1.24181i | ||||
\(695\) | −24.7983 | + | 15.1964i | −0.940654 | + | 0.576434i | ||||
\(696\) | −4.51009 | − | 1.46542i | −0.170954 | − | 0.0555465i | ||||
\(697\) | 46.1434 | + | 7.34726i | 1.74781 | + | 0.278297i | ||||
\(698\) | 32.5557 | − | 23.6531i | 1.23225 | − | 0.895282i | ||||
\(699\) | 1.44691 | − | 0.347372i | 0.0547272 | − | 0.0131388i | ||||
\(700\) | −32.7709 | + | 116.197i | −1.23862 | + | 4.39183i | ||||
\(701\) | −0.813297 | − | 1.59619i | −0.0307178 | − | 0.0602871i | 0.875138 | − | 0.483874i | \(-0.160771\pi\) |
−0.905855 | + | 0.423587i | \(0.860771\pi\) | |||||||
\(702\) | −6.41409 | + | 13.9132i | −0.242084 | + | 0.525121i | ||||
\(703\) | −0.000907738 | 0 | 0.000606531i | −3.42360e−5 | 0 | 2.28757e-5i | ||||
\(704\) | −16.9501 | + | 39.7989i | −0.638831 | + | 1.49998i | ||||
\(705\) | −3.05894 | + | 1.26705i | −0.115206 | + | 0.0477200i | ||||
\(706\) | −4.93836 | − | 1.18559i | −0.185857 | − | 0.0446204i | ||||
\(707\) | −4.71057 | + | 8.41133i | −0.177159 | + | 0.316341i | ||||
\(708\) | 8.69839 | + | 6.85726i | 0.326906 | + | 0.257712i | ||||
\(709\) | 5.25131 | − | 5.68084i | 0.197217 | − | 0.213348i | −0.627924 | − | 0.778274i | \(-0.716095\pi\) |
0.825142 | + | 0.564926i | \(0.191095\pi\) | |||||||
\(710\) | −38.8707 | − | 6.15651i | −1.45879 | − | 0.231050i | ||||
\(711\) | 30.1260 | + | 8.49641i | 1.12981 | + | 0.318640i | ||||
\(712\) | −7.27594 | − | 6.21424i | −0.272677 | − | 0.232888i | ||||
\(713\) | 3.21027 | − | 4.41856i | 0.120226 | − | 0.165476i | ||||
\(714\) | −1.20677 | − | 10.2682i | −0.0451622 | − | 0.384278i | ||||
\(715\) | 20.7032 | + | 46.1074i | 0.774257 | + | 1.72432i | ||||
\(716\) | 3.70491 | − | 8.94444i | 0.138459 | − | 0.334269i | ||||
\(717\) | 1.05615 | + | 2.86282i | 0.0394426 | + | 0.106914i | ||||
\(718\) | 10.3865 | − | 5.29219i | 0.387621 | − | 0.197503i | ||||
\(719\) | 29.5055 | − | 16.5239i | 1.10037 | − | 0.616237i | 0.170957 | − | 0.985278i | \(-0.445314\pi\) |
0.929413 | + | 0.369041i | \(0.120314\pi\) | |||||||
\(720\) | 4.86793 | + | 1.79587i | 0.181417 | + | 0.0669283i | ||||
\(721\) | 42.6661 | − | 19.6693i | 1.58897 | − | 0.732524i | ||||
\(722\) | 32.7276 | − | 27.9520i | 1.21800 | − | 1.04027i | ||||
\(723\) | −0.491839 | − | 6.24941i | −0.0182917 | − | 0.232418i | ||||
\(724\) | 3.63284 | + | 3.92998i | 0.135013 | + | 0.146057i | ||||
\(725\) | 35.8011 | + | 53.5801i | 1.32962 | + | 1.98992i | ||||
\(726\) | 7.25089 | − | 0.712524i | 0.269106 | − | 0.0264442i | ||||
\(727\) | 11.8726 | − | 11.8726i | 0.440330 | − | 0.440330i | −0.451793 | − | 0.892123i | \(-0.649215\pi\) |
0.892123 | + | 0.451793i | \(0.149215\pi\) | |||||||
\(728\) | 35.6028 | − | 13.1346i | 1.31953 | − | 0.486800i | ||||
\(729\) | −14.6076 | + | 17.1034i | −0.541024 | + | 0.633457i | ||||
\(730\) | 75.9265 | − | 24.6700i | 2.81016 | − | 0.913078i | ||||
\(731\) | 15.9393 | + | 17.2715i | 0.589536 | + | 0.638808i | ||||
\(732\) | 5.61768 | + | 7.73208i | 0.207635 | + | 0.285786i | ||||
\(733\) | −1.31470 | + | 16.7048i | −0.0485594 | + | 0.617006i | 0.923702 | + | 0.383111i | \(0.125147\pi\) |
−0.972262 | + | 0.233895i | \(0.924853\pi\) | |||||||
\(734\) | 36.2250 | − | 28.5575i | 1.33709 | − | 1.05408i | ||||
\(735\) | 1.30692 | + | 8.25157i | 0.0482065 | + | 0.304364i | ||||
\(736\) | −14.6900 | + | 2.92202i | −0.541480 | + | 0.107707i | ||||
\(737\) | 12.9270 | + | 8.09929i | 0.476171 | + | 0.298341i | ||||
\(738\) | 14.5963 | − | 73.3806i | 0.537298 | − | 2.70118i | ||||
\(739\) | 9.67948 | − | 40.3179i | 0.356065 | − | 1.48312i | −0.450929 | − | 0.892560i | \(-0.648907\pi\) |
0.806994 | − | 0.590559i | \(-0.201093\pi\) | |||||||
\(740\) | −0.874242 | + | 0.0688044i | −0.0321378 | + | 0.00252930i | ||||
\(741\) | 0.00204168 | + | 0.0172500i | 7.50028e−5 | + | 0.000633696i | ||||
\(742\) | −6.46054 | + | 17.5121i | −0.237174 | + | 0.642888i | ||||
\(743\) | −0.410018 | − | 0.379017i | −0.0150421 | − | 0.0139048i | 0.671244 | − | 0.741236i | \(-0.265760\pi\) |
−0.686286 | + | 0.727332i | \(0.740760\pi\) | |||||||
\(744\) | 0.764371 | − | 1.50016i | 0.0280232 | − | 0.0549986i | ||||
\(745\) | −5.50704 | − | 6.98564i | −0.201762 | − | 0.255934i | ||||
\(746\) | 0.651085 | + | 1.06247i | 0.0238379 | + | 0.0389000i | ||||
\(747\) | −18.2789 | −0.668792 | ||||||||
\(748\) | 26.8709 | − | 33.3420i | 0.982496 | − | 1.21910i | ||||
\(749\) | 9.93496 | 0.363015 | ||||||||
\(750\) | −6.99027 | − | 11.4071i | −0.255249 | − | 0.416528i | ||||
\(751\) | −26.3427 | − | 33.4156i | −0.961259 | − | 1.21935i | −0.975623 | − | 0.219454i | \(-0.929572\pi\) |
0.0143642 | − | 0.999897i | \(-0.495428\pi\) | |||||||
\(752\) | 0.602766 | − | 1.18299i | 0.0219806 | − | 0.0431394i | ||||
\(753\) | −0.934992 | − | 0.864298i | −0.0340730 | − | 0.0314968i | ||||
\(754\) | 19.4029 | − | 52.5939i | 0.706612 | − | 1.91536i | ||||
\(755\) | −3.14291 | − | 26.5543i | −0.114382 | − | 0.966410i | ||||
\(756\) | −20.4387 | + | 1.60856i | −0.743349 | + | 0.0585028i | ||||
\(757\) | 6.50537 | − | 27.0968i | 0.236442 | − | 0.984851i | −0.720242 | − | 0.693723i | \(-0.755969\pi\) |
0.956684 | − | 0.291128i | \(-0.0940306\pi\) | |||||||
\(758\) | −4.63102 | + | 23.2817i | −0.168206 | + | 0.845629i | ||||
\(759\) | 1.51320 | + | 1.80777i | 0.0549257 | + | 0.0656179i | ||||
\(760\) | −0.148798 | + | 0.0295978i | −0.00539748 | + | 0.00107363i | ||||
\(761\) | −4.13928 | − | 26.1344i | −0.150049 | − | 0.947370i | −0.941714 | − | 0.336415i | \(-0.890786\pi\) |
0.791665 | − | 0.610955i | \(-0.209214\pi\) | |||||||
\(762\) | 2.58719 | − | 2.03958i | 0.0937242 | − | 0.0738862i | ||||
\(763\) | −0.363464 | + | 4.61824i | −0.0131583 | + | 0.167192i | ||||
\(764\) | 40.4387 | + | 55.6591i | 1.46302 | + | 2.01367i | ||||
\(765\) | −37.8596 | − | 27.5542i | −1.36882 | − | 0.996222i | ||||
\(766\) | −57.7184 | + | 18.7539i | −2.08545 | + | 0.677604i | ||||
\(767\) | −30.7253 | + | 35.9747i | −1.10943 | + | 1.29897i | ||||
\(768\) | −3.54692 | + | 1.30853i | −0.127988 | + | 0.0472174i | ||||
\(769\) | 33.9301 | − | 33.9301i | 1.22355 | − | 1.22355i | 0.257191 | − | 0.966361i | \(-0.417203\pi\) |
0.966361 | − | 0.257191i | \(-0.0827970\pi\) | |||||||
\(770\) | −66.0330 | + | 89.0145i | −2.37966 | + | 3.20786i | ||||
\(771\) | −3.20954 | − | 4.80341i | −0.115589 | − | 0.172991i | ||||
\(772\) | 49.8630 | + | 53.9415i | 1.79461 | + | 1.94140i | ||||
\(773\) | −2.41443 | − | 30.6782i | −0.0868409 | − | 1.10342i | −0.873759 | − | 0.486360i | \(-0.838324\pi\) |
0.786918 | − | 0.617058i | \(-0.211676\pi\) | |||||||
\(774\) | 28.6167 | − | 24.4410i | 1.02861 | − | 0.878512i | ||||
\(775\) | −20.7774 | + | 9.57850i | −0.746345 | + | 0.344070i | ||||
\(776\) | −24.4500 | − | 9.02007i | −0.877703 | − | 0.323802i | ||||
\(777\) | −0.0694113 | + | 0.0388722i | −0.00249012 | + | 0.00139453i | ||||
\(778\) | −61.6955 | + | 31.4354i | −2.21189 | + | 1.12701i | ||||
\(779\) | −0.0595828 | − | 0.161506i | −0.00213477 | − | 0.00578656i | ||||
\(780\) | −5.33961 | + | 12.8909i | −0.191189 | + | 0.461570i | ||||
\(781\) | −12.8295 | − | 7.35315i | −0.459076 | − | 0.263116i | ||||
\(782\) | 22.6343 | + | 1.80007i | 0.809400 | + | 0.0643704i | ||||
\(783\) | −6.43215 | + | 8.85309i | −0.229866 | + | 0.316384i | ||||
\(784\) | −2.54747 | − | 2.17574i | −0.0909810 | − | 0.0777051i | ||||
\(785\) | −17.1970 | − | 4.85005i | −0.613786 | − | 0.173106i | ||||
\(786\) | −4.04908 | − | 0.641312i | −0.144426 | − | 0.0228748i | ||||
\(787\) | −13.2278 | + | 14.3097i | −0.471519 | + | 0.510087i | −0.924369 | − | 0.381500i | \(-0.875408\pi\) |
0.452849 | + | 0.891587i | \(0.350408\pi\) | |||||||
\(788\) | −16.9575 | − | 13.3682i | −0.604084 | − | 0.476222i | ||||
\(789\) | −0.687767 | + | 1.22810i | −0.0244851 | + | 0.0437214i | ||||
\(790\) | 92.1798 | + | 22.1304i | 3.27961 | + | 0.787365i | ||||
\(791\) | −15.7949 | + | 6.54246i | −0.561602 | + | 0.232623i | ||||
\(792\) | −18.6787 | − | 16.2766i | −0.663719 | − | 0.578364i | ||||
\(793\) | −33.9424 | + | 22.6796i | −1.20533 | + | 0.805376i | ||||
\(794\) | −25.1394 | + | 54.5316i | −0.892165 | + | 1.93526i | ||||
\(795\) | −1.12580 | − | 2.20951i | −0.0399280 | − | 0.0783632i | ||||
\(796\) | −14.4245 | + | 51.1455i | −0.511263 | + | 1.81280i | ||||
\(797\) | −44.0881 | + | 10.5846i | −1.56168 | + | 0.374926i | −0.919960 | − | 0.392012i | \(-0.871779\pi\) |
−0.641721 | + | 0.766938i | \(0.721779\pi\) | |||||||
\(798\) | −0.0308165 | + | 0.0223895i | −0.00109089 | + | 0.000792579i | ||||
\(799\) | −8.14057 | + | 8.79192i | −0.287993 | + | 0.311036i | ||||
\(800\) | 59.6715 | + | 19.3884i | 2.10971 | + | 0.685485i | ||||
\(801\) | −9.27715 | + | 5.68505i | −0.327792 | + | 0.200871i | ||||
\(802\) | −66.5911 | − | 44.4947i | −2.35141 | − | 1.57116i | ||||
\(803\) | 29.9605 | + | 1.47520i | 1.05728 | + | 0.0520587i | ||||
\(804\) | 0.821588 | + | 4.13040i | 0.0289752 | + | 0.145668i | ||||
\(805\) | −35.8350 | − | 1.40796i | −1.26302 | − | 0.0496241i | ||||
\(806\) | 17.3655 | + | 9.72512i | 0.611672 | + | 0.342553i | ||||
\(807\) | −3.46685 | − | 4.05916i | −0.122039 | − | 0.142889i | ||||
\(808\) | −5.56497 | − | 3.41022i | −0.195775 | − | 0.119971i | ||||
\(809\) | 14.0147 | + | 30.4001i | 0.492729 | + | 1.06881i | 0.980622 | + | 0.195909i | \(0.0627656\pi\) |
−0.487893 | + | 0.872903i | \(0.662234\pi\) | |||||||
\(810\) | −45.0174 | + | 57.1043i | −1.58175 | + | 2.00644i | ||||
\(811\) | −20.1688 | − | 2.38714i | −0.708223 | − | 0.0838238i | −0.244301 | − | 0.969699i | \(-0.578558\pi\) |
−0.463923 | + | 0.885876i | \(0.653558\pi\) | |||||||
\(812\) | 74.0943 | − | 11.7354i | 2.60020 | − | 0.411831i | ||||
\(813\) | −4.84705 | + | 7.25413i | −0.169994 | + | 0.254413i | ||||
\(814\) | −0.518198 | − | 0.151717i | −0.0181628 | − | 0.00531768i | ||||
\(815\) | − | 15.8661i | − | 0.555766i | ||||||
\(816\) | −0.549131 | + | 0.0427636i | −0.0192234 | + | 0.00149703i | ||||
\(817\) | 0.0267576 | − | 0.0823514i | 0.000936129 | − | 0.00288111i | ||||
\(818\) | −22.6811 | − | 1.78504i | −0.793027 | − | 0.0624126i | ||||
\(819\) | −1.69413 | − | 43.1185i | −0.0591977 | − | 1.50668i | ||||
\(820\) | 21.6316 | − | 136.577i | 0.755409 | − | 4.76946i | ||||
\(821\) | 18.2784 | + | 32.6385i | 0.637921 | + | 1.13909i | 0.979920 | + | 0.199390i | \(0.0638959\pi\) |
−0.341999 | + | 0.939700i | \(0.611104\pi\) | |||||||
\(822\) | −1.14404 | − | 4.05647i | −0.0399030 | − | 0.141486i | ||||
\(823\) | −18.0516 | + | 16.6868i | −0.629241 | + | 0.581664i | −0.927961 | − | 0.372676i | \(-0.878440\pi\) |
0.298721 | + | 0.954341i | \(0.403440\pi\) | |||||||
\(824\) | 12.1721 | + | 29.3859i | 0.424034 | + | 1.02371i | ||||
\(825\) | −1.83038 | − | 9.70452i | −0.0637256 | − | 0.337868i | ||||
\(826\) | −101.751 | − | 20.2396i | −3.54038 | − | 0.704226i | ||||
\(827\) | −0.807400 | + | 20.5497i | −0.0280761 | + | 0.714583i | 0.919129 | + | 0.393956i | \(0.128894\pi\) |
−0.947205 | + | 0.320627i | \(0.896106\pi\) | |||||||
\(828\) | 2.60783 | − | 22.0334i | 0.0906282 | − | 0.765714i | ||||
\(829\) | −8.69032 | − | 4.42794i | −0.301827 | − | 0.153789i | 0.296517 | − | 0.955027i | \(-0.404175\pi\) |
−0.598345 | + | 0.801239i | \(0.704175\pi\) | |||||||
\(830\) | −55.3171 | + | 2.17342i | −1.92009 | + | 0.0754404i | ||||
\(831\) | −0.469052 | − | 1.95374i | −0.0162712 | − | 0.0677745i | ||||
\(832\) | −15.7624 | − | 48.5116i | −0.546463 | − | 1.68184i | ||||
\(833\) | 16.7762 | + | 25.1520i | 0.581260 | + | 0.871466i | ||||
\(834\) | −3.99955 | − | 2.90585i | −0.138493 | − | 0.100621i | ||||
\(835\) | −16.3270 | − | 6.76286i | −0.565019 | − | 0.234038i | ||||
\(836\) | −0.155573 | − | 0.0262263i | −0.00538061 | − | 0.000907054i | ||||
\(837\) | −2.74727 | − | 2.74727i | −0.0949595 | − | 0.0949595i | ||||
\(838\) | 47.2052 | + | 21.7619i | 1.63068 | + | 0.751753i | ||||
\(839\) | 21.0270 | − | 5.93022i | 0.725931 | − | 0.204734i | 0.111568 | − | 0.993757i | \(-0.464413\pi\) |
0.614364 | + | 0.789023i | \(0.289413\pi\) | |||||||
\(840\) | −10.9788 | + | 1.29943i | −0.378806 | + | 0.0448346i | ||||
\(841\) | 5.76904 | − | 9.41422i | 0.198932 | − | 0.324628i | ||||
\(842\) | 23.0486 | − | 37.6119i | 0.794308 | − | 1.29619i | ||||
\(843\) | 0.751991 | − | 0.0890040i | 0.0259000 | − | 0.00306546i | ||||
\(844\) | 63.0097 | − | 17.7706i | 2.16888 | − | 0.611688i | ||||
\(845\) | −8.11999 | − | 3.74337i | −0.279336 | − | 0.128776i | ||||
\(846\) | 13.5667 | + | 13.5667i | 0.466431 | + | 0.466431i | ||||
\(847\) | −35.0786 | + | 22.4443i | −1.20532 | + | 0.771195i | ||||
\(848\) | 0.918706 | + | 0.380540i | 0.0315485 | + | 0.0130678i | ||||
\(849\) | 2.91393 | + | 2.11709i | 0.100006 | + | 0.0726584i | ||||
\(850\) | −79.0417 | − | 52.9079i | −2.71111 | − | 1.81473i | ||||
\(851\) | −0.0539897 | − | 0.166163i | −0.00185074 | − | 0.00569600i | ||||
\(852\) | −0.952996 | − | 3.96951i | −0.0326491 | − | 0.135993i | ||||
\(853\) | −43.3039 | + | 1.70142i | −1.48270 | + | 0.0582554i | −0.767673 | − | 0.640842i | \(-0.778585\pi\) |
−0.715026 | + | 0.699098i | \(0.753585\pi\) | |||||||
\(854\) | −79.7612 | − | 40.6404i | −2.72937 | − | 1.39069i | ||||
\(855\) | −0.0202771 | + | 0.171320i | −0.000693461 | + | 0.00585903i | ||||
\(856\) | −0.264064 | + | 6.72089i | −0.00902554 | + | 0.229715i | ||||
\(857\) | 13.4284 | + | 2.67107i | 0.458705 | + | 0.0912421i | 0.419034 | − | 0.907971i | \(-0.362369\pi\) |
0.0396713 | + | 0.999213i | \(0.487369\pi\) | |||||||
\(858\) | −5.89403 | + | 6.25047i | −0.201219 | + | 0.213387i | ||||
\(859\) | −5.91680 | − | 14.2844i | −0.201879 | − | 0.487378i | 0.790222 | − | 0.612820i | \(-0.209965\pi\) |
−0.992101 | + | 0.125442i | \(0.959965\pi\) | |||||||
\(860\) | 51.0752 | − | 47.2134i | 1.74165 | − | 1.60996i | ||||
\(861\) | −3.40506 | − | 12.0734i | −0.116044 | − | 0.411462i | ||||
\(862\) | −27.4776 | − | 49.0649i | −0.935892 | − | 1.67116i | ||||
\(863\) | −5.56688 | + | 35.1479i | −0.189499 | + | 1.19645i | 0.691162 | + | 0.722700i | \(0.257099\pi\) |
−0.880660 | + | 0.473748i | \(0.842901\pi\) | |||||||
\(864\) | 0.418301 | + | 10.6465i | 0.0142309 | + | 0.362200i | ||||
\(865\) | 14.4094 | + | 1.13404i | 0.489933 | + | 0.0385585i | ||||
\(866\) | 3.02582 | − | 9.31253i | 0.102822 | − | 0.316453i | ||||
\(867\) | 4.87355 | + | 0.977738i | 0.165514 | + | 0.0332057i | ||||
\(868\) | 26.6344i | 0.904032i | ||||||||
\(869\) | 29.4189 | + | 20.0824i | 0.997968 | + | 0.681249i | ||||
\(870\) | −9.07332 | + | 13.5792i | −0.307614 | + | 0.460378i | ||||
\(871\) | −17.7663 | + | 2.81390i | −0.601987 | + | 0.0953453i | ||||
\(872\) | −3.11453 | − | 0.368629i | −0.105471 | − | 0.0124834i | ||||
\(873\) | −18.3463 | + | 23.2722i | −0.620929 | + | 0.787644i | ||||
\(874\) | −0.0350226 | − | 0.0759699i | −0.00118466 | − | 0.00256972i | ||||
\(875\) | 65.2009 | + | 39.9551i | 2.20419 | + | 1.35073i | ||||
\(876\) | 5.37817 | + | 6.29703i | 0.181712 | + | 0.212757i | ||||
\(877\) | 14.4413 | + | 8.08751i | 0.487648 | + | 0.273096i | 0.712978 | − | 0.701187i | \(-0.247346\pi\) |
−0.225330 | + | 0.974282i | \(0.572346\pi\) | |||||||
\(878\) | 12.0294 | + | 0.472637i | 0.405973 | + | 0.0159507i | ||||
\(879\) | 1.21339 | + | 6.10014i | 0.0409267 | + | 0.205753i | ||||
\(880\) | 4.60039 | + | 3.70131i | 0.155079 | + | 0.124771i | ||||
\(881\) | −11.9119 | − | 7.95930i | −0.401323 | − | 0.268156i | 0.338487 | − | 0.940971i | \(-0.390085\pi\) |
−0.739810 | + | 0.672815i | \(0.765085\pi\) | |||||||
\(882\) | 41.2777 | − | 25.2950i | 1.38989 | − | 0.851726i | ||||
\(883\) | −51.3838 | − | 16.6956i | −1.72920 | − | 0.561852i | −0.735868 | − | 0.677124i | \(-0.763226\pi\) |
−0.993334 | + | 0.115273i | \(0.963226\pi\) | |||||||
\(884\) | 1.94093 | + | 50.4568i | 0.0652806 | + | 1.69705i | ||||
\(885\) | 11.1505 | − | 8.10128i | 0.374819 | − | 0.272322i | ||||
\(886\) | 34.2710 | − | 8.22774i | 1.15136 | − | 0.276416i | ||||
\(887\) | −11.8642 | + | 42.0673i | −0.398361 | + | 1.41248i | 0.454687 | + | 0.890651i | \(0.349751\pi\) |
−0.853048 | + | 0.521832i | \(0.825249\pi\) | |||||||
\(888\) | −0.0244517 | − | 0.0479892i | −0.000820546 | − | 0.00161041i | ||||
\(889\) | −7.88359 | + | 17.1008i | −0.264407 | + | 0.573543i | ||||
\(890\) | −27.3993 | + | 18.3076i | −0.918425 | + | 0.613672i | ||||
\(891\) | −23.4364 | + | 14.0437i | −0.785148 | + | 0.470481i | ||||
\(892\) | 0.325784 | − | 0.134944i | 0.0109080 | − | 0.00451826i | ||||
\(893\) | 0.0429250 | + | 0.0103054i | 0.00143643 | + | 0.000344856i | ||||
\(894\) | 0.738807 | − | 1.31924i | 0.0247094 | − | 0.0441218i | ||||
\(895\) | −9.46071 | − | 7.45822i | −0.316237 | − | 0.249301i | ||||
\(896\) | 44.2611 | − | 47.8814i | 1.47866 | − | 1.59961i | ||||
\(897\) | −2.74565 | − | 0.434868i | −0.0916745 | − | 0.0145198i | ||||
\(898\) | 64.5420 | + | 18.2027i | 2.15379 | + | 0.607433i | ||||
\(899\) | 10.8102 | + | 9.23275i | 0.360539 | + | 0.307929i | ||||
\(900\) | −54.6304 | + | 75.1922i | −1.82101 | + | 2.50641i | ||||
\(901\) | −7.04287 | − | 5.56154i | −0.234632 | − | 0.185282i | ||||
\(902\) | 42.3372 | − | 73.8684i | 1.40967 | − | 2.45955i | ||||
\(903\) | 2.41467 | − | 5.82952i | 0.0803550 | − | 0.193994i | ||||
\(904\) | −4.00608 | − | 10.8590i | −0.133240 | − | 0.361164i | ||||
\(905\) | 5.93370 | − | 3.02337i | 0.197243 | − | 0.100500i | ||||
\(906\) | 3.96567 | − | 2.22088i | 0.131751 | − | 0.0737838i | ||||
\(907\) | 5.87378 | + | 2.16695i | 0.195036 | + | 0.0719525i | 0.441760 | − | 0.897133i | \(-0.354354\pi\) |
−0.246724 | + | 0.969086i | \(0.579354\pi\) | |||||||
\(908\) | −79.6649 | + | 36.7260i | −2.64377 | + | 1.21880i | ||||
\(909\) | −5.64349 | + | 4.82000i | −0.187183 | + | 0.159869i | ||||
\(910\) | −10.2538 | − | 130.287i | −0.339911 | − | 4.31897i | ||||
\(911\) | 13.2715 | + | 14.3570i | 0.439705 | + | 0.475670i | 0.914593 | − | 0.404376i | \(-0.132511\pi\) |
−0.474888 | + | 0.880046i | \(0.657511\pi\) | |||||||
\(912\) | 0.00112740 | + | 0.00168728i | 3.73321e−5 | + | 5.58714e-5i | ||||
\(913\) | −19.7181 | − | 6.62393i | −0.652572 | − | 0.219220i | ||||
\(914\) | 0.346831 | − | 0.346831i | 0.0114722 | − | 0.0114722i | ||||
\(915\) | 11.1576 | − | 4.11626i | 0.368859 | − | 0.136079i | ||||
\(916\) | 24.6363 | − | 28.8454i | 0.814006 | − | 0.953079i | ||||
\(917\) | 22.2855 | − | 7.24099i | 0.735931 | − | 0.239118i | ||||
\(918\) | 3.78353 | − | 15.7027i | 0.124875 | − | 0.518266i | ||||
\(919\) | −14.4411 | − | 19.8765i | −0.476369 | − | 0.655665i | 0.501433 | − | 0.865196i | \(-0.332806\pi\) |
−0.977802 | + | 0.209531i | \(0.932806\pi\) | |||||||
\(920\) | 1.90494 | − | 24.2046i | 0.0628041 | − | 0.798001i | ||||
\(921\) | −4.67032 | + | 3.68178i | −0.153892 | + | 0.121319i | ||||
\(922\) | 7.80477 | + | 49.2774i | 0.257037 | + | 1.62286i | ||||
\(923\) | 17.1016 | − | 3.40172i | 0.562907 | − | 0.111969i | ||||
\(924\) | −11.1518 | − | 2.79470i | −0.366868 | − | 0.0919390i | ||||
\(925\) | −0.142783 | + | 0.717819i | −0.00469468 | + | 0.0236018i | ||||
\(926\) | 3.10103 | − | 12.9167i | 0.101906 | − | 0.424469i | ||||
\(927\) | 36.0569 | − | 2.83774i | 1.18427 | − | 0.0932037i | ||||
\(928\) | −4.58234 | − | 38.7160i | −0.150423 | − | 1.27091i | ||||
\(929\) | 11.9474 | − | 32.3848i | 0.391981 | − | 1.06251i | −0.577295 | − | 0.816536i | \(-0.695892\pi\) |
0.969276 | − | 0.245976i | \(-0.0791084\pi\) | |||||||
\(930\) | −4.25788 | − | 3.93594i | −0.139621 | − | 0.129065i | ||||
\(931\) | 0.0505693 | − | 0.0992478i | 0.00165734 | − | 0.00325271i | ||||
\(932\) | −9.86617 | − | 12.5152i | −0.323177 | − | 0.409948i | ||||
\(933\) | 4.91135 | + | 8.01460i | 0.160790 | + | 0.262386i | ||||
\(934\) | 59.6518 | 1.95187 | ||||||||
\(935\) | −30.8552 | − | 43.4431i | −1.00907 | − | 1.42074i | ||||
\(936\) | 29.2142 | 0.954897 | ||||||||
\(937\) | 15.1745 | + | 24.7625i | 0.495728 | + | 0.808954i | 0.998459 | − | 0.0554883i | \(-0.0176715\pi\) |
−0.502731 | + | 0.864443i | \(0.667672\pi\) | |||||||
\(938\) | −24.4201 | − | 30.9768i | −0.797345 | − | 1.01143i | ||||
\(939\) | 0.391256 | − | 0.767883i | 0.0127681 | − | 0.0250589i | ||||
\(940\) | 26.0390 | + | 24.0702i | 0.849298 | + | 0.785083i | ||||
\(941\) | 3.37659 | − | 9.15266i | 0.110074 | − | 0.298368i | −0.871217 | − | 0.490897i | \(-0.836669\pi\) |
0.981291 | + | 0.192529i | \(0.0616690\pi\) | |||||||
\(942\) | −0.356981 | − | 3.01612i | −0.0116311 | − | 0.0982704i | ||||
\(943\) | 27.4645 | − | 2.16150i | 0.894366 | − | 0.0703882i | ||||
\(944\) | −1.29023 | + | 5.37419i | −0.0419934 | + | 0.174915i | ||||
\(945\) | −4.97704 | + | 25.0213i | −0.161903 | + | 0.813942i | ||||
\(946\) | 39.7266 | − | 15.9951i | 1.29162 | − | 0.520045i | ||||
\(947\) | 34.3588 | − | 6.83439i | 1.11651 | − | 0.222088i | 0.397852 | − | 0.917450i | \(-0.369756\pi\) |
0.718660 | + | 0.695362i | \(0.244756\pi\) | |||||||
\(948\) | 1.53830 | + | 9.71243i | 0.0499616 | + | 0.315445i | ||||
\(949\) | −27.7775 | + | 21.8980i | −0.901695 | + | 0.710839i | ||||
\(950\) | −0.0274943 | + | 0.349349i | −0.000892034 | + | 0.0113344i | ||||
\(951\) | −5.98290 | − | 8.23475i | −0.194009 | − | 0.267030i | ||||
\(952\) | −34.1297 | + | 20.8762i | −1.10615 | + | 0.676600i | ||||
\(953\) | −35.0350 | + | 11.3836i | −1.13489 | + | 0.368749i | −0.815434 | − | 0.578850i | \(-0.803502\pi\) |
−0.319460 | + | 0.947600i | \(0.603502\pi\) | |||||||
\(954\) | −9.33236 | + | 10.9268i | −0.302146 | + | 0.353768i | ||||
\(955\) | 80.3176 | − | 29.6307i | 2.59902 | − | 0.958828i | ||||
\(956\) | 23.1084 | − | 23.1084i | 0.747378 | − | 0.747378i | ||||
\(957\) | −5.00004 | + | 3.55743i | −0.161628 | + | 0.114995i | ||||
\(958\) | −9.42420 | − | 14.1043i | −0.304482 | − | 0.455690i | ||||
\(959\) | 16.3527 | + | 17.6902i | 0.528055 | + | 0.571246i | ||||
\(960\) | 1.16591 | + | 14.8143i | 0.0376297 | + | 0.478131i | ||||
\(961\) | 19.7345 | − | 16.8549i | 0.636598 | − | 0.543706i | ||||
\(962\) | 0.578205 | − | 0.266556i | 0.0186421 | − | 0.00859412i | ||||
\(963\) | 7.17560 | + | 2.64722i | 0.231231 | + | 0.0853055i | ||||
\(964\) | −58.5767 | + | 32.8045i | −1.88663 | + | 1.05656i | ||||
\(965\) | 81.4438 | − | 41.4977i | 2.62177 | − | 1.33586i | ||||
\(966\) | −2.10991 | − | 5.71915i | −0.0678851 | − | 0.184011i | ||||
\(967\) | 5.74867 | − | 13.8785i | 0.184865 | − | 0.446303i | −0.804093 | − | 0.594504i | \(-0.797348\pi\) |
0.988957 | + | 0.148201i | \(0.0473484\pi\) | |||||||
\(968\) | −14.2510 | − | 24.3269i | −0.458043 | − | 0.781895i | ||||
\(969\) | −0.00564479 | − | 0.0174216i | −0.000181337 | − | 0.000559662i | ||||
\(970\) | −52.7539 | + | 72.6095i | −1.69383 | + | 2.33135i | ||||
\(971\) | 22.4336 | + | 19.1601i | 0.719927 | + | 0.614876i | 0.932034 | − | 0.362371i | \(-0.118033\pi\) |
−0.212107 | + | 0.977246i | \(0.568033\pi\) | |||||||
\(972\) | −22.8958 | − | 6.45727i | −0.734382 | − | 0.207117i | ||||
\(973\) | 27.9095 | + | 4.42043i | 0.894738 | + | 0.141713i | ||||
\(974\) | 35.3199 | − | 38.2089i | 1.13172 | − | 1.22429i | ||||
\(975\) | 9.14498 | + | 7.20932i | 0.292874 | + | 0.230883i | ||||
\(976\) | −2.33023 | + | 4.16092i | −0.0745888 | + | 0.133188i | ||||
\(977\) | −44.1343 | − | 10.5957i | −1.41198 | − | 0.338986i | −0.545464 | − | 0.838135i | \(-0.683646\pi\) |
−0.866517 | + | 0.499148i | \(0.833646\pi\) | |||||||
\(978\) | 2.49163 | − | 1.03207i | 0.0796735 | − | 0.0330018i | ||||
\(979\) | −12.0677 | + | 2.77077i | −0.385685 | + | 0.0885543i | ||||
\(980\) | 74.3952 | − | 49.7093i | 2.37647 | − | 1.58791i | ||||
\(981\) | −1.49307 | + | 3.23872i | −0.0476700 | + | 0.103404i | ||||
\(982\) | −38.7755 | − | 76.1011i | −1.23737 | − | 2.42849i | ||||
\(983\) | −16.6677 | + | 59.0993i | −0.531617 | + | 1.88497i | −0.0707731 | + | 0.997492i | \(0.522547\pi\) |
−0.460844 | + | 0.887481i | \(0.652453\pi\) | |||||||
\(984\) | 8.25806 | − | 1.98258i | 0.263257 | − | 0.0632025i | ||||
\(985\) | −21.7378 | + | 15.7934i | −0.692622 | + | 0.503220i | ||||
\(986\) | −9.29348 | + | 58.3663i | −0.295965 | + | 1.85876i | ||||
\(987\) | 3.05941 | + | 0.994063i | 0.0973821 | + | 0.0316414i | ||||
\(988\) | 0.158620 | − | 0.0972025i | 0.00504638 | − | 0.00309243i | ||||
\(989\) | 11.5219 | + | 7.69871i | 0.366376 | + | 0.244805i | ||||
\(990\) | −71.4113 | + | 46.6966i | −2.26960 | + | 1.48412i | ||||
\(991\) | −7.35955 | − | 36.9990i | −0.233784 | − | 1.17531i | −0.902131 | − | 0.431462i | \(-0.857998\pi\) |
0.668347 | − | 0.743849i | \(-0.267002\pi\) | |||||||
\(992\) | 13.8310 | + | 0.543423i | 0.439136 | + | 0.0172537i | ||||
\(993\) | −1.19321 | − | 0.668232i | −0.0378655 | − | 0.0212057i | ||||
\(994\) | 24.8326 | + | 29.0753i | 0.787643 | + | 0.922211i | ||||
\(995\) | 56.3811 | + | 34.5504i | 1.78740 | + | 1.09532i | ||||
\(996\) | −2.40414 | − | 5.21498i | −0.0761780 | − | 0.165243i | ||||
\(997\) | 19.5089 | − | 24.7469i | 0.617852 | − | 0.783742i | −0.371632 | − | 0.928380i | \(-0.621202\pi\) |
0.989485 | + | 0.144638i | \(0.0462017\pi\) | |||||||
\(998\) | −8.16101 | − | 0.965919i | −0.258332 | − | 0.0305756i | ||||
\(999\) | −0.122756 | + | 0.0194426i | −0.00388382 | + | 0.000615136i |
(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 | 187.2.t.a.7.2 | ✓ | 512 | |
11.8 | odd | 10 | inner | 187.2.t.a.41.15 | yes | 512 | |
17.5 | odd | 16 | inner | 187.2.t.a.73.15 | yes | 512 | |
187.107 | even | 80 | inner | 187.2.t.a.107.2 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.t.a.7.2 | ✓ | 512 | 1.1 | even | 1 | trivial | |
187.2.t.a.41.15 | yes | 512 | 11.8 | odd | 10 | inner | |
187.2.t.a.73.15 | yes | 512 | 17.5 | odd | 16 | inner | |
187.2.t.a.107.2 | yes | 512 | 187.107 | even | 80 | inner |