Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(59,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.w (of order \(22\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(1320\) |
Relative dimension: | \(132\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 59.12 | ||
Character | \(\chi\) | \(=\) | 804.59 |
Dual form | 804.2.w.a.695.12 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33982 | + | 0.452629i | −0.947398 | + | 0.320057i | ||||
\(3\) | −0.379728 | + | 1.68991i | −0.219236 | + | 0.975672i | ||||
\(4\) | 1.59025 | − | 1.21289i | 0.795127 | − | 0.606443i | ||||
\(5\) | 2.40444 | − | 3.74138i | 1.07530 | − | 1.67319i | 0.449259 | − | 0.893402i | \(-0.351688\pi\) |
0.626038 | − | 0.779793i | \(-0.284676\pi\) | |||||||
\(6\) | −0.256136 | − | 2.43606i | −0.104567 | − | 0.994518i | ||||
\(7\) | −1.84812 | − | 0.265720i | −0.698525 | − | 0.100433i | −0.216101 | − | 0.976371i | \(-0.569334\pi\) |
−0.482423 | + | 0.875938i | \(0.660243\pi\) | |||||||
\(8\) | −1.58167 | + | 2.34485i | −0.559205 | + | 0.829029i | ||||
\(9\) | −2.71161 | − | 1.28341i | −0.903871 | − | 0.427805i | ||||
\(10\) | −1.52806 | + | 6.10110i | −0.483216 | + | 1.92934i | ||||
\(11\) | 1.18522 | + | 0.761693i | 0.357357 | + | 0.229659i | 0.706984 | − | 0.707230i | \(-0.250055\pi\) |
−0.349627 | + | 0.936889i | \(0.613692\pi\) | |||||||
\(12\) | 1.44581 | + | 3.14796i | 0.417369 | + | 0.908737i | ||||
\(13\) | −1.48640 | − | 3.25476i | −0.412254 | − | 0.902709i | −0.995879 | − | 0.0906867i | \(-0.971094\pi\) |
0.583626 | − | 0.812023i | \(-0.301633\pi\) | |||||||
\(14\) | 2.59643 | − | 0.480496i | 0.693925 | − | 0.128418i | ||||
\(15\) | 5.40957 | + | 5.48399i | 1.39674 | + | 1.41596i | ||||
\(16\) | 1.05781 | − | 3.85759i | 0.264453 | − | 0.964398i | ||||
\(17\) | 1.61770 | + | 5.50939i | 0.392350 | + | 1.33622i | 0.884836 | + | 0.465902i | \(0.154270\pi\) |
−0.492486 | + | 0.870321i | \(0.663912\pi\) | |||||||
\(18\) | 4.21399 | + | 0.492193i | 0.993248 | + | 0.116011i | ||||
\(19\) | 2.48280 | − | 0.356973i | 0.569593 | − | 0.0818952i | 0.148500 | − | 0.988912i | \(-0.452556\pi\) |
0.421093 | + | 0.907017i | \(0.361646\pi\) | |||||||
\(20\) | −0.714200 | − | 8.86605i | −0.159700 | − | 1.98251i | ||||
\(21\) | 1.15083 | − | 3.02227i | 0.251131 | − | 0.659512i | ||||
\(22\) | −1.93275 | − | 0.484070i | −0.412063 | − | 0.103204i | ||||
\(23\) | 0.504696 | + | 0.582450i | 0.105236 | + | 0.121449i | 0.805924 | − | 0.592019i | \(-0.201669\pi\) |
−0.700688 | + | 0.713468i | \(0.747123\pi\) | |||||||
\(24\) | −3.36199 | − | 3.56329i | −0.686263 | − | 0.727354i | ||||
\(25\) | −6.13951 | − | 13.4436i | −1.22790 | − | 2.68873i | ||||
\(26\) | 3.46472 | + | 3.68802i | 0.679487 | + | 0.723281i | ||||
\(27\) | 3.19853 | − | 4.09504i | 0.615558 | − | 0.788092i | ||||
\(28\) | −3.26127 | + | 1.81900i | −0.616322 | + | 0.343759i | ||||
\(29\) | − | 3.88926i | − | 0.722218i | −0.932524 | − | 0.361109i | \(-0.882398\pi\) | ||
0.932524 | − | 0.361109i | \(-0.117602\pi\) | |||||||
\(30\) | −9.73008 | − | 4.89905i | −1.77646 | − | 0.894441i | ||||
\(31\) | −9.51540 | − | 4.34554i | −1.70902 | − | 0.780482i | −0.996922 | − | 0.0783981i | \(-0.975019\pi\) |
−0.712094 | − | 0.702084i | \(-0.752253\pi\) | |||||||
\(32\) | 0.328775 | + | 5.64729i | 0.0581198 | + | 0.998310i | ||||
\(33\) | −1.73726 | + | 1.71368i | −0.302417 | + | 0.298313i | ||||
\(34\) | −4.66115 | − | 6.64939i | −0.799380 | − | 1.14036i | ||||
\(35\) | −5.43785 | + | 6.27562i | −0.919165 | + | 1.06077i | ||||
\(36\) | −5.86879 | + | 1.24793i | −0.978131 | + | 0.207988i | ||||
\(37\) | 5.04960 | 0.830149 | 0.415075 | − | 0.909787i | \(-0.363756\pi\) | ||||
0.415075 | + | 0.909787i | \(0.363756\pi\) | |||||||
\(38\) | −3.16494 | + | 1.60207i | −0.513421 | + | 0.259890i | ||||
\(39\) | 6.06470 | − | 1.27596i | 0.971129 | − | 0.204318i | ||||
\(40\) | 4.96993 | + | 11.5557i | 0.785815 | + | 1.82711i | ||||
\(41\) | −1.06981 | − | 3.64343i | −0.167076 | − | 0.569008i | −0.999881 | − | 0.0154412i | \(-0.995085\pi\) |
0.832805 | − | 0.553566i | \(-0.186733\pi\) | |||||||
\(42\) | −0.173939 | + | 4.57020i | −0.0268394 | + | 0.705197i | ||||
\(43\) | −1.02654 | − | 3.49608i | −0.156546 | − | 0.533146i | 0.843446 | − | 0.537214i | \(-0.180523\pi\) |
−0.999992 | + | 0.00406782i | \(0.998705\pi\) | |||||||
\(44\) | 2.80864 | − | 0.226249i | 0.423419 | − | 0.0341083i | ||||
\(45\) | −11.3216 | + | 7.05928i | −1.68773 | + | 1.05234i | ||||
\(46\) | −0.939838 | − | 0.551940i | −0.138571 | − | 0.0813792i | ||||
\(47\) | −2.96778 | − | 3.42500i | −0.432895 | − | 0.499588i | 0.496827 | − | 0.867850i | \(-0.334498\pi\) |
−0.929722 | + | 0.368262i | \(0.879953\pi\) | |||||||
\(48\) | 6.11732 | + | 3.25245i | 0.882959 | + | 0.469451i | ||||
\(49\) | −3.37150 | − | 0.989962i | −0.481643 | − | 0.141423i | ||||
\(50\) | 14.3108 | + | 15.2332i | 2.02386 | + | 2.15430i | ||||
\(51\) | −9.92467 | + | 0.641709i | −1.38973 | + | 0.0898573i | ||||
\(52\) | −6.31141 | − | 3.37307i | −0.875236 | − | 0.467760i | ||||
\(53\) | 0.936205 | − | 3.18842i | 0.128598 | − | 0.437963i | −0.869871 | − | 0.493279i | \(-0.835798\pi\) |
0.998469 | + | 0.0553155i | \(0.0176165\pi\) | |||||||
\(54\) | −2.43193 | + | 6.93439i | −0.330944 | + | 0.943650i | ||||
\(55\) | 5.69956 | − | 2.60290i | 0.768529 | − | 0.350975i | ||||
\(56\) | 3.54620 | − | 3.91329i | 0.473880 | − | 0.522935i | ||||
\(57\) | −0.339535 | + | 4.33127i | −0.0449725 | + | 0.573691i | ||||
\(58\) | 1.76039 | + | 5.21093i | 0.231151 | + | 0.684228i | ||||
\(59\) | 4.92372 | − | 10.7815i | 0.641014 | − | 1.40363i | −0.258189 | − | 0.966094i | \(-0.583126\pi\) |
0.899203 | − | 0.437531i | \(-0.144147\pi\) | |||||||
\(60\) | 15.2540 | + | 2.15975i | 1.96929 | + | 0.278822i | ||||
\(61\) | 8.17315 | − | 5.25256i | 1.04646 | − | 0.672522i | 0.0998868 | − | 0.994999i | \(-0.468152\pi\) |
0.946577 | + | 0.322477i | \(0.104516\pi\) | |||||||
\(62\) | 14.7159 | + | 1.51531i | 1.86892 | + | 0.192444i | ||||
\(63\) | 4.67037 | + | 3.09244i | 0.588411 | + | 0.389610i | ||||
\(64\) | −2.99663 | − | 7.41756i | −0.374579 | − | 0.927195i | ||||
\(65\) | −15.7513 | − | 2.26469i | −1.95370 | − | 0.280900i | ||||
\(66\) | 1.55195 | − | 3.08236i | 0.191032 | − | 0.379412i | ||||
\(67\) | −4.50769 | − | 6.83233i | −0.550702 | − | 0.834702i | ||||
\(68\) | 9.25482 | + | 6.79924i | 1.12231 | + | 0.824529i | ||||
\(69\) | −1.17594 | + | 0.631720i | −0.141566 | + | 0.0760502i | ||||
\(70\) | 4.44523 | − | 10.8695i | 0.531307 | − | 1.29916i | ||||
\(71\) | 5.05955 | + | 1.48562i | 0.600458 | + | 0.176310i | 0.567814 | − | 0.823157i | \(-0.307789\pi\) |
0.0326438 | + | 0.999467i | \(0.489607\pi\) | |||||||
\(72\) | 7.29829 | − | 4.32838i | 0.860112 | − | 0.510105i | ||||
\(73\) | −4.10190 | + | 2.63613i | −0.480091 | + | 0.308536i | −0.758210 | − | 0.652011i | \(-0.773926\pi\) |
0.278118 | + | 0.960547i | \(0.410289\pi\) | |||||||
\(74\) | −6.76557 | + | 2.28560i | −0.786482 | + | 0.265695i | ||||
\(75\) | 25.0499 | − | 5.27031i | 2.89252 | − | 0.608563i | ||||
\(76\) | 3.51532 | − | 3.57903i | 0.403234 | − | 0.410543i | ||||
\(77\) | −1.98803 | − | 1.72264i | −0.226557 | − | 0.196313i | ||||
\(78\) | −7.54809 | + | 4.45463i | −0.854652 | + | 0.504387i | ||||
\(79\) | −4.25031 | + | 1.94105i | −0.478197 | + | 0.218385i | −0.639906 | − | 0.768453i | \(-0.721027\pi\) |
0.161709 | + | 0.986839i | \(0.448299\pi\) | |||||||
\(80\) | −11.8893 | − | 13.2330i | −1.32926 | − | 1.47950i | ||||
\(81\) | 5.70570 | + | 6.96025i | 0.633966 | + | 0.773361i | ||||
\(82\) | 3.08247 | + | 4.39732i | 0.340402 | + | 0.485603i | ||||
\(83\) | 6.87622 | + | 4.41908i | 0.754763 | + | 0.485057i | 0.860572 | − | 0.509330i | \(-0.170107\pi\) |
−0.105808 | + | 0.994387i | \(0.533743\pi\) | |||||||
\(84\) | −1.83556 | − | 6.20199i | −0.200276 | − | 0.676693i | ||||
\(85\) | 24.5024 | + | 7.19454i | 2.65765 | + | 0.780358i | ||||
\(86\) | 2.95781 | + | 4.21948i | 0.318949 | + | 0.454998i | ||||
\(87\) | 6.57252 | + | 1.47686i | 0.704648 | + | 0.158336i | ||||
\(88\) | −3.66068 | + | 1.57441i | −0.390230 | + | 0.167832i | ||||
\(89\) | 1.44515 | + | 1.25223i | 0.153186 | + | 0.132736i | 0.728082 | − | 0.685490i | \(-0.240412\pi\) |
−0.574896 | + | 0.818226i | \(0.694958\pi\) | |||||||
\(90\) | 11.9738 | − | 14.5827i | 1.26214 | − | 1.53715i | ||||
\(91\) | 1.88220 | + | 6.41017i | 0.197308 | + | 0.671968i | ||||
\(92\) | 1.50904 | + | 0.314105i | 0.157328 | + | 0.0327477i | ||||
\(93\) | 10.9568 | − | 14.4301i | 1.13617 | − | 1.49633i | ||||
\(94\) | 5.52656 | + | 3.24559i | 0.570021 | + | 0.334757i | ||||
\(95\) | 4.63417 | − | 10.1474i | 0.475455 | − | 1.04110i | ||||
\(96\) | −9.66828 | − | 1.58883i | −0.986765 | − | 0.162159i | ||||
\(97\) | −7.14998 | −0.725970 | −0.362985 | − | 0.931795i | \(-0.618242\pi\) | ||||
−0.362985 | + | 0.931795i | \(0.618242\pi\) | |||||||
\(98\) | 4.96530 | − | 0.199665i | 0.501571 | − | 0.0201692i | ||||
\(99\) | −2.23629 | − | 3.58654i | −0.224755 | − | 0.360461i | ||||
\(100\) | −26.0690 | − | 13.9323i | −2.60690 | − | 1.39323i | ||||
\(101\) | 2.73886 | − | 0.393789i | 0.272527 | − | 0.0391835i | −0.00469627 | − | 0.999989i | \(-0.501495\pi\) |
0.277223 | + | 0.960805i | \(0.410586\pi\) | |||||||
\(102\) | 13.0069 | − | 5.35197i | 1.28787 | − | 0.529924i | ||||
\(103\) | 9.43754 | + | 4.30998i | 0.929909 | + | 0.424675i | 0.822001 | − | 0.569486i | \(-0.192858\pi\) |
0.107908 | + | 0.994161i | \(0.465585\pi\) | |||||||
\(104\) | 9.98293 | + | 1.66258i | 0.978907 | + | 0.163030i | ||||
\(105\) | −8.54034 | − | 11.5725i | −0.833452 | − | 1.12936i | ||||
\(106\) | 0.188823 | + | 4.69567i | 0.0183401 | + | 0.456084i | ||||
\(107\) | −5.95498 | + | 3.82703i | −0.575689 | + | 0.369973i | −0.795853 | − | 0.605490i | \(-0.792977\pi\) |
0.220164 | + | 0.975463i | \(0.429341\pi\) | |||||||
\(108\) | 0.119656 | − | 10.3916i | 0.0115139 | − | 0.999934i | ||||
\(109\) | 1.65304 | + | 3.61965i | 0.158333 | + | 0.346700i | 0.972128 | − | 0.234452i | \(-0.0753295\pi\) |
−0.813795 | + | 0.581152i | \(0.802602\pi\) | |||||||
\(110\) | −6.45826 | + | 6.06722i | −0.615771 | + | 0.578487i | ||||
\(111\) | −1.91747 | + | 8.53339i | −0.181998 | + | 0.809953i | ||||
\(112\) | −2.98001 | + | 6.84822i | −0.281584 | + | 0.647096i | ||||
\(113\) | 9.73248 | + | 15.1440i | 0.915555 | + | 1.42463i | 0.905342 | + | 0.424683i | \(0.139614\pi\) |
0.0102127 | + | 0.999948i | \(0.496749\pi\) | |||||||
\(114\) | −1.50554 | − | 5.95682i | −0.141007 | − | 0.557907i | ||||
\(115\) | 3.39268 | − | 0.487793i | 0.316369 | − | 0.0454869i | ||||
\(116\) | −4.71723 | − | 6.18492i | −0.437984 | − | 0.574255i | ||||
\(117\) | −0.146664 | + | 10.7333i | −0.0135591 | + | 0.992297i | ||||
\(118\) | −1.71692 | + | 16.6739i | −0.158055 | + | 1.53495i | ||||
\(119\) | −1.52576 | − | 10.6119i | −0.139866 | − | 0.972789i | ||||
\(120\) | −21.4153 | + | 4.01075i | −1.95494 | + | 0.366129i | ||||
\(121\) | −3.74500 | − | 8.20041i | −0.340455 | − | 0.745492i | ||||
\(122\) | −8.57311 | + | 10.7369i | −0.776173 | + | 0.972074i | ||||
\(123\) | 6.56331 | − | 0.424370i | 0.591794 | − | 0.0382642i | ||||
\(124\) | −20.4025 | + | 4.63059i | −1.83220 | + | 0.415839i | ||||
\(125\) | −43.0492 | − | 6.18954i | −3.85044 | − | 0.553609i | ||||
\(126\) | −7.65719 | − | 2.02937i | −0.682157 | − | 0.180791i | ||||
\(127\) | 9.88329 | + | 1.42100i | 0.877000 | + | 0.126094i | 0.566088 | − | 0.824345i | \(-0.308456\pi\) |
0.310913 | + | 0.950439i | \(0.399365\pi\) | |||||||
\(128\) | 7.37236 | + | 8.58186i | 0.651631 | + | 0.758536i | ||||
\(129\) | 6.29787 | − | 0.407207i | 0.554496 | − | 0.0358526i | ||||
\(130\) | 22.1290 | − | 4.09519i | 1.94084 | − | 0.359172i | ||||
\(131\) | −10.3802 | − | 11.9794i | −0.906926 | − | 1.04665i | −0.998705 | − | 0.0508688i | \(-0.983801\pi\) |
0.0917795 | − | 0.995779i | \(-0.470745\pi\) | |||||||
\(132\) | −0.684179 | + | 4.83228i | −0.0595502 | + | 0.420596i | ||||
\(133\) | −4.68337 | −0.406100 | ||||||||
\(134\) | 9.13202 | + | 7.11380i | 0.788886 | + | 0.614539i | ||||
\(135\) | −7.63043 | − | 21.8132i | −0.656723 | − | 1.87738i | ||||
\(136\) | −15.4774 | − | 4.92078i | −1.32717 | − | 0.421953i | ||||
\(137\) | −1.81980 | + | 1.57686i | −0.155476 | + | 0.134721i | −0.729125 | − | 0.684380i | \(-0.760073\pi\) |
0.573649 | + | 0.819101i | \(0.305527\pi\) | |||||||
\(138\) | 1.28961 | − | 1.37866i | 0.109779 | − | 0.117359i | ||||
\(139\) | −11.5619 | + | 17.9907i | −0.980670 | + | 1.52595i | −0.135970 | + | 0.990713i | \(0.543415\pi\) |
−0.844700 | + | 0.535240i | \(0.820221\pi\) | |||||||
\(140\) | −1.03596 | + | 16.5753i | −0.0875543 | + | 1.40087i | ||||
\(141\) | 6.91490 | − | 3.71472i | 0.582340 | − | 0.312836i | ||||
\(142\) | −7.45134 | + | 0.299634i | −0.625302 | + | 0.0251447i | ||||
\(143\) | 0.717423 | − | 4.98979i | 0.0599939 | − | 0.417267i | ||||
\(144\) | −7.81927 | + | 9.10269i | −0.651606 | + | 0.758558i | ||||
\(145\) | −14.5512 | − | 9.35149i | −1.20841 | − | 0.776599i | ||||
\(146\) | 4.30263 | − | 5.38859i | 0.356088 | − | 0.445963i | ||||
\(147\) | 2.95320 | − | 5.32163i | 0.243576 | − | 0.438920i | ||||
\(148\) | 8.03014 | − | 6.12459i | 0.660074 | − | 0.503438i | ||||
\(149\) | 9.09974 | − | 1.30834i | 0.745480 | − | 0.107184i | 0.240901 | − | 0.970550i | \(-0.422557\pi\) |
0.504578 | + | 0.863366i | \(0.331648\pi\) | |||||||
\(150\) | −31.1770 | + | 18.3996i | −2.54559 | + | 1.50232i | ||||
\(151\) | 1.15709 | + | 3.94070i | 0.0941629 | + | 0.320689i | 0.993082 | − | 0.117426i | \(-0.0374643\pi\) |
−0.898919 | + | 0.438115i | \(0.855646\pi\) | |||||||
\(152\) | −3.08993 | + | 6.38640i | −0.250626 | + | 0.518006i | ||||
\(153\) | 2.68424 | − | 17.0155i | 0.217008 | − | 1.37562i | ||||
\(154\) | 3.44333 | + | 1.40819i | 0.277471 | + | 0.113475i | ||||
\(155\) | −39.1375 | + | 25.1521i | −3.14360 | + | 2.02027i | ||||
\(156\) | 8.09681 | − | 9.38490i | 0.648263 | − | 0.751393i | ||||
\(157\) | −2.74875 | − | 3.17223i | −0.219374 | − | 0.253171i | 0.635386 | − | 0.772195i | \(-0.280841\pi\) |
−0.854760 | + | 0.519024i | \(0.826296\pi\) | |||||||
\(158\) | 4.81609 | − | 4.52448i | 0.383147 | − | 0.359948i | ||||
\(159\) | 5.03265 | + | 2.79284i | 0.399115 | + | 0.221486i | ||||
\(160\) | 21.9192 | + | 12.3485i | 1.73286 | + | 0.976233i | ||||
\(161\) | −0.777971 | − | 1.21055i | −0.0613127 | − | 0.0954045i | ||||
\(162\) | −10.7950 | − | 6.74293i | −0.848138 | − | 0.529775i | ||||
\(163\) | − | 13.9200i | − | 1.09030i | −0.838340 | − | 0.545148i | \(-0.816474\pi\) | ||
0.838340 | − | 0.545148i | \(-0.183526\pi\) | |||||||
\(164\) | −6.12032 | − | 4.49642i | −0.477917 | − | 0.351111i | ||||
\(165\) | 2.23440 | + | 10.6202i | 0.173948 | + | 0.826778i | ||||
\(166\) | −11.2131 | − | 2.80841i | −0.870307 | − | 0.217975i | ||||
\(167\) | 2.19736 | + | 15.2830i | 0.170037 | + | 1.18263i | 0.878801 | + | 0.477188i | \(0.158344\pi\) |
−0.708764 | + | 0.705445i | \(0.750747\pi\) | |||||||
\(168\) | 5.26653 | + | 7.47875i | 0.406321 | + | 0.576998i | ||||
\(169\) | 0.129086 | − | 0.148973i | 0.00992966 | − | 0.0114594i | ||||
\(170\) | −36.0853 | + | 1.45107i | −2.76762 | + | 0.111292i | ||||
\(171\) | −7.19054 | − | 2.21849i | −0.549874 | − | 0.169652i | ||||
\(172\) | −5.87280 | − | 4.31457i | −0.447797 | − | 0.328983i | ||||
\(173\) | 16.2241 | + | 7.40932i | 1.23350 | + | 0.563320i | 0.922097 | − | 0.386958i | \(-0.126474\pi\) |
0.311402 | + | 0.950278i | \(0.399202\pi\) | |||||||
\(174\) | −9.47448 | + | 0.996180i | −0.718259 | + | 0.0755202i | ||||
\(175\) | 7.77432 | + | 26.4769i | 0.587683 | + | 2.00146i | ||||
\(176\) | 4.19204 | − | 3.76636i | 0.315987 | − | 0.283900i | ||||
\(177\) | 16.3500 | + | 12.4147i | 1.22894 | + | 0.933145i | ||||
\(178\) | −2.50304 | − | 1.02365i | −0.187611 | − | 0.0767258i | ||||
\(179\) | −12.0146 | + | 13.8656i | −0.898012 | + | 1.03636i | 0.101127 | + | 0.994873i | \(0.467755\pi\) |
−0.999139 | + | 0.0414873i | \(0.986790\pi\) | |||||||
\(180\) | −9.44217 | + | 24.9579i | −0.703778 | + | 1.86025i | ||||
\(181\) | 12.0059 | + | 13.8555i | 0.892391 | + | 1.02987i | 0.999366 | + | 0.0356128i | \(0.0113383\pi\) |
−0.106974 | + | 0.994262i | \(0.534116\pi\) | |||||||
\(182\) | −5.42324 | − | 7.73656i | −0.401997 | − | 0.573472i | ||||
\(183\) | 5.77280 | + | 15.8065i | 0.426738 | + | 1.16845i | ||||
\(184\) | −2.16402 | + | 0.262191i | −0.159534 | + | 0.0193290i | ||||
\(185\) | 12.1414 | − | 18.8925i | 0.892657 | − | 1.38900i | ||||
\(186\) | −8.14876 | + | 24.2931i | −0.597496 | + | 1.78126i | ||||
\(187\) | −2.27913 | + | 7.76202i | −0.166667 | + | 0.567615i | ||||
\(188\) | −8.87366 | − | 1.84704i | −0.647178 | − | 0.134709i | ||||
\(189\) | −6.99942 | + | 6.71823i | −0.509133 | + | 0.488679i | ||||
\(190\) | −1.61595 | + | 15.6933i | −0.117233 | + | 1.13851i | ||||
\(191\) | 11.3135 | − | 13.0564i | 0.818614 | − | 0.944730i | −0.180633 | − | 0.983551i | \(-0.557814\pi\) |
0.999246 | + | 0.0388202i | \(0.0123599\pi\) | |||||||
\(192\) | 13.6729 | − | 2.24739i | 0.986759 | − | 0.162191i | ||||
\(193\) | −0.336008 | + | 0.735755i | −0.0241864 | + | 0.0529608i | −0.921340 | − | 0.388759i | \(-0.872904\pi\) |
0.897153 | + | 0.441719i | \(0.145631\pi\) | |||||||
\(194\) | 9.57971 | − | 3.23629i | 0.687783 | − | 0.232352i | ||||
\(195\) | 9.80832 | − | 25.7583i | 0.702388 | − | 1.84459i | ||||
\(196\) | −6.56225 | + | 2.51496i | −0.468732 | + | 0.179640i | ||||
\(197\) | 5.53029 | − | 18.8344i | 0.394017 | − | 1.34190i | −0.488888 | − | 0.872347i | \(-0.662597\pi\) |
0.882905 | − | 0.469552i | \(-0.155584\pi\) | |||||||
\(198\) | 4.61960 | + | 3.79313i | 0.328301 | + | 0.269566i | ||||
\(199\) | −9.71041 | − | 1.39615i | −0.688353 | − | 0.0989702i | −0.210742 | − | 0.977542i | \(-0.567588\pi\) |
−0.477611 | + | 0.878572i | \(0.658497\pi\) | |||||||
\(200\) | 41.2340 | + | 6.86722i | 2.91568 | + | 0.485585i | ||||
\(201\) | 13.2577 | − | 5.02318i | 0.935129 | − | 0.354308i | ||||
\(202\) | −3.49135 | + | 1.76730i | −0.245651 | + | 0.124347i | ||||
\(203\) | −1.03345 | + | 7.18784i | −0.0725343 | + | 0.504487i | ||||
\(204\) | −15.0044 | + | 13.0580i | −1.05052 | + | 0.914242i | ||||
\(205\) | −16.2037 | − | 4.75784i | −1.13172 | − | 0.332302i | ||||
\(206\) | −14.5955 | − | 1.50291i | −1.01691 | − | 0.104713i | ||||
\(207\) | −0.621016 | − | 2.22711i | −0.0431636 | − | 0.154795i | ||||
\(208\) | −14.1279 | + | 2.29100i | −0.979593 | + | 0.158852i | ||||
\(209\) | 3.21456 | + | 1.46804i | 0.222356 | + | 0.101547i | ||||
\(210\) | 16.6806 | + | 11.6395i | 1.15107 | + | 0.803204i | ||||
\(211\) | −1.10759 | − | 0.959732i | −0.0762496 | − | 0.0660706i | 0.615902 | − | 0.787823i | \(-0.288792\pi\) |
−0.692152 | + | 0.721752i | \(0.743337\pi\) | |||||||
\(212\) | −2.37839 | − | 6.20591i | −0.163348 | − | 0.426223i | ||||
\(213\) | −4.43182 | + | 7.98607i | −0.303663 | + | 0.547197i | ||||
\(214\) | 6.24639 | − | 7.82294i | 0.426994 | − | 0.534765i | ||||
\(215\) | −15.5484 | − | 4.56542i | −1.06039 | − | 0.311359i | ||||
\(216\) | 4.54323 | + | 13.9771i | 0.309128 | + | 0.951021i | ||||
\(217\) | 16.4309 | + | 10.5595i | 1.11540 | + | 0.716827i | ||||
\(218\) | −3.85314 | − | 4.10148i | −0.260968 | − | 0.277787i | ||||
\(219\) | −2.89723 | − | 7.93287i | −0.195777 | − | 0.536053i | ||||
\(220\) | 5.90673 | − | 11.0522i | 0.398231 | − | 0.745139i | ||||
\(221\) | 15.5272 | − | 13.4544i | 1.04447 | − | 0.905041i | ||||
\(222\) | −1.29338 | − | 12.3011i | −0.0868062 | − | 0.825598i | ||||
\(223\) | 16.2085 | + | 14.0448i | 1.08540 | + | 0.940507i | 0.998447 | − | 0.0557051i | \(-0.0177407\pi\) |
0.0869557 | + | 0.996212i | \(0.472286\pi\) | |||||||
\(224\) | 0.892981 | − | 10.5243i | 0.0596648 | − | 0.703181i | ||||
\(225\) | −0.605789 | + | 44.3335i | −0.0403859 | + | 2.95557i | ||||
\(226\) | −19.8944 | − | 15.8851i | −1.32336 | − | 1.05666i | ||||
\(227\) | −6.03152 | + | 1.77101i | −0.400326 | + | 0.117546i | −0.475697 | − | 0.879609i | \(-0.657804\pi\) |
0.0753710 | + | 0.997156i | \(0.475986\pi\) | |||||||
\(228\) | 4.71339 | + | 7.29964i | 0.312152 | + | 0.483430i | ||||
\(229\) | 2.13113 | − | 4.66653i | 0.140829 | − | 0.308373i | −0.826055 | − | 0.563590i | \(-0.809420\pi\) |
0.966884 | + | 0.255217i | \(0.0821470\pi\) | |||||||
\(230\) | −4.32480 | + | 2.18918i | −0.285169 | + | 0.144350i | ||||
\(231\) | 3.66602 | − | 2.70547i | 0.241206 | − | 0.178007i | ||||
\(232\) | 9.11973 | + | 6.15154i | 0.598740 | + | 0.403868i | ||||
\(233\) | −6.43316 | − | 5.57437i | −0.421451 | − | 0.365189i | 0.418164 | − | 0.908371i | \(-0.362674\pi\) |
−0.839615 | + | 0.543183i | \(0.817219\pi\) | |||||||
\(234\) | −4.66171 | − | 14.4472i | −0.304746 | − | 0.944440i | ||||
\(235\) | −19.9501 | + | 2.86839i | −1.30140 | + | 0.187113i | ||||
\(236\) | −5.24670 | − | 23.1172i | −0.341531 | − | 1.50480i | ||||
\(237\) | −1.66625 | − | 7.91972i | −0.108234 | − | 0.514441i | ||||
\(238\) | 6.84749 | + | 13.5274i | 0.443857 | + | 0.876854i | ||||
\(239\) | −14.4445 | −0.934335 | −0.467168 | − | 0.884169i | \(-0.654726\pi\) | ||||
−0.467168 | + | 0.884169i | \(0.654726\pi\) | |||||||
\(240\) | 26.8773 | − | 15.0669i | 1.73492 | − | 0.972563i | ||||
\(241\) | 17.2375 | − | 11.0779i | 1.11037 | − | 0.713590i | 0.148994 | − | 0.988838i | \(-0.452397\pi\) |
0.961373 | + | 0.275249i | \(0.0887601\pi\) | |||||||
\(242\) | 8.72938 | + | 9.29200i | 0.561146 | + | 0.597312i | ||||
\(243\) | −13.9288 | + | 6.99914i | −0.893534 | + | 0.448995i | ||||
\(244\) | 6.62662 | − | 18.2660i | 0.424226 | − | 1.16936i | ||||
\(245\) | −11.8104 | + | 10.2338i | −0.754537 | + | 0.653810i | ||||
\(246\) | −8.60159 | + | 3.53933i | −0.548418 | + | 0.225659i | ||||
\(247\) | −4.85230 | − | 7.55033i | −0.308744 | − | 0.480416i | ||||
\(248\) | 25.2399 | − | 15.4390i | 1.60273 | − | 0.980375i | ||||
\(249\) | −10.0790 | + | 9.94217i | −0.638728 | + | 0.630059i | ||||
\(250\) | 60.4799 | − | 11.1924i | 3.82508 | − | 0.707872i | ||||
\(251\) | 23.6230 | − | 6.93634i | 1.49107 | − | 0.437818i | 0.568188 | − | 0.822899i | \(-0.307645\pi\) |
0.922883 | + | 0.385081i | \(0.125826\pi\) | |||||||
\(252\) | 11.1778 | − | 0.746865i | 0.704138 | − | 0.0470481i | ||||
\(253\) | 0.154526 | + | 1.07475i | 0.00971499 | + | 0.0675692i | ||||
\(254\) | −13.8851 | + | 2.56957i | −0.871226 | + | 0.161229i | ||||
\(255\) | −21.4624 | + | 38.6749i | −1.34403 | + | 2.42192i | ||||
\(256\) | −13.7621 | − | 8.16123i | −0.860129 | − | 0.510077i | ||||
\(257\) | −15.7015 | + | 24.4320i | −0.979434 | + | 1.52403i | −0.133287 | + | 0.991077i | \(0.542553\pi\) |
−0.846146 | + | 0.532951i | \(0.821083\pi\) | |||||||
\(258\) | −8.25372 | + | 3.39619i | −0.513854 | + | 0.211437i | ||||
\(259\) | −9.33228 | − | 1.34178i | −0.579880 | − | 0.0833741i | ||||
\(260\) | −27.7953 | + | 15.5031i | −1.72379 | + | 0.961458i | ||||
\(261\) | −4.99153 | + | 10.5462i | −0.308968 | + | 0.652792i | ||||
\(262\) | 19.3299 | + | 11.3519i | 1.19421 | + | 0.701325i | ||||
\(263\) | −7.09561 | − | 4.56007i | −0.437534 | − | 0.281186i | 0.303273 | − | 0.952904i | \(-0.401920\pi\) |
−0.740807 | + | 0.671718i | \(0.765557\pi\) | |||||||
\(264\) | −1.27055 | − | 6.78408i | −0.0781970 | − | 0.417531i | ||||
\(265\) | −9.67803 | − | 11.1690i | −0.594517 | − | 0.686109i | ||||
\(266\) | 6.27489 | − | 2.11983i | 0.384738 | − | 0.129975i | ||||
\(267\) | −2.66492 | + | 1.96667i | −0.163091 | + | 0.120358i | ||||
\(268\) | −15.4552 | − | 5.39782i | −0.944077 | − | 0.329724i | ||||
\(269\) | 14.6552i | 0.893541i | 0.894649 | + | 0.446770i | \(0.147426\pi\) | ||||
−0.894649 | + | 0.446770i | \(0.852574\pi\) | |||||||
\(270\) | 20.0967 | + | 25.7721i | 1.22305 | + | 1.56844i | ||||
\(271\) | 14.3014 | − | 12.3922i | 0.868748 | − | 0.752774i | −0.101513 | − | 0.994834i | \(-0.532368\pi\) |
0.970261 | + | 0.242060i | \(0.0778230\pi\) | |||||||
\(272\) | 22.9642 | − | 0.412531i | 1.39241 | − | 0.0250134i | ||||
\(273\) | −11.5474 | + | 0.746628i | −0.698878 | + | 0.0451880i | ||||
\(274\) | 1.72447 | − | 2.93641i | 0.104179 | − | 0.177395i | ||||
\(275\) | 2.96328 | − | 20.6101i | 0.178693 | − | 1.24283i | ||||
\(276\) | −1.10383 | + | 2.43087i | −0.0664430 | + | 0.146321i | ||||
\(277\) | −2.56881 | + | 17.8665i | −0.154345 | + | 1.07349i | 0.754482 | + | 0.656321i | \(0.227888\pi\) |
−0.908827 | + | 0.417173i | \(0.863021\pi\) | |||||||
\(278\) | 7.34782 | − | 29.3376i | 0.440693 | − | 1.75956i | ||||
\(279\) | 20.2250 | + | 23.9956i | 1.21084 | + | 1.43658i | ||||
\(280\) | −6.11447 | − | 22.6769i | −0.365410 | − | 1.35520i | ||||
\(281\) | 10.3910 | − | 4.74542i | 0.619876 | − | 0.283088i | −0.0806192 | − | 0.996745i | \(-0.525690\pi\) |
0.700495 | + | 0.713657i | \(0.252962\pi\) | |||||||
\(282\) | −7.58336 | + | 8.10696i | −0.451582 | + | 0.482763i | ||||
\(283\) | −12.0434 | + | 1.73158i | −0.715908 | + | 0.102932i | −0.490637 | − | 0.871364i | \(-0.663236\pi\) |
−0.225271 | + | 0.974296i | \(0.572327\pi\) | |||||||
\(284\) | 9.84786 | − | 3.77415i | 0.584363 | − | 0.223955i | ||||
\(285\) | 15.3885 | + | 11.6846i | 0.911537 | + | 0.692135i | ||||
\(286\) | 1.29730 | + | 7.01016i | 0.0767111 | + | 0.414520i | ||||
\(287\) | 1.00900 | + | 7.01777i | 0.0595595 | + | 0.414246i | ||||
\(288\) | 6.35630 | − | 15.7352i | 0.374549 | − | 0.927207i | ||||
\(289\) | −13.4351 | + | 8.63421i | −0.790299 | + | 0.507894i | ||||
\(290\) | 23.7288 | + | 5.94305i | 1.39340 | + | 0.348988i | ||||
\(291\) | 2.71504 | − | 12.0828i | 0.159159 | − | 0.708309i | ||||
\(292\) | −3.32573 | + | 9.16726i | −0.194624 | + | 0.536473i | ||||
\(293\) | 18.4764 | − | 8.43790i | 1.07940 | − | 0.492947i | 0.205307 | − | 0.978698i | \(-0.434181\pi\) |
0.874098 | + | 0.485750i | \(0.161454\pi\) | |||||||
\(294\) | −1.54805 | + | 8.46675i | −0.0902839 | + | 0.493791i | ||||
\(295\) | −28.4987 | − | 44.3448i | −1.65926 | − | 2.58186i | ||||
\(296\) | −7.98681 | + | 11.8405i | −0.464224 | + | 0.688218i | ||||
\(297\) | 6.91013 | − | 2.41722i | 0.400966 | − | 0.140261i | ||||
\(298\) | −11.5998 | + | 5.87176i | −0.671961 | + | 0.340142i | ||||
\(299\) | 1.14556 | − | 2.50842i | 0.0662493 | − | 0.145066i | ||||
\(300\) | 33.4435 | − | 38.7638i | 1.93086 | − | 2.23803i | ||||
\(301\) | 0.968195 | + | 6.73395i | 0.0558059 | + | 0.388138i | ||||
\(302\) | −3.33398 | − | 4.75610i | −0.191849 | − | 0.273683i | ||||
\(303\) | −0.374553 | + | 4.77798i | −0.0215175 | + | 0.274487i | ||||
\(304\) | 1.24928 | − | 9.95525i | 0.0716514 | − | 0.570973i | ||||
\(305\) | − | 43.2083i | − | 2.47410i | ||||||
\(306\) | 4.10531 | + | 24.0128i | 0.234685 | + | 1.37272i | ||||
\(307\) | 9.86008 | + | 4.50295i | 0.562744 | + | 0.256997i | 0.676414 | − | 0.736522i | \(-0.263533\pi\) |
−0.113669 | + | 0.993519i | \(0.536260\pi\) | |||||||
\(308\) | −5.25084 | − | 0.328177i | −0.299194 | − | 0.0186996i | ||||
\(309\) | −10.8672 | + | 14.3120i | −0.618213 | + | 0.814182i | ||||
\(310\) | 41.0527 | − | 51.4142i | 2.33164 | − | 2.92013i | ||||
\(311\) | 8.00725 | − | 2.35114i | 0.454050 | − | 0.133321i | −0.0467080 | − | 0.998909i | \(-0.514873\pi\) |
0.500758 | + | 0.865588i | \(0.333055\pi\) | |||||||
\(312\) | −6.60042 | + | 16.2390i | −0.373675 | + | 0.919350i | ||||
\(313\) | 2.70871 | − | 3.12602i | 0.153106 | − | 0.176693i | −0.674015 | − | 0.738717i | \(-0.735432\pi\) |
0.827121 | + | 0.562024i | \(0.189977\pi\) | |||||||
\(314\) | 5.11868 | + | 3.00606i | 0.288864 | + | 0.169642i | ||||
\(315\) | 22.7996 | − | 10.0380i | 1.28461 | − | 0.565579i | ||||
\(316\) | −4.40480 | + | 8.24191i | −0.247789 | + | 0.463643i | ||||
\(317\) | −4.48305 | + | 15.2679i | −0.251793 | + | 0.857529i | 0.732467 | + | 0.680803i | \(0.238369\pi\) |
−0.984260 | + | 0.176726i | \(0.943449\pi\) | |||||||
\(318\) | −8.00698 | − | 1.46398i | −0.449009 | − | 0.0820961i | ||||
\(319\) | 2.96243 | − | 4.60963i | 0.165864 | − | 0.258089i | ||||
\(320\) | −34.9571 | − | 6.62353i | −1.95416 | − | 0.370267i | ||||
\(321\) | −4.20608 | − | 11.5166i | −0.234760 | − | 0.642795i | ||||
\(322\) | 1.59027 | + | 1.26979i | 0.0886225 | + | 0.0707625i | ||||
\(323\) | 5.98313 | + | 13.1012i | 0.332910 | + | 0.728972i | ||||
\(324\) | 17.5155 | + | 4.14819i | 0.973083 | + | 0.230455i | ||||
\(325\) | −34.6301 | + | 39.9653i | −1.92093 | + | 2.21688i | ||||
\(326\) | 6.30058 | + | 18.6503i | 0.348957 | + | 1.03294i | ||||
\(327\) | −6.74461 | + | 1.41901i | −0.372978 | + | 0.0784716i | ||||
\(328\) | 10.2354 | + | 3.25417i | 0.565153 | + | 0.179681i | ||||
\(329\) | 4.57473 | + | 7.11842i | 0.252213 | + | 0.392451i | ||||
\(330\) | −7.80069 | − | 13.2178i | −0.429414 | − | 0.727615i | ||||
\(331\) | −9.31087 | + | 31.7099i | −0.511771 | + | 1.74293i | 0.145577 | + | 0.989347i | \(0.453496\pi\) |
−0.657349 | + | 0.753587i | \(0.728322\pi\) | |||||||
\(332\) | 16.2948 | − | 1.31262i | 0.894292 | − | 0.0720392i | ||||
\(333\) | −13.6926 | − | 6.48073i | −0.750348 | − | 0.355142i | ||||
\(334\) | −9.86160 | − | 19.4819i | −0.539603 | − | 1.06600i | ||||
\(335\) | −36.4008 | + | 0.437064i | −1.98879 | + | 0.0238794i | ||||
\(336\) | −10.4413 | − | 7.63642i | −0.569620 | − | 0.416601i | ||||
\(337\) | 0.782887 | − | 5.44510i | 0.0426466 | − | 0.296613i | −0.957325 | − | 0.289015i | \(-0.906672\pi\) |
0.999971 | − | 0.00759843i | \(-0.00241868\pi\) | |||||||
\(338\) | −0.105522 | + | 0.258025i | −0.00573967 | + | 0.0140347i | ||||
\(339\) | −29.2878 | + | 10.6964i | −1.59069 | + | 0.580951i | ||||
\(340\) | 47.6911 | − | 18.2774i | 2.58641 | − | 0.991233i | ||||
\(341\) | −7.96786 | − | 12.3982i | −0.431484 | − | 0.671402i | ||||
\(342\) | 10.6382 | − | 0.282265i | 0.575248 | − | 0.0152632i | ||||
\(343\) | 17.8567 | + | 8.15487i | 0.964170 | + | 0.440322i | ||||
\(344\) | 9.82142 | + | 3.12256i | 0.529535 | + | 0.168357i | ||||
\(345\) | −0.463965 | + | 5.91856i | −0.0249790 | + | 0.318644i | ||||
\(346\) | −25.0912 | − | 2.58366i | −1.34891 | − | 0.138898i | ||||
\(347\) | 6.96399 | + | 15.2490i | 0.373847 | + | 0.818610i | 0.999265 | + | 0.0383208i | \(0.0122009\pi\) |
−0.625419 | + | 0.780289i | \(0.715072\pi\) | |||||||
\(348\) | 12.2432 | − | 5.62313i | 0.656306 | − | 0.301432i | ||||
\(349\) | 2.29604 | + | 0.674177i | 0.122904 | + | 0.0360879i | 0.342606 | − | 0.939479i | \(-0.388690\pi\) |
−0.219702 | + | 0.975567i | \(0.570509\pi\) | |||||||
\(350\) | −22.4004 | − | 31.9555i | −1.19735 | − | 1.70809i | ||||
\(351\) | −18.0827 | − | 4.32359i | −0.965184 | − | 0.230776i | ||||
\(352\) | −3.91183 | + | 6.94370i | −0.208501 | + | 0.370100i | ||||
\(353\) | 2.12119 | − | 7.22411i | 0.112900 | − | 0.384501i | −0.883586 | − | 0.468270i | \(-0.844878\pi\) |
0.996485 | + | 0.0837689i | \(0.0266957\pi\) | |||||||
\(354\) | −27.5254 | − | 9.23298i | −1.46296 | − | 0.490727i | ||||
\(355\) | 17.7236 | − | 15.3576i | 0.940672 | − | 0.815097i | ||||
\(356\) | 3.81697 | + | 0.238560i | 0.202299 | + | 0.0126437i | ||||
\(357\) | 18.5125 | + | 1.45123i | 0.979787 | + | 0.0768070i | ||||
\(358\) | 9.82146 | − | 24.0156i | 0.519080 | − | 1.26926i | ||||
\(359\) | −6.08297 | + | 1.78612i | −0.321047 | + | 0.0942678i | −0.438285 | − | 0.898836i | \(-0.644414\pi\) |
0.117238 | + | 0.993104i | \(0.462596\pi\) | |||||||
\(360\) | 1.35417 | − | 37.7130i | 0.0713710 | − | 1.98765i | ||||
\(361\) | −12.1935 | + | 3.58033i | −0.641763 | + | 0.188439i | ||||
\(362\) | −22.3572 | − | 13.1298i | −1.17507 | − | 0.690085i | ||||
\(363\) | 15.2801 | − | 3.21480i | 0.801995 | − | 0.168733i | ||||
\(364\) | 10.7680 | + | 7.91091i | 0.564395 | + | 0.414644i | ||||
\(365\) | 21.6852i | 1.13505i | ||||||||
\(366\) | −14.8890 | − | 18.5649i | −0.778260 | − | 0.970404i | ||||
\(367\) | −19.6849 | − | 17.0570i | −1.02754 | − | 0.890369i | −0.0335067 | − | 0.999438i | \(-0.510668\pi\) |
−0.994034 | + | 0.109069i | \(0.965213\pi\) | |||||||
\(368\) | 2.78073 | − | 1.33079i | 0.144956 | − | 0.0693721i | ||||
\(369\) | −1.77512 | + | 11.2526i | −0.0924091 | + | 0.585785i | ||||
\(370\) | −7.71611 | + | 30.8081i | −0.401142 | + | 1.60164i | ||||
\(371\) | −2.57745 | + | 5.64382i | −0.133814 | + | 0.293013i | ||||
\(372\) | −0.0778850 | − | 36.2369i | −0.00403815 | − | 1.87880i | ||||
\(373\) | −9.21496 | −0.477133 | −0.238566 | − | 0.971126i | \(-0.576677\pi\) | ||||
−0.238566 | + | 0.971126i | \(0.576677\pi\) | |||||||
\(374\) | −0.459678 | − | 11.4313i | −0.0237694 | − | 0.591100i | ||||
\(375\) | 26.8068 | − | 70.3991i | 1.38430 | − | 3.63539i | ||||
\(376\) | 12.7252 | − | 1.54177i | 0.656250 | − | 0.0795107i | ||||
\(377\) | −12.6586 | + | 5.78101i | −0.651953 | + | 0.297737i | ||||
\(378\) | 6.33711 | − | 12.1694i | 0.325946 | − | 0.625925i | ||||
\(379\) | 21.9906 | − | 19.0550i | 1.12958 | − | 0.978788i | 0.129663 | − | 0.991558i | \(-0.458610\pi\) |
0.999918 | + | 0.0127700i | \(0.00406493\pi\) | |||||||
\(380\) | −4.93815 | − | 21.7577i | −0.253322 | − | 1.11614i | ||||
\(381\) | −6.15433 | + | 16.1623i | −0.315296 | + | 0.828020i | ||||
\(382\) | −9.24832 | + | 22.6141i | −0.473185 | + | 1.15704i | ||||
\(383\) | −0.527627 | − | 3.66973i | −0.0269605 | − | 0.187514i | 0.971891 | − | 0.235432i | \(-0.0756505\pi\) |
−0.998851 | + | 0.0479178i | \(0.984741\pi\) | |||||||
\(384\) | −17.3021 | + | 9.19988i | −0.882943 | + | 0.469479i | ||||
\(385\) | −11.2251 | + | 3.29600i | −0.572086 | + | 0.167980i | ||||
\(386\) | 0.117167 | − | 1.13787i | 0.00596366 | − | 0.0579160i | ||||
\(387\) | −1.70333 | + | 10.7975i | −0.0865852 | + | 0.548867i | ||||
\(388\) | −11.3703 | + | 8.67211i | −0.577238 | + | 0.440260i | ||||
\(389\) | 0.169990 | − | 0.0776317i | 0.00861882 | − | 0.00393608i | −0.411101 | − | 0.911590i | \(-0.634856\pi\) |
0.419720 | + | 0.907654i | \(0.362128\pi\) | |||||||
\(390\) | −1.48246 | + | 38.9511i | −0.0750672 | + | 1.97237i | ||||
\(391\) | −2.39250 | + | 3.72280i | −0.120994 | + | 0.188270i | ||||
\(392\) | 7.65392 | − | 6.33986i | 0.386581 | − | 0.320211i | ||||
\(393\) | 24.1859 | − | 12.9928i | 1.22002 | − | 0.655399i | ||||
\(394\) | 1.11540 | + | 27.7380i | 0.0561932 | + | 1.39742i | ||||
\(395\) | −2.95740 | + | 20.5691i | −0.148803 | + | 1.03495i | ||||
\(396\) | −7.90633 | − | 2.99115i | −0.397308 | − | 0.150311i | ||||
\(397\) | −4.50837 | − | 2.89735i | −0.226269 | − | 0.145414i | 0.422595 | − | 0.906319i | \(-0.361119\pi\) |
−0.648864 | + | 0.760904i | \(0.724756\pi\) | |||||||
\(398\) | 13.6422 | − | 2.52463i | 0.683820 | − | 0.126548i | ||||
\(399\) | 1.77841 | − | 7.91450i | 0.0890317 | − | 0.396220i | ||||
\(400\) | −58.3546 | + | 9.46285i | −2.91773 | + | 0.473142i | ||||
\(401\) | − | 5.33008i | − | 0.266172i | −0.991105 | − | 0.133086i | \(-0.957511\pi\) | ||
0.991105 | − | 0.133086i | \(-0.0424886\pi\) | |||||||
\(402\) | −15.4894 | + | 12.7310i | −0.772541 | + | 0.634965i | ||||
\(403\) | 37.4296i | 1.86450i | ||||||||
\(404\) | 3.87787 | − | 3.94816i | 0.192931 | − | 0.196428i | ||||
\(405\) | 39.7599 | − | 4.61170i | 1.97568 | − | 0.229157i | ||||
\(406\) | −1.86878 | − | 10.0982i | −0.0927458 | − | 0.501165i | ||||
\(407\) | 5.98488 | + | 3.84625i | 0.296659 | + | 0.190651i | ||||
\(408\) | 14.1929 | − | 24.2868i | 0.702652 | − | 1.20238i | ||||
\(409\) | 0.374980 | − | 2.60804i | 0.0185416 | − | 0.128959i | −0.978448 | − | 0.206492i | \(-0.933795\pi\) |
0.996990 | + | 0.0775328i | \(0.0247043\pi\) | |||||||
\(410\) | 23.8636 | − | 0.959607i | 1.17854 | − | 0.0473916i | ||||
\(411\) | −1.97374 | − | 3.67408i | −0.0973572 | − | 0.181229i | ||||
\(412\) | 20.2356 | − | 4.59270i | 0.996937 | − | 0.226266i | ||||
\(413\) | −11.9645 | + | 18.6171i | −0.588734 | + | 0.916088i | ||||
\(414\) | 1.84011 | + | 2.70285i | 0.0904364 | + | 0.132838i | ||||
\(415\) | 33.0669 | − | 15.1011i | 1.62319 | − | 0.741286i | ||||
\(416\) | 17.8919 | − | 9.46423i | 0.877223 | − | 0.464022i | ||||
\(417\) | −26.0124 | − | 26.3702i | −1.27383 | − | 1.29136i | ||||
\(418\) | −4.97143 | − | 0.511912i | −0.243160 | − | 0.0250384i | ||||
\(419\) | −9.37121 | + | 2.75164i | −0.457814 | + | 0.134426i | −0.502504 | − | 0.864575i | \(-0.667588\pi\) |
0.0446907 | + | 0.999001i | \(0.485770\pi\) | |||||||
\(420\) | −27.6175 | − | 8.04478i | −1.34759 | − | 0.392545i | ||||
\(421\) | −1.48326 | − | 10.3163i | −0.0722897 | − | 0.502786i | −0.993510 | − | 0.113745i | \(-0.963715\pi\) |
0.921220 | − | 0.389041i | \(-0.127194\pi\) | |||||||
\(422\) | 1.91838 | + | 0.784544i | 0.0933851 | + | 0.0381910i | ||||
\(423\) | 3.65178 | + | 13.0962i | 0.177556 | + | 0.636758i | ||||
\(424\) | 5.99559 | + | 7.23829i | 0.291172 | + | 0.351522i | ||||
\(425\) | 64.1344 | − | 55.5727i | 3.11097 | − | 2.69567i | ||||
\(426\) | 2.32312 | − | 12.7059i | 0.112556 | − | 0.615603i | ||||
\(427\) | −16.5007 | + | 7.53561i | −0.798524 | + | 0.364674i | ||||
\(428\) | −4.82817 | + | 13.3087i | −0.233378 | + | 0.643298i | ||||
\(429\) | 8.15988 | + | 3.10714i | 0.393963 | + | 0.150014i | ||||
\(430\) | 22.8985 | − | 0.920798i | 1.10427 | − | 0.0444048i | ||||
\(431\) | 13.7427 | 0.661963 | 0.330982 | − | 0.943637i | \(-0.392620\pi\) | ||||
0.330982 | + | 0.943637i | \(0.392620\pi\) | |||||||
\(432\) | −12.4136 | − | 16.6704i | −0.597248 | − | 0.802057i | ||||
\(433\) | 5.42766 | − | 11.8849i | 0.260837 | − | 0.571153i | −0.733223 | − | 0.679988i | \(-0.761985\pi\) |
0.994060 | + | 0.108835i | \(0.0347122\pi\) | |||||||
\(434\) | −26.7941 | − | 6.71077i | −1.28616 | − | 0.322127i | ||||
\(435\) | 21.3287 | − | 21.0392i | 1.02263 | − | 1.00875i | ||||
\(436\) | 7.01898 | + | 3.75122i | 0.336148 | + | 0.179651i | ||||
\(437\) | 1.46098 | + | 1.26594i | 0.0698881 | + | 0.0605584i | ||||
\(438\) | 7.47242 | + | 9.31727i | 0.357046 | + | 0.445196i | ||||
\(439\) | − | 25.3776i | − | 1.21120i | −0.795767 | − | 0.605602i | \(-0.792932\pi\) | ||
0.795767 | − | 0.605602i | \(-0.207068\pi\) | |||||||
\(440\) | −2.91142 | + | 17.4815i | −0.138797 | + | 0.833400i | ||||
\(441\) | 7.87168 | + | 7.01143i | 0.374842 | + | 0.333877i | ||||
\(442\) | −14.7139 | + | 25.0546i | −0.699867 | + | 1.19173i | ||||
\(443\) | −12.6790 | + | 3.72288i | −0.602396 | + | 0.176879i | −0.568689 | − | 0.822552i | \(-0.692549\pi\) |
−0.0337065 | + | 0.999432i | \(0.510731\pi\) | |||||||
\(444\) | 7.30076 | + | 15.8959i | 0.346479 | + | 0.754387i | ||||
\(445\) | 8.15984 | − | 2.39594i | 0.386813 | − | 0.113579i | ||||
\(446\) | −28.0736 | − | 11.4811i | −1.32932 | − | 0.543644i | ||||
\(447\) | −1.24443 | + | 15.8746i | −0.0588597 | + | 0.750842i | ||||
\(448\) | 3.56715 | + | 14.5048i | 0.168532 | + | 0.685289i | ||||
\(449\) | −20.6454 | + | 17.8894i | −0.974319 | + | 0.844252i | −0.987811 | − | 0.155657i | \(-0.950251\pi\) |
0.0134925 | + | 0.999909i | \(0.495705\pi\) | |||||||
\(450\) | −19.2550 | − | 59.6733i | −0.907688 | − | 2.81302i | ||||
\(451\) | 1.50722 | − | 5.13312i | 0.0709722 | − | 0.241709i | ||||
\(452\) | 33.8451 | + | 12.2785i | 1.59194 | + | 0.577530i | ||||
\(453\) | −7.09882 | + | 0.458995i | −0.333532 | + | 0.0215655i | ||||
\(454\) | 7.27956 | − | 5.10289i | 0.341647 | − | 0.239490i | ||||
\(455\) | 28.5085 | + | 8.37084i | 1.33650 | + | 0.392431i | ||||
\(456\) | −9.61914 | − | 7.64680i | −0.450457 | − | 0.358094i | ||||
\(457\) | 11.6264 | + | 25.4583i | 0.543861 | + | 1.19089i | 0.959590 | + | 0.281401i | \(0.0907990\pi\) |
−0.415730 | + | 0.909488i | \(0.636474\pi\) | |||||||
\(458\) | −0.743134 | + | 7.21694i | −0.0347244 | + | 0.337225i | ||||
\(459\) | 27.7355 | + | 10.9974i | 1.29458 | + | 0.513315i | ||||
\(460\) | 4.80358 | − | 4.89064i | 0.223968 | − | 0.228027i | ||||
\(461\) | 18.6253 | + | 8.50589i | 0.867467 | + | 0.396159i | 0.798883 | − | 0.601487i | \(-0.205425\pi\) |
0.0685837 | + | 0.997645i | \(0.478152\pi\) | |||||||
\(462\) | −3.68725 | + | 5.28420i | −0.171546 | + | 0.245843i | ||||
\(463\) | 11.4950 | + | 17.8866i | 0.534219 | + | 0.831261i | 0.998518 | − | 0.0544173i | \(-0.0173301\pi\) |
−0.464299 | + | 0.885678i | \(0.653694\pi\) | |||||||
\(464\) | −15.0032 | − | 4.11412i | −0.696506 | − | 0.190993i | ||||
\(465\) | −27.6433 | − | 75.6899i | −1.28193 | − | 3.51003i | ||||
\(466\) | 11.1424 | + | 4.55683i | 0.516163 | + | 0.211091i | ||||
\(467\) | −3.07036 | + | 21.3548i | −0.142079 | + | 0.988183i | 0.786643 | + | 0.617408i | \(0.211817\pi\) |
−0.928723 | + | 0.370776i | \(0.879092\pi\) | |||||||
\(468\) | 12.7851 | + | 17.2466i | 0.590990 | + | 0.797225i | ||||
\(469\) | 6.51528 | + | 13.8248i | 0.300848 | + | 0.638368i | ||||
\(470\) | 25.4312 | − | 12.8731i | 1.17306 | − | 0.593792i | ||||
\(471\) | 6.40456 | − | 3.44057i | 0.295107 | − | 0.158533i | ||||
\(472\) | 17.4932 | + | 28.5981i | 0.805188 | + | 1.31633i | ||||
\(473\) | 1.44626 | − | 4.92552i | 0.0664993 | − | 0.226476i | ||||
\(474\) | 5.81718 | + | 9.85684i | 0.267192 | + | 0.452740i | ||||
\(475\) | −20.0422 | − | 31.1862i | −0.919598 | − | 1.43092i | ||||
\(476\) | −15.2973 | − | 15.0250i | −0.701153 | − | 0.688670i | ||||
\(477\) | −6.63069 | + | 7.44423i | −0.303598 | + | 0.340848i | ||||
\(478\) | 19.3530 | − | 6.53799i | 0.885187 | − | 0.299041i | ||||
\(479\) | −9.00255 | + | 10.3895i | −0.411337 | + | 0.474708i | −0.923178 | − | 0.384372i | \(-0.874418\pi\) |
0.511841 | + | 0.859080i | \(0.328964\pi\) | |||||||
\(480\) | −29.1912 | + | 32.3524i | −1.33239 | + | 1.47668i | ||||
\(481\) | −7.50573 | − | 16.4353i | −0.342232 | − | 0.749383i | ||||
\(482\) | −18.0811 | + | 22.6446i | −0.823570 | + | 1.03143i | ||||
\(483\) | 2.34114 | − | 0.855026i | 0.106525 | − | 0.0389050i | ||||
\(484\) | −15.9017 | − | 8.49847i | −0.722803 | − | 0.386294i | ||||
\(485\) | −17.1917 | + | 26.7508i | −0.780633 | + | 1.21469i | ||||
\(486\) | 15.4941 | − | 15.6822i | 0.702829 | − | 0.711359i | ||||
\(487\) | 5.80490 | − | 19.7697i | 0.263045 | − | 0.895850i | −0.717000 | − | 0.697074i | \(-0.754485\pi\) |
0.980045 | − | 0.198776i | \(-0.0636968\pi\) | |||||||
\(488\) | −0.610770 | + | 27.4726i | −0.0276483 | + | 1.24363i | ||||
\(489\) | 23.5235 | + | 5.28579i | 1.06377 | + | 0.239032i | ||||
\(490\) | 11.1917 | − | 19.0571i | 0.505591 | − | 0.860914i | ||||
\(491\) | −5.01308 | + | 5.78540i | −0.226237 | + | 0.261091i | −0.857508 | − | 0.514471i | \(-0.827988\pi\) |
0.631271 | + | 0.775563i | \(0.282534\pi\) | |||||||
\(492\) | 9.92261 | − | 8.63540i | 0.447346 | − | 0.389314i | ||||
\(493\) | 21.4275 | − | 6.29167i | 0.965044 | − | 0.283363i | ||||
\(494\) | 9.91872 | + | 7.91981i | 0.446264 | + | 0.356329i | ||||
\(495\) | −18.7956 | − | 0.256830i | −0.844800 | − | 0.0115436i | ||||
\(496\) | −26.8288 | + | 32.1098i | −1.20465 | + | 1.44177i | ||||
\(497\) | −8.95591 | − | 4.09003i | −0.401728 | − | 0.183463i | ||||
\(498\) | 9.00390 | − | 17.8828i | 0.403474 | − | 0.801347i | ||||
\(499\) | 0.763124i | 0.0341621i | 0.999854 | + | 0.0170811i | \(0.00543733\pi\) | ||||
−0.999854 | + | 0.0170811i | \(0.994563\pi\) | |||||||
\(500\) | −75.9664 | + | 42.3708i | −3.39732 | + | 1.89488i | ||||
\(501\) | −26.6613 | − | 2.09002i | −1.19114 | − | 0.0933754i | ||||
\(502\) | −28.5111 | + | 19.9859i | −1.27251 | + | 0.892016i | ||||
\(503\) | 3.57004 | + | 24.8302i | 0.159180 | + | 1.10712i | 0.900148 | + | 0.435583i | \(0.143458\pi\) |
−0.740968 | + | 0.671540i | \(0.765633\pi\) | |||||||
\(504\) | −14.6383 | + | 6.06008i | −0.652041 | + | 0.269938i | ||||
\(505\) | 5.11211 | − | 11.1940i | 0.227486 | − | 0.498125i | ||||
\(506\) | −0.693503 | − | 1.37004i | −0.0308300 | − | 0.0609056i | ||||
\(507\) | 0.202734 | + | 0.274712i | 0.00900371 | + | 0.0122004i | ||||
\(508\) | 17.4405 | − | 9.72756i | 0.773795 | − | 0.431590i | ||||
\(509\) | 14.4242 | + | 22.4446i | 0.639344 | + | 0.994838i | 0.998113 | + | 0.0614117i | \(0.0195602\pi\) |
−0.358769 | + | 0.933426i | \(0.616803\pi\) | |||||||
\(510\) | 11.2504 | − | 61.5320i | 0.498177 | − | 2.72468i | ||||
\(511\) | 8.28129 | − | 3.78194i | 0.366343 | − | 0.167303i | ||||
\(512\) | 22.1327 | + | 4.70550i | 0.978138 | + | 0.207956i | ||||
\(513\) | 6.47950 | − | 11.3090i | 0.286077 | − | 0.499303i | ||||
\(514\) | 9.97861 | − | 39.8416i | 0.440137 | − | 1.75734i | ||||
\(515\) | 38.8172 | − | 24.9463i | 1.71049 | − | 1.09927i | ||||
\(516\) | 9.52131 | − | 8.28616i | 0.419152 | − | 0.364778i | ||||
\(517\) | −0.908666 | − | 6.31991i | −0.0399631 | − | 0.277949i | ||||
\(518\) | 13.1109 | − | 2.42631i | 0.576061 | − | 0.106606i | ||||
\(519\) | −18.6819 | + | 24.6039i | −0.820043 | + | 1.07999i | ||||
\(520\) | 30.2237 | − | 33.3523i | 1.32540 | − | 1.46260i | ||||
\(521\) | 20.9466 | − | 3.01167i | 0.917687 | − | 0.131943i | 0.332743 | − | 0.943017i | \(-0.392026\pi\) |
0.584944 | + | 0.811074i | \(0.301117\pi\) | |||||||
\(522\) | 1.91427 | − | 16.3893i | 0.0837852 | − | 0.717342i | ||||
\(523\) | 39.1696 | − | 17.8881i | 1.71277 | − | 0.782194i | 0.716337 | − | 0.697755i | \(-0.245817\pi\) |
0.996429 | − | 0.0844391i | \(-0.0269098\pi\) | |||||||
\(524\) | −31.0369 | − | 6.46029i | −1.35585 | − | 0.282219i | ||||
\(525\) | −47.6958 | + | 3.08391i | −2.08161 | + | 0.134593i | ||||
\(526\) | 11.5709 | + | 2.89801i | 0.504514 | + | 0.126359i | ||||
\(527\) | 8.54817 | − | 59.4538i | 0.372364 | − | 2.58985i | ||||
\(528\) | 4.77299 | + | 8.51438i | 0.207718 | + | 0.370541i | ||||
\(529\) | 3.18871 | − | 22.1780i | 0.138640 | − | 0.964260i | ||||
\(530\) | 18.0223 | + | 10.5840i | 0.782838 | + | 0.459739i | ||||
\(531\) | −27.1883 | + | 22.9160i | −1.17987 | + | 0.994468i | ||||
\(532\) | −7.44775 | + | 5.68040i | −0.322901 | + | 0.246277i | ||||
\(533\) | −10.2683 | + | 8.89756i | −0.444771 | + | 0.385396i | ||||
\(534\) | 2.68035 | − | 3.84122i | 0.115990 | − | 0.166226i | ||||
\(535\) | 31.4817i | 1.36107i | ||||||||
\(536\) | 23.1505 | + | 0.236649i | 0.999948 | + | 0.0102217i | ||||
\(537\) | −18.8693 | − | 25.5687i | −0.814272 | − | 1.10337i | ||||
\(538\) | −6.63335 | − | 19.6353i | −0.285984 | − | 0.846539i | ||||
\(539\) | −3.24192 | − | 3.74137i | −0.139639 | − | 0.161152i | ||||
\(540\) | −38.5912 | − | 25.4337i | −1.66070 | − | 1.09449i | ||||
\(541\) | 17.4623 | + | 11.2224i | 0.750764 | + | 0.482487i | 0.859215 | − | 0.511615i | \(-0.170953\pi\) |
−0.108451 | + | 0.994102i | \(0.534589\pi\) | |||||||
\(542\) | −13.5523 | + | 23.0766i | −0.582119 | + | 0.991226i | ||||
\(543\) | −27.9736 | + | 15.0276i | −1.20046 | + | 0.644896i | ||||
\(544\) | −30.5813 | + | 10.9470i | −1.31116 | + | 0.469348i | ||||
\(545\) | 17.5171 | + | 2.51858i | 0.750351 | + | 0.107884i | ||||
\(546\) | 15.1335 | − | 6.22702i | 0.647653 | − | 0.266492i | ||||
\(547\) | 11.5191 | − | 17.9241i | 0.492522 | − | 0.766379i | −0.502654 | − | 0.864488i | \(-0.667643\pi\) |
0.995176 | + | 0.0981085i | \(0.0312792\pi\) | |||||||
\(548\) | −0.981384 | + | 4.71482i | −0.0419227 | + | 0.201407i | ||||
\(549\) | −28.9036 | + | 3.75339i | −1.23358 | + | 0.160191i | ||||
\(550\) | 5.35844 | + | 28.9551i | 0.228485 | + | 1.23465i | ||||
\(551\) | −1.38836 | − | 9.65626i | −0.0591462 | − | 0.411371i | ||||
\(552\) | 0.378659 | − | 3.75657i | 0.0161168 | − | 0.159890i | ||||
\(553\) | 8.37087 | − | 2.45791i | 0.355966 | − | 0.104521i | ||||
\(554\) | −4.64514 | − | 25.1007i | −0.197353 | − | 1.06643i | ||||
\(555\) | 27.3162 | + | 27.6920i | 1.15951 | + | 1.17546i | ||||
\(556\) | 3.43429 | + | 42.6331i | 0.145646 | + | 1.80805i | ||||
\(557\) | 3.93903 | + | 6.12925i | 0.166902 | + | 0.259705i | 0.914622 | − | 0.404309i | \(-0.132488\pi\) |
−0.747720 | + | 0.664014i | \(0.768852\pi\) | |||||||
\(558\) | −37.9590 | − | 22.9955i | −1.60693 | − | 0.973476i | ||||
\(559\) | −9.85305 | + | 8.53772i | −0.416740 | + | 0.361107i | ||||
\(560\) | 18.4565 | + | 27.6155i | 0.779931 | + | 1.16697i | ||||
\(561\) | −12.2517 | − | 6.79899i | −0.517267 | − | 0.287054i | ||||
\(562\) | −11.7742 | + | 11.0613i | −0.496665 | + | 0.466593i | ||||
\(563\) | −1.29835 | + | 0.834401i | −0.0547191 | + | 0.0351658i | −0.567714 | − | 0.823226i | \(-0.692172\pi\) |
0.512995 | + | 0.858391i | \(0.328536\pi\) | |||||||
\(564\) | 6.49091 | − | 14.2943i | 0.273317 | − | 0.601901i | ||||
\(565\) | 80.0607 | 3.36818 | ||||||||
\(566\) | 15.3523 | − | 7.77123i | 0.645306 | − | 0.326649i | ||||
\(567\) | −8.69535 | − | 14.3795i | −0.365171 | − | 0.603882i | ||||
\(568\) | −11.4861 | + | 9.51412i | −0.481946 | + | 0.399204i | ||||
\(569\) | 24.5571 | − | 3.53077i | 1.02949 | − | 0.148018i | 0.393186 | − | 0.919459i | \(-0.371373\pi\) |
0.636300 | + | 0.771441i | \(0.280464\pi\) | |||||||
\(570\) | −25.9067 | − | 8.69000i | −1.08511 | − | 0.363984i | ||||
\(571\) | −4.32207 | − | 3.74510i | −0.180873 | − | 0.156727i | 0.559719 | − | 0.828683i | \(-0.310909\pi\) |
−0.740592 | + | 0.671955i | \(0.765455\pi\) | |||||||
\(572\) | −4.91116 | − | 8.80518i | −0.205346 | − | 0.368163i | ||||
\(573\) | 17.7682 | + | 24.0767i | 0.742277 | + | 1.00582i | ||||
\(574\) | −4.52833 | − | 8.94586i | −0.189009 | − | 0.373393i | ||||
\(575\) | 4.73167 | − | 10.3609i | 0.197324 | − | 0.432080i | ||||
\(576\) | −1.39410 | + | 23.9595i | −0.0580874 | + | 0.998312i | ||||
\(577\) | 6.57180 | − | 1.92965i | 0.273588 | − | 0.0803326i | −0.142061 | − | 0.989858i | \(-0.545373\pi\) |
0.415648 | + | 0.909525i | \(0.363555\pi\) | |||||||
\(578\) | 14.0926 | − | 17.6494i | 0.586173 | − | 0.734119i | ||||
\(579\) | −1.11577 | − | 0.847211i | −0.0463699 | − | 0.0352089i | ||||
\(580\) | −34.4824 | + | 2.77771i | −1.43180 | + | 0.115338i | ||||
\(581\) | −11.5339 | − | 9.99415i | −0.478505 | − | 0.414627i | ||||
\(582\) | 1.83137 | + | 17.4178i | 0.0759126 | + | 0.721990i | ||||
\(583\) | 3.53820 | − | 3.06587i | 0.146537 | − | 0.126975i | ||||
\(584\) | 0.306530 | − | 13.7878i | 0.0126843 | − | 0.570544i | ||||
\(585\) | 39.8048 | + | 26.3563i | 1.64573 | + | 1.08970i | ||||
\(586\) | −20.9359 | + | 19.6683i | −0.864854 | + | 0.812489i | ||||
\(587\) | 0.0479125 | + | 0.0307915i | 0.00197756 | + | 0.00127090i | 0.541629 | − | 0.840618i | \(-0.317808\pi\) |
−0.539652 | + | 0.841888i | \(0.681444\pi\) | |||||||
\(588\) | −1.75819 | − | 12.0446i | −0.0725065 | − | 0.496712i | ||||
\(589\) | −25.1761 | − | 7.39236i | −1.03736 | − | 0.304597i | ||||
\(590\) | 58.2550 | + | 46.5149i | 2.39832 | + | 1.91499i | ||||
\(591\) | 29.7286 | + | 16.4977i | 1.22287 | + | 0.678624i | ||||
\(592\) | 5.34154 | − | 19.4793i | 0.219536 | − | 0.800594i | ||||
\(593\) | 27.3956 | + | 23.7384i | 1.12500 | + | 0.974821i | 0.999850 | − | 0.0173162i | \(-0.00551218\pi\) |
0.125154 | + | 0.992137i | \(0.460058\pi\) | |||||||
\(594\) | −8.16425 | + | 6.36637i | −0.334983 | + | 0.261215i | ||||
\(595\) | −43.3716 | − | 19.8072i | −1.77806 | − | 0.812014i | ||||
\(596\) | 12.8840 | − | 13.1175i | 0.527750 | − | 0.537316i | ||||
\(597\) | 6.04668 | − | 15.8796i | 0.247474 | − | 0.649909i | ||||
\(598\) | −0.399460 | + | 3.87935i | −0.0163352 | + | 0.158639i | ||||
\(599\) | −43.1291 | − | 12.6639i | −1.76221 | − | 0.517431i | −0.769571 | − | 0.638561i | \(-0.779530\pi\) |
−0.992637 | + | 0.121130i | \(0.961348\pi\) | |||||||
\(600\) | −27.2627 | + | 67.0742i | −1.11299 | + | 2.73829i | ||||
\(601\) | −1.83881 | + | 12.7892i | −0.0750067 | + | 0.521683i | 0.917331 | + | 0.398126i | \(0.130339\pi\) |
−0.992337 | + | 0.123557i | \(0.960570\pi\) | |||||||
\(602\) | −4.34519 | − | 8.58407i | −0.177097 | − | 0.349860i | ||||
\(603\) | 3.45441 | + | 24.3119i | 0.140674 | + | 0.990056i | ||||
\(604\) | 6.61969 | + | 4.86329i | 0.269351 | + | 0.197884i | ||||
\(605\) | −39.6854 | − | 5.70590i | −1.61344 | − | 0.231978i | ||||
\(606\) | −1.66082 | − | 6.57118i | −0.0674660 | − | 0.266936i | ||||
\(607\) | 2.07444 | − | 7.06490i | 0.0841989 | − | 0.286755i | −0.906621 | − | 0.421947i | \(-0.861347\pi\) |
0.990819 | + | 0.135192i | \(0.0431650\pi\) | |||||||
\(608\) | 2.83221 | + | 13.9037i | 0.114861 | + | 0.563871i | ||||
\(609\) | −11.7544 | − | 4.47587i | −0.476312 | − | 0.181371i | ||||
\(610\) | 19.5573 | + | 57.8914i | 0.791853 | + | 2.34396i | ||||
\(611\) | −6.73626 | + | 14.7504i | −0.272520 | + | 0.596735i | ||||
\(612\) | −16.3693 | − | 30.3147i | −0.661688 | − | 1.22540i | ||||
\(613\) | 4.64745 | − | 5.36344i | 0.187709 | − | 0.216627i | −0.654093 | − | 0.756414i | \(-0.726950\pi\) |
0.841802 | + | 0.539787i | \(0.181495\pi\) | |||||||
\(614\) | −15.2489 | − | 1.57019i | −0.615397 | − | 0.0633679i | ||||
\(615\) | 14.1933 | − | 25.5762i | 0.572330 | − | 1.03133i | ||||
\(616\) | 7.18374 | − | 1.93698i | 0.289441 | − | 0.0780433i | ||||
\(617\) | −0.532229 | + | 1.81261i | −0.0214267 | + | 0.0729727i | −0.969512 | − | 0.245042i | \(-0.921198\pi\) |
0.948086 | + | 0.318015i | \(0.103016\pi\) | |||||||
\(618\) | 8.08209 | − | 24.0944i | 0.325109 | − | 0.969218i | ||||
\(619\) | 11.0833 | − | 17.2460i | 0.445476 | − | 0.693174i | −0.543803 | − | 0.839213i | \(-0.683016\pi\) |
0.989279 | + | 0.146039i | \(0.0466524\pi\) | |||||||
\(620\) | −31.7318 | + | 87.4676i | −1.27438 | + | 3.51278i | ||||
\(621\) | 3.99945 | − | 0.203766i | 0.160492 | − | 0.00817685i | ||||
\(622\) | −9.66411 | + | 6.77443i | −0.387495 | + | 0.271630i | ||||
\(623\) | −2.33807 | − | 2.69828i | −0.0936729 | − | 0.108104i | ||||
\(624\) | 1.49317 | − | 24.7449i | 0.0597745 | − | 0.990588i | ||||
\(625\) | −78.2749 | + | 90.3340i | −3.13099 | + | 3.61336i | ||||
\(626\) | −2.21427 | + | 5.41436i | −0.0885000 | + | 0.216401i | ||||
\(627\) | −3.70152 | + | 4.87488i | −0.147825 | + | 0.194684i | ||||
\(628\) | −8.21876 | − | 1.71072i | −0.327964 | − | 0.0682653i | ||||
\(629\) | 8.16875 | + | 27.8202i | 0.325709 | + | 1.10926i | ||||
\(630\) | −26.0039 | + | 23.7689i | −1.03602 | + | 0.946977i | ||||
\(631\) | 8.80762 | + | 4.02231i | 0.350626 | + | 0.160126i | 0.582940 | − | 0.812515i | \(-0.301902\pi\) |
−0.232314 | + | 0.972641i | \(0.574630\pi\) | |||||||
\(632\) | 2.17112 | − | 13.0364i | 0.0863626 | − | 0.518562i | ||||
\(633\) | 2.04245 | − | 1.50729i | 0.0811799 | − | 0.0599095i | ||||
\(634\) | −0.904185 | − | 22.4854i | −0.0359098 | − | 0.893009i | ||||
\(635\) | 29.0803 | − | 33.5604i | 1.15401 | − | 1.33180i | ||||
\(636\) | 11.3906 | − | 1.66271i | 0.451666 | − | 0.0659309i | ||||
\(637\) | 1.78931 | + | 12.4449i | 0.0708950 | + | 0.493086i | ||||
\(638\) | −1.88268 | + | 7.51696i | −0.0745359 | + | 0.297599i | ||||
\(639\) | −11.8129 | − | 10.5219i | −0.467310 | − | 0.416241i | ||||
\(640\) | 49.8343 | − | 6.94823i | 1.96988 | − | 0.274653i | ||||
\(641\) | 21.5900i | 0.852753i | 0.904546 | + | 0.426376i | \(0.140210\pi\) | ||||
−0.904546 | + | 0.426376i | \(0.859790\pi\) | |||||||
\(642\) | 10.8482 | + | 13.5264i | 0.428143 | + | 0.533846i | ||||
\(643\) | −8.08860 | − | 12.5861i | −0.318983 | − | 0.496347i | 0.644323 | − | 0.764754i | \(-0.277139\pi\) |
−0.963306 | + | 0.268406i | \(0.913503\pi\) | |||||||
\(644\) | −2.70543 | − | 0.981486i | −0.106609 | − | 0.0386760i | ||||
\(645\) | 13.6193 | − | 24.5418i | 0.536260 | − | 0.966333i | ||||
\(646\) | −13.9463 | − | 14.8452i | −0.548712 | − | 0.584077i | ||||
\(647\) | −9.96506 | − | 11.5003i | −0.391767 | − | 0.452123i | 0.525264 | − | 0.850939i | \(-0.323967\pi\) |
−0.917031 | + | 0.398816i | \(0.869421\pi\) | |||||||
\(648\) | −25.3453 | + | 2.37018i | −0.995656 | + | 0.0931093i | ||||
\(649\) | 14.0478 | − | 9.02800i | 0.551426 | − | 0.354380i | ||||
\(650\) | 28.3088 | − | 69.2210i | 1.11036 | − | 2.71507i | ||||
\(651\) | −24.0840 | + | 23.7571i | −0.943925 | + | 0.931115i | ||||
\(652\) | −16.8833 | − | 22.1363i | −0.661202 | − | 0.866923i | ||||
\(653\) | −8.27837 | − | 28.1936i | −0.323958 | − | 1.10330i | −0.947033 | − | 0.321137i | \(-0.895935\pi\) |
0.623075 | − | 0.782162i | \(-0.285883\pi\) | |||||||
\(654\) | 8.39430 | − | 4.95403i | 0.328243 | − | 0.193718i | ||||
\(655\) | −69.7782 | + | 10.0326i | −2.72646 | + | 0.392006i | ||||
\(656\) | −15.1865 | + | 0.272812i | −0.592934 | + | 0.0106515i | ||||
\(657\) | 14.5060 | − | 1.88373i | 0.565934 | − | 0.0734915i | ||||
\(658\) | −9.35134 | − | 7.46677i | −0.364553 | − | 0.291085i | ||||
\(659\) | 24.1499 | + | 15.5202i | 0.940748 | + | 0.604582i | 0.918607 | − | 0.395173i | \(-0.129315\pi\) |
0.0221413 | + | 0.999755i | \(0.492952\pi\) | |||||||
\(660\) | 16.4343 | + | 14.1787i | 0.639705 | + | 0.551904i | ||||
\(661\) | −3.49895 | + | 24.3357i | −0.136093 | + | 0.946551i | 0.801296 | + | 0.598268i | \(0.204144\pi\) |
−0.937390 | + | 0.348283i | \(0.886765\pi\) | |||||||
\(662\) | −1.87791 | − | 46.7000i | −0.0729869 | − | 1.81505i | ||||
\(663\) | 16.8407 | + | 31.3486i | 0.654037 | + | 1.21748i | ||||
\(664\) | −21.2380 | + | 9.13417i | −0.824194 | + | 0.354474i | ||||
\(665\) | −11.2609 | + | 17.5223i | −0.436678 | + | 0.679484i | ||||
\(666\) | 21.2790 | + | 2.48538i | 0.824544 | + | 0.0963063i | ||||
\(667\) | 2.26530 | − | 1.96290i | 0.0877129 | − | 0.0760036i | ||||
\(668\) | 22.0309 | + | 21.6387i | 0.852401 | + | 0.837226i | ||||
\(669\) | −29.8893 | + | 22.0578i | −1.15559 | + | 0.852804i | ||||
\(670\) | 48.5728 | − | 17.0616i | 1.87653 | − | 0.659149i | ||||
\(671\) | 13.6878 | 0.528412 | ||||||||
\(672\) | 17.4460 | + | 5.50541i | 0.672993 | + | 0.212376i | ||||
\(673\) | 27.7847 | + | 32.0653i | 1.07102 | + | 1.23603i | 0.970503 | + | 0.241091i | \(0.0775051\pi\) |
0.100520 | + | 0.994935i | \(0.467949\pi\) | |||||||
\(674\) | 1.41568 | + | 7.64983i | 0.0545300 | + | 0.294660i | ||||
\(675\) | −74.6897 | − | 17.8584i | −2.87481 | − | 0.687370i | ||||
\(676\) | 0.0245919 | − | 0.393471i | 0.000945842 | − | 0.0151335i | ||||
\(677\) | −13.0889 | − | 1.88190i | −0.503047 | − | 0.0723272i | −0.113880 | − | 0.993495i | \(-0.536328\pi\) |
−0.389167 | + | 0.921167i | \(0.627237\pi\) | |||||||
\(678\) | 34.3990 | − | 27.5878i | 1.32108 | − | 1.05950i | ||||
\(679\) | 13.2140 | + | 1.89989i | 0.507108 | + | 0.0729111i | ||||
\(680\) | −55.6248 | + | 46.0749i | −2.13311 | + | 1.76689i | ||||
\(681\) | −0.702525 | − | 10.8652i | −0.0269208 | − | 0.416357i | ||||
\(682\) | 16.2873 | + | 13.0050i | 0.623674 | + | 0.497985i | ||||
\(683\) | −13.1324 | − | 28.7560i | −0.502499 | − | 1.10032i | −0.975649 | − | 0.219337i | \(-0.929610\pi\) |
0.473150 | − | 0.880982i | \(-0.343117\pi\) | |||||||
\(684\) | −14.1256 | + | 5.19335i | −0.540104 | + | 0.198573i | ||||
\(685\) | 1.52405 | + | 10.6000i | 0.0582311 | + | 0.405006i | ||||
\(686\) | −27.6159 | − | 2.84364i | −1.05438 | − | 0.108571i | ||||
\(687\) | 7.07678 | + | 5.37344i | 0.269996 | + | 0.205009i | ||||
\(688\) | −14.5723 | + | 0.261779i | −0.555565 | + | 0.00998021i | ||||
\(689\) | −11.7691 | + | 1.69215i | −0.448368 | + | 0.0644656i | ||||
\(690\) | −2.05728 | − | 8.13982i | −0.0783193 | − | 0.309878i | ||||
\(691\) | 26.0067 | + | 40.4672i | 0.989341 | + | 1.53945i | 0.834133 | + | 0.551563i | \(0.185968\pi\) |
0.155208 | + | 0.987882i | \(0.450395\pi\) | |||||||
\(692\) | 34.7872 | − | 7.89534i | 1.32241 | − | 0.300136i | ||||
\(693\) | 3.17991 | + | 7.22260i | 0.120795 | + | 0.274364i | ||||
\(694\) | −16.2327 | − | 17.2789i | −0.616184 | − | 0.655897i | ||||
\(695\) | 39.5101 | + | 86.5151i | 1.49870 | + | 3.28170i | ||||
\(696\) | −13.8586 | + | 13.0757i | −0.525308 | + | 0.495631i | ||||
\(697\) | 18.3424 | − | 11.7880i | 0.694769 | − | 0.446501i | ||||
\(698\) | −3.38144 | + | 0.135975i | −0.127989 | + | 0.00514672i | ||||
\(699\) | 11.8630 | − | 8.75475i | 0.448702 | − | 0.331135i | ||||
\(700\) | 44.4766 | + | 32.6756i | 1.68106 | + | 1.23502i | ||||
\(701\) | −42.2151 | − | 19.2790i | −1.59444 | − | 0.728157i | −0.597180 | − | 0.802107i | \(-0.703712\pi\) |
−0.997262 | + | 0.0739499i | \(0.976440\pi\) | |||||||
\(702\) | 26.1846 | − | 2.39191i | 0.988275 | − | 0.0902768i | ||||
\(703\) | 12.5371 | − | 1.80257i | 0.472847 | − | 0.0679852i | ||||
\(704\) | 2.09825 | − | 11.0739i | 0.0790807 | − | 0.417365i | ||||
\(705\) | 2.72827 | − | 34.8031i | 0.102753 | − | 1.31076i | ||||
\(706\) | 0.427823 | + | 10.6392i | 0.0161013 | + | 0.400410i | ||||
\(707\) | −5.16639 | −0.194302 | ||||||||
\(708\) | 41.0583 | − | 0.0882478i | 1.54307 | − | 0.00331656i | ||||
\(709\) | −10.1234 | + | 22.1672i | −0.380193 | + | 0.832506i | 0.618707 | + | 0.785621i | \(0.287657\pi\) |
−0.998900 | + | 0.0468848i | \(0.985071\pi\) | |||||||
\(710\) | −16.7952 | + | 28.5987i | −0.630314 | + | 1.07329i | ||||
\(711\) | 14.0164 | + | 0.191525i | 0.525655 | + | 0.00718273i | ||||
\(712\) | −5.22204 | + | 1.40804i | −0.195704 | + | 0.0527686i | ||||
\(713\) | −2.27133 | − | 7.73542i | −0.0850618 | − | 0.289694i | ||||
\(714\) | −25.4604 | + | 6.43492i | −0.952831 | + | 0.240821i | ||||
\(715\) | −16.9437 | − | 14.6818i | −0.633657 | − | 0.549067i | ||||
\(716\) | −2.28888 | + | 36.6221i | −0.0855394 | + | 1.36863i | ||||
\(717\) | 5.48497 | − | 24.4099i | 0.204840 | − | 0.911604i | ||||
\(718\) | 7.34165 | − | 5.14641i | 0.273988 | − | 0.192062i | ||||
\(719\) | −15.1803 | − | 4.45733i | −0.566129 | − | 0.166230i | −0.0138708 | − | 0.999904i | \(-0.504415\pi\) |
−0.552258 | + | 0.833673i | \(0.686234\pi\) | |||||||
\(720\) | 15.2556 | + | 51.1417i | 0.568544 | + | 1.90594i | ||||
\(721\) | −16.2965 | − | 10.4731i | −0.606913 | − | 0.390039i | ||||
\(722\) | 14.7166 | − | 10.3161i | 0.547694 | − | 0.383927i | ||||
\(723\) | 12.1751 | + | 33.3365i | 0.452797 | + | 1.23980i | ||||
\(724\) | 35.8976 | + | 7.47204i | 1.33412 | + | 0.277696i | ||||
\(725\) | −52.2859 | + | 23.8782i | −1.94185 | + | 0.886812i | ||||
\(726\) | −19.0175 | + | 11.2235i | −0.705804 | + | 0.416542i | ||||
\(727\) | −18.8044 | − | 16.2941i | −0.697418 | − | 0.604316i | 0.232276 | − | 0.972650i | \(-0.425383\pi\) |
−0.929693 | + | 0.368334i | \(0.879928\pi\) | |||||||
\(728\) | −18.0079 | − | 5.72532i | −0.667417 | − | 0.212194i | ||||
\(729\) | −6.53877 | − | 26.1963i | −0.242177 | − | 0.970232i | ||||
\(730\) | −9.81534 | − | 29.0543i | −0.363282 | − | 1.07535i | ||||
\(731\) | 17.6006 | − | 11.3112i | 0.650982 | − | 0.418360i | ||||
\(732\) | 28.3516 | + | 18.1345i | 1.04791 | + | 0.670271i | ||||
\(733\) | −28.8697 | − | 8.47692i | −1.06633 | − | 0.313102i | −0.298931 | − | 0.954275i | \(-0.596630\pi\) |
−0.767397 | + | 0.641173i | \(0.778448\pi\) | |||||||
\(734\) | 34.0947 | + | 13.9435i | 1.25846 | + | 0.514662i | ||||
\(735\) | −12.8094 | − | 23.8446i | −0.472483 | − | 0.879520i | ||||
\(736\) | −3.12333 | + | 3.04166i | −0.115128 | + | 0.112117i | ||||
\(737\) | −0.138456 | − | 11.5313i | −0.00510009 | − | 0.424760i | ||||
\(738\) | −2.71489 | − | 15.8799i | −0.0999365 | − | 0.584548i | ||||
\(739\) | −8.25248 | − | 1.18653i | −0.303573 | − | 0.0436471i | −0.0111547 | − | 0.999938i | \(-0.503551\pi\) |
−0.292418 | + | 0.956291i | \(0.594460\pi\) | |||||||
\(740\) | −3.60642 | − | 44.7700i | −0.132575 | − | 1.64578i | ||||
\(741\) | 14.6019 | − | 5.33290i | 0.536416 | − | 0.195909i | ||||
\(742\) | 0.898766 | − | 8.72835i | 0.0329947 | − | 0.320428i | ||||
\(743\) | 14.0889 | − | 9.05441i | 0.516873 | − | 0.332174i | −0.256061 | − | 0.966661i | \(-0.582425\pi\) |
0.772934 | + | 0.634487i | \(0.218788\pi\) | |||||||
\(744\) | 16.5062 | + | 48.5158i | 0.605148 | + | 1.77868i | ||||
\(745\) | 16.9847 | − | 37.1914i | 0.622272 | − | 1.36259i | ||||
\(746\) | 12.3464 | − | 4.17096i | 0.452035 | − | 0.152710i | ||||
\(747\) | −12.9741 | − | 20.8079i | −0.474699 | − | 0.761320i | ||||
\(748\) | 5.79004 | + | 15.1079i | 0.211705 | + | 0.552400i | ||||
\(749\) | 12.0224 | − | 5.49047i | 0.439291 | − | 0.200617i | ||||
\(750\) | −4.05166 | + | 106.456i | −0.147946 | + | 3.88722i | ||||
\(751\) | −8.83915 | + | 30.1034i | −0.322545 | + | 1.09849i | 0.625466 | + | 0.780251i | \(0.284909\pi\) |
−0.948011 | + | 0.318237i | \(0.896909\pi\) | |||||||
\(752\) | −16.3516 | + | 7.82548i | −0.596282 | + | 0.285366i | ||||
\(753\) | 2.75150 | + | 42.5548i | 0.100270 | + | 1.55078i | ||||
\(754\) | 14.3437 | − | 13.4752i | 0.522366 | − | 0.490738i | ||||
\(755\) | 17.5258 | + | 5.14604i | 0.637829 | + | 0.187283i | ||||
\(756\) | −2.98240 | + | 19.1732i | −0.108469 | + | 0.697322i | ||||
\(757\) | −15.2934 | − | 17.6495i | −0.555847 | − | 0.641481i | 0.406389 | − | 0.913700i | \(-0.366788\pi\) |
−0.962235 | + | 0.272219i | \(0.912242\pi\) | |||||||
\(758\) | −20.8387 | + | 35.4839i | −0.756896 | + | 1.28883i | ||||
\(759\) | −1.87492 | − | 0.146978i | −0.0680553 | − | 0.00533496i | ||||
\(760\) | 16.4644 | + | 26.9163i | 0.597227 | + | 0.976356i | ||||
\(761\) | −8.38471 | − | 28.5557i | −0.303946 | − | 1.03514i | −0.959900 | − | 0.280343i | \(-0.909552\pi\) |
0.655954 | − | 0.754801i | \(-0.272266\pi\) | |||||||
\(762\) | 0.930185 | − | 24.4403i | 0.0336970 | − | 0.885378i | ||||
\(763\) | −2.09321 | − | 7.12881i | −0.0757792 | − | 0.258080i | ||||
\(764\) | 2.15531 | − | 34.4850i | 0.0779764 | − | 1.24762i | ||||
\(765\) | −57.2074 | − | 50.9555i | −2.06834 | − | 1.84230i | ||||
\(766\) | 2.36795 | + | 4.67797i | 0.0855576 | + | 0.169022i | ||||
\(767\) | −42.4097 | −1.53133 | ||||||||
\(768\) | 19.0176 | − | 20.1576i | 0.686239 | − | 0.727376i | ||||
\(769\) | 27.1646 | − | 31.3496i | 0.979581 | − | 1.13050i | −0.0118587 | − | 0.999930i | \(-0.503775\pi\) |
0.991440 | − | 0.130567i | \(-0.0416797\pi\) | |||||||
\(770\) | 13.5478 | − | 9.49688i | 0.488230 | − | 0.342244i | ||||
\(771\) | −35.3257 | − | 35.8117i | −1.27222 | − | 1.28973i | ||||
\(772\) | 0.358049 | + | 1.57758i | 0.0128865 | + | 0.0567783i | ||||
\(773\) | −25.3022 | − | 11.5551i | −0.910058 | − | 0.415609i | −0.0953249 | − | 0.995446i | \(-0.530389\pi\) |
−0.814733 | + | 0.579837i | \(0.803116\pi\) | |||||||
\(774\) | −2.60509 | − | 15.2377i | −0.0936381 | − | 0.547708i | ||||
\(775\) | 154.601i | 5.55344i | ||||||||
\(776\) | 11.3089 | − | 16.7656i | 0.405966 | − | 0.601850i | ||||
\(777\) | 5.81122 | − | 15.2612i | 0.208476 | − | 0.547494i | ||||
\(778\) | −0.192618 | + | 0.180955i | −0.00690568 | + | 0.00648755i | ||||
\(779\) | −3.95672 | − | 8.66401i | −0.141764 | − | 0.310420i | ||||
\(780\) | −15.6442 | − | 52.8586i | −0.560151 | − | 1.89264i | ||||
\(781\) | 4.86509 | + | 5.61461i | 0.174086 | + | 0.200906i | ||||
\(782\) | 1.52048 | − | 6.07080i | 0.0543721 | − | 0.217092i | ||||
\(783\) | −15.9267 | − | 12.4399i | −0.569174 | − | 0.444567i | ||||
\(784\) | −7.38529 | + | 11.9587i | −0.263760 | + | 0.427096i | ||||
\(785\) | −18.4777 | + | 2.65669i | −0.659497 | + | 0.0948213i | ||||
\(786\) | −26.5239 | + | 28.3553i | −0.946076 | + | 1.01140i | ||||
\(787\) | −1.43248 | − | 4.87857i | −0.0510623 | − | 0.173902i | 0.930014 | − | 0.367524i | \(-0.119795\pi\) |
−0.981076 | + | 0.193622i | \(0.937976\pi\) | |||||||
\(788\) | −14.0495 | − | 36.6592i | −0.500492 | − | 1.30593i | ||||
\(789\) | 10.4005 | − | 10.2594i | 0.370268 | − | 0.365244i | ||||
\(790\) | −5.34780 | − | 28.8976i | −0.190266 | − | 1.02813i | ||||
\(791\) | −13.9627 | − | 30.5741i | −0.496458 | − | 1.08709i | ||||
\(792\) | 11.9470 | + | 0.428983i | 0.424517 | + | 0.0152432i | ||||
\(793\) | −29.2444 | − | 18.7943i | −1.03850 | − | 0.667403i | ||||
\(794\) | 7.35185 | + | 1.84132i | 0.260907 | + | 0.0653461i | ||||
\(795\) | 22.5497 | − | 12.1138i | 0.799757 | − | 0.429634i | ||||
\(796\) | −17.1354 | + | 9.55740i | −0.607348 | + | 0.338753i | ||||
\(797\) | 12.0318 | + | 1.72991i | 0.426188 | + | 0.0612766i | 0.352072 | − | 0.935973i | \(-0.385477\pi\) |
0.0741165 | + | 0.997250i | \(0.476386\pi\) | |||||||
\(798\) | 1.19958 | + | 11.4090i | 0.0424647 | + | 0.403874i | ||||
\(799\) | 14.0687 | − | 21.8913i | 0.497714 | − | 0.774458i | ||||
\(800\) | 73.9017 | − | 39.0915i | 2.61282 | − | 1.38209i | ||||
\(801\) | −2.31156 | − | 5.25029i | −0.0816750 | − | 0.185510i | ||||
\(802\) | 2.41255 | + | 7.14137i | 0.0851901 | + | 0.252170i | ||||
\(803\) | −6.86957 | −0.242422 | ||||||||
\(804\) | 14.9906 | − | 24.0683i | 0.528678 | − | 0.848822i | ||||
\(805\) | −6.39970 | −0.225560 | ||||||||
\(806\) | −16.9417 | − | 50.1491i | −0.596747 | − | 1.76643i | ||||
\(807\) | −24.7660 | − | 5.56497i | −0.871803 | − | 0.195896i | ||||
\(808\) | −3.40861 | + | 7.04507i | −0.119914 | + | 0.247845i | ||||
\(809\) | 25.2755 | − | 39.3295i | 0.888640 | − | 1.38275i | −0.0349576 | − | 0.999389i | \(-0.511130\pi\) |
0.923598 | − | 0.383363i | \(-0.125234\pi\) | |||||||
\(810\) | −51.1838 | + | 24.1753i | −1.79842 | + | 0.849435i | ||||
\(811\) | −18.8618 | − | 2.71192i | −0.662328 | − | 0.0952284i | −0.197051 | − | 0.980393i | \(-0.563136\pi\) |
−0.465277 | + | 0.885165i | \(0.654045\pi\) | |||||||
\(812\) | 7.07457 | + | 12.6839i | 0.248269 | + | 0.445119i | ||||
\(813\) | 15.5112 | + | 28.8738i | 0.544000 | + | 1.01265i | ||||
\(814\) | −9.75960 | − | 2.44436i | −0.342074 | − | 0.0856748i | ||||
\(815\) | −52.0798 | − | 33.4697i | −1.82428 | − | 1.17239i | ||||
\(816\) | −8.02301 | + | 38.9642i | −0.280861 | + | 1.36402i | ||||
\(817\) | −3.79670 | − | 8.31361i | −0.132830 | − | 0.290856i | ||||
\(818\) | 0.678069 | + | 3.66404i | 0.0237081 | + | 0.128110i | ||||
\(819\) | 3.12311 | − | 19.7975i | 0.109130 | − | 0.691782i | ||||
\(820\) | −31.5387 | + | 12.0871i | −1.10138 | + | 0.422099i | ||||
\(821\) | −4.75761 | − | 16.2029i | −0.166042 | − | 0.565486i | −0.999909 | − | 0.0135207i | \(-0.995696\pi\) |
0.833867 | − | 0.551966i | \(-0.186122\pi\) | |||||||
\(822\) | 4.30745 | + | 4.02925i | 0.150240 | + | 0.140536i | ||||
\(823\) | 33.6510 | − | 4.83828i | 1.17300 | − | 0.168652i | 0.471858 | − | 0.881674i | \(-0.343583\pi\) |
0.701141 | + | 0.713023i | \(0.252674\pi\) | |||||||
\(824\) | −25.0333 | + | 15.3126i | −0.872078 | + | 0.533441i | ||||
\(825\) | 33.7040 | + | 12.8339i | 1.17342 | + | 0.446819i | ||||
\(826\) | 7.60366 | − | 30.3591i | 0.264565 | − | 1.05633i | ||||
\(827\) | −19.0408 | − | 21.9743i | −0.662114 | − | 0.764120i | 0.321007 | − | 0.947077i | \(-0.395979\pi\) |
−0.983121 | + | 0.182956i | \(0.941433\pi\) | |||||||
\(828\) | −3.68881 | − | 2.78845i | −0.128195 | − | 0.0969055i | ||||
\(829\) | 4.28030 | + | 9.37256i | 0.148661 | + | 0.325522i | 0.969283 | − | 0.245950i | \(-0.0790998\pi\) |
−0.820622 | + | 0.571472i | \(0.806373\pi\) | |||||||
\(830\) | −37.4686 | + | 35.1999i | −1.30055 | + | 1.22181i | ||||
\(831\) | −29.2174 | − | 11.1255i | −1.01354 | − | 0.385939i | ||||
\(832\) | −19.6882 | + | 20.7788i | −0.682566 | + | 0.720375i | ||||
\(833\) | − | 20.1764i | − | 0.699070i | ||||||
\(834\) | 46.7879 | + | 23.5575i | 1.62013 | + | 0.815730i | ||||
\(835\) | 62.4628 | + | 28.5258i | 2.16162 | + | 0.987177i | ||||
\(836\) | 6.89254 | − | 1.56434i | 0.238383 | − | 0.0541039i | ||||
\(837\) | −48.2305 | + | 25.0666i | −1.66709 | + | 0.866430i | ||||
\(838\) | 11.3103 | − | 7.92839i | 0.390708 | − | 0.273882i | ||||
\(839\) | 5.71346 | − | 6.59368i | 0.197250 | − | 0.227639i | −0.648504 | − | 0.761211i | \(-0.724605\pi\) |
0.845755 | + | 0.533572i | \(0.179151\pi\) | |||||||
\(840\) | 40.6438 | − | 1.72188i | 1.40235 | − | 0.0594105i | ||||
\(841\) | 13.8736 | 0.478401 | ||||||||
\(842\) | 6.65677 | + | 13.1507i | 0.229407 | + | 0.453202i | ||||
\(843\) | 4.07359 | + | 19.3619i | 0.140302 | + | 0.666859i | ||||
\(844\) | −2.92539 | − | 0.182837i | −0.100696 | − | 0.00629351i | ||||
\(845\) | −0.246985 | − | 0.841153i | −0.00849654 | − | 0.0289365i | ||||
\(846\) | −10.8204 | − | 15.8937i | −0.372015 | − | 0.546435i | ||||
\(847\) | 4.74221 | + | 16.1505i | 0.162944 | + | 0.554937i | ||||
\(848\) | −11.3093 | − | 6.98425i | −0.388363 | − | 0.239840i | ||||
\(849\) | 1.64700 | − | 21.0099i | 0.0565248 | − | 0.721058i | ||||
\(850\) | −60.7749 | + | 103.487i | −2.08456 | + | 3.54957i | ||||
\(851\) | 2.54851 | + | 2.94114i | 0.0873619 | + | 0.100821i | ||||
\(852\) | 2.63848 | + | 18.0752i | 0.0903929 | + | 0.619245i | ||||
\(853\) | −19.5706 | − | 5.74644i | −0.670084 | − | 0.196754i | −0.0710437 | − | 0.997473i | \(-0.522633\pi\) |
−0.599040 | + | 0.800719i | \(0.704451\pi\) | |||||||
\(854\) | 18.6972 | − | 17.5651i | 0.639804 | − | 0.601065i | ||||
\(855\) | −25.5894 | + | 21.5683i | −0.875139 | + | 0.737620i | ||||
\(856\) | 0.445009 | − | 20.0166i | 0.0152101 | − | 0.684154i | ||||
\(857\) | −15.7172 | + | 53.5279i | −0.536889 | + | 1.82848i | 0.0227515 | + | 0.999741i | \(0.492757\pi\) |
−0.559641 | + | 0.828735i | \(0.689061\pi\) | |||||||
\(858\) | −12.3392 | − | 0.469623i | −0.421253 | − | 0.0160327i | ||||
\(859\) | −1.11819 | + | 0.510660i | −0.0381521 | + | 0.0174235i | −0.434400 | − | 0.900720i | \(-0.643039\pi\) |
0.396248 | + | 0.918144i | \(0.370312\pi\) | |||||||
\(860\) | −30.2632 | + | 11.5982i | −1.03197 | + | 0.395497i | ||||
\(861\) | −12.2426 | − | 0.959714i | −0.417225 | − | 0.0327070i | ||||
\(862\) | −18.4128 | + | 6.22035i | −0.627143 | + | 0.211866i | ||||
\(863\) | 12.2439 | − | 26.8104i | 0.416788 | − | 0.912638i | −0.578501 | − | 0.815682i | \(-0.696362\pi\) |
0.995289 | − | 0.0969560i | \(-0.0309106\pi\) | |||||||
\(864\) | 24.1775 | + | 16.7167i | 0.822536 | + | 0.568714i | ||||
\(865\) | 66.7310 | − | 42.8854i | 2.26892 | − | 1.45815i | ||||
\(866\) | −1.89265 | + | 18.3804i | −0.0643147 | + | 0.624592i | ||||
\(867\) | −9.48938 | − | 25.9828i | −0.322276 | − | 0.882421i | ||||
\(868\) | 38.9368 | − | 3.13654i | 1.32160 | − | 0.106461i | ||||
\(869\) | −6.51603 | − | 0.936863i | −0.221041 | − | 0.0317809i | ||||
\(870\) | −19.0537 | + | 37.8429i | −0.645981 | + | 1.28299i | ||||
\(871\) | −15.5374 | + | 24.8271i | −0.526464 | + | 0.841233i | ||||
\(872\) | −11.1021 | − | 1.84897i | −0.375965 | − | 0.0626142i | ||||
\(873\) | 19.3880 | + | 9.17638i | 0.656184 | + | 0.310573i | ||||
\(874\) | −2.53046 | − | 1.03486i | −0.0855940 | − | 0.0350047i | ||||
\(875\) | 77.9155 | + | 22.8781i | 2.63403 | + | 0.773420i | ||||
\(876\) | −14.2290 | − | 9.10126i | −0.480753 | − | 0.307503i | ||||
\(877\) | −11.0966 | + | 7.13133i | −0.374704 | + | 0.240808i | −0.714415 | − | 0.699722i | \(-0.753307\pi\) |
0.339711 | + | 0.940530i | \(0.389671\pi\) | |||||||
\(878\) | 11.4866 | + | 34.0014i | 0.387655 | + | 1.14749i | ||||
\(879\) | 7.24331 | + | 34.4277i | 0.244311 | + | 1.16122i | ||||
\(880\) | −4.01187 | − | 24.7400i | −0.135240 | − | 0.833985i | ||||
\(881\) | 17.7892 | + | 15.4144i | 0.599332 | + | 0.519324i | 0.900847 | − | 0.434137i | \(-0.142947\pi\) |
−0.301514 | + | 0.953462i | \(0.597492\pi\) | |||||||
\(882\) | −13.7202 | − | 5.83112i | −0.461984 | − | 0.196344i | ||||
\(883\) | −8.68773 | + | 3.96755i | −0.292365 | + | 0.133519i | −0.556198 | − | 0.831050i | \(-0.687740\pi\) |
0.263833 | + | 0.964568i | \(0.415013\pi\) | |||||||
\(884\) | 8.37354 | − | 40.2286i | 0.281633 | − | 1.35304i | ||||
\(885\) | 85.7606 | − | 31.3213i | 2.88281 | − | 1.05286i | ||||
\(886\) | 15.3025 | − | 10.7269i | 0.514097 | − | 0.360376i | ||||
\(887\) | 33.0438 | + | 21.2359i | 1.10950 | + | 0.713033i | 0.961184 | − | 0.275907i | \(-0.0889782\pi\) |
0.148316 | + | 0.988940i | \(0.452615\pi\) | |||||||
\(888\) | −16.9767 | − | 17.9932i | −0.569700 | − | 0.603812i | ||||
\(889\) | −17.8879 | − | 5.25238i | −0.599943 | − | 0.176159i | ||||
\(890\) | −9.84827 | + | 6.90352i | −0.330115 | + | 0.231407i | ||||
\(891\) | 1.46092 | + | 12.5954i | 0.0489428 | + | 0.421962i | ||||
\(892\) | 42.8104 | + | 2.67565i | 1.43340 | + | 0.0895872i | ||||
\(893\) | −8.59104 | − | 7.44418i | −0.287488 | − | 0.249110i | ||||
\(894\) | −5.51798 | − | 21.8324i | −0.184549 | − | 0.730185i | ||||
\(895\) | 22.9880 | + | 78.2899i | 0.768404 | + | 2.61694i | ||||
\(896\) | −11.3447 | − | 17.8193i | −0.378998 | − | 0.595301i | ||||
\(897\) | 3.80401 | + | 2.88841i | 0.127012 | + | 0.0964412i | ||||
\(898\) | 19.5640 | − | 33.3133i | 0.652859 | − | 1.11168i | ||||
\(899\) | −16.9009 | + | 37.0079i | −0.563678 | + | 1.23428i | ||||
\(900\) | 52.8081 | + | 71.2363i | 1.76027 | + | 2.37454i | ||||
\(901\) | 19.0807 | 0.635672 | ||||||||
\(902\) | 0.303991 | + | 7.55968i | 0.0101218 | + | 0.251710i | ||||
\(903\) | −11.7474 | − | 0.920900i | −0.390930 | − | 0.0306456i | ||||
\(904\) | −50.9041 | − | 1.13170i | −1.69304 | − | 0.0376397i | ||||
\(905\) | 80.7062 | − | 11.6038i | 2.68277 | − | 0.385723i | ||||
\(906\) | 9.30341 | − | 3.82810i | 0.309085 | − | 0.127180i | ||||
\(907\) | −37.9893 | − | 17.3491i | −1.26141 | − | 0.576069i | −0.331365 | − | 0.943503i | \(-0.607509\pi\) |
−0.930050 | + | 0.367434i | \(0.880236\pi\) | |||||||
\(908\) | −7.44361 | + | 10.1319i | −0.247025 | + | 0.336239i | ||||
\(909\) | −7.93214 | − | 2.44729i | −0.263092 | − | 0.0811715i | ||||
\(910\) | −41.9852 | + | 1.68831i | −1.39180 | + | 0.0559671i | ||||
\(911\) | 30.0718 | − | 19.3260i | 0.996323 | − | 0.640298i | 0.0625044 | − | 0.998045i | \(-0.480091\pi\) |
0.933819 | + | 0.357747i | \(0.116455\pi\) | |||||||
\(912\) | 16.3491 | + | 5.89147i | 0.541373 | + | 0.195086i | ||||
\(913\) | 4.78384 | + | 10.4751i | 0.158322 | + | 0.346677i | ||||
\(914\) | −27.1005 | − | 28.8472i | −0.896405 | − | 0.954180i | ||||
\(915\) | 73.0182 | + | 16.4074i | 2.41391 | + | 0.542411i | ||||
\(916\) | −2.27093 | − | 10.0058i | −0.0750335 | − | 0.330600i | ||||
\(917\) | 16.0008 | + | 24.8977i | 0.528392 | + | 0.822195i | ||||
\(918\) | −42.1384 | − | 2.18069i | −1.39077 | − | 0.0719736i | ||||
\(919\) | 46.2081 | − | 6.64372i | 1.52426 | − | 0.219156i | 0.671324 | − | 0.741164i | \(-0.265726\pi\) |
0.852940 | + | 0.522008i | \(0.174817\pi\) | |||||||
\(920\) | −4.22230 | + | 8.72684i | −0.139205 | + | 0.287715i | ||||
\(921\) | −11.3537 | + | 14.9528i | −0.374118 | + | 0.492711i | ||||
\(922\) | −28.8046 | − | 2.96604i | −0.948630 | − | 0.0976812i | ||||
\(923\) | −2.68518 | − | 18.6759i | −0.0883839 | − | 0.614724i | ||||
\(924\) | 2.54848 | − | 8.74884i | 0.0838388 | − | 0.287816i | ||||
\(925\) | −31.0020 | − | 67.8850i | −1.01934 | − | 2.23205i | ||||
\(926\) | −23.4973 | − | 18.7619i | −0.772169 | − | 0.616555i | ||||
\(927\) | −20.0595 | − | 23.7993i | −0.658840 | − | 0.781671i | ||||
\(928\) | 21.9638 | − | 1.27869i | 0.720997 | − | 0.0419752i | ||||
\(929\) | 3.28520 | + | 0.472341i | 0.107784 | + | 0.0154970i | 0.195996 | − | 0.980605i | \(-0.437206\pi\) |
−0.0882117 | + | 0.996102i | \(0.528115\pi\) | |||||||
\(930\) | 71.2966 | + | 88.8989i | 2.33791 | + | 2.91511i | ||||
\(931\) | −8.72415 | − | 1.25434i | −0.285923 | − | 0.0411095i | ||||
\(932\) | −16.9914 | − | 1.06196i | −0.556573 | − | 0.0347858i | ||||
\(933\) | 0.932649 | + | 14.4244i | 0.0305336 | + | 0.472232i | ||||
\(934\) | −5.55207 | − | 30.0014i | −0.181669 | − | 0.981677i | ||||
\(935\) | 23.5606 | + | 27.1904i | 0.770514 | + | 0.889221i | ||||
\(936\) | −24.9361 | − | 17.3205i | −0.815061 | − | 0.566139i | ||||
\(937\) | −37.6322 | −1.22939 | −0.614696 | − | 0.788764i | \(-0.710721\pi\) | ||||
−0.614696 | + | 0.788764i | \(0.710721\pi\) | |||||||
\(938\) | −14.9868 | − | 15.5737i | −0.489337 | − | 0.508501i | ||||
\(939\) | 4.25413 | + | 5.76453i | 0.138828 | + | 0.188118i | ||||
\(940\) | −28.2466 | + | 28.7586i | −0.921303 | + | 0.938003i | ||||
\(941\) | −15.8146 | + | 13.7034i | −0.515542 | + | 0.446719i | −0.873362 | − | 0.487071i | \(-0.838065\pi\) |
0.357821 | + | 0.933790i | \(0.383520\pi\) | |||||||
\(942\) | −7.02368 | + | 7.50864i | −0.228844 | + | 0.244645i | ||||
\(943\) | 1.58219 | − | 2.46193i | 0.0515231 | − | 0.0801715i | ||||
\(944\) | −36.3821 | − | 30.3985i | −1.18414 | − | 0.989387i | ||||
\(945\) | 8.30577 | + | 42.3410i | 0.270187 | + | 1.37735i | ||||
\(946\) | 0.291697 | + | 7.25395i | 0.00948387 | + | 0.235846i | ||||
\(947\) | 6.13670 | − | 42.6817i | 0.199416 | − | 1.38697i | −0.606569 | − | 0.795031i | \(-0.707455\pi\) |
0.805985 | − | 0.591936i | \(-0.201636\pi\) | |||||||
\(948\) | −12.2555 | − | 10.5734i | −0.398040 | − | 0.343408i | ||||
\(949\) | 14.6771 | + | 9.43237i | 0.476437 | + | 0.306188i | ||||
\(950\) | 40.9688 | + | 32.7124i | 1.32920 | + | 1.06133i | ||||
\(951\) | −24.0990 | − | 13.3736i | −0.781465 | − | 0.433669i | ||||
\(952\) | 27.2965 | + | 13.2068i | 0.884685 | + | 0.428036i | ||||
\(953\) | 5.11450 | − | 0.735354i | 0.165675 | − | 0.0238204i | −0.0589782 | − | 0.998259i | \(-0.518784\pi\) |
0.224653 | + | 0.974439i | \(0.427875\pi\) | |||||||
\(954\) | 5.51448 | − | 12.9752i | 0.178538 | − | 0.420087i | ||||
\(955\) | −21.6465 | − | 73.7213i | −0.700465 | − | 2.38557i | ||||
\(956\) | −22.9704 | + | 17.5195i | −0.742915 | + | 0.566621i | ||||
\(957\) | 6.66495 | + | 6.75665i | 0.215447 | + | 0.218411i | ||||
\(958\) | 7.35924 | − | 17.9949i | 0.237766 | − | 0.581389i | ||||
\(959\) | 3.78221 | − | 2.43068i | 0.122134 | − | 0.0784908i | ||||
\(960\) | 24.4674 | − | 56.5593i | 0.789681 | − | 1.82544i | ||||
\(961\) | 51.3585 | + | 59.2709i | 1.65673 | + | 1.91196i | ||||
\(962\) | 17.4954 | + | 18.6230i | 0.564075 | + | 0.600431i | ||||
\(963\) | 21.0593 | − | 2.73473i | 0.678625 | − | 0.0881254i | ||||
\(964\) | 13.9758 | − | 38.5238i | 0.450131 | − | 1.24077i | ||||
\(965\) | 1.94483 | + | 3.02621i | 0.0626062 | + | 0.0974172i | ||||
\(966\) | −2.74970 | + | 2.20525i | −0.0884702 | + | 0.0709528i | ||||
\(967\) | − | 43.3712i | − | 1.39472i | −0.716719 | − | 0.697362i | \(-0.754357\pi\) | ||
0.716719 | − | 0.697362i | \(-0.245643\pi\) | |||||||
\(968\) | 25.1521 | + | 4.18889i | 0.808418 | + | 0.134636i | ||||
\(969\) | −24.4119 | + | 5.13607i | −0.784224 | + | 0.164994i | ||||
\(970\) | 10.9256 | − | 43.6227i | 0.350801 | − | 1.40064i | ||||
\(971\) | 5.57896 | + | 38.8025i | 0.179037 | + | 1.24523i | 0.858996 | + | 0.511982i | \(0.171089\pi\) |
−0.679959 | + | 0.733251i | \(0.738002\pi\) | |||||||
\(972\) | −13.6612 | + | 28.0245i | −0.438183 | + | 0.898886i | ||||
\(973\) | 26.1484 | − | 30.1768i | 0.838278 | − | 0.967424i | ||||
\(974\) | 1.17079 | + | 29.1154i | 0.0375145 | + | 0.932916i | ||||
\(975\) | −54.3879 | − | 73.6978i | −1.74181 | − | 2.36022i | ||||
\(976\) | −11.6166 | − | 37.0849i | −0.371838 | − | 1.18706i | ||||
\(977\) | −41.2800 | − | 18.8519i | −1.32066 | − | 0.603126i | −0.374623 | − | 0.927177i | \(-0.622228\pi\) |
−0.946040 | + | 0.324051i | \(0.894955\pi\) | |||||||
\(978\) | −33.9099 | + | 3.56540i | −1.08432 | + | 0.114009i | ||||
\(979\) | 0.759003 | + | 2.58493i | 0.0242578 | + | 0.0826146i | ||||
\(980\) | −6.36912 | + | 30.5989i | −0.203454 | + | 0.977446i | ||||
\(981\) | 0.163106 | − | 11.9366i | 0.00520759 | − | 0.381108i | ||||
\(982\) | 4.09800 | − | 10.0205i | 0.130772 | − | 0.319766i | ||||
\(983\) | 6.49826 | − | 7.49939i | 0.207262 | − | 0.239194i | −0.642595 | − | 0.766206i | \(-0.722142\pi\) |
0.849858 | + | 0.527012i | \(0.176688\pi\) | |||||||
\(984\) | −9.38592 | + | 16.0612i | −0.299212 | + | 0.512012i | ||||
\(985\) | −57.1695 | − | 65.9771i | −1.82157 | − | 2.10221i | ||||
\(986\) | −25.8612 | + | 18.1284i | −0.823589 | + | 0.577327i | ||||
\(987\) | −13.7667 | + | 5.02784i | −0.438198 | + | 0.160038i | ||||
\(988\) | −16.8741 | − | 6.12165i | −0.536836 | − | 0.194756i | ||||
\(989\) | 1.51820 | − | 2.36236i | 0.0482759 | − | 0.0751188i | ||||
\(990\) | 25.2991 | − | 8.16334i | 0.804057 | − | 0.259448i | ||||
\(991\) | 17.0087 | − | 57.9262i | 0.540298 | − | 1.84009i | −0.00215255 | − | 0.999998i | \(-0.500685\pi\) |
0.542450 | − | 0.840088i | \(-0.317497\pi\) | |||||||
\(992\) | 21.4121 | − | 55.1650i | 0.679835 | − | 1.75149i | ||||
\(993\) | −50.0514 | − | 27.7757i | −1.58833 | − | 0.881435i | ||||
\(994\) | 13.8506 | + | 1.42621i | 0.439315 | + | 0.0452366i | ||||
\(995\) | −28.5716 | + | 32.9734i | −0.905780 | + | 1.04533i | ||||
\(996\) | −3.96937 | + | 28.0352i | −0.125774 | + | 0.888329i | ||||
\(997\) | 15.9684 | − | 34.9659i | 0.505724 | − | 1.10738i | −0.468842 | − | 0.883282i | \(-0.655329\pi\) |
0.974566 | − | 0.224100i | \(-0.0719441\pi\) | |||||||
\(998\) | −0.345412 | − | 1.02245i | −0.0109338 | − | 0.0323651i | ||||
\(999\) | 16.1513 | − | 20.6783i | 0.511005 | − | 0.654234i |
(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 | 804.2.w.a.59.12 | ✓ | 1320 | |
3.2 | odd | 2 | inner | 804.2.w.a.59.121 | yes | 1320 | |
4.3 | odd | 2 | inner | 804.2.w.a.59.25 | yes | 1320 | |
12.11 | even | 2 | inner | 804.2.w.a.59.108 | yes | 1320 | |
67.25 | even | 11 | inner | 804.2.w.a.695.108 | yes | 1320 | |
201.92 | odd | 22 | inner | 804.2.w.a.695.25 | yes | 1320 | |
268.159 | odd | 22 | inner | 804.2.w.a.695.121 | yes | 1320 | |
804.695 | even | 22 | inner | 804.2.w.a.695.12 | yes | 1320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.w.a.59.12 | ✓ | 1320 | 1.1 | even | 1 | trivial | |
804.2.w.a.59.25 | yes | 1320 | 4.3 | odd | 2 | inner | |
804.2.w.a.59.108 | yes | 1320 | 12.11 | even | 2 | inner | |
804.2.w.a.59.121 | yes | 1320 | 3.2 | odd | 2 | inner | |
804.2.w.a.695.12 | yes | 1320 | 804.695 | even | 22 | inner | |
804.2.w.a.695.25 | yes | 1320 | 201.92 | odd | 22 | inner | |
804.2.w.a.695.108 | yes | 1320 | 67.25 | even | 11 | inner | |
804.2.w.a.695.121 | yes | 1320 | 268.159 | odd | 22 | inner |