Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(13,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bg (of order \(36\), degree \(12\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 13.8 | ||
Character | \(\chi\) | \(=\) | 432.13 |
Dual form | 432.2.bg.a.133.8 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31559 | + | 0.518866i | −0.930263 | + | 0.366893i | ||||
\(3\) | −1.54765 | + | 0.777673i | −0.893537 | + | 0.448990i | ||||
\(4\) | 1.46156 | − | 1.36523i | 0.730778 | − | 0.682615i | ||||
\(5\) | −4.10207 | + | 0.358885i | −1.83450 | + | 0.160498i | −0.951255 | − | 0.308407i | \(-0.900204\pi\) |
−0.883249 | + | 0.468905i | \(0.844649\pi\) | |||||||
\(6\) | 1.63257 | − | 1.82612i | 0.666493 | − | 0.745511i | ||||
\(7\) | 0.659902 | − | 1.81306i | 0.249419 | − | 0.685274i | −0.750289 | − | 0.661110i | \(-0.770085\pi\) |
0.999708 | − | 0.0241637i | \(-0.00769229\pi\) | |||||||
\(8\) | −1.21444 | + | 2.55443i | −0.429369 | + | 0.903129i | ||||
\(9\) | 1.79045 | − | 2.40713i | 0.596817 | − | 0.802378i | ||||
\(10\) | 5.21044 | − | 2.60057i | 1.64768 | − | 0.822373i | ||||
\(11\) | 0.223055 | − | 2.54953i | 0.0672535 | − | 0.768711i | −0.885435 | − | 0.464763i | \(-0.846140\pi\) |
0.952689 | − | 0.303948i | \(-0.0983049\pi\) | |||||||
\(12\) | −1.20028 | + | 3.24951i | −0.346491 | + | 0.938053i | ||||
\(13\) | −0.661708 | + | 0.463333i | −0.183525 | + | 0.128505i | −0.661729 | − | 0.749743i | \(-0.730177\pi\) |
0.478204 | + | 0.878249i | \(0.341288\pi\) | |||||||
\(14\) | 0.0725768 | + | 2.72765i | 0.0193970 | + | 0.728995i | ||||
\(15\) | 6.06948 | − | 3.74550i | 1.56713 | − | 0.967084i | ||||
\(16\) | 0.272296 | − | 3.99072i | 0.0680741 | − | 0.997680i | ||||
\(17\) | −0.422494 | + | 0.731781i | −0.102470 | + | 0.177483i | −0.912702 | − | 0.408627i | \(-0.866008\pi\) |
0.810232 | + | 0.586110i | \(0.199341\pi\) | |||||||
\(18\) | −1.10652 | + | 4.09580i | −0.260809 | + | 0.965390i | ||||
\(19\) | −1.32857 | + | 4.95828i | −0.304794 | + | 1.13751i | 0.628328 | + | 0.777948i | \(0.283740\pi\) |
−0.933122 | + | 0.359559i | \(0.882927\pi\) | |||||||
\(20\) | −5.50545 | + | 6.12480i | −1.23106 | + | 1.36955i | ||||
\(21\) | 0.388674 | + | 3.31918i | 0.0848156 | + | 0.724304i | ||||
\(22\) | 1.02941 | + | 3.46987i | 0.219472 | + | 0.739778i | ||||
\(23\) | 1.79779 | + | 4.93938i | 0.374864 | + | 1.02993i | 0.973455 | + | 0.228876i | \(0.0735052\pi\) |
−0.598591 | + | 0.801055i | \(0.704273\pi\) | |||||||
\(24\) | −0.106986 | − | 4.89781i | −0.0218384 | − | 0.999762i | ||||
\(25\) | 11.7742 | − | 2.07610i | 2.35483 | − | 0.415221i | ||||
\(26\) | 0.630129 | − | 0.952894i | 0.123578 | − | 0.186878i | ||||
\(27\) | −0.899030 | + | 5.11779i | −0.173018 | + | 0.984919i | ||||
\(28\) | −1.51077 | − | 3.55081i | −0.285508 | − | 0.671041i | ||||
\(29\) | 4.47569 | − | 6.39194i | 0.831114 | − | 1.18695i | −0.149062 | − | 0.988828i | \(-0.547625\pi\) |
0.980176 | − | 0.198126i | \(-0.0634856\pi\) | |||||||
\(30\) | −6.04154 | + | 8.07679i | −1.10303 | + | 1.47461i | ||||
\(31\) | −6.06802 | + | 2.20858i | −1.08985 | + | 0.396672i | −0.823564 | − | 0.567223i | \(-0.808018\pi\) |
−0.266283 | + | 0.963895i | \(0.585796\pi\) | |||||||
\(32\) | 1.71242 | + | 5.39144i | 0.302716 | + | 0.953081i | ||||
\(33\) | 1.63749 | + | 4.11924i | 0.285050 | + | 0.717068i | ||||
\(34\) | 0.176133 | − | 1.18194i | 0.0302066 | − | 0.202701i | ||||
\(35\) | −2.05628 | + | 7.67415i | −0.347575 | + | 1.29717i | ||||
\(36\) | −0.669445 | − | 5.96254i | −0.111574 | − | 0.993756i | ||||
\(37\) | −0.0658734 | − | 0.245843i | −0.0108295 | − | 0.0404163i | 0.960300 | − | 0.278971i | \(-0.0899932\pi\) |
−0.971129 | + | 0.238554i | \(0.923327\pi\) | |||||||
\(38\) | −0.824831 | − | 7.21241i | −0.133805 | − | 1.17001i | ||||
\(39\) | 0.663772 | − | 1.23167i | 0.106289 | − | 0.197225i | ||||
\(40\) | 4.06497 | − | 10.9143i | 0.642728 | − | 1.72571i | ||||
\(41\) | 6.33290 | + | 1.11666i | 0.989033 | + | 0.174393i | 0.644685 | − | 0.764449i | \(-0.276989\pi\) |
0.344349 | + | 0.938842i | \(0.388100\pi\) | |||||||
\(42\) | −2.23354 | − | 4.16501i | −0.344643 | − | 0.642675i | ||||
\(43\) | −0.865815 | + | 9.89631i | −0.132036 | + | 1.50917i | 0.584369 | + | 0.811488i | \(0.301342\pi\) |
−0.716405 | + | 0.697685i | \(0.754214\pi\) | |||||||
\(44\) | −3.15468 | − | 4.03080i | −0.475586 | − | 0.607666i | ||||
\(45\) | −6.48067 | + | 10.5168i | −0.966082 | + | 1.56775i | ||||
\(46\) | −4.92802 | − | 5.56539i | −0.726597 | − | 0.820572i | ||||
\(47\) | 2.91666 | + | 1.06158i | 0.425439 | + | 0.154847i | 0.545861 | − | 0.837876i | \(-0.316203\pi\) |
−0.120422 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(48\) | 2.68206 | + | 6.38800i | 0.387121 | + | 0.922029i | ||||
\(49\) | 2.51058 | + | 2.10662i | 0.358654 | + | 0.300946i | ||||
\(50\) | −14.4128 | + | 8.84052i | −2.03827 | + | 1.25024i | ||||
\(51\) | 0.0847871 | − | 1.46110i | 0.0118726 | − | 0.204596i | ||||
\(52\) | −0.334568 | + | 1.58057i | −0.0463962 | + | 0.219186i | ||||
\(53\) | −0.319942 | + | 0.319942i | −0.0439474 | + | 0.0439474i | −0.728739 | − | 0.684792i | \(-0.759893\pi\) |
0.684792 | + | 0.728739i | \(0.259893\pi\) | |||||||
\(54\) | −1.47269 | − | 7.19939i | −0.200408 | − | 0.979713i | ||||
\(55\) | 10.5384i | 1.42100i | ||||||||
\(56\) | 3.82995 | + | 3.88753i | 0.511798 | + | 0.519493i | ||||
\(57\) | −1.79976 | − | 8.70688i | −0.238384 | − | 1.15325i | ||||
\(58\) | −2.57161 | + | 10.7315i | −0.337669 | + | 1.40911i | ||||
\(59\) | 12.8464 | − | 1.12391i | 1.67245 | − | 0.146321i | 0.788859 | − | 0.614574i | \(-0.210672\pi\) |
0.883594 | + | 0.468253i | \(0.155116\pi\) | |||||||
\(60\) | 3.75743 | − | 13.7605i | 0.485082 | − | 1.77647i | ||||
\(61\) | 0.767663 | + | 1.64626i | 0.0982891 | + | 0.210782i | 0.949304 | − | 0.314360i | \(-0.101790\pi\) |
−0.851015 | + | 0.525142i | \(0.824012\pi\) | |||||||
\(62\) | 6.83707 | − | 6.05407i | 0.868309 | − | 0.768867i | ||||
\(63\) | −3.18277 | − | 4.83467i | −0.400991 | − | 0.609111i | ||||
\(64\) | −5.05027 | − | 6.20441i | −0.631284 | − | 0.775552i | ||||
\(65\) | 2.54809 | − | 2.13810i | 0.316052 | − | 0.265199i | ||||
\(66\) | −4.29159 | − | 4.56960i | −0.528259 | − | 0.562479i | ||||
\(67\) | 6.51434 | − | 4.56139i | 0.795853 | − | 0.557263i | −0.103426 | − | 0.994637i | \(-0.532981\pi\) |
0.899279 | + | 0.437375i | \(0.144092\pi\) | |||||||
\(68\) | 0.381550 | + | 1.64634i | 0.0462698 | + | 0.199648i | ||||
\(69\) | −6.62356 | − | 6.24634i | −0.797383 | − | 0.751971i | ||||
\(70\) | −1.27663 | − | 11.1630i | −0.152586 | − | 1.33423i | ||||
\(71\) | −0.00142217 | 0.000821091i | −0.000168781 | 9.74456e-5i | 0.499916 | − | 0.866074i | \(-0.333364\pi\) | ||
−0.500084 | + | 0.865977i | \(0.666698\pi\) | |||||||
\(72\) | 3.97447 | + | 7.49690i | 0.468396 | + | 0.883519i | ||||
\(73\) | 9.80470 | − | 5.66074i | 1.14755 | − | 0.662540i | 0.199263 | − | 0.979946i | \(-0.436145\pi\) |
0.948290 | + | 0.317406i | \(0.102812\pi\) | |||||||
\(74\) | 0.214222 | + | 0.289249i | 0.0249028 | + | 0.0336246i | ||||
\(75\) | −16.6078 | + | 12.3695i | −1.91770 | + | 1.42831i | ||||
\(76\) | 4.82741 | + | 9.06061i | 0.553742 | + | 1.03932i | ||||
\(77\) | −4.47526 | − | 2.08685i | −0.510003 | − | 0.237818i | ||||
\(78\) | −0.234180 | + | 1.96478i | −0.0265157 | + | 0.222468i | ||||
\(79\) | −1.07582 | − | 6.10127i | −0.121039 | − | 0.686446i | −0.983582 | − | 0.180462i | \(-0.942241\pi\) |
0.862543 | − | 0.505984i | \(-0.168870\pi\) | |||||||
\(80\) | 0.315229 | + | 16.4680i | 0.0352437 | + | 1.84117i | ||||
\(81\) | −2.58858 | − | 8.61970i | −0.287620 | − | 0.957745i | ||||
\(82\) | −8.91091 | + | 1.81686i | −0.984045 | + | 0.200638i | ||||
\(83\) | −4.75015 | + | 6.78392i | −0.521397 | + | 0.744632i | −0.990350 | − | 0.138591i | \(-0.955743\pi\) |
0.468953 | + | 0.883223i | \(0.344631\pi\) | |||||||
\(84\) | 5.09951 | + | 4.32054i | 0.556402 | + | 0.471410i | ||||
\(85\) | 1.47048 | − | 3.15345i | 0.159496 | − | 0.342039i | ||||
\(86\) | −3.99580 | − | 13.4687i | −0.430878 | − | 1.45237i | ||||
\(87\) | −1.95596 | + | 13.3731i | −0.209701 | + | 1.43375i | ||||
\(88\) | 6.24171 | + | 3.66602i | 0.665369 | + | 0.390799i | ||||
\(89\) | −14.7937 | + | 8.54116i | −1.56813 | + | 0.905361i | −0.571745 | + | 0.820432i | \(0.693733\pi\) |
−0.996387 | + | 0.0849297i | \(0.972933\pi\) | |||||||
\(90\) | 3.06910 | − | 17.1984i | 0.323512 | − | 1.81287i | ||||
\(91\) | 0.403390 | + | 1.50547i | 0.0422868 | + | 0.157816i | ||||
\(92\) | 9.37095 | + | 4.76479i | 0.976989 | + | 0.496764i | ||||
\(93\) | 7.67362 | − | 8.13704i | 0.795718 | − | 0.843772i | ||||
\(94\) | −4.38795 | + | 0.116754i | −0.452583 | + | 0.0120422i | ||||
\(95\) | 3.67043 | − | 20.8160i | 0.376578 | − | 2.13568i | ||||
\(96\) | −6.84300 | − | 7.01237i | −0.698411 | − | 0.715697i | ||||
\(97\) | 11.8407 | − | 9.93553i | 1.20224 | − | 1.00880i | 0.202679 | − | 0.979245i | \(-0.435035\pi\) |
0.999563 | − | 0.0295553i | \(-0.00940912\pi\) | |||||||
\(98\) | −4.39595 | − | 1.46880i | −0.444058 | − | 0.148371i | ||||
\(99\) | −5.73768 | − | 5.10172i | −0.576659 | − | 0.512742i | ||||
\(100\) | 14.3743 | − | 19.1088i | 1.43743 | − | 1.91088i | ||||
\(101\) | 13.0100 | − | 6.06666i | 1.29454 | − | 0.603655i | 0.351456 | − | 0.936204i | \(-0.385687\pi\) |
0.943086 | + | 0.332549i | \(0.107909\pi\) | |||||||
\(102\) | 0.646572 | + | 1.96621i | 0.0640201 | + | 0.194684i | ||||
\(103\) | −6.55269 | + | 7.80920i | −0.645656 | + | 0.769463i | −0.985252 | − | 0.171108i | \(-0.945265\pi\) |
0.339596 | + | 0.940571i | \(0.389710\pi\) | |||||||
\(104\) | −0.379949 | − | 2.25298i | −0.0372571 | − | 0.220923i | ||||
\(105\) | −2.78557 | − | 13.4760i | −0.271844 | − | 1.31513i | ||||
\(106\) | 0.254905 | − | 0.586919i | 0.0247586 | − | 0.0570066i | ||||
\(107\) | 2.71696 | − | 2.71696i | 0.262659 | − | 0.262659i | −0.563475 | − | 0.826133i | \(-0.690536\pi\) |
0.826133 | + | 0.563475i | \(0.190536\pi\) | |||||||
\(108\) | 5.67297 | + | 8.70732i | 0.545882 | + | 0.837862i | ||||
\(109\) | −7.44099 | − | 7.44099i | −0.712717 | − | 0.712717i | 0.254386 | − | 0.967103i | \(-0.418127\pi\) |
−0.967103 | + | 0.254386i | \(0.918127\pi\) | |||||||
\(110\) | −5.46801 | − | 13.8642i | −0.521354 | − | 1.32190i | ||||
\(111\) | 0.293135 | + | 0.329251i | 0.0278231 | + | 0.0312512i | ||||
\(112\) | −7.05575 | − | 3.12717i | −0.666705 | − | 0.295490i | ||||
\(113\) | −4.05974 | − | 3.40653i | −0.381908 | − | 0.320459i | 0.431543 | − | 0.902093i | \(-0.357969\pi\) |
−0.813451 | + | 0.581633i | \(0.802414\pi\) | |||||||
\(114\) | 6.88545 | + | 10.5209i | 0.644882 | + | 0.985368i | ||||
\(115\) | −9.14732 | − | 19.6165i | −0.852992 | − | 1.82925i | ||||
\(116\) | −2.18500 | − | 15.4525i | −0.202872 | − | 1.43473i | ||||
\(117\) | −0.0694508 | + | 2.42239i | −0.00642073 | + | 0.223950i | ||||
\(118\) | −16.3174 | + | 8.14414i | −1.50214 | + | 0.749729i | ||||
\(119\) | 1.04796 | + | 1.24891i | 0.0960665 | + | 0.114488i | ||||
\(120\) | 2.19661 | + | 20.0528i | 0.200523 | + | 1.83056i | ||||
\(121\) | 4.38256 | + | 0.772763i | 0.398414 | + | 0.0702512i | ||||
\(122\) | −1.86412 | − | 1.76749i | −0.168769 | − | 0.160021i | ||||
\(123\) | −10.6695 | + | 3.19672i | −0.962039 | + | 0.288239i | ||||
\(124\) | −5.85353 | + | 11.5122i | −0.525663 | + | 1.03383i | ||||
\(125\) | −27.6663 | + | 7.41315i | −2.47455 | + | 0.663052i | ||||
\(126\) | 6.69576 | + | 4.70902i | 0.596506 | + | 0.419513i | ||||
\(127\) | 6.78143 | + | 11.7458i | 0.601755 | + | 1.04227i | 0.992555 | + | 0.121795i | \(0.0388650\pi\) |
−0.390800 | + | 0.920476i | \(0.627802\pi\) | |||||||
\(128\) | 9.86335 | + | 5.54205i | 0.871805 | + | 0.489853i | ||||
\(129\) | −6.35611 | − | 15.9894i | −0.559624 | − | 1.40778i | ||||
\(130\) | −2.24286 | + | 4.13498i | −0.196711 | + | 0.362662i | ||||
\(131\) | 5.86573 | + | 2.73524i | 0.512492 | + | 0.238979i | 0.661620 | − | 0.749839i | \(-0.269869\pi\) |
−0.149129 | + | 0.988818i | \(0.547647\pi\) | |||||||
\(132\) | 8.01699 | + | 3.78496i | 0.697789 | + | 0.329438i | ||||
\(133\) | 8.11296 | + | 5.68076i | 0.703483 | + | 0.492584i | ||||
\(134\) | −6.20346 | + | 9.38099i | −0.535897 | + | 0.810394i | ||||
\(135\) | 1.85119 | − | 21.3162i | 0.159325 | − | 1.83461i | ||||
\(136\) | −1.35619 | − | 1.96794i | −0.116293 | − | 0.168749i | ||||
\(137\) | 1.90050 | − | 0.335109i | 0.162371 | − | 0.0286303i | −0.0918718 | − | 0.995771i | \(-0.529285\pi\) |
0.254242 | + | 0.967141i | \(0.418174\pi\) | |||||||
\(138\) | 11.9549 | + | 4.78089i | 1.01767 | + | 0.406976i | ||||
\(139\) | 3.10434 | − | 6.65728i | 0.263307 | − | 0.564663i | −0.729557 | − | 0.683920i | \(-0.760274\pi\) |
0.992863 | + | 0.119257i | \(0.0380513\pi\) | |||||||
\(140\) | 7.47161 | + | 14.0235i | 0.631466 | + | 1.18520i | ||||
\(141\) | −5.33954 | + | 0.625256i | −0.449670 | + | 0.0526561i | ||||
\(142\) | 0.00229703 | 0.000342304i | 0.000192763 | 2.87255e-5i | ||||||
\(143\) | 1.03368 | + | 1.79039i | 0.0864408 | + | 0.149720i | ||||
\(144\) | −9.11866 | − | 7.80064i | −0.759889 | − | 0.650053i | ||||
\(145\) | −16.0656 | + | 27.8265i | −1.33418 | + | 2.31086i | ||||
\(146\) | −9.96180 | + | 12.5345i | −0.824444 | + | 1.03737i | ||||
\(147\) | −5.52376 | − | 1.30791i | −0.455592 | − | 0.107875i | ||||
\(148\) | −0.431910 | − | 0.269381i | −0.0355028 | − | 0.0221430i | ||||
\(149\) | 4.41180 | + | 6.30070i | 0.361429 | + | 0.516174i | 0.958147 | − | 0.286277i | \(-0.0924178\pi\) |
−0.596718 | + | 0.802451i | \(0.703529\pi\) | |||||||
\(150\) | 15.4309 | − | 24.8905i | 1.25993 | − | 2.03230i | ||||
\(151\) | −8.22168 | − | 9.79822i | −0.669071 | − | 0.797368i | 0.319586 | − | 0.947557i | \(-0.396456\pi\) |
−0.988657 | + | 0.150190i | \(0.952012\pi\) | |||||||
\(152\) | −11.0521 | − | 9.41527i | −0.896447 | − | 0.763679i | ||||
\(153\) | 1.00504 | + | 2.32722i | 0.0812527 | + | 0.188144i | ||||
\(154\) | 6.97041 | + | 0.423379i | 0.561691 | + | 0.0341168i | ||||
\(155\) | 24.0988 | − | 11.2375i | 1.93566 | − | 0.902615i | ||||
\(156\) | −0.711372 | − | 2.70636i | −0.0569554 | − | 0.216682i | ||||
\(157\) | 0.833825 | + | 9.53066i | 0.0665465 | + | 0.760630i | 0.954015 | + | 0.299760i | \(0.0969067\pi\) |
−0.887468 | + | 0.460869i | \(0.847538\pi\) | |||||||
\(158\) | 4.58107 | + | 7.46856i | 0.364451 | + | 0.594167i | ||||
\(159\) | 0.246348 | − | 0.743968i | 0.0195367 | − | 0.0590005i | ||||
\(160\) | −8.95937 | − | 21.5015i | −0.708300 | − | 1.69984i | ||||
\(161\) | 10.1418 | 0.799283 | ||||||||
\(162\) | 7.87798 | + | 9.99687i | 0.618952 | + | 0.785428i | ||||
\(163\) | 10.8134 | + | 10.8134i | 0.846968 | + | 0.846968i | 0.989754 | − | 0.142785i | \(-0.0456059\pi\) |
−0.142785 | + | 0.989754i | \(0.545606\pi\) | |||||||
\(164\) | 10.7804 | − | 7.01380i | 0.841808 | − | 0.547686i | ||||
\(165\) | −8.19542 | − | 16.3098i | −0.638013 | − | 1.26971i | ||||
\(166\) | 2.72931 | − | 11.3896i | 0.211836 | − | 0.884001i | ||||
\(167\) | −11.4523 | + | 13.6484i | −0.886209 | + | 1.05614i | 0.111841 | + | 0.993726i | \(0.464325\pi\) |
−0.998050 | + | 0.0624171i | \(0.980119\pi\) | |||||||
\(168\) | −8.95065 | − | 3.03810i | −0.690558 | − | 0.234395i | ||||
\(169\) | −4.22308 | + | 11.6028i | −0.324852 | + | 0.892525i | ||||
\(170\) | −0.298329 | + | 4.91162i | −0.0228808 | + | 0.376704i | ||||
\(171\) | 9.55651 | + | 12.0756i | 0.730804 | + | 0.923443i | ||||
\(172\) | 12.2453 | + | 15.6461i | 0.933695 | + | 1.19300i | ||||
\(173\) | 12.9056 | + | 1.12909i | 0.981194 | + | 0.0858434i | 0.566451 | − | 0.824095i | \(-0.308316\pi\) |
0.414743 | + | 0.909939i | \(0.363871\pi\) | |||||||
\(174\) | −4.36561 | − | 18.6084i | −0.330956 | − | 1.41070i | ||||
\(175\) | 4.00568 | − | 22.7174i | 0.302801 | − | 1.71727i | ||||
\(176\) | −10.1137 | − | 1.58438i | −0.762349 | − | 0.119427i | ||||
\(177\) | −19.0077 | + | 11.7297i | −1.42870 | + | 0.881657i | ||||
\(178\) | 15.0308 | − | 18.9126i | 1.12660 | − | 1.41756i | ||||
\(179\) | 8.46944 | − | 2.26938i | 0.633035 | − | 0.169621i | 0.0719887 | − | 0.997405i | \(-0.477065\pi\) |
0.561047 | + | 0.827784i | \(0.310399\pi\) | |||||||
\(180\) | 4.88598 | + | 24.2185i | 0.364179 | + | 1.80514i | ||||
\(181\) | 16.5414 | + | 4.43226i | 1.22952 | + | 0.329448i | 0.814391 | − | 0.580317i | \(-0.197071\pi\) |
0.415125 | + | 0.909765i | \(0.363738\pi\) | |||||||
\(182\) | −1.31183 | − | 1.77128i | −0.0972397 | − | 0.131296i | ||||
\(183\) | −2.46832 | − | 1.95084i | −0.182464 | − | 0.144210i | ||||
\(184\) | −14.8006 | − | 1.40625i | −1.09112 | − | 0.103670i | ||||
\(185\) | 0.358447 | + | 0.984825i | 0.0263536 | + | 0.0724058i | ||||
\(186\) | −5.87331 | + | 14.6866i | −0.430652 | + | 1.07687i | ||||
\(187\) | 1.77146 | + | 1.24039i | 0.129542 | + | 0.0907060i | ||||
\(188\) | 5.71217 | − | 2.43036i | 0.416603 | − | 0.177252i | ||||
\(189\) | 8.68561 | + | 5.00724i | 0.631785 | + | 0.364223i | ||||
\(190\) | 5.97194 | + | 29.2898i | 0.433250 | + | 2.12491i | ||||
\(191\) | 1.37206 | + | 7.78135i | 0.0992789 | + | 0.563038i | 0.993352 | + | 0.115117i | \(0.0367244\pi\) |
−0.894073 | + | 0.447921i | \(0.852165\pi\) | |||||||
\(192\) | 12.6411 | + | 5.67481i | 0.912290 | + | 0.409544i | ||||
\(193\) | −13.9949 | + | 5.09371i | −1.00737 | + | 0.366653i | −0.792423 | − | 0.609972i | \(-0.791181\pi\) |
−0.214949 | + | 0.976625i | \(0.568958\pi\) | |||||||
\(194\) | −10.4223 | + | 19.2148i | −0.748279 | + | 1.37954i | ||||
\(195\) | −2.28081 | + | 5.29062i | −0.163332 | + | 0.378869i | ||||
\(196\) | 6.54538 | − | 0.348563i | 0.467527 | − | 0.0248974i | ||||
\(197\) | −13.8703 | − | 3.71653i | −0.988216 | − | 0.264792i | −0.271715 | − | 0.962378i | \(-0.587591\pi\) |
−0.716501 | + | 0.697586i | \(0.754257\pi\) | |||||||
\(198\) | 10.1955 | + | 3.73469i | 0.724566 | + | 0.265413i | ||||
\(199\) | −0.526785 | − | 0.304139i | −0.0373428 | − | 0.0215599i | 0.481212 | − | 0.876604i | \(-0.340197\pi\) |
−0.518555 | + | 0.855044i | \(0.673530\pi\) | |||||||
\(200\) | −8.99574 | + | 32.5977i | −0.636095 | + | 2.30500i | ||||
\(201\) | −6.53466 | + | 12.1255i | −0.460919 | + | 0.855265i | ||||
\(202\) | −13.9680 | + | 14.7317i | −0.982788 | + | 1.03652i | ||||
\(203\) | −8.63550 | − | 12.3328i | −0.606093 | − | 0.865590i | ||||
\(204\) | −1.87082 | − | 2.25124i | −0.130984 | − | 0.157618i | ||||
\(205\) | −26.3788 | − | 2.30785i | −1.84237 | − | 0.161187i | ||||
\(206\) | 4.56874 | − | 13.6737i | 0.318319 | − | 0.952690i | ||||
\(207\) | 15.1086 | + | 4.51619i | 1.05012 | + | 0.313897i | ||||
\(208\) | 1.66885 | + | 2.76685i | 0.115714 | + | 0.191847i | ||||
\(209\) | 12.3449 | + | 4.49318i | 0.853916 | + | 0.310800i | ||||
\(210\) | 10.6569 | + | 16.2836i | 0.735397 | + | 1.12368i | ||||
\(211\) | 1.67081 | + | 19.0974i | 0.115023 | + | 1.31472i | 0.806031 | + | 0.591873i | \(0.201611\pi\) |
−0.691008 | + | 0.722847i | \(0.742833\pi\) | |||||||
\(212\) | −0.0308191 | + | 0.904407i | −0.00211666 | + | 0.0621149i | ||||
\(213\) | 0.00283957 | 0.000164779i | 0.000194564 | 1.12904e-5i | ||||||
\(214\) | −2.16467 | + | 4.98415i | −0.147974 | + | 0.340710i | ||||
\(215\) | − | 40.9061i | − | 2.78977i | ||||||
\(216\) | −11.9812 | − | 8.51176i | −0.815220 | − | 0.579152i | ||||
\(217\) | 12.4591i | 0.845782i | ||||||||
\(218\) | 13.6502 | + | 5.92842i | 0.924506 | + | 0.401523i | ||||
\(219\) | −10.7720 | + | 16.3857i | −0.727907 | + | 1.10724i | ||||
\(220\) | 14.3873 | + | 15.4025i | 0.969993 | + | 1.03843i | ||||
\(221\) | −0.0594906 | − | 0.679981i | −0.00400177 | − | 0.0457404i | ||||
\(222\) | −0.556482 | − | 0.281062i | −0.0373486 | − | 0.0188637i | ||||
\(223\) | −18.8969 | − | 6.87790i | −1.26543 | − | 0.460578i | −0.379841 | − | 0.925052i | \(-0.624021\pi\) |
−0.885587 | + | 0.464474i | \(0.846243\pi\) | |||||||
\(224\) | 10.9051 | + | 0.453096i | 0.728625 | + | 0.0302738i | ||||
\(225\) | 16.0836 | − | 32.0592i | 1.07224 | − | 2.13728i | ||||
\(226\) | 7.10849 | + | 2.37514i | 0.472850 | + | 0.157992i | ||||
\(227\) | −12.2847 | − | 1.07477i | −0.815366 | − | 0.0713353i | −0.328160 | − | 0.944622i | \(-0.606428\pi\) |
−0.487206 | + | 0.873287i | \(0.661984\pi\) | |||||||
\(228\) | −14.5173 | − | 10.2685i | −0.961435 | − | 0.680049i | ||||
\(229\) | −9.16724 | − | 13.0922i | −0.605788 | − | 0.865155i | 0.392726 | − | 0.919656i | \(-0.371532\pi\) |
−0.998514 | + | 0.0545005i | \(0.982643\pi\) | |||||||
\(230\) | 22.2124 | + | 21.0610i | 1.46465 | + | 1.38872i | ||||
\(231\) | 8.54903 | − | 0.250575i | 0.562485 | − | 0.0164866i | ||||
\(232\) | 10.8924 | + | 19.1955i | 0.715118 | + | 1.26025i | ||||
\(233\) | 21.5026 | + | 12.4146i | 1.40868 | + | 0.813305i | 0.995262 | − | 0.0972345i | \(-0.0309997\pi\) |
0.413423 | + | 0.910539i | \(0.364333\pi\) | |||||||
\(234\) | −1.16553 | − | 3.22291i | −0.0761929 | − | 0.210688i | ||||
\(235\) | −12.3453 | − | 3.30793i | −0.805322 | − | 0.215785i | ||||
\(236\) | 17.2413 | − | 19.1809i | 1.12231 | − | 1.24857i | ||||
\(237\) | 6.40978 | + | 8.60600i | 0.416360 | + | 0.559020i | ||||
\(238\) | −2.02671 | − | 1.09931i | −0.131372 | − | 0.0712574i | ||||
\(239\) | −8.30427 | + | 3.02251i | −0.537159 | + | 0.195510i | −0.596332 | − | 0.802738i | \(-0.703376\pi\) |
0.0591732 | + | 0.998248i | \(0.481154\pi\) | |||||||
\(240\) | −13.2945 | − | 25.2415i | −0.858159 | − | 1.62933i | ||||
\(241\) | 3.34962 | + | 18.9966i | 0.215768 | + | 1.22368i | 0.879569 | + | 0.475771i | \(0.157831\pi\) |
−0.663801 | + | 0.747909i | \(0.731058\pi\) | |||||||
\(242\) | −6.16661 | + | 1.25732i | −0.396405 | + | 0.0808235i | ||||
\(243\) | 10.7095 | + | 11.3272i | 0.687017 | + | 0.726642i | ||||
\(244\) | 3.36950 | + | 1.35806i | 0.215710 | + | 0.0869411i | ||||
\(245\) | −11.0546 | − | 7.74052i | −0.706253 | − | 0.494524i | ||||
\(246\) | 12.3781 | − | 9.74163i | 0.789196 | − | 0.621104i | ||||
\(247\) | −1.41821 | − | 3.89650i | −0.0902386 | − | 0.247928i | ||||
\(248\) | 1.72757 | − | 18.1825i | 0.109701 | − | 1.15459i | ||||
\(249\) | 2.07591 | − | 14.1932i | 0.131555 | − | 0.899458i | ||||
\(250\) | 32.5510 | − | 24.1077i | 2.05871 | − | 1.52471i | ||||
\(251\) | −7.85682 | − | 2.10523i | −0.495918 | − | 0.132881i | 0.00218687 | − | 0.999998i | \(-0.499304\pi\) |
−0.498105 | + | 0.867117i | \(0.665971\pi\) | |||||||
\(252\) | −11.2522 | − | 2.72094i | −0.708824 | − | 0.171403i | ||||
\(253\) | 12.9941 | − | 3.48175i | 0.816930 | − | 0.218896i | ||||
\(254\) | −15.0161 | − | 11.9340i | −0.942193 | − | 0.748805i | ||||
\(255\) | 0.176565 | + | 6.02399i | 0.0110569 | + | 0.377237i | ||||
\(256\) | −15.8517 | − | 2.17332i | −0.990732 | − | 0.135832i | ||||
\(257\) | 3.15317 | − | 17.8825i | 0.196689 | − | 1.11548i | −0.713304 | − | 0.700855i | \(-0.752802\pi\) |
0.909993 | − | 0.414624i | \(-0.136087\pi\) | |||||||
\(258\) | 16.6584 | + | 17.7375i | 1.03710 | + | 1.10429i | ||||
\(259\) | −0.489199 | − | 0.0427994i | −0.0303974 | − | 0.00265943i | ||||
\(260\) | 0.805179 | − | 6.60369i | 0.0499351 | − | 0.409543i | ||||
\(261\) | −7.37277 | − | 22.2180i | −0.456363 | − | 1.37526i | ||||
\(262\) | −9.13612 | − | 0.554923i | −0.564432 | − | 0.0342833i | ||||
\(263\) | −0.879079 | + | 2.41525i | −0.0542064 | + | 0.148931i | −0.963841 | − | 0.266479i | \(-0.914140\pi\) |
0.909634 | + | 0.415410i | \(0.136362\pi\) | |||||||
\(264\) | −12.5110 | − | 0.819716i | −0.769996 | − | 0.0504501i | ||||
\(265\) | 1.19760 | − | 1.42725i | 0.0735681 | − | 0.0876750i | ||||
\(266\) | −13.6209 | − | 3.26401i | −0.835150 | − | 0.200129i | ||||
\(267\) | 16.2533 | − | 24.7234i | 0.994686 | − | 1.51305i | ||||
\(268\) | 3.29373 | − | 15.5603i | 0.201197 | − | 0.950497i | ||||
\(269\) | −20.8872 | − | 20.8872i | −1.27351 | − | 1.27351i | −0.944232 | − | 0.329281i | \(-0.893194\pi\) |
−0.329281 | − | 0.944232i | \(-0.606806\pi\) | |||||||
\(270\) | 8.62483 | + | 29.0039i | 0.524890 | + | 1.76512i | ||||
\(271\) | 10.8575 | 0.659546 | 0.329773 | − | 0.944060i | \(-0.393028\pi\) | ||||
0.329773 | + | 0.944060i | \(0.393028\pi\) | |||||||
\(272\) | 2.80529 | + | 1.88532i | 0.170096 | + | 0.114314i | ||||
\(273\) | −1.79507 | − | 2.01624i | −0.108643 | − | 0.122028i | ||||
\(274\) | −2.32640 | + | 1.42697i | −0.140543 | + | 0.0862064i | ||||
\(275\) | −2.66680 | − | 30.4816i | −0.160814 | − | 1.83811i | ||||
\(276\) | −18.2084 | − | 0.0866985i | −1.09602 | − | 0.00521864i | ||||
\(277\) | 1.83990 | − | 0.857959i | 0.110549 | − | 0.0515498i | −0.366557 | − | 0.930396i | \(-0.619464\pi\) |
0.477106 | + | 0.878846i | \(0.341686\pi\) | |||||||
\(278\) | −0.629807 | + | 10.3690i | −0.0377733 | + | 0.621891i | ||||
\(279\) | −5.54814 | + | 18.5609i | −0.332158 | + | 1.11121i | ||||
\(280\) | −17.1059 | − | 14.5724i | −1.02227 | − | 0.870870i | ||||
\(281\) | 9.35203 | + | 11.1453i | 0.557895 | + | 0.664874i | 0.969100 | − | 0.246669i | \(-0.0793362\pi\) |
−0.411204 | + | 0.911543i | \(0.634892\pi\) | |||||||
\(282\) | 6.70022 | − | 3.59308i | 0.398992 | − | 0.213965i | ||||
\(283\) | 11.6642 | + | 16.6582i | 0.693366 | + | 0.990229i | 0.999271 | + | 0.0381670i | \(0.0121519\pi\) |
−0.305906 | + | 0.952062i | \(0.598959\pi\) | |||||||
\(284\) | −0.00319956 | 0.000741519i | −0.000189859 | 4.40011e-5i | ||||||
\(285\) | 10.5075 | + | 35.0704i | 0.622412 | + | 2.07739i | ||||
\(286\) | −2.28887 | − | 1.81908i | −0.135344 | − | 0.107564i | ||||
\(287\) | 6.20367 | − | 10.7451i | 0.366191 | − | 0.634262i | ||||
\(288\) | 16.0439 | + | 5.53109i | 0.945397 | + | 0.325922i | ||||
\(289\) | 8.14300 | + | 14.1041i | 0.479000 | + | 0.829652i | ||||
\(290\) | 6.69758 | − | 44.9442i | 0.393295 | − | 2.63921i | ||||
\(291\) | −10.5987 | + | 24.5849i | −0.621306 | + | 1.44119i | ||||
\(292\) | 6.60191 | − | 21.6592i | 0.386347 | − | 1.26751i | ||||
\(293\) | −0.931102 | + | 1.99675i | −0.0543955 | + | 0.116652i | −0.931627 | − | 0.363416i | \(-0.881610\pi\) |
0.877231 | + | 0.480068i | \(0.159388\pi\) | |||||||
\(294\) | 7.94564 | − | 1.14541i | 0.463399 | − | 0.0668019i | ||||
\(295\) | −52.2934 | + | 9.22073i | −3.04464 | + | 0.536852i | ||||
\(296\) | 0.707989 | + | 0.130292i | 0.0411510 | + | 0.00757307i | ||||
\(297\) | 12.8474 | + | 3.43365i | 0.745482 | + | 0.199240i | ||||
\(298\) | −9.07334 | − | 6.00001i | −0.525605 | − | 0.347571i | ||||
\(299\) | −3.47818 | − | 2.43545i | −0.201149 | − | 0.140846i | ||||
\(300\) | −7.38596 | + | 40.7522i | −0.426428 | + | 2.35283i | ||||
\(301\) | 17.3713 | + | 8.10037i | 1.00126 | + | 0.466898i | ||||
\(302\) | 15.9003 | + | 8.62449i | 0.914961 | + | 0.496284i | ||||
\(303\) | −15.4171 | + | 19.5066i | −0.885686 | + | 1.12062i | ||||
\(304\) | 19.4253 | + | 6.65206i | 1.11412 | + | 0.381522i | ||||
\(305\) | −3.73983 | − | 6.47757i | −0.214142 | − | 0.370904i | ||||
\(306\) | −2.52973 | − | 2.54018i | −0.144615 | − | 0.145213i | ||||
\(307\) | −19.6861 | + | 5.27488i | −1.12355 | + | 0.301053i | −0.772318 | − | 0.635236i | \(-0.780903\pi\) |
−0.351229 | + | 0.936290i | \(0.614236\pi\) | |||||||
\(308\) | −9.38988 | + | 3.05971i | −0.535038 | + | 0.174343i | ||||
\(309\) | 4.06828 | − | 17.1818i | 0.231437 | − | 0.977436i | ||||
\(310\) | −25.8734 | + | 27.2880i | −1.46951 | + | 1.54985i | ||||
\(311\) | 33.2479 | + | 5.86250i | 1.88531 | + | 0.332432i | 0.992916 | − | 0.118816i | \(-0.0379099\pi\) |
0.892399 | + | 0.451248i | \(0.149021\pi\) | |||||||
\(312\) | 2.34011 | + | 3.19135i | 0.132483 | + | 0.180675i | ||||
\(313\) | −14.3312 | − | 17.0793i | −0.810049 | − | 0.965379i | 0.189816 | − | 0.981820i | \(-0.439211\pi\) |
−0.999865 | + | 0.0164408i | \(0.994766\pi\) | |||||||
\(314\) | −6.04211 | − | 12.1058i | −0.340976 | − | 0.683170i | ||||
\(315\) | 14.7910 | + | 18.6899i | 0.833381 | + | 1.05306i | ||||
\(316\) | −9.90200 | − | 7.44861i | −0.557031 | − | 0.419017i | ||||
\(317\) | 8.56789 | + | 18.3739i | 0.481221 | + | 1.03198i | 0.985693 | + | 0.168553i | \(0.0539094\pi\) |
−0.504472 | + | 0.863428i | \(0.668313\pi\) | |||||||
\(318\) | 0.0619262 | + | 1.10658i | 0.00347265 | + | 0.0620539i | ||||
\(319\) | −15.2981 | − | 12.8366i | −0.856529 | − | 0.718713i | ||||
\(320\) | 22.9433 | + | 23.6385i | 1.28257 | + | 1.32143i | ||||
\(321\) | −2.09200 | + | 6.31782i | −0.116764 | + | 0.352627i | ||||
\(322\) | −13.3424 | + | 5.26222i | −0.743544 | + | 0.293252i | ||||
\(323\) | −3.06706 | − | 3.06706i | −0.170656 | − | 0.170656i | ||||
\(324\) | −15.5512 | − | 9.06418i | −0.863957 | − | 0.503565i | ||||
\(325\) | −6.82913 | + | 6.82913i | −0.378812 | + | 0.378812i | ||||
\(326\) | −19.8366 | − | 8.61528i | −1.09865 | − | 0.477156i | ||||
\(327\) | 17.3027 | + | 5.72940i | 0.956842 | + | 0.316837i | ||||
\(328\) | −10.5434 | + | 14.8209i | −0.582160 | + | 0.818346i | ||||
\(329\) | 3.84942 | − | 4.58756i | 0.212225 | − | 0.252920i | ||||
\(330\) | 19.2444 | + | 17.2046i | 1.05937 | + | 0.947084i | ||||
\(331\) | 6.96348 | − | 3.24712i | 0.382747 | − | 0.178478i | −0.221715 | − | 0.975111i | \(-0.571166\pi\) |
0.604463 | + | 0.796633i | \(0.293388\pi\) | |||||||
\(332\) | 2.31899 | + | 16.4001i | 0.127271 | + | 0.900074i | ||||
\(333\) | −0.709720 | − | 0.281603i | −0.0388924 | − | 0.0154318i | ||||
\(334\) | 7.98493 | − | 23.8979i | 0.436916 | − | 1.30764i | ||||
\(335\) | −25.0853 | + | 21.0491i | −1.37056 | + | 1.15003i | ||||
\(336\) | 13.3518 | − | 0.647287i | 0.728398 | − | 0.0353124i | ||||
\(337\) | 1.82132 | − | 10.3292i | 0.0992136 | − | 0.562668i | −0.894161 | − | 0.447746i | \(-0.852227\pi\) |
0.993374 | − | 0.114922i | \(-0.0366619\pi\) | |||||||
\(338\) | −0.464460 | − | 17.4558i | −0.0252633 | − | 0.949469i | ||||
\(339\) | 8.93223 | + | 2.11497i | 0.485132 | + | 0.114869i | ||||
\(340\) | −2.15599 | − | 6.61648i | −0.116925 | − | 0.358829i | ||||
\(341\) | 4.27733 | + | 15.9632i | 0.231630 | + | 0.864455i | ||||
\(342\) | −18.8381 | − | 10.9280i | −1.01865 | − | 0.590918i | ||||
\(343\) | 17.1727 | − | 9.91466i | 0.927238 | − | 0.535341i | ||||
\(344\) | −24.2280 | − | 14.2301i | −1.30629 | − | 0.767238i | ||||
\(345\) | 29.4121 | + | 23.2459i | 1.58349 | + | 1.25152i | ||||
\(346\) | −17.5643 | + | 5.21085i | −0.944264 | + | 0.280137i | ||||
\(347\) | 6.94673 | − | 14.8973i | 0.372920 | − | 0.799729i | −0.626868 | − | 0.779126i | \(-0.715663\pi\) |
0.999788 | − | 0.0206037i | \(-0.00655884\pi\) | |||||||
\(348\) | 15.3986 | + | 22.2159i | 0.825453 | + | 1.19090i | ||||
\(349\) | 3.62654 | − | 5.17924i | 0.194124 | − | 0.277238i | −0.710276 | − | 0.703923i | \(-0.751430\pi\) |
0.904400 | + | 0.426685i | \(0.140319\pi\) | |||||||
\(350\) | 6.51742 | + | 31.9651i | 0.348371 | + | 1.70861i | ||||
\(351\) | −1.77634 | − | 3.80303i | −0.0948142 | − | 0.202991i | ||||
\(352\) | 14.1276 | − | 3.16327i | 0.753002 | − | 0.168603i | ||||
\(353\) | −2.81468 | − | 15.9628i | −0.149810 | − | 0.849616i | −0.963378 | − | 0.268146i | \(-0.913589\pi\) |
0.813568 | − | 0.581470i | \(-0.197522\pi\) | |||||||
\(354\) | 18.9202 | − | 25.2939i | 1.00559 | − | 1.34435i | ||||
\(355\) | 0.00612853 | + | 0.00285778i | 0.000325269 | + | 0.000151675i | ||||
\(356\) | −9.96122 | + | 32.6802i | −0.527944 | + | 1.73205i | ||||
\(357\) | −2.59313 | − | 1.11791i | −0.137243 | − | 0.0591660i | ||||
\(358\) | −9.96481 | + | 7.38007i | −0.526656 | + | 0.390049i | ||||
\(359\) | 2.67808 | − | 1.54619i | 0.141344 | − | 0.0816049i | −0.427660 | − | 0.903939i | \(-0.640662\pi\) |
0.569004 | + | 0.822335i | \(0.307329\pi\) | |||||||
\(360\) | −18.9941 | − | 29.3265i | −1.00108 | − | 1.54564i | ||||
\(361\) | −6.36497 | − | 3.67482i | −0.334998 | − | 0.193411i | ||||
\(362\) | −24.0615 | + | 2.75174i | −1.26464 | + | 0.144628i | ||||
\(363\) | −7.38363 | + | 2.21223i | −0.387540 | + | 0.116112i | ||||
\(364\) | 2.64489 | + | 1.64961i | 0.138630 | + | 0.0864633i | ||||
\(365\) | −38.1880 | + | 26.7395i | −1.99885 | + | 1.39961i | ||||
\(366\) | 4.25953 | + | 1.28578i | 0.222649 | + | 0.0672089i | ||||
\(367\) | 9.49482 | − | 7.96710i | 0.495625 | − | 0.415879i | −0.360412 | − | 0.932793i | \(-0.617364\pi\) |
0.856037 | + | 0.516914i | \(0.172919\pi\) | |||||||
\(368\) | 20.2012 | − | 5.82949i | 1.05306 | − | 0.303883i | ||||
\(369\) | 14.0267 | − | 13.2448i | 0.730201 | − | 0.689498i | ||||
\(370\) | −0.982562 | − | 1.10964i | −0.0510809 | − | 0.0576875i | ||||
\(371\) | 0.368945 | + | 0.791205i | 0.0191547 | + | 0.0410773i | ||||
\(372\) | 0.106509 | − | 22.3690i | 0.00552223 | − | 1.15978i | ||||
\(373\) | −14.6676 | + | 1.28325i | −0.759459 | + | 0.0664441i | −0.460305 | − | 0.887761i | \(-0.652260\pi\) |
−0.299154 | + | 0.954205i | \(0.596704\pi\) | |||||||
\(374\) | −2.97410 | − | 0.712693i | −0.153787 | − | 0.0368525i | ||||
\(375\) | 37.0527 | − | 32.9883i | 1.91339 | − | 1.70351i | ||||
\(376\) | −6.25384 | + | 6.16120i | −0.322517 | + | 0.317740i | ||||
\(377\) | 6.30333i | 0.324638i | ||||||||
\(378\) | −14.0248 | − | 2.08081i | −0.721357 | − | 0.107025i | ||||
\(379\) | 13.0497 | − | 13.0497i | 0.670318 | − | 0.670318i | −0.287471 | − | 0.957789i | \(-0.592815\pi\) |
0.957789 | + | 0.287471i | \(0.0928145\pi\) | |||||||
\(380\) | −23.0541 | − | 35.4348i | −1.18265 | − | 1.81777i | ||||
\(381\) | −19.6297 | − | 12.9046i | −1.00566 | − | 0.661125i | ||||
\(382\) | −5.84254 | − | 9.52515i | −0.298931 | − | 0.487349i | ||||
\(383\) | −7.75454 | − | 6.50683i | −0.396238 | − | 0.332483i | 0.422799 | − | 0.906223i | \(-0.361048\pi\) |
−0.819037 | + | 0.573740i | \(0.805492\pi\) | |||||||
\(384\) | −19.5749 | − | 0.906707i | −0.998929 | − | 0.0462702i | ||||
\(385\) | 19.1068 | + | 6.95430i | 0.973772 | + | 0.354424i | ||||
\(386\) | 15.7685 | − | 13.9627i | 0.802598 | − | 0.710682i | ||||
\(387\) | 22.2715 | + | 19.8030i | 1.13213 | + | 1.00664i | ||||
\(388\) | 3.74158 | − | 30.6866i | 0.189950 | − | 1.55788i | ||||
\(389\) | −0.106123 | + | 1.21299i | −0.00538066 | + | 0.0615012i | −0.998410 | − | 0.0563636i | \(-0.982049\pi\) |
0.993030 | + | 0.117865i | \(0.0376049\pi\) | |||||||
\(390\) | 0.255495 | − | 8.14372i | 0.0129375 | − | 0.412373i | ||||
\(391\) | −4.37410 | − | 0.771271i | −0.221208 | − | 0.0390049i | ||||
\(392\) | −8.43018 | + | 3.85474i | −0.425788 | + | 0.194694i | ||||
\(393\) | −11.2052 | + | 0.328430i | −0.565229 | + | 0.0165671i | ||||
\(394\) | 20.1760 | − | 2.30738i | 1.01645 | − | 0.116244i | ||||
\(395\) | 6.60274 | + | 24.6417i | 0.332220 | + | 1.23986i | ||||
\(396\) | −15.3510 | + | 0.376797i | −0.771415 | + | 0.0189348i | ||||
\(397\) | 7.69753 | − | 28.7276i | 0.386328 | − | 1.44180i | −0.449735 | − | 0.893162i | \(-0.648482\pi\) |
0.836063 | − | 0.548633i | \(-0.184852\pi\) | |||||||
\(398\) | 0.850841 | + | 0.126792i | 0.0426488 | + | 0.00635552i | ||||
\(399\) | −16.9738 | − | 2.48260i | −0.849753 | − | 0.124285i | ||||
\(400\) | −5.07909 | − | 47.5527i | −0.253954 | − | 2.37764i | ||||
\(401\) | −32.2740 | + | 11.7468i | −1.61169 | + | 0.586606i | −0.981773 | − | 0.190057i | \(-0.939133\pi\) |
−0.629915 | + | 0.776664i | \(0.716910\pi\) | |||||||
\(402\) | 2.30545 | − | 19.3428i | 0.114985 | − | 0.964729i | ||||
\(403\) | 2.99195 | − | 4.27294i | 0.149039 | − | 0.212850i | ||||
\(404\) | 10.7325 | − | 26.6284i | 0.533960 | − | 1.32481i | ||||
\(405\) | 13.7120 | + | 34.4296i | 0.681356 | + | 1.71082i | ||||
\(406\) | 17.7598 | + | 11.7442i | 0.881405 | + | 0.582855i | ||||
\(407\) | −0.641477 | + | 0.113110i | −0.0317968 | + | 0.00560664i | ||||
\(408\) | 3.62933 | + | 1.99101i | 0.179678 | + | 0.0985695i | ||||
\(409\) | −5.63079 | − | 15.4705i | −0.278425 | − | 0.764966i | −0.997542 | − | 0.0700766i | \(-0.977676\pi\) |
0.719117 | − | 0.694889i | \(-0.244547\pi\) | |||||||
\(410\) | 35.9011 | − | 10.6509i | 1.77303 | − | 0.526009i | ||||
\(411\) | −2.68070 | + | 1.99660i | −0.132229 | + | 0.0984849i | ||||
\(412\) | 1.08421 | + | 20.3595i | 0.0534153 | + | 1.00304i | ||||
\(413\) | 6.43961 | − | 24.0330i | 0.316873 | − | 1.18258i | ||||
\(414\) | −22.2200 | + | 1.89786i | −1.09205 | + | 0.0932748i | ||||
\(415\) | 17.0508 | − | 29.5329i | 0.836992 | − | 1.44971i | ||||
\(416\) | −3.63115 | − | 2.77414i | −0.178032 | − | 0.136013i | ||||
\(417\) | 0.372749 | + | 12.7173i | 0.0182536 | + | 0.622770i | ||||
\(418\) | −18.5722 | + | 0.494166i | −0.908397 | + | 0.0241704i | ||||
\(419\) | −21.9564 | + | 15.3741i | −1.07264 | + | 0.751072i | −0.969868 | − | 0.243633i | \(-0.921661\pi\) |
−0.102774 | + | 0.994705i | \(0.532772\pi\) | |||||||
\(420\) | −22.4691 | − | 15.8930i | −1.09638 | − | 0.775501i | ||||
\(421\) | −1.75969 | + | 20.1133i | −0.0857618 | + | 0.980262i | 0.824400 | + | 0.566008i | \(0.191513\pi\) |
−0.910161 | + | 0.414254i | \(0.864043\pi\) | |||||||
\(422\) | −12.1071 | − | 24.2575i | −0.589364 | − | 1.18083i | ||||
\(423\) | 7.77750 | − | 5.12009i | 0.378155 | − | 0.248947i | ||||
\(424\) | −0.428720 | − | 1.20582i | −0.0208205 | − | 0.0585598i | ||||
\(425\) | −3.45526 | + | 9.49326i | −0.167605 | + | 0.460491i | ||||
\(426\) | −0.00382120 | + | 0.00125657i | −0.000185138 | + | 6.08811e-5i | ||||
\(427\) | 3.49135 | − | 0.305454i | 0.168958 | − | 0.0147819i | ||||
\(428\) | 0.261718 | − | 7.68028i | 0.0126506 | − | 0.371240i | ||||
\(429\) | −2.99212 | − | 1.96703i | −0.144461 | − | 0.0949692i | ||||
\(430\) | 21.2248 | + | 53.8157i | 1.02355 | + | 2.59522i | ||||
\(431\) | 6.38373 | 0.307493 | 0.153747 | − | 0.988110i | \(-0.450866\pi\) | ||||
0.153747 | + | 0.988110i | \(0.450866\pi\) | |||||||
\(432\) | 20.1789 | + | 4.98133i | 0.970856 | + | 0.239664i | ||||
\(433\) | −3.98243 | −0.191383 | −0.0956917 | − | 0.995411i | \(-0.530506\pi\) | ||||
−0.0956917 | + | 0.995411i | \(0.530506\pi\) | |||||||
\(434\) | −6.46462 | − | 16.3911i | −0.310312 | − | 0.786800i | ||||
\(435\) | 3.22409 | − | 55.5595i | 0.154583 | − | 2.66387i | ||||
\(436\) | −21.0341 | − | 0.716770i | −1.00735 | − | 0.0343270i | ||||
\(437\) | −26.8793 | + | 2.35163i | −1.28581 | + | 0.112494i | ||||
\(438\) | 5.66962 | − | 27.1461i | 0.270905 | − | 1.29709i | ||||
\(439\) | 6.19053 | − | 17.0083i | 0.295458 | − | 0.811764i | −0.699786 | − | 0.714352i | \(-0.746721\pi\) |
0.995244 | − | 0.0974116i | \(-0.0310563\pi\) | |||||||
\(440\) | −26.9196 | − | 12.7982i | −1.28334 | − | 0.610132i | ||||
\(441\) | 9.56599 | − | 2.27149i | 0.455523 | − | 0.108166i | ||||
\(442\) | 0.431084 | + | 0.863708i | 0.0205046 | + | 0.0410824i | ||||
\(443\) | 1.54020 | − | 17.6045i | 0.0731769 | − | 0.836416i | −0.867572 | − | 0.497312i | \(-0.834321\pi\) |
0.940749 | − | 0.339104i | \(-0.110124\pi\) | |||||||
\(444\) | 0.877937 | + | 0.0810235i | 0.0416650 | + | 0.00384521i | ||||
\(445\) | 57.6197 | − | 40.3457i | 2.73143 | − | 1.91257i | ||||
\(446\) | 28.4292 | − | 0.756440i | 1.34616 | − | 0.0358185i | ||||
\(447\) | −11.7278 | − | 6.32036i | −0.554707 | − | 0.298943i | ||||
\(448\) | −14.5817 | + | 5.06217i | −0.688920 | + | 0.239165i | ||||
\(449\) | 4.75838 | − | 8.24176i | 0.224562 | − | 0.388952i | −0.731626 | − | 0.681706i | \(-0.761238\pi\) |
0.956188 | + | 0.292754i | \(0.0945716\pi\) | |||||||
\(450\) | −4.52504 | + | 50.5219i | −0.213312 | + | 2.38163i | ||||
\(451\) | 4.25954 | − | 15.8968i | 0.200574 | − | 0.748552i | ||||
\(452\) | −10.5842 | + | 0.563646i | −0.497841 | + | 0.0265117i | ||||
\(453\) | 20.3441 | + | 8.77045i | 0.955849 | + | 0.412072i | ||||
\(454\) | 16.7193 | − | 4.96016i | 0.784677 | − | 0.232792i | ||||
\(455\) | −2.19503 | − | 6.03079i | −0.102905 | − | 0.282728i | ||||
\(456\) | 24.4269 | + | 5.97661i | 1.14389 | + | 0.279880i | ||||
\(457\) | 2.94521 | − | 0.519320i | 0.137771 | − | 0.0242928i | −0.104337 | − | 0.994542i | \(-0.533272\pi\) |
0.242108 | + | 0.970249i | \(0.422161\pi\) | |||||||
\(458\) | 18.8534 | + | 12.4674i | 0.880962 | + | 0.582562i | ||||
\(459\) | −3.36527 | − | 2.82013i | −0.157077 | − | 0.131632i | ||||
\(460\) | −40.1503 | − | 16.1824i | −1.87202 | − | 0.754509i | ||||
\(461\) | −5.51386 | + | 7.87461i | −0.256806 | + | 0.366757i | −0.926765 | − | 0.375641i | \(-0.877423\pi\) |
0.669959 | + | 0.742398i | \(0.266312\pi\) | |||||||
\(462\) | −11.1170 | + | 4.76545i | −0.517210 | + | 0.221709i | ||||
\(463\) | 5.32601 | − | 1.93851i | 0.247521 | − | 0.0900901i | −0.215281 | − | 0.976552i | \(-0.569067\pi\) |
0.462801 | + | 0.886462i | \(0.346844\pi\) | |||||||
\(464\) | −24.2898 | − | 19.6017i | −1.12762 | − | 0.909987i | ||||
\(465\) | −28.5575 | + | 36.1327i | −1.32432 | + | 1.67561i | ||||
\(466\) | −34.7302 | − | 5.17549i | −1.60884 | − | 0.239750i | ||||
\(467\) | −4.11632 | + | 15.3623i | −0.190480 | + | 0.710882i | 0.802910 | + | 0.596100i | \(0.203284\pi\) |
−0.993391 | + | 0.114782i | \(0.963383\pi\) | |||||||
\(468\) | 3.20562 | + | 3.63528i | 0.148180 | + | 0.168041i | ||||
\(469\) | −3.97127 | − | 14.8210i | −0.183376 | − | 0.684370i | ||||
\(470\) | 17.9578 | − | 2.05370i | 0.828331 | − | 0.0947302i | ||||
\(471\) | −8.70221 | − | 14.1017i | −0.400977 | − | 0.649772i | ||||
\(472\) | −12.7302 | + | 34.1801i | −0.585954 | + | 1.57327i | ||||
\(473\) | 25.0378 | + | 4.41483i | 1.15124 | + | 0.202994i | ||||
\(474\) | −12.8980 | − | 7.99615i | −0.592425 | − | 0.367276i | ||||
\(475\) | −5.34887 | + | 61.1379i | −0.245423 | + | 2.80520i | ||||
\(476\) | 3.23671 | + | 0.394648i | 0.148354 | + | 0.0180887i | ||||
\(477\) | 0.197303 | + | 1.34298i | 0.00903387 | + | 0.0614909i | ||||
\(478\) | 9.35675 | − | 8.28519i | 0.427968 | − | 0.378956i | ||||
\(479\) | 24.0803 | + | 8.76453i | 1.10026 | + | 0.400461i | 0.827412 | − | 0.561596i | \(-0.189812\pi\) |
0.272847 | + | 0.962057i | \(0.412035\pi\) | |||||||
\(480\) | 30.5871 | + | 26.3094i | 1.39611 | + | 1.20085i | ||||
\(481\) | 0.157496 | + | 0.132155i | 0.00718120 | + | 0.00602575i | ||||
\(482\) | −14.2634 | − | 23.2538i | −0.649681 | − | 1.05918i | ||||
\(483\) | −15.6959 | + | 7.88698i | −0.714189 | + | 0.358870i | ||||
\(484\) | 7.46036 | − | 4.85376i | 0.339107 | − | 0.220625i | ||||
\(485\) | −45.0057 | + | 45.0057i | −2.04361 | + | 2.04361i | ||||
\(486\) | −19.9667 | − | 9.34518i | −0.905706 | − | 0.423906i | ||||
\(487\) | 0.321362i | 0.0145623i | 0.999973 | + | 0.00728116i | \(0.00231769\pi\) | ||||
−0.999973 | + | 0.00728116i | \(0.997682\pi\) | |||||||
\(488\) | −5.13754 | − | 0.0383364i | −0.232565 | − | 0.00173541i | ||||
\(489\) | −25.1446 | − | 8.32606i | −1.13708 | − | 0.376517i | ||||
\(490\) | 18.5596 | + | 4.44750i | 0.838439 | + | 0.200917i | ||||
\(491\) | 2.88903 | − | 0.252758i | 0.130380 | − | 0.0114068i | −0.0217788 | − | 0.999763i | \(-0.506933\pi\) |
0.152159 | + | 0.988356i | \(0.451377\pi\) | |||||||
\(492\) | −11.2299 | + | 19.2385i | −0.506281 | + | 0.867341i | ||||
\(493\) | 2.78655 | + | 5.97578i | 0.125500 | + | 0.269136i | ||||
\(494\) | 3.88754 | + | 4.39034i | 0.174909 | + | 0.197531i | ||||
\(495\) | 25.3673 | + | 18.8685i | 1.14018 | + | 0.848074i | ||||
\(496\) | 7.16152 | + | 24.8171i | 0.321562 | + | 1.11432i | ||||
\(497\) | −0.00242718 | + | 0.00203665i | −0.000108874 | + | 9.13562e-5i | ||||
\(498\) | 4.63332 | + | 19.7496i | 0.207624 | + | 0.884999i | ||||
\(499\) | −4.28310 | + | 2.99906i | −0.191738 | + | 0.134256i | −0.665504 | − | 0.746394i | \(-0.731783\pi\) |
0.473766 | + | 0.880651i | \(0.342894\pi\) | |||||||
\(500\) | −30.3152 | + | 48.6055i | −1.35573 | + | 2.17371i | ||||
\(501\) | 7.11027 | − | 30.0291i | 0.317663 | − | 1.34160i | ||||
\(502\) | 11.4287 | − | 1.30702i | 0.510087 | − | 0.0583350i | ||||
\(503\) | 6.24408 | + | 3.60502i | 0.278410 | + | 0.160740i | 0.632703 | − | 0.774394i | \(-0.281945\pi\) |
−0.354293 | + | 0.935134i | \(0.615279\pi\) | |||||||
\(504\) | 16.2151 | − | 2.25876i | 0.722279 | − | 0.100613i | ||||
\(505\) | −51.1907 | + | 29.5550i | −2.27796 | + | 1.31518i | ||||
\(506\) | −15.2883 | + | 11.3227i | −0.679648 | + | 0.503357i | ||||
\(507\) | −2.48734 | − | 21.2413i | −0.110467 | − | 0.943359i | ||||
\(508\) | 25.9472 | + | 7.90892i | 1.15122 | + | 0.350902i | ||||
\(509\) | 30.0595 | + | 14.0170i | 1.33236 | + | 0.621291i | 0.952722 | − | 0.303843i | \(-0.0982698\pi\) |
0.379641 | + | 0.925134i | \(0.376048\pi\) | |||||||
\(510\) | −3.35793 | − | 7.83348i | −0.148692 | − | 0.346873i | ||||
\(511\) | −3.79316 | − | 21.5121i | −0.167800 | − | 0.951639i | ||||
\(512\) | 21.9820 | − | 5.36571i | 0.971477 | − | 0.237133i | ||||
\(513\) | −24.1810 | − | 11.2570i | −1.06762 | − | 0.497007i | ||||
\(514\) | 5.13034 | + | 25.1621i | 0.226289 | + | 1.10985i | ||||
\(515\) | 24.0770 | − | 34.3856i | 1.06096 | − | 1.51521i | ||||
\(516\) | −31.1190 | − | 14.6918i | −1.36994 | − | 0.646771i | ||||
\(517\) | 3.35710 | − | 7.19932i | 0.147645 | − | 0.316626i | ||||
\(518\) | 0.665793 | − | 0.197522i | 0.0292533 | − | 0.00867863i | ||||
\(519\) | −20.8514 | + | 8.28889i | −0.915276 | + | 0.363842i | ||||
\(520\) | 2.36714 | + | 9.10553i | 0.103806 | + | 0.399304i | ||||
\(521\) | 20.0787 | − | 11.5924i | 0.879663 | − | 0.507874i | 0.00911605 | − | 0.999958i | \(-0.497098\pi\) |
0.870547 | + | 0.492084i | \(0.163765\pi\) | |||||||
\(522\) | 21.2277 | + | 25.4044i | 0.929112 | + | 1.11192i | ||||
\(523\) | −5.83010 | − | 21.7582i | −0.254932 | − | 0.951420i | −0.968128 | − | 0.250455i | \(-0.919420\pi\) |
0.713196 | − | 0.700965i | \(-0.247247\pi\) | |||||||
\(524\) | 12.3073 | − | 4.01037i | 0.537648 | − | 0.175194i | ||||
\(525\) | 11.4673 | + | 38.2737i | 0.500473 | + | 1.67040i | ||||
\(526\) | −0.0966823 | − | 3.63361i | −0.00421555 | − | 0.158433i | ||||
\(527\) | 0.947505 | − | 5.37357i | 0.0412740 | − | 0.234076i | ||||
\(528\) | 16.8846 | − | 5.41310i | 0.734809 | − | 0.235575i | ||||
\(529\) | −3.54638 | + | 2.97577i | −0.154190 | + | 0.129381i | ||||
\(530\) | −0.835005 | + | 2.49907i | −0.0362703 | + | 0.108553i | ||||
\(531\) | 20.2954 | − | 32.9352i | 0.880744 | − | 1.42927i | ||||
\(532\) | 19.6131 | − | 2.77331i | 0.850335 | − | 0.120238i | ||||
\(533\) | −4.70792 | + | 2.19534i | −0.203923 | + | 0.0950906i | ||||
\(534\) | −8.55455 | + | 40.9592i | −0.370192 | + | 1.77248i | ||||
\(535\) | −10.1701 | + | 12.1203i | −0.439692 | + | 0.524005i | ||||
\(536\) | 3.74050 | + | 22.1800i | 0.161565 | + | 0.958030i | ||||
\(537\) | −11.3429 | + | 10.0987i | −0.489482 | + | 0.435789i | ||||
\(538\) | 38.3166 | + | 16.6413i | 1.65195 | + | 0.717458i | ||||
\(539\) | 5.93089 | − | 5.93089i | 0.255461 | − | 0.255461i | ||||
\(540\) | −26.3959 | − | 33.6821i | −1.13590 | − | 1.44945i | ||||
\(541\) | 30.9302 | + | 30.9302i | 1.32979 | + | 1.32979i | 0.905547 | + | 0.424246i | \(0.139461\pi\) |
0.424246 | + | 0.905547i | \(0.360539\pi\) | |||||||
\(542\) | −14.2840 | + | 5.63358i | −0.613551 | + | 0.241983i | ||||
\(543\) | −29.0472 | + | 6.00423i | −1.24654 | + | 0.257666i | ||||
\(544\) | −4.66884 | − | 1.02474i | −0.200175 | − | 0.0439352i | ||||
\(545\) | 33.1939 | + | 27.8530i | 1.42187 | + | 1.19309i | ||||
\(546\) | 3.40774 | + | 1.72115i | 0.145838 | + | 0.0736583i | ||||
\(547\) | −2.48007 | − | 5.31853i | −0.106040 | − | 0.227404i | 0.846127 | − | 0.532981i | \(-0.178928\pi\) |
−0.952167 | + | 0.305577i | \(0.901151\pi\) | |||||||
\(548\) | 2.32019 | − | 3.08440i | 0.0991134 | − | 0.131759i | ||||
\(549\) | 5.33722 | + | 1.09968i | 0.227787 | + | 0.0469330i | ||||
\(550\) | 19.3243 | + | 38.7176i | 0.823990 | + | 1.65093i | ||||
\(551\) | 25.7468 | + | 30.6838i | 1.09685 | + | 1.30718i | ||||
\(552\) | 23.9998 | − | 9.33366i | 1.02150 | − | 0.397267i | ||||
\(553\) | −11.7719 | − | 2.07571i | −0.500593 | − | 0.0882681i | ||||
\(554\) | −1.97539 | + | 2.08338i | −0.0839262 | + | 0.0885145i | ||||
\(555\) | −1.32062 | − | 1.24541i | −0.0560573 | − | 0.0528648i | ||||
\(556\) | −4.55155 | − | 13.9681i | −0.193029 | − | 0.592381i | ||||
\(557\) | −9.71109 | + | 2.60208i | −0.411472 | + | 0.110254i | −0.458616 | − | 0.888635i | \(-0.651655\pi\) |
0.0471441 | + | 0.998888i | \(0.484988\pi\) | |||||||
\(558\) | −2.33152 | − | 27.2972i | −0.0987011 | − | 1.15558i | ||||
\(559\) | −4.01237 | − | 6.94962i | −0.169705 | − | 0.293938i | ||||
\(560\) | 30.0655 | + | 10.2957i | 1.27050 | + | 0.435073i | ||||
\(561\) | −3.70621 | − | 0.542073i | −0.156476 | − | 0.0228863i | ||||
\(562\) | −18.0864 | − | 9.81023i | −0.762927 | − | 0.413819i | ||||
\(563\) | 4.24603 | + | 1.97995i | 0.178949 | + | 0.0834451i | 0.510028 | − | 0.860158i | \(-0.329635\pi\) |
−0.331079 | + | 0.943603i | \(0.607413\pi\) | |||||||
\(564\) | −6.95042 | + | 8.20354i | −0.292665 | + | 0.345431i | ||||
\(565\) | 17.8759 | + | 12.5168i | 0.752045 | + | 0.526588i | ||||
\(566\) | −23.9887 | − | 15.8632i | −1.00832 | − | 0.666782i | ||||
\(567\) | −17.3363 | − | 0.994892i | −0.728056 | − | 0.0417815i | ||||
\(568\) | 0.00382456 | − | 0.00263568i | 0.000160475 | − | 0.000110591i | ||||
\(569\) | −25.5218 | + | 4.50018i | −1.06993 | + | 0.188657i | −0.680758 | − | 0.732508i | \(-0.738349\pi\) |
−0.389171 | + | 0.921166i | \(0.627238\pi\) | |||||||
\(570\) | −32.0204 | − | 40.6862i | −1.34119 | − | 1.70416i | ||||
\(571\) | −4.30964 | + | 9.24205i | −0.180353 | + | 0.386768i | −0.975612 | − | 0.219502i | \(-0.929557\pi\) |
0.795259 | + | 0.606269i | \(0.207335\pi\) | |||||||
\(572\) | 3.95508 | + | 1.20554i | 0.165370 | + | 0.0504063i | ||||
\(573\) | −8.17481 | − | 10.9758i | −0.341508 | − | 0.458520i | ||||
\(574\) | −2.58624 | + | 17.3550i | −0.107948 | + | 0.724384i | ||||
\(575\) | 31.4221 | + | 54.4247i | 1.31039 | + | 2.26967i | ||||
\(576\) | −23.9771 | + | 1.04799i | −0.999046 | + | 0.0436663i | ||||
\(577\) | −10.5177 | + | 18.2172i | −0.437859 | + | 0.758393i | −0.997524 | − | 0.0703252i | \(-0.977596\pi\) |
0.559666 | + | 0.828719i | \(0.310930\pi\) | |||||||
\(578\) | −18.0310 | − | 14.3301i | −0.749990 | − | 0.596053i | ||||
\(579\) | 17.6979 | − | 18.7667i | 0.735500 | − | 0.779918i | ||||
\(580\) | 14.5087 | + | 62.6032i | 0.602441 | + | 2.59946i | ||||
\(581\) | 9.16505 | + | 13.0891i | 0.380230 | + | 0.543025i | ||||
\(582\) | 1.18726 | − | 37.8430i | 0.0492134 | − | 1.56864i | ||||
\(583\) | 0.744335 | + | 0.887064i | 0.0308272 | + | 0.0367384i | ||||
\(584\) | 2.55279 | + | 31.9201i | 0.105635 | + | 1.32086i | ||||
\(585\) | −0.584468 | − | 9.96176i | −0.0241648 | − | 0.411868i | ||||
\(586\) | 0.188901 | − | 3.11003i | 0.00780345 | − | 0.128474i | ||||
\(587\) | −5.92211 | + | 2.76153i | −0.244432 | + | 0.113980i | −0.540974 | − | 0.841039i | \(-0.681944\pi\) |
0.296542 | + | 0.955020i | \(0.404166\pi\) | |||||||
\(588\) | −9.85889 | + | 5.62962i | −0.406574 | + | 0.232161i | ||||
\(589\) | −2.88898 | − | 33.0212i | −0.119038 | − | 1.36061i | ||||
\(590\) | 64.0123 | − | 39.2639i | 2.63535 | − | 1.61647i | ||||
\(591\) | 24.3566 | − | 5.03464i | 1.00190 | − | 0.207098i | ||||
\(592\) | −0.999028 | + | 0.195940i | −0.0410598 | + | 0.00805310i | ||||
\(593\) | −8.27131 | −0.339662 | −0.169831 | − | 0.985473i | \(-0.554322\pi\) | ||||
−0.169831 | + | 0.985473i | \(0.554322\pi\) | |||||||
\(594\) | −18.6835 | + | 2.14880i | −0.766594 | + | 0.0881664i | ||||
\(595\) | −4.74703 | − | 4.74703i | −0.194609 | − | 0.194609i | ||||
\(596\) | 15.0500 | + | 3.18572i | 0.616472 | + | 0.130492i | ||||
\(597\) | 1.05180 | + | 0.0610354i | 0.0430473 | + | 0.00249801i | ||||
\(598\) | 5.83954 | + | 1.39935i | 0.238796 | + | 0.0572235i | ||||
\(599\) | −11.4922 | + | 13.6958i | −0.469557 | + | 0.559597i | −0.947896 | − | 0.318579i | \(-0.896795\pi\) |
0.478339 | + | 0.878175i | \(0.341239\pi\) | |||||||
\(600\) | −11.4280 | − | 57.4455i | −0.466547 | − | 2.34520i | ||||
\(601\) | −9.66476 | + | 26.5537i | −0.394234 | + | 1.08315i | 0.570815 | + | 0.821079i | \(0.306627\pi\) |
−0.965049 | + | 0.262070i | \(0.915595\pi\) | |||||||
\(602\) | −27.0565 | − | 1.64340i | −1.10274 | − | 0.0669799i | ||||
\(603\) | 0.683725 | − | 23.8478i | 0.0278434 | − | 0.971159i | ||||
\(604\) | −25.3933 | − | 3.09617i | −1.03324 | − | 0.125981i | ||||
\(605\) | −18.2549 | − | 1.59710i | −0.742167 | − | 0.0649312i | ||||
\(606\) | 10.1612 | − | 33.6621i | 0.412772 | − | 1.36743i | ||||
\(607\) | −6.35431 | + | 36.0371i | −0.257914 | + | 1.46270i | 0.530568 | + | 0.847642i | \(0.321979\pi\) |
−0.788482 | + | 0.615058i | \(0.789133\pi\) | |||||||
\(608\) | −29.0073 | + | 1.32776i | −1.17640 | + | 0.0538476i | ||||
\(609\) | 22.9556 | + | 12.3712i | 0.930208 | + | 0.501308i | ||||
\(610\) | 8.28107 | + | 6.58136i | 0.335291 | + | 0.266471i | ||||
\(611\) | −2.42184 | + | 0.648931i | −0.0979773 | + | 0.0262529i | ||||
\(612\) | 4.64611 | + | 2.02925i | 0.187808 | + | 0.0820275i | ||||
\(613\) | 7.16072 | + | 1.91871i | 0.289219 | + | 0.0774960i | 0.400512 | − | 0.916292i | \(-0.368832\pi\) |
−0.111293 | + | 0.993788i | \(0.535499\pi\) | |||||||
\(614\) | 23.1619 | − | 17.1540i | 0.934739 | − | 0.692281i | ||||
\(615\) | 42.6199 | − | 16.9423i | 1.71860 | − | 0.683181i | ||||
\(616\) | 10.7657 | − | 8.89741i | 0.433760 | − | 0.358487i | ||||
\(617\) | 8.39124 | + | 23.0547i | 0.337819 | + | 0.928149i | 0.986012 | + | 0.166673i | \(0.0533026\pi\) |
−0.648194 | + | 0.761476i | \(0.724475\pi\) | |||||||
\(618\) | 3.56283 | + | 24.7151i | 0.143318 | + | 0.994186i | ||||
\(619\) | −5.03248 | − | 3.52378i | −0.202272 | − | 0.141633i | 0.468052 | − | 0.883701i | \(-0.344956\pi\) |
−0.670324 | + | 0.742068i | \(0.733845\pi\) | |||||||
\(620\) | 19.8801 | − | 49.3246i | 0.798403 | − | 1.98092i | ||||
\(621\) | −26.8949 | + | 4.76004i | −1.07926 | + | 0.191014i | ||||
\(622\) | −46.7825 | + | 9.53854i | −1.87581 | + | 0.382461i | ||||
\(623\) | 5.72328 | + | 32.4583i | 0.229298 | + | 1.30041i | ||||
\(624\) | −4.73451 | − | 2.98431i | −0.189532 | − | 0.119468i | ||||
\(625\) | 54.6546 | − | 19.8927i | 2.18619 | − | 0.795706i | ||||
\(626\) | 27.7159 | + | 15.0334i | 1.10775 | + | 0.600855i | ||||
\(627\) | −22.5999 | + | 2.64643i | −0.902551 | + | 0.105688i | ||||
\(628\) | 14.2302 | + | 12.7912i | 0.567848 | + | 0.510426i | ||||
\(629\) | 0.207734 | + | 0.0556623i | 0.00828291 | + | 0.00221940i | ||||
\(630\) | −29.1565 | − | 16.9137i | −1.16162 | − | 0.673859i | ||||
\(631\) | 19.7030 | + | 11.3755i | 0.784363 | + | 0.452852i | 0.837974 | − | 0.545710i | \(-0.183740\pi\) |
−0.0536113 | + | 0.998562i | \(0.517073\pi\) | |||||||
\(632\) | 16.8918 | + | 4.66151i | 0.671920 | + | 0.185425i | ||||
\(633\) | −17.4374 | − | 28.2568i | −0.693073 | − | 1.12311i | ||||
\(634\) | −20.8054 | − | 19.7269i | −0.826289 | − | 0.783457i | ||||
\(635\) | −32.0333 | − | 45.7483i | −1.27120 | − | 1.81547i | ||||
\(636\) | −0.655635 | − | 1.42367i | −0.0259976 | − | 0.0564523i | ||||
\(637\) | −2.63734 | − | 0.230737i | −0.104495 | − | 0.00914214i | ||||
\(638\) | 26.7865 | + | 8.95009i | 1.06049 | + | 0.354337i | ||||
\(639\) | −0.00452280 | + | 0.00195323i | −0.000178919 | + | 7.72687e-5i | ||||
\(640\) | −42.4491 | − | 19.1941i | −1.67795 | − | 0.758713i | ||||
\(641\) | 6.15443 | + | 2.24003i | 0.243085 | + | 0.0884758i | 0.460690 | − | 0.887561i | \(-0.347602\pi\) |
−0.217605 | + | 0.976037i | \(0.569824\pi\) | |||||||
\(642\) | −0.525881 | − | 9.39714i | −0.0207549 | − | 0.370875i | ||||
\(643\) | −0.907362 | − | 10.3712i | −0.0357829 | − | 0.409000i | −0.992870 | − | 0.119200i | \(-0.961967\pi\) |
0.957087 | − | 0.289800i | \(-0.0935886\pi\) | |||||||
\(644\) | 14.8228 | − | 13.8458i | 0.584099 | − | 0.545603i | ||||
\(645\) | 31.8116 | + | 63.3084i | 1.25258 | + | 2.49277i | ||||
\(646\) | 5.62639 | + | 2.44361i | 0.221368 | + | 0.0961424i | ||||
\(647\) | 32.7166i | 1.28622i | 0.765773 | + | 0.643112i | \(0.222357\pi\) | ||||
−0.765773 | + | 0.643112i | \(0.777643\pi\) | |||||||
\(648\) | 25.1621 | + | 3.85575i | 0.988462 | + | 0.151468i | ||||
\(649\) | − | 33.0028i | − | 1.29547i | ||||||
\(650\) | 5.44094 | − | 12.5277i | 0.213411 | − | 0.491379i | ||||
\(651\) | −9.68914 | − | 19.2824i | −0.379747 | − | 0.755738i | ||||
\(652\) | 30.5671 | + | 1.04162i | 1.19710 | + | 0.0407931i | ||||
\(653\) | −0.451383 | − | 5.15933i | −0.0176640 | − | 0.201900i | −0.999899 | − | 0.0142431i | \(-0.995466\pi\) |
0.982235 | − | 0.187657i | \(-0.0600894\pi\) | |||||||
\(654\) | −25.7361 | + | 1.44024i | −1.00636 | + | 0.0563177i | ||||
\(655\) | −25.0433 | − | 9.11502i | −0.978523 | − | 0.356153i | ||||
\(656\) | 6.18071 | − | 24.9688i | 0.241316 | − | 0.974867i | ||||
\(657\) | 3.92865 | − | 33.7365i | 0.153271 | − | 1.31619i | ||||
\(658\) | −2.68393 | + | 8.03268i | −0.104631 | + | 0.313147i | ||||
\(659\) | −7.80472 | − | 0.682824i | −0.304029 | − | 0.0265991i | −0.0658792 | − | 0.997828i | \(-0.520985\pi\) |
−0.238149 | + | 0.971229i | \(0.576541\pi\) | |||||||
\(660\) | −34.2446 | − | 12.6490i | −1.33297 | − | 0.492362i | ||||
\(661\) | −2.33064 | − | 3.32849i | −0.0906512 | − | 0.129463i | 0.771265 | − | 0.636514i | \(-0.219624\pi\) |
−0.861916 | + | 0.507051i | \(0.830736\pi\) | |||||||
\(662\) | −7.47626 | + | 7.88499i | −0.290573 | + | 0.306459i | ||||
\(663\) | 0.620873 | + | 1.00611i | 0.0241127 | + | 0.0390740i | ||||
\(664\) | −11.5603 | − | 20.3726i | −0.448627 | − | 0.790611i | ||||
\(665\) | −35.3187 | − | 20.3913i | −1.36960 | − | 0.790739i | ||||
\(666\) | 1.07982 | + | 0.00222546i | 0.0418420 | + | 8.62347e-5i | ||||
\(667\) | 39.6185 | + | 10.6158i | 1.53404 | + | 0.411044i | ||||
\(668\) | 1.89491 | + | 35.5830i | 0.0733163 | + | 1.37675i | ||||
\(669\) | 34.5945 | − | 4.05099i | 1.33750 | − | 0.156620i | ||||
\(670\) | 22.0803 | − | 40.7078i | 0.853038 | − | 1.57268i | ||||
\(671\) | 4.36841 | − | 1.58997i | 0.168640 | − | 0.0613801i | ||||
\(672\) | −17.2296 | + | 7.77933i | −0.664646 | + | 0.300094i | ||||
\(673\) | −4.27667 | − | 24.2542i | −0.164853 | − | 0.934930i | −0.949216 | − | 0.314627i | \(-0.898121\pi\) |
0.784362 | − | 0.620303i | \(-0.212990\pi\) | |||||||
\(674\) | 2.96336 | + | 14.5340i | 0.114145 | + | 0.559830i | ||||
\(675\) | 0.0397285 | + | 62.1242i | 0.00152915 | + | 2.39116i | ||||
\(676\) | 9.66824 | + | 22.7237i | 0.371855 | + | 0.873987i | ||||
\(677\) | 18.5865 | + | 13.0144i | 0.714336 | + | 0.500183i | 0.873350 | − | 0.487093i | \(-0.161943\pi\) |
−0.159014 | + | 0.987276i | \(0.550832\pi\) | |||||||
\(678\) | −12.8485 | + | 1.85220i | −0.493445 | + | 0.0711332i | ||||
\(679\) | −10.2001 | − | 28.0244i | −0.391443 | − | 1.07548i | ||||
\(680\) | 6.26947 | + | 7.58591i | 0.240423 | + | 0.290906i | ||||
\(681\) | 19.8483 | − | 7.89013i | 0.760589 | − | 0.302350i | ||||
\(682\) | −13.9100 | − | 18.7817i | −0.532640 | − | 0.719187i | ||||
\(683\) | −21.4027 | − | 5.73484i | −0.818952 | − | 0.219438i | −0.175064 | − | 0.984557i | \(-0.556013\pi\) |
−0.643888 | + | 0.765120i | \(0.722680\pi\) | |||||||
\(684\) | 30.4533 | + | 4.60233i | 1.16441 | + | 0.175975i | ||||
\(685\) | −7.67572 | + | 2.05670i | −0.293274 | + | 0.0785826i | ||||
\(686\) | −17.4478 | + | 21.9539i | −0.666162 | + | 0.838206i | ||||
\(687\) | 24.3691 | + | 13.1330i | 0.929740 | + | 0.501055i | ||||
\(688\) | 39.2577 | + | 6.14996i | 1.49668 | + | 0.234465i | ||||
\(689\) | 0.0634684 | − | 0.359947i | 0.00241795 | − | 0.0137129i | ||||
\(690\) | −50.7557 | − | 15.3211i | −1.93224 | − | 0.583265i | ||||
\(691\) | 28.3534 | + | 2.48060i | 1.07861 | + | 0.0943665i | 0.612586 | − | 0.790404i | \(-0.290129\pi\) |
0.466028 | + | 0.884770i | \(0.345685\pi\) | |||||||
\(692\) | 20.4037 | − | 15.9689i | 0.775634 | − | 0.607045i | ||||
\(693\) | −13.0361 | + | 7.03615i | −0.495199 | + | 0.267281i | ||||
\(694\) | −1.40935 | + | 23.2032i | −0.0534981 | + | 0.880781i | ||||
\(695\) | −10.3450 | + | 28.4228i | −0.392410 | + | 1.07814i | ||||
\(696\) | −31.7854 | − | 21.2372i | −1.20482 | − | 0.804995i | ||||
\(697\) | −3.49277 | + | 4.16252i | −0.132298 | + | 0.157667i | ||||
\(698\) | −2.08371 | + | 8.69544i | −0.0788697 | + | 0.329127i | ||||
\(699\) | −42.9331 | − | 2.49138i | −1.62388 | − | 0.0942327i | ||||
\(700\) | −25.1599 | − | 38.6714i | −0.950954 | − | 1.46164i | ||||
\(701\) | −6.10882 | − | 6.10882i | −0.230727 | − | 0.230727i | 0.582269 | − | 0.812996i | \(-0.302165\pi\) |
−0.812996 | + | 0.582269i | \(0.802165\pi\) | |||||||
\(702\) | 4.31020 | + | 4.08155i | 0.162678 | + | 0.154048i | ||||
\(703\) | 1.30648 | 0.0492747 | ||||||||
\(704\) | −16.9448 | + | 11.4919i | −0.638631 | + | 0.433116i | ||||
\(705\) | 21.6788 | − | 4.48113i | 0.816470 | − | 0.168769i | ||||
\(706\) | 11.9855 | + | 19.5401i | 0.451081 | + | 0.735402i | ||||
\(707\) | −2.41393 | − | 27.5913i | −0.0907852 | − | 1.03768i | ||||
\(708\) | −11.7670 | + | 43.0934i | −0.442233 | + | 1.61955i | ||||
\(709\) | 19.3329 | − | 9.01509i | 0.726063 | − | 0.338569i | −0.0242011 | − | 0.999707i | \(-0.507704\pi\) |
0.750264 | + | 0.661138i | \(0.229926\pi\) | |||||||
\(710\) | −0.00954544 | 0.000579785i | −0.000358234 | 2.17589e-5i | ||||||
\(711\) | −16.6128 | − | 8.33437i | −0.623027 | − | 0.312563i | ||||
\(712\) | −3.85176 | − | 48.1623i | −0.144351 | − | 1.80496i | ||||
\(713\) | −21.8180 | − | 26.0017i | −0.817090 | − | 0.973770i | ||||
\(714\) | 3.99154 | + | 0.125227i | 0.149379 | + | 0.00468652i | ||||
\(715\) | −4.88278 | − | 6.97334i | −0.182606 | − | 0.260788i | ||||
\(716\) | 9.28034 | − | 14.8796i | 0.346823 | − | 0.556075i | ||||
\(717\) | 10.5016 | − | 11.1358i | 0.392189 | − | 0.415874i | ||||
\(718\) | −2.72099 | + | 3.42372i | −0.101547 | + | 0.127772i | ||||
\(719\) | −13.8110 | + | 23.9214i | −0.515065 | + | 0.892118i | 0.484783 | + | 0.874635i | \(0.338899\pi\) |
−0.999847 | + | 0.0174833i | \(0.994435\pi\) | |||||||
\(720\) | 40.2050 | + | 28.7262i | 1.49835 | + | 1.07056i | ||||
\(721\) | 9.83444 | + | 17.0338i | 0.366254 | + | 0.634370i | ||||
\(722\) | 10.2804 | + | 1.53199i | 0.382598 | + | 0.0570148i | ||||
\(723\) | −19.9572 | − | 26.7952i | −0.742216 | − | 0.996526i | ||||
\(724\) | 30.2273 | − | 16.1049i | 1.12339 | − | 0.598532i | ||||
\(725\) | 39.4272 | − | 84.5518i | 1.46429 | − | 3.14018i | ||||
\(726\) | 8.56598 | − | 6.74150i | 0.317913 | − | 0.250200i | ||||
\(727\) | −17.4714 | + | 3.08068i | −0.647978 | + | 0.114256i | −0.487971 | − | 0.872860i | \(-0.662263\pi\) |
−0.160007 | + | 0.987116i | \(0.551152\pi\) | |||||||
\(728\) | −4.33553 | − | 0.797872i | −0.160685 | − | 0.0295711i | ||||
\(729\) | −25.3835 | − | 9.20209i | −0.940129 | − | 0.340818i | ||||
\(730\) | 36.3656 | − | 54.9928i | 1.34595 | − | 2.03537i | ||||
\(731\) | −6.87613 | − | 4.81472i | −0.254323 | − | 0.178079i | ||||
\(732\) | −6.27094 | + | 0.518562i | −0.231781 | + | 0.0191666i | ||||
\(733\) | −23.5433 | − | 10.9784i | −0.869592 | − | 0.405497i | −0.0639869 | − | 0.997951i | \(-0.520382\pi\) |
−0.805605 | + | 0.592454i | \(0.798159\pi\) | |||||||
\(734\) | −8.35744 | + | 15.4080i | −0.308479 | + | 0.568719i | ||||
\(735\) | 23.1283 | + | 3.38276i | 0.853099 | + | 0.124775i | ||||
\(736\) | −23.5518 | + | 18.1509i | −0.868130 | + | 0.669052i | ||||
\(737\) | −10.1763 | − | 17.6259i | −0.374850 | − | 0.649259i | ||||
\(738\) | −11.5811 | + | 24.7027i | −0.426307 | + | 0.909320i | ||||
\(739\) | −5.86528 | + | 1.57160i | −0.215758 | + | 0.0578121i | −0.365079 | − | 0.930977i | \(-0.618958\pi\) |
0.149321 | + | 0.988789i | \(0.452291\pi\) | |||||||
\(740\) | 1.86840 | + | 0.950016i | 0.0686839 | + | 0.0349233i | ||||
\(741\) | 5.22510 | + | 4.92752i | 0.191949 | + | 0.181017i | ||||
\(742\) | −0.895910 | − | 0.849469i | −0.0328899 | − | 0.0311850i | ||||
\(743\) | 35.6202 | + | 6.28080i | 1.30678 | + | 0.230420i | 0.783313 | − | 0.621628i | \(-0.213528\pi\) |
0.523464 | + | 0.852048i | \(0.324639\pi\) | |||||||
\(744\) | 11.4664 | + | 29.4837i | 0.420378 | + | 1.08093i | ||||
\(745\) | −20.3588 | − | 24.2626i | −0.745887 | − | 0.888914i | ||||
\(746\) | 18.6307 | − | 9.29874i | 0.682119 | − | 0.340451i | ||||
\(747\) | 7.82489 | + | 23.5805i | 0.286298 | + | 0.862766i | ||||
\(748\) | 4.28250 | − | 0.605548i | 0.156584 | − | 0.0221410i | ||||
\(749\) | −3.13310 | − | 6.71896i | −0.114481 | − | 0.245506i | ||||
\(750\) | −31.6297 | + | 62.6244i | −1.15495 | + | 2.28672i | ||||
\(751\) | 40.8184 | + | 34.2507i | 1.48948 | + | 1.24983i | 0.895275 | + | 0.445515i | \(0.146979\pi\) |
0.594209 | + | 0.804311i | \(0.297465\pi\) | |||||||
\(752\) | 5.03066 | − | 11.3505i | 0.183449 | − | 0.413911i | ||||
\(753\) | 13.7968 | − | 2.85188i | 0.502783 | − | 0.103928i | ||||
\(754\) | −3.27058 | − | 8.29260i | −0.119108 | − | 0.301999i | ||||
\(755\) | 37.2424 | + | 37.2424i | 1.35539 | + | 1.35539i | ||||
\(756\) | 19.5305 | − | 4.53949i | 0.710319 | − | 0.165100i | ||||
\(757\) | −1.36227 | + | 1.36227i | −0.0495124 | + | 0.0495124i | −0.731429 | − | 0.681917i | \(-0.761146\pi\) |
0.681917 | + | 0.731429i | \(0.261146\pi\) | |||||||
\(758\) | −10.3970 | + | 23.9391i | −0.377637 | + | 0.869508i | ||||
\(759\) | −17.4026 | + | 15.4937i | −0.631675 | + | 0.562385i | ||||
\(760\) | 48.7157 | + | 34.6557i | 1.76710 | + | 1.25709i | ||||
\(761\) | −2.48671 | + | 2.96354i | −0.0901431 | + | 0.107428i | −0.809230 | − | 0.587491i | \(-0.800116\pi\) |
0.719087 | + | 0.694920i | \(0.244560\pi\) | |||||||
\(762\) | 32.5204 | + | 6.79207i | 1.17809 | + | 0.246051i | ||||
\(763\) | −18.4013 | + | 8.58067i | −0.666172 | + | 0.310641i | ||||
\(764\) | 12.6287 | + | 9.49970i | 0.456889 | + | 0.343687i | ||||
\(765\) | −4.95795 | − | 9.18572i | −0.179255 | − | 0.332110i | ||||
\(766\) | 13.5780 | + | 4.53676i | 0.490592 | + | 0.163920i | ||||
\(767\) | −7.97979 | + | 6.69584i | −0.288134 | + | 0.241773i | ||||
\(768\) | 26.2231 | − | 8.96391i | 0.946243 | − | 0.323457i | ||||
\(769\) | 0.773602 | − | 4.38732i | 0.0278968 | − | 0.158211i | −0.967677 | − | 0.252192i | \(-0.918848\pi\) |
0.995574 | + | 0.0939818i | \(0.0299595\pi\) | |||||||
\(770\) | −28.7451 | + | 0.764843i | −1.03590 | + | 0.0275630i | ||||
\(771\) | 9.02673 | + | 30.1280i | 0.325090 | + | 1.08503i | ||||
\(772\) | −13.5002 | + | 26.5509i | −0.485882 | + | 0.955589i | ||||
\(773\) | 9.57568 | + | 35.7369i | 0.344413 | + | 1.28537i | 0.893296 | + | 0.449469i | \(0.148387\pi\) |
−0.548883 | + | 0.835899i | \(0.684947\pi\) | |||||||
\(774\) | −39.5753 | − | 14.4967i | −1.42251 | − | 0.521072i | ||||
\(775\) | −66.8606 | + | 38.6020i | −2.40170 | + | 1.38662i | ||||
\(776\) | 10.9998 | + | 42.3124i | 0.394872 | + | 1.51893i | ||||
\(777\) | 0.790394 | − | 0.314199i | 0.0283552 | − | 0.0112718i | ||||
\(778\) | −0.489766 | − | 1.65087i | −0.0175590 | − | 0.0591864i | ||||
\(779\) | −13.9504 | + | 29.9168i | −0.499825 | + | 1.07188i | ||||
\(780\) | 3.88937 | + | 10.8464i | 0.139262 | + | 0.388362i | ||||
\(781\) | −0.00241061 | + | 0.00344271i | −8.62586e−5 | + | 0.000123190i | ||||
\(782\) | 6.15471 | − | 1.25489i | 0.220092 | − | 0.0448748i | ||||
\(783\) | 28.6888 | + | 28.6522i | 1.02526 | + | 1.02394i | ||||
\(784\) | 9.09057 | − | 9.44539i | 0.324663 | − | 0.337335i | ||||
\(785\) | −6.84082 | − | 38.7962i | −0.244159 | − | 1.38470i | ||||
\(786\) | 14.5711 | − | 6.24609i | 0.519733 | − | 0.222791i | ||||
\(787\) | −19.1320 | − | 8.92142i | −0.681984 | − | 0.318014i | 0.0505729 | − | 0.998720i | \(-0.483895\pi\) |
−0.732557 | + | 0.680706i | \(0.761673\pi\) | |||||||
\(788\) | −25.3461 | + | 13.5042i | −0.902918 | + | 0.481067i | ||||
\(789\) | −0.517767 | − | 4.42160i | −0.0184330 | − | 0.157413i | ||||
\(790\) | −21.4723 | − | 28.9925i | −0.763948 | − | 1.03151i | ||||
\(791\) | −8.85529 | + | 5.11260i | −0.314858 | + | 0.181783i | ||||
\(792\) | 20.0001 | − | 8.46080i | 0.710672 | − | 0.300641i | ||||
\(793\) | −1.27073 | − | 0.733658i | −0.0451251 | − | 0.0260530i | ||||
\(794\) | 4.77895 | + | 41.7877i | 0.169599 | + | 1.48299i | ||||
\(795\) | −0.743539 | + | 3.14022i | −0.0263706 | + | 0.111372i | ||||
\(796\) | −1.18515 | + | 0.274665i | −0.0420064 | + | 0.00973525i | ||||
\(797\) | 35.2020 | − | 24.6487i | 1.24692 | − | 0.873103i | 0.251421 | − | 0.967878i | \(-0.419102\pi\) |
0.995499 | + | 0.0947751i | \(0.0302132\pi\) | |||||||
\(798\) | 23.6187 | − | 5.54104i | 0.836093 | − | 0.196151i | ||||
\(799\) | −2.00912 | + | 1.68585i | −0.0710774 | + | 0.0596410i | ||||
\(800\) | 31.3555 | + | 59.9246i | 1.10858 | + | 2.11865i | ||||
\(801\) | −5.92771 | + | 50.9030i | −0.209445 | + | 1.79857i | ||||
\(802\) | 36.3644 | − | 32.1998i | 1.28407 | − | 1.13702i | ||||
\(803\) | −12.2452 | − | 26.2600i | −0.432125 | − | 0.926695i | ||||
\(804\) | 7.00327 | + | 26.6434i | 0.246986 | + | 0.939639i | ||||
\(805\) | −41.6023 | + | 3.63973i | −1.46629 | + | 0.128284i | ||||
\(806\) | −1.71909 | + | 7.17386i | −0.0605525 | + | 0.252688i | ||||
\(807\) | 48.5694 | + | 16.0827i | 1.70973 | + | 0.566137i | ||||
\(808\) | −0.302963 | + | 40.6008i | −0.0106582 | + | 1.42833i | ||||
\(809\) | 14.9627i | 0.526059i | 0.964788 | + | 0.263030i | \(0.0847217\pi\) | ||||
−0.964788 | + | 0.263030i | \(0.915278\pi\) | |||||||
\(810\) | −35.9038 | − | 38.1806i | −1.26153 | − | 1.34153i | ||||
\(811\) | 12.8612 | − | 12.8612i | 0.451618 | − | 0.451618i | −0.444274 | − | 0.895891i | \(-0.646538\pi\) |
0.895891 | + | 0.444274i | \(0.146538\pi\) | |||||||
\(812\) | −29.4583 | − | 6.23560i | −1.03378 | − | 0.218827i | ||||
\(813\) | −16.8036 | + | 8.44358i | −0.589329 | + | 0.296129i | ||||
\(814\) | 0.785232 | − | 0.481646i | 0.0275224 | − | 0.0168817i | ||||
\(815\) | −48.2380 | − | 40.4765i | −1.68970 | − | 1.41783i | ||||
\(816\) | −5.80777 | − | 0.736215i | −0.203313 | − | 0.0257727i | ||||
\(817\) | −47.9184 | − | 17.4409i | −1.67645 | − | 0.610179i | ||||
\(818\) | 15.4349 | + | 17.4312i | 0.539669 | + | 0.609467i | ||||
\(819\) | 4.34612 | + | 1.72446i | 0.151866 | + | 0.0602575i | ||||
\(820\) | −41.7048 | + | 32.6401i | −1.45640 | + | 1.13984i | ||||
\(821\) | −0.121665 | + | 1.39064i | −0.00424614 | + | 0.0485336i | −0.998022 | − | 0.0628631i | \(-0.979977\pi\) |
0.993776 | + | 0.111397i | \(0.0355324\pi\) | |||||||
\(822\) | 2.49074 | − | 4.01763i | 0.0868746 | − | 0.140131i | ||||
\(823\) | 35.3400 | + | 6.23140i | 1.23188 | + | 0.217213i | 0.751431 | − | 0.659812i | \(-0.229364\pi\) |
0.480445 | + | 0.877025i | \(0.340475\pi\) | |||||||
\(824\) | −11.9902 | − | 26.2222i | −0.417700 | − | 0.913494i | ||||
\(825\) | 27.8320 | + | 45.1010i | 0.968986 | + | 1.57022i | ||||
\(826\) | 3.99798 | + | 34.9588i | 0.139108 | + | 1.21637i | ||||
\(827\) | −12.4254 | − | 46.3721i | −0.432072 | − | 1.61252i | −0.747977 | − | 0.663725i | \(-0.768975\pi\) |
0.315904 | − | 0.948791i | \(-0.397692\pi\) | |||||||
\(828\) | 28.2477 | − | 14.0260i | 0.981675 | − | 0.487437i | ||||
\(829\) | −4.11538 | + | 15.3588i | −0.142933 | + | 0.533434i | 0.856906 | + | 0.515473i | \(0.172384\pi\) |
−0.999839 | + | 0.0179604i | \(0.994283\pi\) | |||||||
\(830\) | −7.10830 | + | 47.7003i | −0.246733 | + | 1.65570i | ||||
\(831\) | −2.18031 | + | 2.75866i | −0.0756342 | + | 0.0956969i | ||||
\(832\) | 6.21651 | + | 1.76555i | 0.215519 | + | 0.0612095i | ||||
\(833\) | −2.60229 | + | 0.947157i | −0.0901641 | + | 0.0328170i | ||||
\(834\) | −7.08896 | − | 16.5374i | −0.245471 | − | 0.572642i | ||||
\(835\) | 42.0802 | − | 60.0967i | 1.45624 | − | 2.07973i | ||||
\(836\) | 24.1770 | − | 10.2866i | 0.836180 | − | 0.355770i | ||||
\(837\) | −5.84770 | − | 33.0404i | −0.202126 | − | 1.14204i | ||||
\(838\) | 20.9086 | − | 31.6184i | 0.722276 | − | 1.09224i | ||||
\(839\) | −31.3495 | + | 5.52776i | −1.08230 | + | 0.190840i | −0.686234 | − | 0.727381i | \(-0.740738\pi\) |
−0.396071 | + | 0.918220i | \(0.629626\pi\) | |||||||
\(840\) | 37.8065 | + | 9.25026i | 1.30445 | + | 0.319164i | ||||
\(841\) | −10.9066 | − | 29.9656i | −0.376089 | − | 1.03330i | ||||
\(842\) | −8.12108 | − | 27.3739i | −0.279871 | − | 0.943367i | ||||
\(843\) | −23.1411 | − | 9.97624i | −0.797022 | − | 0.343600i | ||||
\(844\) | 28.5143 | + | 25.6309i | 0.981504 | + | 0.882253i | ||||
\(845\) | 13.1593 | − | 49.1112i | 0.452694 | − | 1.68948i | ||||
\(846\) | −7.57536 | + | 10.7714i | −0.260446 | + | 0.370329i | ||||
\(847\) | 4.29313 | − | 7.43591i | 0.147514 | − | 0.255501i | ||||
\(848\) | 1.18968 | + | 1.36392i | 0.0408537 | + | 0.0468371i | ||||
\(849\) | −31.0068 | − | 16.7102i | −1.06415 | − | 0.573492i | ||||
\(850\) | −0.380014 | − | 14.2821i | −0.0130344 | − | 0.489870i | ||||
\(851\) | 1.09588 | − | 0.767347i | 0.0375665 | − | 0.0263043i | ||||
\(852\) | 0.00437515 | − | 0.00363583i | 0.000149890 | − | 0.000124561i | ||||
\(853\) | 1.74164 | − | 19.9071i | 0.0596328 | − | 0.681606i | −0.906270 | − | 0.422700i | \(-0.861082\pi\) |
0.965903 | − | 0.258906i | \(-0.0833620\pi\) | |||||||
\(854\) | −4.43470 | + | 2.21340i | −0.151752 | + | 0.0757408i | ||||
\(855\) | −43.5352 | − | 46.1053i | −1.48887 | − | 1.57677i | ||||
\(856\) | 3.64072 | + | 10.2399i | 0.124437 | + | 0.349993i | ||||
\(857\) | −0.394161 | + | 1.08295i | −0.0134643 | + | 0.0369928i | −0.946243 | − | 0.323457i | \(-0.895155\pi\) |
0.932778 | + | 0.360450i | \(0.117377\pi\) | |||||||
\(858\) | 4.95703 | + | 1.03530i | 0.169230 | + | 0.0353446i | ||||
\(859\) | 21.0814 | − | 1.84439i | 0.719289 | − | 0.0629296i | 0.278367 | − | 0.960475i | \(-0.410207\pi\) |
0.440922 | + | 0.897545i | \(0.354651\pi\) | |||||||
\(860\) | −55.8462 | − | 59.7866i | −1.90434 | − | 2.03871i | ||||
\(861\) | −1.24497 | + | 21.4541i | −0.0424284 | + | 0.731153i | ||||
\(862\) | −8.39837 | + | 3.31230i | −0.286050 | + | 0.112817i | ||||
\(863\) | −53.3148 | −1.81486 | −0.907428 | − | 0.420208i | \(-0.861957\pi\) | ||||
−0.907428 | + | 0.420208i | \(0.861957\pi\) | |||||||
\(864\) | −29.1318 | + | 3.91672i | −0.991083 | + | 0.133250i | ||||
\(865\) | −53.3449 | −1.81378 | ||||||||
\(866\) | 5.23925 | − | 2.06635i | 0.178037 | − | 0.0702173i | ||||
\(867\) | −23.5709 | − | 15.4956i | −0.800509 | − | 0.526259i | ||||
\(868\) | 17.0096 | + | 18.2098i | 0.577343 | + | 0.618079i | ||||
\(869\) | −15.7953 | + | 1.38191i | −0.535819 | + | 0.0468781i | ||||
\(870\) | 24.5863 | + | 74.7664i | 0.833555 | + | 2.53482i | ||||
\(871\) | −2.19715 | + | 6.03661i | −0.0744475 | + | 0.204543i | ||||
\(872\) | 28.0441 | − | 9.97089i | 0.949694 | − | 0.337657i | ||||
\(873\) | −2.71596 | − | 46.2912i | −0.0919213 | − | 1.56672i | ||||
\(874\) | 34.1420 | − | 17.0405i | 1.15487 | − | 0.576404i | ||||
\(875\) | −4.81648 | + | 55.0527i | −0.162827 | + | 1.86112i | ||||
\(876\) | 6.62629 | + | 38.6550i | 0.223882 | + | 1.30603i | ||||
\(877\) | 17.8659 | − | 12.5099i | 0.603289 | − | 0.422428i | −0.231627 | − | 0.972805i | \(-0.574405\pi\) |
0.834916 | + | 0.550377i | \(0.185516\pi\) | |||||||
\(878\) | 0.680842 | + | 25.5881i | 0.0229773 | + | 0.863555i | ||||
\(879\) | −0.111801 | − | 3.81437i | −0.00377094 | − | 0.128656i | ||||
\(880\) | 42.0558 | + | 2.86957i | 1.41770 | + | 0.0967331i | ||||
\(881\) | −5.35638 | + | 9.27752i | −0.180461 | + | 0.312568i | −0.942038 | − | 0.335507i | \(-0.891092\pi\) |
0.761577 | + | 0.648075i | \(0.224426\pi\) | |||||||
\(882\) | −11.4063 | + | 7.95181i | −0.384071 | + | 0.267751i | ||||
\(883\) | 3.08521 | − | 11.5142i | 0.103826 | − | 0.387483i | −0.894384 | − | 0.447301i | \(-0.852385\pi\) |
0.998209 | + | 0.0598179i | \(0.0190520\pi\) | |||||||
\(884\) | −1.01528 | − | 0.912612i | −0.0341475 | − | 0.0306945i | ||||
\(885\) | 73.7612 | − | 54.9376i | 2.47945 | − | 1.84671i | ||||
\(886\) | 7.10811 | + | 23.9595i | 0.238802 | + | 0.804935i | ||||
\(887\) | −7.47420 | − | 20.5352i | −0.250959 | − | 0.689505i | −0.999647 | − | 0.0265815i | \(-0.991538\pi\) |
0.748688 | − | 0.662923i | \(-0.230684\pi\) | |||||||
\(888\) | −1.19705 | + | 0.348937i | −0.0401702 | + | 0.0117096i | ||||
\(889\) | 25.7710 | − | 4.54412i | 0.864330 | − | 0.152405i | ||||
\(890\) | −54.8699 | + | 82.9753i | −1.83924 | + | 2.78134i | ||||
\(891\) | −22.5535 | + | 4.67699i | −0.755572 | + | 0.156685i | ||||
\(892\) | −37.0087 | + | 15.7461i | −1.23914 | + | 0.527219i | ||||
\(893\) | −9.13859 | + | 13.0513i | −0.305811 | + | 0.436744i | ||||
\(894\) | 18.7084 | + | 2.22984i | 0.625703 | + | 0.0745770i | ||||
\(895\) | −33.9278 | + | 12.3487i | −1.13408 | + | 0.412772i | ||||
\(896\) | 16.5569 | − | 14.2257i | 0.553129 | − | 0.475247i | ||||
\(897\) | 7.27700 | + | 1.06434i | 0.242972 | + | 0.0355372i | ||||
\(898\) | −1.98372 | + | 13.3117i | −0.0661974 | + | 0.444218i | ||||
\(899\) | −13.0414 | + | 48.6713i | −0.434956 | + | 1.62328i | ||||
\(900\) | −20.2610 | − | 68.8141i | −0.675367 | − | 2.29380i | ||||
\(901\) | −0.0989538 | − | 0.369301i | −0.00329663 | − | 0.0123032i | ||||
\(902\) | 2.64450 | + | 23.1238i | 0.0880524 | + | 0.769940i | ||||
\(903\) | −33.1842 | + | 0.972640i | −1.10430 | + | 0.0323674i | ||||
\(904\) | 13.6321 | − | 6.23332i | 0.453396 | − | 0.207317i | ||||
\(905\) | −69.4449 | − | 12.2450i | −2.30843 | − | 0.407038i | ||||
\(906\) | −31.3152 | − | 0.982459i | −1.04038 | − | 0.0326400i | ||||
\(907\) | 3.38685 | − | 38.7119i | 0.112459 | − | 1.28541i | −0.704912 | − | 0.709295i | \(-0.749014\pi\) |
0.817371 | − | 0.576112i | \(-0.195431\pi\) | |||||||
\(908\) | −19.4221 | + | 15.2006i | −0.644547 | + | 0.504451i | ||||
\(909\) | 8.69048 | − | 42.1788i | 0.288245 | − | 1.39898i | ||||
\(910\) | 6.01693 | + | 6.79513i | 0.199459 | + | 0.225256i | ||||
\(911\) | −39.1871 | − | 14.2629i | −1.29833 | − | 0.472552i | −0.401875 | − | 0.915694i | \(-0.631641\pi\) |
−0.896451 | + | 0.443142i | \(0.853864\pi\) | |||||||
\(912\) | −35.2368 | + | 4.81149i | −1.16681 | + | 0.159324i | ||||
\(913\) | 16.2362 | + | 13.6238i | 0.537341 | + | 0.450883i | ||||
\(914\) | −3.60524 | + | 2.21138i | −0.119251 | + | 0.0731460i | ||||
\(915\) | 10.8254 | + | 7.11666i | 0.357876 | + | 0.235269i | ||||
\(916\) | −31.2723 | − | 6.61957i | −1.03326 | − | 0.218717i | ||||
\(917\) | 8.82997 | − | 8.82997i | 0.291591 | − | 0.291591i | ||||
\(918\) | 5.89058 | + | 1.96401i | 0.194418 | + | 0.0648221i | ||||
\(919\) | − | 10.6068i | − | 0.349887i | −0.984579 | − | 0.174943i | \(-0.944026\pi\) | ||
0.984579 | − | 0.174943i | \(-0.0559742\pi\) | |||||||
\(920\) | 61.2179 | + | 0.456809i | 2.01829 | + | 0.0150605i | ||||
\(921\) | 26.3651 | − | 23.4730i | 0.868760 | − | 0.773463i | ||||
\(922\) | 3.16812 | − | 13.2207i | 0.104336 | − | 0.435401i | ||||
\(923\) | 0.00132150 | 0.000115616i | 4.34977e−5 | 3.80556e-6i | ||||||
\(924\) | 12.1528 | − | 12.0376i | 0.399798 | − | 0.396009i | ||||
\(925\) | −1.28600 | − | 2.75784i | −0.0422834 | − | 0.0906771i | ||||
\(926\) | −6.00102 | + | 5.31377i | −0.197206 | + | 0.174621i | ||||
\(927\) | 7.06551 | + | 29.7552i | 0.232062 | + | 0.977288i | ||||
\(928\) | 42.1260 | + | 13.1847i | 1.38285 | + | 0.432810i | ||||
\(929\) | 12.2055 | − | 10.2416i | 0.400448 | − | 0.336016i | −0.420219 | − | 0.907423i | \(-0.638047\pi\) |
0.820667 | + | 0.571407i | \(0.193602\pi\) | |||||||
\(930\) | 18.8220 | − | 62.3533i | 0.617197 | − | 2.04465i | ||||
\(931\) | −13.7807 | + | 9.64935i | −0.451644 | + | 0.316245i | ||||
\(932\) | 48.3760 | − | 11.2115i | 1.58461 | − | 0.367244i | ||||
\(933\) | −56.0152 | + | 16.7829i | −1.83386 | + | 0.549447i | ||||
\(934\) | −2.55558 | − | 22.3463i | −0.0836213 | − | 0.731194i | ||||
\(935\) | −7.71180 | − | 4.45241i | −0.252203 | − | 0.145609i | ||||
\(936\) | −6.10350 | − | 3.11926i | −0.199499 | − | 0.101956i | ||||
\(937\) | 0.360122 | − | 0.207917i | 0.0117647 | − | 0.00679235i | −0.494106 | − | 0.869402i | \(-0.664505\pi\) |
0.505871 | + | 0.862609i | \(0.331171\pi\) | |||||||
\(938\) | 12.9147 | + | 17.4378i | 0.421679 | + | 0.569364i | ||||
\(939\) | 35.4619 | + | 15.2878i | 1.15725 | + | 0.498898i | ||||
\(940\) | −22.5595 | + | 12.0195i | −0.735810 | + | 0.392033i | ||||
\(941\) | 11.4335 | + | 5.33155i | 0.372723 | + | 0.173803i | 0.599948 | − | 0.800039i | \(-0.295188\pi\) |
−0.227226 | + | 0.973842i | \(0.572966\pi\) | |||||||
\(942\) | 18.7654 | + | 14.0368i | 0.611411 | + | 0.457343i | ||||
\(943\) | 5.86959 | + | 33.2881i | 0.191140 | + | 1.08401i | ||||
\(944\) | −0.987196 | − | 51.5723i | −0.0321305 | − | 1.67853i | ||||
\(945\) | −37.4260 | − | 17.4229i | −1.21747 | − | 0.566767i | ||||
\(946\) | −35.2302 | + | 7.18313i | −1.14543 | + | 0.233544i | ||||
\(947\) | −7.02203 | + | 10.0285i | −0.228185 | + | 0.325883i | −0.916876 | − | 0.399173i | \(-0.869297\pi\) |
0.688690 | + | 0.725056i | \(0.258186\pi\) | |||||||
\(948\) | 21.1174 | + | 3.82733i | 0.685862 | + | 0.124306i | ||||
\(949\) | −3.86504 | + | 8.28860i | −0.125464 | + | 0.269059i | ||||
\(950\) | −24.6854 | − | 83.2078i | −0.800901 | − | 2.69962i | ||||
\(951\) | −27.5490 | − | 21.7734i | −0.893337 | − | 0.706050i | ||||
\(952\) | −4.46295 | + | 1.16022i | −0.144645 | + | 0.0376030i | ||||
\(953\) | 49.8922 | − | 28.8053i | 1.61617 | − | 0.933095i | 0.628268 | − | 0.777997i | \(-0.283764\pi\) |
0.987899 | − | 0.155098i | \(-0.0495692\pi\) | |||||||
\(954\) | −0.956397 | − | 1.66444i | −0.0309645 | − | 0.0538882i | ||||
\(955\) | −8.42090 | − | 31.4272i | −0.272494 | − | 1.01696i | ||||
\(956\) | −8.01075 | + | 15.7548i | −0.259086 | + | 0.509547i | ||||
\(957\) | 33.6588 | + | 7.96971i | 1.08804 | + | 0.257624i | ||||
\(958\) | −36.2275 | + | 0.963934i | −1.17046 | + | 0.0311433i | ||||
\(959\) | 0.646567 | − | 3.66687i | 0.0208788 | − | 0.118409i | ||||
\(960\) | −53.8912 | − | 18.7418i | −1.73933 | − | 0.604889i | ||||
\(961\) | 8.19562 | − | 6.87694i | 0.264375 | − | 0.221837i | ||||
\(962\) | −0.275771 | − | 0.0921424i | −0.00889122 | − | 0.00297079i | ||||
\(963\) | −1.67551 | − | 11.4047i | −0.0539925 | − | 0.367511i | ||||
\(964\) | 30.8304 | + | 23.1916i | 0.992981 | + | 0.746953i | ||||
\(965\) | 55.5799 | − | 25.9173i | 1.78918 | − | 0.834308i | ||||
\(966\) | 16.5571 | − | 18.5201i | 0.532717 | − | 0.595875i | ||||
\(967\) | 28.1828 | − | 33.5870i | 0.906299 | − | 1.08008i | −0.0901540 | − | 0.995928i | \(-0.528736\pi\) |
0.996453 | − | 0.0841567i | \(-0.0268196\pi\) | |||||||
\(968\) | −7.29632 | + | 10.2565i | −0.234513 | + | 0.329656i | ||||
\(969\) | 7.13192 | + | 2.36157i | 0.229110 | + | 0.0758647i | ||||
\(970\) | 35.8572 | − | 82.5611i | 1.15131 | − | 2.65088i | ||||
\(971\) | −1.18650 | + | 1.18650i | −0.0380765 | + | 0.0380765i | −0.725889 | − | 0.687812i | \(-0.758571\pi\) |
0.687812 | + | 0.725889i | \(0.258571\pi\) | |||||||
\(972\) | 31.1168 | + | 1.93442i | 0.998073 | + | 0.0620465i | ||||
\(973\) | −10.0215 | − | 10.0215i | −0.321275 | − | 0.321275i | ||||
\(974\) | −0.166744 | − | 0.422781i | −0.00534282 | − | 0.0135468i | ||||
\(975\) | 5.25828 | − | 15.8799i | 0.168400 | − | 0.508565i | ||||
\(976\) | 6.77879 | − | 2.61526i | 0.216984 | − | 0.0837123i | ||||
\(977\) | 46.5426 | + | 39.0538i | 1.48903 | + | 1.24944i | 0.895838 | + | 0.444381i | \(0.146576\pi\) |
0.593190 | + | 0.805062i | \(0.297868\pi\) | |||||||
\(978\) | 37.4001 | − | 2.09298i | 1.19592 | − | 0.0669260i | ||||
\(979\) | 18.4761 | + | 39.6221i | 0.590499 | + | 1.26633i | ||||
\(980\) | −26.7245 | + | 3.77887i | −0.853684 | + | 0.120712i | ||||
\(981\) | −31.2342 | + | 4.58873i | −0.997230 | + | 0.146507i | ||||
\(982\) | −3.66964 | + | 1.83155i | −0.117103 | + | 0.0584470i | ||||
\(983\) | −0.431378 | − | 0.514096i | −0.0137588 | − | 0.0163971i | 0.759121 | − | 0.650949i | \(-0.225629\pi\) |
−0.772880 | + | 0.634552i | \(0.781185\pi\) | |||||||
\(984\) | 4.79167 | − | 31.1368i | 0.152753 | − | 0.992606i | ||||
\(985\) | 58.2307 | + | 10.2676i | 1.85538 | + | 0.327154i | ||||
\(986\) | −6.76659 | − | 6.41583i | −0.215492 | − | 0.204322i | ||||
\(987\) | −2.38994 | + | 10.0935i | −0.0760726 | + | 0.321281i | ||||
\(988\) | −7.39241 | − | 3.75877i | −0.235184 | − | 0.119583i | ||||
\(989\) | −50.4381 | + | 13.5149i | −1.60384 | + | 0.429748i | ||||
\(990\) | −43.1632 | − | 11.6609i | −1.37182 | − | 0.370609i | ||||
\(991\) | 1.44716 | + | 2.50656i | 0.0459706 | + | 0.0796235i | 0.888095 | − | 0.459660i | \(-0.152029\pi\) |
−0.842125 | + | 0.539283i | \(0.818695\pi\) | |||||||
\(992\) | −22.2984 | − | 28.9333i | −0.707974 | − | 0.918634i | ||||
\(993\) | −8.25183 | + | 10.4407i | −0.261864 | + | 0.331326i | ||||
\(994\) | 0.00213643 | − | 0.00393878i | 6.77636e−5 | − | 0.000124931i | ||||
\(995\) | 2.27006 | + | 1.05855i | 0.0719658 | + | 0.0335582i | ||||
\(996\) | −16.3429 | − | 23.5783i | −0.517845 | − | 0.747106i | ||||
\(997\) | −8.19184 | − | 5.73599i | −0.259438 | − | 0.181661i | 0.436620 | − | 0.899646i | \(-0.356175\pi\) |
−0.696058 | + | 0.717986i | \(0.745064\pi\) | |||||||
\(998\) | 4.07870 | − | 6.16789i | 0.129109 | − | 0.195241i | ||||
\(999\) | 1.31739 | − | 0.116106i | 0.0416805 | − | 0.00367343i |
(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 | 432.2.bg.a.13.8 | ✓ | 840 | |
16.5 | even | 4 | inner | 432.2.bg.a.229.70 | yes | 840 | |
27.25 | even | 9 | inner | 432.2.bg.a.349.70 | yes | 840 | |
432.133 | even | 36 | inner | 432.2.bg.a.133.8 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bg.a.13.8 | ✓ | 840 | 1.1 | even | 1 | trivial | |
432.2.bg.a.133.8 | yes | 840 | 432.133 | even | 36 | inner | |
432.2.bg.a.229.70 | yes | 840 | 16.5 | even | 4 | inner | |
432.2.bg.a.349.70 | yes | 840 | 27.25 | even | 9 | inner |