Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.4 | ||
Root | \(-1.09227 - 0.838128i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.e.97.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.241181 | − | 0.900100i | −0.139246 | − | 0.519673i | −0.999944 | − | 0.0105575i | \(-0.996639\pi\) |
0.860698 | − | 0.509115i | \(-0.170027\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 2.17497 | + | 0.519137i | 0.972676 | + | 0.232165i | ||||
\(6\) | −0.658919 | + | 0.658919i | −0.269002 | + | 0.269002i | ||||
\(7\) | 0.596272 | + | 2.22532i | 0.225370 | + | 0.841091i | 0.982256 | + | 0.187544i | \(0.0600528\pi\) |
−0.756887 | + | 0.653546i | \(0.773280\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.84607 | − | 1.06583i | 0.615355 | − | 0.355275i | ||||
\(10\) | −0.637899 | − | 2.14315i | −0.201721 | − | 0.677723i | ||||
\(11\) | 4.55406i | 1.37310i | 0.727083 | + | 0.686550i | \(0.240876\pi\) | ||||
−0.727083 | + | 0.686550i | \(0.759124\pi\) | |||||||
\(12\) | 0.900100 | + | 0.241181i | 0.259836 | + | 0.0696229i | ||||
\(13\) | −2.24441 | + | 3.88744i | −0.622489 | + | 1.07818i | 0.366532 | + | 0.930405i | \(0.380545\pi\) |
−0.989021 | + | 0.147776i | \(0.952788\pi\) | |||||||
\(14\) | 1.62904 | − | 1.62904i | 0.435381 | − | 0.435381i | ||||
\(15\) | −0.0572862 | − | 2.08290i | −0.0147912 | − | 0.537801i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0.121109 | − | 0.0699221i | 0.0293731 | − | 0.0169586i | −0.485242 | − | 0.874380i | \(-0.661268\pi\) |
0.514615 | + | 0.857422i | \(0.327935\pi\) | |||||||
\(18\) | −1.84607 | − | 1.06583i | −0.435122 | − | 0.251218i | ||||
\(19\) | 4.17940 | − | 1.11987i | 0.958819 | − | 0.256915i | 0.254719 | − | 0.967015i | \(-0.418017\pi\) |
0.704101 | + | 0.710100i | \(0.251350\pi\) | |||||||
\(20\) | −1.53707 | + | 1.62401i | −0.343700 | + | 0.363140i | ||||
\(21\) | 1.85920 | − | 1.07341i | 0.405710 | − | 0.234237i | ||||
\(22\) | 3.94393 | − | 2.27703i | 0.840849 | − | 0.485464i | ||||
\(23\) | 0.446769 | 0.0931578 | 0.0465789 | − | 0.998915i | \(-0.485168\pi\) | ||||
0.0465789 | + | 0.998915i | \(0.485168\pi\) | |||||||
\(24\) | −0.241181 | − | 0.900100i | −0.0492309 | − | 0.183732i | ||||
\(25\) | 4.46099 | + | 2.25822i | 0.892199 | + | 0.451643i | ||||
\(26\) | 4.48883 | 0.880332 | ||||||||
\(27\) | −3.38134 | − | 3.38134i | −0.650739 | − | 0.650739i | ||||
\(28\) | −2.22532 | − | 0.596272i | −0.420545 | − | 0.112685i | ||||
\(29\) | 4.72158 | − | 4.72158i | 0.876775 | − | 0.876775i | −0.116424 | − | 0.993200i | \(-0.537143\pi\) |
0.993200 | + | 0.116424i | \(0.0371433\pi\) | |||||||
\(30\) | −1.77520 | + | 1.09106i | −0.324105 | + | 0.199199i | ||||
\(31\) | −4.75531 | − | 4.75531i | −0.854079 | − | 0.854079i | 0.136553 | − | 0.990633i | \(-0.456398\pi\) |
−0.990633 | + | 0.136553i | \(0.956398\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 4.09911 | − | 1.09835i | 0.713563 | − | 0.191199i | ||||
\(34\) | −0.121109 | − | 0.0699221i | −0.0207699 | − | 0.0119915i | ||||
\(35\) | 0.141629 | + | 5.14954i | 0.0239396 | + | 0.870432i | ||||
\(36\) | 2.13165i | 0.355275i | ||||||||
\(37\) | −2.51884 | − | 5.53674i | −0.414095 | − | 0.910234i | ||||
\(38\) | −3.05953 | − | 3.05953i | −0.496321 | − | 0.496321i | ||||
\(39\) | 4.04039 | + | 1.08262i | 0.646981 | + | 0.173358i | ||||
\(40\) | 2.17497 | + | 0.519137i | 0.343893 | + | 0.0820828i | ||||
\(41\) | 1.14270 | + | 0.659738i | 0.178460 | + | 0.103034i | 0.586569 | − | 0.809899i | \(-0.300478\pi\) |
−0.408109 | + | 0.912933i | \(0.633812\pi\) | |||||||
\(42\) | −1.85920 | − | 1.07341i | −0.286880 | − | 0.165630i | ||||
\(43\) | −9.82870 | −1.49886 | −0.749432 | − | 0.662082i | \(-0.769673\pi\) | ||||
−0.749432 | + | 0.662082i | \(0.769673\pi\) | |||||||
\(44\) | −3.94393 | − | 2.27703i | −0.594570 | − | 0.343275i | ||||
\(45\) | 4.56845 | − | 1.35978i | 0.681024 | − | 0.202704i | ||||
\(46\) | −0.223385 | − | 0.386913i | −0.0329363 | − | 0.0570473i | ||||
\(47\) | 4.73670 | − | 4.73670i | 0.690919 | − | 0.690919i | −0.271515 | − | 0.962434i | \(-0.587525\pi\) |
0.962434 | + | 0.271515i | \(0.0875248\pi\) | |||||||
\(48\) | −0.658919 | + | 0.658919i | −0.0951067 | + | 0.0951067i | ||||
\(49\) | 1.46568 | − | 0.846213i | 0.209383 | − | 0.120888i | ||||
\(50\) | −0.274824 | − | 4.99244i | −0.0388659 | − | 0.706038i | ||||
\(51\) | −0.0921459 | − | 0.0921459i | −0.0129030 | − | 0.0129030i | ||||
\(52\) | −2.24441 | − | 3.88744i | −0.311244 | − | 0.539091i | ||||
\(53\) | −0.694126 | + | 2.59051i | −0.0953455 | + | 0.355834i | −0.997072 | − | 0.0764735i | \(-0.975634\pi\) |
0.901726 | + | 0.432308i | \(0.142301\pi\) | |||||||
\(54\) | −1.23766 | + | 4.61900i | −0.168424 | + | 0.628566i | ||||
\(55\) | −2.36418 | + | 9.90494i | −0.318786 | + | 1.33558i | ||||
\(56\) | 0.596272 | + | 2.22532i | 0.0796802 | + | 0.297370i | ||||
\(57\) | −2.01598 | − | 3.49178i | −0.267023 | − | 0.462498i | ||||
\(58\) | −6.44980 | − | 1.72822i | −0.846900 | − | 0.226926i | ||||
\(59\) | −2.78169 | + | 10.3814i | −0.362145 | + | 1.35154i | 0.509106 | + | 0.860704i | \(0.329976\pi\) |
−0.871251 | + | 0.490839i | \(0.836690\pi\) | |||||||
\(60\) | 1.83248 | + | 0.991837i | 0.236573 | + | 0.128046i | ||||
\(61\) | 10.7659 | − | 2.88470i | 1.37843 | − | 0.369348i | 0.507877 | − | 0.861430i | \(-0.330430\pi\) |
0.870549 | + | 0.492081i | \(0.163764\pi\) | |||||||
\(62\) | −1.74057 | + | 6.49588i | −0.221052 | + | 0.824977i | ||||
\(63\) | 3.47256 | + | 3.47256i | 0.437501 | + | 0.437501i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −6.89965 | + | 7.28991i | −0.855796 | + | 0.904202i | ||||
\(66\) | −3.00075 | − | 3.00075i | −0.369367 | − | 0.369367i | ||||
\(67\) | −8.53652 | + | 2.28735i | −1.04290 | + | 0.279445i | −0.739315 | − | 0.673359i | \(-0.764851\pi\) |
−0.303586 | + | 0.952804i | \(0.598184\pi\) | |||||||
\(68\) | 0.139844i | 0.0169586i | ||||||||
\(69\) | −0.107752 | − | 0.402137i | −0.0129718 | − | 0.0484116i | ||||
\(70\) | 4.38882 | − | 2.69743i | 0.524565 | − | 0.322404i | ||||
\(71\) | −7.49915 | + | 12.9889i | −0.889986 | + | 1.54150i | −0.0500953 | + | 0.998744i | \(0.515953\pi\) |
−0.839890 | + | 0.542756i | \(0.817381\pi\) | |||||||
\(72\) | 1.84607 | − | 1.06583i | 0.217561 | − | 0.125609i | ||||
\(73\) | 3.51132 | − | 3.51132i | 0.410969 | − | 0.410969i | −0.471107 | − | 0.882076i | \(-0.656145\pi\) |
0.882076 | + | 0.471107i | \(0.156145\pi\) | |||||||
\(74\) | −3.53553 | + | 4.94975i | −0.410997 | + | 0.575396i | ||||
\(75\) | 0.956713 | − | 4.55998i | 0.110472 | − | 0.526541i | ||||
\(76\) | −1.11987 | + | 4.17940i | −0.128457 | + | 0.479410i | ||||
\(77\) | −10.1342 | + | 2.71546i | −1.15490 | + | 0.309455i | ||||
\(78\) | −1.08262 | − | 4.04039i | −0.122583 | − | 0.457484i | ||||
\(79\) | 8.56826 | − | 2.29586i | 0.964004 | − | 0.258304i | 0.257710 | − | 0.966222i | \(-0.417032\pi\) |
0.706294 | + | 0.707918i | \(0.250365\pi\) | |||||||
\(80\) | −0.637899 | − | 2.14315i | −0.0713193 | − | 0.239611i | ||||
\(81\) | 0.969450 | − | 1.67914i | 0.107717 | − | 0.186571i | ||||
\(82\) | − | 1.31948i | − | 0.145712i | ||||||
\(83\) | 0.647412 | − | 2.41618i | 0.0710627 | − | 0.265210i | −0.921249 | − | 0.388973i | \(-0.872830\pi\) |
0.992312 | + | 0.123764i | \(0.0394965\pi\) | |||||||
\(84\) | 2.14682i | 0.234237i | ||||||||
\(85\) | 0.299707 | − | 0.0892064i | 0.0325078 | − | 0.00967580i | ||||
\(86\) | 4.91435 | + | 8.51191i | 0.529928 | + | 0.917862i | ||||
\(87\) | −5.38865 | − | 3.11114i | −0.577723 | − | 0.333549i | ||||
\(88\) | 4.55406i | 0.485464i | ||||||||
\(89\) | −17.1027 | − | 4.58267i | −1.81289 | − | 0.485762i | −0.817022 | − | 0.576606i | \(-0.804377\pi\) |
−0.995865 | + | 0.0908446i | \(0.971043\pi\) | |||||||
\(90\) | −3.46183 | − | 3.27650i | −0.364909 | − | 0.345374i | ||||
\(91\) | −9.98907 | − | 2.67656i | −1.04714 | − | 0.280580i | ||||
\(92\) | −0.223385 | + | 0.386913i | −0.0232894 | + | 0.0403385i | ||||
\(93\) | −3.13336 | + | 5.42715i | −0.324915 | + | 0.562769i | ||||
\(94\) | −6.47045 | − | 1.73375i | −0.667376 | − | 0.178823i | ||||
\(95\) | 9.67143 | − | 0.265995i | 0.992268 | − | 0.0272905i | ||||
\(96\) | 0.900100 | + | 0.241181i | 0.0918660 | + | 0.0246154i | ||||
\(97\) | − | 11.6370i | − | 1.18156i | −0.806833 | − | 0.590779i | \(-0.798820\pi\) | ||
0.806833 | − | 0.590779i | \(-0.201180\pi\) | |||||||
\(98\) | −1.46568 | − | 0.846213i | −0.148056 | − | 0.0854804i | ||||
\(99\) | 4.85383 | + | 8.40709i | 0.487829 | + | 0.844944i | ||||
\(100\) | −4.18617 | + | 2.73423i | −0.418617 | + | 0.273423i | ||||
\(101\) | 5.49382i | 0.546656i | 0.961921 | + | 0.273328i | \(0.0881244\pi\) | ||||
−0.961921 | + | 0.273328i | \(0.911876\pi\) | |||||||
\(102\) | −0.0337277 | + | 0.125874i | −0.00333954 | + | 0.0124633i | ||||
\(103\) | 1.82053i | 0.179382i | 0.995970 | + | 0.0896912i | \(0.0285880\pi\) | ||||
−0.995970 | + | 0.0896912i | \(0.971412\pi\) | |||||||
\(104\) | −2.24441 | + | 3.88744i | −0.220083 | + | 0.381195i | ||||
\(105\) | 4.60094 | − | 1.36945i | 0.449006 | − | 0.133645i | ||||
\(106\) | 2.59051 | − | 0.694126i | 0.251613 | − | 0.0674195i | ||||
\(107\) | 0.351210 | + | 1.31073i | 0.0339527 | + | 0.126713i | 0.980822 | − | 0.194905i | \(-0.0624399\pi\) |
−0.946869 | + | 0.321618i | \(0.895773\pi\) | |||||||
\(108\) | 4.61900 | − | 1.23766i | 0.444463 | − | 0.119094i | ||||
\(109\) | 3.23620 | − | 12.0777i | 0.309971 | − | 1.15683i | −0.618609 | − | 0.785699i | \(-0.712304\pi\) |
0.928581 | − | 0.371130i | \(-0.121030\pi\) | |||||||
\(110\) | 9.76002 | − | 2.90503i | 0.930581 | − | 0.276984i | ||||
\(111\) | −4.37612 | + | 3.60256i | −0.415363 | + | 0.341940i | ||||
\(112\) | 1.62904 | − | 1.62904i | 0.153930 | − | 0.153930i | ||||
\(113\) | −9.25360 | + | 5.34257i | −0.870506 | + | 0.502587i | −0.867516 | − | 0.497409i | \(-0.834285\pi\) |
−0.00298939 | + | 0.999996i | \(0.500952\pi\) | |||||||
\(114\) | −2.01598 | + | 3.49178i | −0.188814 | + | 0.327035i | ||||
\(115\) | 0.971710 | + | 0.231934i | 0.0906124 | + | 0.0216280i | ||||
\(116\) | 1.72822 | + | 6.44980i | 0.160461 | + | 0.598849i | ||||
\(117\) | 9.56862i | 0.884620i | ||||||||
\(118\) | 10.3814 | − | 2.78169i | 0.955685 | − | 0.256075i | ||||
\(119\) | 0.227812 | + | 0.227812i | 0.0208835 | + | 0.0208835i | ||||
\(120\) | −0.0572862 | − | 2.08290i | −0.00522949 | − | 0.190142i | ||||
\(121\) | −9.73944 | −0.885404 | ||||||||
\(122\) | −7.88115 | − | 7.88115i | −0.713526 | − | 0.713526i | ||||
\(123\) | 0.318232 | − | 1.18766i | 0.0286940 | − | 0.107088i | ||||
\(124\) | 6.49588 | − | 1.74057i | 0.583347 | − | 0.156307i | ||||
\(125\) | 8.53020 | + | 7.22742i | 0.762965 | + | 0.646440i | ||||
\(126\) | 1.27104 | − | 4.74360i | 0.113234 | − | 0.422594i | ||||
\(127\) | −0.590471 | − | 0.158216i | −0.0523958 | − | 0.0140394i | 0.232526 | − | 0.972590i | \(-0.425301\pi\) |
−0.284922 | + | 0.958551i | \(0.591968\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 2.37050 | + | 8.84681i | 0.208711 | + | 0.778918i | ||||
\(130\) | 9.76307 | + | 2.33032i | 0.856278 | + | 0.204382i | ||||
\(131\) | −0.681004 | + | 2.54154i | −0.0594996 | + | 0.222056i | −0.989273 | − | 0.146076i | \(-0.953336\pi\) |
0.929774 | + | 0.368131i | \(0.120002\pi\) | |||||||
\(132\) | −1.09835 | + | 4.09911i | −0.0955993 | + | 0.356781i | ||||
\(133\) | 4.98411 | + | 8.63274i | 0.432177 | + | 0.748553i | ||||
\(134\) | 6.24917 | + | 6.24917i | 0.539846 | + | 0.539846i | ||||
\(135\) | −5.59894 | − | 9.10970i | −0.481880 | − | 0.784038i | ||||
\(136\) | 0.121109 | − | 0.0699221i | 0.0103850 | − | 0.00599577i | ||||
\(137\) | 9.35958 | − | 9.35958i | 0.799643 | − | 0.799643i | −0.183396 | − | 0.983039i | \(-0.558709\pi\) |
0.983039 | + | 0.183396i | \(0.0587091\pi\) | |||||||
\(138\) | −0.294384 | + | 0.294384i | −0.0250597 | + | 0.0250597i | ||||
\(139\) | −5.90003 | − | 10.2192i | −0.500434 | − | 0.866778i | −1.00000 | 0.000501485i | \(-0.999840\pi\) | |
0.499566 | − | 0.866276i | \(-0.333493\pi\) | |||||||
\(140\) | −4.53045 | − | 2.45212i | −0.382893 | − | 0.207242i | ||||
\(141\) | −5.40590 | − | 3.12110i | −0.455259 | − | 0.262844i | ||||
\(142\) | 14.9983 | 1.25863 | ||||||||
\(143\) | −17.7036 | − | 10.2212i | −1.48045 | − | 0.854739i | ||||
\(144\) | −1.84607 | − | 1.06583i | −0.153839 | − | 0.0888189i | ||||
\(145\) | 12.7204 | − | 7.81815i | 1.05638 | − | 0.649262i | ||||
\(146\) | −4.79656 | − | 1.28523i | −0.396966 | − | 0.106367i | ||||
\(147\) | −1.11517 | − | 1.11517i | −0.0919778 | − | 0.0919778i | ||||
\(148\) | 6.05437 | + | 0.586988i | 0.497666 | + | 0.0482502i | ||||
\(149\) | − | 10.4140i | − | 0.853150i | −0.904452 | − | 0.426575i | \(-0.859720\pi\) | ||
0.904452 | − | 0.426575i | \(-0.140280\pi\) | |||||||
\(150\) | −4.42741 | + | 1.45145i | −0.361497 | + | 0.118510i | ||||
\(151\) | −12.1808 | − | 7.03261i | −0.991263 | − | 0.572306i | −0.0856115 | − | 0.996329i | \(-0.527284\pi\) |
−0.905652 | + | 0.424023i | \(0.860618\pi\) | |||||||
\(152\) | 4.17940 | − | 1.11987i | 0.338994 | − | 0.0908331i | ||||
\(153\) | 0.149050 | − | 0.258161i | 0.0120499 | − | 0.0208711i | ||||
\(154\) | 7.41876 | + | 7.41876i | 0.597821 | + | 0.597821i | ||||
\(155\) | −7.87401 | − | 12.8113i | −0.632455 | − | 1.02903i | ||||
\(156\) | −2.95777 | + | 2.95777i | −0.236811 | + | 0.236811i | ||||
\(157\) | −9.31662 | − | 2.49638i | −0.743547 | − | 0.199233i | −0.132893 | − | 0.991130i | \(-0.542427\pi\) |
−0.610654 | + | 0.791897i | \(0.709093\pi\) | |||||||
\(158\) | −6.27240 | − | 6.27240i | −0.499005 | − | 0.499005i | ||||
\(159\) | 2.49913 | 0.198194 | ||||||||
\(160\) | −1.53707 | + | 1.62401i | −0.121516 | + | 0.128389i | ||||
\(161\) | 0.266396 | + | 0.994203i | 0.0209949 | + | 0.0783541i | ||||
\(162\) | −1.93890 | −0.152334 | ||||||||
\(163\) | 6.83525 | − | 3.94633i | 0.535378 | − | 0.309101i | −0.207826 | − | 0.978166i | \(-0.566639\pi\) |
0.743204 | + | 0.669065i | \(0.233305\pi\) | |||||||
\(164\) | −1.14270 | + | 0.659738i | −0.0892298 | + | 0.0515169i | ||||
\(165\) | 9.48563 | − | 0.260885i | 0.738455 | − | 0.0203099i | ||||
\(166\) | −2.41618 | + | 0.647412i | −0.187532 | + | 0.0502489i | ||||
\(167\) | 4.43336 | + | 2.55960i | 0.343064 | + | 0.198068i | 0.661626 | − | 0.749834i | \(-0.269867\pi\) |
−0.318562 | + | 0.947902i | \(0.603200\pi\) | |||||||
\(168\) | 1.85920 | − | 1.07341i | 0.143440 | − | 0.0828152i | ||||
\(169\) | −3.57479 | − | 6.19172i | −0.274984 | − | 0.476286i | ||||
\(170\) | −0.227108 | − | 0.214950i | −0.0174184 | − | 0.0164859i | ||||
\(171\) | 6.52186 | − | 6.52186i | 0.498739 | − | 0.498739i | ||||
\(172\) | 4.91435 | − | 8.51191i | 0.374716 | − | 0.649027i | ||||
\(173\) | 12.7248 | + | 3.40960i | 0.967448 | + | 0.259227i | 0.707750 | − | 0.706463i | \(-0.249710\pi\) |
0.259698 | + | 0.965690i | \(0.416377\pi\) | |||||||
\(174\) | 6.22227i | 0.471709i | ||||||||
\(175\) | −2.36528 | + | 11.2736i | −0.178799 | + | 0.852207i | ||||
\(176\) | 3.94393 | − | 2.27703i | 0.297285 | − | 0.171638i | ||||
\(177\) | 10.0152 | 0.752787 | ||||||||
\(178\) | 4.58267 | + | 17.1027i | 0.343485 | + | 1.28190i | ||||
\(179\) | −13.6004 | + | 13.6004i | −1.01654 | + | 1.01654i | −0.0166842 | + | 0.999861i | \(0.505311\pi\) |
−0.999861 | + | 0.0166842i | \(0.994689\pi\) | |||||||
\(180\) | −1.10662 | + | 4.63628i | −0.0824826 | + | 0.345568i | ||||
\(181\) | −5.90244 | + | 10.2233i | −0.438725 | + | 0.759894i | −0.997591 | − | 0.0693636i | \(-0.977903\pi\) |
0.558866 | + | 0.829258i | \(0.311236\pi\) | |||||||
\(182\) | 2.67656 | + | 9.98907i | 0.198400 | + | 0.740439i | ||||
\(183\) | −5.19304 | − | 8.99461i | −0.383880 | − | 0.664900i | ||||
\(184\) | 0.446769 | 0.0329363 | ||||||||
\(185\) | −2.60408 | − | 13.3499i | −0.191456 | − | 0.981501i | ||||
\(186\) | 6.26673 | 0.459499 | ||||||||
\(187\) | 0.318429 | + | 0.551535i | 0.0232858 | + | 0.0403323i | ||||
\(188\) | 1.73375 | + | 6.47045i | 0.126447 | + | 0.471906i | ||||
\(189\) | 5.50836 | − | 9.54075i | 0.400674 | − | 0.693988i | ||||
\(190\) | −5.06607 | − | 8.24271i | −0.367532 | − | 0.597989i | ||||
\(191\) | 8.07962 | − | 8.07962i | 0.584621 | − | 0.584621i | −0.351549 | − | 0.936170i | \(-0.614345\pi\) |
0.936170 | + | 0.351549i | \(0.114345\pi\) | |||||||
\(192\) | −0.241181 | − | 0.900100i | −0.0174057 | − | 0.0649591i | ||||
\(193\) | −6.17771 | −0.444682 | −0.222341 | − | 0.974969i | \(-0.571370\pi\) | ||||
−0.222341 | + | 0.974969i | \(0.571370\pi\) | |||||||
\(194\) | −10.0779 | + | 5.81850i | −0.723554 | + | 0.417744i | ||||
\(195\) | 8.22571 | + | 4.45219i | 0.589055 | + | 0.318828i | ||||
\(196\) | 1.69243i | 0.120888i | ||||||||
\(197\) | 17.5440 | + | 4.70090i | 1.24996 | + | 0.334925i | 0.822320 | − | 0.569025i | \(-0.192679\pi\) |
0.427638 | + | 0.903950i | \(0.359346\pi\) | |||||||
\(198\) | 4.85383 | − | 8.40709i | 0.344947 | − | 0.597466i | ||||
\(199\) | 13.6366 | − | 13.6366i | 0.966675 | − | 0.966675i | −0.0327878 | − | 0.999462i | \(-0.510439\pi\) |
0.999462 | + | 0.0327878i | \(0.0104386\pi\) | |||||||
\(200\) | 4.46099 | + | 2.25822i | 0.315440 | + | 0.159680i | ||||
\(201\) | 4.11769 | + | 7.13205i | 0.290440 | + | 0.503056i | ||||
\(202\) | 4.75779 | − | 2.74691i | 0.334757 | − | 0.193272i | ||||
\(203\) | 13.3224 | + | 7.69166i | 0.935046 | + | 0.539849i | ||||
\(204\) | 0.125874 | − | 0.0337277i | 0.00881292 | − | 0.00236141i | ||||
\(205\) | 2.14284 | + | 2.02813i | 0.149663 | + | 0.141651i | ||||
\(206\) | 1.57663 | − | 0.910266i | 0.109849 | − | 0.0634212i | ||||
\(207\) | 0.824765 | − | 0.476178i | 0.0573251 | − | 0.0330967i | ||||
\(208\) | 4.48883 | 0.311244 | ||||||||
\(209\) | 5.09993 | + | 19.0332i | 0.352770 | + | 1.31655i | ||||
\(210\) | −3.48645 | − | 3.29981i | −0.240588 | − | 0.227708i | ||||
\(211\) | 8.34576 | 0.574546 | 0.287273 | − | 0.957849i | \(-0.407251\pi\) | ||||
0.287273 | + | 0.957849i | \(0.407251\pi\) | |||||||
\(212\) | −1.89639 | − | 1.89639i | −0.130244 | − | 0.130244i | ||||
\(213\) | 13.5000 | + | 3.61731i | 0.925003 | + | 0.247854i | ||||
\(214\) | 0.959523 | − | 0.959523i | 0.0655916 | − | 0.0655916i | ||||
\(215\) | −21.3771 | − | 5.10245i | −1.45791 | − | 0.347984i | ||||
\(216\) | −3.38134 | − | 3.38134i | −0.230071 | − | 0.230071i | ||||
\(217\) | 7.74662 | − | 13.4175i | 0.525875 | − | 0.910842i | ||||
\(218\) | −12.0777 | + | 3.23620i | −0.818002 | + | 0.219183i | ||||
\(219\) | −4.00740 | − | 2.31368i | −0.270795 | − | 0.156344i | ||||
\(220\) | −7.39584 | − | 6.99991i | −0.498627 | − | 0.471934i | ||||
\(221\) | 0.627736i | 0.0422261i | ||||||||
\(222\) | 5.30797 | + | 1.98855i | 0.356248 | + | 0.133463i | ||||
\(223\) | −5.05082 | − | 5.05082i | −0.338228 | − | 0.338228i | 0.517472 | − | 0.855700i | \(-0.326873\pi\) |
−0.855700 | + | 0.517472i | \(0.826873\pi\) | |||||||
\(224\) | −2.22532 | − | 0.596272i | −0.148685 | − | 0.0398401i | ||||
\(225\) | 10.6422 | − | 0.585829i | 0.709477 | − | 0.0390552i | ||||
\(226\) | 9.25360 | + | 5.34257i | 0.615540 | + | 0.355382i | ||||
\(227\) | −1.75644 | − | 1.01408i | −0.116579 | − | 0.0673069i | 0.440577 | − | 0.897715i | \(-0.354774\pi\) |
−0.557156 | + | 0.830408i | \(0.688107\pi\) | |||||||
\(228\) | 4.03196 | 0.267023 | ||||||||
\(229\) | 11.0500 | + | 6.37974i | 0.730207 | + | 0.421585i | 0.818498 | − | 0.574510i | \(-0.194807\pi\) |
−0.0882909 | + | 0.996095i | \(0.528140\pi\) | |||||||
\(230\) | −0.284994 | − | 0.957492i | −0.0187919 | − | 0.0631352i | ||||
\(231\) | 4.88836 | + | 8.46689i | 0.321631 | + | 0.557081i | ||||
\(232\) | 4.72158 | − | 4.72158i | 0.309987 | − | 0.309987i | ||||
\(233\) | −20.9280 | + | 20.9280i | −1.37104 | + | 1.37104i | −0.512137 | + | 0.858904i | \(0.671146\pi\) |
−0.858904 | + | 0.512137i | \(0.828854\pi\) | |||||||
\(234\) | 8.28667 | − | 4.78431i | 0.541717 | − | 0.312760i | ||||
\(235\) | 12.7612 | − | 7.84318i | 0.832448 | − | 0.511633i | ||||
\(236\) | −7.59971 | − | 7.59971i | −0.494699 | − | 0.494699i | ||||
\(237\) | −4.13300 | − | 7.15857i | −0.268467 | − | 0.464999i | ||||
\(238\) | 0.0833851 | − | 0.311197i | 0.00540505 | − | 0.0201719i | ||||
\(239\) | 7.63736 | − | 28.5030i | 0.494020 | − | 1.84371i | −0.0414310 | − | 0.999141i | \(-0.513192\pi\) |
0.535451 | − | 0.844566i | \(-0.320142\pi\) | |||||||
\(240\) | −1.77520 | + | 1.09106i | −0.114589 | + | 0.0704276i | ||||
\(241\) | −3.69460 | − | 13.7884i | −0.237990 | − | 0.888192i | −0.976778 | − | 0.214254i | \(-0.931268\pi\) |
0.738788 | − | 0.673938i | \(-0.235399\pi\) | |||||||
\(242\) | 4.86972 | + | 8.43460i | 0.313038 | + | 0.542197i | ||||
\(243\) | −15.6022 | − | 4.18060i | −1.00088 | − | 0.268185i | ||||
\(244\) | −2.88470 | + | 10.7659i | −0.184674 | + | 0.689213i | ||||
\(245\) | 3.62712 | − | 1.07960i | 0.231728 | − | 0.0689729i | ||||
\(246\) | −1.18766 | + | 0.318232i | −0.0757224 | + | 0.0202898i | ||||
\(247\) | −5.02689 | + | 18.7606i | −0.319853 | + | 1.19371i | ||||
\(248\) | −4.75531 | − | 4.75531i | −0.301963 | − | 0.301963i | ||||
\(249\) | −2.33094 | −0.147717 | ||||||||
\(250\) | 1.99403 | − | 11.0011i | 0.126113 | − | 0.695770i | ||||
\(251\) | 9.55168 | + | 9.55168i | 0.602897 | + | 0.602897i | 0.941080 | − | 0.338183i | \(-0.109812\pi\) |
−0.338183 | + | 0.941080i | \(0.609812\pi\) | |||||||
\(252\) | −4.74360 | + | 1.27104i | −0.298819 | + | 0.0800683i | ||||
\(253\) | 2.03461i | 0.127915i | ||||||||
\(254\) | 0.158216 | + | 0.590471i | 0.00992737 | + | 0.0370495i | ||||
\(255\) | −0.152578 | − | 0.248251i | −0.00955482 | − | 0.0155461i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −19.4835 | + | 11.2488i | −1.21535 | + | 0.701680i | −0.963919 | − | 0.266196i | \(-0.914233\pi\) |
−0.251427 | + | 0.967876i | \(0.580900\pi\) | |||||||
\(258\) | 6.47632 | − | 6.47632i | 0.403198 | − | 0.403198i | ||||
\(259\) | 10.8191 | − | 8.90662i | 0.672265 | − | 0.553430i | ||||
\(260\) | −2.86342 | − | 9.62023i | −0.177582 | − | 0.596621i | ||||
\(261\) | 3.68396 | − | 13.7487i | 0.228031 | − | 0.851025i | ||||
\(262\) | 2.54154 | − | 0.681004i | 0.157017 | − | 0.0420726i | ||||
\(263\) | −0.428077 | − | 1.59760i | −0.0263963 | − | 0.0985125i | 0.951471 | − | 0.307739i | \(-0.0995722\pi\) |
−0.977867 | + | 0.209226i | \(0.932906\pi\) | |||||||
\(264\) | 4.09911 | − | 1.09835i | 0.252282 | − | 0.0675989i | ||||
\(265\) | −2.85454 | + | 5.27394i | −0.175353 | + | 0.323976i | ||||
\(266\) | 4.98411 | − | 8.63274i | 0.305596 | − | 0.529307i | ||||
\(267\) | 16.4994i | 1.00975i | ||||||||
\(268\) | 2.28735 | − | 8.53652i | 0.139722 | − | 0.521451i | ||||
\(269\) | − | 0.258063i | − | 0.0157344i | −0.999969 | − | 0.00786719i | \(-0.997496\pi\) | ||
0.999969 | − | 0.00786719i | \(-0.00250423\pi\) | |||||||
\(270\) | −5.08976 | + | 9.40367i | −0.309753 | + | 0.572289i | ||||
\(271\) | −6.54357 | − | 11.3338i | −0.397494 | − | 0.688479i | 0.595922 | − | 0.803042i | \(-0.296787\pi\) |
−0.993416 | + | 0.114563i | \(0.963453\pi\) | |||||||
\(272\) | −0.121109 | − | 0.0699221i | −0.00734328 | − | 0.00423965i | ||||
\(273\) | 9.63669i | 0.583239i | ||||||||
\(274\) | −12.7854 | − | 3.42584i | −0.772396 | − | 0.206963i | ||||
\(275\) | −10.2840 | + | 20.3156i | −0.620151 | + | 1.22508i | ||||
\(276\) | 0.402137 | + | 0.107752i | 0.0242058 | + | 0.00648592i | ||||
\(277\) | −6.63909 | + | 11.4992i | −0.398904 | + | 0.690922i | −0.993591 | − | 0.113035i | \(-0.963943\pi\) |
0.594687 | + | 0.803957i | \(0.297276\pi\) | |||||||
\(278\) | −5.90003 | + | 10.2192i | −0.353860 | + | 0.612904i | ||||
\(279\) | −13.8470 | − | 3.71028i | −0.828996 | − | 0.222129i | ||||
\(280\) | 0.141629 | + | 5.14954i | 0.00846394 | + | 0.307744i | ||||
\(281\) | −19.1708 | − | 5.13680i | −1.14363 | − | 0.306436i | −0.363222 | − | 0.931702i | \(-0.618323\pi\) |
−0.780411 | + | 0.625267i | \(0.784990\pi\) | |||||||
\(282\) | 6.24220i | 0.371718i | ||||||||
\(283\) | 9.77846 | + | 5.64560i | 0.581269 | + | 0.335596i | 0.761638 | − | 0.648003i | \(-0.224396\pi\) |
−0.180368 | + | 0.983599i | \(0.557729\pi\) | |||||||
\(284\) | −7.49915 | − | 12.9889i | −0.444993 | − | 0.770750i | ||||
\(285\) | −2.57199 | − | 8.64110i | −0.152351 | − | 0.511854i | ||||
\(286\) | 20.4424i | 1.20878i | ||||||||
\(287\) | −0.786766 | + | 2.93625i | −0.0464413 | + | 0.173321i | ||||
\(288\) | 2.13165i | 0.125609i | ||||||||
\(289\) | −8.49022 | + | 14.7055i | −0.499425 | + | 0.865029i | ||||
\(290\) | −13.1309 | − | 7.10715i | −0.771075 | − | 0.417346i | ||||
\(291\) | −10.4745 | + | 2.80662i | −0.614024 | + | 0.164527i | ||||
\(292\) | 1.28523 | + | 4.79656i | 0.0752126 | + | 0.280697i | ||||
\(293\) | 15.6727 | − | 4.19949i | 0.915610 | − | 0.245337i | 0.229902 | − | 0.973214i | \(-0.426159\pi\) |
0.685708 | + | 0.727877i | \(0.259493\pi\) | |||||||
\(294\) | −0.408181 | + | 1.52335i | −0.0238056 | + | 0.0888437i | ||||
\(295\) | −11.4395 | + | 21.1352i | −0.666031 | + | 1.23054i | ||||
\(296\) | −2.51884 | − | 5.53674i | −0.146405 | − | 0.321816i | ||||
\(297\) | 15.3988 | − | 15.3988i | 0.893530 | − | 0.893530i | ||||
\(298\) | −9.01881 | + | 5.20701i | −0.522445 | + | 0.301634i | ||||
\(299\) | −1.00274 | + | 1.73679i | −0.0579897 | + | 0.100441i | ||||
\(300\) | 3.47070 | + | 3.10853i | 0.200381 | + | 0.179471i | ||||
\(301\) | −5.86058 | − | 21.8720i | −0.337798 | − | 1.26068i | ||||
\(302\) | 14.0652i | 0.809363i | ||||||||
\(303\) | 4.94498 | − | 1.32500i | 0.284082 | − | 0.0761195i | ||||
\(304\) | −3.05953 | − | 3.05953i | −0.175476 | − | 0.175476i | ||||
\(305\) | 24.9130 | − | 0.685185i | 1.42651 | − | 0.0392336i | ||||
\(306\) | −0.298099 | −0.0170412 | ||||||||
\(307\) | −20.9722 | − | 20.9722i | −1.19695 | − | 1.19695i | −0.975076 | − | 0.221870i | \(-0.928784\pi\) |
−0.221870 | − | 0.975076i | \(-0.571216\pi\) | |||||||
\(308\) | 2.71546 | − | 10.1342i | 0.154727 | − | 0.577451i | ||||
\(309\) | 1.63866 | − | 0.439078i | 0.0932201 | − | 0.0249783i | ||||
\(310\) | −7.15793 | + | 13.2248i | −0.406543 | + | 0.751115i | ||||
\(311\) | −5.00043 | + | 18.6619i | −0.283549 | + | 1.05822i | 0.666345 | + | 0.745644i | \(0.267858\pi\) |
−0.949893 | + | 0.312574i | \(0.898809\pi\) | |||||||
\(312\) | 4.04039 | + | 1.08262i | 0.228742 | + | 0.0612913i | ||||
\(313\) | −15.5593 | − | 26.9495i | −0.879464 | − | 1.52328i | −0.851930 | − | 0.523656i | \(-0.824568\pi\) |
−0.0275348 | − | 0.999621i | \(-0.508766\pi\) | |||||||
\(314\) | 2.49638 | + | 9.31662i | 0.140879 | + | 0.525767i | ||||
\(315\) | 5.74998 | + | 9.35544i | 0.323974 | + | 0.527120i | ||||
\(316\) | −2.29586 | + | 8.56826i | −0.129152 | + | 0.482002i | ||||
\(317\) | −1.67049 | + | 6.23435i | −0.0938240 | + | 0.350156i | −0.996839 | − | 0.0794541i | \(-0.974682\pi\) |
0.903015 | + | 0.429610i | \(0.141349\pi\) | |||||||
\(318\) | −1.24956 | − | 2.16431i | −0.0700721 | − | 0.121368i | ||||
\(319\) | 21.5023 | + | 21.5023i | 1.20390 | + | 1.20390i | ||||
\(320\) | 2.17497 | + | 0.519137i | 0.121585 | + | 0.0290207i | ||||
\(321\) | 1.09508 | − | 0.632248i | 0.0611217 | − | 0.0352886i | ||||
\(322\) | 0.727807 | − | 0.727807i | 0.0405591 | − | 0.0405591i | ||||
\(323\) | 0.427857 | − | 0.427857i | 0.0238066 | − | 0.0238066i | ||||
\(324\) | 0.969450 | + | 1.67914i | 0.0538583 | + | 0.0932854i | ||||
\(325\) | −18.7910 | + | 12.2735i | −1.04234 | + | 0.680810i | ||||
\(326\) | −6.83525 | − | 3.94633i | −0.378569 | − | 0.218567i | ||||
\(327\) | −11.6516 | −0.644335 | ||||||||
\(328\) | 1.14270 | + | 0.659738i | 0.0630950 | + | 0.0364279i | ||||
\(329\) | 13.3650 | + | 7.71630i | 0.736837 | + | 0.425413i | ||||
\(330\) | −4.96875 | − | 8.08435i | −0.273521 | − | 0.445029i | ||||
\(331\) | 4.41198 | + | 1.18219i | 0.242504 | + | 0.0649788i | 0.378024 | − | 0.925796i | \(-0.376604\pi\) |
−0.135520 | + | 0.990775i | \(0.543270\pi\) | |||||||
\(332\) | 1.76876 | + | 1.76876i | 0.0970735 | + | 0.0970735i | ||||
\(333\) | −10.5511 | − | 7.53653i | −0.578199 | − | 0.412999i | ||||
\(334\) | − | 5.11920i | − | 0.280110i | ||||||
\(335\) | −19.7541 | + | 0.543301i | −1.07928 | + | 0.0296837i | ||||
\(336\) | −1.85920 | − | 1.07341i | −0.101428 | − | 0.0585592i | ||||
\(337\) | −19.9039 | + | 5.33324i | −1.08424 | + | 0.290520i | −0.756330 | − | 0.654190i | \(-0.773009\pi\) |
−0.327906 | + | 0.944710i | \(0.606343\pi\) | |||||||
\(338\) | −3.57479 | + | 6.19172i | −0.194443 | + | 0.336785i | ||||
\(339\) | 7.04064 | + | 7.04064i | 0.382395 | + | 0.382395i | ||||
\(340\) | −0.0725983 | + | 0.304157i | −0.00393720 | + | 0.0164952i | ||||
\(341\) | 21.6560 | − | 21.6560i | 1.17274 | − | 1.17274i | ||||
\(342\) | −8.90902 | − | 2.38717i | −0.481745 | − | 0.129083i | ||||
\(343\) | 14.1604 | + | 14.1604i | 0.764587 | + | 0.764587i | ||||
\(344\) | −9.82870 | −0.529928 | ||||||||
\(345\) | −0.0255937 | − | 0.930574i | −0.00137792 | − | 0.0501004i | ||||
\(346\) | −3.40960 | − | 12.7248i | −0.183301 | − | 0.684089i | ||||
\(347\) | 10.4415 | 0.560532 | 0.280266 | − | 0.959922i | \(-0.409577\pi\) | ||||
0.280266 | + | 0.959922i | \(0.409577\pi\) | |||||||
\(348\) | 5.38865 | − | 3.11114i | 0.288862 | − | 0.166774i | ||||
\(349\) | −23.6675 | + | 13.6644i | −1.26689 | + | 0.731441i | −0.974399 | − | 0.224826i | \(-0.927819\pi\) |
−0.292494 | + | 0.956267i | \(0.594485\pi\) | |||||||
\(350\) | 10.9459 | − | 3.58842i | 0.585083 | − | 0.191809i | ||||
\(351\) | 20.7339 | − | 5.55563i | 1.10669 | − | 0.296538i | ||||
\(352\) | −3.94393 | − | 2.27703i | −0.210212 | − | 0.121366i | ||||
\(353\) | 19.5329 | − | 11.2773i | 1.03963 | − | 0.600232i | 0.119903 | − | 0.992786i | \(-0.461742\pi\) |
0.919729 | + | 0.392554i | \(0.128408\pi\) | |||||||
\(354\) | −5.00759 | − | 8.67340i | −0.266150 | − | 0.460986i | ||||
\(355\) | −23.0535 | + | 24.3574i | −1.22355 | + | 1.29276i | ||||
\(356\) | 12.5201 | − | 12.5201i | 0.663563 | − | 0.663563i | ||||
\(357\) | 0.150110 | − | 0.259998i | 0.00794465 | − | 0.0137605i | ||||
\(358\) | 18.5786 | + | 4.97811i | 0.981907 | + | 0.263101i | ||||
\(359\) | − | 15.0721i | − | 0.795473i | −0.917500 | − | 0.397737i | \(-0.869796\pi\) | ||
0.917500 | − | 0.397737i | \(-0.130204\pi\) | |||||||
\(360\) | 4.56845 | − | 1.35978i | 0.240778 | − | 0.0716667i | ||||
\(361\) | −0.241226 | + | 0.139272i | −0.0126961 | + | 0.00733010i | ||||
\(362\) | 11.8049 | 0.620451 | ||||||||
\(363\) | 2.34897 | + | 8.76647i | 0.123289 | + | 0.460120i | ||||
\(364\) | 7.31250 | − | 7.31250i | 0.383279 | − | 0.383279i | ||||
\(365\) | 9.45988 | − | 5.81416i | 0.495153 | − | 0.304327i | ||||
\(366\) | −5.19304 | + | 8.99461i | −0.271444 | + | 0.470156i | ||||
\(367\) | −4.31430 | − | 16.1012i | −0.225204 | − | 0.840474i | −0.982323 | − | 0.187196i | \(-0.940060\pi\) |
0.757118 | − | 0.653278i | \(-0.226607\pi\) | |||||||
\(368\) | −0.223385 | − | 0.386913i | −0.0116447 | − | 0.0201693i | ||||
\(369\) | 2.81266 | 0.146421 | ||||||||
\(370\) | −10.2593 | + | 8.93013i | −0.533355 | + | 0.464255i | ||||
\(371\) | −6.17860 | −0.320777 | ||||||||
\(372\) | −3.13336 | − | 5.42715i | −0.162457 | − | 0.281384i | ||||
\(373\) | 6.94677 | + | 25.9257i | 0.359690 | + | 1.34238i | 0.874478 | + | 0.485065i | \(0.161204\pi\) |
−0.514788 | + | 0.857318i | \(0.672129\pi\) | |||||||
\(374\) | 0.318429 | − | 0.551535i | 0.0164656 | − | 0.0285192i | ||||
\(375\) | 4.44808 | − | 9.42115i | 0.229698 | − | 0.486506i | ||||
\(376\) | 4.73670 | − | 4.73670i | 0.244277 | − | 0.244277i | ||||
\(377\) | 7.75767 | + | 28.9520i | 0.399541 | + | 1.49111i | ||||
\(378\) | −11.0167 | −0.566639 | ||||||||
\(379\) | −30.0369 | + | 17.3418i | −1.54289 | + | 0.890789i | −0.544238 | + | 0.838931i | \(0.683181\pi\) |
−0.998654 | + | 0.0518580i | \(0.983486\pi\) | |||||||
\(380\) | −4.60536 | + | 8.50870i | −0.236250 | + | 0.436487i | ||||
\(381\) | 0.569642i | 0.0291836i | ||||||||
\(382\) | −11.0370 | − | 2.95735i | −0.564700 | − | 0.151311i | ||||
\(383\) | 10.3440 | − | 17.9163i | 0.528551 | − | 0.915478i | −0.470895 | − | 0.882190i | \(-0.656069\pi\) |
0.999446 | − | 0.0332881i | \(-0.0105979\pi\) | |||||||
\(384\) | −0.658919 | + | 0.658919i | −0.0336253 | + | 0.0336253i | ||||
\(385\) | −23.4513 | + | 0.644986i | −1.19519 | + | 0.0328715i | ||||
\(386\) | 3.08886 | + | 5.35006i | 0.157219 | + | 0.272311i | ||||
\(387\) | −18.1444 | + | 10.4757i | −0.922333 | + | 0.532509i | ||||
\(388\) | 10.0779 | + | 5.81850i | 0.511630 | + | 0.295390i | ||||
\(389\) | −21.3476 | + | 5.72008i | −1.08237 | + | 0.290019i | −0.755565 | − | 0.655073i | \(-0.772638\pi\) |
−0.326802 | + | 0.945093i | \(0.605971\pi\) | |||||||
\(390\) | −0.257148 | − | 9.34976i | −0.0130212 | − | 0.473444i | ||||
\(391\) | 0.0541076 | − | 0.0312390i | 0.00273634 | − | 0.00157982i | ||||
\(392\) | 1.46568 | − | 0.846213i | 0.0740282 | − | 0.0427402i | ||||
\(393\) | 2.45189 | 0.123681 | ||||||||
\(394\) | −4.70090 | − | 17.5440i | −0.236828 | − | 0.883854i | ||||
\(395\) | 19.8276 | − | 0.545321i | 0.997633 | − | 0.0274381i | ||||
\(396\) | −9.70767 | −0.487829 | ||||||||
\(397\) | 11.5860 | + | 11.5860i | 0.581486 | + | 0.581486i | 0.935312 | − | 0.353825i | \(-0.115119\pi\) |
−0.353825 | + | 0.935312i | \(0.615119\pi\) | |||||||
\(398\) | −18.6280 | − | 4.99135i | −0.933736 | − | 0.250194i | ||||
\(399\) | 6.56825 | − | 6.56825i | 0.328824 | − | 0.328824i | ||||
\(400\) | −0.274824 | − | 4.99244i | −0.0137412 | − | 0.249622i | ||||
\(401\) | −6.60086 | − | 6.60086i | −0.329631 | − | 0.329631i | 0.522815 | − | 0.852446i | \(-0.324882\pi\) |
−0.852446 | + | 0.522815i | \(0.824882\pi\) | |||||||
\(402\) | 4.11769 | − | 7.13205i | 0.205372 | − | 0.355714i | ||||
\(403\) | 29.1589 | − | 7.81310i | 1.45251 | − | 0.389198i | ||||
\(404\) | −4.75779 | − | 2.74691i | −0.236709 | − | 0.136664i | ||||
\(405\) | 2.98023 | − | 3.14879i | 0.148089 | − | 0.156465i | ||||
\(406\) | − | 15.3833i | − | 0.763462i | ||||||
\(407\) | 25.2146 | − | 11.4709i | 1.24984 | − | 0.568594i | ||||
\(408\) | −0.0921459 | − | 0.0921459i | −0.00456190 | − | 0.00456190i | ||||
\(409\) | 4.67360 | + | 1.25229i | 0.231095 | + | 0.0619216i | 0.372508 | − | 0.928029i | \(-0.378498\pi\) |
−0.141413 | + | 0.989951i | \(0.545165\pi\) | |||||||
\(410\) | 0.684989 | − | 2.86982i | 0.0338292 | − | 0.141730i | ||||
\(411\) | −10.6819 | − | 6.16720i | −0.526900 | − | 0.304206i | ||||
\(412\) | −1.57663 | − | 0.910266i | −0.0776748 | − | 0.0448456i | ||||
\(413\) | −24.7605 | −1.21839 | ||||||||
\(414\) | −0.824765 | − | 0.476178i | −0.0405350 | − | 0.0234029i | ||||
\(415\) | 2.66243 | − | 4.91902i | 0.130694 | − | 0.241465i | ||||
\(416\) | −2.24441 | − | 3.88744i | −0.110041 | − | 0.190597i | ||||
\(417\) | −7.77528 | + | 7.77528i | −0.380757 | + | 0.380757i | ||||
\(418\) | 13.9333 | − | 13.9333i | 0.681499 | − | 0.681499i | ||||
\(419\) | −9.58578 | + | 5.53435i | −0.468296 | + | 0.270371i | −0.715526 | − | 0.698586i | \(-0.753813\pi\) |
0.247230 | + | 0.968957i | \(0.420480\pi\) | |||||||
\(420\) | −1.11449 | + | 4.66926i | −0.0543816 | + | 0.227837i | ||||
\(421\) | −7.37571 | − | 7.37571i | −0.359470 | − | 0.359470i | 0.504147 | − | 0.863618i | \(-0.331807\pi\) |
−0.863618 | + | 0.504147i | \(0.831807\pi\) | |||||||
\(422\) | −4.17288 | − | 7.22764i | −0.203133 | − | 0.351836i | ||||
\(423\) | 3.69576 | − | 13.7928i | 0.179694 | − | 0.670627i | ||||
\(424\) | −0.694126 | + | 2.59051i | −0.0337097 | + | 0.125806i | ||||
\(425\) | 0.698164 | − | 0.0384325i | 0.0338659 | − | 0.00186425i | ||||
\(426\) | −3.61731 | − | 13.5000i | −0.175259 | − | 0.654076i | ||||
\(427\) | 12.8387 | + | 22.2374i | 0.621311 | + | 1.07614i | ||||
\(428\) | −1.31073 | − | 0.351210i | −0.0633567 | − | 0.0169764i | ||||
\(429\) | −4.93031 | + | 18.4002i | −0.238038 | + | 0.888369i | ||||
\(430\) | 6.26972 | + | 21.0644i | 0.302353 | + | 1.01581i | ||||
\(431\) | 22.3528 | − | 5.98942i | 1.07670 | − | 0.288500i | 0.323455 | − | 0.946243i | \(-0.395156\pi\) |
0.753242 | + | 0.657743i | \(0.228489\pi\) | |||||||
\(432\) | −1.23766 | + | 4.61900i | −0.0595468 | + | 0.222232i | ||||
\(433\) | 22.6192 | + | 22.6192i | 1.08701 | + | 1.08701i | 0.995835 | + | 0.0911736i | \(0.0290618\pi\) |
0.0911736 | + | 0.995835i | \(0.470938\pi\) | |||||||
\(434\) | −15.4932 | −0.743699 | ||||||||
\(435\) | −10.1050 | − | 9.56408i | −0.484500 | − | 0.458562i | ||||
\(436\) | 8.84145 | + | 8.84145i | 0.423429 | + | 0.423429i | ||||
\(437\) | 1.86723 | − | 0.500321i | 0.0893215 | − | 0.0239336i | ||||
\(438\) | 4.62735i | 0.221103i | ||||||||
\(439\) | −0.526319 | − | 1.96425i | −0.0251198 | − | 0.0937485i | 0.952228 | − | 0.305388i | \(-0.0987863\pi\) |
−0.977348 | + | 0.211640i | \(0.932120\pi\) | |||||||
\(440\) | −2.36418 | + | 9.90494i | −0.112708 | + | 0.472200i | ||||
\(441\) | 1.80383 | − | 3.12433i | 0.0858968 | − | 0.148778i | ||||
\(442\) | 0.543636 | − | 0.313868i | 0.0258581 | − | 0.0149292i | ||||
\(443\) | −11.9041 | + | 11.9041i | −0.565580 | + | 0.565580i | −0.930887 | − | 0.365307i | \(-0.880964\pi\) |
0.365307 | + | 0.930887i | \(0.380964\pi\) | |||||||
\(444\) | −0.931852 | − | 5.59111i | −0.0442237 | − | 0.265342i | ||||
\(445\) | −34.8189 | − | 18.8458i | −1.65058 | − | 0.893378i | ||||
\(446\) | −1.84873 | + | 6.89955i | −0.0875398 | + | 0.326703i | ||||
\(447\) | −9.37365 | + | 2.51166i | −0.443359 | + | 0.118798i | ||||
\(448\) | 0.596272 | + | 2.22532i | 0.0281712 | + | 0.105136i | ||||
\(449\) | 28.6077 | − | 7.66541i | 1.35008 | − | 0.361753i | 0.489916 | − | 0.871770i | \(-0.337028\pi\) |
0.860164 | + | 0.510017i | \(0.170361\pi\) | |||||||
\(450\) | −5.82842 | − | 8.92346i | −0.274754 | − | 0.420656i | ||||
\(451\) | −3.00448 | + | 5.20392i | −0.141476 | + | 0.245043i | ||||
\(452\) | − | 10.6851i | − | 0.502587i | ||||||
\(453\) | −3.39227 | + | 12.6601i | −0.159383 | + | 0.594824i | ||||
\(454\) | 2.02816i | 0.0951863i | ||||||||
\(455\) | −20.3364 | − | 11.0071i | −0.953386 | − | 0.516023i | ||||
\(456\) | −2.01598 | − | 3.49178i | −0.0944070 | − | 0.163518i | ||||
\(457\) | 28.2244 | + | 16.2953i | 1.32028 | + | 0.762264i | 0.983773 | − | 0.179417i | \(-0.0574210\pi\) |
0.336507 | + | 0.941681i | \(0.390754\pi\) | |||||||
\(458\) | − | 12.7595i | − | 0.596212i | ||||||
\(459\) | −0.645940 | − | 0.173079i | −0.0301499 | − | 0.00807864i | ||||
\(460\) | −0.686716 | + | 0.725558i | −0.0320183 | + | 0.0338293i | ||||
\(461\) | −4.64511 | − | 1.24465i | −0.216344 | − | 0.0579693i | 0.149019 | − | 0.988834i | \(-0.452389\pi\) |
−0.365363 | + | 0.930865i | \(0.619055\pi\) | |||||||
\(462\) | 4.88836 | − | 8.46689i | 0.227427 | − | 0.393915i | ||||
\(463\) | 14.3339 | − | 24.8270i | 0.666152 | − | 1.15381i | −0.312819 | − | 0.949813i | \(-0.601273\pi\) |
0.978971 | − | 0.203997i | \(-0.0653933\pi\) | |||||||
\(464\) | −6.44980 | − | 1.72822i | −0.299424 | − | 0.0802305i | ||||
\(465\) | −9.63241 | + | 10.1772i | −0.446692 | + | 0.471958i | ||||
\(466\) | 28.5882 | + | 7.66019i | 1.32432 | + | 0.354851i | ||||
\(467\) | 28.9463i | 1.33948i | 0.742597 | + | 0.669738i | \(0.233594\pi\) | ||||
−0.742597 | + | 0.669738i | \(0.766406\pi\) | |||||||
\(468\) | −8.28667 | − | 4.78431i | −0.383052 | − | 0.221155i | ||||
\(469\) | −10.1802 | − | 17.6326i | −0.470077 | − | 0.814197i | ||||
\(470\) | −13.1730 | − | 7.12991i | −0.607625 | − | 0.328878i | ||||
\(471\) | 8.98797i | 0.414144i | ||||||||
\(472\) | −2.78169 | + | 10.3814i | −0.128037 | + | 0.477842i | ||||
\(473\) | − | 44.7605i | − | 2.05809i | ||||||
\(474\) | −4.13300 | + | 7.15857i | −0.189835 | + | 0.328804i | ||||
\(475\) | 21.1732 | + | 4.44227i | 0.971491 | + | 0.203825i | ||||
\(476\) | −0.311197 | + | 0.0833851i | −0.0142637 | + | 0.00382195i | ||||
\(477\) | 1.47964 | + | 5.52207i | 0.0677478 | + | 0.252838i | ||||
\(478\) | −28.5030 | + | 7.63736i | −1.30370 | + | 0.349325i | ||||
\(479\) | 6.22958 | − | 23.2491i | 0.284637 | − | 1.06228i | −0.664468 | − | 0.747317i | \(-0.731342\pi\) |
0.949104 | − | 0.314961i | \(-0.101992\pi\) | |||||||
\(480\) | 1.83248 | + | 0.991837i | 0.0836411 | + | 0.0452709i | ||||
\(481\) | 27.1770 | + | 2.63489i | 1.23917 | + | 0.120141i | ||||
\(482\) | −10.0938 | + | 10.0938i | −0.459762 | + | 0.459762i | ||||
\(483\) | 0.830632 | − | 0.479565i | 0.0377951 | − | 0.0218210i | ||||
\(484\) | 4.86972 | − | 8.43460i | 0.221351 | − | 0.383391i | ||||
\(485\) | 6.04120 | − | 25.3101i | 0.274317 | − | 1.14927i | ||||
\(486\) | 4.18060 | + | 15.6022i | 0.189636 | + | 0.707730i | ||||
\(487\) | − | 17.1136i | − | 0.775493i | −0.921766 | − | 0.387747i | \(-0.873254\pi\) | ||
0.921766 | − | 0.387747i | \(-0.126746\pi\) | |||||||
\(488\) | 10.7659 | − | 2.88470i | 0.487347 | − | 0.130584i | ||||
\(489\) | −5.20062 | − | 5.20062i | −0.235180 | − | 0.235180i | ||||
\(490\) | −2.74852 | − | 2.60138i | −0.124165 | − | 0.117518i | ||||
\(491\) | 7.79909 | 0.351968 | 0.175984 | − | 0.984393i | \(-0.443689\pi\) | ||||
0.175984 | + | 0.984393i | \(0.443689\pi\) | |||||||
\(492\) | 0.869427 | + | 0.869427i | 0.0391968 | + | 0.0391968i | ||||
\(493\) | 0.241681 | − | 0.901966i | 0.0108848 | − | 0.0406225i | ||||
\(494\) | 18.7606 | − | 5.02689i | 0.844079 | − | 0.226170i | ||||
\(495\) | 6.19251 | + | 20.8050i | 0.278333 | + | 0.935114i | ||||
\(496\) | −1.74057 | + | 6.49588i | −0.0781537 | + | 0.291674i | ||||
\(497\) | −33.3760 | − | 8.94307i | −1.49712 | − | 0.401151i | ||||
\(498\) | 1.16547 | + | 2.01866i | 0.0522260 | + | 0.0904581i | ||||
\(499\) | −4.13389 | − | 15.4279i | −0.185058 | − | 0.690647i | −0.994618 | − | 0.103610i | \(-0.966961\pi\) |
0.809560 | − | 0.587038i | \(-0.199706\pi\) | |||||||
\(500\) | −10.5242 | + | 3.77366i | −0.470658 | + | 0.168763i | ||||
\(501\) | 1.23465 | − | 4.60779i | 0.0551603 | − | 0.205861i | ||||
\(502\) | 3.49616 | − | 13.0478i | 0.156041 | − | 0.582354i | ||||
\(503\) | −0.643732 | − | 1.11498i | −0.0287026 | − | 0.0497144i | 0.851317 | − | 0.524651i | \(-0.175804\pi\) |
−0.880020 | + | 0.474937i | \(0.842471\pi\) | |||||||
\(504\) | 3.47256 | + | 3.47256i | 0.154680 | + | 0.154680i | ||||
\(505\) | −2.85205 | + | 11.9489i | −0.126914 | + | 0.531719i | ||||
\(506\) | 1.76203 | − | 1.01731i | 0.0783316 | − | 0.0452248i | ||||
\(507\) | −4.71099 | + | 4.71099i | −0.209223 | + | 0.209223i | ||||
\(508\) | 0.432255 | − | 0.432255i | 0.0191782 | − | 0.0191782i | ||||
\(509\) | 3.59355 | + | 6.22421i | 0.159281 | + | 0.275883i | 0.934610 | − | 0.355675i | \(-0.115749\pi\) |
−0.775328 | + | 0.631558i | \(0.782416\pi\) | |||||||
\(510\) | −0.138703 | + | 0.256262i | −0.00614185 | + | 0.0113475i | ||||
\(511\) | 9.90751 | + | 5.72010i | 0.438282 | + | 0.253042i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −17.9186 | − | 10.3453i | −0.791126 | − | 0.456757i | ||||
\(514\) | 19.4835 | + | 11.2488i | 0.859379 | + | 0.496163i | ||||
\(515\) | −0.945106 | + | 3.95960i | −0.0416463 | + | 0.174481i | ||||
\(516\) | −8.84681 | − | 2.37050i | −0.389459 | − | 0.104355i | ||||
\(517\) | 21.5712 | + | 21.5712i | 0.948700 | + | 0.948700i | ||||
\(518\) | −13.1229 | − | 4.91629i | −0.576587 | − | 0.216009i | ||||
\(519\) | − | 12.2759i | − | 0.538853i | ||||||
\(520\) | −6.89965 | + | 7.28991i | −0.302570 | + | 0.319684i | ||||
\(521\) | 33.3470 | + | 19.2529i | 1.46096 | + | 0.843485i | 0.999056 | − | 0.0434452i | \(-0.0138334\pi\) |
0.461903 | + | 0.886930i | \(0.347167\pi\) | |||||||
\(522\) | −13.7487 | + | 3.68396i | −0.601765 | + | 0.161243i | ||||
\(523\) | 3.07870 | − | 5.33247i | 0.134622 | − | 0.233173i | −0.790831 | − | 0.612035i | \(-0.790351\pi\) |
0.925453 | + | 0.378862i | \(0.123685\pi\) | |||||||
\(524\) | −1.86054 | − | 1.86054i | −0.0812780 | − | 0.0812780i | ||||
\(525\) | 10.7179 | − | 0.589996i | 0.467765 | − | 0.0257495i | ||||
\(526\) | −1.16953 | + | 1.16953i | −0.0509938 | + | 0.0509938i | ||||
\(527\) | −0.908410 | − | 0.243408i | −0.0395710 | − | 0.0106030i | ||||
\(528\) | −3.00075 | − | 3.00075i | −0.130591 | − | 0.130591i | ||||
\(529\) | −22.8004 | −0.991322 | ||||||||
\(530\) | 5.99464 | − | 0.164871i | 0.260390 | − | 0.00716156i | ||||
\(531\) | 5.92959 | + | 22.1295i | 0.257322 | + | 0.960340i | ||||
\(532\) | −9.96823 | −0.432177 | ||||||||
\(533\) | −5.12938 | + | 2.96145i | −0.222178 | + | 0.128275i | ||||
\(534\) | 14.2889 | − | 8.24971i | 0.618342 | − | 0.357000i | ||||
\(535\) | 0.0834207 | + | 3.03313i | 0.00360659 | + | 0.131134i | ||||
\(536\) | −8.53652 | + | 2.28735i | −0.368721 | + | 0.0987986i | ||||
\(537\) | 15.5219 | + | 8.96159i | 0.669820 | + | 0.386721i | ||||
\(538\) | −0.223489 | + | 0.129032i | −0.00963530 | + | 0.00556294i | ||||
\(539\) | 3.85370 | + | 6.67481i | 0.165991 | + | 0.287504i | ||||
\(540\) | 10.6887 | − | 0.293973i | 0.459968 | − | 0.0126506i | ||||
\(541\) | −6.46279 | + | 6.46279i | −0.277857 | + | 0.277857i | −0.832253 | − | 0.554396i | \(-0.812949\pi\) |
0.554396 | + | 0.832253i | \(0.312949\pi\) | |||||||
\(542\) | −6.54357 | + | 11.3338i | −0.281070 | + | 0.486828i | ||||
\(543\) | 10.6256 | + | 2.84711i | 0.455987 | + | 0.122181i | ||||
\(544\) | 0.139844i | 0.00599577i | ||||||||
\(545\) | 13.3086 | − | 24.5885i | 0.570077 | − | 1.05326i | ||||
\(546\) | 8.34562 | − | 4.81834i | 0.357159 | − | 0.206206i | ||||
\(547\) | 26.1783 | 1.11930 | 0.559651 | − | 0.828728i | \(-0.310935\pi\) | ||||
0.559651 | + | 0.828728i | \(0.310935\pi\) | |||||||
\(548\) | 3.42584 | + | 12.7854i | 0.146345 | + | 0.546166i | ||||
\(549\) | 16.7999 | − | 16.7999i | 0.717001 | − | 0.717001i | ||||
\(550\) | 22.7359 | − | 1.25156i | 0.969461 | − | 0.0533668i | ||||
\(551\) | 14.4458 | − | 25.0209i | 0.615412 | − | 1.06593i | ||||
\(552\) | −0.107752 | − | 0.402137i | −0.00458624 | − | 0.0171161i | ||||
\(553\) | 10.2180 | + | 17.6981i | 0.434514 | + | 0.752601i | ||||
\(554\) | 13.2782 | 0.564135 | ||||||||
\(555\) | −11.3882 | + | 5.56366i | −0.483400 | + | 0.236164i | ||||
\(556\) | 11.8001 | 0.500434 | ||||||||
\(557\) | −4.33971 | − | 7.51659i | −0.183879 | − | 0.318488i | 0.759319 | − | 0.650719i | \(-0.225532\pi\) |
−0.943198 | + | 0.332230i | \(0.892199\pi\) | |||||||
\(558\) | 3.71028 | + | 13.8470i | 0.157069 | + | 0.586188i | ||||
\(559\) | 22.0597 | − | 38.2085i | 0.933025 | − | 1.61605i | ||||
\(560\) | 4.38882 | − | 2.69743i | 0.185462 | − | 0.113987i | ||||
\(561\) | 0.419638 | − | 0.419638i | 0.0177171 | − | 0.0177171i | ||||
\(562\) | 5.13680 | + | 19.1708i | 0.216683 | + | 0.808671i | ||||
\(563\) | 39.0271 | 1.64479 | 0.822397 | − | 0.568913i | \(-0.192636\pi\) | ||||
0.822397 | + | 0.568913i | \(0.192636\pi\) | |||||||
\(564\) | 5.40590 | − | 3.12110i | 0.227630 | − | 0.131422i | ||||
\(565\) | −22.8998 | + | 6.81604i | −0.963403 | + | 0.286753i | ||||
\(566\) | − | 11.2912i | − | 0.474604i | ||||||
\(567\) | 4.31467 | + | 1.15611i | 0.181199 | + | 0.0485521i | ||||
\(568\) | −7.49915 | + | 12.9889i | −0.314657 | + | 0.545003i | ||||
\(569\) | −15.1885 | + | 15.1885i | −0.636737 | + | 0.636737i | −0.949749 | − | 0.313012i | \(-0.898662\pi\) |
0.313012 | + | 0.949749i | \(0.398662\pi\) | |||||||
\(570\) | −6.19742 | + | 6.54795i | −0.259581 | + | 0.274264i | ||||
\(571\) | 4.82748 | + | 8.36144i | 0.202024 | + | 0.349915i | 0.949180 | − | 0.314733i | \(-0.101915\pi\) |
−0.747157 | + | 0.664648i | \(0.768582\pi\) | |||||||
\(572\) | 17.7036 | − | 10.2212i | 0.740226 | − | 0.427370i | ||||
\(573\) | −9.22111 | − | 5.32381i | −0.385218 | − | 0.222405i | ||||
\(574\) | 2.93625 | − | 0.786766i | 0.122557 | − | 0.0328390i | ||||
\(575\) | 1.99303 | + | 1.00890i | 0.0831153 | + | 0.0420741i | ||||
\(576\) | 1.84607 | − | 1.06583i | 0.0769194 | − | 0.0444094i | ||||
\(577\) | 21.2609 | − | 12.2750i | 0.885102 | − | 0.511014i | 0.0127650 | − | 0.999919i | \(-0.495937\pi\) |
0.872337 | + | 0.488904i | \(0.162603\pi\) | |||||||
\(578\) | 16.9804 | 0.706293 | ||||||||
\(579\) | 1.48995 | + | 5.56056i | 0.0619201 | + | 0.231089i | ||||
\(580\) | 0.410493 | + | 14.9253i | 0.0170448 | + | 0.619739i | ||||
\(581\) | 5.76279 | 0.239081 | ||||||||
\(582\) | 7.66784 | + | 7.66784i | 0.317842 | + | 0.317842i | ||||
\(583\) | −11.7973 | − | 3.16109i | −0.488596 | − | 0.130919i | ||||
\(584\) | 3.51132 | − | 3.51132i | 0.145300 | − | 0.145300i | ||||
\(585\) | −4.96743 | + | 20.8115i | −0.205378 | + | 0.860449i | ||||
\(586\) | −11.4732 | − | 11.4732i | −0.473955 | − | 0.473955i | ||||
\(587\) | 7.85321 | − | 13.6022i | 0.324137 | − | 0.561421i | −0.657201 | − | 0.753716i | \(-0.728260\pi\) |
0.981337 | + | 0.192295i | \(0.0615929\pi\) | |||||||
\(588\) | 1.52335 | − | 0.408181i | 0.0628220 | − | 0.0168331i | ||||
\(589\) | −25.1997 | − | 14.5490i | −1.03833 | − | 0.599482i | ||||
\(590\) | 24.0233 | − | 0.660717i | 0.989024 | − | 0.0272013i | ||||
\(591\) | − | 16.9251i | − | 0.696206i | ||||||
\(592\) | −3.53553 | + | 4.94975i | −0.145310 | + | 0.203433i | ||||
\(593\) | 6.97951 | + | 6.97951i | 0.286614 | + | 0.286614i | 0.835740 | − | 0.549126i | \(-0.185039\pi\) |
−0.549126 | + | 0.835740i | \(0.685039\pi\) | |||||||
\(594\) | −21.0352 | − | 5.63636i | −0.863084 | − | 0.231263i | ||||
\(595\) | 0.377219 | + | 0.613751i | 0.0154645 | + | 0.0251613i | ||||
\(596\) | 9.01881 | + | 5.20701i | 0.369425 | + | 0.213287i | ||||
\(597\) | −15.5632 | − | 8.98542i | −0.636960 | − | 0.367749i | ||||
\(598\) | 2.00547 | 0.0820098 | ||||||||
\(599\) | 10.6986 | + | 6.17684i | 0.437133 | + | 0.252379i | 0.702381 | − | 0.711801i | \(-0.252120\pi\) |
−0.265248 | + | 0.964180i | \(0.585454\pi\) | |||||||
\(600\) | 0.956713 | − | 4.55998i | 0.0390576 | − | 0.186160i | ||||
\(601\) | −4.53978 | − | 7.86313i | −0.185181 | − | 0.320744i | 0.758456 | − | 0.651724i | \(-0.225954\pi\) |
−0.943638 | + | 0.330980i | \(0.892621\pi\) | |||||||
\(602\) | −16.0114 | + | 16.0114i | −0.652576 | + | 0.652576i | ||||
\(603\) | −13.3210 | + | 13.3210i | −0.542475 | + | 0.542475i | ||||
\(604\) | 12.1808 | − | 7.03261i | 0.495632 | − | 0.286153i | ||||
\(605\) | −21.1830 | − | 5.05611i | −0.861211 | − | 0.205560i | ||||
\(606\) | −3.61998 | − | 3.61998i | −0.147052 | − | 0.147052i | ||||
\(607\) | 6.72134 | + | 11.6417i | 0.272811 | + | 0.472522i | 0.969580 | − | 0.244773i | \(-0.0787134\pi\) |
−0.696770 | + | 0.717295i | \(0.745380\pi\) | |||||||
\(608\) | −1.11987 | + | 4.17940i | −0.0454166 | + | 0.169497i | ||||
\(609\) | 3.71017 | − | 13.8465i | 0.150343 | − | 0.561090i | ||||
\(610\) | −13.0499 | − | 21.2327i | −0.528374 | − | 0.859686i | ||||
\(611\) | 7.78252 | + | 29.0448i | 0.314847 | + | 1.17502i | ||||
\(612\) | 0.149050 | + | 0.258161i | 0.00602497 | + | 0.0104356i | ||||
\(613\) | −38.2185 | − | 10.2406i | −1.54363 | − | 0.413614i | −0.616193 | − | 0.787595i | \(-0.711326\pi\) |
−0.927437 | + | 0.373980i | \(0.877993\pi\) | |||||||
\(614\) | −7.67635 | + | 28.6485i | −0.309792 | + | 1.15616i | ||||
\(615\) | 1.30870 | − | 2.41792i | 0.0527720 | − | 0.0974998i | ||||
\(616\) | −10.1342 | + | 2.71546i | −0.408319 | + | 0.109409i | ||||
\(617\) | −7.95284 | + | 29.6804i | −0.320169 | + | 1.19489i | 0.598910 | + | 0.800816i | \(0.295601\pi\) |
−0.919079 | + | 0.394072i | \(0.871066\pi\) | |||||||
\(618\) | −1.19958 | − | 1.19958i | −0.0482543 | − | 0.0482543i | ||||
\(619\) | −29.6379 | −1.19125 | −0.595624 | − | 0.803264i | \(-0.703095\pi\) | ||||
−0.595624 | + | 0.803264i | \(0.703095\pi\) | |||||||
\(620\) | 15.0319 | − | 0.413426i | 0.603697 | − | 0.0166036i | ||||
\(621\) | −1.51068 | − | 1.51068i | −0.0606215 | − | 0.0606215i | ||||
\(622\) | 18.6619 | − | 5.00043i | 0.748273 | − | 0.200499i | ||||
\(623\) | − | 40.7915i | − | 1.63428i | ||||||
\(624\) | −1.08262 | − | 4.04039i | −0.0433395 | − | 0.161745i | ||||
\(625\) | 14.8009 | + | 20.1478i | 0.592037 | + | 0.805911i | ||||
\(626\) | −15.5593 | + | 26.9495i | −0.621875 | + | 1.07712i | ||||
\(627\) | 15.9018 | − | 9.18090i | 0.635056 | − | 0.366650i | ||||
\(628\) | 6.82024 | − | 6.82024i | 0.272157 | − | 0.272157i | ||||
\(629\) | −0.692193 | − | 0.494424i | −0.0275995 | − | 0.0197140i | ||||
\(630\) | 5.22706 | − | 9.65735i | 0.208251 | − | 0.384758i | ||||
\(631\) | −3.07166 | + | 11.4636i | −0.122281 | + | 0.456358i | −0.999728 | − | 0.0233148i | \(-0.992578\pi\) |
0.877447 | + | 0.479673i | \(0.159245\pi\) | |||||||
\(632\) | 8.56826 | − | 2.29586i | 0.340827 | − | 0.0913243i | ||||
\(633\) | −2.01284 | − | 7.51202i | −0.0800031 | − | 0.298576i | ||||
\(634\) | 6.23435 | − | 1.67049i | 0.247598 | − | 0.0663436i | ||||
\(635\) | −1.20212 | − | 0.650651i | −0.0477047 | − | 0.0258203i | ||||
\(636\) | −1.24956 | + | 2.16431i | −0.0495485 | + | 0.0858205i | ||||
\(637\) | 7.59701i | 0.301005i | ||||||||
\(638\) | 7.87040 | − | 29.3727i | 0.311592 | − | 1.16288i | ||||
\(639\) | 31.9712i | 1.26476i | ||||||||
\(640\) | −0.637899 | − | 2.14315i | −0.0252152 | − | 0.0847154i | ||||
\(641\) | −19.2498 | − | 33.3417i | −0.760323 | − | 1.31692i | −0.942684 | − | 0.333687i | \(-0.891707\pi\) |
0.182361 | − | 0.983232i | \(-0.441626\pi\) | |||||||
\(642\) | −1.09508 | − | 0.632248i | −0.0432196 | − | 0.0249528i | ||||
\(643\) | 1.27314i | 0.0502077i | 0.999685 | + | 0.0251038i | \(0.00799164\pi\) | ||||
−0.999685 | + | 0.0251038i | \(0.992008\pi\) | |||||||
\(644\) | −0.994203 | − | 0.266396i | −0.0391771 | − | 0.0104975i | ||||
\(645\) | 0.563049 | + | 20.4722i | 0.0221700 | + | 0.806091i | ||||
\(646\) | −0.584464 | − | 0.156607i | −0.0229954 | − | 0.00616161i | ||||
\(647\) | 16.0230 | − | 27.7527i | 0.629931 | − | 1.09107i | −0.357634 | − | 0.933862i | \(-0.616417\pi\) |
0.987565 | − | 0.157211i | \(-0.0502501\pi\) | |||||||
\(648\) | 0.969450 | − | 1.67914i | 0.0380836 | − | 0.0659627i | ||||
\(649\) | −47.2775 | − | 12.6680i | −1.85580 | − | 0.497261i | ||||
\(650\) | 20.0246 | + | 10.1367i | 0.785431 | + | 0.397596i | ||||
\(651\) | −13.9455 | − | 3.73667i | −0.546565 | − | 0.146452i | ||||
\(652\) | 7.89266i | 0.309101i | ||||||||
\(653\) | −8.28077 | − | 4.78091i | −0.324052 | − | 0.187091i | 0.329145 | − | 0.944279i | \(-0.393239\pi\) |
−0.653197 | + | 0.757188i | \(0.726573\pi\) | |||||||
\(654\) | 5.82580 | + | 10.0906i | 0.227807 | + | 0.394573i | ||||
\(655\) | −2.80057 | + | 5.17425i | −0.109427 | + | 0.202175i | ||||
\(656\) | − | 1.31948i | − | 0.0515169i | ||||||
\(657\) | 2.73967 | − | 10.2246i | 0.106885 | − | 0.398899i | ||||
\(658\) | − | 15.4326i | − | 0.601625i | ||||||
\(659\) | −12.2701 | + | 21.2525i | −0.477976 | + | 0.827879i | −0.999681 | − | 0.0252471i | \(-0.991963\pi\) |
0.521705 | + | 0.853126i | \(0.325296\pi\) | |||||||
\(660\) | −4.51688 | + | 8.34524i | −0.175819 | + | 0.324838i | ||||
\(661\) | −27.2044 | + | 7.28941i | −1.05813 | + | 0.283525i | −0.745607 | − | 0.666385i | \(-0.767841\pi\) |
−0.312522 | + | 0.949910i | \(0.601174\pi\) | |||||||
\(662\) | −1.18219 | − | 4.41198i | −0.0459470 | − | 0.171476i | ||||
\(663\) | 0.565025 | − | 0.151398i | 0.0219438 | − | 0.00587981i | ||||
\(664\) | 0.647412 | − | 2.41618i | 0.0251245 | − | 0.0937658i | ||||
\(665\) | 6.35872 | + | 21.3634i | 0.246581 | + | 0.828437i | ||||
\(666\) | −1.25126 | + | 12.9058i | −0.0484852 | + | 0.500090i | ||||
\(667\) | 2.10946 | − | 2.10946i | 0.0816784 | − | 0.0816784i | ||||
\(668\) | −4.43336 | + | 2.55960i | −0.171532 | + | 0.0990340i | ||||
\(669\) | −3.32808 | + | 5.76440i | −0.128671 | + | 0.222865i | ||||
\(670\) | 10.3476 | + | 16.8359i | 0.399762 | + | 0.650429i | ||||
\(671\) | 13.1371 | + | 49.0283i | 0.507152 | + | 1.89272i | ||||
\(672\) | 2.14682i | 0.0828152i | ||||||||
\(673\) | −15.0748 | + | 4.03927i | −0.581090 | + | 0.155703i | −0.537378 | − | 0.843342i | \(-0.680585\pi\) |
−0.0437121 | + | 0.999044i | \(0.513918\pi\) | |||||||
\(674\) | 14.5707 | + | 14.5707i | 0.561242 | + | 0.561242i | ||||
\(675\) | −7.44834 | − | 22.7199i | −0.286687 | − | 0.874491i | ||||
\(676\) | 7.14959 | 0.274984 | ||||||||
\(677\) | 14.8620 | + | 14.8620i | 0.571191 | + | 0.571191i | 0.932461 | − | 0.361270i | \(-0.117657\pi\) |
−0.361270 | + | 0.932461i | \(0.617657\pi\) | |||||||
\(678\) | 2.57705 | − | 9.61769i | 0.0989711 | − | 0.369365i | ||||
\(679\) | 25.8960 | − | 6.93882i | 0.993798 | − | 0.266287i | ||||
\(680\) | 0.299707 | − | 0.0892064i | 0.0114932 | − | 0.00342091i | ||||
\(681\) | −0.489154 | + | 1.82555i | −0.0187444 | + | 0.0699551i | ||||
\(682\) | −29.5826 | − | 7.92664i | −1.13278 | − | 0.303527i | ||||
\(683\) | 3.48869 | + | 6.04259i | 0.133491 | + | 0.231213i | 0.925020 | − | 0.379918i | \(-0.124048\pi\) |
−0.791529 | + | 0.611132i | \(0.790715\pi\) | |||||||
\(684\) | 2.38717 | + | 8.90902i | 0.0912755 | + | 0.340645i | ||||
\(685\) | 25.2157 | − | 15.4979i | 0.963443 | − | 0.592144i | ||||
\(686\) | 5.18305 | − | 19.3434i | 0.197890 | − | 0.738534i | ||||
\(687\) | 3.07734 | − | 11.4848i | 0.117408 | − | 0.438173i | ||||
\(688\) | 4.91435 | + | 8.51191i | 0.187358 | + | 0.324513i | ||||
\(689\) | −8.51256 | − | 8.51256i | −0.324303 | − | 0.324303i | ||||
\(690\) | −0.793103 | + | 0.487452i | −0.0301929 | + | 0.0185570i | ||||
\(691\) | 4.54164 | − | 2.62212i | 0.172772 | − | 0.0997501i | −0.411120 | − | 0.911581i | \(-0.634862\pi\) |
0.583892 | + | 0.811831i | \(0.301529\pi\) | |||||||
\(692\) | −9.31520 | + | 9.31520i | −0.354111 | + | 0.354111i | ||||
\(693\) | −15.8142 | + | 15.8142i | −0.600733 | + | 0.600733i | ||||
\(694\) | −5.22077 | − | 9.04265i | −0.198178 | − | 0.343254i | ||||
\(695\) | −7.52725 | − | 25.2893i | −0.285525 | − | 0.959277i | ||||
\(696\) | −5.38865 | − | 3.11114i | −0.204256 | − | 0.117927i | ||||
\(697\) | 0.184521 | 0.00698923 | ||||||||
\(698\) | 23.6675 | + | 13.6644i | 0.895829 | + | 0.517207i | ||||
\(699\) | 23.8848 | + | 13.7899i | 0.903404 | + | 0.521581i | ||||
\(700\) | −8.58061 | − | 7.68521i | −0.324317 | − | 0.290474i | ||||
\(701\) | −5.99448 | − | 1.60622i | −0.226408 | − | 0.0606659i | 0.143831 | − | 0.989602i | \(-0.454058\pi\) |
−0.370240 | + | 0.928936i | \(0.620724\pi\) | |||||||
\(702\) | −15.1783 | − | 15.1783i | −0.572867 | − | 0.572867i | ||||
\(703\) | −16.7276 | − | 20.3195i | −0.630895 | − | 0.766363i | ||||
\(704\) | 4.55406i | 0.171638i | ||||||||
\(705\) | −10.1374 | − | 9.59471i | −0.381797 | − | 0.361358i | ||||
\(706\) | −19.5329 | − | 11.2773i | −0.735131 | − | 0.424428i | ||||
\(707\) | −12.2255 | + | 3.27581i | −0.459787 | + | 0.123200i | ||||
\(708\) | −5.00759 | + | 8.67340i | −0.188197 | + | 0.325966i | ||||
\(709\) | 3.56161 | + | 3.56161i | 0.133759 | + | 0.133759i | 0.770816 | − | 0.637057i | \(-0.219849\pi\) |
−0.637057 | + | 0.770816i | \(0.719849\pi\) | |||||||
\(710\) | 32.6209 | + | 7.78618i | 1.22424 | + | 0.292210i | ||||
\(711\) | 13.3706 | − | 13.3706i | 0.501436 | − | 0.501436i | ||||
\(712\) | −17.1027 | − | 4.58267i | −0.640952 | − | 0.171743i | ||||
\(713\) | −2.12453 | − | 2.12453i | −0.0795642 | − | 0.0795642i | ||||
\(714\) | −0.300220 | −0.0112354 | ||||||||
\(715\) | −33.1987 | − | 31.4214i | −1.24156 | − | 1.17509i | ||||
\(716\) | −4.97811 | − | 18.5786i | −0.186041 | − | 0.694313i | ||||
\(717\) | −27.4976 | −1.02691 | ||||||||
\(718\) | −13.0528 | + | 7.53604i | −0.487126 | + | 0.281242i | ||||
\(719\) | −19.5407 | + | 11.2818i | −0.728746 | + | 0.420742i | −0.817963 | − | 0.575271i | \(-0.804897\pi\) |
0.0892174 | + | 0.996012i | \(0.471563\pi\) | |||||||
\(720\) | −3.46183 | − | 3.27650i | −0.129015 | − | 0.122108i | ||||
\(721\) | −4.05126 | + | 1.08553i | −0.150877 | + | 0.0404273i | ||||
\(722\) | 0.241226 | + | 0.139272i | 0.00897750 | + | 0.00518316i | ||||
\(723\) | −11.5199 | + | 6.65102i | −0.428430 | + | 0.247354i | ||||
\(724\) | −5.90244 | − | 10.2233i | −0.219363 | − | 0.379947i | ||||
\(725\) | 31.7253 | − | 10.4006i | 1.17825 | − | 0.386268i | ||||
\(726\) | 6.41750 | − | 6.41750i | 0.238176 | − | 0.238176i | ||||
\(727\) | 20.5695 | − | 35.6275i | 0.762881 | − | 1.32135i | −0.178478 | − | 0.983944i | \(-0.557117\pi\) |
0.941360 | − | 0.337405i | \(-0.109549\pi\) | |||||||
\(728\) | −9.98907 | − | 2.67656i | −0.370219 | − | 0.0992000i | ||||
\(729\) | 9.23511i | 0.342041i | ||||||||
\(730\) | −9.76515 | − | 5.28541i | −0.361425 | − | 0.195622i | ||||
\(731\) | −1.19034 | + | 0.687243i | −0.0440263 | + | 0.0254186i | ||||
\(732\) | 10.3861 | 0.383880 | ||||||||
\(733\) | 7.38064 | + | 27.5449i | 0.272610 | + | 1.01740i | 0.957426 | + | 0.288679i | \(0.0932160\pi\) |
−0.684816 | + | 0.728716i | \(0.740117\pi\) | |||||||
\(734\) | −11.7869 | + | 11.7869i | −0.435061 | + | 0.435061i | ||||
\(735\) | −1.84654 | − | 3.00439i | −0.0681106 | − | 0.110819i | ||||
\(736\) | −0.223385 | + | 0.386913i | −0.00823406 | + | 0.0142618i | ||||
\(737\) | −10.4167 | − | 38.8758i | −0.383706 | − | 1.43201i | ||||
\(738\) | −1.40633 | − | 2.43584i | −0.0517678 | − | 0.0896644i | ||||
\(739\) | 15.4656 | 0.568911 | 0.284456 | − | 0.958689i | \(-0.408187\pi\) | ||||
0.284456 | + | 0.958689i | \(0.408187\pi\) | |||||||
\(740\) | 12.8634 | + | 4.41973i | 0.472866 | + | 0.162473i | ||||
\(741\) | 18.0988 | 0.664876 | ||||||||
\(742\) | 3.08930 | + | 5.35082i | 0.113412 | + | 0.196435i | ||||
\(743\) | −2.80913 | − | 10.4838i | −0.103057 | − | 0.384614i | 0.895060 | − | 0.445945i | \(-0.147132\pi\) |
−0.998118 | + | 0.0613307i | \(0.980466\pi\) | |||||||
\(744\) | −3.13336 | + | 5.42715i | −0.114875 | + | 0.198969i | ||||
\(745\) | 5.40631 | − | 22.6502i | 0.198072 | − | 0.829839i | ||||
\(746\) | 18.9789 | − | 18.9789i | 0.694868 | − | 0.694868i | ||||
\(747\) | −1.38006 | − | 5.15045i | −0.0504937 | − | 0.188445i | ||||
\(748\) | −0.636858 | −0.0232858 | ||||||||
\(749\) | −2.70738 | + | 1.56311i | −0.0989255 | + | 0.0571146i | ||||
\(750\) | −10.3830 | + | 0.858427i | −0.379133 | + | 0.0313453i | ||||
\(751\) | 15.4254i | 0.562881i | 0.959579 | + | 0.281440i | \(0.0908121\pi\) | ||||
−0.959579 | + | 0.281440i | \(0.909188\pi\) | |||||||
\(752\) | −6.47045 | − | 1.73375i | −0.235953 | − | 0.0632234i | ||||
\(753\) | 6.29378 | − | 10.9011i | 0.229358 | − | 0.397260i | ||||
\(754\) | 21.1944 | − | 21.1944i | 0.771853 | − | 0.771853i | ||||
\(755\) | −22.8421 | − | 21.6193i | −0.831309 | − | 0.786805i | ||||
\(756\) | 5.50836 | + | 9.54075i | 0.200337 | + | 0.346994i | ||||
\(757\) | 28.3377 | − | 16.3608i | 1.02995 | − | 0.594642i | 0.112980 | − | 0.993597i | \(-0.463960\pi\) |
0.916970 | + | 0.398955i | \(0.130627\pi\) | |||||||
\(758\) | 30.0369 | + | 17.3418i | 1.09099 | + | 0.629883i | ||||
\(759\) | 1.83135 | − | 0.490710i | 0.0664739 | − | 0.0178116i | ||||
\(760\) | 9.67143 | − | 0.265995i | 0.350820 | − | 0.00964865i | ||||
\(761\) | −6.47522 | + | 3.73847i | −0.234727 | + | 0.135519i | −0.612751 | − | 0.790276i | \(-0.709937\pi\) |
0.378024 | + | 0.925796i | \(0.376604\pi\) | |||||||
\(762\) | 0.493324 | − | 0.284821i | 0.0178712 | − | 0.0103180i | ||||
\(763\) | 28.8063 | 1.04286 | ||||||||
\(764\) | 2.95735 | + | 11.0370i | 0.106993 | + | 0.399303i | ||||
\(765\) | 0.458199 | − | 0.484116i | 0.0165662 | − | 0.0175033i | ||||
\(766\) | −20.6879 | −0.747484 | ||||||||
\(767\) | −34.1138 | − | 34.1138i | −1.23178 | − | 1.23178i | ||||
\(768\) | 0.900100 | + | 0.241181i | 0.0324795 | + | 0.00870287i | ||||
\(769\) | −9.03102 | + | 9.03102i | −0.325667 | + | 0.325667i | −0.850936 | − | 0.525269i | \(-0.823965\pi\) |
0.525269 | + | 0.850936i | \(0.323965\pi\) | |||||||
\(770\) | 12.2842 | + | 19.9869i | 0.442693 | + | 0.720280i | ||||
\(771\) | 14.8241 | + | 14.8241i | 0.533876 | + | 0.533876i | ||||
\(772\) | 3.08886 | − | 5.35006i | 0.111170 | − | 0.192553i | ||||
\(773\) | 32.6817 | − | 8.75704i | 1.17548 | − | 0.314969i | 0.382347 | − | 0.924019i | \(-0.375116\pi\) |
0.793132 | + | 0.609050i | \(0.208449\pi\) | |||||||
\(774\) | 18.1444 | + | 10.4757i | 0.652188 | + | 0.376541i | ||||
\(775\) | −10.4749 | − | 31.9519i | −0.376269 | − | 1.14775i | ||||
\(776\) | − | 11.6370i | − | 0.417744i | ||||||
\(777\) | −10.6262 | − | 7.59014i | −0.381213 | − | 0.272295i | ||||
\(778\) | 15.6275 | + | 15.6275i | 0.560275 | + | 0.560275i | ||||
\(779\) | 5.51461 | + | 1.47764i | 0.197581 | + | 0.0529418i | ||||
\(780\) | −7.96856 | + | 4.89758i | −0.285320 | + | 0.175361i | ||||
\(781\) | −59.1523 | − | 34.1516i | −2.11663 | − | 1.22204i | ||||
\(782\) | −0.0541076 | − | 0.0312390i | −0.00193488 | − | 0.00111710i | ||||
\(783\) | −31.9305 | −1.14110 | ||||||||
\(784\) | −1.46568 | − | 0.846213i | −0.0523459 | − | 0.0302219i | ||||
\(785\) | −18.9674 | − | 10.2662i | −0.676976 | − | 0.366415i | ||||
\(786\) | −1.22594 | − | 2.12340i | −0.0437280 | − | 0.0757390i | ||||
\(787\) | 25.2422 | − | 25.2422i | 0.899786 | − | 0.899786i | −0.0956306 | − | 0.995417i | \(-0.530487\pi\) |
0.995417 | + | 0.0956306i | \(0.0304868\pi\) | |||||||
\(788\) | −12.8431 | + | 12.8431i | −0.457517 | + | 0.457517i | ||||
\(789\) | −1.33476 | + | 0.770623i | −0.0475187 | + | 0.0274349i | ||||
\(790\) | −10.3860 | − | 16.8985i | −0.369519 | − | 0.601222i | ||||
\(791\) | −17.4066 | − | 17.4066i | −0.618906 | − | 0.618906i | ||||
\(792\) | 4.85383 | + | 8.40709i | 0.172473 | + | 0.298733i | ||||
\(793\) | −12.9489 | + | 48.3261i | −0.459830 | + | 1.71611i | ||||
\(794\) | 4.24078 | − | 15.8268i | 0.150500 | − | 0.561673i | ||||
\(795\) | 5.43553 | + | 1.29739i | 0.192779 | + | 0.0460137i | ||||
\(796\) | 4.99135 | + | 18.6280i | 0.176914 | + | 0.660251i | ||||
\(797\) | 10.7218 | + | 18.5707i | 0.379786 | + | 0.657808i | 0.991031 | − | 0.133633i | \(-0.0426644\pi\) |
−0.611245 | + | 0.791441i | \(0.709331\pi\) | |||||||
\(798\) | −8.97240 | − | 2.40415i | −0.317619 | − | 0.0851058i | ||||
\(799\) | 0.242455 | − | 0.904855i | 0.00857744 | − | 0.0320115i | ||||
\(800\) | −4.18617 | + | 2.73423i | −0.148003 | + | 0.0966695i | ||||
\(801\) | −36.4571 | + | 9.76865i | −1.28815 | + | 0.345158i | ||||
\(802\) | −2.41608 | + | 9.01695i | −0.0853149 | + | 0.318400i | ||||
\(803\) | 15.9908 | + | 15.9908i | 0.564302 | + | 0.564302i | ||||
\(804\) | −8.23538 | −0.290440 | ||||||||
\(805\) | 0.0632754 | + | 2.30066i | 0.00223016 | + | 0.0810875i | ||||
\(806\) | −21.3458 | − | 21.3458i | −0.751873 | − | 0.751873i | ||||
\(807\) | −0.232282 | + | 0.0622399i | −0.00817673 | + | 0.00219095i | ||||
\(808\) | 5.49382i | 0.193272i | ||||||||
\(809\) | 6.69871 | + | 24.9999i | 0.235514 | + | 0.878950i | 0.977916 | + | 0.208996i | \(0.0670196\pi\) |
−0.742402 | + | 0.669954i | \(0.766314\pi\) | |||||||
\(810\) | −4.21705 | − | 1.00656i | −0.148172 | − | 0.0353667i | ||||
\(811\) | −18.6250 | + | 32.2594i | −0.654011 | + | 1.13278i | 0.328130 | + | 0.944632i | \(0.393582\pi\) |
−0.982141 | + | 0.188147i | \(0.939752\pi\) | |||||||
\(812\) | −13.3224 | + | 7.69166i | −0.467523 | + | 0.269924i | ||||
\(813\) | −8.62336 | + | 8.62336i | −0.302435 | + | 0.302435i | ||||
\(814\) | −22.5414 | − | 16.1010i | −0.790077 | − | 0.564341i | ||||
\(815\) | 16.9151 | − | 5.03472i | 0.592512 | − | 0.176359i | ||||
\(816\) | −0.0337277 | + | 0.125874i | −0.00118071 | + | 0.00440646i | ||||
\(817\) | −41.0780 | + | 11.0068i | −1.43714 | + | 0.385080i | ||||
\(818\) | −1.25229 | − | 4.67360i | −0.0437852 | − | 0.163409i | ||||
\(819\) | −21.2932 | + | 5.70550i | −0.744045 | + | 0.199366i | ||||
\(820\) | −2.82783 | + | 0.841692i | −0.0987521 | + | 0.0293932i | ||||
\(821\) | −8.69598 | + | 15.0619i | −0.303492 | + | 0.525663i | −0.976924 | − | 0.213585i | \(-0.931486\pi\) |
0.673433 | + | 0.739249i | \(0.264819\pi\) | |||||||
\(822\) | 12.3344i | 0.430212i | ||||||||
\(823\) | −11.5743 | + | 43.1960i | −0.403456 | + | 1.50572i | 0.403429 | + | 0.915011i | \(0.367818\pi\) |
−0.806885 | + | 0.590708i | \(0.798848\pi\) | |||||||
\(824\) | 1.82053i | 0.0634212i | ||||||||
\(825\) | 20.7664 | + | 4.35693i | 0.722993 | + | 0.151689i | ||||
\(826\) | 12.3803 | + | 21.4432i | 0.430765 | + | 0.746106i | ||||
\(827\) | 1.01853 | + | 0.588047i | 0.0354176 | + | 0.0204484i | 0.517604 | − | 0.855620i | \(-0.326824\pi\) |
−0.482187 | + | 0.876069i | \(0.660157\pi\) | |||||||
\(828\) | 0.952356i | 0.0330967i | ||||||||
\(829\) | 36.4350 | + | 9.76273i | 1.26544 | + | 0.339074i | 0.828282 | − | 0.560311i | \(-0.189318\pi\) |
0.437158 | + | 0.899385i | \(0.355985\pi\) | |||||||
\(830\) | −5.59121 | + | 0.153776i | −0.194074 | + | 0.00533764i | ||||
\(831\) | 11.9517 | + | 3.20244i | 0.414599 | + | 0.111091i | ||||
\(832\) | −2.24441 | + | 3.88744i | −0.0778111 | + | 0.134773i | ||||
\(833\) | 0.118338 | − | 0.204967i | 0.00410017 | − | 0.00710170i | ||||
\(834\) | 10.6212 | + | 2.84595i | 0.367783 | + | 0.0985472i | ||||
\(835\) | 8.31364 | + | 7.86858i | 0.287705 | + | 0.272303i | ||||
\(836\) | −19.0332 | − | 5.09993i | −0.658277 | − | 0.176385i | ||||
\(837\) | 32.1587i | 1.11157i | ||||||||
\(838\) | 9.58578 | + | 5.53435i | 0.331135 | + | 0.191181i | ||||
\(839\) | 19.8587 | + | 34.3962i | 0.685597 | + | 1.18749i | 0.973249 | + | 0.229754i | \(0.0737923\pi\) |
−0.287651 | + | 0.957735i | \(0.592874\pi\) | |||||||
\(840\) | 4.60094 | − | 1.36945i | 0.158748 | − | 0.0472506i | ||||
\(841\) | − | 15.5866i | − | 0.537469i | ||||||
\(842\) | −2.69970 | + | 10.0754i | −0.0930377 | + | 0.347221i | ||||
\(843\) | 18.4945i | 0.636985i | ||||||||
\(844\) | −4.17288 | + | 7.22764i | −0.143636 | + | 0.248786i | ||||
\(845\) | −4.56071 | − | 15.3226i | −0.156893 | − | 0.527114i | ||||
\(846\) | −13.7928 | + | 3.69576i | −0.474205 | + | 0.127063i | ||||
\(847\) | −5.80735 | − | 21.6733i | −0.199543 | − | 0.744705i | ||||
\(848\) | 2.59051 | − | 0.694126i | 0.0889586 | − | 0.0238364i | ||||
\(849\) | 2.72322 | − | 10.1632i | 0.0934607 | − | 0.348800i | ||||
\(850\) | −0.382365 | − | 0.585411i | −0.0131150 | − | 0.0200794i | ||||
\(851\) | −1.12534 | − | 2.47364i | −0.0385762 | − | 0.0847954i | ||||
\(852\) | −9.88266 | + | 9.88266i | −0.338574 | + | 0.338574i | ||||
\(853\) | −46.2072 | + | 26.6777i | −1.58210 | + | 0.913428i | −0.587553 | + | 0.809186i | \(0.699908\pi\) |
−0.994552 | + | 0.104243i | \(0.966758\pi\) | |||||||
\(854\) | 12.8387 | − | 22.2374i | 0.439333 | − | 0.760947i | ||||
\(855\) | 17.5706 | − | 10.7991i | 0.600901 | − | 0.369322i | ||||
\(856\) | 0.351210 | + | 1.31073i | 0.0120041 | + | 0.0447999i | ||||
\(857\) | − | 5.54491i | − | 0.189411i | −0.995505 | − | 0.0947053i | \(-0.969809\pi\) | ||
0.995505 | − | 0.0947053i | \(-0.0301909\pi\) | |||||||
\(858\) | 18.4002 | − | 4.93031i | 0.628172 | − | 0.168318i | ||||
\(859\) | 10.4202 | + | 10.4202i | 0.355533 | + | 0.355533i | 0.862164 | − | 0.506630i | \(-0.169109\pi\) |
−0.506630 | + | 0.862164i | \(0.669109\pi\) | |||||||
\(860\) | 15.1074 | − | 15.9619i | 0.515159 | − | 0.544297i | ||||
\(861\) | 2.83267 | 0.0965371 | ||||||||
\(862\) | −16.3634 | − | 16.3634i | −0.557340 | − | 0.557340i | ||||
\(863\) | −6.61890 | + | 24.7021i | −0.225310 | + | 0.840869i | 0.756970 | + | 0.653450i | \(0.226679\pi\) |
−0.982280 | + | 0.187419i | \(0.939988\pi\) | |||||||
\(864\) | 4.61900 | − | 1.23766i | 0.157142 | − | 0.0421059i | ||||
\(865\) | 25.9060 | + | 14.0217i | 0.880830 | + | 0.476752i | ||||
\(866\) | 8.27920 | − | 30.8984i | 0.281339 | − | 1.04997i | ||||
\(867\) | 15.2841 | + | 4.09536i | 0.519075 | + | 0.139086i | ||||
\(868\) | 7.74662 | + | 13.4175i | 0.262937 | + | 0.455421i | ||||
\(869\) | 10.4555 | + | 39.0203i | 0.354677 | + | 1.32367i | ||||
\(870\) | −3.23021 | + | 13.5333i | −0.109514 | + | 0.458820i | ||||
\(871\) | 10.2675 | − | 38.3190i | 0.347902 | − | 1.29839i | ||||
\(872\) | 3.23620 | − | 12.0777i | 0.109591 | − | 0.409001i | ||||
\(873\) | −12.4030 | − | 21.4827i | −0.419779 | − | 0.727078i | ||||
\(874\) | −1.36690 | − | 1.36690i | −0.0462362 | − | 0.0462362i | ||||
\(875\) | −10.9970 | + | 23.2919i | −0.371766 | + | 0.787410i | ||||
\(876\) | 4.00740 | − | 2.31368i | 0.135398 | − | 0.0781719i | ||||
\(877\) | −13.0374 | + | 13.0374i | −0.440243 | + | 0.440243i | −0.892094 | − | 0.451851i | \(-0.850764\pi\) |
0.451851 | + | 0.892094i | \(0.350764\pi\) | |||||||
\(878\) | −1.43793 | + | 1.43793i | −0.0485278 | + | 0.0485278i | ||||
\(879\) | −7.55993 | − | 13.0942i | −0.254990 | − | 0.441656i | ||||
\(880\) | 9.76002 | − | 2.90503i | 0.329010 | − | 0.0979285i | ||||
\(881\) | 5.09343 | + | 2.94070i | 0.171602 | + | 0.0990746i | 0.583341 | − | 0.812227i | \(-0.301745\pi\) |
−0.411739 | + | 0.911302i | \(0.635078\pi\) | |||||||
\(882\) | −3.60766 | −0.121476 | ||||||||
\(883\) | 19.4574 | + | 11.2337i | 0.654792 | + | 0.378044i | 0.790290 | − | 0.612733i | \(-0.209930\pi\) |
−0.135498 | + | 0.990778i | \(0.543263\pi\) | |||||||
\(884\) | −0.543636 | − | 0.313868i | −0.0182844 | − | 0.0105565i | ||||
\(885\) | 21.7827 | + | 5.19925i | 0.732218 | + | 0.174771i | ||||
\(886\) | 16.2613 | + | 4.35719i | 0.546308 | + | 0.146383i | ||||
\(887\) | −22.0204 | − | 22.0204i | −0.739371 | − | 0.739371i | 0.233085 | − | 0.972456i | \(-0.425118\pi\) |
−0.972456 | + | 0.233085i | \(0.925118\pi\) | |||||||
\(888\) | −4.37612 | + | 3.60256i | −0.146853 | + | 0.120894i | ||||
\(889\) | − | 1.40833i | − | 0.0472337i | ||||||
\(890\) | 1.08849 | + | 39.5770i | 0.0364864 | + | 1.32662i | ||||
\(891\) | 7.64688 | + | 4.41493i | 0.256180 | + | 0.147906i | ||||
\(892\) | 6.89955 | − | 1.84873i | 0.231014 | − | 0.0619000i | ||||
\(893\) | 14.4921 | − | 25.1010i | 0.484959 | − | 0.839973i | ||||
\(894\) | 6.86199 | + | 6.86199i | 0.229499 | + | 0.229499i | ||||
\(895\) | −36.6411 | + | 22.5201i | −1.22478 | + | 0.752763i | ||||
\(896\) | 1.62904 | − | 1.62904i | 0.0544226 | − | 0.0544226i | ||||
\(897\) | 1.80512 | + | 0.483681i | 0.0602713 | + | 0.0161496i | ||||
\(898\) | −20.9423 | − | 20.9423i | −0.698853 | − | 0.698853i | ||||
\(899\) | −44.9052 | −1.49767 | ||||||||
\(900\) | −4.81373 | + | 9.50929i | −0.160458 | + | 0.316976i | ||||
\(901\) | 0.0970694 | + | 0.362268i | 0.00323385 | + | 0.0120689i | ||||
\(902\) | 6.00897 | 0.200077 | ||||||||
\(903\) | −18.2735 | + | 10.5502i | −0.608104 | + | 0.351089i | ||||
\(904\) | −9.25360 | + | 5.34257i | −0.307770 | + | 0.177691i | ||||
\(905\) | −18.1449 | + | 19.1713i | −0.603158 | + | 0.637274i | ||||
\(906\) | 12.6601 | − | 3.39227i | 0.420604 | − | 0.112700i | ||||
\(907\) | −45.1368 | − | 26.0597i | −1.49874 | − | 0.865299i | −0.498743 | − | 0.866750i | \(-0.666205\pi\) |
−0.999999 | + | 0.00145037i | \(0.999538\pi\) | |||||||
\(908\) | 1.75644 | − | 1.01408i | 0.0582895 | − | 0.0336534i | ||||
\(909\) | 5.85546 | + | 10.1419i | 0.194213 | + | 0.336387i | ||||
\(910\) | 0.635747 | + | 23.1154i | 0.0210748 | + | 0.766269i | ||||
\(911\) | −37.7929 | + | 37.7929i | −1.25213 | + | 1.25213i | −0.297372 | + | 0.954762i | \(0.596110\pi\) |
−0.954762 | + | 0.297372i | \(0.903890\pi\) | |||||||
\(912\) | −2.01598 | + | 3.49178i | −0.0667558 | + | 0.115624i | ||||
\(913\) | 11.0034 | + | 2.94835i | 0.364160 | + | 0.0975762i | ||||
\(914\) | − | 32.5907i | − | 1.07800i | ||||||
\(915\) | −6.62527 | − | 22.2589i | −0.219025 | − | 0.735857i | ||||
\(916\) | −11.0500 | + | 6.37974i | −0.365104 | + | 0.210793i | ||||
\(917\) | −6.06180 | −0.200178 | ||||||||
\(918\) | 0.173079 | + | 0.645940i | 0.00571246 | + | 0.0213192i | ||||
\(919\) | −20.1145 | + | 20.1145i | −0.663517 | + | 0.663517i | −0.956207 | − | 0.292690i | \(-0.905450\pi\) |
0.292690 | + | 0.956207i | \(0.405450\pi\) | |||||||
\(920\) | 0.971710 | + | 0.231934i | 0.0320363 | + | 0.00764665i | ||||
\(921\) | −13.8190 | + | 23.9352i | −0.455350 | + | 0.788690i | ||||
\(922\) | 1.24465 | + | 4.64511i | 0.0409905 | + | 0.152979i | ||||
\(923\) | −33.6624 | − | 58.3050i | −1.10801 | − | 1.91913i | ||||
\(924\) | −9.77672 | −0.321631 | ||||||||
\(925\) | 1.26662 | − | 30.3874i | 0.0416462 | − | 0.999132i | ||||
\(926\) | −28.6678 | −0.942082 | ||||||||
\(927\) | 1.94037 | + | 3.36082i | 0.0637301 | + | 0.110384i | ||||
\(928\) | 1.72822 | + | 6.44980i | 0.0567315 | + | 0.211725i | ||||
\(929\) | 25.4766 | − | 44.1268i | 0.835861 | − | 1.44775i | −0.0574667 | − | 0.998347i | \(-0.518302\pi\) |
0.893328 | − | 0.449406i | \(-0.148364\pi\) | |||||||
\(930\) | 13.6300 | + | 3.25329i | 0.446944 | + | 0.106680i | ||||
\(931\) | 5.17803 | − | 5.17803i | 0.169703 | − | 0.169703i | ||||
\(932\) | −7.66019 | − | 28.5882i | −0.250918 | − | 0.936438i | ||||
\(933\) | 18.0035 | 0.589410 | ||||||||
\(934\) | 25.0683 | − | 14.4732i | 0.820258 | − | 0.473576i | ||||
\(935\) | 0.406251 | + | 1.36488i | 0.0132858 | + | 0.0446364i | ||||
\(936\) | 9.56862i | 0.312760i | ||||||||
\(937\) | 25.6705 | + | 6.87839i | 0.838619 | + | 0.224707i | 0.652470 | − | 0.757814i | \(-0.273733\pi\) |
0.186148 | + | 0.982522i | \(0.440399\pi\) | |||||||
\(938\) | −10.1802 | + | 17.6326i | −0.332394 | + | 0.575724i | ||||
\(939\) | −20.5046 | + | 20.5046i | −0.669144 | + | 0.669144i | ||||
\(940\) | 0.411808 | + | 14.9731i | 0.0134317 | + | 0.488369i | ||||
\(941\) | 0.645951 | + | 1.11882i | 0.0210574 | + | 0.0364725i | 0.876362 | − | 0.481653i | \(-0.159963\pi\) |
−0.855305 | + | 0.518125i | \(0.826630\pi\) | |||||||
\(942\) | 7.78381 | − | 4.49398i | 0.253610 | − | 0.146422i | ||||
\(943\) | 0.510523 | + | 0.294750i | 0.0166249 | + | 0.00959839i | ||||
\(944\) | 10.3814 | − | 2.78169i | 0.337886 | − | 0.0905362i | ||||
\(945\) | 16.9335 | − | 17.8913i | 0.550846 | − | 0.582003i | ||||
\(946\) | −38.7637 | + | 22.3802i | −1.26032 | + | 0.727644i | ||||
\(947\) | −36.8052 | + | 21.2495i | −1.19601 | + | 0.690515i | −0.959663 | − | 0.281154i | \(-0.909283\pi\) |
−0.236345 | + | 0.971669i | \(0.575949\pi\) | |||||||
\(948\) | 8.26600 | 0.268467 | ||||||||
\(949\) | 5.76919 | + | 21.5309i | 0.187276 | + | 0.698923i | ||||
\(950\) | −6.73946 | − | 20.5576i | −0.218657 | − | 0.666978i | ||||
\(951\) | 6.01442 | 0.195031 | ||||||||
\(952\) | 0.227812 | + | 0.227812i | 0.00738344 | + | 0.00738344i | ||||
\(953\) | −10.6388 | − | 2.85066i | −0.344625 | − | 0.0923420i | 0.0823549 | − | 0.996603i | \(-0.473756\pi\) |
−0.426980 | + | 0.904261i | \(0.640423\pi\) | |||||||
\(954\) | 4.04244 | − | 4.04244i | 0.130879 | − | 0.130879i | ||||
\(955\) | 21.7674 | − | 13.3785i | 0.704375 | − | 0.432918i | ||||
\(956\) | 20.8657 | + | 20.8657i | 0.674844 | + | 0.674844i | ||||
\(957\) | 14.1683 | − | 24.5402i | 0.457996 | − | 0.793272i | ||||
\(958\) | −23.2491 | + | 6.22958i | −0.751144 | + | 0.201268i | ||||
\(959\) | 26.4089 | + | 15.2472i | 0.852787 | + | 0.492357i | ||||
\(960\) | −0.0572862 | − | 2.08290i | −0.00184890 | − | 0.0672252i | ||||
\(961\) | 14.2260i | 0.458903i | ||||||||
\(962\) | −11.3066 | − | 24.8535i | −0.364541 | − | 0.801308i | ||||
\(963\) | 2.04537 | + | 2.04537i | 0.0659111 | + | 0.0659111i | ||||
\(964\) | 13.7884 | + | 3.69460i | 0.444096 | + | 0.118995i | ||||
\(965\) | −13.4363 | − | 3.20708i | −0.432531 | − | 0.103240i | ||||
\(966\) | −0.830632 | − | 0.479565i | −0.0267251 | − | 0.0154298i | ||||
\(967\) | −12.6656 | − | 7.31250i | −0.407299 | − | 0.235154i | 0.282330 | − | 0.959317i | \(-0.408893\pi\) |
−0.689628 | + | 0.724163i | \(0.742226\pi\) | |||||||
\(968\) | −9.73944 | −0.313038 | ||||||||
\(969\) | −0.488305 | − | 0.281923i | −0.0156866 | − | 0.00905668i | ||||
\(970\) | −24.9398 | + | 7.42323i | −0.800769 | + | 0.238346i | ||||
\(971\) | 29.1802 | + | 50.5417i | 0.936439 | + | 1.62196i | 0.772048 | + | 0.635564i | \(0.219232\pi\) |
0.164391 | + | 0.986395i | \(0.447434\pi\) | |||||||
\(972\) | 11.4216 | − | 11.4216i | 0.366348 | − | 0.366348i | ||||
\(973\) | 19.2228 | − | 19.2228i | 0.616256 | − | 0.616256i | ||||
\(974\) | −14.8208 | + | 8.55682i | −0.474891 | + | 0.274178i | ||||
\(975\) | 15.5794 | + | 13.9536i | 0.498939 | + | 0.446874i | ||||
\(976\) | −7.88115 | − | 7.88115i | −0.252270 | − | 0.252270i | ||||
\(977\) | −6.41203 | − | 11.1060i | −0.205139 | − | 0.355311i | 0.745038 | − | 0.667022i | \(-0.232431\pi\) |
−0.950177 | + | 0.311711i | \(0.899098\pi\) | |||||||
\(978\) | −1.90356 | + | 7.10418i | −0.0608691 | + | 0.227167i | ||||
\(979\) | 20.8697 | − | 77.8869i | 0.666999 | − | 2.48928i | ||||
\(980\) | −0.878601 | + | 3.68098i | −0.0280659 | + | 0.117584i | ||||
\(981\) | −6.89845 | − | 25.7454i | −0.220250 | − | 0.821986i | ||||
\(982\) | −3.89954 | − | 6.75421i | −0.124439 | − | 0.215535i | ||||
\(983\) | 20.1199 | + | 5.39110i | 0.641724 | + | 0.171950i | 0.564984 | − | 0.825102i | \(-0.308882\pi\) |
0.0767400 | + | 0.997051i | \(0.475549\pi\) | |||||||
\(984\) | 0.318232 | − | 1.18766i | 0.0101449 | − | 0.0378612i | ||||
\(985\) | 35.7173 | + | 19.3321i | 1.13805 | + | 0.615971i | ||||
\(986\) | −0.901966 | + | 0.241681i | −0.0287245 | + | 0.00769669i | ||||
\(987\) | 3.72205 | − | 13.8909i | 0.118474 | − | 0.442151i | ||||
\(988\) | −13.7337 | − | 13.7337i | −0.436928 | − | 0.436928i | ||||
\(989\) | −4.39116 | −0.139631 | ||||||||
\(990\) | 14.9214 | − | 15.7654i | 0.474233 | − | 0.501056i | ||||
\(991\) | 23.8799 | + | 23.8799i | 0.758570 | + | 0.758570i | 0.976062 | − | 0.217492i | \(-0.0697877\pi\) |
−0.217492 | + | 0.976062i | \(0.569788\pi\) | |||||||
\(992\) | 6.49588 | − | 1.74057i | 0.206244 | − | 0.0552630i | ||||
\(993\) | − | 4.25634i | − | 0.135071i | ||||||
\(994\) | 8.94307 | + | 33.3760i | 0.283657 | + | 1.05862i | ||||
\(995\) | 36.7385 | − | 22.5800i | 1.16469 | − | 0.715833i | ||||
\(996\) | 1.16547 | − | 2.01866i | 0.0369294 | − | 0.0639635i | ||||
\(997\) | 49.0009 | − | 28.2907i | 1.55187 | − | 0.895975i | 0.553885 | − | 0.832593i | \(-0.313145\pi\) |
0.997989 | − | 0.0633820i | \(-0.0201887\pi\) | |||||||
\(998\) | −11.2940 | + | 11.2940i | −0.357505 | + | 0.357505i | ||||
\(999\) | −10.2045 | + | 27.2387i | −0.322857 | + | 0.861793i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 370.2.q.e.103.4 | yes | 16 | |
5.2 | odd | 4 | 370.2.r.e.177.3 | yes | 16 | ||
37.23 | odd | 12 | 370.2.r.e.23.3 | yes | 16 | ||
185.97 | even | 12 | inner | 370.2.q.e.97.4 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.e.97.4 | ✓ | 16 | 185.97 | even | 12 | inner | |
370.2.q.e.103.4 | yes | 16 | 1.1 | even | 1 | trivial | |
370.2.r.e.23.3 | yes | 16 | 37.23 | odd | 12 | ||
370.2.r.e.177.3 | yes | 16 | 5.2 | odd | 4 |