Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(196,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.196");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.i (of order \(3\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 20 x^{14} - 44 x^{13} + 96 x^{12} - 107 x^{11} + 178 x^{10} - 19 x^{9} + 231 x^{8} + \cdots + 268 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 196.2 | ||
Root | \(-0.628312 + 0.590424i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.196 |
Dual form | 585.2.i.e.391.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12831 | + | 1.95429i | −0.797837 | + | 1.38189i | 0.123185 | + | 0.992384i | \(0.460689\pi\) |
−0.921022 | + | 0.389510i | \(0.872644\pi\) | |||||||
\(3\) | −0.604199 | − | 1.62325i | −0.348835 | − | 0.937184i | ||||
\(4\) | −1.54617 | − | 2.67805i | −0.773087 | − | 1.33903i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 3.85403 | + | 0.650751i | 1.57340 | + | 0.265668i | ||||
\(7\) | −0.353285 | + | 0.611908i | −0.133529 | + | 0.231280i | −0.925035 | − | 0.379883i | \(-0.875964\pi\) |
0.791505 | + | 0.611162i | \(0.209298\pi\) | |||||||
\(8\) | 2.46502 | 0.871517 | ||||||||
\(9\) | −2.26989 | + | 1.96153i | −0.756629 | + | 0.653845i | ||||
\(10\) | −2.25662 | −0.713607 | ||||||||
\(11\) | 1.16510 | − | 2.01802i | 0.351292 | − | 0.608456i | −0.635184 | − | 0.772361i | \(-0.719076\pi\) |
0.986476 | + | 0.163905i | \(0.0524090\pi\) | |||||||
\(12\) | −3.41295 | + | 4.12791i | −0.985235 | + | 1.19162i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | ||||
\(14\) | −0.797232 | − | 1.38085i | −0.213069 | − | 0.369047i | ||||
\(15\) | 1.10368 | − | 1.33488i | 0.284968 | − | 0.344664i | ||||
\(16\) | 0.311036 | − | 0.538731i | 0.0777591 | − | 0.134683i | ||||
\(17\) | 6.04736 | 1.46670 | 0.733351 | − | 0.679851i | \(-0.237955\pi\) | ||||
0.733351 | + | 0.679851i | \(0.237955\pi\) | |||||||
\(18\) | −1.27227 | − | 6.64925i | −0.299877 | − | 1.56724i | ||||
\(19\) | −7.91884 | −1.81671 | −0.908353 | − | 0.418204i | \(-0.862660\pi\) | ||||
−0.908353 | + | 0.418204i | \(0.862660\pi\) | |||||||
\(20\) | 1.54617 | − | 2.67805i | 0.345735 | − | 0.598831i | ||||
\(21\) | 1.20674 | + | 0.203756i | 0.263331 | + | 0.0444633i | ||||
\(22\) | 2.62920 | + | 4.55391i | 0.560548 | + | 0.970898i | ||||
\(23\) | 4.47799 | + | 7.75611i | 0.933726 | + | 1.61726i | 0.776890 | + | 0.629637i | \(0.216796\pi\) |
0.156837 | + | 0.987625i | \(0.449870\pi\) | |||||||
\(24\) | −1.48936 | − | 4.00135i | −0.304015 | − | 0.816772i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.25662 | −0.442560 | ||||||||
\(27\) | 4.55552 | + | 2.49944i | 0.876711 | + | 0.481017i | ||||
\(28\) | 2.18496 | 0.412919 | ||||||||
\(29\) | 1.20340 | − | 2.08435i | 0.223465 | − | 0.387054i | −0.732392 | − | 0.680883i | \(-0.761596\pi\) |
0.955858 | + | 0.293829i | \(0.0949297\pi\) | |||||||
\(30\) | 1.36345 | + | 3.66307i | 0.248931 | + | 0.668781i | ||||
\(31\) | 1.53216 | + | 2.65378i | 0.275184 | + | 0.476632i | 0.970181 | − | 0.242380i | \(-0.0779280\pi\) |
−0.694998 | + | 0.719012i | \(0.744595\pi\) | |||||||
\(32\) | 3.16691 | + | 5.48526i | 0.559837 | + | 0.969665i | ||||
\(33\) | −3.97971 | − | 0.671971i | −0.692779 | − | 0.116975i | ||||
\(34\) | −6.82331 | + | 11.8183i | −1.17019 | + | 2.02683i | ||||
\(35\) | −0.706571 | −0.119432 | ||||||||
\(36\) | 8.76273 | + | 3.04600i | 1.46046 | + | 0.507667i | ||||
\(37\) | −2.38079 | −0.391400 | −0.195700 | − | 0.980664i | \(-0.562698\pi\) | ||||
−0.195700 | + | 0.980664i | \(0.562698\pi\) | |||||||
\(38\) | 8.93492 | − | 15.4757i | 1.44944 | − | 2.51050i | ||||
\(39\) | 1.10368 | − | 1.33488i | 0.176730 | − | 0.213751i | ||||
\(40\) | 1.23251 | + | 2.13477i | 0.194877 | + | 0.337537i | ||||
\(41\) | 4.72945 | + | 8.19164i | 0.738616 | + | 1.27932i | 0.953119 | + | 0.302596i | \(0.0978534\pi\) |
−0.214503 | + | 0.976723i | \(0.568813\pi\) | |||||||
\(42\) | −1.75977 | + | 2.12841i | −0.271539 | + | 0.328421i | ||||
\(43\) | −5.96795 | + | 10.3368i | −0.910103 | + | 1.57635i | −0.0961869 | + | 0.995363i | \(0.530665\pi\) |
−0.813916 | + | 0.580982i | \(0.802669\pi\) | |||||||
\(44\) | −7.20582 | −1.08632 | ||||||||
\(45\) | −2.83368 | − | 0.985013i | −0.422420 | − | 0.146837i | ||||
\(46\) | −20.2103 | −2.97985 | ||||||||
\(47\) | −4.86433 | + | 8.42527i | −0.709536 | + | 1.22895i | 0.255493 | + | 0.966811i | \(0.417762\pi\) |
−0.965029 | + | 0.262142i | \(0.915571\pi\) | |||||||
\(48\) | −1.06242 | − | 0.179389i | −0.153348 | − | 0.0258926i | ||||
\(49\) | 3.25038 | + | 5.62982i | 0.464340 | + | 0.804260i | ||||
\(50\) | −1.12831 | − | 1.95429i | −0.159567 | − | 0.276379i | ||||
\(51\) | −3.65381 | − | 9.81639i | −0.511636 | − | 1.37457i | ||||
\(52\) | 1.54617 | − | 2.67805i | 0.214416 | − | 0.371379i | ||||
\(53\) | 5.90968 | 0.811756 | 0.405878 | − | 0.913927i | \(-0.366966\pi\) | ||||
0.405878 | + | 0.913927i | \(0.366966\pi\) | |||||||
\(54\) | −10.0247 | + | 6.08269i | −1.36419 | + | 0.827749i | ||||
\(55\) | 2.33021 | 0.314205 | ||||||||
\(56\) | −0.870856 | + | 1.50837i | −0.116373 | + | 0.201564i | ||||
\(57\) | 4.78456 | + | 12.8543i | 0.633730 | + | 1.70259i | ||||
\(58\) | 2.71562 | + | 4.70359i | 0.356578 | + | 0.617611i | ||||
\(59\) | −1.48719 | − | 2.57588i | −0.193615 | − | 0.335351i | 0.752831 | − | 0.658214i | \(-0.228688\pi\) |
−0.946446 | + | 0.322863i | \(0.895355\pi\) | |||||||
\(60\) | −5.28135 | − | 0.891752i | −0.681819 | − | 0.115125i | ||||
\(61\) | 4.62078 | − | 8.00343i | 0.591630 | − | 1.02473i | −0.402383 | − | 0.915472i | \(-0.631818\pi\) |
0.994013 | − | 0.109262i | \(-0.0348488\pi\) | |||||||
\(62\) | −6.91501 | −0.878207 | ||||||||
\(63\) | −0.398361 | − | 2.08194i | −0.0501887 | − | 0.262300i | ||||
\(64\) | −13.0489 | −1.63111 | ||||||||
\(65\) | −0.500000 | + | 0.866025i | −0.0620174 | + | 0.107417i | ||||
\(66\) | 5.80358 | − | 7.01933i | 0.714371 | − | 0.864019i | ||||
\(67\) | 0.847241 | + | 1.46746i | 0.103507 | + | 0.179279i | 0.913127 | − | 0.407675i | \(-0.133660\pi\) |
−0.809620 | + | 0.586954i | \(0.800327\pi\) | |||||||
\(68\) | −9.35028 | − | 16.1952i | −1.13389 | − | 1.96395i | ||||
\(69\) | 9.88452 | − | 11.9551i | 1.18996 | − | 1.43923i | ||||
\(70\) | 0.797232 | − | 1.38085i | 0.0952875 | − | 0.165043i | ||||
\(71\) | −12.4439 | −1.47682 | −0.738410 | − | 0.674352i | \(-0.764423\pi\) | ||||
−0.738410 | + | 0.674352i | \(0.764423\pi\) | |||||||
\(72\) | −5.59532 | + | 4.83522i | −0.659415 | + | 0.569837i | ||||
\(73\) | 4.88899 | 0.572213 | 0.286106 | − | 0.958198i | \(-0.407639\pi\) | ||||
0.286106 | + | 0.958198i | \(0.407639\pi\) | |||||||
\(74\) | 2.68628 | − | 4.65277i | 0.312273 | − | 0.540873i | ||||
\(75\) | 1.70788 | + | 0.288374i | 0.197209 | + | 0.0332985i | ||||
\(76\) | 12.2439 | + | 21.2071i | 1.40447 | + | 2.43262i | ||||
\(77\) | 0.823229 | + | 1.42587i | 0.0938157 | + | 0.162493i | ||||
\(78\) | 1.36345 | + | 3.66307i | 0.154380 | + | 0.414761i | ||||
\(79\) | 5.51270 | − | 9.54827i | 0.620227 | − | 1.07426i | −0.369217 | − | 0.929343i | \(-0.620374\pi\) |
0.989443 | − | 0.144921i | \(-0.0462927\pi\) | |||||||
\(80\) | 0.622073 | 0.0695499 | ||||||||
\(81\) | 1.30477 | − | 8.90492i | 0.144975 | − | 0.989435i | ||||
\(82\) | −21.3452 | −2.35718 | ||||||||
\(83\) | 0.260845 | − | 0.451797i | 0.0286315 | − | 0.0495912i | −0.851355 | − | 0.524591i | \(-0.824218\pi\) |
0.879986 | + | 0.474999i | \(0.157552\pi\) | |||||||
\(84\) | −1.32015 | − | 3.54674i | −0.144041 | − | 0.386982i | ||||
\(85\) | 3.02368 | + | 5.23717i | 0.327964 | + | 0.568051i | ||||
\(86\) | −13.4674 | − | 23.3262i | −1.45223 | − | 2.51533i | ||||
\(87\) | −4.11051 | − | 0.694057i | −0.440693 | − | 0.0744107i | ||||
\(88\) | 2.87201 | − | 4.97447i | 0.306157 | − | 0.530280i | ||||
\(89\) | 10.7608 | 1.14065 | 0.570323 | − | 0.821420i | \(-0.306818\pi\) | ||||
0.570323 | + | 0.821420i | \(0.306818\pi\) | |||||||
\(90\) | 5.12228 | − | 4.42644i | 0.539936 | − | 0.466588i | ||||
\(91\) | −0.706571 | −0.0740687 | ||||||||
\(92\) | 13.8475 | − | 23.9846i | 1.44370 | − | 2.50057i | ||||
\(93\) | 3.38201 | − | 4.09049i | 0.350699 | − | 0.424164i | ||||
\(94\) | −10.9770 | − | 19.0127i | −1.13219 | − | 1.96101i | ||||
\(95\) | −3.95942 | − | 6.85792i | −0.406228 | − | 0.703607i | ||||
\(96\) | 6.99050 | − | 8.45488i | 0.713465 | − | 0.862923i | ||||
\(97\) | 1.48153 | − | 2.56609i | 0.150427 | − | 0.260547i | −0.780958 | − | 0.624584i | \(-0.785269\pi\) |
0.931384 | + | 0.364037i | \(0.118602\pi\) | |||||||
\(98\) | −14.6698 | −1.48187 | ||||||||
\(99\) | 1.31376 | + | 6.86607i | 0.132038 | + | 0.690066i | ||||
\(100\) | 3.09235 | 0.309235 | ||||||||
\(101\) | −6.83573 | + | 11.8398i | −0.680181 | + | 1.17811i | 0.294745 | + | 0.955576i | \(0.404765\pi\) |
−0.974925 | + | 0.222532i | \(0.928568\pi\) | |||||||
\(102\) | 23.3067 | + | 3.93533i | 2.30771 | + | 0.389655i | ||||
\(103\) | 3.56535 | + | 6.17537i | 0.351305 | + | 0.608478i | 0.986478 | − | 0.163892i | \(-0.0524048\pi\) |
−0.635174 | + | 0.772369i | \(0.719071\pi\) | |||||||
\(104\) | 1.23251 | + | 2.13477i | 0.120858 | + | 0.209332i | ||||
\(105\) | 0.426909 | + | 1.14694i | 0.0416621 | + | 0.111930i | ||||
\(106\) | −6.66796 | + | 11.5492i | −0.647649 | + | 1.12176i | ||||
\(107\) | −1.70776 | −0.165095 | −0.0825477 | − | 0.996587i | \(-0.526306\pi\) | ||||
−0.0825477 | + | 0.996587i | \(0.526306\pi\) | |||||||
\(108\) | −0.350008 | − | 16.0645i | −0.0336796 | − | 1.54581i | ||||
\(109\) | −3.23628 | −0.309979 | −0.154989 | − | 0.987916i | \(-0.549534\pi\) | ||||
−0.154989 | + | 0.987916i | \(0.549534\pi\) | |||||||
\(110\) | −2.62920 | + | 4.55391i | −0.250685 | + | 0.434199i | ||||
\(111\) | 1.43847 | + | 3.86462i | 0.136534 | + | 0.366814i | ||||
\(112\) | 0.219769 | + | 0.380652i | 0.0207662 | + | 0.0359682i | ||||
\(113\) | 0.339220 | + | 0.587547i | 0.0319112 | + | 0.0552717i | 0.881540 | − | 0.472109i | \(-0.156507\pi\) |
−0.849629 | + | 0.527381i | \(0.823174\pi\) | |||||||
\(114\) | −30.5195 | − | 5.15319i | −2.85841 | − | 0.482641i | ||||
\(115\) | −4.47799 | + | 7.75611i | −0.417575 | + | 0.723261i | ||||
\(116\) | −7.44266 | −0.691033 | ||||||||
\(117\) | −2.83368 | − | 0.985013i | −0.261974 | − | 0.0910645i | ||||
\(118\) | 6.71204 | 0.617893 | ||||||||
\(119\) | −2.13645 | + | 3.70043i | −0.195848 | + | 0.339218i | ||||
\(120\) | 2.72059 | − | 3.29050i | 0.248355 | − | 0.300380i | ||||
\(121\) | 2.78506 | + | 4.82387i | 0.253187 | + | 0.438533i | ||||
\(122\) | 10.4274 | + | 18.0607i | 0.944049 | + | 1.63514i | ||||
\(123\) | 10.4396 | − | 12.6265i | 0.941304 | − | 1.13849i | ||||
\(124\) | 4.73797 | − | 8.20640i | 0.425482 | − | 0.736957i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 4.51820 | + | 1.57057i | 0.402514 | + | 0.139917i | ||||
\(127\) | 14.6889 | 1.30343 | 0.651714 | − | 0.758465i | \(-0.274050\pi\) | ||||
0.651714 | + | 0.758465i | \(0.274050\pi\) | |||||||
\(128\) | 8.38942 | − | 14.5309i | 0.741527 | − | 1.28436i | ||||
\(129\) | 20.3850 | + | 3.44200i | 1.79480 | + | 0.303051i | ||||
\(130\) | −1.12831 | − | 1.95429i | −0.0989595 | − | 0.171403i | ||||
\(131\) | 4.53194 | + | 7.84955i | 0.395957 | + | 0.685818i | 0.993223 | − | 0.116225i | \(-0.0370795\pi\) |
−0.597266 | + | 0.802044i | \(0.703746\pi\) | |||||||
\(132\) | 4.35375 | + | 11.6969i | 0.378946 | + | 1.01808i | ||||
\(133\) | 2.79761 | − | 4.84560i | 0.242584 | − | 0.420167i | ||||
\(134\) | −3.82381 | −0.330327 | ||||||||
\(135\) | 0.113185 | + | 5.19492i | 0.00974144 | + | 0.447107i | ||||
\(136\) | 14.9069 | 1.27825 | ||||||||
\(137\) | 1.01492 | − | 1.75789i | 0.0867104 | − | 0.150187i | −0.819408 | − | 0.573210i | \(-0.805698\pi\) |
0.906119 | + | 0.423023i | \(0.139031\pi\) | |||||||
\(138\) | 12.2110 | + | 32.8064i | 1.03947 | + | 2.79266i | ||||
\(139\) | 1.42659 | + | 2.47092i | 0.121002 | + | 0.209581i | 0.920163 | − | 0.391536i | \(-0.128056\pi\) |
−0.799161 | + | 0.601117i | \(0.794723\pi\) | |||||||
\(140\) | 1.09248 | + | 1.89223i | 0.0923316 | + | 0.159923i | ||||
\(141\) | 16.6154 | + | 2.80549i | 1.39927 | + | 0.236265i | ||||
\(142\) | 14.0406 | − | 24.3190i | 1.17826 | − | 2.04081i | ||||
\(143\) | 2.33021 | 0.194862 | ||||||||
\(144\) | 0.350721 | + | 1.83297i | 0.0292268 | + | 0.152747i | ||||
\(145\) | 2.40680 | 0.199874 | ||||||||
\(146\) | −5.51630 | + | 9.55452i | −0.456532 | + | 0.790737i | ||||
\(147\) | 7.17474 | − | 8.67771i | 0.591762 | − | 0.715726i | ||||
\(148\) | 3.68112 | + | 6.37589i | 0.302586 | + | 0.524095i | ||||
\(149\) | −4.49112 | − | 7.77885i | −0.367927 | − | 0.637269i | 0.621314 | − | 0.783562i | \(-0.286599\pi\) |
−0.989241 | + | 0.146293i | \(0.953266\pi\) | |||||||
\(150\) | −2.49058 | + | 3.01232i | −0.203355 | + | 0.245955i | ||||
\(151\) | 1.37741 | − | 2.38575i | 0.112092 | − | 0.194150i | −0.804521 | − | 0.593924i | \(-0.797578\pi\) |
0.916614 | + | 0.399774i | \(0.130911\pi\) | |||||||
\(152\) | −19.5201 | −1.58329 | ||||||||
\(153\) | −13.7268 | + | 11.8621i | −1.10975 | + | 0.958995i | ||||
\(154\) | −3.71544 | −0.299398 | ||||||||
\(155\) | −1.53216 | + | 2.65378i | −0.123066 | + | 0.213156i | ||||
\(156\) | −5.28135 | − | 0.891752i | −0.422846 | − | 0.0713973i | ||||
\(157\) | −12.2493 | − | 21.2164i | −0.977601 | − | 1.69325i | −0.671071 | − | 0.741393i | \(-0.734166\pi\) |
−0.306529 | − | 0.951861i | \(-0.599168\pi\) | |||||||
\(158\) | 12.4401 | + | 21.5468i | 0.989679 | + | 1.71418i | ||||
\(159\) | −3.57062 | − | 9.59289i | −0.283169 | − | 0.760765i | ||||
\(160\) | −3.16691 | + | 5.48526i | −0.250367 | + | 0.433648i | ||||
\(161\) | −6.32804 | −0.498719 | ||||||||
\(162\) | 15.9306 | + | 12.5974i | 1.25163 | + | 0.989748i | ||||
\(163\) | −18.2489 | −1.42937 | −0.714684 | − | 0.699448i | \(-0.753429\pi\) | ||||
−0.714684 | + | 0.699448i | \(0.753429\pi\) | |||||||
\(164\) | 14.6251 | − | 25.3314i | 1.14203 | − | 1.97805i | ||||
\(165\) | −1.40791 | − | 3.78252i | −0.109606 | − | 0.294468i | ||||
\(166\) | 0.588630 | + | 1.01954i | 0.0456865 | + | 0.0791314i | ||||
\(167\) | −2.80066 | − | 4.85088i | −0.216721 | − | 0.375372i | 0.737082 | − | 0.675803i | \(-0.236203\pi\) |
−0.953804 | + | 0.300431i | \(0.902870\pi\) | |||||||
\(168\) | 2.97463 | + | 0.502264i | 0.229498 | + | 0.0387505i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −13.6466 | −1.04665 | ||||||||
\(171\) | 17.9749 | − | 15.5331i | 1.37457 | − | 1.18784i | ||||
\(172\) | 36.9100 | 2.81436 | ||||||||
\(173\) | 1.80130 | − | 3.11994i | 0.136950 | − | 0.237205i | −0.789391 | − | 0.613891i | \(-0.789603\pi\) |
0.926341 | + | 0.376687i | \(0.122937\pi\) | |||||||
\(174\) | 5.99433 | − | 7.25003i | 0.454429 | − | 0.549624i | ||||
\(175\) | −0.353285 | − | 0.611908i | −0.0267059 | − | 0.0462559i | ||||
\(176\) | −0.724780 | − | 1.25536i | −0.0546324 | − | 0.0946260i | ||||
\(177\) | −3.28274 | + | 3.97042i | −0.246746 | + | 0.298435i | ||||
\(178\) | −12.1416 | + | 21.0298i | −0.910050 | + | 1.57625i | ||||
\(179\) | 15.3123 | 1.14449 | 0.572246 | − | 0.820082i | \(-0.306072\pi\) | ||||
0.572246 | + | 0.820082i | \(0.306072\pi\) | |||||||
\(180\) | 1.74345 | + | 9.11175i | 0.129949 | + | 0.679150i | ||||
\(181\) | −7.23734 | −0.537947 | −0.268974 | − | 0.963148i | \(-0.586684\pi\) | ||||
−0.268974 | + | 0.963148i | \(0.586684\pi\) | |||||||
\(182\) | 0.797232 | − | 1.38085i | 0.0590948 | − | 0.102355i | ||||
\(183\) | −15.7834 | − | 2.66502i | −1.16675 | − | 0.197004i | ||||
\(184\) | 11.0384 | + | 19.1190i | 0.813758 | + | 1.40947i | ||||
\(185\) | −1.19040 | − | 2.06183i | −0.0875197 | − | 0.151589i | ||||
\(186\) | 4.17804 | + | 11.2248i | 0.306349 | + | 0.823042i | ||||
\(187\) | 7.04581 | − | 12.2037i | 0.515241 | − | 0.892423i | ||||
\(188\) | 30.0844 | 2.19413 | ||||||||
\(189\) | −3.13883 | + | 1.90455i | −0.228316 | + | 0.138535i | ||||
\(190\) | 17.8698 | 1.29641 | ||||||||
\(191\) | 9.68393 | − | 16.7731i | 0.700705 | − | 1.21366i | −0.267515 | − | 0.963554i | \(-0.586202\pi\) |
0.968219 | − | 0.250102i | \(-0.0804642\pi\) | |||||||
\(192\) | 7.88415 | + | 21.1817i | 0.568989 | + | 1.52866i | ||||
\(193\) | −2.52773 | − | 4.37816i | −0.181950 | − | 0.315147i | 0.760595 | − | 0.649227i | \(-0.224908\pi\) |
−0.942545 | + | 0.334081i | \(0.891574\pi\) | |||||||
\(194\) | 3.34326 | + | 5.79069i | 0.240032 | + | 0.415747i | ||||
\(195\) | 1.70788 | + | 0.288374i | 0.122304 | + | 0.0206509i | ||||
\(196\) | 10.0513 | − | 17.4094i | 0.717951 | − | 1.24353i | ||||
\(197\) | 6.35430 | 0.452725 | 0.226363 | − | 0.974043i | \(-0.427317\pi\) | ||||
0.226363 | + | 0.974043i | \(0.427317\pi\) | |||||||
\(198\) | −14.9006 | − | 5.17960i | −1.05894 | − | 0.368098i | ||||
\(199\) | −16.7816 | −1.18961 | −0.594807 | − | 0.803868i | \(-0.702772\pi\) | ||||
−0.594807 | + | 0.803868i | \(0.702772\pi\) | |||||||
\(200\) | −1.23251 | + | 2.13477i | −0.0871517 | + | 0.150951i | ||||
\(201\) | 1.87016 | − | 2.26193i | 0.131911 | − | 0.159544i | ||||
\(202\) | −15.4257 | − | 26.7181i | −1.08535 | − | 1.87988i | ||||
\(203\) | 0.850286 | + | 1.47274i | 0.0596784 | + | 0.103366i | ||||
\(204\) | −20.6394 | + | 24.9630i | −1.44505 | + | 1.74776i | ||||
\(205\) | −4.72945 | + | 8.19164i | −0.330319 | + | 0.572129i | ||||
\(206\) | −16.0913 | −1.12114 | ||||||||
\(207\) | −25.3784 | − | 8.82176i | −1.76392 | − | 0.613155i | ||||
\(208\) | 0.622073 | 0.0431330 | ||||||||
\(209\) | −9.22628 | + | 15.9804i | −0.638195 | + | 1.10539i | ||||
\(210\) | −2.72315 | − | 0.459801i | −0.187915 | − | 0.0317293i | ||||
\(211\) | 5.68155 | + | 9.84073i | 0.391134 | + | 0.677464i | 0.992599 | − | 0.121435i | \(-0.0387495\pi\) |
−0.601465 | + | 0.798899i | \(0.705416\pi\) | |||||||
\(212\) | −9.13739 | − | 15.8264i | −0.627559 | − | 1.08696i | ||||
\(213\) | 7.51860 | + | 20.1996i | 0.515166 | + | 1.38405i | ||||
\(214\) | 1.92689 | − | 3.33747i | 0.131719 | − | 0.228144i | ||||
\(215\) | −11.9359 | −0.814021 | ||||||||
\(216\) | 11.2295 | + | 6.16117i | 0.764069 | + | 0.419215i | ||||
\(217\) | −2.16516 | −0.146980 | ||||||||
\(218\) | 3.65153 | − | 6.32463i | 0.247313 | − | 0.428358i | ||||
\(219\) | −2.95392 | − | 7.93605i | −0.199608 | − | 0.536269i | ||||
\(220\) | −3.60291 | − | 6.24043i | −0.242908 | − | 0.420729i | ||||
\(221\) | 3.02368 | + | 5.23717i | 0.203395 | + | 0.352290i | ||||
\(222\) | −9.17565 | − | 1.54930i | −0.615829 | − | 0.103982i | ||||
\(223\) | 10.0428 | − | 17.3947i | 0.672518 | − | 1.16484i | −0.304669 | − | 0.952458i | \(-0.598546\pi\) |
0.977188 | − | 0.212378i | \(-0.0681207\pi\) | |||||||
\(224\) | −4.47530 | −0.299018 | ||||||||
\(225\) | −0.563795 | − | 2.94655i | −0.0375863 | − | 0.196436i | ||||
\(226\) | −1.53098 | −0.101840 | ||||||||
\(227\) | 5.67412 | − | 9.82787i | 0.376605 | − | 0.652299i | −0.613961 | − | 0.789336i | \(-0.710425\pi\) |
0.990566 | + | 0.137038i | \(0.0437582\pi\) | |||||||
\(228\) | 27.0266 | − | 32.6882i | 1.78988 | − | 2.16483i | ||||
\(229\) | 1.84068 | + | 3.18815i | 0.121635 | + | 0.210679i | 0.920413 | − | 0.390948i | \(-0.127853\pi\) |
−0.798777 | + | 0.601627i | \(0.794519\pi\) | |||||||
\(230\) | −10.1051 | − | 17.5026i | −0.666314 | − | 1.15409i | ||||
\(231\) | 1.81716 | − | 2.19782i | 0.119560 | − | 0.144606i | ||||
\(232\) | 2.96640 | − | 5.13796i | 0.194754 | − | 0.337324i | ||||
\(233\) | 12.5286 | 0.820778 | 0.410389 | − | 0.911911i | \(-0.365393\pi\) | ||||
0.410389 | + | 0.911911i | \(0.365393\pi\) | |||||||
\(234\) | 5.12228 | − | 4.42644i | 0.334854 | − | 0.289366i | ||||
\(235\) | −9.72867 | −0.634628 | ||||||||
\(236\) | −4.59890 | + | 7.96552i | −0.299363 | + | 0.518511i | ||||
\(237\) | −18.8300 | − | 3.17943i | −1.22314 | − | 0.206526i | ||||
\(238\) | −4.82115 | − | 8.35048i | −0.312509 | − | 0.541281i | ||||
\(239\) | −1.66443 | − | 2.88288i | −0.107663 | − | 0.186478i | 0.807160 | − | 0.590333i | \(-0.201004\pi\) |
−0.914823 | + | 0.403855i | \(0.867670\pi\) | |||||||
\(240\) | −0.375856 | − | 1.00978i | −0.0242614 | − | 0.0651811i | ||||
\(241\) | 13.3919 | − | 23.1955i | 0.862649 | − | 1.49415i | −0.00671442 | − | 0.999977i | \(-0.502137\pi\) |
0.869363 | − | 0.494174i | \(-0.164529\pi\) | |||||||
\(242\) | −12.5697 | −0.808009 | ||||||||
\(243\) | −15.2433 | + | 3.26237i | −0.977855 | + | 0.209281i | ||||
\(244\) | −28.5781 | −1.82953 | ||||||||
\(245\) | −3.25038 | + | 5.62982i | −0.207659 | + | 0.359676i | ||||
\(246\) | 12.8967 | + | 34.6486i | 0.822265 | + | 2.20911i | ||||
\(247\) | −3.95942 | − | 6.85792i | −0.251932 | − | 0.436359i | ||||
\(248\) | 3.77680 | + | 6.54161i | 0.239827 | + | 0.415393i | ||||
\(249\) | −0.890983 | − | 0.150442i | −0.0564637 | − | 0.00953386i | ||||
\(250\) | 1.12831 | − | 1.95429i | 0.0713607 | − | 0.123600i | ||||
\(251\) | −6.05718 | −0.382326 | −0.191163 | − | 0.981558i | \(-0.561226\pi\) | ||||
−0.191163 | + | 0.981558i | \(0.561226\pi\) | |||||||
\(252\) | −4.95962 | + | 4.28588i | −0.312427 | + | 0.269985i | ||||
\(253\) | 20.8693 | 1.31204 | ||||||||
\(254\) | −16.5737 | + | 28.7064i | −1.03992 | + | 1.80120i | ||||
\(255\) | 6.67434 | − | 8.07249i | 0.417963 | − | 0.505519i | ||||
\(256\) | 5.88285 | + | 10.1894i | 0.367678 | + | 0.636837i | ||||
\(257\) | 1.97635 | + | 3.42314i | 0.123281 | + | 0.213529i | 0.921060 | − | 0.389421i | \(-0.127325\pi\) |
−0.797779 | + | 0.602951i | \(0.793992\pi\) | |||||||
\(258\) | −29.7273 | + | 35.9547i | −1.85074 | + | 2.23844i | ||||
\(259\) | 0.841099 | − | 1.45683i | 0.0522634 | − | 0.0905228i | ||||
\(260\) | 3.09235 | 0.191779 | ||||||||
\(261\) | 1.35694 | + | 7.09174i | 0.0839924 | + | 0.438968i | ||||
\(262\) | −20.4538 | −1.26364 | ||||||||
\(263\) | −5.65057 | + | 9.78708i | −0.348429 | + | 0.603497i | −0.985971 | − | 0.166919i | \(-0.946618\pi\) |
0.637541 | + | 0.770416i | \(0.279952\pi\) | |||||||
\(264\) | −9.81007 | − | 1.65642i | −0.603768 | − | 0.101946i | ||||
\(265\) | 2.95484 | + | 5.11793i | 0.181514 | + | 0.314392i | ||||
\(266\) | 6.31315 | + | 10.9347i | 0.387084 | + | 0.670450i | ||||
\(267\) | −6.50169 | − | 17.4675i | −0.397897 | − | 1.06900i | ||||
\(268\) | 2.61997 | − | 4.53791i | 0.160040 | − | 0.277197i | ||||
\(269\) | −20.7773 | −1.26681 | −0.633407 | − | 0.773819i | \(-0.718344\pi\) | ||||
−0.633407 | + | 0.773819i | \(0.718344\pi\) | |||||||
\(270\) | −10.2801 | − | 5.64029i | −0.625627 | − | 0.343257i | ||||
\(271\) | −1.72567 | −0.104827 | −0.0524136 | − | 0.998625i | \(-0.516691\pi\) | ||||
−0.0524136 | + | 0.998625i | \(0.516691\pi\) | |||||||
\(272\) | 1.88095 | − | 3.25790i | 0.114049 | − | 0.197539i | ||||
\(273\) | 0.426909 | + | 1.14694i | 0.0258377 | + | 0.0694161i | ||||
\(274\) | 2.29029 | + | 3.96690i | 0.138361 | + | 0.239649i | ||||
\(275\) | 1.16510 | + | 2.01802i | 0.0702585 | + | 0.121691i | ||||
\(276\) | −47.2997 | − | 7.98652i | −2.84711 | − | 0.480732i | ||||
\(277\) | 1.73361 | − | 3.00270i | 0.104163 | − | 0.180415i | −0.809233 | − | 0.587488i | \(-0.800117\pi\) |
0.913396 | + | 0.407073i | \(0.133450\pi\) | |||||||
\(278\) | −6.43855 | −0.386158 | ||||||||
\(279\) | −8.68329 | − | 3.01839i | −0.519855 | − | 0.180706i | ||||
\(280\) | −1.74171 | −0.104087 | ||||||||
\(281\) | −0.586316 | + | 1.01553i | −0.0349767 | + | 0.0605814i | −0.882984 | − | 0.469403i | \(-0.844469\pi\) |
0.848007 | + | 0.529985i | \(0.177802\pi\) | |||||||
\(282\) | −24.2301 | + | 29.3058i | −1.44288 | + | 1.74514i | ||||
\(283\) | −10.9061 | − | 18.8899i | −0.648301 | − | 1.12289i | −0.983529 | − | 0.180753i | \(-0.942147\pi\) |
0.335228 | − | 0.942137i | \(-0.391187\pi\) | |||||||
\(284\) | 19.2405 | + | 33.3255i | 1.14171 | + | 1.97750i | ||||
\(285\) | −8.73984 | + | 10.5707i | −0.517704 | + | 0.626153i | ||||
\(286\) | −2.62920 | + | 4.55391i | −0.155468 | + | 0.269279i | ||||
\(287\) | −6.68338 | −0.394507 | ||||||||
\(288\) | −17.9481 | − | 6.23890i | −1.05760 | − | 0.367631i | ||||
\(289\) | 19.5706 | 1.15121 | ||||||||
\(290\) | −2.71562 | + | 4.70359i | −0.159467 | + | 0.276204i | ||||
\(291\) | −5.06054 | − | 0.854468i | −0.296654 | − | 0.0500898i | ||||
\(292\) | −7.55923 | − | 13.0930i | −0.442371 | − | 0.766208i | ||||
\(293\) | 13.9460 | + | 24.1551i | 0.814732 | + | 1.41116i | 0.909520 | + | 0.415659i | \(0.136449\pi\) |
−0.0947888 | + | 0.995497i | \(0.530218\pi\) | |||||||
\(294\) | 8.86346 | + | 23.8127i | 0.516927 | + | 1.38879i | ||||
\(295\) | 1.48719 | − | 2.57588i | 0.0865873 | − | 0.149974i | ||||
\(296\) | −5.86870 | −0.341112 | ||||||||
\(297\) | 10.3516 | − | 6.28104i | 0.600660 | − | 0.364463i | ||||
\(298\) | 20.2695 | 1.17418 | ||||||||
\(299\) | −4.47799 | + | 7.75611i | −0.258969 | + | 0.448548i | ||||
\(300\) | −1.86840 | − | 5.01966i | −0.107872 | − | 0.289810i | ||||
\(301\) | −4.21678 | − | 7.30367i | −0.243051 | − | 0.420977i | ||||
\(302\) | 3.10831 | + | 5.38374i | 0.178863 | + | 0.309800i | ||||
\(303\) | 23.3492 | + | 3.94249i | 1.34137 | + | 0.226490i | ||||
\(304\) | −2.46305 | + | 4.26613i | −0.141266 | + | 0.244679i | ||||
\(305\) | 9.24156 | 0.529170 | ||||||||
\(306\) | −7.69389 | − | 40.2104i | −0.439831 | − | 2.29868i | ||||
\(307\) | −0.574330 | −0.0327787 | −0.0163894 | − | 0.999866i | \(-0.505217\pi\) | ||||
−0.0163894 | + | 0.999866i | \(0.505217\pi\) | |||||||
\(308\) | 2.54571 | − | 4.40930i | 0.145055 | − | 0.251243i | ||||
\(309\) | 7.87000 | − | 9.51862i | 0.447709 | − | 0.541495i | ||||
\(310\) | −3.45750 | − | 5.98857i | −0.196373 | − | 0.340128i | ||||
\(311\) | −11.5536 | − | 20.0114i | −0.655143 | − | 1.13474i | −0.981858 | − | 0.189618i | \(-0.939275\pi\) |
0.326715 | − | 0.945123i | \(-0.394058\pi\) | |||||||
\(312\) | 2.72059 | − | 3.29050i | 0.154023 | − | 0.186288i | ||||
\(313\) | −12.7427 | + | 22.0710i | −0.720260 | + | 1.24753i | 0.240635 | + | 0.970616i | \(0.422644\pi\) |
−0.960895 | + | 0.276912i | \(0.910689\pi\) | |||||||
\(314\) | 55.2841 | 3.11986 | ||||||||
\(315\) | 1.60384 | − | 1.38596i | 0.0903659 | − | 0.0780901i | ||||
\(316\) | −34.0944 | −1.91796 | ||||||||
\(317\) | −16.1778 | + | 28.0208i | −0.908638 | + | 1.57381i | −0.0926799 | + | 0.995696i | \(0.529543\pi\) |
−0.815958 | + | 0.578111i | \(0.803790\pi\) | |||||||
\(318\) | 22.7761 | + | 3.84573i | 1.27722 | + | 0.215658i | ||||
\(319\) | −2.80417 | − | 4.85697i | −0.157003 | − | 0.271938i | ||||
\(320\) | −6.52446 | − | 11.3007i | −0.364728 | − | 0.631728i | ||||
\(321\) | 1.03183 | + | 2.77212i | 0.0575910 | + | 0.154725i | ||||
\(322\) | 7.14000 | − | 12.3668i | 0.397897 | − | 0.689177i | ||||
\(323\) | −47.8881 | −2.66457 | ||||||||
\(324\) | −25.8653 | + | 10.2743i | −1.43696 | + | 0.570795i | ||||
\(325\) | −1.00000 | −0.0554700 | ||||||||
\(326\) | 20.5905 | − | 35.6638i | 1.14040 | − | 1.97523i | ||||
\(327\) | 1.95535 | + | 5.25329i | 0.108131 | + | 0.290507i | ||||
\(328\) | 11.6582 | + | 20.1926i | 0.643716 | + | 1.11495i | ||||
\(329\) | −3.43700 | − | 5.95305i | −0.189488 | − | 0.328202i | ||||
\(330\) | 8.98071 | + | 1.51639i | 0.494372 | + | 0.0834743i | ||||
\(331\) | −15.0848 | + | 26.1276i | −0.829135 | + | 1.43610i | 0.0695818 | + | 0.997576i | \(0.477834\pi\) |
−0.898717 | + | 0.438529i | \(0.855500\pi\) | |||||||
\(332\) | −1.61325 | −0.0885386 | ||||||||
\(333\) | 5.40413 | − | 4.67000i | 0.296144 | − | 0.255915i | ||||
\(334\) | 12.6400 | 0.691633 | ||||||||
\(335\) | −0.847241 | + | 1.46746i | −0.0462897 | + | 0.0801762i | ||||
\(336\) | 0.485109 | − | 0.586730i | 0.0264648 | − | 0.0320087i | ||||
\(337\) | −3.28919 | − | 5.69705i | −0.179174 | − | 0.310338i | 0.762424 | − | 0.647078i | \(-0.224009\pi\) |
−0.941598 | + | 0.336740i | \(0.890676\pi\) | |||||||
\(338\) | −1.12831 | − | 1.95429i | −0.0613721 | − | 0.106300i | ||||
\(339\) | 0.748779 | − | 0.905635i | 0.0406681 | − | 0.0491873i | ||||
\(340\) | 9.35028 | − | 16.1952i | 0.507090 | − | 0.878306i | ||||
\(341\) | 7.14050 | 0.386680 | ||||||||
\(342\) | 10.0749 | + | 52.6543i | 0.544789 | + | 2.84722i | ||||
\(343\) | −9.53924 | −0.515071 | ||||||||
\(344\) | −14.7111 | + | 25.4804i | −0.793170 | + | 1.37381i | ||||
\(345\) | 15.2957 | + | 2.58267i | 0.823494 | + | 0.139046i | ||||
\(346\) | 4.06485 | + | 7.04053i | 0.218528 | + | 0.378501i | ||||
\(347\) | 1.00532 | + | 1.74126i | 0.0539682 | + | 0.0934756i | 0.891747 | − | 0.452534i | \(-0.149480\pi\) |
−0.837779 | + | 0.546009i | \(0.816146\pi\) | |||||||
\(348\) | 4.49685 | + | 12.0813i | 0.241056 | + | 0.647626i | ||||
\(349\) | −7.00194 | + | 12.1277i | −0.374805 | + | 0.649182i | −0.990298 | − | 0.138961i | \(-0.955624\pi\) |
0.615493 | + | 0.788143i | \(0.288957\pi\) | |||||||
\(350\) | 1.59446 | 0.0852277 | ||||||||
\(351\) | 0.113185 | + | 5.19492i | 0.00604138 | + | 0.277284i | ||||
\(352\) | 14.7591 | 0.786665 | ||||||||
\(353\) | −17.2999 | + | 29.9643i | −0.920780 | + | 1.59484i | −0.122570 | + | 0.992460i | \(0.539114\pi\) |
−0.798211 | + | 0.602379i | \(0.794220\pi\) | |||||||
\(354\) | −4.05541 | − | 10.8953i | −0.215542 | − | 0.579080i | ||||
\(355\) | −6.22195 | − | 10.7767i | −0.330227 | − | 0.571970i | ||||
\(356\) | −16.6381 | − | 28.8181i | −0.881820 | − | 1.52736i | ||||
\(357\) | 7.29757 | + | 1.23219i | 0.386228 | + | 0.0652143i | ||||
\(358\) | −17.2770 | + | 29.9247i | −0.913118 | + | 1.58157i | ||||
\(359\) | 22.7679 | 1.20164 | 0.600822 | − | 0.799382i | \(-0.294840\pi\) | ||||
0.600822 | + | 0.799382i | \(0.294840\pi\) | |||||||
\(360\) | −6.98509 | − | 2.42808i | −0.368146 | − | 0.127971i | ||||
\(361\) | 43.7080 | 2.30042 | ||||||||
\(362\) | 8.16597 | − | 14.1439i | 0.429194 | − | 0.743386i | ||||
\(363\) | 6.14762 | − | 7.43543i | 0.322666 | − | 0.390259i | ||||
\(364\) | 1.09248 | + | 1.89223i | 0.0572616 | + | 0.0991800i | ||||
\(365\) | 2.44449 | + | 4.23399i | 0.127951 | + | 0.221617i | ||||
\(366\) | 23.0169 | − | 27.8385i | 1.20311 | − | 1.45514i | ||||
\(367\) | 5.69696 | − | 9.86742i | 0.297379 | − | 0.515075i | −0.678157 | − | 0.734917i | \(-0.737221\pi\) |
0.975535 | + | 0.219842i | \(0.0705543\pi\) | |||||||
\(368\) | 5.57128 | 0.290423 | ||||||||
\(369\) | −26.8035 | − | 9.31713i | −1.39533 | − | 0.485030i | ||||
\(370\) | 5.37255 | 0.279306 | ||||||||
\(371\) | −2.08780 | + | 3.61618i | −0.108393 | + | 0.187743i | ||||
\(372\) | −16.1837 | − | 2.73261i | −0.839087 | − | 0.141679i | ||||
\(373\) | −1.29760 | − | 2.24750i | −0.0671870 | − | 0.116371i | 0.830475 | − | 0.557056i | \(-0.188069\pi\) |
−0.897662 | + | 0.440685i | \(0.854736\pi\) | |||||||
\(374\) | 15.8997 | + | 27.5392i | 0.822156 | + | 1.42402i | ||||
\(375\) | 0.604199 | + | 1.62325i | 0.0312007 | + | 0.0838243i | ||||
\(376\) | −11.9907 | + | 20.7685i | −0.618373 | + | 1.07105i | ||||
\(377\) | 2.40680 | 0.123956 | ||||||||
\(378\) | −0.180470 | − | 8.28311i | −0.00928237 | − | 0.426037i | ||||
\(379\) | 2.38710 | 0.122617 | 0.0613084 | − | 0.998119i | \(-0.480473\pi\) | ||||
0.0613084 | + | 0.998119i | \(0.480473\pi\) | |||||||
\(380\) | −12.2439 | + | 21.2071i | −0.628099 | + | 1.08790i | ||||
\(381\) | −8.87502 | − | 23.8438i | −0.454681 | − | 1.22155i | ||||
\(382\) | 21.8530 | + | 37.8505i | 1.11810 | + | 1.93660i | ||||
\(383\) | 16.1363 | + | 27.9488i | 0.824525 | + | 1.42812i | 0.902282 | + | 0.431147i | \(0.141891\pi\) |
−0.0777565 | + | 0.996972i | \(0.524776\pi\) | |||||||
\(384\) | −28.6562 | − | 4.83857i | −1.46235 | − | 0.246917i | ||||
\(385\) | −0.823229 | + | 1.42587i | −0.0419556 | + | 0.0726693i | ||||
\(386\) | 11.4083 | 0.580666 | ||||||||
\(387\) | −6.72939 | − | 35.1697i | −0.342074 | − | 1.78777i | ||||
\(388\) | −9.16282 | −0.465172 | ||||||||
\(389\) | −3.75052 | + | 6.49610i | −0.190159 | + | 0.329365i | −0.945303 | − | 0.326194i | \(-0.894234\pi\) |
0.755144 | + | 0.655559i | \(0.227567\pi\) | |||||||
\(390\) | −2.49058 | + | 3.01232i | −0.126116 | + | 0.152535i | ||||
\(391\) | 27.0801 | + | 46.9040i | 1.36950 | + | 2.37204i | ||||
\(392\) | 8.01226 | + | 13.8776i | 0.404680 | + | 0.700926i | ||||
\(393\) | 10.0036 | − | 12.0992i | 0.504614 | − | 0.610322i | ||||
\(394\) | −7.16963 | + | 12.4182i | −0.361201 | + | 0.625618i | ||||
\(395\) | 11.0254 | 0.554748 | ||||||||
\(396\) | 16.3564 | − | 14.1345i | 0.821940 | − | 0.710284i | ||||
\(397\) | −22.5214 | −1.13032 | −0.565158 | − | 0.824983i | \(-0.691185\pi\) | ||||
−0.565158 | + | 0.824983i | \(0.691185\pi\) | |||||||
\(398\) | 18.9349 | − | 32.7961i | 0.949119 | − | 1.64392i | ||||
\(399\) | −9.55594 | − | 1.61351i | −0.478396 | − | 0.0807767i | ||||
\(400\) | 0.311036 | + | 0.538731i | 0.0155518 | + | 0.0269366i | ||||
\(401\) | −1.26630 | − | 2.19330i | −0.0632362 | − | 0.109528i | 0.832674 | − | 0.553763i | \(-0.186809\pi\) |
−0.895910 | + | 0.444235i | \(0.853475\pi\) | |||||||
\(402\) | 2.31034 | + | 6.20700i | 0.115229 | + | 0.309577i | ||||
\(403\) | −1.53216 | + | 2.65378i | −0.0763222 | + | 0.132194i | ||||
\(404\) | 42.2770 | 2.10336 | ||||||||
\(405\) | 8.36427 | − | 3.32249i | 0.415624 | − | 0.165096i | ||||
\(406\) | −3.83755 | −0.190454 | ||||||||
\(407\) | −2.77387 | + | 4.80449i | −0.137496 | + | 0.238150i | ||||
\(408\) | −9.00673 | − | 24.1976i | −0.445899 | − | 1.19796i | ||||
\(409\) | 3.18542 | + | 5.51731i | 0.157509 | + | 0.272814i | 0.933970 | − | 0.357352i | \(-0.116320\pi\) |
−0.776461 | + | 0.630166i | \(0.782987\pi\) | |||||||
\(410\) | −10.6726 | − | 18.4855i | −0.527081 | − | 0.912931i | ||||
\(411\) | −3.46671 | − | 0.585352i | −0.171000 | − | 0.0288733i | ||||
\(412\) | 11.0253 | − | 19.0964i | 0.543179 | − | 0.940813i | ||||
\(413\) | 2.10160 | 0.103413 | ||||||||
\(414\) | 45.8751 | − | 39.6432i | 2.25464 | − | 1.94836i | ||||
\(415\) | 0.521691 | 0.0256088 | ||||||||
\(416\) | −3.16691 | + | 5.48526i | −0.155271 | + | 0.268937i | ||||
\(417\) | 3.14899 | − | 3.80864i | 0.154207 | − | 0.186510i | ||||
\(418\) | −20.8202 | − | 36.0617i | −1.01835 | − | 1.76384i | ||||
\(419\) | −15.4679 | − | 26.7912i | −0.755657 | − | 1.30884i | −0.945047 | − | 0.326934i | \(-0.893984\pi\) |
0.189390 | − | 0.981902i | \(-0.439349\pi\) | |||||||
\(420\) | 2.41149 | − | 2.91666i | 0.117669 | − | 0.142318i | ||||
\(421\) | 6.98221 | − | 12.0935i | 0.340292 | − | 0.589403i | −0.644195 | − | 0.764861i | \(-0.722807\pi\) |
0.984487 | + | 0.175459i | \(0.0561408\pi\) | |||||||
\(422\) | −25.6422 | −1.24824 | ||||||||
\(423\) | −5.48497 | − | 28.6660i | −0.266688 | − | 1.39379i | ||||
\(424\) | 14.5675 | 0.707459 | ||||||||
\(425\) | −3.02368 | + | 5.23717i | −0.146670 | + | 0.254040i | ||||
\(426\) | −47.9592 | − | 8.09788i | −2.32363 | − | 0.392344i | ||||
\(427\) | 3.26491 | + | 5.65499i | 0.158000 | + | 0.273664i | ||||
\(428\) | 2.64050 | + | 4.57348i | 0.127633 | + | 0.221067i | ||||
\(429\) | −1.40791 | − | 3.78252i | −0.0679746 | − | 0.182622i | ||||
\(430\) | 13.4674 | − | 23.3262i | 0.649456 | − | 1.12489i | ||||
\(431\) | 20.2027 | 0.973131 | 0.486566 | − | 0.873644i | \(-0.338249\pi\) | ||||
0.486566 | + | 0.873644i | \(0.338249\pi\) | |||||||
\(432\) | 2.76346 | − | 1.67679i | 0.132957 | − | 0.0806744i | ||||
\(433\) | −13.7657 | −0.661537 | −0.330768 | − | 0.943712i | \(-0.607308\pi\) | ||||
−0.330768 | + | 0.943712i | \(0.607308\pi\) | |||||||
\(434\) | 2.44297 | − | 4.23135i | 0.117266 | − | 0.203111i | ||||
\(435\) | −1.45418 | − | 3.90684i | −0.0697228 | − | 0.187318i | ||||
\(436\) | 5.00385 | + | 8.66692i | 0.239641 | + | 0.415070i | ||||
\(437\) | −35.4605 | − | 61.4194i | −1.69631 | − | 2.93809i | ||||
\(438\) | 18.8423 | + | 3.18151i | 0.900321 | + | 0.152019i | ||||
\(439\) | −3.88378 | + | 6.72690i | −0.185363 | + | 0.321058i | −0.943699 | − | 0.330806i | \(-0.892679\pi\) |
0.758336 | + | 0.651864i | \(0.226013\pi\) | |||||||
\(440\) | 5.74402 | 0.273835 | ||||||||
\(441\) | −18.4211 | − | 6.40333i | −0.877194 | − | 0.304920i | ||||
\(442\) | −13.6466 | −0.649104 | ||||||||
\(443\) | −8.21573 | + | 14.2301i | −0.390341 | + | 0.676090i | −0.992494 | − | 0.122290i | \(-0.960976\pi\) |
0.602153 | + | 0.798380i | \(0.294310\pi\) | |||||||
\(444\) | 8.12554 | − | 9.82769i | 0.385621 | − | 0.466401i | ||||
\(445\) | 5.38042 | + | 9.31916i | 0.255056 | + | 0.441771i | ||||
\(446\) | 22.6629 | + | 39.2533i | 1.07312 | + | 1.85870i | ||||
\(447\) | −9.91350 | + | 11.9902i | −0.468892 | + | 0.567117i | ||||
\(448\) | 4.60999 | − | 7.98474i | 0.217802 | − | 0.377244i | ||||
\(449\) | 9.97715 | 0.470851 | 0.235425 | − | 0.971892i | \(-0.424352\pi\) | ||||
0.235425 | + | 0.971892i | \(0.424352\pi\) | |||||||
\(450\) | 6.39455 | + | 2.22280i | 0.301442 | + | 0.104784i | ||||
\(451\) | 22.0412 | 1.03788 | ||||||||
\(452\) | 1.04899 | − | 1.81690i | 0.0493402 | − | 0.0854598i | ||||
\(453\) | −4.70491 | − | 0.794420i | −0.221056 | − | 0.0373251i | ||||
\(454\) | 12.8044 | + | 22.1778i | 0.600938 | + | 1.04086i | ||||
\(455\) | −0.353285 | − | 0.611908i | −0.0165623 | − | 0.0286867i | ||||
\(456\) | 11.7940 | + | 31.6860i | 0.552306 | + | 1.48384i | ||||
\(457\) | 8.67799 | − | 15.0307i | 0.405939 | − | 0.703108i | −0.588491 | − | 0.808504i | \(-0.700278\pi\) |
0.994430 | + | 0.105396i | \(0.0336111\pi\) | |||||||
\(458\) | −8.30743 | −0.388181 | ||||||||
\(459\) | 27.5489 | + | 15.1150i | 1.28587 | + | 0.705508i | ||||
\(460\) | 27.6950 | 1.29129 | ||||||||
\(461\) | 5.29646 | − | 9.17373i | 0.246681 | − | 0.427263i | −0.715922 | − | 0.698180i | \(-0.753994\pi\) |
0.962603 | + | 0.270917i | \(0.0873268\pi\) | |||||||
\(462\) | 2.24486 | + | 6.03108i | 0.104440 | + | 0.280591i | ||||
\(463\) | 1.80372 | + | 3.12414i | 0.0838260 | + | 0.145191i | 0.904890 | − | 0.425645i | \(-0.139953\pi\) |
−0.821064 | + | 0.570836i | \(0.806619\pi\) | |||||||
\(464\) | −0.748602 | − | 1.29662i | −0.0347530 | − | 0.0601939i | ||||
\(465\) | 5.23347 | + | 0.883668i | 0.242696 | + | 0.0409791i | ||||
\(466\) | −14.1362 | + | 24.4846i | −0.654847 | + | 1.13423i | ||||
\(467\) | 6.96611 | 0.322353 | 0.161177 | − | 0.986926i | \(-0.448471\pi\) | ||||
0.161177 | + | 0.986926i | \(0.448471\pi\) | |||||||
\(468\) | 1.74345 | + | 9.11175i | 0.0805910 | + | 0.421191i | ||||
\(469\) | −1.19727 | −0.0552849 | ||||||||
\(470\) | 10.9770 | − | 19.0127i | 0.506330 | − | 0.876989i | ||||
\(471\) | −27.0385 | + | 32.7026i | −1.24587 | + | 1.50686i | ||||
\(472\) | −3.66594 | − | 6.34960i | −0.168739 | − | 0.292264i | ||||
\(473\) | 13.9066 | + | 24.0869i | 0.639425 | + | 1.10752i | ||||
\(474\) | 27.4597 | − | 33.2120i | 1.26126 | − | 1.52548i | ||||
\(475\) | 3.95942 | − | 6.85792i | 0.181671 | − | 0.314663i | ||||
\(476\) | 13.2133 | 0.605629 | ||||||||
\(477\) | −13.4143 | + | 11.5920i | −0.614198 | + | 0.530763i | ||||
\(478\) | 7.51200 | 0.343591 | ||||||||
\(479\) | 11.0303 | − | 19.1050i | 0.503987 | − | 0.872932i | −0.496002 | − | 0.868321i | \(-0.665199\pi\) |
0.999989 | − | 0.00461038i | \(-0.00146754\pi\) | |||||||
\(480\) | 10.8174 | + | 1.82651i | 0.493744 | + | 0.0833683i | ||||
\(481\) | −1.19040 | − | 2.06183i | −0.0542774 | − | 0.0940112i | ||||
\(482\) | 30.2205 | + | 52.3434i | 1.37651 | + | 2.38418i | ||||
\(483\) | 3.82340 | + | 10.2720i | 0.173971 | + | 0.467392i | ||||
\(484\) | 8.61238 | − | 14.9171i | 0.391472 | − | 0.678049i | ||||
\(485\) | 2.96306 | 0.134546 | ||||||||
\(486\) | 10.8235 | − | 33.4708i | 0.490965 | − | 1.51827i | ||||
\(487\) | −5.19759 | −0.235525 | −0.117763 | − | 0.993042i | \(-0.537572\pi\) | ||||
−0.117763 | + | 0.993042i | \(0.537572\pi\) | |||||||
\(488\) | 11.3903 | − | 19.7286i | 0.515616 | − | 0.893073i | ||||
\(489\) | 11.0260 | + | 29.6226i | 0.498613 | + | 1.33958i | ||||
\(490\) | −7.33488 | − | 12.7044i | −0.331356 | − | 0.573926i | ||||
\(491\) | 1.11828 | + | 1.93692i | 0.0504675 | + | 0.0874122i | 0.890156 | − | 0.455657i | \(-0.150596\pi\) |
−0.839688 | + | 0.543069i | \(0.817262\pi\) | |||||||
\(492\) | −49.9557 | − | 8.43499i | −2.25218 | − | 0.380279i | ||||
\(493\) | 7.27739 | − | 12.6048i | 0.327757 | − | 0.567692i | ||||
\(494\) | 17.8698 | 0.804002 | ||||||||
\(495\) | −5.28931 | + | 4.57079i | −0.237737 | + | 0.205442i | ||||
\(496\) | 1.90623 | 0.0855922 | ||||||||
\(497\) | 4.39625 | − | 7.61453i | 0.197199 | − | 0.341558i | ||||
\(498\) | 1.29931 | − | 1.57150i | 0.0582236 | − | 0.0704205i | ||||
\(499\) | 10.6446 | + | 18.4370i | 0.476519 | + | 0.825356i | 0.999638 | − | 0.0269043i | \(-0.00856493\pi\) |
−0.523119 | + | 0.852260i | \(0.675232\pi\) | |||||||
\(500\) | 1.54617 | + | 2.67805i | 0.0691470 | + | 0.119766i | ||||
\(501\) | −6.18204 | + | 7.47706i | −0.276193 | + | 0.334051i | ||||
\(502\) | 6.83439 | − | 11.8375i | 0.305034 | − | 0.528334i | ||||
\(503\) | −33.5371 | −1.49534 | −0.747672 | − | 0.664068i | \(-0.768829\pi\) | ||||
−0.747672 | + | 0.664068i | \(0.768829\pi\) | |||||||
\(504\) | −0.981968 | − | 5.13204i | −0.0437403 | − | 0.228599i | ||||
\(505\) | −13.6715 | −0.608372 | ||||||||
\(506\) | −23.5471 | + | 40.7848i | −1.04680 | + | 1.81311i | ||||
\(507\) | 1.70788 | + | 0.288374i | 0.0758494 | + | 0.0128071i | ||||
\(508\) | −22.7116 | − | 39.3376i | −1.00766 | − | 1.74533i | ||||
\(509\) | 1.53741 | + | 2.66287i | 0.0681444 | + | 0.118030i | 0.898085 | − | 0.439823i | \(-0.144959\pi\) |
−0.829940 | + | 0.557853i | \(0.811625\pi\) | |||||||
\(510\) | 8.24528 | + | 22.1519i | 0.365107 | + | 0.980902i | ||||
\(511\) | −1.72721 | + | 2.99161i | −0.0764072 | + | 0.132341i | ||||
\(512\) | 7.00695 | 0.309666 | ||||||||
\(513\) | −36.0745 | − | 19.7927i | −1.59273 | − | 0.873867i | ||||
\(514\) | −8.91975 | −0.393433 | ||||||||
\(515\) | −3.56535 | + | 6.17537i | −0.157108 | + | 0.272119i | ||||
\(516\) | −22.3010 | − | 59.9141i | −0.981745 | − | 2.63757i | ||||
\(517\) | 11.3349 | + | 19.6327i | 0.498509 | + | 0.863443i | ||||
\(518\) | 1.89804 | + | 3.28751i | 0.0833953 | + | 0.144445i | ||||
\(519\) | −6.15279 | − | 1.03889i | −0.270077 | − | 0.0456024i | ||||
\(520\) | −1.23251 | + | 2.13477i | −0.0540492 | + | 0.0936159i | ||||
\(521\) | 32.8855 | 1.44074 | 0.720371 | − | 0.693589i | \(-0.243972\pi\) | ||||
0.720371 | + | 0.693589i | \(0.243972\pi\) | |||||||
\(522\) | −15.3904 | − | 5.34984i | −0.673619 | − | 0.234156i | ||||
\(523\) | 19.0090 | 0.831206 | 0.415603 | − | 0.909546i | \(-0.363571\pi\) | ||||
0.415603 | + | 0.909546i | \(0.363571\pi\) | |||||||
\(524\) | 14.0143 | − | 24.2735i | 0.612219 | − | 1.06039i | ||||
\(525\) | −0.779826 | + | 0.943185i | −0.0340344 | + | 0.0411640i | ||||
\(526\) | −12.7512 | − | 22.0858i | −0.555979 | − | 0.962985i | ||||
\(527\) | 9.26552 | + | 16.0483i | 0.403612 | + | 0.699077i | ||||
\(528\) | −1.59985 | + | 1.93499i | −0.0696244 | + | 0.0842094i | ||||
\(529\) | −28.6049 | + | 49.5451i | −1.24369 | + | 2.15413i | ||||
\(530\) | −13.3359 | −0.579275 | ||||||||
\(531\) | 8.42842 | + | 2.92979i | 0.365762 | + | 0.127142i | ||||
\(532\) | −17.3024 | −0.750153 | ||||||||
\(533\) | −4.72945 | + | 8.19164i | −0.204855 | + | 0.354819i | ||||
\(534\) | 41.4726 | + | 7.00262i | 1.79470 | + | 0.303033i | ||||
\(535\) | −0.853881 | − | 1.47896i | −0.0369165 | − | 0.0639412i | ||||
\(536\) | 2.08847 | + | 3.61733i | 0.0902081 | + | 0.156245i | ||||
\(537\) | −9.25166 | − | 24.8556i | −0.399238 | − | 1.07260i | ||||
\(538\) | 23.4433 | − | 40.6049i | 1.01071 | − | 1.75060i | ||||
\(539\) | 15.1481 | 0.652476 | ||||||||
\(540\) | 13.7373 | − | 8.33537i | 0.591158 | − | 0.358697i | ||||
\(541\) | −13.4399 | −0.577825 | −0.288912 | − | 0.957356i | \(-0.593294\pi\) | ||||
−0.288912 | + | 0.957356i | \(0.593294\pi\) | |||||||
\(542\) | 1.94710 | − | 3.37247i | 0.0836351 | − | 0.144860i | ||||
\(543\) | 4.37279 | + | 11.7480i | 0.187655 | + | 0.504156i | ||||
\(544\) | 19.1515 | + | 33.1713i | 0.821113 | + | 1.42221i | ||||
\(545\) | −1.61814 | − | 2.80270i | −0.0693134 | − | 0.120054i | ||||
\(546\) | −2.72315 | − | 0.459801i | −0.116540 | − | 0.0196777i | ||||
\(547\) | −5.66269 | + | 9.80807i | −0.242119 | + | 0.419363i | −0.961318 | − | 0.275442i | \(-0.911176\pi\) |
0.719198 | + | 0.694805i | \(0.244509\pi\) | |||||||
\(548\) | −6.27697 | −0.268139 | ||||||||
\(549\) | 5.21034 | + | 27.2307i | 0.222372 | + | 1.16218i | ||||
\(550\) | −5.25841 | −0.224219 | ||||||||
\(551\) | −9.52952 | + | 16.5056i | −0.405971 | + | 0.703163i | ||||
\(552\) | 24.3656 | − | 29.4697i | 1.03707 | − | 1.25431i | ||||
\(553\) | 3.89511 | + | 6.74653i | 0.165637 | + | 0.286892i | ||||
\(554\) | 3.91210 | + | 6.77596i | 0.166209 | + | 0.287883i | ||||
\(555\) | −2.62763 | + | 3.17807i | −0.111536 | + | 0.134901i | ||||
\(556\) | 4.41151 | − | 7.64096i | 0.187090 | − | 0.324049i | ||||
\(557\) | 4.71355 | 0.199720 | 0.0998598 | − | 0.995002i | \(-0.468161\pi\) | ||||
0.0998598 | + | 0.995002i | \(0.468161\pi\) | |||||||
\(558\) | 15.6963 | − | 13.5640i | 0.664477 | − | 0.574211i | ||||
\(559\) | −11.9359 | −0.504835 | ||||||||
\(560\) | −0.219769 | + | 0.380652i | −0.00928695 | + | 0.0160855i | ||||
\(561\) | −24.0668 | − | 4.06365i | −1.01610 | − | 0.171568i | ||||
\(562\) | −1.32309 | − | 2.29167i | −0.0558114 | − | 0.0966681i | ||||
\(563\) | −17.6579 | − | 30.5844i | −0.744193 | − | 1.28898i | −0.950571 | − | 0.310508i | \(-0.899501\pi\) |
0.206377 | − | 0.978473i | \(-0.433833\pi\) | |||||||
\(564\) | −18.1770 | − | 48.8346i | −0.765390 | − | 2.05631i | ||||
\(565\) | −0.339220 | + | 0.587547i | −0.0142711 | + | 0.0247183i | ||||
\(566\) | 49.2220 | 2.06895 | ||||||||
\(567\) | 4.98804 | + | 3.94438i | 0.209478 | + | 0.165648i | ||||
\(568\) | −30.6745 | −1.28707 | ||||||||
\(569\) | 13.2680 | − | 22.9808i | 0.556222 | − | 0.963404i | −0.441586 | − | 0.897219i | \(-0.645584\pi\) |
0.997807 | − | 0.0661850i | \(-0.0210827\pi\) | |||||||
\(570\) | −10.7969 | − | 29.0072i | −0.452234 | − | 1.21498i | ||||
\(571\) | 16.8771 | + | 29.2320i | 0.706284 | + | 1.22332i | 0.966226 | + | 0.257696i | \(0.0829632\pi\) |
−0.259942 | + | 0.965624i | \(0.583703\pi\) | |||||||
\(572\) | −3.60291 | − | 6.24043i | −0.150645 | − | 0.260925i | ||||
\(573\) | −33.0779 | − | 5.58518i | −1.38185 | − | 0.233324i | ||||
\(574\) | 7.54093 | − | 13.0613i | 0.314752 | − | 0.545167i | ||||
\(575\) | −8.95599 | −0.373491 | ||||||||
\(576\) | 29.6196 | − | 25.5959i | 1.23415 | − | 1.06650i | ||||
\(577\) | −30.7531 | −1.28027 | −0.640133 | − | 0.768264i | \(-0.721121\pi\) | ||||
−0.640133 | + | 0.768264i | \(0.721121\pi\) | |||||||
\(578\) | −22.0817 | + | 38.2467i | −0.918480 | + | 1.59085i | ||||
\(579\) | −5.57959 | + | 6.74842i | −0.231880 | + | 0.280455i | ||||
\(580\) | −3.72133 | − | 6.44553i | −0.154520 | − | 0.267636i | ||||
\(581\) | 0.184306 | + | 0.319227i | 0.00764629 | + | 0.0132438i | ||||
\(582\) | 7.37975 | − | 8.92567i | 0.305900 | − | 0.369981i | ||||
\(583\) | 6.88539 | − | 11.9259i | 0.285164 | − | 0.493918i | ||||
\(584\) | 12.0515 | 0.498693 | ||||||||
\(585\) | −0.563795 | − | 2.94655i | −0.0233100 | − | 0.121825i | ||||
\(586\) | −62.9416 | −2.60009 | ||||||||
\(587\) | −2.61862 | + | 4.53559i | −0.108082 | + | 0.187204i | −0.914993 | − | 0.403469i | \(-0.867804\pi\) |
0.806911 | + | 0.590673i | \(0.201138\pi\) | |||||||
\(588\) | −34.3328 | − | 5.79706i | −1.41586 | − | 0.239067i | ||||
\(589\) | −12.1329 | − | 21.0148i | −0.499928 | − | 0.865901i | ||||
\(590\) | 3.35602 | + | 5.81279i | 0.138165 | + | 0.239309i | ||||
\(591\) | −3.83926 | − | 10.3146i | −0.157926 | − | 0.424287i | ||||
\(592\) | −0.740513 | + | 1.28261i | −0.0304349 | + | 0.0527148i | ||||
\(593\) | 15.8490 | 0.650839 | 0.325420 | − | 0.945570i | \(-0.394494\pi\) | ||||
0.325420 | + | 0.945570i | \(0.394494\pi\) | |||||||
\(594\) | 0.595174 | + | 27.3170i | 0.0244203 | + | 1.12083i | ||||
\(595\) | −4.27289 | −0.175171 | ||||||||
\(596\) | −13.8881 | + | 24.0549i | −0.568880 | + | 0.985329i | ||||
\(597\) | 10.1394 | + | 27.2407i | 0.414979 | + | 1.11489i | ||||
\(598\) | −10.1051 | − | 17.5026i | −0.413230 | − | 0.715736i | ||||
\(599\) | −13.1618 | − | 22.7969i | −0.537775 | − | 0.931454i | −0.999023 | − | 0.0441829i | \(-0.985932\pi\) |
0.461248 | − | 0.887271i | \(-0.347402\pi\) | |||||||
\(600\) | 4.20995 | + | 0.710847i | 0.171871 | + | 0.0290202i | ||||
\(601\) | −0.901862 | + | 1.56207i | −0.0367877 | + | 0.0637182i | −0.883833 | − | 0.467802i | \(-0.845046\pi\) |
0.847045 | + | 0.531521i | \(0.178379\pi\) | |||||||
\(602\) | 19.0314 | 0.775660 | ||||||||
\(603\) | −4.80162 | − | 1.66909i | −0.195537 | − | 0.0679705i | ||||
\(604\) | −8.51889 | −0.346629 | ||||||||
\(605\) | −2.78506 | + | 4.82387i | −0.113229 | + | 0.196118i | ||||
\(606\) | −34.0499 | + | 41.1828i | −1.38318 | + | 1.67294i | ||||
\(607\) | −6.26933 | − | 10.8588i | −0.254464 | − | 0.440745i | 0.710286 | − | 0.703914i | \(-0.248566\pi\) |
−0.964750 | + | 0.263168i | \(0.915232\pi\) | |||||||
\(608\) | −25.0783 | − | 43.4369i | −1.01706 | − | 1.76160i | ||||
\(609\) | 1.87688 | − | 2.27006i | 0.0760551 | − | 0.0919873i | ||||
\(610\) | −10.4274 | + | 18.0607i | −0.422192 | + | 0.731257i | ||||
\(611\) | −9.72867 | −0.393580 | ||||||||
\(612\) | 52.9914 | + | 18.4203i | 2.14205 | + | 0.744596i | ||||
\(613\) | 9.01785 | 0.364228 | 0.182114 | − | 0.983277i | \(-0.441706\pi\) | ||||
0.182114 | + | 0.983277i | \(0.441706\pi\) | |||||||
\(614\) | 0.648023 | − | 1.12241i | 0.0261521 | − | 0.0452968i | ||||
\(615\) | 16.1546 | + | 2.72770i | 0.651417 | + | 0.109991i | ||||
\(616\) | 2.02928 | + | 3.51481i | 0.0817619 | + | 0.141616i | ||||
\(617\) | −7.34095 | − | 12.7149i | −0.295536 | − | 0.511883i | 0.679574 | − | 0.733607i | \(-0.262165\pi\) |
−0.975109 | + | 0.221725i | \(0.928831\pi\) | |||||||
\(618\) | 9.72236 | + | 26.1203i | 0.391091 | + | 1.05071i | ||||
\(619\) | 20.8355 | − | 36.0881i | 0.837448 | − | 1.45050i | −0.0545741 | − | 0.998510i | \(-0.517380\pi\) |
0.892022 | − | 0.451992i | \(-0.149287\pi\) | |||||||
\(620\) | 9.47594 | 0.380563 | ||||||||
\(621\) | 1.01369 | + | 46.5256i | 0.0406778 | + | 1.86701i | ||||
\(622\) | 52.1441 | 2.09079 | ||||||||
\(623\) | −3.80165 | + | 6.58465i | −0.152310 | + | 0.263808i | ||||
\(624\) | −0.375856 | − | 1.00978i | −0.0150463 | − | 0.0404236i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −28.7555 | − | 49.8060i | −1.14930 | − | 1.99065i | ||||
\(627\) | 31.5147 | + | 5.32123i | 1.25858 | + | 0.212510i | ||||
\(628\) | −37.8791 | + | 65.6086i | −1.51154 | + | 2.61807i | ||||
\(629\) | −14.3975 | −0.574067 | ||||||||
\(630\) | 0.898950 | + | 4.69816i | 0.0358150 | + | 0.187179i | ||||
\(631\) | −19.8681 | −0.790936 | −0.395468 | − | 0.918480i | \(-0.629418\pi\) | ||||
−0.395468 | + | 0.918480i | \(0.629418\pi\) | |||||||
\(632\) | 13.5889 | − | 23.5367i | 0.540538 | − | 0.936239i | ||||
\(633\) | 12.5412 | − | 15.1683i | 0.498468 | − | 0.602888i | ||||
\(634\) | −36.5073 | − | 63.2325i | −1.44989 | − | 2.51128i | ||||
\(635\) | 7.34445 | + | 12.7210i | 0.291456 | + | 0.504816i | ||||
\(636\) | −20.1695 | + | 24.3946i | −0.799771 | + | 0.967309i | ||||
\(637\) | −3.25038 | + | 5.62982i | −0.128785 | + | 0.223062i | ||||
\(638\) | 12.6559 | 0.501053 | ||||||||
\(639\) | 28.2463 | − | 24.4091i | 1.11740 | − | 0.965611i | ||||
\(640\) | 16.7788 | 0.663242 | ||||||||
\(641\) | −11.1576 | + | 19.3256i | −0.440700 | + | 0.763315i | −0.997742 | − | 0.0671694i | \(-0.978603\pi\) |
0.557041 | + | 0.830485i | \(0.311937\pi\) | |||||||
\(642\) | −6.58177 | − | 1.11133i | −0.259762 | − | 0.0438606i | ||||
\(643\) | −7.72222 | − | 13.3753i | −0.304535 | − | 0.527470i | 0.672623 | − | 0.739985i | \(-0.265168\pi\) |
−0.977158 | + | 0.212516i | \(0.931834\pi\) | |||||||
\(644\) | 9.78426 | + | 16.9468i | 0.385554 | + | 0.667799i | ||||
\(645\) | 7.21166 | + | 19.3749i | 0.283959 | + | 0.762888i | ||||
\(646\) | 54.0327 | − | 93.5874i | 2.12589 | − | 3.68215i | ||||
\(647\) | −25.0635 | −0.985349 | −0.492675 | − | 0.870214i | \(-0.663981\pi\) | ||||
−0.492675 | + | 0.870214i | \(0.663981\pi\) | |||||||
\(648\) | 3.21629 | − | 21.9508i | 0.126348 | − | 0.862310i | ||||
\(649\) | −6.93091 | −0.272062 | ||||||||
\(650\) | 1.12831 | − | 1.95429i | 0.0442560 | − | 0.0766537i | ||||
\(651\) | 1.30819 | + | 3.51459i | 0.0512718 | + | 0.137748i | ||||
\(652\) | 28.2161 | + | 48.8716i | 1.10503 | + | 1.91396i | ||||
\(653\) | 1.49244 | + | 2.58498i | 0.0584036 | + | 0.101158i | 0.893749 | − | 0.448568i | \(-0.148066\pi\) |
−0.835345 | + | 0.549726i | \(0.814732\pi\) | |||||||
\(654\) | −12.4727 | − | 2.10601i | −0.487722 | − | 0.0823514i | ||||
\(655\) | −4.53194 | + | 7.84955i | −0.177077 | + | 0.306707i | ||||
\(656\) | 5.88412 | 0.229736 | ||||||||
\(657\) | −11.0974 | + | 9.58992i | −0.432953 | + | 0.374138i | ||||
\(658\) | 15.5120 | 0.604721 | ||||||||
\(659\) | 18.7165 | − | 32.4180i | 0.729092 | − | 1.26282i | −0.228175 | − | 0.973620i | \(-0.573276\pi\) |
0.957267 | − | 0.289204i | \(-0.0933907\pi\) | |||||||
\(660\) | −7.95290 | + | 9.61889i | −0.309566 | + | 0.374415i | ||||
\(661\) | −7.68631 | − | 13.3131i | −0.298963 | − | 0.517819i | 0.676936 | − | 0.736042i | \(-0.263307\pi\) |
−0.975899 | + | 0.218223i | \(0.929974\pi\) | |||||||
\(662\) | −34.0407 | − | 58.9602i | −1.32303 | − | 2.29155i | ||||
\(663\) | 6.67434 | − | 8.07249i | 0.259210 | − | 0.313509i | ||||
\(664\) | 0.642989 | − | 1.11369i | 0.0249528 | − | 0.0432196i | ||||
\(665\) | 5.59522 | 0.216973 | ||||||||
\(666\) | 3.02902 | + | 15.8305i | 0.117372 | + | 0.613418i | ||||
\(667\) | 21.5552 | 0.834622 | ||||||||
\(668\) | −8.66061 | + | 15.0006i | −0.335089 | + | 0.580391i | ||||
\(669\) | −34.3039 | − | 5.79218i | −1.32626 | − | 0.223939i | ||||
\(670\) | −1.91190 | − | 3.31152i | −0.0738633 | − | 0.127935i | ||||
\(671\) | −10.7674 | − | 18.6497i | −0.415670 | − | 0.719962i | ||||
\(672\) | 2.70397 | + | 7.26453i | 0.104308 | + | 0.280235i | ||||
\(673\) | 0.271779 | − | 0.470734i | 0.0104763 | − | 0.0181455i | −0.860740 | − | 0.509045i | \(-0.829999\pi\) |
0.871216 | + | 0.490900i | \(0.163332\pi\) | |||||||
\(674\) | 14.8449 | 0.571805 | ||||||||
\(675\) | −4.44234 | + | 2.69548i | −0.170986 | + | 0.103749i | ||||
\(676\) | 3.09235 | 0.118937 | ||||||||
\(677\) | 10.0293 | − | 17.3713i | 0.385458 | − | 0.667633i | −0.606374 | − | 0.795179i | \(-0.707377\pi\) |
0.991833 | + | 0.127546i | \(0.0407100\pi\) | |||||||
\(678\) | 0.925020 | + | 2.48517i | 0.0355252 | + | 0.0954425i | ||||
\(679\) | 1.04681 | + | 1.81312i | 0.0401727 | + | 0.0695812i | ||||
\(680\) | 7.45344 | + | 12.9097i | 0.285826 | + | 0.495066i | ||||
\(681\) | −19.3814 | − | 3.27253i | −0.742697 | − | 0.125404i | ||||
\(682\) | −8.05671 | + | 13.9546i | −0.308507 | + | 0.534350i | ||||
\(683\) | 35.5213 | 1.35919 | 0.679593 | − | 0.733589i | \(-0.262156\pi\) | ||||
0.679593 | + | 0.733589i | \(0.262156\pi\) | |||||||
\(684\) | −69.3907 | − | 24.1208i | −2.65322 | − | 0.922283i | ||||
\(685\) | 2.02984 | 0.0775561 | ||||||||
\(686\) | 10.7632 | − | 18.6425i | 0.410942 | − | 0.711773i | ||||
\(687\) | 4.06303 | − | 4.91416i | 0.155014 | − | 0.187487i | ||||
\(688\) | 3.71250 | + | 6.43024i | 0.141538 | + | 0.245150i | ||||
\(689\) | 2.95484 | + | 5.11793i | 0.112570 | + | 0.194978i | ||||
\(690\) | −22.3056 | + | 26.9783i | −0.849161 | + | 1.02704i | ||||
\(691\) | 25.6756 | − | 44.4714i | 0.976746 | − | 1.69177i | 0.302697 | − | 0.953087i | \(-0.402113\pi\) |
0.674049 | − | 0.738686i | \(-0.264554\pi\) | |||||||
\(692\) | −11.1405 | −0.423498 | ||||||||
\(693\) | −4.66554 | − | 1.62178i | −0.177229 | − | 0.0616064i | ||||
\(694\) | −4.53724 | −0.172231 | ||||||||
\(695\) | −1.42659 | + | 2.47092i | −0.0541136 | + | 0.0937275i | ||||
\(696\) | −10.1325 | − | 1.71086i | −0.384071 | − | 0.0648502i | ||||
\(697\) | 28.6007 | + | 49.5378i | 1.08333 | + | 1.87638i | ||||
\(698\) | −15.8007 | − | 27.3677i | −0.598067 | − | 1.03588i | ||||
\(699\) | −7.56979 | − | 20.3371i | −0.286316 | − | 0.769220i | ||||
\(700\) | −1.09248 | + | 1.89223i | −0.0412919 | + | 0.0715197i | ||||
\(701\) | 26.2661 | 0.992057 | 0.496029 | − | 0.868306i | \(-0.334791\pi\) | ||||
0.496029 | + | 0.868306i | \(0.334791\pi\) | |||||||
\(702\) | −10.2801 | − | 5.64029i | −0.387998 | − | 0.212879i | ||||
\(703\) | 18.8531 | 0.711059 | ||||||||
\(704\) | −15.2034 | + | 26.3330i | −0.572998 | + | 0.992462i | ||||
\(705\) | 5.87805 | + | 15.7921i | 0.221380 | + | 0.594764i | ||||
\(706\) | −39.0393 | − | 67.6181i | −1.46927 | − | 2.54484i | ||||
\(707\) | −4.82993 | − | 8.36568i | −0.181648 | − | 0.314624i | ||||
\(708\) | 15.7087 | + | 2.65240i | 0.590369 | + | 0.0996833i | ||||
\(709\) | 12.8681 | − | 22.2882i | 0.483273 | − | 0.837053i | −0.516543 | − | 0.856261i | \(-0.672781\pi\) |
0.999815 | + | 0.0192087i | \(0.00611468\pi\) | |||||||
\(710\) | 28.0812 | 1.05387 | ||||||||
\(711\) | 6.21606 | + | 32.4868i | 0.233120 | + | 1.21835i | ||||
\(712\) | 26.5257 | 0.994093 | ||||||||
\(713\) | −13.7220 | + | 23.7672i | −0.513892 | + | 0.890088i | ||||
\(714\) | −10.6420 | + | 12.8713i | −0.398266 | + | 0.481696i | ||||
\(715\) | 1.16510 | + | 2.01802i | 0.0435725 | + | 0.0754697i | ||||
\(716\) | −23.6754 | − | 41.0071i | −0.884793 | − | 1.53251i | ||||
\(717\) | −3.67400 | + | 4.44363i | −0.137208 | + | 0.165950i | ||||
\(718\) | −25.6893 | + | 44.4952i | −0.958717 | + | 1.66055i | ||||
\(719\) | −21.6829 | −0.808634 | −0.404317 | − | 0.914619i | \(-0.632491\pi\) | ||||
−0.404317 | + | 0.914619i | \(0.632491\pi\) | |||||||
\(720\) | −1.41204 | + | 1.22022i | −0.0526234 | + | 0.0454748i | ||||
\(721\) | −5.03835 | −0.187638 | ||||||||
\(722\) | −49.3163 | + | 85.4183i | −1.83536 | + | 3.17894i | ||||
\(723\) | −45.7434 | − | 7.72375i | −1.70122 | − | 0.287249i | ||||
\(724\) | 11.1902 | + | 19.3820i | 0.415880 | + | 0.720326i | ||||
\(725\) | 1.20340 | + | 2.08435i | 0.0446931 | + | 0.0774107i | ||||
\(726\) | 7.59458 | + | 20.4037i | 0.281861 | + | 0.757253i | ||||
\(727\) | 24.6644 | − | 42.7200i | 0.914752 | − | 1.58440i | 0.107488 | − | 0.994206i | \(-0.465719\pi\) |
0.807264 | − | 0.590190i | \(-0.200947\pi\) | |||||||
\(728\) | −1.74171 | −0.0645522 | ||||||||
\(729\) | 14.5056 | + | 22.7725i | 0.537245 | + | 0.843426i | ||||
\(730\) | −11.0326 | −0.408335 | ||||||||
\(731\) | −36.0903 | + | 62.5103i | −1.33485 | + | 2.31203i | ||||
\(732\) | 17.2669 | + | 46.3895i | 0.638203 | + | 1.71460i | ||||
\(733\) | −13.0583 | − | 22.6176i | −0.482318 | − | 0.835399i | 0.517476 | − | 0.855698i | \(-0.326872\pi\) |
−0.999794 | + | 0.0202985i | \(0.993538\pi\) | |||||||
\(734\) | 12.8559 | + | 22.2671i | 0.474520 | + | 0.821892i | ||||
\(735\) | 11.1025 | + | 1.87465i | 0.409521 | + | 0.0691474i | ||||
\(736\) | −28.3628 | + | 49.1259i | −1.04547 | + | 1.81080i | ||||
\(737\) | 3.94850 | 0.145445 | ||||||||
\(738\) | 48.4511 | − | 41.8693i | 1.78351 | − | 1.54123i | ||||
\(739\) | −20.3143 | −0.747275 | −0.373637 | − | 0.927575i | \(-0.621890\pi\) | ||||
−0.373637 | + | 0.927575i | \(0.621890\pi\) | |||||||
\(740\) | −3.68112 | + | 6.37589i | −0.135321 | + | 0.234382i | ||||
\(741\) | −8.73984 | + | 10.5707i | −0.321066 | + | 0.388324i | ||||
\(742\) | −4.71138 | − | 8.16036i | −0.172960 | − | 0.299576i | ||||
\(743\) | −4.73644 | − | 8.20375i | −0.173763 | − | 0.300966i | 0.765969 | − | 0.642877i | \(-0.222259\pi\) |
−0.939733 | + | 0.341911i | \(0.888926\pi\) | |||||||
\(744\) | 8.33674 | − | 10.0831i | 0.305640 | − | 0.369666i | ||||
\(745\) | 4.49112 | − | 7.77885i | 0.164542 | − | 0.284995i | ||||
\(746\) | 5.85637 | 0.214417 | ||||||||
\(747\) | 0.294126 | + | 1.53719i | 0.0107615 | + | 0.0562427i | ||||
\(748\) | −43.5762 | −1.59330 | ||||||||
\(749\) | 0.603327 | − | 1.04499i | 0.0220451 | − | 0.0381832i | ||||
\(750\) | −3.85403 | − | 0.650751i | −0.140729 | − | 0.0237621i | ||||
\(751\) | 3.02922 | + | 5.24676i | 0.110538 | + | 0.191457i | 0.915987 | − | 0.401207i | \(-0.131409\pi\) |
−0.805449 | + | 0.592664i | \(0.798076\pi\) | |||||||
\(752\) | 3.02597 | + | 5.24114i | 0.110346 | + | 0.191125i | ||||
\(753\) | 3.65975 | + | 9.83233i | 0.133369 | + | 0.358310i | ||||
\(754\) | −2.71562 | + | 4.70359i | −0.0988970 | + | 0.171295i | ||||
\(755\) | 2.75483 | 0.100258 | ||||||||
\(756\) | 9.95366 | + | 5.46118i | 0.362011 | + | 0.198621i | ||||
\(757\) | 19.3009 | 0.701503 | 0.350752 | − | 0.936469i | \(-0.385926\pi\) | ||||
0.350752 | + | 0.936469i | \(0.385926\pi\) | |||||||
\(758\) | −2.69339 | + | 4.66509i | −0.0978283 | + | 0.169444i | ||||
\(759\) | −12.6092 | − | 33.8762i | −0.457686 | − | 1.22963i | ||||
\(760\) | −9.76006 | − | 16.9049i | −0.354035 | − | 0.613206i | ||||
\(761\) | 15.7544 | + | 27.2873i | 0.571095 | + | 0.989165i | 0.996454 | + | 0.0841405i | \(0.0268145\pi\) |
−0.425359 | + | 0.905025i | \(0.639852\pi\) | |||||||
\(762\) | 56.6115 | + | 9.55881i | 2.05082 | + | 0.346279i | ||||
\(763\) | 1.14333 | − | 1.98030i | 0.0413913 | − | 0.0716918i | ||||
\(764\) | −59.8922 | −2.16682 | ||||||||
\(765\) | −17.1363 | − | 5.95673i | −0.619564 | − | 0.215366i | ||||
\(766\) | −72.8270 | −2.63135 | ||||||||
\(767\) | 1.48719 | − | 2.57588i | 0.0536992 | − | 0.0930097i | ||||
\(768\) | 12.9855 | − | 15.7058i | 0.468575 | − | 0.566733i | ||||
\(769\) | −4.65962 | − | 8.07070i | −0.168030 | − | 0.291037i | 0.769697 | − | 0.638409i | \(-0.220407\pi\) |
−0.937727 | + | 0.347373i | \(0.887074\pi\) | |||||||
\(770\) | −1.85772 | − | 3.21766i | −0.0669475 | − | 0.115956i | ||||
\(771\) | 4.36250 | − | 5.27637i | 0.157112 | − | 0.190024i | ||||
\(772\) | −7.81662 | + | 13.5388i | −0.281326 | + | 0.487272i | ||||
\(773\) | 24.3144 | 0.874529 | 0.437265 | − | 0.899333i | \(-0.355947\pi\) | ||||
0.437265 | + | 0.899333i | \(0.355947\pi\) | |||||||
\(774\) | 76.3247 | + | 26.5311i | 2.74343 | + | 0.953642i | ||||
\(775\) | −3.06432 | −0.110073 | ||||||||
\(776\) | 3.65200 | − | 6.32546i | 0.131099 | − | 0.227071i | ||||
\(777\) | −2.87299 | − | 0.485101i | −0.103068 | − | 0.0174029i | ||||
\(778\) | −8.46352 | − | 14.6592i | −0.303432 | − | 0.525560i | ||||
\(779\) | −37.4517 | − | 64.8683i | −1.34185 | − | 2.32415i | ||||
\(780\) | −1.86840 | − | 5.01966i | −0.0668993 | − | 0.179733i | ||||
\(781\) | −14.4985 | + | 25.1121i | −0.518796 | + | 0.898580i | ||||
\(782\) | −122.219 | −4.37054 | ||||||||
\(783\) | 10.6918 | − | 6.48748i | 0.382094 | − | 0.231843i | ||||
\(784\) | 4.04395 | 0.144427 | ||||||||
\(785\) | 12.2493 | − | 21.2164i | 0.437196 | − | 0.757246i | ||||
\(786\) | 12.3581 | + | 33.2016i | 0.440800 | + | 1.18426i | ||||
\(787\) | 21.4150 | + | 37.0919i | 0.763362 | + | 1.32218i | 0.941108 | + | 0.338106i | \(0.109786\pi\) |
−0.177746 | + | 0.984076i | \(0.556880\pi\) | |||||||
\(788\) | −9.82486 | − | 17.0172i | −0.349996 | − | 0.606211i | ||||
\(789\) | 19.3010 | + | 3.25895i | 0.687132 | + | 0.116022i | ||||
\(790\) | −12.4401 | + | 21.5468i | −0.442598 | + | 0.766602i | ||||
\(791\) | −0.479366 | −0.0170443 | ||||||||
\(792\) | 3.23845 | + | 16.9250i | 0.115073 | + | 0.601404i | ||||
\(793\) | 9.24156 | 0.328177 | ||||||||
\(794\) | 25.4112 | − | 44.0134i | 0.901808 | − | 1.56198i | ||||
\(795\) | 6.52237 | − | 7.88869i | 0.231325 | − | 0.279783i | ||||
\(796\) | 25.9473 | + | 44.9420i | 0.919676 | + | 1.59293i | ||||
\(797\) | 15.4198 | + | 26.7079i | 0.546199 | + | 0.946044i | 0.998530 | + | 0.0541940i | \(0.0172589\pi\) |
−0.452332 | + | 0.891850i | \(0.649408\pi\) | |||||||
\(798\) | 13.9354 | − | 16.8546i | 0.493307 | − | 0.596645i | ||||
\(799\) | −29.4164 | + | 50.9507i | −1.04068 | + | 1.80251i | ||||
\(800\) | −6.33383 | −0.223935 | ||||||||
\(801\) | −24.4259 | + | 21.1078i | −0.863046 | + | 0.745806i | ||||
\(802\) | 5.71514 | 0.201809 | ||||||||
\(803\) | 5.69618 | − | 9.86608i | 0.201014 | − | 0.348166i | ||||
\(804\) | −8.94915 | − | 1.51106i | −0.315612 | − | 0.0532909i | ||||
\(805\) | −3.16402 | − | 5.48024i | −0.111517 | − | 0.193153i | ||||
\(806\) | −3.45750 | − | 5.98857i | −0.121785 | − | 0.210938i | ||||
\(807\) | 12.5536 | + | 33.7267i | 0.441908 | + | 1.18724i | ||||
\(808\) | −16.8502 | + | 29.1855i | −0.592789 | + | 1.02674i | ||||
\(809\) | −14.4671 | −0.508636 | −0.254318 | − | 0.967121i | \(-0.581851\pi\) | ||||
−0.254318 | + | 0.967121i | \(0.581851\pi\) | |||||||
\(810\) | −2.94438 | + | 20.0950i | −0.103455 | + | 0.706068i | ||||
\(811\) | 40.9902 | 1.43936 | 0.719681 | − | 0.694305i | \(-0.244288\pi\) | ||||
0.719681 | + | 0.694305i | \(0.244288\pi\) | |||||||
\(812\) | 2.62938 | − | 4.55422i | 0.0922732 | − | 0.159822i | ||||
\(813\) | 1.04265 | + | 2.80120i | 0.0365674 | + | 0.0982425i | ||||
\(814\) | −6.25959 | − | 10.8419i | −0.219398 | − | 0.380009i | ||||
\(815\) | −9.12447 | − | 15.8040i | −0.319616 | − | 0.553592i | ||||
\(816\) | −6.42486 | − | 1.08483i | −0.224915 | − | 0.0379768i | ||||
\(817\) | 47.2592 | − | 81.8554i | 1.65339 | − | 2.86376i | ||||
\(818\) | −14.3766 | −0.502666 | ||||||||
\(819\) | 1.60384 | − | 1.38596i | 0.0560425 | − | 0.0484294i | ||||
\(820\) | 29.2502 | 1.02146 | ||||||||
\(821\) | 23.6408 | − | 40.9470i | 0.825068 | − | 1.42906i | −0.0767992 | − | 0.997047i | \(-0.524470\pi\) |
0.901867 | − | 0.432013i | \(-0.142197\pi\) | |||||||
\(822\) | 5.05548 | − | 6.11451i | 0.176330 | − | 0.213268i | ||||
\(823\) | −14.9104 | − | 25.8256i | −0.519744 | − | 0.900223i | −0.999737 | − | 0.0229503i | \(-0.992694\pi\) |
0.479993 | − | 0.877272i | \(-0.340639\pi\) | |||||||
\(824\) | 8.78868 | + | 15.2224i | 0.306168 | + | 0.530299i | ||||
\(825\) | 2.57180 | − | 3.11054i | 0.0895385 | − | 0.108295i | ||||
\(826\) | −2.37126 | + | 4.10715i | −0.0825068 | + | 0.142906i | ||||
\(827\) | 3.90807 | 0.135897 | 0.0679484 | − | 0.997689i | \(-0.478355\pi\) | ||||
0.0679484 | + | 0.997689i | \(0.478355\pi\) | |||||||
\(828\) | 15.6143 | + | 81.6047i | 0.542635 | + | 2.83596i | ||||
\(829\) | −7.76600 | −0.269724 | −0.134862 | − | 0.990864i | \(-0.543059\pi\) | ||||
−0.134862 | + | 0.990864i | \(0.543059\pi\) | |||||||
\(830\) | −0.588630 | + | 1.01954i | −0.0204316 | + | 0.0353886i | ||||
\(831\) | −5.92158 | − | 0.999854i | −0.205417 | − | 0.0346846i | ||||
\(832\) | −6.52446 | − | 11.3007i | −0.226195 | − | 0.391781i | ||||
\(833\) | 19.6562 | + | 34.0456i | 0.681048 | + | 1.17961i | ||||
\(834\) | 3.89016 | + | 10.4514i | 0.134705 | + | 0.361902i | ||||
\(835\) | 2.80066 | − | 4.85088i | 0.0969207 | − | 0.167872i | ||||
\(836\) | 57.0618 | 1.97352 | ||||||||
\(837\) | 0.346835 | + | 15.9189i | 0.0119884 | + | 0.550237i | ||||
\(838\) | 69.8105 | 2.41156 | ||||||||
\(839\) | −7.80495 | + | 13.5186i | −0.269457 | + | 0.466713i | −0.968722 | − | 0.248150i | \(-0.920177\pi\) |
0.699265 | + | 0.714863i | \(0.253511\pi\) | |||||||
\(840\) | 1.05234 | + | 2.82724i | 0.0363092 | + | 0.0975489i | ||||
\(841\) | 11.6037 | + | 20.0981i | 0.400126 | + | 0.693039i | ||||
\(842\) | 15.7562 | + | 27.2906i | 0.542995 | + | 0.940495i | ||||
\(843\) | 2.00271 | + | 0.338156i | 0.0689770 | + | 0.0116467i | ||||
\(844\) | 17.5693 | − | 30.4310i | 0.604762 | − | 1.04748i | ||||
\(845\) | −1.00000 | −0.0344010 | ||||||||
\(846\) | 62.2105 | + | 21.6249i | 2.13884 | + | 0.743480i | ||||
\(847\) | −3.93569 | −0.135232 | ||||||||
\(848\) | 1.83813 | − | 3.18373i | 0.0631215 | − | 0.109330i | ||||
\(849\) | −24.0736 | + | 29.1166i | −0.826205 | + | 0.999280i | ||||
\(850\) | −6.82331 | − | 11.8183i | −0.234038 | − | 0.405365i | ||||
\(851\) | −10.6612 | − | 18.4657i | −0.365460 | − | 0.632996i | ||||
\(852\) | 42.4705 | − | 51.3673i | 1.45502 | − | 1.75981i | ||||
\(853\) | 6.17301 | − | 10.6920i | 0.211360 | − | 0.366086i | −0.740781 | − | 0.671747i | \(-0.765544\pi\) |
0.952140 | + | 0.305661i | \(0.0988775\pi\) | |||||||
\(854\) | −14.7353 | −0.504233 | ||||||||
\(855\) | 22.4395 | + | 7.80016i | 0.767414 | + | 0.266760i | ||||
\(856\) | −4.20967 | −0.143884 | ||||||||
\(857\) | 18.4503 | − | 31.9569i | 0.630251 | − | 1.09163i | −0.357250 | − | 0.934009i | \(-0.616286\pi\) |
0.987500 | − | 0.157617i | \(-0.0503811\pi\) | |||||||
\(858\) | 8.98071 | + | 1.51639i | 0.306596 | + | 0.0517685i | ||||
\(859\) | 14.1989 | + | 24.5932i | 0.484460 | + | 0.839109i | 0.999841 | − | 0.0178523i | \(-0.00568287\pi\) |
−0.515381 | + | 0.856961i | \(0.672350\pi\) | |||||||
\(860\) | 18.4550 | + | 31.9650i | 0.629310 | + | 1.09000i | ||||
\(861\) | 4.03809 | + | 10.8488i | 0.137618 | + | 0.369726i | ||||
\(862\) | −22.7950 | + | 39.4821i | −0.776400 | + | 1.34476i | ||||
\(863\) | −26.6238 | −0.906283 | −0.453142 | − | 0.891438i | \(-0.649697\pi\) | ||||
−0.453142 | + | 0.891438i | \(0.649697\pi\) | |||||||
\(864\) | 0.716896 | + | 32.9037i | 0.0243893 | + | 1.11941i | ||||
\(865\) | 3.60260 | 0.122492 | ||||||||
\(866\) | 15.5320 | − | 26.9022i | 0.527798 | − | 0.914173i | ||||
\(867\) | −11.8245 | − | 31.7680i | −0.401583 | − | 1.07890i | ||||
\(868\) | 3.34771 | + | 5.79840i | 0.113629 | + | 0.196811i | ||||
\(869\) | −12.8457 | − | 22.2495i | −0.435762 | − | 0.754762i | ||||
\(870\) | 9.27588 | + | 1.56622i | 0.314482 | + | 0.0531000i | ||||
\(871\) | −0.847241 | + | 1.46746i | −0.0287077 | + | 0.0497231i | ||||
\(872\) | −7.97749 | −0.270152 | ||||||||
\(873\) | 1.67056 | + | 8.73079i | 0.0565398 | + | 0.295493i | ||||
\(874\) | 160.042 | 5.41350 | ||||||||
\(875\) | 0.353285 | − | 0.611908i | 0.0119432 | − | 0.0206863i | ||||
\(876\) | −16.6859 | + | 20.1813i | −0.563764 | + | 0.681863i | ||||
\(877\) | 25.6019 | + | 44.3439i | 0.864516 | + | 1.49739i | 0.867527 | + | 0.497390i | \(0.165708\pi\) |
−0.00301066 | + | 0.999995i | \(0.500958\pi\) | |||||||
\(878\) | −8.76423 | − | 15.1801i | −0.295778 | − | 0.512303i | ||||
\(879\) | 30.7837 | − | 37.2323i | 1.03831 | − | 1.25581i | ||||
\(880\) | 0.724780 | − | 1.25536i | 0.0244323 | − | 0.0423181i | ||||
\(881\) | −29.0213 | −0.977751 | −0.488876 | − | 0.872354i | \(-0.662593\pi\) | ||||
−0.488876 | + | 0.872354i | \(0.662593\pi\) | |||||||
\(882\) | 33.2987 | − | 28.7752i | 1.12123 | − | 0.968913i | ||||
\(883\) | 21.5185 | 0.724154 | 0.362077 | − | 0.932148i | \(-0.382068\pi\) | ||||
0.362077 | + | 0.932148i | \(0.382068\pi\) | |||||||
\(884\) | 9.35028 | − | 16.1952i | 0.314484 | − | 0.544702i | ||||
\(885\) | −5.07986 | − | 0.857730i | −0.170758 | − | 0.0288323i | ||||
\(886\) | −18.5398 | − | 32.1119i | −0.622857 | − | 1.07882i | ||||
\(887\) | −9.60108 | − | 16.6296i | −0.322373 | − | 0.558366i | 0.658604 | − | 0.752489i | \(-0.271147\pi\) |
−0.980977 | + | 0.194124i | \(0.937814\pi\) | |||||||
\(888\) | 3.54587 | + | 9.52638i | 0.118991 | + | 0.319684i | ||||
\(889\) | −5.18937 | + | 8.98826i | −0.174046 | + | 0.301456i | ||||
\(890\) | −24.2832 | −0.813974 | ||||||||
\(891\) | −16.4501 | − | 13.0082i | −0.551100 | − | 0.435792i | ||||
\(892\) | −62.1120 | −2.07966 | ||||||||
\(893\) | 38.5199 | − | 66.7184i | 1.28902 | − | 2.23265i | ||||
\(894\) | −12.2468 | − | 32.9026i | −0.409596 | − | 1.10043i | ||||
\(895\) | 7.65613 | + | 13.2608i | 0.255916 | + | 0.443260i | ||||
\(896\) | 5.92772 | + | 10.2671i | 0.198031 | + | 0.343000i | ||||
\(897\) | 15.2957 | + | 2.58267i | 0.510709 | + | 0.0862329i | ||||
\(898\) | −11.2573 | + | 19.4983i | −0.375662 | + | 0.650666i | ||||
\(899\) | 7.37519 | 0.245976 | ||||||||
\(900\) | −7.01928 | + | 6.06575i | −0.233976 | + | 0.202192i | ||||
\(901\) | 35.7380 | 1.19060 | ||||||||
\(902\) | −24.8694 | + | 43.0750i | −0.828059 | + | 1.43424i | ||||
\(903\) | −9.30792 | + | 11.2578i | −0.309748 | + | 0.374635i | ||||
\(904\) | 0.836185 | + | 1.44832i | 0.0278111 | + | 0.0481702i | ||||
\(905\) | −3.61867 | − | 6.26772i | −0.120289 | − | 0.208346i | ||||
\(906\) | 6.86113 | − | 8.29841i | 0.227946 | − | 0.275696i | ||||
\(907\) | −23.7416 | + | 41.1216i | −0.788326 | + | 1.36542i | 0.138666 | + | 0.990339i | \(0.455719\pi\) |
−0.926992 | + | 0.375081i | \(0.877615\pi\) | |||||||
\(908\) | −35.0927 | −1.16459 | ||||||||
\(909\) | −7.70790 | − | 40.2836i | −0.255655 | − | 1.33612i | ||||
\(910\) | 1.59446 | 0.0528560 | ||||||||
\(911\) | 7.00522 | − | 12.1334i | 0.232093 | − | 0.401997i | −0.726331 | − | 0.687345i | \(-0.758776\pi\) |
0.958424 | + | 0.285348i | \(0.0921092\pi\) | |||||||
\(912\) | 8.41316 | + | 1.42056i | 0.278588 | + | 0.0470393i | ||||
\(913\) | −0.607824 | − | 1.05278i | −0.0201160 | − | 0.0348420i | ||||
\(914\) | 19.5830 | + | 33.9187i | 0.647747 | + | 1.12193i | ||||
\(915\) | −5.58374 | − | 15.0014i | −0.184593 | − | 0.495930i | ||||
\(916\) | 5.69202 | − | 9.85886i | 0.188070 | − | 0.325746i | ||||
\(917\) | −6.40427 | −0.211488 | ||||||||
\(918\) | −60.6229 | + | 36.7842i | −2.00086 | + | 1.21406i | ||||
\(919\) | 47.7699 | 1.57579 | 0.787893 | − | 0.615813i | \(-0.211172\pi\) | ||||
0.787893 | + | 0.615813i | \(0.211172\pi\) | |||||||
\(920\) | −11.0384 | + | 19.1190i | −0.363924 | + | 0.630334i | ||||
\(921\) | 0.347010 | + | 0.932282i | 0.0114344 | + | 0.0307197i | ||||
\(922\) | 11.9521 | + | 20.7017i | 0.393622 | + | 0.681773i | ||||
\(923\) | −6.22195 | − | 10.7767i | −0.204798 | − | 0.354721i | ||||
\(924\) | −8.69552 | − | 1.46823i | −0.286062 | − | 0.0483013i | ||||
\(925\) | 1.19040 | − | 2.06183i | 0.0391400 | − | 0.0677924i | ||||
\(926\) | −8.14064 | −0.267518 | ||||||||
\(927\) | −20.2062 | − | 7.02384i | −0.663657 | − | 0.230693i | ||||
\(928\) | 15.2442 | 0.500417 | ||||||||
\(929\) | −18.1478 | + | 31.4329i | −0.595409 | + | 1.03128i | 0.398080 | + | 0.917351i | \(0.369677\pi\) |
−0.993489 | + | 0.113928i | \(0.963657\pi\) | |||||||
\(930\) | −7.63193 | + | 9.23069i | −0.250261 | + | 0.302686i | ||||
\(931\) | −25.7392 | − | 44.5817i | −0.843569 | − | 1.46110i | ||||
\(932\) | −19.3715 | − | 33.5524i | −0.634533 | − | 1.09904i | ||||
\(933\) | −25.5028 | + | 30.8452i | −0.834925 | + | 1.00983i | ||||
\(934\) | −7.85995 | + | 13.6138i | −0.257185 | + | 0.445458i | ||||
\(935\) | 14.0916 | 0.460845 | ||||||||
\(936\) | −6.98509 | − | 2.42808i | −0.228315 | − | 0.0793642i | ||||
\(937\) | −16.6768 | −0.544808 | −0.272404 | − | 0.962183i | \(-0.587819\pi\) | ||||
−0.272404 | + | 0.962183i | \(0.587819\pi\) | |||||||
\(938\) | 1.35090 | − | 2.33982i | 0.0441083 | − | 0.0763978i | ||||
\(939\) | 43.5259 | + | 7.34932i | 1.42041 | + | 0.239836i | ||||
\(940\) | 15.0422 | + | 26.0539i | 0.490623 | + | 0.849784i | ||||
\(941\) | −24.4145 | − | 42.2872i | −0.795890 | − | 1.37852i | −0.922273 | − | 0.386540i | \(-0.873670\pi\) |
0.126383 | − | 0.991982i | \(-0.459663\pi\) | |||||||
\(942\) | −33.4026 | − | 89.7400i | −1.08832 | − | 2.92389i | ||||
\(943\) | −42.3569 | + | 73.3643i | −1.37933 | + | 2.38907i | ||||
\(944\) | −1.85028 | −0.0602213 | ||||||||
\(945\) | −3.21880 | − | 1.76603i | −0.104708 | − | 0.0574490i | ||||
\(946\) | −62.7638 | −2.04063 | ||||||||
\(947\) | 5.03571 | − | 8.72210i | 0.163639 | − | 0.283430i | −0.772532 | − | 0.634975i | \(-0.781010\pi\) |
0.936171 | + | 0.351545i | \(0.114344\pi\) | |||||||
\(948\) | 20.5998 | + | 55.3437i | 0.669050 | + | 1.79748i | ||||
\(949\) | 2.44449 | + | 4.23399i | 0.0793516 | + | 0.137441i | ||||
\(950\) | 8.93492 | + | 15.4757i | 0.289887 | + | 0.502099i | ||||
\(951\) | 55.2595 | + | 9.33052i | 1.79191 | + | 0.302563i | ||||
\(952\) | −5.26638 | + | 9.12164i | −0.170684 | + | 0.295634i | ||||
\(953\) | 19.2233 | 0.622703 | 0.311351 | − | 0.950295i | \(-0.399218\pi\) | ||||
0.311351 | + | 0.950295i | \(0.399218\pi\) | |||||||
\(954\) | −7.51872 | − | 39.2949i | −0.243427 | − | 1.27222i | ||||
\(955\) | 19.3679 | 0.626729 | ||||||||
\(956\) | −5.14701 | + | 8.91489i | −0.166466 | + | 0.288328i | ||||
\(957\) | −6.18980 | + | 7.48645i | −0.200088 | + | 0.242003i | ||||
\(958\) | 24.8912 | + | 43.1129i | 0.804199 | + | 1.39291i | ||||
\(959\) | 0.717112 | + | 1.24207i | 0.0231568 | + | 0.0401087i | ||||
\(960\) | −14.4018 | + | 17.4187i | −0.464816 | + | 0.562186i | ||||
\(961\) | 10.8050 | − | 18.7148i | 0.348548 | − | 0.603703i | ||||
\(962\) | 5.37255 | 0.173218 | ||||||||
\(963\) | 3.87642 | − | 3.34983i | 0.124916 | − | 0.107947i | ||||
\(964\) | −82.8249 | −2.66761 | ||||||||
\(965\) | 2.52773 | − | 4.37816i | 0.0813705 | − | 0.140938i | ||||
\(966\) | −24.3885 | − | 4.11798i | −0.784686 | − | 0.132494i | ||||
\(967\) | 11.9833 | + | 20.7558i | 0.385358 | + | 0.667460i | 0.991819 | − | 0.127653i | \(-0.0407445\pi\) |
−0.606460 | + | 0.795114i | \(0.707411\pi\) | |||||||
\(968\) | 6.86524 | + | 11.8909i | 0.220657 | + | 0.382189i | ||||
\(969\) | 28.9340 | + | 77.7344i | 0.929493 | + | 2.49719i | ||||
\(970\) | −3.34326 | + | 5.79069i | −0.107345 | + | 0.185928i | ||||
\(971\) | 22.5951 | 0.725111 | 0.362556 | − | 0.931962i | \(-0.381904\pi\) | ||||
0.362556 | + | 0.931962i | \(0.381904\pi\) | |||||||
\(972\) | 32.3056 | + | 35.7781i | 1.03620 | + | 1.14758i | ||||
\(973\) | −2.01597 | −0.0646291 | ||||||||
\(974\) | 5.86450 | − | 10.1576i | 0.187911 | − | 0.325471i | ||||
\(975\) | 0.604199 | + | 1.62325i | 0.0193499 | + | 0.0519856i | ||||
\(976\) | −2.87446 | − | 4.97872i | −0.0920093 | − | 0.159365i | ||||
\(977\) | 4.77325 | + | 8.26751i | 0.152710 | + | 0.264501i | 0.932223 | − | 0.361885i | \(-0.117867\pi\) |
−0.779513 | + | 0.626386i | \(0.784533\pi\) | |||||||
\(978\) | −70.3320 | − | 11.8755i | −2.24897 | − | 0.379737i | ||||
\(979\) | 12.5375 | − | 21.7156i | 0.400701 | − | 0.694034i | ||||
\(980\) | 20.1026 | 0.642155 | ||||||||
\(981\) | 7.34598 | − | 6.34806i | 0.234539 | − | 0.202678i | ||||
\(982\) | −5.04709 | −0.161059 | ||||||||
\(983\) | −14.9234 | + | 25.8480i | −0.475981 | + | 0.824424i | −0.999621 | − | 0.0275157i | \(-0.991240\pi\) |
0.523640 | + | 0.851940i | \(0.324574\pi\) | |||||||
\(984\) | 25.7338 | − | 31.1245i | 0.820362 | − | 0.992213i | ||||
\(985\) | 3.17715 | + | 5.50299i | 0.101232 | + | 0.175340i | ||||
\(986\) | 16.4223 | + | 28.4443i | 0.522993 | + | 0.905851i | ||||
\(987\) | −7.58667 | + | 9.17594i | −0.241486 | + | 0.292073i | ||||
\(988\) | −12.2439 | + | 21.2071i | −0.389531 | + | 0.674687i | ||||
\(989\) | −106.898 | −3.39915 | ||||||||
\(990\) | −2.96466 | − | 15.4941i | −0.0942231 | − | 0.492436i | ||||
\(991\) | −24.1499 | −0.767146 | −0.383573 | − | 0.923511i | \(-0.625307\pi\) | ||||
−0.383573 | + | 0.923511i | \(0.625307\pi\) | |||||||
\(992\) | −9.70442 | + | 16.8086i | −0.308116 | + | 0.533672i | ||||
\(993\) | 51.5259 | + | 8.70011i | 1.63513 | + | 0.276090i | ||||
\(994\) | 9.92068 | + | 17.1831i | 0.314665 | + | 0.545016i | ||||
\(995\) | −8.39079 | − | 14.5333i | −0.266006 | − | 0.460736i | ||||
\(996\) | 0.974724 | + | 2.61871i | 0.0308853 | + | 0.0829770i | ||||
\(997\) | −15.9893 | + | 27.6943i | −0.506387 | + | 0.877088i | 0.493586 | + | 0.869697i | \(0.335686\pi\) |
−0.999973 | + | 0.00739074i | \(0.997647\pi\) | |||||||
\(998\) | −48.0419 | −1.52074 | ||||||||
\(999\) | −10.8458 | − | 5.95064i | −0.343145 | − | 0.188270i |
(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 | 585.2.i.e.196.2 | ✓ | 16 | |
3.2 | odd | 2 | 1755.2.i.f.586.7 | 16 | |||
9.2 | odd | 6 | 5265.2.a.ba.1.2 | 8 | |||
9.4 | even | 3 | inner | 585.2.i.e.391.2 | yes | 16 | |
9.5 | odd | 6 | 1755.2.i.f.1171.7 | 16 | |||
9.7 | even | 3 | 5265.2.a.bf.1.7 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.e.196.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
585.2.i.e.391.2 | yes | 16 | 9.4 | even | 3 | inner | |
1755.2.i.f.586.7 | 16 | 3.2 | odd | 2 | |||
1755.2.i.f.1171.7 | 16 | 9.5 | odd | 6 | |||
5265.2.a.ba.1.2 | 8 | 9.2 | odd | 6 | |||
5265.2.a.bf.1.7 | 8 | 9.7 | even | 3 |