Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,2,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (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: | \(0.359326809096\) |
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: | \( x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 34 x^{12} + 18 x^{11} - 72 x^{10} + 132 x^{9} - 93 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Root | \(0.601150 - 2.24352i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 45.2 |
Dual form | 45.2.l.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.601150 | − | 2.24352i | −0.425077 | − | 1.58641i | −0.763754 | − | 0.645507i | \(-0.776646\pi\) |
0.338677 | − | 0.940903i | \(-0.390021\pi\) | |||||||
\(3\) | −1.72336 | − | 0.173261i | −0.994984 | − | 0.100032i | ||||
\(4\) | −2.93996 | + | 1.69739i | −1.46998 | + | 0.848694i | ||||
\(5\) | 1.70912 | − | 1.44185i | 0.764341 | − | 0.644813i | ||||
\(6\) | 0.647285 | + | 3.97056i | 0.264253 | + | 1.62097i | ||||
\(7\) | 0.751454 | − | 0.201351i | 0.284023 | − | 0.0761037i | −0.113995 | − | 0.993481i | \(-0.536365\pi\) |
0.398018 | + | 0.917378i | \(0.369698\pi\) | |||||||
\(8\) | 2.29074 | + | 2.29074i | 0.809899 | + | 0.809899i | ||||
\(9\) | 2.93996 | + | 0.597183i | 0.979987 | + | 0.199061i | ||||
\(10\) | −4.26225 | − | 2.96768i | −1.34784 | − | 0.938462i | ||||
\(11\) | −0.220188 | − | 0.127126i | −0.0663893 | − | 0.0383299i | 0.466438 | − | 0.884554i | \(-0.345537\pi\) |
−0.532827 | + | 0.846224i | \(0.678870\pi\) | |||||||
\(12\) | 5.36071 | − | 2.41583i | 1.54750 | − | 0.697391i | ||||
\(13\) | 3.70486 | + | 0.992714i | 1.02754 | + | 0.275329i | 0.732942 | − | 0.680291i | \(-0.238147\pi\) |
0.294601 | + | 0.955620i | \(0.404813\pi\) | |||||||
\(14\) | −0.903473 | − | 1.56486i | −0.241463 | − | 0.418227i | ||||
\(15\) | −3.19525 | + | 2.18870i | −0.825009 | + | 0.565120i | ||||
\(16\) | 0.367473 | − | 0.636483i | 0.0918684 | − | 0.159121i | ||||
\(17\) | −3.93311 | + | 3.93311i | −0.953920 | + | 0.953920i | −0.998984 | − | 0.0450642i | \(-0.985651\pi\) |
0.0450642 | + | 0.998984i | \(0.485651\pi\) | |||||||
\(18\) | −0.427565 | − | 6.95487i | −0.100778 | − | 1.63928i | ||||
\(19\) | 0.440377i | 0.101029i | 0.998723 | + | 0.0505147i | \(0.0160862\pi\) | ||||
−0.998723 | + | 0.0505147i | \(0.983914\pi\) | |||||||
\(20\) | −2.57737 | + | 7.14000i | −0.576317 | + | 1.59655i | ||||
\(21\) | −1.32991 | + | 0.216804i | −0.290211 | + | 0.0473105i | ||||
\(22\) | −0.152843 | + | 0.570419i | −0.0325863 | + | 0.121614i | ||||
\(23\) | −0.917076 | + | 3.42258i | −0.191224 | + | 0.713656i | 0.801989 | + | 0.597339i | \(0.203775\pi\) |
−0.993212 | + | 0.116317i | \(0.962891\pi\) | |||||||
\(24\) | −3.55088 | − | 4.34467i | −0.724821 | − | 0.886853i | ||||
\(25\) | 0.842164 | − | 4.92857i | 0.168433 | − | 0.985713i | ||||
\(26\) | − | 8.90871i | − | 1.74714i | ||||||
\(27\) | −4.96315 | − | 1.53854i | −0.955159 | − | 0.296093i | ||||
\(28\) | −1.86747 | + | 1.86747i | −0.352919 | + | 0.352919i | ||||
\(29\) | 2.76265 | − | 4.78505i | 0.513011 | − | 0.888561i | −0.486875 | − | 0.873472i | \(-0.661863\pi\) |
0.999886 | − | 0.0150897i | \(-0.00480338\pi\) | |||||||
\(30\) | 6.83122 | + | 5.85287i | 1.24720 | + | 1.06858i | ||||
\(31\) | −0.0971829 | − | 0.168326i | −0.0174546 | − | 0.0302322i | 0.857166 | − | 0.515040i | \(-0.172223\pi\) |
−0.874621 | + | 0.484808i | \(0.838890\pi\) | |||||||
\(32\) | 4.60955 | + | 1.23512i | 0.814861 | + | 0.218341i | ||||
\(33\) | 0.357439 | + | 0.257234i | 0.0622221 | + | 0.0447787i | ||||
\(34\) | 11.1884 | + | 6.45964i | 1.91880 | + | 1.10782i | ||||
\(35\) | 0.994005 | − | 1.42761i | 0.168018 | − | 0.241311i | ||||
\(36\) | −9.65702 | + | 3.23456i | −1.60950 | + | 0.539093i | ||||
\(37\) | −0.123005 | − | 0.123005i | −0.0202220 | − | 0.0202220i | 0.696924 | − | 0.717145i | \(-0.254552\pi\) |
−0.717145 | + | 0.696924i | \(0.754552\pi\) | |||||||
\(38\) | 0.987995 | − | 0.264732i | 0.160274 | − | 0.0429453i | ||||
\(39\) | −6.21282 | − | 2.35271i | −0.994848 | − | 0.376736i | ||||
\(40\) | 7.21804 | + | 0.612251i | 1.14127 | + | 0.0968054i | ||||
\(41\) | −3.88223 | + | 2.24141i | −0.606303 | + | 0.350049i | −0.771517 | − | 0.636209i | \(-0.780502\pi\) |
0.165214 | + | 0.986258i | \(0.447168\pi\) | |||||||
\(42\) | 1.28588 | + | 2.85336i | 0.198416 | + | 0.440283i | ||||
\(43\) | −0.357680 | − | 1.33488i | −0.0545456 | − | 0.203567i | 0.933275 | − | 0.359162i | \(-0.116937\pi\) |
−0.987821 | + | 0.155595i | \(0.950271\pi\) | |||||||
\(44\) | 0.863127 | 0.130121 | ||||||||
\(45\) | 5.88578 | − | 3.21831i | 0.877401 | − | 0.479758i | ||||
\(46\) | 8.22993 | 1.21344 | ||||||||
\(47\) | 1.11828 | + | 4.17348i | 0.163118 | + | 0.608765i | 0.998273 | + | 0.0587499i | \(0.0187115\pi\) |
−0.835155 | + | 0.550015i | \(0.814622\pi\) | |||||||
\(48\) | −0.743568 | + | 1.03322i | −0.107325 | + | 0.149133i | ||||
\(49\) | −5.53804 | + | 3.19739i | −0.791148 | + | 0.456770i | ||||
\(50\) | −11.5636 | + | 1.07339i | −1.63534 | + | 0.151801i | ||||
\(51\) | 7.45964 | − | 6.09673i | 1.04456 | − | 0.853713i | ||||
\(52\) | −12.5772 | + | 3.37004i | −1.74414 | + | 0.467341i | ||||
\(53\) | −0.938022 | − | 0.938022i | −0.128847 | − | 0.128847i | 0.639742 | − | 0.768589i | \(-0.279041\pi\) |
−0.768589 | + | 0.639742i | \(0.779041\pi\) | |||||||
\(54\) | −0.468157 | + | 12.0598i | −0.0637081 | + | 1.64114i | ||||
\(55\) | −0.559623 | + | 0.100205i | −0.0754596 | + | 0.0135116i | ||||
\(56\) | 2.18263 | + | 1.26014i | 0.291666 | + | 0.168393i | ||||
\(57\) | 0.0763000 | − | 0.758929i | 0.0101062 | − | 0.100523i | ||||
\(58\) | −12.3961 | − | 3.32153i | −1.62769 | − | 0.436139i | ||||
\(59\) | 4.02279 | + | 6.96768i | 0.523723 | + | 0.907114i | 0.999619 | + | 0.0276128i | \(0.00879055\pi\) |
−0.475896 | + | 0.879502i | \(0.657876\pi\) | |||||||
\(60\) | 5.67883 | − | 11.8583i | 0.733133 | − | 1.53090i | ||||
\(61\) | −1.44186 | + | 2.49737i | −0.184611 | + | 0.319755i | −0.943445 | − | 0.331528i | \(-0.892436\pi\) |
0.758835 | + | 0.651283i | \(0.225769\pi\) | |||||||
\(62\) | −0.319221 | + | 0.319221i | −0.0405411 | + | 0.0405411i | ||||
\(63\) | 2.32949 | − | 0.143210i | 0.293488 | − | 0.0180428i | ||||
\(64\) | − | 12.5540i | − | 1.56925i | ||||||
\(65\) | 7.76338 | − | 3.64517i | 0.962929 | − | 0.452128i | ||||
\(66\) | 0.362236 | − | 0.956558i | 0.0445882 | − | 0.117744i | ||||
\(67\) | 3.47438 | − | 12.9666i | 0.424463 | − | 1.58412i | −0.340631 | − | 0.940197i | \(-0.610641\pi\) |
0.765093 | − | 0.643919i | \(-0.222693\pi\) | |||||||
\(68\) | 4.88718 | − | 18.2392i | 0.592658 | − | 2.21183i | ||||
\(69\) | 2.17345 | − | 5.73945i | 0.261653 | − | 0.690948i | ||||
\(70\) | −3.80043 | − | 1.37186i | −0.454238 | − | 0.163969i | ||||
\(71\) | 2.15986i | 0.256328i | 0.991753 | + | 0.128164i | \(0.0409085\pi\) | ||||
−0.991753 | + | 0.128164i | \(0.959092\pi\) | |||||||
\(72\) | 5.36670 | + | 8.10268i | 0.632471 | + | 0.954910i | ||||
\(73\) | −9.18432 | + | 9.18432i | −1.07494 | + | 1.07494i | −0.0779897 | + | 0.996954i | \(0.524850\pi\) |
−0.996954 | + | 0.0779897i | \(0.975150\pi\) | |||||||
\(74\) | −0.202021 | + | 0.349910i | −0.0234844 | + | 0.0406762i | ||||
\(75\) | −2.30528 | + | 8.34779i | −0.266191 | + | 0.963920i | ||||
\(76\) | −0.747490 | − | 1.29469i | −0.0857430 | − | 0.148511i | ||||
\(77\) | −0.191058 | − | 0.0511939i | −0.0217731 | − | 0.00583409i | ||||
\(78\) | −1.54353 | + | 15.3529i | −0.174770 | + | 1.73838i | ||||
\(79\) | −11.9729 | − | 6.91256i | −1.34706 | − | 0.777723i | −0.359225 | − | 0.933251i | \(-0.616959\pi\) |
−0.987832 | + | 0.155528i | \(0.950292\pi\) | |||||||
\(80\) | −0.289654 | − | 1.61766i | −0.0323843 | − | 0.180860i | ||||
\(81\) | 8.28675 | + | 3.51139i | 0.920749 | + | 0.390154i | ||||
\(82\) | 7.36245 | + | 7.36245i | 0.813047 | + | 0.813047i | ||||
\(83\) | −5.20187 | + | 1.39384i | −0.570979 | + | 0.152993i | −0.532746 | − | 0.846275i | \(-0.678840\pi\) |
−0.0382335 | + | 0.999269i | \(0.512173\pi\) | |||||||
\(84\) | 3.54190 | − | 2.89477i | 0.386452 | − | 0.315846i | ||||
\(85\) | −1.05121 | + | 12.3931i | −0.114020 | + | 1.34422i | ||||
\(86\) | −2.77981 | + | 1.60493i | −0.299755 | + | 0.173064i | ||||
\(87\) | −5.59011 | + | 7.76772i | −0.599323 | + | 0.832787i | ||||
\(88\) | −0.213182 | − | 0.795606i | −0.0227253 | − | 0.0848119i | ||||
\(89\) | −0.285526 | −0.0302657 | −0.0151328 | − | 0.999885i | \(-0.504817\pi\) | ||||
−0.0151328 | + | 0.999885i | \(0.504817\pi\) | |||||||
\(90\) | −10.7586 | − | 11.2702i | −1.13406 | − | 1.18798i | ||||
\(91\) | 2.98392 | 0.312799 | ||||||||
\(92\) | −3.11327 | − | 11.6189i | −0.324581 | − | 1.21135i | ||||
\(93\) | 0.138317 | + | 0.306924i | 0.0143428 | + | 0.0318266i | ||||
\(94\) | 8.69105 | − | 5.01778i | 0.896413 | − | 0.517545i | ||||
\(95\) | 0.634955 | + | 0.752655i | 0.0651450 | + | 0.0772208i | ||||
\(96\) | −7.72993 | − | 2.92722i | −0.788932 | − | 0.298758i | ||||
\(97\) | 8.73543 | − | 2.34065i | 0.886948 | − | 0.237657i | 0.213546 | − | 0.976933i | \(-0.431499\pi\) |
0.673402 | + | 0.739276i | \(0.264832\pi\) | |||||||
\(98\) | 10.5026 | + | 10.5026i | 1.06092 | + | 1.06092i | ||||
\(99\) | −0.571428 | − | 0.505238i | −0.0574307 | − | 0.0507783i | ||||
\(100\) | 5.88975 | + | 15.9193i | 0.588975 | + | 1.59193i | ||||
\(101\) | −11.3943 | − | 6.57848i | −1.13377 | − | 0.654583i | −0.188890 | − | 0.981998i | \(-0.560489\pi\) |
−0.944881 | + | 0.327415i | \(0.893822\pi\) | |||||||
\(102\) | −18.1625 | − | 13.0708i | −1.79836 | − | 1.29420i | ||||
\(103\) | 15.8082 | + | 4.23579i | 1.55763 | + | 0.417364i | 0.931911 | − | 0.362688i | \(-0.118141\pi\) |
0.625714 | + | 0.780052i | \(0.284808\pi\) | |||||||
\(104\) | 6.21282 | + | 10.7609i | 0.609217 | + | 1.05520i | ||||
\(105\) | −1.96038 | + | 2.28807i | −0.191314 | + | 0.223293i | ||||
\(106\) | −1.54058 | + | 2.66836i | −0.149634 | + | 0.259175i | ||||
\(107\) | 5.81401 | − | 5.81401i | 0.562062 | − | 0.562062i | −0.367831 | − | 0.929893i | \(-0.619899\pi\) |
0.929893 | + | 0.367831i | \(0.119899\pi\) | |||||||
\(108\) | 17.2030 | − | 3.90114i | 1.65536 | − | 0.375387i | ||||
\(109\) | 8.81907i | 0.844713i | 0.906430 | + | 0.422357i | \(0.138797\pi\) | ||||
−0.906430 | + | 0.422357i | \(0.861203\pi\) | |||||||
\(110\) | 0.561229 | + | 1.19529i | 0.0535111 | + | 0.113966i | ||||
\(111\) | 0.190671 | + | 0.233295i | 0.0180977 | + | 0.0221434i | ||||
\(112\) | 0.147983 | − | 0.552279i | 0.0139830 | − | 0.0521854i | ||||
\(113\) | 3.48580 | − | 13.0092i | 0.327916 | − | 1.22380i | −0.583431 | − | 0.812163i | \(-0.698290\pi\) |
0.911347 | − | 0.411638i | \(-0.135043\pi\) | |||||||
\(114\) | −1.74854 | + | 0.285049i | −0.163766 | + | 0.0266973i | ||||
\(115\) | 3.36743 | + | 7.17187i | 0.314015 | + | 0.668780i | ||||
\(116\) | 18.7571i | 1.74156i | ||||||||
\(117\) | 10.2993 | + | 5.13102i | 0.952172 | + | 0.474363i | ||||
\(118\) | 13.2138 | − | 13.2138i | 1.21643 | − | 1.21643i | ||||
\(119\) | −2.16361 | + | 3.74749i | −0.198338 | + | 0.343532i | ||||
\(120\) | −12.3332 | − | 2.30573i | −1.12586 | − | 0.210484i | ||||
\(121\) | −5.46768 | − | 9.47030i | −0.497062 | − | 0.860936i | ||||
\(122\) | 6.46967 | + | 1.73354i | 0.585736 | + | 0.156948i | ||||
\(123\) | 7.07884 | − | 3.19012i | 0.638278 | − | 0.287643i | ||||
\(124\) | 0.571428 | + | 0.329914i | 0.0513157 | + | 0.0296272i | ||||
\(125\) | −5.66687 | − | 9.63777i | −0.506860 | − | 0.862028i | ||||
\(126\) | −1.72167 | − | 5.14017i | −0.153378 | − | 0.457923i | ||||
\(127\) | −6.72167 | − | 6.72167i | −0.596452 | − | 0.596452i | 0.342915 | − | 0.939366i | \(-0.388586\pi\) |
−0.939366 | + | 0.342915i | \(0.888586\pi\) | |||||||
\(128\) | −18.9461 | + | 5.07660i | −1.67462 | + | 0.448712i | ||||
\(129\) | 0.385130 | + | 2.36245i | 0.0339088 | + | 0.208002i | ||||
\(130\) | −12.8450 | − | 15.2260i | −1.12658 | − | 1.33541i | ||||
\(131\) | 11.6482 | − | 6.72508i | 1.01771 | − | 0.587573i | 0.104267 | − | 0.994549i | \(-0.466750\pi\) |
0.913439 | + | 0.406977i | \(0.133417\pi\) | |||||||
\(132\) | −1.48748 | − | 0.149546i | −0.129469 | − | 0.0130163i | ||||
\(133\) | 0.0886705 | + | 0.330923i | 0.00768870 | + | 0.0286946i | ||||
\(134\) | −31.1794 | −2.69349 | ||||||||
\(135\) | −10.7010 | + | 4.52655i | −0.920991 | + | 0.389583i | ||||
\(136\) | −18.0195 | −1.54516 | ||||||||
\(137\) | 2.53378 | + | 9.45618i | 0.216475 | + | 0.807896i | 0.985642 | + | 0.168848i | \(0.0540048\pi\) |
−0.769167 | + | 0.639048i | \(0.779329\pi\) | |||||||
\(138\) | −14.1832 | − | 1.42592i | −1.20735 | − | 0.121383i | ||||
\(139\) | 6.84922 | − | 3.95440i | 0.580943 | − | 0.335408i | −0.180565 | − | 0.983563i | \(-0.557793\pi\) |
0.761508 | + | 0.648155i | \(0.224459\pi\) | |||||||
\(140\) | −0.499124 | + | 5.88434i | −0.0421836 | + | 0.497317i | ||||
\(141\) | −1.20410 | − | 7.38618i | −0.101404 | − | 0.622029i | ||||
\(142\) | 4.84570 | − | 1.29840i | 0.406642 | − | 0.108959i | ||||
\(143\) | −0.689567 | − | 0.689567i | −0.0576645 | − | 0.0576645i | ||||
\(144\) | 1.46045 | − | 1.65179i | 0.121705 | − | 0.137649i | ||||
\(145\) | −2.17761 | − | 12.1615i | −0.180841 | − | 1.00996i | ||||
\(146\) | 26.1264 | + | 15.0841i | 2.16224 | + | 1.24837i | ||||
\(147\) | 10.0980 | − | 4.55073i | 0.832872 | − | 0.375338i | ||||
\(148\) | 0.570419 | + | 0.152843i | 0.0468882 | + | 0.0125636i | ||||
\(149\) | −4.56755 | − | 7.91123i | −0.374188 | − | 0.648113i | 0.616017 | − | 0.787733i | \(-0.288745\pi\) |
−0.990205 | + | 0.139620i | \(0.955412\pi\) | |||||||
\(150\) | 20.1143 | + | 0.153677i | 1.64232 | + | 0.0125477i | ||||
\(151\) | −7.34991 | + | 12.7304i | −0.598127 | + | 1.03599i | 0.394970 | + | 0.918694i | \(0.370755\pi\) |
−0.993097 | + | 0.117293i | \(0.962578\pi\) | |||||||
\(152\) | −1.00879 | + | 1.00879i | −0.0818235 | + | 0.0818235i | ||||
\(153\) | −13.9120 | + | 9.21441i | −1.12472 | + | 0.744941i | ||||
\(154\) | 0.459419i | 0.0370210i | ||||||||
\(155\) | −0.408797 | − | 0.147566i | −0.0328353 | − | 0.0118528i | ||||
\(156\) | 22.2589 | − | 3.62867i | 1.78214 | − | 0.290527i | ||||
\(157\) | −4.38274 | + | 16.3566i | −0.349781 | + | 1.30540i | 0.537146 | + | 0.843490i | \(0.319503\pi\) |
−0.886926 | + | 0.461911i | \(0.847164\pi\) | |||||||
\(158\) | −8.31097 | + | 31.0169i | −0.661185 | + | 2.46758i | ||||
\(159\) | 1.45403 | + | 1.77907i | 0.115312 | + | 0.141090i | ||||
\(160\) | 9.65912 | − | 4.53528i | 0.763620 | − | 0.358546i | ||||
\(161\) | 2.75656i | 0.217248i | ||||||||
\(162\) | 2.89630 | − | 20.7024i | 0.227555 | − | 1.62653i | ||||
\(163\) | 9.74771 | − | 9.74771i | 0.763499 | − | 0.763499i | −0.213454 | − | 0.976953i | \(-0.568471\pi\) |
0.976953 | + | 0.213454i | \(0.0684713\pi\) | |||||||
\(164\) | 7.60907 | − | 13.1793i | 0.594169 | − | 1.02913i | ||||
\(165\) | 0.981796 | − | 0.0757281i | 0.0764327 | − | 0.00589542i | ||||
\(166\) | 6.25421 | + | 10.8326i | 0.485421 | + | 0.840773i | ||||
\(167\) | −19.0563 | − | 5.10613i | −1.47462 | − | 0.395124i | −0.570110 | − | 0.821568i | \(-0.693100\pi\) |
−0.904514 | + | 0.426444i | \(0.859766\pi\) | |||||||
\(168\) | −3.54313 | − | 2.54985i | −0.273358 | − | 0.196725i | ||||
\(169\) | 1.48218 | + | 0.855737i | 0.114014 | + | 0.0658259i | ||||
\(170\) | 28.4361 | − | 5.09169i | 2.18095 | − | 0.390515i | ||||
\(171\) | −0.262985 | + | 1.29469i | −0.0201110 | + | 0.0990074i | ||||
\(172\) | 3.31737 | + | 3.31737i | 0.252947 | + | 0.252947i | ||||
\(173\) | −10.0263 | + | 2.68653i | −0.762284 | + | 0.204253i | −0.618960 | − | 0.785422i | \(-0.712446\pi\) |
−0.143324 | + | 0.989676i | \(0.545779\pi\) | |||||||
\(174\) | 20.7875 | + | 7.87197i | 1.57590 | + | 0.596773i | ||||
\(175\) | −0.359526 | − | 3.87316i | −0.0271776 | − | 0.292783i | ||||
\(176\) | −0.161827 | + | 0.0934307i | −0.0121981 | + | 0.00704260i | ||||
\(177\) | −5.72550 | − | 12.7048i | −0.430355 | − | 0.954954i | ||||
\(178\) | 0.171644 | + | 0.640584i | 0.0128653 | + | 0.0480138i | ||||
\(179\) | 15.1015 | 1.12874 | 0.564370 | − | 0.825522i | \(-0.309119\pi\) | ||||
0.564370 | + | 0.825522i | \(0.309119\pi\) | |||||||
\(180\) | −11.8413 | + | 19.4522i | −0.882595 | + | 1.44988i | ||||
\(181\) | −7.82954 | −0.581965 | −0.290983 | − | 0.956728i | \(-0.593982\pi\) | ||||
−0.290983 | + | 0.956728i | \(0.593982\pi\) | |||||||
\(182\) | −1.79378 | − | 6.69448i | −0.132964 | − | 0.496228i | ||||
\(183\) | 2.91754 | − | 4.05405i | 0.215671 | − | 0.299684i | ||||
\(184\) | −9.94101 | + | 5.73945i | −0.732861 | + | 0.423118i | ||||
\(185\) | −0.387586 | − | 0.0328759i | −0.0284959 | − | 0.00241709i | ||||
\(186\) | 0.605442 | − | 0.494825i | 0.0443932 | − | 0.0362823i | ||||
\(187\) | 1.36603 | − | 0.366025i | 0.0998937 | − | 0.0267664i | ||||
\(188\) | −10.3717 | − | 10.3717i | −0.756436 | − | 0.756436i | ||||
\(189\) | −4.03937 | − | 0.156806i | −0.293821 | − | 0.0114060i | ||||
\(190\) | 1.30690 | − | 1.87699i | 0.0948122 | − | 0.136171i | ||||
\(191\) | 9.93557 | + | 5.73631i | 0.718913 | + | 0.415065i | 0.814352 | − | 0.580371i | \(-0.197092\pi\) |
−0.0954396 | + | 0.995435i | \(0.530426\pi\) | |||||||
\(192\) | −2.17512 | + | 21.6351i | −0.156976 | + | 1.56138i | ||||
\(193\) | −5.33034 | − | 1.42826i | −0.383686 | − | 0.102808i | 0.0618198 | − | 0.998087i | \(-0.480310\pi\) |
−0.445506 | + | 0.895279i | \(0.646976\pi\) | |||||||
\(194\) | −10.5026 | − | 18.1910i | −0.754043 | − | 1.30604i | ||||
\(195\) | −14.0107 | + | 4.93686i | −1.00333 | + | 0.353536i | ||||
\(196\) | 10.8544 | − | 18.8004i | 0.775315 | − | 1.34289i | ||||
\(197\) | 2.32295 | − | 2.32295i | 0.165504 | − | 0.165504i | −0.619496 | − | 0.785000i | \(-0.712663\pi\) |
0.785000 | + | 0.619496i | \(0.212663\pi\) | |||||||
\(198\) | −0.789998 | + | 1.58573i | −0.0561427 | + | 0.112693i | ||||
\(199\) | 17.1978i | 1.21912i | 0.792741 | + | 0.609558i | \(0.208653\pi\) | ||||
−0.792741 | + | 0.609558i | \(0.791347\pi\) | |||||||
\(200\) | 13.2192 | − | 9.36088i | 0.934742 | − | 0.661914i | ||||
\(201\) | −8.23421 | + | 21.7441i | −0.580796 | + | 1.53371i | ||||
\(202\) | −7.90930 | + | 29.5179i | −0.556497 | + | 2.07687i | ||||
\(203\) | 1.11253 | − | 4.15201i | 0.0780841 | − | 0.291414i | ||||
\(204\) | −11.5825 | + | 30.5860i | −0.810940 | + | 2.14145i | ||||
\(205\) | −3.40343 | + | 9.42841i | −0.237706 | + | 0.658509i | ||||
\(206\) | − | 38.0123i | − | 2.64844i | ||||||
\(207\) | −4.74007 | + | 9.51458i | −0.329458 | + | 0.661309i | ||||
\(208\) | 1.99328 | − | 1.99328i | 0.138209 | − | 0.138209i | ||||
\(209\) | 0.0559832 | − | 0.0969658i | 0.00387244 | − | 0.00670726i | ||||
\(210\) | 6.31183 | + | 3.02268i | 0.435558 | + | 0.208585i | ||||
\(211\) | −2.27479 | − | 3.94005i | −0.156603 | − | 0.271245i | 0.777039 | − | 0.629453i | \(-0.216721\pi\) |
−0.933642 | + | 0.358209i | \(0.883388\pi\) | |||||||
\(212\) | 4.34993 | + | 1.16556i | 0.298755 | + | 0.0800511i | ||||
\(213\) | 0.374220 | − | 3.72223i | 0.0256411 | − | 0.255043i | ||||
\(214\) | −16.5390 | − | 9.54878i | −1.13058 | − | 0.652741i | ||||
\(215\) | −2.53601 | − | 1.76575i | −0.172954 | − | 0.120423i | ||||
\(216\) | −7.84489 | − | 14.8937i | −0.533777 | − | 1.01339i | ||||
\(217\) | −0.106921 | − | 0.106921i | −0.00725827 | − | 0.00725827i | ||||
\(218\) | 19.7858 | − | 5.30158i | 1.34006 | − | 0.359068i | ||||
\(219\) | 17.4192 | − | 14.2366i | 1.17708 | − | 0.962023i | ||||
\(220\) | 1.47519 | − | 1.24450i | 0.0994570 | − | 0.0839039i | ||||
\(221\) | −18.4761 | + | 10.6672i | −1.24284 | + | 0.717552i | ||||
\(222\) | 0.408781 | − | 0.568020i | 0.0274356 | − | 0.0381230i | ||||
\(223\) | −4.74061 | − | 17.6922i | −0.317455 | − | 1.18476i | −0.921682 | − | 0.387946i | \(-0.873185\pi\) |
0.604227 | − | 0.796812i | \(-0.293482\pi\) | |||||||
\(224\) | 3.71256 | 0.248056 | ||||||||
\(225\) | 5.41919 | − | 13.9869i | 0.361279 | − | 0.932458i | ||||
\(226\) | −31.2819 | −2.08084 | ||||||||
\(227\) | −2.91961 | − | 10.8961i | −0.193781 | − | 0.723202i | −0.992579 | − | 0.121602i | \(-0.961197\pi\) |
0.798798 | − | 0.601600i | \(-0.205470\pi\) | |||||||
\(228\) | 1.06388 | + | 2.36073i | 0.0704570 | + | 0.156343i | ||||
\(229\) | 4.22418 | − | 2.43883i | 0.279142 | − | 0.161163i | −0.353893 | − | 0.935286i | \(-0.615142\pi\) |
0.633035 | + | 0.774123i | \(0.281809\pi\) | |||||||
\(230\) | 14.0659 | − | 11.8663i | 0.927479 | − | 0.782439i | ||||
\(231\) | 0.320393 | + | 0.121329i | 0.0210803 | + | 0.00798284i | ||||
\(232\) | 17.2898 | − | 4.63279i | 1.13513 | − | 0.304158i | ||||
\(233\) | 7.90742 | + | 7.90742i | 0.518033 | + | 0.518033i | 0.916976 | − | 0.398943i | \(-0.130623\pi\) |
−0.398943 | + | 0.916976i | \(0.630623\pi\) | |||||||
\(234\) | 5.32013 | − | 26.1913i | 0.347788 | − | 1.71218i | ||||
\(235\) | 7.92879 | + | 5.52058i | 0.517217 | + | 0.360123i | ||||
\(236\) | −23.6537 | − | 13.6565i | −1.53972 | − | 0.888960i | ||||
\(237\) | 19.4360 | + | 13.9873i | 1.26250 | + | 0.908571i | ||||
\(238\) | 9.70823 | + | 2.60131i | 0.629291 | + | 0.168618i | ||||
\(239\) | 11.1362 | + | 19.2884i | 0.720340 | + | 1.24767i | 0.960864 | + | 0.277022i | \(0.0893476\pi\) |
−0.240523 | + | 0.970643i | \(0.577319\pi\) | |||||||
\(240\) | 0.218902 | + | 2.83801i | 0.0141300 | + | 0.183193i | ||||
\(241\) | 14.4746 | − | 25.0708i | 0.932392 | − | 1.61495i | 0.153171 | − | 0.988200i | \(-0.451051\pi\) |
0.779220 | − | 0.626750i | \(-0.215615\pi\) | |||||||
\(242\) | −17.9599 | + | 17.9599i | −1.15451 | + | 1.15451i | ||||
\(243\) | −13.6727 | − | 7.48717i | −0.877103 | − | 0.480302i | ||||
\(244\) | − | 9.78955i | − | 0.626712i | ||||||
\(245\) | −4.85502 | + | 13.4497i | −0.310176 | + | 0.859270i | ||||
\(246\) | −11.4126 | − | 13.9638i | −0.727638 | − | 0.890300i | ||||
\(247\) | −0.437168 | + | 1.63153i | −0.0278163 | + | 0.103812i | ||||
\(248\) | 0.162970 | − | 0.608211i | 0.0103486 | − | 0.0386214i | ||||
\(249\) | 9.20620 | − | 1.50081i | 0.583420 | − | 0.0951097i | ||||
\(250\) | −18.2159 | + | 18.5075i | −1.15208 | + | 1.17052i | ||||
\(251\) | 20.4218i | 1.28901i | 0.764599 | + | 0.644507i | \(0.222937\pi\) | ||||
−0.764599 | + | 0.644507i | \(0.777063\pi\) | |||||||
\(252\) | −6.60552 | + | 4.37508i | −0.416109 | + | 0.275604i | ||||
\(253\) | 0.637027 | − | 0.637027i | 0.0400496 | − | 0.0400496i | ||||
\(254\) | −11.0395 | + | 19.1209i | −0.692679 | + | 1.19975i | ||||
\(255\) | 3.95886 | − | 21.1757i | 0.247913 | − | 1.32607i | ||||
\(256\) | 10.2249 | + | 17.7101i | 0.639057 | + | 1.10688i | ||||
\(257\) | 7.09249 | + | 1.90043i | 0.442417 | + | 0.118545i | 0.473149 | − | 0.880982i | \(-0.343117\pi\) |
−0.0307319 | + | 0.999528i | \(0.509784\pi\) | |||||||
\(258\) | 5.06870 | − | 2.28424i | 0.315563 | − | 0.142210i | ||||
\(259\) | −0.117200 | − | 0.0676656i | −0.00728247 | − | 0.00420453i | ||||
\(260\) | −16.6368 | + | 23.8941i | −1.03177 | + | 1.48185i | ||||
\(261\) | 10.9796 | − | 12.4181i | 0.679622 | − | 0.768658i | ||||
\(262\) | −22.0902 | − | 22.0902i | −1.36473 | − | 1.36473i | ||||
\(263\) | 14.1097 | − | 3.78069i | 0.870044 | − | 0.233127i | 0.203937 | − | 0.978984i | \(-0.434626\pi\) |
0.666107 | + | 0.745857i | \(0.267960\pi\) | |||||||
\(264\) | 0.229543 | + | 1.40805i | 0.0141274 | + | 0.0866598i | ||||
\(265\) | −2.95567 | − | 0.250707i | −0.181565 | − | 0.0154008i | ||||
\(266\) | 0.689128 | − | 0.397868i | 0.0422532 | − | 0.0243949i | ||||
\(267\) | 0.492065 | + | 0.0494705i | 0.0301139 | + | 0.00302754i | ||||
\(268\) | 11.7947 | + | 44.0185i | 0.720478 | + | 2.68886i | ||||
\(269\) | 3.76010 | 0.229257 | 0.114629 | − | 0.993408i | \(-0.463432\pi\) | ||||
0.114629 | + | 0.993408i | \(0.463432\pi\) | |||||||
\(270\) | 16.5883 | + | 21.2867i | 1.00953 | + | 1.29547i | ||||
\(271\) | 14.0785 | 0.855209 | 0.427604 | − | 0.903966i | \(-0.359358\pi\) | ||||
0.427604 | + | 0.903966i | \(0.359358\pi\) | |||||||
\(272\) | 1.05804 | + | 3.94867i | 0.0641533 | + | 0.239423i | ||||
\(273\) | −5.14237 | − | 0.516996i | −0.311230 | − | 0.0312900i | ||||
\(274\) | 19.6920 | − | 11.3692i | 1.18964 | − | 0.686837i | ||||
\(275\) | −0.811983 | + | 0.978152i | −0.0489644 | + | 0.0589848i | ||||
\(276\) | 3.35219 | + | 20.5629i | 0.201778 | + | 1.23774i | ||||
\(277\) | −2.02071 | + | 0.541447i | −0.121413 | + | 0.0325324i | −0.319014 | − | 0.947750i | \(-0.603352\pi\) |
0.197601 | + | 0.980283i | \(0.436685\pi\) | |||||||
\(278\) | −12.9892 | − | 12.9892i | −0.779040 | − | 0.779040i | ||||
\(279\) | −0.185193 | − | 0.552907i | −0.0110872 | − | 0.0331017i | ||||
\(280\) | 5.54730 | − | 0.993284i | 0.331514 | − | 0.0593600i | ||||
\(281\) | 8.02672 | + | 4.63423i | 0.478834 | + | 0.276455i | 0.719930 | − | 0.694046i | \(-0.244174\pi\) |
−0.241097 | + | 0.970501i | \(0.577507\pi\) | |||||||
\(282\) | −15.8472 | + | 7.14164i | −0.943688 | + | 0.425278i | ||||
\(283\) | −31.1104 | − | 8.33602i | −1.84932 | − | 0.495525i | −0.849821 | − | 0.527071i | \(-0.823290\pi\) |
−0.999502 | + | 0.0315464i | \(0.989957\pi\) | |||||||
\(284\) | −3.66612 | − | 6.34991i | −0.217544 | − | 0.376798i | ||||
\(285\) | −0.963852 | − | 1.40711i | −0.0570937 | − | 0.0833501i | ||||
\(286\) | −1.13253 | + | 1.96159i | −0.0669677 | + | 0.115991i | ||||
\(287\) | −2.46601 | + | 2.46601i | −0.145564 | + | 0.145564i | ||||
\(288\) | 12.8143 | + | 6.38396i | 0.755090 | + | 0.376179i | ||||
\(289\) | − | 13.9387i | − | 0.819926i | ||||||
\(290\) | −25.9756 | + | 12.1964i | −1.52534 | + | 0.716198i | ||||
\(291\) | −15.4599 | + | 2.52028i | −0.906273 | + | 0.147742i | ||||
\(292\) | 11.4122 | − | 42.5909i | 0.667849 | − | 2.49244i | ||||
\(293\) | 1.70948 | − | 6.37987i | 0.0998690 | − | 0.372716i | −0.897844 | − | 0.440314i | \(-0.854867\pi\) |
0.997713 | + | 0.0675984i | \(0.0215336\pi\) | |||||||
\(294\) | −16.2801 | − | 19.9195i | −0.949475 | − | 1.16173i | ||||
\(295\) | 16.9217 | + | 6.10834i | 0.985222 | + | 0.355641i | ||||
\(296\) | − | 0.563547i | − | 0.0327555i | ||||||
\(297\) | 0.897240 | + | 0.969714i | 0.0520631 | + | 0.0562685i | ||||
\(298\) | −15.0032 | + | 15.0032i | −0.869114 | + | 0.869114i | ||||
\(299\) | −6.79528 | + | 11.7698i | −0.392981 | + | 0.680663i | ||||
\(300\) | −7.39200 | − | 28.4552i | −0.426777 | − | 1.64286i | ||||
\(301\) | −0.537559 | − | 0.931080i | −0.0309844 | − | 0.0536666i | ||||
\(302\) | 32.9794 | + | 8.83680i | 1.89775 | + | 0.508501i | ||||
\(303\) | 18.4966 | + | 13.3113i | 1.06260 | + | 0.764713i | ||||
\(304\) | 0.280292 | + | 0.161827i | 0.0160759 | + | 0.00928140i | ||||
\(305\) | 1.13652 | + | 6.34723i | 0.0650767 | + | 0.363441i | ||||
\(306\) | 29.0359 | + | 25.6726i | 1.65987 | + | 1.46761i | ||||
\(307\) | 5.82120 | + | 5.82120i | 0.332233 | + | 0.332233i | 0.853434 | − | 0.521201i | \(-0.174516\pi\) |
−0.521201 | + | 0.853434i | \(0.674516\pi\) | |||||||
\(308\) | 0.648600 | − | 0.173792i | 0.0369574 | − | 0.00990271i | ||||
\(309\) | −26.5093 | − | 10.0387i | −1.50806 | − | 0.571084i | ||||
\(310\) | −0.0853189 | + | 1.00585i | −0.00484579 | + | 0.0571286i | ||||
\(311\) | 9.98678 | − | 5.76587i | 0.566299 | − | 0.326953i | −0.189371 | − | 0.981906i | \(-0.560645\pi\) |
0.755670 | + | 0.654953i | \(0.227312\pi\) | |||||||
\(312\) | −8.84250 | − | 19.6214i | −0.500608 | − | 1.11084i | ||||
\(313\) | 1.72368 | + | 6.43287i | 0.0974283 | + | 0.363607i | 0.997376 | − | 0.0723896i | \(-0.0230625\pi\) |
−0.899948 | + | 0.435997i | \(0.856396\pi\) | |||||||
\(314\) | 39.3311 | 2.21958 | ||||||||
\(315\) | 3.77488 | − | 3.60352i | 0.212691 | − | 0.203036i | ||||
\(316\) | 46.9331 | 2.64020 | ||||||||
\(317\) | 0.519254 | + | 1.93788i | 0.0291642 | + | 0.108842i | 0.978974 | − | 0.203987i | \(-0.0653900\pi\) |
−0.949809 | + | 0.312829i | \(0.898723\pi\) | |||||||
\(318\) | 3.11730 | − | 4.33164i | 0.174810 | − | 0.242906i | ||||
\(319\) | −1.21661 | + | 0.702408i | −0.0681169 | + | 0.0393273i | ||||
\(320\) | −18.1009 | − | 21.4563i | −1.01187 | − | 1.19944i | ||||
\(321\) | −11.0270 | + | 9.01232i | −0.615467 | + | 0.503018i | ||||
\(322\) | 6.18441 | − | 1.65711i | 0.344644 | − | 0.0923470i | ||||
\(323\) | −1.73205 | − | 1.73205i | −0.0963739 | − | 0.0963739i | ||||
\(324\) | −30.3229 | + | 3.74247i | −1.68461 | + | 0.207915i | ||||
\(325\) | 8.01276 | − | 17.4236i | 0.444468 | − | 0.966488i | ||||
\(326\) | −27.7290 | − | 16.0094i | −1.53577 | − | 0.886677i | ||||
\(327\) | 1.52800 | − | 15.1985i | 0.0844986 | − | 0.840477i | ||||
\(328\) | −14.0277 | − | 3.75870i | −0.774548 | − | 0.207540i | ||||
\(329\) | 1.68067 | + | 2.91101i | 0.0926585 | + | 0.160489i | ||||
\(330\) | −0.760104 | − | 2.15716i | −0.0418424 | − | 0.118748i | ||||
\(331\) | −11.7700 | + | 20.3862i | −0.646937 | + | 1.12053i | 0.336913 | + | 0.941536i | \(0.390617\pi\) |
−0.983850 | + | 0.178992i | \(0.942716\pi\) | |||||||
\(332\) | 12.9274 | − | 12.9274i | 0.709484 | − | 0.709484i | ||||
\(333\) | −0.288174 | − | 0.435088i | −0.0157919 | − | 0.0238427i | ||||
\(334\) | 45.8229i | 2.50732i | ||||||||
\(335\) | −12.7576 | − | 27.1709i | −0.697025 | − | 1.48450i | ||||
\(336\) | −0.350716 | + | 0.926137i | −0.0191331 | + | 0.0505249i | ||||
\(337\) | −2.94873 | + | 11.0048i | −0.160627 | + | 0.599470i | 0.837930 | + | 0.545778i | \(0.183766\pi\) |
−0.998558 | + | 0.0536923i | \(0.982901\pi\) | |||||||
\(338\) | 1.02885 | − | 3.83973i | 0.0559622 | − | 0.208854i | ||||
\(339\) | −8.26128 | + | 21.8156i | −0.448691 | + | 1.18486i | ||||
\(340\) | −17.9454 | − | 38.2195i | −0.973224 | − | 2.07274i | ||||
\(341\) | 0.0494178i | 0.00267612i | ||||||||
\(342\) | 3.06276 | − | 0.188289i | 0.165615 | − | 0.0101815i | ||||
\(343\) | −7.36850 | + | 7.36850i | −0.397861 | + | 0.397861i | ||||
\(344\) | 2.23851 | − | 3.87721i | 0.120692 | − | 0.209045i | ||||
\(345\) | −4.56071 | − | 12.9432i | −0.245540 | − | 0.696837i | ||||
\(346\) | 12.0546 | + | 20.8792i | 0.648059 | + | 1.12247i | ||||
\(347\) | −13.8028 | − | 3.69845i | −0.740974 | − | 0.198543i | −0.131463 | − | 0.991321i | \(-0.541967\pi\) |
−0.609511 | + | 0.792778i | \(0.708634\pi\) | |||||||
\(348\) | 3.24988 | − | 32.3254i | 0.174212 | − | 1.73282i | ||||
\(349\) | 15.2113 | + | 8.78224i | 0.814242 | + | 0.470103i | 0.848427 | − | 0.529313i | \(-0.177550\pi\) |
−0.0341849 | + | 0.999416i | \(0.510884\pi\) | |||||||
\(350\) | −8.47339 | + | 3.13496i | −0.452922 | + | 0.167570i | ||||
\(351\) | −16.8605 | − | 10.6271i | −0.899944 | − | 0.567232i | ||||
\(352\) | −0.857952 | − | 0.857952i | −0.0457290 | − | 0.0457290i | ||||
\(353\) | 16.8366 | − | 4.51136i | 0.896124 | − | 0.240116i | 0.218773 | − | 0.975776i | \(-0.429795\pi\) |
0.677351 | + | 0.735660i | \(0.263128\pi\) | |||||||
\(354\) | −25.0617 | + | 20.4828i | −1.33201 | + | 1.08865i | ||||
\(355\) | 3.11419 | + | 3.69146i | 0.165284 | + | 0.195922i | ||||
\(356\) | 0.839435 | − | 0.484648i | 0.0444900 | − | 0.0256863i | ||||
\(357\) | 4.37799 | − | 6.08342i | 0.231708 | − | 0.321969i | ||||
\(358\) | −9.07828 | − | 33.8806i | −0.479802 | − | 1.79064i | ||||
\(359\) | −34.0577 | −1.79750 | −0.898748 | − | 0.438465i | \(-0.855522\pi\) | ||||
−0.898748 | + | 0.438465i | \(0.855522\pi\) | |||||||
\(360\) | 20.8551 | + | 6.11048i | 1.09916 | + | 0.322051i | ||||
\(361\) | 18.8061 | 0.989793 | ||||||||
\(362\) | 4.70673 | + | 17.5658i | 0.247380 | + | 0.923236i | ||||
\(363\) | 7.78196 | + | 17.2681i | 0.408447 | + | 0.906340i | ||||
\(364\) | −8.77260 | + | 5.06486i | −0.459809 | + | 0.265471i | ||||
\(365\) | −2.45471 | + | 28.9395i | −0.128486 | + | 1.51476i | ||||
\(366\) | −10.8492 | − | 4.10847i | −0.567099 | − | 0.214753i | ||||
\(367\) | −13.6337 | + | 3.65315i | −0.711675 | + | 0.190693i | −0.596454 | − | 0.802647i | \(-0.703424\pi\) |
−0.115221 | + | 0.993340i | \(0.536758\pi\) | |||||||
\(368\) | 1.84141 | + | 1.84141i | 0.0959901 | + | 0.0959901i | ||||
\(369\) | −12.7521 | + | 4.27125i | −0.663850 | + | 0.222352i | ||||
\(370\) | 0.159239 | + | 0.889320i | 0.00827845 | + | 0.0462336i | ||||
\(371\) | −0.893752 | − | 0.516008i | −0.0464013 | − | 0.0267898i | ||||
\(372\) | −0.927616 | − | 0.667568i | −0.0480947 | − | 0.0346118i | ||||
\(373\) | 20.7962 | + | 5.57233i | 1.07679 | + | 0.288524i | 0.753279 | − | 0.657701i | \(-0.228471\pi\) |
0.323508 | + | 0.946225i | \(0.395138\pi\) | |||||||
\(374\) | −1.64237 | − | 2.84467i | −0.0849251 | − | 0.147095i | ||||
\(375\) | 8.09623 | + | 17.5912i | 0.418087 | + | 0.908407i | ||||
\(376\) | −6.99867 | + | 12.1221i | −0.360929 | + | 0.625147i | ||||
\(377\) | 14.9854 | − | 14.9854i | 0.771788 | − | 0.771788i | ||||
\(378\) | 2.07647 | + | 9.15668i | 0.106802 | + | 0.470969i | ||||
\(379\) | − | 9.52893i | − | 0.489468i | −0.969590 | − | 0.244734i | \(-0.921299\pi\) | ||
0.969590 | − | 0.244734i | \(-0.0787007\pi\) | |||||||
\(380\) | −3.14429 | − | 1.13501i | −0.161299 | − | 0.0582249i | ||||
\(381\) | 10.4193 | + | 12.7485i | 0.533795 | + | 0.653124i | ||||
\(382\) | 6.89676 | − | 25.7391i | 0.352869 | − | 1.31693i | ||||
\(383\) | −2.57714 | + | 9.61802i | −0.131686 | + | 0.491458i | −0.999990 | − | 0.00457478i | \(-0.998544\pi\) |
0.868304 | + | 0.496033i | \(0.165210\pi\) | |||||||
\(384\) | 33.5306 | − | 5.46620i | 1.71110 | − | 0.278946i | ||||
\(385\) | −0.400355 | + | 0.187980i | −0.0204040 | + | 0.00958035i | ||||
\(386\) | 12.8173i | 0.652385i | ||||||||
\(387\) | −0.254398 | − | 4.13809i | −0.0129318 | − | 0.210351i | ||||
\(388\) | −21.7088 | + | 21.7088i | −1.10210 | + | 1.10210i | ||||
\(389\) | 14.5672 | − | 25.2312i | 0.738587 | − | 1.27927i | −0.214544 | − | 0.976714i | \(-0.568827\pi\) |
0.953131 | − | 0.302557i | \(-0.0978401\pi\) | |||||||
\(390\) | 19.4985 | + | 28.4655i | 0.987344 | + | 1.44141i | ||||
\(391\) | −9.85441 | − | 17.0683i | −0.498359 | − | 0.863183i | ||||
\(392\) | −20.0106 | − | 5.36182i | −1.01069 | − | 0.270813i | ||||
\(393\) | −21.2392 | + | 9.57158i | −1.07138 | + | 0.482822i | ||||
\(394\) | −6.60804 | − | 3.81516i | −0.332908 | − | 0.192205i | ||||
\(395\) | −30.4299 | + | 5.44870i | −1.53110 | + | 0.274154i | ||||
\(396\) | 2.53756 | + | 0.515445i | 0.127517 | + | 0.0259021i | ||||
\(397\) | −18.9354 | − | 18.9354i | −0.950338 | − | 0.950338i | 0.0484856 | − | 0.998824i | \(-0.484561\pi\) |
−0.998824 | + | 0.0484856i | \(0.984561\pi\) | |||||||
\(398\) | 38.5836 | − | 10.3384i | 1.93402 | − | 0.518219i | ||||
\(399\) | −0.0954754 | − | 0.585663i | −0.00477975 | − | 0.0293198i | ||||
\(400\) | −2.82747 | − | 2.34714i | −0.141374 | − | 0.117357i | ||||
\(401\) | 21.2096 | − | 12.2453i | 1.05916 | − | 0.611503i | 0.133957 | − | 0.990987i | \(-0.457232\pi\) |
0.925198 | + | 0.379484i | \(0.123898\pi\) | |||||||
\(402\) | 53.7334 | + | 5.40217i | 2.67998 | + | 0.269436i | ||||
\(403\) | −0.192950 | − | 0.720098i | −0.00961151 | − | 0.0358706i | ||||
\(404\) | 44.6649 | 2.22216 | ||||||||
\(405\) | 19.2259 | − | 5.94683i | 0.955343 | − | 0.295500i | ||||
\(406\) | −9.98392 | −0.495493 | ||||||||
\(407\) | 0.0114472 | + | 0.0427215i | 0.000567417 | + | 0.00211763i | ||||
\(408\) | 31.0541 | + | 3.12207i | 1.53741 | + | 0.154566i | ||||
\(409\) | 12.2649 | − | 7.08116i | 0.606462 | − | 0.350141i | −0.165118 | − | 0.986274i | \(-0.552800\pi\) |
0.771579 | + | 0.636133i | \(0.219467\pi\) | |||||||
\(410\) | 23.1988 | + | 1.96778i | 1.14571 | + | 0.0971817i | ||||
\(411\) | −2.72823 | − | 16.7354i | −0.134574 | − | 0.825498i | ||||
\(412\) | −53.6652 | + | 14.3795i | −2.64389 | + | 0.708429i | ||||
\(413\) | 4.42589 | + | 4.42589i | 0.217784 | + | 0.217784i | ||||
\(414\) | 24.1957 | + | 4.91477i | 1.18915 | + | 0.241548i | ||||
\(415\) | −6.88091 | + | 9.88252i | −0.337770 | + | 0.485114i | ||||
\(416\) | 15.8516 | + | 9.15193i | 0.777189 | + | 0.448710i | ||||
\(417\) | −12.4888 | + | 5.62816i | −0.611581 | + | 0.275612i | ||||
\(418\) | −0.251199 | − | 0.0673086i | −0.0122866 | − | 0.00329217i | ||||
\(419\) | −13.8808 | − | 24.0422i | −0.678120 | − | 1.17454i | −0.975546 | − | 0.219794i | \(-0.929461\pi\) |
0.297426 | − | 0.954745i | \(-0.403872\pi\) | |||||||
\(420\) | 1.87970 | − | 10.0544i | 0.0917198 | − | 0.490603i | ||||
\(421\) | −0.429901 | + | 0.744611i | −0.0209521 | + | 0.0362901i | −0.876311 | − | 0.481745i | \(-0.840003\pi\) |
0.855359 | + | 0.518035i | \(0.173336\pi\) | |||||||
\(422\) | −7.47211 | + | 7.47211i | −0.363737 | + | 0.363737i | ||||
\(423\) | 0.795372 | + | 12.9377i | 0.0386723 | + | 0.629053i | ||||
\(424\) | − | 4.29753i | − | 0.208706i | ||||||
\(425\) | 16.0723 | + | 22.6969i | 0.779620 | + | 1.10096i | ||||
\(426\) | −8.57586 | + | 1.39805i | −0.415502 | + | 0.0677356i | ||||
\(427\) | −0.580639 | + | 2.16698i | −0.0280991 | + | 0.104867i | ||||
\(428\) | −7.22434 | + | 26.9616i | −0.349202 | + | 1.30324i | ||||
\(429\) | 1.06890 | + | 1.30785i | 0.0516070 | + | 0.0631436i | ||||
\(430\) | −2.43697 | + | 6.75106i | −0.117521 | + | 0.325565i | ||||
\(431\) | − | 25.5770i | − | 1.23200i | −0.787746 | − | 0.616000i | \(-0.788752\pi\) | ||
0.787746 | − | 0.616000i | \(-0.211248\pi\) | |||||||
\(432\) | −2.80308 | + | 2.59359i | −0.134863 | + | 0.124784i | ||||
\(433\) | 6.30733 | − | 6.30733i | 0.303111 | − | 0.303111i | −0.539119 | − | 0.842230i | \(-0.681243\pi\) |
0.842230 | + | 0.539119i | \(0.181243\pi\) | |||||||
\(434\) | −0.175604 | + | 0.304155i | −0.00842927 | + | 0.0145999i | ||||
\(435\) | 1.64569 | + | 21.3360i | 0.0789050 | + | 1.02298i | ||||
\(436\) | −14.9694 | − | 25.9277i | −0.716903 | − | 1.24171i | ||||
\(437\) | −1.50722 | − | 0.403859i | −0.0721002 | − | 0.0193192i | ||||
\(438\) | −42.4118 | − | 30.5220i | −2.02651 | − | 1.45840i | ||||
\(439\) | −12.4666 | − | 7.19760i | −0.594999 | − | 0.343523i | 0.172073 | − | 0.985084i | \(-0.444954\pi\) |
−0.767072 | + | 0.641561i | \(0.778287\pi\) | |||||||
\(440\) | −1.51149 | − | 1.05241i | −0.0720577 | − | 0.0501716i | ||||
\(441\) | −18.1910 | + | 6.09297i | −0.866240 | + | 0.290142i | ||||
\(442\) | 35.0390 | + | 35.0390i | 1.66663 | + | 1.66663i | ||||
\(443\) | −21.1741 | + | 5.67359i | −1.00601 | + | 0.269560i | −0.723962 | − | 0.689839i | \(-0.757681\pi\) |
−0.282050 | + | 0.959400i | \(0.591014\pi\) | |||||||
\(444\) | −0.956558 | − | 0.362236i | −0.0453962 | − | 0.0171910i | ||||
\(445\) | −0.487997 | + | 0.411684i | −0.0231333 | + | 0.0195157i | ||||
\(446\) | −36.8430 | + | 21.2713i | −1.74457 | + | 1.00723i | ||||
\(447\) | 6.50084 | + | 14.4253i | 0.307479 | + | 0.682293i | ||||
\(448\) | −2.52777 | − | 9.43376i | −0.119426 | − | 0.445703i | ||||
\(449\) | −23.6447 | −1.11586 | −0.557931 | − | 0.829888i | \(-0.688404\pi\) | ||||
−0.557931 | + | 0.829888i | \(0.688404\pi\) | |||||||
\(450\) | −34.6376 | − | 3.74986i | −1.63283 | − | 0.176770i | ||||
\(451\) | 1.13976 | 0.0536693 | ||||||||
\(452\) | 11.8335 | + | 44.1632i | 0.556601 | + | 2.07726i | ||||
\(453\) | 14.8722 | − | 20.6657i | 0.698759 | − | 0.970958i | ||||
\(454\) | −22.6906 | + | 13.1004i | −1.06492 | + | 0.614833i | ||||
\(455\) | 5.09986 | − | 4.30234i | 0.239085 | − | 0.201697i | ||||
\(456\) | 1.91329 | − | 1.56373i | 0.0895981 | − | 0.0732281i | ||||
\(457\) | 5.50956 | − | 1.47628i | 0.257726 | − | 0.0690575i | −0.127642 | − | 0.991820i | \(-0.540741\pi\) |
0.385369 | + | 0.922763i | \(0.374074\pi\) | |||||||
\(458\) | −8.01095 | − | 8.01095i | −0.374327 | − | 0.374327i | ||||
\(459\) | 25.5719 | − | 13.4694i | 1.19359 | − | 0.628697i | ||||
\(460\) | −22.0736 | − | 15.3692i | −1.02919 | − | 0.716591i | ||||
\(461\) | −27.8943 | − | 16.1048i | −1.29916 | − | 0.750073i | −0.318905 | − | 0.947787i | \(-0.603315\pi\) |
−0.980260 | + | 0.197713i | \(0.936648\pi\) | |||||||
\(462\) | 0.0795993 | − | 0.791745i | 0.00370329 | − | 0.0368353i | ||||
\(463\) | 6.17544 | + | 1.65471i | 0.286997 | + | 0.0769007i | 0.399446 | − | 0.916757i | \(-0.369203\pi\) |
−0.112448 | + | 0.993658i | \(0.535869\pi\) | |||||||
\(464\) | −2.03040 | − | 3.51676i | −0.0942590 | − | 0.163261i | ||||
\(465\) | 0.678938 | + | 0.325138i | 0.0314850 | + | 0.0150779i | ||||
\(466\) | 12.9869 | − | 22.4940i | 0.601608 | − | 1.04202i | ||||
\(467\) | 12.7982 | − | 12.7982i | 0.592230 | − | 0.592230i | −0.346003 | − | 0.938233i | \(-0.612461\pi\) |
0.938233 | + | 0.346003i | \(0.112461\pi\) | |||||||
\(468\) | −38.9889 | + | 2.39692i | −1.80226 | + | 0.110798i | ||||
\(469\) | − | 10.4433i | − | 0.482228i | ||||||
\(470\) | 7.61916 | − | 21.1071i | 0.351446 | − | 0.973599i | ||||
\(471\) | 10.3870 | − | 27.4290i | 0.478609 | − | 1.26386i | ||||
\(472\) | −6.74597 | + | 25.1763i | −0.310508 | + | 1.15883i | ||||
\(473\) | −0.0909406 | + | 0.339395i | −0.00418145 | + | 0.0156054i | ||||
\(474\) | 19.6968 | − | 52.0135i | 0.904706 | − | 2.38906i | ||||
\(475\) | 2.17043 | + | 0.370870i | 0.0995859 | + | 0.0170167i | ||||
\(476\) | − | 14.6900i | − | 0.673314i | ||||||
\(477\) | −2.19758 | − | 3.31792i | −0.100620 | − | 0.151917i | ||||
\(478\) | 36.5795 | − | 36.5795i | 1.67311 | − | 1.67311i | ||||
\(479\) | 1.76166 | − | 3.05128i | 0.0804921 | − | 0.139416i | −0.822969 | − | 0.568086i | \(-0.807684\pi\) |
0.903461 | + | 0.428669i | \(0.141017\pi\) | |||||||
\(480\) | −17.4320 | + | 6.14239i | −0.795656 | + | 0.280360i | ||||
\(481\) | −0.333609 | − | 0.577827i | −0.0152112 | − | 0.0263467i | ||||
\(482\) | −64.9482 | − | 17.4028i | −2.95831 | − | 0.792677i | ||||
\(483\) | 0.477604 | − | 4.75056i | 0.0217318 | − | 0.216158i | ||||
\(484\) | 32.1495 | + | 18.5615i | 1.46134 | + | 0.843706i | ||||
\(485\) | 11.5550 | − | 16.5956i | 0.524686 | − | 0.753566i | ||||
\(486\) | −8.57829 | + | 35.1759i | −0.389119 | + | 1.59561i | ||||
\(487\) | 29.3442 | + | 29.3442i | 1.32971 | + | 1.32971i | 0.905616 | + | 0.424098i | \(0.139409\pi\) |
0.424098 | + | 0.905616i | \(0.360591\pi\) | |||||||
\(488\) | −9.02373 | + | 2.41790i | −0.408485 | + | 0.109453i | ||||
\(489\) | −18.4877 | + | 15.1099i | −0.836044 | + | 0.683295i | ||||
\(490\) | 33.0933 | + | 2.80705i | 1.49500 | + | 0.126810i | ||||
\(491\) | 17.9001 | − | 10.3346i | 0.807819 | − | 0.466395i | −0.0383788 | − | 0.999263i | \(-0.512219\pi\) |
0.846198 | + | 0.532869i | \(0.178886\pi\) | |||||||
\(492\) | −15.3967 | + | 21.3944i | −0.694135 | + | 0.964533i | ||||
\(493\) | 7.95433 | + | 29.6859i | 0.358245 | + | 1.33699i | ||||
\(494\) | 3.92319 | 0.176513 | ||||||||
\(495\) | −1.70511 | − | 0.0395999i | −0.0766391 | − | 0.00177988i | ||||
\(496\) | −0.142849 | −0.00641409 | ||||||||
\(497\) | 0.434891 | + | 1.62304i | 0.0195075 | + | 0.0728031i | ||||
\(498\) | −8.90140 | − | 19.7521i | −0.398881 | − | 0.885114i | ||||
\(499\) | −22.6691 | + | 13.0880i | −1.01481 | + | 0.585901i | −0.912596 | − | 0.408862i | \(-0.865926\pi\) |
−0.102214 | + | 0.994762i | \(0.532593\pi\) | |||||||
\(500\) | 33.0194 | + | 18.7158i | 1.47667 | + | 0.836996i | ||||
\(501\) | 31.9563 | + | 12.1014i | 1.42770 | + | 0.540652i | ||||
\(502\) | 45.8168 | − | 12.2766i | 2.04490 | − | 0.547930i | ||||
\(503\) | 6.72022 | + | 6.72022i | 0.299640 | + | 0.299640i | 0.840873 | − | 0.541233i | \(-0.182042\pi\) |
−0.541233 | + | 0.840873i | \(0.682042\pi\) | |||||||
\(504\) | 5.66431 | + | 5.00820i | 0.252308 | + | 0.223083i | ||||
\(505\) | −28.9593 | + | 5.18536i | −1.28867 | + | 0.230746i | ||||
\(506\) | −1.81213 | − | 1.04624i | −0.0805592 | − | 0.0465109i | ||||
\(507\) | −2.40607 | − | 1.73155i | −0.106857 | − | 0.0769008i | ||||
\(508\) | 31.1707 | + | 8.35217i | 1.38298 | + | 0.370568i | ||||
\(509\) | 11.9676 | + | 20.7285i | 0.530454 | + | 0.918773i | 0.999369 | + | 0.0355293i | \(0.0113117\pi\) |
−0.468915 | + | 0.883243i | \(0.655355\pi\) | |||||||
\(510\) | −49.8879 | + | 3.84797i | −2.20908 | + | 0.170391i | ||||
\(511\) | −5.05232 | + | 8.75087i | −0.223501 | + | 0.387116i | ||||
\(512\) | 5.84717 | − | 5.84717i | 0.258411 | − | 0.258411i | ||||
\(513\) | 0.677538 | − | 2.18566i | 0.0299141 | − | 0.0964991i | ||||
\(514\) | − | 17.0546i | − | 0.752246i | ||||||
\(515\) | 33.1254 | − | 15.5535i | 1.45968 | − | 0.685368i | ||||
\(516\) | −5.14226 | − | 6.29181i | −0.226376 | − | 0.276981i | ||||
\(517\) | 0.284325 | − | 1.06111i | 0.0125046 | − | 0.0466678i | ||||
\(518\) | −0.0813543 | + | 0.303618i | −0.00357450 | + | 0.0133402i | ||||
\(519\) | 17.7444 | − | 2.89271i | 0.778893 | − | 0.126976i | ||||
\(520\) | 26.1340 | + | 9.43375i | 1.14605 | + | 0.413697i | ||||
\(521\) | 3.23141i | 0.141571i | 0.997492 | + | 0.0707853i | \(0.0225505\pi\) | ||||
−0.997492 | + | 0.0707853i | \(0.977449\pi\) | |||||||
\(522\) | −34.4606 | − | 17.1679i | −1.50830 | − | 0.751420i | ||||
\(523\) | −8.67002 | + | 8.67002i | −0.379114 | + | 0.379114i | −0.870782 | − | 0.491669i | \(-0.836387\pi\) |
0.491669 | + | 0.870782i | \(0.336387\pi\) | |||||||
\(524\) | −22.8301 | + | 39.5429i | −0.997339 | + | 1.72744i | ||||
\(525\) | −0.0514732 | + | 6.73715i | −0.00224648 | + | 0.294033i | ||||
\(526\) | −16.9641 | − | 29.3827i | −0.739672 | − | 1.28115i | ||||
\(527\) | 1.04427 | + | 0.279813i | 0.0454893 | + | 0.0121888i | ||||
\(528\) | 0.295074 | − | 0.132977i | 0.0128415 | − | 0.00578707i | ||||
\(529\) | 9.04559 | + | 5.22247i | 0.393286 | + | 0.227064i | ||||
\(530\) | 1.21434 | + | 6.78183i | 0.0527474 | + | 0.294584i | ||||
\(531\) | 7.66587 | + | 22.8870i | 0.332670 | + | 0.993213i | ||||
\(532\) | −0.822392 | − | 0.822392i | −0.0356552 | − | 0.0356552i | ||||
\(533\) | −16.6082 | + | 4.45016i | −0.719381 | + | 0.192758i | ||||
\(534\) | −0.184817 | − | 1.13370i | −0.00799780 | − | 0.0490599i | ||||
\(535\) | 1.55392 | − | 18.3197i | 0.0671820 | − | 0.792031i | ||||
\(536\) | 37.6619 | − | 21.7441i | 1.62675 | − | 0.939202i | ||||
\(537\) | −26.0254 | − | 2.61650i | −1.12308 | − | 0.112910i | ||||
\(538\) | −2.26038 | − | 8.43586i | −0.0974520 | − | 0.363696i | ||||
\(539\) | 1.62588 | 0.0700317 | ||||||||
\(540\) | 23.7771 | − | 31.4715i | 1.02320 | − | 1.35432i | ||||
\(541\) | −11.1502 | −0.479386 | −0.239693 | − | 0.970849i | \(-0.577047\pi\) | ||||
−0.239693 | + | 0.970849i | \(0.577047\pi\) | |||||||
\(542\) | −8.46330 | − | 31.5855i | −0.363530 | − | 1.35671i | ||||
\(543\) | 13.4931 | + | 1.35655i | 0.579046 | + | 0.0582153i | ||||
\(544\) | −22.9878 | + | 13.2720i | −0.985592 | + | 0.569032i | ||||
\(545\) | 12.7157 | + | 15.0728i | 0.544682 | + | 0.645649i | ||||
\(546\) | 1.93144 | + | 11.8478i | 0.0826582 | + | 0.507040i | ||||
\(547\) | −13.2305 | + | 3.54511i | −0.565697 | + | 0.151578i | −0.530323 | − | 0.847796i | \(-0.677929\pi\) |
−0.0353748 | + | 0.999374i | \(0.511263\pi\) | |||||||
\(548\) | −23.5000 | − | 23.5000i | −1.00387 | − | 1.00387i | ||||
\(549\) | −5.73038 | + | 6.48111i | −0.244567 | + | 0.276607i | ||||
\(550\) | 2.68263 | + | 1.23369i | 0.114388 | + | 0.0526045i | ||||
\(551\) | 2.10722 | + | 1.21661i | 0.0897708 | + | 0.0518292i | ||||
\(552\) | 18.1264 | − | 8.16876i | 0.771511 | − | 0.347686i | ||||
\(553\) | −10.3889 | − | 2.78371i | −0.441782 | − | 0.118375i | ||||
\(554\) | 2.42950 | + | 4.20802i | 0.103220 | + | 0.178781i | ||||
\(555\) | 0.662255 | + | 0.123811i | 0.0281111 | + | 0.00525547i | ||||
\(556\) | −13.4243 | + | 23.2516i | −0.569317 | + | 0.986086i | ||||
\(557\) | −11.8934 | + | 11.8934i | −0.503938 | + | 0.503938i | −0.912659 | − | 0.408721i | \(-0.865975\pi\) |
0.408721 | + | 0.912659i | \(0.365975\pi\) | |||||||
\(558\) | −1.12913 | + | 0.747864i | −0.0477999 | + | 0.0316596i | ||||
\(559\) | − | 5.30061i | − | 0.224192i | ||||||
\(560\) | −0.543381 | − | 1.15728i | −0.0229620 | − | 0.0489039i | ||||
\(561\) | −2.41758 | + | 0.394116i | −0.102070 | + | 0.0166396i | ||||
\(562\) | 5.57173 | − | 20.7940i | 0.235029 | − | 0.877141i | ||||
\(563\) | −6.37683 | + | 23.7986i | −0.268751 | + | 1.00299i | 0.691163 | + | 0.722699i | \(0.257099\pi\) |
−0.959914 | + | 0.280294i | \(0.909568\pi\) | |||||||
\(564\) | 16.0772 | + | 19.6713i | 0.676974 | + | 0.828310i | ||||
\(565\) | −12.7996 | − | 27.2602i | −0.538483 | − | 1.14685i | ||||
\(566\) | 74.8082i | 3.14442i | ||||||||
\(567\) | 6.93413 | + | 0.970098i | 0.291206 | + | 0.0407403i | ||||
\(568\) | −4.94768 | + | 4.94768i | −0.207600 | + | 0.207600i | ||||
\(569\) | −6.24856 | + | 10.8228i | −0.261953 | + | 0.453716i | −0.966761 | − | 0.255682i | \(-0.917700\pi\) |
0.704808 | + | 0.709399i | \(0.251033\pi\) | |||||||
\(570\) | −2.57747 | + | 3.00831i | −0.107958 | + | 0.126004i | ||||
\(571\) | 13.7065 | + | 23.7404i | 0.573601 | + | 0.993506i | 0.996192 | + | 0.0871853i | \(0.0277872\pi\) |
−0.422591 | + | 0.906320i | \(0.638879\pi\) | |||||||
\(572\) | 3.19776 | + | 0.856838i | 0.133705 | + | 0.0358262i | ||||
\(573\) | −16.1287 | − | 11.6072i | −0.673787 | − | 0.484897i | ||||
\(574\) | 7.01498 | + | 4.05010i | 0.292800 | + | 0.169048i | ||||
\(575\) | 16.0961 | + | 7.40224i | 0.671252 | + | 0.308695i | ||||
\(576\) | 7.49704 | − | 36.9083i | 0.312377 | − | 1.53785i | ||||
\(577\) | −11.1638 | − | 11.1638i | −0.464755 | − | 0.464755i | 0.435455 | − | 0.900210i | \(-0.356587\pi\) |
−0.900210 | + | 0.435455i | \(0.856587\pi\) | |||||||
\(578\) | −31.2719 | + | 8.37928i | −1.30074 | + | 0.348532i | ||||
\(579\) | 8.93865 | + | 3.38495i | 0.371478 | + | 0.140674i | ||||
\(580\) | 27.0449 | + | 32.0582i | 1.12298 | + | 1.33114i | ||||
\(581\) | −3.62831 | + | 2.09481i | −0.150528 | + | 0.0869072i | ||||
\(582\) | 14.9480 | + | 33.1695i | 0.619615 | + | 1.37492i | ||||
\(583\) | 0.0872947 | + | 0.325788i | 0.00361538 | + | 0.0134928i | ||||
\(584\) | −42.0778 | −1.74119 | ||||||||
\(585\) | 25.0009 | − | 6.08050i | 1.03366 | − | 0.251398i | ||||
\(586\) | −15.3410 | −0.633733 | ||||||||
\(587\) | 4.76574 | + | 17.7860i | 0.196703 | + | 0.734106i | 0.991819 | + | 0.127649i | \(0.0407431\pi\) |
−0.795116 | + | 0.606457i | \(0.792590\pi\) | |||||||
\(588\) | −21.9635 | + | 30.5193i | −0.905758 | + | 1.25859i | ||||
\(589\) | 0.0741267 | − | 0.0427971i | 0.00305434 | − | 0.00176342i | ||||
\(590\) | 3.53169 | − | 41.6363i | 0.145397 | − | 1.71414i | ||||
\(591\) | −4.40577 | + | 3.60082i | −0.181229 | + | 0.148118i | ||||
\(592\) | −0.123492 | + | 0.0330896i | −0.00507549 | + | 0.00135997i | ||||
\(593\) | 14.5424 | + | 14.5424i | 0.597186 | + | 0.597186i | 0.939563 | − | 0.342377i | \(-0.111232\pi\) |
−0.342377 | + | 0.939563i | \(0.611232\pi\) | |||||||
\(594\) | 1.63620 | − | 2.59592i | 0.0671341 | − | 0.106512i | ||||
\(595\) | 1.70543 | + | 9.52450i | 0.0699158 | + | 0.390466i | ||||
\(596\) | 26.8568 | + | 15.5058i | 1.10010 | + | 0.635143i | ||||
\(597\) | 2.97970 | − | 29.6380i | 0.121951 | − | 1.21300i | ||||
\(598\) | 30.4907 | + | 8.16997i | 1.24686 | + | 0.334095i | ||||
\(599\) | −17.6972 | − | 30.6525i | −0.723089 | − | 1.25243i | −0.959756 | − | 0.280836i | \(-0.909388\pi\) |
0.236666 | − | 0.971591i | \(-0.423945\pi\) | |||||||
\(600\) | −24.4034 | + | 13.8418i | −0.996266 | + | 0.565090i | ||||
\(601\) | 7.31737 | − | 12.6741i | 0.298482 | − | 0.516986i | −0.677307 | − | 0.735700i | \(-0.736853\pi\) |
0.975789 | + | 0.218715i | \(0.0701864\pi\) | |||||||
\(602\) | −1.76575 | + | 1.76575i | −0.0719664 | + | 0.0719664i | ||||
\(603\) | 17.9579 | − | 36.0463i | 0.731304 | − | 1.46792i | ||||
\(604\) | − | 49.9026i | − | 2.03051i | ||||||
\(605\) | −22.9996 | − | 8.30230i | −0.935067 | − | 0.337537i | ||||
\(606\) | 18.7449 | − | 49.4997i | 0.761460 | − | 2.01079i | ||||
\(607\) | 2.02270 | − | 7.54883i | 0.0820989 | − | 0.306397i | −0.912650 | − | 0.408742i | \(-0.865968\pi\) |
0.994749 | + | 0.102344i | \(0.0326344\pi\) | |||||||
\(608\) | −0.543920 | + | 2.02994i | −0.0220589 | + | 0.0823248i | ||||
\(609\) | −2.63667 | + | 6.96266i | −0.106843 | + | 0.282141i | ||||
\(610\) | 13.5569 | − | 6.36544i | 0.548904 | − | 0.257729i | ||||
\(611\) | 16.5723i | 0.670444i | ||||||||
\(612\) | 25.2603 | − | 50.7040i | 1.02109 | − | 2.04959i | ||||
\(613\) | 3.49830 | − | 3.49830i | 0.141295 | − | 0.141295i | −0.632921 | − | 0.774216i | \(-0.718144\pi\) |
0.774216 | + | 0.632921i | \(0.218144\pi\) | |||||||
\(614\) | 9.56058 | − | 16.5594i | 0.385833 | − | 0.668283i | ||||
\(615\) | 7.49892 | − | 15.6589i | 0.302385 | − | 0.631427i | ||||
\(616\) | −0.320393 | − | 0.554937i | −0.0129090 | − | 0.0223590i | ||||
\(617\) | 23.9061 | + | 6.40561i | 0.962421 | + | 0.257880i | 0.705625 | − | 0.708585i | \(-0.250666\pi\) |
0.256796 | + | 0.966466i | \(0.417333\pi\) | |||||||
\(618\) | −6.58605 | + | 65.5090i | −0.264930 | + | 2.63516i | ||||
\(619\) | 15.4357 | + | 8.91182i | 0.620414 | + | 0.358196i | 0.777030 | − | 0.629463i | \(-0.216725\pi\) |
−0.156616 | + | 0.987660i | \(0.550059\pi\) | |||||||
\(620\) | 1.45232 | − | 0.260049i | 0.0583267 | − | 0.0104438i | ||||
\(621\) | 9.81737 | − | 15.5758i | 0.393958 | − | 0.625035i | ||||
\(622\) | −18.9394 | − | 18.9394i | −0.759402 | − | 0.759402i | ||||
\(623\) | −0.214559 | + | 0.0574910i | −0.00859614 | + | 0.00230333i | ||||
\(624\) | −3.78051 | + | 3.08979i | −0.151342 | + | 0.123691i | ||||
\(625\) | −23.5815 | − | 8.30133i | −0.943261 | − | 0.332053i | ||||
\(626\) | 13.3961 | − | 7.73424i | 0.535416 | − | 0.309122i | ||||
\(627\) | −0.113280 | + | 0.157408i | −0.00452396 | + | 0.00628625i | ||||
\(628\) | −14.8784 | − | 55.5270i | −0.593714 | − | 2.21577i | ||||
\(629\) | 0.967588 | 0.0385803 | ||||||||
\(630\) | −10.3539 | − | 6.30277i | −0.412508 | − | 0.251109i | ||||
\(631\) | −29.9153 | −1.19091 | −0.595454 | − | 0.803389i | \(-0.703028\pi\) | ||||
−0.595454 | + | 0.803389i | \(0.703028\pi\) | |||||||
\(632\) | −11.5919 | − | 43.2617i | −0.461102 | − | 1.72086i | ||||
\(633\) | 3.23763 | + | 7.18428i | 0.128684 | + | 0.285549i | ||||
\(634\) | 4.03553 | − | 2.32991i | 0.160271 | − | 0.0925327i | ||||
\(635\) | −21.1797 | − | 1.79651i | −0.840492 | − | 0.0712925i | ||||
\(636\) | −7.29457 | − | 2.76236i | −0.289249 | − | 0.109535i | ||||
\(637\) | −23.6917 | + | 6.34819i | −0.938701 | + | 0.251524i | ||||
\(638\) | 2.30723 | + | 2.30723i | 0.0913441 | + | 0.0913441i | ||||
\(639\) | −1.28983 | + | 6.34991i | −0.0510250 | + | 0.251199i | ||||
\(640\) | −25.0615 | + | 35.9939i | −0.990642 | + | 1.42278i | ||||
\(641\) | −13.7403 | − | 7.93299i | −0.542711 | − | 0.313334i | 0.203466 | − | 0.979082i | \(-0.434779\pi\) |
−0.746177 | + | 0.665748i | \(0.768113\pi\) | |||||||
\(642\) | 26.8482 | + | 19.3216i | 1.05961 | + | 0.762561i | ||||
\(643\) | −22.4568 | − | 6.01727i | −0.885608 | − | 0.237298i | −0.212783 | − | 0.977099i | \(-0.568253\pi\) |
−0.672825 | + | 0.739801i | \(0.734919\pi\) | |||||||
\(644\) | −4.67895 | − | 8.10419i | −0.184377 | − | 0.319350i | ||||
\(645\) | 4.06452 | + | 3.48241i | 0.160040 | + | 0.137120i | ||||
\(646\) | −2.84467 | + | 4.92712i | −0.111922 | + | 0.193855i | ||||
\(647\) | 8.90965 | − | 8.90965i | 0.350274 | − | 0.350274i | −0.509937 | − | 0.860212i | \(-0.670331\pi\) |
0.860212 | + | 0.509937i | \(0.170331\pi\) | |||||||
\(648\) | 10.9391 | + | 27.0265i | 0.429728 | + | 1.06170i | ||||
\(649\) | − | 2.04560i | − | 0.0802969i | ||||||
\(650\) | −43.9072 | − | 7.50260i | −1.72218 | − | 0.294276i | ||||
\(651\) | 0.165739 | + | 0.202789i | 0.00649581 | + | 0.00794793i | ||||
\(652\) | −12.1122 | + | 45.2035i | −0.474352 | + | 1.77031i | ||||
\(653\) | 3.76260 | − | 14.0422i | 0.147242 | − | 0.549515i | −0.852403 | − | 0.522885i | \(-0.824856\pi\) |
0.999645 | − | 0.0266300i | \(-0.00847759\pi\) | |||||||
\(654\) | −35.0166 | + | 5.70845i | −1.36926 | + | 0.223218i | ||||
\(655\) | 10.2116 | − | 28.2888i | 0.398999 | − | 1.10534i | ||||
\(656\) | 3.29463i | 0.128634i | ||||||||
\(657\) | −32.4863 | + | 21.5168i | −1.26741 | + | 0.839452i | ||||
\(658\) | 5.52058 | − | 5.52058i | 0.215215 | − | 0.215215i | ||||
\(659\) | 4.50735 | − | 7.80696i | 0.175582 | − | 0.304116i | −0.764781 | − | 0.644291i | \(-0.777153\pi\) |
0.940362 | + | 0.340174i | \(0.110486\pi\) | |||||||
\(660\) | −2.75790 | + | 1.88913i | −0.107351 | + | 0.0735341i | ||||
\(661\) | 15.0034 | + | 25.9866i | 0.583564 | + | 1.01076i | 0.995053 | + | 0.0993481i | \(0.0316757\pi\) |
−0.411488 | + | 0.911415i | \(0.634991\pi\) | |||||||
\(662\) | 52.8125 | + | 14.1511i | 2.05261 | + | 0.549996i | ||||
\(663\) | 33.6892 | − | 15.1822i | 1.30838 | − | 0.589629i | ||||
\(664\) | −15.1090 | − | 8.72321i | −0.586345 | − | 0.338526i | ||||
\(665\) | 0.628687 | + | 0.437737i | 0.0243795 | + | 0.0169747i | ||||
\(666\) | −0.802894 | + | 0.908079i | −0.0311115 | + | 0.0351874i | ||||
\(667\) | 13.8436 | + | 13.8436i | 0.536028 | + | 0.536028i | ||||
\(668\) | 64.6920 | − | 17.3342i | 2.50301 | − | 0.670679i | ||||
\(669\) | 5.10443 | + | 31.3115i | 0.197349 | + | 1.21057i | ||||
\(670\) | −53.2892 | + | 44.9558i | −2.05874 | + | 1.73680i | ||||
\(671\) | 0.634959 | − | 0.366594i | 0.0245123 | − | 0.0141522i | ||||
\(672\) | −6.39808 | − | 0.643241i | −0.246811 | − | 0.0248136i | ||||
\(673\) | −7.04218 | − | 26.2818i | −0.271456 | − | 1.01309i | −0.958179 | − | 0.286169i | \(-0.907618\pi\) |
0.686723 | − | 0.726919i | \(-0.259049\pi\) | |||||||
\(674\) | 26.4622 | 1.01928 | ||||||||
\(675\) | −11.7626 | + | 23.1655i | −0.452743 | + | 0.891641i | ||||
\(676\) | −5.81007 | −0.223464 | ||||||||
\(677\) | 4.49141 | + | 16.7622i | 0.172619 | + | 0.644223i | 0.996945 | + | 0.0781075i | \(0.0248877\pi\) |
−0.824326 | + | 0.566116i | \(0.808446\pi\) | |||||||
\(678\) | 53.9100 | + | 5.41993i | 2.07040 | + | 0.208151i | ||||
\(679\) | 6.09297 | − | 3.51778i | 0.233827 | − | 0.135000i | ||||
\(680\) | −30.7974 | + | 25.9813i | −1.18103 | + | 0.996337i | ||||
\(681\) | 3.14367 | + | 19.2838i | 0.120466 | + | 0.738959i | ||||
\(682\) | 0.110870 | − | 0.0297075i | 0.00424543 | − | 0.00113756i | ||||
\(683\) | −27.4945 | − | 27.4945i | −1.05205 | − | 1.05205i | −0.998569 | − | 0.0534806i | \(-0.982968\pi\) |
−0.0534806 | − | 0.998569i | \(-0.517032\pi\) | |||||||
\(684\) | −1.42442 | − | 4.25273i | −0.0544642 | − | 0.162607i | ||||
\(685\) | 17.9649 | + | 12.5084i | 0.686403 | + | 0.477922i | ||||
\(686\) | 20.9610 | + | 12.1018i | 0.800293 | + | 0.462049i | ||||
\(687\) | −7.70236 | + | 3.47111i | −0.293863 | + | 0.132431i | ||||
\(688\) | −0.981065 | − | 0.262876i | −0.0374028 | − | 0.0100220i | ||||
\(689\) | −2.54405 | − | 4.40643i | −0.0969207 | − | 0.167872i | ||||
\(690\) | −26.2966 | + | 18.0128i | −1.00110 | + | 0.685737i | ||||
\(691\) | −9.07512 | + | 15.7186i | −0.345234 | + | 0.597962i | −0.985396 | − | 0.170277i | \(-0.945534\pi\) |
0.640162 | + | 0.768240i | \(0.278867\pi\) | |||||||
\(692\) | 24.9168 | − | 24.9168i | 0.947195 | − | 0.947195i | ||||
\(693\) | −0.531132 | − | 0.264605i | −0.0201760 | − | 0.0100515i | ||||
\(694\) | 33.1902i | 1.25988i | ||||||||
\(695\) | 6.00449 | − | 16.6340i | 0.227763 | − | 0.630965i | ||||
\(696\) | −30.5993 | + | 4.98833i | −1.15986 | + | 0.189082i | ||||
\(697\) | 6.45355 | − | 24.0850i | 0.244446 | − | 0.912283i | ||||
\(698\) | 10.5589 | − | 39.4063i | 0.399660 | − | 1.49155i | ||||
\(699\) | −12.2573 | − | 14.9974i | −0.463614 | − | 0.567254i | ||||
\(700\) | 7.63125 | + | 10.7767i | 0.288434 | + | 0.407320i | ||||
\(701\) | − | 5.23510i | − | 0.197727i | −0.995101 | − | 0.0988635i | \(-0.968479\pi\) | ||
0.995101 | − | 0.0988635i | \(-0.0315207\pi\) | |||||||
\(702\) | −13.7064 | + | 44.2153i | −0.517316 | + | 1.66880i | ||||
\(703\) | 0.0541687 | − | 0.0541687i | 0.00204301 | − | 0.00204301i | ||||
\(704\) | −1.59594 | + | 2.76425i | −0.0601492 | + | 0.104181i | ||||
\(705\) | −12.7077 | − | 10.8877i | −0.478599 | − | 0.410055i | ||||
\(706\) | −20.2427 | − | 35.0614i | −0.761844 | − | 1.31955i | ||||
\(707\) | −9.88684 | − | 2.64917i | −0.371833 | − | 0.0996323i | ||||
\(708\) | 38.3978 | + | 27.6333i | 1.44308 | + | 1.03852i | ||||
\(709\) | 14.7176 | + | 8.49720i | 0.552730 | + | 0.319119i | 0.750222 | − | 0.661186i | \(-0.229946\pi\) |
−0.197492 | + | 0.980304i | \(0.563280\pi\) | |||||||
\(710\) | 6.40977 | − | 9.20587i | 0.240555 | − | 0.345490i | ||||
\(711\) | −31.0718 | − | 27.4727i | −1.16528 | − | 1.03031i | ||||
\(712\) | −0.654066 | − | 0.654066i | −0.0245121 | − | 0.0245121i | ||||
\(713\) | 0.665231 | − | 0.178248i | 0.0249131 | − | 0.00667545i | ||||
\(714\) | −16.2801 | − | 6.16507i | −0.609268 | − | 0.230722i | ||||
\(715\) | −2.17280 | − | 0.184302i | −0.0812582 | − | 0.00689251i | ||||
\(716\) | −44.3979 | + | 25.6331i | −1.65923 | + | 0.957955i | ||||
\(717\) | −15.8498 | − | 35.1705i | −0.591920 | − | 1.31346i | ||||
\(718\) | 20.4738 | + | 76.4092i | 0.764075 | + | 2.85157i | ||||
\(719\) | 49.3502 | 1.84045 | 0.920225 | − | 0.391389i | \(-0.128005\pi\) | ||||
0.920225 | + | 0.391389i | \(0.128005\pi\) | |||||||
\(720\) | 0.114469 | − | 4.92885i | 0.00426599 | − | 0.183687i | ||||
\(721\) | 12.7320 | 0.474164 | ||||||||
\(722\) | −11.3053 | − | 42.1918i | −0.420739 | − | 1.57022i | ||||
\(723\) | −29.2888 | + | 40.6981i | −1.08926 | + | 1.51358i | ||||
\(724\) | 23.0186 | − | 13.2898i | 0.855478 | − | 0.493910i | ||||
\(725\) | −21.2568 | − | 17.6457i | −0.789459 | − | 0.655345i | ||||
\(726\) | 34.0632 | − | 27.8397i | 1.26421 | − | 1.03323i | ||||
\(727\) | 37.8991 | − | 10.1550i | 1.40560 | − | 0.376630i | 0.525249 | − | 0.850949i | \(-0.323972\pi\) |
0.880353 | + | 0.474319i | \(0.157306\pi\) | |||||||
\(728\) | 6.83537 | + | 6.83537i | 0.253336 | + | 0.253336i | ||||
\(729\) | 22.2658 | + | 15.2721i | 0.824658 | + | 0.565632i | ||||
\(730\) | 66.4020 | − | 11.8898i | 2.45765 | − | 0.440060i | ||||
\(731\) | 6.65702 | + | 3.84343i | 0.246219 | + | 0.142155i | ||||
\(732\) | −1.69615 | + | 16.8709i | −0.0626914 | + | 0.623568i | ||||
\(733\) | 7.32362 | + | 1.96236i | 0.270504 | + | 0.0724813i | 0.391521 | − | 0.920169i | \(-0.371949\pi\) |
−0.121017 | + | 0.992650i | \(0.538616\pi\) | |||||||
\(734\) | 16.3918 | + | 28.3915i | 0.605034 | + | 1.04795i | ||||
\(735\) | 10.6973 | − | 22.3375i | 0.394575 | − | 0.823933i | ||||
\(736\) | −8.45462 | + | 14.6438i | −0.311641 | + | 0.539778i | ||||
\(737\) | −2.41340 | + | 2.41340i | −0.0888987 | + | 0.0888987i | ||||
\(738\) | 17.2486 | + | 26.0421i | 0.634930 | + | 0.958621i | ||||
\(739\) | − | 43.8329i | − | 1.61242i | −0.591629 | − | 0.806210i | \(-0.701515\pi\) | ||
0.591629 | − | 0.806210i | \(-0.298485\pi\) | |||||||
\(740\) | 1.19529 | − | 0.561229i | 0.0439397 | − | 0.0206312i | ||||
\(741\) | 1.03608 | − | 2.73598i | 0.0380614 | − | 0.100509i | ||||
\(742\) | −0.620396 | + | 2.31535i | −0.0227755 | + | 0.0849992i | ||||
\(743\) | −2.41659 | + | 9.01884i | −0.0886561 | + | 0.330869i | −0.995981 | − | 0.0895603i | \(-0.971454\pi\) |
0.907325 | + | 0.420429i | \(0.138121\pi\) | |||||||
\(744\) | −0.386235 | + | 1.01993i | −0.0141601 | + | 0.0373925i | ||||
\(745\) | −19.2132 | − | 6.93552i | −0.703919 | − | 0.254098i | ||||
\(746\) | − | 50.0066i | − | 1.83087i | ||||||
\(747\) | −16.1257 | + | 0.991358i | −0.590007 | + | 0.0362719i | ||||
\(748\) | −3.39477 | + | 3.39477i | −0.124125 | + | 0.124125i | ||||
\(749\) | 3.19830 | − | 5.53962i | 0.116863 | − | 0.202413i | ||||
\(750\) | 34.5993 | − | 28.7390i | 1.26339 | − | 1.04940i | ||||
\(751\) | 23.6963 | + | 41.0432i | 0.864689 | + | 1.49769i | 0.867355 | + | 0.497690i | \(0.165818\pi\) |
−0.00266566 | + | 0.999996i | \(0.500849\pi\) | |||||||
\(752\) | 3.06729 | + | 0.821878i | 0.111853 | + | 0.0299708i | ||||
\(753\) | 3.53830 | − | 35.1942i | 0.128943 | − | 1.28255i | ||||
\(754\) | −42.6286 | − | 24.6116i | −1.55244 | − | 0.896303i | ||||
\(755\) | 5.79343 | + | 32.3552i | 0.210845 | + | 1.17753i | ||||
\(756\) | 12.1417 | − | 6.39537i | 0.441591 | − | 0.232597i | ||||
\(757\) | 1.37906 | + | 1.37906i | 0.0501227 | + | 0.0501227i | 0.731724 | − | 0.681601i | \(-0.238716\pi\) |
−0.681601 | + | 0.731724i | \(0.738716\pi\) | |||||||
\(758\) | −21.3784 | + | 5.72832i | −0.776497 | + | 0.208062i | ||||
\(759\) | −1.20820 | + | 0.987457i | −0.0438549 | + | 0.0358424i | ||||
\(760\) | −0.269621 | + | 3.17865i | −0.00978018 | + | 0.115302i | ||||
\(761\) | −41.8540 | + | 24.1644i | −1.51720 | + | 0.875958i | −0.517409 | + | 0.855738i | \(0.673103\pi\) |
−0.999796 | + | 0.0202203i | \(0.993563\pi\) | |||||||
\(762\) | 22.3379 | − | 31.0396i | 0.809218 | − | 1.12445i | ||||
\(763\) | 1.77573 | + | 6.62712i | 0.0642858 | + | 0.239918i | ||||
\(764\) | −38.9469 |