Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(49,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([12, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.n (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 159.2 | ||
Character | \(\chi\) | \(=\) | 418.159 |
Dual form | 418.2.n.d.163.2 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.669131 | + | 0.743145i | −0.473147 | + | 0.525483i | ||||
\(3\) | −0.165199 | + | 1.57177i | −0.0953778 | + | 0.907459i | 0.837299 | + | 0.546746i | \(0.184134\pi\) |
−0.932677 | + | 0.360714i | \(0.882533\pi\) | |||||||
\(4\) | −0.104528 | − | 0.994522i | −0.0522642 | − | 0.497261i | ||||
\(5\) | 1.30393 | − | 0.277159i | 0.583135 | − | 0.123949i | 0.0931074 | − | 0.995656i | \(-0.470320\pi\) |
0.490028 | + | 0.871707i | \(0.336987\pi\) | |||||||
\(6\) | −1.05751 | − | 1.17448i | −0.431726 | − | 0.479481i | ||||
\(7\) | 1.29335 | − | 0.939674i | 0.488840 | − | 0.355163i | −0.315898 | − | 0.948793i | \(-0.602306\pi\) |
0.804738 | + | 0.593630i | \(0.202306\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 0.491287 | + | 0.104426i | 0.163762 | + | 0.0348088i | ||||
\(10\) | −0.666530 | + | 1.15446i | −0.210775 | + | 0.365074i | ||||
\(11\) | 2.46994 | − | 2.21345i | 0.744716 | − | 0.667381i | ||||
\(12\) | 1.58042 | 0.456229 | ||||||||
\(13\) | −0.0480521 | − | 0.0102138i | −0.0133273 | − | 0.00283280i | 0.201243 | − | 0.979541i | \(-0.435502\pi\) |
−0.214570 | + | 0.976709i | \(0.568835\pi\) | |||||||
\(14\) | −0.167106 | + | 1.58991i | −0.0446611 | + | 0.424922i | ||||
\(15\) | 0.220220 | + | 2.09526i | 0.0568607 | + | 0.540993i | ||||
\(16\) | −0.978148 | + | 0.207912i | −0.244537 | + | 0.0519779i | ||||
\(17\) | 1.14981 | − | 0.244399i | 0.278869 | − | 0.0592755i | −0.0663538 | − | 0.997796i | \(-0.521137\pi\) |
0.345223 | + | 0.938521i | \(0.387803\pi\) | |||||||
\(18\) | −0.406339 | + | 0.295223i | −0.0957750 | + | 0.0695846i | ||||
\(19\) | 4.12476 | − | 1.40939i | 0.946284 | − | 0.323337i | ||||
\(20\) | −0.411938 | − | 1.26782i | −0.0921122 | − | 0.283492i | ||||
\(21\) | 1.26329 | + | 2.18808i | 0.275672 | + | 0.477477i | ||||
\(22\) | −0.00779852 | + | 3.31662i | −0.00166265 | + | 0.707105i | ||||
\(23\) | 0.631190 | − | 1.09325i | 0.131612 | − | 0.227959i | −0.792686 | − | 0.609630i | \(-0.791318\pi\) |
0.924298 | + | 0.381671i | \(0.124651\pi\) | |||||||
\(24\) | −1.05751 | + | 1.17448i | −0.215863 | + | 0.239740i | ||||
\(25\) | −2.94431 | + | 1.31089i | −0.588862 | + | 0.262178i | ||||
\(26\) | 0.0397435 | − | 0.0288753i | 0.00779434 | − | 0.00566292i | ||||
\(27\) | −1.71043 | + | 5.26415i | −0.329172 | + | 1.01309i | ||||
\(28\) | −1.06972 | − | 1.18804i | −0.202158 | − | 0.224519i | ||||
\(29\) | 0.277322 | + | 2.63854i | 0.0514974 | + | 0.489965i | 0.989625 | + | 0.143675i | \(0.0458920\pi\) |
−0.938128 | + | 0.346290i | \(0.887441\pi\) | |||||||
\(30\) | −1.70444 | − | 1.23835i | −0.311186 | − | 0.226090i | ||||
\(31\) | 0.134757 | + | 0.414740i | 0.0242031 | + | 0.0744896i | 0.962429 | − | 0.271535i | \(-0.0875313\pi\) |
−0.938225 | + | 0.346025i | \(0.887531\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 3.07100 | + | 4.24783i | 0.534592 | + | 0.739453i | ||||
\(34\) | −0.587747 | + | 1.01801i | −0.100798 | + | 0.174587i | ||||
\(35\) | 1.42600 | − | 1.58373i | 0.241038 | − | 0.267700i | ||||
\(36\) | 0.0525007 | − | 0.499511i | 0.00875012 | − | 0.0832519i | ||||
\(37\) | −8.35232 | + | 6.06831i | −1.37311 | + | 0.997625i | −0.375626 | + | 0.926771i | \(0.622572\pi\) |
−0.997487 | + | 0.0708532i | \(0.977428\pi\) | |||||||
\(38\) | −1.71262 | + | 4.00836i | −0.277823 | + | 0.650242i | ||||
\(39\) | 0.0239919 | − | 0.0738394i | 0.00384177 | − | 0.0118238i | ||||
\(40\) | 1.21781 | + | 0.542204i | 0.192553 | + | 0.0857301i | ||||
\(41\) | 0.285630 | − | 2.71759i | 0.0446080 | − | 0.424417i | −0.949314 | − | 0.314329i | \(-0.898220\pi\) |
0.993922 | − | 0.110087i | \(-0.0351130\pi\) | |||||||
\(42\) | −2.47136 | − | 0.525304i | −0.381339 | − | 0.0810562i | ||||
\(43\) | 0.0915645 | + | 0.158594i | 0.0139635 | + | 0.0241854i | 0.872923 | − | 0.487859i | \(-0.162222\pi\) |
−0.858959 | + | 0.512044i | \(0.828888\pi\) | |||||||
\(44\) | −2.45951 | − | 2.22504i | −0.370785 | − | 0.335438i | ||||
\(45\) | 0.669546 | 0.0998101 | ||||||||
\(46\) | 0.390097 | + | 1.20059i | 0.0575166 | + | 0.177018i | ||||
\(47\) | 1.74431 | − | 0.776618i | 0.254434 | − | 0.113281i | −0.275556 | − | 0.961285i | \(-0.588862\pi\) |
0.529991 | + | 0.848004i | \(0.322195\pi\) | |||||||
\(48\) | −0.165199 | − | 1.57177i | −0.0238445 | − | 0.226865i | ||||
\(49\) | −1.37335 | + | 4.22674i | −0.196193 | + | 0.603820i | ||||
\(50\) | 0.995946 | − | 3.06521i | 0.140848 | − | 0.433486i | ||||
\(51\) | 0.194191 | + | 1.84760i | 0.0271922 | + | 0.258716i | ||||
\(52\) | −0.00513503 | + | 0.0488565i | −0.000712100 | + | 0.00677518i | ||||
\(53\) | −3.81069 | − | 0.809986i | −0.523438 | − | 0.111260i | −0.0613878 | − | 0.998114i | \(-0.519553\pi\) |
−0.462050 | + | 0.886854i | \(0.652886\pi\) | |||||||
\(54\) | −2.76753 | − | 4.79350i | −0.376613 | − | 0.652313i | ||||
\(55\) | 2.60716 | − | 3.57075i | 0.351549 | − | 0.481480i | ||||
\(56\) | 1.59867 | 0.213631 | ||||||||
\(57\) | 1.53383 | + | 6.71598i | 0.203160 | + | 0.889553i | ||||
\(58\) | −2.14638 | − | 1.55944i | −0.281834 | − | 0.204764i | ||||
\(59\) | 0.583453 | + | 0.259770i | 0.0759591 | + | 0.0338192i | 0.444365 | − | 0.895846i | \(-0.353429\pi\) |
−0.368405 | + | 0.929665i | \(0.620096\pi\) | |||||||
\(60\) | 2.06076 | − | 0.438028i | 0.266043 | − | 0.0565492i | ||||
\(61\) | 1.87982 | + | 2.08775i | 0.240686 | + | 0.267309i | 0.851370 | − | 0.524565i | \(-0.175772\pi\) |
−0.610684 | + | 0.791874i | \(0.709106\pi\) | |||||||
\(62\) | −0.398382 | − | 0.177371i | −0.0505946 | − | 0.0225262i | ||||
\(63\) | 0.733533 | − | 0.326590i | 0.0924164 | − | 0.0411464i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −0.0654874 | −0.00812272 | ||||||||
\(66\) | −5.21165 | − | 0.560160i | −0.641510 | − | 0.0689509i | ||||
\(67\) | 1.93312 | − | 3.34825i | 0.236168 | − | 0.409054i | −0.723444 | − | 0.690383i | \(-0.757442\pi\) |
0.959611 | + | 0.281329i | \(0.0907752\pi\) | |||||||
\(68\) | −0.363248 | − | 1.11796i | −0.0440503 | − | 0.135573i | ||||
\(69\) | 1.61406 | + | 1.17269i | 0.194311 | + | 0.141175i | ||||
\(70\) | 0.222763 | + | 2.11945i | 0.0266253 | + | 0.253322i | ||||
\(71\) | 5.77785 | − | 1.22812i | 0.685705 | − | 0.145751i | 0.148131 | − | 0.988968i | \(-0.452674\pi\) |
0.537574 | + | 0.843217i | \(0.319341\pi\) | |||||||
\(72\) | 0.336079 | + | 0.373254i | 0.0396073 | + | 0.0439884i | ||||
\(73\) | −2.99352 | − | 1.33280i | −0.350365 | − | 0.155992i | 0.224006 | − | 0.974588i | \(-0.428086\pi\) |
−0.574371 | + | 0.818595i | \(0.694753\pi\) | |||||||
\(74\) | 1.07916 | − | 10.2675i | 0.125449 | − | 1.19357i | ||||
\(75\) | −1.57402 | − | 4.84433i | −0.181752 | − | 0.559375i | ||||
\(76\) | −1.83283 | − | 3.95484i | −0.210240 | − | 0.453651i | ||||
\(77\) | 1.11458 | − | 5.18371i | 0.127018 | − | 0.590739i | ||||
\(78\) | 0.0388197 | + | 0.0672376i | 0.00439546 | + | 0.00761316i | ||||
\(79\) | 4.61047 | − | 5.12044i | 0.518718 | − | 0.576095i | −0.425691 | − | 0.904869i | \(-0.639969\pi\) |
0.944409 | + | 0.328774i | \(0.106635\pi\) | |||||||
\(80\) | −1.21781 | + | 0.542204i | −0.136155 | + | 0.0606203i | ||||
\(81\) | −6.61493 | − | 2.94516i | −0.734992 | − | 0.327240i | ||||
\(82\) | 1.82844 | + | 2.03069i | 0.201917 | + | 0.224252i | ||||
\(83\) | 4.45649 | − | 13.7157i | 0.489163 | − | 1.50549i | −0.336697 | − | 0.941613i | \(-0.609310\pi\) |
0.825860 | − | 0.563876i | \(-0.190690\pi\) | |||||||
\(84\) | 2.04404 | − | 1.48508i | 0.223023 | − | 0.162036i | ||||
\(85\) | 1.43153 | − | 0.637359i | 0.155271 | − | 0.0691312i | ||||
\(86\) | −0.179127 | − | 0.0380747i | −0.0193158 | − | 0.00410570i | ||||
\(87\) | −4.19298 | −0.449535 | ||||||||
\(88\) | 3.29926 | − | 0.338925i | 0.351703 | − | 0.0361295i | ||||
\(89\) | 6.41502 | − | 11.1111i | 0.679990 | − | 1.17778i | −0.294993 | − | 0.955499i | \(-0.595317\pi\) |
0.974983 | − | 0.222278i | \(-0.0713494\pi\) | |||||||
\(90\) | −0.448014 | + | 0.497570i | −0.0472248 | + | 0.0524485i | ||||
\(91\) | −0.0717459 | + | 0.0319433i | −0.00752101 | + | 0.00334857i | ||||
\(92\) | −1.15324 | − | 0.513456i | −0.120234 | − | 0.0535315i | ||||
\(93\) | −0.674136 | + | 0.143292i | −0.0699047 | + | 0.0148587i | ||||
\(94\) | −0.590033 | + | 1.81594i | −0.0608573 | + | 0.187299i | ||||
\(95\) | 4.98777 | − | 2.98096i | 0.511734 | − | 0.305840i | ||||
\(96\) | 1.27859 | + | 0.928949i | 0.130495 | + | 0.0948105i | ||||
\(97\) | −7.71839 | + | 8.57214i | −0.783684 | + | 0.870369i | −0.994236 | − | 0.107214i | \(-0.965807\pi\) |
0.210552 | + | 0.977583i | \(0.432474\pi\) | |||||||
\(98\) | −2.22213 | − | 3.84884i | −0.224469 | − | 0.388792i | ||||
\(99\) | 1.44459 | − | 0.829514i | 0.145187 | − | 0.0833693i | ||||
\(100\) | 1.61148 | + | 2.79116i | 0.161148 | + | 0.279116i | ||||
\(101\) | −8.82799 | − | 1.87645i | −0.878418 | − | 0.186713i | −0.253435 | − | 0.967352i | \(-0.581561\pi\) |
−0.624982 | + | 0.780639i | \(0.714894\pi\) | |||||||
\(102\) | −1.50298 | − | 1.09198i | −0.148817 | − | 0.108122i | ||||
\(103\) | −9.46847 | + | 6.87925i | −0.932957 | + | 0.677833i | −0.946715 | − | 0.322073i | \(-0.895620\pi\) |
0.0137584 | + | 0.999905i | \(0.495620\pi\) | |||||||
\(104\) | −0.0328715 | − | 0.0365075i | −0.00322331 | − | 0.00357985i | ||||
\(105\) | 2.25368 | + | 2.50297i | 0.219937 | + | 0.244265i | ||||
\(106\) | 3.15178 | − | 2.28990i | 0.306128 | − | 0.222415i | ||||
\(107\) | −3.68557 | − | 2.67772i | −0.356297 | − | 0.258865i | 0.395209 | − | 0.918591i | \(-0.370672\pi\) |
−0.751506 | + | 0.659726i | \(0.770672\pi\) | |||||||
\(108\) | 5.41410 | + | 1.15080i | 0.520972 | + | 0.110736i | ||||
\(109\) | 4.40594 | + | 7.63131i | 0.422013 | + | 0.730947i | 0.996136 | − | 0.0878214i | \(-0.0279905\pi\) |
−0.574124 | + | 0.818769i | \(0.694657\pi\) | |||||||
\(110\) | 0.909061 | + | 4.32679i | 0.0866755 | + | 0.412544i | ||||
\(111\) | −8.15817 | − | 14.1304i | −0.774339 | − | 1.34119i | ||||
\(112\) | −1.06972 | + | 1.18804i | −0.101079 | + | 0.112259i | ||||
\(113\) | −7.55430 | − | 5.48852i | −0.710648 | − | 0.516316i | 0.172734 | − | 0.984968i | \(-0.444740\pi\) |
−0.883383 | + | 0.468652i | \(0.844740\pi\) | |||||||
\(114\) | −6.01728 | − | 3.35401i | −0.563570 | − | 0.314132i | ||||
\(115\) | 0.520022 | − | 1.60046i | 0.0484923 | − | 0.149244i | ||||
\(116\) | 2.59510 | − | 0.551606i | 0.240949 | − | 0.0512153i | ||||
\(117\) | −0.0225408 | − | 0.0100358i | −0.00208390 | − | 0.000927811i | ||||
\(118\) | −0.583453 | + | 0.259770i | −0.0537112 | + | 0.0239138i | ||||
\(119\) | 1.25745 | − | 1.39654i | 0.115270 | − | 0.128020i | ||||
\(120\) | −1.05340 | + | 1.82454i | −0.0961618 | + | 0.166557i | ||||
\(121\) | 1.20125 | − | 10.9342i | 0.109204 | − | 0.994019i | ||||
\(122\) | −2.80934 | −0.254346 | ||||||||
\(123\) | 4.22423 | + | 0.897888i | 0.380886 | + | 0.0809598i | ||||
\(124\) | 0.398382 | − | 0.177371i | 0.0357758 | − | 0.0159284i | ||||
\(125\) | −8.86819 | + | 6.44312i | −0.793195 | + | 0.576290i | ||||
\(126\) | −0.248126 | + | 0.763652i | −0.0221048 | + | 0.0680315i | ||||
\(127\) | 8.54379 | + | 9.48884i | 0.758139 | + | 0.841999i | 0.991461 | − | 0.130401i | \(-0.0416264\pi\) |
−0.233322 | + | 0.972399i | \(0.574960\pi\) | |||||||
\(128\) | −0.913545 | − | 0.406737i | −0.0807468 | − | 0.0359508i | ||||
\(129\) | −0.264400 | + | 0.117718i | −0.0232791 | + | 0.0103645i | ||||
\(130\) | 0.0438196 | − | 0.0486667i | 0.00384324 | − | 0.00426835i | ||||
\(131\) | −3.81305 | − | 6.60439i | −0.333147 | − | 0.577028i | 0.649980 | − | 0.759952i | \(-0.274777\pi\) |
−0.983127 | + | 0.182923i | \(0.941444\pi\) | |||||||
\(132\) | 3.90356 | − | 3.49819i | 0.339761 | − | 0.304479i | ||||
\(133\) | 4.01039 | − | 5.69876i | 0.347745 | − | 0.494145i | ||||
\(134\) | 1.19473 | + | 3.67700i | 0.103209 | + | 0.317645i | ||||
\(135\) | −0.771270 | + | 7.33814i | −0.0663804 | + | 0.631567i | ||||
\(136\) | 1.07387 | + | 0.478117i | 0.0920834 | + | 0.0409982i | ||||
\(137\) | −5.21615 | − | 5.79312i | −0.445646 | − | 0.494940i | 0.477907 | − | 0.878410i | \(-0.341395\pi\) |
−0.923553 | + | 0.383470i | \(0.874729\pi\) | |||||||
\(138\) | −1.95150 | + | 0.414803i | −0.166122 | + | 0.0353104i | ||||
\(139\) | −0.381595 | − | 3.63063i | −0.0323665 | − | 0.307946i | −0.998714 | − | 0.0507051i | \(-0.983853\pi\) |
0.966347 | − | 0.257241i | \(-0.0828135\pi\) | |||||||
\(140\) | −1.72411 | − | 1.25264i | −0.145714 | − | 0.105868i | ||||
\(141\) | 0.932502 | + | 2.86995i | 0.0785309 | + | 0.241693i | ||||
\(142\) | −2.95347 | + | 5.11555i | −0.247849 | + | 0.429288i | ||||
\(143\) | −0.141294 | + | 0.0811337i | −0.0118156 | + | 0.00678474i | ||||
\(144\) | −0.502263 | −0.0418552 | ||||||||
\(145\) | 1.09290 | + | 3.36361i | 0.0907607 | + | 0.279333i | ||||
\(146\) | 2.99352 | − | 1.33280i | 0.247745 | − | 0.110303i | ||||
\(147\) | −6.41657 | − | 2.85684i | −0.529230 | − | 0.235628i | ||||
\(148\) | 6.90813 | + | 7.67225i | 0.567844 | + | 0.630655i | ||||
\(149\) | 15.7763 | − | 3.35335i | 1.29244 | − | 0.274717i | 0.490145 | − | 0.871641i | \(-0.336944\pi\) |
0.802298 | + | 0.596923i | \(0.203610\pi\) | |||||||
\(150\) | 4.65326 | + | 2.07176i | 0.379937 | + | 0.169159i | ||||
\(151\) | −17.8195 | − | 12.9466i | −1.45013 | − | 1.05358i | −0.985802 | − | 0.167914i | \(-0.946297\pi\) |
−0.464325 | − | 0.885665i | \(-0.653703\pi\) | |||||||
\(152\) | 4.16542 | + | 1.28425i | 0.337860 | + | 0.104166i | ||||
\(153\) | 0.590407 | 0.0477316 | ||||||||
\(154\) | 3.10645 | + | 4.29687i | 0.250325 | + | 0.346252i | ||||
\(155\) | 0.290663 | + | 0.503443i | 0.0233466 | + | 0.0404375i | ||||
\(156\) | −0.0759427 | − | 0.0161421i | −0.00608028 | − | 0.00129240i | ||||
\(157\) | −1.95882 | + | 18.6369i | −0.156331 | + | 1.48739i | 0.582134 | + | 0.813093i | \(0.302218\pi\) |
−0.738464 | + | 0.674293i | \(0.764449\pi\) | |||||||
\(158\) | 0.720225 | + | 6.85249i | 0.0572981 | + | 0.545155i | ||||
\(159\) | 1.90263 | − | 5.85569i | 0.150888 | − | 0.464387i | ||||
\(160\) | 0.411938 | − | 1.26782i | 0.0325666 | − | 0.100230i | ||||
\(161\) | −0.210952 | − | 2.00707i | −0.0166253 | − | 0.158179i | ||||
\(162\) | 6.61493 | − | 2.94516i | 0.519718 | − | 0.231393i | ||||
\(163\) | 1.84659 | + | 5.68322i | 0.144636 | + | 0.445144i | 0.996964 | − | 0.0778635i | \(-0.0248098\pi\) |
−0.852328 | + | 0.523008i | \(0.824810\pi\) | |||||||
\(164\) | −2.73256 | −0.213377 | ||||||||
\(165\) | 5.18169 | + | 4.68772i | 0.403394 | + | 0.364939i | ||||
\(166\) | 7.21075 | + | 12.4894i | 0.559662 | + | 0.969364i | ||||
\(167\) | −19.2387 | − | 4.08932i | −1.48874 | − | 0.316441i | −0.609485 | − | 0.792797i | \(-0.708624\pi\) |
−0.879252 | + | 0.476356i | \(0.841957\pi\) | |||||||
\(168\) | −0.264099 | + | 2.51273i | −0.0203757 | + | 0.193862i | ||||
\(169\) | −11.8739 | − | 5.28659i | −0.913376 | − | 0.406661i | ||||
\(170\) | −0.484231 | + | 1.49031i | −0.0371388 | + | 0.114302i | ||||
\(171\) | 2.17362 | − | 0.261683i | 0.166221 | − | 0.0200114i | ||||
\(172\) | 0.148155 | − | 0.107641i | 0.0112967 | − | 0.00820752i | ||||
\(173\) | −2.22908 | + | 21.2083i | −0.169474 | + | 1.61244i | 0.497573 | + | 0.867422i | \(0.334225\pi\) |
−0.667047 | + | 0.745015i | \(0.732442\pi\) | |||||||
\(174\) | 2.80565 | − | 3.11599i | 0.212696 | − | 0.236223i | ||||
\(175\) | −2.57622 | + | 4.46214i | −0.194744 | + | 0.337306i | ||||
\(176\) | −1.95577 | + | 2.67861i | −0.147421 | + | 0.201908i | ||||
\(177\) | −0.504684 | + | 0.874138i | −0.0379343 | + | 0.0657042i | ||||
\(178\) | 3.96470 | + | 12.2021i | 0.297167 | + | 0.914585i | ||||
\(179\) | 11.0800 | + | 8.05011i | 0.828160 | + | 0.601694i | 0.919038 | − | 0.394168i | \(-0.128967\pi\) |
−0.0908779 | + | 0.995862i | \(0.528967\pi\) | |||||||
\(180\) | −0.0699866 | − | 0.665878i | −0.00521650 | − | 0.0496316i | ||||
\(181\) | −12.8382 | − | 14.2582i | −0.954255 | − | 1.05981i | −0.998152 | − | 0.0607712i | \(-0.980644\pi\) |
0.0438970 | − | 0.999036i | \(-0.486023\pi\) | |||||||
\(182\) | 0.0242688 | − | 0.0746918i | 0.00179893 | − | 0.00553653i | ||||
\(183\) | −3.59199 | + | 2.60974i | −0.265528 | + | 0.192917i | ||||
\(184\) | 1.15324 | − | 0.513456i | 0.0850180 | − | 0.0378525i | ||||
\(185\) | −9.20895 | + | 10.2276i | −0.677055 | + | 0.751946i | ||||
\(186\) | 0.344598 | − | 0.596862i | 0.0252672 | − | 0.0437640i | ||||
\(187\) | 2.29899 | − | 3.14870i | 0.168119 | − | 0.230256i | ||||
\(188\) | −0.954694 | − | 1.65358i | −0.0696282 | − | 0.120600i | ||||
\(189\) | 2.73441 | + | 8.41564i | 0.198899 | + | 0.612147i | ||||
\(190\) | −1.12218 | + | 5.70129i | −0.0814116 | + | 0.413615i | ||||
\(191\) | −1.35440 | + | 0.984031i | −0.0980012 | + | 0.0712020i | −0.635707 | − | 0.771931i | \(-0.719291\pi\) |
0.537706 | + | 0.843133i | \(0.319291\pi\) | |||||||
\(192\) | −1.54589 | + | 0.328588i | −0.111565 | + | 0.0237138i | ||||
\(193\) | 19.9751 | − | 4.24583i | 1.43784 | − | 0.305622i | 0.577936 | − | 0.816082i | \(-0.303858\pi\) |
0.859901 | + | 0.510461i | \(0.170525\pi\) | |||||||
\(194\) | −1.20573 | − | 11.4718i | −0.0865664 | − | 0.823625i | ||||
\(195\) | 0.0108185 | − | 0.102931i | 0.000774727 | − | 0.00737103i | ||||
\(196\) | 4.34714 | + | 0.924013i | 0.310510 | + | 0.0660009i | ||||
\(197\) | 9.62811 | 0.685975 | 0.342987 | − | 0.939340i | \(-0.388561\pi\) | ||||
0.342987 | + | 0.939340i | \(0.388561\pi\) | |||||||
\(198\) | −0.350173 | + | 1.62860i | −0.0248857 | + | 0.115739i | ||||
\(199\) | −1.99571 | + | 3.45667i | −0.141472 | + | 0.245037i | −0.928051 | − | 0.372453i | \(-0.878517\pi\) |
0.786579 | + | 0.617490i | \(0.211850\pi\) | |||||||
\(200\) | −3.15252 | − | 0.670089i | −0.222917 | − | 0.0473825i | ||||
\(201\) | 4.94332 | + | 3.59153i | 0.348675 | + | 0.253327i | ||||
\(202\) | 7.30155 | − | 5.30489i | 0.513735 | − | 0.373251i | ||||
\(203\) | 2.83804 | + | 3.15197i | 0.199192 | + | 0.221225i | ||||
\(204\) | 1.81718 | − | 0.386254i | 0.127228 | − | 0.0270432i | ||||
\(205\) | −0.380763 | − | 3.62271i | −0.0265936 | − | 0.253021i | ||||
\(206\) | 1.22337 | − | 11.6396i | 0.0852361 | − | 0.810967i | ||||
\(207\) | 0.424259 | − | 0.471188i | 0.0294881 | − | 0.0327498i | ||||
\(208\) | 0.0491256 | 0.00340625 | ||||||||
\(209\) | 7.06829 | − | 12.6111i | 0.488924 | − | 0.872326i | ||||
\(210\) | −3.36807 | −0.232419 | ||||||||
\(211\) | −10.1093 | + | 11.2275i | −0.695954 | + | 0.772935i | −0.982727 | − | 0.185063i | \(-0.940751\pi\) |
0.286772 | + | 0.957999i | \(0.407418\pi\) | |||||||
\(212\) | −0.407224 | + | 3.87448i | −0.0279683 | + | 0.266100i | ||||
\(213\) | 0.975821 | + | 9.28431i | 0.0668621 | + | 0.636151i | ||||
\(214\) | 4.45606 | − | 0.947166i | 0.304610 | − | 0.0647469i | ||||
\(215\) | 0.163350 | + | 0.181418i | 0.0111403 | + | 0.0123726i | ||||
\(216\) | −4.47796 | + | 3.25342i | −0.304686 | + | 0.221368i | ||||
\(217\) | 0.564009 | + | 0.409777i | 0.0382874 | + | 0.0278174i | ||||
\(218\) | −8.61932 | − | 1.83209i | −0.583774 | − | 0.124085i | ||||
\(219\) | 2.58937 | − | 4.48493i | 0.174974 | − | 0.303063i | ||||
\(220\) | −3.82372 | − | 2.21963i | −0.257795 | − | 0.149647i | ||||
\(221\) | −0.0577469 | −0.00388448 | ||||||||
\(222\) | 15.9598 | + | 3.39236i | 1.07115 | + | 0.227680i | ||||
\(223\) | −0.354322 | + | 3.37115i | −0.0237271 | + | 0.225749i | 0.976232 | + | 0.216727i | \(0.0695383\pi\) |
−0.999959 | + | 0.00902128i | \(0.997128\pi\) | |||||||
\(224\) | −0.167106 | − | 1.58991i | −0.0111653 | − | 0.106230i | ||||
\(225\) | −1.58339 | + | 0.336561i | −0.105560 | + | 0.0224374i | ||||
\(226\) | 9.13357 | − | 1.94140i | 0.607556 | − | 0.129140i | ||||
\(227\) | 10.9452 | − | 7.95212i | 0.726456 | − | 0.527801i | −0.161985 | − | 0.986793i | \(-0.551789\pi\) |
0.888440 | + | 0.458992i | \(0.151789\pi\) | |||||||
\(228\) | 6.51886 | − | 2.22744i | 0.431722 | − | 0.147516i | ||||
\(229\) | 6.35506 | + | 19.5589i | 0.419954 | + | 1.29249i | 0.907744 | + | 0.419525i | \(0.137803\pi\) |
−0.487789 | + | 0.872961i | \(0.662197\pi\) | |||||||
\(230\) | 0.841414 | + | 1.45737i | 0.0554812 | + | 0.0960962i | ||||
\(231\) | 7.96345 | + | 2.60820i | 0.523957 | + | 0.171607i | ||||
\(232\) | −1.32654 | + | 2.29763i | −0.0870915 | + | 0.150847i | ||||
\(233\) | −8.41148 | + | 9.34189i | −0.551054 | + | 0.612008i | −0.952746 | − | 0.303767i | \(-0.901756\pi\) |
0.401692 | + | 0.915775i | \(0.368422\pi\) | |||||||
\(234\) | 0.0225408 | − | 0.0100358i | 0.00147354 | − | 0.000656061i | ||||
\(235\) | 2.05921 | − | 1.49611i | 0.134328 | − | 0.0975952i | ||||
\(236\) | 0.197360 | − | 0.607410i | 0.0128470 | − | 0.0395390i | ||||
\(237\) | 7.28649 | + | 8.09246i | 0.473308 | + | 0.525662i | ||||
\(238\) | 0.196433 | + | 1.86893i | 0.0127328 | + | 0.121145i | ||||
\(239\) | −14.6189 | − | 10.6212i | −0.945616 | − | 0.687030i | 0.00415001 | − | 0.999991i | \(-0.498679\pi\) |
−0.949766 | + | 0.312961i | \(0.898679\pi\) | |||||||
\(240\) | −0.651037 | − | 2.00369i | −0.0420242 | − | 0.129337i | ||||
\(241\) | 2.86847 | − | 4.96834i | 0.184775 | − | 0.320039i | −0.758726 | − | 0.651410i | \(-0.774178\pi\) |
0.943501 | + | 0.331371i | \(0.107511\pi\) | |||||||
\(242\) | 7.32191 | + | 8.20912i | 0.470670 | + | 0.527702i | ||||
\(243\) | −2.58071 | + | 4.46992i | −0.165552 | + | 0.286745i | ||||
\(244\) | 1.87982 | − | 2.08775i | 0.120343 | − | 0.133654i | ||||
\(245\) | −0.619275 | + | 5.89201i | −0.0395640 | + | 0.376427i | ||||
\(246\) | −3.49382 | + | 2.53841i | −0.222758 | + | 0.161843i | ||||
\(247\) | −0.212599 | + | 0.0255949i | −0.0135273 | + | 0.00162856i | ||||
\(248\) | −0.134757 | + | 0.414740i | −0.00855710 | + | 0.0263360i | ||||
\(249\) | 20.8216 | + | 9.27037i | 1.31951 | + | 0.587486i | ||||
\(250\) | 1.14581 | − | 10.9016i | 0.0724673 | − | 0.689480i | ||||
\(251\) | −14.1377 | − | 3.00506i | −0.892363 | − | 0.189678i | −0.261160 | − | 0.965295i | \(-0.584105\pi\) |
−0.631203 | + | 0.775618i | \(0.717438\pi\) | |||||||
\(252\) | −0.401476 | − | 0.695376i | −0.0252906 | − | 0.0438046i | ||||
\(253\) | −0.860861 | − | 4.09738i | −0.0541219 | − | 0.257600i | ||||
\(254\) | −12.7685 | −0.801167 | ||||||||
\(255\) | 0.765290 | + | 2.35532i | 0.0479243 | + | 0.147496i | ||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | −1.42042 | − | 13.5144i | −0.0886035 | − | 0.843006i | −0.945084 | − | 0.326827i | \(-0.894021\pi\) |
0.856481 | − | 0.516179i | \(-0.172646\pi\) | |||||||
\(258\) | 0.0894361 | − | 0.275256i | 0.00556805 | − | 0.0171367i | ||||
\(259\) | −5.10024 | + | 15.6969i | −0.316913 | + | 0.975359i | ||||
\(260\) | 0.00684530 | + | 0.0651287i | 0.000424528 | + | 0.00403911i | ||||
\(261\) | −0.139288 | + | 1.32524i | −0.00862174 | + | 0.0820304i | ||||
\(262\) | 7.45945 | + | 1.58555i | 0.460846 | + | 0.0979559i | ||||
\(263\) | 3.89835 | + | 6.75214i | 0.240383 | + | 0.416355i | 0.960823 | − | 0.277162i | \(-0.0893938\pi\) |
−0.720441 | + | 0.693517i | \(0.756060\pi\) | |||||||
\(264\) | −0.0123250 | + | 5.24166i | −0.000758549 | + | 0.322602i | ||||
\(265\) | −5.19336 | −0.319026 | ||||||||
\(266\) | 1.55154 | + | 6.79351i | 0.0951307 | + | 0.416537i | ||||
\(267\) | 16.4043 | + | 11.9185i | 1.00393 | + | 0.729397i | ||||
\(268\) | −3.53198 | − | 1.57254i | −0.215750 | − | 0.0960580i | ||||
\(269\) | 6.02804 | − | 1.28130i | 0.367536 | − | 0.0781222i | −0.0204415 | − | 0.999791i | \(-0.506507\pi\) |
0.387977 | + | 0.921669i | \(0.373174\pi\) | |||||||
\(270\) | −4.93722 | − | 5.48334i | −0.300470 | − | 0.333706i | ||||
\(271\) | 2.66586 | + | 1.18692i | 0.161940 | + | 0.0721002i | 0.486106 | − | 0.873900i | \(-0.338417\pi\) |
−0.324166 | + | 0.946000i | \(0.605084\pi\) | |||||||
\(272\) | −1.07387 | + | 0.478117i | −0.0651128 | + | 0.0289901i | ||||
\(273\) | −0.0383550 | − | 0.118045i | −0.00232135 | − | 0.00714439i | ||||
\(274\) | 7.79542 | 0.470938 | ||||||||
\(275\) | −4.37069 | + | 9.75493i | −0.263562 | + | 0.588244i | ||||
\(276\) | 0.997547 | − | 1.72780i | 0.0600453 | − | 0.104001i | ||||
\(277\) | 2.72366 | + | 8.38256i | 0.163649 | + | 0.503659i | 0.998934 | − | 0.0461575i | \(-0.0146976\pi\) |
−0.835285 | + | 0.549817i | \(0.814698\pi\) | |||||||
\(278\) | 2.95342 | + | 2.14579i | 0.177135 | + | 0.128696i | ||||
\(279\) | 0.0228947 | + | 0.217829i | 0.00137067 | + | 0.0130411i | ||||
\(280\) | 2.08455 | − | 0.443085i | 0.124576 | − | 0.0264794i | ||||
\(281\) | −5.17512 | − | 5.74755i | −0.308722 | − | 0.342870i | 0.568740 | − | 0.822518i | \(-0.307431\pi\) |
−0.877461 | + | 0.479647i | \(0.840765\pi\) | |||||||
\(282\) | −2.75675 | − | 1.22739i | −0.164162 | − | 0.0730897i | ||||
\(283\) | 0.826827 | − | 7.86674i | 0.0491498 | − | 0.467629i | −0.942071 | − | 0.335413i | \(-0.891124\pi\) |
0.991221 | − | 0.132216i | \(-0.0422092\pi\) | |||||||
\(284\) | −1.82534 | − | 5.61783i | −0.108314 | − | 0.333357i | ||||
\(285\) | 3.86140 | + | 8.33205i | 0.228729 | + | 0.493548i | ||||
\(286\) | 0.0342500 | − | 0.159291i | 0.00202524 | − | 0.00941906i | ||||
\(287\) | −2.18423 | − | 3.78320i | −0.128931 | − | 0.223315i | ||||
\(288\) | 0.336079 | − | 0.373254i | 0.0198037 | − | 0.0219942i | ||||
\(289\) | −14.2679 | + | 6.35250i | −0.839291 | + | 0.373676i | ||||
\(290\) | −3.23095 | − | 1.43851i | −0.189728 | − | 0.0844722i | ||||
\(291\) | −12.1983 | − | 13.5476i | −0.715078 | − | 0.794175i | ||||
\(292\) | −1.01259 | + | 3.11643i | −0.0592574 | + | 0.182375i | ||||
\(293\) | −1.57902 | + | 1.14723i | −0.0922476 | + | 0.0670218i | −0.632953 | − | 0.774190i | \(-0.718157\pi\) |
0.540705 | + | 0.841212i | \(0.318157\pi\) | |||||||
\(294\) | 6.41657 | − | 2.85684i | 0.374222 | − | 0.166614i | ||||
\(295\) | 0.832780 | + | 0.177013i | 0.0484863 | + | 0.0103061i | ||||
\(296\) | −10.3240 | −0.600072 | ||||||||
\(297\) | 7.42730 | + | 16.7881i | 0.430976 | + | 0.974145i | ||||
\(298\) | −8.06437 | + | 13.9679i | −0.467156 | + | 0.809138i | ||||
\(299\) | −0.0414963 | + | 0.0460863i | −0.00239979 | + | 0.00266524i | ||||
\(300\) | −4.65326 | + | 2.07176i | −0.268656 | + | 0.119613i | ||||
\(301\) | 0.267452 | + | 0.119077i | 0.0154157 | + | 0.00686350i | ||||
\(302\) | 21.5447 | − | 4.57947i | 1.23976 | − | 0.263519i | ||||
\(303\) | 4.40771 | − | 13.5655i | 0.253216 | − | 0.779320i | ||||
\(304\) | −3.74159 | + | 2.23618i | −0.214595 | + | 0.128254i | ||||
\(305\) | 3.02979 | + | 2.20127i | 0.173485 | + | 0.126044i | ||||
\(306\) | −0.395059 | + | 0.438758i | −0.0225840 | + | 0.0250821i | ||||
\(307\) | −12.4165 | − | 21.5060i | −0.708647 | − | 1.22741i | −0.965359 | − | 0.260925i | \(-0.915973\pi\) |
0.256712 | − | 0.966488i | \(-0.417361\pi\) | |||||||
\(308\) | −5.27182 | − | 0.566627i | −0.300390 | − | 0.0322865i | ||||
\(309\) | −9.24838 | − | 16.0187i | −0.526122 | − | 0.911270i | ||||
\(310\) | −0.568623 | − | 0.120864i | −0.0322956 | − | 0.00686464i | ||||
\(311\) | −21.6322 | − | 15.7167i | −1.22665 | − | 0.891215i | −0.230017 | − | 0.973187i | \(-0.573878\pi\) |
−0.996635 | + | 0.0819721i | \(0.973878\pi\) | |||||||
\(312\) | 0.0628115 | − | 0.0456352i | 0.00355600 | − | 0.00258359i | ||||
\(313\) | −8.64708 | − | 9.60355i | −0.488762 | − | 0.542825i | 0.447428 | − | 0.894320i | \(-0.352340\pi\) |
−0.936190 | + | 0.351495i | \(0.885673\pi\) | |||||||
\(314\) | −12.5392 | − | 13.9262i | −0.707628 | − | 0.785901i | ||||
\(315\) | 0.865958 | − | 0.629155i | 0.0487912 | − | 0.0354489i | ||||
\(316\) | −5.57432 | − | 4.04998i | −0.313580 | − | 0.227829i | ||||
\(317\) | 7.12289 | + | 1.51402i | 0.400061 | + | 0.0850357i | 0.403549 | − | 0.914958i | \(-0.367777\pi\) |
−0.00348707 | + | 0.999994i | \(0.501110\pi\) | |||||||
\(318\) | 3.07852 | + | 5.33215i | 0.172635 | + | 0.299012i | ||||
\(319\) | 6.52526 | + | 5.90321i | 0.365344 | + | 0.330516i | ||||
\(320\) | 0.666530 | + | 1.15446i | 0.0372602 | + | 0.0645365i | ||||
\(321\) | 4.81761 | − | 5.35049i | 0.268893 | − | 0.298635i | ||||
\(322\) | 1.63270 | + | 1.18622i | 0.0909867 | + | 0.0661057i | ||||
\(323\) | 4.39822 | − | 2.62862i | 0.244724 | − | 0.146260i | ||||
\(324\) | −2.23757 | + | 6.88655i | −0.124310 | + | 0.382586i | ||||
\(325\) | 0.154870 | − | 0.0329186i | 0.00859062 | − | 0.00182599i | ||||
\(326\) | −5.45907 | − | 2.43053i | −0.302350 | − | 0.134615i | ||||
\(327\) | −12.7225 | + | 5.66442i | −0.703555 | + | 0.313243i | ||||
\(328\) | 1.82844 | − | 2.03069i | 0.100959 | − | 0.112126i | ||||
\(329\) | 1.52624 | − | 2.64352i | 0.0841443 | − | 0.145742i | ||||
\(330\) | −6.95088 | + | 0.714047i | −0.382634 | + | 0.0393070i | ||||
\(331\) | −3.10431 | −0.170628 | −0.0853142 | − | 0.996354i | \(-0.527189\pi\) | ||||
−0.0853142 | + | 0.996354i | \(0.527189\pi\) | |||||||
\(332\) | −14.1063 | − | 2.99840i | −0.774186 | − | 0.164558i | ||||
\(333\) | −4.73708 | + | 2.10908i | −0.259590 | + | 0.115577i | ||||
\(334\) | 15.9122 | − | 11.5609i | 0.870676 | − | 0.632583i | ||||
\(335\) | 1.59265 | − | 4.90167i | 0.0870157 | − | 0.267807i | ||||
\(336\) | −1.69061 | − | 1.87761i | −0.0922302 | − | 0.102432i | ||||
\(337\) | −17.4845 | − | 7.78461i | −0.952443 | − | 0.424055i | −0.129121 | − | 0.991629i | \(-0.541215\pi\) |
−0.823322 | + | 0.567574i | \(0.807882\pi\) | |||||||
\(338\) | 11.8739 | − | 5.28659i | 0.645854 | − | 0.287553i | ||||
\(339\) | 9.87463 | − | 10.9669i | 0.536316 | − | 0.595639i | ||||
\(340\) | −0.783503 | − | 1.35707i | −0.0424914 | − | 0.0735973i | ||||
\(341\) | 1.25085 | + | 0.726106i | 0.0677374 | + | 0.0393209i | ||||
\(342\) | −1.25996 | + | 1.79041i | −0.0681311 | + | 0.0968144i | ||||
\(343\) | 5.65364 | + | 17.4001i | 0.305268 | + | 0.939519i | ||||
\(344\) | −0.0191422 | + | 0.182126i | −0.00103208 | + | 0.00981957i | ||||
\(345\) | 2.42965 | + | 1.08175i | 0.130808 | + | 0.0582394i | ||||
\(346\) | −14.2693 | − | 15.8477i | −0.767122 | − | 0.851975i | ||||
\(347\) | 32.1789 | − | 6.83983i | 1.72745 | − | 0.367181i | 0.766147 | − | 0.642665i | \(-0.222171\pi\) |
0.961306 | + | 0.275484i | \(0.0888380\pi\) | |||||||
\(348\) | 0.438286 | + | 4.17001i | 0.0234946 | + | 0.223536i | ||||
\(349\) | −16.5141 | − | 11.9982i | −0.883978 | − | 0.642248i | 0.0503229 | − | 0.998733i | \(-0.483975\pi\) |
−0.934301 | + | 0.356485i | \(0.883975\pi\) | |||||||
\(350\) | −1.59219 | − | 4.90025i | −0.0851061 | − | 0.261930i | ||||
\(351\) | 0.135957 | − | 0.235484i | 0.00725683 | − | 0.0125692i | ||||
\(352\) | −0.681935 | − | 3.24576i | −0.0363473 | − | 0.173000i | ||||
\(353\) | −15.8224 | −0.842141 | −0.421070 | − | 0.907028i | \(-0.638345\pi\) | ||||
−0.421070 | + | 0.907028i | \(0.638345\pi\) | |||||||
\(354\) | −0.311912 | − | 0.959965i | −0.0165779 | − | 0.0510216i | ||||
\(355\) | 7.19353 | − | 3.20277i | 0.381793 | − | 0.169985i | ||||
\(356\) | −11.7208 | − | 5.21844i | −0.621202 | − | 0.276577i | ||||
\(357\) | 1.98730 | + | 2.20712i | 0.105179 | + | 0.116813i | ||||
\(358\) | −13.3964 | + | 2.84749i | −0.708021 | + | 0.150495i | ||||
\(359\) | −2.18194 | − | 0.971461i | −0.115158 | − | 0.0512717i | 0.348349 | − | 0.937365i | \(-0.386742\pi\) |
−0.463507 | + | 0.886093i | \(0.653409\pi\) | |||||||
\(360\) | 0.541674 | + | 0.393549i | 0.0285487 | + | 0.0207419i | ||||
\(361\) | 15.0272 | − | 11.6268i | 0.790907 | − | 0.611937i | ||||
\(362\) | 19.1864 | 1.00841 | ||||||||
\(363\) | 16.9876 | + | 3.69440i | 0.891616 | + | 0.193906i | ||||
\(364\) | 0.0392678 | + | 0.0680138i | 0.00205819 | + | 0.00356489i | ||||
\(365\) | −4.27273 | − | 0.908197i | −0.223645 | − | 0.0475372i | ||||
\(366\) | 0.464101 | − | 4.41563i | 0.0242590 | − | 0.230809i | ||||
\(367\) | −1.17399 | − | 11.1698i | −0.0612820 | − | 0.583059i | −0.981474 | − | 0.191593i | \(-0.938635\pi\) |
0.920193 | − | 0.391466i | \(-0.128032\pi\) | |||||||
\(368\) | −0.390097 | + | 1.20059i | −0.0203352 | + | 0.0625853i | ||||
\(369\) | 0.424114 | − | 1.30529i | 0.0220785 | − | 0.0679507i | ||||
\(370\) | −1.43858 | − | 13.6872i | −0.0747882 | − | 0.711562i | ||||
\(371\) | −5.68967 | + | 2.53321i | −0.295393 | + | 0.131517i | ||||
\(372\) | 0.212974 | + | 0.655465i | 0.0110422 | + | 0.0339843i | ||||
\(373\) | −4.82873 | −0.250022 | −0.125011 | − | 0.992155i | \(-0.539897\pi\) | ||||
−0.125011 | + | 0.992155i | \(0.539897\pi\) | |||||||
\(374\) | 0.801611 | + | 3.81538i | 0.0414503 | + | 0.197288i | ||||
\(375\) | −8.66205 | − | 15.0031i | −0.447307 | − | 0.774758i | ||||
\(376\) | 1.86766 | + | 0.396984i | 0.0963174 | + | 0.0204729i | ||||
\(377\) | 0.0136236 | − | 0.129620i | 0.000701652 | − | 0.00667577i | ||||
\(378\) | −8.08371 | − | 3.59910i | −0.415781 | − | 0.185118i | ||||
\(379\) | −3.54053 | + | 10.8966i | −0.181865 | + | 0.559722i | −0.999880 | − | 0.0154740i | \(-0.995074\pi\) |
0.818016 | + | 0.575196i | \(0.195074\pi\) | |||||||
\(380\) | −3.48599 | − | 4.64885i | −0.178828 | − | 0.238481i | ||||
\(381\) | −16.3257 | + | 11.8613i | −0.836389 | + | 0.607672i | ||||
\(382\) | 0.174995 | − | 1.66496i | 0.00895351 | − | 0.0851869i | ||||
\(383\) | 15.8187 | − | 17.5684i | 0.808298 | − | 0.897706i | −0.188131 | − | 0.982144i | \(-0.560243\pi\) |
0.996429 | + | 0.0844382i | \(0.0269096\pi\) | |||||||
\(384\) | 0.790212 | − | 1.36869i | 0.0403253 | − | 0.0698455i | ||||
\(385\) | 0.0166196 | − | 7.06811i | 0.000847013 | − | 0.360224i | ||||
\(386\) | −10.2107 | + | 17.6854i | −0.519709 | + | 0.900162i | ||||
\(387\) | 0.0284230 | + | 0.0874771i | 0.00144482 | + | 0.00444671i | ||||
\(388\) | 9.33197 | + | 6.78007i | 0.473759 | + | 0.344206i | ||||
\(389\) | 1.21315 | + | 11.5423i | 0.0615091 | + | 0.585220i | 0.981256 | + | 0.192708i | \(0.0617271\pi\) |
−0.919747 | + | 0.392512i | \(0.871606\pi\) | |||||||
\(390\) | 0.0692536 | + | 0.0769139i | 0.00350679 | + | 0.00389469i | ||||
\(391\) | 0.458557 | − | 1.41129i | 0.0231902 | − | 0.0713721i | ||||
\(392\) | −3.59548 | + | 2.61227i | −0.181599 | + | 0.131940i | ||||
\(393\) | 11.0105 | − | 4.90218i | 0.555405 | − | 0.247282i | ||||
\(394\) | −6.44247 | + | 7.15508i | −0.324567 | + | 0.360468i | ||||
\(395\) | 4.59255 | − | 7.95453i | 0.231076 | − | 0.400236i | ||||
\(396\) | −0.975971 | − | 1.34997i | −0.0490444 | − | 0.0678387i | ||||
\(397\) | 0.785197 | + | 1.36000i | 0.0394079 | + | 0.0682565i | 0.885057 | − | 0.465483i | \(-0.154119\pi\) |
−0.845649 | + | 0.533740i | \(0.820786\pi\) | |||||||
\(398\) | −1.23342 | − | 3.79607i | −0.0618256 | − | 0.190280i | ||||
\(399\) | 8.29461 | + | 7.24482i | 0.415250 | + | 0.362694i | ||||
\(400\) | 2.60742 | − | 1.89440i | 0.130371 | − | 0.0947201i | ||||
\(401\) | 21.9843 | − | 4.67291i | 1.09784 | − | 0.233354i | 0.376836 | − | 0.926280i | \(-0.377012\pi\) |
0.721009 | + | 0.692926i | \(0.243679\pi\) | |||||||
\(402\) | −5.97676 | + | 1.27040i | −0.298094 | + | 0.0633617i | ||||
\(403\) | −0.00223930 | − | 0.0213055i | −0.000111548 | − | 0.00106130i | ||||
\(404\) | −0.943392 | + | 8.97577i | −0.0469355 | + | 0.446561i | ||||
\(405\) | −9.44168 | − | 2.00689i | −0.469161 | − | 0.0997232i | ||||
\(406\) | −4.24139 | −0.210497 | ||||||||
\(407\) | −7.19783 | + | 33.4759i | −0.356783 | + | 1.65934i | ||||
\(408\) | −0.928890 | + | 1.60888i | −0.0459869 | + | 0.0796516i | ||||
\(409\) | 18.3335 | + | 3.89690i | 0.906533 | + | 0.192690i | 0.637508 | − | 0.770444i | \(-0.279965\pi\) |
0.269025 | + | 0.963133i | \(0.413299\pi\) | |||||||
\(410\) | 2.94698 | + | 2.14111i | 0.145541 | + | 0.105742i | ||||
\(411\) | 9.96713 | − | 7.24155i | 0.491642 | − | 0.357199i | ||||
\(412\) | 7.83129 | + | 8.69753i | 0.385820 | + | 0.428496i | ||||
\(413\) | 0.998709 | − | 0.212282i | 0.0491432 | − | 0.0104457i | ||||
\(414\) | 0.0662758 | + | 0.630573i | 0.00325728 | + | 0.0309909i | ||||
\(415\) | 2.00953 | − | 19.1194i | 0.0986440 | − | 0.938535i | ||||
\(416\) | −0.0328715 | + | 0.0365075i | −0.00161166 | + | 0.00178993i | ||||
\(417\) | 5.76954 | 0.282536 | ||||||||
\(418\) | 4.64224 | + | 13.6912i | 0.227060 | + | 0.669660i | ||||
\(419\) | 21.3099 | 1.04106 | 0.520528 | − | 0.853845i | \(-0.325735\pi\) | ||||
0.520528 | + | 0.853845i | \(0.325735\pi\) | |||||||
\(420\) | 2.25368 | − | 2.50297i | 0.109968 | − | 0.122132i | ||||
\(421\) | 3.59234 | − | 34.1788i | 0.175080 | − | 1.66577i | −0.455942 | − | 0.890010i | \(-0.650697\pi\) |
0.631022 | − | 0.775765i | \(-0.282636\pi\) | |||||||
\(422\) | −1.57923 | − | 15.0254i | −0.0768757 | − | 0.731424i | ||||
\(423\) | 0.938057 | − | 0.199390i | 0.0456099 | − | 0.00969468i | ||||
\(424\) | −2.60681 | − | 2.89516i | −0.126598 | − | 0.140601i | ||||
\(425\) | −3.06501 | + | 2.22686i | −0.148675 | + | 0.108019i | ||||
\(426\) | −7.55254 | − | 5.48724i | −0.365922 | − | 0.265858i | ||||
\(427\) | 4.39306 | + | 0.933775i | 0.212595 | + | 0.0451885i | ||||
\(428\) | −2.27781 | + | 3.94528i | −0.110102 | + | 0.190702i | ||||
\(429\) | −0.104181 | − | 0.235484i | −0.00502993 | − | 0.0113693i | ||||
\(430\) | −0.244122 | −0.0117726 | ||||||||
\(431\) | −14.5568 | − | 3.09414i | −0.701176 | − | 0.149040i | −0.156490 | − | 0.987680i | \(-0.550018\pi\) |
−0.544686 | + | 0.838640i | \(0.683351\pi\) | |||||||
\(432\) | 0.578571 | − | 5.50474i | 0.0278365 | − | 0.264847i | ||||
\(433\) | 0.147241 | + | 1.40090i | 0.00707593 | + | 0.0673230i | 0.997490 | − | 0.0708071i | \(-0.0225575\pi\) |
−0.990414 | + | 0.138130i | \(0.955891\pi\) | |||||||
\(434\) | −0.681919 | + | 0.144946i | −0.0327332 | + | 0.00695765i | ||||
\(435\) | −5.46736 | + | 1.16212i | −0.262140 | + | 0.0557195i | ||||
\(436\) | 7.12896 | − | 5.17949i | 0.341415 | − | 0.248053i | ||||
\(437\) | 1.06268 | − | 5.39899i | 0.0508350 | − | 0.258269i | ||||
\(438\) | 1.60032 | + | 4.92528i | 0.0764663 | + | 0.235339i | ||||
\(439\) | −10.7387 | − | 18.6000i | −0.512531 | − | 0.887729i | −0.999894 | − | 0.0145303i | \(-0.995375\pi\) |
0.487364 | − | 0.873199i | \(-0.337959\pi\) | |||||||
\(440\) | 4.20807 | − | 1.35635i | 0.200612 | − | 0.0646616i | ||||
\(441\) | −1.11609 | + | 1.93313i | −0.0531472 | + | 0.0920537i | ||||
\(442\) | 0.0386402 | − | 0.0429143i | 0.00183793 | − | 0.00204123i | ||||
\(443\) | 19.4224 | − | 8.64740i | 0.922785 | − | 0.410850i | 0.110344 | − | 0.993893i | \(-0.464805\pi\) |
0.812441 | + | 0.583043i | \(0.198138\pi\) | |||||||
\(444\) | −13.2002 | + | 9.59050i | −0.626454 | + | 0.455145i | ||||
\(445\) | 5.28518 | − | 16.2661i | 0.250542 | − | 0.771088i | ||||
\(446\) | −2.26816 | − | 2.51905i | −0.107401 | − | 0.119280i | ||||
\(447\) | 2.66445 | + | 25.3506i | 0.126024 | + | 1.19904i | ||||
\(448\) | 1.29335 | + | 0.939674i | 0.0611051 | + | 0.0443954i | ||||
\(449\) | 5.70480 | + | 17.5576i | 0.269226 | + | 0.828593i | 0.990690 | + | 0.136141i | \(0.0434699\pi\) |
−0.721463 | + | 0.692453i | \(0.756530\pi\) | |||||||
\(450\) | 0.809384 | − | 1.40189i | 0.0381547 | − | 0.0660859i | ||||
\(451\) | −5.30977 | − | 7.34453i | −0.250027 | − | 0.345840i | ||||
\(452\) | −4.66881 | + | 8.08662i | −0.219602 | + | 0.380363i | ||||
\(453\) | 23.2928 | − | 25.8692i | 1.09439 | − | 1.21544i | ||||
\(454\) | −1.41416 | + | 13.4548i | −0.0663699 | + | 0.631467i | ||||
\(455\) | −0.0846982 | + | 0.0615368i | −0.00397071 | + | 0.00288489i | ||||
\(456\) | −2.70666 | + | 6.33490i | −0.126751 | + | 0.296659i | ||||
\(457\) | −0.0380440 | + | 0.117087i | −0.00177962 | + | 0.00547712i | −0.951942 | − | 0.306277i | \(-0.900917\pi\) |
0.950163 | + | 0.311754i | \(0.100917\pi\) | |||||||
\(458\) | −18.7874 | − | 8.36471i | −0.877880 | − | 0.390857i | ||||
\(459\) | −0.680107 | + | 6.47079i | −0.0317447 | + | 0.302031i | ||||
\(460\) | −1.64605 | − | 0.349880i | −0.0767477 | − | 0.0163132i | ||||
\(461\) | −0.564063 | − | 0.976986i | −0.0262710 | − | 0.0455028i | 0.852591 | − | 0.522579i | \(-0.175030\pi\) |
−0.878862 | + | 0.477076i | \(0.841697\pi\) | |||||||
\(462\) | −7.26686 | + | 4.17277i | −0.338085 | + | 0.194135i | ||||
\(463\) | −17.5630 | −0.816220 | −0.408110 | − | 0.912933i | \(-0.633812\pi\) | ||||
−0.408110 | + | 0.912933i | \(0.633812\pi\) | |||||||
\(464\) | −0.819846 | − | 2.52323i | −0.0380604 | − | 0.117138i | ||||
\(465\) | −0.839312 | + | 0.373686i | −0.0389221 | + | 0.0173293i | ||||
\(466\) | −1.31400 | − | 12.5019i | −0.0608700 | − | 0.579139i | ||||
\(467\) | −12.7396 | + | 39.2084i | −0.589518 | + | 1.81435i | −0.00920256 | + | 0.999958i | \(0.502929\pi\) |
−0.580315 | + | 0.814392i | \(0.697071\pi\) | |||||||
\(468\) | −0.00762468 | + | 0.0234663i | −0.000352451 | + | 0.00108473i | ||||
\(469\) | −0.646072 | − | 6.14696i | −0.0298328 | − | 0.283840i | ||||
\(470\) | −0.266059 | + | 2.53139i | −0.0122724 | + | 0.116764i | ||||
\(471\) | −28.9692 | − | 6.15760i | −1.33483 | − | 0.283727i | ||||
\(472\) | 0.319335 | + | 0.553104i | 0.0146986 | + | 0.0254587i | ||||
\(473\) | 0.577201 | + | 0.189045i | 0.0265397 | + | 0.00869232i | ||||
\(474\) | −10.8895 | −0.500171 | ||||||||
\(475\) | −10.2970 | + | 9.55680i | −0.472459 | + | 0.438496i | ||||
\(476\) | −1.52033 | − | 1.10458i | −0.0696841 | − | 0.0506284i | ||||
\(477\) | −1.78756 | − | 0.795871i | −0.0818466 | − | 0.0364404i | ||||
\(478\) | 17.6750 | − | 3.75695i | 0.808438 | − | 0.171839i | ||||
\(479\) | 6.06470 | + | 6.73553i | 0.277103 | + | 0.307754i | 0.865591 | − | 0.500752i | \(-0.166943\pi\) |
−0.588488 | + | 0.808506i | \(0.700276\pi\) | |||||||
\(480\) | 1.92466 | + | 0.856912i | 0.0878482 | + | 0.0391125i | ||||
\(481\) | 0.463327 | − | 0.206287i | 0.0211259 | − | 0.00940586i | ||||
\(482\) | 1.77281 | + | 5.45616i | 0.0807494 | + | 0.248521i | ||||
\(483\) | 3.18949 | 0.145127 | ||||||||
\(484\) | −10.9999 | − | 0.0517294i | −0.499994 | − | 0.00235133i | ||||
\(485\) | −7.68839 | + | 13.3167i | −0.349112 | + | 0.604680i | ||||
\(486\) | −1.59496 | − | 4.90880i | −0.0723491 | − | 0.222668i | ||||
\(487\) | 11.2341 | + | 8.16204i | 0.509065 | + | 0.369857i | 0.812469 | − | 0.583005i | \(-0.198123\pi\) |
−0.303404 | + | 0.952862i | \(0.598123\pi\) | |||||||
\(488\) | 0.293656 | + | 2.79395i | 0.0132932 | + | 0.126476i | ||||
\(489\) | −9.23775 | + | 1.96354i | −0.417745 | + | 0.0887945i | ||||
\(490\) | −3.96424 | − | 4.40273i | −0.179086 | − | 0.198895i | ||||
\(491\) | 10.8187 | + | 4.81678i | 0.488239 | + | 0.217378i | 0.636065 | − | 0.771635i | \(-0.280561\pi\) |
−0.147826 | + | 0.989013i | \(0.547228\pi\) | |||||||
\(492\) | 0.451417 | − | 4.29495i | 0.0203514 | − | 0.193631i | ||||
\(493\) | 0.963724 | + | 2.96604i | 0.0434040 | + | 0.133584i | ||||
\(494\) | 0.123235 | − | 0.175118i | 0.00554463 | − | 0.00787892i | ||||
\(495\) | 1.65374 | − | 1.48201i | 0.0743302 | − | 0.0666114i | ||||
\(496\) | −0.218042 | − | 0.377660i | −0.00979037 | − | 0.0169574i | ||||
\(497\) | 6.31875 | − | 7.01769i | 0.283435 | − | 0.314786i | ||||
\(498\) | −20.8216 | + | 9.27037i | −0.933037 | + | 0.415415i | ||||
\(499\) | 28.3222 | + | 12.6099i | 1.26788 | + | 0.564496i | 0.926806 | − | 0.375541i | \(-0.122543\pi\) |
0.341072 | + | 0.940037i | \(0.389210\pi\) | |||||||
\(500\) | 7.33480 | + | 8.14612i | 0.328022 | + | 0.364306i | ||||
\(501\) | 9.60567 | − | 29.5632i | 0.429150 | − | 1.32079i | ||||
\(502\) | 11.6932 | − | 8.49557i | 0.521891 | − | 0.379176i | ||||
\(503\) | −28.0699 | + | 12.4975i | −1.25158 | + | 0.557237i | −0.922109 | − | 0.386930i | \(-0.873535\pi\) |
−0.329466 | + | 0.944167i | \(0.606869\pi\) | |||||||
\(504\) | 0.785405 | + | 0.166943i | 0.0349847 | + | 0.00743623i | ||||
\(505\) | −12.0312 | −0.535379 | ||||||||
\(506\) | 3.62098 | + | 2.10194i | 0.160972 | + | 0.0934426i | ||||
\(507\) | 10.2708 | − | 17.7896i | 0.456144 | − | 0.790065i | ||||
\(508\) | 8.54379 | − | 9.48884i | 0.379069 | − | 0.420999i | ||||
\(509\) | 0.577934 | − | 0.257313i | 0.0256165 | − | 0.0114052i | −0.393888 | − | 0.919158i | \(-0.628870\pi\) |
0.419505 | + | 0.907753i | \(0.362204\pi\) | |||||||
\(510\) | −2.26242 | − | 1.00730i | −0.100182 | − | 0.0446038i | ||||
\(511\) | −5.12406 | + | 1.08915i | −0.226675 | + | 0.0481813i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 0.364161 | + | 24.1240i | 0.0160781 | + | 1.06510i | ||||
\(514\) | 10.9936 | + | 7.98732i | 0.484907 | + | 0.352306i | ||||
\(515\) | −10.4396 | + | 11.5943i | −0.460023 | + | 0.510907i | ||||
\(516\) | 0.144711 | + | 0.250646i | 0.00637053 | + | 0.0110341i | ||||
\(517\) | 2.58935 | − | 5.77916i | 0.113879 | − | 0.254167i | ||||
\(518\) | −8.25235 | − | 14.2935i | −0.362588 | − | 0.628020i | ||||
\(519\) | −32.9662 | − | 7.00719i | −1.44706 | − | 0.307581i | ||||
\(520\) | −0.0529805 | − | 0.0384926i | −0.00232335 | − | 0.00168801i | ||||
\(521\) | −14.5812 | + | 10.5938i | −0.638812 | + | 0.464124i | −0.859442 | − | 0.511233i | \(-0.829189\pi\) |
0.220630 | + | 0.975358i | \(0.429189\pi\) | |||||||
\(522\) | −0.891644 | − | 0.990271i | −0.0390262 | − | 0.0433430i | ||||
\(523\) | 8.92122 | + | 9.90802i | 0.390098 | + | 0.433247i | 0.905920 | − | 0.423448i | \(-0.139180\pi\) |
−0.515823 | + | 0.856695i | \(0.672514\pi\) | |||||||
\(524\) | −6.16964 | + | 4.48251i | −0.269522 | + | 0.195819i | ||||
\(525\) | −6.58784 | − | 4.78635i | −0.287517 | − | 0.208893i | ||||
\(526\) | −7.62632 | − | 1.62102i | −0.332523 | − | 0.0706800i | ||||
\(527\) | 0.256307 | + | 0.443937i | 0.0111649 | + | 0.0193382i | ||||
\(528\) | −3.88706 | − | 3.51651i | −0.169163 | − | 0.153037i | ||||
\(529\) | 10.7032 | + | 18.5385i | 0.465356 | + | 0.806021i | ||||
\(530\) | 3.47504 | − | 3.85942i | 0.150946 | − | 0.167642i | ||||
\(531\) | 0.259516 | + | 0.188549i | 0.0112620 | + | 0.00818235i | ||||
\(532\) | −6.08674 | − | 3.39273i | −0.263894 | − | 0.147094i | ||||
\(533\) | −0.0414821 | + | 0.127669i | −0.00179679 | + | 0.00552995i | ||||
\(534\) | −19.8338 | + | 4.21580i | −0.858292 | + | 0.182436i | ||||
\(535\) | −5.54788 | − | 2.47007i | −0.239856 | − | 0.106791i | ||||
\(536\) | 3.53198 | − | 1.57254i | 0.152558 | − | 0.0679233i | ||||
\(537\) | −14.4833 | + | 16.0853i | −0.625001 | + | 0.694134i | ||||
\(538\) | −3.08135 | + | 5.33706i | −0.132847 | + | 0.230097i | ||||
\(539\) | 5.96359 | + | 13.4797i | 0.256870 | + | 0.580610i | ||||
\(540\) | 7.37856 | 0.317523 | ||||||||
\(541\) | −21.0585 | − | 4.47612i | −0.905374 | − | 0.192443i | −0.268381 | − | 0.963313i | \(-0.586489\pi\) |
−0.636993 | + | 0.770869i | \(0.719822\pi\) | |||||||
\(542\) | −2.66586 | + | 1.18692i | −0.114509 | + | 0.0509825i | ||||
\(543\) | 24.5315 | − | 17.8232i | 1.05275 | − | 0.764865i | ||||
\(544\) | 0.363248 | − | 1.11796i | 0.0155741 | − | 0.0479322i | ||||
\(545\) | 7.86012 | + | 8.72955i | 0.336691 | + | 0.373933i | ||||
\(546\) | 0.113389 | + | 0.0504840i | 0.00485259 | + | 0.00216051i | ||||
\(547\) | 33.5633 | − | 14.9433i | 1.43506 | − | 0.638931i | 0.465785 | − | 0.884898i | \(-0.345772\pi\) |
0.969278 | + | 0.245967i | \(0.0791055\pi\) | |||||||
\(548\) | −5.21615 | + | 5.79312i | −0.222823 | + | 0.247470i | ||||
\(549\) | 0.705514 | + | 1.22199i | 0.0301106 | + | 0.0521531i | ||||
\(550\) | −4.32476 | − | 9.77537i | −0.184409 | − | 0.416823i | ||||
\(551\) | 4.86263 | + | 10.4925i | 0.207155 | + | 0.446995i | ||||
\(552\) | 0.616518 | + | 1.89745i | 0.0262407 | + | 0.0807607i | ||||
\(553\) | 1.15140 | − | 10.9549i | 0.0489626 | − | 0.465848i | ||||
\(554\) | −8.05194 | − | 3.58495i | −0.342094 | − | 0.152310i | ||||
\(555\) | −14.5540 | − | 16.1639i | −0.617784 | − | 0.686119i | ||||
\(556\) | −3.57086 | + | 0.759009i | −0.151438 | + | 0.0321892i | ||||
\(557\) | 1.73060 | + | 16.4656i | 0.0733278 | + | 0.697668i | 0.968001 | + | 0.250946i | \(0.0807418\pi\) |
−0.894673 | + | 0.446721i | \(0.852592\pi\) | |||||||
\(558\) | −0.177198 | − | 0.128742i | −0.00750138 | − | 0.00545007i | ||||
\(559\) | −0.00278002 | − | 0.00855602i | −0.000117582 | − | 0.000361881i | ||||
\(560\) | −1.06556 | + | 1.84561i | −0.0450282 | + | 0.0779911i | ||||
\(561\) | 4.56922 | + | 4.13364i | 0.192913 | + | 0.174522i | ||||
\(562\) | 7.73409 | 0.326243 | ||||||||
\(563\) | 6.59781 | + | 20.3060i | 0.278064 | + | 0.855794i | 0.988392 | + | 0.151923i | \(0.0485467\pi\) |
−0.710328 | + | 0.703871i | \(0.751453\pi\) | |||||||
\(564\) | 2.75675 | − | 1.22739i | 0.116080 | − | 0.0516822i | ||||
\(565\) | −11.3715 | − | 5.06290i | −0.478401 | − | 0.212998i | ||||
\(566\) | 5.29287 | + | 5.87833i | 0.222476 | + | 0.247085i | ||||
\(567\) | −11.3229 | + | 2.40676i | −0.475518 | + | 0.101074i | ||||
\(568\) | 5.39625 | + | 2.40257i | 0.226422 | + | 0.100809i | ||||
\(569\) | 13.2755 | + | 9.64524i | 0.556539 | + | 0.404349i | 0.830191 | − | 0.557480i | \(-0.188231\pi\) |
−0.273652 | + | 0.961829i | \(0.588231\pi\) | |||||||
\(570\) | −8.77570 | − | 2.70565i | −0.367574 | − | 0.113327i | ||||
\(571\) | 8.06834 | 0.337649 | 0.168825 | − | 0.985646i | \(-0.446003\pi\) | ||||
0.168825 | + | 0.985646i | \(0.446003\pi\) | |||||||
\(572\) | 0.0954584 | + | 0.132039i | 0.00399132 | + | 0.00552083i | ||||
\(573\) | −1.32292 | − | 2.29136i | −0.0552658 | − | 0.0957231i | ||||
\(574\) | 4.27300 | + | 0.908254i | 0.178352 | + | 0.0379098i | ||||
\(575\) | −0.425283 | + | 4.04630i | −0.0177355 | + | 0.168742i | ||||
\(576\) | 0.0525007 | + | 0.499511i | 0.00218753 | + | 0.0208130i | ||||
\(577\) | 6.78823 | − | 20.8920i | 0.282598 | − | 0.869746i | −0.704511 | − | 0.709693i | \(-0.748834\pi\) |
0.987108 | − | 0.160053i | \(-0.0511665\pi\) | |||||||
\(578\) | 4.82629 | − | 14.8538i | 0.200747 | − | 0.617837i | ||||
\(579\) | 3.37359 | + | 32.0975i | 0.140201 | + | 1.33393i | ||||
\(580\) | 3.23095 | − | 1.43851i | 0.134158 | − | 0.0597309i | ||||
\(581\) | −7.12445 | − | 21.9268i | −0.295572 | − | 0.909676i | ||||
\(582\) | 18.2301 | 0.755662 | ||||||||
\(583\) | −11.2050 | + | 6.43415i | −0.464066 | + | 0.266475i | ||||
\(584\) | −1.63841 | − | 2.83780i | −0.0677977 | − | 0.117429i | ||||
\(585\) | −0.0321731 | − | 0.00683861i | −0.00133019 | − | 0.000282742i | ||||
\(586\) | 0.204017 | − | 1.94109i | 0.00842785 | − | 0.0801856i | ||||
\(587\) | 24.6314 | + | 10.9666i | 1.01665 | + | 0.452640i | 0.846279 | − | 0.532741i | \(-0.178838\pi\) |
0.170367 | + | 0.985381i | \(0.445505\pi\) | |||||||
\(588\) | −2.17048 | + | 6.68004i | −0.0895089 | + | 0.275480i | ||||
\(589\) | 1.14037 | + | 1.52078i | 0.0469882 | + | 0.0626625i | ||||
\(590\) | −0.688784 | + | 0.500431i | −0.0283568 | + | 0.0206024i | ||||
\(591\) | −1.59056 | + | 15.1331i | −0.0654268 | + | 0.622494i | ||||
\(592\) | 6.90813 | − | 7.67225i | 0.283922 | − | 0.315328i | ||||
\(593\) | −8.50480 | + | 14.7307i | −0.349250 | + | 0.604919i | −0.986116 | − | 0.166055i | \(-0.946897\pi\) |
0.636866 | + | 0.770974i | \(0.280230\pi\) | |||||||
\(594\) | −17.4458 | − | 5.71388i | −0.715811 | − | 0.234443i | ||||
\(595\) | 1.25256 | − | 2.16950i | 0.0513500 | − | 0.0889408i | ||||
\(596\) | −4.98405 | − | 15.3393i | −0.204155 | − | 0.628324i | ||||
\(597\) | −5.10339 | − | 3.70783i | −0.208868 | − | 0.151751i | ||||
\(598\) | −0.00648235 | − | 0.0616755i | −0.000265083 | − | 0.00252210i | ||||
\(599\) | 10.0731 | + | 11.1874i | 0.411578 | + | 0.457103i | 0.912916 | − | 0.408148i | \(-0.133825\pi\) |
−0.501338 | + | 0.865251i | \(0.667159\pi\) | |||||||
\(600\) | 1.57402 | − | 4.84433i | 0.0642590 | − | 0.197769i | ||||
\(601\) | 1.64097 | − | 1.19223i | 0.0669366 | − | 0.0486323i | −0.553814 | − | 0.832641i | \(-0.686828\pi\) |
0.620750 | + | 0.784008i | \(0.286828\pi\) | |||||||
\(602\) | −0.267452 | + | 0.119077i | −0.0109005 | + | 0.00485323i | ||||
\(603\) | 1.29936 | − | 1.44309i | 0.0529140 | − | 0.0587670i | ||||
\(604\) | −11.0130 | + | 19.0751i | −0.448114 | + | 0.776156i | ||||
\(605\) | −1.46417 | − | 14.5904i | −0.0595271 | − | 0.593183i | ||||
\(606\) | 7.13183 | + | 12.3527i | 0.289711 | + | 0.501794i | ||||
\(607\) | −2.33065 | − | 7.17299i | −0.0945980 | − | 0.291143i | 0.892551 | − | 0.450947i | \(-0.148914\pi\) |
−0.987149 | + | 0.159804i | \(0.948914\pi\) | |||||||
\(608\) | 0.841809 | − | 4.27684i | 0.0341399 | − | 0.173449i | ||||
\(609\) | −5.42300 | + | 3.94004i | −0.219751 | + | 0.159658i | ||||
\(610\) | −3.66318 | + | 0.778634i | −0.148318 | + | 0.0315260i | ||||
\(611\) | −0.0917501 | + | 0.0195021i | −0.00371181 | + | 0.000788970i | ||||
\(612\) | −0.0617143 | − | 0.587173i | −0.00249465 | − | 0.0237351i | ||||
\(613\) | −3.18469 | + | 30.3003i | −0.128628 | + | 1.22382i | 0.719677 | + | 0.694309i | \(0.244290\pi\) |
−0.848305 | + | 0.529508i | \(0.822377\pi\) | |||||||
\(614\) | 24.2903 | + | 5.16307i | 0.980278 | + | 0.208365i | ||||
\(615\) | 5.75696 | 0.232143 | ||||||||
\(616\) | 3.94862 | − | 3.53858i | 0.159095 | − | 0.142573i | ||||
\(617\) | 11.0566 | − | 19.1505i | 0.445120 | − | 0.770971i | −0.552940 | − | 0.833221i | \(-0.686494\pi\) |
0.998061 | + | 0.0622500i | \(0.0198276\pi\) | |||||||
\(618\) | 18.0926 | + | 3.84569i | 0.727790 | + | 0.154696i | ||||
\(619\) | 39.8778 | + | 28.9729i | 1.60282 | + | 1.16452i | 0.881820 | + | 0.471587i | \(0.156319\pi\) |
0.721003 | + | 0.692932i | \(0.243681\pi\) | |||||||
\(620\) | 0.470303 | − | 0.341695i | 0.0188878 | − | 0.0137228i | ||||
\(621\) | 4.67544 | + | 5.19261i | 0.187619 | + | 0.208372i | ||||
\(622\) | 26.1546 | − | 5.55933i | 1.04870 | − | 0.222909i | ||||
\(623\) | −2.14398 | − | 20.3986i | −0.0858968 | − | 0.817253i | ||||
\(624\) | −0.00811552 | + | 0.0772140i | −0.000324881 | + | 0.00309103i | ||||
\(625\) | 1.00514 | − | 1.11632i | 0.0402057 | − | 0.0446529i | ||||
\(626\) | 12.9229 | 0.516501 | ||||||||
\(627\) | 18.6540 | + | 13.1930i | 0.744968 | + | 0.526879i | ||||
\(628\) | 18.7396 | 0.747789 | ||||||||
\(629\) | −8.12047 | + | 9.01869i | −0.323784 | + | 0.359599i | ||||
\(630\) | −0.111885 | + | 1.06452i | −0.00445762 | + | 0.0424115i | ||||
\(631\) | 3.15717 | + | 30.0385i | 0.125685 | + | 1.19581i | 0.857563 | + | 0.514378i | \(0.171977\pi\) |
−0.731878 | + | 0.681435i | \(0.761356\pi\) | |||||||
\(632\) | 6.73966 | − | 1.43256i | 0.268089 | − | 0.0569842i | ||||
\(633\) | −15.9770 | − | 17.7443i | −0.635029 | − | 0.705271i | ||||
\(634\) | −5.89128 | + | 4.28027i | −0.233973 | + | 0.169991i | ||||
\(635\) | 13.7704 | + | 10.0048i | 0.546462 | + | 0.397028i | ||||
\(636\) | −6.02250 | − | 1.28012i | −0.238807 | − | 0.0507601i | ||||
\(637\) | 0.109164 | − | 0.189077i | 0.00432522 | − | 0.00749149i | ||||
\(638\) | −8.75319 | + | 0.899194i | −0.346542 | + | 0.0355994i | ||||
\(639\) | 2.96683 | 0.117366 | ||||||||
\(640\) | −1.30393 | − | 0.277159i | −0.0515423 | − | 0.0109557i | ||||
\(641\) | −0.134102 | + | 1.27589i | −0.00529670 | + | 0.0503947i | −0.996851 | − | 0.0792975i | \(-0.974732\pi\) |
0.991554 | + | 0.129692i | \(0.0413989\pi\) | |||||||
\(642\) | 0.752584 | + | 7.16036i | 0.0297021 | + | 0.282597i | ||||
\(643\) | −32.5426 | + | 6.91714i | −1.28335 | + | 0.272785i | −0.798598 | − | 0.601864i | \(-0.794425\pi\) |
−0.484756 | + | 0.874650i | \(0.661092\pi\) | |||||||
\(644\) | −1.97403 | + | 0.419592i | −0.0777875 | + | 0.0165342i | ||||
\(645\) | −0.312132 | + | 0.226777i | −0.0122902 | + | 0.00892934i | ||||
\(646\) | −0.989542 | + | 5.02740i | −0.0389330 | + | 0.197801i | ||||
\(647\) | 9.19986 | + | 28.3143i | 0.361684 | + | 1.11315i | 0.952032 | + | 0.305999i | \(0.0989905\pi\) |
−0.590348 | + | 0.807149i | \(0.701009\pi\) | |||||||
\(648\) | −3.62047 | − | 6.27084i | −0.142226 | − | 0.246342i | ||||
\(649\) | 2.01609 | − | 0.649829i | 0.0791383 | − | 0.0255080i | ||||
\(650\) | −0.0791648 | + | 0.137117i | −0.00310510 | + | 0.00537819i | ||||
\(651\) | −0.737246 | + | 0.818795i | −0.0288950 | + | 0.0320911i | ||||
\(652\) | 5.45907 | − | 2.43053i | 0.213794 | − | 0.0951870i | ||||
\(653\) | 22.4378 | − | 16.3020i | 0.878059 | − | 0.637947i | −0.0546786 | − | 0.998504i | \(-0.517413\pi\) |
0.932737 | + | 0.360557i | \(0.117413\pi\) | |||||||
\(654\) | 4.30353 | − | 13.2449i | 0.168281 | − | 0.517916i | ||||
\(655\) | −6.80241 | − | 7.55484i | −0.265792 | − | 0.295192i | ||||
\(656\) | 0.285630 | + | 2.71759i | 0.0111520 | + | 0.106104i | ||||
\(657\) | −1.33150 | − | 0.967389i | −0.0519466 | − | 0.0377414i | ||||
\(658\) | 0.943268 | + | 2.90308i | 0.0367724 | + | 0.113174i | ||||
\(659\) | 9.00307 | − | 15.5938i | 0.350710 | − | 0.607447i | −0.635664 | − | 0.771966i | \(-0.719274\pi\) |
0.986374 | + | 0.164519i | \(0.0526070\pi\) | |||||||
\(660\) | 4.12041 | − | 5.64330i | 0.160387 | − | 0.219665i | ||||
\(661\) | 12.0915 | − | 20.9431i | 0.470306 | − | 0.814594i | −0.529117 | − | 0.848549i | \(-0.677477\pi\) |
0.999423 | + | 0.0339549i | \(0.0108102\pi\) | |||||||
\(662\) | 2.07719 | − | 2.30695i | 0.0807323 | − | 0.0896623i | ||||
\(663\) | 0.00953975 | − | 0.0907646i | 0.000370493 | − | 0.00352501i | ||||
\(664\) | 11.6672 | − | 8.47674i | 0.452776 | − | 0.328961i | ||||
\(665\) | 3.64980 | − | 8.54230i | 0.141533 | − | 0.331256i | ||||
\(666\) | 1.60237 | − | 4.93158i | 0.0620905 | − | 0.191095i | ||||
\(667\) | 3.05964 | + | 1.36224i | 0.118470 | + | 0.0527461i | ||||
\(668\) | −2.05592 | + | 19.5608i | −0.0795460 | + | 0.756830i | ||||
\(669\) | −5.24012 | − | 1.11382i | −0.202595 | − | 0.0430628i | ||||
\(670\) | 2.57696 | + | 4.46342i | 0.0995566 | + | 0.172437i | ||||
\(671\) | 9.26418 | + | 0.995734i | 0.357640 | + | 0.0384399i | ||||
\(672\) | 2.52657 | 0.0974647 | ||||||||
\(673\) | −10.0029 | − | 30.7858i | −0.385584 | − | 1.18671i | −0.936056 | − | 0.351852i | \(-0.885552\pi\) |
0.550471 | − | 0.834854i | \(-0.314448\pi\) | |||||||
\(674\) | 17.4845 | − | 7.78461i | 0.673479 | − | 0.299852i | ||||
\(675\) | −1.86471 | − | 17.7415i | −0.0717726 | − | 0.682870i | ||||
\(676\) | −4.01648 | + | 12.3614i | −0.154480 | + | 0.475440i | ||||
\(677\) | −7.14731 | + | 21.9972i | −0.274693 | + | 0.845419i | 0.714607 | + | 0.699526i | \(0.246606\pi\) |
−0.989300 | + | 0.145893i | \(0.953394\pi\) | |||||||
\(678\) | 1.54257 | + | 14.6766i | 0.0592420 | + | 0.563650i | ||||
\(679\) | −1.92756 | + | 18.3395i | −0.0739731 | + | 0.703807i | ||||
\(680\) | 1.53276 | + | 0.325799i | 0.0587788 | + | 0.0124938i | ||||
\(681\) | 10.6907 | + | 18.5169i | 0.409670 | + | 0.709569i | ||||
\(682\) | −1.37659 | + | 0.443704i | −0.0527122 | + | 0.0169903i | ||||
\(683\) | 28.9188 | 1.10655 | 0.553273 | − | 0.833000i | \(-0.313379\pi\) | ||||
0.553273 | + | 0.833000i | \(0.313379\pi\) | |||||||
\(684\) | −0.487454 | − | 2.13436i | −0.0186383 | − | 0.0816091i | ||||
\(685\) | −8.40711 | − | 6.10812i | −0.321219 | − | 0.233379i | ||||
\(686\) | −16.7138 | − | 7.44148i | −0.638137 | − | 0.284117i | ||||
\(687\) | −31.7918 | + | 6.75756i | −1.21293 | + | 0.257817i | ||||
\(688\) | −0.122537 | − | 0.136091i | −0.00467169 | − | 0.00518844i | ||||
\(689\) | 0.174838 | + | 0.0778431i | 0.00666082 | + | 0.00296559i | ||||
\(690\) | −2.42965 | + | 1.08175i | −0.0924951 | + | 0.0411815i | ||||
\(691\) | −7.92796 | − | 24.3997i | −0.301594 | − | 0.928210i | −0.980926 | − | 0.194380i | \(-0.937731\pi\) |
0.679333 | − | 0.733831i | \(-0.262269\pi\) | |||||||
\(692\) | 21.3251 | 0.810659 | ||||||||
\(693\) | 1.08889 | − | 2.43030i | 0.0413636 | − | 0.0923194i | ||||
\(694\) | −16.4489 | + | 28.4903i | −0.624391 | + | 1.08148i | ||||
\(695\) | −1.50384 | − | 4.62833i | −0.0570437 | − | 0.175563i | ||||
\(696\) | −3.39219 | − | 2.46457i | −0.128581 | − | 0.0934194i | ||||
\(697\) | −0.335757 | − | 3.19452i | −0.0127177 | − | 0.121001i | ||||
\(698\) | 19.9665 | − | 4.24400i | 0.755741 | − | 0.160638i | ||||
\(699\) | −13.2937 | − | 14.7641i | −0.502814 | − | 0.558431i | ||||
\(700\) | 4.70698 | + | 2.09568i | 0.177907 | + | 0.0792093i | ||||
\(701\) | −1.82044 | + | 17.3203i | −0.0687570 | + | 0.654180i | 0.904816 | + | 0.425803i | \(0.140008\pi\) |
−0.973573 | + | 0.228376i | \(0.926658\pi\) | |||||||
\(702\) | 0.0840258 | + | 0.258605i | 0.00317135 | + | 0.00976041i | ||||
\(703\) | −25.8986 | + | 36.8020i | −0.976786 | + | 1.38801i | ||||
\(704\) | 2.86837 | + | 1.66506i | 0.108106 | + | 0.0627544i | ||||
\(705\) | 2.01135 | + | 3.48376i | 0.0757518 | + | 0.131206i | ||||
\(706\) | 10.5872 | − | 11.7583i | 0.398456 | − | 0.442531i | ||||
\(707\) | −13.1809 | + | 5.86853i | −0.495720 | + | 0.220709i | ||||
\(708\) | 0.922103 | + | 0.410547i | 0.0346548 | + | 0.0154293i | ||||
\(709\) | −28.2506 | − | 31.3755i | −1.06098 | − | 1.17833i | −0.983420 | − | 0.181344i | \(-0.941955\pi\) |
−0.0775555 | − | 0.996988i | \(-0.524712\pi\) | |||||||
\(710\) | −2.43329 | + | 7.48890i | −0.0913198 | + | 0.281053i | ||||
\(711\) | 2.79977 | − | 2.03415i | 0.105000 | − | 0.0762867i | ||||
\(712\) | 11.7208 | − | 5.21844i | 0.439256 | − | 0.195569i | ||||
\(713\) | 0.538473 | + | 0.114456i | 0.0201660 | + | 0.00428641i | ||||
\(714\) | −2.96997 | −0.111148 | ||||||||
\(715\) | −0.161750 | + | 0.144953i | −0.00604912 | + | 0.00542095i | ||||
\(716\) | 6.84784 | − | 11.8608i | 0.255916 | − | 0.443259i | ||||
\(717\) | 19.1091 | − | 21.2228i | 0.713643 | − | 0.792580i | ||||
\(718\) | 2.18194 | − | 0.971461i | 0.0814291 | − | 0.0362546i | ||||
\(719\) | 24.2545 | + | 10.7988i | 0.904540 | + | 0.402727i | 0.805664 | − | 0.592372i | \(-0.201809\pi\) |
0.0988761 | + | 0.995100i | \(0.468475\pi\) | |||||||
\(720\) | −0.654915 | + | 0.139206i | −0.0244072 | + | 0.00518792i | ||||
\(721\) | −5.78180 | + | 17.7946i | −0.215326 | + | 0.662704i | ||||
\(722\) | −1.41478 | + | 18.9473i | −0.0526528 | + | 0.705144i | ||||
\(723\) | 7.33520 | + | 5.32933i | 0.272799 | + | 0.198200i | ||||
\(724\) | −12.8382 | + | 14.2582i | −0.477127 | + | 0.529904i | ||||
\(725\) | −4.27537 | − | 7.40515i | −0.158783 | − | 0.275020i | ||||
\(726\) | −14.1124 | + | 10.1522i | −0.523760 | + | 0.376783i | ||||
\(727\) | −19.8672 | − | 34.4109i | −0.736832 | − | 1.27623i | −0.953915 | − | 0.300077i | \(-0.902988\pi\) |
0.217083 | − | 0.976153i | \(-0.430346\pi\) | |||||||
\(728\) | −0.0768194 | − | 0.0163285i | −0.00284712 | − | 0.000605174i | ||||
\(729\) | −24.1735 | − | 17.5631i | −0.895314 | − | 0.650483i | ||||
\(730\) | 3.53394 | − | 2.56756i | 0.130797 | − | 0.0950295i | ||||
\(731\) | 0.144042 | + | 0.159975i | 0.00532758 | + | 0.00591688i | ||||
\(732\) | 2.97091 | + | 3.29953i | 0.109808 | + | 0.121954i | ||||
\(733\) | 28.9489 | − | 21.0326i | 1.06925 | − | 0.776858i | 0.0934752 | − | 0.995622i | \(-0.470202\pi\) |
0.975778 | + | 0.218764i | \(0.0702024\pi\) | |||||||
\(734\) | 9.08634 | + | 6.60161i | 0.335383 | + | 0.243670i | ||||
\(735\) | −9.15855 | − | 1.94671i | −0.337818 | − | 0.0718055i | ||||
\(736\) | −0.631190 | − | 1.09325i | −0.0232660 | − | 0.0402978i | ||||
\(737\) | −2.63652 | − | 12.5489i | −0.0971174 | − | 0.462243i | ||||
\(738\) | 0.686232 | + | 1.18859i | 0.0252605 | + | 0.0437525i | ||||
\(739\) | 6.03663 | − | 6.70436i | 0.222061 | − | 0.246624i | −0.621812 | − | 0.783166i | \(-0.713603\pi\) |
0.843873 | + | 0.536543i | \(0.180270\pi\) | |||||||
\(740\) | 11.1341 | + | 8.08943i | 0.409299 | + | 0.297373i | ||||
\(741\) | −0.00510803 | − | 0.338383i | −0.000187648 | − | 0.0124308i | ||||
\(742\) | 1.92460 | − | 5.92330i | 0.0706541 | − | 0.217451i | ||||
\(743\) | −28.1573 | + | 5.98502i | −1.03299 | + | 0.219569i | −0.693059 | − | 0.720880i | \(-0.743738\pi\) |
−0.339933 | + | 0.940450i | \(0.610404\pi\) | |||||||
\(744\) | −0.629613 | − | 0.280322i | −0.0230827 | − | 0.0102771i | ||||
\(745\) | 19.6418 | − | 8.74507i | 0.719618 | − | 0.320395i | ||||
\(746\) | 3.23105 | − | 3.58845i | 0.118297 | − | 0.131382i | ||||
\(747\) | 3.62169 | − | 6.27295i | 0.132511 | − | 0.229515i | ||||
\(748\) | −3.37176 | − | 1.95727i | −0.123284 | − | 0.0715649i | ||||
\(749\) | −7.28292 | −0.266112 | ||||||||
\(750\) | 16.9455 | + | 3.60188i | 0.618763 | + | 0.131522i | ||||
\(751\) | −18.4130 | + | 8.19801i | −0.671901 | + | 0.299150i | −0.714186 | − | 0.699956i | \(-0.753203\pi\) |
0.0422851 | + | 0.999106i | \(0.486536\pi\) | |||||||
\(752\) | −1.54473 | + | 1.12231i | −0.0563304 | + | 0.0409264i | ||||
\(753\) | 7.05878 | − | 21.7247i | 0.257236 | − | 0.791692i | ||||
\(754\) | 0.0872105 | + | 0.0968571i | 0.00317602 | + | 0.00352733i | ||||
\(755\) | −26.8236 | − | 11.9426i | −0.976210 | − | 0.434637i | ||||
\(756\) | 8.08371 | − | 3.59910i | 0.294002 | − | 0.130898i | ||||
\(757\) | 5.37344 | − | 5.96781i | 0.195301 | − | 0.216904i | −0.637538 | − | 0.770419i | \(-0.720047\pi\) |
0.832839 | + | 0.553515i | \(0.186714\pi\) | |||||||
\(758\) | −5.72870 | − | 9.92239i | −0.208076 | − | 0.360398i | ||||
\(759\) | 6.58234 | − | 0.676187i | 0.238924 | − | 0.0245440i | ||||
\(760\) | 5.78735 | + | 0.520088i | 0.209929 | + | 0.0188656i | ||||
\(761\) | −4.39712 | − | 13.5329i | −0.159395 | − | 0.490569i | 0.839184 | − | 0.543847i | \(-0.183033\pi\) |
−0.998580 | + | 0.0532785i | \(0.983033\pi\) | |||||||
\(762\) | 2.10935 | − | 20.0691i | 0.0764135 | − | 0.727026i | ||||
\(763\) | 12.8694 | + | 5.72981i | 0.465902 | + | 0.207433i | ||||
\(764\) | 1.12021 | + | 1.24412i | 0.0405279 | + | 0.0450108i | ||||
\(765\) | 0.769849 | − | 0.163637i | 0.0278340 | − | 0.00591629i | ||||
\(766\) | 2.47112 | + | 23.5112i | 0.0892853 | + | 0.849493i | ||||
\(767\) | −0.0253829 | − | 0.0184418i | −0.000916524 | − | 0.000665894i | ||||
\(768\) | 0.488378 | + | 1.50307i | 0.0176228 | + | 0.0542374i | ||||
\(769\) | −15.1798 | + | 26.2921i | −0.547396 | + | 0.948118i | 0.451056 | + | 0.892496i | \(0.351048\pi\) |
−0.998452 | + | 0.0556222i | \(0.982286\pi\) | |||||||
\(770\) | 5.24151 | + | 4.74184i | 0.188891 | + | 0.170884i | ||||
\(771\) | 21.4761 | 0.773444 | ||||||||
\(772\) | −6.31054 | − | 19.4218i | −0.227121 | − | 0.699007i | ||||
\(773\) | 28.5679 | − | 12.7192i | 1.02752 | − | 0.457479i | 0.177435 | − | 0.984132i | \(-0.443220\pi\) |
0.850080 | + | 0.526653i | \(0.176553\pi\) | |||||||
\(774\) | −0.0840269 | − | 0.0374112i | −0.00302028 | − | 0.00134472i | ||||
\(775\) | −0.940447 | − | 1.04447i | −0.0337819 | − | 0.0375186i | ||||
\(776\) | −11.2829 | + | 2.39825i | −0.405032 | + | 0.0860922i | ||||
\(777\) | −23.8293 | − | 10.6095i | −0.854872 | − | 0.380613i | ||||
\(778\) | −9.38939 | − | 6.82179i | −0.336626 | − | 0.244573i | ||||
\(779\) | −2.65200 | − | 11.6120i | −0.0950176 | − | 0.416042i | ||||
\(780\) | −0.103498 | −0.00370582 | ||||||||
\(781\) | 11.5526 | − | 15.8224i | 0.413384 | − | 0.566170i | ||||
\(782\) | 0.741960 | + | 1.28511i | 0.0265324 | + | 0.0459555i | ||||
\(783\) | −14.3640 | − | 3.05317i | −0.513328 | − | 0.109111i | ||||
\(784\) | 0.464551 | − | 4.41991i | 0.0165911 | − | 0.157854i | ||||
\(785\) | 2.61122 | + | 24.8441i | 0.0931984 | + | 0.886724i | ||||
\(786\) | −3.72441 | + | 11.4626i | −0.132845 | + | 0.408856i | ||||
\(787\) | −12.9529 | + | 39.8650i | −0.461722 | + | 1.42103i | 0.401337 | + | 0.915930i | \(0.368546\pi\) |
−0.863059 | + | 0.505103i | \(0.831454\pi\) | |||||||
\(788\) | −1.00641 | − | 9.57537i | −0.0358519 | − | 0.341108i | ||||
\(789\) | −11.2568 | + | 5.01184i | −0.400752 | + | 0.178426i | ||||
\(790\) | 2.83835 | + | 8.73554i | 0.100984 | + | 0.310797i | ||||
\(791\) | −14.9278 | −0.530770 | ||||||||
\(792\) | 1.65628 | + | 0.178020i | 0.0588532 | + | 0.00632567i | ||||
\(793\) | −0.0690054 | − | 0.119521i | −0.00245045 | − | 0.00424431i | ||||
\(794\) | −1.53608 | − | 0.326503i | −0.0545134 | − | 0.0115872i | ||||
\(795\) | 0.857939 | − | 8.16274i | 0.0304280 | − | 0.289503i | ||||
\(796\) | 3.64635 | + | 1.62346i | 0.129241 | + | 0.0575419i | ||||
\(797\) | −15.4757 | + | 47.6292i | −0.548176 | + | 1.68711i | 0.165140 | + | 0.986270i | \(0.447192\pi\) |
−0.713316 | + | 0.700842i | \(0.752808\pi\) | |||||||
\(798\) | −10.9341 | + | 1.31637i | −0.387064 | + | 0.0465989i | ||||
\(799\) | 1.81582 | − | 1.31927i | 0.0642391 | − | 0.0466724i | ||||
\(800\) | −0.336890 | + | 3.20529i | −0.0119109 | + | 0.113324i | ||||
\(801\) | 4.31191 | − | 4.78886i | 0.152354 | − | 0.169206i | ||||
\(802\) | −11.2377 | + | 19.4643i | −0.396818 | + | 0.687309i | ||||
\(803\) | −10.3439 | + | 3.33407i | −0.365029 | + | 0.117657i | ||||
\(804\) | 3.05514 | − | 5.29166i | 0.107746 | − | 0.186622i | ||||
\(805\) | −0.831344 | − | 2.55861i | −0.0293010 | − | 0.0901792i | ||||
\(806\) | 0.0173315 | + | 0.0125921i | 0.000610476 | + | 0.000443536i | ||||
\(807\) | 1.01807 | + | 9.68633i | 0.0358379 | + | 0.340975i | ||||
\(808\) | −6.03905 | − | 6.70704i | −0.212453 | − | 0.235953i | ||||
\(809\) | −1.00237 | + | 3.08498i | −0.0352415 | + | 0.108462i | −0.967130 | − | 0.254283i | \(-0.918160\pi\) |
0.931888 | + | 0.362745i | \(0.118160\pi\) | |||||||
\(810\) | 7.80913 | − | 5.67367i | 0.274385 | − | 0.199352i | ||||
\(811\) | −50.5623 | + | 22.5118i | −1.77548 | + | 0.790495i | −0.791751 | + | 0.610845i | \(0.790830\pi\) |
−0.983730 | + | 0.179651i | \(0.942503\pi\) | |||||||
\(812\) | 2.83804 | − | 3.15197i | 0.0995958 | − | 0.110612i | ||||
\(813\) | −2.30596 | + | 3.99404i | −0.0808735 | + | 0.140077i | ||||
\(814\) | −20.0611 | − | 27.7488i | −0.703142 | − | 0.972593i | ||||
\(815\) | 3.98298 | + | 6.89872i | 0.139518 | + | 0.241652i | ||||
\(816\) | −0.574085 | − | 1.76685i | −0.0200970 | − | 0.0618522i | ||||
\(817\) | 0.601203 | + | 0.525113i | 0.0210334 | + | 0.0183714i | ||||
\(818\) | −15.1635 | + | 11.0169i | −0.530178 | + | 0.385197i | ||||
\(819\) | −0.0385835 | + | 0.00820118i | −0.00134822 | + | 0.000286572i | ||||
\(820\) | −3.56307 | + | 0.757353i | −0.124428 | + | 0.0264479i | ||||
\(821\) | 1.86535 | + | 17.7476i | 0.0651012 | + | 0.619397i | 0.977622 | + | 0.210367i | \(0.0674660\pi\) |
−0.912521 | + | 0.409030i | \(0.865867\pi\) | |||||||
\(822\) | −1.28780 | + | 12.2526i | −0.0449171 | + | 0.427357i | ||||
\(823\) | 42.8981 | + | 9.11826i | 1.49533 | + | 0.317843i | 0.881723 | − | 0.471767i | \(-0.156384\pi\) |
0.613609 | + | 0.789610i | \(0.289717\pi\) | |||||||
\(824\) | −11.7037 | −0.407717 | ||||||||
\(825\) | −14.6104 | − | 8.48120i | −0.508670 | − | 0.295277i | ||||
\(826\) | −0.510510 | + | 0.884230i | −0.0177629 | + | 0.0307663i | ||||
\(827\) | −1.46047 | − | 0.310432i | −0.0507854 | − | 0.0107948i | 0.182449 | − | 0.983215i | \(-0.441598\pi\) |
−0.233234 | + | 0.972421i | \(0.574931\pi\) | |||||||
\(828\) | −0.512954 | − | 0.372683i | −0.0178264 | − | 0.0129516i | ||||
\(829\) | 3.63085 | − | 2.63796i | 0.126104 | − | 0.0916203i | −0.522945 | − | 0.852366i | \(-0.675167\pi\) |
0.649050 | + | 0.760746i | \(0.275167\pi\) | |||||||
\(830\) | 12.8638 | + | 14.2867i | 0.446511 | + | 0.495900i | ||||
\(831\) | −13.6254 | + | 2.89616i | −0.472659 | + | 0.100467i | ||||
\(832\) | −0.00513503 | − | 0.0488565i | −0.000178025 | − | 0.00169380i | ||||
\(833\) | −0.546078 | + | 5.19558i | −0.0189205 | + | 0.180016i | ||||
\(834\) | −3.86058 | + | 4.28761i | −0.133681 | + | 0.148468i | ||||
\(835\) | −26.2193 | −0.907358 | ||||||||
\(836\) | −13.2808 | − | 5.71136i | −0.459327 | − | 0.197531i | ||||
\(837\) | −2.41375 | −0.0834314 | ||||||||
\(838\) | −14.2591 | + | 15.8363i | −0.492572 | + | 0.547057i | ||||
\(839\) | 2.82493 | − | 26.8775i | 0.0975276 | − | 0.927913i | −0.830906 | − | 0.556413i | \(-0.812177\pi\) |
0.928433 | − | 0.371499i | \(-0.121156\pi\) | |||||||
\(840\) | 0.352060 | + | 3.34962i | 0.0121472 | + | 0.115573i | ||||
\(841\) | 21.4813 | − | 4.56599i | 0.740734 | − | 0.157448i | ||||
\(842\) | 22.9961 | + | 25.5397i | 0.792497 | + | 0.880158i | ||||
\(843\) | 9.88873 | − | 7.18458i | 0.340586 | − | 0.247450i | ||||
\(844\) | 12.2227 | + | 8.88034i | 0.420724 | + | 0.305674i | ||||
\(845\) | −16.9479 | − | 3.60240i | −0.583027 | − | 0.123926i | ||||
\(846\) | −0.479507 | + | 0.830530i | −0.0164858 | + | 0.0285542i | ||||
\(847\) | −8.72096 | − | 15.2705i | −0.299656 | − | 0.524702i | ||||
\(848\) | 3.89582 | 0.133783 | ||||||||
\(849\) | 12.2281 | + | 2.59916i | 0.419666 | + | 0.0892029i | ||||
\(850\) | 0.396013 | − | 3.76781i | 0.0135831 | − | 0.129235i | ||||
\(851\) | 1.36230 | + | 12.9614i | 0.0466992 | + | 0.444313i | ||||
\(852\) | 9.13145 | − | 1.94095i | 0.312838 | − | 0.0664958i | ||||
\(853\) | −21.6576 | + | 4.60346i | −0.741541 | + | 0.157619i | −0.563167 | − | 0.826343i | \(-0.690417\pi\) |
−0.178374 | + | 0.983963i | \(0.557084\pi\) | |||||||
\(854\) | −3.63346 | + | 2.63987i | −0.124335 | + | 0.0903343i | ||||
\(855\) | 2.76172 | − | 0.943653i | 0.0944487 | − | 0.0322723i | ||||
\(856\) | −1.40776 | − | 4.33265i | −0.0481163 | − | 0.148087i | ||||
\(857\) | −24.1875 | − | 41.8939i | −0.826229 | − | 1.43107i | −0.900977 | − | 0.433868i | \(-0.857149\pi\) |
0.0747480 | − | 0.997202i | \(-0.476185\pi\) | |||||||
\(858\) | 0.244710 | + | 0.0801476i | 0.00835425 | + | 0.00273619i | ||||
\(859\) | −10.8618 | + | 18.8131i | −0.370599 | + | 0.641896i | −0.989658 | − | 0.143449i | \(-0.954181\pi\) |
0.619059 | + | 0.785345i | \(0.287514\pi\) | |||||||
\(860\) | 0.163350 | − | 0.181418i | 0.00557017 | − | 0.00618630i | ||||
\(861\) | 6.30713 | − | 2.80812i | 0.214947 | − | 0.0957003i | ||||
\(862\) | 12.0398 | − | 8.74743i | 0.410077 | − | 0.297938i | ||||
\(863\) | −14.0504 | + | 43.2426i | −0.478280 | + | 1.47199i | 0.363202 | + | 0.931710i | \(0.381683\pi\) |
−0.841482 | + | 0.540285i | \(0.818317\pi\) | |||||||
\(864\) | 3.70368 | + | 4.11335i | 0.126002 | + | 0.139939i | ||||
\(865\) | 2.97150 | + | 28.2719i | 0.101034 | + | 0.961275i | ||||
\(866\) | −1.13959 | − | 0.827964i | −0.0387250 | − | 0.0281354i | ||||
\(867\) | −7.62759 | − | 23.4753i | −0.259046 | − | 0.797263i | ||||
\(868\) | 0.348577 | − | 0.603753i | 0.0118315 | − | 0.0204927i | ||||
\(869\) | 0.0537336 | − | 22.8523i | 0.00182279 | − | 0.775210i | ||||
\(870\) | 2.79475 | − | 4.84065i | 0.0947509 | − | 0.164113i | ||||
\(871\) | −0.127089 | + | 0.141146i | −0.00430624 | + | 0.00478256i | ||||
\(872\) | −0.921092 | + | 8.76361i | −0.0311921 | + | 0.296773i | ||||
\(873\) | −4.68710 | + | 3.40538i | −0.158634 | + | 0.115255i | ||||
\(874\) | 3.30116 | + | 4.40236i | 0.111663 | + | 0.148912i | ||||
\(875\) | −5.41525 | + | 16.6664i | −0.183069 | + | 0.563428i | ||||
\(876\) | −4.73102 | − | 2.10639i | −0.159846 | − | 0.0711682i | ||||
\(877\) | 0.548852 | − | 5.22198i | 0.0185334 | − | 0.176334i | −0.981339 | − | 0.192284i | \(-0.938411\pi\) |
0.999873 | + | 0.0159500i | \(0.00507726\pi\) | |||||||
\(878\) | 21.0081 | + | 4.46541i | 0.708989 | + | 0.150700i | ||||
\(879\) | −1.54232 | − | 2.67138i | −0.0520212 | − | 0.0901033i | ||||
\(880\) | −1.80778 | + | 4.03478i | −0.0609403 | + | 0.136013i | ||||
\(881\) | −2.93482 | −0.0988766 | −0.0494383 | − | 0.998777i | \(-0.515743\pi\) | ||||
−0.0494383 | + | 0.998777i | \(0.515743\pi\) | |||||||
\(882\) | −0.689783 | − | 2.12293i | −0.0232262 | − | 0.0714829i | ||||
\(883\) | 7.70147 | − | 3.42891i | 0.259175 | − | 0.115392i | −0.273036 | − | 0.962004i | \(-0.588028\pi\) |
0.532211 | + | 0.846612i | \(0.321361\pi\) | |||||||
\(884\) | 0.00603620 | + | 0.0574306i | 0.000203019 | + | 0.00193160i | ||||
\(885\) | −0.415797 | + | 1.27969i | −0.0139769 | + | 0.0430164i | ||||
\(886\) | −6.56984 | + | 20.2199i | −0.220718 | + | 0.679300i | ||||
\(887\) | −6.13766 | − | 58.3959i | −0.206082 | − | 1.96074i | −0.270213 | − | 0.962801i | \(-0.587094\pi\) |
0.0641308 | − | 0.997942i | \(-0.479573\pi\) | |||||||
\(888\) | 1.70552 | − | 16.2270i | 0.0572336 | − | 0.544541i | ||||
\(889\) | 19.9665 | + | 4.24402i | 0.669656 | + | 0.142340i | ||||
\(890\) | 8.55160 | + | 14.8118i | 0.286650 | + | 0.496493i | ||||
\(891\) | −22.8575 | + | 7.36747i | −0.765754 | + | 0.246820i | ||||
\(892\) | 3.38972 | 0.113496 | ||||||||
\(893\) | 6.10030 | − | 5.66178i | 0.204139 | − | 0.189464i | ||||
\(894\) | −20.6220 | − | 14.9828i | −0.689704 | − | 0.501099i | ||||
\(895\) | 16.6787 | + | 7.42585i | 0.557509 | + | 0.248219i | ||||
\(896\) | −1.56373 | + | 0.332382i | −0.0522407 | + | 0.0111041i | ||||
\(897\) | −0.0655817 | − | 0.0728358i | −0.00218971 | − | 0.00243192i | ||||
\(898\) | −16.8651 | − | 7.50882i | −0.562795 | − | 0.250573i | ||||
\(899\) | −1.05694 | + | 0.470579i | −0.0352509 | + | 0.0156947i | ||||
\(900\) | 0.500227 | + | 1.53954i | 0.0166742 | + | 0.0513180i | ||||
\(901\) | −4.57951 | −0.152566 | ||||||||
\(902\) | 9.01098 | + | 0.968520i | 0.300033 | + | 0.0322482i | ||||
\(903\) | −0.231344 | + | 0.400700i | −0.00769866 | + | 0.0133345i | ||||
\(904\) | −2.88548 | − | 8.88061i | −0.0959698 | − | 0.295365i | ||||
\(905\) | −20.6919 | − | 15.0335i | −0.687822 | − | 0.499732i | ||||
\(906\) | 3.63869 | + | 34.6198i | 0.120887 | + | 1.15017i | ||||
\(907\) | 2.77112 | − | 0.589019i | 0.0920134 | − | 0.0195581i | −0.161675 | − | 0.986844i | \(-0.551690\pi\) |
0.253688 | + | 0.967286i | \(0.418356\pi\) | |||||||
\(908\) | −9.05264 | − | 10.0540i | −0.300422 | − | 0.333653i | ||||
\(909\) | −4.14113 | − | 1.84375i | −0.137352 | − | 0.0611533i | ||||
\(910\) | 0.0109434 | − | 0.104119i | 0.000362769 | − | 0.00345152i | ||||
\(911\) | −12.5529 | − | 38.6339i | −0.415896 | − | 1.28000i | −0.911447 | − | 0.411418i | \(-0.865034\pi\) |
0.495551 | − | 0.868579i | \(-0.334966\pi\) | |||||||
\(912\) | −2.89664 | − | 6.25032i | −0.0959173 | − | 0.206969i | ||||
\(913\) | −19.3517 | − | 43.7411i | −0.640448 | − | 1.44762i | ||||
\(914\) | −0.0615565 | − | 0.106619i | −0.00203611 | − | 0.00352664i | ||||
\(915\) | −3.96040 | + | 4.39847i | −0.130927 | + | 0.145409i | ||||
\(916\) | 18.7874 | − | 8.36471i | 0.620755 | − | 0.276378i | ||||
\(917\) | −11.1376 | − | 4.95877i | −0.367795 | − | 0.163753i | ||||
\(918\) | −4.35365 | − | 4.83522i | −0.143692 | − | 0.159586i | ||||
\(919\) | −10.5283 | + | 32.4027i | −0.347296 | + | 1.06887i | 0.613048 | + | 0.790046i | \(0.289943\pi\) |
−0.960343 | + | 0.278820i | \(0.910057\pi\) | |||||||
\(920\) | 1.36144 | − | 0.989141i | 0.0448852 | − | 0.0326110i | ||||
\(921\) | 35.8536 | − | 15.9630i | 1.18142 | − | 0.526000i | ||||
\(922\) | 1.10347 | + | 0.234551i | 0.0363410 | + | 0.00772451i | ||||
\(923\) | −0.290182 | −0.00955145 | ||||||||
\(924\) | 1.76150 | − | 8.19246i | 0.0579493 | − | 0.269512i | ||||
\(925\) | 16.6369 | − | 28.8160i | 0.547019 | − | 0.947464i | ||||
\(926\) | 11.7519 | − | 13.0518i | 0.386192 | − | 0.428909i | ||||
\(927\) | −5.37011 | + | 2.39093i | −0.176378 | + | 0.0785284i | ||||
\(928\) | 2.42371 | + | 1.07910i | 0.0795620 | + | 0.0354233i | ||||
\(929\) | 32.5655 | − | 6.92201i | 1.06844 | − | 0.227104i | 0.360055 | − | 0.932931i | \(-0.382758\pi\) |
0.708384 | + | 0.705827i | \(0.249424\pi\) | |||||||
\(930\) | 0.283907 | − | 0.873775i | 0.00930966 | − | 0.0286522i | ||||
\(931\) | 0.292396 | + | 19.3699i | 0.00958288 | + | 0.634822i | ||||
\(932\) | 10.1700 | + | 7.38891i | 0.333128 | + | 0.242032i | ||||
\(933\) | 28.2767 | − | 31.4044i | 0.925736 | − | 1.02813i | ||||
\(934\) | −20.6131 | − | 35.7029i | −0.674481 | − | 1.16824i | ||||
\(935\) | 2.12504 | − | 4.74287i | 0.0694961 | − | 0.155108i | ||||
\(936\) | −0.0123370 | − | 0.0213683i | −0.000403247 | − | 0.000698444i | ||||
\(937\) | −44.9961 | − | 9.56423i | −1.46996 | − | 0.312450i | −0.597790 | − | 0.801653i | \(-0.703954\pi\) |
−0.872170 | + | 0.489203i | \(0.837288\pi\) | |||||||
\(938\) | 5.00039 | + | 3.63300i | 0.163269 | + | 0.118622i | ||||
\(939\) | 16.5230 | − | 12.0047i | 0.539209 | − | 0.391758i | ||||
\(940\) | −1.70316 | − | 1.89155i | −0.0555509 | − | 0.0616955i | ||||
\(941\) | 19.4382 | + | 21.5884i | 0.633669 | + | 0.703761i | 0.971391 | − | 0.237485i | \(-0.0763231\pi\) |
−0.337722 | + | 0.941246i | \(0.609656\pi\) | |||||||
\(942\) | 23.9602 | − | 17.4081i | 0.780665 | − | 0.567186i | ||||
\(943\) | −2.79073 | − | 2.02758i | −0.0908786 | − | 0.0660272i | ||||
\(944\) | −0.624713 | − | 0.132787i | −0.0203327 | − | 0.00432184i | ||||
\(945\) | 5.89794 | + | 10.2155i | 0.191860 | + | 0.332311i | ||||
\(946\) | −0.526711 | + | 0.302448i | −0.0171248 | + | 0.00983342i | ||||
\(947\) | 8.80863 | + | 15.2570i | 0.286242 | + | 0.495786i | 0.972910 | − | 0.231186i | \(-0.0742605\pi\) |
−0.686668 | + | 0.726972i | \(0.740927\pi\) | |||||||
\(948\) | 7.28649 | − | 8.09246i | 0.236654 | − | 0.262831i | ||||
\(949\) | 0.130232 | + | 0.0946190i | 0.00422751 | + | 0.00307146i | ||||
\(950\) | −0.212044 | − | 14.0469i | −0.00687960 | − | 0.455742i | ||||
\(951\) | −3.55638 | + | 10.9454i | −0.115323 | + | 0.354929i | ||||
\(952\) | 1.83816 | − | 0.390713i | 0.0595752 | − | 0.0126631i | ||||
\(953\) | −41.9520 | − | 18.6782i | −1.35896 | − | 0.605047i | −0.407608 | − | 0.913157i | \(-0.633637\pi\) |
−0.951351 | + | 0.308110i | \(0.900304\pi\) | |||||||
\(954\) | 1.78756 | − | 0.795871i | 0.0578743 | − | 0.0257673i | ||||
\(955\) | −1.49331 | + | 1.65849i | −0.0483225 | + | 0.0536676i | ||||
\(956\) | −9.03496 | + | 15.6490i | −0.292211 | + | 0.506125i | ||||
\(957\) | −10.3564 | + | 9.28097i | −0.334776 | + | 0.300011i | ||||
\(958\) | −9.06355 | −0.292830 | ||||||||
\(959\) | −12.1900 | − | 2.59106i | −0.393634 | − | 0.0836695i | ||||
\(960\) | −1.92466 | + | 0.856912i | −0.0621180 | + | 0.0276567i | ||||
\(961\) | 24.9257 | − | 18.1096i | 0.804054 | − | 0.584179i | ||||
\(962\) | −0.156726 | + | 0.482352i | −0.00505304 | + | 0.0155516i | ||||
\(963\) | −1.53105 | − | 1.70040i | −0.0493373 | − | 0.0547946i | ||||
\(964\) | −5.24096 | − | 2.33343i | −0.168800 | − | 0.0751546i | ||||
\(965\) | 24.8693 | − | 11.0725i | 0.800571 | − | 0.356437i | ||||
\(966\) | −2.13419 | + | 2.37026i | −0.0686664 | + | 0.0762617i | ||||
\(967\) | −4.91597 | − | 8.51471i | −0.158087 | − | 0.273815i | 0.776092 | − | 0.630620i | \(-0.217199\pi\) |
−0.934179 | + | 0.356805i | \(0.883866\pi\) | |||||||
\(968\) | 7.39880 | − | 8.13989i | 0.237806 | − | 0.261626i | ||||
\(969\) | 3.40499 | + | 7.34722i | 0.109384 | + | 0.236027i | ||||
\(970\) | −4.75169 | − | 14.6242i | −0.152568 | − | 0.469555i | ||||
\(971\) | 4.58923 | − | 43.6637i | 0.147276 | − | 1.40123i | −0.632202 | − | 0.774803i | \(-0.717849\pi\) |
0.779478 | − | 0.626430i | \(-0.215485\pi\) | |||||||
\(972\) | 4.71519 | + | 2.09934i | 0.151240 | + | 0.0673362i | ||||
\(973\) | −3.90515 | − | 4.33711i | −0.125193 | − | 0.139041i | ||||
\(974\) | −13.5826 | + | 2.88708i | −0.435216 | + | 0.0925080i | ||||
\(975\) | 0.0261559 | + | 0.248857i | 0.000837659 | + | 0.00796980i | ||||
\(976\) | −2.27281 | − | 1.65129i | −0.0727507 | − | 0.0528565i | ||||
\(977\) | 0.750057 | + | 2.30844i | 0.0239964 | + | 0.0738535i | 0.962338 | − | 0.271857i | \(-0.0876379\pi\) |
−0.938341 | + | 0.345711i | \(0.887638\pi\) | |||||||
\(978\) | 4.72206 | − | 8.17885i | 0.150995 | − | 0.261531i | ||||
\(979\) | −8.74925 | − | 41.6432i | −0.279627 | − | 1.33092i | ||||
\(980\) | 5.92446 | 0.189250 | ||||||||
\(981\) | 1.36767 | + | 4.20926i | 0.0436664 | + | 0.134391i | ||||
\(982\) | −10.8187 | + | 4.81678i | −0.345237 | + | 0.153710i | ||||
\(983\) | −13.2074 | − | 5.88033i | −0.421252 | − | 0.187553i | 0.185153 | − | 0.982710i | \(-0.440722\pi\) |
−0.606404 | + | 0.795156i | \(0.707389\pi\) | |||||||
\(984\) | 2.88971 | + | 3.20935i | 0.0921206 | + | 0.102310i | ||||
\(985\) | 12.5544 | − | 2.66852i | 0.400016 | − | 0.0850260i | ||||
\(986\) | −2.84905 | − | 1.26848i | −0.0907324 | − | 0.0403966i | ||||
\(987\) | 3.90287 | + | 2.83560i | 0.124230 | + | 0.0902581i | ||||
\(988\) | 0.0476773 | + | 0.208759i | 0.00151682 | + | 0.00664149i | ||||
\(989\) | 0.231178 | 0.00735104 | ||||||||
\(990\) | −0.00522147 | + | 2.22063i | −0.000165949 | + | 0.0705762i | ||||
\(991\) | 30.8205 | + | 53.3826i | 0.979045 | + | 1.69576i | 0.665883 | + | 0.746056i | \(0.268055\pi\) |
0.313162 | + | 0.949700i | \(0.398612\pi\) | |||||||
\(992\) | 0.426554 | + | 0.0906669i | 0.0135431 | + | 0.00287868i | ||||
\(993\) | 0.512830 | − | 4.87925i | 0.0162742 | − | 0.154838i | ||||
\(994\) | 0.987086 | + | 9.39150i | 0.0313085 | + | 0.297880i | ||||
\(995\) | −1.64422 | + | 5.06039i | −0.0521253 | + | 0.160425i | ||||
\(996\) | 7.04313 | − | 21.6765i | 0.223170 | − | 0.686847i | ||||
\(997\) | −4.92434 | − | 46.8520i | −0.155955 | − | 1.48382i | −0.740281 | − | 0.672298i | \(-0.765308\pi\) |
0.584326 | − | 0.811519i | \(-0.301359\pi\) | |||||||
\(998\) | −28.3222 | + | 12.6099i | −0.896525 | + | 0.399159i | ||||
\(999\) | −17.6585 | − | 54.3473i | −0.558690 | − | 1.71947i |
(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 | 418.2.n.d.159.2 | yes | 64 | |
11.9 | even | 5 | inner | 418.2.n.d.273.7 | yes | 64 | |
19.11 | even | 3 | inner | 418.2.n.d.49.7 | ✓ | 64 | |
209.163 | even | 15 | inner | 418.2.n.d.163.2 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.n.d.49.7 | ✓ | 64 | 19.11 | even | 3 | inner | |
418.2.n.d.159.2 | yes | 64 | 1.1 | even | 1 | trivial | |
418.2.n.d.163.2 | yes | 64 | 209.163 | even | 15 | inner | |
418.2.n.d.273.7 | yes | 64 | 11.9 | even | 5 | inner |