Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 365.10 | ||
Character | \(\chi\) | \(=\) | 462.365 |
Dual form | 462.2.w.a.281.10 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | 1.23159 | + | 1.21786i | 0.711060 | + | 0.703132i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 1.20361 | − | 0.391077i | 0.538271 | − | 0.174895i | −0.0272501 | − | 0.999629i | \(-0.508675\pi\) |
0.565521 | + | 0.824734i | \(0.308675\pi\) | |||||||
\(6\) | 1.53884 | − | 0.794973i | 0.628227 | − | 0.324547i | ||||
\(7\) | 0.587785 | − | 0.809017i | 0.222162 | − | 0.305780i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0.0336340 | + | 2.99981i | 0.0112113 | + | 0.999937i | ||||
\(10\) | − | 1.26555i | − | 0.400202i | ||||||
\(11\) | 3.11275 | − | 1.14489i | 0.938531 | − | 0.345196i | ||||
\(12\) | −0.280538 | − | 1.70918i | −0.0809844 | − | 0.493398i | ||||
\(13\) | −0.142725 | − | 0.0463742i | −0.0395848 | − | 0.0128619i | 0.289158 | − | 0.957281i | \(-0.406625\pi\) |
−0.328742 | + | 0.944420i | \(0.606625\pi\) | |||||||
\(14\) | −0.587785 | − | 0.809017i | −0.157092 | − | 0.216219i | ||||
\(15\) | 1.95863 | + | 0.984183i | 0.505717 | + | 0.254115i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.379364 | − | 1.16756i | −0.0920093 | − | 0.283176i | 0.894453 | − | 0.447161i | \(-0.147565\pi\) |
−0.986463 | + | 0.163986i | \(0.947565\pi\) | |||||||
\(18\) | 2.86338 | + | 0.895005i | 0.674906 | + | 0.210955i | ||||
\(19\) | 2.43237 | + | 3.34788i | 0.558025 | + | 0.768056i | 0.991074 | − | 0.133315i | \(-0.0425622\pi\) |
−0.433049 | + | 0.901371i | \(0.642562\pi\) | |||||||
\(20\) | −1.20361 | − | 0.391077i | −0.269136 | − | 0.0874475i | ||||
\(21\) | 1.70918 | − | 0.280538i | 0.372974 | − | 0.0612184i | ||||
\(22\) | −0.126956 | − | 3.31419i | −0.0270672 | − | 0.706589i | ||||
\(23\) | − | 7.98930i | − | 1.66588i | −0.553360 | − | 0.832942i | \(-0.686655\pi\) | ||
0.553360 | − | 0.832942i | \(-0.313345\pi\) | |||||||
\(24\) | −1.71222 | − | 0.261358i | −0.349505 | − | 0.0533495i | ||||
\(25\) | −2.74935 | + | 1.99752i | −0.549869 | + | 0.399503i | ||||
\(26\) | −0.0882090 | + | 0.121409i | −0.0172992 | + | 0.0238103i | ||||
\(27\) | −3.61193 | + | 3.73550i | −0.695116 | + | 0.718898i | ||||
\(28\) | −0.951057 | + | 0.309017i | −0.179733 | + | 0.0583987i | ||||
\(29\) | 4.28495 | + | 3.11320i | 0.795695 | + | 0.578106i | 0.909648 | − | 0.415380i | \(-0.136351\pi\) |
−0.113953 | + | 0.993486i | \(0.536351\pi\) | |||||||
\(30\) | 1.54126 | − | 1.55864i | 0.281395 | − | 0.284568i | ||||
\(31\) | −1.38692 | + | 4.26849i | −0.249097 | + | 0.766643i | 0.745838 | + | 0.666127i | \(0.232049\pi\) |
−0.994935 | + | 0.100516i | \(0.967951\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 5.22795 | + | 2.38087i | 0.910069 | + | 0.414456i | ||||
\(34\) | −1.22765 | −0.210540 | ||||||||
\(35\) | 0.391077 | − | 1.20361i | 0.0661041 | − | 0.203447i | ||||
\(36\) | 1.73603 | − | 2.44667i | 0.289339 | − | 0.407778i | ||||
\(37\) | −6.04544 | − | 4.39227i | −0.993864 | − | 0.722085i | −0.0331002 | − | 0.999452i | \(-0.510538\pi\) |
−0.960764 | + | 0.277368i | \(0.910538\pi\) | |||||||
\(38\) | 3.93566 | − | 1.27878i | 0.638449 | − | 0.207445i | ||||
\(39\) | −0.119302 | − | 0.230933i | −0.0191036 | − | 0.0369789i | ||||
\(40\) | −0.743872 | + | 1.02385i | −0.117617 | + | 0.161885i | ||||
\(41\) | 7.89214 | − | 5.73398i | 1.23255 | − | 0.895496i | 0.235467 | − | 0.971882i | \(-0.424338\pi\) |
0.997078 | + | 0.0763859i | \(0.0243381\pi\) | |||||||
\(42\) | 0.261358 | − | 1.71222i | 0.0403285 | − | 0.264201i | ||||
\(43\) | 4.38794i | 0.669154i | 0.942368 | + | 0.334577i | \(0.108593\pi\) | ||||
−0.942368 | + | 0.334577i | \(0.891407\pi\) | |||||||
\(44\) | −3.19122 | − | 0.903399i | −0.481094 | − | 0.136193i | ||||
\(45\) | 1.21364 | + | 3.59745i | 0.180919 | + | 0.536277i | ||||
\(46\) | −7.59828 | − | 2.46883i | −1.12030 | − | 0.364009i | ||||
\(47\) | −1.64278 | − | 2.26109i | −0.239623 | − | 0.329813i | 0.672220 | − | 0.740351i | \(-0.265341\pi\) |
−0.911843 | + | 0.410538i | \(0.865341\pi\) | |||||||
\(48\) | −0.777671 | + | 1.54765i | −0.112247 | + | 0.223384i | ||||
\(49\) | −0.309017 | − | 0.951057i | −0.0441453 | − | 0.135865i | ||||
\(50\) | 1.05016 | + | 3.23205i | 0.148515 | + | 0.457081i | ||||
\(51\) | 0.954706 | − | 1.89997i | 0.133686 | − | 0.266049i | ||||
\(52\) | 0.0882090 | + | 0.121409i | 0.0122324 | + | 0.0168364i | ||||
\(53\) | −5.52399 | − | 1.79485i | −0.758779 | − | 0.246542i | −0.0960245 | − | 0.995379i | \(-0.530613\pi\) |
−0.662755 | + | 0.748837i | \(0.730613\pi\) | |||||||
\(54\) | 2.43653 | + | 4.58948i | 0.331569 | + | 0.624549i | ||||
\(55\) | 3.29881 | − | 2.59532i | 0.444811 | − | 0.349953i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | −1.08155 | + | 7.08551i | −0.143255 | + | 0.938498i | ||||
\(58\) | 4.28495 | − | 3.11320i | 0.562641 | − | 0.408783i | ||||
\(59\) | −8.64390 | + | 11.8973i | −1.12534 | + | 1.54890i | −0.328708 | + | 0.944432i | \(0.606613\pi\) |
−0.796632 | + | 0.604465i | \(0.793387\pi\) | |||||||
\(60\) | −1.00608 | − | 1.94748i | −0.129884 | − | 0.251418i | ||||
\(61\) | −2.40987 | + | 0.783013i | −0.308552 | + | 0.100255i | −0.459200 | − | 0.888333i | \(-0.651864\pi\) |
0.150648 | + | 0.988587i | \(0.451864\pi\) | |||||||
\(62\) | 3.63099 | + | 2.63807i | 0.461137 | + | 0.335035i | ||||
\(63\) | 2.44667 | + | 1.73603i | 0.308251 | + | 0.218720i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −0.189921 | −0.0235569 | ||||||||
\(66\) | 3.87987 | − | 4.23635i | 0.477578 | − | 0.521458i | ||||
\(67\) | −12.1494 | −1.48428 | −0.742142 | − | 0.670242i | \(-0.766190\pi\) | ||||
−0.742142 | + | 0.670242i | \(0.766190\pi\) | |||||||
\(68\) | −0.379364 | + | 1.16756i | −0.0460047 | + | 0.141588i | ||||
\(69\) | 9.72985 | − | 9.83955i | 1.17134 | − | 1.18454i | ||||
\(70\) | −1.02385 | − | 0.743872i | −0.122374 | − | 0.0889098i | ||||
\(71\) | −5.97482 | + | 1.94134i | −0.709081 | + | 0.230394i | −0.641283 | − | 0.767305i | \(-0.721597\pi\) |
−0.0677982 | + | 0.997699i | \(0.521597\pi\) | |||||||
\(72\) | −1.79046 | − | 2.40713i | −0.211007 | − | 0.283683i | ||||
\(73\) | 6.32399 | − | 8.70422i | 0.740166 | − | 1.01875i | −0.258443 | − | 0.966027i | \(-0.583209\pi\) |
0.998609 | − | 0.0527251i | \(-0.0167907\pi\) | |||||||
\(74\) | −6.04544 | + | 4.39227i | −0.702768 | + | 0.510591i | ||||
\(75\) | −5.81877 | − | 0.888195i | −0.671893 | − | 0.102560i | ||||
\(76\) | − | 4.13820i | − | 0.474684i | ||||||
\(77\) | 0.903399 | − | 3.19122i | 0.102952 | − | 0.363673i | ||||
\(78\) | −0.256497 | + | 0.0421004i | −0.0290426 | + | 0.00476693i | ||||
\(79\) | −10.3548 | − | 3.36448i | −1.16501 | − | 0.378534i | −0.338230 | − | 0.941063i | \(-0.609828\pi\) |
−0.826777 | + | 0.562529i | \(0.809828\pi\) | |||||||
\(80\) | 0.743872 | + | 1.02385i | 0.0831675 | + | 0.114470i | ||||
\(81\) | −8.99774 | + | 0.201791i | −0.999749 | + | 0.0224213i | ||||
\(82\) | −3.01453 | − | 9.27777i | −0.332899 | − | 1.02456i | ||||
\(83\) | −3.01551 | − | 9.28079i | −0.330995 | − | 1.01870i | −0.968661 | − | 0.248386i | \(-0.920100\pi\) |
0.637666 | − | 0.770313i | \(-0.279900\pi\) | |||||||
\(84\) | −1.54765 | − | 0.777671i | −0.168863 | − | 0.0848509i | ||||
\(85\) | −0.913213 | − | 1.25693i | −0.0990519 | − | 0.136333i | ||||
\(86\) | 4.17318 | + | 1.35595i | 0.450005 | + | 0.146216i | ||||
\(87\) | 1.48587 | + | 9.05266i | 0.159302 | + | 0.970547i | ||||
\(88\) | −1.84532 | + | 2.75586i | −0.196712 | + | 0.293776i | ||||
\(89\) | − | 1.07013i | − | 0.113433i | −0.998390 | − | 0.0567166i | \(-0.981937\pi\) | ||
0.998390 | − | 0.0567166i | \(-0.0180632\pi\) | |||||||
\(90\) | 3.79642 | − | 0.0425656i | 0.400177 | − | 0.00448681i | ||||
\(91\) | −0.121409 | + | 0.0882090i | −0.0127271 | + | 0.00924681i | ||||
\(92\) | −4.69599 | + | 6.46348i | −0.489591 | + | 0.673864i | ||||
\(93\) | −6.90654 | + | 3.56796i | −0.716174 | + | 0.369981i | ||||
\(94\) | −2.65807 | + | 0.863658i | −0.274159 | + | 0.0890795i | ||||
\(95\) | 4.23691 | + | 3.07830i | 0.434698 | + | 0.315826i | ||||
\(96\) | 1.23159 | + | 1.21786i | 0.125699 | + | 0.124297i | ||||
\(97\) | −3.06249 | + | 9.42539i | −0.310949 | + | 0.957003i | 0.666441 | + | 0.745558i | \(0.267817\pi\) |
−0.977390 | + | 0.211445i | \(0.932183\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 3.53913 | + | 9.29917i | 0.355696 | + | 0.934602i | ||||
\(100\) | 3.39838 | 0.339838 | ||||||||
\(101\) | −0.471591 | + | 1.45141i | −0.0469250 | + | 0.144420i | −0.971774 | − | 0.235915i | \(-0.924191\pi\) |
0.924849 | + | 0.380335i | \(0.124191\pi\) | |||||||
\(102\) | −1.51196 | − | 1.49510i | −0.149706 | − | 0.148037i | ||||
\(103\) | 3.25945 | + | 2.36813i | 0.321164 | + | 0.233339i | 0.736672 | − | 0.676250i | \(-0.236396\pi\) |
−0.415508 | + | 0.909589i | \(0.636396\pi\) | |||||||
\(104\) | 0.142725 | − | 0.0463742i | 0.0139954 | − | 0.00454737i | ||||
\(105\) | 1.94748 | − | 1.00608i | 0.190054 | − | 0.0981833i | ||||
\(106\) | −3.41402 | + | 4.69899i | −0.331599 | + | 0.456406i | ||||
\(107\) | −2.67801 | + | 1.94569i | −0.258893 | + | 0.188097i | −0.709659 | − | 0.704545i | \(-0.751151\pi\) |
0.450766 | + | 0.892642i | \(0.351151\pi\) | |||||||
\(108\) | 5.11778 | − | 0.899048i | 0.492459 | − | 0.0865109i | ||||
\(109\) | 1.95947i | 0.187683i | 0.995587 | + | 0.0938414i | \(0.0299147\pi\) | ||||
−0.995587 | + | 0.0938414i | \(0.970085\pi\) | |||||||
\(110\) | −1.44891 | − | 3.93935i | −0.138148 | − | 0.375602i | ||||
\(111\) | −2.09634 | − | 12.7720i | −0.198976 | − | 1.21226i | ||||
\(112\) | 0.951057 | + | 0.309017i | 0.0898664 | + | 0.0291994i | ||||
\(113\) | 10.7866 | + | 14.8465i | 1.01472 | + | 1.39664i | 0.915843 | + | 0.401538i | \(0.131524\pi\) |
0.0988740 | + | 0.995100i | \(0.468476\pi\) | |||||||
\(114\) | 6.40450 | + | 3.21816i | 0.599836 | + | 0.301408i | ||||
\(115\) | −3.12443 | − | 9.61601i | −0.291355 | − | 0.896697i | ||||
\(116\) | −1.63671 | − | 5.03726i | −0.151964 | − | 0.467698i | ||||
\(117\) | 0.134313 | − | 0.429708i | 0.0124173 | − | 0.0397265i | ||||
\(118\) | 8.64390 | + | 11.8973i | 0.795735 | + | 1.09524i | ||||
\(119\) | −1.16756 | − | 0.379364i | −0.107030 | − | 0.0347762i | ||||
\(120\) | −2.16306 | + | 0.355035i | −0.197459 | + | 0.0324101i | ||||
\(121\) | 8.37848 | − | 7.12749i | 0.761680 | − | 0.647954i | ||||
\(122\) | 2.53388i | 0.229407i | ||||||||
\(123\) | 16.7031 | + | 2.54961i | 1.50607 | + | 0.229890i | ||||
\(124\) | 3.63099 | − | 2.63807i | 0.326073 | − | 0.236906i | ||||
\(125\) | −6.24732 | + | 8.59870i | −0.558778 | + | 0.769091i | ||||
\(126\) | 2.40713 | − | 1.79046i | 0.214444 | − | 0.159506i | ||||
\(127\) | −9.83031 | + | 3.19406i | −0.872299 | + | 0.283427i | −0.710756 | − | 0.703439i | \(-0.751647\pi\) |
−0.161543 | + | 0.986866i | \(0.551647\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | −5.34389 | + | 5.40414i | −0.470503 | + | 0.475808i | ||||
\(130\) | −0.0586889 | + | 0.180626i | −0.00514736 | + | 0.0158419i | ||||
\(131\) | −3.13040 | −0.273505 | −0.136752 | − | 0.990605i | \(-0.543666\pi\) | ||||
−0.136752 | + | 0.990605i | \(0.543666\pi\) | |||||||
\(132\) | −2.83006 | − | 4.99908i | −0.246325 | − | 0.435114i | ||||
\(133\) | 4.13820 | 0.358828 | ||||||||
\(134\) | −3.75437 | + | 11.5548i | −0.324328 | + | 0.998179i | ||||
\(135\) | −2.88649 | + | 5.90863i | −0.248429 | + | 0.508534i | ||||
\(136\) | 0.993188 | + | 0.721593i | 0.0851652 | + | 0.0618761i | ||||
\(137\) | 0.810649 | − | 0.263396i | 0.0692584 | − | 0.0225034i | −0.274183 | − | 0.961678i | \(-0.588407\pi\) |
0.343441 | + | 0.939174i | \(0.388407\pi\) | |||||||
\(138\) | −6.35128 | − | 12.2942i | −0.540657 | − | 1.04655i | ||||
\(139\) | −4.49572 | + | 6.18783i | −0.381322 | + | 0.524845i | −0.955934 | − | 0.293581i | \(-0.905153\pi\) |
0.574612 | + | 0.818426i | \(0.305153\pi\) | |||||||
\(140\) | −1.02385 | + | 0.743872i | −0.0865313 | + | 0.0628687i | ||||
\(141\) | 0.730459 | − | 4.78540i | 0.0615157 | − | 0.403004i | ||||
\(142\) | 6.28230i | 0.527199i | ||||||||
\(143\) | −0.497361 | + | 0.0190524i | −0.0415914 | + | 0.00159324i | ||||
\(144\) | −2.84260 | + | 0.958981i | −0.236883 | + | 0.0799150i | ||||
\(145\) | 6.37491 | + | 2.07133i | 0.529408 | + | 0.172015i | ||||
\(146\) | −6.32399 | − | 8.70422i | −0.523377 | − | 0.720366i | ||||
\(147\) | 0.777671 | − | 1.54765i | 0.0641412 | − | 0.127648i | ||||
\(148\) | 2.30915 | + | 7.10684i | 0.189811 | + | 0.584179i | ||||
\(149\) | −0.275104 | − | 0.846682i | −0.0225374 | − | 0.0693629i | 0.939155 | − | 0.343493i | \(-0.111610\pi\) |
−0.961693 | + | 0.274130i | \(0.911610\pi\) | |||||||
\(150\) | −2.64282 | + | 5.25951i | −0.215785 | + | 0.429437i | ||||
\(151\) | 8.56766 | + | 11.7924i | 0.697227 | + | 0.959650i | 0.999978 | + | 0.00658065i | \(0.00209470\pi\) |
−0.302752 | + | 0.953069i | \(0.597905\pi\) | |||||||
\(152\) | −3.93566 | − | 1.27878i | −0.319225 | − | 0.103722i | ||||
\(153\) | 3.48971 | − | 1.17729i | 0.282126 | − | 0.0951783i | ||||
\(154\) | −2.75586 | − | 1.84532i | −0.222074 | − | 0.148700i | ||||
\(155\) | 5.67999i | 0.456228i | ||||||||
\(156\) | −0.0392221 | + | 0.256953i | −0.00314028 | + | 0.0205727i | ||||
\(157\) | 17.4409 | − | 12.6716i | 1.39194 | − | 1.01130i | 0.396290 | − | 0.918126i | \(-0.370298\pi\) |
0.995650 | − | 0.0931775i | \(-0.0297024\pi\) | |||||||
\(158\) | −6.39963 | + | 8.80833i | −0.509127 | + | 0.700753i | ||||
\(159\) | −4.61742 | − | 8.93798i | −0.366185 | − | 0.708828i | ||||
\(160\) | 1.20361 | − | 0.391077i | 0.0951538 | − | 0.0309173i | ||||
\(161\) | −6.46348 | − | 4.69599i | −0.509394 | − | 0.370096i | ||||
\(162\) | −2.58854 | + | 8.61971i | −0.203375 | + | 0.677229i | ||||
\(163\) | −2.92839 | + | 9.01266i | −0.229369 | + | 0.705926i | 0.768449 | + | 0.639911i | \(0.221029\pi\) |
−0.997819 | + | 0.0660154i | \(0.978971\pi\) | |||||||
\(164\) | −9.75522 | −0.761755 | ||||||||
\(165\) | 7.22352 | + | 0.821108i | 0.562350 | + | 0.0639232i | ||||
\(166\) | −9.75840 | −0.757399 | ||||||||
\(167\) | 3.49984 | − | 10.7714i | 0.270826 | − | 0.833517i | −0.719468 | − | 0.694526i | \(-0.755614\pi\) |
0.990294 | − | 0.138991i | \(-0.0443859\pi\) | |||||||
\(168\) | −1.21786 | + | 1.23159i | −0.0939599 | + | 0.0950193i | ||||
\(169\) | −10.4990 | − | 7.62797i | −0.807615 | − | 0.586767i | ||||
\(170\) | −1.47761 | + | 0.480105i | −0.113328 | + | 0.0368224i | ||||
\(171\) | −9.96119 | + | 7.40927i | −0.761751 | + | 0.566601i | ||||
\(172\) | 2.57916 | − | 3.54991i | 0.196659 | − | 0.270678i | ||||
\(173\) | 13.8568 | − | 10.0675i | 1.05351 | − | 0.765420i | 0.0806333 | − | 0.996744i | \(-0.474306\pi\) |
0.972877 | + | 0.231324i | \(0.0743057\pi\) | |||||||
\(174\) | 9.06875 | + | 1.38428i | 0.687500 | + | 0.104942i | ||||
\(175\) | 3.39838i | 0.256893i | ||||||||
\(176\) | 2.05074 | + | 2.60662i | 0.154581 | + | 0.196481i | ||||
\(177\) | −25.1350 | + | 4.12556i | −1.88926 | + | 0.310096i | ||||
\(178\) | −1.01775 | − | 0.330687i | −0.0762837 | − | 0.0247861i | ||||
\(179\) | −0.221144 | − | 0.304378i | −0.0165291 | − | 0.0227503i | 0.800672 | − | 0.599102i | \(-0.204476\pi\) |
−0.817202 | + | 0.576352i | \(0.804476\pi\) | |||||||
\(180\) | 1.13267 | − | 3.62376i | 0.0844246 | − | 0.270099i | ||||
\(181\) | −5.34329 | − | 16.4450i | −0.397163 | − | 1.22234i | −0.927264 | − | 0.374409i | \(-0.877846\pi\) |
0.530100 | − | 0.847935i | \(-0.322154\pi\) | |||||||
\(182\) | 0.0463742 | + | 0.142725i | 0.00343749 | + | 0.0105795i | ||||
\(183\) | −3.92157 | − | 1.97053i | −0.289891 | − | 0.145666i | ||||
\(184\) | 4.69599 | + | 6.46348i | 0.346193 | + | 0.476494i | ||||
\(185\) | −8.99407 | − | 2.92235i | −0.661257 | − | 0.214856i | ||||
\(186\) | 1.25910 | + | 7.67107i | 0.0923216 | + | 0.562470i | ||||
\(187\) | −2.51759 | − | 3.20001i | −0.184105 | − | 0.234008i | ||||
\(188\) | 2.79486i | 0.203836i | ||||||||
\(189\) | 0.899048 | + | 5.11778i | 0.0653961 | + | 0.372264i | ||||
\(190\) | 4.23691 | − | 3.07830i | 0.307378 | − | 0.223323i | ||||
\(191\) | 6.77637 | − | 9.32688i | 0.490321 | − | 0.674869i | −0.490126 | − | 0.871652i | \(-0.663049\pi\) |
0.980447 | + | 0.196782i | \(0.0630492\pi\) | |||||||
\(192\) | 1.53884 | − | 0.794973i | 0.111056 | − | 0.0573723i | ||||
\(193\) | −10.3428 | + | 3.36058i | −0.744492 | + | 0.241900i | −0.656609 | − | 0.754231i | \(-0.728010\pi\) |
−0.0878823 | + | 0.996131i | \(0.528010\pi\) | |||||||
\(194\) | 8.01771 | + | 5.82521i | 0.575638 | + | 0.418226i | ||||
\(195\) | −0.233906 | − | 0.231298i | −0.0167503 | − | 0.0165636i | ||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | 9.73907 | 0.693880 | 0.346940 | − | 0.937887i | \(-0.387221\pi\) | ||||
0.346940 | + | 0.937887i | \(0.387221\pi\) | |||||||
\(198\) | 9.93769 | − | 0.492315i | 0.706241 | − | 0.0349873i | ||||
\(199\) | 19.1382 | 1.35667 | 0.678337 | − | 0.734751i | \(-0.262701\pi\) | ||||
0.678337 | + | 0.734751i | \(0.262701\pi\) | |||||||
\(200\) | 1.05016 | − | 3.23205i | 0.0742573 | − | 0.228541i | ||||
\(201\) | −14.9631 | − | 14.7963i | −1.05541 | − | 1.04365i | ||||
\(202\) | 1.23464 | + | 0.897019i | 0.0868690 | + | 0.0631141i | ||||
\(203\) | 5.03726 | − | 1.63671i | 0.353546 | − | 0.114874i | ||||
\(204\) | −1.88915 | + | 0.975947i | −0.132267 | + | 0.0683300i | ||||
\(205\) | 7.25664 | − | 9.98791i | 0.506826 | − | 0.697586i | ||||
\(206\) | 3.25945 | − | 2.36813i | 0.227097 | − | 0.164996i | ||||
\(207\) | 23.9664 | − | 0.268712i | 1.66578 | − | 0.0186768i | ||||
\(208\) | − | 0.150070i | − | 0.0104055i | ||||||
\(209\) | 11.4043 | + | 7.63633i | 0.788853 | + | 0.528216i | ||||
\(210\) | −0.355035 | − | 2.16306i | −0.0244998 | − | 0.149265i | ||||
\(211\) | −0.412712 | − | 0.134098i | −0.0284122 | − | 0.00923169i | 0.294776 | − | 0.955566i | \(-0.404755\pi\) |
−0.323189 | + | 0.946335i | \(0.604755\pi\) | |||||||
\(212\) | 3.41402 | + | 4.69899i | 0.234476 | + | 0.322728i | ||||
\(213\) | −9.72281 | − | 4.88556i | −0.666196 | − | 0.334753i | ||||
\(214\) | 1.02291 | + | 3.14819i | 0.0699246 | + | 0.215206i | ||||
\(215\) | 1.71602 | + | 5.28137i | 0.117032 | + | 0.360186i | ||||
\(216\) | 0.726437 | − | 5.14512i | 0.0494278 | − | 0.350081i | ||||
\(217\) | 2.63807 | + | 3.63099i | 0.179084 | + | 0.246488i | ||||
\(218\) | 1.86356 | + | 0.605508i | 0.126216 | + | 0.0410102i | ||||
\(219\) | 18.3891 | − | 3.01831i | 1.24262 | − | 0.203959i | ||||
\(220\) | −4.19428 | + | 0.160670i | −0.282778 | + | 0.0108324i | ||||
\(221\) | 0.184233i | 0.0123929i | ||||||||
\(222\) | −12.7947 | − | 1.95302i | −0.858723 | − | 0.131078i | ||||
\(223\) | −14.7261 | + | 10.6992i | −0.986136 | + | 0.716470i | −0.959071 | − | 0.283164i | \(-0.908616\pi\) |
−0.0270643 | + | 0.999634i | \(0.508616\pi\) | |||||||
\(224\) | 0.587785 | − | 0.809017i | 0.0392731 | − | 0.0540547i | ||||
\(225\) | −6.08465 | − | 8.18034i | −0.405643 | − | 0.545356i | ||||
\(226\) | 17.4531 | − | 5.67084i | 1.16096 | − | 0.377219i | ||||
\(227\) | 15.9273 | + | 11.5718i | 1.05713 | + | 0.768049i | 0.973555 | − | 0.228453i | \(-0.0733666\pi\) |
0.0835737 | + | 0.996502i | \(0.473367\pi\) | |||||||
\(228\) | 5.03975 | − | 5.09657i | 0.333766 | − | 0.337529i | ||||
\(229\) | 3.02746 | − | 9.31756i | 0.200060 | − | 0.615722i | −0.799820 | − | 0.600240i | \(-0.795072\pi\) |
0.999880 | − | 0.0154820i | \(-0.00492827\pi\) | |||||||
\(230\) | −10.1109 | −0.666691 | ||||||||
\(231\) | 4.99908 | − | 2.83006i | 0.328915 | − | 0.186204i | ||||
\(232\) | −5.29649 | −0.347732 | ||||||||
\(233\) | 9.31781 | − | 28.6773i | 0.610430 | − | 1.87871i | 0.156485 | − | 0.987680i | \(-0.449984\pi\) |
0.453945 | − | 0.891030i | \(-0.350016\pi\) | |||||||
\(234\) | −0.367172 | − | 0.260527i | −0.0240028 | − | 0.0170312i | ||||
\(235\) | −2.86152 | − | 2.07902i | −0.186665 | − | 0.135620i | ||||
\(236\) | 13.9861 | − | 4.54436i | 0.910419 | − | 0.295813i | ||||
\(237\) | −8.65543 | − | 16.7544i | −0.562231 | − | 1.08831i | ||||
\(238\) | −0.721593 | + | 0.993188i | −0.0467739 | + | 0.0643788i | ||||
\(239\) | −2.40266 | + | 1.74564i | −0.155415 | + | 0.112916i | −0.662775 | − | 0.748818i | \(-0.730621\pi\) |
0.507360 | + | 0.861734i | \(0.330621\pi\) | |||||||
\(240\) | −0.330762 | + | 2.16690i | −0.0213506 | + | 0.139873i | ||||
\(241\) | 4.21213i | 0.271327i | 0.990755 | + | 0.135664i | \(0.0433166\pi\) | ||||
−0.990755 | + | 0.135664i | \(0.956683\pi\) | |||||||
\(242\) | −4.18956 | − | 10.1709i | −0.269315 | − | 0.653812i | ||||
\(243\) | −11.3273 | − | 10.7095i | −0.726646 | − | 0.687012i | ||||
\(244\) | 2.40987 | + | 0.783013i | 0.154276 | + | 0.0501273i | ||||
\(245\) | −0.743872 | − | 1.02385i | −0.0475243 | − | 0.0654115i | ||||
\(246\) | 7.58635 | − | 15.0977i | 0.483688 | − | 0.962594i | ||||
\(247\) | −0.191906 | − | 0.590626i | −0.0122107 | − | 0.0375806i | ||||
\(248\) | −1.38692 | − | 4.26849i | −0.0880693 | − | 0.271049i | ||||
\(249\) | 7.58882 | − | 15.1026i | 0.480922 | − | 0.957089i | ||||
\(250\) | 6.24732 | + | 8.59870i | 0.395115 | + | 0.543830i | ||||
\(251\) | 9.73610 | + | 3.16345i | 0.614537 | + | 0.199675i | 0.599713 | − | 0.800215i | \(-0.295281\pi\) |
0.0148239 | + | 0.999890i | \(0.495281\pi\) | |||||||
\(252\) | −0.958981 | − | 2.84260i | −0.0604101 | − | 0.179067i | ||||
\(253\) | −9.14683 | − | 24.8687i | −0.575056 | − | 1.56348i | ||||
\(254\) | 10.3362i | 0.648551i | ||||||||
\(255\) | 0.406060 | − | 2.66019i | 0.0254284 | − | 0.166588i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 16.0700 | − | 22.1184i | 1.00242 | − | 1.37971i | 0.0785877 | − | 0.996907i | \(-0.474959\pi\) |
0.923830 | − | 0.382803i | \(-0.125041\pi\) | |||||||
\(258\) | 3.48829 | + | 6.75232i | 0.217172 | + | 0.420381i | ||||
\(259\) | −7.10684 | + | 2.30915i | −0.441598 | + | 0.143484i | ||||
\(260\) | 0.153650 | + | 0.111633i | 0.00952895 | + | 0.00692319i | ||||
\(261\) | −9.19489 | + | 12.9588i | −0.569149 | + | 0.802127i | ||||
\(262\) | −0.967348 | + | 2.97719i | −0.0597630 | + | 0.183932i | ||||
\(263\) | −19.8950 | −1.22678 | −0.613391 | − | 0.789780i | \(-0.710195\pi\) | ||||
−0.613391 | + | 0.789780i | \(0.710195\pi\) | |||||||
\(264\) | −5.62894 | + | 1.14675i | −0.346437 | + | 0.0705775i | ||||
\(265\) | −7.35067 | −0.451548 | ||||||||
\(266\) | 1.27878 | − | 3.93566i | 0.0784067 | − | 0.241311i | ||||
\(267\) | 1.30326 | − | 1.31796i | 0.0797585 | − | 0.0806578i | ||||
\(268\) | 9.82907 | + | 7.14124i | 0.600406 | + | 0.436220i | ||||
\(269\) | 0.602463 | − | 0.195752i | 0.0367328 | − | 0.0119352i | −0.290593 | − | 0.956847i | \(-0.593853\pi\) |
0.327326 | + | 0.944912i | \(0.393853\pi\) | |||||||
\(270\) | 4.72747 | + | 4.57108i | 0.287705 | + | 0.278187i | ||||
\(271\) | 15.4216 | − | 21.2260i | 0.936796 | − | 1.28939i | −0.0203534 | − | 0.999793i | \(-0.506479\pi\) |
0.957149 | − | 0.289596i | \(-0.0935209\pi\) | |||||||
\(272\) | 0.993188 | − | 0.721593i | 0.0602209 | − | 0.0437530i | ||||
\(273\) | −0.256953 | − | 0.0392221i | −0.0155515 | − | 0.00237383i | ||||
\(274\) | − | 0.852366i | − | 0.0514933i | ||||||
\(275\) | −6.27111 | + | 9.36547i | −0.378162 | + | 0.564759i | ||||
\(276\) | −13.6552 | + | 2.24130i | −0.821944 | + | 0.134911i | ||||
\(277\) | 26.8393 | + | 8.72062i | 1.61262 | + | 0.523971i | 0.970184 | − | 0.242371i | \(-0.0779250\pi\) |
0.642433 | + | 0.766342i | \(0.277925\pi\) | |||||||
\(278\) | 4.49572 | + | 6.18783i | 0.269635 | + | 0.371121i | ||||
\(279\) | −12.8513 | − | 4.01692i | −0.769388 | − | 0.240487i | ||||
\(280\) | 0.391077 | + | 1.20361i | 0.0233713 | + | 0.0719295i | ||||
\(281\) | 1.44118 | + | 4.43549i | 0.0859735 | + | 0.264599i | 0.984796 | − | 0.173713i | \(-0.0555765\pi\) |
−0.898823 | + | 0.438312i | \(0.855576\pi\) | |||||||
\(282\) | −4.32547 | − | 2.17348i | −0.257578 | − | 0.129429i | ||||
\(283\) | 14.3709 | + | 19.7799i | 0.854263 | + | 1.17579i | 0.982907 | + | 0.184101i | \(0.0589375\pi\) |
−0.128644 | + | 0.991691i | \(0.541063\pi\) | |||||||
\(284\) | 5.97482 | + | 1.94134i | 0.354540 | + | 0.115197i | ||||
\(285\) | 1.46921 | + | 8.95116i | 0.0870284 | + | 0.530221i | ||||
\(286\) | −0.135573 | + | 0.478906i | −0.00801661 | + | 0.0283183i | ||||
\(287\) | − | 9.75522i | − | 0.575833i | ||||||
\(288\) | 0.0336340 | + | 2.99981i | 0.00198190 | + | 0.176766i | ||||
\(289\) | 12.5340 | − | 9.10649i | 0.737294 | − | 0.535676i | ||||
\(290\) | 3.93991 | − | 5.42282i | 0.231360 | − | 0.318439i | ||||
\(291\) | −15.2505 | + | 7.87854i | −0.894003 | + | 0.461848i | ||||
\(292\) | −10.2324 | + | 3.32472i | −0.598807 | + | 0.194564i | ||||
\(293\) | 5.76112 | + | 4.18570i | 0.336568 | + | 0.244531i | 0.743212 | − | 0.669056i | \(-0.233301\pi\) |
−0.406644 | + | 0.913587i | \(0.633301\pi\) | |||||||
\(294\) | −1.23159 | − | 1.21786i | −0.0718279 | − | 0.0710270i | ||||
\(295\) | −5.75113 | + | 17.7001i | −0.334844 | + | 1.03054i | ||||
\(296\) | 7.47257 | 0.434335 | ||||||||
\(297\) | −6.96632 | + | 15.7629i | −0.404227 | + | 0.914659i | ||||
\(298\) | −0.890254 | −0.0515711 | ||||||||
\(299\) | −0.370497 | + | 1.14027i | −0.0214264 | + | 0.0659437i | ||||
\(300\) | 4.18541 | + | 4.13875i | 0.241645 | + | 0.238951i | ||||
\(301\) | 3.54991 | + | 2.57916i | 0.204614 | + | 0.148661i | ||||
\(302\) | 13.8628 | − | 4.50429i | 0.797713 | − | 0.259193i | ||||
\(303\) | −2.34842 | + | 1.21321i | −0.134913 | + | 0.0696970i | ||||
\(304\) | −2.43237 | + | 3.34788i | −0.139506 | + | 0.192014i | ||||
\(305\) | −2.59432 | + | 1.88489i | −0.148551 | + | 0.107928i | ||||
\(306\) | −0.0412907 | − | 3.68271i | −0.00236043 | − | 0.210527i | ||||
\(307\) | − | 25.5876i | − | 1.46036i | −0.683253 | − | 0.730181i | \(-0.739436\pi\) | ||
0.683253 | − | 0.730181i | \(-0.260564\pi\) | |||||||
\(308\) | −2.60662 | + | 2.05074i | −0.148526 | + | 0.116852i | ||||
\(309\) | 1.13026 | + | 6.88613i | 0.0642984 | + | 0.391738i | ||||
\(310\) | 5.40199 | + | 1.75521i | 0.306813 | + | 0.0996894i | ||||
\(311\) | 3.00067 | + | 4.13007i | 0.170152 | + | 0.234195i | 0.885574 | − | 0.464498i | \(-0.153765\pi\) |
−0.715422 | + | 0.698693i | \(0.753765\pi\) | |||||||
\(312\) | 0.232256 | + | 0.116705i | 0.0131489 | + | 0.00660713i | ||||
\(313\) | 4.99132 | + | 15.3617i | 0.282126 | + | 0.868294i | 0.987245 | + | 0.159206i | \(0.0508933\pi\) |
−0.705120 | + | 0.709088i | \(0.749107\pi\) | |||||||
\(314\) | −6.66185 | − | 20.5031i | −0.375950 | − | 1.15705i | ||||
\(315\) | 3.62376 | + | 1.13267i | 0.204176 | + | 0.0638190i | ||||
\(316\) | 6.39963 | + | 8.80833i | 0.360007 | + | 0.495507i | ||||
\(317\) | −16.0129 | − | 5.20290i | −0.899372 | − | 0.292224i | −0.177394 | − | 0.984140i | \(-0.556767\pi\) |
−0.721978 | + | 0.691916i | \(0.756767\pi\) | |||||||
\(318\) | −9.92739 | + | 1.62944i | −0.556700 | + | 0.0913745i | ||||
\(319\) | 16.9022 | + | 4.78485i | 0.946344 | + | 0.267900i | ||||
\(320\) | − | 1.26555i | − | 0.0707465i | ||||||
\(321\) | −5.66779 | − | 0.865148i | −0.316345 | − | 0.0482879i | ||||
\(322\) | −6.46348 | + | 4.69599i | −0.360196 | + | 0.261697i | ||||
\(323\) | 2.98610 | − | 4.11001i | 0.166151 | − | 0.228687i | ||||
\(324\) | 7.39793 | + | 5.12548i | 0.410996 | + | 0.284749i | ||||
\(325\) | 0.485034 | − | 0.157597i | 0.0269049 | − | 0.00874192i | ||||
\(326\) | 7.66663 | + | 5.57013i | 0.424615 | + | 0.308501i | ||||
\(327\) | −2.38636 | + | 2.41326i | −0.131966 | + | 0.133454i | ||||
\(328\) | −3.01453 | + | 9.27777i | −0.166450 | + | 0.512279i | ||||
\(329\) | −2.79486 | −0.154085 | ||||||||
\(330\) | 3.01311 | − | 6.61624i | 0.165866 | − | 0.364212i | ||||
\(331\) | −5.03168 | −0.276566 | −0.138283 | − | 0.990393i | \(-0.544158\pi\) | ||||
−0.138283 | + | 0.990393i | \(0.544158\pi\) | |||||||
\(332\) | −3.01551 | + | 9.28079i | −0.165498 | + | 0.509349i | ||||
\(333\) | 12.9726 | − | 18.2829i | 0.710897 | − | 1.00190i | ||||
\(334\) | −9.16271 | − | 6.65710i | −0.501361 | − | 0.364260i | ||||
\(335\) | −14.6231 | + | 4.75135i | −0.798948 | + | 0.259594i | ||||
\(336\) | 0.794973 | + | 1.53884i | 0.0433694 | + | 0.0839504i | ||||
\(337\) | −13.2501 | + | 18.2372i | −0.721779 | + | 0.993444i | 0.277684 | + | 0.960673i | \(0.410433\pi\) |
−0.999463 | + | 0.0327711i | \(0.989567\pi\) | |||||||
\(338\) | −10.4990 | + | 7.62797i | −0.571070 | + | 0.414907i | ||||
\(339\) | −4.79625 | + | 31.4213i | −0.260496 | + | 1.70657i | ||||
\(340\) | 1.55365i | 0.0842586i | ||||||||
\(341\) | 0.569800 | + | 14.8746i | 0.0308564 | + | 0.805506i | ||||
\(342\) | 3.96846 | + | 11.7632i | 0.214590 | + | 0.636083i | ||||
\(343\) | −0.951057 | − | 0.309017i | −0.0513522 | − | 0.0166853i | ||||
\(344\) | −2.57916 | − | 3.54991i | −0.139059 | − | 0.191399i | ||||
\(345\) | 7.86293 | − | 15.6481i | 0.423326 | − | 0.842466i | ||||
\(346\) | −5.29281 | − | 16.2896i | −0.284543 | − | 0.875734i | ||||
\(347\) | 6.29845 | + | 19.3846i | 0.338119 | + | 1.04062i | 0.965165 | + | 0.261641i | \(0.0842636\pi\) |
−0.627047 | + | 0.778982i | \(0.715736\pi\) | |||||||
\(348\) | 4.11893 | − | 8.19712i | 0.220798 | − | 0.439412i | ||||
\(349\) | 12.7756 | + | 17.5842i | 0.683864 | + | 0.941259i | 0.999972 | − | 0.00746472i | \(-0.00237612\pi\) |
−0.316108 | + | 0.948723i | \(0.602376\pi\) | |||||||
\(350\) | 3.23205 | + | 1.05016i | 0.172760 | + | 0.0561333i | ||||
\(351\) | 0.688744 | − | 0.365650i | 0.0367624 | − | 0.0195169i | ||||
\(352\) | 3.11275 | − | 1.14489i | 0.165910 | − | 0.0610226i | ||||
\(353\) | − | 12.1839i | − | 0.648486i | −0.945974 | − | 0.324243i | \(-0.894890\pi\) | ||
0.945974 | − | 0.324243i | \(-0.105110\pi\) | |||||||
\(354\) | −3.84350 | + | 25.1797i | −0.204280 | + | 1.33828i | ||||
\(355\) | −6.43215 | + | 4.67323i | −0.341383 | + | 0.248029i | ||||
\(356\) | −0.629005 | + | 0.865751i | −0.0333372 | + | 0.0458847i | ||||
\(357\) | −0.975947 | − | 1.88915i | −0.0516526 | − | 0.0999844i | ||||
\(358\) | −0.357818 | + | 0.116262i | −0.0189113 | + | 0.00614465i | ||||
\(359\) | −21.3205 | − | 15.4903i | −1.12526 | − | 0.817546i | −0.140258 | − | 0.990115i | \(-0.544793\pi\) |
−0.984997 | + | 0.172569i | \(0.944793\pi\) | |||||||
\(360\) | −3.09638 | − | 2.19704i | −0.163194 | − | 0.115794i | ||||
\(361\) | 0.579492 | − | 1.78349i | 0.0304996 | − | 0.0938681i | ||||
\(362\) | −17.2912 | −0.908808 | ||||||||
\(363\) | 18.9991 | + | 1.42566i | 0.997196 | + | 0.0748275i | ||||
\(364\) | 0.150070 | 0.00786581 | ||||||||
\(365\) | 4.20760 | − | 12.9497i | 0.220236 | − | 0.677816i | ||||
\(366\) | −3.08592 | + | 3.12071i | −0.161303 | + | 0.163122i | ||||
\(367\) | 14.4897 | + | 10.5274i | 0.756357 | + | 0.549525i | 0.897791 | − | 0.440422i | \(-0.145171\pi\) |
−0.141434 | + | 0.989948i | \(0.545171\pi\) | |||||||
\(368\) | 7.59828 | − | 2.46883i | 0.396088 | − | 0.128697i | ||||
\(369\) | 17.4663 | + | 23.4821i | 0.909259 | + | 1.22243i | ||||
\(370\) | −5.55864 | + | 7.65081i | −0.288980 | + | 0.397747i | ||||
\(371\) | −4.69899 | + | 3.41402i | −0.243959 | + | 0.177247i | ||||
\(372\) | 7.68470 | + | 1.17302i | 0.398433 | + | 0.0608181i | ||||
\(373\) | 11.2227i | 0.581089i | 0.956862 | + | 0.290544i | \(0.0938364\pi\) | ||||
−0.956862 | + | 0.290544i | \(0.906164\pi\) | |||||||
\(374\) | −3.82137 | + | 1.40552i | −0.197598 | + | 0.0726775i | ||||
\(375\) | −18.1662 | + | 2.98172i | −0.938097 | + | 0.153975i | ||||
\(376\) | 2.65807 | + | 0.863658i | 0.137079 | + | 0.0445398i | ||||
\(377\) | −0.467198 | − | 0.643043i | −0.0240619 | − | 0.0331184i | ||||
\(378\) | 5.14512 | + | 0.726437i | 0.264637 | + | 0.0373639i | ||||
\(379\) | 5.42840 | + | 16.7069i | 0.278838 | + | 0.858176i | 0.988178 | + | 0.153310i | \(0.0489932\pi\) |
−0.709340 | + | 0.704867i | \(0.751007\pi\) | |||||||
\(380\) | −1.61836 | − | 4.98079i | −0.0830199 | − | 0.255509i | ||||
\(381\) | −15.9968 | − | 8.03816i | −0.819543 | − | 0.411808i | ||||
\(382\) | −6.77637 | − | 9.32688i | −0.346709 | − | 0.477205i | ||||
\(383\) | −23.9018 | − | 7.76617i | −1.22133 | − | 0.396833i | −0.373761 | − | 0.927525i | \(-0.621932\pi\) |
−0.847565 | + | 0.530692i | \(0.821932\pi\) | |||||||
\(384\) | −0.280538 | − | 1.70918i | −0.0143162 | − | 0.0872213i | ||||
\(385\) | −0.160670 | − | 4.19428i | −0.00818850 | − | 0.213760i | ||||
\(386\) | 10.8751i | 0.553527i | ||||||||
\(387\) | −13.1630 | + | 0.147584i | −0.669112 | + | 0.00750211i | ||||
\(388\) | 8.01771 | − | 5.82521i | 0.407038 | − | 0.295730i | ||||
\(389\) | −6.53645 | + | 8.99665i | −0.331411 | + | 0.456148i | −0.941908 | − | 0.335870i | \(-0.890970\pi\) |
0.610497 | + | 0.792018i | \(0.290970\pi\) | |||||||
\(390\) | −0.292258 | + | 0.150982i | −0.0147991 | + | 0.00764530i | ||||
\(391\) | −9.32801 | + | 3.03085i | −0.471738 | + | 0.153277i | ||||
\(392\) | 0.809017 | + | 0.587785i | 0.0408615 | + | 0.0296876i | ||||
\(393\) | −3.85538 | − | 3.81239i | −0.194478 | − | 0.192310i | ||||
\(394\) | 3.00954 | − | 9.26241i | 0.151618 | − | 0.466633i | ||||
\(395\) | −13.7789 | −0.693294 | ||||||||
\(396\) | 2.60269 | − | 9.60344i | 0.130790 | − | 0.482591i | ||||
\(397\) | 22.4138 | 1.12492 | 0.562459 | − | 0.826825i | \(-0.309855\pi\) | ||||
0.562459 | + | 0.826825i | \(0.309855\pi\) | |||||||
\(398\) | 5.91404 | − | 18.2015i | 0.296444 | − | 0.912361i | ||||
\(399\) | 5.09657 | + | 5.03975i | 0.255148 | + | 0.252303i | ||||
\(400\) | −2.74935 | − | 1.99752i | −0.137467 | − | 0.0998759i | ||||
\(401\) | −5.07008 | + | 1.64737i | −0.253188 | + | 0.0822656i | −0.432861 | − | 0.901461i | \(-0.642496\pi\) |
0.179673 | + | 0.983726i | \(0.442496\pi\) | |||||||
\(402\) | −18.6959 | + | 9.65845i | −0.932468 | + | 0.481720i | ||||
\(403\) | 0.395896 | − | 0.544904i | 0.0197210 | − | 0.0271436i | ||||
\(404\) | 1.23464 | − | 0.897019i | 0.0614257 | − | 0.0446284i | ||||
\(405\) | −10.7509 | + | 3.76169i | −0.534214 | + | 0.186920i | ||||
\(406\) | − | 5.29649i | − | 0.262860i | ||||||
\(407\) | −23.8466 | − | 6.75072i | −1.18203 | − | 0.334621i | ||||
\(408\) | 0.344402 | + | 2.09827i | 0.0170504 | + | 0.103880i | ||||
\(409\) | −15.3374 | − | 4.98341i | −0.758384 | − | 0.246414i | −0.0957990 | − | 0.995401i | \(-0.530541\pi\) |
−0.662585 | + | 0.748987i | \(0.730541\pi\) | |||||||
\(410\) | −7.25664 | − | 9.98791i | −0.358380 | − | 0.493268i | ||||
\(411\) | 1.31917 | + | 0.662861i | 0.0650697 | + | 0.0326965i | ||||
\(412\) | −1.24500 | − | 3.83172i | −0.0613368 | − | 0.188775i | ||||
\(413\) | 4.54436 | + | 13.9861i | 0.223614 | + | 0.688212i | ||||
\(414\) | 7.15046 | − | 22.8764i | 0.351426 | − | 1.12432i | ||||
\(415\) | −7.25900 | − | 9.99116i | −0.356330 | − | 0.490447i | ||||
\(416\) | −0.142725 | − | 0.0463742i | −0.00699768 | − | 0.00227368i | ||||
\(417\) | −13.0728 | + | 2.14572i | −0.640177 | + | 0.105076i | ||||
\(418\) | 10.7867 | − | 8.48640i | 0.527595 | − | 0.415083i | ||||
\(419\) | 18.7529i | 0.916137i | 0.888917 | + | 0.458069i | \(0.151459\pi\) | ||||
−0.888917 | + | 0.458069i | \(0.848541\pi\) | |||||||
\(420\) | −2.16690 | − | 0.330762i | −0.105734 | − | 0.0161395i | ||||
\(421\) | 6.14224 | − | 4.46260i | 0.299355 | − | 0.217494i | −0.427961 | − | 0.903797i | \(-0.640768\pi\) |
0.727315 | + | 0.686304i | \(0.240768\pi\) | |||||||
\(422\) | −0.255070 | + | 0.351073i | −0.0124166 | + | 0.0170900i | ||||
\(423\) | 6.72758 | − | 5.00407i | 0.327106 | − | 0.243306i | ||||
\(424\) | 5.52399 | − | 1.79485i | 0.268269 | − | 0.0871659i | ||||
\(425\) | 3.37523 | + | 2.45225i | 0.163723 | + | 0.118952i | ||||
\(426\) | −7.65096 | + | 7.73722i | −0.370690 | + | 0.374870i | ||||
\(427\) | −0.783013 | + | 2.40987i | −0.0378927 | + | 0.116622i | ||||
\(428\) | 3.31020 | 0.160005 | ||||||||
\(429\) | −0.635749 | − | 0.582252i | −0.0306943 | − | 0.0281114i | ||||
\(430\) | 5.55316 | 0.267797 | ||||||||
\(431\) | 7.03075 | − | 21.6384i | 0.338659 | − | 1.04229i | −0.626232 | − | 0.779637i | \(-0.715404\pi\) |
0.964891 | − | 0.262649i | \(-0.0845963\pi\) | |||||||
\(432\) | −4.66882 | − | 2.28081i | −0.224629 | − | 0.109736i | ||||
\(433\) | 8.15913 | + | 5.92796i | 0.392103 | + | 0.284879i | 0.766317 | − | 0.642463i | \(-0.222087\pi\) |
−0.374214 | + | 0.927342i | \(0.622087\pi\) | |||||||
\(434\) | 4.26849 | − | 1.38692i | 0.204894 | − | 0.0665741i | ||||
\(435\) | 5.32869 | + | 10.3148i | 0.255491 | + | 0.494556i | ||||
\(436\) | 1.15175 | − | 1.58524i | 0.0551586 | − | 0.0759193i | ||||
\(437\) | 26.7472 | − | 19.4330i | 1.27949 | − | 0.929605i | ||||
\(438\) | 2.81196 | − | 18.4218i | 0.134360 | − | 0.880226i | ||||
\(439\) | − | 2.63248i | − | 0.125641i | −0.998025 | − | 0.0628206i | \(-0.979990\pi\) | ||
0.998025 | − | 0.0628206i | \(-0.0200096\pi\) | |||||||
\(440\) | −1.14330 | + | 4.03865i | −0.0545046 | + | 0.192535i | ||||
\(441\) | 2.84260 | − | 0.958981i | 0.135362 | − | 0.0456657i | ||||
\(442\) | 0.175216 | + | 0.0569312i | 0.00833419 | + | 0.00270794i | ||||
\(443\) | 11.9073 | + | 16.3890i | 0.565733 | + | 0.778665i | 0.992041 | − | 0.125913i | \(-0.0401861\pi\) |
−0.426308 | + | 0.904578i | \(0.640186\pi\) | |||||||
\(444\) | −5.81120 | + | 11.5649i | −0.275788 | + | 0.548848i | ||||
\(445\) | −0.418502 | − | 1.28802i | −0.0198389 | − | 0.0610578i | ||||
\(446\) | 5.62489 | + | 17.3116i | 0.266346 | + | 0.819729i | ||||
\(447\) | 0.692325 | − | 1.37780i | 0.0327459 | − | 0.0651679i | ||||
\(448\) | −0.587785 | − | 0.809017i | −0.0277702 | − | 0.0382225i | ||||
\(449\) | −24.5056 | − | 7.96236i | −1.15649 | − | 0.375767i | −0.332907 | − | 0.942960i | \(-0.608030\pi\) |
−0.823585 | + | 0.567193i | \(0.808030\pi\) | |||||||
\(450\) | −9.66022 | + | 3.25898i | −0.455387 | + | 0.153630i | ||||
\(451\) | 18.0015 | − | 26.8840i | 0.847660 | − | 1.26592i | ||||
\(452\) | − | 18.3512i | − | 0.863169i | ||||||
\(453\) | −3.80961 | + | 24.9576i | −0.178991 | + | 1.17261i | ||||
\(454\) | 15.9273 | − | 11.5718i | 0.747503 | − | 0.543093i | ||||
\(455\) | −0.111633 | + | 0.153650i | −0.00523344 | + | 0.00720321i | ||||
\(456\) | −3.28976 | − | 6.36802i | −0.154057 | − | 0.298210i | ||||
\(457\) | −22.5834 | + | 7.33780i | −1.05641 | + | 0.343248i | −0.785180 | − | 0.619268i | \(-0.787430\pi\) |
−0.271228 | + | 0.962515i | \(0.587430\pi\) | |||||||
\(458\) | −7.92599 | − | 5.75857i | −0.370357 | − | 0.269080i | ||||
\(459\) | 5.73167 | + | 2.80004i | 0.267531 | + | 0.130694i | ||||
\(460\) | −3.12443 | + | 9.61601i | −0.145677 | + | 0.448349i | ||||
\(461\) | 2.78562 | 0.129739 | 0.0648696 | − | 0.997894i | \(-0.479337\pi\) | ||||
0.0648696 | + | 0.997894i | \(0.479337\pi\) | |||||||
\(462\) | −1.14675 | − | 5.62894i | −0.0533516 | − | 0.261882i | ||||
\(463\) | −2.99874 | −0.139363 | −0.0696816 | − | 0.997569i | \(-0.522198\pi\) | ||||
−0.0696816 | + | 0.997569i | \(0.522198\pi\) | |||||||
\(464\) | −1.63671 | + | 5.03726i | −0.0759821 | + | 0.233849i | ||||
\(465\) | −6.91743 | + | 6.99543i | −0.320788 | + | 0.324405i | ||||
\(466\) | −24.3943 | − | 17.7235i | −1.13005 | − | 0.821026i | ||||
\(467\) | −5.15927 | + | 1.67635i | −0.238743 | + | 0.0775722i | −0.425945 | − | 0.904749i | \(-0.640058\pi\) |
0.187202 | + | 0.982321i | \(0.440058\pi\) | |||||||
\(468\) | −0.361238 | + | 0.268694i | −0.0166982 | + | 0.0124204i | ||||
\(469\) | −7.14124 | + | 9.82907i | −0.329752 | + | 0.453864i | ||||
\(470\) | −2.86152 | + | 2.07902i | −0.131992 | + | 0.0958979i | ||||
\(471\) | 36.9123 | + | 5.63441i | 1.70083 | + | 0.259620i | ||||
\(472\) | − | 14.7059i | − | 0.676893i | ||||||
\(473\) | 5.02368 | + | 13.6586i | 0.230989 | + | 0.628022i | ||||
\(474\) | −18.6090 | + | 3.05441i | −0.854742 | + | 0.140294i | ||||
\(475\) | −13.3749 | − | 4.34576i | −0.613682 | − | 0.199397i | ||||
\(476\) | 0.721593 | + | 0.993188i | 0.0330742 | + | 0.0455227i | ||||
\(477\) | 5.19843 | − | 16.6313i | 0.238020 | − | 0.761495i | ||||
\(478\) | 0.917735 | + | 2.82450i | 0.0419762 | + | 0.129190i | ||||
\(479\) | 8.33856 | + | 25.6634i | 0.380998 | + | 1.17259i | 0.939342 | + | 0.342983i | \(0.111437\pi\) |
−0.558343 | + | 0.829610i | \(0.688563\pi\) | |||||||
\(480\) | 1.95863 | + | 0.984183i | 0.0893990 | + | 0.0449216i | ||||
\(481\) | 0.659148 | + | 0.907240i | 0.0300546 | + | 0.0413666i | ||||
\(482\) | 4.00597 | + | 1.30162i | 0.182467 | + | 0.0592872i | ||||
\(483\) | −2.24130 | − | 13.6552i | −0.101983 | − | 0.621331i | ||||
\(484\) | −10.9678 | + | 0.841517i | −0.498535 | + | 0.0382508i | ||||
\(485\) | 12.5422i | 0.569511i | ||||||||
\(486\) | −13.6856 | + | 7.46349i | −0.620793 | + | 0.338551i | ||||
\(487\) | 14.1964 | − | 10.3143i | 0.643299 | − | 0.467384i | −0.217683 | − | 0.976019i | \(-0.569850\pi\) |
0.860982 | + | 0.508636i | \(0.169850\pi\) | |||||||
\(488\) | 1.48938 | − | 2.04995i | 0.0674210 | − | 0.0927971i | ||||
\(489\) | −14.5827 | + | 7.53354i | −0.659454 | + | 0.340679i | ||||
\(490\) | −1.20361 | + | 0.391077i | −0.0543736 | + | 0.0176671i | ||||
\(491\) | −27.3069 | − | 19.8396i | −1.23234 | − | 0.895351i | −0.235281 | − | 0.971927i | \(-0.575601\pi\) |
−0.997064 | + | 0.0765768i | \(0.975601\pi\) | |||||||
\(492\) | −12.0144 | − | 11.8805i | −0.541653 | − | 0.535614i | ||||
\(493\) | 2.00930 | − | 6.18398i | 0.0904942 | − | 0.278513i | ||||
\(494\) | −0.621020 | −0.0279410 | ||||||||
\(495\) | 7.89643 | + | 9.80851i | 0.354918 | + | 0.440860i | ||||
\(496\) | −4.48815 | −0.201524 | ||||||||
\(497\) | −1.94134 | + | 5.97482i | −0.0870809 | + | 0.268007i | ||||
\(498\) | −12.0184 | − | 11.8844i | −0.538556 | − | 0.532551i | ||||
\(499\) | 6.19831 | + | 4.50333i | 0.277474 | + | 0.201597i | 0.717815 | − | 0.696234i | \(-0.245142\pi\) |
−0.440341 | + | 0.897831i | \(0.645142\pi\) | |||||||
\(500\) | 10.1084 | − | 3.28441i | 0.452061 | − | 0.146883i | ||||
\(501\) | 17.4284 | − | 9.00366i | 0.778646 | − | 0.402254i | ||||
\(502\) | 6.01724 | − | 8.28202i | 0.268563 | − | 0.369645i | ||||
\(503\) | −7.37887 | + | 5.36106i | −0.329008 | + | 0.239038i | −0.740009 | − | 0.672596i | \(-0.765179\pi\) |
0.411002 | + | 0.911635i | \(0.365179\pi\) | |||||||
\(504\) | −2.99981 | + | 0.0336340i | −0.133622 | + | 0.00149818i | ||||
\(505\) | 1.93136i | 0.0859443i | ||||||||
\(506\) | −26.4781 | + | 1.01429i | −1.17709 | + | 0.0450908i | ||||
\(507\) | −3.64068 | − | 22.1809i | −0.161688 | − | 0.985086i | ||||
\(508\) | 9.83031 | + | 3.19406i | 0.436150 | + | 0.141714i | ||||
\(509\) | 21.3108 | + | 29.3318i | 0.944584 | + | 1.30011i | 0.953891 | + | 0.300152i | \(0.0970375\pi\) |
−0.00930679 | + | 0.999957i | \(0.502962\pi\) | |||||||
\(510\) | −2.40451 | − | 1.20823i | −0.106474 | − | 0.0535013i | ||||
\(511\) | −3.32472 | − | 10.2324i | −0.147077 | − | 0.452656i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −21.2916 | − | 3.00614i | −0.940045 | − | 0.132724i | ||||
\(514\) | −16.0700 | − | 22.1184i | −0.708816 | − | 0.975602i | ||||
\(515\) | 4.84924 | + | 1.57561i | 0.213683 | + | 0.0694298i | ||||
\(516\) | 7.49978 | − | 1.23098i | 0.330159 | − | 0.0541910i | ||||
\(517\) | −7.70224 | − | 5.15742i | −0.338744 | − | 0.226823i | ||||
\(518\) | 7.47257i | 0.328326i | ||||||||
\(519\) | 29.3267 | + | 4.47652i | 1.28730 | + | 0.196497i | ||||
\(520\) | 0.153650 | − | 0.111633i | 0.00673798 | − | 0.00489543i | ||||
\(521\) | −8.17594 | + | 11.2532i | −0.358194 | + | 0.493012i | −0.949645 | − | 0.313329i | \(-0.898556\pi\) |
0.591450 | + | 0.806342i | \(0.298556\pi\) | |||||||
\(522\) | 9.48313 | + | 12.7493i | 0.415065 | + | 0.558023i | ||||
\(523\) | 10.1304 | − | 3.29157i | 0.442971 | − | 0.143930i | −0.0790347 | − | 0.996872i | \(-0.525184\pi\) |
0.522006 | + | 0.852942i | \(0.325184\pi\) | |||||||
\(524\) | 2.53255 | + | 1.84001i | 0.110635 | + | 0.0803810i | ||||
\(525\) | −4.13875 | + | 4.18541i | −0.180630 | + | 0.182666i | ||||
\(526\) | −6.14791 | + | 18.9213i | −0.268062 | + | 0.825009i | ||||
\(527\) | 5.50987 | 0.240014 | ||||||||
\(528\) | −0.648815 | + | 5.70781i | −0.0282360 | + | 0.248400i | ||||
\(529\) | −40.8289 | −1.77517 | ||||||||
\(530\) | −2.27148 | + | 6.99090i | −0.0986668 | + | 0.303665i | ||||
\(531\) | −35.9804 | − | 25.5299i | −1.56142 | − | 1.10790i | ||||
\(532\) | −3.34788 | − | 2.43237i | −0.145149 | − | 0.105457i | ||||
\(533\) | −1.39232 | + | 0.452391i | −0.0603079 | + | 0.0195952i | ||||
\(534\) | −0.850723 | − | 1.64675i | −0.0368144 | − | 0.0712619i | ||||
\(535\) | −2.46237 | + | 3.38916i | −0.106457 | + | 0.146526i | ||||
\(536\) | 9.82907 | − | 7.14124i | 0.424551 | − | 0.308454i | ||||
\(537\) | 0.0983314 | − | 0.644192i | 0.00424331 | − | 0.0277989i | ||||
\(538\) | − | 0.633467i | − | 0.0273107i | ||||||
\(539\) | −2.05074 | − | 2.60662i | −0.0883318 | − | 0.112275i | ||||
\(540\) | 5.80822 | − | 3.08355i | 0.249946 | − | 0.132695i | ||||
\(541\) | 9.36982 | + | 3.04444i | 0.402840 | + | 0.130891i | 0.503427 | − | 0.864038i | \(-0.332072\pi\) |
−0.100587 | + | 0.994928i | \(0.532072\pi\) | |||||||
\(542\) | −15.4216 | − | 21.2260i | −0.662415 | − | 0.911735i | ||||
\(543\) | 13.4469 | − | 26.7608i | 0.577062 | − | 1.14842i | ||||
\(544\) | −0.379364 | − | 1.16756i | −0.0162651 | − | 0.0500588i | ||||
\(545\) | 0.766302 | + | 2.35843i | 0.0328248 | + | 0.101024i | ||||
\(546\) | −0.116705 | + | 0.232256i | −0.00499452 | + | 0.00993965i | ||||
\(547\) | 0.276221 | + | 0.380186i | 0.0118104 | + | 0.0162556i | 0.814881 | − | 0.579628i | \(-0.196802\pi\) |
−0.803071 | + | 0.595883i | \(0.796802\pi\) | |||||||
\(548\) | −0.810649 | − | 0.263396i | −0.0346292 | − | 0.0112517i | ||||
\(549\) | −2.42994 | − | 7.20281i | −0.103708 | − | 0.307408i | ||||
\(550\) | 6.96921 | + | 8.85827i | 0.297168 | + | 0.377718i | ||||
\(551\) | 21.9179i | 0.933736i | ||||||||
\(552\) | −2.08807 | + | 13.6794i | −0.0888741 | + | 0.582235i | ||||
\(553\) | −8.80833 | + | 6.39963i | −0.374568 | + | 0.272140i | ||||
\(554\) | 16.5876 | − | 22.8309i | 0.704739 | − | 0.969991i | ||||
\(555\) | −7.51801 | − | 14.5527i | −0.319122 | − | 0.617726i | ||||
\(556\) | 7.27423 | − | 2.36354i | 0.308496 | − | 0.100236i | ||||
\(557\) | 7.59992 | + | 5.52167i | 0.322019 | + | 0.233961i | 0.737037 | − | 0.675853i | \(-0.236225\pi\) |
−0.415017 | + | 0.909813i | \(0.636225\pi\) | |||||||
\(558\) | −7.79159 | + | 10.9810i | −0.329844 | + | 0.464864i | ||||
\(559\) | 0.203487 | − | 0.626269i | 0.00860659 | − | 0.0264883i | ||||
\(560\) | 1.26555 | 0.0534793 | ||||||||
\(561\) | 0.796516 | − | 7.00718i | 0.0336289 | − | 0.295843i | ||||
\(562\) | 4.66375 | 0.196728 | ||||||||
\(563\) | 12.2573 | − | 37.7240i | 0.516583 | − | 1.58988i | −0.263800 | − | 0.964577i | \(-0.584976\pi\) |
0.780383 | − | 0.625302i | \(-0.215024\pi\) | |||||||
\(564\) | −3.40374 | + | 3.44212i | −0.143323 | + | 0.144939i | ||||
\(565\) | 18.7890 | + | 13.6510i | 0.790457 | + | 0.574301i | ||||
\(566\) | 23.2527 | − | 7.55524i | 0.977382 | − | 0.317571i | ||||
\(567\) | −5.12548 | + | 7.39793i | −0.215250 | + | 0.310684i | ||||
\(568\) | 3.69264 | − | 5.08249i | 0.154940 | − | 0.213256i | ||||
\(569\) | −14.1470 | + | 10.2784i | −0.593073 | + | 0.430893i | −0.843414 | − | 0.537265i | \(-0.819458\pi\) |
0.250340 | + | 0.968158i | \(0.419458\pi\) | |||||||
\(570\) | 8.96707 | + | 1.36876i | 0.375589 | + | 0.0573311i | ||||
\(571\) | 42.0315i | 1.75896i | 0.475934 | + | 0.879481i | \(0.342110\pi\) | ||||
−0.475934 | + | 0.879481i | \(0.657890\pi\) | |||||||
\(572\) | 0.413573 | + | 0.276928i | 0.0172923 | + | 0.0115789i | ||||
\(573\) | 19.7046 | − | 3.23423i | 0.823170 | − | 0.135112i | ||||
\(574\) | −9.27777 | − | 3.01453i | −0.387247 | − | 0.125824i | ||||
\(575\) | 15.9588 | + | 21.9654i | 0.665527 | + | 0.916019i | ||||
\(576\) | 2.86338 | + | 0.895005i | 0.119308 | + | 0.0372919i | ||||
\(577\) | 2.37227 | + | 7.30108i | 0.0987587 | + | 0.303948i | 0.988215 | − | 0.153072i | \(-0.0489167\pi\) |
−0.889456 | + | 0.457020i | \(0.848917\pi\) | |||||||
\(578\) | −4.78756 | − | 14.7346i | −0.199136 | − | 0.612879i | ||||
\(579\) | −16.8308 | − | 8.45723i | −0.699465 | − | 0.351470i | ||||
\(580\) | −3.93991 | − | 5.42282i | −0.163596 | − | 0.225171i | ||||
\(581\) | −9.28079 | − | 3.01551i | −0.385032 | − | 0.125104i | ||||
\(582\) | 2.78026 | + | 16.9387i | 0.115245 | + | 0.702133i | ||||
\(583\) | −19.2497 | + | 0.737398i | −0.797243 | + | 0.0305399i | ||||
\(584\) | 10.7590i | 0.445211i | ||||||||
\(585\) | −0.00638782 | − | 0.569728i | −0.000264104 | − | 0.0235554i | ||||
\(586\) | 5.76112 | − | 4.18570i | 0.237990 | − | 0.172910i | ||||
\(587\) | −23.2807 | + | 32.0431i | −0.960898 | + | 1.32256i | −0.0143847 | + | 0.999897i | \(0.504579\pi\) |
−0.946513 | + | 0.322666i | \(0.895421\pi\) | |||||||
\(588\) | −1.53884 | + | 0.794973i | −0.0634605 | + | 0.0327842i | ||||
\(589\) | −17.6639 | + | 5.73934i | −0.727827 | + | 0.236485i | ||||
\(590\) | 15.0566 | + | 10.9393i | 0.619872 | + | 0.450364i | ||||
\(591\) | 11.9946 | + | 11.8608i | 0.493390 | + | 0.487889i | ||||
\(592\) | 2.30915 | − | 7.10684i | 0.0949056 | − | 0.292089i | ||||
\(593\) | 0.505509 | 0.0207588 | 0.0103794 | − | 0.999946i | \(-0.496696\pi\) | ||||
0.0103794 | + | 0.999946i | \(0.496696\pi\) | |||||||
\(594\) | 12.8387 | + | 11.4964i | 0.526780 | + | 0.471702i | ||||
\(595\) | −1.55365 | −0.0636935 | ||||||||
\(596\) | −0.275104 | + | 0.846682i | −0.0112687 | + | 0.0346815i | ||||
\(597\) | 23.5705 | + | 23.3077i | 0.964676 | + | 0.953920i | ||||
\(598\) | 0.969975 | + | 0.704728i | 0.0396652 | + | 0.0288185i | ||||
\(599\) | 7.13291 | − | 2.31762i | 0.291443 | − | 0.0946956i | −0.159647 | − | 0.987174i | \(-0.551035\pi\) |
0.451090 | + | 0.892479i | \(0.351035\pi\) | |||||||
\(600\) | 5.22955 | − | 2.70162i | 0.213495 | − | 0.110293i | ||||
\(601\) | −25.9777 | + | 35.7552i | −1.05965 | + | 1.45849i | −0.179521 | + | 0.983754i | \(0.557455\pi\) |
−0.880131 | + | 0.474732i | \(0.842545\pi\) | |||||||
\(602\) | 3.54991 | − | 2.57916i | 0.144684 | − | 0.105119i | ||||
\(603\) | −0.408633 | − | 36.4459i | −0.0166408 | − | 1.48419i | ||||
\(604\) | − | 14.5762i | − | 0.593096i | ||||||
\(605\) | 7.29703 | − | 11.8554i | 0.296666 | − | 0.481989i | ||||
\(606\) | 0.428129 | + | 2.60838i | 0.0173916 | + | 0.105958i | ||||
\(607\) | −11.3469 | − | 3.68682i | −0.460555 | − | 0.149643i | 0.0695446 | − | 0.997579i | \(-0.477845\pi\) |
−0.530099 | + | 0.847936i | \(0.677845\pi\) | |||||||
\(608\) | 2.43237 | + | 3.34788i | 0.0986458 | + | 0.135774i | ||||
\(609\) | 8.19712 | + | 4.11893i | 0.332164 | + | 0.166907i | ||||
\(610\) | 0.990943 | + | 3.04981i | 0.0401221 | + | 0.123483i | ||||
\(611\) | 0.129609 | + | 0.398896i | 0.00524343 | + | 0.0161376i | ||||
\(612\) | −3.51523 | − | 1.09875i | −0.142095 | − | 0.0444144i | ||||
\(613\) | −23.1639 | − | 31.8824i | −0.935581 | − | 1.28772i | −0.957642 | − | 0.287961i | \(-0.907023\pi\) |
0.0220609 | − | 0.999757i | \(-0.492977\pi\) | |||||||
\(614\) | −24.3353 | − | 7.90701i | −0.982092 | − | 0.319101i | ||||
\(615\) | 21.1011 | − | 3.46345i | 0.850878 | − | 0.139660i | ||||
\(616\) | 1.14489 | + | 3.11275i | 0.0461287 | + | 0.125416i | ||||
\(617\) | − | 14.7927i | − | 0.595530i | −0.954639 | − | 0.297765i | \(-0.903759\pi\) | ||
0.954639 | − | 0.297765i | \(-0.0962412\pi\) | |||||||
\(618\) | 6.89837 | + | 1.05299i | 0.277493 | + | 0.0423574i | ||||
\(619\) | 11.0014 | − | 7.99297i | 0.442183 | − | 0.321264i | −0.344319 | − | 0.938853i | \(-0.611890\pi\) |
0.786502 | + | 0.617588i | \(0.211890\pi\) | |||||||
\(620\) | 3.33861 | − | 4.59521i | 0.134082 | − | 0.184548i | ||||
\(621\) | 29.8441 | + | 28.8568i | 1.19760 | + | 1.15798i | ||||
\(622\) | 4.85519 | − | 1.57755i | 0.194675 | − | 0.0632538i | ||||
\(623\) | −0.865751 | − | 0.629005i | −0.0346856 | − | 0.0252005i | ||||
\(624\) | 0.182764 | − | 0.184825i | 0.00731643 | − | 0.00739892i | ||||
\(625\) | 1.09419 | − | 3.36758i | 0.0437677 | − | 0.134703i | ||||
\(626\) | 16.1522 | 0.645573 | ||||||||
\(627\) | 4.74548 | + | 23.2937i | 0.189516 | + | 0.930261i | ||||
\(628\) | −21.5582 | −0.860266 | ||||||||
\(629\) | −2.83483 | + | 8.72470i | −0.113032 | + | 0.347876i | ||||
\(630\) | 2.19704 | − | 3.09638i | 0.0875322 | − | 0.123363i | ||||
\(631\) | 38.2813 | + | 27.8130i | 1.52395 | + | 1.10722i | 0.959483 | + | 0.281766i | \(0.0909201\pi\) |
0.564472 | + | 0.825452i | \(0.309080\pi\) | |||||||
\(632\) | 10.3548 | − | 3.36448i | 0.411892 | − | 0.133832i | ||||
\(633\) | −0.344979 | − | 0.667779i | −0.0137117 | − | 0.0265418i | ||||
\(634\) | −9.89650 | + | 13.6214i | −0.393040 | + | 0.540973i | ||||
\(635\) | −10.5827 | + | 7.68882i | −0.419963 | + | 0.305121i | ||||
\(636\) | −1.51804 | + | 9.94503i | −0.0601942 | + | 0.394346i | ||||
\(637\) | 0.150070i | 0.00594599i | ||||||||
\(638\) | 9.77374 | − | 14.5964i | 0.386946 | − | 0.577877i | ||||
\(639\) | −6.02460 | − | 17.8580i | −0.238330 | − | 0.706453i | ||||
\(640\) | −1.20361 | − | 0.391077i | −0.0475769 | − | 0.0154587i | ||||
\(641\) | 10.4106 | + | 14.3290i | 0.411195 | + | 0.565961i | 0.963509 | − | 0.267674i | \(-0.0862552\pi\) |
−0.552314 | + | 0.833636i | \(0.686255\pi\) | |||||||
\(642\) | −2.57425 | + | 5.12304i | −0.101597 | + | 0.202190i | ||||
\(643\) | −10.2501 | − | 31.5465i | −0.404223 | − | 1.24407i | −0.921542 | − | 0.388279i | \(-0.873070\pi\) |
0.517319 | − | 0.855793i | \(-0.326930\pi\) | |||||||
\(644\) | 2.46883 | + | 7.59828i | 0.0972855 | + | 0.299414i | ||||
\(645\) | −4.31853 | + | 8.59436i | −0.170042 | + | 0.338403i | ||||
\(646\) | −2.98610 | − | 4.11001i | −0.117487 | − | 0.161706i | ||||
\(647\) | −35.8161 | − | 11.6374i | −1.40808 | − | 0.457512i | −0.496282 | − | 0.868161i | \(-0.665302\pi\) |
−0.911793 | + | 0.410650i | \(0.865302\pi\) | |||||||
\(648\) | 7.16071 | − | 5.45199i | 0.281299 | − | 0.214174i | ||||
\(649\) | −13.2853 | + | 46.9296i | −0.521493 | + | 1.84215i | ||||
\(650\) | − | 0.509995i | − | 0.0200037i | ||||||
\(651\) | −1.17302 | + | 7.68470i | −0.0459741 | + | 0.301187i | ||||
\(652\) | 7.66663 | − | 5.57013i | 0.300248 | − | 0.218143i | ||||
\(653\) | 23.9367 | − | 32.9460i | 0.936715 | − | 1.28928i | −0.0204664 | − | 0.999791i | \(-0.506515\pi\) |
0.957182 | − | 0.289488i | \(-0.0934849\pi\) | |||||||
\(654\) | 1.55772 | + | 3.01530i | 0.0609118 | + | 0.117907i | ||||
\(655\) | −3.76779 | + | 1.22423i | −0.147220 | + | 0.0478346i | ||||
\(656\) | 7.89214 | + | 5.73398i | 0.308136 | + | 0.223874i | ||||
\(657\) | 26.3237 | + | 18.6780i | 1.02699 | + | 0.728698i | ||||
\(658\) | −0.863658 | + | 2.65807i | −0.0336689 | + | 0.103622i | ||||
\(659\) | 3.77335 | 0.146989 | 0.0734945 | − | 0.997296i | \(-0.476585\pi\) | ||||
0.0734945 | + | 0.997296i | \(0.476585\pi\) | |||||||
\(660\) | −5.36132 | − | 4.91017i | −0.208689 | − | 0.191128i | ||||
\(661\) | 35.5412 | 1.38239 | 0.691196 | − | 0.722667i | \(-0.257084\pi\) | ||||
0.691196 | + | 0.722667i | \(0.257084\pi\) | |||||||
\(662\) | −1.55487 | + | 4.78541i | −0.0604319 | + | 0.185990i | ||||
\(663\) | −0.224370 | + | 0.226900i | −0.00871382 | + | 0.00881207i | ||||
\(664\) | 7.89471 | + | 5.73584i | 0.306374 | + | 0.222594i | ||||
\(665\) | 4.98079 | − | 1.61836i | 0.193147 | − | 0.0627571i | ||||
\(666\) | −13.3793 | − | 17.9874i | −0.518438 | − | 0.696999i | ||||
\(667\) | 24.8723 | − | 34.2337i | 0.963058 | − | 1.32554i | ||||
\(668\) | −9.16271 | + | 6.65710i | −0.354516 | + | 0.257571i | ||||
\(669\) | −31.1667 | − | 4.75738i | −1.20497 | − | 0.183931i | ||||
\(670\) | 15.3757i | 0.594015i | ||||||||
\(671\) | −6.60486 | + | 5.19635i | −0.254978 | + | 0.200603i | ||||
\(672\) | 1.70918 | − | 0.280538i | 0.0659331 | − | 0.0108220i | ||||
\(673\) | −31.3630 | − | 10.1905i | −1.20895 | − | 0.392813i | −0.365907 | − | 0.930652i | \(-0.619241\pi\) |
−0.843048 | + | 0.537838i | \(0.819241\pi\) | |||||||
\(674\) | 13.2501 | + | 18.2372i | 0.510375 | + | 0.702471i | ||||
\(675\) | 2.46871 | − | 17.4851i | 0.0950206 | − | 0.673001i | ||||
\(676\) | 4.01026 | + | 12.3423i | 0.154241 | + | 0.474704i | ||||
\(677\) | 0.576976 | + | 1.77575i | 0.0221750 | + | 0.0682476i | 0.961532 | − | 0.274694i | \(-0.0885766\pi\) |
−0.939357 | + | 0.342942i | \(0.888577\pi\) | |||||||
\(678\) | 28.4013 | + | 14.2712i | 1.09075 | + | 0.548083i | ||||
\(679\) | 5.82521 | + | 8.01771i | 0.223551 | + | 0.307692i | ||||
\(680\) | 1.47761 | + | 0.480105i | 0.0566638 | + | 0.0184112i | ||||
\(681\) | 5.52300 | + | 33.6489i | 0.211642 | + | 1.28943i | ||||
\(682\) | 14.3227 | + | 4.05460i | 0.548444 | + | 0.155259i | ||||
\(683\) | − | 39.4696i | − | 1.51026i | −0.655573 | − | 0.755132i | \(-0.727573\pi\) | ||
0.655573 | − | 0.755132i | \(-0.272427\pi\) | |||||||
\(684\) | 12.4138 | − | 0.139184i | 0.474655 | − | 0.00532185i | ||||
\(685\) | 0.872697 | − | 0.634052i | 0.0333441 | − | 0.0242259i | ||||
\(686\) | −0.587785 | + | 0.809017i | −0.0224417 | + | 0.0308884i | ||||
\(687\) | 15.0761 | − | 7.78841i | 0.575188 | − | 0.297146i | ||||
\(688\) | −4.17318 | + | 1.35595i | −0.159101 | + | 0.0516950i | ||||
\(689\) | 0.705178 | + | 0.512342i | 0.0268651 | + | 0.0195187i | ||||
\(690\) | −12.4525 | − | 12.3136i | −0.474057 | − | 0.468772i | ||||
\(691\) | 6.90773 | − | 21.2598i | 0.262783 | − | 0.808762i | −0.729413 | − | 0.684073i | \(-0.760207\pi\) |
0.992196 | − | 0.124688i | \(-0.0397931\pi\) | |||||||
\(692\) | −17.1279 | −0.651105 | ||||||||
\(693\) | 9.60344 | + | 2.60269i | 0.364804 | + | 0.0988682i | ||||
\(694\) | 20.3822 | 0.773699 | ||||||||
\(695\) | −2.99118 | + | 9.20591i | −0.113462 | + | 0.349200i | ||||
\(696\) | −6.52311 | − | 6.45038i | −0.247258 | − | 0.244501i | ||||
\(697\) | −9.68877 | − | 7.03930i | −0.366988 | − | 0.266633i | ||||
\(698\) | 20.6714 | − | 6.71655i | 0.782425 | − | 0.254225i | ||||
\(699\) | 46.4006 | − | 23.9709i | 1.75503 | − | 0.906662i | ||||
\(700\) | 1.99752 | − | 2.74935i | 0.0754991 | − | 0.103916i | ||||
\(701\) | 36.2208 | − | 26.3160i | 1.36804 | − | 0.993941i | 0.370155 | − | 0.928970i | \(-0.379305\pi\) |
0.997887 | − | 0.0649706i | \(-0.0206954\pi\) | |||||||
\(702\) | −0.134920 | − | 0.768026i | −0.00509224 | − | 0.0289873i | ||||
\(703\) | − | 30.9230i | − | 1.16628i | ||||||
\(704\) | −0.126956 | − | 3.31419i | −0.00478485 | − | 0.124908i | ||||
\(705\) | −0.992273 | − | 6.04543i | −0.0373712 | − | 0.227684i | ||||
\(706\) | −11.5876 | − | 3.76505i | −0.436106 | − | 0.141699i | ||||
\(707\) | 0.897019 | + | 1.23464i | 0.0337359 | + | 0.0464335i | ||||
\(708\) | 22.7596 | + | 11.4363i | 0.855357 | + | 0.429804i | ||||
\(709\) | −8.93914 | − | 27.5119i | −0.335717 | − | 1.03323i | −0.966368 | − | 0.257163i | \(-0.917212\pi\) |
0.630651 | − | 0.776066i | \(-0.282788\pi\) | |||||||
\(710\) | 2.45686 | + | 7.56144i | 0.0922044 | + | 0.283776i | ||||
\(711\) | 9.74454 | − | 31.1757i | 0.365449 | − | 1.16918i | ||||
\(712\) | 0.629005 | + | 0.865751i | 0.0235730 | + | 0.0324454i | ||||
\(713\) | 34.1022 | + | 11.0805i | 1.27714 | + | 0.414968i | ||||
\(714\) | −2.09827 | + | 0.344402i | −0.0785259 | + | 0.0128889i | ||||
\(715\) | −0.591179 | + | 0.217438i | −0.0221088 | + | 0.00813173i | ||||
\(716\) | 0.376232i | 0.0140605i | ||||||||
\(717\) | −5.08504 | − | 0.776196i | −0.189904 | − | 0.0289876i | ||||
\(718\) | −21.3205 | + | 15.4903i | −0.795676 | + | 0.578092i | ||||
\(719\) | −11.0692 | + | 15.2355i | −0.412812 | + | 0.568187i | −0.963901 | − | 0.266259i | \(-0.914212\pi\) |
0.551090 | + | 0.834446i | \(0.314212\pi\) | |||||||
\(720\) | −3.04635 | + | 2.26591i | −0.113531 | + | 0.0844456i | ||||
\(721\) | 3.83172 | − | 1.24500i | 0.142701 | − | 0.0463663i | ||||
\(722\) | −1.51713 | − | 1.10226i | −0.0564617 | − | 0.0410219i | ||||
\(723\) | −5.12978 | + | 5.18762i | −0.190779 | + | 0.192930i | ||||
\(724\) | −5.34329 | + | 16.4450i | −0.198582 | + | 0.611172i | ||||
\(725\) | −17.9995 | −0.668484 | ||||||||
\(726\) | 7.22694 | − | 17.6287i | 0.268217 | − | 0.654263i | ||||
\(727\) | 45.8398 | 1.70010 | 0.850051 | − | 0.526700i | \(-0.176571\pi\) | ||||
0.850051 | + | 0.526700i | \(0.176571\pi\) | |||||||
\(728\) | 0.0463742 | − | 0.142725i | 0.00171874 | − | 0.00528975i | ||||
\(729\) | −0.907966 | − | 26.9847i | −0.0336284 | − | 0.999434i | ||||
\(730\) | −11.0156 | − | 8.00333i | −0.407707 | − | 0.296216i | ||||
\(731\) | 5.12319 | − | 1.66463i | 0.189488 | − | 0.0615684i | ||||
\(732\) | 2.01437 | + | 3.89923i | 0.0744533 | + | 0.144120i | ||||
\(733\) | 4.64612 | − | 6.39483i | 0.171608 | − | 0.236199i | −0.714546 | − | 0.699588i | \(-0.753367\pi\) |
0.886155 | + | 0.463389i | \(0.153367\pi\) | |||||||
\(734\) | 14.4897 | − | 10.5274i | 0.534825 | − | 0.388573i | ||||
\(735\) | 0.330762 | − | 2.16690i | 0.0122004 | − | 0.0799273i | ||||
\(736\) | − | 7.98930i | − | 0.294490i | ||||||
\(737\) | −37.8181 | + | 13.9097i | −1.39305 | + | 0.512369i | ||||
\(738\) | 27.7302 | − | 9.35507i | 1.02076 | − | 0.344365i | ||||
\(739\) | −30.1398 | − | 9.79303i | −1.10871 | − | 0.360242i | −0.303263 | − | 0.952907i | \(-0.598076\pi\) |
−0.805449 | + | 0.592665i | \(0.798076\pi\) | |||||||
\(740\) | 5.55864 | + | 7.65081i | 0.204340 | + | 0.281250i | ||||
\(741\) | 0.482950 | − | 0.961124i | 0.0177416 | − | 0.0353078i | ||||
\(742\) | 1.79485 | + | 5.52399i | 0.0658912 | + | 0.202792i | ||||
\(743\) | −8.62955 | − | 26.5590i | −0.316587 | − | 0.974356i | −0.975096 | − | 0.221783i | \(-0.928812\pi\) |
0.658509 | − | 0.752573i | \(-0.271188\pi\) | |||||||
\(744\) | 3.49031 | − | 6.94610i | 0.127961 | − | 0.254656i | ||||
\(745\) | −0.662236 | − | 0.911489i | −0.0242624 | − | 0.0333944i | ||||
\(746\) | 10.6734 | + | 3.46800i | 0.390781 | + | 0.126973i | ||||
\(747\) | 27.7392 | − | 9.35811i | 1.01492 | − | 0.342396i | ||||
\(748\) | 0.155858 | + | 4.06866i | 0.00569873 | + | 0.148765i | ||||
\(749\) | 3.31020i | 0.120952i | ||||||||
\(750\) | −2.77787 | + | 18.1985i | −0.101433 | + | 0.664514i | ||||
\(751\) | −39.9326 | + | 29.0127i | −1.45716 | + | 1.05869i | −0.473068 | + | 0.881026i | \(0.656854\pi\) |
−0.984091 | + | 0.177662i | \(0.943146\pi\) | |||||||
\(752\) | 1.64278 | − | 2.26109i | 0.0599059 | − | 0.0824533i | ||||
\(753\) | 8.13826 | + | 15.7533i | 0.296575 | + | 0.574082i | ||||
\(754\) | −0.755942 | + | 0.245620i | −0.0275298 | + | 0.00894497i | ||||
\(755\) | 14.9239 | + | 10.8428i | 0.543135 | + | 0.394611i | ||||
\(756\) | 2.28081 | − | 4.66882i | 0.0829524 | − | 0.169803i | ||||
\(757\) | 4.52610 | − | 13.9299i | 0.164504 | − | 0.506291i | −0.834495 | − | 0.551015i | \(-0.814241\pi\) |
0.998999 | + | 0.0447237i | \(0.0142408\pi\) | |||||||
\(758\) | 17.5667 | 0.638051 | ||||||||
\(759\) | 19.0215 | − | 41.7677i | 0.690436 | − | 1.51607i | ||||
\(760\) | −5.23711 | −0.189970 | ||||||||
\(761\) | −2.71038 | + | 8.34169i | −0.0982512 | + | 0.302386i | −0.988087 | − | 0.153894i | \(-0.950819\pi\) |
0.889836 | + | 0.456280i | \(0.150819\pi\) | |||||||
\(762\) | −12.5880 | + | 12.7300i | −0.456017 | + | 0.461158i | ||||
\(763\) | 1.58524 | + | 1.15175i | 0.0573896 | + | 0.0416960i | ||||
\(764\) | −10.9644 | + | 3.56255i | −0.396678 | + | 0.128889i | ||||
\(765\) | 3.73984 | − | 2.78174i | 0.135214 | − | 0.100574i | ||||
\(766\) | −14.7721 | + | 20.3321i | −0.533739 | + | 0.734629i | ||||
\(767\) | 1.78543 | − | 1.29719i | 0.0644681 | − | 0.0468388i | ||||
\(768\) | −1.71222 | − | 0.261358i | −0.0617844 | − | 0.00943095i | ||||
\(769\) | 7.95794i | 0.286971i | 0.989652 | + | 0.143485i | \(0.0458310\pi\) | ||||
−0.989652 | + | 0.143485i | \(0.954169\pi\) | |||||||
\(770\) | −4.03865 | − | 1.14330i | −0.145543 | − | 0.0412016i | ||||
\(771\) | 46.7288 | − | 7.66988i | 1.68290 | − | 0.276224i | ||||
\(772\) | 10.3428 | + | 3.36058i | 0.372246 | + | 0.120950i | ||||
\(773\) | 2.00414 | + | 2.75846i | 0.0720839 | + | 0.0992150i | 0.843537 | − | 0.537072i | \(-0.180470\pi\) |
−0.771453 | + | 0.636287i | \(0.780470\pi\) | |||||||
\(774\) | −3.92722 | + | 12.5643i | −0.141161 | + | 0.451616i | ||||
\(775\) | −4.71327 | − | 14.5059i | −0.169306 | − | 0.521069i | ||||
\(776\) | −3.06249 | − | 9.42539i | −0.109937 | − | 0.338352i | ||||
\(777\) | −11.5649 | − | 5.81120i | −0.414890 | − | 0.208476i | ||||
\(778\) | 6.53645 | + | 8.99665i | 0.234343 | + | 0.322545i | ||||
\(779\) | 38.3933 | + | 12.4747i | 1.37558 | + | 0.446954i | ||||
\(780\) | 0.0532802 | + | 0.324610i | 0.00190774 | + | 0.0116229i | ||||
\(781\) | −16.3755 | + | 12.8834i | −0.585963 | + | 0.461004i | ||||
\(782\) | 9.80805i | 0.350735i | ||||||||
\(783\) | −27.1063 | + | 4.76180i | −0.968700 | + | 0.170173i | ||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | 16.0365 | − | 22.0724i | 0.572369 | − | 0.787798i | ||||
\(786\) | −4.81718 | + | 2.48859i | −0.171823 | + | 0.0887650i | ||||
\(787\) | 8.94226 | − | 2.90552i | 0.318757 | − | 0.103570i | −0.145268 | − | 0.989392i | \(-0.546405\pi\) |
0.464026 | + | 0.885822i | \(0.346405\pi\) | |||||||
\(788\) | −7.87907 | − | 5.72448i | −0.280680 | − | 0.203926i | ||||
\(789\) | −24.5026 | − | 24.2294i | −0.872314 | − | 0.862589i | ||||
\(790\) | −4.25793 | + | 13.1046i | −0.151490 | + | 0.466239i | ||||
\(791\) | 18.3512 | 0.652495 | ||||||||
\(792\) | −8.32913 | − | 5.44293i | −0.295963 | − | 0.193406i | ||||
\(793\) | 0.380260 | 0.0135034 | ||||||||
\(794\) | 6.92626 | − | 21.3168i | 0.245804 | − | 0.756506i | ||||
\(795\) | −9.05302 | − | 8.95208i | −0.321077 | − | 0.317498i | ||||
\(796\) | −15.4832 | − | 11.2492i | −0.548786 | − | 0.398716i | ||||
\(797\) | −38.8467 | + | 12.6221i | −1.37602 | + | 0.447096i | −0.901359 | − | 0.433072i | \(-0.857430\pi\) |
−0.474662 | + | 0.880168i | \(0.657430\pi\) | |||||||
\(798\) | 6.36802 | − | 3.28976i | 0.225425 | − | 0.116456i | ||||
\(799\) | −2.01675 | + | 2.77582i | −0.0713475 | + | 0.0982014i | ||||
\(800\) | −2.74935 | + | 1.99752i | −0.0972041 | + | 0.0706229i | ||||
\(801\) | 3.21018 | − | 0.0359927i | 0.113426 | − | 0.00127174i | ||||
\(802\) | 5.33100i | 0.188244i | ||||||||
\(803\) | 9.71968 | − | 34.3343i | 0.343000 | − | 1.21163i | ||||
\(804\) | 3.40837 | + | 20.7655i | 0.120204 | + | 0.732343i | ||||
\(805\) | −9.61601 | − | 3.12443i | −0.338920 | − | 0.110122i | ||||
\(806\) | −0.395896 | − | 0.544904i | −0.0139448 | − | 0.0191934i | ||||
\(807\) | 0.980386 | + | 0.492629i | 0.0345112 | + | 0.0173414i | ||||
\(808\) | −0.471591 | − | 1.45141i | −0.0165905 | − | 0.0510603i | ||||
\(809\) | −0.901007 | − | 2.77301i | −0.0316777 | − | 0.0974939i | 0.933968 | − | 0.357358i | \(-0.116322\pi\) |
−0.965645 | + | 0.259864i | \(0.916322\pi\) | |||||||
\(810\) | 0.255377 | + | 11.3871i | 0.00897305 | + | 0.400102i | ||||
\(811\) | −20.8639 | − | 28.7168i | −0.732632 | − | 1.00838i | −0.999009 | − | 0.0445126i | \(-0.985827\pi\) |
0.266377 | − | 0.963869i | \(-0.414173\pi\) | |||||||
\(812\) | −5.03726 | − | 1.63671i | −0.176773 | − | 0.0574371i | ||||
\(813\) | 44.8434 | − | 7.36042i | 1.57273 | − | 0.258141i | ||||
\(814\) | −13.7893 | + | 20.5934i | −0.483316 | + | 0.721798i | ||||
\(815\) | 11.9930i | 0.420095i | ||||||||
\(816\) | 2.10200 | + | 0.320856i | 0.0735848 | + | 0.0112322i | ||||
\(817\) | −14.6903 | + | 10.6731i | −0.513947 | + | 0.373405i | ||||
\(818\) | −9.47901 | + | 13.0467i | −0.331426 | + | 0.456169i | ||||
\(819\) | −0.268694 | − | 0.361238i | −0.00938892 | − | 0.0126227i | ||||
\(820\) | −11.7415 | + | 3.81504i | −0.410031 | + | 0.133227i | ||||
\(821\) | 35.8961 | + | 26.0801i | 1.25278 | + | 0.910200i | 0.998380 | − | 0.0568979i | \(-0.0181210\pi\) |
0.254403 | + | 0.967098i | \(0.418121\pi\) | |||||||
\(822\) | 1.03806 | − | 1.04977i | 0.0362066 | − | 0.0366148i | ||||
\(823\) | 13.6996 | − | 42.1630i | 0.477537 | − | 1.46971i | −0.364968 | − | 0.931020i | \(-0.618920\pi\) |
0.842505 | − | 0.538688i | \(-0.181080\pi\) | |||||||
\(824\) | −4.02891 | −0.140354 | ||||||||
\(825\) | −19.1293 | + | 3.89709i | −0.665996 | + | 0.135679i | ||||
\(826\) | 14.7059 | 0.511683 | ||||||||
\(827\) | 17.7051 | − | 54.4908i | 0.615667 | − | 1.89483i | 0.224685 | − | 0.974431i | \(-0.427865\pi\) |
0.390983 | − | 0.920398i | \(-0.372135\pi\) | |||||||
\(828\) | −19.5472 | − | 13.8697i | −0.679311 | − | 0.482005i | ||||
\(829\) | −7.96168 | − | 5.78450i | −0.276521 | − | 0.200904i | 0.440878 | − | 0.897567i | \(-0.354667\pi\) |
−0.717398 | + | 0.696663i | \(0.754667\pi\) | |||||||
\(830\) | −11.7453 | + | 3.81628i | −0.407686 | + | 0.132465i | ||||
\(831\) | 22.4346 | + | 43.4267i | 0.778246 | + | 1.50646i | ||||
\(832\) | −0.0882090 | + | 0.121409i | −0.00305810 | + | 0.00420911i | ||||
\(833\) | −0.993188 | + | 0.721593i | −0.0344119 | + | 0.0250017i | ||||
\(834\) | −1.99902 | + | 13.0960i | −0.0692203 | + | 0.453478i | ||||
\(835\) | − | 14.3333i | − | 0.496024i | ||||||
\(836\) | −4.73777 | − | 12.8812i | −0.163859 | − | 0.445506i | ||||
\(837\) | −10.9355 | − | 20.5983i | −0.377987 | − | 0.711981i | ||||
\(838\) | 17.8350 | + | 5.79495i | 0.616101 | + | 0.200183i | ||||
\(839\) | 26.2744 | + | 36.1636i | 0.907093 | + | 1.24851i | 0.968150 | + | 0.250372i | \(0.0805528\pi\) |
−0.0610572 | + | 0.998134i | \(0.519447\pi\) | |||||||
\(840\) | −0.984183 | + | 1.95863i | −0.0339575 | + | 0.0675793i | ||||
\(841\) | −0.292701 | − | 0.900843i | −0.0100932 | − | 0.0310635i | ||||
\(842\) | −2.34613 | − | 7.22064i | −0.0808529 | − | 0.248840i | ||||
\(843\) | −3.62686 | + | 7.21787i | −0.124916 | + | 0.248597i | ||||
\(844\) | 0.255070 | + | 0.351073i | 0.00877986 | + | 0.0120844i | ||||
\(845\) | −15.6198 | − | 5.07519i | −0.537339 | − | 0.174592i | ||||
\(846\) | −2.68021 | − | 7.94465i | −0.0921476 | − | 0.273143i | ||||
\(847\) | −0.841517 | − | 10.9678i | −0.0289149 | − | 0.376857i | ||||
\(848\) | − | 5.80827i | − | 0.199457i | ||||||
\(849\) | −6.39002 | + | 41.8625i | −0.219305 | + | 1.43672i | ||||
\(850\) | 3.37523 | − | 2.45225i | 0.115769 | − | 0.0841114i | ||||
\(851\) | −35.0912 | + | 48.2988i | −1.20291 | + | 1.65566i | ||||
\(852\) | 4.99426 | + | 9.66743i | 0.171101 | + | 0.331201i | ||||
\(853\) | −14.8506 | + | 4.82526i | −0.508476 | + | 0.165214i | −0.552009 | − | 0.833838i | \(-0.686139\pi\) |
0.0435333 | + | 0.999052i | \(0.486139\pi\) | |||||||
\(854\) | 2.04995 | + | 1.48938i | 0.0701480 | + | 0.0509655i | ||||
\(855\) | −9.09180 | + | 12.8135i | −0.310933 | + | 0.438211i | ||||
\(856\) | 1.02291 | − | 3.14819i | 0.0349623 | − | 0.107603i | ||||
\(857\) | 23.4298 | 0.800346 | 0.400173 | − | 0.916440i | \(-0.368950\pi\) | ||||
0.400173 | + | 0.916440i | \(0.368950\pi\) | |||||||
\(858\) | −0.750212 | + | 0.424708i | −0.0256118 | + | 0.0144993i | ||||
\(859\) | −45.1419 | −1.54022 | −0.770110 | − | 0.637911i | \(-0.779799\pi\) | ||||
−0.770110 | + | 0.637911i | \(0.779799\pi\) | |||||||
\(860\) | 1.71602 | − | 5.28137i | 0.0585158 | − | 0.180093i | ||||
\(861\) | 11.8805 | − | 12.0144i | 0.404886 | − | 0.409451i | ||||
\(862\) | −18.4067 | − | 13.3733i | −0.626936 | − | 0.455496i | ||||
\(863\) | −10.9781 | + | 3.56700i | −0.373699 | + | 0.121422i | −0.489844 | − | 0.871810i | \(-0.662946\pi\) |
0.116145 | + | 0.993232i | \(0.462946\pi\) | |||||||
\(864\) | −3.61193 | + | 3.73550i | −0.122880 | + | 0.127084i | ||||
\(865\) | 12.7410 | − | 17.5364i | 0.433206 | − | 0.596257i | ||||
\(866\) | 8.15913 | − | 5.92796i | 0.277259 | − | 0.201440i | ||||
\(867\) | 26.5272 | + | 4.04919i | 0.900911 | + | 0.137518i | ||||
\(868\) | − | 4.48815i | − | 0.152338i | ||||||
\(869\) | −36.0839 | + | 1.38226i | −1.22406 | + | 0.0468901i | ||||
\(870\) | 11.4566 | − | 1.88044i | 0.388415 | − | 0.0637529i | ||||
\(871\) | 1.73402 | + | 0.563419i | 0.0587552 | + | 0.0190907i | ||||
\(872\) | −1.15175 | − | 1.58524i | −0.0390030 | − | 0.0536830i | ||||
\(873\) | −28.3774 | − | 8.86989i | −0.960429 | − | 0.300200i | ||||
\(874\) | −10.2165 | − | 31.4432i | −0.345579 | − | 1.06358i | ||||
\(875\) | 3.28441 | + | 10.1084i | 0.111033 | + | 0.341726i | ||||
\(876\) | −16.6512 | − | 8.36697i | −0.562592 | − | 0.282694i | ||||
\(877\) | 23.7693 | + | 32.7156i | 0.802632 | + | 1.10473i | 0.992419 | + | 0.122903i | \(0.0392204\pi\) |
−0.189787 | + | 0.981825i | \(0.560780\pi\) | |||||||
\(878\) | −2.50363 | − | 0.813480i | −0.0844935 | − | 0.0274536i | ||||
\(879\) | 1.99775 | + | 12.1713i | 0.0673824 | + | 0.410528i | ||||
\(880\) | 3.48769 | + | 2.33535i | 0.117570 | + | 0.0787247i | ||||
\(881\) | 27.0165i | 0.910209i | 0.890438 | + | 0.455104i | \(0.150398\pi\) | ||||
−0.890438 | + | 0.455104i | \(0.849602\pi\) | |||||||
\(882\) | −0.0336340 | − | 2.99981i | −0.00113252 | − | 0.101009i | ||||
\(883\) | −36.9282 | + | 26.8299i | −1.24273 | + | 0.902897i | −0.997777 | − | 0.0666371i | \(-0.978773\pi\) |
−0.244954 | + | 0.969535i | \(0.578773\pi\) | |||||||
\(884\) | 0.108290 | − | 0.149048i | 0.00364217 | − | 0.00501302i | ||||
\(885\) | −28.6393 | + | 14.7953i | −0.962701 | + | 0.497338i | ||||
\(886\) | 19.2664 | − | 6.26004i | 0.647268 | − | 0.210310i | ||||
\(887\) | −32.1172 | − | 23.3345i | −1.07839 | − | 0.783495i | −0.100988 | − | 0.994888i | \(-0.532200\pi\) |
−0.977401 | + | 0.211392i | \(0.932200\pi\) | |||||||
\(888\) | 9.20316 | + | 9.10055i | 0.308838 | + | 0.305394i | ||||
\(889\) | −3.19406 | + | 9.83031i | −0.107125 | + | 0.329698i | ||||
\(890\) | −1.35430 | −0.0453963 | ||||||||
\(891\) | −27.7767 | + | 10.9295i | −0.930555 | + | 0.366152i | ||||
\(892\) | 18.2025 | 0.609465 | ||||||||
\(893\) | 3.57399 | − | 10.9996i | 0.119599 | − | 0.368088i | ||||
\(894\) | −1.09643 | − | 1.08421i | −0.0366701 | − | 0.0362612i | ||||
\(895\) | −0.385206 | − | 0.279869i | −0.0128760 | − | 0.00935498i | ||||
\(896\) | −0.951057 | + | 0.309017i | −0.0317726 | + | 0.0103235i | ||||
\(897\) | −1.84500 | + | 0.953137i | −0.0616026 | + | 0.0318243i | ||||
\(898\) | −15.1453 | + | 20.8457i | −0.505406 | + | 0.695631i | ||||
\(899\) | −19.2315 | + | 13.9725i | −0.641407 | + | 0.466009i | ||||
\(900\) | 0.114301 | + | 10.1945i | 0.00381004 | + | 0.339817i | ||||
\(901\) | 7.13051i | 0.237552i | ||||||||
\(902\) | −20.0055 | − | 25.4281i | −0.666109 | − | 0.846664i | ||||
\(903\) | 1.23098 | + | 7.49978i | 0.0409646 | + | 0.249577i | ||||
\(904\) | −17.4531 | − | 5.67084i | −0.580480 | − | 0.188609i | ||||
\(905\) | −12.8625 | − | 17.7037i | −0.427563 | − | 0.588490i | ||||
\(906\) | 22.5589 | + | 11.3355i | 0.749468 | + | 0.376596i | ||||
\(907\) | 11.5188 | + | 35.4512i | 0.382475 | + | 1.17714i | 0.938295 | + | 0.345835i | \(0.112404\pi\) |
−0.555820 | + | 0.831302i | \(0.687596\pi\) | |||||||
\(908\) | −6.08367 | − | 18.7236i | −0.201894 | − | 0.621365i | ||||
\(909\) | −4.36981 | − | 1.36587i | −0.144937 | − | 0.0453030i | ||||
\(910\) | 0.111633 | + | 0.153650i | 0.00370060 | + | 0.00509344i | ||||
\(911\) | −8.56241 | − | 2.78210i | −0.283685 | − | 0.0921749i | 0.163718 | − | 0.986507i | \(-0.447651\pi\) |
−0.447404 | + | 0.894332i | \(0.647651\pi\) | |||||||
\(912\) | −7.07294 | + | 1.16092i | −0.234208 | + | 0.0384420i | ||||
\(913\) | −20.0120 | − | 25.4364i | −0.662300 | − | 0.841822i | ||||
\(914\) | 23.7456i | 0.785435i | ||||||||
\(915\) | −5.49067 | − | 0.838113i | −0.181516 | − | 0.0277072i | ||||
\(916\) | −7.92599 | + | 5.75857i | −0.261882 | + | 0.190269i | ||||
\(917\) | −1.84001 | + | 2.53255i | −0.0607623 | + | 0.0836322i | ||||
\(918\) | 4.43417 | − | 4.58588i | 0.146350 | − | 0.151357i | ||||
\(919\) | 19.1502 | − | 6.22228i | 0.631707 | − | 0.205254i | 0.0243760 | − | 0.999703i | \(-0.492240\pi\) |
0.607331 | + | 0.794449i | \(0.292240\pi\) | |||||||
\(920\) | 8.17987 | + | 5.94302i | 0.269682 | + | 0.195936i | ||||
\(921\) | 31.1621 | − | 31.5135i | 1.02683 | − | 1.03840i | ||||
\(922\) | 0.860804 | − | 2.64928i | 0.0283491 | − | 0.0872495i | ||||
\(923\) | 0.942785 | 0.0310322 | ||||||||
\(924\) | −5.70781 | − | 0.648815i | −0.187773 | − | 0.0213444i | ||||
\(925\) | 25.3946 | 0.834971 | ||||||||
\(926\) | −0.926661 | + | 2.85197i | −0.0304520 | + | 0.0937216i | ||||
\(927\) | −6.99432 | + | 9.85740i | −0.229724 | + | 0.323759i | ||||
\(928\) | 4.28495 | + | 3.11320i | 0.140660 | + | 0.102196i | ||||
\(929\) | −36.4151 | + | 11.8320i | −1.19474 | + | 0.388195i | −0.837823 | − | 0.545942i | \(-0.816172\pi\) |
−0.356917 | + | 0.934136i | \(0.616172\pi\) | |||||||
\(930\) | 4.51544 | + | 8.74058i | 0.148067 | + | 0.286615i | ||||
\(931\) | 2.43237 | − | 3.34788i | 0.0797179 | − | 0.109722i | ||||
\(932\) | −24.3943 | + | 17.7235i | −0.799063 | + | 0.580553i | ||||
\(933\) | −1.33425 | + | 8.74095i | −0.0436813 | + | 0.286166i | ||||
\(934\) | 5.42478i | 0.177504i | ||||||||
\(935\) | −4.28165 | − | 2.86699i | −0.140025 | − | 0.0937606i | ||||
\(936\) | 0.143914 | + | 0.426589i | 0.00470399 | + | 0.0139435i | ||||
\(937\) | 47.7321 | + | 15.5091i | 1.55934 | + | 0.506660i | 0.956631 | − | 0.291302i | \(-0.0940886\pi\) |
0.602708 | + | 0.797962i | \(0.294089\pi\) | |||||||
\(938\) | 7.14124 | + | 9.82907i | 0.233170 | + | 0.320930i | ||||
\(939\) | −12.5611 | + | 24.9980i | −0.409917 | + | 0.815780i | ||||
\(940\) | 1.09300 | + | 3.36392i | 0.0356499 | + | 0.109719i | ||||
\(941\) | −6.03396 | − | 18.5706i | −0.196702 | − | 0.605385i | −0.999953 | − | 0.00974438i | \(-0.996898\pi\) |
0.803251 | − | 0.595641i | \(-0.203102\pi\) | |||||||
\(942\) | 16.7652 | − | 33.3646i | 0.546239 | − | 1.08708i | ||||
\(943\) | −45.8104 | − | 63.0527i | −1.49179 | − | 2.05328i | ||||
\(944\) | −13.9861 | − | 4.54436i | −0.455209 | − | 0.147906i | ||||
\(945\) | 3.08355 | + | 5.80822i | 0.100308 | + | 0.188942i | ||||
\(946\) | 14.5425 | − | 0.557077i | 0.472817 | − | 0.0181121i | ||||
\(947\) | 0.232395i | 0.00755181i | 0.999993 | + | 0.00377591i | \(0.00120191\pi\) | ||||
−0.999993 | + | 0.00377591i | \(0.998798\pi\) | |||||||
\(948\) | −2.84559 | + | 18.6421i | −0.0924205 | + | 0.605468i | ||||
\(949\) | −1.30624 | + | 0.949041i | −0.0424024 | + | 0.0308072i | ||||
\(950\) | −8.26613 | + | 11.3774i | −0.268189 | + | 0.369130i | ||||
\(951\) | −13.3849 | − | 25.9093i | −0.434035 | − | 0.840166i | ||||
\(952\) | 1.16756 | − | 0.379364i | 0.0378409 | − | 0.0122953i | ||||
\(953\) | 7.79107 | + | 5.66054i | 0.252377 | + | 0.183363i | 0.706780 | − | 0.707434i | \(-0.250147\pi\) |
−0.454402 | + | 0.890797i | \(0.650147\pi\) | |||||||
\(954\) | −14.2109 | − | 10.0834i | −0.460095 | − | 0.326461i | ||||
\(955\) | 4.50859 | − | 13.8760i | 0.145895 | − | 0.449017i | ||||
\(956\) | 2.96985 | 0.0960519 | ||||||||
\(957\) | 14.9894 | + | 26.4775i | 0.484538 | + | 0.855898i | ||||
\(958\) | 26.9841 | 0.871818 | ||||||||
\(959\) | 0.263396 | − | 0.810649i | 0.00850549 | − | 0.0261772i | ||||
\(960\) | 1.54126 | − | 1.55864i | 0.0497441 | − | 0.0503050i | ||||
\(961\) | 8.78307 | + | 6.38127i | 0.283325 | + | 0.205847i | ||||
\(962\) | 1.06652 | − | 0.346535i | 0.0343861 | − | 0.0111727i | ||||
\(963\) | −5.92677 | − | 7.96808i | −0.190987 | − | 0.256768i | ||||
\(964\) | 2.47583 | − | 3.40768i | 0.0797410 | − | 0.109754i | ||||
\(965\) | −11.1345 | + | 8.08967i | −0.358431 | + | 0.260416i | ||||
\(966\) | −13.6794 | − | 2.08807i | −0.440128 | − | 0.0671825i | ||||
\(967\) | − | 32.6778i | − | 1.05085i | −0.850840 | − | 0.525424i | \(-0.823907\pi\) | ||
0.850840 | − | 0.525424i | \(-0.176093\pi\) | |||||||
\(968\) | −2.58890 | + | 10.6910i | −0.0832103 | + | 0.343622i | ||||
\(969\) | 8.68308 | − | 1.42521i | 0.278941 | − | 0.0457842i | ||||
\(970\) | 11.9283 | + | 3.87574i | 0.382995 | + | 0.124443i | ||||
\(971\) | −9.50365 | − | 13.0807i | −0.304987 | − | 0.419778i | 0.628823 | − | 0.777549i | \(-0.283537\pi\) |
−0.933810 | + | 0.357770i | \(0.883537\pi\) | |||||||
\(972\) | 2.86911 | + | 15.3221i | 0.0920266 | + | 0.491458i | ||||
\(973\) | 2.36354 | + | 7.27423i | 0.0757716 | + | 0.233201i | ||||
\(974\) | −5.42253 | − | 16.6888i | −0.173749 | − | 0.534745i | ||||
\(975\) | 0.789295 | + | 0.396608i | 0.0252777 | + | 0.0127016i | ||||
\(976\) | −1.48938 | − | 2.04995i | −0.0476739 | − | 0.0656174i | ||||
\(977\) | −3.72468 | − | 1.21022i | −0.119163 | − | 0.0387184i | 0.248828 | − | 0.968548i | \(-0.419954\pi\) |
−0.367992 | + | 0.929829i | \(0.619954\pi\) | |||||||
\(978\) | 2.65851 | + | 16.1970i | 0.0850098 | + | 0.517923i | ||||
\(979\) | −1.22517 | − | 3.33104i | −0.0391567 | − | 0.106461i | ||||
\(980\) | 1.26555i | 0.0404266i | ||||||||
\(981\) | −5.87803 | + | 0.0659047i | −0.187671 | + | 0.00210418i | ||||
\(982\) | −27.3069 | + | 19.8396i | −0.871399 | + | 0.633109i | ||||
\(983\) | −7.15144 | + | 9.84312i | −0.228096 | + | 0.313947i | −0.907690 | − | 0.419641i | \(-0.862156\pi\) |
0.679594 | + | 0.733588i | \(0.262156\pi\) | |||||||
\(984\) | −15.0117 | + | 7.75514i | −0.478555 | + | 0.247225i | ||||
\(985\) | 11.7221 | − | 3.80873i | 0.373496 | − | 0.121356i | ||||
\(986\) | −5.26041 | − | 3.82191i | −0.167526 | − | 0.121714i | ||||
\(987\) | −3.44212 | − | 3.40374i | −0.109564 | − | 0.108342i | ||||
\(988\) | −0.191906 | + | 0.590626i | −0.00610534 | + | 0.0187903i | ||||
\(989\) | 35.0565 | 1.11473 | ||||||||
\(990\) | 11.7686 | − | 4.47896i | 0.374030 | − | 0.142351i | ||||
\(991\) | −52.0302 | −1.65279 | −0.826396 | − | 0.563089i | \(-0.809613\pi\) | ||||
−0.826396 | + | 0.563089i | \(0.809613\pi\) | |||||||
\(992\) | −1.38692 | + | 4.26849i | −0.0440346 | + | 0.135525i | ||||
\(993\) | −6.19697 | − | 6.12788i | −0.196655 | − | 0.194462i | ||||
\(994\) | 5.08249 | + | 3.69264i | 0.161207 | + | 0.117124i | ||||
\(995\) | 23.0350 | − | 7.48452i | 0.730258 | − | 0.237275i | ||||
\(996\) | −15.0166 | + | 7.75767i | −0.475818 | + | 0.245811i | ||||
\(997\) | −21.6875 | + | 29.8502i | −0.686849 | + | 0.945366i | −0.999991 | − | 0.00433997i | \(-0.998619\pi\) |
0.313142 | + | 0.949706i | \(0.398619\pi\) | |||||||
\(998\) | 6.19831 | − | 4.50333i | 0.196204 | − | 0.142551i | ||||
\(999\) | 38.2430 | − | 6.71820i | 1.20996 | − | 0.212555i |
(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 | 462.2.w.a.365.10 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.b.365.6 | yes | 48 | ||
11.6 | odd | 10 | 462.2.w.b.281.6 | yes | 48 | ||
33.17 | even | 10 | inner | 462.2.w.a.281.10 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.10 | ✓ | 48 | 33.17 | even | 10 | inner | |
462.2.w.a.365.10 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.281.6 | yes | 48 | 11.6 | odd | 10 | ||
462.2.w.b.365.6 | yes | 48 | 3.2 | odd | 2 |