Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.12 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.12 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41221 | − | 0.0753205i | 0.998581 | − | 0.0532596i | ||||
\(3\) | 0.784482 | + | 0.452921i | 0.452921 | + | 0.261494i | 0.709063 | − | 0.705145i | \(-0.249118\pi\) |
−0.256142 | + | 0.966639i | \(0.582451\pi\) | |||||||
\(4\) | 1.98865 | − | 0.212736i | 0.994327 | − | 0.106368i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 1.14196 | + | 0.580530i | 0.466205 | + | 0.237001i | ||||
\(7\) | −1.23347 | + | 2.34063i | −0.466207 | + | 0.884676i | ||||
\(8\) | 2.79237 | − | 0.450214i | 0.987250 | − | 0.159175i | ||||
\(9\) | −1.08973 | − | 1.88746i | −0.363242 | − | 0.629153i | ||||
\(10\) | 0.771333 | + | 1.18535i | 0.243917 | + | 0.374839i | ||||
\(11\) | 0.620880 | − | 1.07539i | 0.187202 | − | 0.324244i | −0.757114 | − | 0.653283i | \(-0.773391\pi\) |
0.944316 | + | 0.329039i | \(0.106725\pi\) | |||||||
\(12\) | 1.65642 | + | 0.733815i | 0.478166 | + | 0.211834i | ||||
\(13\) | −4.31348 | −1.19634 | −0.598172 | − | 0.801368i | \(-0.704106\pi\) | ||||
−0.598172 | + | 0.801368i | \(0.704106\pi\) | |||||||
\(14\) | −1.56561 | + | 3.39836i | −0.418428 | + | 0.908250i | ||||
\(15\) | 0.905842i | 0.233887i | ||||||||
\(16\) | 3.90949 | − | 0.846117i | 0.977372 | − | 0.211529i | ||||
\(17\) | −1.49339 | − | 0.862209i | −0.362200 | − | 0.209116i | 0.307845 | − | 0.951436i | \(-0.400392\pi\) |
−0.670046 | + | 0.742320i | \(0.733725\pi\) | |||||||
\(18\) | −1.68108 | − | 2.58340i | −0.396235 | − | 0.608914i | ||||
\(19\) | 2.12801 | − | 1.22861i | 0.488198 | − | 0.281861i | −0.235628 | − | 0.971843i | \(-0.575715\pi\) |
0.723827 | + | 0.689982i | \(0.242382\pi\) | |||||||
\(20\) | 1.17856 | + | 1.61586i | 0.263534 | + | 0.361317i | ||||
\(21\) | −2.02775 | + | 1.27752i | −0.442492 | + | 0.278778i | ||||
\(22\) | 0.795811 | − | 1.56544i | 0.169667 | − | 0.333754i | ||||
\(23\) | 0.393079 | − | 0.226944i | 0.0819627 | − | 0.0473212i | −0.458459 | − | 0.888716i | \(-0.651598\pi\) |
0.540421 | + | 0.841395i | \(0.318265\pi\) | |||||||
\(24\) | 2.39447 | + | 0.911537i | 0.488770 | + | 0.186067i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −6.09152 | + | 0.324893i | −1.19465 | + | 0.0637168i | ||||
\(27\) | − | 4.69176i | − | 0.902930i | ||||||
\(28\) | −1.95500 | + | 4.91711i | −0.369461 | + | 0.929246i | ||||
\(29\) | − | 7.69695i | − | 1.42929i | −0.699488 | − | 0.714644i | \(-0.746589\pi\) | ||
0.699488 | − | 0.714644i | \(-0.253411\pi\) | |||||||
\(30\) | 0.0682284 | + | 1.27924i | 0.0124567 | + | 0.233555i | ||||
\(31\) | −0.133444 | + | 0.231133i | −0.0239673 | + | 0.0415126i | −0.877760 | − | 0.479100i | \(-0.840963\pi\) |
0.853793 | + | 0.520613i | \(0.174296\pi\) | |||||||
\(32\) | 5.45727 | − | 1.48936i | 0.964719 | − | 0.263283i | ||||
\(33\) | 0.974138 | − | 0.562419i | 0.169576 | − | 0.0979045i | ||||
\(34\) | −2.17392 | − | 1.10513i | −0.372824 | − | 0.189529i | ||||
\(35\) | −2.64378 | + | 0.102102i | −0.446880 | + | 0.0172584i | ||||
\(36\) | −2.56862 | − | 3.52168i | −0.428103 | − | 0.586947i | ||||
\(37\) | −4.24881 | + | 2.45305i | −0.698501 | + | 0.403280i | −0.806789 | − | 0.590840i | \(-0.798796\pi\) |
0.108288 | + | 0.994120i | \(0.465463\pi\) | |||||||
\(38\) | 2.91265 | − | 1.89533i | 0.472494 | − | 0.307463i | ||||
\(39\) | −3.38385 | − | 1.95367i | −0.541849 | − | 0.312837i | ||||
\(40\) | 1.78608 | + | 2.19315i | 0.282404 | + | 0.346768i | ||||
\(41\) | 12.2703i | 1.91630i | 0.286271 | + | 0.958149i | \(0.407584\pi\) | ||||
−0.286271 | + | 0.958149i | \(0.592416\pi\) | |||||||
\(42\) | −2.76738 | + | 1.95685i | −0.427017 | + | 0.301949i | ||||
\(43\) | 1.73856 | 0.265128 | 0.132564 | − | 0.991174i | \(-0.457679\pi\) | ||||
0.132564 | + | 0.991174i | \(0.457679\pi\) | |||||||
\(44\) | 1.00594 | − | 2.27067i | 0.151651 | − | 0.342317i | ||||
\(45\) | 1.08973 | − | 1.88746i | 0.162447 | − | 0.281366i | ||||
\(46\) | 0.538016 | − | 0.350099i | 0.0793261 | − | 0.0516193i | ||||
\(47\) | 5.37669 | + | 9.31270i | 0.784271 | + | 1.35840i | 0.929434 | + | 0.368990i | \(0.120296\pi\) |
−0.145162 | + | 0.989408i | \(0.546370\pi\) | |||||||
\(48\) | 3.45015 | + | 1.10693i | 0.497986 | + | 0.159771i | ||||
\(49\) | −3.95712 | − | 5.77419i | −0.565302 | − | 0.824884i | ||||
\(50\) | −0.640874 | + | 1.26067i | −0.0906332 | + | 0.178285i | ||||
\(51\) | −0.781025 | − | 1.35278i | −0.109365 | − | 0.189426i | ||||
\(52\) | −8.57802 | + | 0.917633i | −1.18956 | + | 0.127253i | ||||
\(53\) | −7.50728 | − | 4.33433i | −1.03120 | − | 0.595366i | −0.113875 | − | 0.993495i | \(-0.536326\pi\) |
−0.917329 | + | 0.398129i | \(0.869660\pi\) | |||||||
\(54\) | −0.353386 | − | 6.62574i | −0.0480897 | − | 0.901649i | ||||
\(55\) | 1.24176 | 0.167439 | ||||||||
\(56\) | −2.39051 | + | 7.09122i | −0.319445 | + | 0.947605i | ||||
\(57\) | 2.22584 | 0.294820 | ||||||||
\(58\) | −0.579738 | − | 10.8697i | −0.0761233 | − | 1.42726i | ||||
\(59\) | −4.83628 | − | 2.79223i | −0.629630 | − | 0.363517i | 0.150978 | − | 0.988537i | \(-0.451758\pi\) |
−0.780609 | + | 0.625020i | \(0.785091\pi\) | |||||||
\(60\) | 0.192705 | + | 1.80141i | 0.0248781 | + | 0.232560i | ||||
\(61\) | −0.462932 | − | 0.801822i | −0.0592724 | − | 0.102663i | 0.834867 | − | 0.550452i | \(-0.185545\pi\) |
−0.894139 | + | 0.447790i | \(0.852211\pi\) | |||||||
\(62\) | −0.171042 | + | 0.336458i | −0.0217224 | + | 0.0427302i | ||||
\(63\) | 5.76199 | − | 0.222526i | 0.725942 | − | 0.0280357i | ||||
\(64\) | 7.59462 | − | 2.51432i | 0.949327 | − | 0.314290i | ||||
\(65\) | −2.15674 | − | 3.73558i | −0.267511 | − | 0.463342i | ||||
\(66\) | 1.33332 | − | 0.867624i | 0.164121 | − | 0.106797i | ||||
\(67\) | 0.465968 | − | 0.807080i | 0.0569270 | − | 0.0986005i | −0.836158 | − | 0.548489i | \(-0.815203\pi\) |
0.893085 | + | 0.449889i | \(0.148536\pi\) | |||||||
\(68\) | −3.15326 | − | 1.39694i | −0.382389 | − | 0.169404i | ||||
\(69\) | 0.411152 | 0.0494968 | ||||||||
\(70\) | −3.72587 | + | 0.343320i | −0.445327 | + | 0.0410346i | ||||
\(71\) | 8.36052i | 0.992211i | 0.868262 | + | 0.496105i | \(0.165237\pi\) | ||||
−0.868262 | + | 0.496105i | \(0.834763\pi\) | |||||||
\(72\) | −3.89267 | − | 4.77987i | −0.458756 | − | 0.563313i | ||||
\(73\) | −6.21972 | − | 3.59095i | −0.727963 | − | 0.420289i | 0.0897137 | − | 0.995968i | \(-0.471405\pi\) |
−0.817676 | + | 0.575678i | \(0.804738\pi\) | |||||||
\(74\) | −5.81544 | + | 3.78424i | −0.676031 | + | 0.439909i | ||||
\(75\) | −0.784482 | + | 0.452921i | −0.0905842 | + | 0.0522988i | ||||
\(76\) | 3.97050 | − | 2.89597i | 0.455448 | − | 0.332191i | ||||
\(77\) | 1.75127 | + | 2.77972i | 0.199576 | + | 0.316778i | ||||
\(78\) | −4.92584 | − | 2.50411i | −0.557742 | − | 0.283534i | ||||
\(79\) | 9.56196 | − | 5.52060i | 1.07580 | − | 0.621116i | 0.146043 | − | 0.989278i | \(-0.453346\pi\) |
0.929762 | + | 0.368162i | \(0.120013\pi\) | |||||||
\(80\) | 2.68750 | + | 2.96266i | 0.300472 | + | 0.331235i | ||||
\(81\) | −1.14418 | + | 1.98177i | −0.127131 | + | 0.220197i | ||||
\(82\) | 0.924204 | + | 17.3282i | 0.102061 | + | 1.91358i | ||||
\(83\) | 8.49133i | 0.932045i | 0.884773 | + | 0.466022i | \(0.154313\pi\) | ||||
−0.884773 | + | 0.466022i | \(0.845687\pi\) | |||||||
\(84\) | −3.76073 | + | 2.97192i | −0.410329 | + | 0.324263i | ||||
\(85\) | − | 1.72442i | − | 0.187039i | ||||||
\(86\) | 2.45520 | − | 0.130949i | 0.264751 | − | 0.0141206i | ||||
\(87\) | 3.48611 | − | 6.03812i | 0.373750 | − | 0.647355i | ||||
\(88\) | 1.24957 | − | 3.28242i | 0.133204 | − | 0.349908i | ||||
\(89\) | −6.91420 | + | 3.99191i | −0.732903 | + | 0.423142i | −0.819483 | − | 0.573103i | \(-0.805740\pi\) |
0.0865800 | + | 0.996245i | \(0.472406\pi\) | |||||||
\(90\) | 1.39675 | − | 2.74756i | 0.147231 | − | 0.289618i | ||||
\(91\) | 5.32054 | − | 10.0963i | 0.557744 | − | 1.05838i | ||||
\(92\) | 0.733419 | − | 0.534936i | 0.0764643 | − | 0.0557709i | ||||
\(93\) | −0.209370 | + | 0.120880i | −0.0217106 | + | 0.0125346i | ||||
\(94\) | 8.29444 | + | 12.7465i | 0.855506 | + | 1.31470i | ||||
\(95\) | 2.12801 | + | 1.22861i | 0.218329 | + | 0.126052i | ||||
\(96\) | 4.95569 | + | 1.30334i | 0.505788 | + | 0.133022i | ||||
\(97\) | 3.92866i | 0.398895i | 0.979909 | + | 0.199447i | \(0.0639147\pi\) | ||||
−0.979909 | + | 0.199447i | \(0.936085\pi\) | |||||||
\(98\) | −6.02318 | − | 7.85629i | −0.608433 | − | 0.793605i | ||||
\(99\) | −2.70635 | −0.271999 | ||||||||
\(100\) | −0.810092 | + | 1.82859i | −0.0810092 | + | 0.182859i | ||||
\(101\) | 4.82944 | − | 8.36483i | 0.480547 | − | 0.832332i | −0.519204 | − | 0.854651i | \(-0.673771\pi\) |
0.999751 | + | 0.0223184i | \(0.00710474\pi\) | |||||||
\(102\) | −1.20486 | − | 1.85157i | −0.119299 | − | 0.183333i | ||||
\(103\) | 3.82962 | + | 6.63310i | 0.377344 | + | 0.653578i | 0.990675 | − | 0.136247i | \(-0.0435042\pi\) |
−0.613331 | + | 0.789826i | \(0.710171\pi\) | |||||||
\(104\) | −12.0448 | + | 1.94199i | −1.18109 | + | 0.190427i | ||||
\(105\) | −2.12024 | − | 1.11733i | −0.206914 | − | 0.109040i | ||||
\(106\) | −10.9283 | − | 5.55552i | −1.06145 | − | 0.539599i | ||||
\(107\) | 8.44757 | + | 14.6316i | 0.816657 | + | 1.41449i | 0.908132 | + | 0.418684i | \(0.137509\pi\) |
−0.0914746 | + | 0.995807i | \(0.529158\pi\) | |||||||
\(108\) | −0.998107 | − | 9.33029i | −0.0960429 | − | 0.897808i | ||||
\(109\) | −7.93420 | − | 4.58081i | −0.759959 | − | 0.438762i | 0.0693221 | − | 0.997594i | \(-0.477916\pi\) |
−0.829281 | + | 0.558832i | \(0.811250\pi\) | |||||||
\(110\) | 1.75362 | − | 0.0935299i | 0.167201 | − | 0.00891772i | ||||
\(111\) | −4.44416 | −0.421821 | ||||||||
\(112\) | −2.84178 | + | 10.1943i | −0.268523 | + | 0.963273i | ||||
\(113\) | 20.4047 | 1.91952 | 0.959758 | − | 0.280829i | \(-0.0906094\pi\) | ||||
0.959758 | + | 0.280829i | \(0.0906094\pi\) | |||||||
\(114\) | 3.14335 | − | 0.167652i | 0.294402 | − | 0.0157020i | ||||
\(115\) | 0.393079 | + | 0.226944i | 0.0366548 | + | 0.0211627i | ||||
\(116\) | −1.63742 | − | 15.3066i | −0.152031 | − | 1.42118i | ||||
\(117\) | 4.70051 | + | 8.14152i | 0.434562 | + | 0.752684i | ||||
\(118\) | −7.04014 | − | 3.57893i | −0.648098 | − | 0.329468i | ||||
\(119\) | 3.86016 | − | 2.43197i | 0.353861 | − | 0.222938i | ||||
\(120\) | 0.407822 | + | 2.52944i | 0.0372289 | + | 0.230905i | ||||
\(121\) | 4.72902 | + | 8.19090i | 0.429911 | + | 0.744627i | ||||
\(122\) | −0.714149 | − | 1.09747i | −0.0646560 | − | 0.0993602i | ||||
\(123\) | −5.55747 | + | 9.62582i | −0.501100 | + | 0.867931i | ||||
\(124\) | −0.216205 | + | 0.488031i | −0.0194157 | + | 0.0438265i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 8.12036 | − | 0.748248i | 0.723419 | − | 0.0666593i | ||||
\(127\) | − | 5.18278i | − | 0.459897i | −0.973203 | − | 0.229949i | \(-0.926144\pi\) | ||
0.973203 | − | 0.229949i | \(-0.0738558\pi\) | |||||||
\(128\) | 10.5358 | − | 4.12277i | 0.931241 | − | 0.364405i | ||||
\(129\) | 1.36387 | + | 0.787430i | 0.120082 | + | 0.0693293i | ||||
\(130\) | −3.32713 | − | 5.11297i | −0.291808 | − | 0.448437i | ||||
\(131\) | 11.7551 | − | 6.78684i | 1.02705 | − | 0.592969i | 0.110913 | − | 0.993830i | \(-0.464622\pi\) |
0.916139 | + | 0.400861i | \(0.131289\pi\) | |||||||
\(132\) | 1.81758 | − | 1.32569i | 0.158200 | − | 0.115387i | ||||
\(133\) | 0.250886 | + | 6.49633i | 0.0217546 | + | 0.563303i | ||||
\(134\) | 0.597253 | − | 1.17486i | 0.0515948 | − | 0.101492i | ||||
\(135\) | 4.06319 | − | 2.34588i | 0.349703 | − | 0.201901i | ||||
\(136\) | −4.55827 | − | 1.73526i | −0.390869 | − | 0.148797i | ||||
\(137\) | −6.46913 | + | 11.2049i | −0.552695 | + | 0.957296i | 0.445384 | + | 0.895340i | \(0.353067\pi\) |
−0.998079 | + | 0.0619561i | \(0.980266\pi\) | |||||||
\(138\) | 0.580631 | − | 0.0309681i | 0.0494266 | − | 0.00263618i | ||||
\(139\) | − | 17.8027i | − | 1.51001i | −0.655720 | − | 0.755004i | \(-0.727635\pi\) | ||
0.655720 | − | 0.755004i | \(-0.272365\pi\) | |||||||
\(140\) | −5.23584 | + | 0.765473i | −0.442509 | + | 0.0646943i | ||||
\(141\) | 9.74087i | 0.820329i | ||||||||
\(142\) | 0.629718 | + | 11.8068i | 0.0528448 | + | 0.990803i | ||||
\(143\) | −2.67815 | + | 4.63869i | −0.223958 | + | 0.387907i | ||||
\(144\) | −5.85728 | − | 6.45696i | −0.488106 | − | 0.538080i | ||||
\(145\) | 6.66576 | − | 3.84848i | 0.553561 | − | 0.319599i | ||||
\(146\) | −9.05399 | − | 4.60270i | −0.749314 | − | 0.380922i | ||||
\(147\) | −0.489037 | − | 6.32201i | −0.0403351 | − | 0.521430i | ||||
\(148\) | −7.92757 | + | 5.78215i | −0.651642 | + | 0.475290i | ||||
\(149\) | 12.7146 | − | 7.34080i | 1.04162 | − | 0.601382i | 0.121331 | − | 0.992612i | \(-0.461284\pi\) |
0.920293 | + | 0.391230i | \(0.127950\pi\) | |||||||
\(150\) | −1.07374 | + | 0.698705i | −0.0876702 | + | 0.0570491i | ||||
\(151\) | −14.9018 | − | 8.60359i | −1.21270 | − | 0.700150i | −0.249350 | − | 0.968414i | \(-0.580217\pi\) |
−0.963346 | + | 0.268264i | \(0.913550\pi\) | |||||||
\(152\) | 5.38904 | − | 4.38877i | 0.437109 | − | 0.355977i | ||||
\(153\) | 3.75829i | 0.303839i | ||||||||
\(154\) | 2.68252 | + | 3.79362i | 0.216164 | + | 0.305699i | ||||
\(155\) | −0.266889 | −0.0214370 | ||||||||
\(156\) | −7.14492 | − | 3.16530i | −0.572051 | − | 0.253427i | ||||
\(157\) | 5.35139 | − | 9.26887i | 0.427087 | − | 0.739737i | −0.569526 | − | 0.821974i | \(-0.692873\pi\) |
0.996613 | + | 0.0822369i | \(0.0262064\pi\) | |||||||
\(158\) | 13.0876 | − | 8.51644i | 1.04120 | − | 0.677531i | ||||
\(159\) | −3.92622 | − | 6.80041i | −0.311369 | − | 0.539307i | ||||
\(160\) | 4.01846 | + | 3.98146i | 0.317687 | + | 0.314762i | ||||
\(161\) | 0.0463429 | + | 1.19998i | 0.00365233 | + | 0.0945719i | ||||
\(162\) | −1.46655 | + | 2.88485i | −0.115223 | + | 0.226655i | ||||
\(163\) | 12.5462 | + | 21.7307i | 0.982696 | + | 1.70208i | 0.651760 | + | 0.758426i | \(0.274031\pi\) |
0.330936 | + | 0.943653i | \(0.392636\pi\) | |||||||
\(164\) | 2.61033 | + | 24.4014i | 0.203833 | + | 1.90543i | ||||
\(165\) | 0.974138 | + | 0.562419i | 0.0758365 | + | 0.0437842i | ||||
\(166\) | 0.639571 | + | 11.9915i | 0.0496403 | + | 0.930722i | ||||
\(167\) | −6.43113 | −0.497656 | −0.248828 | − | 0.968548i | \(-0.580045\pi\) | ||||
−0.248828 | + | 0.968548i | \(0.580045\pi\) | |||||||
\(168\) | −5.08708 | + | 4.48023i | −0.392476 | + | 0.345657i | ||||
\(169\) | 5.60611 | 0.431239 | ||||||||
\(170\) | −0.129884 | − | 2.43524i | −0.00996165 | − | 0.186774i | ||||
\(171\) | −4.63789 | − | 2.67768i | −0.354668 | − | 0.204768i | ||||
\(172\) | 3.45739 | − | 0.369854i | 0.263624 | − | 0.0282011i | ||||
\(173\) | 1.08576 | + | 1.88059i | 0.0825486 | + | 0.142978i | 0.904344 | − | 0.426804i | \(-0.140361\pi\) |
−0.821795 | + | 0.569783i | \(0.807027\pi\) | |||||||
\(174\) | 4.46831 | − | 8.78965i | 0.338742 | − | 0.666342i | ||||
\(175\) | −1.41031 | − | 2.23853i | −0.106610 | − | 0.169217i | ||||
\(176\) | 1.51741 | − | 4.72958i | 0.114379 | − | 0.356505i | ||||
\(177\) | −2.52932 | − | 4.38091i | −0.190115 | − | 0.329289i | ||||
\(178\) | −9.46360 | + | 6.15819i | −0.709327 | + | 0.461576i | ||||
\(179\) | −11.3858 | + | 19.7209i | −0.851018 | + | 1.47401i | 0.0292733 | + | 0.999571i | \(0.490681\pi\) |
−0.880291 | + | 0.474434i | \(0.842653\pi\) | |||||||
\(180\) | 1.76556 | − | 3.98533i | 0.131597 | − | 0.297049i | ||||
\(181\) | 20.2848 | 1.50776 | 0.753879 | − | 0.657013i | \(-0.228180\pi\) | ||||
0.753879 | + | 0.657013i | \(0.228180\pi\) | |||||||
\(182\) | 6.75324 | − | 14.6588i | 0.500583 | − | 1.08658i | ||||
\(183\) | − | 0.838686i | − | 0.0619975i | ||||||
\(184\) | 0.995448 | − | 0.810682i | 0.0733854 | − | 0.0597642i | ||||
\(185\) | −4.24881 | − | 2.45305i | −0.312379 | − | 0.180352i | ||||
\(186\) | −0.286568 | + | 0.186477i | −0.0210122 | + | 0.0136731i | ||||
\(187\) | −1.85443 | + | 1.07066i | −0.135609 | + | 0.0782941i | ||||
\(188\) | 12.6735 | + | 17.3759i | 0.924312 | + | 1.26727i | ||||
\(189\) | 10.9817 | + | 5.78714i | 0.798801 | + | 0.420952i | ||||
\(190\) | 3.09772 | + | 1.57476i | 0.224733 | + | 0.114245i | ||||
\(191\) | 1.45879 | − | 0.842233i | 0.105554 | − | 0.0609419i | −0.446293 | − | 0.894887i | \(-0.647256\pi\) |
0.551848 | + | 0.833945i | \(0.313923\pi\) | |||||||
\(192\) | 7.09663 | + | 1.46732i | 0.512155 | + | 0.105895i | ||||
\(193\) | 12.3298 | − | 21.3558i | 0.887517 | − | 1.53722i | 0.0447160 | − | 0.999000i | \(-0.485762\pi\) |
0.842801 | − | 0.538225i | \(-0.180905\pi\) | |||||||
\(194\) | 0.295908 | + | 5.54808i | 0.0212450 | + | 0.398329i | ||||
\(195\) | − | 3.90733i | − | 0.279810i | ||||||
\(196\) | −9.09771 | − | 10.6410i | −0.649837 | − | 0.760074i | ||||
\(197\) | 1.66437i | 0.118582i | 0.998241 | + | 0.0592908i | \(0.0188839\pi\) | ||||
−0.998241 | + | 0.0592908i | \(0.981116\pi\) | |||||||
\(198\) | −3.82193 | + | 0.203844i | −0.271613 | + | 0.0144865i | ||||
\(199\) | 6.39700 | − | 11.0799i | 0.453471 | − | 0.785435i | −0.545128 | − | 0.838353i | \(-0.683519\pi\) |
0.998599 | + | 0.0529181i | \(0.0168522\pi\) | |||||||
\(200\) | −1.00629 | + | 2.64337i | −0.0711552 | + | 0.186914i | ||||
\(201\) | 0.731087 | − | 0.422093i | 0.0515669 | − | 0.0297721i | ||||
\(202\) | 6.19012 | − | 12.1766i | 0.435535 | − | 0.856745i | ||||
\(203\) | 18.0157 | + | 9.49394i | 1.26446 | + | 0.666344i | ||||
\(204\) | −1.84097 | − | 2.52405i | −0.128894 | − | 0.176719i | ||||
\(205\) | −10.6264 | + | 6.13515i | −0.742179 | + | 0.428497i | ||||
\(206\) | 5.90782 | + | 9.07885i | 0.411617 | + | 0.632554i | ||||
\(207\) | −0.856697 | − | 0.494614i | −0.0595446 | − | 0.0343781i | ||||
\(208\) | −16.8635 | + | 3.64971i | −1.16927 | + | 0.253062i | ||||
\(209\) | − | 3.05126i | − | 0.211060i | ||||||
\(210\) | −3.07838 | − | 1.41820i | −0.212428 | − | 0.0978650i | ||||
\(211\) | −16.8109 | −1.15731 | −0.578655 | − | 0.815573i | \(-0.696422\pi\) | ||||
−0.578655 | + | 0.815573i | \(0.696422\pi\) | |||||||
\(212\) | −15.8514 | − | 7.02241i | −1.08868 | − | 0.482301i | ||||
\(213\) | −3.78665 | + | 6.55868i | −0.259457 | + | 0.449393i | ||||
\(214\) | 13.0318 | + | 20.0266i | 0.890833 | + | 1.36899i | ||||
\(215\) | 0.869279 | + | 1.50564i | 0.0592844 | + | 0.102684i | ||||
\(216\) | −2.11230 | − | 13.1011i | −0.143723 | − | 0.891418i | ||||
\(217\) | −0.376397 | − | 0.597439i | −0.0255515 | − | 0.0405568i | ||||
\(218\) | −11.5498 | − | 5.87145i | −0.782249 | − | 0.397665i | ||||
\(219\) | −3.25284 | − | 5.63408i | −0.219806 | − | 0.380716i | ||||
\(220\) | 2.46943 | − | 0.264167i | 0.166489 | − | 0.0178101i | ||||
\(221\) | 6.44171 | + | 3.71912i | 0.433316 | + | 0.250175i | ||||
\(222\) | −6.27607 | + | 0.334736i | −0.421222 | + | 0.0224660i | ||||
\(223\) | −23.8692 | −1.59840 | −0.799200 | − | 0.601065i | \(-0.794743\pi\) | ||||
−0.799200 | + | 0.601065i | \(0.794743\pi\) | |||||||
\(224\) | −3.24533 | + | 14.6105i | −0.216838 | + | 0.976208i | ||||
\(225\) | 2.17945 | 0.145297 | ||||||||
\(226\) | 28.8157 | − | 1.53689i | 1.91679 | − | 0.102233i | ||||
\(227\) | −6.71810 | − | 3.87870i | −0.445896 | − | 0.257438i | 0.260199 | − | 0.965555i | \(-0.416212\pi\) |
−0.706095 | + | 0.708117i | \(0.749545\pi\) | |||||||
\(228\) | 4.42643 | − | 0.473517i | 0.293148 | − | 0.0313595i | ||||
\(229\) | 2.45190 | + | 4.24681i | 0.162026 | + | 0.280637i | 0.935595 | − | 0.353075i | \(-0.114864\pi\) |
−0.773569 | + | 0.633712i | \(0.781530\pi\) | |||||||
\(230\) | 0.572203 | + | 0.290885i | 0.0377299 | + | 0.0191804i | ||||
\(231\) | 0.114848 | + | 2.97382i | 0.00755645 | + | 0.195663i | ||||
\(232\) | −3.46527 | − | 21.4927i | −0.227506 | − | 1.41107i | ||||
\(233\) | −8.58535 | − | 14.8703i | −0.562445 | − | 0.974183i | −0.997282 | − | 0.0736741i | \(-0.976528\pi\) |
0.434838 | − | 0.900509i | \(-0.356806\pi\) | |||||||
\(234\) | 7.25131 | + | 11.1435i | 0.474033 | + | 0.728471i | ||||
\(235\) | −5.37669 | + | 9.31270i | −0.350737 | + | 0.607494i | ||||
\(236\) | −10.2117 | − | 4.52393i | −0.664725 | − | 0.294482i | ||||
\(237\) | 10.0016 | 0.649673 | ||||||||
\(238\) | 5.26817 | − | 3.72519i | 0.341485 | − | 0.241468i | ||||
\(239\) | 22.5691i | 1.45987i | 0.683516 | + | 0.729935i | \(0.260450\pi\) | ||||
−0.683516 | + | 0.729935i | \(0.739550\pi\) | |||||||
\(240\) | 0.766448 | + | 3.54138i | 0.0494740 | + | 0.228595i | ||||
\(241\) | −2.49414 | − | 1.43999i | −0.160662 | − | 0.0927580i | 0.417514 | − | 0.908671i | \(-0.362902\pi\) |
−0.578175 | + | 0.815913i | \(0.696235\pi\) | |||||||
\(242\) | 7.29529 | + | 11.2110i | 0.468959 | + | 0.720673i | ||||
\(243\) | −13.9847 | + | 8.07409i | −0.897121 | + | 0.517953i | ||||
\(244\) | −1.09119 | − | 1.49606i | −0.0698561 | − | 0.0957756i | ||||
\(245\) | 3.02203 | − | 6.31406i | 0.193071 | − | 0.403390i | ||||
\(246\) | −7.12328 | + | 14.0122i | −0.454163 | + | 0.893388i | ||||
\(247\) | −9.17911 | + | 5.29956i | −0.584053 | + | 0.337203i | ||||
\(248\) | −0.268567 | + | 0.705485i | −0.0170540 | + | 0.0447983i | ||||
\(249\) | −3.84590 | + | 6.66130i | −0.243724 | + | 0.422143i | ||||
\(250\) | −1.41221 | + | 0.0753205i | −0.0893158 | + | 0.00476368i | ||||
\(251\) | − | 12.3739i | − | 0.781034i | −0.920596 | − | 0.390517i | \(-0.872296\pi\) | ||
0.920596 | − | 0.390517i | \(-0.127704\pi\) | |||||||
\(252\) | 11.4113 | − | 1.66831i | 0.718842 | − | 0.105094i | ||||
\(253\) | − | 0.563621i | − | 0.0354345i | ||||||
\(254\) | −0.390369 | − | 7.31915i | −0.0244939 | − | 0.459245i | ||||
\(255\) | 0.781025 | − | 1.35278i | 0.0489097 | − | 0.0847141i | ||||
\(256\) | 14.5682 | − | 6.61576i | 0.910511 | − | 0.413485i | ||||
\(257\) | 4.89750 | − | 2.82758i | 0.305498 | − | 0.176379i | −0.339412 | − | 0.940638i | \(-0.610228\pi\) |
0.644910 | + | 0.764258i | \(0.276895\pi\) | |||||||
\(258\) | 1.98537 | + | 1.00929i | 0.123604 | + | 0.0628354i | ||||
\(259\) | −0.500923 | − | 12.9707i | −0.0311259 | − | 0.805959i | ||||
\(260\) | −5.08370 | − | 6.96996i | −0.315278 | − | 0.432259i | ||||
\(261\) | −14.5277 | + | 8.38756i | −0.899241 | + | 0.519177i | ||||
\(262\) | 16.0895 | − | 10.4698i | 0.994013 | − | 0.646828i | ||||
\(263\) | 8.62649 | + | 4.98051i | 0.531932 | + | 0.307111i | 0.741803 | − | 0.670618i | \(-0.233971\pi\) |
−0.209871 | + | 0.977729i | \(0.567304\pi\) | |||||||
\(264\) | 2.46694 | − | 2.00905i | 0.151830 | − | 0.123648i | ||||
\(265\) | − | 8.66866i | − | 0.532511i | ||||||
\(266\) | 0.843609 | + | 9.15526i | 0.0517250 | + | 0.561345i | ||||
\(267\) | −7.23208 | −0.442596 | ||||||||
\(268\) | 0.754953 | − | 1.70413i | 0.0461161 | − | 0.104096i | ||||
\(269\) | −9.77791 | + | 16.9358i | −0.596170 | + | 1.03260i | 0.397211 | + | 0.917727i | \(0.369978\pi\) |
−0.993381 | + | 0.114869i | \(0.963355\pi\) | |||||||
\(270\) | 5.56136 | − | 3.61891i | 0.338454 | − | 0.220240i | ||||
\(271\) | −16.1219 | − | 27.9240i | −0.979336 | − | 1.69626i | −0.664814 | − | 0.747009i | \(-0.731489\pi\) |
−0.314522 | − | 0.949250i | \(-0.601844\pi\) | |||||||
\(272\) | −6.56792 | − | 2.10721i | −0.398239 | − | 0.127769i | ||||
\(273\) | 8.74668 | − | 5.51056i | 0.529373 | − | 0.333514i | ||||
\(274\) | −8.29179 | + | 16.3108i | −0.500925 | + | 0.985373i | ||||
\(275\) | 0.620880 | + | 1.07539i | 0.0374404 | + | 0.0648488i | ||||
\(276\) | 0.817638 | − | 0.0874668i | 0.0492160 | − | 0.00526488i | ||||
\(277\) | −15.3351 | − | 8.85371i | −0.921396 | − | 0.531968i | −0.0373155 | − | 0.999304i | \(-0.511881\pi\) |
−0.884080 | + | 0.467336i | \(0.845214\pi\) | |||||||
\(278\) | −1.34091 | − | 25.1411i | −0.0804224 | − | 1.50786i | ||||
\(279\) | 0.581671 | 0.0348237 | ||||||||
\(280\) | −7.33643 | + | 1.47537i | −0.438436 | + | 0.0881703i | ||||
\(281\) | −4.02367 | −0.240032 | −0.120016 | − | 0.992772i | \(-0.538295\pi\) | ||||
−0.120016 | + | 0.992772i | \(0.538295\pi\) | |||||||
\(282\) | 0.733686 | + | 13.7561i | 0.0436904 | + | 0.819165i | ||||
\(283\) | −16.4300 | − | 9.48585i | −0.976661 | − | 0.563875i | −0.0754004 | − | 0.997153i | \(-0.524023\pi\) |
−0.901260 | + | 0.433278i | \(0.857357\pi\) | |||||||
\(284\) | 1.77858 | + | 16.6262i | 0.105540 | + | 0.986582i | ||||
\(285\) | 1.11292 | + | 1.92764i | 0.0659238 | + | 0.114183i | ||||
\(286\) | −3.43271 | + | 6.75251i | −0.202981 | + | 0.399284i | ||||
\(287\) | −28.7202 | − | 15.1350i | −1.69530 | − | 0.893391i | ||||
\(288\) | −8.75803 | − | 8.67739i | −0.516072 | − | 0.511320i | ||||
\(289\) | −7.01319 | − | 12.1472i | −0.412541 | − | 0.714541i | ||||
\(290\) | 9.12356 | − | 5.93691i | 0.535754 | − | 0.348627i | ||||
\(291\) | −1.77937 | + | 3.08196i | −0.104309 | + | 0.180668i | ||||
\(292\) | −13.1328 | − | 5.81801i | −0.768538 | − | 0.340473i | ||||
\(293\) | −10.3847 | −0.606678 | −0.303339 | − | 0.952883i | \(-0.598101\pi\) | ||||
−0.303339 | + | 0.952883i | \(0.598101\pi\) | |||||||
\(294\) | −1.16680 | − | 8.89114i | −0.0680490 | − | 0.518542i | ||||
\(295\) | − | 5.58446i | − | 0.325140i | ||||||
\(296\) | −10.7598 | + | 8.76270i | −0.625403 | + | 0.509322i | ||||
\(297\) | −5.04550 | − | 2.91302i | −0.292770 | − | 0.169031i | ||||
\(298\) | 17.4028 | − | 11.3244i | 1.00812 | − | 0.656005i | ||||
\(299\) | −1.69554 | + | 0.978920i | −0.0980556 | + | 0.0566124i | ||||
\(300\) | −1.46371 | + | 1.06759i | −0.0845074 | + | 0.0616374i | ||||
\(301\) | −2.14446 | + | 4.06933i | −0.123604 | + | 0.234552i | ||||
\(302\) | −21.6925 | − | 11.0276i | −1.24826 | − | 0.634569i | ||||
\(303\) | 7.57722 | − | 4.37471i | 0.435300 | − | 0.251320i | ||||
\(304\) | 7.27987 | − | 6.60376i | 0.417529 | − | 0.378752i | ||||
\(305\) | 0.462932 | − | 0.801822i | 0.0265074 | − | 0.0459122i | ||||
\(306\) | 0.283076 | + | 5.30747i | 0.0161824 | + | 0.303408i | ||||
\(307\) | − | 21.4468i | − | 1.22403i | −0.790846 | − | 0.612015i | \(-0.790359\pi\) | ||
0.790846 | − | 0.612015i | \(-0.209641\pi\) | |||||||
\(308\) | 4.07401 | + | 5.15533i | 0.232138 | + | 0.293752i | ||||
\(309\) | 6.93806i | 0.394692i | ||||||||
\(310\) | −0.376902 | + | 0.0201022i | −0.0214066 | + | 0.00114173i | ||||
\(311\) | −3.97738 | + | 6.88902i | −0.225536 | + | 0.390641i | −0.956480 | − | 0.291797i | \(-0.905747\pi\) |
0.730944 | + | 0.682438i | \(0.239080\pi\) | |||||||
\(312\) | −10.3285 | − | 3.93189i | −0.584737 | − | 0.222600i | ||||
\(313\) | −9.04094 | + | 5.21979i | −0.511024 | + | 0.295040i | −0.733255 | − | 0.679954i | \(-0.762000\pi\) |
0.222230 | + | 0.974994i | \(0.428666\pi\) | |||||||
\(314\) | 6.85913 | − | 13.4926i | 0.387083 | − | 0.761433i | ||||
\(315\) | 3.07371 | + | 4.87877i | 0.173184 | + | 0.274887i | ||||
\(316\) | 17.8410 | − | 13.0127i | 1.00363 | − | 0.732024i | ||||
\(317\) | 5.86432 | − | 3.38576i | 0.329373 | − | 0.190163i | −0.326190 | − | 0.945304i | \(-0.605765\pi\) |
0.655563 | + | 0.755141i | \(0.272432\pi\) | |||||||
\(318\) | −6.05684 | − | 9.30785i | −0.339651 | − | 0.521959i | ||||
\(319\) | −8.27726 | − | 4.77888i | −0.463438 | − | 0.267566i | ||||
\(320\) | 5.97477 | + | 5.31997i | 0.334000 | + | 0.297395i | ||||
\(321\) | 15.3043i | 0.854204i | ||||||||
\(322\) | 0.155829 | + | 1.69113i | 0.00868401 | + | 0.0942431i | ||||
\(323\) | −4.23726 | −0.235767 | ||||||||
\(324\) | −1.85378 | + | 4.18447i | −0.102988 | + | 0.232471i | ||||
\(325\) | 2.15674 | − | 3.73558i | 0.119634 | − | 0.207213i | ||||
\(326\) | 19.3546 | + | 29.7432i | 1.07195 | + | 1.64733i | ||||
\(327\) | −4.14949 | − | 7.18713i | −0.229468 | − | 0.397449i | ||||
\(328\) | 5.52425 | + | 34.2631i | 0.305026 | + | 1.89187i | ||||
\(329\) | −28.4296 | + | 1.09794i | −1.56737 | + | 0.0605315i | ||||
\(330\) | 1.41805 | + | 0.720879i | 0.0780608 | + | 0.0396831i | ||||
\(331\) | 5.59806 | + | 9.69613i | 0.307697 | + | 0.532947i | 0.977858 | − | 0.209268i | \(-0.0671083\pi\) |
−0.670161 | + | 0.742216i | \(0.733775\pi\) | |||||||
\(332\) | 1.80641 | + | 16.8863i | 0.0991398 | + | 0.926757i | ||||
\(333\) | 9.26008 | + | 5.34631i | 0.507449 | + | 0.292976i | ||||
\(334\) | −9.08209 | + | 0.484396i | −0.496950 | + | 0.0265050i | ||||
\(335\) | 0.931935 | 0.0509171 | ||||||||
\(336\) | −6.84655 | + | 6.71017i | −0.373510 | + | 0.366070i | ||||
\(337\) | 24.4910 | 1.33411 | 0.667055 | − | 0.745008i | \(-0.267554\pi\) | ||||
0.667055 | + | 0.745008i | \(0.267554\pi\) | |||||||
\(338\) | 7.91698 | − | 0.422254i | 0.430627 | − | 0.0229676i | ||||
\(339\) | 16.0071 | + | 9.24173i | 0.869389 | + | 0.501942i | ||||
\(340\) | −0.366846 | − | 3.42927i | −0.0198950 | − | 0.185978i | ||||
\(341\) | 0.165706 | + | 0.287011i | 0.00897347 | + | 0.0155425i | ||||
\(342\) | −6.75134 | − | 3.43212i | −0.365070 | − | 0.185588i | ||||
\(343\) | 18.3962 | − | 2.13988i | 0.993303 | − | 0.115543i | ||||
\(344\) | 4.85469 | − | 0.782723i | 0.261748 | − | 0.0422016i | ||||
\(345\) | 0.205576 | + | 0.356068i | 0.0110678 | + | 0.0191700i | ||||
\(346\) | 1.67496 | + | 2.57400i | 0.0900464 | + | 0.138379i | ||||
\(347\) | 8.21166 | − | 14.2230i | 0.440825 | − | 0.763531i | −0.556926 | − | 0.830562i | \(-0.688019\pi\) |
0.997751 | + | 0.0670312i | \(0.0213527\pi\) | |||||||
\(348\) | 5.64814 | − | 12.7494i | 0.302772 | − | 0.683437i | ||||
\(349\) | 0.191603 | 0.0102563 | 0.00512813 | − | 0.999987i | \(-0.498368\pi\) | ||||
0.00512813 | + | 0.999987i | \(0.498368\pi\) | |||||||
\(350\) | −2.16026 | − | 3.05504i | −0.115471 | − | 0.163299i | ||||
\(351\) | 20.2378i | 1.08022i | ||||||||
\(352\) | 1.78666 | − | 6.79343i | 0.0952295 | − | 0.362091i | ||||
\(353\) | −19.3579 | − | 11.1763i | −1.03032 | − | 0.594854i | −0.113241 | − | 0.993568i | \(-0.536123\pi\) |
−0.917075 | + | 0.398714i | \(0.869457\pi\) | |||||||
\(354\) | −3.90189 | − | 5.99624i | −0.207383 | − | 0.318696i | ||||
\(355\) | −7.24042 | + | 4.18026i | −0.384282 | + | 0.221865i | ||||
\(356\) | −12.9007 | + | 9.40943i | −0.683737 | + | 0.498699i | ||||
\(357\) | 4.12972 | − | 0.159488i | 0.218568 | − | 0.00844102i | ||||
\(358\) | −14.5938 | + | 28.7075i | −0.771305 | + | 1.51724i | ||||
\(359\) | −20.4748 | + | 11.8211i | −1.08062 | + | 0.623896i | −0.931064 | − | 0.364857i | \(-0.881118\pi\) |
−0.149556 | + | 0.988753i | \(0.547784\pi\) | |||||||
\(360\) | 2.19315 | − | 5.76109i | 0.115589 | − | 0.303636i | ||||
\(361\) | −6.48106 | + | 11.2255i | −0.341108 | + | 0.590817i | ||||
\(362\) | 28.6463 | − | 1.52786i | 1.50562 | − | 0.0803026i | ||||
\(363\) | 8.56748i | 0.449676i | ||||||||
\(364\) | 8.43286 | − | 21.2099i | 0.442002 | − | 1.11170i | ||||
\(365\) | − | 7.18191i | − | 0.375918i | ||||||
\(366\) | −0.0631702 | − | 1.18440i | −0.00330196 | − | 0.0619095i | ||||
\(367\) | 9.00124 | − | 15.5906i | 0.469861 | − | 0.813823i | −0.529545 | − | 0.848282i | \(-0.677637\pi\) |
0.999406 | + | 0.0344586i | \(0.0109707\pi\) | |||||||
\(368\) | 1.34472 | − | 1.21983i | 0.0700982 | − | 0.0635879i | ||||
\(369\) | 23.1597 | − | 13.3712i | 1.20564 | − | 0.696079i | ||||
\(370\) | −6.18497 | − | 3.14420i | −0.321541 | − | 0.163459i | ||||
\(371\) | 19.4051 | − | 12.2255i | 1.00746 | − | 0.634717i | ||||
\(372\) | −0.390648 | + | 0.284928i | −0.0202542 | + | 0.0147728i | ||||
\(373\) | −21.5700 | + | 12.4535i | −1.11685 | + | 0.644815i | −0.940596 | − | 0.339529i | \(-0.889732\pi\) |
−0.176257 | + | 0.984344i | \(0.556399\pi\) | |||||||
\(374\) | −2.53820 | + | 1.65166i | −0.131247 | + | 0.0854055i | ||||
\(375\) | −0.784482 | − | 0.452921i | −0.0405105 | − | 0.0233887i | ||||
\(376\) | 19.2064 | + | 23.5838i | 0.990494 | + | 1.21624i | ||||
\(377\) | 33.2006i | 1.70992i | ||||||||
\(378\) | 15.9443 | + | 7.34549i | 0.820087 | + | 0.377811i | ||||
\(379\) | 3.91557 | 0.201130 | 0.100565 | − | 0.994931i | \(-0.467935\pi\) | ||||
0.100565 | + | 0.994931i | \(0.467935\pi\) | |||||||
\(380\) | 4.49324 | + | 1.99057i | 0.230498 | + | 0.102114i | ||||
\(381\) | 2.34739 | − | 4.06580i | 0.120260 | − | 0.208297i | ||||
\(382\) | 1.99668 | − | 1.29928i | 0.102159 | − | 0.0664772i | ||||
\(383\) | 8.27193 | + | 14.3274i | 0.422676 | + | 0.732096i | 0.996200 | − | 0.0870922i | \(-0.0277575\pi\) |
−0.573524 | + | 0.819189i | \(0.694424\pi\) | |||||||
\(384\) | 10.1324 | + | 1.53764i | 0.517068 | + | 0.0784672i | ||||
\(385\) | −1.53167 | + | 2.90650i | −0.0780611 | + | 0.148129i | ||||
\(386\) | 15.8037 | − | 31.0875i | 0.804386 | − | 1.58231i | ||||
\(387\) | −1.89455 | − | 3.28146i | −0.0963055 | − | 0.166806i | ||||
\(388\) | 0.835768 | + | 7.81274i | 0.0424297 | + | 0.396632i | ||||
\(389\) | 17.8537 | + | 10.3078i | 0.905219 | + | 0.522628i | 0.878890 | − | 0.477025i | \(-0.158285\pi\) |
0.0263290 | + | 0.999653i | \(0.491618\pi\) | |||||||
\(390\) | −0.294302 | − | 5.51796i | −0.0149026 | − | 0.279413i | ||||
\(391\) | −0.782695 | −0.0395826 | ||||||||
\(392\) | −13.6493 | − | 14.3421i | −0.689395 | − | 0.724385i | ||||
\(393\) | 12.2956 | 0.620231 | ||||||||
\(394\) | 0.125361 | + | 2.35044i | 0.00631561 | + | 0.118413i | ||||
\(395\) | 9.56196 | + | 5.52060i | 0.481114 | + | 0.277772i | ||||
\(396\) | −5.38200 | + | 0.575739i | −0.270456 | + | 0.0289320i | ||||
\(397\) | −9.45979 | − | 16.3848i | −0.474773 | − | 0.822332i | 0.524809 | − | 0.851220i | \(-0.324137\pi\) |
−0.999583 | + | 0.0288882i | \(0.990803\pi\) | |||||||
\(398\) | 8.19933 | − | 16.1290i | 0.410995 | − | 0.808472i | ||||
\(399\) | −2.74551 | + | 5.20988i | −0.137447 | + | 0.260820i | ||||
\(400\) | −1.22198 | + | 3.80877i | −0.0610992 | + | 0.190439i | ||||
\(401\) | −1.73670 | − | 3.00804i | −0.0867264 | − | 0.150215i | 0.819399 | − | 0.573223i | \(-0.194307\pi\) |
−0.906126 | + | 0.423009i | \(0.860974\pi\) | |||||||
\(402\) | 1.00065 | − | 0.651148i | 0.0499080 | − | 0.0324763i | ||||
\(403\) | 0.575610 | − | 0.996985i | 0.0286732 | − | 0.0496634i | ||||
\(404\) | 7.82458 | − | 17.6622i | 0.389287 | − | 0.878725i | ||||
\(405\) | −2.28836 | −0.113709 | ||||||||
\(406\) | 26.1570 | + | 12.0504i | 1.29815 | + | 0.598054i | ||||
\(407\) | 6.09221i | 0.301979i | ||||||||
\(408\) | −2.78995 | − | 3.42582i | −0.138123 | − | 0.169603i | ||||
\(409\) | 20.4501 | + | 11.8069i | 1.01119 | + | 0.583812i | 0.911541 | − | 0.411210i | \(-0.134894\pi\) |
0.0996521 | + | 0.995022i | \(0.468227\pi\) | |||||||
\(410\) | −14.5445 | + | 9.46448i | −0.718304 | + | 0.467417i | ||||
\(411\) | −10.1498 | + | 5.86001i | −0.500654 | + | 0.289053i | ||||
\(412\) | 9.02689 | + | 12.3762i | 0.444723 | + | 0.609733i | ||||
\(413\) | 12.5010 | − | 7.87584i | 0.615133 | − | 0.387545i | ||||
\(414\) | −1.24709 | − | 0.633971i | −0.0612910 | − | 0.0311580i | ||||
\(415\) | −7.35371 | + | 4.24567i | −0.360979 | + | 0.208412i | ||||
\(416\) | −23.5398 | + | 6.42431i | −1.15414 | + | 0.314977i | ||||
\(417\) | 8.06323 | − | 13.9659i | 0.394858 | − | 0.683914i | ||||
\(418\) | −0.229823 | − | 4.30901i | −0.0112410 | − | 0.210761i | ||||
\(419\) | − | 7.29588i | − | 0.356427i | −0.983992 | − | 0.178214i | \(-0.942968\pi\) | ||
0.983992 | − | 0.178214i | \(-0.0570318\pi\) | |||||||
\(420\) | −4.45412 | − | 1.77092i | −0.217339 | − | 0.0864122i | ||||
\(421\) | − | 6.71577i | − | 0.327307i | −0.986518 | − | 0.163653i | \(-0.947672\pi\) | ||
0.986518 | − | 0.163653i | \(-0.0523278\pi\) | |||||||
\(422\) | −23.7404 | + | 1.26620i | −1.15567 | + | 0.0616378i | ||||
\(423\) | 11.7182 | − | 20.2966i | 0.569760 | − | 0.986853i | ||||
\(424\) | −22.9144 | − | 8.72315i | −1.11282 | − | 0.423634i | ||||
\(425\) | 1.49339 | − | 0.862209i | 0.0724401 | − | 0.0418233i | ||||
\(426\) | −4.85353 | + | 9.54742i | −0.235154 | + | 0.462574i | ||||
\(427\) | 2.44778 | − | 0.0945325i | 0.118456 | − | 0.00457475i | ||||
\(428\) | 19.9120 | + | 27.3001i | 0.962481 | + | 1.31960i | ||||
\(429\) | −4.20192 | + | 2.42598i | −0.202871 | + | 0.117127i | ||||
\(430\) | 1.34101 | + | 2.06079i | 0.0646691 | + | 0.0993803i | ||||
\(431\) | 29.3361 | + | 16.9372i | 1.41307 | + | 0.815837i | 0.995677 | − | 0.0928881i | \(-0.0296099\pi\) |
0.417395 | + | 0.908725i | \(0.362943\pi\) | |||||||
\(432\) | −3.96978 | − | 18.3424i | −0.190996 | − | 0.882498i | ||||
\(433\) | − | 14.8665i | − | 0.714440i | −0.934020 | − | 0.357220i | \(-0.883725\pi\) | ||
0.934020 | − | 0.357220i | \(-0.116275\pi\) | |||||||
\(434\) | −0.576549 | − | 0.815356i | −0.0276753 | − | 0.0391384i | ||||
\(435\) | 6.97222 | 0.334292 | ||||||||
\(436\) | −16.7529 | − | 7.42176i | −0.802318 | − | 0.355438i | ||||
\(437\) | 0.557650 | − | 0.965879i | 0.0266760 | − | 0.0462042i | ||||
\(438\) | −5.01804 | − | 7.71148i | −0.239771 | − | 0.368469i | ||||
\(439\) | 6.22389 | + | 10.7801i | 0.297050 | + | 0.514506i | 0.975460 | − | 0.220178i | \(-0.0706639\pi\) |
−0.678410 | + | 0.734684i | \(0.737331\pi\) | |||||||
\(440\) | 3.46745 | − | 0.559057i | 0.165304 | − | 0.0266520i | ||||
\(441\) | −6.58637 | + | 13.7612i | −0.313637 | + | 0.655294i | ||||
\(442\) | 9.37715 | + | 4.76698i | 0.446025 | + | 0.226742i | ||||
\(443\) | −5.16402 | − | 8.94434i | −0.245350 | − | 0.424959i | 0.716880 | − | 0.697197i | \(-0.245570\pi\) |
−0.962230 | + | 0.272238i | \(0.912236\pi\) | |||||||
\(444\) | −8.83789 | + | 0.945433i | −0.419428 | + | 0.0448683i | ||||
\(445\) | −6.91420 | − | 3.99191i | −0.327764 | − | 0.189235i | ||||
\(446\) | −33.7083 | + | 1.79784i | −1.59613 | + | 0.0851302i | ||||
\(447\) | 13.2992 | 0.629031 | ||||||||
\(448\) | −3.48261 | + | 20.8775i | −0.164538 | + | 0.986371i | ||||
\(449\) | 18.6590 | 0.880574 | 0.440287 | − | 0.897857i | \(-0.354877\pi\) | ||||
0.440287 | + | 0.897857i | \(0.354877\pi\) | |||||||
\(450\) | 3.07783 | − | 0.164157i | 0.145090 | − | 0.00773844i | ||||
\(451\) | 13.1954 | + | 7.61837i | 0.621348 | + | 0.358735i | ||||
\(452\) | 40.5779 | − | 4.34082i | 1.90863 | − | 0.204175i | ||||
\(453\) | −7.79349 | − | 13.4987i | −0.366170 | − | 0.634225i | ||||
\(454\) | −9.77949 | − | 4.97151i | −0.458974 | − | 0.233324i | ||||
\(455\) | 11.4039 | − | 0.440415i | 0.534623 | − | 0.0206470i | ||||
\(456\) | 6.21537 | − | 1.00211i | 0.291061 | − | 0.0469279i | ||||
\(457\) | 5.65988 | + | 9.80320i | 0.264758 | + | 0.458574i | 0.967500 | − | 0.252870i | \(-0.0813746\pi\) |
−0.702742 | + | 0.711445i | \(0.748041\pi\) | |||||||
\(458\) | 3.78246 | + | 5.81270i | 0.176743 | + | 0.271610i | ||||
\(459\) | −4.04528 | + | 7.00663i | −0.188818 | + | 0.327042i | ||||
\(460\) | 0.829978 | + | 0.367692i | 0.0386979 | + | 0.0171437i | ||||
\(461\) | 25.4553 | 1.18557 | 0.592785 | − | 0.805360i | \(-0.298028\pi\) | ||||
0.592785 | + | 0.805360i | \(0.298028\pi\) | |||||||
\(462\) | 0.386179 | + | 4.19100i | 0.0179667 | + | 0.194983i | ||||
\(463\) | − | 6.76939i | − | 0.314600i | −0.987551 | − | 0.157300i | \(-0.949721\pi\) | ||
0.987551 | − | 0.157300i | \(-0.0502790\pi\) | |||||||
\(464\) | −6.51252 | − | 30.0911i | −0.302336 | − | 1.39695i | ||||
\(465\) | −0.209370 | − | 0.120880i | −0.00970928 | − | 0.00560565i | ||||
\(466\) | −13.2443 | − | 20.3532i | −0.613531 | − | 0.942845i | ||||
\(467\) | 18.0857 | − | 10.4418i | 0.836908 | − | 0.483189i | −0.0193043 | − | 0.999814i | \(-0.506145\pi\) |
0.856212 | + | 0.516625i | \(0.172812\pi\) | |||||||
\(468\) | 11.0797 | + | 15.1907i | 0.512158 | + | 0.702190i | ||||
\(469\) | 1.31432 | + | 2.08617i | 0.0606897 | + | 0.0963302i | ||||
\(470\) | −6.89156 | + | 13.5564i | −0.317884 | + | 0.625312i | ||||
\(471\) | 8.39613 | − | 4.84751i | 0.386873 | − | 0.223361i | ||||
\(472\) | −14.7618 | − | 5.61957i | −0.679466 | − | 0.258662i | ||||
\(473\) | 1.07944 | − | 1.86964i | 0.0496325 | − | 0.0859660i | ||||
\(474\) | 14.1243 | − | 0.753324i | 0.648751 | − | 0.0346013i | ||||
\(475\) | 2.45721i | 0.112745i | ||||||||
\(476\) | 7.15916 | − | 5.65754i | 0.328140 | − | 0.259313i | ||||
\(477\) | 18.8929i | 0.865047i | ||||||||
\(478\) | 1.69991 | + | 31.8722i | 0.0777521 | + | 1.45780i | ||||
\(479\) | −1.45807 | + | 2.52546i | −0.0666211 | + | 0.115391i | −0.897412 | − | 0.441194i | \(-0.854555\pi\) |
0.830791 | + | 0.556585i | \(0.187889\pi\) | |||||||
\(480\) | 1.34912 | + | 4.94343i | 0.0615787 | + | 0.225635i | ||||
\(481\) | 18.3272 | − | 10.5812i | 0.835647 | − | 0.482461i | ||||
\(482\) | −3.63070 | − | 1.84571i | −0.165374 | − | 0.0840696i | ||||
\(483\) | −0.507142 | + | 0.962355i | −0.0230758 | + | 0.0437887i | ||||
\(484\) | 11.1469 | + | 15.2828i | 0.506676 | + | 0.694674i | ||||
\(485\) | −3.40232 | + | 1.96433i | −0.154491 | + | 0.0891956i | ||||
\(486\) | −19.1412 | + | 12.4556i | −0.868262 | + | 0.564998i | ||||
\(487\) | 10.0582 | + | 5.80712i | 0.455782 | + | 0.263146i | 0.710269 | − | 0.703930i | \(-0.248573\pi\) |
−0.254487 | + | 0.967076i | \(0.581907\pi\) | |||||||
\(488\) | −1.65367 | − | 2.03056i | −0.0748580 | − | 0.0919192i | ||||
\(489\) | 22.7298i | 1.02788i | ||||||||
\(490\) | 3.79216 | − | 9.14437i | 0.171312 | − | 0.413101i | ||||
\(491\) | −2.26191 | −0.102079 | −0.0510393 | − | 0.998697i | \(-0.516253\pi\) | ||||
−0.0510393 | + | 0.998697i | \(0.516253\pi\) | |||||||
\(492\) | −9.00413 | + | 20.3247i | −0.405937 | + | 0.916308i | ||||
\(493\) | −6.63639 | + | 11.4946i | −0.298888 | + | 0.517689i | ||||
\(494\) | −12.5636 | + | 8.17545i | −0.565265 | + | 0.367831i | ||||
\(495\) | −1.35318 | − | 2.34377i | −0.0608207 | − | 0.105345i | ||||
\(496\) | −0.326134 | + | 1.01652i | −0.0146439 | + | 0.0456431i | ||||
\(497\) | −19.5689 | − | 10.3124i | −0.877785 | − | 0.462575i | ||||
\(498\) | −4.92948 | + | 9.69680i | −0.220895 | + | 0.434524i | ||||
\(499\) | 11.8706 | + | 20.5606i | 0.531403 | + | 0.920417i | 0.999328 | + | 0.0366488i | \(0.0116683\pi\) |
−0.467925 | + | 0.883768i | \(0.654998\pi\) | |||||||
\(500\) | −1.98865 | + | 0.212736i | −0.0889353 | + | 0.00951385i | ||||
\(501\) | −5.04511 | − | 2.91280i | −0.225399 | − | 0.130134i | ||||
\(502\) | −0.932008 | − | 17.4745i | −0.0415976 | − | 0.779925i | ||||
\(503\) | 11.0460 | 0.492515 | 0.246258 | − | 0.969204i | \(-0.420799\pi\) | ||||
0.246258 | + | 0.969204i | \(0.420799\pi\) | |||||||
\(504\) | 15.9894 | − | 3.21550i | 0.712224 | − | 0.143230i | ||||
\(505\) | 9.65888 | 0.429814 | ||||||||
\(506\) | −0.0424522 | − | 0.795949i | −0.00188723 | − | 0.0353842i | ||||
\(507\) | 4.39789 | + | 2.53912i | 0.195317 | + | 0.112766i | ||||
\(508\) | −1.10256 | − | 10.3068i | −0.0489184 | − | 0.457288i | ||||
\(509\) | −20.3574 | − | 35.2600i | −0.902325 | − | 1.56287i | −0.824469 | − | 0.565908i | \(-0.808526\pi\) |
−0.0778561 | − | 0.996965i | \(-0.524807\pi\) | |||||||
\(510\) | 1.00108 | − | 1.96923i | 0.0443285 | − | 0.0871988i | ||||
\(511\) | 16.0769 | − | 10.1287i | 0.711201 | − | 0.448069i | ||||
\(512\) | 20.0750 | − | 10.4401i | 0.887196 | − | 0.461392i | ||||
\(513\) | −5.76433 | − | 9.98410i | −0.254501 | − | 0.440809i | ||||
\(514\) | 6.70331 | − | 4.36200i | 0.295670 | − | 0.192400i | ||||
\(515\) | −3.82962 | + | 6.63310i | −0.168753 | + | 0.292289i | ||||
\(516\) | 2.87978 | + | 1.27578i | 0.126775 | + | 0.0561631i | ||||
\(517\) | 13.3531 | 0.587269 | ||||||||
\(518\) | −1.68436 | − | 18.2795i | −0.0740067 | − | 0.803157i | ||||
\(519\) | 1.96705i | 0.0863438i | ||||||||
\(520\) | −7.70422 | − | 9.46012i | −0.337852 | − | 0.414854i | ||||
\(521\) | −27.7740 | − | 16.0353i | −1.21680 | − | 0.702519i | −0.252567 | − | 0.967579i | \(-0.581275\pi\) |
−0.964232 | + | 0.265060i | \(0.914608\pi\) | |||||||
\(522\) | −19.8843 | + | 12.9392i | −0.870314 | + | 0.566334i | ||||
\(523\) | −18.8270 | + | 10.8698i | −0.823246 | + | 0.475301i | −0.851534 | − | 0.524299i | \(-0.824328\pi\) |
0.0282888 | + | 0.999600i | \(0.490994\pi\) | |||||||
\(524\) | 21.9331 | − | 15.9974i | 0.958153 | − | 0.698850i | ||||
\(525\) | −0.0924882 | − | 2.39485i | −0.00403652 | − | 0.104520i | ||||
\(526\) | 12.5575 | + | 6.38375i | 0.547534 | + | 0.278345i | ||||
\(527\) | 0.398569 | − | 0.230114i | 0.0173619 | − | 0.0100239i | ||||
\(528\) | 3.33251 | − | 3.02300i | 0.145029 | − | 0.131559i | ||||
\(529\) | −11.3970 | + | 19.7402i | −0.495521 | + | 0.858268i | ||||
\(530\) | −0.652927 | − | 12.2419i | −0.0283613 | − | 0.531756i | ||||
\(531\) | 12.1711i | 0.528179i | ||||||||
\(532\) | 1.88093 | + | 12.8656i | 0.0815486 | + | 0.557793i | ||||
\(533\) | − | 52.9276i | − | 2.29255i | ||||||
\(534\) | −10.2132 | + | 0.544724i | −0.441968 | + | 0.0235725i | ||||
\(535\) | −8.44757 | + | 14.6316i | −0.365220 | + | 0.632580i | ||||
\(536\) | 0.937794 | − | 2.46345i | 0.0405065 | − | 0.106405i | ||||
\(537\) | −17.8640 | + | 10.3138i | −0.770887 | + | 0.445072i | ||||
\(538\) | −12.5328 | + | 24.6534i | −0.540328 | + | 1.06288i | ||||
\(539\) | −8.66642 | + | 0.670389i | −0.373289 | + | 0.0288757i | ||||
\(540\) | 7.58122 | − | 5.52953i | 0.326244 | − | 0.237953i | ||||
\(541\) | −10.7162 | + | 6.18701i | −0.460726 | + | 0.266000i | −0.712349 | − | 0.701825i | \(-0.752369\pi\) |
0.251624 | + | 0.967825i | \(0.419036\pi\) | |||||||
\(542\) | −24.8707 | − | 38.2201i | −1.06829 | − | 1.64169i | ||||
\(543\) | 15.9131 | + | 9.18742i | 0.682895 | + | 0.394270i | ||||
\(544\) | −9.43397 | − | 2.48112i | −0.404478 | − | 0.106377i | ||||
\(545\) | − | 9.16163i | − | 0.392441i | ||||||
\(546\) | 11.9371 | − | 8.44085i | 0.510859 | − | 0.361235i | ||||
\(547\) | −31.3301 | −1.33958 | −0.669790 | − | 0.742551i | \(-0.733616\pi\) | ||||
−0.669790 | + | 0.742551i | \(0.733616\pi\) | |||||||
\(548\) | −10.4812 | + | 23.6588i | −0.447734 | + | 1.01065i | ||||
\(549\) | −1.00894 | + | 1.74753i | −0.0430604 | + | 0.0745828i | ||||
\(550\) | 0.957809 | + | 1.47191i | 0.0408411 | + | 0.0627626i | ||||
\(551\) | −9.45652 | − | 16.3792i | −0.402861 | − | 0.697776i | ||||
\(552\) | 1.14809 | − | 0.185106i | 0.0488658 | − | 0.00787864i | ||||
\(553\) | 1.12733 | + | 29.1905i | 0.0479389 | + | 1.24131i | ||||
\(554\) | −22.3232 | − | 11.3482i | −0.948420 | − | 0.482140i | ||||
\(555\) | −2.22208 | − | 3.84875i | −0.0943220 | − | 0.163371i | ||||
\(556\) | −3.78728 | − | 35.4035i | −0.160617 | − | 1.50144i | ||||
\(557\) | −10.6869 | − | 6.17008i | −0.452818 | − | 0.261434i | 0.256202 | − | 0.966623i | \(-0.417529\pi\) |
−0.709020 | + | 0.705189i | \(0.750862\pi\) | |||||||
\(558\) | 0.821439 | − | 0.0438117i | 0.0347743 | − | 0.00185470i | ||||
\(559\) | −7.49924 | −0.317184 | ||||||||
\(560\) | −10.2494 | + | 2.63611i | −0.433118 | + | 0.111396i | ||||
\(561\) | −1.93969 | −0.0818938 | ||||||||
\(562\) | −5.68225 | + | 0.303065i | −0.239691 | + | 0.0127840i | ||||
\(563\) | −1.58551 | − | 0.915395i | −0.0668213 | − | 0.0385793i | 0.466217 | − | 0.884670i | \(-0.345617\pi\) |
−0.533038 | + | 0.846091i | \(0.678950\pi\) | |||||||
\(564\) | 2.07223 | + | 19.3712i | 0.0872568 | + | 0.815675i | ||||
\(565\) | 10.2024 | + | 17.6710i | 0.429217 | + | 0.743425i | ||||
\(566\) | −23.9170 | − | 12.1585i | −1.00531 | − | 0.511058i | ||||
\(567\) | −3.22730 | − | 5.12255i | −0.135534 | − | 0.215127i | ||||
\(568\) | 3.76402 | + | 23.3456i | 0.157935 | + | 0.979561i | ||||
\(569\) | −0.0498347 | − | 0.0863162i | −0.00208918 | − | 0.00361856i | 0.864979 | − | 0.501808i | \(-0.167332\pi\) |
−0.867068 | + | 0.498190i | \(0.833998\pi\) | |||||||
\(570\) | 1.71687 | + | 2.63840i | 0.0719116 | + | 0.110510i | ||||
\(571\) | 12.9796 | − | 22.4813i | 0.543178 | − | 0.940812i | −0.455541 | − | 0.890215i | \(-0.650554\pi\) |
0.998719 | − | 0.0505976i | \(-0.0161126\pi\) | |||||||
\(572\) | −4.33910 | + | 9.79449i | −0.181427 | + | 0.409528i | ||||
\(573\) | 1.52586 | 0.0637437 | ||||||||
\(574\) | −41.6989 | − | 19.2105i | −1.74048 | − | 0.801832i | ||||
\(575\) | 0.453889i | 0.0189285i | ||||||||
\(576\) | −13.0217 | − | 11.5946i | −0.542572 | − | 0.483109i | ||||
\(577\) | 1.28600 | + | 0.742473i | 0.0535369 | + | 0.0309096i | 0.526530 | − | 0.850157i | \(-0.323493\pi\) |
−0.472993 | + | 0.881066i | \(0.656826\pi\) | |||||||
\(578\) | −10.8190 | − | 16.6261i | −0.450011 | − | 0.691555i | ||||
\(579\) | 19.3450 | − | 11.1688i | 0.803950 | − | 0.464161i | ||||
\(580\) | 12.4372 | − | 9.07133i | 0.516425 | − | 0.376667i | ||||
\(581\) | −19.8751 | − | 10.4738i | −0.824557 | − | 0.434526i | ||||
\(582\) | −2.28071 | + | 4.48639i | −0.0945383 | + | 0.185967i | ||||
\(583\) | −9.32223 | + | 5.38219i | −0.386087 | + | 0.222908i | ||||
\(584\) | −18.9844 | − | 7.22706i | −0.785581 | − | 0.299058i | ||||
\(585\) | −4.70051 | + | 8.14152i | −0.194342 | + | 0.336610i | ||||
\(586\) | −14.6653 | + | 0.782177i | −0.605817 | + | 0.0323114i | ||||
\(587\) | 31.1081i | 1.28397i | 0.766717 | + | 0.641985i | \(0.221889\pi\) | ||||
−0.766717 | + | 0.641985i | \(0.778111\pi\) | |||||||
\(588\) | −2.31744 | − | 12.4682i | −0.0955698 | − | 0.514182i | ||||
\(589\) | 0.655802i | 0.0270219i | ||||||||
\(590\) | −0.420624 | − | 7.88641i | −0.0173168 | − | 0.324678i | ||||
\(591\) | −0.753830 | + | 1.30567i | −0.0310084 | + | 0.0537081i | ||||
\(592\) | −14.5351 | + | 13.1852i | −0.597390 | + | 0.541907i | ||||
\(593\) | −8.02645 | + | 4.63407i | −0.329607 | + | 0.190299i | −0.655667 | − | 0.755051i | \(-0.727612\pi\) |
0.326060 | + | 0.945349i | \(0.394279\pi\) | |||||||
\(594\) | −7.34469 | − | 3.73376i | −0.301356 | − | 0.153198i | ||||
\(595\) | 4.03623 | + | 2.12701i | 0.165469 | + | 0.0871991i | ||||
\(596\) | 23.7234 | − | 17.3032i | 0.971747 | − | 0.708766i | ||||
\(597\) | 10.0367 | − | 5.79467i | 0.410773 | − | 0.237160i | ||||
\(598\) | −2.32072 | + | 1.51015i | −0.0949013 | + | 0.0617545i | ||||
\(599\) | 3.48534 | + | 2.01226i | 0.142407 | + | 0.0822188i | 0.569511 | − | 0.821984i | \(-0.307133\pi\) |
−0.427104 | + | 0.904203i | \(0.640466\pi\) | |||||||
\(600\) | −1.98665 | + | 1.61791i | −0.0811046 | + | 0.0660507i | ||||
\(601\) | 23.8545i | 0.973047i | 0.873667 | + | 0.486524i | \(0.161735\pi\) | ||||
−0.873667 | + | 0.486524i | \(0.838265\pi\) | |||||||
\(602\) | −2.72191 | + | 5.90825i | −0.110937 | + | 0.240802i | ||||
\(603\) | −2.03111 | −0.0827131 | ||||||||
\(604\) | −31.4649 | − | 13.9394i | −1.28029 | − | 0.567186i | ||||
\(605\) | −4.72902 | + | 8.19090i | −0.192262 | + | 0.333007i | ||||
\(606\) | 10.3711 | − | 6.74871i | 0.421297 | − | 0.274148i | ||||
\(607\) | 18.6259 | + | 32.2611i | 0.756003 | + | 1.30944i | 0.944874 | + | 0.327434i | \(0.106184\pi\) |
−0.188871 | + | 0.982002i | \(0.560483\pi\) | |||||||
\(608\) | 9.78328 | − | 9.87419i | 0.396764 | − | 0.400451i | ||||
\(609\) | 9.83302 | + | 15.6075i | 0.398454 | + | 0.632449i | ||||
\(610\) | 0.593362 | − | 1.16721i | 0.0240245 | − | 0.0472588i | ||||
\(611\) | −23.1923 | − | 40.1702i | −0.938258 | − | 1.62511i | ||||
\(612\) | 0.799523 | + | 7.47393i | 0.0323188 | + | 0.302116i | ||||
\(613\) | 6.65132 | + | 3.84014i | 0.268644 | + | 0.155102i | 0.628271 | − | 0.777994i | \(-0.283763\pi\) |
−0.359627 | + | 0.933096i | \(0.617096\pi\) | |||||||
\(614\) | −1.61538 | − | 30.2872i | −0.0651914 | − | 1.22229i | ||||
\(615\) | −11.1149 | −0.448198 | ||||||||
\(616\) | 6.14165 | + | 6.97354i | 0.247454 | + | 0.280972i | ||||
\(617\) | −27.6806 | −1.11438 | −0.557189 | − | 0.830386i | \(-0.688120\pi\) | ||||
−0.557189 | + | 0.830386i | \(0.688120\pi\) | |||||||
\(618\) | 0.522578 | + | 9.79797i | 0.0210212 | + | 0.394132i | ||||
\(619\) | 25.7376 | + | 14.8596i | 1.03448 | + | 0.597258i | 0.918265 | − | 0.395966i | \(-0.129590\pi\) |
0.116216 | + | 0.993224i | \(0.462923\pi\) | |||||||
\(620\) | −0.530749 | + | 0.0567769i | −0.0213154 | + | 0.00228021i | ||||
\(621\) | −1.06477 | − | 1.84424i | −0.0427277 | − | 0.0740066i | ||||
\(622\) | −5.09799 | + | 10.0283i | −0.204411 | + | 0.402098i | ||||
\(623\) | −0.815164 | − | 21.1075i | −0.0326589 | − | 0.845653i | ||||
\(624\) | −14.8821 | − | 4.77470i | −0.595762 | − | 0.191141i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −12.3745 | + | 8.05239i | −0.494585 | + | 0.321838i | ||||
\(627\) | 1.38198 | − | 2.39366i | 0.0551910 | − | 0.0955936i | ||||
\(628\) | 8.67023 | − | 19.5710i | 0.345980 | − | 0.780968i | ||||
\(629\) | 8.46019 | 0.337330 | ||||||||
\(630\) | 4.70818 | + | 6.65831i | 0.187578 | + | 0.265273i | ||||
\(631\) | 1.25766i | 0.0500665i | 0.999687 | + | 0.0250332i | \(0.00796916\pi\) | ||||
−0.999687 | + | 0.0250332i | \(0.992031\pi\) | |||||||
\(632\) | 24.2150 | − | 19.7205i | 0.963223 | − | 0.784438i | ||||
\(633\) | −13.1878 | − | 7.61400i | −0.524170 | − | 0.302629i | ||||
\(634\) | 8.02661 | − | 5.22310i | 0.318777 | − | 0.207436i | ||||
\(635\) | 4.48842 | − | 2.59139i | 0.178117 | − | 0.102836i | ||||
\(636\) | −9.25458 | − | 12.6884i | −0.366968 | − | 0.503128i | ||||
\(637\) | 17.0689 | + | 24.9068i | 0.676296 | + | 0.986845i | ||||
\(638\) | −12.0492 | − | 6.12532i | −0.477031 | − | 0.242504i | ||||
\(639\) | 15.7801 | − | 9.11067i | 0.624253 | − | 0.360412i | ||||
\(640\) | 8.83832 | + | 7.06287i | 0.349365 | + | 0.279185i | ||||
\(641\) | 24.7738 | − | 42.9096i | 0.978508 | − | 1.69483i | 0.310672 | − | 0.950517i | \(-0.399446\pi\) |
0.667836 | − | 0.744309i | \(-0.267221\pi\) | |||||||
\(642\) | 1.15273 | + | 21.6129i | 0.0454946 | + | 0.852992i | ||||
\(643\) | − | 44.6117i | − | 1.75931i | −0.475608 | − | 0.879657i | \(-0.657772\pi\) | ||
0.475608 | − | 0.879657i | \(-0.342228\pi\) | |||||||
\(644\) | 0.347440 | + | 2.37649i | 0.0136910 | + | 0.0936469i | ||||
\(645\) | 1.57486i | 0.0620100i | ||||||||
\(646\) | −5.98389 | + | 0.319152i | −0.235433 | + | 0.0125569i | ||||
\(647\) | −16.9430 | + | 29.3462i | −0.666098 | + | 1.15372i | 0.312888 | + | 0.949790i | \(0.398704\pi\) |
−0.978986 | + | 0.203926i | \(0.934630\pi\) | |||||||
\(648\) | −2.30274 | + | 6.04896i | −0.0904602 | + | 0.237626i | ||||
\(649\) | −6.00550 | + | 3.46728i | −0.235736 | + | 0.136103i | ||||
\(650\) | 2.76440 | − | 5.43786i | 0.108429 | − | 0.213290i | ||||
\(651\) | −0.0246841 | − | 0.639158i | −0.000967445 | − | 0.0250506i | ||||
\(652\) | 29.5730 | + | 40.5458i | 1.15817 | + | 1.58790i | ||||
\(653\) | 31.0838 | − | 17.9462i | 1.21640 | − | 0.702291i | 0.252256 | − | 0.967660i | \(-0.418827\pi\) |
0.964147 | + | 0.265370i | \(0.0854940\pi\) | |||||||
\(654\) | −6.40128 | − | 9.83717i | −0.250310 | − | 0.384664i | ||||
\(655\) | 11.7551 | + | 6.78684i | 0.459312 | + | 0.265184i | ||||
\(656\) | 10.3821 | + | 47.9705i | 0.405353 | + | 1.87293i | ||||
\(657\) | 15.6526i | 0.610667i | ||||||||
\(658\) | −40.0657 | + | 3.69185i | −1.56193 | + | 0.143923i | ||||
\(659\) | −2.82512 | −0.110051 | −0.0550255 | − | 0.998485i | \(-0.517524\pi\) | ||||
−0.0550255 | + | 0.998485i | \(0.517524\pi\) | |||||||
\(660\) | 2.05687 | + | 0.911222i | 0.0800635 | + | 0.0354693i | ||||
\(661\) | 8.31035 | − | 14.3939i | 0.323235 | − | 0.559860i | −0.657919 | − | 0.753089i | \(-0.728563\pi\) |
0.981154 | + | 0.193230i | \(0.0618962\pi\) | |||||||
\(662\) | 8.63593 | + | 13.2713i | 0.335645 | + | 0.515803i | ||||
\(663\) | 3.36894 | + | 5.83517i | 0.130839 | + | 0.226619i | ||||
\(664\) | 3.82291 | + | 23.7109i | 0.148358 | + | 0.920162i | ||||
\(665\) | −5.50054 | + | 3.46544i | −0.213302 | + | 0.134384i | ||||
\(666\) | 13.4798 | + | 6.85262i | 0.522333 | + | 0.265534i | ||||
\(667\) | −1.74678 | − | 3.02551i | −0.0676356 | − | 0.117148i | ||||
\(668\) | −12.7893 | + | 1.36813i | −0.494833 | + | 0.0529347i | ||||
\(669\) | −18.7250 | − | 10.8109i | −0.723949 | − | 0.417972i | ||||
\(670\) | 1.31608 | − | 0.0701938i | 0.0508448 | − | 0.00271182i | ||||
\(671\) | −1.14970 | −0.0443837 | ||||||||
\(672\) | −9.16332 | + | 9.99183i | −0.353483 | + | 0.385443i | ||||
\(673\) | −28.1914 | −1.08670 | −0.543349 | − | 0.839507i | \(-0.682844\pi\) | ||||
−0.543349 | + | 0.839507i | \(0.682844\pi\) | |||||||
\(674\) | 34.5864 | − | 1.84467i | 1.33222 | − | 0.0710542i | ||||
\(675\) | 4.06319 | + | 2.34588i | 0.156392 | + | 0.0902930i | ||||
\(676\) | 11.1486 | − | 1.19262i | 0.428792 | − | 0.0458700i | ||||
\(677\) | −12.3523 | − | 21.3947i | −0.474736 | − | 0.822266i | 0.524846 | − | 0.851197i | \(-0.324123\pi\) |
−0.999581 | + | 0.0289312i | \(0.990790\pi\) | |||||||
\(678\) | 23.3015 | + | 11.8456i | 0.894888 | + | 0.454926i | ||||
\(679\) | −9.19555 | − | 4.84587i | −0.352893 | − | 0.185968i | ||||
\(680\) | −0.776357 | − | 4.81521i | −0.0297719 | − | 0.184655i | ||||
\(681\) | −3.51349 | − | 6.08554i | −0.134637 | − | 0.233198i | ||||
\(682\) | 0.255629 | + | 0.392838i | 0.00978853 | + | 0.0150425i | ||||
\(683\) | 1.55667 | − | 2.69624i | 0.0595645 | − | 0.103169i | −0.834706 | − | 0.550697i | \(-0.814362\pi\) |
0.894270 | + | 0.447528i | \(0.147695\pi\) | |||||||
\(684\) | −9.79279 | − | 4.33834i | −0.374437 | − | 0.165881i | ||||
\(685\) | −12.9383 | −0.494345 | ||||||||
\(686\) | 25.8181 | − | 4.40757i | 0.985739 | − | 0.168282i | ||||
\(687\) | 4.44207i | 0.169475i | ||||||||
\(688\) | 6.79687 | − | 1.47102i | 0.259128 | − | 0.0560823i | ||||
\(689\) | 32.3825 | + | 18.6960i | 1.23367 | + | 0.712262i | ||||
\(690\) | 0.317135 | + | 0.487357i | 0.0120731 | + | 0.0185534i | ||||
\(691\) | −17.8344 | + | 10.2967i | −0.678451 | + | 0.391704i | −0.799271 | − | 0.600970i | \(-0.794781\pi\) |
0.120820 | + | 0.992674i | \(0.461448\pi\) | |||||||
\(692\) | 2.55926 | + | 3.50886i | 0.0972886 | + | 0.133387i | ||||
\(693\) | 3.33820 | − | 6.33457i | 0.126808 | − | 0.240631i | ||||
\(694\) | 10.5253 | − | 20.7043i | 0.399534 | − | 0.785925i | ||||
\(695\) | 15.4176 | − | 8.90137i | 0.584824 | − | 0.337648i | ||||
\(696\) | 7.01605 | − | 18.4301i | 0.265943 | − | 0.698593i | ||||
\(697\) | 10.5796 | − | 18.3243i | 0.400729 | − | 0.694084i | ||||
\(698\) | 0.270583 | − | 0.0144316i | 0.0102417 | − | 0.000546245i | ||||
\(699\) | − | 15.5539i | − | 0.588304i | ||||||
\(700\) | −3.28084 | − | 4.15164i | −0.124004 | − | 0.156917i | ||||
\(701\) | − | 3.67022i | − | 0.138622i | −0.997595 | − | 0.0693111i | \(-0.977920\pi\) | ||
0.997595 | − | 0.0693111i | \(-0.0220801\pi\) | |||||||
\(702\) | 1.52432 | + | 28.5800i | 0.0575318 | + | 1.07868i | ||||
\(703\) | −6.02767 | + | 10.4402i | −0.227338 | + | 0.393761i | ||||
\(704\) | 2.01145 | − | 9.72830i | 0.0758095 | − | 0.366649i | ||||
\(705\) | −8.43584 | + | 4.87043i | −0.317712 | + | 0.183431i | ||||
\(706\) | −28.1791 | − | 14.3252i | −1.06054 | − | 0.539135i | ||||
\(707\) | 13.6220 | + | 21.6217i | 0.512310 | + | 0.813167i | ||||
\(708\) | −5.96192 | − | 8.17403i | −0.224063 | − | 0.307199i | ||||
\(709\) | −2.73543 | + | 1.57930i | −0.102731 | + | 0.0593118i | −0.550485 | − | 0.834845i | \(-0.685557\pi\) |
0.447754 | + | 0.894157i | \(0.352224\pi\) | |||||||
\(710\) | −9.91011 | + | 6.44874i | −0.371920 | + | 0.242017i | ||||
\(711\) | −20.8398 | − | 12.0319i | −0.781554 | − | 0.451231i | ||||
\(712\) | −17.5098 | + | 14.2597i | −0.656206 | + | 0.534407i | ||||
\(713\) | 0.121138i | 0.00453665i | ||||||||
\(714\) | 5.82000 | − | 0.536283i | 0.217808 | − | 0.0200699i | ||||
\(715\) | −5.35630 | −0.200314 | ||||||||
\(716\) | −18.4472 | + | 41.6401i | −0.689403 | + | 1.55616i | ||||
\(717\) | −10.2220 | + | 17.7050i | −0.381748 | + | 0.661206i | ||||
\(718\) | −28.0243 | + | 18.2361i | −1.04586 | + | 0.680564i | ||||
\(719\) | 10.8001 | + | 18.7063i | 0.402775 | + | 0.697626i | 0.994060 | − | 0.108837i | \(-0.0347125\pi\) |
−0.591285 | + | 0.806463i | \(0.701379\pi\) | |||||||
\(720\) | 2.66326 | − | 8.30103i | 0.0992537 | − | 0.309361i | ||||
\(721\) | −20.2493 | + | 0.782023i | −0.754125 | + | 0.0291241i | ||||
\(722\) | −8.30708 | + | 16.3409i | −0.309158 | + | 0.608146i | ||||
\(723\) | −1.30440 | − | 2.25929i | −0.0485113 | − | 0.0840241i | ||||
\(724\) | 40.3395 | − | 4.31531i | 1.49920 | − | 0.160377i | ||||
\(725\) | 6.66576 | + | 3.84848i | 0.247560 | + | 0.142929i | ||||
\(726\) | 0.645307 | + | 12.0991i | 0.0239496 | + | 0.449038i | ||||
\(727\) | 48.4533 | 1.79703 | 0.898516 | − | 0.438941i | \(-0.144646\pi\) | ||||
0.898516 | + | 0.438941i | \(0.144646\pi\) | |||||||
\(728\) | 10.3114 | − | 30.5879i | 0.382166 | − | 1.13366i | ||||
\(729\) | −7.76263 | −0.287505 | ||||||||
\(730\) | −0.540945 | − | 10.1423i | −0.0200213 | − | 0.375385i | ||||
\(731\) | −2.59635 | − | 1.49900i | −0.0960294 | − | 0.0554426i | ||||
\(732\) | −0.178419 | − | 1.66786i | −0.00659455 | − | 0.0616457i | ||||
\(733\) | 7.62984 | + | 13.2153i | 0.281814 | + | 0.488117i | 0.971832 | − | 0.235676i | \(-0.0757304\pi\) |
−0.690017 | + | 0.723793i | \(0.742397\pi\) | |||||||
\(734\) | 11.5373 | − | 22.6951i | 0.425850 | − | 0.837693i | ||||
\(735\) | 5.23050 | − | 3.58452i | 0.192930 | − | 0.132217i | ||||
\(736\) | 1.80714 | − | 1.82393i | 0.0666121 | − | 0.0672310i | ||||
\(737\) | −0.578619 | − | 1.00220i | −0.0213137 | − | 0.0369165i | ||||
\(738\) | 31.6991 | − | 20.6274i | 1.16686 | − | 0.759303i | ||||
\(739\) | 3.14394 | − | 5.44547i | 0.115652 | − | 0.200315i | −0.802388 | − | 0.596802i | \(-0.796438\pi\) |
0.918040 | + | 0.396488i | \(0.129771\pi\) | |||||||
\(740\) | −8.97127 | − | 3.97440i | −0.329791 | − | 0.146102i | ||||
\(741\) | −9.60113 | −0.352706 | ||||||||
\(742\) | 26.4831 | − | 18.7266i | 0.972225 | − | 0.687474i | ||||
\(743\) | − | 32.4205i | − | 1.18939i | −0.803950 | − | 0.594697i | \(-0.797272\pi\) | ||
0.803950 | − | 0.594697i | \(-0.202728\pi\) | |||||||
\(744\) | −0.530215 | + | 0.431801i | −0.0194386 | + | 0.0158306i | ||||
\(745\) | 12.7146 | + | 7.34080i | 0.465829 | + | 0.268946i | ||||
\(746\) | −29.5233 | + | 19.2115i | −1.08093 | + | 0.703383i | ||||
\(747\) | 16.0270 | − | 9.25322i | 0.586399 | − | 0.338558i | ||||
\(748\) | −3.46005 | + | 2.52367i | −0.126512 | + | 0.0922745i | ||||
\(749\) | −44.6670 | + | 1.72503i | −1.63210 | + | 0.0630311i | ||||
\(750\) | −1.14196 | − | 0.580530i | −0.0416987 | − | 0.0211980i | ||||
\(751\) | 36.4730 | − | 21.0577i | 1.33092 | − | 0.768406i | 0.345477 | − | 0.938427i | \(-0.387717\pi\) |
0.985440 | + | 0.170022i | \(0.0543837\pi\) | |||||||
\(752\) | 28.8997 | + | 31.8586i | 1.05387 | + | 1.16176i | ||||
\(753\) | 5.60440 | − | 9.70710i | 0.204236 | − | 0.353747i | ||||
\(754\) | 2.50069 | + | 46.8862i | 0.0910697 | + | 1.70749i | ||||
\(755\) | − | 17.2072i | − | 0.626233i | ||||||
\(756\) | 23.0699 | + | 9.17241i | 0.839045 | + | 0.333597i | ||||
\(757\) | 14.3036i | 0.519875i | 0.965625 | + | 0.259937i | \(0.0837019\pi\) | ||||
−0.965625 | + | 0.259937i | \(0.916298\pi\) | |||||||
\(758\) | 5.52960 | − | 0.294923i | 0.200844 | − | 0.0107121i | ||||
\(759\) | 0.255276 | − | 0.442150i | 0.00926592 | − | 0.0160490i | ||||
\(760\) | 6.49531 | + | 2.47266i | 0.235610 | + | 0.0896927i | ||||
\(761\) | 11.5548 | − | 6.67119i | 0.418862 | − | 0.241830i | −0.275728 | − | 0.961236i | \(-0.588919\pi\) |
0.694590 | + | 0.719405i | \(0.255586\pi\) | |||||||
\(762\) | 3.00876 | − | 5.91855i | 0.108996 | − | 0.214406i | ||||
\(763\) | 20.5086 | − | 12.9208i | 0.742460 | − | 0.467763i | ||||
\(764\) | 2.72186 | − | 1.98525i | 0.0984733 | − | 0.0718238i | ||||
\(765\) | −3.25477 | + | 1.87914i | −0.117676 | + | 0.0679405i | ||||
\(766\) | 12.7608 | + | 19.6102i | 0.461067 | + | 0.708546i | ||||
\(767\) | 20.8612 | + | 12.0442i | 0.753255 | + | 0.434892i | ||||
\(768\) | 14.4249 | + | 1.40828i | 0.520513 | + | 0.0508170i | ||||
\(769\) | − | 16.2042i | − | 0.584338i | −0.956367 | − | 0.292169i | \(-0.905623\pi\) | ||
0.956367 | − | 0.292169i | \(-0.0943770\pi\) | |||||||
\(770\) | −1.94411 | + | 4.21995i | −0.0700610 | + | 0.152076i | ||||
\(771\) | 5.12267 | 0.184489 | ||||||||
\(772\) | 19.9765 | − | 45.0923i | 0.718971 | − | 1.62291i | ||||
\(773\) | −6.10743 | + | 10.5784i | −0.219669 | + | 0.380478i | −0.954707 | − | 0.297548i | \(-0.903831\pi\) |
0.735038 | + | 0.678026i | \(0.237164\pi\) | |||||||
\(774\) | −2.92266 | − | 4.49140i | −0.105053 | − | 0.161440i | ||||
\(775\) | −0.133444 | − | 0.231133i | −0.00479347 | − | 0.00830253i | ||||
\(776\) | 1.76874 | + | 10.9703i | 0.0634939 | + | 0.393809i | ||||
\(777\) | 5.48173 | − | 10.4021i | 0.196656 | − | 0.373175i | ||||
\(778\) | 25.9895 | + | 13.2120i | 0.931769 | + | 0.473675i | ||||
\(779\) | 15.0753 | + | 26.1113i | 0.540130 | + | 0.935533i | ||||
\(780\) | −0.831230 | − | 7.77033i | −0.0297628 | − | 0.278222i | ||||
\(781\) | 8.99086 | + | 5.19087i | 0.321718 | + | 0.185744i | ||||
\(782\) | −1.10533 | + | 0.0589529i | −0.0395264 | + | 0.00210815i | ||||
\(783\) | −36.1123 | −1.29055 | ||||||||
\(784\) | −20.3559 | − | 19.2259i | −0.726997 | − | 0.686640i | ||||
\(785\) | 10.7028 | 0.381998 | ||||||||
\(786\) | 17.3639 | − | 0.926111i | 0.619351 | − | 0.0330333i | ||||
\(787\) | 12.7062 | + | 7.33592i | 0.452927 | + | 0.261497i | 0.709065 | − | 0.705143i | \(-0.249117\pi\) |
−0.256139 | + | 0.966640i | \(0.582450\pi\) | |||||||
\(788\) | 0.354072 | + | 3.30986i | 0.0126133 | + | 0.117909i | ||||
\(789\) | 4.51155 | + | 7.81424i | 0.160616 | + | 0.278194i | ||||
\(790\) | 13.9193 | + | 7.07602i | 0.495226 | + | 0.251753i | ||||
\(791\) | −25.1686 | + | 47.7600i | −0.894891 | + | 1.69815i | ||||
\(792\) | −7.55713 | + | 1.21844i | −0.268531 | + | 0.0432953i | ||||
\(793\) | 1.99685 | + | 3.45864i | 0.0709101 | + | 0.122820i | ||||
\(794\) | −14.5933 | − | 22.4263i | −0.517897 | − | 0.795878i | ||||
\(795\) | 3.92622 | − | 6.80041i | 0.139249 | − | 0.241186i | ||||
\(796\) | 10.3643 | − | 23.3950i | 0.367353 | − | 0.829214i | ||||
\(797\) | −32.6214 | −1.15551 | −0.577754 | − | 0.816211i | \(-0.696071\pi\) | ||||
−0.577754 | + | 0.816211i | \(0.696071\pi\) | |||||||
\(798\) | −3.48481 | + | 7.56422i | −0.123361 | + | 0.267771i | ||||
\(799\) | − | 18.5433i | − | 0.656016i | ||||||
\(800\) | −1.43882 | + | 5.47081i | −0.0508698 | + | 0.193422i | ||||
\(801\) | 15.0691 | + | 8.70018i | 0.532442 | + | 0.307406i | ||||
\(802\) | −2.67914 | − | 4.11717i | −0.0946037 | − | 0.145382i | ||||
\(803\) | −7.72339 | + | 4.45910i | −0.272552 | + | 0.157358i | ||||
\(804\) | 1.36408 | − | 0.994925i | 0.0481075 | − | 0.0350883i | ||||
\(805\) | −1.01604 | + | 0.640125i | −0.0358108 | + | 0.0225615i | ||||
\(806\) | 0.737786 | − | 1.45130i | 0.0259874 | − | 0.0511200i | ||||
\(807\) | −15.3412 | + | 8.85724i | −0.540036 | + | 0.311790i | ||||
\(808\) | 9.71960 | − | 25.5320i | 0.341934 | − | 0.898211i | ||||
\(809\) | 10.4784 | − | 18.1491i | 0.368400 | − | 0.638087i | −0.620916 | − | 0.783877i | \(-0.713239\pi\) |
0.989316 | + | 0.145790i | \(0.0465724\pi\) | |||||||
\(810\) | −3.23163 | + | 0.172360i | −0.113548 | + | 0.00605611i | ||||
\(811\) | 41.5111i | 1.45765i | 0.684699 | + | 0.728826i | \(0.259934\pi\) | ||||
−0.684699 | + | 0.728826i | \(0.740066\pi\) | |||||||
\(812\) | 37.8468 | + | 15.0476i | 1.32816 | + | 0.528066i | ||||
\(813\) | − | 29.2078i | − | 1.02436i | ||||||
\(814\) | 0.458868 | + | 8.60345i | 0.0160833 | + | 0.301551i | ||||
\(815\) | −12.5462 | + | 21.7307i | −0.439475 | + | 0.761193i | ||||
\(816\) | −4.19801 | − | 4.62782i | −0.146960 | − | 0.162006i | ||||
\(817\) | 3.69967 | − | 2.13600i | 0.129435 | − | 0.0747293i | ||||
\(818\) | 29.7691 | + | 15.1334i | 1.04085 | + | 0.529128i | ||||
\(819\) | −24.8542 | + | 0.959862i | −0.868477 | + | 0.0335403i | ||||
\(820\) | −19.8270 | + | 14.4613i | −0.692390 | + | 0.505010i | ||||
\(821\) | −20.2501 | + | 11.6914i | −0.706734 | + | 0.408033i | −0.809850 | − | 0.586636i | \(-0.800452\pi\) |
0.103117 | + | 0.994669i | \(0.467118\pi\) | |||||||
\(822\) | −13.8923 | + | 9.04003i | −0.484549 | + | 0.315307i | ||||
\(823\) | −13.6126 | − | 7.85923i | −0.474505 | − | 0.273956i | 0.243619 | − | 0.969871i | \(-0.421665\pi\) |
−0.718124 | + | 0.695915i | \(0.754999\pi\) | |||||||
\(824\) | 13.6800 | + | 16.7979i | 0.476566 | + | 0.585182i | ||||
\(825\) | 1.12484i | 0.0391618i | ||||||||
\(826\) | 17.0608 | − | 12.0639i | 0.593619 | − | 0.419756i | ||||
\(827\) | −34.6724 | −1.20568 | −0.602838 | − | 0.797864i | \(-0.705963\pi\) | ||||
−0.602838 | + | 0.797864i | \(0.705963\pi\) | |||||||
\(828\) | −1.80890 | − | 0.801366i | −0.0628635 | − | 0.0278494i | ||||
\(829\) | −15.5301 | + | 26.8989i | −0.539383 | + | 0.934238i | 0.459555 | + | 0.888150i | \(0.348009\pi\) |
−0.998937 | + | 0.0460889i | \(0.985324\pi\) | |||||||
\(830\) | −10.0652 | + | 6.54964i | −0.349367 | + | 0.227341i | ||||
\(831\) | −8.02006 | − | 13.8912i | −0.278213 | − | 0.481879i | ||||
\(832\) | −32.7592 | + | 10.8455i | −1.13572 | + | 0.375999i | ||||
\(833\) | 0.930962 | + | 12.0350i | 0.0322559 | + | 0.416987i | ||||
\(834\) | 10.3350 | − | 20.3301i | 0.357873 | − | 0.703974i | ||||
\(835\) | −3.21557 | − | 5.56953i | −0.111279 | − | 0.192741i | ||||
\(836\) | −0.649114 | − | 6.06791i | −0.0224501 | − | 0.209863i | ||||
\(837\) | 1.08442 | + | 0.626090i | 0.0374830 | + | 0.0216408i | ||||
\(838\) | −0.549529 | − | 10.3033i | −0.0189832 | − | 0.355921i | ||||
\(839\) | 16.3946 | 0.566003 | 0.283002 | − | 0.959119i | \(-0.408670\pi\) | ||||
0.283002 | + | 0.959119i | \(0.408670\pi\) | |||||||
\(840\) | −6.42353 | − | 2.16542i | −0.221633 | − | 0.0747142i | ||||
\(841\) | −30.2431 | −1.04287 | ||||||||
\(842\) | −0.505835 | − | 9.48405i | −0.0174322 | − | 0.326842i | ||||
\(843\) | −3.15650 | − | 1.82240i | −0.108715 | − | 0.0627669i | ||||
\(844\) | −33.4310 | + | 3.57628i | −1.15074 | + | 0.123101i | ||||
\(845\) | 2.80305 | + | 4.85503i | 0.0964279 | + | 0.167018i | ||||
\(846\) | 15.0198 | − | 29.5456i | 0.516392 | − | 1.01580i | ||||
\(847\) | −25.0050 | + | 0.965684i | −0.859181 | + | 0.0331813i | ||||
\(848\) | −33.0170 | − | 10.5930i | −1.13381 | − | 0.363764i | ||||
\(849\) | −8.59268 | − | 14.8830i | −0.294900 | − | 0.510782i | ||||
\(850\) | 2.04403 | − | 1.33010i | 0.0701098 | − | 0.0456221i | ||||
\(851\) | −1.11341 | + | 1.92849i | −0.0381673 | + | 0.0661078i | ||||
\(852\) | −6.13508 | + | 13.8485i | −0.210184 | + | 0.474442i | ||||
\(853\) | −43.9900 | −1.50619 | −0.753095 | − | 0.657911i | \(-0.771440\pi\) | ||||
−0.753095 | + | 0.657911i | \(0.771440\pi\) | |||||||
\(854\) | 3.44965 | − | 0.317867i | 0.118045 | − | 0.0108772i | ||||
\(855\) | − | 5.35537i | − | 0.183150i | ||||||
\(856\) | 30.1761 | + | 37.0536i | 1.03140 | + | 1.26647i | ||||
\(857\) | 19.8887 | + | 11.4827i | 0.679384 | + | 0.392242i | 0.799623 | − | 0.600503i | \(-0.205033\pi\) |
−0.120239 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(858\) | −5.75126 | + | 3.74248i | −0.196345 | + | 0.127766i | ||||
\(859\) | −0.419174 | + | 0.242010i | −0.0143020 | + | 0.00825728i | −0.507134 | − | 0.861867i | \(-0.669295\pi\) |
0.492832 | + | 0.870125i | \(0.335962\pi\) | |||||||
\(860\) | 2.04900 | + | 2.80926i | 0.0698703 | + | 0.0957950i | ||||
\(861\) | −15.6756 | − | 24.8811i | −0.534221 | − | 0.847947i | ||||
\(862\) | 42.7044 | + | 21.7092i | 1.45452 | + | 0.739420i | ||||
\(863\) | −9.39498 | + | 5.42419i | −0.319809 | + | 0.184642i | −0.651307 | − | 0.758814i | \(-0.725779\pi\) |
0.331499 | + | 0.943456i | \(0.392446\pi\) | |||||||
\(864\) | −6.98770 | − | 25.6042i | −0.237727 | − | 0.871074i | ||||
\(865\) | −1.08576 | + | 1.88059i | −0.0369168 | + | 0.0639419i | ||||
\(866\) | −1.11975 | − | 20.9946i | −0.0380508 | − | 0.713426i | ||||
\(867\) | − | 12.7057i | − | 0.431508i | ||||||
\(868\) | −0.875620 | − | 1.10803i | −0.0297205 | − | 0.0376088i | ||||
\(869\) | − | 13.7105i | − | 0.465097i | ||||||
\(870\) | 9.84622 | − | 0.525151i | 0.333818 | − | 0.0178043i | ||||
\(871\) | −2.00994 | + | 3.48132i | −0.0681043 | + | 0.117960i | ||||
\(872\) | −24.2175 | − | 9.21922i | −0.820109 | − | 0.312202i | ||||
\(873\) | 7.41519 | − | 4.28116i | 0.250966 | − | 0.144895i | ||||
\(874\) | 0.714767 | − | 1.40602i | 0.0241774 | − | 0.0475594i | ||||
\(875\) | 1.23347 | − | 2.34063i | 0.0416988 | − | 0.0791278i | ||||
\(876\) | −7.66734 | − | 10.5122i | −0.259055 | − | 0.355176i | ||||
\(877\) | 36.4411 | − | 21.0393i | 1.23053 | − | 0.710446i | 0.263388 | − | 0.964690i | \(-0.415160\pi\) |
0.967140 | + | 0.254244i | \(0.0818266\pi\) | |||||||
\(878\) | 9.60137 | + | 14.7549i | 0.324031 | + | 0.497955i | ||||
\(879\) | −8.14658 | − | 4.70343i | −0.274777 | − | 0.158643i | ||||
\(880\) | 4.85464 | − | 1.05067i | 0.163650 | − | 0.0354182i | ||||
\(881\) | − | 30.9141i | − | 1.04152i | −0.853702 | − | 0.520762i | \(-0.825648\pi\) | ||
0.853702 | − | 0.520762i | \(-0.174352\pi\) | |||||||
\(882\) | −8.26482 | + | 19.9297i | −0.278291 | + | 0.671068i | ||||
\(883\) | 6.07978 | 0.204601 | 0.102300 | − | 0.994754i | \(-0.467380\pi\) | ||||
0.102300 | + | 0.994754i | \(0.467380\pi\) | |||||||
\(884\) | 13.6015 | + | 6.02566i | 0.457469 | + | 0.202665i | ||||
\(885\) | 2.52932 | − | 4.38091i | 0.0850221 | − | 0.147263i | ||||
\(886\) | −7.96635 | − | 12.2423i | −0.267635 | − | 0.411288i | ||||
\(887\) | −24.0789 | − | 41.7059i | −0.808492 | − | 1.40035i | −0.913908 | − | 0.405920i | \(-0.866951\pi\) |
0.105417 | − | 0.994428i | \(-0.466382\pi\) | |||||||
\(888\) | −12.4097 | + | 2.00082i | −0.416443 | + | 0.0671431i | ||||
\(889\) | 12.1310 | + | 6.39279i | 0.406860 | + | 0.214407i | ||||
\(890\) | −10.0649 | − | 5.11662i | −0.337378 | − | 0.171510i | ||||
\(891\) | 1.42079 | + | 2.46089i | 0.0475984 | + | 0.0824428i | ||||
\(892\) | −47.4676 | + | 5.07784i | −1.58933 | + | 0.170019i | ||||
\(893\) | 22.8833 | + | 13.2117i | 0.765760 | + | 0.442111i | ||||
\(894\) | 18.7812 | − | 1.00170i | 0.628139 | − | 0.0335020i | ||||
\(895\) | −22.7717 | −0.761173 | ||||||||
\(896\) | −3.34566 | + | 29.7457i | −0.111771 | + | 0.993734i | ||||
\(897\) | −1.77349 | −0.0592152 | ||||||||
\(898\) | 26.3504 | − | 1.40541i | 0.879324 | − | 0.0468990i | ||||
\(899\) | 1.77902 | + | 1.02712i | 0.0593335 | + | 0.0342562i | ||||
\(900\) | 4.33417 | − | 0.463648i | 0.144472 | − | 0.0154549i | ||||
\(901\) | 7.47420 | + | 12.9457i | 0.249002 | + | 0.431283i | ||||
\(902\) | 19.2085 | + | 9.76483i | 0.639572 | + | 0.325133i | ||||
\(903\) | −3.52537 | + | 2.22105i | −0.117317 | + | 0.0739118i | ||||
\(904\) | 56.9775 | − | 9.18649i | 1.89504 | − | 0.305538i | ||||
\(905\) | 10.1424 | + | 17.5672i | 0.337145 | + | 0.583952i | ||||
\(906\) | −12.0227 | − | 18.4760i | −0.399429 | − | 0.613823i | ||||
\(907\) | −7.12984 | + | 12.3493i | −0.236743 | + | 0.410050i | −0.959778 | − | 0.280761i | \(-0.909413\pi\) |
0.723035 | + | 0.690811i | \(0.242746\pi\) | |||||||
\(908\) | −14.1851 | − | 6.28420i | −0.470749 | − | 0.208549i | ||||
\(909\) | −21.0510 | −0.698219 | ||||||||
\(910\) | 16.0715 | − | 1.48090i | 0.532764 | − | 0.0490914i | ||||
\(911\) | 37.4662i | 1.24131i | 0.784083 | + | 0.620656i | \(0.213134\pi\) | ||||
−0.784083 | + | 0.620656i | \(0.786866\pi\) | |||||||
\(912\) | 8.70191 | − | 1.88332i | 0.288149 | − | 0.0623631i | ||||
\(913\) | 9.13153 | + | 5.27209i | 0.302210 | + | 0.174481i | ||||
\(914\) | 8.73130 | + | 13.4178i | 0.288806 | + | 0.443822i | ||||
\(915\) | 0.726324 | − | 0.419343i | 0.0240115 | − | 0.0138631i | ||||
\(916\) | 5.77943 | + | 7.92383i | 0.190958 | + | 0.261811i | ||||
\(917\) | 1.38590 | + | 35.8858i | 0.0457664 | + | 1.18505i | ||||
\(918\) | −5.18503 | + | 10.1995i | −0.171132 | + | 0.336634i | ||||
\(919\) | −34.5077 | + | 19.9230i | −1.13830 | + | 0.657200i | −0.946010 | − | 0.324138i | \(-0.894926\pi\) |
−0.192293 | + | 0.981338i | \(0.561592\pi\) | |||||||
\(920\) | 1.19979 | + | 0.456742i | 0.0395561 | + | 0.0150583i | ||||
\(921\) | 9.71368 | − | 16.8246i | 0.320077 | − | 0.554389i | ||||
\(922\) | 35.9481 | − | 1.91730i | 1.18389 | − | 0.0631430i | ||||
\(923\) | − | 36.0629i | − | 1.18703i | ||||||
\(924\) | 0.861032 | + | 5.88947i | 0.0283259 | + | 0.193749i | ||||
\(925\) | − | 4.90611i | − | 0.161312i | ||||||
\(926\) | −0.509873 | − | 9.55977i | −0.0167555 | − | 0.314154i | ||||
\(927\) | 8.34647 | − | 14.4565i | 0.274134 | − | 0.474814i | ||||
\(928\) | −11.4635 | − | 42.0044i | −0.376308 | − | 1.37886i | ||||
\(929\) | −3.03847 | + | 1.75426i | −0.0996889 | + | 0.0575554i | −0.549016 | − | 0.835812i | \(-0.684997\pi\) |
0.449327 | + | 0.893368i | \(0.351664\pi\) | |||||||
\(930\) | −0.304778 | − | 0.154937i | −0.00999405 | − | 0.00508059i | ||||
\(931\) | −15.5150 | − | 7.42577i | −0.508483 | − | 0.243370i | ||||
\(932\) | −20.2367 | − | 27.7454i | −0.662876 | − | 0.908830i | ||||
\(933\) | −6.24036 | + | 3.60288i | −0.204300 | + | 0.117953i | ||||
\(934\) | 24.7543 | − | 16.1082i | 0.809985 | − | 0.527076i | ||||
\(935\) | −1.85443 | − | 1.07066i | −0.0606464 | − | 0.0350142i | ||||
\(936\) | 16.7910 | + | 20.6179i | 0.548830 | + | 0.673916i | ||||
\(937\) | − | 50.3147i | − | 1.64371i | −0.569696 | − | 0.821855i | \(-0.692939\pi\) | ||
0.569696 | − | 0.821855i | \(-0.307061\pi\) | |||||||
\(938\) | 2.01322 | + | 2.84710i | 0.0657340 | + | 0.0929611i | ||||
\(939\) | −9.45661 | −0.308605 | ||||||||
\(940\) | −8.71123 | + | 19.6636i | −0.284129 | + | 0.641355i | ||||
\(941\) | 16.9244 | − | 29.3139i | 0.551719 | − | 0.955605i | −0.446432 | − | 0.894817i | \(-0.647306\pi\) |
0.998151 | − | 0.0607871i | \(-0.0193611\pi\) | |||||||
\(942\) | 11.4920 | − | 7.47809i | 0.374428 | − | 0.243649i | ||||
\(943\) | 2.78467 | + | 4.82320i | 0.0906815 | + | 0.157065i | ||||
\(944\) | −21.2699 | − | 6.82412i | −0.692278 | − | 0.222106i | ||||
\(945\) | 0.479038 | + | 12.4040i | 0.0155831 | + | 0.403502i | ||||
\(946\) | 1.38356 | − | 2.72162i | 0.0449835 | − | 0.0884874i | ||||
\(947\) | 1.28323 | + | 2.22263i | 0.0416995 | + | 0.0722256i | 0.886122 | − | 0.463452i | \(-0.153389\pi\) |
−0.844422 | + | 0.535678i | \(0.820056\pi\) | |||||||
\(948\) | 19.8897 | − | 2.12770i | 0.645987 | − | 0.0691044i | ||||
\(949\) | 26.8286 | + | 15.4895i | 0.870894 | + | 0.502811i | ||||
\(950\) | 0.185078 | + | 3.47009i | 0.00600473 | + | 0.112585i | ||||
\(951\) | 6.13393 | 0.198906 | ||||||||
\(952\) | 9.68408 | − | 8.52885i | 0.313863 | − | 0.276422i | ||||
\(953\) | −2.53946 | −0.0822613 | −0.0411306 | − | 0.999154i | \(-0.513096\pi\) | ||||
−0.0411306 | + | 0.999154i | \(0.513096\pi\) | |||||||
\(954\) | 1.42302 | + | 26.6807i | 0.0460721 | + | 0.863819i | ||||
\(955\) | 1.45879 | + | 0.842233i | 0.0472054 | + | 0.0272540i | ||||
\(956\) | 4.80125 | + | 44.8820i | 0.155284 | + | 1.45159i | ||||
\(957\) | −4.32891 | − | 7.49789i | −0.139934 | − | 0.242372i | ||||
\(958\) | −1.86888 | + | 3.67629i | −0.0603808 | + | 0.118775i | ||||
\(959\) | −18.2470 | − | 28.9627i | −0.589226 | − | 0.935254i | ||||
\(960\) | 2.27758 | + | 6.87952i | 0.0735085 | + | 0.222036i | ||||
\(961\) | 15.4644 | + | 26.7851i | 0.498851 | + | 0.864036i | ||||
\(962\) | 25.0848 | − | 16.3232i | 0.808766 | − | 0.526283i | ||||
\(963\) | 18.4111 | − | 31.8889i | 0.593288 | − | 1.02760i | ||||
\(964\) | −5.26631 | − | 2.33305i | −0.169617 | − | 0.0751425i | ||||
\(965\) | 24.6596 | 0.793819 | ||||||||
\(966\) | −0.643704 | + | 1.39724i | −0.0207108 | + | 0.0449555i | ||||
\(967\) | − | 12.3398i | − | 0.396821i | −0.980119 | − | 0.198410i | \(-0.936422\pi\) | ||
0.980119 | − | 0.198410i | \(-0.0635779\pi\) | |||||||
\(968\) | 16.8928 | + | 20.7429i | 0.542955 | + | 0.666703i | ||||
\(969\) | −3.32405 | − | 1.91914i | −0.106784 | − | 0.0616518i | ||||
\(970\) | −4.65682 | + | 3.03030i | −0.149522 | + | 0.0972972i | ||||
\(971\) | 5.46696 | − | 3.15635i | 0.175443 | − | 0.101292i | −0.409707 | − | 0.912217i | \(-0.634369\pi\) |
0.585150 | + | 0.810925i | \(0.301036\pi\) | |||||||
\(972\) | −26.0931 | + | 19.0316i | −0.836938 | + | 0.610440i | ||||
\(973\) | 41.6696 | + | 21.9591i | 1.33587 | + | 0.703976i | ||||
\(974\) | 14.6417 | + | 7.44326i | 0.469150 | + | 0.238498i | ||||
\(975\) | 3.38385 | − | 1.95367i | 0.108370 | − | 0.0625674i | ||||
\(976\) | −2.48826 | − | 2.74302i | −0.0796473 | − | 0.0878018i | ||||
\(977\) | −5.33460 | + | 9.23979i | −0.170669 | + | 0.295607i | −0.938654 | − | 0.344861i | \(-0.887926\pi\) |
0.767985 | + | 0.640468i | \(0.221260\pi\) | |||||||
\(978\) | 1.71202 | + | 32.0991i | 0.0547443 | + | 1.02642i | ||||
\(979\) | 9.91399i | 0.316852i | ||||||||
\(980\) | 4.66655 | − | 13.1994i | 0.149068 | − | 0.421638i | ||||
\(981\) | 19.9673i | 0.637507i | ||||||||
\(982\) | −3.19428 | + | 0.170368i | −0.101934 | + | 0.00543666i | ||||
\(983\) | −7.67846 | + | 13.2995i | −0.244905 | + | 0.424188i | −0.962105 | − | 0.272680i | \(-0.912090\pi\) |
0.717200 | + | 0.696867i | \(0.245423\pi\) | |||||||
\(984\) | −11.1848 | + | 29.3809i | −0.356559 | + | 0.936628i | ||||
\(985\) | −1.44139 | + | 0.832187i | −0.0459265 | + | 0.0265157i | ||||
\(986\) | −8.50617 | + | 16.7325i | −0.270892 | + | 0.532873i | ||||
\(987\) | −22.7998 | − | 12.0150i | −0.725725 | − | 0.382443i | ||||
\(988\) | −17.1267 | + | 12.4917i | −0.544872 | + | 0.397415i | ||||
\(989\) | 0.683392 | − | 0.394556i | 0.0217306 | − | 0.0125462i | ||||
\(990\) | −2.08750 | − | 3.20796i | −0.0663450 | − | 0.101956i | ||||
\(991\) | −20.0575 | − | 11.5802i | −0.637148 | − | 0.367857i | 0.146367 | − | 0.989230i | \(-0.453242\pi\) |
−0.783515 | + | 0.621373i | \(0.786575\pi\) | |||||||
\(992\) | −0.384004 | + | 1.46010i | −0.0121921 | + | 0.0463582i | ||||
\(993\) | 10.1419i | 0.321844i | ||||||||
\(994\) | −28.4121 | − | 13.0893i | −0.901176 | − | 0.415168i | ||||
\(995\) | 12.7940 | 0.405597 | ||||||||
\(996\) | −6.23107 | + | 14.0652i | −0.197439 | + | 0.445672i | ||||
\(997\) | −4.75443 | + | 8.23492i | −0.150574 | + | 0.260803i | −0.931439 | − | 0.363898i | \(-0.881446\pi\) |
0.780864 | + | 0.624701i | \(0.214779\pi\) | |||||||
\(998\) | 18.3124 | + | 28.1416i | 0.579670 | + | 0.890808i | ||||
\(999\) | 11.5092 | + | 19.9344i | 0.364133 | + | 0.630698i |
(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 | 280.2.bj.e.171.12 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.6 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.4 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.4 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.6 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.6 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.6 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.12 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.12 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.12 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.4 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.4 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.6 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.6 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.6 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.6 | 24 | 4.3 | odd | 2 |