Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.29 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.29 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.669082 | − | 1.24593i | 0.473112 | − | 0.881002i | ||||
\(3\) | 2.12679 | + | 0.569871i | 1.22790 | + | 0.329015i | 0.813762 | − | 0.581199i | \(-0.197416\pi\) |
0.414139 | + | 0.910214i | \(0.364083\pi\) | |||||||
\(4\) | −1.10466 | − | 1.66725i | −0.552329 | − | 0.833626i | ||||
\(5\) | 0.177544 | + | 2.22901i | 0.0793999 | + | 0.996843i | ||||
\(6\) | 2.13301 | − | 2.26853i | 0.870798 | − | 0.926122i | ||||
\(7\) | 2.48954 | + | 0.895661i | 0.940956 | + | 0.338528i | ||||
\(8\) | −2.81638 | + | 0.260793i | −0.995740 | + | 0.0922043i | ||||
\(9\) | 1.60039 | + | 0.923986i | 0.533463 | + | 0.307995i | ||||
\(10\) | 2.89597 | + | 1.27018i | 0.915786 | + | 0.401667i | ||||
\(11\) | 0.771347 | + | 1.33601i | 0.232570 | + | 0.402823i | 0.958564 | − | 0.284879i | \(-0.0919533\pi\) |
−0.725994 | + | 0.687701i | \(0.758620\pi\) | |||||||
\(12\) | −1.39925 | − | 4.17540i | −0.403930 | − | 1.20533i | ||||
\(13\) | −2.74298 | − | 2.74298i | −0.760764 | − | 0.760764i | 0.215696 | − | 0.976461i | \(-0.430798\pi\) |
−0.976461 | + | 0.215696i | \(0.930798\pi\) | |||||||
\(14\) | 2.78163 | − | 2.50250i | 0.743422 | − | 0.668822i | ||||
\(15\) | −0.892649 | + | 4.84180i | −0.230481 | + | 1.25015i | ||||
\(16\) | −1.55946 | + | 3.68349i | −0.389865 | + | 0.920872i | ||||
\(17\) | 0.761410 | − | 2.84162i | 0.184669 | − | 0.689195i | −0.810032 | − | 0.586386i | \(-0.800550\pi\) |
0.994701 | − | 0.102809i | \(-0.0327830\pi\) | |||||||
\(18\) | 2.22201 | − | 1.37574i | 0.523733 | − | 0.324266i | ||||
\(19\) | −5.92101 | − | 3.41850i | −1.35837 | − | 0.784258i | −0.368969 | − | 0.929442i | \(-0.620289\pi\) |
−0.989405 | + | 0.145184i | \(0.953623\pi\) | |||||||
\(20\) | 3.52019 | − | 2.75830i | 0.787139 | − | 0.616775i | ||||
\(21\) | 4.78430 | + | 3.32359i | 1.04402 | + | 0.725268i | ||||
\(22\) | 2.18066 | − | 0.0671387i | 0.464919 | − | 0.0143140i | ||||
\(23\) | 3.11339 | − | 0.834231i | 0.649187 | − | 0.173949i | 0.0808257 | − | 0.996728i | \(-0.474244\pi\) |
0.568361 | + | 0.822779i | \(0.307578\pi\) | |||||||
\(24\) | −6.13845 | − | 1.05032i | −1.25301 | − | 0.214396i | ||||
\(25\) | −4.93696 | + | 0.791493i | −0.987391 | + | 0.158299i | ||||
\(26\) | −5.25282 | + | 1.58227i | −1.03016 | + | 0.310308i | ||||
\(27\) | −1.79361 | − | 1.79361i | −0.345181 | − | 0.345181i | ||||
\(28\) | −1.25679 | − | 5.14008i | −0.237512 | − | 0.971385i | ||||
\(29\) | −0.336699 | −0.0625234 | −0.0312617 | − | 0.999511i | \(-0.509953\pi\) | ||||
−0.0312617 | + | 0.999511i | \(0.509953\pi\) | |||||||
\(30\) | 5.43527 | + | 4.35174i | 0.992339 | + | 0.794515i | ||||
\(31\) | −3.64240 | + | 2.10294i | −0.654195 | + | 0.377700i | −0.790062 | − | 0.613027i | \(-0.789952\pi\) |
0.135866 | + | 0.990727i | \(0.456618\pi\) | |||||||
\(32\) | 3.54594 | + | 4.40753i | 0.626840 | + | 0.779148i | ||||
\(33\) | 0.879135 | + | 3.28098i | 0.153038 | + | 0.571145i | ||||
\(34\) | −3.03100 | − | 2.84994i | −0.519813 | − | 0.488760i | ||||
\(35\) | −1.55444 | + | 5.70822i | −0.262748 | + | 0.964865i | ||||
\(36\) | −0.227367 | − | 3.68894i | −0.0378945 | − | 0.614824i | ||||
\(37\) | 1.32324 | + | 4.93839i | 0.217539 | + | 0.811867i | 0.985257 | + | 0.171079i | \(0.0547254\pi\) |
−0.767718 | + | 0.640788i | \(0.778608\pi\) | |||||||
\(38\) | −8.22084 | + | 5.08988i | −1.33360 | + | 0.825688i | ||||
\(39\) | −4.27058 | − | 7.39686i | −0.683840 | − | 1.18445i | ||||
\(40\) | −1.08134 | − | 6.23143i | −0.170975 | − | 0.985275i | ||||
\(41\) | 4.49493 | 0.701990 | 0.350995 | − | 0.936377i | \(-0.385843\pi\) | ||||
0.350995 | + | 0.936377i | \(0.385843\pi\) | |||||||
\(42\) | 7.34204 | − | 3.73712i | 1.13290 | − | 0.576650i | ||||
\(43\) | −0.152775 | + | 0.152775i | −0.0232980 | + | 0.0232980i | −0.718660 | − | 0.695362i | \(-0.755244\pi\) |
0.695362 | + | 0.718660i | \(0.255244\pi\) | |||||||
\(44\) | 1.37539 | − | 2.76187i | 0.207348 | − | 0.416367i | ||||
\(45\) | −1.77543 | + | 3.73133i | −0.264666 | + | 0.556234i | ||||
\(46\) | 1.04373 | − | 4.43722i | 0.153889 | − | 0.654232i | ||||
\(47\) | −2.69016 | − | 10.0398i | −0.392400 | − | 1.46446i | −0.826164 | − | 0.563429i | \(-0.809482\pi\) |
0.433765 | − | 0.901026i | \(-0.357185\pi\) | |||||||
\(48\) | −5.41575 | + | 6.94530i | −0.781696 | + | 1.00247i | ||||
\(49\) | 5.39558 | + | 4.45956i | 0.770797 | + | 0.637080i | ||||
\(50\) | −2.31709 | + | 6.68065i | −0.327686 | + | 0.944787i | ||||
\(51\) | 3.23871 | − | 5.60962i | 0.453511 | − | 0.785503i | ||||
\(52\) | −1.54318 | + | 7.60328i | −0.214001 | + | 1.05439i | ||||
\(53\) | −1.43525 | + | 5.35643i | −0.197147 | + | 0.735763i | 0.794554 | + | 0.607194i | \(0.207705\pi\) |
−0.991701 | + | 0.128569i | \(0.958962\pi\) | |||||||
\(54\) | −3.43478 | + | 1.03463i | −0.467414 | + | 0.140796i | ||||
\(55\) | −2.84103 | + | 1.95654i | −0.383085 | + | 0.263820i | ||||
\(56\) | −7.24506 | − | 1.87327i | −0.968162 | − | 0.250326i | ||||
\(57\) | −10.6446 | − | 10.6446i | −1.40992 | − | 1.40992i | ||||
\(58\) | −0.225279 | + | 0.419501i | −0.0295806 | + | 0.0550832i | ||||
\(59\) | 4.09717 | − | 2.36550i | 0.533406 | − | 0.307962i | −0.208997 | − | 0.977916i | \(-0.567020\pi\) |
0.742402 | + | 0.669955i | \(0.233686\pi\) | |||||||
\(60\) | 9.05858 | − | 3.86026i | 1.16946 | − | 0.498358i | ||||
\(61\) | 3.10186 | + | 1.79086i | 0.397152 | + | 0.229296i | 0.685254 | − | 0.728304i | \(-0.259691\pi\) |
−0.288102 | + | 0.957600i | \(0.593024\pi\) | |||||||
\(62\) | 0.183042 | + | 5.94521i | 0.0232464 | + | 0.755042i | ||||
\(63\) | 3.15665 | + | 3.73370i | 0.397701 | + | 0.470402i | ||||
\(64\) | 7.86397 | − | 1.46898i | 0.982997 | − | 0.183623i | ||||
\(65\) | 5.62712 | − | 6.60111i | 0.697958 | − | 0.818767i | ||||
\(66\) | 4.67607 | + | 1.09991i | 0.575584 | + | 0.135389i | ||||
\(67\) | −3.77188 | + | 14.0768i | −0.460808 | + | 1.71976i | 0.209618 | + | 0.977783i | \(0.432778\pi\) |
−0.670426 | + | 0.741976i | \(0.733889\pi\) | |||||||
\(68\) | −5.57880 | + | 1.86956i | −0.676529 | + | 0.226717i | ||||
\(69\) | 7.09692 | 0.854369 | ||||||||
\(70\) | 6.07196 | + | 5.75598i | 0.725739 | + | 0.687971i | ||||
\(71\) | − | 9.29571i | − | 1.10320i | −0.834109 | − | 0.551599i | \(-0.814018\pi\) | ||
0.834109 | − | 0.551599i | \(-0.185982\pi\) | |||||||
\(72\) | −4.74827 | − | 2.18492i | −0.559589 | − | 0.257496i | ||||
\(73\) | 14.3906 | + | 3.85594i | 1.68429 | + | 0.451304i | 0.968906 | − | 0.247430i | \(-0.0795859\pi\) |
0.715382 | + | 0.698733i | \(0.246253\pi\) | |||||||
\(74\) | 7.03822 | + | 1.65553i | 0.818177 | + | 0.192452i | ||||
\(75\) | −10.9509 | − | 1.13009i | −1.26450 | − | 0.130492i | ||||
\(76\) | 0.841198 | + | 13.6481i | 0.0964920 | + | 1.56554i | ||||
\(77\) | 0.723681 | + | 4.01691i | 0.0824711 | + | 0.457770i | ||||
\(78\) | −12.0733 | + | 0.371715i | −1.36703 | + | 0.0420885i | ||||
\(79\) | −3.18091 | + | 5.50950i | −0.357881 | + | 0.619868i | −0.987607 | − | 0.156950i | \(-0.949834\pi\) |
0.629726 | + | 0.776818i | \(0.283167\pi\) | |||||||
\(80\) | −8.48740 | − | 2.82207i | −0.948920 | − | 0.315517i | ||||
\(81\) | −5.56446 | − | 9.63792i | −0.618273 | − | 1.07088i | ||||
\(82\) | 3.00748 | − | 5.60035i | 0.332120 | − | 0.618455i | ||||
\(83\) | −11.6605 | + | 11.6605i | −1.27991 | + | 1.27991i | −0.339190 | + | 0.940718i | \(0.610153\pi\) |
−0.940718 | + | 0.339190i | \(0.889847\pi\) | |||||||
\(84\) | 0.256252 | − | 11.6481i | 0.0279594 | − | 1.27091i | ||||
\(85\) | 6.46918 | + | 1.19268i | 0.701681 | + | 0.129364i | ||||
\(86\) | 0.0881272 | + | 0.292565i | 0.00950300 | + | 0.0315481i | ||||
\(87\) | −0.716086 | − | 0.191875i | −0.0767725 | − | 0.0205711i | ||||
\(88\) | −2.52083 | − | 3.56155i | −0.268721 | − | 0.379663i | ||||
\(89\) | 6.46028 | + | 3.72985i | 0.684788 | + | 0.395363i | 0.801657 | − | 0.597785i | \(-0.203952\pi\) |
−0.116868 | + | 0.993147i | \(0.537286\pi\) | |||||||
\(90\) | 3.46105 | + | 4.70862i | 0.364827 | + | 0.496332i | ||||
\(91\) | −4.37196 | − | 9.28551i | −0.458306 | − | 0.973386i | ||||
\(92\) | −4.83011 | − | 4.26927i | −0.503573 | − | 0.445102i | ||||
\(93\) | −8.94502 | + | 2.39681i | −0.927556 | + | 0.248538i | ||||
\(94\) | −14.3088 | − | 3.36572i | −1.47584 | − | 0.347147i | ||||
\(95\) | 6.56863 | − | 13.8049i | 0.673927 | − | 1.41636i | ||||
\(96\) | 5.02974 | + | 11.3946i | 0.513346 | + | 1.16296i | ||||
\(97\) | −3.88781 | − | 3.88781i | −0.394748 | − | 0.394748i | 0.481628 | − | 0.876376i | \(-0.340046\pi\) |
−0.876376 | + | 0.481628i | \(0.840046\pi\) | |||||||
\(98\) | 9.16637 | − | 3.73868i | 0.925943 | − | 0.377663i | ||||
\(99\) | 2.85085i | 0.286521i | ||||||||
\(100\) | 6.77327 | + | 7.35682i | 0.677327 | + | 0.735682i | ||||
\(101\) | 0.345469 | − | 0.199457i | 0.0343755 | − | 0.0198467i | −0.482714 | − | 0.875778i | \(-0.660349\pi\) |
0.517089 | + | 0.855931i | \(0.327016\pi\) | |||||||
\(102\) | −4.82220 | − | 7.78849i | −0.477469 | − | 0.771175i | ||||
\(103\) | −14.4696 | + | 3.87710i | −1.42573 | + | 0.382023i | −0.887512 | − | 0.460785i | \(-0.847568\pi\) |
−0.538215 | + | 0.842807i | \(0.680901\pi\) | |||||||
\(104\) | 8.44060 | + | 7.00991i | 0.827669 | + | 0.687378i | ||||
\(105\) | −6.55890 | + | 11.2543i | −0.640083 | + | 1.09831i | ||||
\(106\) | 5.71341 | + | 5.37211i | 0.554936 | + | 0.521785i | ||||
\(107\) | 3.10564 | − | 0.832153i | 0.300233 | − | 0.0804472i | −0.105558 | − | 0.994413i | \(-0.533663\pi\) |
0.405791 | + | 0.913966i | \(0.366996\pi\) | |||||||
\(108\) | −1.00907 | + | 4.97173i | −0.0970982 | + | 0.478405i | ||||
\(109\) | 7.23208 | + | 12.5263i | 0.692707 | + | 1.19980i | 0.970947 | + | 0.239293i | \(0.0769155\pi\) |
−0.278240 | + | 0.960512i | \(0.589751\pi\) | |||||||
\(110\) | 0.536816 | + | 4.84880i | 0.0511834 | + | 0.462315i | ||||
\(111\) | 11.2570i | 1.06847i | ||||||||
\(112\) | −7.18149 | + | 7.77343i | −0.678587 | + | 0.734520i | ||||
\(113\) | 3.09474 | − | 3.09474i | 0.291129 | − | 0.291129i | −0.546397 | − | 0.837526i | \(-0.684001\pi\) |
0.837526 | + | 0.546397i | \(0.184001\pi\) | |||||||
\(114\) | −20.3845 | + | 6.14028i | −1.90919 | + | 0.575090i | ||||
\(115\) | 2.41227 | + | 6.79166i | 0.224945 | + | 0.633326i | ||||
\(116\) | 0.371937 | + | 0.561361i | 0.0345335 | + | 0.0521211i | ||||
\(117\) | −1.85536 | − | 6.92430i | −0.171528 | − | 0.640152i | ||||
\(118\) | −0.205895 | − | 6.68748i | −0.0189542 | − | 0.615632i | ||||
\(119\) | 4.44069 | − | 6.39235i | 0.407077 | − | 0.585986i | ||||
\(120\) | 1.25133 | − | 13.8691i | 0.114230 | − | 1.26607i | ||||
\(121\) | 4.31005 | − | 7.46522i | 0.391823 | − | 0.678657i | ||||
\(122\) | 4.30667 | − | 2.66645i | 0.389908 | − | 0.241409i | ||||
\(123\) | 9.55976 | + | 2.56153i | 0.861974 | + | 0.230965i | ||||
\(124\) | 7.52975 | + | 3.74977i | 0.676192 | + | 0.336740i | ||||
\(125\) | −2.64077 | − | 10.8640i | −0.236198 | − | 0.971705i | ||||
\(126\) | 6.76397 | − | 1.43480i | 0.602583 | − | 0.127822i | ||||
\(127\) | 10.0666 | − | 10.0666i | 0.893265 | − | 0.893265i | −0.101564 | − | 0.994829i | \(-0.532385\pi\) |
0.994829 | + | 0.101564i | \(0.0323846\pi\) | |||||||
\(128\) | 3.43140 | − | 10.7808i | 0.303296 | − | 0.952896i | ||||
\(129\) | −0.411982 | + | 0.237858i | −0.0362730 | + | 0.0209422i | ||||
\(130\) | −4.45949 | − | 11.4277i | −0.391123 | − | 1.00227i | ||||
\(131\) | 3.93727 | − | 6.81955i | 0.344001 | − | 0.595827i | −0.641171 | − | 0.767398i | \(-0.721551\pi\) |
0.985172 | + | 0.171571i | \(0.0548844\pi\) | |||||||
\(132\) | 4.49907 | − | 5.09010i | 0.391594 | − | 0.443036i | ||||
\(133\) | −11.6788 | − | 13.8137i | −1.01268 | − | 1.19780i | ||||
\(134\) | 15.0150 | + | 14.1180i | 1.29710 | + | 1.21961i | ||||
\(135\) | 3.67953 | − | 4.31642i | 0.316683 | − | 0.371498i | ||||
\(136\) | −1.40334 | + | 8.20165i | −0.120336 | + | 0.703286i | ||||
\(137\) | −4.01718 | + | 14.9923i | −0.343211 | + | 1.28088i | 0.551477 | + | 0.834190i | \(0.314064\pi\) |
−0.894688 | + | 0.446691i | \(0.852602\pi\) | |||||||
\(138\) | 4.74842 | − | 8.84223i | 0.404213 | − | 0.752701i | ||||
\(139\) | − | 21.0595i | − | 1.78624i | −0.449816 | − | 0.893121i | \(-0.648510\pi\) | ||
0.449816 | − | 0.893121i | \(-0.351490\pi\) | |||||||
\(140\) | 11.2342 | − | 3.71399i | 0.949459 | − | 0.313890i | ||||
\(141\) | − | 22.8855i | − | 1.92731i | ||||||
\(142\) | −11.5818 | − | 6.21959i | −0.971920 | − | 0.521937i | ||||
\(143\) | 1.54886 | − | 5.78043i | 0.129522 | − | 0.483384i | ||||
\(144\) | −5.89923 | + | 4.45410i | −0.491603 | + | 0.371175i | ||||
\(145\) | −0.0597787 | − | 0.750504i | −0.00496435 | − | 0.0623260i | ||||
\(146\) | 14.4327 | − | 15.3496i | 1.19446 | − | 1.27034i | ||||
\(147\) | 8.93387 | + | 12.5593i | 0.736853 | + | 1.03588i | ||||
\(148\) | 6.77182 | − | 7.66141i | 0.556640 | − | 0.629764i | ||||
\(149\) | 10.9354 | − | 18.9407i | 0.895864 | − | 1.55168i | 0.0631324 | − | 0.998005i | \(-0.479891\pi\) |
0.832732 | − | 0.553677i | \(-0.186776\pi\) | |||||||
\(150\) | −8.73506 | + | 12.8879i | −0.713215 | + | 1.05229i | ||||
\(151\) | −4.02948 | + | 2.32642i | −0.327914 | + | 0.189321i | −0.654915 | − | 0.755703i | \(-0.727295\pi\) |
0.327000 | + | 0.945024i | \(0.393962\pi\) | |||||||
\(152\) | 17.5673 | + | 8.08363i | 1.42490 | + | 0.655669i | ||||
\(153\) | 3.84417 | − | 3.84417i | 0.310783 | − | 0.310783i | ||||
\(154\) | 5.48898 | + | 1.78599i | 0.442314 | + | 0.143919i | ||||
\(155\) | −5.33416 | − | 7.74559i | −0.428450 | − | 0.622140i | ||||
\(156\) | −7.61490 | + | 15.2911i | −0.609680 | + | 1.22427i | ||||
\(157\) | −20.0771 | − | 5.37964i | −1.60233 | − | 0.429342i | −0.656582 | − | 0.754255i | \(-0.727998\pi\) |
−0.945744 | + | 0.324913i | \(0.894665\pi\) | |||||||
\(158\) | 4.73614 | + | 7.64949i | 0.376787 | + | 0.608561i | ||||
\(159\) | −6.10495 | + | 10.5741i | −0.484154 | + | 0.838579i | ||||
\(160\) | −9.19485 | + | 8.68647i | −0.726917 | + | 0.686725i | ||||
\(161\) | 8.49809 | + | 0.711697i | 0.669743 | + | 0.0560896i | ||||
\(162\) | −15.7312 | + | 0.484336i | −1.23596 | + | 0.0380530i | ||||
\(163\) | 2.75910 | + | 10.2971i | 0.216110 | + | 0.806532i | 0.985773 | + | 0.168082i | \(0.0537574\pi\) |
−0.769663 | + | 0.638450i | \(0.779576\pi\) | |||||||
\(164\) | −4.96536 | − | 7.49419i | −0.387730 | − | 0.585198i | ||||
\(165\) | −7.15724 | + | 2.54212i | −0.557191 | + | 0.197904i | ||||
\(166\) | 6.72629 | + | 22.3300i | 0.522061 | + | 1.73314i | ||||
\(167\) | 5.34844 | − | 5.34844i | 0.413874 | − | 0.413874i | −0.469211 | − | 0.883086i | \(-0.655462\pi\) |
0.883086 | + | 0.469211i | \(0.155462\pi\) | |||||||
\(168\) | −14.3412 | − | 8.11279i | −1.10645 | − | 0.625915i | ||||
\(169\) | 2.04783i | 0.157525i | ||||||||
\(170\) | 5.81440 | − | 7.26212i | 0.445944 | − | 0.556979i | ||||
\(171\) | −6.31729 | − | 10.9419i | −0.483095 | − | 0.836745i | ||||
\(172\) | 0.423479 | + | 0.0859503i | 0.0322899 | + | 0.00655365i | ||||
\(173\) | 20.0625 | − | 5.37574i | 1.52533 | − | 0.408710i | 0.603835 | − | 0.797109i | \(-0.293639\pi\) |
0.921491 | + | 0.388400i | \(0.126972\pi\) | |||||||
\(174\) | −0.718182 | + | 0.763809i | −0.0544452 | + | 0.0579042i | ||||
\(175\) | −12.9996 | − | 2.45139i | −0.982681 | − | 0.185308i | ||||
\(176\) | −6.12407 | + | 0.757790i | −0.461619 | + | 0.0571206i | ||||
\(177\) | 10.0618 | − | 2.69606i | 0.756293 | − | 0.202648i | ||||
\(178\) | 8.96957 | − | 5.55345i | 0.672297 | − | 0.416249i | ||||
\(179\) | 9.17373 | − | 5.29646i | 0.685677 | − | 0.395876i | −0.116314 | − | 0.993213i | \(-0.537108\pi\) |
0.801990 | + | 0.597337i | \(0.203774\pi\) | |||||||
\(180\) | 8.18232 | − | 1.16175i | 0.609874 | − | 0.0865919i | ||||
\(181\) | 4.75251i | 0.353251i | 0.984278 | + | 0.176626i | \(0.0565182\pi\) | ||||
−0.984278 | + | 0.176626i | \(0.943482\pi\) | |||||||
\(182\) | −14.4943 | − | 0.765637i | −1.07439 | − | 0.0567528i | ||||
\(183\) | 5.57643 | + | 5.57643i | 0.412221 | + | 0.412221i | ||||
\(184\) | −8.55093 | + | 3.16146i | −0.630383 | + | 0.233066i | ||||
\(185\) | −10.7728 | + | 3.82629i | −0.792031 | + | 0.281314i | ||||
\(186\) | −2.99871 | + | 12.7485i | −0.219876 | + | 0.934765i | ||||
\(187\) | 4.38375 | − | 1.17462i | 0.320572 | − | 0.0858969i | ||||
\(188\) | −13.7672 | + | 15.5757i | −1.00407 | + | 1.13598i | ||||
\(189\) | −2.85879 | − | 6.07173i | −0.207946 | − | 0.441653i | ||||
\(190\) | −12.8050 | − | 17.4206i | −0.928969 | − | 1.26383i | ||||
\(191\) | 1.33270 | + | 0.769434i | 0.0964307 | + | 0.0556743i | 0.547440 | − | 0.836845i | \(-0.315602\pi\) |
−0.451009 | + | 0.892519i | \(0.648936\pi\) | |||||||
\(192\) | 17.5621 | + | 1.35723i | 1.26744 | + | 0.0979499i | ||||
\(193\) | −13.9675 | − | 3.74257i | −1.00540 | − | 0.269396i | −0.281693 | − | 0.959504i | \(-0.590896\pi\) |
−0.723706 | + | 0.690109i | \(0.757563\pi\) | |||||||
\(194\) | −7.44519 | + | 2.24266i | −0.534533 | + | 0.161013i | ||||
\(195\) | 15.7295 | − | 10.8324i | 1.12641 | − | 0.775726i | ||||
\(196\) | 1.47494 | − | 13.9221i | 0.105353 | − | 0.994435i | ||||
\(197\) | −10.4335 | + | 10.4335i | −0.743355 | + | 0.743355i | −0.973222 | − | 0.229867i | \(-0.926171\pi\) |
0.229867 | + | 0.973222i | \(0.426171\pi\) | |||||||
\(198\) | 3.55195 | + | 1.90745i | 0.252426 | + | 0.135557i | ||||
\(199\) | 6.53097 | + | 11.3120i | 0.462969 | + | 0.801885i | 0.999107 | − | 0.0422449i | \(-0.0134510\pi\) |
−0.536139 | + | 0.844130i | \(0.680118\pi\) | |||||||
\(200\) | 13.6979 | − | 3.51667i | 0.968589 | − | 0.248666i | ||||
\(201\) | −16.0440 | + | 27.7889i | −1.13165 | + | 1.96008i | ||||
\(202\) | −0.0173609 | − | 0.563882i | −0.00122151 | − | 0.0396746i | ||||
\(203\) | −0.838223 | − | 0.301568i | −0.0588317 | − | 0.0211659i | ||||
\(204\) | −12.9303 | + | 0.796958i | −0.905303 | + | 0.0557982i | ||||
\(205\) | 0.798047 | + | 10.0192i | 0.0557380 | + | 0.699774i | ||||
\(206\) | −4.85074 | + | 20.6221i | −0.337967 | + | 1.43681i | ||||
\(207\) | 5.75346 | + | 1.54163i | 0.399893 | + | 0.107151i | ||||
\(208\) | 14.3813 | − | 5.82616i | 0.997162 | − | 0.403971i | ||||
\(209\) | − | 10.5474i | − | 0.729578i | ||||||
\(210\) | 9.63361 | + | 15.7020i | 0.664782 | + | 1.08354i | ||||
\(211\) | −4.84813 | −0.333759 | −0.166880 | − | 0.985977i | \(-0.553369\pi\) | ||||
−0.166880 | + | 0.985977i | \(0.553369\pi\) | |||||||
\(212\) | 10.5160 | − | 3.52410i | 0.722241 | − | 0.242036i | ||||
\(213\) | 5.29735 | − | 19.7700i | 0.362969 | − | 1.35462i | ||||
\(214\) | 1.04113 | − | 4.42617i | 0.0711699 | − | 0.302567i | ||||
\(215\) | −0.367661 | − | 0.313412i | −0.0250743 | − | 0.0213746i | ||||
\(216\) | 5.51925 | + | 4.58373i | 0.375537 | + | 0.311883i | ||||
\(217\) | −10.9514 | + | 1.97299i | −0.743431 | + | 0.133935i | ||||
\(218\) | 20.4457 | − | 0.629487i | 1.38476 | − | 0.0426342i | ||||
\(219\) | 28.4083 | + | 16.4015i | 1.91965 | + | 1.10831i | ||||
\(220\) | 6.40041 | + | 2.57541i | 0.431516 | + | 0.173634i | ||||
\(221\) | −9.88303 | + | 5.70597i | −0.664804 | + | 0.383825i | ||||
\(222\) | 14.0254 | + | 7.53184i | 0.941320 | + | 0.505504i | ||||
\(223\) | 8.31832 | + | 8.31832i | 0.557036 | + | 0.557036i | 0.928462 | − | 0.371426i | \(-0.121131\pi\) |
−0.371426 | + | 0.928462i | \(0.621131\pi\) | |||||||
\(224\) | 4.88010 | + | 14.1487i | 0.326066 | + | 0.945347i | ||||
\(225\) | −8.63239 | − | 3.29498i | −0.575492 | − | 0.219665i | ||||
\(226\) | −1.78518 | − | 5.92645i | −0.118748 | − | 0.394222i | ||||
\(227\) | −1.36817 | + | 5.10609i | −0.0908088 | + | 0.338903i | −0.996351 | − | 0.0853537i | \(-0.972798\pi\) |
0.905542 | + | 0.424257i | \(0.139465\pi\) | |||||||
\(228\) | −5.98860 | + | 29.5060i | −0.396605 | + | 1.95408i | ||||
\(229\) | −4.00388 | + | 6.93492i | −0.264584 | + | 0.458273i | −0.967455 | − | 0.253045i | \(-0.918568\pi\) |
0.702871 | + | 0.711318i | \(0.251901\pi\) | |||||||
\(230\) | 10.0759 | + | 1.53867i | 0.664386 | + | 0.101457i | ||||
\(231\) | −0.750006 | + | 8.95552i | −0.0493468 | + | 0.589230i | ||||
\(232\) | 0.948270 | − | 0.0878086i | 0.0622570 | − | 0.00576492i | ||||
\(233\) | 6.56859 | + | 24.5143i | 0.430323 | + | 1.60599i | 0.752018 | + | 0.659143i | \(0.229081\pi\) |
−0.321695 | + | 0.946843i | \(0.604253\pi\) | |||||||
\(234\) | −9.86855 | − | 2.32128i | −0.645127 | − | 0.151747i | ||||
\(235\) | 21.9012 | − | 7.77888i | 1.42868 | − | 0.507438i | ||||
\(236\) | −8.46985 | − | 4.21794i | −0.551340 | − | 0.274564i | ||||
\(237\) | −9.90483 | + | 9.90483i | −0.643388 | + | 0.643388i | ||||
\(238\) | −4.99321 | − | 9.80978i | −0.323662 | − | 0.635873i | ||||
\(239\) | −8.11361 | −0.524826 | −0.262413 | − | 0.964956i | \(-0.584518\pi\) | ||||
−0.262413 | + | 0.964956i | \(0.584518\pi\) | |||||||
\(240\) | −16.4427 | − | 10.8387i | −1.06137 | − | 0.699632i | ||||
\(241\) | −10.5408 | − | 18.2572i | −0.678991 | − | 1.17605i | −0.975285 | − | 0.220951i | \(-0.929084\pi\) |
0.296294 | − | 0.955097i | \(-0.404249\pi\) | |||||||
\(242\) | −6.41733 | − | 10.3648i | −0.412522 | − | 0.666277i | ||||
\(243\) | −4.37252 | − | 16.3185i | −0.280497 | − | 1.04683i | ||||
\(244\) | −0.440680 | − | 7.14986i | −0.0282117 | − | 0.457723i | ||||
\(245\) | −8.98245 | + | 12.8186i | −0.573868 | + | 0.818948i | ||||
\(246\) | 9.58774 | − | 10.1969i | 0.611292 | − | 0.650129i | ||||
\(247\) | 6.86434 | + | 25.6181i | 0.436767 | + | 1.63004i | ||||
\(248\) | 9.70996 | − | 6.87260i | 0.616583 | − | 0.436410i | ||||
\(249\) | −31.4444 | + | 18.1544i | −1.99271 | + | 1.15049i | ||||
\(250\) | −15.3026 | − | 3.97870i | −0.967822 | − | 0.251635i | ||||
\(251\) | −14.6307 | −0.923481 | −0.461740 | − | 0.887015i | \(-0.652775\pi\) | ||||
−0.461740 | + | 0.887015i | \(0.652775\pi\) | |||||||
\(252\) | 2.73800 | − | 9.38740i | 0.172478 | − | 0.591351i | ||||
\(253\) | 3.51604 | + | 3.51604i | 0.221052 | + | 0.221052i | ||||
\(254\) | −5.80684 | − | 19.2776i | −0.364354 | − | 1.20958i | ||||
\(255\) | 13.0789 | + | 6.22317i | 0.819032 | + | 0.389710i | ||||
\(256\) | −11.1362 | − | 11.4885i | −0.696011 | − | 0.718031i | ||||
\(257\) | 3.95612 | − | 1.06004i | 0.246776 | − | 0.0661234i | −0.133311 | − | 0.991074i | \(-0.542561\pi\) |
0.380087 | + | 0.924951i | \(0.375894\pi\) | |||||||
\(258\) | 0.0207034 | + | 0.672445i | 0.00128893 | + | 0.0418646i | ||||
\(259\) | −1.12888 | + | 13.4795i | −0.0701451 | + | 0.837574i | ||||
\(260\) | −17.2218 | − | 2.08985i | −1.06805 | − | 0.129607i | ||||
\(261\) | −0.538849 | − | 0.311105i | −0.0333539 | − | 0.0192569i | ||||
\(262\) | −5.86229 | − | 9.46838i | −0.362174 | − | 0.584958i | ||||
\(263\) | −0.988365 | + | 3.68863i | −0.0609452 | + | 0.227451i | −0.989680 | − | 0.143294i | \(-0.954231\pi\) |
0.928735 | + | 0.370744i | \(0.120897\pi\) | |||||||
\(264\) | −3.33163 | − | 9.01120i | −0.205048 | − | 0.554601i | ||||
\(265\) | −12.1944 | − | 2.24819i | −0.749093 | − | 0.138105i | ||||
\(266\) | −25.0249 | + | 5.30836i | −1.53437 | + | 0.325477i | ||||
\(267\) | 11.6141 | + | 11.6141i | 0.710772 | + | 0.710772i | ||||
\(268\) | 27.6363 | − | 9.26143i | 1.68815 | − | 0.565732i | ||||
\(269\) | 6.05854 | + | 10.4937i | 0.369396 | + | 0.639812i | 0.989471 | − | 0.144730i | \(-0.0462314\pi\) |
−0.620076 | + | 0.784542i | \(0.712898\pi\) | |||||||
\(270\) | −2.91603 | − | 7.47246i | −0.177464 | − | 0.454759i | ||||
\(271\) | 7.35021 | + | 4.24364i | 0.446493 | + | 0.257783i | 0.706348 | − | 0.707865i | \(-0.250341\pi\) |
−0.259855 | + | 0.965648i | \(0.583675\pi\) | |||||||
\(272\) | 9.27969 | + | 7.23604i | 0.562664 | + | 0.438749i | ||||
\(273\) | −4.00668 | − | 22.2398i | −0.242495 | − | 1.34601i | ||||
\(274\) | 15.9915 | + | 15.0362i | 0.966081 | + | 0.908370i | ||||
\(275\) | −4.86555 | − | 5.98532i | −0.293404 | − | 0.360928i | ||||
\(276\) | −7.83967 | − | 11.8324i | −0.471893 | − | 0.712224i | ||||
\(277\) | 4.28647 | + | 1.14856i | 0.257549 | + | 0.0690100i | 0.385283 | − | 0.922798i | \(-0.374104\pi\) |
−0.127734 | + | 0.991808i | \(0.540770\pi\) | |||||||
\(278\) | −26.2385 | − | 14.0905i | −1.57368 | − | 0.845094i | ||||
\(279\) | −7.77236 | −0.465319 | ||||||||
\(280\) | 2.88922 | − | 16.4819i | 0.172664 | − | 0.984981i | ||||
\(281\) | 17.8682 | 1.06593 | 0.532965 | − | 0.846137i | \(-0.321078\pi\) | ||||
0.532965 | + | 0.846137i | \(0.321078\pi\) | |||||||
\(282\) | −28.5137 | − | 15.3123i | −1.69796 | − | 0.911835i | ||||
\(283\) | −16.1933 | − | 4.33899i | −0.962593 | − | 0.257926i | −0.256895 | − | 0.966439i | \(-0.582700\pi\) |
−0.705697 | + | 0.708513i | \(0.749366\pi\) | |||||||
\(284\) | −15.4983 | + | 10.2686i | −0.919654 | + | 0.609328i | ||||
\(285\) | 21.8371 | − | 25.6169i | 1.29352 | − | 1.51741i | ||||
\(286\) | −6.16567 | − | 5.79735i | −0.364584 | − | 0.342804i | ||||
\(287\) | 11.1903 | + | 4.02594i | 0.660542 | + | 0.237644i | ||||
\(288\) | 1.60240 | + | 10.3302i | 0.0944225 | + | 0.608711i | ||||
\(289\) | 7.22736 | + | 4.17272i | 0.425139 | + | 0.245454i | ||||
\(290\) | −0.975068 | − | 0.427669i | −0.0572580 | − | 0.0251136i | ||||
\(291\) | −6.05300 | − | 10.4841i | −0.354833 | − | 0.614589i | ||||
\(292\) | −9.46783 | − | 28.2522i | −0.554063 | − | 1.65333i | ||||
\(293\) | 15.0721 | + | 15.0721i | 0.880520 | + | 0.880520i | 0.993587 | − | 0.113068i | \(-0.0360677\pi\) |
−0.113068 | + | 0.993587i | \(0.536068\pi\) | |||||||
\(294\) | 21.6255 | − | 2.72772i | 1.26122 | − | 0.159084i | ||||
\(295\) | 6.00014 | + | 8.71264i | 0.349342 | + | 0.507269i | ||||
\(296\) | −5.01464 | − | 13.5633i | −0.291470 | − | 0.788350i | ||||
\(297\) | 1.01279 | − | 3.77978i | 0.0587680 | − | 0.219325i | ||||
\(298\) | −16.2820 | − | 26.2976i | −0.943191 | − | 1.52338i | ||||
\(299\) | −10.8282 | − | 6.25168i | −0.626213 | − | 0.361544i | ||||
\(300\) | 10.2129 | + | 19.5063i | 0.589639 | + | 1.12620i | ||||
\(301\) | −0.517174 | + | 0.243504i | −0.0298094 | + | 0.0140353i | ||||
\(302\) | 0.202494 | + | 6.57699i | 0.0116522 | + | 0.378463i | ||||
\(303\) | 0.848404 | − | 0.227329i | 0.0487396 | − | 0.0130597i | ||||
\(304\) | 21.8256 | − | 16.4790i | 1.25178 | − | 0.945134i | ||||
\(305\) | −3.44112 | + | 7.23202i | −0.197038 | + | 0.414104i | ||||
\(306\) | −2.21748 | − | 7.36162i | −0.126765 | − | 0.420836i | ||||
\(307\) | −13.2570 | − | 13.2570i | −0.756618 | − | 0.756618i | 0.219087 | − | 0.975705i | \(-0.429692\pi\) |
−0.975705 | + | 0.219087i | \(0.929692\pi\) | |||||||
\(308\) | 5.89779 | − | 5.64388i | 0.336058 | − | 0.321590i | ||||
\(309\) | −32.9831 | −1.87634 | ||||||||
\(310\) | −13.2194 | + | 1.46354i | −0.750812 | + | 0.0831232i | ||||
\(311\) | −4.58291 | + | 2.64594i | −0.259873 | + | 0.150038i | −0.624277 | − | 0.781203i | \(-0.714606\pi\) |
0.364404 | + | 0.931241i | \(0.381273\pi\) | |||||||
\(312\) | 13.9566 | + | 19.7186i | 0.790138 | + | 1.11635i | ||||
\(313\) | −4.39016 | − | 16.3843i | −0.248146 | − | 0.926095i | −0.971776 | − | 0.235906i | \(-0.924194\pi\) |
0.723629 | − | 0.690189i | \(-0.242473\pi\) | |||||||
\(314\) | −20.1358 | + | 21.4151i | −1.13633 | + | 1.20853i | ||||
\(315\) | −7.76201 | + | 7.69910i | −0.437340 | + | 0.433795i | ||||
\(316\) | 12.6996 | − | 0.782735i | 0.714406 | − | 0.0440323i | ||||
\(317\) | −0.288913 | − | 1.07824i | −0.0162270 | − | 0.0605599i | 0.957338 | − | 0.288972i | \(-0.0933134\pi\) |
−0.973565 | + | 0.228412i | \(0.926647\pi\) | |||||||
\(318\) | 9.08980 | + | 14.6812i | 0.509731 | + | 0.823283i | ||||
\(319\) | −0.259711 | − | 0.449833i | −0.0145410 | − | 0.0251858i | ||||
\(320\) | 4.67058 | + | 17.2681i | 0.261093 | + | 0.965314i | ||||
\(321\) | 7.07924 | 0.395125 | ||||||||
\(322\) | 6.57264 | − | 10.1118i | 0.366279 | − | 0.563508i | ||||
\(323\) | −14.2224 | + | 14.2224i | −0.791356 | + | 0.791356i | ||||
\(324\) | −9.92202 | + | 19.9240i | −0.551224 | + | 1.10689i | ||||
\(325\) | 15.7130 | + | 11.3709i | 0.871600 | + | 0.630744i | ||||
\(326\) | 14.6755 | + | 3.45198i | 0.812801 | + | 0.191187i | ||||
\(327\) | 8.24270 | + | 30.7622i | 0.455822 | + | 1.70115i | ||||
\(328\) | −12.6594 | + | 1.17225i | −0.699000 | + | 0.0647265i | ||||
\(329\) | 2.29502 | − | 27.4039i | 0.126529 | − | 1.51083i | ||||
\(330\) | −1.62150 | + | 10.6183i | −0.0892604 | + | 0.584517i | ||||
\(331\) | 0.552262 | − | 0.956547i | 0.0303551 | − | 0.0525766i | −0.850449 | − | 0.526058i | \(-0.823670\pi\) |
0.880804 | + | 0.473481i | \(0.157003\pi\) | |||||||
\(332\) | 32.3219 | + | 6.56013i | 1.77390 | + | 0.360034i | ||||
\(333\) | −2.44531 | + | 9.12601i | −0.134002 | + | 0.500102i | ||||
\(334\) | −3.08521 | − | 10.2423i | −0.168815 | − | 0.560433i | ||||
\(335\) | −32.0471 | − | 5.90829i | −1.75092 | − | 0.322804i | ||||
\(336\) | −19.7033 | + | 12.4399i | −1.07491 | + | 0.678652i | ||||
\(337\) | 7.07301 | + | 7.07301i | 0.385292 | + | 0.385292i | 0.873004 | − | 0.487713i | \(-0.162169\pi\) |
−0.487713 | + | 0.873004i | \(0.662169\pi\) | |||||||
\(338\) | 2.55144 | + | 1.37016i | 0.138780 | + | 0.0745270i | ||||
\(339\) | 8.34545 | − | 4.81825i | 0.453263 | − | 0.261691i | ||||
\(340\) | −5.15774 | − | 12.1033i | −0.279718 | − | 0.656391i | ||||
\(341\) | −5.61911 | − | 3.24420i | −0.304292 | − | 0.175683i | ||||
\(342\) | −17.8595 | + | 0.549863i | −0.965733 | + | 0.0297332i | ||||
\(343\) | 9.43824 | + | 15.9349i | 0.509617 | + | 0.860401i | ||||
\(344\) | 0.390429 | − | 0.470115i | 0.0210505 | − | 0.0253469i | ||||
\(345\) | 1.26001 | + | 15.8191i | 0.0678368 | + | 0.851671i | ||||
\(346\) | 6.72571 | − | 28.5932i | 0.361576 | − | 1.53718i | ||||
\(347\) | −2.28528 | + | 8.52879i | −0.122680 | + | 0.457849i | −0.999746 | − | 0.0225206i | \(-0.992831\pi\) |
0.877066 | + | 0.480370i | \(0.159498\pi\) | |||||||
\(348\) | 0.471127 | + | 1.40585i | 0.0252550 | + | 0.0753615i | ||||
\(349\) | −0.944281 | −0.0505462 | −0.0252731 | − | 0.999681i | \(-0.508046\pi\) | ||||
−0.0252731 | + | 0.999681i | \(0.508046\pi\) | |||||||
\(350\) | −11.7521 | + | 14.5564i | −0.628175 | + | 0.778072i | ||||
\(351\) | 9.83966i | 0.525202i | ||||||||
\(352\) | −3.15335 | + | 8.13715i | −0.168074 | + | 0.433712i | ||||
\(353\) | 21.4427 | + | 5.74557i | 1.14128 | + | 0.305806i | 0.779467 | − | 0.626444i | \(-0.215490\pi\) |
0.361816 | + | 0.932250i | \(0.382157\pi\) | |||||||
\(354\) | 3.37310 | − | 14.3402i | 0.179278 | − | 0.762171i | ||||
\(355\) | 20.7202 | − | 1.65039i | 1.09971 | − | 0.0875938i | ||||
\(356\) | −0.917812 | − | 14.8911i | −0.0486439 | − | 0.789228i | ||||
\(357\) | 13.0872 | − | 11.0646i | 0.692649 | − | 0.585598i | ||||
\(358\) | −0.461008 | − | 14.9735i | −0.0243650 | − | 0.791376i | ||||
\(359\) | 3.82804 | − | 6.63035i | 0.202036 | − | 0.349937i | −0.747148 | − | 0.664657i | \(-0.768578\pi\) |
0.949184 | + | 0.314721i | \(0.101911\pi\) | |||||||
\(360\) | 4.02719 | − | 10.9719i | 0.212251 | − | 0.578268i | ||||
\(361\) | 13.8723 | + | 24.0275i | 0.730120 | + | 1.26460i | ||||
\(362\) | 5.92127 | + | 3.17982i | 0.311215 | + | 0.167128i | ||||
\(363\) | 13.4208 | − | 13.4208i | 0.704407 | − | 0.704407i | ||||
\(364\) | −10.6518 | + | 17.5465i | −0.558304 | + | 0.919685i | ||||
\(365\) | −6.03997 | + | 32.7613i | −0.316146 | + | 1.71480i | ||||
\(366\) | 10.6789 | − | 3.21672i | 0.558195 | − | 0.168141i | ||||
\(367\) | −16.4139 | − | 4.39808i | −0.856796 | − | 0.229578i | −0.196426 | − | 0.980519i | \(-0.562934\pi\) |
−0.660370 | + | 0.750941i | \(0.729600\pi\) | |||||||
\(368\) | −1.78233 | + | 12.7691i | −0.0929103 | + | 0.665635i | ||||
\(369\) | 7.19365 | + | 4.15325i | 0.374486 | + | 0.216210i | ||||
\(370\) | −2.44061 | + | 15.9822i | −0.126881 | + | 0.830874i | ||||
\(371\) | −8.37066 | + | 12.0495i | −0.434583 | + | 0.625581i | ||||
\(372\) | 13.8773 | + | 12.2659i | 0.719504 | + | 0.635960i | ||||
\(373\) | −12.7131 | + | 3.40645i | −0.658257 | + | 0.176380i | −0.572459 | − | 0.819933i | \(-0.694011\pi\) |
−0.0857979 | + | 0.996313i | \(0.527344\pi\) | |||||||
\(374\) | 1.46960 | − | 6.24774i | 0.0759911 | − | 0.323063i | ||||
\(375\) | 0.574720 | − | 24.6103i | 0.0296784 | − | 1.27087i | ||||
\(376\) | 10.1948 | + | 27.5743i | 0.525757 | + | 1.42204i | ||||
\(377\) | 0.923556 | + | 0.923556i | 0.0475655 | + | 0.0475655i | ||||
\(378\) | −9.47768 | − | 0.500644i | −0.487479 | − | 0.0257504i | ||||
\(379\) | 17.3953i | 0.893535i | 0.894650 | + | 0.446767i | \(0.147425\pi\) | ||||
−0.894650 | + | 0.446767i | \(0.852575\pi\) | |||||||
\(380\) | −30.2724 | + | 4.29817i | −1.55294 | + | 0.220491i | ||||
\(381\) | 27.1461 | − | 15.6728i | 1.39074 | − | 0.802943i | ||||
\(382\) | 1.85034 | − | 1.14563i | 0.0946717 | − | 0.0586154i | ||||
\(383\) | −4.55465 | + | 1.22041i | −0.232732 | + | 0.0623603i | −0.373300 | − | 0.927711i | \(-0.621774\pi\) |
0.140568 | + | 0.990071i | \(0.455107\pi\) | |||||||
\(384\) | 13.4415 | − | 20.9730i | 0.685934 | − | 1.07027i | ||||
\(385\) | −8.82525 | + | 2.32627i | −0.449776 | + | 0.118558i | ||||
\(386\) | −14.0083 | + | 14.8983i | −0.713005 | + | 0.758304i | ||||
\(387\) | −0.385662 | + | 0.103338i | −0.0196043 | + | 0.00525295i | ||||
\(388\) | −2.18726 | + | 10.7767i | −0.111041 | + | 0.547103i | ||||
\(389\) | −3.97530 | − | 6.88543i | −0.201556 | − | 0.349105i | 0.747474 | − | 0.664291i | \(-0.231266\pi\) |
−0.949030 | + | 0.315186i | \(0.897933\pi\) | |||||||
\(390\) | −2.97209 | − | 26.8455i | −0.150498 | − | 1.35937i | ||||
\(391\) | − | 9.48227i | − | 0.479539i | ||||||
\(392\) | −16.3590 | − | 11.1527i | −0.826255 | − | 0.563296i | ||||
\(393\) | 12.2600 | − | 12.2600i | 0.618435 | − | 0.618435i | ||||
\(394\) | 6.01848 | + | 19.9802i | 0.303207 | + | 1.00659i | ||||
\(395\) | −12.8455 | − | 6.11211i | −0.646326 | − | 0.307533i | ||||
\(396\) | 4.75309 | − | 3.14922i | 0.238852 | − | 0.158254i | ||||
\(397\) | −3.53607 | − | 13.1968i | −0.177470 | − | 0.662328i | −0.996118 | − | 0.0880318i | \(-0.971942\pi\) |
0.818647 | − | 0.574297i | \(-0.194724\pi\) | |||||||
\(398\) | 18.4636 | − | 0.568462i | 0.925498 | − | 0.0284944i | ||||
\(399\) | −16.9662 | − | 36.0342i | −0.849373 | − | 1.80397i | ||||
\(400\) | 4.78353 | − | 19.4195i | 0.239177 | − | 0.970976i | ||||
\(401\) | 8.03507 | − | 13.9172i | 0.401252 | − | 0.694990i | −0.592625 | − | 0.805479i | \(-0.701908\pi\) |
0.993877 | + | 0.110489i | \(0.0352417\pi\) | |||||||
\(402\) | 23.8882 | + | 38.5826i | 1.19144 | + | 1.92433i | ||||
\(403\) | 15.7593 | + | 4.22270i | 0.785029 | + | 0.210348i | ||||
\(404\) | −0.714171 | − | 0.355653i | −0.0355313 | − | 0.0176944i | ||||
\(405\) | 20.4951 | − | 14.1144i | 1.01841 | − | 0.701349i | ||||
\(406\) | −0.936571 | + | 0.842590i | −0.0464812 | + | 0.0418170i | ||||
\(407\) | −5.57707 | + | 5.57707i | −0.276445 | + | 0.276445i | ||||
\(408\) | −7.65849 | + | 16.6434i | −0.379152 | + | 0.823973i | ||||
\(409\) | 0.189558 | − | 0.109442i | 0.00937305 | − | 0.00541153i | −0.495306 | − | 0.868718i | \(-0.664944\pi\) |
0.504679 | + | 0.863307i | \(0.331611\pi\) | |||||||
\(410\) | 13.0172 | + | 5.70939i | 0.642873 | + | 0.281967i | ||||
\(411\) | −17.0874 | + | 29.5962i | −0.842858 | + | 1.45987i | ||||
\(412\) | 22.4480 | + | 19.8415i | 1.10593 | + | 0.977521i | ||||
\(413\) | 12.3187 | − | 2.21932i | 0.606165 | − | 0.109206i | ||||
\(414\) | 5.77030 | − | 6.13690i | 0.283595 | − | 0.301612i | ||||
\(415\) | −28.0616 | − | 23.9211i | −1.37749 | − | 1.17424i | ||||
\(416\) | 2.36330 | − | 21.8162i | 0.115870 | − | 1.06963i | ||||
\(417\) | 12.0012 | − | 44.7890i | 0.587701 | − | 2.19333i | ||||
\(418\) | −13.1413 | − | 7.05707i | −0.642760 | − | 0.345173i | ||||
\(419\) | − | 3.21999i | − | 0.157307i | −0.996902 | − | 0.0786535i | \(-0.974938\pi\) | ||
0.996902 | − | 0.0786535i | \(-0.0250621\pi\) | |||||||
\(420\) | 26.0091 | − | 1.49685i | 1.26912 | − | 0.0730390i | ||||
\(421\) | − | 17.6091i | − | 0.858216i | −0.903253 | − | 0.429108i | \(-0.858828\pi\) | ||
0.903253 | − | 0.429108i | \(-0.141172\pi\) | |||||||
\(422\) | −3.24380 | + | 6.04041i | −0.157906 | + | 0.294043i | ||||
\(423\) | 4.97133 | − | 18.5533i | 0.241714 | − | 0.902091i | ||||
\(424\) | 2.64529 | − | 15.4600i | 0.128467 | − | 0.750806i | ||||
\(425\) | −1.50993 | + | 14.6316i | −0.0732422 | + | 0.709738i | ||||
\(426\) | −21.0876 | − | 19.8278i | −1.02170 | − | 0.960662i | ||||
\(427\) | 6.11818 | + | 7.23662i | 0.296080 | + | 0.350204i | ||||
\(428\) | −4.81807 | − | 4.25863i | −0.232890 | − | 0.205849i | ||||
\(429\) | 6.58819 | − | 11.4111i | 0.318081 | − | 0.550933i | ||||
\(430\) | −0.636484 | + | 0.248379i | −0.0306940 | + | 0.0119779i | ||||
\(431\) | 12.3498 | − | 7.13015i | 0.594868 | − | 0.343447i | −0.172152 | − | 0.985070i | \(-0.555072\pi\) |
0.767020 | + | 0.641623i | \(0.221739\pi\) | |||||||
\(432\) | 9.40381 | − | 3.80968i | 0.452441 | − | 0.183293i | ||||
\(433\) | −10.8203 | + | 10.8203i | −0.519991 | + | 0.519991i | −0.917568 | − | 0.397578i | \(-0.869851\pi\) |
0.397578 | + | 0.917568i | \(0.369851\pi\) | |||||||
\(434\) | −4.86920 | + | 14.9647i | −0.233729 | + | 0.718331i | ||||
\(435\) | 0.300554 | − | 1.63023i | 0.0144104 | − | 0.0781634i | ||||
\(436\) | 12.8956 | − | 25.8950i | 0.617586 | − | 1.24015i | ||||
\(437\) | −21.2863 | − | 5.70363i | −1.01826 | − | 0.272842i | ||||
\(438\) | 39.4425 | − | 24.4206i | 1.88464 | − | 1.16686i | ||||
\(439\) | −1.25720 | + | 2.17754i | −0.0600029 | + | 0.103928i | −0.894466 | − | 0.447135i | \(-0.852444\pi\) |
0.834464 | + | 0.551063i | \(0.185778\pi\) | |||||||
\(440\) | 7.49117 | − | 6.25127i | 0.357128 | − | 0.298018i | ||||
\(441\) | 4.51446 | + | 12.1225i | 0.214974 | + | 0.577261i | ||||
\(442\) | 0.496653 | + | 16.1313i | 0.0236234 | + | 0.767286i | ||||
\(443\) | −8.13169 | − | 30.3479i | −0.386348 | − | 1.44187i | −0.836031 | − | 0.548683i | \(-0.815129\pi\) |
0.449682 | − | 0.893189i | \(-0.351537\pi\) | |||||||
\(444\) | 18.7682 | − | 12.4351i | 0.890701 | − | 0.590145i | ||||
\(445\) | −7.16687 | + | 15.0622i | −0.339742 | + | 0.714018i | ||||
\(446\) | 15.9296 | − | 4.79837i | 0.754291 | − | 0.227209i | ||||
\(447\) | 34.0510 | − | 34.0510i | 1.61056 | − | 1.61056i | ||||
\(448\) | 20.8934 | + | 3.38637i | 0.987118 | + | 0.159991i | ||||
\(449\) | 1.34771i | 0.0636023i | 0.999494 | + | 0.0318012i | \(0.0101243\pi\) | ||||
−0.999494 | + | 0.0318012i | \(0.989876\pi\) | |||||||
\(450\) | −9.88107 | + | 8.55069i | −0.465798 | + | 0.403084i | ||||
\(451\) | 3.46715 | + | 6.00528i | 0.163262 | + | 0.282778i | ||||
\(452\) | −8.57835 | − | 1.74108i | −0.403491 | − | 0.0818936i | ||||
\(453\) | −9.89559 | + | 2.65152i | −0.464936 | + | 0.124579i | ||||
\(454\) | 5.44639 | + | 5.12103i | 0.255612 | + | 0.240342i | ||||
\(455\) | 19.9213 | − | 11.3937i | 0.933924 | − | 0.534146i | ||||
\(456\) | 32.7553 | + | 27.2033i | 1.53391 | + | 1.27391i | ||||
\(457\) | −23.2276 | + | 6.22383i | −1.08654 | + | 0.291138i | −0.757274 | − | 0.653098i | \(-0.773469\pi\) |
−0.329269 | + | 0.944236i | \(0.606802\pi\) | |||||||
\(458\) | 5.96147 | + | 9.62857i | 0.278561 | + | 0.449913i | ||||
\(459\) | −6.46244 | + | 3.73109i | −0.301641 | + | 0.174152i | ||||
\(460\) | 8.65868 | − | 11.5243i | 0.403713 | − | 0.537325i | ||||
\(461\) | − | 2.71152i | − | 0.126288i | −0.998004 | − | 0.0631440i | \(-0.979887\pi\) | ||
0.998004 | − | 0.0631440i | \(-0.0201127\pi\) | |||||||
\(462\) | 10.6561 | + | 6.92643i | 0.495766 | + | 0.322247i | ||||
\(463\) | 16.5481 | + | 16.5481i | 0.769056 | + | 0.769056i | 0.977940 | − | 0.208884i | \(-0.0669831\pi\) |
−0.208884 | + | 0.977940i | \(0.566983\pi\) | |||||||
\(464\) | 0.525068 | − | 1.24023i | 0.0243757 | − | 0.0575760i | ||||
\(465\) | −6.93064 | − | 19.5130i | −0.321401 | − | 0.904893i | ||||
\(466\) | 34.9379 | + | 8.21812i | 1.61847 | + | 0.380697i | ||||
\(467\) | 7.44182 | − | 1.99403i | 0.344366 | − | 0.0922726i | −0.0824907 | − | 0.996592i | \(-0.526287\pi\) |
0.426857 | + | 0.904319i | \(0.359621\pi\) | |||||||
\(468\) | −9.49502 | + | 10.7423i | −0.438907 | + | 0.496565i | ||||
\(469\) | −21.9983 | + | 31.6665i | −1.01579 | + | 1.46222i | ||||
\(470\) | 4.96178 | − | 32.4919i | 0.228870 | − | 1.49874i | ||||
\(471\) | −39.6340 | − | 22.8827i | −1.82624 | − | 1.05438i | ||||
\(472\) | −10.9223 | + | 7.73065i | −0.502738 | + | 0.355832i | ||||
\(473\) | −0.321952 | − | 0.0862667i | −0.0148033 | − | 0.00396655i | ||||
\(474\) | 5.71353 | + | 18.9678i | 0.262431 | + | 0.871221i | ||||
\(475\) | 31.9375 | + | 12.1905i | 1.46539 | + | 0.559341i | ||||
\(476\) | −15.5631 | − | 0.342381i | −0.713334 | − | 0.0156930i | ||||
\(477\) | −7.24623 | + | 7.24623i | −0.331782 | + | 0.331782i | ||||
\(478\) | −5.42867 | + | 10.1090i | −0.248302 | + | 0.462373i | ||||
\(479\) | 10.6489 | + | 18.4445i | 0.486562 | + | 0.842749i | 0.999881 | − | 0.0154485i | \(-0.00491760\pi\) |
−0.513319 | + | 0.858198i | \(0.671584\pi\) | |||||||
\(480\) | −24.5056 | + | 13.2344i | −1.11852 | + | 0.604064i | ||||
\(481\) | 9.91628 | − | 17.1755i | 0.452143 | − | 0.783135i | ||||
\(482\) | −29.7997 | + | 0.917479i | −1.35734 | + | 0.0417900i | ||||
\(483\) | 17.6680 | + | 6.35644i | 0.803924 | + | 0.289228i | ||||
\(484\) | −17.2075 | + | 1.06058i | −0.782161 | + | 0.0482083i | ||||
\(485\) | 7.97571 | − | 9.35622i | 0.362158 | − | 0.424844i | ||||
\(486\) | −23.2572 | − | 5.47056i | −1.05497 | − | 0.248150i | ||||
\(487\) | −31.5897 | − | 8.46444i | −1.43147 | − | 0.383560i | −0.541930 | − | 0.840424i | \(-0.682306\pi\) |
−0.889537 | + | 0.456863i | \(0.848973\pi\) | |||||||
\(488\) | −9.20304 | − | 4.23479i | −0.416602 | − | 0.191700i | ||||
\(489\) | 23.4721i | 1.06144i | ||||||||
\(490\) | 9.96097 | + | 19.7681i | 0.449991 | + | 0.893033i | ||||
\(491\) | 23.3473 | 1.05365 | 0.526825 | − | 0.849974i | \(-0.323382\pi\) | ||||
0.526825 | + | 0.849974i | \(0.323382\pi\) | |||||||
\(492\) | −6.28955 | − | 18.7681i | −0.283555 | − | 0.846133i | ||||
\(493\) | −0.256366 | + | 0.956770i | −0.0115461 | + | 0.0430907i | ||||
\(494\) | 36.5110 | + | 8.58813i | 1.64271 | + | 0.386398i | ||||
\(495\) | −6.35457 | + | 0.506151i | −0.285617 | + | 0.0227498i | ||||
\(496\) | −2.06598 | − | 16.6962i | −0.0927654 | − | 0.749682i | ||||
\(497\) | 8.32581 | − | 23.1420i | 0.373464 | − | 1.03806i | ||||
\(498\) | 1.58018 | + | 51.3242i | 0.0708095 | + | 2.29989i | ||||
\(499\) | −15.2508 | − | 8.80506i | −0.682720 | − | 0.394168i | 0.118159 | − | 0.992995i | \(-0.462301\pi\) |
−0.800879 | + | 0.598826i | \(0.795634\pi\) | |||||||
\(500\) | −15.1959 | + | 16.4038i | −0.679580 | + | 0.733602i | ||||
\(501\) | 14.4229 | − | 8.32706i | 0.644367 | − | 0.372026i | ||||
\(502\) | −9.78913 | + | 18.2287i | −0.436910 | + | 0.813588i | ||||
\(503\) | −26.4408 | − | 26.4408i | −1.17894 | − | 1.17894i | −0.980015 | − | 0.198924i | \(-0.936255\pi\) |
−0.198924 | − | 0.980015i | \(-0.563745\pi\) | |||||||
\(504\) | −9.86405 | − | 9.69229i | −0.439380 | − | 0.431729i | ||||
\(505\) | 0.505927 | + | 0.734642i | 0.0225135 | + | 0.0326911i | ||||
\(506\) | 6.73325 | − | 2.02821i | 0.299330 | − | 0.0901647i | ||||
\(507\) | −1.16700 | + | 4.35529i | −0.0518281 | + | 0.193425i | ||||
\(508\) | −27.9037 | − | 5.66340i | −1.23803 | − | 0.251273i | ||||
\(509\) | −9.06961 | + | 15.7090i | −0.402003 | + | 0.696290i | −0.993968 | − | 0.109674i | \(-0.965019\pi\) |
0.591964 | + | 0.805964i | \(0.298353\pi\) | |||||||
\(510\) | 16.5045 | − | 12.1315i | 0.730830 | − | 0.537192i | ||||
\(511\) | 32.3722 | + | 22.4886i | 1.43206 | + | 0.994836i | ||||
\(512\) | −21.7648 | + | 6.18808i | −0.961878 | + | 0.273477i | ||||
\(513\) | 4.48854 | + | 16.7515i | 0.198174 | + | 0.739595i | ||||
\(514\) | 1.32624 | − | 5.63828i | 0.0584979 | − | 0.248694i | ||||
\(515\) | −11.2111 | − | 31.5644i | −0.494019 | − | 1.39089i | ||||
\(516\) | 0.851668 | + | 0.424126i | 0.0374926 | + | 0.0186711i | ||||
\(517\) | 11.3382 | − | 11.3382i | 0.498655 | − | 0.498655i | ||||
\(518\) | 16.0391 | + | 10.4254i | 0.704718 | + | 0.458065i | ||||
\(519\) | 45.7322 | 2.00742 | ||||||||
\(520\) | −14.1266 | + | 20.0587i | −0.619491 | + | 0.879634i | ||||
\(521\) | 11.3324 | + | 19.6283i | 0.496480 | + | 0.859929i | 0.999992 | − | 0.00405931i | \(-0.00129212\pi\) |
−0.503511 | + | 0.863989i | \(0.667959\pi\) | |||||||
\(522\) | −0.748147 | + | 0.463211i | −0.0327455 | + | 0.0202742i | ||||
\(523\) | −3.92192 | − | 14.6368i | −0.171494 | − | 0.640024i | −0.997122 | − | 0.0758095i | \(-0.975846\pi\) |
0.825629 | − | 0.564214i | \(-0.190821\pi\) | |||||||
\(524\) | −15.7192 | + | 0.968853i | −0.686698 | + | 0.0423245i | ||||
\(525\) | −26.2505 | − | 12.6217i | −1.14566 | − | 0.550856i | ||||
\(526\) | 3.93446 | + | 3.69943i | 0.171551 | + | 0.161303i | ||||
\(527\) | 3.20241 | + | 11.9515i | 0.139499 | + | 0.520617i | ||||
\(528\) | −13.4564 | − | 1.87827i | −0.585616 | − | 0.0817411i | ||||
\(529\) | −10.9213 | + | 6.30543i | −0.474840 | + | 0.274149i | ||||
\(530\) | −10.9601 | + | 13.6890i | −0.476076 | + | 0.594613i | ||||
\(531\) | 8.74275 | 0.379403 | ||||||||
\(532\) | −10.1299 | + | 34.7309i | −0.439186 | + | 1.50577i | ||||
\(533\) | −12.3295 | − | 12.3295i | −0.534049 | − | 0.534049i | ||||
\(534\) | 22.2411 | − | 6.69952i | 0.962466 | − | 0.289916i | ||||
\(535\) | 2.40626 | + | 6.77474i | 0.104032 | + | 0.292898i | ||||
\(536\) | 6.95189 | − | 40.6294i | 0.300276 | − | 1.75492i | ||||
\(537\) | 22.5289 | − | 6.03659i | 0.972192 | − | 0.260498i | ||||
\(538\) | 17.1280 | − | 0.527341i | 0.738441 | − | 0.0227353i | ||||
\(539\) | −1.79616 | + | 10.6484i | −0.0773663 | + | 0.458660i | ||||
\(540\) | −11.2612 | − | 1.36654i | −0.484604 | − | 0.0588064i | ||||
\(541\) | 6.70726 | + | 3.87244i | 0.288368 | + | 0.166489i | 0.637206 | − | 0.770694i | \(-0.280090\pi\) |
−0.348838 | + | 0.937183i | \(0.613424\pi\) | |||||||
\(542\) | 10.2052 | − | 6.31846i | 0.438349 | − | 0.271401i | ||||
\(543\) | −2.70832 | + | 10.1076i | −0.116225 | + | 0.433757i | ||||
\(544\) | 15.2244 | − | 6.72030i | 0.652742 | − | 0.288130i | ||||
\(545\) | −26.6373 | + | 18.3443i | −1.14102 | + | 0.785785i | ||||
\(546\) | −30.3899 | − | 9.88819i | −1.30057 | − | 0.423176i | ||||
\(547\) | −22.4471 | − | 22.4471i | −0.959770 | − | 0.959770i | 0.0394511 | − | 0.999222i | \(-0.487439\pi\) |
−0.999222 | + | 0.0394511i | \(0.987439\pi\) | |||||||
\(548\) | 29.4336 | − | 9.86375i | 1.25734 | − | 0.421358i | ||||
\(549\) | 3.30945 | + | 5.73214i | 0.141244 | + | 0.244642i | ||||
\(550\) | −10.7127 | + | 2.05744i | −0.456791 | + | 0.0877295i | ||||
\(551\) | 1.99360 | + | 1.15100i | 0.0849301 | + | 0.0490344i | ||||
\(552\) | −19.9876 | + | 1.85083i | −0.850729 | + | 0.0787764i | ||||
\(553\) | −12.8537 | + | 10.8671i | −0.546593 | + | 0.462116i | ||||
\(554\) | 4.29901 | − | 4.57214i | 0.182648 | − | 0.194252i | ||||
\(555\) | −25.0919 | + | 1.99861i | −1.06509 | + | 0.0848361i | ||||
\(556\) | −35.1115 | + | 23.2635i | −1.48906 | + | 0.986594i | ||||
\(557\) | 37.6396 | + | 10.0855i | 1.59484 | + | 0.427337i | 0.943480 | − | 0.331430i | \(-0.107531\pi\) |
0.651363 | + | 0.758767i | \(0.274198\pi\) | |||||||
\(558\) | −5.20035 | + | 9.68378i | −0.220148 | + | 0.409947i | ||||
\(559\) | 0.838116 | 0.0354485 | ||||||||
\(560\) | −18.6021 | − | 14.6275i | −0.786081 | − | 0.618124i | ||||
\(561\) | 9.99268 | 0.421891 | ||||||||
\(562\) | 11.9553 | − | 22.2625i | 0.504305 | − | 0.939086i | ||||
\(563\) | −15.9133 | − | 4.26397i | −0.670668 | − | 0.179705i | −0.0926121 | − | 0.995702i | \(-0.529522\pi\) |
−0.578056 | + | 0.815997i | \(0.696188\pi\) | |||||||
\(564\) | −38.1560 | + | 25.2807i | −1.60666 | + | 1.06451i | ||||
\(565\) | 7.44766 | + | 6.34875i | 0.313325 | + | 0.267094i | ||||
\(566\) | −16.2407 | + | 17.2725i | −0.682648 | + | 0.726018i | ||||
\(567\) | −5.22060 | − | 28.9778i | −0.219245 | − | 1.21695i | ||||
\(568\) | 2.42426 | + | 26.1802i | 0.101720 | + | 1.09850i | ||||
\(569\) | −39.0249 | − | 22.5310i | −1.63601 | − | 0.944550i | −0.982188 | − | 0.187899i | \(-0.939832\pi\) |
−0.653820 | − | 0.756650i | \(-0.726835\pi\) | |||||||
\(570\) | −17.3059 | − | 44.3471i | −0.724864 | − | 1.85750i | ||||
\(571\) | 14.0917 | + | 24.4076i | 0.589720 | + | 1.02142i | 0.994269 | + | 0.106908i | \(0.0340952\pi\) |
−0.404549 | + | 0.914516i | \(0.632571\pi\) | |||||||
\(572\) | −11.3484 | + | 3.80306i | −0.474500 | + | 0.159014i | ||||
\(573\) | 2.39589 | + | 2.39589i | 0.100090 | + | 0.100090i | ||||
\(574\) | 12.5032 | − | 11.2486i | 0.521875 | − | 0.469507i | ||||
\(575\) | −14.7104 | + | 6.58279i | −0.613466 | + | 0.274521i | ||||
\(576\) | 13.9427 | + | 4.91525i | 0.580948 | + | 0.204802i | ||||
\(577\) | 2.73670 | − | 10.2135i | 0.113930 | − | 0.425194i | −0.885274 | − | 0.465069i | \(-0.846029\pi\) |
0.999205 | + | 0.0398751i | \(0.0126960\pi\) | |||||||
\(578\) | 10.0346 | − | 6.21286i | 0.417384 | − | 0.258421i | ||||
\(579\) | −27.5730 | − | 15.9193i | −1.14589 | − | 0.661583i | ||||
\(580\) | −1.18524 | + | 0.928717i | −0.0492146 | + | 0.0385629i | ||||
\(581\) | −39.4732 | + | 18.5854i | −1.63762 | + | 0.771053i | ||||
\(582\) | −17.1124 | + | 0.526858i | −0.709330 | + | 0.0218390i | ||||
\(583\) | −8.26333 | + | 2.21415i | −0.342232 | + | 0.0917009i | ||||
\(584\) | −41.5349 | − | 7.10683i | −1.71873 | − | 0.294083i | ||||
\(585\) | 15.1049 | − | 5.36498i | 0.624511 | − | 0.221815i | ||||
\(586\) | 28.8631 | − | 8.69422i | 1.19232 | − | 0.359155i | ||||
\(587\) | −9.30588 | − | 9.30588i | −0.384095 | − | 0.384095i | 0.488480 | − | 0.872575i | \(-0.337551\pi\) |
−0.872575 | + | 0.488480i | \(0.837551\pi\) | |||||||
\(588\) | 11.0707 | − | 28.7688i | 0.456547 | − | 1.18640i | ||||
\(589\) | 28.7556 | 1.18486 | ||||||||
\(590\) | 14.8699 | − | 1.64626i | 0.612183 | − | 0.0677755i | ||||
\(591\) | −28.1355 | + | 16.2440i | −1.15734 | + | 0.668191i | ||||
\(592\) | −20.2540 | − | 2.82709i | −0.832436 | − | 0.116193i | ||||
\(593\) | −1.65528 | − | 6.17758i | −0.0679741 | − | 0.253683i | 0.923574 | − | 0.383419i | \(-0.125254\pi\) |
−0.991549 | + | 0.129736i | \(0.958587\pi\) | |||||||
\(594\) | −4.03168 | − | 3.79084i | −0.165422 | − | 0.155540i | ||||
\(595\) | 15.0370 | + | 8.76341i | 0.616458 | + | 0.359265i | ||||
\(596\) | −43.6588 | + | 2.69090i | −1.78833 | + | 0.110224i | ||||
\(597\) | 7.44362 | + | 27.7800i | 0.304647 | + | 1.13696i | ||||
\(598\) | −15.0341 | + | 9.30827i | −0.614790 | + | 0.380644i | ||||
\(599\) | −6.03328 | − | 10.4499i | −0.246513 | − | 0.426973i | 0.716043 | − | 0.698056i | \(-0.245952\pi\) |
−0.962556 | + | 0.271083i | \(0.912618\pi\) | |||||||
\(600\) | 31.1366 | + | 0.326846i | 1.27115 | + | 0.0133434i | ||||
\(601\) | −18.8198 | −0.767677 | −0.383839 | − | 0.923400i | \(-0.625398\pi\) | ||||
−0.383839 | + | 0.923400i | \(0.625398\pi\) | |||||||
\(602\) | −0.0426435 | + | 0.807284i | −0.00173802 | + | 0.0329024i | ||||
\(603\) | −19.0433 | + | 19.0433i | −0.775502 | + | 0.775502i | ||||
\(604\) | 8.32992 | + | 4.14826i | 0.338940 | + | 0.168790i | ||||
\(605\) | 17.4053 | + | 8.28173i | 0.707625 | + | 0.336700i | ||||
\(606\) | 0.284417 | − | 1.20915i | 0.0115536 | − | 0.0491184i | ||||
\(607\) | −6.05322 | − | 22.5909i | −0.245692 | − | 0.916937i | −0.973034 | − | 0.230661i | \(-0.925911\pi\) |
0.727342 | − | 0.686276i | \(-0.240756\pi\) | |||||||
\(608\) | −5.92846 | − | 38.2188i | −0.240431 | − | 1.54998i | ||||
\(609\) | −1.61087 | − | 1.11905i | −0.0652756 | − | 0.0453462i | ||||
\(610\) | 6.70816 | + | 9.12619i | 0.271605 | + | 0.369509i | ||||
\(611\) | −20.1599 | + | 34.9180i | −0.815582 | + | 1.41263i | ||||
\(612\) | −10.6557 | − | 2.16271i | −0.430731 | − | 0.0874223i | ||||
\(613\) | 10.0033 | − | 37.3328i | 0.404029 | − | 1.50786i | −0.401810 | − | 0.915723i | \(-0.631619\pi\) |
0.805839 | − | 0.592134i | \(-0.201715\pi\) | |||||||
\(614\) | −25.3873 | + | 7.64722i | −1.02455 | + | 0.308617i | ||||
\(615\) | −4.01240 | + | 21.7636i | −0.161795 | + | 0.877592i | ||||
\(616\) | −3.08574 | − | 11.1244i | −0.124328 | − | 0.448216i | ||||
\(617\) | 2.11502 | + | 2.11502i | 0.0851477 | + | 0.0851477i | 0.748398 | − | 0.663250i | \(-0.230823\pi\) |
−0.663250 | + | 0.748398i | \(0.730823\pi\) | |||||||
\(618\) | −22.0684 | + | 41.0945i | −0.887721 | + | 1.65306i | ||||
\(619\) | −10.8737 | + | 6.27792i | −0.437050 | + | 0.252331i | −0.702345 | − | 0.711836i | \(-0.747864\pi\) |
0.265296 | + | 0.964167i | \(0.414530\pi\) | |||||||
\(620\) | −7.02142 | + | 17.4496i | −0.281987 | + | 0.700794i | ||||
\(621\) | −7.08050 | − | 4.08793i | −0.284131 | − | 0.164043i | ||||
\(622\) | 0.230305 | + | 7.48031i | 0.00923440 | + | 0.299933i | ||||
\(623\) | 12.7424 | + | 15.0718i | 0.510515 | + | 0.603839i | ||||
\(624\) | 33.9061 | − | 4.19552i | 1.35733 | − | 0.167955i | ||||
\(625\) | 23.7471 | − | 7.81513i | 0.949883 | − | 0.312605i | ||||
\(626\) | −23.3510 | − | 5.49263i | −0.933293 | − | 0.219530i | ||||
\(627\) | 6.01065 | − | 22.4320i | 0.240042 | − | 0.895850i | ||||
\(628\) | 13.2091 | + | 39.4162i | 0.527101 | + | 1.57288i | ||||
\(629\) | 15.0406 | 0.599707 | ||||||||
\(630\) | 4.39907 | + | 14.8222i | 0.175263 | + | 0.590531i | ||||
\(631\) | − | 1.42400i | − | 0.0566885i | −0.999598 | − | 0.0283443i | \(-0.990977\pi\) | ||
0.999598 | − | 0.0283443i | \(-0.00902346\pi\) | |||||||
\(632\) | 7.52182 | − | 16.3464i | 0.299202 | − | 0.650225i | ||||
\(633\) | −10.3109 | − | 2.76281i | −0.409823 | − | 0.109812i | ||||
\(634\) | −1.53671 | − | 0.361466i | −0.0610306 | − | 0.0143556i | ||||
\(635\) | 24.2258 | + | 20.6513i | 0.961370 | + | 0.819520i | ||||
\(636\) | 24.3735 | − | 1.50226i | 0.966474 | − | 0.0595684i | ||||
\(637\) | −2.56747 | − | 27.0324i | −0.101727 | − | 1.07106i | ||||
\(638\) | −0.734226 | + | 0.0226055i | −0.0290683 | + | 0.000894961i | ||||
\(639\) | 8.58910 | − | 14.8768i | 0.339780 | − | 0.588516i | ||||
\(640\) | 24.6397 | + | 5.73456i | 0.973970 | + | 0.226678i | ||||
\(641\) | 6.69632 | + | 11.5984i | 0.264489 | + | 0.458108i | 0.967430 | − | 0.253140i | \(-0.0814635\pi\) |
−0.702941 | + | 0.711248i | \(0.748130\pi\) | |||||||
\(642\) | 4.73659 | − | 8.82020i | 0.186938 | − | 0.348106i | ||||
\(643\) | 3.26271 | − | 3.26271i | 0.128669 | − | 0.128669i | −0.639840 | − | 0.768508i | \(-0.720999\pi\) |
0.768508 | + | 0.639840i | \(0.220999\pi\) | |||||||
\(644\) | −8.20091 | − | 14.9546i | −0.323161 | − | 0.589295i | ||||
\(645\) | −0.603332 | − | 0.876080i | −0.0237562 | − | 0.0344956i | ||||
\(646\) | 8.20409 | + | 27.2360i | 0.322786 | + | 1.07159i | ||||
\(647\) | 5.50282 | + | 1.47448i | 0.216338 | + | 0.0579676i | 0.365360 | − | 0.930866i | \(-0.380946\pi\) |
−0.149022 | + | 0.988834i | \(0.547613\pi\) | |||||||
\(648\) | 18.1851 | + | 25.6929i | 0.714379 | + | 1.00931i | ||||
\(649\) | 6.32067 | + | 3.64924i | 0.248108 | + | 0.143245i | ||||
\(650\) | 24.6806 | − | 11.9691i | 0.968052 | − | 0.469468i | ||||
\(651\) | −24.4157 | − | 2.04476i | −0.956926 | − | 0.0801405i | ||||
\(652\) | 14.1200 | − | 15.9749i | 0.552983 | − | 0.625626i | ||||
\(653\) | −28.4991 | + | 7.63630i | −1.11526 | + | 0.298832i | −0.768962 | − | 0.639295i | \(-0.779226\pi\) |
−0.346293 | + | 0.938126i | \(0.612560\pi\) | |||||||
\(654\) | 43.8424 | + | 10.3126i | 1.71437 | + | 0.403256i | ||||
\(655\) | 15.8999 | + | 7.56544i | 0.621259 | + | 0.295606i | ||||
\(656\) | −7.00967 | + | 16.5570i | −0.273681 | + | 0.646443i | ||||
\(657\) | 19.4677 | + | 19.4677i | 0.759507 | + | 0.759507i | ||||
\(658\) | −32.6077 | − | 21.1949i | −1.27118 | − | 0.826263i | ||||
\(659\) | − | 14.7857i | − | 0.575967i | −0.957635 | − | 0.287984i | \(-0.907015\pi\) | ||
0.957635 | − | 0.287984i | \(-0.0929849\pi\) | |||||||
\(660\) | 12.1447 | + | 9.12476i | 0.472730 | + | 0.355181i | ||||
\(661\) | −17.0361 | + | 9.83581i | −0.662629 | + | 0.382569i | −0.793278 | − | 0.608860i | \(-0.791627\pi\) |
0.130649 | + | 0.991429i | \(0.458294\pi\) | |||||||
\(662\) | −0.822276 | − | 1.32809i | −0.0319587 | − | 0.0516175i | ||||
\(663\) | −24.2707 | + | 6.50333i | −0.942598 | + | 0.252568i | ||||
\(664\) | 29.7994 | − | 35.8814i | 1.15644 | − | 1.39247i | ||||
\(665\) | 28.7174 | − | 28.4846i | 1.11361 | − | 1.10459i | ||||
\(666\) | 9.73421 | + | 9.15272i | 0.377193 | + | 0.354661i | ||||
\(667\) | −1.04827 | + | 0.280884i | −0.0405893 | + | 0.0108759i | ||||
\(668\) | −14.8254 | − | 3.00900i | −0.573611 | − | 0.116422i | ||||
\(669\) | 12.9509 | + | 22.4317i | 0.500712 | + | 0.867258i | ||||
\(670\) | −28.8034 | + | 35.9751i | −1.11277 | + | 1.38984i | ||||
\(671\) | 5.52549i | 0.213309i | ||||||||
\(672\) | 2.31603 | + | 32.8722i | 0.0893429 | + | 1.26807i | ||||
\(673\) | 13.1762 | − | 13.1762i | 0.507905 | − | 0.507905i | −0.405978 | − | 0.913883i | \(-0.633069\pi\) |
0.913883 | + | 0.405978i | \(0.133069\pi\) | |||||||
\(674\) | 13.5449 | − | 4.08002i | 0.521729 | − | 0.157156i | ||||
\(675\) | 10.2746 | + | 7.43535i | 0.395470 | + | 0.286187i | ||||
\(676\) | 3.41424 | − | 2.26215i | 0.131317 | − | 0.0870057i | ||||
\(677\) | 4.41656 | + | 16.4828i | 0.169742 | + | 0.633487i | 0.997388 | + | 0.0722352i | \(0.0230132\pi\) |
−0.827645 | + | 0.561251i | \(0.810320\pi\) | |||||||
\(678\) | −0.419385 | − | 13.6216i | −0.0161064 | − | 0.523135i | ||||
\(679\) | −6.19669 | − | 13.1610i | −0.237807 | − | 0.505073i | ||||
\(680\) | −18.5307 | − | 1.67191i | −0.710620 | − | 0.0641150i | ||||
\(681\) | −5.81962 | + | 10.0799i | −0.223008 | + | 0.386262i | ||||
\(682\) | −7.80167 | + | 4.83036i | −0.298741 | + | 0.184964i | ||||
\(683\) | −24.2655 | − | 6.50191i | −0.928492 | − | 0.248789i | −0.237280 | − | 0.971441i | \(-0.576256\pi\) |
−0.691211 | + | 0.722653i | \(0.742923\pi\) | |||||||
\(684\) | −11.2644 | + | 22.6195i | −0.430705 | + | 0.864880i | ||||
\(685\) | −34.1312 | − | 6.29254i | −1.30409 | − | 0.240426i | ||||
\(686\) | 26.1686 | − | 1.09761i | 0.999122 | − | 0.0419068i | ||||
\(687\) | −12.4674 | + | 12.4674i | −0.475661 | + | 0.475661i | ||||
\(688\) | −0.324498 | − | 0.800991i | −0.0123714 | − | 0.0305375i | ||||
\(689\) | 18.6294 | − | 10.7557i | 0.709725 | − | 0.409760i | ||||
\(690\) | 20.5525 | + | 9.01439i | 0.782419 | + | 0.343172i | ||||
\(691\) | 11.6811 | − | 20.2323i | 0.444372 | − | 0.769674i | −0.553637 | − | 0.832758i | \(-0.686760\pi\) |
0.998008 | + | 0.0630843i | \(0.0200937\pi\) | |||||||
\(692\) | −31.1250 | − | 27.5109i | −1.18319 | − | 1.04581i | ||||
\(693\) | −2.55340 | + | 7.09730i | −0.0969956 | + | 0.269604i | ||||
\(694\) | 9.09719 | + | 8.55375i | 0.345325 | + | 0.324696i | ||||
\(695\) | 46.9418 | − | 3.73898i | 1.78060 | − | 0.141828i | ||||
\(696\) | 2.06681 | + | 0.353641i | 0.0783422 | + | 0.0134047i | ||||
\(697\) | 3.42249 | − | 12.7729i | 0.129636 | − | 0.483808i | ||||
\(698\) | −0.631802 | + | 1.17650i | −0.0239140 | + | 0.0445313i | ||||
\(699\) | 55.8800i | 2.11357i | ||||||||
\(700\) | 10.2731 | + | 24.3816i | 0.388286 | + | 0.921539i | ||||
\(701\) | − | 18.2178i | − | 0.688076i | −0.938956 | − | 0.344038i | \(-0.888205\pi\) | ||
0.938956 | − | 0.344038i | \(-0.111795\pi\) | |||||||
\(702\) | 12.2595 | + | 6.58354i | 0.462704 | + | 0.248480i | ||||
\(703\) | 9.04698 | − | 33.7638i | 0.341213 | − | 1.27343i | ||||
\(704\) | 8.02843 | + | 9.37326i | 0.302583 | + | 0.353268i | ||||
\(705\) | 51.0121 | − | 4.06318i | 1.92123 | − | 0.153028i | ||||
\(706\) | 21.5055 | − | 22.8718i | 0.809370 | − | 0.860792i | ||||
\(707\) | 1.03870 | − | 0.187131i | 0.0390645 | − | 0.00703780i | ||||
\(708\) | −15.6099 | − | 13.7974i | −0.586655 | − | 0.518537i | ||||
\(709\) | 23.7734 | − | 41.1767i | 0.892829 | − | 1.54642i | 0.0563594 | − | 0.998411i | \(-0.482051\pi\) |
0.836469 | − | 0.548014i | \(-0.184616\pi\) | |||||||
\(710\) | 11.8073 | − | 26.9201i | 0.443118 | − | 1.01029i | ||||
\(711\) | −10.1814 | + | 5.87824i | −0.381833 | + | 0.220451i | ||||
\(712\) | −19.1673 | − | 8.81986i | −0.718326 | − | 0.330538i | ||||
\(713\) | −9.58589 | + | 9.58589i | −0.358994 | + | 0.358994i | ||||
\(714\) | −5.02918 | − | 23.7088i | −0.188212 | − | 0.887279i | ||||
\(715\) | 13.1596 | + | 2.42615i | 0.492142 | + | 0.0907327i | ||||
\(716\) | −18.9644 | − | 9.44415i | −0.708732 | − | 0.352944i | ||||
\(717\) | −17.2559 | − | 4.62371i | −0.644434 | − | 0.172676i | ||||
\(718\) | −5.69965 | − | 9.20570i | −0.212709 | − | 0.343554i | ||||
\(719\) | 12.6375 | − | 21.8888i | 0.471300 | − | 0.816316i | −0.528161 | − | 0.849144i | \(-0.677118\pi\) |
0.999461 | + | 0.0328283i | \(0.0104515\pi\) | |||||||
\(720\) | −10.9756 | − | 12.3586i | −0.409036 | − | 0.460580i | ||||
\(721\) | −39.4950 | − | 3.30763i | −1.47087 | − | 0.123182i | ||||
\(722\) | 39.2181 | − | 1.20746i | 1.45955 | − | 0.0449369i | ||||
\(723\) | −12.0138 | − | 44.8360i | −0.446797 | − | 1.66747i | ||||
\(724\) | 7.92363 | − | 5.24990i | 0.294479 | − | 0.195111i | ||||
\(725\) | 1.66227 | − | 0.266494i | 0.0617350 | − | 0.00989735i | ||||
\(726\) | −7.74167 | − | 25.7009i | −0.287320 | − | 0.953848i | ||||
\(727\) | −7.04451 | + | 7.04451i | −0.261267 | + | 0.261267i | −0.825568 | − | 0.564302i | \(-0.809145\pi\) |
0.564302 | + | 0.825568i | \(0.309145\pi\) | |||||||
\(728\) | 14.7347 | + | 25.0113i | 0.546104 | + | 0.926982i | ||||
\(729\) | − | 3.81092i | − | 0.141145i | ||||||
\(730\) | 36.7769 | + | 29.4453i | 1.36117 | + | 1.08982i | ||||
\(731\) | 0.317804 | + | 0.550453i | 0.0117544 | + | 0.0203592i | ||||
\(732\) | 3.13726 | − | 15.4574i | 0.115957 | − | 0.571320i | ||||
\(733\) | −6.78810 | + | 1.81887i | −0.250724 | + | 0.0671813i | −0.381992 | − | 0.924166i | \(-0.624762\pi\) |
0.131268 | + | 0.991347i | \(0.458095\pi\) | |||||||
\(734\) | −16.4619 | + | 17.5078i | −0.607619 | + | 0.646223i | ||||
\(735\) | −26.4087 | + | 22.1435i | −0.974099 | + | 0.816775i | ||||
\(736\) | 14.7168 | + | 10.7642i | 0.542469 | + | 0.396774i | ||||
\(737\) | −21.7162 | + | 5.81885i | −0.799928 | + | 0.214340i | ||||
\(738\) | 9.98778 | − | 6.18388i | 0.367655 | − | 0.227632i | ||||
\(739\) | 13.8328 | − | 7.98639i | 0.508849 | − | 0.293784i | −0.223512 | − | 0.974701i | \(-0.571752\pi\) |
0.732360 | + | 0.680917i | \(0.238419\pi\) | |||||||
\(740\) | 18.2796 | + | 13.7342i | 0.671973 | + | 0.504880i | ||||
\(741\) | 58.3959i | 2.14523i | ||||||||
\(742\) | 9.41216 | + | 18.4913i | 0.345531 | + | 0.678839i | ||||
\(743\) | −20.8987 | − | 20.8987i | −0.766697 | − | 0.766697i | 0.210826 | − | 0.977524i | \(-0.432385\pi\) |
−0.977524 | + | 0.210826i | \(0.932385\pi\) | |||||||
\(744\) | 24.5675 | − | 9.08313i | 0.900688 | − | 0.333004i | ||||
\(745\) | 44.1605 | + | 21.0123i | 1.61791 | + | 0.769832i | ||||
\(746\) | −4.26189 | + | 18.1187i | −0.156039 | + | 0.663373i | ||||
\(747\) | −29.4355 | + | 7.88723i | −1.07699 | + | 0.288579i | ||||
\(748\) | −6.80094 | − | 6.01126i | −0.248667 | − | 0.219793i | ||||
\(749\) | 8.47692 | + | 0.709924i | 0.309740 | + | 0.0259401i | ||||
\(750\) | −30.2780 | − | 17.1824i | −1.10560 | − | 0.627411i | ||||
\(751\) | −1.59601 | − | 0.921455i | −0.0582391 | − | 0.0336244i | 0.470598 | − | 0.882348i | \(-0.344038\pi\) |
−0.528837 | + | 0.848724i | \(0.677372\pi\) | |||||||
\(752\) | 41.1767 | + | 5.74750i | 1.50156 | + | 0.209590i | ||||
\(753\) | −31.1163 | − | 8.33760i | −1.13394 | − | 0.303839i | ||||
\(754\) | 1.76862 | − | 0.532747i | 0.0644092 | − | 0.0194015i | ||||
\(755\) | −5.90102 | − | 8.56870i | −0.214760 | − | 0.311847i | ||||
\(756\) | −6.96511 | + | 11.4735i | −0.253319 | + | 0.417288i | ||||
\(757\) | 17.2691 | − | 17.2691i | 0.627656 | − | 0.627656i | −0.319821 | − | 0.947478i | \(-0.603623\pi\) |
0.947478 | + | 0.319821i | \(0.103623\pi\) | |||||||
\(758\) | 21.6732 | + | 11.6389i | 0.787206 | + | 0.422742i | ||||
\(759\) | 5.47418 | + | 9.48157i | 0.198700 | + | 0.344159i | ||||
\(760\) | −14.8995 | + | 40.5929i | −0.540462 | + | 1.47246i | ||||
\(761\) | −10.9251 | + | 18.9228i | −0.396033 | + | 0.685949i | −0.993232 | − | 0.116143i | \(-0.962947\pi\) |
0.597199 | + | 0.802093i | \(0.296280\pi\) | |||||||
\(762\) | −1.36418 | − | 44.3085i | −0.0494189 | − | 1.60513i | ||||
\(763\) | 6.78517 | + | 37.6622i | 0.245640 | + | 1.36346i | ||||
\(764\) | −0.189336 | − | 3.07191i | −0.00684995 | − | 0.111138i | ||||
\(765\) | 9.25120 | + | 7.88618i | 0.334478 | + | 0.285126i | ||||
\(766\) | −1.52689 | + | 6.49131i | −0.0551688 | + | 0.234541i | ||||
\(767\) | −17.7269 | − | 4.74992i | −0.640082 | − | 0.171510i | ||||
\(768\) | −17.1373 | − | 30.7798i | −0.618389 | − | 1.11067i | ||||
\(769\) | 2.80624i | 0.101196i | 0.998719 | + | 0.0505978i | \(0.0161127\pi\) | ||||
−0.998719 | + | 0.0505978i | \(0.983887\pi\) | |||||||
\(770\) | −3.00646 | + | 12.5521i | −0.108345 | + | 0.452345i | ||||
\(771\) | 9.01791 | 0.324772 | ||||||||
\(772\) | 9.18946 | + | 27.4215i | 0.330736 | + | 0.986922i | ||||
\(773\) | 6.38366 | − | 23.8241i | 0.229604 | − | 0.856895i | −0.750903 | − | 0.660412i | \(-0.770382\pi\) |
0.980507 | − | 0.196482i | \(-0.0629518\pi\) | |||||||
\(774\) | −0.129288 | + | 0.549647i | −0.00464717 | + | 0.0197566i | ||||
\(775\) | 16.3179 | − | 13.2651i | 0.586157 | − | 0.476496i | ||||
\(776\) | 11.9635 | + | 9.93564i | 0.429463 | + | 0.356669i | ||||
\(777\) | −10.0824 | + | 28.0247i | −0.361706 | + | 1.00538i | ||||
\(778\) | −11.2385 | + | 0.346014i | −0.402921 | + | 0.0124052i | ||||
\(779\) | −26.6146 | − | 15.3659i | −0.953566 | − | 0.550541i | ||||
\(780\) | −35.4361 | − | 14.2588i | −1.26881 | − | 0.510548i | ||||
\(781\) | 12.4192 | − | 7.17021i | 0.444393 | − | 0.256570i | ||||
\(782\) | −11.8142 | − | 6.34442i | −0.422475 | − | 0.226876i | ||||
\(783\) | 0.603906 | + | 0.603906i | 0.0215818 | + | 0.0215818i | ||||
\(784\) | −24.8409 | + | 12.9201i | −0.887176 | + | 0.461430i | ||||
\(785\) | 8.42670 | − | 45.7071i | 0.300762 | − | 1.63136i | ||||
\(786\) | −7.07209 | − | 23.4780i | −0.252253 | − | 0.837431i | ||||
\(787\) | 0.803161 | − | 2.99744i | 0.0286296 | − | 0.106847i | −0.950133 | − | 0.311846i | \(-0.899053\pi\) |
0.978762 | + | 0.204999i | \(0.0657192\pi\) | |||||||
\(788\) | 28.9207 | + | 5.86981i | 1.03026 | + | 0.209103i | ||||
\(789\) | −4.20408 | + | 7.28169i | −0.149669 | + | 0.259235i | ||||
\(790\) | −16.2099 | + | 11.9150i | −0.576723 | + | 0.423917i | ||||
\(791\) | 10.4763 | − | 4.93263i | 0.372495 | − | 0.175384i | ||||
\(792\) | −0.743483 | − | 8.02908i | −0.0264185 | − | 0.285301i | ||||
\(793\) | −3.59604 | − | 13.4206i | −0.127699 | − | 0.476579i | ||||
\(794\) | −18.8081 | − | 4.42406i | −0.667476 | − | 0.157004i | ||||
\(795\) | −24.6536 | − | 11.7306i | −0.874373 | − | 0.416042i | ||||
\(796\) | 11.6454 | − | 23.3847i | 0.412761 | − | 0.828847i | ||||
\(797\) | −30.4715 | + | 30.4715i | −1.07935 | + | 1.07935i | −0.0827874 | + | 0.996567i | \(0.526382\pi\) |
−0.996567 | + | 0.0827874i | \(0.973618\pi\) | |||||||
\(798\) | −56.2477 | − | 2.97120i | −1.99115 | − | 0.105179i | ||||
\(799\) | −30.5776 | −1.08176 | ||||||||
\(800\) | −20.9947 | − | 18.9532i | −0.742275 | − | 0.670096i | ||||
\(801\) | 6.89265 | + | 11.9384i | 0.243540 | + | 0.421823i | ||||
\(802\) | −11.9636 | − | 19.3228i | −0.422450 | − | 0.682312i | ||||
\(803\) | 5.94853 | + | 22.2002i | 0.209919 | + | 0.783429i | ||||
\(804\) | 64.0543 | − | 3.94797i | 2.25902 | − | 0.139234i | ||||
\(805\) | −0.0775969 | + | 19.0687i | −0.00273493 | + | 0.672082i | ||||
\(806\) | 15.8055 | − | 16.8096i | 0.556724 | − | 0.592094i | ||||
\(807\) | 6.90517 | + | 25.7704i | 0.243073 | + | 0.907162i | ||||
\(808\) | −0.920956 | + | 0.651842i | −0.0323991 | + | 0.0229317i | ||||
\(809\) | 29.7918 | − | 17.2003i | 1.04743 | − | 0.604731i | 0.125498 | − | 0.992094i | \(-0.459947\pi\) |
0.921927 | + | 0.387363i | \(0.126614\pi\) | |||||||
\(810\) | −3.87256 | − | 34.9790i | −0.136068 | − | 1.22904i | ||||
\(811\) | 48.8974 | 1.71702 | 0.858509 | − | 0.512798i | \(-0.171391\pi\) | ||||
0.858509 | + | 0.512798i | \(0.171391\pi\) | |||||||
\(812\) | 0.423161 | + | 1.73066i | 0.0148500 | + | 0.0607342i | ||||
\(813\) | 13.2140 | + | 13.2140i | 0.463435 | + | 0.463435i | ||||
\(814\) | 3.21710 | + | 10.6801i | 0.112759 | + | 0.374339i | ||||
\(815\) | −22.4625 | + | 7.97825i | −0.786827 | + | 0.279466i | ||||
\(816\) | 15.6123 | + | 20.6777i | 0.546540 | + | 0.723865i | ||||
\(817\) | 1.42684 | − | 0.382322i | 0.0499190 | − | 0.0133757i | ||||
\(818\) | −0.00952589 | − | 0.309401i | −0.000333065 | − | 0.0108179i | ||||
\(819\) | 1.58284 | − | 18.9001i | 0.0553089 | − | 0.660422i | ||||
\(820\) | 15.8230 | − | 12.3984i | 0.552564 | − | 0.432970i | ||||
\(821\) | 5.48170 | + | 3.16486i | 0.191313 | + | 0.110454i | 0.592597 | − | 0.805499i | \(-0.298103\pi\) |
−0.401284 | + | 0.915954i | \(0.631436\pi\) | |||||||
\(822\) | 25.4418 | + | 41.0919i | 0.887384 | + | 1.43324i | ||||
\(823\) | 4.31621 | − | 16.1083i | 0.150454 | − | 0.561500i | −0.848998 | − | 0.528395i | \(-0.822794\pi\) |
0.999452 | − | 0.0331047i | \(-0.0105395\pi\) | |||||||
\(824\) | 39.7406 | − | 14.6930i | 1.38443 | − | 0.511853i | ||||
\(825\) | −6.93712 | − | 15.5022i | −0.241520 | − | 0.539718i | ||||
\(826\) | 5.47713 | − | 16.8331i | 0.190574 | − | 0.585699i | ||||
\(827\) | 34.8739 | + | 34.8739i | 1.21268 | + | 1.21268i | 0.970141 | + | 0.242543i | \(0.0779814\pi\) |
0.242543 | + | 0.970141i | \(0.422019\pi\) | |||||||
\(828\) | −3.78531 | − | 11.2954i | −0.131549 | − | 0.392544i | ||||
\(829\) | −14.6324 | − | 25.3441i | −0.508205 | − | 0.880237i | −0.999955 | − | 0.00950025i | \(-0.996976\pi\) |
0.491750 | − | 0.870736i | \(-0.336357\pi\) | |||||||
\(830\) | −48.5795 | + | 18.9575i | −1.68622 | + | 0.658024i | ||||
\(831\) | 8.46187 | + | 4.88547i | 0.293539 | + | 0.169475i | ||||
\(832\) | −25.6001 | − | 17.5413i | −0.887523 | − | 0.608135i | ||||
\(833\) | 16.7806 | − | 11.9366i | 0.581415 | − | 0.413580i | ||||
\(834\) | −47.7740 | − | 44.9201i | −1.65428 | − | 1.55546i | ||||
\(835\) | 12.8713 | + | 10.9721i | 0.445429 | + | 0.379706i | ||||
\(836\) | −17.5852 | + | 11.6513i | −0.608195 | + | 0.402967i | ||||
\(837\) | 10.3049 | + | 2.76119i | 0.356190 | + | 0.0954409i | ||||
\(838\) | −4.01187 | − | 2.15444i | −0.138588 | − | 0.0744239i | ||||
\(839\) | −37.0618 | −1.27952 | −0.639758 | − | 0.768576i | \(-0.720965\pi\) | ||||
−0.639758 | + | 0.768576i | \(0.720965\pi\) | |||||||
\(840\) | 15.5373 | − | 33.4070i | 0.536087 | − | 1.15265i | ||||
\(841\) | −28.8866 | −0.996091 | ||||||||
\(842\) | −21.9396 | − | 11.7819i | −0.756090 | − | 0.406033i | ||||
\(843\) | 38.0019 | + | 10.1826i | 1.30886 | + | 0.350707i | ||||
\(844\) | 5.35553 | + | 8.08306i | 0.184345 | + | 0.278230i | ||||
\(845\) | −4.56462 | + | 0.363578i | −0.157028 | + | 0.0125075i | ||||
\(846\) | −19.7897 | − | 18.6076i | −0.680385 | − | 0.639741i | ||||
\(847\) | 17.4163 | − | 14.7246i | 0.598432 | − | 0.505943i | ||||
\(848\) | −17.4921 | − | 13.6399i | −0.600683 | − | 0.468395i | ||||
\(849\) | −31.9671 | − | 18.4562i | −1.09711 | − | 0.633415i | ||||
\(850\) | 17.2196 | + | 11.6710i | 0.590628 | + | 0.400312i | ||||
\(851\) | 8.23952 | + | 14.2713i | 0.282447 | + | 0.489213i | ||||
\(852\) | −38.8133 | + | 13.0071i | −1.32972 | + | 0.445615i | ||||
\(853\) | 33.8054 | + | 33.8054i | 1.15748 | + | 1.15748i | 0.985017 | + | 0.172458i | \(0.0551710\pi\) |
0.172458 | + | 0.985017i | \(0.444829\pi\) | |||||||
\(854\) | 13.1098 | − | 2.78090i | 0.448610 | − | 0.0951606i | ||||
\(855\) | 23.2679 | − | 16.0240i | 0.795746 | − | 0.548008i | ||||
\(856\) | −8.52963 | + | 3.15358i | −0.291537 | + | 0.107787i | ||||
\(857\) | −9.56329 | + | 35.6907i | −0.326676 | + | 1.21917i | 0.585941 | + | 0.810354i | \(0.300725\pi\) |
−0.912617 | + | 0.408816i | \(0.865942\pi\) | |||||||
\(858\) | −9.80932 | − | 15.8434i | −0.334885 | − | 0.540883i | ||||
\(859\) | −22.2364 | − | 12.8382i | −0.758695 | − | 0.438032i | 0.0701323 | − | 0.997538i | \(-0.477658\pi\) |
−0.828827 | + | 0.559505i | \(0.810991\pi\) | |||||||
\(860\) | −0.116398 | + | 0.959197i | −0.00396914 | + | 0.0327084i | ||||
\(861\) | 21.5051 | + | 14.9393i | 0.732892 | + | 0.509131i | ||||
\(862\) | −0.620615 | − | 20.1576i | −0.0211382 | − | 0.686570i | ||||
\(863\) | 6.83903 | − | 1.83251i | 0.232803 | − | 0.0623794i | −0.140531 | − | 0.990076i | \(-0.544881\pi\) |
0.373334 | + | 0.927697i | \(0.378214\pi\) | |||||||
\(864\) | 1.54534 | − | 14.2654i | 0.0525736 | − | 0.485320i | ||||
\(865\) | 15.5445 | + | 43.7651i | 0.528530 | + | 1.48806i | ||||
\(866\) | 6.24162 | + | 20.7210i | 0.212099 | + | 0.704127i | ||||
\(867\) | 12.9931 | + | 12.9931i | 0.441270 | + | 0.441270i | ||||
\(868\) | 15.3871 | + | 16.0793i | 0.522271 | + | 0.545767i | ||||
\(869\) | −9.81435 | −0.332929 | ||||||||
\(870\) | −1.83005 | − | 1.46522i | −0.0620444 | − | 0.0496757i | ||||
\(871\) | 48.9586 | − | 28.2662i | 1.65890 | − | 0.957765i | ||||
\(872\) | −23.6350 | − | 33.3928i | −0.800383 | − | 1.13082i | ||||
\(873\) | −2.62973 | − | 9.81430i | −0.0890030 | − | 0.332164i | ||||
\(874\) | −21.3485 | + | 22.7049i | −0.722125 | + | 0.768004i | ||||
\(875\) | 3.15617 | − | 29.4115i | 0.106698 | − | 0.994291i | ||||
\(876\) | −4.03596 | − | 65.4818i | −0.136362 | − | 2.21243i | ||||
\(877\) | 4.32588 | + | 16.1444i | 0.146075 | + | 0.545158i | 0.999705 | + | 0.0242789i | \(0.00772898\pi\) |
−0.853631 | + | 0.520879i | \(0.825604\pi\) | |||||||
\(878\) | 1.87188 | + | 3.02333i | 0.0631728 | + | 0.102032i | ||||
\(879\) | 23.4659 | + | 40.6442i | 0.791486 | + | 1.37089i | ||||
\(880\) | −2.77641 | − | 13.5161i | −0.0935927 | − | 0.455626i | ||||
\(881\) | 20.0669 | 0.676070 | 0.338035 | − | 0.941133i | \(-0.390238\pi\) | ||||
0.338035 | + | 0.941133i | \(0.390238\pi\) | |||||||
\(882\) | 18.1242 | + | 2.48625i | 0.610275 | + | 0.0837165i | ||||
\(883\) | −18.6094 | + | 18.6094i | −0.626255 | + | 0.626255i | −0.947124 | − | 0.320868i | \(-0.896025\pi\) |
0.320868 | + | 0.947124i | \(0.396025\pi\) | |||||||
\(884\) | 20.4307 | + | 10.1744i | 0.687157 | + | 0.342201i | ||||
\(885\) | 7.79595 | + | 21.9492i | 0.262058 | + | 0.737815i | ||||
\(886\) | −43.2520 | − | 10.1737i | −1.45308 | − | 0.341794i | ||||
\(887\) | 6.91551 | + | 25.8090i | 0.232200 | + | 0.866583i | 0.979391 | + | 0.201973i | \(0.0647354\pi\) |
−0.747191 | + | 0.664609i | \(0.768598\pi\) | |||||||
\(888\) | −2.93574 | − | 31.7039i | −0.0985171 | − | 1.06391i | ||||
\(889\) | 34.0774 | − | 16.0449i | 1.14292 | − | 0.538128i | ||||
\(890\) | 13.9712 | + | 19.0073i | 0.468315 | + | 0.637125i | ||||
\(891\) | 8.58425 | − | 14.8684i | 0.287583 | − | 0.498109i | ||||
\(892\) | 4.67984 | − | 23.0576i | 0.156693 | − | 0.772027i | ||||
\(893\) | −18.3926 | + | 68.6421i | −0.615485 | + | 2.29702i | ||||
\(894\) | −19.6421 | − | 65.2080i | −0.656930 | − | 2.18088i | ||||
\(895\) | 13.4346 | + | 19.5080i | 0.449069 | + | 0.652079i | ||||
\(896\) | 18.1985 | − | 23.7658i | 0.607970 | − | 0.793960i | ||||
\(897\) | −19.4667 | − | 19.4667i | −0.649973 | − | 0.649973i | ||||
\(898\) | 1.67914 | + | 0.901728i | 0.0560338 | + | 0.0300911i | ||||
\(899\) | 1.22639 | − | 0.708058i | 0.0409025 | − | 0.0236151i | ||||
\(900\) | 4.04227 | + | 18.0322i | 0.134742 | + | 0.601073i | ||||
\(901\) | 14.1281 | + | 8.15689i | 0.470677 | + | 0.271745i | ||||
\(902\) | 9.80194 | − | 0.301784i | 0.326369 | − | 0.0100483i | ||||
\(903\) | −1.23868 | + | 0.223159i | −0.0412208 | + | 0.00742628i | ||||
\(904\) | −7.90887 | + | 9.52305i | −0.263045 | + | 0.316732i | ||||
\(905\) | −10.5934 | + | 0.843778i | −0.352136 | + | 0.0280481i | ||||
\(906\) | −3.31737 | + | 14.1032i | −0.110212 | + | 0.468549i | ||||
\(907\) | −1.57525 | + | 5.87892i | −0.0523054 | + | 0.195206i | −0.987135 | − | 0.159891i | \(-0.948886\pi\) |
0.934829 | + | 0.355098i | \(0.115552\pi\) | |||||||
\(908\) | 10.0245 | − | 3.35940i | 0.332675 | − | 0.111485i | ||||
\(909\) | 0.737181 | 0.0244508 | ||||||||
\(910\) | −0.866751 | − | 32.4437i | −0.0287325 | − | 1.07550i | ||||
\(911\) | − | 18.7215i | − | 0.620271i | −0.950692 | − | 0.310136i | \(-0.899626\pi\) | ||
0.950692 | − | 0.310136i | \(-0.100374\pi\) | |||||||
\(912\) | 55.8092 | − | 22.6095i | 1.84803 | − | 0.748675i | ||||
\(913\) | −24.5729 | − | 6.58428i | −0.813244 | − | 0.217908i | ||||
\(914\) | −7.78677 | + | 33.1041i | −0.257564 | + | 1.09499i | ||||
\(915\) | −11.4398 | + | 13.4200i | −0.378190 | + | 0.443650i | ||||
\(916\) | 15.9852 | − | 0.985244i | 0.528165 | − | 0.0325534i | ||||
\(917\) | 15.9100 | − | 13.4511i | 0.525394 | − | 0.444193i | ||||
\(918\) | 0.324757 | + | 10.5481i | 0.0107186 | + | 0.348140i | ||||
\(919\) | −25.4542 | + | 44.0879i | −0.839655 | + | 1.45433i | 0.0505282 | + | 0.998723i | \(0.483910\pi\) |
−0.890183 | + | 0.455603i | \(0.849424\pi\) | |||||||
\(920\) | −8.56508 | − | 18.4988i | −0.282382 | − | 0.609887i | ||||
\(921\) | −20.6401 | − | 35.7496i | −0.680113 | − | 1.17799i | ||||
\(922\) | −3.37835 | − | 1.81423i | −0.111260 | − | 0.0597485i | ||||
\(923\) | −25.4979 | + | 25.4979i | −0.839274 | + | 0.839274i | ||||
\(924\) | 15.7596 | − | 8.64234i | 0.518453 | − | 0.284312i | ||||
\(925\) | −10.4415 | − | 23.3333i | −0.343313 | − | 0.767194i | ||||
\(926\) | 31.6898 | − | 9.54567i | 1.04139 | − | 0.313690i | ||||
\(927\) | −26.7393 | − | 7.16478i | −0.878235 | − | 0.235322i | ||||
\(928\) | −1.19391 | − | 1.48401i | −0.0391922 | − | 0.0487149i | ||||
\(929\) | 0.840789 | + | 0.485430i | 0.0275854 | + | 0.0159264i | 0.513729 | − | 0.857952i | \(-0.328264\pi\) |
−0.486144 | + | 0.873879i | \(0.661597\pi\) | |||||||
\(930\) | −28.9489 | − | 4.42073i | −0.949272 | − | 0.144961i | ||||
\(931\) | −16.7023 | − | 44.8499i | −0.547396 | − | 1.46990i | ||||
\(932\) | 33.6155 | − | 38.0314i | 1.10111 | − | 1.24576i | ||||
\(933\) | −11.2547 | + | 3.01569i | −0.368463 | + | 0.0987293i | ||||
\(934\) | 2.49478 | − | 10.6061i | 0.0816315 | − | 0.347043i | ||||
\(935\) | 3.39655 | + | 9.56287i | 0.111079 | + | 0.312739i | ||||
\(936\) | 7.03121 | + | 19.0176i | 0.229822 | + | 0.621609i | ||||
\(937\) | 32.9668 | + | 32.9668i | 1.07698 | + | 1.07698i | 0.996779 | + | 0.0802005i | \(0.0255561\pi\) |
0.0802005 | + | 0.996779i | \(0.474444\pi\) | |||||||
\(938\) | 24.7354 | + | 48.5957i | 0.807639 | + | 1.58671i | ||||
\(939\) | − | 37.3477i | − | 1.21880i | ||||||
\(940\) | −37.1627 | − | 27.9218i | −1.21211 | − | 0.910708i | ||||
\(941\) | 16.3181 | − | 9.42126i | 0.531955 | − | 0.307124i | −0.209857 | − | 0.977732i | \(-0.567300\pi\) |
0.741812 | + | 0.670608i | \(0.233967\pi\) | |||||||
\(942\) | −55.0285 | + | 34.0706i | −1.79292 | + | 1.11008i | ||||
\(943\) | 13.9945 | − | 3.74981i | 0.455723 | − | 0.122111i | ||||
\(944\) | 2.32393 | + | 18.7808i | 0.0756373 | + | 0.611262i | ||||
\(945\) | 13.0264 | − | 7.45027i | 0.423748 | − | 0.242357i | ||||
\(946\) | −0.322894 | + | 0.343408i | −0.0104982 | + | 0.0111652i | ||||
\(947\) | −0.862706 | + | 0.231161i | −0.0280342 | + | 0.00751173i | −0.272809 | − | 0.962068i | \(-0.587953\pi\) |
0.244775 | + | 0.969580i | \(0.421286\pi\) | |||||||
\(948\) | 27.4553 | + | 5.57240i | 0.891707 | + | 0.180983i | ||||
\(949\) | −28.8962 | − | 50.0497i | −0.938011 | − | 1.62468i | ||||
\(950\) | 36.5573 | − | 31.6353i | 1.18608 | − | 1.02638i | ||||
\(951\) | − | 2.45783i | − | 0.0797004i | ||||||
\(952\) | −10.8396 | + | 19.1614i | −0.351313 | + | 0.621024i | ||||
\(953\) | −36.5665 | + | 36.5665i | −1.18450 | + | 1.18450i | −0.205940 | + | 0.978565i | \(0.566025\pi\) |
−0.978565 | + | 0.205940i | \(0.933975\pi\) | |||||||
\(954\) | 4.17994 | + | 13.8766i | 0.135330 | + | 0.449271i | ||||
\(955\) | −1.47846 | + | 3.10720i | −0.0478419 | + | 0.100547i | ||||
\(956\) | 8.96277 | + | 13.5274i | 0.289877 | + | 0.437509i | ||||
\(957\) | −0.296004 | − | 1.10470i | −0.00956844 | − | 0.0357099i | ||||
\(958\) | 30.1054 | − | 0.926892i | 0.972662 | − | 0.0299465i | ||||
\(959\) | −23.4290 | + | 33.7259i | −0.756561 | + | 1.08907i | ||||
\(960\) | 0.0927578 | + | 39.3871i | 0.00299375 | + | 1.27121i | ||||
\(961\) | −6.65526 | + | 11.5272i | −0.214686 | + | 0.371847i | ||||
\(962\) | −14.7646 | − | 23.8468i | −0.476029 | − | 0.768850i | ||||
\(963\) | 5.73913 | + | 1.53779i | 0.184941 | + | 0.0495547i | ||||
\(964\) | −18.7953 | + | 37.7421i | −0.605357 | + | 1.21559i | ||||
\(965\) | 5.86238 | − | 31.7980i | 0.188717 | − | 1.02361i | ||||
\(966\) | 19.7410 | − | 17.7601i | 0.635157 | − | 0.571421i | ||||
\(967\) | −25.8505 | + | 25.8505i | −0.831295 | + | 0.831295i | −0.987694 | − | 0.156399i | \(-0.950012\pi\) |
0.156399 | + | 0.987694i | \(0.450012\pi\) | |||||||
\(968\) | −10.1919 | + | 22.1489i | −0.327578 | + | 0.711893i | ||||
\(969\) | −38.3529 | + | 22.1431i | −1.23207 | + | 0.711338i | ||||
\(970\) | −6.32075 | − | 16.1972i | −0.202947 | − | 0.520061i | ||||
\(971\) | 9.42284 | − | 16.3208i | 0.302393 | − | 0.523761i | −0.674284 | − | 0.738472i | \(-0.735548\pi\) |
0.976678 | + | 0.214711i | \(0.0688810\pi\) | |||||||
\(972\) | −22.3769 | + | 25.3164i | −0.717738 | + | 0.812025i | ||||
\(973\) | 18.8622 | − | 52.4284i | 0.604694 | − | 1.68078i | ||||
\(974\) | −31.6822 | + | 33.6950i | −1.01516 | + | 1.07966i | ||||
\(975\) | 26.9382 | + | 33.1379i | 0.862714 | + | 1.06126i | ||||
\(976\) | −11.4338 | + | 8.63288i | −0.365988 | + | 0.276332i | ||||
\(977\) | 0.418615 | − | 1.56229i | 0.0133927 | − | 0.0499821i | −0.958906 | − | 0.283723i | \(-0.908430\pi\) |
0.972299 | + | 0.233741i | \(0.0750969\pi\) | |||||||
\(978\) | 29.2445 | + | 15.7048i | 0.935135 | + | 0.502183i | ||||
\(979\) | 11.5080i | 0.367798i | ||||||||
\(980\) | 31.2943 | + | 0.815880i | 0.999660 | + | 0.0260623i | ||||
\(981\) | 26.7293i | 0.853402i | ||||||||
\(982\) | 15.6213 | − | 29.0890i | 0.498495 | − | 0.928268i | ||||
\(983\) | −6.21480 | + | 23.1939i | −0.198221 | + | 0.739772i | 0.793188 | + | 0.608977i | \(0.208420\pi\) |
−0.991409 | + | 0.130795i | \(0.958247\pi\) | |||||||
\(984\) | −27.5919 | − | 4.72112i | −0.879599 | − | 0.150504i | ||||
\(985\) | −25.1087 | − | 21.4039i | −0.800030 | − | 0.681986i | ||||
\(986\) | 1.02053 | + | 0.959570i | 0.0325004 | + | 0.0305589i | ||||
\(987\) | 20.4977 | − | 56.9744i | 0.652449 | − | 1.81352i | ||||
\(988\) | 35.1290 | − | 39.7438i | 1.11760 | − | 1.26442i | ||||
\(989\) | −0.348199 | + | 0.603098i | −0.0110721 | + | 0.0191774i | ||||
\(990\) | −3.62111 | + | 8.25598i | −0.115086 | + | 0.262392i | ||||
\(991\) | −24.8752 | + | 14.3617i | −0.790187 | + | 0.456214i | −0.840028 | − | 0.542543i | \(-0.817462\pi\) |
0.0498416 | + | 0.998757i | \(0.484128\pi\) | |||||||
\(992\) | −22.1845 | − | 8.59707i | −0.704360 | − | 0.272957i | ||||
\(993\) | 1.71965 | − | 1.71965i | 0.0545715 | − | 0.0545715i | ||||
\(994\) | −23.2626 | − | 25.8572i | −0.737843 | − | 0.820142i | ||||
\(995\) | −24.0550 | + | 16.5660i | −0.762594 | + | 0.525176i | ||||
\(996\) | 65.0034 | + | 32.3713i | 2.05971 | + | 1.02572i | ||||
\(997\) | −4.42609 | − | 1.18597i | −0.140176 | − | 0.0375600i | 0.188049 | − | 0.982160i | \(-0.439784\pi\) |
−0.328225 | + | 0.944600i | \(0.606450\pi\) | |||||||
\(998\) | −21.1745 | + | 13.1101i | −0.670266 | + | 0.414992i | ||||
\(999\) | 6.48418 | − | 11.2309i | 0.205150 | − | 0.355331i |
(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.br.a.107.29 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.7 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.31 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.37 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.37 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.31 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.7 | ✓ | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.29 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.7 | ✓ | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.67.31 | yes | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.107.29 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.107.37 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.123.29 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.123.37 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.163.7 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.163.31 | yes | 176 | 40.3 | even | 4 | inner |