Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.2.j.a.161.15 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.706711 | − | 0.815588i | 0.499720 | − | 0.576708i | −0.448717 | − | 0.893674i | \(-0.648119\pi\) |
0.948437 | + | 0.316966i | \(0.102664\pi\) | |||||||
\(3\) | −0.826962 | + | 1.52189i | −0.477447 | + | 0.878661i | ||||
\(4\) | 0.118886 | + | 0.826873i | 0.0594432 | + | 0.413437i | ||||
\(5\) | −3.89728 | + | 1.14434i | −1.74292 | + | 0.511766i | −0.989344 | − | 0.145598i | \(-0.953489\pi\) |
−0.753573 | + | 0.657365i | \(0.771671\pi\) | |||||||
\(6\) | 0.656808 | + | 1.74999i | 0.268141 | + | 0.714432i | ||||
\(7\) | −1.64135 | − | 1.42224i | −0.620373 | − | 0.537556i | 0.286974 | − | 0.957938i | \(-0.407351\pi\) |
−0.907347 | + | 0.420382i | \(0.861896\pi\) | |||||||
\(8\) | 2.57413 | + | 1.65429i | 0.910092 | + | 0.584881i | ||||
\(9\) | −1.63227 | − | 2.51708i | −0.544090 | − | 0.839027i | ||||
\(10\) | −1.82094 | + | 3.98729i | −0.575831 | + | 1.26089i | ||||
\(11\) | −2.88196 | + | 0.846220i | −0.868944 | + | 0.255145i | −0.685666 | − | 0.727916i | \(-0.740489\pi\) |
−0.183278 | + | 0.983061i | \(0.558671\pi\) | |||||||
\(12\) | −1.35672 | − | 0.502861i | −0.391651 | − | 0.145163i | ||||
\(13\) | 3.30823 | + | 5.14771i | 0.917538 | + | 1.42772i | 0.903869 | + | 0.427810i | \(0.140715\pi\) |
0.0136692 | + | 0.999907i | \(0.495649\pi\) | |||||||
\(14\) | −2.31992 | + | 0.333555i | −0.620026 | + | 0.0891463i | ||||
\(15\) | 1.48134 | − | 6.87754i | 0.382480 | − | 1.77577i | ||||
\(16\) | 1.56531 | − | 0.459617i | 0.391328 | − | 0.114904i | ||||
\(17\) | −0.695221 | − | 0.0999577i | −0.168616 | − | 0.0242433i | 0.0574898 | − | 0.998346i | \(-0.481690\pi\) |
−0.226106 | + | 0.974103i | \(0.572599\pi\) | |||||||
\(18\) | −3.20644 | − | 0.447591i | −0.755766 | − | 0.105498i | ||||
\(19\) | 2.90773 | + | 3.35570i | 0.667079 | + | 0.769850i | 0.983916 | − | 0.178629i | \(-0.0571663\pi\) |
−0.316837 | + | 0.948480i | \(0.602621\pi\) | |||||||
\(20\) | −1.40956 | − | 3.08651i | −0.315188 | − | 0.690164i | ||||
\(21\) | 3.52182 | − | 1.32181i | 0.768525 | − | 0.288443i | ||||
\(22\) | −1.34655 | + | 2.94853i | −0.287085 | + | 0.628628i | ||||
\(23\) | 2.23010 | − | 1.01845i | 0.465008 | − | 0.212362i | −0.169112 | − | 0.985597i | \(-0.554090\pi\) |
0.634120 | + | 0.773235i | \(0.281363\pi\) | |||||||
\(24\) | −4.64635 | + | 2.54949i | −0.948432 | + | 0.520413i | ||||
\(25\) | 9.67299 | − | 6.21646i | 1.93460 | − | 1.24329i | ||||
\(26\) | 6.53637 | + | 0.939788i | 1.28189 | + | 0.184308i | ||||
\(27\) | 5.18053 | − | 0.402595i | 0.996994 | − | 0.0774795i | ||||
\(28\) | 0.980878 | − | 1.52628i | 0.185369 | − | 0.288439i | ||||
\(29\) | 0.919219i | 0.170695i | 0.996351 | + | 0.0853473i | \(0.0272000\pi\) | ||||
−0.996351 | + | 0.0853473i | \(0.972800\pi\) | |||||||
\(30\) | −4.56236 | − | 6.06860i | −0.832969 | − | 1.10797i | ||||
\(31\) | 0.288341 | − | 0.448667i | 0.0517876 | − | 0.0805830i | −0.814394 | − | 0.580312i | \(-0.802931\pi\) |
0.866182 | + | 0.499729i | \(0.166567\pi\) | |||||||
\(32\) | −1.81087 | + | 3.96525i | −0.320120 | + | 0.700964i | ||||
\(33\) | 1.09542 | − | 5.08581i | 0.190689 | − | 0.885325i | ||||
\(34\) | −0.572844 | + | 0.496372i | −0.0982420 | + | 0.0851272i | ||||
\(35\) | 8.02435 | + | 3.66460i | 1.35636 | + | 0.619430i | ||||
\(36\) | 1.88725 | − | 1.64893i | 0.314542 | − | 0.274821i | ||||
\(37\) | −11.1226 | −1.82854 | −0.914269 | − | 0.405107i | \(-0.867234\pi\) | ||||
−0.914269 | + | 0.405107i | \(0.867234\pi\) | |||||||
\(38\) | 4.79179 | 0.777332 | ||||||||
\(39\) | −10.5700 | + | 0.777790i | −1.69255 | + | 0.124546i | ||||
\(40\) | −11.9252 | − | 3.50155i | −1.88554 | − | 0.553644i | ||||
\(41\) | −0.950449 | + | 6.61052i | −0.148435 | + | 1.03239i | 0.770347 | + | 0.637625i | \(0.220083\pi\) |
−0.918782 | + | 0.394765i | \(0.870826\pi\) | |||||||
\(42\) | 1.41086 | − | 3.80650i | 0.217700 | − | 0.587355i | ||||
\(43\) | 5.20413 | + | 0.748241i | 0.793622 | + | 0.114106i | 0.527189 | − | 0.849748i | \(-0.323246\pi\) |
0.266433 | + | 0.963853i | \(0.414155\pi\) | |||||||
\(44\) | −1.04234 | − | 2.28241i | −0.157139 | − | 0.344087i | ||||
\(45\) | 9.24181 | + | 7.94189i | 1.37769 | + | 1.18391i | ||||
\(46\) | 0.745398 | − | 2.53859i | 0.109903 | − | 0.374295i | ||||
\(47\) | −0.838249 | + | 0.382815i | −0.122271 | + | 0.0558394i | −0.475611 | − | 0.879656i | \(-0.657773\pi\) |
0.353340 | + | 0.935495i | \(0.385046\pi\) | |||||||
\(48\) | −0.594969 | + | 2.76231i | −0.0858763 | + | 0.398705i | ||||
\(49\) | −0.324932 | − | 2.25995i | −0.0464188 | − | 0.322850i | ||||
\(50\) | 1.76594 | − | 12.2824i | 0.249742 | − | 1.73700i | ||||
\(51\) | 0.727045 | − | 0.975385i | 0.101807 | − | 0.136581i | ||||
\(52\) | −3.86320 | + | 3.34748i | −0.535729 | + | 0.464212i | ||||
\(53\) | −0.155808 | − | 1.08367i | −0.0214019 | − | 0.148854i | 0.976318 | − | 0.216339i | \(-0.0694116\pi\) |
−0.997720 | + | 0.0674851i | \(0.978502\pi\) | |||||||
\(54\) | 3.33279 | − | 4.50970i | 0.453535 | − | 0.613692i | ||||
\(55\) | 10.2634 | − | 6.59591i | 1.38392 | − | 0.889393i | ||||
\(56\) | −1.87225 | − | 6.37631i | −0.250190 | − | 0.852070i | ||||
\(57\) | −7.51157 | + | 1.65020i | −0.994932 | + | 0.218574i | ||||
\(58\) | 0.749704 | + | 0.649622i | 0.0984409 | + | 0.0852995i | ||||
\(59\) | −1.02915 | + | 1.60139i | −0.133984 | + | 0.208483i | −0.901762 | − | 0.432232i | \(-0.857726\pi\) |
0.767778 | + | 0.640716i | \(0.221362\pi\) | |||||||
\(60\) | 5.86297 | + | 0.407234i | 0.756906 | + | 0.0525737i | ||||
\(61\) | −2.65412 | + | 9.03909i | −0.339825 | + | 1.15734i | 0.595444 | + | 0.803397i | \(0.296976\pi\) |
−0.935268 | + | 0.353940i | \(0.884842\pi\) | |||||||
\(62\) | −0.162154 | − | 0.552245i | −0.0205936 | − | 0.0701352i | ||||
\(63\) | −0.900766 | + | 6.45290i | −0.113486 | + | 0.812989i | ||||
\(64\) | 3.30966 | + | 7.24715i | 0.413708 | + | 0.905894i | ||||
\(65\) | −18.7838 | − | 16.2763i | −2.32985 | − | 2.01883i | ||||
\(66\) | −3.37378 | − | 4.48761i | −0.415283 | − | 0.552386i | ||||
\(67\) | −2.58209 | − | 7.76742i | −0.315452 | − | 0.948941i | ||||
\(68\) | − | 0.586743i | − | 0.0711530i | ||||||
\(69\) | −0.294239 | + | 4.23617i | −0.0354223 | + | 0.509975i | ||||
\(70\) | 8.65969 | − | 3.95475i | 1.03503 | − | 0.472683i | ||||
\(71\) | 9.38499 | − | 1.34936i | 1.11379 | − | 0.160139i | 0.439243 | − | 0.898368i | \(-0.355247\pi\) |
0.674550 | + | 0.738229i | \(0.264337\pi\) | |||||||
\(72\) | −0.0376813 | − | 9.17954i | −0.00444079 | − | 1.08182i | ||||
\(73\) | −3.11425 | − | 0.914425i | −0.364495 | − | 0.107025i | 0.0943563 | − | 0.995538i | \(-0.469921\pi\) |
−0.458851 | + | 0.888513i | \(0.651739\pi\) | |||||||
\(74\) | −7.86044 | + | 9.07143i | −0.913757 | + | 1.05453i | ||||
\(75\) | 1.46154 | + | 19.8620i | 0.168764 | + | 2.29346i | ||||
\(76\) | −2.42905 | + | 2.80327i | −0.278631 | + | 0.321557i | ||||
\(77\) | 5.93385 | + | 2.70990i | 0.676225 | + | 0.308821i | ||||
\(78\) | −6.83558 | + | 9.17043i | −0.773977 | + | 1.03835i | ||||
\(79\) | −0.455563 | − | 0.708869i | −0.0512548 | − | 0.0797540i | 0.814680 | − | 0.579910i | \(-0.196912\pi\) |
−0.865935 | + | 0.500156i | \(0.833276\pi\) | |||||||
\(80\) | −5.57450 | + | 3.58251i | −0.623248 | + | 0.400537i | ||||
\(81\) | −3.67140 | + | 8.21711i | −0.407933 | + | 0.913012i | ||||
\(82\) | 4.71976 | + | 5.44690i | 0.521211 | + | 0.601509i | ||||
\(83\) | −1.76252 | − | 6.00261i | −0.193462 | − | 0.658872i | −0.997896 | − | 0.0648298i | \(-0.979350\pi\) |
0.804434 | − | 0.594042i | \(-0.202469\pi\) | |||||||
\(84\) | 1.51167 | + | 2.75496i | 0.164937 | + | 0.300590i | ||||
\(85\) | 2.82386 | − | 0.406009i | 0.306290 | − | 0.0440379i | ||||
\(86\) | 4.28807 | − | 3.71564i | 0.462395 | − | 0.400667i | ||||
\(87\) | −1.39895 | − | 0.760159i | −0.149983 | − | 0.0814976i | ||||
\(88\) | −8.81844 | − | 2.58933i | −0.940049 | − | 0.276023i | ||||
\(89\) | 16.0993 | + | 7.35232i | 1.70653 | + | 0.779345i | 0.997226 | + | 0.0744386i | \(0.0237165\pi\) |
0.709301 | + | 0.704906i | \(0.249011\pi\) | |||||||
\(90\) | 13.0086 | − | 1.92489i | 1.37123 | − | 0.202901i | ||||
\(91\) | 1.89130 | − | 13.1543i | 0.198262 | − | 1.37895i | ||||
\(92\) | 1.10726 | + | 1.72293i | 0.115440 | + | 0.179628i | ||||
\(93\) | 0.444373 | + | 0.809852i | 0.0460793 | + | 0.0839778i | ||||
\(94\) | −0.280180 | + | 0.954205i | −0.0288984 | + | 0.0984188i | ||||
\(95\) | −15.1723 | − | 9.75066i | −1.55665 | − | 1.00040i | ||||
\(96\) | −4.53714 | − | 6.03505i | −0.463070 | − | 0.615950i | ||||
\(97\) | 1.05904i | 0.107529i | 0.998554 | + | 0.0537647i | \(0.0171221\pi\) | ||||
−0.998554 | + | 0.0537647i | \(0.982878\pi\) | |||||||
\(98\) | −2.07282 | − | 1.33212i | −0.209387 | − | 0.134565i | ||||
\(99\) | 6.83414 | + | 5.87287i | 0.686857 | + | 0.590246i | ||||
\(100\) | 6.29021 | + | 7.25929i | 0.629021 | + | 0.725929i | ||||
\(101\) | 7.14722 | + | 8.24834i | 0.711175 | + | 0.820740i | 0.990217 | − | 0.139539i | \(-0.0445620\pi\) |
−0.279041 | + | 0.960279i | \(0.590017\pi\) | |||||||
\(102\) | −0.281702 | − | 1.28228i | −0.0278926 | − | 0.126965i | ||||
\(103\) | −3.54677 | − | 2.27937i | −0.349474 | − | 0.224593i | 0.354113 | − | 0.935203i | \(-0.384783\pi\) |
−0.703587 | + | 0.710610i | \(0.748419\pi\) | |||||||
\(104\) | 18.7236i | 1.83600i | ||||||||
\(105\) | −12.2129 | + | 9.18165i | −1.19186 | + | 0.896037i | ||||
\(106\) | −0.993940 | − | 0.638767i | −0.0965400 | − | 0.0620425i | ||||
\(107\) | 0.924730 | − | 3.14934i | 0.0893970 | − | 0.304458i | −0.902642 | − | 0.430393i | \(-0.858375\pi\) |
0.992038 | + | 0.125935i | \(0.0401931\pi\) | |||||||
\(108\) | 0.948790 | + | 4.23578i | 0.0912974 | + | 0.407588i | ||||
\(109\) | 7.12007 | + | 11.0790i | 0.681979 | + | 1.06118i | 0.993815 | + | 0.111044i | \(0.0354195\pi\) |
−0.311837 | + | 0.950136i | \(0.600944\pi\) | |||||||
\(110\) | 1.87374 | − | 13.0321i | 0.178654 | − | 1.24257i | ||||
\(111\) | 9.19794 | − | 16.9273i | 0.873029 | − | 1.60667i | ||||
\(112\) | −3.22292 | − | 1.47186i | −0.304537 | − | 0.139077i | ||||
\(113\) | 8.15684 | + | 2.39506i | 0.767331 | + | 0.225309i | 0.641894 | − | 0.766793i | \(-0.278149\pi\) |
0.125436 | + | 0.992102i | \(0.459967\pi\) | |||||||
\(114\) | −3.96263 | + | 7.29256i | −0.371134 | + | 0.683011i | ||||
\(115\) | −7.52586 | + | 6.52119i | −0.701790 | + | 0.608104i | ||||
\(116\) | −0.760077 | + | 0.109283i | −0.0705714 | + | 0.0101466i | ||||
\(117\) | 7.55728 | − | 16.7295i | 0.698670 | − | 1.54664i | ||||
\(118\) | 0.578763 | + | 1.97108i | 0.0532794 | + | 0.181453i | ||||
\(119\) | 0.998939 | + | 1.15284i | 0.0915726 | + | 0.105680i | ||||
\(120\) | 15.1906 | − | 15.2531i | 1.38671 | − | 1.39241i | ||||
\(121\) | −1.66417 | + | 1.06950i | −0.151288 | + | 0.0972272i | ||||
\(122\) | 5.49648 | + | 8.55269i | 0.497628 | + | 0.774324i | ||||
\(123\) | −9.27446 | − | 6.91312i | −0.836250 | − | 0.623335i | ||||
\(124\) | 0.405271 | + | 0.185081i | 0.0363944 | + | 0.0166208i | ||||
\(125\) | −17.2850 | + | 19.9479i | −1.54602 | + | 1.78420i | ||||
\(126\) | 4.62632 | + | 5.29499i | 0.412146 | + | 0.471715i | ||||
\(127\) | 3.20580 | − | 3.69969i | 0.284469 | − | 0.328294i | −0.595474 | − | 0.803375i | \(-0.703036\pi\) |
0.879942 | + | 0.475080i | \(0.157581\pi\) | |||||||
\(128\) | −0.115551 | − | 0.0339290i | −0.0102134 | − | 0.00299892i | ||||
\(129\) | −5.44235 | + | 7.30132i | −0.479173 | + | 0.642846i | ||||
\(130\) | −26.5495 | + | 3.81724i | −2.32854 | + | 0.334794i | ||||
\(131\) | 13.2675 | − | 6.05905i | 1.15918 | − | 0.529382i | 0.259423 | − | 0.965764i | \(-0.416468\pi\) |
0.899762 | + | 0.436382i | \(0.143740\pi\) | |||||||
\(132\) | 4.33555 | + | 0.301142i | 0.377361 | + | 0.0262110i | ||||
\(133\) | − | 9.64338i | − | 0.836187i | ||||||
\(134\) | −8.15980 | − | 3.38340i | −0.704900 | − | 0.292281i | ||||
\(135\) | −19.7293 | + | 7.49734i | −1.69803 | + | 0.645268i | ||||
\(136\) | −1.62423 | − | 1.40740i | −0.139277 | − | 0.120684i | ||||
\(137\) | −2.14466 | − | 4.69615i | −0.183231 | − | 0.401219i | 0.795620 | − | 0.605796i | \(-0.207145\pi\) |
−0.978850 | + | 0.204577i | \(0.934418\pi\) | |||||||
\(138\) | 3.24703 | + | 3.23373i | 0.276406 | + | 0.275273i | ||||
\(139\) | −1.01609 | − | 3.46049i | −0.0861838 | − | 0.293515i | 0.905111 | − | 0.425175i | \(-0.139787\pi\) |
−0.991295 | + | 0.131660i | \(0.957969\pi\) | |||||||
\(140\) | −2.07617 | + | 7.07079i | −0.175468 | + | 0.597591i | ||||
\(141\) | 0.110599 | − | 1.59229i | 0.00931409 | − | 0.134095i | ||||
\(142\) | 5.53196 | − | 8.60789i | 0.464232 | − | 0.722358i | ||||
\(143\) | −13.8903 | − | 12.0360i | −1.16156 | − | 1.00650i | ||||
\(144\) | −3.71190 | − | 3.18980i | −0.309325 | − | 0.265817i | ||||
\(145\) | −1.05190 | − | 3.58245i | −0.0873558 | − | 0.297507i | ||||
\(146\) | −2.94667 | + | 1.89371i | −0.243868 | + | 0.156724i | ||||
\(147\) | 3.70809 | + | 1.37438i | 0.305838 | + | 0.113357i | ||||
\(148\) | −1.32232 | − | 9.19695i | −0.108694 | − | 0.755985i | ||||
\(149\) | −4.86904 | + | 4.21904i | −0.398887 | + | 0.345638i | −0.831089 | − | 0.556139i | \(-0.812282\pi\) |
0.432202 | + | 0.901777i | \(0.357737\pi\) | |||||||
\(150\) | 17.2321 | + | 12.8447i | 1.40699 | + | 1.04876i | ||||
\(151\) | −2.71088 | + | 18.8546i | −0.220608 | + | 1.53436i | 0.515138 | + | 0.857107i | \(0.327741\pi\) |
−0.735746 | + | 0.677257i | \(0.763168\pi\) | |||||||
\(152\) | 1.93357 | + | 13.4482i | 0.156833 | + | 1.09080i | ||||
\(153\) | 0.883185 | + | 1.91309i | 0.0714013 | + | 0.154664i | ||||
\(154\) | 6.40367 | − | 2.92446i | 0.516023 | − | 0.235660i | ||||
\(155\) | −0.610315 | + | 2.07854i | −0.0490217 | + | 0.166953i | ||||
\(156\) | −1.89976 | − | 8.64758i | −0.152103 | − | 0.692360i | ||||
\(157\) | −8.24375 | − | 18.0513i | −0.657923 | − | 1.44065i | −0.884445 | − | 0.466645i | \(-0.845463\pi\) |
0.226522 | − | 0.974006i | \(-0.427265\pi\) | |||||||
\(158\) | −0.900096 | − | 0.129414i | −0.0716078 | − | 0.0102957i | ||||
\(159\) | 1.77807 | + | 0.659032i | 0.141010 | + | 0.0522646i | ||||
\(160\) | 2.51985 | − | 17.5260i | 0.199212 | − | 1.38555i | ||||
\(161\) | −5.10886 | − | 1.50010i | −0.402635 | − | 0.118224i | ||||
\(162\) | 4.10715 | + | 8.80147i | 0.322689 | + | 0.691509i | ||||
\(163\) | 13.6044 | 1.06557 | 0.532787 | − | 0.846249i | \(-0.321145\pi\) | ||||
0.532787 | + | 0.846249i | \(0.321145\pi\) | |||||||
\(164\) | −5.57905 | −0.435651 | ||||||||
\(165\) | 1.55075 | + | 21.0744i | 0.120726 | + | 1.64064i | ||||
\(166\) | −6.14125 | − | 2.80461i | −0.476653 | − | 0.217680i | ||||
\(167\) | 5.14016 | − | 4.45397i | 0.397757 | − | 0.344659i | −0.432901 | − | 0.901442i | \(-0.642510\pi\) |
0.830658 | + | 0.556783i | \(0.187965\pi\) | |||||||
\(168\) | 11.2523 | + | 2.42361i | 0.868133 | + | 0.186986i | ||||
\(169\) | −10.1541 | + | 22.2344i | −0.781084 | + | 1.71034i | ||||
\(170\) | 1.66451 | − | 2.59003i | 0.127662 | − | 0.198647i | ||||
\(171\) | 3.70037 | − | 12.7964i | 0.282975 | − | 0.978565i | ||||
\(172\) | 4.39211i | 0.334895i | ||||||||
\(173\) | −11.9228 | + | 18.5522i | −0.906474 | + | 1.41050i | 0.00537977 | + | 0.999986i | \(0.498288\pi\) |
−0.911854 | + | 0.410515i | \(0.865349\pi\) | |||||||
\(174\) | −1.60863 | + | 0.603750i | −0.121950 | + | 0.0457702i | ||||
\(175\) | −24.7181 | − | 3.55393i | −1.86851 | − | 0.268652i | ||||
\(176\) | −4.12223 | + | 2.64920i | −0.310725 | + | 0.199691i | ||||
\(177\) | −1.58606 | − | 2.89054i | −0.119216 | − | 0.217266i | ||||
\(178\) | 17.3740 | − | 7.93446i | 1.30224 | − | 0.594713i | ||||
\(179\) | 7.60690 | − | 16.6568i | 0.568566 | − | 1.24499i | −0.378991 | − | 0.925400i | \(-0.623729\pi\) |
0.947557 | − | 0.319586i | \(-0.103544\pi\) | |||||||
\(180\) | −5.46821 | + | 8.58599i | −0.407576 | + | 0.639962i | ||||
\(181\) | −4.13671 | − | 9.05812i | −0.307479 | − | 0.673285i | 0.691306 | − | 0.722562i | \(-0.257036\pi\) |
−0.998785 | + | 0.0492770i | \(0.984308\pi\) | |||||||
\(182\) | −9.39188 | − | 10.8388i | −0.696173 | − | 0.803426i | ||||
\(183\) | −11.5616 | − | 11.5142i | −0.854658 | − | 0.851157i | ||||
\(184\) | 7.42538 | + | 1.06761i | 0.547406 | + | 0.0787051i | ||||
\(185\) | 43.3477 | − | 12.7280i | 3.18699 | − | 0.935785i | ||||
\(186\) | 0.974549 | + | 0.209906i | 0.0714574 | + | 0.0153911i | ||||
\(187\) | 2.08819 | − | 0.300236i | 0.152703 | − | 0.0219554i | ||||
\(188\) | −0.416196 | − | 0.647614i | −0.0303542 | − | 0.0472321i | ||||
\(189\) | −9.07567 | − | 6.70716i | −0.660158 | − | 0.487874i | ||||
\(190\) | −18.6750 | + | 5.48346i | −1.35482 | + | 0.397812i | ||||
\(191\) | 2.89638 | − | 6.34218i | 0.209575 | − | 0.458904i | −0.775430 | − | 0.631434i | \(-0.782467\pi\) |
0.985004 | + | 0.172530i | \(0.0551940\pi\) | |||||||
\(192\) | −13.7663 | − | 0.956190i | −0.993496 | − | 0.0690070i | ||||
\(193\) | 9.29583 | + | 5.97407i | 0.669129 | + | 0.430023i | 0.830611 | − | 0.556853i | \(-0.187991\pi\) |
−0.161483 | + | 0.986876i | \(0.551628\pi\) | |||||||
\(194\) | 0.863742 | + | 0.748437i | 0.0620131 | + | 0.0537346i | ||||
\(195\) | 40.3042 | − | 15.1270i | 2.88624 | − | 1.08327i | ||||
\(196\) | 1.83006 | − | 0.537355i | 0.130719 | − | 0.0383825i | ||||
\(197\) | −0.673188 | − | 4.68212i | −0.0479626 | − | 0.333587i | −0.999648 | − | 0.0265140i | \(-0.991559\pi\) |
0.951686 | − | 0.307074i | \(-0.0993497\pi\) | |||||||
\(198\) | 9.61961 | − | 1.42342i | 0.683636 | − | 0.101158i | ||||
\(199\) | 10.5036 | − | 12.1218i | 0.744579 | − | 0.859290i | −0.249452 | − | 0.968387i | \(-0.580250\pi\) |
0.994031 | + | 0.109097i | \(0.0347959\pi\) | |||||||
\(200\) | 35.1834 | 2.48784 | ||||||||
\(201\) | 13.9564 | + | 2.49372i | 0.984409 | + | 0.175893i | ||||
\(202\) | 11.7783 | 0.828716 | ||||||||
\(203\) | 1.30735 | − | 1.50876i | 0.0917580 | − | 0.105894i | ||||
\(204\) | 0.892956 | + | 0.485214i | 0.0625194 | + | 0.0339718i | ||||
\(205\) | −3.86054 | − | 26.8507i | −0.269632 | − | 1.87533i | ||||
\(206\) | −4.36557 | + | 1.28185i | −0.304164 | + | 0.0893105i | ||||
\(207\) | −6.20365 | − | 3.95095i | −0.431183 | − | 0.274610i | ||||
\(208\) | 7.54438 | + | 6.53724i | 0.523109 | + | 0.453276i | ||||
\(209\) | −11.2196 | − | 7.21042i | −0.776078 | − | 0.498755i | ||||
\(210\) | −1.14256 | + | 16.4495i | −0.0788442 | + | 1.13512i | ||||
\(211\) | 8.16108 | − | 17.8703i | 0.561832 | − | 1.23024i | −0.389201 | − | 0.921153i | \(-0.627249\pi\) |
0.951033 | − | 0.309088i | \(-0.100024\pi\) | |||||||
\(212\) | 0.877535 | − | 0.257668i | 0.0602693 | − | 0.0176967i | ||||
\(213\) | −5.70746 | + | 15.3988i | −0.391069 | + | 1.05511i | ||||
\(214\) | −1.91505 | − | 2.97987i | −0.130910 | − | 0.203700i | ||||
\(215\) | −21.1382 | + | 3.03921i | −1.44161 | + | 0.207273i | ||||
\(216\) | 14.0014 | + | 7.53379i | 0.952673 | + | 0.512609i | ||||
\(217\) | −1.11138 | + | 0.326331i | −0.0754455 | + | 0.0221528i | ||||
\(218\) | 14.0678 | + | 2.02264i | 0.952789 | + | 0.136990i | ||||
\(219\) | 3.96701 | − | 3.98333i | 0.268066 | − | 0.269168i | ||||
\(220\) | 6.67417 | + | 7.70240i | 0.449972 | + | 0.519296i | ||||
\(221\) | −1.78540 | − | 3.90948i | −0.120099 | − | 0.262980i | ||||
\(222\) | −7.30539 | − | 19.4644i | −0.490306 | − | 1.30637i | ||||
\(223\) | −6.89717 | + | 15.1027i | −0.461869 | + | 1.01135i | 0.525189 | + | 0.850986i | \(0.323995\pi\) |
−0.987058 | + | 0.160366i | \(0.948733\pi\) | |||||||
\(224\) | 8.61182 | − | 3.93289i | 0.575402 | − | 0.262777i | ||||
\(225\) | −31.4363 | − | 14.2008i | −2.09575 | − | 0.946719i | ||||
\(226\) | 7.71791 | − | 4.96000i | 0.513388 | − | 0.329934i | ||||
\(227\) | 17.6864 | + | 2.54292i | 1.17389 | + | 0.168780i | 0.701538 | − | 0.712632i | \(-0.252497\pi\) |
0.472349 | + | 0.881411i | \(0.343406\pi\) | |||||||
\(228\) | −2.25753 | − | 6.01493i | −0.149508 | − | 0.398349i | ||||
\(229\) | −5.11630 | + | 7.96112i | −0.338095 | + | 0.526085i | −0.968119 | − | 0.250490i | \(-0.919408\pi\) |
0.630025 | + | 0.776575i | \(0.283045\pi\) | |||||||
\(230\) | 10.7466i | 0.708610i | ||||||||
\(231\) | −9.03122 | + | 6.78965i | −0.594210 | + | 0.446726i | ||||
\(232\) | −1.52066 | + | 2.36619i | −0.0998360 | + | 0.155348i | ||||
\(233\) | −2.21272 | + | 4.84518i | −0.144960 | + | 0.317418i | −0.968159 | − | 0.250334i | \(-0.919460\pi\) |
0.823200 | + | 0.567752i | \(0.192187\pi\) | |||||||
\(234\) | −8.30359 | − | 17.9866i | −0.542822 | − | 1.17582i | ||||
\(235\) | 2.82882 | − | 2.45118i | 0.184532 | − | 0.159898i | ||||
\(236\) | −1.44650 | − | 0.660594i | −0.0941591 | − | 0.0430010i | ||||
\(237\) | 1.45555 | − | 0.107106i | 0.0945482 | − | 0.00695730i | ||||
\(238\) | 1.64620 | 0.106707 | ||||||||
\(239\) | −18.3732 | −1.18846 | −0.594231 | − | 0.804294i | \(-0.702544\pi\) | ||||
−0.594231 | + | 0.804294i | \(0.702544\pi\) | |||||||
\(240\) | −0.842275 | − | 11.4463i | −0.0543686 | − | 0.738858i | ||||
\(241\) | 5.24328 | + | 1.53956i | 0.337749 | + | 0.0991721i | 0.446209 | − | 0.894929i | \(-0.352774\pi\) |
−0.108460 | + | 0.994101i | \(0.534592\pi\) | |||||||
\(242\) | −0.303819 | + | 2.11311i | −0.0195302 | + | 0.135836i | ||||
\(243\) | −9.46938 | − | 12.3827i | −0.607461 | − | 0.794349i | ||||
\(244\) | −7.78972 | − | 1.11999i | −0.498686 | − | 0.0717002i | ||||
\(245\) | 3.85251 | + | 8.43583i | 0.246128 | + | 0.538945i | ||||
\(246\) | −12.1926 | + | 2.67856i | −0.777373 | + | 0.170779i | ||||
\(247\) | −7.65472 | + | 26.0696i | −0.487058 | + | 1.65877i | ||||
\(248\) | 1.48445 | − | 0.677927i | 0.0942629 | − | 0.0430484i | ||||
\(249\) | 10.5928 | + | 2.28157i | 0.671292 | + | 0.144588i | ||||
\(250\) | 4.05381 | + | 28.1949i | 0.256385 | + | 1.78320i | ||||
\(251\) | −4.11868 | + | 28.6461i | −0.259969 | + | 1.80812i | 0.273028 | + | 0.962006i | \(0.411975\pi\) |
−0.532997 | + | 0.846117i | \(0.678934\pi\) | |||||||
\(252\) | −5.44282 | + | 0.0223423i | −0.342865 | + | 0.00140744i | ||||
\(253\) | −5.56522 | + | 4.82229i | −0.349883 | + | 0.303175i | ||||
\(254\) | −0.751849 | − | 5.22922i | −0.0471752 | − | 0.328111i | ||||
\(255\) | −1.71732 | + | 4.63334i | −0.107543 | + | 0.290151i | ||||
\(256\) | −13.5141 | + | 8.68497i | −0.844629 | + | 0.542810i | ||||
\(257\) | −2.54941 | − | 8.68250i | −0.159028 | − | 0.541599i | −1.00000 | 0.000520669i | \(-0.999834\pi\) | |
0.840972 | − | 0.541079i | \(-0.181984\pi\) | |||||||
\(258\) | 2.10870 | + | 9.59864i | 0.131282 | + | 0.597585i | ||||
\(259\) | 18.2561 | + | 15.8190i | 1.13438 | + | 0.982943i | ||||
\(260\) | 11.2253 | − | 17.4669i | 0.696163 | − | 1.08325i | ||||
\(261\) | 2.31375 | − | 1.50041i | 0.143217 | − | 0.0928732i | ||||
\(262\) | 4.43458 | − | 15.1028i | 0.273969 | − | 0.933054i | ||||
\(263\) | 0.179288 | + | 0.610598i | 0.0110554 | + | 0.0376511i | 0.964836 | − | 0.262853i | \(-0.0846633\pi\) |
−0.953781 | + | 0.300504i | \(0.902845\pi\) | |||||||
\(264\) | 11.2332 | − | 11.2794i | 0.691354 | − | 0.694198i | ||||
\(265\) | 1.84732 | + | 4.04507i | 0.113480 | + | 0.248487i | ||||
\(266\) | −7.86503 | − | 6.81508i | −0.482236 | − | 0.417860i | ||||
\(267\) | −24.5029 | + | 18.4213i | −1.49955 | + | 1.12736i | ||||
\(268\) | 6.11570 | − | 3.05850i | 0.373576 | − | 0.186828i | ||||
\(269\) | 9.91831i | 0.604730i | 0.953192 | + | 0.302365i | \(0.0977761\pi\) | ||||
−0.953192 | + | 0.302365i | \(0.902224\pi\) | |||||||
\(270\) | −7.82816 | + | 21.3894i | −0.476406 | + | 1.30172i | ||||
\(271\) | −8.21586 | + | 3.75206i | −0.499078 | + | 0.227921i | −0.649017 | − | 0.760774i | \(-0.724820\pi\) |
0.149939 | + | 0.988695i | \(0.452092\pi\) | |||||||
\(272\) | −1.13418 | + | 0.163070i | −0.0687697 | + | 0.00988759i | ||||
\(273\) | 18.4553 | + | 13.7565i | 1.11697 | + | 0.832578i | ||||
\(274\) | −5.34578 | − | 1.56966i | −0.322950 | − | 0.0948267i | ||||
\(275\) | −22.6167 | + | 26.1011i | −1.36384 | + | 1.57395i | ||||
\(276\) | −3.53776 | + | 0.260325i | −0.212948 | + | 0.0156697i | ||||
\(277\) | 18.6006 | − | 21.4663i | 1.11760 | − | 1.28978i | 0.164756 | − | 0.986334i | \(-0.447316\pi\) |
0.952848 | − | 0.303449i | \(-0.0981383\pi\) | |||||||
\(278\) | −3.54042 | − | 1.61686i | −0.212340 | − | 0.0969725i | ||||
\(279\) | −1.59998 | + | 0.00656780i | −0.0957884 | + | 0.000393204i | ||||
\(280\) | 14.5934 | + | 22.7078i | 0.872122 | + | 1.35705i | ||||
\(281\) | −9.20448 | + | 5.91536i | −0.549093 | + | 0.352881i | −0.785586 | − | 0.618752i | \(-0.787638\pi\) |
0.236493 | + | 0.971633i | \(0.424002\pi\) | |||||||
\(282\) | −1.22049 | − | 1.21549i | −0.0726793 | − | 0.0723816i | ||||
\(283\) | −2.90933 | − | 3.35755i | −0.172942 | − | 0.199586i | 0.662661 | − | 0.748919i | \(-0.269427\pi\) |
−0.835603 | + | 0.549334i | \(0.814882\pi\) | |||||||
\(284\) | 2.23150 | + | 7.59978i | 0.132415 | + | 0.450964i | ||||
\(285\) | 27.3863 | − | 15.0271i | 1.62222 | − | 0.890129i | ||||
\(286\) | −19.6328 | + | 2.82278i | −1.16091 | + | 0.166914i | ||||
\(287\) | 10.9618 | − | 9.49843i | 0.647053 | − | 0.560674i | ||||
\(288\) | 12.9367 | − | 1.91425i | 0.762302 | − | 0.112798i | ||||
\(289\) | −15.8380 | − | 4.65047i | −0.931649 | − | 0.273557i | ||||
\(290\) | −3.66520 | − | 1.67384i | −0.215228 | − | 0.0982912i | ||||
\(291\) | −1.61174 | − | 0.875788i | −0.0944819 | − | 0.0513396i | ||||
\(292\) | 0.385872 | − | 2.68380i | 0.0225815 | − | 0.157057i | ||||
\(293\) | −10.7622 | − | 16.7464i | −0.628737 | − | 0.978334i | −0.998783 | − | 0.0493204i | \(-0.984294\pi\) |
0.370046 | − | 0.929013i | \(-0.379342\pi\) | |||||||
\(294\) | 3.74148 | − | 2.05298i | 0.218208 | − | 0.119732i | ||||
\(295\) | 2.17835 | − | 7.41877i | 0.126828 | − | 0.431938i | ||||
\(296\) | −28.6309 | − | 18.4000i | −1.66414 | − | 1.06948i | ||||
\(297\) | −14.5894 | + | 5.54414i | −0.846564 | + | 0.321703i | ||||
\(298\) | 6.95277i | 0.402763i | ||||||||
\(299\) | 12.6204 | + | 8.11062i | 0.729855 | + | 0.469049i | ||||
\(300\) | −16.2496 | + | 3.56982i | −0.938169 | + | 0.206104i | ||||
\(301\) | −7.47764 | − | 8.62965i | −0.431004 | − | 0.497405i | ||||
\(302\) | 13.4618 | + | 15.5357i | 0.774637 | + | 0.893979i | ||||
\(303\) | −18.4635 | + | 4.05620i | −1.06070 | + | 0.233022i | ||||
\(304\) | 6.09384 | + | 3.91627i | 0.349506 | + | 0.224614i | ||||
\(305\) | − | 38.2651i | − | 2.19105i | ||||||
\(306\) | 2.18445 | + | 0.631683i | 0.124876 | + | 0.0361109i | ||||
\(307\) | −5.35712 | − | 3.44281i | −0.305747 | − | 0.196492i | 0.378766 | − | 0.925493i | \(-0.376349\pi\) |
−0.684513 | + | 0.729001i | \(0.739985\pi\) | |||||||
\(308\) | −1.53529 | + | 5.22871i | −0.0874811 | + | 0.297933i | ||||
\(309\) | 6.40199 | − | 3.51283i | 0.364196 | − | 0.199838i | ||||
\(310\) | 1.26392 | + | 1.96669i | 0.0717857 | + | 0.111701i | ||||
\(311\) | 0.547557 | − | 3.80835i | 0.0310491 | − | 0.215951i | −0.968390 | − | 0.249441i | \(-0.919753\pi\) |
0.999439 | + | 0.0334898i | \(0.0106621\pi\) | |||||||
\(312\) | −28.4952 | − | 15.4837i | −1.61322 | − | 0.876594i | ||||
\(313\) | 6.91923 | + | 3.15990i | 0.391098 | + | 0.178608i | 0.601251 | − | 0.799060i | \(-0.294669\pi\) |
−0.210153 | + | 0.977668i | \(0.567396\pi\) | |||||||
\(314\) | −20.5484 | − | 6.03355i | −1.15961 | − | 0.340493i | ||||
\(315\) | −3.87380 | − | 26.1795i | −0.218264 | − | 1.47505i | ||||
\(316\) | 0.531985 | − | 0.460968i | 0.0299265 | − | 0.0259315i | ||||
\(317\) | 1.72325 | − | 0.247766i | 0.0967875 | − | 0.0139159i | −0.0937509 | − | 0.995596i | \(-0.529886\pi\) |
0.190538 | + | 0.981680i | \(0.438977\pi\) | |||||||
\(318\) | 1.79408 | − | 0.984427i | 0.100607 | − | 0.0552039i | ||||
\(319\) | −0.777862 | − | 2.64915i | −0.0435519 | − | 0.148324i | ||||
\(320\) | −21.1919 | − | 24.4568i | −1.18466 | − | 1.36717i | ||||
\(321\) | 4.02822 | + | 4.01172i | 0.224833 | + | 0.223912i | ||||
\(322\) | −4.83395 | + | 3.10659i | −0.269386 | + | 0.173124i | ||||
\(323\) | −1.68609 | − | 2.62360i | −0.0938164 | − | 0.145981i | ||||
\(324\) | −7.23098 | − | 2.05888i | −0.401721 | − | 0.114382i | ||||
\(325\) | 64.0010 | + | 29.2283i | 3.55014 | + | 1.62129i | ||||
\(326\) | 9.61434 | − | 11.0955i | 0.532489 | − | 0.614525i | ||||
\(327\) | −22.7491 | + | 1.67398i | −1.25803 | + | 0.0925714i | ||||
\(328\) | −13.3823 | + | 15.4440i | −0.738914 | + | 0.852753i | ||||
\(329\) | 1.92032 | + | 0.563856i | 0.105871 | + | 0.0310864i | ||||
\(330\) | 18.2839 | + | 13.6287i | 1.00650 | + | 0.750235i | ||||
\(331\) | 13.4200 | − | 1.92951i | 0.737632 | − | 0.106055i | 0.236750 | − | 0.971571i | \(-0.423918\pi\) |
0.500883 | + | 0.865515i | \(0.333009\pi\) | |||||||
\(332\) | 4.75385 | − | 2.17101i | 0.260902 | − | 0.119150i | ||||
\(333\) | 18.1550 | + | 27.9964i | 0.994889 | + | 1.53419i | ||||
\(334\) | − | 7.33992i | − | 0.401622i | ||||||
\(335\) | 18.9517 | + | 27.3170i | 1.03544 | + | 1.49249i | ||||
\(336\) | 4.90522 | − | 3.68774i | 0.267602 | − | 0.201183i | ||||
\(337\) | 8.62384 | + | 7.47260i | 0.469771 | + | 0.407059i | 0.857315 | − | 0.514793i | \(-0.172131\pi\) |
−0.387544 | + | 0.921851i | \(0.626677\pi\) | |||||||
\(338\) | 10.9581 | + | 23.9948i | 0.596040 | + | 1.30515i | ||||
\(339\) | −10.3904 | + | 10.4331i | −0.564329 | + | 0.566651i | ||||
\(340\) | 0.671436 | + | 2.28670i | 0.0364137 | + | 0.124014i | ||||
\(341\) | −0.451316 | + | 1.53704i | −0.0244401 | + | 0.0832355i | ||||
\(342\) | −7.82149 | − | 12.0613i | −0.422938 | − | 0.652202i | ||||
\(343\) | −10.9001 | + | 16.9609i | −0.588550 | + | 0.915801i | ||||
\(344\) | 12.1583 | + | 10.5352i | 0.655531 | + | 0.568021i | ||||
\(345\) | −3.70091 | − | 16.8463i | −0.199250 | − | 0.906973i | ||||
\(346\) | 6.70501 | + | 22.8352i | 0.360464 | + | 1.22763i | ||||
\(347\) | 7.48316 | − | 4.80913i | 0.401717 | − | 0.258168i | −0.324146 | − | 0.946007i | \(-0.605077\pi\) |
0.725863 | + | 0.687839i | \(0.241441\pi\) | |||||||
\(348\) | 0.462239 | − | 1.24712i | 0.0247786 | − | 0.0668528i | ||||
\(349\) | 3.07371 | + | 21.3781i | 0.164532 | + | 1.14435i | 0.889957 | + | 0.456044i | \(0.150734\pi\) |
−0.725425 | + | 0.688301i | \(0.758357\pi\) | |||||||
\(350\) | −20.3671 | + | 17.6482i | −1.08867 | + | 0.943335i | ||||
\(351\) | 19.2108 | + | 25.3360i | 1.02540 | + | 1.35233i | ||||
\(352\) | 1.86338 | − | 12.9601i | 0.0993186 | − | 0.690776i | ||||
\(353\) | −0.201357 | − | 1.40047i | −0.0107171 | − | 0.0745393i | 0.983761 | − | 0.179484i | \(-0.0574427\pi\) |
−0.994478 | + | 0.104944i | \(0.966534\pi\) | |||||||
\(354\) | −3.47838 | − | 0.749201i | −0.184874 | − | 0.0398196i | ||||
\(355\) | −35.0318 | + | 15.9985i | −1.85930 | + | 0.849112i | ||||
\(356\) | −4.16544 | + | 14.1862i | −0.220768 | + | 0.751867i | ||||
\(357\) | −2.58057 | + | 0.566918i | −0.136578 | + | 0.0300045i | ||||
\(358\) | −8.20919 | − | 17.9756i | −0.433869 | − | 0.950041i | ||||
\(359\) | 25.7432 | + | 3.70131i | 1.35867 | + | 0.195348i | 0.782842 | − | 0.622220i | \(-0.213769\pi\) |
0.575832 | + | 0.817568i | \(0.304678\pi\) | |||||||
\(360\) | 10.6514 | + | 35.7321i | 0.561379 | + | 1.88325i | ||||
\(361\) | −0.101844 | + | 0.708339i | −0.00536020 | + | 0.0372810i | ||||
\(362\) | −10.3111 | − | 3.02763i | −0.541942 | − | 0.159129i | ||||
\(363\) | −0.251447 | − | 3.41712i | −0.0131976 | − | 0.179352i | ||||
\(364\) | 11.1018 | 0.581892 | ||||||||
\(365\) | 13.1835 | 0.690056 | ||||||||
\(366\) | −17.5616 | + | 1.29226i | −0.917959 | + | 0.0675477i | ||||
\(367\) | −4.40286 | − | 2.01072i | −0.229827 | − | 0.104959i | 0.297173 | − | 0.954824i | \(-0.403956\pi\) |
−0.527000 | + | 0.849865i | \(0.676683\pi\) | |||||||
\(368\) | 3.02270 | − | 2.61919i | 0.157569 | − | 0.136534i | ||||
\(369\) | 18.1906 | − | 8.39778i | 0.946965 | − | 0.437171i | ||||
\(370\) | 20.2535 | − | 44.3489i | 1.05293 | − | 2.30559i | ||||
\(371\) | −1.28550 | + | 2.00028i | −0.0667401 | + | 0.103850i | ||||
\(372\) | −0.616815 | + | 0.463721i | −0.0319804 | + | 0.0240428i | ||||
\(373\) | 20.0020i | 1.03567i | 0.855482 | + | 0.517833i | \(0.173261\pi\) | ||||
−0.855482 | + | 0.517833i | \(0.826739\pi\) | |||||||
\(374\) | 1.23088 | − | 1.91528i | 0.0636470 | − | 0.0990367i | ||||
\(375\) | −16.0645 | − | 42.8020i | −0.829565 | − | 2.21028i | ||||
\(376\) | −2.79105 | − | 0.401292i | −0.143937 | − | 0.0206951i | ||||
\(377\) | −4.73187 | + | 3.04099i | −0.243704 | + | 0.156619i | ||||
\(378\) | −11.8842 | + | 2.66198i | −0.611255 | + | 0.136918i | ||||
\(379\) | 16.4014 | − | 7.49027i | 0.842484 | − | 0.384749i | 0.0530549 | − | 0.998592i | \(-0.483104\pi\) |
0.789429 | + | 0.613842i | \(0.210377\pi\) | |||||||
\(380\) | 6.25877 | − | 13.7048i | 0.321068 | − | 0.703042i | ||||
\(381\) | 2.97943 | + | 7.93836i | 0.152641 | + | 0.406694i | ||||
\(382\) | −3.12571 | − | 6.84434i | −0.159925 | − | 0.350187i | ||||
\(383\) | −24.4501 | − | 28.2170i | −1.24934 | − | 1.44182i | −0.851489 | − | 0.524372i | \(-0.824300\pi\) |
−0.397855 | − | 0.917448i | \(-0.630245\pi\) | |||||||
\(384\) | 0.147193 | − | 0.147798i | 0.00751139 | − | 0.00754229i | ||||
\(385\) | −26.2269 | − | 3.77086i | −1.33665 | − | 0.192181i | ||||
\(386\) | 11.4418 | − | 3.35963i | 0.582375 | − | 0.171001i | ||||
\(387\) | −6.61116 | − | 14.3206i | −0.336064 | − | 0.727955i | ||||
\(388\) | −0.875694 | + | 0.125906i | −0.0444566 | + | 0.00639190i | ||||
\(389\) | −8.02582 | − | 12.4884i | −0.406925 | − | 0.633188i | 0.575945 | − | 0.817489i | \(-0.304634\pi\) |
−0.982870 | + | 0.184301i | \(0.940998\pi\) | |||||||
\(390\) | 16.1460 | − | 43.5620i | 0.817585 | − | 2.20585i | ||||
\(391\) | −1.65221 | + | 0.485134i | −0.0835560 | + | 0.0245343i | ||||
\(392\) | 2.90220 | − | 6.35494i | 0.146583 | − | 0.320973i | ||||
\(393\) | −1.75051 | + | 25.2022i | −0.0883017 | + | 1.27128i | ||||
\(394\) | −4.29443 | − | 2.75986i | −0.216350 | − | 0.139040i | ||||
\(395\) | 2.58665 | + | 2.24134i | 0.130148 | + | 0.112774i | ||||
\(396\) | −4.04364 | + | 6.34917i | −0.203200 | + | 0.319058i | ||||
\(397\) | −14.5753 | + | 4.27971i | −0.731515 | + | 0.214792i | −0.626217 | − | 0.779648i | \(-0.715398\pi\) |
−0.105298 | + | 0.994441i | \(0.533580\pi\) | |||||||
\(398\) | −2.46338 | − | 17.1332i | −0.123478 | − | 0.858809i | ||||
\(399\) | 14.6761 | + | 7.97471i | 0.734725 | + | 0.399235i | ||||
\(400\) | 12.2841 | − | 14.1766i | 0.614203 | − | 0.708828i | ||||
\(401\) | 25.2622 | 1.26153 | 0.630767 | − | 0.775972i | \(-0.282740\pi\) | ||||
0.630767 | + | 0.775972i | \(0.282740\pi\) | |||||||
\(402\) | 11.8970 | − | 9.62034i | 0.593368 | − | 0.479819i | ||||
\(403\) | 3.26350 | 0.162567 | ||||||||
\(404\) | −5.97062 | + | 6.89046i | −0.297049 | + | 0.342813i | ||||
\(405\) | 4.90527 | − | 36.2257i | 0.243745 | − | 1.80007i | ||||
\(406\) | −0.306610 | − | 2.13252i | −0.0152168 | − | 0.105835i | ||||
\(407\) | 32.0548 | − | 9.41214i | 1.58890 | − | 0.466543i | ||||
\(408\) | 3.48508 | − | 1.30802i | 0.172537 | − | 0.0647567i | ||||
\(409\) | 0.674008 | + | 0.584031i | 0.0333275 | + | 0.0288785i | 0.671365 | − | 0.741127i | \(-0.265708\pi\) |
−0.638038 | + | 0.770005i | \(0.720254\pi\) | |||||||
\(410\) | −24.6274 | − | 15.8270i | −1.21626 | − | 0.781642i | ||||
\(411\) | 8.92055 | + | 0.619611i | 0.440018 | + | 0.0305631i | ||||
\(412\) | 1.46309 | − | 3.20372i | 0.0720812 | − | 0.157836i | ||||
\(413\) | 3.96677 | − | 1.16475i | 0.195192 | − | 0.0573135i | ||||
\(414\) | −7.60653 | + | 2.26744i | −0.373841 | + | 0.111438i | ||||
\(415\) | 13.7381 | + | 21.3769i | 0.674377 | + | 1.04935i | ||||
\(416\) | −26.4027 | + | 3.79614i | −1.29450 | + | 0.186121i | ||||
\(417\) | 6.10674 | + | 1.31532i | 0.299048 | + | 0.0644115i | ||||
\(418\) | −13.8098 | + | 4.05491i | −0.675458 | + | 0.198332i | ||||
\(419\) | −27.3614 | − | 3.93397i | −1.33669 | − | 0.192187i | −0.563372 | − | 0.826204i | \(-0.690496\pi\) |
−0.773320 | + | 0.634016i | \(0.781405\pi\) | |||||||
\(420\) | −9.04401 | − | 9.00696i | −0.441303 | − | 0.439495i | ||||
\(421\) | −4.64010 | − | 5.35496i | −0.226145 | − | 0.260985i | 0.631326 | − | 0.775517i | \(-0.282511\pi\) |
−0.857471 | + | 0.514533i | \(0.827965\pi\) | |||||||
\(422\) | −8.80726 | − | 19.2852i | −0.428731 | − | 0.938789i | ||||
\(423\) | 2.33182 | + | 1.48508i | 0.113377 | + | 0.0722072i | ||||
\(424\) | 1.39164 | − | 3.04726i | 0.0675839 | − | 0.147988i | ||||
\(425\) | −7.34625 | + | 3.35492i | −0.356345 | + | 0.162738i | ||||
\(426\) | 8.52551 | + | 15.5374i | 0.413062 | + | 0.752790i | ||||
\(427\) | 17.2121 | − | 11.0615i | 0.832952 | − | 0.535306i | ||||
\(428\) | 2.71404 | + | 0.390220i | 0.131188 | + | 0.0188620i | ||||
\(429\) | 29.8041 | − | 11.1861i | 1.43896 | − | 0.540070i | ||||
\(430\) | −12.4598 | + | 19.3879i | −0.600867 | + | 0.934968i | ||||
\(431\) | 37.5654i | 1.80946i | 0.425985 | + | 0.904730i | \(0.359928\pi\) | ||||
−0.425985 | + | 0.904730i | \(0.640072\pi\) | |||||||
\(432\) | 7.92411 | − | 3.01125i | 0.381249 | − | 0.144879i | ||||
\(433\) | 21.8642 | − | 34.0213i | 1.05072 | − | 1.63496i | 0.326780 | − | 0.945100i | \(-0.394036\pi\) |
0.723944 | − | 0.689859i | \(-0.242327\pi\) | |||||||
\(434\) | −0.519274 | + | 1.13705i | −0.0249259 | + | 0.0545802i | ||||
\(435\) | 6.32197 | + | 1.36168i | 0.303115 | + | 0.0652874i | ||||
\(436\) | −8.31448 | + | 7.20454i | −0.398192 | + | 0.345035i | ||||
\(437\) | 9.90215 | + | 4.52216i | 0.473684 | + | 0.216324i | ||||
\(438\) | −0.445225 | − | 6.05051i | −0.0212737 | − | 0.289105i | ||||
\(439\) | 27.6251 | 1.31848 | 0.659238 | − | 0.751934i | \(-0.270879\pi\) | ||||
0.659238 | + | 0.751934i | \(0.270879\pi\) | |||||||
\(440\) | 37.3310 | 1.77969 | ||||||||
\(441\) | −5.15811 | + | 4.50673i | −0.245624 | + | 0.214606i | ||||
\(442\) | −4.45028 | − | 1.30672i | −0.211678 | − | 0.0621543i | ||||
\(443\) | 0.839402 | − | 5.83817i | 0.0398812 | − | 0.277380i | −0.960116 | − | 0.279601i | \(-0.909798\pi\) |
0.999998 | + | 0.00222103i | \(0.000706976\pi\) | |||||||
\(444\) | 15.0902 | + | 5.59310i | 0.716150 | + | 0.265437i | ||||
\(445\) | −71.1572 | − | 10.2309i | −3.37318 | − | 0.484989i | ||||
\(446\) | 7.44327 | + | 16.2985i | 0.352449 | + | 0.771756i | ||||
\(447\) | −2.39439 | − | 10.8991i | −0.113251 | − | 0.515510i | ||||
\(448\) | 4.87487 | − | 16.6023i | 0.230316 | − | 0.784383i | ||||
\(449\) | 21.1212 | − | 9.64571i | 0.996769 | − | 0.455209i | 0.150871 | − | 0.988554i | \(-0.451792\pi\) |
0.845898 | + | 0.533344i | \(0.179065\pi\) | |||||||
\(450\) | −33.7983 | + | 15.6032i | −1.59327 | + | 0.735541i | ||||
\(451\) | −2.85480 | − | 19.8555i | −0.134427 | − | 0.934961i | ||||
\(452\) | −1.01068 | + | 7.02941i | −0.0475382 | + | 0.330636i | ||||
\(453\) | −26.4527 | − | 19.7177i | −1.24286 | − | 0.926417i | ||||
\(454\) | 14.5731 | − | 12.6277i | 0.683952 | − | 0.592647i | ||||
\(455\) | 7.68212 | + | 53.4303i | 0.360143 | + | 2.50485i | ||||
\(456\) | −22.0657 | − | 8.17852i | −1.03332 | − | 0.382994i | ||||
\(457\) | 5.99285 | − | 3.85137i | 0.280334 | − | 0.180159i | −0.392917 | − | 0.919574i | \(-0.628534\pi\) |
0.673250 | + | 0.739415i | \(0.264898\pi\) | |||||||
\(458\) | 2.87725 | + | 9.79900i | 0.134445 | + | 0.457877i | ||||
\(459\) | −3.64186 | − | 0.237941i | −0.169987 | − | 0.0111062i | ||||
\(460\) | −6.28692 | − | 5.44765i | −0.293129 | − | 0.253998i | ||||
\(461\) | −7.34756 | + | 11.4330i | −0.342210 | + | 0.532489i | −0.969116 | − | 0.246606i | \(-0.920685\pi\) |
0.626906 | + | 0.779095i | \(0.284321\pi\) | |||||||
\(462\) | −0.844901 | + | 12.1641i | −0.0393084 | + | 0.565924i | ||||
\(463\) | 4.29754 | − | 14.6361i | 0.199723 | − | 0.680195i | −0.797334 | − | 0.603538i | \(-0.793757\pi\) |
0.997058 | − | 0.0766573i | \(-0.0244247\pi\) | |||||||
\(464\) | 0.422489 | + | 1.43886i | 0.0196135 | + | 0.0667976i | ||||
\(465\) | −2.65860 | − | 2.64770i | −0.123289 | − | 0.122784i | ||||
\(466\) | 2.38791 | + | 5.22880i | 0.110618 | + | 0.242220i | ||||
\(467\) | 4.21643 | + | 3.65356i | 0.195113 | + | 0.169067i | 0.746938 | − | 0.664893i | \(-0.231523\pi\) |
−0.551825 | + | 0.833960i | \(0.686068\pi\) | |||||||
\(468\) | 14.7317 | + | 4.26000i | 0.680971 | + | 0.196918i | ||||
\(469\) | −6.80902 | + | 16.4214i | −0.314411 | + | 0.758271i | ||||
\(470\) | − | 4.03943i | − | 0.186325i | ||||||
\(471\) | 34.2893 | + | 2.38169i | 1.57997 | + | 0.109743i | ||||
\(472\) | −5.29834 | + | 2.41967i | −0.243876 | + | 0.111374i | ||||
\(473\) | −15.6313 | + | 2.24744i | −0.718727 | + | 0.103337i | ||||
\(474\) | 0.941299 | − | 1.26282i | 0.0432353 | − | 0.0580034i | ||||
\(475\) | 48.9870 | + | 14.3839i | 2.24768 | + | 0.659978i | ||||
\(476\) | −0.834490 | + | 0.963053i | −0.0382488 | + | 0.0441414i | ||||
\(477\) | −2.47337 | + | 2.16102i | −0.113248 | + | 0.0989465i | ||||
\(478\) | −12.9845 | + | 14.9850i | −0.593899 | + | 0.685396i | ||||
\(479\) | 0.510857 | + | 0.233301i | 0.0233417 | + | 0.0106598i | 0.427052 | − | 0.904227i | \(-0.359552\pi\) |
−0.403710 | + | 0.914887i | \(0.632280\pi\) | |||||||
\(480\) | 24.5887 | + | 18.3282i | 1.12231 | + | 0.836565i | ||||
\(481\) | −36.7960 | − | 57.2557i | −1.67775 | − | 2.61063i | ||||
\(482\) | 4.96113 | − | 3.18833i | 0.225973 | − | 0.145224i | ||||
\(483\) | 6.50781 | − | 6.53458i | 0.296116 | − | 0.297334i | ||||
\(484\) | −1.08219 | − | 1.24891i | −0.0491904 | − | 0.0567687i | ||||
\(485\) | −1.21191 | − | 4.12738i | −0.0550300 | − | 0.187415i | ||||
\(486\) | −16.7913 | − | 1.02786i | −0.761668 | − | 0.0466246i | ||||
\(487\) | 5.56961 | − | 0.800789i | 0.252383 | − | 0.0362872i | −0.0149620 | − | 0.999888i | \(-0.504763\pi\) |
0.267345 | + | 0.963601i | \(0.413854\pi\) | |||||||
\(488\) | −21.7853 | + | 18.8771i | −0.986176 | + | 0.854526i | ||||
\(489\) | −11.2503 | + | 20.7043i | −0.508755 | + | 0.936279i | ||||
\(490\) | 9.60277 | + | 2.81963i | 0.433809 | + | 0.127378i | ||||
\(491\) | 23.5647 | + | 10.7616i | 1.06346 | + | 0.485665i | 0.868778 | − | 0.495201i | \(-0.164906\pi\) |
0.194681 | + | 0.980867i | \(0.437633\pi\) | |||||||
\(492\) | 4.61366 | − | 8.49068i | 0.208000 | − | 0.382789i | ||||
\(493\) | 0.0918830 | − | 0.639060i | 0.00413820 | − | 0.0287818i | ||||
\(494\) | 15.8524 | + | 24.6667i | 0.713231 | + | 1.10981i | ||||
\(495\) | −33.3552 | − | 15.0676i | −1.49920 | − | 0.677239i | ||||
\(496\) | 0.245128 | − | 0.834830i | 0.0110066 | − | 0.0374850i | ||||
\(497\) | −17.3232 | − | 11.1329i | −0.777052 | − | 0.499381i | ||||
\(498\) | 9.34688 | − | 7.02697i | 0.418844 | − | 0.314886i | ||||
\(499\) | − | 8.93292i | − | 0.399892i | −0.979807 | − | 0.199946i | \(-0.935923\pi\) | ||
0.979807 | − | 0.199946i | \(-0.0640768\pi\) | |||||||
\(500\) | −18.5494 | − | 11.9210i | −0.829553 | − | 0.533121i | ||||
\(501\) | 2.52772 | + | 11.5060i | 0.112930 | + | 0.514050i | ||||
\(502\) | 20.4527 | + | 23.6036i | 0.912847 | + | 1.05348i | ||||
\(503\) | −8.49128 | − | 9.79946i | −0.378608 | − | 0.436936i | 0.534180 | − | 0.845371i | \(-0.320620\pi\) |
−0.912788 | + | 0.408434i | \(0.866075\pi\) | |||||||
\(504\) | −12.9937 | + | 15.1205i | −0.578784 | + | 0.673519i | ||||
\(505\) | −37.2937 | − | 23.9672i | −1.65955 | − | 1.06653i | ||||
\(506\) | 7.94690i | 0.353283i | ||||||||
\(507\) | −25.4411 | − | 33.8403i | −1.12988 | − | 1.50290i | ||||
\(508\) | 3.44030 | + | 2.21095i | 0.152639 | + | 0.0980949i | ||||
\(509\) | −0.275428 | + | 0.938022i | −0.0122081 | + | 0.0415771i | −0.965372 | − | 0.260878i | \(-0.915988\pi\) |
0.953164 | + | 0.302455i | \(0.0978062\pi\) | |||||||
\(510\) | 2.56524 | + | 4.67506i | 0.113591 | + | 0.207015i | ||||
\(511\) | 3.81105 | + | 5.93010i | 0.168591 | + | 0.262332i | ||||
\(512\) | −2.43291 | + | 16.9213i | −0.107520 | + | 0.747821i | ||||
\(513\) | 16.4146 | + | 16.2137i | 0.724722 | + | 0.715851i | ||||
\(514\) | −8.88304 | − | 4.05675i | −0.391814 | − | 0.178935i | ||||
\(515\) | 16.4311 | + | 4.82462i | 0.724043 | + | 0.212598i | ||||
\(516\) | −6.68429 | − | 3.63211i | −0.294259 | − | 0.159895i | ||||
\(517\) | 2.09185 | − | 1.81260i | 0.0919997 | − | 0.0797182i | ||||
\(518\) | 25.8035 | − | 3.70998i | 1.13374 | − | 0.163007i | ||||
\(519\) | −18.3747 | − | 33.4871i | −0.806559 | − | 1.46992i | ||||
\(520\) | −21.4263 | − | 72.9713i | −0.939605 | − | 3.20000i | ||||
\(521\) | 14.2344 | + | 16.4274i | 0.623622 | + | 0.719698i | 0.976391 | − | 0.216013i | \(-0.0693053\pi\) |
−0.352769 | + | 0.935710i | \(0.614760\pi\) | |||||||
\(522\) | 0.411434 | − | 2.94742i | 0.0180080 | − | 0.129005i | ||||
\(523\) | −22.9303 | + | 14.7364i | −1.00267 | + | 0.644379i | −0.935487 | − | 0.353361i | \(-0.885039\pi\) |
−0.0671864 | + | 0.997740i | \(0.521402\pi\) | |||||||
\(524\) | 6.58739 | + | 10.2502i | 0.287772 | + | 0.447781i | ||||
\(525\) | 25.8496 | − | 34.6791i | 1.12817 | − | 1.51352i | ||||
\(526\) | 0.624701 | + | 0.285292i | 0.0272383 | + | 0.0124393i | ||||
\(527\) | −0.245308 | + | 0.283101i | −0.0106858 | + | 0.0123321i | ||||
\(528\) | −0.622846 | − | 8.46435i | −0.0271059 | − | 0.368363i | ||||
\(529\) | −11.1257 | + | 12.8397i | −0.483726 | + | 0.558250i | ||||
\(530\) | 4.60463 | + | 1.35204i | 0.200012 | + | 0.0587290i | ||||
\(531\) | 5.71069 | − | 0.0234419i | 0.247823 | − | 0.00101729i | ||||
\(532\) | 7.97385 | − | 1.14647i | 0.345710 | − | 0.0497057i | ||||
\(533\) | −37.1733 | + | 16.9765i | −1.61015 | + | 0.735333i | ||||
\(534\) | −2.29233 | + | 33.0028i | −0.0991989 | + | 1.42817i | ||||
\(535\) | 13.3321i | 0.576395i | ||||||||
\(536\) | 6.20296 | − | 24.2659i | 0.267927 | − | 1.04813i | ||||
\(537\) | 19.0591 | + | 25.3513i | 0.822461 | + | 1.09399i | ||||
\(538\) | 8.08925 | + | 7.00938i | 0.348752 | + | 0.302196i | ||||
\(539\) | 2.84886 | + | 6.23813i | 0.122709 | + | 0.268695i | ||||
\(540\) | −8.54489 | − | 15.4223i | −0.367714 | − | 0.663669i | ||||
\(541\) | 1.48592 | + | 5.06056i | 0.0638845 | + | 0.217571i | 0.985248 | − | 0.171131i | \(-0.0547420\pi\) |
−0.921364 | + | 0.388701i | \(0.872924\pi\) | |||||||
\(542\) | −2.74611 | + | 9.35238i | −0.117955 | + | 0.401719i | ||||
\(543\) | 17.2063 | + | 1.19513i | 0.738394 | + | 0.0512879i | ||||
\(544\) | 1.65531 | − | 2.57572i | 0.0709709 | − | 0.110433i | ||||
\(545\) | −40.4271 | − | 35.0303i | −1.73171 | − | 1.50053i | ||||
\(546\) | 24.2622 | − | 5.33009i | 1.03832 | − | 0.228107i | ||||
\(547\) | 7.64587 | + | 26.0394i | 0.326914 | + | 1.11337i | 0.944950 | + | 0.327216i | \(0.106110\pi\) |
−0.618036 | + | 0.786150i | \(0.712071\pi\) | |||||||
\(548\) | 3.62815 | − | 2.33167i | 0.154987 | − | 0.0996040i | ||||
\(549\) | 27.0844 | − | 8.07359i | 1.15593 | − | 0.344573i | ||||
\(550\) | 5.30424 | + | 36.8918i | 0.226174 | + | 1.57307i | ||||
\(551\) | −3.08462 | + | 2.67284i | −0.131409 | + | 0.113867i | ||||
\(552\) | −7.76528 | + | 10.4177i | −0.330512 | + | 0.443407i | ||||
\(553\) | −0.260444 | + | 1.81143i | −0.0110752 | + | 0.0770296i | ||||
\(554\) | −4.36236 | − | 30.3409i | −0.185339 | − | 1.28906i | ||||
\(555\) | −16.4763 | + | 76.4959i | −0.699380 | + | 3.24707i | ||||
\(556\) | 2.74059 | − | 1.25158i | 0.116227 | − | 0.0530790i | ||||
\(557\) | 5.65789 | − | 19.2690i | 0.239732 | − | 0.816454i | −0.748453 | − | 0.663188i | \(-0.769203\pi\) |
0.988185 | − | 0.153266i | \(-0.0489790\pi\) | |||||||
\(558\) | −1.12537 | + | 1.30957i | −0.0476406 | + | 0.0554384i | ||||
\(559\) | 13.3647 | + | 29.2647i | 0.565268 | + | 1.23776i | ||||
\(560\) | 14.2449 | + | 2.04811i | 0.601957 | + | 0.0865484i | ||||
\(561\) | −1.26993 | + | 3.42626i | −0.0536163 | + | 0.144657i | ||||
\(562\) | −1.68041 | + | 11.6875i | −0.0708839 | + | 0.493008i | ||||
\(563\) | 2.02684 | + | 0.595134i | 0.0854211 | + | 0.0250819i | 0.324164 | − | 0.946001i | \(-0.394917\pi\) |
−0.238743 | + | 0.971083i | \(0.576735\pi\) | |||||||
\(564\) | 1.32977 | − | 0.0978508i | 0.0559935 | − | 0.00412026i | ||||
\(565\) | −34.5303 | −1.45270 | ||||||||
\(566\) | −4.79443 | −0.201525 | ||||||||
\(567\) | 17.7128 | − | 8.26556i | 0.743866 | − | 0.347121i | ||||
\(568\) | 26.3904 | + | 12.0521i | 1.10732 | + | 0.505695i | ||||
\(569\) | 9.95641 | − | 8.62728i | 0.417394 | − | 0.361674i | −0.420700 | − | 0.907200i | \(-0.638215\pi\) |
0.838094 | + | 0.545526i | \(0.183670\pi\) | |||||||
\(570\) | 7.09828 | − | 32.9558i | 0.297314 | − | 1.38036i | ||||
\(571\) | 9.89859 | − | 21.6749i | 0.414243 | − | 0.907066i | −0.581382 | − | 0.813631i | \(-0.697488\pi\) |
0.995625 | − | 0.0934354i | \(-0.0297849\pi\) | |||||||
\(572\) | 8.30088 | − | 12.9164i | 0.347077 | − | 0.540063i | ||||
\(573\) | 7.25688 | + | 9.65270i | 0.303161 | + | 0.403247i | ||||
\(574\) | − | 15.6529i | − | 0.653340i | ||||||
\(575\) | 15.2406 | − | 23.7148i | 0.635576 | − | 0.988975i | ||||
\(576\) | 12.8394 | − | 20.1600i | 0.534975 | − | 0.839999i | ||||
\(577\) | 11.4812 | + | 1.65075i | 0.477970 | + | 0.0687217i | 0.377089 | − | 0.926177i | \(-0.376925\pi\) |
0.100881 | + | 0.994899i | \(0.467834\pi\) | |||||||
\(578\) | −14.9858 | + | 9.63078i | −0.623326 | + | 0.400588i | ||||
\(579\) | −16.7791 | + | 9.20686i | −0.697318 | + | 0.382624i | ||||
\(580\) | 2.83718 | − | 1.29570i | 0.117807 | − | 0.0538008i | ||||
\(581\) | −5.64423 | + | 12.3591i | −0.234162 | + | 0.512743i | ||||
\(582\) | −1.85332 | + | 0.695588i | −0.0768224 | + | 0.0288330i | ||||
\(583\) | 1.36606 | + | 2.99125i | 0.0565764 | + | 0.123885i | ||||
\(584\) | −6.50375 | − | 7.50572i | −0.269127 | − | 0.310589i | ||||
\(585\) | −10.3085 | + | 73.8477i | −0.426203 | + | 3.05323i | ||||
\(586\) | −21.2639 | − | 3.05729i | −0.878405 | − | 0.126296i | ||||
\(587\) | −32.5399 | + | 9.55459i | −1.34307 | + | 0.394360i | −0.872763 | − | 0.488144i | \(-0.837674\pi\) |
−0.470304 | + | 0.882504i | \(0.655856\pi\) | |||||||
\(588\) | −0.695600 | + | 3.22952i | −0.0286860 | + | 0.133183i | ||||
\(589\) | 2.34401 | − | 0.337018i | 0.0965833 | − | 0.0138866i | ||||
\(590\) | −4.51120 | − | 7.01956i | −0.185723 | − | 0.288991i | ||||
\(591\) | 7.68235 | + | 2.84742i | 0.316010 | + | 0.117127i | ||||
\(592\) | −17.4103 | + | 5.11212i | −0.715558 | + | 0.210107i | ||||
\(593\) | 11.4242 | − | 25.0156i | 0.469137 | − | 1.02727i | −0.516172 | − | 0.856485i | \(-0.672644\pi\) |
0.985309 | − | 0.170781i | \(-0.0546292\pi\) | |||||||
\(594\) | −5.78877 | + | 15.8170i | −0.237516 | + | 0.648981i | ||||
\(595\) | −5.21239 | − | 3.34980i | −0.213687 | − | 0.137328i | ||||
\(596\) | −4.06748 | − | 3.52449i | −0.166610 | − | 0.144369i | ||||
\(597\) | 9.76190 | + | 26.0095i | 0.399528 | + | 1.06450i | ||||
\(598\) | 15.5339 | − | 4.56116i | 0.635227 | − | 0.186520i | ||||
\(599\) | −6.70261 | − | 46.6177i | −0.273861 | − | 1.90475i | −0.406619 | − | 0.913598i | \(-0.633292\pi\) |
0.132758 | − | 0.991149i | \(-0.457617\pi\) | |||||||
\(600\) | −29.0953 | + | 53.5451i | −1.18781 | + | 2.18597i | ||||
\(601\) | −5.48077 | + | 6.32515i | −0.223565 | + | 0.258008i | −0.856441 | − | 0.516246i | \(-0.827329\pi\) |
0.632875 | + | 0.774254i | \(0.281875\pi\) | |||||||
\(602\) | −12.3228 | −0.502239 | ||||||||
\(603\) | −15.3366 | + | 19.1778i | −0.624553 | + | 0.780982i | ||||
\(604\) | −15.9126 | −0.647476 | ||||||||
\(605\) | 5.26187 | − | 6.07252i | 0.213926 | − | 0.246883i | ||||
\(606\) | −9.74018 | + | 17.9252i | −0.395668 | + | 0.728160i | ||||
\(607\) | 1.92970 | + | 13.4214i | 0.0783242 | + | 0.544757i | 0.990769 | + | 0.135558i | \(0.0432827\pi\) |
−0.912445 | + | 0.409199i | \(0.865808\pi\) | |||||||
\(608\) | −18.5717 | + | 5.45315i | −0.753183 | + | 0.221154i | ||||
\(609\) | 1.21503 | + | 3.23733i | 0.0492357 | + | 0.131183i | ||||
\(610\) | −31.2085 | − | 27.0423i | −1.26360 | − | 1.09491i | ||||
\(611\) | −4.74374 | − | 3.04862i | −0.191911 | − | 0.123334i | ||||
\(612\) | −1.47688 | + | 0.957722i | −0.0596993 | + | 0.0387136i | ||||
\(613\) | −5.71550 | + | 12.5152i | −0.230847 | + | 0.505484i | −0.989238 | − | 0.146316i | \(-0.953258\pi\) |
0.758391 | + | 0.651800i | \(0.225986\pi\) | |||||||
\(614\) | −6.59385 | + | 1.93613i | −0.266106 | + | 0.0781358i | ||||
\(615\) | 44.0562 | + | 16.3292i | 1.77652 | + | 0.658456i | ||||
\(616\) | 10.7915 | + | 16.7919i | 0.434803 | + | 0.676567i | ||||
\(617\) | −26.3976 | + | 3.79540i | −1.06273 | + | 0.152797i | −0.651433 | − | 0.758706i | \(-0.725832\pi\) |
−0.411293 | + | 0.911503i | \(0.634923\pi\) | |||||||
\(618\) | 1.65934 | − | 7.70394i | 0.0667483 | − | 0.309898i | ||||
\(619\) | 7.64261 | − | 2.24407i | 0.307183 | − | 0.0901969i | −0.124508 | − | 0.992219i | \(-0.539735\pi\) |
0.431691 | + | 0.902022i | \(0.357917\pi\) | |||||||
\(620\) | −1.79125 | − | 0.257543i | −0.0719383 | − | 0.0103432i | ||||
\(621\) | 11.1431 | − | 6.17395i | 0.447156 | − | 0.247752i | ||||
\(622\) | −2.71908 | − | 3.13798i | −0.109025 | − | 0.125822i | ||||
\(623\) | −15.9679 | − | 34.9649i | −0.639742 | − | 1.40084i | ||||
\(624\) | −16.1879 | + | 6.07563i | −0.648033 | + | 0.243220i | ||||
\(625\) | 20.6543 | − | 45.2265i | 0.826171 | − | 1.80906i | ||||
\(626\) | 7.46707 | − | 3.41010i | 0.298444 | − | 0.136295i | ||||
\(627\) | 20.2516 | − | 11.1122i | 0.808772 | − | 0.443780i | ||||
\(628\) | 13.9461 | − | 8.96259i | 0.556509 | − | 0.357646i | ||||
\(629\) | 7.73264 | + | 1.11179i | 0.308321 | + | 0.0443298i | ||||
\(630\) | −24.0894 | − | 15.3419i | −0.959743 | − | 0.611238i | ||||
\(631\) | −13.1932 | + | 20.5290i | −0.525213 | + | 0.817248i | −0.997953 | − | 0.0639543i | \(-0.979629\pi\) |
0.472739 | + | 0.881202i | \(0.343265\pi\) | |||||||
\(632\) | − | 2.57836i | − | 0.102561i | ||||||
\(633\) | 20.4476 | + | 27.1983i | 0.812719 | + | 1.08103i | ||||
\(634\) | 1.01577 | − | 1.58056i | 0.0403412 | − | 0.0627722i | ||||
\(635\) | −8.26018 | + | 18.0873i | −0.327795 | + | 0.717771i | ||||
\(636\) | −0.333547 | + | 1.54859i | −0.0132260 | + | 0.0614055i | ||||
\(637\) | 10.5586 | − | 9.14909i | 0.418348 | − | 0.362500i | ||||
\(638\) | −2.71034 | − | 1.23777i | −0.107303 | − | 0.0490038i | ||||
\(639\) | −18.7153 | − | 21.4203i | −0.740365 | − | 0.847373i | ||||
\(640\) | 0.489163 | 0.0193358 | ||||||||
\(641\) | −26.2569 | −1.03708 | −0.518542 | − | 0.855052i | \(-0.673525\pi\) | ||||
−0.518542 | + | 0.855052i | \(0.673525\pi\) | |||||||
\(642\) | 6.11869 | − | 0.450242i | 0.241485 | − | 0.0177696i | ||||
\(643\) | −3.23548 | − | 0.950022i | −0.127595 | − | 0.0374652i | 0.217312 | − | 0.976102i | \(-0.430271\pi\) |
−0.344906 | + | 0.938637i | \(0.612089\pi\) | |||||||
\(644\) | 0.633016 | − | 4.40272i | 0.0249443 | − | 0.173492i | ||||
\(645\) | 12.8551 | − | 34.6832i | 0.506171 | − | 1.36565i | ||||
\(646\) | −3.33135 | − | 0.478976i | −0.131070 | − | 0.0188451i | ||||
\(647\) | 8.70596 | + | 19.0634i | 0.342267 | + | 0.749459i | 0.999993 | − | 0.00379783i | \(-0.00120889\pi\) |
−0.657726 | + | 0.753257i | \(0.728482\pi\) | |||||||
\(648\) | −23.0442 | + | 15.0783i | −0.905260 | + | 0.592333i | ||||
\(649\) | 1.61085 | − | 5.48604i | 0.0632312 | − | 0.215346i | ||||
\(650\) | 69.0684 | − | 31.5425i | 2.70909 | − | 1.23720i | ||||
\(651\) | 0.422432 | − | 1.96126i | 0.0165564 | − | 0.0768678i | ||||
\(652\) | 1.61737 | + | 11.2491i | 0.0633412 | + | 0.440548i | ||||
\(653\) | −3.58905 | + | 24.9624i | −0.140450 | + | 0.976853i | 0.790697 | + | 0.612208i | \(0.209719\pi\) |
−0.931147 | + | 0.364644i | \(0.881191\pi\) | |||||||
\(654\) | −14.7117 | + | 19.7369i | −0.575274 | + | 0.771773i | ||||
\(655\) | −44.7734 | + | 38.7964i | −1.74944 | + | 1.51590i | ||||
\(656\) | 1.55056 | + | 10.7844i | 0.0605391 | + | 0.421059i | ||||
\(657\) | 2.78160 | + | 9.33140i | 0.108521 | + | 0.364053i | ||||
\(658\) | 1.81698 | − | 1.16770i | 0.0708334 | − | 0.0455219i | ||||
\(659\) | 8.53586 | + | 29.0705i | 0.332510 | + | 1.13242i | 0.940871 | + | 0.338764i | \(0.110009\pi\) |
−0.608361 | + | 0.793660i | \(0.708173\pi\) | |||||||
\(660\) | −17.2415 | + | 3.78773i | −0.671123 | + | 0.147437i | ||||
\(661\) | −10.1050 | − | 8.75605i | −0.393040 | − | 0.340571i | 0.435813 | − | 0.900037i | \(-0.356461\pi\) |
−0.828853 | + | 0.559466i | \(0.811006\pi\) | |||||||
\(662\) | 7.91040 | − | 12.3088i | 0.307447 | − | 0.478396i | ||||
\(663\) | 7.42623 | + | 0.515817i | 0.288411 | + | 0.0200327i | ||||
\(664\) | 5.39310 | − | 18.3672i | 0.209293 | − | 0.712786i | ||||
\(665\) | 11.0354 | + | 37.5830i | 0.427933 | + | 1.45740i | ||||
\(666\) | 35.6639 | + | 4.97836i | 1.38195 | + | 0.192907i | ||||
\(667\) | 0.936180 | + | 2.04995i | 0.0362490 | + | 0.0793743i | ||||
\(668\) | 4.29396 | + | 3.72074i | 0.166138 | + | 0.143960i | ||||
\(669\) | −17.2809 | − | 22.9861i | −0.668117 | − | 0.888692i | ||||
\(670\) | 35.6728 | + | 3.84843i | 1.37816 | + | 0.148678i | ||||
\(671\) | − | 28.2963i | − | 1.09237i | ||||||
\(672\) | −1.13624 | + | 16.3586i | −0.0438316 | + | 0.631045i | ||||
\(673\) | 1.26271 | − | 0.576660i | 0.0486738 | − | 0.0222286i | −0.390929 | − | 0.920421i | \(-0.627846\pi\) |
0.439603 | + | 0.898192i | \(0.355119\pi\) | |||||||
\(674\) | 12.1891 | − | 1.75253i | 0.469508 | − | 0.0675050i | ||||
\(675\) | 47.6085 | − | 36.0989i | 1.83245 | − | 1.38945i | ||||
\(676\) | −19.5922 | − | 5.75279i | −0.753546 | − | 0.221261i | ||||
\(677\) | 6.78686 | − | 7.83246i | 0.260840 | − | 0.301026i | −0.610190 | − | 0.792255i | \(-0.708907\pi\) |
0.871030 | + | 0.491229i | \(0.163452\pi\) | |||||||
\(678\) | 1.16613 | + | 15.8475i | 0.0447851 | + | 0.608620i | ||||
\(679\) | 1.50621 | − | 1.73826i | 0.0578032 | − | 0.0667084i | ||||
\(680\) | 7.94063 | + | 3.62636i | 0.304509 | + | 0.139065i | ||||
\(681\) | −18.4960 | + | 24.8138i | −0.708769 | + | 0.950866i | ||||
\(682\) | 0.934642 | + | 1.45433i | 0.0357893 | + | 0.0556893i | ||||
\(683\) | −14.6912 | + | 9.44145i | −0.562142 | + | 0.361267i | −0.790644 | − | 0.612277i | \(-0.790254\pi\) |
0.228501 | + | 0.973544i | \(0.426617\pi\) | |||||||
\(684\) | 11.0209 | + | 1.53842i | 0.421396 | + | 0.0588230i | ||||
\(685\) | 13.7324 | + | 15.8480i | 0.524686 | + | 0.605520i | ||||
\(686\) | 6.12987 | + | 20.8764i | 0.234040 | + | 0.797066i | ||||
\(687\) | −7.88492 | − | 14.3700i | −0.300828 | − | 0.548248i | ||||
\(688\) | 8.48999 | − | 1.22068i | 0.323678 | − | 0.0465378i | ||||
\(689\) | 5.06297 | − | 4.38709i | 0.192884 | − | 0.167135i | ||||
\(690\) | −16.3551 | − | 8.88702i | −0.622627 | − | 0.338323i | ||||
\(691\) | −35.6713 | − | 10.4740i | −1.35700 | − | 0.398451i | −0.479295 | − | 0.877654i | \(-0.659108\pi\) |
−0.877704 | + | 0.479203i | \(0.840926\pi\) | |||||||
\(692\) | −16.7578 | − | 7.65304i | −0.637036 | − | 0.290925i | ||||
\(693\) | −2.86460 | − | 19.3593i | −0.108817 | − | 0.735397i | ||||
\(694\) | 1.36616 | − | 9.50184i | 0.0518587 | − | 0.360685i | ||||
\(695\) | 7.91999 | + | 12.3237i | 0.300422 | + | 0.467466i | ||||
\(696\) | −2.34354 | − | 4.27101i | −0.0888317 | − | 0.161892i | ||||
\(697\) | 1.32154 | − | 4.50076i | 0.0500570 | − | 0.170479i | ||||
\(698\) | 19.6080 | + | 12.6013i | 0.742173 | + | 0.476965i | ||||
\(699\) | −5.54397 | − | 7.37428i | −0.209692 | − | 0.278921i | ||||
\(700\) | − | 20.8612i | − | 0.788481i | ||||||
\(701\) | −15.5028 | − | 9.96303i | −0.585532 | − | 0.376299i | 0.214079 | − | 0.976816i | \(-0.431325\pi\) |
−0.799611 | + | 0.600518i | \(0.794961\pi\) | |||||||
\(702\) | 34.2402 | + | 2.23709i | 1.29231 | + | 0.0844336i | ||||
\(703\) | −32.3414 | − | 37.3240i | −1.21978 | − | 1.40770i | ||||
\(704\) | −15.6710 | − | 18.0853i | −0.590623 | − | 0.681616i | ||||
\(705\) | 1.39110 | + | 6.33217i | 0.0523917 | + | 0.238483i | ||||
\(706\) | −1.28450 | − | 0.825501i | −0.0483430 | − | 0.0310681i | ||||
\(707\) | − | 23.7035i | − | 0.891462i | ||||||
\(708\) | 2.20155 | − | 1.65512i | 0.0827393 | − | 0.0622032i | ||||
\(709\) | 11.7464 | + | 7.54895i | 0.441145 | + | 0.283507i | 0.742299 | − | 0.670069i | \(-0.233735\pi\) |
−0.301154 | + | 0.953576i | \(0.597372\pi\) | |||||||
\(710\) | −11.7092 | + | 39.8778i | −0.439438 | + | 1.49659i | ||||
\(711\) | −1.04068 | + | 2.30375i | −0.0390286 | + | 0.0863975i | ||||
\(712\) | 29.2789 | + | 45.5588i | 1.09727 | + | 1.70739i | ||||
\(713\) | 0.186083 | − | 1.29423i | 0.00696885 | − | 0.0484694i | ||||
\(714\) | −1.36135 | + | 2.50533i | −0.0509471 | + | 0.0937596i | ||||
\(715\) | 67.9077 | + | 31.0124i | 2.53960 | + | 1.15980i | ||||
\(716\) | 14.6774 | + | 4.30967i | 0.548520 | + | 0.161060i | ||||
\(717\) | 15.1939 | − | 27.9619i | 0.567428 | − | 1.04426i | ||||
\(718\) | 21.2118 | − | 18.3801i | 0.791616 | − | 0.685939i | ||||
\(719\) | −29.1449 | + | 4.19040i | −1.08692 | + | 0.156276i | −0.662406 | − | 0.749145i | \(-0.730465\pi\) |
−0.424515 | + | 0.905421i | \(0.639556\pi\) | |||||||
\(720\) | 18.1165 | + | 8.18384i | 0.675164 | + | 0.304994i | ||||
\(721\) | 2.57969 | + | 8.78562i | 0.0960727 | + | 0.327194i | ||||
\(722\) | 0.505739 | + | 0.583654i | 0.0188217 | + | 0.0217213i | ||||
\(723\) | −6.67903 | + | 6.70650i | −0.248396 | + | 0.249418i | ||||
\(724\) | 6.99812 | − | 4.49742i | 0.260083 | − | 0.167145i | ||||
\(725\) | 5.71428 | + | 8.89160i | 0.212223 | + | 0.330226i | ||||
\(726\) | −2.96466 | − | 2.20984i | −0.110029 | − | 0.0820147i | ||||
\(727\) | −20.0208 | − | 9.14320i | −0.742531 | − | 0.339103i | 0.00797324 | − | 0.999968i | \(-0.497462\pi\) |
−0.750504 | + | 0.660866i | \(0.770189\pi\) | |||||||
\(728\) | 26.6295 | − | 30.7321i | 0.986956 | − | 1.13901i | ||||
\(729\) | 26.6758 | − | 4.17131i | 0.987994 | − | 0.154493i | ||||
\(730\) | 9.31693 | − | 10.7523i | 0.344835 | − | 0.397961i | ||||
\(731\) | −3.54323 | − | 1.04039i | −0.131051 | − | 0.0384800i | ||||
\(732\) | 8.14630 | − | 10.9289i | 0.301096 | − | 0.403942i | ||||
\(733\) | −49.8879 | + | 7.17279i | −1.84265 | + | 0.264933i | −0.973346 | − | 0.229343i | \(-0.926342\pi\) |
−0.869305 | + | 0.494276i | \(0.835433\pi\) | |||||||
\(734\) | −4.75146 | + | 2.16992i | −0.175380 | + | 0.0800932i | ||||
\(735\) | −16.0242 | − | 1.11302i | −0.591063 | − | 0.0410545i | ||||
\(736\) | 10.6872i | 0.393935i | ||||||||
\(737\) | 14.0144 | + | 20.2004i | 0.516228 | + | 0.744091i | ||||
\(738\) | 6.00636 | − | 20.7708i | 0.221097 | − | 0.764585i | ||||
\(739\) | −9.17170 | − | 7.94733i | −0.337387 | − | 0.292347i | 0.469645 | − | 0.882855i | \(-0.344382\pi\) |
−0.807032 | + | 0.590508i | \(0.798927\pi\) | |||||||
\(740\) | 15.6779 | + | 34.3299i | 0.576332 | + | 1.26199i | ||||
\(741\) | −33.3447 | − | 33.2081i | −1.22495 | − | 1.21993i | ||||
\(742\) | 0.722927 | + | 2.46206i | 0.0265395 | + | 0.0903852i | ||||
\(743\) | 7.56663 | − | 25.7696i | 0.277593 | − | 0.945394i | −0.696179 | − | 0.717868i | \(-0.745118\pi\) |
0.973772 | − | 0.227526i | \(-0.0730637\pi\) | |||||||
\(744\) | −0.195859 | + | 2.81979i | −0.00718054 | + | 0.103378i | ||||
\(745\) | 14.1480 | − | 22.0146i | 0.518341 | − | 0.806554i | ||||
\(746\) | 16.3134 | + | 14.1357i | 0.597277 | + | 0.517543i | ||||
\(747\) | −12.2321 | + | 14.2343i | −0.447550 | + | 0.520805i | ||||
\(748\) | 0.496514 | + | 1.69097i | 0.0181543 | + | 0.0618280i | ||||
\(749\) | −5.99693 | + | 3.85399i | −0.219123 | + | 0.140822i | ||||
\(750\) | −46.2617 | − | 17.1466i | −1.68924 | − | 0.626107i | ||||
\(751\) | 3.33975 | + | 23.2285i | 0.121869 | + | 0.847619i | 0.955436 | + | 0.295200i | \(0.0953861\pi\) |
−0.833566 | + | 0.552419i | \(0.813705\pi\) | |||||||
\(752\) | −1.13617 | + | 0.984499i | −0.0414319 | + | 0.0359010i | ||||
\(753\) | −40.1900 | − | 29.9574i | −1.46461 | − | 1.09171i | ||||
\(754\) | −0.863871 | + | 6.00835i | −0.0314603 | + | 0.218811i | ||||
\(755\) | −11.0111 | − | 76.5838i | −0.400734 | − | 2.78717i | ||||
\(756\) | 4.46700 | − | 8.30182i | 0.162463 | − | 0.301934i | ||||
\(757\) | 27.8582 | − | 12.7224i | 1.01252 | − | 0.462403i | 0.161130 | − | 0.986933i | \(-0.448486\pi\) |
0.851392 | + | 0.524530i | \(0.175759\pi\) | |||||||
\(758\) | 5.48208 | − | 18.6702i | 0.199118 | − | 0.678134i | ||||
\(759\) | −2.73675 | − | 12.4575i | −0.0993377 | − | 0.452178i | ||||
\(760\) | −22.9251 | − | 50.1989i | −0.831580 | − | 1.82091i | ||||
\(761\) | 30.9110 | + | 4.44433i | 1.12052 | + | 0.161107i | 0.677584 | − | 0.735445i | \(-0.263027\pi\) |
0.442939 | + | 0.896552i | \(0.353936\pi\) | |||||||
\(762\) | 8.58002 | + | 3.18014i | 0.310822 | + | 0.115204i | ||||
\(763\) | 4.07052 | − | 28.3111i | 0.147363 | − | 1.02493i | ||||
\(764\) | 5.58852 | + | 1.64094i | 0.202186 | + | 0.0593670i | ||||
\(765\) | −5.63125 | − | 6.44516i | −0.203598 | − | 0.233025i | ||||
\(766\) | −40.2926 | −1.45583 | ||||||||
\(767\) | −11.6482 | −0.420591 | ||||||||
\(768\) | −2.04190 | − | 27.7490i | −0.0736808 | − | 1.00131i | ||||
\(769\) | 4.29668 | + | 1.96223i | 0.154942 | + | 0.0707598i | 0.491377 | − | 0.870947i | \(-0.336494\pi\) |
−0.336434 | + | 0.941707i | \(0.609221\pi\) | |||||||
\(770\) | −21.6103 | + | 18.7254i | −0.778782 | + | 0.674818i | ||||
\(771\) | 15.3220 | + | 3.30018i | 0.551810 | + | 0.118853i | ||||
\(772\) | −3.83465 | + | 8.39671i | −0.138012 | + | 0.302204i | ||||
\(773\) | 22.4301 | − | 34.9019i | 0.806754 | − | 1.25533i | −0.156749 | − | 0.987638i | \(-0.550101\pi\) |
0.963504 | − | 0.267696i | \(-0.0862621\pi\) | |||||||
\(774\) | −16.3518 | − | 4.72851i | −0.587755 | − | 0.169963i | ||||
\(775\) | − | 6.13241i | − | 0.220283i | ||||||
\(776\) | −1.75197 | + | 2.72611i | −0.0628919 | + | 0.0978617i | ||||
\(777\) | −39.1717 | + | 14.7019i | −1.40528 | + | 0.527429i | ||||
\(778\) | −15.8573 | − | 2.27994i | −0.568513 | − | 0.0817398i | ||||
\(779\) | −24.9466 | + | 16.0322i | −0.893803 | + | 0.574412i | ||||
\(780\) | 17.2997 | + | 31.5280i | 0.619429 | + | 1.12889i | ||||
\(781\) | −25.9053 | + | 11.8306i | −0.926966 | + | 0.423331i | ||||
\(782\) | −0.771968 | + | 1.69037i | −0.0276055 | + | 0.0604477i | ||||
\(783\) | 0.370073 | + | 4.76204i | 0.0132253 | + | 0.170182i | ||||
\(784\) | −1.54733 | − | 3.38818i | −0.0552618 | − | 0.121007i | ||||
\(785\) | 52.7851 | + | 60.9173i | 1.88398 | + | 2.17423i | ||||
\(786\) | 19.3175 | + | 19.2384i | 0.689032 | + | 0.686209i | ||||
\(787\) | 49.9606 | + | 7.18326i | 1.78090 | + | 0.256055i | 0.952601 | − | 0.304223i | \(-0.0983970\pi\) |
0.828304 | + | 0.560279i | \(0.189306\pi\) | |||||||
\(788\) | 3.79149 | − | 1.11328i | 0.135066 | − | 0.0396590i | ||||
\(789\) | −1.07752 | − | 0.232086i | −0.0383609 | − | 0.00826248i | ||||
\(790\) | 3.65602 | − | 0.525657i | 0.130075 | − | 0.0187020i | ||||
\(791\) | −9.98189 | − | 15.5321i | −0.354915 | − | 0.552259i | ||||
\(792\) | 7.87651 | + | 26.4232i | 0.279880 | + | 0.938908i | ||||
\(793\) | −55.3110 | + | 16.2408i | −1.96415 | + | 0.576727i | ||||
\(794\) | −6.81007 | + | 14.9120i | −0.241681 | + | 0.529206i | ||||
\(795\) | −7.68380 | − | 0.533707i | −0.272516 | − | 0.0189286i | ||||
\(796\) | 11.2719 | + | 7.24402i | 0.399522 | + | 0.256757i | ||||
\(797\) | 33.3244 | + | 28.8758i | 1.18041 | + | 1.02283i | 0.999224 | + | 0.0393846i | \(0.0125398\pi\) |
0.181188 | + | 0.983448i | \(0.442006\pi\) | |||||||
\(798\) | 16.8759 | − | 6.33385i | 0.597399 | − | 0.224216i | ||||
\(799\) | 0.621033 | − | 0.182352i | 0.0219706 | − | 0.00645114i | ||||
\(800\) | 7.13328 | + | 49.6131i | 0.252200 | + | 1.75409i | ||||
\(801\) | −7.77205 | − | 52.5243i | −0.274612 | − | 1.85586i | ||||
\(802\) | 17.8531 | − | 20.6036i | 0.630414 | − | 0.727537i | ||||
\(803\) | 9.74894 | 0.344033 | ||||||||
\(804\) | −0.402761 | + | 11.8367i | −0.0142043 | + | 0.417446i | ||||
\(805\) | 21.6273 | 0.762262 | ||||||||
\(806\) | 2.30635 | − | 2.66167i | 0.0812379 | − | 0.0937535i | ||||
\(807\) | −15.0945 | − | 8.20206i | −0.531352 | − | 0.288726i | ||||
\(808\) | 4.75272 | + | 33.0559i | 0.167200 | + | 1.16290i | ||||
\(809\) | −39.8000 | + | 11.6863i | −1.39929 | + | 0.410869i | −0.892441 | − | 0.451164i | \(-0.851009\pi\) |
−0.506851 | + | 0.862034i | \(0.669191\pi\) | |||||||
\(810\) | −26.0786 | − | 29.6018i | −0.916310 | − | 1.04010i | ||||
\(811\) | −40.3017 | − | 34.9216i | −1.41518 | − | 1.22626i | −0.937617 | − | 0.347669i | \(-0.886973\pi\) |
−0.477567 | − | 0.878595i | \(-0.658481\pi\) | |||||||
\(812\) | 1.40298 | + | 0.901642i | 0.0492350 | + | 0.0316414i | ||||
\(813\) | 1.08400 | − | 15.6064i | 0.0380176 | − | 0.547341i | ||||
\(814\) | 14.9771 | − | 32.7952i | 0.524946 | − | 1.14947i | ||||
\(815\) | −53.0200 | + | 15.5681i | −1.85721 | + | 0.545325i | ||||
\(816\) | 0.689749 | − | 1.86094i | 0.0241460 | − | 0.0651461i | ||||
\(817\) | 12.6213 | + | 19.6392i | 0.441565 | + | 0.687088i | ||||
\(818\) | 0.952657 | − | 0.136971i | 0.0333089 | − | 0.00478909i | ||||
\(819\) | −36.1976 | + | 16.7108i | −1.26485 | + | 0.583922i | ||||
\(820\) | 21.7431 | − | 6.38436i | 0.759303 | − | 0.222952i | ||||
\(821\) | 0.112831 | + | 0.0162227i | 0.00393784 | + | 0.000566176i | 0.144283 | − | 0.989536i | \(-0.453912\pi\) |
−0.140346 | + | 0.990103i | \(0.544821\pi\) | |||||||
\(822\) | 6.80960 | − | 6.83761i | 0.237512 | − | 0.238489i | ||||
\(823\) | 9.03865 | + | 10.4312i | 0.315068 | + | 0.363607i | 0.891090 | − | 0.453826i | \(-0.149941\pi\) |
−0.576023 | + | 0.817434i | \(0.695396\pi\) | |||||||
\(824\) | −5.35910 | − | 11.7348i | −0.186693 | − | 0.408801i | ||||
\(825\) | −21.0197 | − | 56.0046i | −0.731811 | − | 1.94983i | ||||
\(826\) | 1.85340 | − | 4.05839i | 0.0644881 | − | 0.141209i | ||||
\(827\) | −50.9644 | + | 23.2747i | −1.77221 | + | 0.809339i | −0.792229 | + | 0.610224i | \(0.791079\pi\) |
−0.979976 | + | 0.199115i | \(0.936193\pi\) | |||||||
\(828\) | 2.52941 | − | 5.59934i | 0.0879030 | − | 0.194591i | ||||
\(829\) | 4.91435 | − | 3.15826i | 0.170682 | − | 0.109691i | −0.452510 | − | 0.891759i | \(-0.649471\pi\) |
0.623193 | + | 0.782068i | \(0.285835\pi\) | |||||||
\(830\) | 27.1436 | + | 3.90266i | 0.942168 | + | 0.135463i | ||||
\(831\) | 17.2872 | + | 46.0598i | 0.599686 | + | 1.59780i | ||||
\(832\) | −26.3571 | + | 41.0124i | −0.913767 | + | 1.42185i | ||||
\(833\) | 1.60364i | 0.0555630i | ||||||||
\(834\) | 5.38846 | − | 4.05103i | 0.186587 | − | 0.140276i | ||||
\(835\) | −14.9357 | + | 23.2405i | −0.516873 | + | 0.804270i | ||||
\(836\) | 4.62824 | − | 10.1344i | 0.160071 | − | 0.350507i | ||||
\(837\) | 1.31313 | − | 2.44042i | 0.0453883 | − | 0.0843532i | ||||
\(838\) | −22.5451 | + | 19.5354i | −0.778807 | + | 0.674840i | ||||
\(839\) | 14.7031 | + | 6.71467i | 0.507607 | + | 0.231816i | 0.652721 | − | 0.757599i | \(-0.273628\pi\) |
−0.145114 | + | 0.989415i | \(0.546355\pi\) | |||||||
\(840\) | −46.6268 | + | 3.43102i | −1.60878 | + | 0.118381i | ||||
\(841\) | 28.1550 | 0.970863 | ||||||||
\(842\) | −7.64665 | −0.263521 | ||||||||
\(843\) | −1.39075 | − | 18.8999i | −0.0478998 | − | 0.650949i | ||||
\(844\) | 15.7467 | + | 4.62365i | 0.542024 | + | 0.159152i | ||||
\(845\) | 14.1296 | − | 98.2733i | 0.486072 | − | 3.38071i | ||||
\(846\) | 2.85914 | − | 0.852284i | 0.0982993 | − | 0.0293021i | ||||
\(847\) | 4.25258 | + | 0.611429i | 0.146120 | + | 0.0210089i | ||||
\(848\) | −0.741962 | − | 1.62467i | −0.0254791 | − | 0.0557914i | ||||
\(849\) | 7.51571 | − | 1.65111i | 0.257938 | − | 0.0566658i | ||||
\(850\) | −2.45544 | + | 8.36247i | −0.0842210 | + | 0.286830i | ||||
\(851\) | −24.8044 | + | 11.3278i | −0.850284 | + | 0.388312i | ||||
\(852\) | −13.4114 | − | 2.88865i | −0.459465 | − | 0.0989634i | ||||
\(853\) | 1.13772 | + | 7.91304i | 0.0389549 | + | 0.270937i | 0.999985 | − | 0.00550705i | \(-0.00175296\pi\) |
−0.961030 | + | 0.276444i | \(0.910844\pi\) | |||||||
\(854\) | 3.14232 | − | 21.8553i | 0.107528 | − | 0.747873i | ||||
\(855\) | 0.222099 | + | 54.1056i | 0.00759564 | + | 1.85037i | ||||
\(856\) | 7.59030 | − | 6.57704i | 0.259431 | − | 0.224798i | ||||
\(857\) | −1.88077 | − | 13.0811i | −0.0642460 | − | 0.446841i | −0.996400 | − | 0.0847785i | \(-0.972982\pi\) |
0.932154 | − | 0.362063i | \(-0.117927\pi\) | |||||||
\(858\) | 11.9397 | − | 32.2132i | 0.407613 | − | 1.09974i | ||||
\(859\) | −10.8706 | + | 6.98613i | −0.370901 | + | 0.238364i | −0.712791 | − | 0.701376i | \(-0.752569\pi\) |
0.341890 | + | 0.939740i | \(0.388933\pi\) | |||||||
\(860\) | −5.02609 | − | 17.1173i | −0.171388 | − | 0.583695i | ||||
\(861\) | 5.39055 | + | 24.5374i | 0.183709 | + | 0.836232i | ||||
\(862\) | 30.6379 | + | 26.5479i | 1.04353 | + | 0.904224i | ||||
\(863\) | 4.42810 | − | 6.89027i | 0.150734 | − | 0.234547i | −0.757672 | − | 0.652635i | \(-0.773663\pi\) |
0.908406 | + | 0.418088i | \(0.137300\pi\) | |||||||
\(864\) | −7.78488 | + | 21.2712i | −0.264847 | + | 0.723660i | ||||
\(865\) | 25.2363 | − | 85.9471i | 0.858061 | − | 2.92229i | ||||
\(866\) | −12.2957 | − | 41.8754i | −0.417825 | − | 1.42298i | ||||
\(867\) | 20.1749 | − | 20.2579i | 0.685177 | − | 0.687995i | ||||
\(868\) | −0.401963 | − | 0.880176i | −0.0136435 | − | 0.0298751i | ||||
\(869\) | 1.91277 | + | 1.65743i | 0.0648864 | + | 0.0562244i | ||||
\(870\) | 5.57837 | − | 4.19381i | 0.189124 | − | 0.142183i | ||||
\(871\) | 31.4423 | − | 38.9882i | 1.06538 | − | 1.32107i | ||||
\(872\) | 40.2976i | 1.36465i | ||||||||
\(873\) | 2.66570 | − | 1.72864i | 0.0902201 | − | 0.0585057i | ||||
\(874\) | 10.6862 | − | 4.88021i | 0.361465 | − | 0.165076i | ||||
\(875\) | 56.7416 | − | 8.15820i | 1.91821 | − | 0.275798i | ||||
\(876\) | 3.76533 | + | 2.80665i | 0.127219 | + | 0.0948280i | ||||
\(877\) | −14.4641 | − | 4.24704i | −0.488418 | − | 0.143413i | 0.0282454 | − | 0.999601i | \(-0.491008\pi\) |
−0.516664 | + | 0.856189i | \(0.672826\pi\) | |||||||
\(878\) | 19.5230 | − | 22.5307i | 0.658869 | − | 0.760375i | ||||
\(879\) | 34.3860 | − | 2.53028i | 1.15981 | − | 0.0853444i | ||||
\(880\) | 13.0339 | − | 15.0419i | 0.439372 | − | 0.507063i | ||||
\(881\) | 23.0760 | + | 10.5385i | 0.777450 | + | 0.355050i | 0.764297 | − | 0.644864i | \(-0.223086\pi\) |
0.0131526 | + | 0.999914i | \(0.495813\pi\) | |||||||
\(882\) | 0.0303429 | + | 7.39184i | 0.00102170 | + | 0.248896i | ||||
\(883\) | 4.89901 | + | 7.62302i | 0.164865 | + | 0.256535i | 0.913850 | − | 0.406052i | \(-0.133095\pi\) |
−0.748985 | + | 0.662587i | \(0.769458\pi\) | |||||||
\(884\) | 3.02038 | − | 1.94108i | 0.101586 | − | 0.0652856i | ||||
\(885\) | 9.48911 | + | 9.45024i | 0.318973 | + | 0.317666i | ||||
\(886\) | −4.16833 | − | 4.81050i | −0.140038 | − | 0.161612i | ||||
\(887\) | −5.12249 | − | 17.4456i | −0.171996 | − | 0.585765i | −0.999697 | − | 0.0245964i | \(-0.992170\pi\) |
0.827701 | − | 0.561169i | \(-0.189648\pi\) | |||||||
\(888\) | 51.6793 | − | 28.3569i | 1.73424 | − | 0.951595i | ||||
\(889\) | −10.5237 | + | 1.51308i | −0.352954 | + | 0.0507471i | ||||
\(890\) | −58.6317 | + | 50.8047i | −1.96534 | + | 1.70298i | ||||
\(891\) | 3.62735 | − | 26.7882i | 0.121521 | − | 0.897438i | ||||
\(892\) | −13.3080 | − | 3.90758i | −0.445585 | − | 0.130835i | ||||
\(893\) | −3.72202 | − | 1.69979i | −0.124553 | − | 0.0568812i | ||||
\(894\) | −10.5813 | − | 5.74968i | −0.353892 | − | 0.192298i | ||||
\(895\) | −10.5851 | + | 73.6211i | −0.353821 | + | 2.46088i | ||||
\(896\) | 0.141406 | + | 0.220031i | 0.00472403 | + | 0.00735073i | ||||
\(897\) | −22.7800 | + | 12.4996i | −0.760602 | + | 0.417349i | ||||
\(898\) | 7.05963 | − | 24.0429i | 0.235583 | − | 0.802321i | ||||
\(899\) | 0.412423 | + | 0.265048i | 0.0137551 | + | 0.00883986i | ||||
\(900\) | 8.00491 | − | 27.6821i | 0.266830 | − | 0.922736i | ||||
\(901\) | 0.768965i | 0.0256179i | ||||||||
\(902\) | −18.2115 | − | 11.7038i | −0.606375 | − | 0.389694i | ||||
\(903\) | 19.3171 | − | 4.24371i | 0.642832 | − | 0.141222i | ||||
\(904\) | 17.0346 | + | 19.6590i | 0.566563 | + | 0.653849i | ||||
\(905\) | 26.4875 | + | 30.5682i | 0.880475 | + | 1.01612i | ||||
\(906\) | −34.7759 | + | 7.63983i | −1.15535 | + | 0.253816i | ||||
\(907\) | 38.0025 | + | 24.4227i | 1.26185 | + | 0.810944i | 0.988537 | − | 0.150980i | \(-0.0482431\pi\) |
0.273316 | + | 0.961924i | \(0.411879\pi\) | |||||||
\(908\) | 14.9267i | 0.495361i | ||||||||
\(909\) | 9.09555 | − | 31.4536i | 0.301680 | − | 1.04325i | ||||
\(910\) | 49.0061 | + | 31.4943i | 1.62454 | + | 1.04403i | ||||
\(911\) | 8.86825 | − | 30.2025i | 0.293818 | − | 1.00065i | −0.671810 | − | 0.740724i | \(-0.734483\pi\) |
0.965628 | − | 0.259929i | \(-0.0836991\pi\) | |||||||
\(912\) | −10.9995 | + | 6.03552i | −0.364230 | + | 0.199856i | ||||
\(913\) | 10.1591 | + | 15.8078i | 0.336216 | + | 0.523162i | ||||
\(914\) | 1.09408 | − | 7.60950i | 0.0361890 | − | 0.251700i | ||||
\(915\) | 58.2350 | + | 31.6438i | 1.92519 | + | 1.04611i | ||||
\(916\) | −7.19109 | − | 3.28406i | −0.237600 | − | 0.108508i | ||||
\(917\) | −30.3940 | − | 8.92450i | −1.00370 | − | 0.294713i | ||||
\(918\) | −2.76780 | + | 2.80210i | −0.0913511 | + | 0.0924830i | ||||
\(919\) | −8.39566 | + | 7.27488i | −0.276947 | + | 0.239976i | −0.782248 | − | 0.622967i | \(-0.785927\pi\) |
0.505301 | + | 0.862943i | \(0.331382\pi\) | |||||||
\(920\) | −30.1605 | + | 4.33642i | −0.994362 | + | 0.142968i | ||||
\(921\) | 9.66969 | − | 5.30584i | 0.318627 | − | 0.174833i | ||||
\(922\) | 4.13204 | + | 14.0724i | 0.136081 | + | 0.463450i | ||||
\(923\) | 37.9938 | + | 43.8472i | 1.25058 | + | 1.44325i | ||||
\(924\) | −6.68787 | − | 6.66047i | −0.220015 | − | 0.219113i | ||||
\(925\) | −107.589 | + | 69.1429i | −3.53749 | + | 2.27341i | ||||
\(926\) | −8.89988 | − | 13.8485i | −0.292468 | − | 0.455089i | ||||
\(927\) | 0.0519193 | + | 12.6481i | 0.00170525 | + | 0.415417i | ||||
\(928\) | −3.64494 | − | 1.66459i | −0.119651 | − | 0.0546427i | ||||
\(929\) | 16.8921 | − | 19.4946i | 0.554213 | − | 0.639596i | −0.407647 | − | 0.913140i | \(-0.633650\pi\) |
0.961859 | + | 0.273544i | \(0.0881959\pi\) | |||||||
\(930\) | −4.03829 | + | 0.297157i | −0.132421 | + | 0.00974415i | ||||
\(931\) | 6.63890 | − | 7.66170i | 0.217581 | − | 0.251102i | ||||
\(932\) | −4.26941 | − | 1.25361i | −0.139849 | − | 0.0410634i | ||||
\(933\) | 5.34306 | + | 3.98268i | 0.174924 | + | 0.130387i | ||||
\(934\) | 5.95960 | − | 0.856861i | 0.195004 | − | 0.0280373i | ||||
\(935\) | −7.79467 | + | 3.55971i | −0.254913 | + | 0.116415i | ||||
\(936\) | 47.1289 | − | 30.5620i | 1.54046 | − | 0.998951i | ||||
\(937\) | − | 28.7836i | − | 0.940318i | −0.882582 | − | 0.470159i | \(-0.844196\pi\) | ||
0.882582 | − | 0.470159i | \(-0.155804\pi\) | |||||||
\(938\) | 8.58111 | + | 17.1586i | 0.280183 | + | 0.560247i | ||||
\(939\) | −10.5309 | + | 7.91715i | −0.343664 | + | 0.258366i | ||||
\(940\) | 2.36313 | + | 2.04766i | 0.0770767 | + | 0.0667873i | ||||
\(941\) | −8.91748 | − | 19.5266i | −0.290702 | − | 0.636548i | 0.706783 | − | 0.707430i | \(-0.250146\pi\) |
−0.997485 | + | 0.0708827i | \(0.977418\pi\) | |||||||
\(942\) | 26.1751 | − | 26.2828i | 0.852830 | − | 0.856338i | ||||
\(943\) | 4.61290 | + | 15.7101i | 0.150217 | + | 0.511591i | ||||
\(944\) | −0.874917 | + | 2.97969i | −0.0284761 | + | 0.0969807i | ||||
\(945\) | 43.0457 | + | 15.7540i | 1.40028 | + | 0.512478i | ||||
\(946\) | −9.21381 | + | 14.3370i | −0.299567 | + | 0.466135i | ||||
\(947\) | 19.4921 | + | 16.8900i | 0.633407 | + | 0.548850i | 0.911290 | − | 0.411765i | \(-0.135087\pi\) |
−0.277883 | + | 0.960615i | \(0.589633\pi\) | |||||||
\(948\) | 0.261608 | + | 1.19082i | 0.00849665 | + | 0.0386761i | ||||
\(949\) | −5.59545 | − | 19.0563i | −0.181636 | − | 0.618595i | ||||
\(950\) | 46.3510 | − | 29.7880i | 1.50382 | − | 0.966450i | ||||
\(951\) | −1.04799 | + | 2.82749i | −0.0339835 | + | 0.0916875i | ||||
\(952\) | 0.664269 | + | 4.62009i | 0.0215291 | + | 0.149738i | ||||
\(953\) | 22.3487 | − | 19.3652i | 0.723945 | − | 0.627301i | −0.212889 | − | 0.977076i | \(-0.568287\pi\) |
0.936834 | + | 0.349775i | \(0.113742\pi\) | |||||||
\(954\) | 0.0145498 | + | 3.54447i | 0.000471066 | + | 0.114756i | ||||
\(955\) | −4.03035 | + | 28.0317i | −0.130419 | + | 0.907085i | ||||
\(956\) | −2.18432 | − | 15.1923i | −0.0706460 | − | 0.491354i | ||||
\(957\) | 4.67497 | + | 1.00693i | 0.151120 | + | 0.0325495i | ||||
\(958\) | 0.551305 | − | 0.251773i | 0.0178119 | − | 0.00813441i | ||||
\(959\) | −3.15891 | + | 10.7583i | −0.102007 | + | 0.347402i | ||||
\(960\) | 54.7453 | − | 12.0268i | 1.76690 | − | 0.388165i | ||||
\(961\) | 12.7597 | + | 27.9399i | 0.411603 | + | 0.901286i | ||||
\(962\) | −72.7012 | − | 10.4529i | −2.34398 | − | 0.337013i | ||||
\(963\) | −9.43655 | + | 2.81295i | −0.304089 | + | 0.0906460i | ||||
\(964\) | −0.649671 | + | 4.51856i | −0.0209245 | + | 0.145533i | ||||
\(965\) | −43.0649 | − | 12.6450i | −1.38631 | − | 0.407056i | ||||
\(966\) | −0.730383 | − | 9.92575i | −0.0234997 | − | 0.319356i | ||||
\(967\) | 11.9371 | 0.383871 | 0.191935 | − | 0.981408i | \(-0.438524\pi\) | ||||
0.191935 | + | 0.981408i | \(0.438524\pi\) | |||||||
\(968\) | −6.05306 | −0.194553 | ||||||||
\(969\) | 5.38715 | − | 0.396412i | 0.173060 | − | 0.0127346i | ||||
\(970\) | −4.22271 | − | 1.92845i | −0.135583 | − | 0.0619188i | ||||
\(971\) | −0.151593 | + | 0.131356i | −0.00486484 | + | 0.00421541i | −0.657290 | − | 0.753638i | \(-0.728297\pi\) |
0.652425 | + | 0.757853i | \(0.273752\pi\) | |||||||
\(972\) | 9.11312 | − | 9.30211i | 0.292304 | − | 0.298365i | ||||
\(973\) | −3.25389 | + | 7.12502i | −0.104315 | + | 0.228418i | ||||
\(974\) | 3.28299 | − | 5.10843i | 0.105194 | − | 0.163685i | ||||
\(975\) | −97.4084 | + | 73.2315i | −3.11957 | + | 2.34528i | ||||
\(976\) | 15.3689i | 0.491945i | ||||||||
\(977\) | 15.0833 | − | 23.4701i | 0.482557 | − | 0.750874i | −0.511552 | − | 0.859252i | \(-0.670929\pi\) |
0.994110 | + | 0.108378i | \(0.0345657\pi\) | |||||||
\(978\) | 8.93545 | + | 23.8075i | 0.285724 | + | 0.761280i | ||||
\(979\) | −52.6194 | − | 7.56552i | −1.68172 | − | 0.241795i | ||||
\(980\) | −6.51735 | + | 4.18845i | −0.208189 | + | 0.133795i | ||||
\(981\) | 16.2650 | − | 36.0058i | 0.519301 | − | 1.14958i | ||||
\(982\) | 25.4305 | − | 11.6137i | 0.811519 | − | 0.370608i | ||||
\(983\) | −10.8451 | + | 23.7474i | −0.345903 | + | 0.757423i | 0.654096 | + | 0.756412i | \(0.273049\pi\) |
−0.999999 | + | 0.00101140i | \(0.999678\pi\) | |||||||
\(984\) | −12.4373 | − | 33.1379i | −0.396488 | − | 1.05640i | ||||
\(985\) | 7.98156 | + | 17.4772i | 0.254314 | + | 0.556869i | ||||
\(986\) | −0.456275 | − | 0.526569i | −0.0145308 | − | 0.0167694i | ||||
\(987\) | −2.44615 | + | 2.45622i | −0.0778619 | + | 0.0781822i | ||||
\(988\) | −22.4663 | − | 3.23016i | −0.714747 | − | 0.102765i | ||||
\(989\) | 12.3678 | − | 3.63151i | 0.393272 | − | 0.115475i | ||||
\(990\) | −35.8614 | + | 16.5556i | −1.13975 | + | 0.526172i | ||||
\(991\) | 32.8278 | − | 4.71992i | 1.04281 | − | 0.149933i | 0.400435 | − | 0.916325i | \(-0.368859\pi\) |
0.642373 | + | 0.766392i | \(0.277950\pi\) | |||||||
\(992\) | 1.25693 | + | 1.95582i | 0.0399076 | + | 0.0620974i | ||||
\(993\) | −8.16137 | + | 22.0194i | −0.258993 | + | 0.698764i | ||||
\(994\) | −21.3224 | + | 6.26082i | −0.676305 | + | 0.198581i | ||||
\(995\) | −27.0639 | + | 59.2617i | −0.857983 | + | 1.87872i | ||||
\(996\) | −0.627224 | + | 9.03016i | −0.0198744 | + | 0.286132i | ||||
\(997\) | −9.88685 | − | 6.35389i | −0.313120 | − | 0.201230i | 0.374636 | − | 0.927172i | \(-0.377768\pi\) |
−0.687756 | + | 0.725942i | \(0.741404\pi\) | |||||||
\(998\) | −7.28558 | − | 6.31299i | −0.230621 | − | 0.199834i | ||||
\(999\) | −57.6208 | + | 4.47789i | −1.82304 | + | 0.141674i |
(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 | 201.2.j.a.5.15 | yes | 200 | |
3.2 | odd | 2 | inner | 201.2.j.a.5.6 | ✓ | 200 | |
67.27 | odd | 22 | inner | 201.2.j.a.161.6 | yes | 200 | |
201.161 | even | 22 | inner | 201.2.j.a.161.15 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.j.a.5.6 | ✓ | 200 | 3.2 | odd | 2 | inner | |
201.2.j.a.5.15 | yes | 200 | 1.1 | even | 1 | trivial | |
201.2.j.a.161.6 | yes | 200 | 67.27 | odd | 22 | inner | |
201.2.j.a.161.15 | yes | 200 | 201.161 | even | 22 | inner |