Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 107.9 | ||
Character | \(\chi\) | \(=\) | 462.107 |
Dual form | 462.2.bc.b.95.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | 0.257732 | − | 1.71277i | 0.148802 | − | 0.988867i | ||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −0.789465 | − | 1.77317i | −0.353059 | − | 0.792984i | −0.999548 | − | 0.0300608i | \(-0.990430\pi\) |
0.646489 | − | 0.762924i | \(-0.276237\pi\) | |||||||
\(6\) | −1.73033 | − | 0.0772875i | −0.706402 | − | 0.0315525i | ||||
\(7\) | −2.28945 | − | 1.32606i | −0.865330 | − | 0.501202i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −2.86715 | − | 0.882871i | −0.955716 | − | 0.294290i | ||||
\(10\) | −1.68093 | + | 0.970486i | −0.531557 | + | 0.306895i | ||||
\(11\) | −3.21976 | + | 0.795724i | −0.970793 | + | 0.239920i | ||||
\(12\) | 0.104004 | + | 1.72893i | 0.0300234 | + | 0.499098i | ||||
\(13\) | 3.98429 | + | 5.48391i | 1.10504 | + | 1.52096i | 0.828523 | + | 0.559955i | \(0.189181\pi\) |
0.276521 | + | 0.961008i | \(0.410819\pi\) | |||||||
\(14\) | −1.07948 | + | 2.41552i | −0.288503 | + | 0.645574i | ||||
\(15\) | −3.24049 | + | 0.895167i | −0.836692 | + | 0.231131i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 0.459224 | − | 4.36922i | 0.111378 | − | 1.05969i | −0.785939 | − | 0.618305i | \(-0.787820\pi\) |
0.897317 | − | 0.441387i | \(-0.145514\pi\) | |||||||
\(18\) | −0.578336 | + | 2.94373i | −0.136315 | + | 0.693843i | ||||
\(19\) | −0.0977002 | + | 0.459644i | −0.0224140 | + | 0.105449i | −0.987933 | − | 0.154885i | \(-0.950499\pi\) |
0.965519 | + | 0.260334i | \(0.0838327\pi\) | |||||||
\(20\) | 1.14088 | + | 1.57028i | 0.255107 | + | 0.351125i | ||||
\(21\) | −2.86129 | + | 3.57953i | −0.624385 | + | 0.781117i | ||||
\(22\) | 1.12792 | + | 3.11894i | 0.240473 | + | 0.664961i | ||||
\(23\) | 0.703593 | + | 0.406219i | 0.146709 | + | 0.0847026i | 0.571558 | − | 0.820562i | \(-0.306339\pi\) |
−0.424849 | + | 0.905264i | \(0.639673\pi\) | |||||||
\(24\) | 1.70858 | − | 0.284156i | 0.348763 | − | 0.0580032i | ||||
\(25\) | 0.824787 | − | 0.916019i | 0.164957 | − | 0.183204i | ||||
\(26\) | 5.03740 | − | 4.53569i | 0.987914 | − | 0.889522i | ||||
\(27\) | −2.25111 | + | 4.68321i | −0.433226 | + | 0.901285i | ||||
\(28\) | 2.51512 | + | 0.821074i | 0.475313 | + | 0.155168i | ||||
\(29\) | 0.927952 | − | 2.85594i | 0.172316 | − | 0.530335i | −0.827184 | − | 0.561931i | \(-0.810059\pi\) |
0.999501 | + | 0.0315953i | \(0.0100588\pi\) | |||||||
\(30\) | 1.22899 | + | 3.12917i | 0.224381 | + | 0.571306i | ||||
\(31\) | −7.66426 | − | 3.41235i | −1.37654 | − | 0.612876i | −0.420819 | − | 0.907145i | \(-0.638257\pi\) |
−0.955723 | + | 0.294269i | \(0.904924\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.533055 | + | 5.71978i | 0.0927929 | + | 0.995685i | ||||
\(34\) | −4.39329 | −0.753443 | ||||||||
\(35\) | −0.543877 | + | 5.10645i | −0.0919321 | + | 0.863147i | ||||
\(36\) | 2.98805 | + | 0.267465i | 0.498009 | + | 0.0445775i | ||||
\(37\) | −6.60480 | − | 7.33538i | −1.08582 | − | 1.20593i | −0.977306 | − | 0.211834i | \(-0.932056\pi\) |
−0.108517 | − | 0.994095i | \(-0.534610\pi\) | |||||||
\(38\) | 0.467338 | + | 0.0491192i | 0.0758122 | + | 0.00796819i | ||||
\(39\) | 10.4195 | − | 5.41079i | 1.66846 | − | 0.866420i | ||||
\(40\) | 1.44242 | − | 1.29876i | 0.228067 | − | 0.205353i | ||||
\(41\) | −1.04648 | − | 3.22072i | −0.163432 | − | 0.502993i | 0.835485 | − | 0.549513i | \(-0.185187\pi\) |
−0.998917 | + | 0.0465204i | \(0.985187\pi\) | |||||||
\(42\) | 3.85901 | + | 2.47145i | 0.595457 | + | 0.381353i | ||||
\(43\) | − | 3.53953i | − | 0.539773i | −0.962892 | − | 0.269886i | \(-0.913014\pi\) | ||
0.962892 | − | 0.269886i | \(-0.0869862\pi\) | |||||||
\(44\) | 2.98396 | − | 1.44776i | 0.449848 | − | 0.218258i | ||||
\(45\) | 0.698034 | + | 5.78093i | 0.104057 | + | 0.861770i | ||||
\(46\) | 0.330449 | − | 0.742200i | 0.0487220 | − | 0.109431i | ||||
\(47\) | −1.94130 | + | 9.13311i | −0.283168 | + | 1.33220i | 0.574714 | + | 0.818354i | \(0.305113\pi\) |
−0.857882 | + | 0.513846i | \(0.828220\pi\) | |||||||
\(48\) | −0.461195 | − | 1.66952i | −0.0665678 | − | 0.240975i | ||||
\(49\) | 3.48316 | + | 6.07187i | 0.497594 | + | 0.867410i | ||||
\(50\) | −0.997214 | − | 0.724519i | −0.141027 | − | 0.102462i | ||||
\(51\) | −7.36511 | − | 1.91263i | −1.03132 | − | 0.267822i | ||||
\(52\) | −5.03740 | − | 4.53569i | −0.698561 | − | 0.628987i | ||||
\(53\) | −1.70355 | + | 3.82624i | −0.234001 | + | 0.525575i | −0.991934 | − | 0.126758i | \(-0.959543\pi\) |
0.757933 | + | 0.652333i | \(0.226210\pi\) | |||||||
\(54\) | 4.89286 | + | 1.74925i | 0.665835 | + | 0.238043i | ||||
\(55\) | 3.95283 | + | 5.08097i | 0.533000 | + | 0.685118i | ||||
\(56\) | 0.553675 | − | 2.58717i | 0.0739879 | − | 0.345725i | ||||
\(57\) | 0.762082 | + | 0.285803i | 0.100940 | + | 0.0378555i | ||||
\(58\) | −2.93730 | − | 0.624341i | −0.385686 | − | 0.0819800i | ||||
\(59\) | 0.627177 | + | 2.95064i | 0.0816515 | + | 0.384140i | 0.999930 | − | 0.0117940i | \(-0.00375422\pi\) |
−0.918279 | + | 0.395934i | \(0.870421\pi\) | |||||||
\(60\) | 2.98357 | − | 1.54934i | 0.385177 | − | 0.200019i | ||||
\(61\) | −2.08111 | − | 4.67425i | −0.266459 | − | 0.598476i | 0.729917 | − | 0.683536i | \(-0.239559\pi\) |
−0.996376 | + | 0.0850593i | \(0.972892\pi\) | |||||||
\(62\) | −2.59252 | + | 7.97896i | −0.329251 | + | 1.01333i | ||||
\(63\) | 5.39345 | + | 5.82329i | 0.679511 | + | 0.733665i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 6.57843 | − | 11.3942i | 0.815953 | − | 1.41327i | ||||
\(66\) | 5.63272 | − | 1.12801i | 0.693340 | − | 0.138849i | ||||
\(67\) | −1.96138 | − | 3.39722i | −0.239621 | − | 0.415036i | 0.720984 | − | 0.692951i | \(-0.243690\pi\) |
−0.960606 | + | 0.277915i | \(0.910357\pi\) | |||||||
\(68\) | 0.459224 | + | 4.36922i | 0.0556891 | + | 0.529846i | ||||
\(69\) | 0.877098 | − | 1.10040i | 0.105590 | − | 0.132472i | ||||
\(70\) | 5.13533 | + | 0.00712871i | 0.613789 | + | 0.000852044i | ||||
\(71\) | 8.37299 | − | 11.5244i | 0.993691 | − | 1.36770i | 0.0645741 | − | 0.997913i | \(-0.479431\pi\) |
0.929117 | − | 0.369786i | \(-0.120569\pi\) | |||||||
\(72\) | −0.0463369 | − | 2.99964i | −0.00546085 | − | 0.353511i | ||||
\(73\) | −1.63635 | − | 7.69840i | −0.191520 | − | 0.901030i | −0.963982 | − | 0.265969i | \(-0.914308\pi\) |
0.772462 | − | 0.635061i | \(-0.219025\pi\) | |||||||
\(74\) | −6.60480 | + | 7.33538i | −0.767793 | + | 0.852720i | ||||
\(75\) | −1.35635 | − | 1.64876i | −0.156618 | − | 0.190382i | ||||
\(76\) | − | 0.469912i | − | 0.0539026i | ||||||
\(77\) | 8.42664 | + | 2.44780i | 0.960305 | + | 0.278953i | ||||
\(78\) | −6.47029 | − | 9.79688i | −0.732616 | − | 1.10928i | ||||
\(79\) | −7.45986 | + | 0.784063i | −0.839300 | + | 0.0882140i | −0.514417 | − | 0.857540i | \(-0.671992\pi\) |
−0.324883 | + | 0.945754i | \(0.605325\pi\) | |||||||
\(80\) | −1.44242 | − | 1.29876i | −0.161268 | − | 0.145206i | ||||
\(81\) | 7.44108 | + | 5.06265i | 0.826786 | + | 0.562516i | ||||
\(82\) | −3.09369 | + | 1.37740i | −0.341641 | + | 0.152109i | ||||
\(83\) | −4.29547 | − | 3.12084i | −0.471489 | − | 0.342557i | 0.326532 | − | 0.945186i | \(-0.394120\pi\) |
−0.798021 | + | 0.602629i | \(0.794120\pi\) | |||||||
\(84\) | 2.05454 | − | 4.09620i | 0.224168 | − | 0.446932i | ||||
\(85\) | −8.10990 | + | 2.63507i | −0.879642 | + | 0.285813i | ||||
\(86\) | −3.52014 | + | 0.369981i | −0.379586 | + | 0.0398961i | ||||
\(87\) | −4.65240 | − | 2.32544i | −0.498790 | − | 0.249313i | ||||
\(88\) | −1.75174 | − | 2.81628i | −0.186736 | − | 0.300216i | ||||
\(89\) | −11.9538 | − | 6.90154i | −1.26710 | − | 0.731561i | −0.292663 | − | 0.956216i | \(-0.594541\pi\) |
−0.974439 | + | 0.224654i | \(0.927875\pi\) | |||||||
\(90\) | 5.67629 | − | 1.29848i | 0.598334 | − | 0.136872i | ||||
\(91\) | −1.84987 | − | 17.8385i | −0.193919 | − | 1.86999i | ||||
\(92\) | −0.772675 | − | 0.251057i | −0.0805570 | − | 0.0261745i | ||||
\(93\) | −7.81989 | + | 12.2476i | −0.810885 | + | 1.27002i | ||||
\(94\) | 9.28600 | + | 0.975997i | 0.957777 | + | 0.100666i | ||||
\(95\) | 0.892156 | − | 0.189634i | 0.0915332 | − | 0.0194560i | ||||
\(96\) | −1.61217 | + | 0.633181i | −0.164541 | + | 0.0646238i | ||||
\(97\) | 1.56218 | − | 1.13499i | 0.158616 | − | 0.115241i | −0.505646 | − | 0.862741i | \(-0.668746\pi\) |
0.664262 | + | 0.747500i | \(0.268746\pi\) | |||||||
\(98\) | 5.67452 | − | 4.09876i | 0.573213 | − | 0.414037i | ||||
\(99\) | 9.93404 | + | 0.561173i | 0.998408 | + | 0.0564000i | ||||
\(100\) | −0.616312 | + | 1.06748i | −0.0616312 | + | 0.106748i | ||||
\(101\) | 12.5476 | + | 5.58653i | 1.24853 | + | 0.555881i | 0.921222 | − | 0.389037i | \(-0.127192\pi\) |
0.327307 | + | 0.944918i | \(0.393859\pi\) | |||||||
\(102\) | −1.13229 | + | 7.52468i | −0.112114 | + | 0.745055i | ||||
\(103\) | 1.37384 | + | 1.52581i | 0.135369 | + | 0.150342i | 0.807018 | − | 0.590527i | \(-0.201080\pi\) |
−0.671649 | + | 0.740870i | \(0.734414\pi\) | |||||||
\(104\) | −3.98429 | + | 5.48391i | −0.390692 | + | 0.537741i | ||||
\(105\) | 8.60599 | + | 2.24763i | 0.839858 | + | 0.219347i | ||||
\(106\) | 3.98335 | + | 1.29427i | 0.386897 | + | 0.125711i | ||||
\(107\) | −1.30137 | − | 0.276615i | −0.125808 | − | 0.0267414i | 0.144577 | − | 0.989494i | \(-0.453818\pi\) |
−0.270386 | + | 0.962752i | \(0.587151\pi\) | |||||||
\(108\) | 1.22822 | − | 5.04891i | 0.118186 | − | 0.485831i | ||||
\(109\) | 15.4198 | − | 8.90263i | 1.47695 | − | 0.852717i | 0.477288 | − | 0.878747i | \(-0.341620\pi\) |
0.999661 | + | 0.0260299i | \(0.00828652\pi\) | |||||||
\(110\) | 4.63995 | − | 4.46229i | 0.442402 | − | 0.425462i | ||||
\(111\) | −14.2661 | + | 9.42193i | −1.35408 | + | 0.894290i | ||||
\(112\) | −2.63087 | − | 0.280209i | −0.248594 | − | 0.0264772i | ||||
\(113\) | −0.887889 | + | 0.288493i | −0.0835256 | + | 0.0271391i | −0.350482 | − | 0.936570i | \(-0.613982\pi\) |
0.266956 | + | 0.963709i | \(0.413982\pi\) | |||||||
\(114\) | 0.204578 | − | 0.787782i | 0.0191605 | − | 0.0737825i | ||||
\(115\) | 0.164833 | − | 1.56828i | 0.0153708 | − | 0.146243i | ||||
\(116\) | −0.313890 | + | 2.98647i | −0.0291440 | + | 0.277286i | ||||
\(117\) | −6.58197 | − | 19.2408i | −0.608503 | − | 1.77881i | ||||
\(118\) | 2.86891 | − | 0.932167i | 0.264105 | − | 0.0858129i | ||||
\(119\) | −6.84520 | + | 9.39416i | −0.627498 | + | 0.861161i | ||||
\(120\) | −1.85272 | − | 2.80527i | −0.169130 | − | 0.256085i | ||||
\(121\) | 9.73365 | − | 5.12407i | 0.884877 | − | 0.465825i | ||||
\(122\) | −4.43111 | + | 2.55830i | −0.401174 | + | 0.231618i | ||||
\(123\) | −5.78607 | + | 0.962287i | −0.521712 | + | 0.0867665i | ||||
\(124\) | 8.20625 | + | 1.74429i | 0.736943 | + | 0.156642i | ||||
\(125\) | −11.5053 | − | 3.73829i | −1.02906 | − | 0.334363i | ||||
\(126\) | 5.22762 | − | 5.97261i | 0.465713 | − | 0.532082i | ||||
\(127\) | 1.20848 | − | 1.66333i | 0.107235 | − | 0.147596i | −0.752027 | − | 0.659133i | \(-0.770923\pi\) |
0.859262 | + | 0.511536i | \(0.170923\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −6.06239 | − | 0.912251i | −0.533764 | − | 0.0803192i | ||||
\(130\) | −12.0194 | − | 5.35137i | −1.05417 | − | 0.469347i | ||||
\(131\) | 3.07483 | − | 5.32575i | 0.268649 | − | 0.465313i | −0.699864 | − | 0.714276i | \(-0.746756\pi\) |
0.968513 | + | 0.248962i | \(0.0800896\pi\) | |||||||
\(132\) | −1.71061 | − | 5.48396i | −0.148890 | − | 0.477317i | ||||
\(133\) | 0.833192 | − | 0.922775i | 0.0722469 | − | 0.0800147i | ||||
\(134\) | −3.17359 | + | 2.30575i | −0.274156 | + | 0.199186i | ||||
\(135\) | 10.0813 | + | 0.294362i | 0.867660 | + | 0.0253346i | ||||
\(136\) | 4.29729 | − | 0.913416i | 0.368489 | − | 0.0783248i | ||||
\(137\) | 20.5401 | + | 2.15886i | 1.75486 | + | 0.184443i | 0.926638 | − | 0.375954i | \(-0.122685\pi\) |
0.828224 | + | 0.560397i | \(0.189352\pi\) | |||||||
\(138\) | −1.18605 | − | 0.757271i | −0.100963 | − | 0.0644632i | ||||
\(139\) | −3.63691 | − | 1.18170i | −0.308479 | − | 0.100231i | 0.150687 | − | 0.988582i | \(-0.451852\pi\) |
−0.459166 | + | 0.888351i | \(0.651852\pi\) | |||||||
\(140\) | −0.529698 | − | 5.10794i | −0.0447677 | − | 0.431700i | ||||
\(141\) | 15.1426 | + | 5.67890i | 1.27523 | + | 0.478249i | ||||
\(142\) | −12.3365 | − | 7.12249i | −1.03526 | − | 0.597706i | ||||
\(143\) | −17.1921 | − | 14.4864i | −1.43768 | − | 1.21142i | ||||
\(144\) | −2.97837 | + | 0.359631i | −0.248197 | + | 0.0299693i | ||||
\(145\) | −5.79665 | + | 0.609252i | −0.481385 | + | 0.0505957i | ||||
\(146\) | −7.48518 | + | 2.43208i | −0.619478 | + | 0.201281i | ||||
\(147\) | 11.2974 | − | 4.40092i | 0.931796 | − | 0.362982i | ||||
\(148\) | 7.98558 | + | 5.80186i | 0.656411 | + | 0.476910i | ||||
\(149\) | 17.7605 | − | 7.90749i | 1.45500 | − | 0.647807i | 0.481489 | − | 0.876452i | \(-0.340096\pi\) |
0.973510 | + | 0.228645i | \(0.0734296\pi\) | |||||||
\(150\) | −1.49795 | + | 1.52126i | −0.122307 | + | 0.124211i | ||||
\(151\) | 1.55025 | + | 1.39585i | 0.126157 | + | 0.113593i | 0.729795 | − | 0.683667i | \(-0.239616\pi\) |
−0.603637 | + | 0.797259i | \(0.706282\pi\) | |||||||
\(152\) | −0.467338 | + | 0.0491192i | −0.0379061 | + | 0.00398409i | ||||
\(153\) | −5.17412 | + | 12.1218i | −0.418303 | + | 0.979987i | ||||
\(154\) | 1.55357 | − | 8.63634i | 0.125190 | − | 0.695936i | ||||
\(155\) | 16.2839i | 1.30796i | ||||||||
\(156\) | −9.06689 | + | 7.45889i | −0.725932 | + | 0.597190i | ||||
\(157\) | −0.121883 | + | 0.135364i | −0.00972730 | + | 0.0108033i | −0.747989 | − | 0.663711i | \(-0.768980\pi\) |
0.738262 | + | 0.674515i | \(0.235647\pi\) | |||||||
\(158\) | 1.55954 | + | 7.33704i | 0.124070 | + | 0.583703i | ||||
\(159\) | 6.11441 | + | 3.90394i | 0.484904 | + | 0.309602i | ||||
\(160\) | −1.14088 | + | 1.57028i | −0.0901941 | + | 0.124142i | ||||
\(161\) | −1.07217 | − | 1.86302i | −0.0844989 | − | 0.146827i | ||||
\(162\) | 4.25711 | − | 7.92950i | 0.334470 | − | 0.623001i | ||||
\(163\) | −2.21545 | − | 21.0786i | −0.173527 | − | 1.65100i | −0.641401 | − | 0.767206i | \(-0.721646\pi\) |
0.467874 | − | 0.883795i | \(-0.345020\pi\) | |||||||
\(164\) | 1.69324 | + | 2.93277i | 0.132219 | + | 0.229011i | ||||
\(165\) | 9.72129 | − | 5.46076i | 0.756802 | − | 0.425119i | ||||
\(166\) | −2.65475 | + | 4.59816i | −0.206048 | + | 0.356886i | ||||
\(167\) | 3.26292 | − | 2.37065i | 0.252492 | − | 0.183446i | −0.454338 | − | 0.890829i | \(-0.650124\pi\) |
0.706831 | + | 0.707383i | \(0.250124\pi\) | |||||||
\(168\) | −4.28852 | − | 1.61511i | −0.330867 | − | 0.124609i | ||||
\(169\) | −10.1814 | + | 31.3353i | −0.783188 | + | 2.41040i | ||||
\(170\) | 3.46835 | + | 7.79003i | 0.266010 | + | 0.597468i | ||||
\(171\) | 0.685927 | − | 1.23161i | 0.0524542 | − | 0.0941835i | ||||
\(172\) | 0.735909 | + | 3.46218i | 0.0561126 | + | 0.263989i | ||||
\(173\) | 21.3520 | + | 4.53851i | 1.62336 | + | 0.345056i | 0.927704 | − | 0.373316i | \(-0.121779\pi\) |
0.695658 | + | 0.718373i | \(0.255113\pi\) | |||||||
\(174\) | −1.82639 | + | 4.86999i | −0.138458 | + | 0.369193i | ||||
\(175\) | −3.10300 | + | 1.00347i | −0.234565 | + | 0.0758549i | ||||
\(176\) | −2.61774 | + | 2.03652i | −0.197320 | + | 0.153509i | ||||
\(177\) | 5.21540 | − | 0.313734i | 0.392013 | − | 0.0235817i | ||||
\(178\) | −5.61422 | + | 12.6097i | −0.420803 | + | 0.945140i | ||||
\(179\) | 2.15491 | + | 1.94029i | 0.161066 | + | 0.145024i | 0.745723 | − | 0.666256i | \(-0.232104\pi\) |
−0.584657 | + | 0.811280i | \(0.698771\pi\) | |||||||
\(180\) | −1.88470 | − | 5.50947i | −0.140477 | − | 0.410652i | ||||
\(181\) | 10.1349 | + | 7.36341i | 0.753319 | + | 0.547318i | 0.896854 | − | 0.442327i | \(-0.145847\pi\) |
−0.143535 | + | 0.989645i | \(0.545847\pi\) | |||||||
\(182\) | −17.5474 | + | 3.70437i | −1.30070 | + | 0.274586i | ||||
\(183\) | −8.54228 | + | 2.35975i | −0.631463 | + | 0.174438i | ||||
\(184\) | −0.168916 | + | 0.794685i | −0.0124526 | + | 0.0585850i | ||||
\(185\) | −7.79259 | + | 17.5024i | −0.572922 | + | 1.28680i | ||||
\(186\) | 12.9979 | + | 6.49683i | 0.953055 | + | 0.476370i | ||||
\(187\) | 1.99810 | + | 14.4332i | 0.146116 | + | 1.05546i | ||||
\(188\) | − | 9.33715i | − | 0.680981i | ||||||
\(189\) | 11.3640 | − | 7.73689i | 0.826610 | − | 0.562776i | ||||
\(190\) | −0.281850 | − | 0.867446i | −0.0204476 | − | 0.0629312i | ||||
\(191\) | −5.66614 | + | 5.10182i | −0.409988 | + | 0.369154i | −0.848163 | − | 0.529735i | \(-0.822291\pi\) |
0.438176 | + | 0.898889i | \(0.355625\pi\) | |||||||
\(192\) | 0.798230 | + | 1.53715i | 0.0576073 | + | 0.110934i | ||||
\(193\) | −15.2899 | − | 1.60703i | −1.10059 | − | 0.115677i | −0.463227 | − | 0.886240i | \(-0.653308\pi\) |
−0.637364 | + | 0.770563i | \(0.719975\pi\) | |||||||
\(194\) | −1.29207 | − | 1.43499i | −0.0927650 | − | 0.103026i | ||||
\(195\) | −17.8201 | − | 14.2040i | −1.27612 | − | 1.01717i | ||||
\(196\) | −4.66945 | − | 5.21500i | −0.333532 | − | 0.372500i | ||||
\(197\) | 3.24755 | 0.231378 | 0.115689 | − | 0.993285i | \(-0.463092\pi\) | ||||
0.115689 | + | 0.993285i | \(0.463092\pi\) | |||||||
\(198\) | −0.480291 | − | 9.93828i | −0.0341328 | − | 0.706282i | ||||
\(199\) | 8.48092 | + | 14.6894i | 0.601197 | + | 1.04130i | 0.992640 | + | 0.121101i | \(0.0386425\pi\) |
−0.391443 | + | 0.920202i | \(0.628024\pi\) | |||||||
\(200\) | 1.12606 | + | 0.501354i | 0.0796244 | + | 0.0354511i | ||||
\(201\) | −6.32416 | + | 2.48382i | −0.446072 | + | 0.175195i | ||||
\(202\) | 4.24435 | − | 13.0628i | 0.298632 | − | 0.919093i | ||||
\(203\) | −5.91164 | + | 5.30802i | −0.414916 | + | 0.372550i | ||||
\(204\) | 7.60182 | + | 0.339546i | 0.532234 | + | 0.0237730i | ||||
\(205\) | −4.88473 | + | 4.39823i | −0.341164 | + | 0.307185i | ||||
\(206\) | 1.37384 | − | 1.52581i | 0.0957202 | − | 0.106308i | ||||
\(207\) | −1.65866 | − | 1.78587i | −0.115285 | − | 0.124127i | ||||
\(208\) | 5.87034 | + | 3.38924i | 0.407035 | + | 0.235002i | ||||
\(209\) | −0.0511783 | − | 1.55768i | −0.00354008 | − | 0.107747i | ||||
\(210\) | 1.33575 | − | 8.79378i | 0.0921755 | − | 0.606829i | ||||
\(211\) | −3.75889 | − | 5.17366i | −0.258772 | − | 0.356170i | 0.659787 | − | 0.751453i | \(-0.270647\pi\) |
−0.918559 | + | 0.395283i | \(0.870647\pi\) | |||||||
\(212\) | 0.870806 | − | 4.09682i | 0.0598072 | − | 0.281371i | ||||
\(213\) | −17.5807 | − | 17.3112i | −1.20461 | − | 1.18614i | ||||
\(214\) | −0.139070 | + | 1.32316i | −0.00950660 | + | 0.0904492i | ||||
\(215\) | −6.27617 | + | 2.79433i | −0.428032 | + | 0.190572i | ||||
\(216\) | −5.14963 | − | 0.693741i | −0.350388 | − | 0.0472031i | ||||
\(217\) | 13.0220 | + | 17.9756i | 0.883989 | + | 1.22027i | ||||
\(218\) | −10.4657 | − | 14.4048i | −0.708824 | − | 0.975613i | ||||
\(219\) | −13.6073 | + | 0.818553i | −0.919497 | + | 0.0553127i | ||||
\(220\) | −4.92285 | − | 4.14810i | −0.331898 | − | 0.279665i | ||||
\(221\) | 25.7901 | − | 14.8899i | 1.73483 | − | 1.00160i | ||||
\(222\) | 10.8615 | + | 13.2031i | 0.728978 | + | 0.886131i | ||||
\(223\) | 4.31263 | + | 13.2729i | 0.288795 | + | 0.888819i | 0.985235 | + | 0.171205i | \(0.0547659\pi\) |
−0.696441 | + | 0.717614i | \(0.745234\pi\) | |||||||
\(224\) | −0.00367275 | + | 2.64575i | −0.000245396 | + | 0.176777i | ||||
\(225\) | −3.17351 | + | 1.89818i | −0.211568 | + | 0.126545i | ||||
\(226\) | 0.379722 | + | 0.852870i | 0.0252587 | + | 0.0567321i | ||||
\(227\) | −9.83488 | + | 2.09047i | −0.652764 | + | 0.138749i | −0.522378 | − | 0.852714i | \(-0.674955\pi\) |
−0.130386 | + | 0.991463i | \(0.541622\pi\) | |||||||
\(228\) | −0.804851 | − | 0.121112i | −0.0533025 | − | 0.00802081i | ||||
\(229\) | 1.89492 | + | 18.0289i | 0.125220 | + | 1.19139i | 0.858992 | + | 0.511990i | \(0.171091\pi\) |
−0.733772 | + | 0.679396i | \(0.762242\pi\) | |||||||
\(230\) | −1.57692 | −0.103979 | ||||||||
\(231\) | 6.36434 | − | 13.8020i | 0.418743 | − | 0.908105i | ||||
\(232\) | 3.00292 | 0.197151 | ||||||||
\(233\) | −0.194435 | − | 1.84993i | −0.0127379 | − | 0.121193i | 0.986305 | − | 0.164931i | \(-0.0527401\pi\) |
−0.999043 | + | 0.0437378i | \(0.986073\pi\) | |||||||
\(234\) | −18.4474 | + | 8.55713i | −1.20594 | + | 0.559397i | ||||
\(235\) | 17.7271 | − | 3.76801i | 1.15639 | − | 0.245798i | ||||
\(236\) | −1.22694 | − | 2.75576i | −0.0798672 | − | 0.179385i | ||||
\(237\) | −0.579729 | + | 12.9791i | −0.0376575 | + | 0.843082i | ||||
\(238\) | 10.0582 | + | 5.82574i | 0.651977 | + | 0.377627i | ||||
\(239\) | −0.620309 | − | 1.90911i | −0.0401245 | − | 0.123490i | 0.928988 | − | 0.370110i | \(-0.120680\pi\) |
−0.969112 | + | 0.246620i | \(0.920680\pi\) | |||||||
\(240\) | −2.59624 | + | 2.13580i | −0.167587 | + | 0.137866i | ||||
\(241\) | −10.2866 | + | 5.93894i | −0.662615 | + | 0.382561i | −0.793273 | − | 0.608867i | \(-0.791625\pi\) |
0.130658 | + | 0.991428i | \(0.458291\pi\) | |||||||
\(242\) | −6.11344 | − | 9.14471i | −0.392987 | − | 0.587845i | ||||
\(243\) | 10.5889 | − | 11.4400i | 0.679281 | − | 0.733878i | ||||
\(244\) | 3.00746 | + | 4.13942i | 0.192533 | + | 0.264999i | ||||
\(245\) | 8.01661 | − | 10.9697i | 0.512163 | − | 0.700831i | ||||
\(246\) | 1.56182 | + | 5.65378i | 0.0995783 | + | 0.360472i | ||||
\(247\) | −2.90991 | + | 1.29558i | −0.185153 | + | 0.0824355i | ||||
\(248\) | 0.876950 | − | 8.34362i | 0.0556864 | − | 0.529820i | ||||
\(249\) | −6.45236 | + | 6.55281i | −0.408902 | + | 0.415267i | ||||
\(250\) | −2.51518 | + | 11.8330i | −0.159074 | + | 0.748385i | ||||
\(251\) | −6.84548 | − | 9.42200i | −0.432083 | − | 0.594711i | 0.536347 | − | 0.843998i | \(-0.319804\pi\) |
−0.968430 | + | 0.249286i | \(0.919804\pi\) | |||||||
\(252\) | −6.48632 | − | 4.57467i | −0.408600 | − | 0.288177i | ||||
\(253\) | −2.58863 | − | 0.748062i | −0.162746 | − | 0.0470302i | ||||
\(254\) | −1.78053 | − | 1.02799i | −0.111721 | − | 0.0645020i | ||||
\(255\) | 2.42307 | + | 14.5695i | 0.151739 | + | 0.912379i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −18.0708 | + | 16.2710i | −1.12722 | + | 1.01496i | −0.127490 | + | 0.991840i | \(0.540692\pi\) |
−0.999733 | + | 0.0231165i | \(0.992641\pi\) | |||||||
\(258\) | −0.273561 | + | 6.12454i | −0.0170312 | + | 0.381297i | ||||
\(259\) | 5.39425 | + | 25.5523i | 0.335182 | + | 1.58774i | ||||
\(260\) | −4.06569 | + | 12.5129i | −0.252143 | + | 0.776018i | ||||
\(261\) | −5.18201 | + | 7.36915i | −0.320758 | + | 0.456139i | ||||
\(262\) | −5.61799 | − | 2.50129i | −0.347080 | − | 0.154530i | ||||
\(263\) | −15.2281 | − | 26.3759i | −0.939005 | − | 1.62640i | −0.767331 | − | 0.641251i | \(-0.778416\pi\) |
−0.171674 | − | 0.985154i | \(-0.554918\pi\) | |||||||
\(264\) | −5.27511 | + | 2.27447i | −0.324660 | + | 0.139984i | ||||
\(265\) | 8.12946 | 0.499389 | ||||||||
\(266\) | −1.00481 | − | 0.732172i | −0.0616090 | − | 0.0448923i | ||||
\(267\) | −14.9016 | + | 18.6954i | −0.911964 | + | 1.14414i | ||||
\(268\) | 2.62484 | + | 2.91519i | 0.160338 | + | 0.178073i | ||||
\(269\) | −8.66585 | − | 0.910817i | −0.528366 | − | 0.0555335i | −0.163410 | − | 0.986558i | \(-0.552249\pi\) |
−0.364956 | + | 0.931025i | \(0.618916\pi\) | |||||||
\(270\) | −0.761033 | − | 10.0568i | −0.0463150 | − | 0.612040i | ||||
\(271\) | 14.6677 | − | 13.2068i | 0.890998 | − | 0.802259i | −0.0900669 | − | 0.995936i | \(-0.528708\pi\) |
0.981065 | + | 0.193677i | \(0.0620414\pi\) | |||||||
\(272\) | −1.35760 | − | 4.17827i | −0.0823166 | − | 0.253345i | ||||
\(273\) | −31.0300 | − | 1.42916i | −1.87802 | − | 0.0864969i | ||||
\(274\) | − | 20.6533i | − | 1.24771i | ||||||
\(275\) | −1.92671 | + | 3.60566i | −0.116185 | + | 0.217429i | ||||
\(276\) | −0.629146 | + | 1.25871i | −0.0378702 | + | 0.0757653i | ||||
\(277\) | −3.65486 | + | 8.20895i | −0.219599 | + | 0.493228i | −0.989428 | − | 0.145022i | \(-0.953675\pi\) |
0.769829 | + | 0.638250i | \(0.220341\pi\) | |||||||
\(278\) | −0.795070 | + | 3.74051i | −0.0476851 | + | 0.224341i | ||||
\(279\) | 18.9619 | + | 16.5503i | 1.13522 | + | 0.990839i | ||||
\(280\) | −5.02459 | + | 1.06072i | −0.300277 | + | 0.0633902i | ||||
\(281\) | −0.288036 | − | 0.209270i | −0.0171828 | − | 0.0124840i | 0.579161 | − | 0.815213i | \(-0.303380\pi\) |
−0.596343 | + | 0.802729i | \(0.703380\pi\) | |||||||
\(282\) | 4.06496 | − | 15.6532i | 0.242065 | − | 0.932135i | ||||
\(283\) | 10.4870 | + | 9.44252i | 0.623386 | + | 0.561299i | 0.919123 | − | 0.393970i | \(-0.128899\pi\) |
−0.295737 | + | 0.955269i | \(0.595565\pi\) | |||||||
\(284\) | −5.79396 | + | 13.0134i | −0.343808 | + | 0.772206i | ||||
\(285\) | −0.0948609 | − | 1.57693i | −0.00561907 | − | 0.0934093i | ||||
\(286\) | −12.6100 | + | 18.6122i | −0.745646 | + | 1.10056i | ||||
\(287\) | −1.87500 | + | 8.76137i | −0.110678 | + | 0.517167i | ||||
\(288\) | 0.668985 | + | 2.92446i | 0.0394203 | + | 0.172325i | ||||
\(289\) | −2.25071 | − | 0.478402i | −0.132394 | − | 0.0281413i | ||||
\(290\) | 1.21183 | + | 5.70121i | 0.0711611 | + | 0.334787i | ||||
\(291\) | −1.54135 | − | 2.96818i | −0.0903557 | − | 0.173998i | ||||
\(292\) | 3.20117 | + | 7.18996i | 0.187335 | + | 0.420760i | ||||
\(293\) | 1.18310 | − | 3.64120i | 0.0691173 | − | 0.212721i | −0.910532 | − | 0.413439i | \(-0.864327\pi\) |
0.979649 | + | 0.200718i | \(0.0643274\pi\) | |||||||
\(294\) | −5.55771 | − | 10.7755i | −0.324132 | − | 0.628441i | ||||
\(295\) | 4.73684 | − | 3.44151i | 0.275789 | − | 0.200373i | ||||
\(296\) | 4.93536 | − | 8.54830i | 0.286862 | − | 0.496860i | ||||
\(297\) | 3.52148 | − | 16.8701i | 0.204337 | − | 0.978901i | ||||
\(298\) | −9.72065 | − | 16.8367i | −0.563102 | − | 0.975322i | ||||
\(299\) | 0.575649 | + | 5.47693i | 0.0332906 | + | 0.316739i | ||||
\(300\) | 1.66951 | + | 1.33073i | 0.0963892 | + | 0.0768295i | ||||
\(301\) | −4.69361 | + | 8.10357i | −0.270535 | + | 0.467082i | ||||
\(302\) | 1.22616 | − | 1.68766i | 0.0705575 | − | 0.0971141i | ||||
\(303\) | 12.8023 | − | 20.0512i | 0.735476 | − | 1.15191i | ||||
\(304\) | 0.0977002 | + | 0.459644i | 0.00560349 | + | 0.0263624i | ||||
\(305\) | −6.64526 | + | 7.38031i | −0.380507 | + | 0.422595i | ||||
\(306\) | 12.5962 | + | 3.87871i | 0.720077 | + | 0.221731i | ||||
\(307\) | − | 17.3563i | − | 0.990578i | −0.868728 | − | 0.495289i | \(-0.835062\pi\) | ||
0.868728 | − | 0.495289i | \(-0.164938\pi\) | |||||||
\(308\) | −8.75142 | − | 0.642317i | −0.498659 | − | 0.0365994i | ||||
\(309\) | 2.96744 | − | 1.95982i | 0.168812 | − | 0.111490i | ||||
\(310\) | 16.1947 | − | 1.70214i | 0.919799 | − | 0.0966748i | ||||
\(311\) | 18.5201 | + | 16.6756i | 1.05018 | + | 0.945587i | 0.998590 | − | 0.0530818i | \(-0.0169044\pi\) |
0.0515901 | + | 0.998668i | \(0.483571\pi\) | |||||||
\(312\) | 8.36578 | + | 8.23755i | 0.473619 | + | 0.466359i | ||||
\(313\) | −24.8209 | + | 11.0510i | −1.40296 | + | 0.624639i | −0.962041 | − | 0.272907i | \(-0.912015\pi\) |
−0.440922 | + | 0.897546i | \(0.645348\pi\) | |||||||
\(314\) | 0.147363 | + | 0.107066i | 0.00831618 | + | 0.00604206i | ||||
\(315\) | 6.06772 | − | 14.1608i | 0.341877 | − | 0.797869i | ||||
\(316\) | 7.13383 | − | 2.31792i | 0.401309 | − | 0.130393i | ||||
\(317\) | −0.275689 | + | 0.0289761i | −0.0154842 | + | 0.00162746i | −0.112267 | − | 0.993678i | \(-0.535811\pi\) |
0.0967832 | + | 0.995305i | \(0.469145\pi\) | |||||||
\(318\) | 3.24342 | − | 6.48898i | 0.181882 | − | 0.363884i | ||||
\(319\) | −0.715238 | + | 9.93383i | −0.0400456 | + | 0.556188i | ||||
\(320\) | 1.68093 | + | 0.970486i | 0.0939669 | + | 0.0542518i | ||||
\(321\) | −0.809184 | + | 2.15766i | −0.0451642 | + | 0.120429i | ||||
\(322\) | −1.74074 | + | 1.26104i | −0.0970078 | + | 0.0702748i | ||||
\(323\) | 1.96342 | + | 0.637953i | 0.109248 | + | 0.0354967i | ||||
\(324\) | −8.33105 | − | 3.40493i | −0.462836 | − | 0.189163i | ||||
\(325\) | 8.30956 | + | 0.873369i | 0.460931 | + | 0.0484458i | ||||
\(326\) | −20.7315 | + | 4.40662i | −1.14821 | + | 0.244060i | ||||
\(327\) | −11.2740 | − | 28.7050i | −0.623451 | − | 1.58739i | ||||
\(328\) | 2.73971 | − | 1.99052i | 0.151275 | − | 0.109908i | ||||
\(329\) | 16.5555 | − | 18.3355i | 0.912735 | − | 1.01087i | ||||
\(330\) | −6.44699 | − | 9.09723i | −0.354895 | − | 0.500786i | ||||
\(331\) | 8.15966 | − | 14.1329i | 0.448495 | − | 0.776817i | −0.549793 | − | 0.835301i | \(-0.685293\pi\) |
0.998288 | + | 0.0584841i | \(0.0186267\pi\) | |||||||
\(332\) | 4.85047 | + | 2.15957i | 0.266204 | + | 0.118522i | ||||
\(333\) | 12.4608 | + | 26.8628i | 0.682845 | + | 1.47207i | ||||
\(334\) | −2.69873 | − | 2.99724i | −0.147668 | − | 0.164002i | ||||
\(335\) | −4.47539 | + | 6.15985i | −0.244517 | + | 0.336548i | ||||
\(336\) | −1.15799 | + | 4.43385i | −0.0631737 | + | 0.241887i | ||||
\(337\) | −22.8595 | − | 7.42750i | −1.24524 | − | 0.404602i | −0.389025 | − | 0.921227i | \(-0.627188\pi\) |
−0.856211 | + | 0.516626i | \(0.827188\pi\) | |||||||
\(338\) | 32.2279 | + | 6.85024i | 1.75296 | + | 0.372604i | ||||
\(339\) | 0.265283 | + | 1.59510i | 0.0144082 | + | 0.0866341i | ||||
\(340\) | 7.38482 | − | 4.26363i | 0.400498 | − | 0.231228i | ||||
\(341\) | 27.3923 | + | 4.88830i | 1.48338 | + | 0.264716i | ||||
\(342\) | −1.29656 | − | 0.553431i | −0.0701100 | − | 0.0299261i | ||||
\(343\) | 0.0771276 | − | 18.5201i | 0.00416450 | − | 0.999991i | ||||
\(344\) | 3.36629 | − | 1.09377i | 0.181498 | − | 0.0589724i | ||||
\(345\) | −2.64362 | − | 0.686518i | −0.142328 | − | 0.0369609i | ||||
\(346\) | 2.28175 | − | 21.7094i | 0.122668 | − | 1.16711i | ||||
\(347\) | 0.799262 | − | 7.60447i | 0.0429066 | − | 0.408229i | −0.951897 | − | 0.306418i | \(-0.900869\pi\) |
0.994804 | − | 0.101811i | \(-0.0324639\pi\) | |||||||
\(348\) | 5.03422 | + | 1.30733i | 0.269863 | + | 0.0700802i | ||||
\(349\) | 28.8452 | − | 9.37239i | 1.54405 | − | 0.501692i | 0.591560 | − | 0.806261i | \(-0.298512\pi\) |
0.952490 | + | 0.304569i | \(0.0985123\pi\) | |||||||
\(350\) | 1.32232 | + | 2.98111i | 0.0706810 | + | 0.159347i | ||||
\(351\) | −34.6514 | + | 6.31441i | −1.84956 | + | 0.337038i | ||||
\(352\) | 2.29899 | + | 2.39053i | 0.122537 | + | 0.127416i | ||||
\(353\) | −7.54247 | + | 4.35465i | −0.401445 | + | 0.231774i | −0.687107 | − | 0.726556i | \(-0.741120\pi\) |
0.285662 | + | 0.958330i | \(0.407786\pi\) | |||||||
\(354\) | −0.857173 | − | 5.15403i | −0.0455582 | − | 0.273934i | ||||
\(355\) | −27.0449 | − | 5.74858i | −1.43540 | − | 0.305103i | ||||
\(356\) | 13.1275 | + | 4.26538i | 0.695756 | + | 0.226065i | ||||
\(357\) | 14.3258 | + | 14.1454i | 0.758201 | + | 0.748655i | ||||
\(358\) | 1.70441 | − | 2.34592i | 0.0900809 | − | 0.123986i | ||||
\(359\) | −2.85484 | − | 3.17062i | −0.150673 | − | 0.167339i | 0.663083 | − | 0.748546i | \(-0.269247\pi\) |
−0.813756 | + | 0.581207i | \(0.802581\pi\) | |||||||
\(360\) | −5.28228 | + | 2.45027i | −0.278401 | + | 0.129141i | ||||
\(361\) | 17.1556 | + | 7.63818i | 0.902928 | + | 0.402010i | ||||
\(362\) | 6.26369 | − | 10.8490i | 0.329212 | − | 0.570213i | ||||
\(363\) | −6.26767 | − | 17.9921i | −0.328967 | − | 0.944341i | ||||
\(364\) | 5.51828 | + | 17.0641i | 0.289237 | + | 0.894402i | ||||
\(365\) | −12.3587 | + | 8.97913i | −0.646884 | + | 0.469989i | ||||
\(366\) | 3.23974 | + | 8.24882i | 0.169344 | + | 0.431173i | ||||
\(367\) | −23.0390 | + | 4.89710i | −1.20263 | + | 0.255626i | −0.765299 | − | 0.643675i | \(-0.777409\pi\) |
−0.437329 | + | 0.899302i | \(0.644075\pi\) | |||||||
\(368\) | 0.807988 | + | 0.0849230i | 0.0421193 | + | 0.00442692i | ||||
\(369\) | 0.156918 | + | 10.1582i | 0.00816885 | + | 0.528815i | ||||
\(370\) | 18.2211 | + | 5.92040i | 0.947270 | + | 0.307787i | ||||
\(371\) | 8.97401 | − | 6.50098i | 0.465907 | − | 0.337514i | ||||
\(372\) | 5.10258 | − | 13.6058i | 0.264557 | − | 0.705430i | ||||
\(373\) | 32.4706 | + | 18.7469i | 1.68127 | + | 0.970679i | 0.960822 | + | 0.277165i | \(0.0893949\pi\) |
0.720443 | + | 0.693514i | \(0.243938\pi\) | |||||||
\(374\) | 14.1453 | − | 3.49584i | 0.731437 | − | 0.180766i | ||||
\(375\) | −9.36810 | + | 18.7424i | −0.483767 | + | 0.967852i | ||||
\(376\) | −9.28600 | + | 0.975997i | −0.478889 | + | 0.0503332i | ||||
\(377\) | 19.3590 | − | 6.29011i | 0.997037 | − | 0.323957i | ||||
\(378\) | −8.88236 | − | 10.4930i | −0.456860 | − | 0.539703i | ||||
\(379\) | 11.0824 | + | 8.05180i | 0.569262 | + | 0.413593i | 0.834837 | − | 0.550497i | \(-0.185562\pi\) |
−0.265575 | + | 0.964090i | \(0.585562\pi\) | |||||||
\(380\) | −0.833233 | + | 0.370979i | −0.0427439 | + | 0.0190308i | ||||
\(381\) | −2.53743 | − | 2.49853i | −0.129996 | − | 0.128004i | ||||
\(382\) | 5.66614 | + | 5.10182i | 0.289905 | + | 0.261032i | ||||
\(383\) | −24.3664 | + | 2.56101i | −1.24507 | + | 0.130862i | −0.704050 | − | 0.710151i | \(-0.748627\pi\) |
−0.541016 | + | 0.841012i | \(0.681960\pi\) | |||||||
\(384\) | 1.44529 | − | 0.954533i | 0.0737547 | − | 0.0487108i | ||||
\(385\) | −2.31217 | − | 16.8743i | −0.117839 | − | 0.859994i | ||||
\(386\) | 15.3741i | 0.782521i | ||||||||
\(387\) | −3.12495 | + | 10.1484i | −0.158850 | + | 0.515870i | ||||
\(388\) | −1.29207 | + | 1.43499i | −0.0655947 | + | 0.0728503i | ||||
\(389\) | −3.93745 | − | 18.5242i | −0.199636 | − | 0.939215i | −0.957863 | − | 0.287225i | \(-0.907267\pi\) |
0.758227 | − | 0.651991i | \(-0.226066\pi\) | |||||||
\(390\) | −12.2634 | + | 19.2072i | −0.620984 | + | 0.972594i | ||||
\(391\) | 2.09797 | − | 2.88761i | 0.106099 | − | 0.146033i | ||||
\(392\) | −4.69834 | + | 5.18899i | −0.237302 | + | 0.262084i | ||||
\(393\) | −8.32930 | − | 6.63908i | −0.420158 | − | 0.334897i | ||||
\(394\) | −0.339461 | − | 3.22976i | −0.0171018 | − | 0.162713i | ||||
\(395\) | 7.27957 | + | 12.6086i | 0.366275 | + | 0.634407i | ||||
\(396\) | −9.83363 | + | 1.51649i | −0.494158 | + | 0.0762066i | ||||
\(397\) | −4.75617 | + | 8.23792i | −0.238705 | + | 0.413449i | −0.960343 | − | 0.278821i | \(-0.910056\pi\) |
0.721638 | + | 0.692271i | \(0.243390\pi\) | |||||||
\(398\) | 13.7224 | − | 9.96992i | 0.687843 | − | 0.499747i | ||||
\(399\) | −1.36576 | − | 1.66489i | −0.0683734 | − | 0.0833490i | ||||
\(400\) | 0.380902 | − | 1.17230i | 0.0190451 | − | 0.0586148i | ||||
\(401\) | −12.1145 | − | 27.2097i | −0.604972 | − | 1.35879i | −0.913214 | − | 0.407481i | \(-0.866407\pi\) |
0.308242 | − | 0.951308i | \(-0.400259\pi\) | |||||||
\(402\) | 3.13127 | + | 6.02988i | 0.156174 | + | 0.300743i | ||||
\(403\) | −11.8237 | − | 55.6259i | −0.588978 | − | 2.77092i | ||||
\(404\) | −13.4349 | − | 2.85567i | −0.668410 | − | 0.142075i | ||||
\(405\) | 3.10245 | − | 17.1911i | 0.154162 | − | 0.854230i | ||||
\(406\) | 5.89688 | + | 5.32441i | 0.292657 | + | 0.264246i | ||||
\(407\) | 27.1028 | + | 18.3625i | 1.34343 | + | 0.910196i | ||||
\(408\) | −0.456920 | − | 7.59567i | −0.0226209 | − | 0.376042i | ||||
\(409\) | 4.81122 | − | 10.8062i | 0.237899 | − | 0.534331i | −0.754657 | − | 0.656120i | \(-0.772196\pi\) |
0.992556 | + | 0.121789i | \(0.0388632\pi\) | |||||||
\(410\) | 4.88473 | + | 4.39823i | 0.241239 | + | 0.217213i | ||||
\(411\) | 8.99148 | − | 34.6241i | 0.443517 | − | 1.70788i | ||||
\(412\) | −1.66105 | − | 1.20683i | −0.0818343 | − | 0.0594561i | ||||
\(413\) | 2.47682 | − | 7.58700i | 0.121876 | − | 0.373332i | ||||
\(414\) | −1.60271 | + | 1.83625i | −0.0787690 | + | 0.0902469i | ||||
\(415\) | −2.14265 | + | 10.0804i | −0.105179 | + | 0.494827i | ||||
\(416\) | 2.75706 | − | 6.19245i | 0.135176 | − | 0.303610i | ||||
\(417\) | −2.96134 | + | 5.92462i | −0.145017 | + | 0.290130i | ||||
\(418\) | −1.54380 | + | 0.213720i | −0.0755097 | + | 0.0104534i | ||||
\(419\) | − | 13.8394i | − | 0.676097i | −0.941129 | − | 0.338049i | \(-0.890233\pi\) | ||
0.941129 | − | 0.338049i | \(-0.109767\pi\) | |||||||
\(420\) | −8.88524 | − | 0.409231i | −0.433555 | − | 0.0199684i | ||||
\(421\) | −5.19198 | − | 15.9793i | −0.253042 | − | 0.778783i | −0.994209 | − | 0.107462i | \(-0.965727\pi\) |
0.741167 | − | 0.671320i | \(-0.234273\pi\) | |||||||
\(422\) | −4.75241 | + | 4.27909i | −0.231344 | + | 0.208303i | ||||
\(423\) | 13.6294 | − | 24.4720i | 0.662682 | − | 1.18987i | ||||
\(424\) | −4.16540 | − | 0.437801i | −0.202290 | − | 0.0212615i | ||||
\(425\) | −3.62353 | − | 4.02433i | −0.175767 | − | 0.195209i | ||||
\(426\) | −15.3787 | + | 19.2939i | −0.745100 | + | 0.934792i | ||||
\(427\) | −1.43372 | + | 13.4611i | −0.0693824 | + | 0.651430i | ||||
\(428\) | 1.33045 | 0.0643096 | ||||||||
\(429\) | −29.2429 | + | 25.7125i | −1.41186 | + | 1.24141i | ||||
\(430\) | 3.43506 | + | 5.94971i | 0.165653 | + | 0.286920i | ||||
\(431\) | 20.6548 | + | 9.19613i | 0.994909 | + | 0.442962i | 0.838601 | − | 0.544746i | \(-0.183374\pi\) |
0.156308 | + | 0.987708i | \(0.450041\pi\) | |||||||
\(432\) | −0.151657 | + | 5.19394i | −0.00729660 | + | 0.249893i | ||||
\(433\) | 2.97814 | − | 9.16578i | 0.143120 | − | 0.440479i | −0.853644 | − | 0.520857i | \(-0.825613\pi\) |
0.996764 | + | 0.0803776i | \(0.0256126\pi\) | |||||||
\(434\) | 16.5160 | − | 14.8296i | 0.792793 | − | 0.711844i | ||||
\(435\) | −0.450476 | + | 10.0853i | −0.0215987 | + | 0.483555i | ||||
\(436\) | −13.2319 | + | 11.9140i | −0.633692 | + | 0.570579i | ||||
\(437\) | −0.255457 | + | 0.283714i | −0.0122202 | + | 0.0135719i | ||||
\(438\) | 2.23642 | + | 13.4472i | 0.106860 | + | 0.642532i | ||||
\(439\) | 32.3764 | + | 18.6925i | 1.54524 | + | 0.892145i | 0.998495 | + | 0.0548453i | \(0.0174666\pi\) |
0.546745 | + | 0.837299i | \(0.315867\pi\) | |||||||
\(440\) | −3.61079 | + | 5.32947i | −0.172138 | + | 0.254073i | ||||
\(441\) | −4.62604 | − | 20.4841i | −0.220288 | − | 0.975435i | ||||
\(442\) | −17.5041 | − | 24.0924i | −0.832587 | − | 1.14596i | ||||
\(443\) | 5.00874 | − | 23.5643i | 0.237973 | − | 1.11957i | −0.683143 | − | 0.730284i | \(-0.739388\pi\) |
0.921116 | − | 0.389289i | \(-0.127279\pi\) | |||||||
\(444\) | 11.9954 | − | 12.1821i | 0.569276 | − | 0.578138i | ||||
\(445\) | −2.80046 | + | 26.6446i | −0.132755 | + | 1.26308i | ||||
\(446\) | 12.7494 | − | 5.67640i | 0.603701 | − | 0.268785i | ||||
\(447\) | −8.96624 | − | 32.4577i | −0.424089 | − | 1.53519i | ||||
\(448\) | 2.63164 | − | 0.272903i | 0.124333 | − | 0.0128935i | ||||
\(449\) | 6.31116 | + | 8.68657i | 0.297842 | + | 0.409944i | 0.931542 | − | 0.363635i | \(-0.118464\pi\) |
−0.633700 | + | 0.773579i | \(0.718464\pi\) | |||||||
\(450\) | 2.21950 | + | 2.95771i | 0.104628 | + | 0.139428i | ||||
\(451\) | 5.93221 | + | 9.53724i | 0.279337 | + | 0.449091i | ||||
\(452\) | 0.808506 | − | 0.466791i | 0.0380289 | − | 0.0219560i | ||||
\(453\) | 2.79032 | − | 2.29546i | 0.131101 | − | 0.107850i | ||||
\(454\) | 3.10704 | + | 9.56249i | 0.145821 | + | 0.448790i | ||||
\(455\) | −30.1703 | + | 17.3630i | −1.41440 | + | 0.813991i | ||||
\(456\) | −0.0363183 | + | 0.813101i | −0.00170076 | + | 0.0380770i | ||||
\(457\) | −4.38249 | − | 9.84323i | −0.205004 | − | 0.460447i | 0.781558 | − | 0.623832i | \(-0.214425\pi\) |
−0.986562 | + | 0.163386i | \(0.947759\pi\) | |||||||
\(458\) | 17.7321 | − | 3.76907i | 0.828566 | − | 0.176117i | ||||
\(459\) | 19.4282 | + | 11.9862i | 0.906833 | + | 0.559470i | ||||
\(460\) | 0.164833 | + | 1.56828i | 0.00768539 | + | 0.0731216i | ||||
\(461\) | −15.8811 | −0.739657 | −0.369829 | − | 0.929100i | \(-0.620584\pi\) | ||||
−0.369829 | + | 0.929100i | \(0.620584\pi\) | |||||||
\(462\) | −14.3916 | − | 4.88677i | −0.669560 | − | 0.227353i | ||||
\(463\) | −13.2254 | −0.614637 | −0.307318 | − | 0.951607i | \(-0.599432\pi\) | ||||
−0.307318 | + | 0.951607i | \(0.599432\pi\) | |||||||
\(464\) | −0.313890 | − | 2.98647i | −0.0145720 | − | 0.138643i | ||||
\(465\) | 27.8906 | + | 4.19690i | 1.29340 | + | 0.194627i | ||||
\(466\) | −1.81947 | + | 0.386741i | −0.0842854 | + | 0.0179154i | ||||
\(467\) | −11.3821 | − | 25.5646i | −0.526701 | − | 1.18299i | −0.959554 | − | 0.281525i | \(-0.909160\pi\) |
0.432853 | − | 0.901464i | \(-0.357507\pi\) | |||||||
\(468\) | 10.4385 | + | 17.4519i | 0.482521 | + | 0.806713i | ||||
\(469\) | −0.0144074 | + | 10.3787i | −0.000665270 | + | 0.479242i | ||||
\(470\) | −5.60036 | − | 17.2361i | −0.258325 | − | 0.795044i | ||||
\(471\) | 0.200435 | + | 0.243645i | 0.00923555 | + | 0.0112265i | ||||
\(472\) | −2.61241 | + | 1.50828i | −0.120246 | + | 0.0694241i | ||||
\(473\) | 2.81649 | + | 11.3964i | 0.129502 | + | 0.524008i | ||||
\(474\) | 12.9686 | − | 0.780130i | 0.595667 | − | 0.0358326i | ||||
\(475\) | 0.340460 | + | 0.468603i | 0.0156214 | + | 0.0215010i | ||||
\(476\) | 4.74246 | − | 10.6121i | 0.217370 | − | 0.486403i | ||||
\(477\) | 8.26242 | − | 9.46639i | 0.378310 | − | 0.433436i | ||||
\(478\) | −1.83382 | + | 0.816468i | −0.0838768 | + | 0.0373444i | ||||
\(479\) | −1.59293 | + | 15.1557i | −0.0727827 | + | 0.692481i | 0.895913 | + | 0.444230i | \(0.146523\pi\) |
−0.968696 | + | 0.248251i | \(0.920144\pi\) | |||||||
\(480\) | 2.39548 | + | 2.35877i | 0.109338 | + | 0.107662i | ||||
\(481\) | 13.9111 | − | 65.4464i | 0.634290 | − | 2.98410i | ||||
\(482\) | 6.98165 | + | 9.60941i | 0.318005 | + | 0.437697i | ||||
\(483\) | −3.46726 | + | 1.35622i | −0.157766 | + | 0.0617101i | ||||
\(484\) | −8.45559 | + | 7.03584i | −0.384345 | + | 0.319811i | ||||
\(485\) | −3.24582 | − | 1.87397i | −0.147385 | − | 0.0850928i | ||||
\(486\) | −12.4842 | − | 9.33513i | −0.566295 | − | 0.423450i | ||||
\(487\) | −6.65399 | + | 7.39000i | −0.301521 | + | 0.334873i | −0.874797 | − | 0.484489i | \(-0.839006\pi\) |
0.573276 | + | 0.819362i | \(0.305672\pi\) | |||||||
\(488\) | 3.80238 | − | 3.42368i | 0.172126 | − | 0.154983i | ||||
\(489\) | −36.6737 | − | 1.63808i | −1.65844 | − | 0.0740767i | ||||
\(490\) | −11.7476 | − | 6.82605i | −0.530703 | − | 0.308369i | ||||
\(491\) | 1.60842 | − | 4.95021i | 0.0725870 | − | 0.223400i | −0.908181 | − | 0.418578i | \(-0.862529\pi\) |
0.980768 | + | 0.195178i | \(0.0625286\pi\) | |||||||
\(492\) | 5.45956 | − | 2.14425i | 0.246136 | − | 0.0966702i | ||||
\(493\) | −12.0521 | − | 5.36595i | −0.542800 | − | 0.241670i | ||||
\(494\) | 1.59265 | + | 2.75854i | 0.0716565 | + | 0.124113i | ||||
\(495\) | −6.84752 | − | 18.0577i | −0.307773 | − | 0.811635i | ||||
\(496\) | −8.38958 | −0.376703 | ||||||||
\(497\) | −34.4516 | + | 15.2816i | −1.54536 | + | 0.685472i | ||||
\(498\) | 7.19136 | + | 5.73206i | 0.322253 | + | 0.256860i | ||||
\(499\) | −7.12044 | − | 7.90805i | −0.318755 | − | 0.354013i | 0.562379 | − | 0.826879i | \(-0.309886\pi\) |
−0.881134 | + | 0.472866i | \(0.843219\pi\) | |||||||
\(500\) | 12.0311 | + | 1.26452i | 0.538046 | + | 0.0565510i | ||||
\(501\) | −3.21941 | − | 6.19962i | −0.143833 | − | 0.276978i | ||||
\(502\) | −8.65484 | + | 7.79285i | −0.386284 | + | 0.347812i | ||||
\(503\) | 13.3840 | + | 41.1917i | 0.596763 | + | 1.83665i | 0.545748 | + | 0.837949i | \(0.316245\pi\) |
0.0510144 | + | 0.998698i | \(0.483755\pi\) | |||||||
\(504\) | −3.87160 | + | 6.92897i | −0.172455 | + | 0.308641i | ||||
\(505\) | − | 26.6593i | − | 1.18632i | ||||||
\(506\) | −0.473378 | + | 2.65265i | −0.0210442 | + | 0.117925i | ||||
\(507\) | 51.0459 | + | 25.5146i | 2.26703 | + | 1.13314i | ||||
\(508\) | −0.836244 | + | 1.87824i | −0.0371023 | + | 0.0833332i | ||||
\(509\) | −8.77384 | + | 41.2777i | −0.388894 | + | 1.82960i | 0.151837 | + | 0.988406i | \(0.451481\pi\) |
−0.540731 | + | 0.841196i | \(0.681852\pi\) | |||||||
\(510\) | 14.2364 | − | 3.93273i | 0.630400 | − | 0.174144i | ||||
\(511\) | −6.46217 | + | 19.7950i | −0.285870 | + | 0.875678i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −1.93268 | − | 1.49226i | −0.0853297 | − | 0.0658849i | ||||
\(514\) | 18.0708 | + | 16.2710i | 0.797067 | + | 0.717683i | ||||
\(515\) | 1.62091 | − | 3.64062i | 0.0714258 | − | 0.160425i | ||||
\(516\) | 6.11958 | − | 0.368126i | 0.269399 | − | 0.0162058i | ||||
\(517\) | −1.01691 | − | 30.9511i | −0.0447237 | − | 1.36123i | ||||
\(518\) | 24.8485 | − | 8.03564i | 1.09178 | − | 0.353066i | ||||
\(519\) | 13.2765 | − | 35.4013i | 0.582774 | − | 1.55394i | ||||
\(520\) | 12.8693 | + | 2.73546i | 0.564358 | + | 0.119958i | ||||
\(521\) | −6.16082 | − | 28.9844i | −0.269910 | − | 1.26983i | −0.879036 | − | 0.476755i | \(-0.841813\pi\) |
0.609126 | − | 0.793073i | \(-0.291520\pi\) | |||||||
\(522\) | 7.87045 | + | 4.38333i | 0.344480 | + | 0.191853i | ||||
\(523\) | 7.42212 | + | 16.6703i | 0.324546 | + | 0.728943i | 0.999964 | − | 0.00849224i | \(-0.00270320\pi\) |
−0.675417 | + | 0.737436i | \(0.736037\pi\) | |||||||
\(524\) | −1.90035 | + | 5.84867i | −0.0830170 | + | 0.255500i | ||||
\(525\) | 0.918960 | + | 5.57334i | 0.0401067 | + | 0.243241i | ||||
\(526\) | −24.6396 | + | 17.9017i | −1.07434 | + | 0.780552i | ||||
\(527\) | −18.4289 | + | 31.9198i | −0.802776 | + | 1.39045i | ||||
\(528\) | 2.81341 | + | 5.00846i | 0.122438 | + | 0.217965i | ||||
\(529\) | −11.1700 | − | 19.3470i | −0.485651 | − | 0.841172i | ||||
\(530\) | −0.849760 | − | 8.08493i | −0.0369112 | − | 0.351187i | ||||
\(531\) | 0.806823 | − | 9.01363i | 0.0350131 | − | 0.391158i | ||||
\(532\) | −0.623130 | + | 1.07584i | −0.0270161 | + | 0.0466436i | ||||
\(533\) | 13.4927 | − | 18.5711i | 0.584433 | − | 0.804403i | ||||
\(534\) | 20.1506 | + | 12.8658i | 0.872001 | + | 0.556757i | ||||
\(535\) | 0.536903 | + | 2.52593i | 0.0232123 | + | 0.109205i | ||||
\(536\) | 2.62484 | − | 2.91519i | 0.113376 | − | 0.125917i | ||||
\(537\) | 3.87866 | − | 3.19079i | 0.167376 | − | 0.137693i | ||||
\(538\) | 8.71358i | 0.375669i | ||||||||
\(539\) | −16.0464 | − | 16.7783i | −0.691169 | − | 0.722693i | ||||
\(540\) | −9.92219 | + | 1.80809i | −0.426983 | + | 0.0778078i | ||||
\(541\) | −10.5147 | + | 1.10514i | −0.452062 | + | 0.0475136i | −0.327824 | − | 0.944739i | \(-0.606315\pi\) |
−0.124238 | + | 0.992252i | \(0.539649\pi\) | |||||||
\(542\) | −14.6677 | − | 13.2068i | −0.630031 | − | 0.567282i | ||||
\(543\) | 15.2239 | − | 15.4609i | 0.653320 | − | 0.663490i | ||||
\(544\) | −4.01347 | + | 1.78691i | −0.172076 | + | 0.0766132i | ||||
\(545\) | −27.9592 | − | 20.3136i | −1.19764 | − | 0.870138i | ||||
\(546\) | 1.82219 | + | 31.0094i | 0.0779823 | + | 1.32708i | ||||
\(547\) | 0.752165 | − | 0.244393i | 0.0321603 | − | 0.0104495i | −0.292893 | − | 0.956145i | \(-0.594618\pi\) |
0.325053 | + | 0.945696i | \(0.394618\pi\) | |||||||
\(548\) | −20.5401 | + | 2.15886i | −0.877431 | + | 0.0922217i | ||||
\(549\) | 1.84009 | + | 15.2391i | 0.0785331 | + | 0.650390i | ||||
\(550\) | 3.78730 | + | 1.53927i | 0.161491 | + | 0.0656345i | ||||
\(551\) | 1.22205 | + | 0.705554i | 0.0520613 | + | 0.0300576i | ||||
\(552\) | 1.31758 | + | 0.494129i | 0.0560798 | + | 0.0210315i | ||||
\(553\) | 18.1187 | + | 8.09711i | 0.770485 | + | 0.344324i | ||||
\(554\) | 8.54602 | + | 2.77677i | 0.363086 | + | 0.117974i | ||||
\(555\) | 27.9692 | + | 17.8578i | 1.18723 | + | 0.758023i | ||||
\(556\) | 3.80313 | + | 0.399725i | 0.161289 | + | 0.0169521i | ||||
\(557\) | 12.0218 | − | 2.55532i | 0.509382 | − | 0.108272i | 0.0539510 | − | 0.998544i | \(-0.482819\pi\) |
0.455431 | + | 0.890271i | \(0.349485\pi\) | |||||||
\(558\) | 14.4775 | − | 20.5880i | 0.612883 | − | 0.871560i | ||||
\(559\) | 19.4104 | − | 14.1025i | 0.820975 | − | 0.596473i | ||||
\(560\) | 1.58012 | + | 4.88619i | 0.0667724 | + | 0.206479i | ||||
\(561\) | 25.2358 | + | 0.297623i | 1.06545 | + | 0.0125657i | ||||
\(562\) | −0.178016 | + | 0.308333i | −0.00750915 | + | 0.0130062i | ||||
\(563\) | 30.9200 | + | 13.7665i | 1.30312 | + | 0.580188i | 0.936658 | − | 0.350244i | \(-0.113901\pi\) |
0.366465 | + | 0.930432i | \(0.380568\pi\) | |||||||
\(564\) | −15.9924 | − | 2.40648i | −0.673400 | − | 0.101331i | ||||
\(565\) | 1.21250 | + | 1.34662i | 0.0510104 | + | 0.0566528i | ||||
\(566\) | 8.29460 | − | 11.4165i | 0.348648 | − | 0.479873i | ||||
\(567\) | −10.3226 | − | 21.4579i | −0.433509 | − | 0.901149i | ||||
\(568\) | 13.5478 | + | 4.40194i | 0.568452 | + | 0.184701i | ||||
\(569\) | 14.2558 | + | 3.03017i | 0.597636 | + | 0.127031i | 0.496790 | − | 0.867871i | \(-0.334512\pi\) |
0.100846 | + | 0.994902i | \(0.467845\pi\) | |||||||
\(570\) | −1.55838 | + | 0.259175i | −0.0652732 | + | 0.0108557i | ||||
\(571\) | −34.2234 | + | 19.7589i | −1.43220 | + | 0.826884i | −0.997289 | − | 0.0735875i | \(-0.976555\pi\) |
−0.434916 | + | 0.900471i | \(0.643222\pi\) | |||||||
\(572\) | 19.8283 | + | 10.5954i | 0.829064 | + | 0.443018i | ||||
\(573\) | 7.27788 | + | 11.0197i | 0.304038 | + | 0.460354i | ||||
\(574\) | 8.90937 | + | 0.948918i | 0.371870 | + | 0.0396071i | ||||
\(575\) | 0.952419 | − | 0.309460i | 0.0397186 | − | 0.0129054i | ||||
\(576\) | 2.83851 | − | 0.971009i | 0.118271 | − | 0.0404587i | ||||
\(577\) | 1.80520 | − | 17.1754i | 0.0751516 | − | 0.715020i | −0.890465 | − | 0.455051i | \(-0.849621\pi\) |
0.965617 | − | 0.259969i | \(-0.0837123\pi\) | |||||||
\(578\) | −0.240519 | + | 2.28838i | −0.0100043 | + | 0.0951842i | ||||
\(579\) | −6.69317 | + | 25.7738i | −0.278159 | + | 1.07112i | ||||
\(580\) | 5.54331 | − | 1.80113i | 0.230173 | − | 0.0747878i | ||||
\(581\) | 5.69586 | + | 12.8410i | 0.236304 | + | 0.532736i | ||||
\(582\) | −2.79080 | + | 1.84317i | −0.115683 | + | 0.0764018i | ||||
\(583\) | 2.44039 | − | 13.6751i | 0.101071 | − | 0.566366i | ||||
\(584\) | 6.81595 | − | 3.93519i | 0.282046 | − | 0.162839i | ||||
\(585\) | −28.9209 | + | 26.8609i | −1.19573 | + | 1.11056i | ||||
\(586\) | −3.74492 | − | 0.796008i | −0.154701 | − | 0.0328828i | ||||
\(587\) | 18.9588 | + | 6.16010i | 0.782515 | + | 0.254254i | 0.672913 | − | 0.739721i | \(-0.265043\pi\) |
0.109601 | + | 0.993976i | \(0.465043\pi\) | |||||||
\(588\) | −10.1356 | + | 6.65362i | −0.417983 | + | 0.274391i | ||||
\(589\) | 2.31726 | − | 3.18944i | 0.0954812 | − | 0.131419i | ||||
\(590\) | −3.91779 | − | 4.35115i | −0.161293 | − | 0.179134i | ||||
\(591\) | 0.836998 | − | 5.56229i | 0.0344295 | − | 0.228802i | ||||
\(592\) | −9.01735 | − | 4.01478i | −0.370611 | − | 0.165007i | ||||
\(593\) | 1.59393 | − | 2.76077i | 0.0654548 | − | 0.113371i | −0.831441 | − | 0.555613i | \(-0.812484\pi\) |
0.896896 | + | 0.442242i | \(0.145817\pi\) | |||||||
\(594\) | −17.1457 | − | 1.73879i | −0.703498 | − | 0.0713433i | ||||
\(595\) | 22.0614 | + | 4.72132i | 0.904431 | + | 0.193555i | ||||
\(596\) | −15.7283 | + | 11.4273i | −0.644258 | + | 0.468081i | ||||
\(597\) | 27.3453 | − | 10.7399i | 1.11917 | − | 0.439556i | ||||
\(598\) | 5.38676 | − | 1.14499i | 0.220281 | − | 0.0468222i | ||||
\(599\) | −9.01011 | − | 0.947001i | −0.368143 | − | 0.0386934i | −0.0813491 | − | 0.996686i | \(-0.525923\pi\) |
−0.286794 | + | 0.957992i | \(0.592590\pi\) | |||||||
\(600\) | 1.14892 | − | 1.79946i | 0.0469046 | − | 0.0734627i | ||||
\(601\) | 15.0502 | + | 4.89011i | 0.613911 | + | 0.199472i | 0.599435 | − | 0.800423i | \(-0.295392\pi\) |
0.0144763 | + | 0.999895i | \(0.495392\pi\) | |||||||
\(602\) | 8.54979 | + | 3.82084i | 0.348464 | + | 0.155726i | ||||
\(603\) | 2.62427 | + | 11.4720i | 0.106869 | + | 0.467175i | ||||
\(604\) | −1.80659 | − | 1.04303i | −0.0735089 | − | 0.0424404i | ||||
\(605\) | −16.7702 | − | 13.2141i | −0.681806 | − | 0.537230i | ||||
\(606\) | −21.2796 | − | 10.6363i | −0.864424 | − | 0.432070i | ||||
\(607\) | 14.1677 | − | 1.48909i | 0.575051 | − | 0.0604403i | 0.187461 | − | 0.982272i | \(-0.439974\pi\) |
0.387590 | + | 0.921832i | \(0.373308\pi\) | |||||||
\(608\) | 0.446913 | − | 0.145211i | 0.0181247 | − | 0.00588908i | ||||
\(609\) | 7.56779 | + | 11.4933i | 0.306662 | + | 0.465732i | ||||
\(610\) | 8.03450 | + | 5.83741i | 0.325307 | + | 0.236350i | ||||
\(611\) | −57.8198 | + | 25.7431i | −2.33914 | + | 1.04145i | ||||
\(612\) | 2.54080 | − | 12.9326i | 0.102706 | − | 0.522771i | ||||
\(613\) | −15.7474 | − | 14.1790i | −0.636031 | − | 0.572685i | 0.286752 | − | 0.958005i | \(-0.407424\pi\) |
−0.922783 | + | 0.385320i | \(0.874091\pi\) | |||||||
\(614\) | −17.2612 | + | 1.81423i | −0.696607 | + | 0.0732163i | ||||
\(615\) | 6.27419 | + | 9.49997i | 0.253000 | + | 0.383076i | ||||
\(616\) | 0.275975 | + | 8.77062i | 0.0111193 | + | 0.353378i | ||||
\(617\) | 33.0511i | 1.33059i | 0.746582 | + | 0.665293i | \(0.231693\pi\) | ||||
−0.746582 | + | 0.665293i | \(0.768307\pi\) | |||||||
\(618\) | −2.25927 | − | 2.74632i | −0.0908811 | − | 0.110473i | ||||
\(619\) | −5.32475 | + | 5.91374i | −0.214020 | + | 0.237693i | −0.840590 | − | 0.541672i | \(-0.817792\pi\) |
0.626570 | + | 0.779365i | \(0.284458\pi\) | |||||||
\(620\) | −3.38562 | − | 15.9281i | −0.135970 | − | 0.639688i | ||||
\(621\) | −3.48628 | + | 2.38063i | −0.139900 | + | 0.0955314i | ||||
\(622\) | 14.6484 | − | 20.1617i | 0.587346 | − | 0.808413i | ||||
\(623\) | 18.2158 | + | 31.6521i | 0.729802 | + | 1.26812i | ||||
\(624\) | 7.31796 | − | 9.18101i | 0.292953 | − | 0.367535i | ||||
\(625\) | 1.81017 | + | 17.2226i | 0.0724069 | + | 0.688906i | ||||
\(626\) | 13.5849 | + | 23.5298i | 0.542964 | + | 0.940441i | ||||
\(627\) | −2.68114 | − | 0.313809i | −0.107074 | − | 0.0125323i | ||||
\(628\) | 0.0910754 | − | 0.157747i | 0.00363430 | − | 0.00629480i | ||||
\(629\) | −35.0830 | + | 25.4893i | −1.39885 | + | 1.01632i | ||||
\(630\) | −14.7174 | − | 4.55427i | −0.586357 | − | 0.181447i | ||||
\(631\) | −4.27302 | + | 13.1510i | −0.170106 | + | 0.523533i | −0.999376 | − | 0.0353151i | \(-0.988757\pi\) |
0.829270 | + | 0.558848i | \(0.188757\pi\) | |||||||
\(632\) | −3.05091 | − | 6.85246i | −0.121359 | − | 0.272576i | ||||
\(633\) | −9.83007 | + | 5.10468i | −0.390710 | + | 0.202893i | ||||
\(634\) | 0.0576347 | + | 0.271150i | 0.00228897 | + | 0.0107687i | ||||
\(635\) | −3.90341 | − | 0.829694i | −0.154902 | − | 0.0329254i | ||||
\(636\) | −6.79247 | − | 2.54737i | −0.269339 | − | 0.101010i | ||||
\(637\) | −19.4197 | + | 43.2934i | −0.769436 | + | 1.71535i | ||||
\(638\) | 9.95417 | − | 0.327049i | 0.394090 | − | 0.0129480i | ||||
\(639\) | −34.1812 | + | 25.6500i | −1.35219 | + | 1.01470i | ||||
\(640\) | 0.789465 | − | 1.77317i | 0.0312063 | − | 0.0700906i | ||||
\(641\) | −21.1257 | − | 19.0216i | −0.834413 | − | 0.751309i | 0.136526 | − | 0.990637i | \(-0.456406\pi\) |
−0.970939 | + | 0.239327i | \(0.923073\pi\) | |||||||
\(642\) | 2.23042 | + | 0.579215i | 0.0880277 | + | 0.0228598i | ||||
\(643\) | 8.11733 | + | 5.89759i | 0.320116 | + | 0.232578i | 0.736225 | − | 0.676737i | \(-0.236606\pi\) |
−0.416109 | + | 0.909315i | \(0.636606\pi\) | |||||||
\(644\) | 1.43608 | + | 1.59939i | 0.0565897 | + | 0.0630249i | ||||
\(645\) | 3.16847 | + | 11.4698i | 0.124758 | + | 0.451624i | ||||
\(646\) | 0.429225 | − | 2.01935i | 0.0168876 | − | 0.0794501i | ||||
\(647\) | 14.1754 | − | 31.8384i | 0.557291 | − | 1.25170i | −0.386846 | − | 0.922144i | \(-0.626436\pi\) |
0.944137 | − | 0.329552i | \(-0.106898\pi\) | |||||||
\(648\) | −2.51544 | + | 8.64133i | −0.0988160 | + | 0.339463i | ||||
\(649\) | −4.36725 | − | 9.00127i | −0.171429 | − | 0.353331i | ||||
\(650\) | − | 8.35533i | − | 0.327723i | ||||||
\(651\) | 34.1443 | − | 17.6707i | 1.33822 | − | 0.692570i | ||||
\(652\) | 6.54952 | + | 20.1573i | 0.256499 | + | 0.789422i | ||||
\(653\) | −0.787802 | + | 0.709340i | −0.0308291 | + | 0.0277586i | −0.684401 | − | 0.729106i | \(-0.739936\pi\) |
0.653572 | + | 0.756864i | \(0.273270\pi\) | |||||||
\(654\) | −27.3693 | + | 14.2127i | −1.07023 | + | 0.555760i | ||||
\(655\) | −11.8709 | − | 1.24768i | −0.463835 | − | 0.0487510i | ||||
\(656\) | −2.26599 | − | 2.51664i | −0.0884721 | − | 0.0982582i | ||||
\(657\) | −2.10505 | + | 23.5171i | −0.0821259 | + | 0.917491i | ||||
\(658\) | −19.9656 | − | 14.5482i | −0.778340 | − | 0.567149i | ||||
\(659\) | 14.3495 | 0.558978 | 0.279489 | − | 0.960149i | \(-0.409835\pi\) | ||||
0.279489 | + | 0.960149i | \(0.409835\pi\) | |||||||
\(660\) | −8.37350 | + | 7.36260i | −0.325938 | + | 0.286589i | ||||
\(661\) | −17.4838 | − | 30.2828i | −0.680041 | − | 1.17786i | −0.974968 | − | 0.222345i | \(-0.928629\pi\) |
0.294927 | − | 0.955520i | \(-0.404705\pi\) | |||||||
\(662\) | −14.9084 | − | 6.63767i | −0.579433 | − | 0.257980i | ||||
\(663\) | −18.8560 | − | 48.0101i | −0.732308 | − | 1.86456i | ||||
\(664\) | 1.64072 | − | 5.04963i | 0.0636725 | − | 0.195964i | ||||
\(665\) | −2.29401 | − | 0.748891i | −0.0889579 | − | 0.0290408i | ||||
\(666\) | 25.4131 | − | 15.2004i | 0.984739 | − | 0.589004i | ||||
\(667\) | 1.81304 | − | 1.63247i | 0.0702012 | − | 0.0632094i | ||||
\(668\) | −2.69873 | + | 2.99724i | −0.104417 | + | 0.115967i | ||||
\(669\) | 23.8449 | − | 3.96567i | 0.921897 | − | 0.153322i | ||||
\(670\) | 6.59391 | + | 3.80699i | 0.254745 | + | 0.147077i | ||||
\(671\) | 10.4201 | + | 13.3940i | 0.402263 | + | 0.517068i | ||||
\(672\) | 4.53061 | + | 0.688186i | 0.174772 | + | 0.0265473i | ||||
\(673\) | 4.54195 | + | 6.25146i | 0.175079 | + | 0.240976i | 0.887534 | − | 0.460742i | \(-0.152417\pi\) |
−0.712455 | + | 0.701718i | \(0.752417\pi\) | |||||||
\(674\) | −4.99734 | + | 23.5107i | −0.192490 | + | 0.905597i | ||||
\(675\) | 2.43323 | + | 5.92471i | 0.0936549 | + | 0.228042i | ||||
\(676\) | 3.44399 | − | 32.7674i | 0.132461 | − | 1.26028i | ||||
\(677\) | −10.1920 | + | 4.53779i | −0.391712 | + | 0.174401i | −0.593135 | − | 0.805103i | \(-0.702110\pi\) |
0.201423 | + | 0.979504i | \(0.435443\pi\) | |||||||
\(678\) | 1.55863 | − | 0.430564i | 0.0598590 | − | 0.0165357i | ||||
\(679\) | −5.08160 | + | 0.526966i | −0.195014 | + | 0.0202231i | ||||
\(680\) | −5.01219 | − | 6.89869i | −0.192209 | − | 0.264553i | ||||
\(681\) | 1.04572 | + | 17.3837i | 0.0400721 | + | 0.666143i | ||||
\(682\) | 1.99824 | − | 27.7532i | 0.0765165 | − | 1.06273i | ||||
\(683\) | −17.1776 | + | 9.91747i | −0.657281 | + | 0.379481i | −0.791240 | − | 0.611505i | \(-0.790564\pi\) |
0.133959 | + | 0.990987i | \(0.457231\pi\) | |||||||
\(684\) | −0.414872 | + | 1.34731i | −0.0158630 | + | 0.0515156i | ||||
\(685\) | −12.3877 | − | 38.1254i | −0.473310 | − | 1.45670i | ||||
\(686\) | −18.4267 | + | 1.85917i | −0.703535 | + | 0.0709835i | ||||
\(687\) | 31.3678 | + | 1.40109i | 1.19675 | + | 0.0534548i | ||||
\(688\) | −1.43966 | − | 3.23352i | −0.0548864 | − | 0.123277i | ||||
\(689\) | −27.7702 | + | 5.90274i | −1.05796 | + | 0.224877i | ||||
\(690\) | −0.406424 | + | 2.70090i | −0.0154723 | + | 0.102822i | ||||
\(691\) | 3.79008 | + | 36.0602i | 0.144181 | + | 1.37179i | 0.792243 | + | 0.610206i | \(0.208913\pi\) |
−0.648061 | + | 0.761588i | \(0.724420\pi\) | |||||||
\(692\) | −21.8290 | −0.829815 | ||||||||
\(693\) | −21.9993 | − | 14.4579i | −0.835685 | − | 0.549209i | ||||
\(694\) | −7.64636 | −0.290252 | ||||||||
\(695\) | 0.775855 | + | 7.38177i | 0.0294299 | + | 0.280006i | ||||
\(696\) | 0.773949 | − | 5.14330i | 0.0293364 | − | 0.194956i | ||||
\(697\) | −14.5526 | + | 3.09326i | −0.551220 | + | 0.117165i | ||||
\(698\) | −12.3362 | − | 27.7075i | −0.466932 | − | 1.04875i | ||||
\(699\) | −3.21861 | − | 0.143764i | −0.121739 | − | 0.00543765i | ||||
\(700\) | 2.82656 | − | 1.62669i | 0.106834 | − | 0.0614830i | ||||
\(701\) | −13.5723 | − | 41.7711i | −0.512617 | − | 1.57767i | −0.787576 | − | 0.616217i | \(-0.788664\pi\) |
0.274959 | − | 0.961456i | \(-0.411336\pi\) | |||||||
\(702\) | 9.90188 | + | 33.8015i | 0.373722 | + | 1.27576i | ||||
\(703\) | 4.01695 | − | 2.31919i | 0.151502 | − | 0.0874698i | ||||
\(704\) | 2.13712 | − | 2.53628i | 0.0805458 | − | 0.0955896i | ||||
\(705\) | −1.88488 | − | 31.3336i | −0.0709888 | − | 1.18009i | ||||
\(706\) | 5.11919 | + | 7.04597i | 0.192663 | + | 0.265178i | ||||
\(707\) | −21.3189 | − | 29.4288i | −0.801781 | − | 1.10679i | ||||
\(708\) | −5.03620 | + | 1.39122i | −0.189272 | + | 0.0522853i | ||||
\(709\) | 9.34571 | − | 4.16098i | 0.350985 | − | 0.156269i | −0.223669 | − | 0.974665i | \(-0.571803\pi\) |
0.574654 | + | 0.818396i | \(0.305137\pi\) | |||||||
\(710\) | −2.89012 | + | 27.4977i | −0.108464 | + | 1.03197i | ||||
\(711\) | 22.0807 | + | 4.33807i | 0.828093 | + | 0.162690i | ||||
\(712\) | 2.86982 | − | 13.5014i | 0.107551 | − | 0.505988i | ||||
\(713\) | −4.00636 | − | 5.51428i | −0.150039 | − | 0.206511i | ||||
\(714\) | 12.5705 | − | 15.7259i | 0.470438 | − | 0.588527i | ||||
\(715\) | −12.1143 | + | 41.9210i | −0.453050 | + | 1.56776i | ||||
\(716\) | −2.51123 | − | 1.44986i | −0.0938490 | − | 0.0541838i | ||||
\(717\) | −3.42974 | + | 0.570405i | −0.128086 | + | 0.0213022i | ||||
\(718\) | −2.85484 | + | 3.17062i | −0.106542 | + | 0.118327i | ||||
\(719\) | 7.48582 | − | 6.74026i | 0.279174 | − | 0.251369i | −0.517634 | − | 0.855602i | \(-0.673187\pi\) |
0.796808 | + | 0.604233i | \(0.206520\pi\) | |||||||
\(720\) | 2.98900 | + | 4.99722i | 0.111393 | + | 0.186236i | ||||
\(721\) | −1.12204 | − | 5.31505i | −0.0417869 | − | 0.197943i | ||||
\(722\) | 5.80309 | − | 17.8601i | 0.215969 | − | 0.664683i | ||||
\(723\) | 7.52086 | + | 19.1491i | 0.279704 | + | 0.712164i | ||||
\(724\) | −11.4443 | − | 5.09535i | −0.425325 | − | 0.189367i | ||||
\(725\) | −1.85073 | − | 3.20557i | −0.0687345 | − | 0.119052i | ||||
\(726\) | −17.2384 | + | 8.11402i | −0.639777 | + | 0.301140i | ||||
\(727\) | −18.1263 | −0.672267 | −0.336134 | − | 0.941814i | \(-0.609119\pi\) | ||||
−0.336134 | + | 0.941814i | \(0.609119\pi\) | |||||||
\(728\) | 16.3938 | − | 7.27174i | 0.607595 | − | 0.269509i | ||||
\(729\) | −16.8650 | − | 21.0849i | −0.624630 | − | 0.780921i | ||||
\(730\) | 10.2218 | + | 11.3524i | 0.378325 | + | 0.420172i | ||||
\(731\) | −15.4650 | − | 1.62544i | −0.571993 | − | 0.0601189i | ||||
\(732\) | 7.86499 | − | 4.08423i | 0.290698 | − | 0.150957i | ||||
\(733\) | −26.3979 | + | 23.7688i | −0.975029 | + | 0.877920i | −0.992539 | − | 0.121926i | \(-0.961093\pi\) |
0.0175098 | + | 0.999847i | \(0.494426\pi\) | |||||||
\(734\) | 7.27850 | + | 22.4009i | 0.268654 | + | 0.826834i | ||||
\(735\) | −16.7225 | − | 16.5579i | −0.616818 | − | 0.610746i | ||||
\(736\) | − | 0.812439i | − | 0.0299469i | ||||||
\(737\) | 9.01842 | + | 9.37749i | 0.332198 | + | 0.345424i | ||||
\(738\) | 10.0861 | − | 1.21788i | 0.371276 | − | 0.0448308i | ||||
\(739\) | −1.75174 | + | 3.93447i | −0.0644387 | + | 0.144732i | −0.942894 | − | 0.333093i | \(-0.891908\pi\) |
0.878455 | + | 0.477824i | \(0.158574\pi\) | |||||||
\(740\) | 3.98334 | − | 18.7401i | 0.146430 | − | 0.688901i | ||||
\(741\) | 1.46904 | + | 5.31791i | 0.0539666 | + | 0.195358i | ||||
\(742\) | −7.40341 | − | 8.24531i | −0.271788 | − | 0.302695i | ||||
\(743\) | −36.8659 | − | 26.7846i | −1.35248 | − | 0.982632i | −0.998884 | − | 0.0472334i | \(-0.984960\pi\) |
−0.353594 | − | 0.935399i | \(-0.615040\pi\) | |||||||
\(744\) | −14.0647 | − | 3.65243i | −0.515636 | − | 0.133905i | ||||
\(745\) | −28.0426 | − | 25.2497i | −1.02740 | − | 0.925076i | ||||
\(746\) | 15.2501 | − | 34.2523i | 0.558347 | − | 1.25407i | ||||
\(747\) | 9.56045 | + | 12.7403i | 0.349799 | + | 0.466142i | ||||
\(748\) | −4.95528 | − | 13.7024i | −0.181183 | − | 0.501010i | ||||
\(749\) | 2.61262 | + | 2.35899i | 0.0954631 | + | 0.0861956i | ||||
\(750\) | 19.6189 | + | 7.35767i | 0.716382 | + | 0.268664i | ||||
\(751\) | −0.205029 | − | 0.0435803i | −0.00748163 | − | 0.00159027i | 0.204169 | − | 0.978936i | \(-0.434551\pi\) |
−0.211651 | + | 0.977345i | \(0.567884\pi\) | |||||||
\(752\) | 1.94130 | + | 9.13311i | 0.0707920 | + | 0.333050i | ||||
\(753\) | −17.9020 | + | 9.29637i | −0.652385 | + | 0.338779i | ||||
\(754\) | −8.27921 | − | 18.5954i | −0.301511 | − | 0.677205i | ||||
\(755\) | 1.25121 | − | 3.85082i | 0.0455361 | − | 0.140146i | ||||
\(756\) | −9.50708 | + | 9.93053i | −0.345769 | + | 0.361170i | ||||
\(757\) | 7.94575 | − | 5.77293i | 0.288793 | − | 0.209821i | −0.433950 | − | 0.900937i | \(-0.642881\pi\) |
0.722744 | + | 0.691116i | \(0.242881\pi\) | |||||||
\(758\) | 6.84927 | − | 11.8633i | 0.248777 | − | 0.430894i | ||||
\(759\) | −1.94843 | + | 4.24093i | −0.0707236 | + | 0.153936i | ||||
\(760\) | 0.456043 | + | 0.789890i | 0.0165424 | + | 0.0286523i | ||||
\(761\) | −1.63467 | − | 15.5529i | −0.0592568 | − | 0.563791i | −0.983363 | − | 0.181654i | \(-0.941855\pi\) |
0.924106 | − | 0.382137i | \(-0.124812\pi\) | |||||||
\(762\) | −2.21961 | + | 2.78470i | −0.0804081 | + | 0.100879i | ||||
\(763\) | −47.1082 | − | 0.0653943i | −1.70543 | − | 0.00236743i | ||||
\(764\) | 4.48159 | − | 6.16839i | 0.162138 | − | 0.223164i | ||||
\(765\) | 25.5787 | − | 0.395126i | 0.924800 | − | 0.0142858i | ||||
\(766\) | 5.09397 | + | 23.9652i | 0.184052 | + | 0.865899i | ||||
\(767\) | −13.6822 | + | 15.1956i | −0.494034 | + | 0.548681i | ||||
\(768\) | −1.10038 | − | 1.33760i | −0.0397065 | − | 0.0482664i | ||||
\(769\) | 8.36702i | 0.301722i | 0.988555 | + | 0.150861i | \(0.0482047\pi\) | ||||
−0.988555 | + | 0.150861i | \(0.951795\pi\) | |||||||
\(770\) | −16.5402 | + | 4.06335i | −0.596066 | + | 0.146433i | ||||
\(771\) | 23.2110 | + | 35.1446i | 0.835924 | + | 1.26570i | ||||
\(772\) | 15.2899 | − | 1.60703i | 0.550295 | − | 0.0578383i | ||||
\(773\) | 5.23164 | + | 4.71059i | 0.188169 | + | 0.169428i | 0.757831 | − | 0.652451i | \(-0.226259\pi\) |
−0.569662 | + | 0.821879i | \(0.692926\pi\) | |||||||
\(774\) | 10.4194 | + | 2.04704i | 0.374518 | + | 0.0735793i | ||||
\(775\) | −9.44716 | + | 4.20615i | −0.339352 | + | 0.151089i | ||||
\(776\) | 1.56218 | + | 1.13499i | 0.0560791 | + | 0.0407438i | ||||
\(777\) | 45.1554 | − | 2.65344i | 1.61994 | − | 0.0951916i | ||||
\(778\) | −18.0112 | + | 5.85218i | −0.645732 | + | 0.209811i | ||||
\(779\) | 1.58263 | − | 0.166341i | 0.0567035 | − | 0.00595978i | ||||
\(780\) | 20.3839 | + | 10.1886i | 0.729859 | + | 0.364809i | ||||
\(781\) | −17.7887 | + | 43.7684i | −0.636530 | + | 1.56616i | ||||
\(782\) | −3.09109 | − | 1.78464i | −0.110537 | − | 0.0638186i | ||||
\(783\) | 11.2861 | + | 10.7748i | 0.403331 | + | 0.385061i | ||||
\(784\) | 5.65167 | + | 4.13020i | 0.201845 | + | 0.147507i | ||||
\(785\) | 0.336246 | + | 0.109253i | 0.0120011 | + | 0.00389940i | ||||
\(786\) | −5.73206 | + | 8.97764i | −0.204456 | + | 0.320222i | ||||
\(787\) | −0.184282 | − | 0.0193688i | −0.00656893 | − | 0.000690423i | 0.101243 | − | 0.994862i | \(-0.467718\pi\) |
−0.107812 | + | 0.994171i | \(0.534385\pi\) | |||||||
\(788\) | −3.17658 | + | 0.675203i | −0.113161 | + | 0.0240531i | ||||
\(789\) | −49.1005 | + | 19.2843i | −1.74802 | + | 0.686539i | ||||
\(790\) | 11.7786 | − | 8.55765i | 0.419063 | − | 0.304467i | ||||
\(791\) | 2.41534 | + | 0.516901i | 0.0858794 | + | 0.0183789i | ||||
\(792\) | 2.53608 | + | 9.62124i | 0.0901157 | + | 0.341876i | ||||
\(793\) | 17.3414 | − | 30.0362i | 0.615812 | − | 1.06662i | ||||
\(794\) | 8.68995 | + | 3.86901i | 0.308395 | + | 0.137306i | ||||
\(795\) | 2.09523 | − | 13.9239i | 0.0743100 | − | 0.493829i | ||||
\(796\) | −11.3497 | − | 12.6051i | −0.402279 | − | 0.446776i | ||||
\(797\) | 13.9137 | − | 19.1506i | 0.492850 | − | 0.678350i | −0.488060 | − | 0.872810i | \(-0.662295\pi\) |
0.980910 | + | 0.194460i | \(0.0622954\pi\) | |||||||
\(798\) | −1.51301 | + | 1.53231i | −0.0535601 | + | 0.0542430i | ||||
\(799\) | 39.0131 | + | 12.6761i | 1.38018 | + | 0.448449i | ||||
\(800\) | −1.20569 | − | 0.256277i | −0.0426275 | − | 0.00906076i | ||||
\(801\) | 28.1802 | + | 30.3414i | 0.995698 | + | 1.07206i | ||||
\(802\) | −25.7943 | + | 14.8924i | −0.910830 | + | 0.525868i | ||||
\(803\) | 11.3944 | + | 23.4849i | 0.402101 | + | 0.828764i | ||||
\(804\) | 5.66954 | − | 3.74441i | 0.199949 | − | 0.132055i | ||||
\(805\) | −2.45701 | + | 3.37193i | −0.0865981 | + | 0.118845i | ||||
\(806\) | −54.0853 | + | 17.5734i | −1.90507 | + | 0.618996i | ||||
\(807\) | −3.79349 | + | 14.6078i | −0.133537 | + | 0.514220i | ||||
\(808\) | −1.43570 | + | 13.6598i | −0.0505077 | + | 0.480549i | ||||
\(809\) | −4.21338 | + | 40.0877i | −0.148135 | + | 1.40941i | 0.627692 | + | 0.778462i | \(0.284000\pi\) |
−0.775827 | + | 0.630946i | \(0.782667\pi\) | |||||||
\(810\) | −17.4212 | − | 1.28850i | −0.612118 | − | 0.0452733i | ||||
\(811\) | −20.0802 | + | 6.52446i | −0.705112 | + | 0.229105i | −0.639557 | − | 0.768744i | \(-0.720882\pi\) |
−0.0655557 | + | 0.997849i | \(0.520882\pi\) | |||||||
\(812\) | 4.67885 | − | 6.42113i | 0.164196 | − | 0.225337i | ||||
\(813\) | −18.8399 | − | 28.5262i | −0.660745 | − | 1.00046i | ||||
\(814\) | 15.4289 | − | 28.8737i | 0.540783 | − | 1.01202i | ||||
\(815\) | −35.6268 | + | 20.5692i | −1.24795 | + | 0.720506i | ||||
\(816\) | −7.50630 | + | 1.24838i | −0.262773 | + | 0.0437021i | ||||
\(817\) | 1.62692 | + | 0.345813i | 0.0569188 | + | 0.0120985i | ||||
\(818\) | −11.2499 | − | 3.65531i | −0.393343 | − | 0.127805i | ||||
\(819\) | −10.4453 | + | 52.7789i | −0.364987 | + | 1.84424i | ||||
\(820\) | 3.86354 | − | 5.31771i | 0.134921 | − | 0.185702i | ||||
\(821\) | 26.5963 | + | 29.5382i | 0.928218 | + | 1.03089i | 0.999441 | + | 0.0334301i | \(0.0106431\pi\) |
−0.0712231 | + | 0.997460i | \(0.522690\pi\) | |||||||
\(822\) | −35.3743 | − | 5.32302i | −1.23382 | − | 0.185662i | ||||
\(823\) | −4.60882 | − | 2.05198i | −0.160653 | − | 0.0715274i | 0.324835 | − | 0.945771i | \(-0.394691\pi\) |
−0.485488 | + | 0.874243i | \(0.661358\pi\) | |||||||
\(824\) | −1.02659 | + | 1.77810i | −0.0357629 | + | 0.0619431i | ||||
\(825\) | 5.67908 | + | 4.22931i | 0.197720 | + | 0.147246i | ||||
\(826\) | −7.80434 | − | 1.67019i | −0.271548 | − | 0.0581133i | ||||
\(827\) | 28.4600 | − | 20.6774i | 0.989650 | − | 0.719023i | 0.0298059 | − | 0.999556i | \(-0.490511\pi\) |
0.959844 | + | 0.280533i | \(0.0905111\pi\) | |||||||
\(828\) | 1.99372 | + | 1.40199i | 0.0692867 | + | 0.0487226i | ||||
\(829\) | 49.4799 | − | 10.5173i | 1.71851 | − | 0.365280i | 0.759907 | − | 0.650031i | \(-0.225244\pi\) |
0.958601 | + | 0.284751i | \(0.0919110\pi\) | |||||||
\(830\) | 10.2491 | + | 1.07723i | 0.355753 | + | 0.0373911i | ||||
\(831\) | 13.1181 | + | 8.37564i | 0.455060 | + | 0.290548i | ||||
\(832\) | −6.44672 | − | 2.09467i | −0.223500 | − | 0.0726195i | ||||
\(833\) | 28.1289 | − | 12.4303i | 0.974609 | − | 0.430686i | ||||
\(834\) | 6.20171 | + | 2.32582i | 0.214748 | + | 0.0805366i | ||||
\(835\) | −6.77952 | − | 3.91416i | −0.234615 | − | 0.135455i | ||||
\(836\) | 0.373920 | + | 1.51300i | 0.0129323 | + | 0.0523283i | ||||
\(837\) | 33.2339 | − | 28.2118i | 1.14873 | − | 0.975143i | ||||
\(838\) | −13.7635 | + | 1.44661i | −0.475454 | + | 0.0499722i | ||||
\(839\) | 34.4139 | − | 11.1818i | 1.18810 | − | 0.386037i | 0.352730 | − | 0.935725i | \(-0.385253\pi\) |
0.835370 | + | 0.549688i | \(0.185253\pi\) | |||||||
\(840\) | 0.521770 | + | 8.87934i | 0.0180028 | + | 0.306366i | ||||
\(841\) | 16.1662 | + | 11.7454i | 0.557454 | + | 0.405014i | ||||
\(842\) | −15.3490 | + | 6.83383i | −0.528963 | + | 0.235509i | ||||
\(843\) | −0.432668 | + | 0.439403i | −0.0149019 | + | 0.0151338i | ||||
\(844\) | 4.75241 | + | 4.27909i | 0.163585 | + | 0.147292i | ||||
\(845\) | 63.6005 | − | 6.68469i | 2.18792 | − | 0.229960i | ||||
\(846\) | −25.7626 | − | 10.9967i | −0.885738 | − | 0.378073i | ||||
\(847\) | −29.0795 | − | 1.17605i | −0.999183 | − | 0.0404097i | ||||
\(848\) | 4.18834i | 0.143828i | ||||||||
\(849\) | 18.8757 | − | 15.5281i | 0.647811 | − | 0.532923i | ||||
\(850\) | −3.62353 | + | 4.02433i | −0.124286 | + | 0.138034i | ||||
\(851\) | −1.66732 | − | 7.84412i | −0.0571549 | − | 0.268893i | ||||
\(852\) | 20.7957 | + | 13.2777i | 0.712449 | + | 0.454886i | ||||
\(853\) | 6.35392 | − | 8.74541i | 0.217554 | − | 0.299437i | −0.686266 | − | 0.727351i | \(-0.740751\pi\) |
0.903820 | + | 0.427914i | \(0.140751\pi\) | |||||||
\(854\) | 13.5372 | + | 0.0187920i | 0.463235 | + | 0.000643050i | ||||
\(855\) | −2.72536 | − | 0.243951i | −0.0932055 | − | 0.00834296i | ||||
\(856\) | −0.139070 | − | 1.32316i | −0.00475330 | − | 0.0452246i | ||||
\(857\) | −12.9395 | − | 22.4118i | −0.442004 | − | 0.765574i | 0.555834 | − | 0.831293i | \(-0.312399\pi\) |
−0.997838 | + | 0.0657197i | \(0.979066\pi\) | |||||||
\(858\) | 28.6283 | + | 26.3950i | 0.977356 | + | 0.901111i | ||||
\(859\) | 5.09217 | − | 8.81990i | 0.173743 | − | 0.300931i | −0.765983 | − | 0.642861i | \(-0.777747\pi\) |
0.939725 | + | 0.341930i | \(0.111081\pi\) | |||||||
\(860\) | 5.55805 | − | 4.03816i | 0.189528 | − | 0.137700i | ||||
\(861\) | 14.5229 | + | 5.46953i | 0.494941 | + | 0.186401i | ||||
\(862\) | 6.98673 | − | 21.5030i | 0.237969 | − | 0.732393i | ||||
\(863\) | 13.1619 | + | 29.5621i | 0.448036 | + | 1.00631i | 0.986516 | + | 0.163667i | \(0.0523322\pi\) |
−0.538480 | + | 0.842639i | \(0.681001\pi\) | |||||||
\(864\) | 5.18134 | − | 0.392088i | 0.176273 | − | 0.0133391i | ||||
\(865\) | −8.80912 | − | 41.4437i | −0.299519 | − | 1.40913i | ||||
\(866\) | −9.42686 | − | 2.00374i | −0.320338 | − | 0.0680899i | ||||
\(867\) | −1.39947 | + | 3.73164i | −0.0475285 | + | 0.126733i | ||||
\(868\) | −16.4748 | − | 14.8754i | −0.559190 | − | 0.504904i | ||||
\(869\) | 23.3950 | − | 8.46048i | 0.793622 | − | 0.287002i | ||||
\(870\) | 10.0772 | − | 0.606197i | 0.341648 | − | 0.0205520i | ||||
\(871\) | 10.8153 | − | 24.2916i | 0.366462 | − | 0.823088i | ||||
\(872\) | 13.2319 | + | 11.9140i | 0.448088 | + | 0.403460i | ||||
\(873\) | −5.48106 | + | 1.87498i | −0.185506 | + | 0.0634586i | ||||
\(874\) | 0.308862 | + | 0.224402i | 0.0104474 | + | 0.00759050i | ||||
\(875\) | 21.3836 | + | 23.8152i | 0.722896 | + | 0.805102i | ||||
\(876\) | 13.1398 | − | 3.62979i | 0.443952 | − | 0.122639i | ||||
\(877\) | −6.66011 | + | 31.3334i | −0.224896 | + | 1.05805i | 0.710294 | + | 0.703906i | \(0.248562\pi\) |
−0.935190 | + | 0.354147i | \(0.884771\pi\) | |||||||
\(878\) | 15.2059 | − | 34.1529i | 0.513173 | − | 1.15260i | ||||
\(879\) | −5.93161 | − | 2.96483i | −0.200068 | − | 0.100001i | ||||
\(880\) | 5.67771 | + | 3.03393i | 0.191396 | + | 0.102274i | ||||
\(881\) | − | 14.3791i | − | 0.484443i | −0.970221 | − | 0.242222i | \(-0.922124\pi\) | ||
0.970221 | − | 0.242222i | \(-0.0778761\pi\) | |||||||
\(882\) | −19.8884 | + | 6.74187i | −0.669676 | + | 0.227011i | ||||
\(883\) | −14.8097 | − | 45.5797i | −0.498387 | − | 1.53388i | −0.811611 | − | 0.584199i | \(-0.801409\pi\) |
0.313223 | − | 0.949679i | \(-0.398591\pi\) | |||||||
\(884\) | −22.1307 | + | 19.9266i | −0.744337 | + | 0.670204i | ||||
\(885\) | −4.67368 | − | 9.00009i | −0.157104 | − | 0.302535i | ||||
\(886\) | −23.9588 | − | 2.51817i | −0.804910 | − | 0.0845995i | ||||
\(887\) | 12.9752 | + | 14.4104i | 0.435663 | + | 0.483853i | 0.920495 | − | 0.390755i | \(-0.127786\pi\) |
−0.484832 | + | 0.874607i | \(0.661119\pi\) | |||||||
\(888\) | −13.3692 | − | 10.6563i | −0.448643 | − | 0.357602i | ||||
\(889\) | −4.97241 | + | 2.20559i | −0.166769 | + | 0.0739732i | ||||
\(890\) | 26.7914 | 0.898049 | ||||||||
\(891\) | −27.9869 | − | 10.3794i | −0.937597 | − | 0.347724i | ||||
\(892\) | −6.97798 | − | 12.0862i | −0.233640 | − | 0.404676i | ||||
\(893\) | −4.00831 | − | 1.78461i | −0.134133 | − | 0.0597198i | ||||
\(894\) | −31.3426 | + | 12.3099i | −1.04825 | + | 0.411704i | ||||
\(895\) | 1.73923 | − | 5.35280i | 0.0581361 | − | 0.178925i | ||||
\(896\) | −0.546490 | − | 2.58870i | −0.0182569 | − | 0.0864823i | ||||
\(897\) | 9.52908 | + | 0.425630i | 0.318167 | + | 0.0142114i | ||||
\(898\) | 7.97928 | − | 7.18458i | 0.266272 | − | 0.239753i | ||||
\(899\) | −16.8575 | + | 18.7222i | −0.562231 | + | 0.624420i | ||||
\(900\) | 2.70951 | − | 2.51651i | 0.0903170 | − | 0.0838837i | ||||
\(901\) | 15.9354 | + | 9.20030i | 0.530885 | + | 0.306507i | ||||
\(902\) | 8.86491 | − | 6.89662i | 0.295169 | − | 0.229632i | ||||
\(903\) | 12.6698 | + | 10.1276i | 0.421626 | + | 0.337026i | ||||
\(904\) | −0.548746 | − | 0.755284i | −0.0182510 | − | 0.0251204i | ||||
\(905\) | 5.05544 | − | 23.7840i | 0.168048 | − | 0.790606i | ||||
\(906\) | −2.57455 | − | 2.53509i | −0.0855338 | − | 0.0842227i | ||||
\(907\) | 3.16393 | − | 30.1027i | 0.105056 | − | 0.999545i | −0.807298 | − | 0.590144i | \(-0.799071\pi\) |
0.912355 | − | 0.409401i | \(-0.134262\pi\) | |||||||
\(908\) | 9.18533 | − | 4.08957i | 0.304826 | − | 0.135717i | ||||
\(909\) | −31.0435 | − | 27.0953i | −1.02965 | − | 0.898694i | ||||
\(910\) | 20.4216 | + | 28.1901i | 0.676968 | + | 0.934491i | ||||
\(911\) | −3.81440 | − | 5.25007i | −0.126377 | − | 0.173943i | 0.741140 | − | 0.671350i | \(-0.234285\pi\) |
−0.867517 | + | 0.497408i | \(0.834285\pi\) | |||||||
\(912\) | 0.812443 | − | 0.0488728i | 0.0269027 | − | 0.00161834i | ||||
\(913\) | 16.3137 | + | 6.63034i | 0.539905 | + | 0.219432i | ||||
\(914\) | −9.33121 | + | 5.38738i | −0.308649 | + | 0.178199i | ||||
\(915\) | 10.9281 | + | 13.2839i | 0.361271 | + | 0.439153i | ||||
\(916\) | −5.60193 | − | 17.2410i | −0.185093 | − | 0.569658i | ||||
\(917\) | −14.1019 | + | 8.11566i | −0.465686 | + | 0.268003i | ||||
\(918\) | 9.88978 | − | 20.5747i | 0.326411 | − | 0.679067i | ||||
\(919\) | 14.2157 | + | 31.9290i | 0.468932 | + | 1.05324i | 0.980949 | + | 0.194264i | \(0.0622318\pi\) |
−0.512017 | + | 0.858975i | \(0.671102\pi\) | |||||||
\(920\) | 1.54246 | − | 0.327860i | 0.0508535 | − | 0.0108092i | ||||
\(921\) | −29.7273 | − | 4.47329i | −0.979549 | − | 0.147400i | ||||
\(922\) | 1.66003 | + | 15.7941i | 0.0546701 | + | 0.520152i | ||||
\(923\) | 96.5594 | 3.17829 | ||||||||
\(924\) | −3.35566 | + | 14.8236i | −0.110393 | + | 0.487661i | ||||
\(925\) | −12.1669 | −0.400045 | ||||||||
\(926\) | 1.38243 | + | 13.1530i | 0.0454295 | + | 0.432233i | ||||
\(927\) | −2.59192 | − | 5.58764i | −0.0851298 | − | 0.183522i | ||||
\(928\) | −2.93730 | + | 0.624341i | −0.0964214 | + | 0.0204950i | ||||
\(929\) | 0.382239 | + | 0.858523i | 0.0125409 | + | 0.0281672i | 0.919707 | − | 0.392605i | \(-0.128426\pi\) |
−0.907166 | + | 0.420772i | \(0.861759\pi\) | |||||||
\(930\) | 1.25854 | − | 28.1765i | 0.0412693 | − | 0.923945i | ||||
\(931\) | −3.13120 | + | 1.00779i | −0.102621 | + | 0.0330289i | ||||
\(932\) | 0.574809 | + | 1.76908i | 0.0188285 | + | 0.0579481i | ||||
\(933\) | 33.3347 | − | 27.4228i | 1.09133 | − | 0.897784i | ||||
\(934\) | −24.2348 | + | 13.9920i | −0.792987 | + | 0.457831i | ||||
\(935\) | 24.0151 | − | 14.9375i | 0.785378 | − | 0.488509i | ||||
\(936\) | 16.2651 | − | 12.2056i | 0.531643 | − | 0.398951i | ||||
\(937\) | −5.14267 | − | 7.07828i | −0.168004 | − | 0.231237i | 0.716711 | − | 0.697370i | \(-0.245647\pi\) |
−0.884715 | + | 0.466133i | \(0.845647\pi\) | |||||||
\(938\) | 10.3233 | − | 1.07054i | 0.337068 | − | 0.0349543i | ||||
\(939\) | 12.5306 | + | 45.3607i | 0.408922 | + | 1.48029i | ||||
\(940\) | −16.5563 | + | 7.37135i | −0.540008 | + | 0.240427i | ||||
\(941\) | 4.83917 | − | 46.0416i | 0.157752 | − | 1.50091i | −0.573725 | − | 0.819048i | \(-0.694502\pi\) |
0.731477 | − | 0.681866i | \(-0.238831\pi\) | |||||||
\(942\) | 0.221359 | − | 0.224805i | 0.00721226 | − | 0.00732453i | ||||
\(943\) | 0.572027 | − | 2.69118i | 0.0186278 | − | 0.0876368i | ||||
\(944\) | 1.77309 | + | 2.44044i | 0.0577091 | + | 0.0794297i | ||||
\(945\) | −22.6903 | − | 14.0423i | −0.738115 | − | 0.456795i | ||||
\(946\) | 11.0396 | − | 3.99231i | 0.358928 | − | 0.129801i | ||||
\(947\) | 2.63604 | + | 1.52192i | 0.0856597 | + | 0.0494557i | 0.542218 | − | 0.840238i | \(-0.317585\pi\) |
−0.456558 | + | 0.889693i | \(0.650918\pi\) | |||||||
\(948\) | −2.13144 | − | 12.8160i | −0.0692260 | − | 0.416244i | ||||
\(949\) | 35.6976 | − | 39.6462i | 1.15879 | − | 1.28697i | ||||
\(950\) | 0.430448 | − | 0.387577i | 0.0139656 | − | 0.0125747i | ||||
\(951\) | −0.0214247 | + | 0.479659i | −0.000694742 | + | 0.0155540i | ||||
\(952\) | −11.0497 | − | 3.60722i | −0.358121 | − | 0.116911i | ||||
\(953\) | −10.5105 | + | 32.3479i | −0.340468 | + | 1.04785i | 0.623498 | + | 0.781825i | \(0.285711\pi\) |
−0.963966 | + | 0.266027i | \(0.914289\pi\) | |||||||
\(954\) | −10.2782 | − | 7.22765i | −0.332769 | − | 0.234004i | ||||
\(955\) | 13.5196 | + | 6.01931i | 0.437484 | + | 0.194780i | ||||
\(956\) | 1.00368 | + | 1.73843i | 0.0324614 | + | 0.0562247i | ||||
\(957\) | 16.8300 | + | 3.78531i | 0.544037 | + | 0.122362i | ||||
\(958\) | 15.2392 | 0.492355 | ||||||||
\(959\) | −44.1628 | − | 32.1799i | −1.42609 | − | 1.03914i | ||||
\(960\) | 2.09545 | − | 2.62892i | 0.0676303 | − | 0.0848480i | ||||
\(961\) | 26.3537 | + | 29.2688i | 0.850120 | + | 0.944154i | ||||
\(962\) | −66.5420 | − | 6.99385i | −2.14540 | − | 0.225491i | ||||
\(963\) | 3.48701 | + | 1.94204i | 0.112367 | + | 0.0625814i | ||||
\(964\) | 8.82699 | − | 7.94786i | 0.284298 | − | 0.255983i | ||||
\(965\) | 9.22129 | + | 28.3802i | 0.296844 | + | 0.913591i | ||||
\(966\) | 1.71122 | + | 3.30650i | 0.0550575 | + | 0.106385i | ||||
\(967\) | − | 37.6464i | − | 1.21063i | −0.795988 | − | 0.605313i | \(-0.793048\pi\) | ||
0.795988 | − | 0.605313i | \(-0.206952\pi\) | |||||||
\(968\) | 7.88114 | + | 7.67382i | 0.253310 | + | 0.246646i | ||||
\(969\) | 1.59870 | − | 3.19846i | 0.0513577 | − | 0.102749i | ||||
\(970\) | −1.52443 | + | 3.42392i | −0.0489464 | + | 0.109935i | ||||
\(971\) | 2.01211 | − | 9.46621i | 0.0645715 | − | 0.303785i | −0.933996 | − | 0.357282i | \(-0.883703\pi\) |
0.998568 | + | 0.0534970i | \(0.0170368\pi\) | |||||||
\(972\) | −7.97903 | + | 13.3916i | −0.255928 | + | 0.429536i | ||||
\(973\) | 6.75952 | + | 7.52820i | 0.216700 | + | 0.241343i | ||||
\(974\) | 8.04505 | + | 5.84507i | 0.257780 | + | 0.187288i | ||||
\(975\) | 3.63752 | − | 14.0072i | 0.116494 | − | 0.448591i | ||||
\(976\) | −3.80238 | − | 3.42368i | −0.121711 | − | 0.109589i | ||||
\(977\) | −8.93454 | + | 20.0673i | −0.285841 | + | 0.642010i | −0.998211 | − | 0.0597946i | \(-0.980955\pi\) |
0.712369 | + | 0.701805i | \(0.247622\pi\) | |||||||
\(978\) | 2.20434 | + | 36.6440i | 0.0704869 | + | 1.17175i | ||||
\(979\) | 43.9801 | + | 12.7093i | 1.40561 | + | 0.406192i | ||||
\(980\) | −5.56069 | + | 12.3968i | −0.177630 | + | 0.396001i | ||||
\(981\) | −52.0707 | + | 11.9114i | −1.66249 | + | 0.380303i | ||||
\(982\) | −5.09122 | − | 1.08217i | −0.162467 | − | 0.0345335i | ||||
\(983\) | 0.287220 | + | 1.35126i | 0.00916089 | + | 0.0430986i | 0.982491 | − | 0.186312i | \(-0.0596535\pi\) |
−0.973330 | + | 0.229411i | \(0.926320\pi\) | |||||||
\(984\) | −2.70318 | − | 5.20551i | −0.0861743 | − | 0.165946i | ||||
\(985\) | −2.56382 | − | 5.75844i | −0.0816902 | − | 0.183479i | ||||
\(986\) | −4.07676 | + | 12.5470i | −0.129831 | + | 0.399577i | ||||
\(987\) | −27.1376 | − | 33.0814i | −0.863799 | − | 1.05299i | ||||
\(988\) | 2.57696 | − | 1.87227i | 0.0819839 | − | 0.0595648i | ||||
\(989\) | 1.43783 | − | 2.49039i | 0.0457202 | − | 0.0791897i | ||||
\(990\) | −17.2430 | + | 8.69755i | −0.548020 | + | 0.276426i | ||||
\(991\) | 12.0363 | + | 20.8475i | 0.382347 | + | 0.662244i | 0.991397 | − | 0.130887i | \(-0.0417827\pi\) |
−0.609050 | + | 0.793131i | \(0.708449\pi\) | |||||||
\(992\) | 0.876950 | + | 8.34362i | 0.0278432 | + | 0.264910i | ||||
\(993\) | −22.1034 | − | 17.6181i | −0.701432 | − | 0.559094i | ||||
\(994\) | 18.7990 | + | 32.6655i | 0.596268 | + | 1.03609i | ||||
\(995\) | 19.3513 | − | 26.6348i | 0.613479 | − | 0.844381i | ||||
\(996\) | 4.94896 | − | 7.75113i | 0.156814 | − | 0.245604i | ||||
\(997\) | 10.7861 | + | 50.7446i | 0.341599 | + | 1.60710i | 0.728547 | + | 0.684995i | \(0.240196\pi\) |
−0.386948 | + | 0.922101i | \(0.626471\pi\) | |||||||
\(998\) | −7.12044 | + | 7.90805i | −0.225394 | + | 0.250325i | ||||
\(999\) | 49.2213 | − | 14.4190i | 1.55729 | − | 0.456196i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 462.2.bc.b.107.9 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.a.107.15 | yes | 128 | ||
7.4 | even | 3 | inner | 462.2.bc.b.305.2 | yes | 128 | |
11.7 | odd | 10 | 462.2.bc.a.359.4 | yes | 128 | ||
21.11 | odd | 6 | 462.2.bc.a.305.4 | yes | 128 | ||
33.29 | even | 10 | inner | 462.2.bc.b.359.2 | yes | 128 | |
77.18 | odd | 30 | 462.2.bc.a.95.15 | ✓ | 128 | ||
231.95 | even | 30 | inner | 462.2.bc.b.95.9 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.15 | ✓ | 128 | 77.18 | odd | 30 | ||
462.2.bc.a.107.15 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.a.305.4 | yes | 128 | 21.11 | odd | 6 | ||
462.2.bc.a.359.4 | yes | 128 | 11.7 | odd | 10 | ||
462.2.bc.b.95.9 | yes | 128 | 231.95 | even | 30 | inner | |
462.2.bc.b.107.9 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.b.305.2 | yes | 128 | 7.4 | even | 3 | inner | |
462.2.bc.b.359.2 | yes | 128 | 33.29 | even | 10 | inner |