Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(15,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 12, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bs (of order \(60\), degree \(16\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.19 | ||
Character | \(\chi\) | \(=\) | 572.15 |
Dual form | 572.2.bs.a.267.19 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06237 | + | 0.933467i | −0.751212 | + | 0.660061i | ||||
\(3\) | 0.467247 | + | 2.19822i | 0.269765 | + | 1.26915i | 0.879255 | + | 0.476351i | \(0.158041\pi\) |
−0.609490 | + | 0.792794i | \(0.708626\pi\) | |||||||
\(4\) | 0.257278 | − | 1.98338i | 0.128639 | − | 0.991692i | ||||
\(5\) | 0.319292 | − | 2.01593i | 0.142792 | − | 0.901551i | −0.807427 | − | 0.589967i | \(-0.799141\pi\) |
0.950219 | − | 0.311583i | \(-0.100859\pi\) | |||||||
\(6\) | −2.54836 | − | 1.89918i | −1.04036 | − | 0.775336i | ||||
\(7\) | 1.25573 | − | 0.815481i | 0.474622 | − | 0.308223i | −0.285070 | − | 0.958507i | \(-0.592017\pi\) |
0.759691 | + | 0.650284i | \(0.225350\pi\) | |||||||
\(8\) | 1.57810 | + | 2.34726i | 0.557942 | + | 0.829880i | ||||
\(9\) | −1.87323 | + | 0.834017i | −0.624411 | + | 0.278006i | ||||
\(10\) | 1.54260 | + | 2.43972i | 0.487812 | + | 0.771507i | ||||
\(11\) | −1.60213 | − | 2.90400i | −0.483059 | − | 0.875588i | ||||
\(12\) | 4.48013 | − | 0.361175i | 1.29330 | − | 0.104262i | ||||
\(13\) | −2.33185 | − | 2.75000i | −0.646738 | − | 0.762712i | ||||
\(14\) | −0.572831 | + | 2.03853i | −0.153096 | + | 0.544820i | ||||
\(15\) | 4.58065 | − | 0.240062i | 1.18272 | − | 0.0619837i | ||||
\(16\) | −3.86762 | − | 1.02056i | −0.966904 | − | 0.255140i | ||||
\(17\) | 5.27581 | − | 0.554510i | 1.27957 | − | 0.134489i | 0.559759 | − | 0.828656i | \(-0.310894\pi\) |
0.719814 | + | 0.694167i | \(0.244227\pi\) | |||||||
\(18\) | 1.21155 | − | 2.63464i | 0.285564 | − | 0.620991i | ||||
\(19\) | 0.221059 | − | 4.21805i | 0.0507143 | − | 0.967687i | −0.848231 | − | 0.529627i | \(-0.822332\pi\) |
0.898945 | − | 0.438061i | \(-0.144335\pi\) | |||||||
\(20\) | −3.91621 | − | 1.15193i | −0.875692 | − | 0.257580i | ||||
\(21\) | 2.37935 | + | 2.37935i | 0.519216 | + | 0.519216i | ||||
\(22\) | 4.41284 | + | 1.58960i | 0.940821 | + | 0.338904i | ||||
\(23\) | −0.414274 | − | 0.717544i | −0.0863822 | − | 0.149618i | 0.819597 | − | 0.572940i | \(-0.194197\pi\) |
−0.905979 | + | 0.423322i | \(0.860864\pi\) | |||||||
\(24\) | −4.42243 | + | 4.56576i | −0.902725 | + | 0.931982i | ||||
\(25\) | 0.793261 | + | 0.257746i | 0.158652 | + | 0.0515492i | ||||
\(26\) | 5.04433 | + | 0.744825i | 0.989274 | + | 0.146072i | ||||
\(27\) | 1.25423 | + | 1.72630i | 0.241377 | + | 0.332226i | ||||
\(28\) | −1.29434 | − | 2.70040i | −0.244607 | − | 0.510328i | ||||
\(29\) | 5.52706 | − | 6.13843i | 1.02635 | − | 1.13988i | 0.0362743 | − | 0.999342i | \(-0.488451\pi\) |
0.990076 | − | 0.140535i | \(-0.0448823\pi\) | |||||||
\(30\) | −4.64228 | + | 4.53092i | −0.847560 | + | 0.827230i | ||||
\(31\) | −1.06488 | − | 6.72341i | −0.191259 | − | 1.20756i | −0.877280 | − | 0.479979i | \(-0.840644\pi\) |
0.686021 | − | 0.727581i | \(-0.259356\pi\) | |||||||
\(32\) | 5.06152 | − | 2.52608i | 0.894758 | − | 0.446551i | ||||
\(33\) | 5.63505 | − | 4.87871i | 0.980936 | − | 0.849275i | ||||
\(34\) | −5.08727 | + | 5.51390i | −0.872460 | + | 0.945625i | ||||
\(35\) | −1.24301 | − | 2.79184i | −0.210107 | − | 0.471907i | ||||
\(36\) | 1.17223 | + | 3.92991i | 0.195372 | + | 0.654986i | ||||
\(37\) | −5.54167 | + | 0.290427i | −0.911045 | + | 0.0477458i | −0.502096 | − | 0.864812i | \(-0.667438\pi\) |
−0.408948 | + | 0.912558i | \(0.634104\pi\) | |||||||
\(38\) | 3.70257 | + | 4.68750i | 0.600636 | + | 0.760413i | ||||
\(39\) | 4.95556 | − | 6.41085i | 0.793525 | − | 1.02656i | ||||
\(40\) | 5.23577 | − | 2.43187i | 0.827848 | − | 0.384513i | ||||
\(41\) | −2.94893 | + | 4.54095i | −0.460545 | + | 0.709178i | −0.990296 | − | 0.138976i | \(-0.955619\pi\) |
0.529750 | + | 0.848154i | \(0.322286\pi\) | |||||||
\(42\) | −4.74880 | − | 0.306714i | −0.732756 | − | 0.0473270i | ||||
\(43\) | −2.04057 | + | 3.53437i | −0.311184 | + | 0.538987i | −0.978619 | − | 0.205681i | \(-0.934059\pi\) |
0.667435 | + | 0.744668i | \(0.267392\pi\) | |||||||
\(44\) | −6.17193 | + | 2.43050i | −0.930453 | + | 0.366411i | ||||
\(45\) | 1.08321 | + | 4.04260i | 0.161476 | + | 0.602635i | ||||
\(46\) | 1.10992 | + | 0.375589i | 0.163649 | + | 0.0553776i | ||||
\(47\) | 5.82296 | + | 11.4282i | 0.849366 | + | 1.66697i | 0.739630 | + | 0.673014i | \(0.235000\pi\) |
0.109736 | + | 0.993961i | \(0.465000\pi\) | |||||||
\(48\) | 0.436289 | − | 8.97874i | 0.0629729 | − | 1.29597i | ||||
\(49\) | −1.93531 | + | 4.34677i | −0.276472 | + | 0.620967i | ||||
\(50\) | −1.08334 | + | 0.466660i | −0.153207 | + | 0.0659957i | ||||
\(51\) | 3.68405 | + | 11.3383i | 0.515870 | + | 1.58768i | ||||
\(52\) | −6.05423 | + | 3.91743i | −0.839571 | + | 0.543250i | ||||
\(53\) | 4.57536 | + | 3.32419i | 0.628474 | + | 0.456613i | 0.855871 | − | 0.517189i | \(-0.173022\pi\) |
−0.227397 | + | 0.973802i | \(0.573022\pi\) | |||||||
\(54\) | −2.94390 | − | 0.663193i | −0.400615 | − | 0.0902491i | ||||
\(55\) | −6.36579 | + | 2.30255i | −0.858364 | + | 0.310476i | ||||
\(56\) | 3.89581 | + | 1.66061i | 0.520599 | + | 0.221909i | ||||
\(57\) | 9.37551 | − | 1.48494i | 1.24182 | − | 0.196684i | ||||
\(58\) | −0.141790 | + | 11.6806i | −0.0186179 | + | 1.53374i | ||||
\(59\) | −10.2955 | + | 6.68596i | −1.34036 | + | 0.870437i | −0.997617 | − | 0.0689935i | \(-0.978021\pi\) |
−0.342739 | + | 0.939431i | \(0.611355\pi\) | |||||||
\(60\) | 0.702365 | − | 9.14695i | 0.0906750 | − | 1.18087i | ||||
\(61\) | −0.348411 | − | 3.31491i | −0.0446095 | − | 0.424431i | −0.993921 | − | 0.110094i | \(-0.964885\pi\) |
0.949312 | − | 0.314336i | \(-0.101782\pi\) | |||||||
\(62\) | 7.40739 | + | 6.14874i | 0.940739 | + | 0.780891i | ||||
\(63\) | −1.67215 | + | 2.57489i | −0.210671 | + | 0.324405i | ||||
\(64\) | −3.01921 | + | 7.40840i | −0.377402 | + | 0.926050i | ||||
\(65\) | −6.28834 | + | 3.82279i | −0.779973 | + | 0.474158i | ||||
\(66\) | −1.43241 | + | 10.4432i | −0.176317 | + | 1.28546i | ||||
\(67\) | 0.700506 | − | 2.61432i | 0.0855804 | − | 0.319390i | −0.909843 | − | 0.414953i | \(-0.863798\pi\) |
0.995423 | + | 0.0955621i | \(0.0304649\pi\) | |||||||
\(68\) | 0.257543 | − | 10.6066i | 0.0312317 | − | 1.28624i | ||||
\(69\) | 1.38375 | − | 1.24594i | 0.166584 | − | 0.149993i | ||||
\(70\) | 3.92663 | + | 1.80567i | 0.469322 | + | 0.215819i | ||||
\(71\) | 6.68189 | − | 8.25144i | 0.792994 | − | 0.979266i | −0.207005 | − | 0.978340i | \(-0.566372\pi\) |
1.00000 | 0.000926397i | \(-0.000294881\pi\) | ||||||||
\(72\) | −4.91380 | − | 3.08080i | −0.579097 | − | 0.363075i | ||||
\(73\) | 6.41808 | − | 12.5962i | 0.751179 | − | 1.47427i | −0.124933 | − | 0.992165i | \(-0.539872\pi\) |
0.876112 | − | 0.482107i | \(-0.160128\pi\) | |||||||
\(74\) | 5.61622 | − | 5.48151i | 0.652873 | − | 0.637212i | ||||
\(75\) | −0.195935 | + | 1.86420i | −0.0226246 | + | 0.215259i | ||||
\(76\) | −8.30914 | − | 1.52366i | −0.953124 | − | 0.174775i | ||||
\(77\) | −4.37999 | − | 2.34013i | −0.499146 | − | 0.266683i | ||||
\(78\) | 0.719655 | + | 11.4366i | 0.0814849 | + | 1.29494i | ||||
\(79\) | −5.84815 | + | 8.04929i | −0.657969 | + | 0.905616i | −0.999412 | − | 0.0342861i | \(-0.989084\pi\) |
0.341443 | + | 0.939902i | \(0.389084\pi\) | |||||||
\(80\) | −3.29228 | + | 7.47098i | −0.368088 | + | 0.835281i | ||||
\(81\) | −7.32493 | + | 8.13516i | −0.813881 | + | 0.903907i | ||||
\(82\) | −1.10596 | − | 7.57692i | −0.122133 | − | 0.836731i | ||||
\(83\) | 6.43330 | + | 1.01893i | 0.706147 | + | 0.111843i | 0.499171 | − | 0.866503i | \(-0.333638\pi\) |
0.206976 | + | 0.978346i | \(0.433638\pi\) | |||||||
\(84\) | 5.33131 | − | 4.10700i | 0.581693 | − | 0.448111i | ||||
\(85\) | 0.566670 | − | 10.8127i | 0.0614640 | − | 1.17280i | ||||
\(86\) | −1.13137 | − | 5.65963i | −0.121999 | − | 0.610294i | ||||
\(87\) | 16.0761 | + | 9.28156i | 1.72354 | + | 0.995088i | ||||
\(88\) | 4.28811 | − | 8.34339i | 0.457114 | − | 0.889408i | ||||
\(89\) | −0.722802 | + | 2.69754i | −0.0766169 | + | 0.285938i | −0.993595 | − | 0.112999i | \(-0.963954\pi\) |
0.916978 | + | 0.398937i | \(0.130621\pi\) | |||||||
\(90\) | −4.92441 | − | 3.28361i | −0.519078 | − | 0.346123i | ||||
\(91\) | −5.17074 | − | 1.55168i | −0.542041 | − | 0.162660i | ||||
\(92\) | −1.52975 | + | 0.637057i | −0.159487 | + | 0.0664177i | ||||
\(93\) | 14.2820 | − | 5.48235i | 1.48097 | − | 0.568493i | ||||
\(94\) | −16.8540 | − | 6.70548i | −1.73836 | − | 0.691618i | ||||
\(95\) | −8.43271 | − | 1.79243i | −0.865178 | − | 0.183899i | ||||
\(96\) | 7.91786 | + | 9.94605i | 0.808113 | + | 1.01511i | ||||
\(97\) | −0.169866 | + | 0.442516i | −0.0172473 | + | 0.0449307i | −0.941934 | − | 0.335799i | \(-0.890994\pi\) |
0.924686 | + | 0.380730i | \(0.124327\pi\) | |||||||
\(98\) | −2.00155 | − | 6.42444i | −0.202187 | − | 0.648966i | ||||
\(99\) | 5.42314 | + | 4.10366i | 0.545046 | + | 0.412434i | ||||
\(100\) | 0.715298 | − | 1.50703i | 0.0715298 | − | 0.150703i | ||||
\(101\) | 4.12003 | + | 0.433033i | 0.409959 | + | 0.0430884i | 0.307263 | − | 0.951624i | \(-0.400587\pi\) |
0.102695 | + | 0.994713i | \(0.467253\pi\) | |||||||
\(102\) | −14.4978 | − | 8.60661i | −1.43550 | − | 0.852181i | ||||
\(103\) | −0.165352 | − | 0.508900i | −0.0162926 | − | 0.0501434i | 0.942580 | − | 0.333981i | \(-0.108392\pi\) |
−0.958872 | + | 0.283838i | \(0.908392\pi\) | |||||||
\(104\) | 2.77507 | − | 9.81321i | 0.272118 | − | 0.962264i | ||||
\(105\) | 5.55630 | − | 4.03689i | 0.542239 | − | 0.393960i | ||||
\(106\) | −7.96377 | + | 0.739412i | −0.773510 | + | 0.0718180i | ||||
\(107\) | −1.70630 | − | 8.02751i | −0.164954 | − | 0.776048i | −0.980369 | − | 0.197171i | \(-0.936824\pi\) |
0.815415 | − | 0.578877i | \(-0.196509\pi\) | |||||||
\(108\) | 3.74660 | − | 2.04348i | 0.360516 | − | 0.196634i | ||||
\(109\) | 11.0792 | − | 11.0792i | 1.06119 | − | 1.06119i | 0.0631926 | − | 0.998001i | \(-0.479872\pi\) |
0.998001 | − | 0.0631926i | \(-0.0201282\pi\) | |||||||
\(110\) | 4.61350 | − | 8.38843i | 0.439880 | − | 0.799805i | ||||
\(111\) | −3.22775 | − | 12.0461i | −0.306365 | − | 1.14337i | ||||
\(112\) | −5.68893 | + | 1.87242i | −0.537554 | + | 0.176927i | ||||
\(113\) | 7.12017 | + | 7.90775i | 0.669809 | + | 0.743898i | 0.978269 | − | 0.207339i | \(-0.0664803\pi\) |
−0.308460 | + | 0.951237i | \(0.599814\pi\) | |||||||
\(114\) | −8.57416 | + | 10.3293i | −0.803044 | + | 0.967427i | ||||
\(115\) | −1.57879 | + | 0.606042i | −0.147223 | + | 0.0565137i | ||||
\(116\) | −10.7529 | − | 12.5416i | −0.998378 | − | 1.16446i | ||||
\(117\) | 6.66164 | + | 3.20659i | 0.615869 | + | 0.296449i | ||||
\(118\) | 4.69652 | − | 16.7135i | 0.432350 | − | 1.53860i | ||||
\(119\) | 6.17281 | − | 4.99864i | 0.565860 | − | 0.458225i | ||||
\(120\) | 7.79220 | + | 10.3731i | 0.711328 | + | 0.946932i | ||||
\(121\) | −5.86639 | + | 9.30513i | −0.533308 | + | 0.845921i | ||||
\(122\) | 3.46450 | + | 3.19644i | 0.313661 | + | 0.289392i | ||||
\(123\) | −11.3599 | − | 4.36066i | −1.02429 | − | 0.393188i | ||||
\(124\) | −13.6091 | + | 0.382288i | −1.22213 | + | 0.0343305i | ||||
\(125\) | 5.40598 | − | 10.6098i | 0.483526 | − | 0.948973i | ||||
\(126\) | −0.627123 | − | 4.29639i | −0.0558685 | − | 0.382753i | ||||
\(127\) | −12.0783 | − | 5.37761i | −1.07178 | − | 0.477186i | −0.206483 | − | 0.978450i | \(-0.566202\pi\) |
−0.865294 | + | 0.501265i | \(0.832868\pi\) | |||||||
\(128\) | −3.70796 | − | 10.6888i | −0.327740 | − | 0.944768i | ||||
\(129\) | −8.72280 | − | 2.83421i | −0.767999 | − | 0.249538i | ||||
\(130\) | 3.11213 | − | 9.93119i | 0.272951 | − | 0.871023i | ||||
\(131\) | − | 5.41914i | − | 0.473473i | −0.971574 | − | 0.236736i | \(-0.923922\pi\) | ||
0.971574 | − | 0.236736i | \(-0.0760777\pi\) | |||||||
\(132\) | −8.22659 | − | 12.4316i | −0.716033 | − | 1.08204i | ||||
\(133\) | −3.16215 | − | 5.47701i | −0.274193 | − | 0.474917i | ||||
\(134\) | 1.69619 | + | 3.43129i | 0.146528 | + | 0.296418i | ||||
\(135\) | 3.88056 | − | 1.97724i | 0.333985 | − | 0.170174i | ||||
\(136\) | 9.62733 | + | 11.5086i | 0.825536 | + | 0.986855i | ||||
\(137\) | −12.3183 | + | 15.2118i | −1.05242 | + | 1.29963i | −0.0999531 | + | 0.994992i | \(0.531869\pi\) |
−0.952468 | + | 0.304639i | \(0.901464\pi\) | |||||||
\(138\) | −0.307023 | + | 2.61534i | −0.0261355 | + | 0.222633i | ||||
\(139\) | −2.65011 | + | 12.4678i | −0.224779 | + | 1.05750i | 0.710528 | + | 0.703669i | \(0.248456\pi\) |
−0.935308 | + | 0.353835i | \(0.884877\pi\) | |||||||
\(140\) | −5.85709 | + | 1.74708i | −0.495014 | + | 0.147655i | ||||
\(141\) | −22.4010 | + | 18.1400i | −1.88650 | + | 1.52766i | ||||
\(142\) | 0.603788 | + | 15.0034i | 0.0506688 | + | 1.25906i | ||||
\(143\) | −4.25007 | + | 11.1775i | −0.355409 | + | 0.934711i | ||||
\(144\) | 8.09611 | − | 1.31391i | 0.674676 | − | 0.109493i | ||||
\(145\) | −10.6099 | − | 13.1021i | −0.881103 | − | 1.08807i | ||||
\(146\) | 4.93973 | + | 19.3729i | 0.408815 | + | 1.60331i | ||||
\(147\) | −10.4594 | − | 2.22322i | −0.862680 | − | 0.183368i | ||||
\(148\) | −0.849721 | + | 11.0660i | −0.0698466 | + | 0.909617i | ||||
\(149\) | 18.0482 | + | 14.6151i | 1.47856 | + | 1.19732i | 0.933324 | + | 0.359035i | \(0.116894\pi\) |
0.545238 | + | 0.838281i | \(0.316439\pi\) | |||||||
\(150\) | −1.53201 | − | 2.16337i | −0.125088 | − | 0.176639i | ||||
\(151\) | −3.08878 | − | 6.06206i | −0.251361 | − | 0.493324i | 0.730503 | − | 0.682909i | \(-0.239286\pi\) |
−0.981864 | + | 0.189586i | \(0.939286\pi\) | |||||||
\(152\) | 10.2497 | − | 6.13762i | 0.831360 | − | 0.497826i | ||||
\(153\) | −9.42036 | + | 5.43885i | −0.761591 | + | 0.439705i | ||||
\(154\) | 6.83763 | − | 1.60248i | 0.550992 | − | 0.129132i | ||||
\(155\) | −13.8939 | −1.11599 | ||||||||
\(156\) | −11.4402 | − | 11.4782i | −0.915950 | − | 0.918988i | ||||
\(157\) | 0.558170 | − | 1.71787i | 0.0445468 | − | 0.137101i | −0.926309 | − | 0.376764i | \(-0.877037\pi\) |
0.970856 | + | 0.239663i | \(0.0770369\pi\) | |||||||
\(158\) | −1.30082 | − | 14.0104i | −0.103488 | − | 1.11461i | ||||
\(159\) | −5.16950 | + | 11.6109i | −0.409968 | + | 0.920804i | ||||
\(160\) | −3.47629 | − | 11.0102i | −0.274825 | − | 0.870434i | ||||
\(161\) | −1.10536 | − | 0.563209i | −0.0871146 | − | 0.0443871i | ||||
\(162\) | 0.187912 | − | 15.4802i | 0.0147638 | − | 1.21624i | ||||
\(163\) | 2.41760 | − | 6.29807i | 0.189361 | − | 0.493303i | −0.805728 | − | 0.592286i | \(-0.798226\pi\) |
0.995089 | + | 0.0989832i | \(0.0315590\pi\) | |||||||
\(164\) | 8.24775 | + | 7.01714i | 0.644041 | + | 0.547947i | ||||
\(165\) | −8.03592 | − | 12.9176i | −0.625595 | − | 1.00563i | ||||
\(166\) | −7.78572 | + | 4.92279i | −0.604289 | + | 0.382082i | ||||
\(167\) | −1.12439 | − | 1.38850i | −0.0870075 | − | 0.107445i | 0.731783 | − | 0.681538i | \(-0.238688\pi\) |
−0.818791 | + | 0.574092i | \(0.805355\pi\) | |||||||
\(168\) | −1.83009 | + | 9.33978i | −0.141195 | + | 0.720579i | ||||
\(169\) | −2.12498 | + | 12.8251i | −0.163460 | + | 0.986550i | ||||
\(170\) | 9.49130 | + | 12.0161i | 0.727949 | + | 0.921594i | ||||
\(171\) | 3.10383 | + | 8.08576i | 0.237356 | + | 0.618334i | ||||
\(172\) | 6.48502 | + | 4.95655i | 0.494478 | + | 0.377933i | ||||
\(173\) | 3.86035 | − | 3.47587i | 0.293497 | − | 0.264266i | −0.509206 | − | 0.860644i | \(-0.670061\pi\) |
0.802703 | + | 0.596379i | \(0.203394\pi\) | |||||||
\(174\) | −25.7429 | + | 5.14606i | −1.95157 | + | 0.390122i | ||||
\(175\) | 1.20631 | − | 0.323230i | 0.0911884 | − | 0.0244339i | ||||
\(176\) | 3.23270 | + | 12.8666i | 0.243674 | + | 0.969857i | ||||
\(177\) | −19.5078 | − | 19.5078i | −1.46629 | − | 1.46629i | ||||
\(178\) | −1.75017 | − | 3.54050i | −0.131181 | − | 0.265372i | ||||
\(179\) | 14.3714 | − | 3.05473i | 1.07417 | − | 0.228321i | 0.363318 | − | 0.931665i | \(-0.381644\pi\) |
0.710850 | + | 0.703344i | \(0.248310\pi\) | |||||||
\(180\) | 8.29671 | − | 1.10835i | 0.618400 | − | 0.0826117i | ||||
\(181\) | −3.96747 | − | 5.46076i | −0.294900 | − | 0.405895i | 0.635698 | − | 0.771938i | \(-0.280712\pi\) |
−0.930598 | + | 0.366043i | \(0.880712\pi\) | |||||||
\(182\) | 6.94171 | − | 3.17825i | 0.514554 | − | 0.235588i | ||||
\(183\) | 7.12412 | − | 2.31477i | 0.526630 | − | 0.171113i | ||||
\(184\) | 1.03049 | − | 2.10476i | 0.0759690 | − | 0.155165i | ||||
\(185\) | −1.18393 | + | 11.2643i | −0.0870443 | + | 0.828171i | ||||
\(186\) | −10.0552 | + | 19.1561i | −0.737286 | + | 1.40459i | ||||
\(187\) | −10.0628 | − | 14.4325i | −0.735866 | − | 1.05541i | ||||
\(188\) | 24.1646 | − | 8.60894i | 1.76239 | − | 0.627871i | ||||
\(189\) | 2.98274 | + | 1.14497i | 0.216962 | + | 0.0832840i | ||||
\(190\) | 10.6319 | − | 5.96743i | 0.771317 | − | 0.432923i | ||||
\(191\) | −1.93619 | + | 9.10907i | −0.140098 | + | 0.659109i | 0.850911 | + | 0.525310i | \(0.176051\pi\) |
−0.991009 | + | 0.133798i | \(0.957283\pi\) | |||||||
\(192\) | −17.6960 | − | 3.17536i | −1.27710 | − | 0.229162i | ||||
\(193\) | −1.05280 | − | 2.74263i | −0.0757819 | − | 0.197419i | 0.890456 | − | 0.455068i | \(-0.150385\pi\) |
−0.966238 | + | 0.257650i | \(0.917052\pi\) | |||||||
\(194\) | −0.232613 | − | 0.628683i | −0.0167007 | − | 0.0451368i | ||||
\(195\) | −11.3415 | − | 12.0370i | −0.812185 | − | 0.861987i | ||||
\(196\) | 8.12340 | + | 4.95678i | 0.580243 | + | 0.354056i | ||||
\(197\) | −12.6542 | − | 3.39069i | −0.901576 | − | 0.241576i | −0.221883 | − | 0.975073i | \(-0.571220\pi\) |
−0.679693 | + | 0.733497i | \(0.737887\pi\) | |||||||
\(198\) | −9.59204 | + | 0.702698i | −0.681676 | + | 0.0499385i | ||||
\(199\) | 3.19797 | − | 5.53905i | 0.226698 | − | 0.392653i | −0.730129 | − | 0.683309i | \(-0.760540\pi\) |
0.956828 | + | 0.290656i | \(0.0938736\pi\) | |||||||
\(200\) | 0.646847 | + | 2.26873i | 0.0457390 | + | 0.160424i | ||||
\(201\) | 6.07418 | + | 0.318334i | 0.428439 | + | 0.0224536i | ||||
\(202\) | −4.78124 | + | 3.38587i | −0.336407 | + | 0.238229i | ||||
\(203\) | 1.93473 | − | 12.2154i | 0.135792 | − | 0.857355i | ||||
\(204\) | 23.4361 | − | 4.38977i | 1.64085 | − | 0.307346i | ||||
\(205\) | 8.21267 | + | 7.39472i | 0.573598 | + | 0.516470i | ||||
\(206\) | 0.650707 | + | 0.386292i | 0.0453369 | + | 0.0269142i | ||||
\(207\) | 1.37448 | + | 0.998616i | 0.0955328 | + | 0.0694086i | ||||
\(208\) | 6.21215 | + | 13.0157i | 0.430735 | + | 0.902478i | ||||
\(209\) | −12.6034 | + | 6.11590i | −0.871793 | + | 0.423045i | ||||
\(210\) | −2.13457 | + | 9.47531i | −0.147299 | + | 0.653858i | ||||
\(211\) | −15.8806 | − | 1.66912i | −1.09326 | − | 0.114907i | −0.459309 | − | 0.888276i | \(-0.651903\pi\) |
−0.633955 | + | 0.773370i | \(0.718570\pi\) | |||||||
\(212\) | 7.77029 | − | 8.21945i | 0.533666 | − | 0.564514i | ||||
\(213\) | 21.2606 | + | 10.8328i | 1.45675 | + | 0.742253i | ||||
\(214\) | 9.30614 | + | 6.93544i | 0.636155 | + | 0.474097i | ||||
\(215\) | 6.47351 | + | 5.24214i | 0.441490 | + | 0.357511i | ||||
\(216\) | −2.07277 | + | 5.66826i | −0.141034 | + | 0.385677i | ||||
\(217\) | −6.82002 | − | 7.57440i | −0.462973 | − | 0.514184i | ||||
\(218\) | −1.42818 | + | 22.1123i | −0.0967288 | + | 1.49763i | ||||
\(219\) | 30.6881 | + | 8.22284i | 2.07371 | + | 0.555648i | ||||
\(220\) | 2.92906 | + | 13.2182i | 0.197477 | + | 0.891171i | ||||
\(221\) | −13.8273 | − | 13.2154i | −0.930124 | − | 0.888967i | ||||
\(222\) | 14.6737 | + | 9.78450i | 0.984837 | + | 0.656692i | ||||
\(223\) | 8.85044 | + | 5.74754i | 0.592669 | + | 0.384884i | 0.805842 | − | 0.592131i | \(-0.201713\pi\) |
−0.213173 | + | 0.977015i | \(0.568380\pi\) | |||||||
\(224\) | 4.29593 | − | 7.29964i | 0.287034 | − | 0.487728i | ||||
\(225\) | −1.70093 | + | 0.178775i | −0.113395 | + | 0.0119183i | ||||
\(226\) | −14.9459 | − | 1.75454i | −0.994187 | − | 0.116710i | ||||
\(227\) | −9.79207 | − | 15.0785i | −0.649922 | − | 1.00079i | −0.997993 | − | 0.0633244i | \(-0.979830\pi\) |
0.348071 | − | 0.937468i | \(-0.386837\pi\) | |||||||
\(228\) | −0.533084 | − | 18.9773i | −0.0353044 | − | 1.25680i | ||||
\(229\) | 2.72092 | + | 17.1792i | 0.179804 | + | 1.13524i | 0.898195 | + | 0.439597i | \(0.144879\pi\) |
−0.718391 | + | 0.695639i | \(0.755121\pi\) | |||||||
\(230\) | 1.11155 | − | 2.11759i | 0.0732933 | − | 0.139630i | ||||
\(231\) | 3.09760 | − | 10.7216i | 0.203807 | − | 0.705431i | ||||
\(232\) | 23.1307 | + | 3.28639i | 1.51860 | + | 0.215762i | ||||
\(233\) | −5.74329 | + | 7.90496i | −0.376256 | + | 0.517871i | −0.954588 | − | 0.297930i | \(-0.903704\pi\) |
0.578332 | + | 0.815801i | \(0.303704\pi\) | |||||||
\(234\) | −10.0704 | + | 2.81183i | −0.658323 | + | 0.183815i | ||||
\(235\) | 24.8977 | − | 8.08974i | 1.62414 | − | 0.527717i | ||||
\(236\) | 10.6120 | + | 22.1400i | 0.690783 | + | 1.44119i | ||||
\(237\) | −20.4267 | − | 9.09455i | −1.32686 | − | 0.590754i | ||||
\(238\) | −1.89176 | + | 11.0725i | −0.122625 | + | 0.717726i | ||||
\(239\) | 13.9525 | − | 7.10915i | 0.902512 | − | 0.459853i | 0.0597954 | − | 0.998211i | \(-0.480955\pi\) |
0.842716 | + | 0.538358i | \(0.180955\pi\) | |||||||
\(240\) | −17.9612 | − | 3.74637i | −1.15939 | − | 0.241827i | ||||
\(241\) | −7.47162 | + | 2.00202i | −0.481290 | + | 0.128961i | −0.491303 | − | 0.870989i | \(-0.663479\pi\) |
0.0100135 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(242\) | −2.45374 | − | 15.3616i | −0.157732 | − | 0.987482i | ||||
\(243\) | −15.7616 | − | 9.09998i | −1.01111 | − | 0.583764i | ||||
\(244\) | −6.66437 | − | 0.161820i | −0.426643 | − | 0.0103595i | ||||
\(245\) | 8.14485 | + | 5.28933i | 0.520355 | + | 0.337923i | ||||
\(246\) | 16.1390 | − | 5.97145i | 1.02899 | − | 0.380726i | ||||
\(247\) | −12.1151 | + | 9.22794i | −0.770866 | + | 0.587160i | ||||
\(248\) | 14.1011 | − | 13.1098i | 0.895419 | − | 0.832470i | ||||
\(249\) | 0.766093 | + | 14.6179i | 0.0485492 | + | 0.926374i | ||||
\(250\) | 4.16076 | + | 16.3179i | 0.263150 | + | 1.03204i | ||||
\(251\) | −5.01375 | + | 2.23227i | −0.316465 | + | 0.140899i | −0.558822 | − | 0.829288i | \(-0.688746\pi\) |
0.242356 | + | 0.970187i | \(0.422080\pi\) | |||||||
\(252\) | 4.67678 | + | 3.97898i | 0.294610 | + | 0.250652i | ||||
\(253\) | −1.42003 | + | 2.35265i | −0.0892763 | + | 0.147910i | ||||
\(254\) | 17.8515 | − | 5.56167i | 1.12010 | − | 0.348970i | ||||
\(255\) | 24.0335 | − | 3.80654i | 1.50504 | − | 0.238375i | ||||
\(256\) | 13.9169 | + | 7.89427i | 0.869807 | + | 0.493392i | ||||
\(257\) | 7.06052 | + | 6.35732i | 0.440423 | + | 0.396559i | 0.859290 | − | 0.511489i | \(-0.170906\pi\) |
−0.418867 | + | 0.908048i | \(0.637573\pi\) | |||||||
\(258\) | 11.9125 | − | 5.13145i | 0.741641 | − | 0.319470i | ||||
\(259\) | −6.72201 | + | 4.88382i | −0.417685 | + | 0.303466i | ||||
\(260\) | 5.96420 | + | 13.4557i | 0.369884 | + | 0.834487i | ||||
\(261\) | −5.23393 | + | 16.1084i | −0.323972 | + | 0.997083i | ||||
\(262\) | 5.05859 | + | 5.75716i | 0.312521 | + | 0.355678i | ||||
\(263\) | −4.34401 | + | 2.50802i | −0.267863 | + | 0.154651i | −0.627916 | − | 0.778281i | \(-0.716092\pi\) |
0.360053 | + | 0.932932i | \(0.382759\pi\) | |||||||
\(264\) | 20.3442 | + | 5.52780i | 1.25210 | + | 0.340213i | ||||
\(265\) | 8.16222 | − | 8.16222i | 0.501401 | − | 0.501401i | ||||
\(266\) | 8.47199 | + | 2.86687i | 0.519451 | + | 0.175779i | ||||
\(267\) | −6.26752 | − | 0.328467i | −0.383566 | − | 0.0201018i | ||||
\(268\) | −5.00498 | − | 2.06198i | −0.305728 | − | 0.125955i | ||||
\(269\) | 0.646387 | + | 6.14997i | 0.0394109 | + | 0.374970i | 0.996395 | + | 0.0848308i | \(0.0270350\pi\) |
−0.956984 | + | 0.290139i | \(0.906298\pi\) | |||||||
\(270\) | −2.27691 | + | 5.72295i | −0.138569 | + | 0.348288i | ||||
\(271\) | 0.597183 | + | 11.3949i | 0.0362763 | + | 0.692193i | 0.954876 | + | 0.297004i | \(0.0959875\pi\) |
−0.918600 | + | 0.395189i | \(0.870679\pi\) | |||||||
\(272\) | −20.9707 | − | 3.23966i | −1.27154 | − | 0.196433i | ||||
\(273\) | 0.994927 | − | 12.0915i | 0.0602157 | − | 0.731809i | ||||
\(274\) | −1.11310 | − | 27.6593i | −0.0672450 | − | 1.67096i | ||||
\(275\) | −0.522410 | − | 2.71657i | −0.0315025 | − | 0.163815i | ||||
\(276\) | −2.11516 | − | 3.06507i | −0.127318 | − | 0.184495i | ||||
\(277\) | 3.35382 | + | 7.53280i | 0.201511 | + | 0.452602i | 0.985828 | − | 0.167759i | \(-0.0536529\pi\) |
−0.784317 | + | 0.620361i | \(0.786986\pi\) | |||||||
\(278\) | −8.82286 | − | 15.7192i | −0.529160 | − | 0.942778i | ||||
\(279\) | 7.60222 | + | 11.7064i | 0.455133 | + | 0.700843i | ||||
\(280\) | 4.59157 | − | 7.32345i | 0.274399 | − | 0.437660i | ||||
\(281\) | 1.98070 | + | 0.313712i | 0.118159 | + | 0.0187145i | 0.215234 | − | 0.976563i | \(-0.430949\pi\) |
−0.0970750 | + | 0.995277i | \(0.530949\pi\) | |||||||
\(282\) | 6.86517 | − | 40.1820i | 0.408815 | − | 2.39280i | ||||
\(283\) | 5.35424 | − | 1.13808i | 0.318277 | − | 0.0676518i | −0.0460033 | − | 0.998941i | \(-0.514648\pi\) |
0.364280 | + | 0.931289i | \(0.381315\pi\) | |||||||
\(284\) | −14.6467 | − | 15.3757i | −0.869120 | − | 0.912377i | ||||
\(285\) | − | 19.3745i | − | 1.14765i | ||||||
\(286\) | −5.91868 | − | 15.8420i | −0.349979 | − | 0.936758i | ||||
\(287\) | 8.10701i | 0.478542i | ||||||||
\(288\) | −7.37461 | + | 8.95332i | −0.434553 | + | 0.527580i | ||||
\(289\) | 10.8982 | − | 2.31649i | 0.641072 | − | 0.136264i | ||||
\(290\) | 23.5021 | + | 4.01537i | 1.38009 | + | 0.235791i | ||||
\(291\) | −1.05212 | − | 0.166639i | −0.0616764 | − | 0.00976858i | ||||
\(292\) | −23.3318 | − | 15.9702i | −1.36539 | − | 0.934587i | ||||
\(293\) | 3.38530 | + | 5.21290i | 0.197771 | + | 0.304541i | 0.923617 | − | 0.383316i | \(-0.125218\pi\) |
−0.725846 | + | 0.687857i | \(0.758551\pi\) | |||||||
\(294\) | 13.1871 | − | 7.40165i | 0.769090 | − | 0.431673i | ||||
\(295\) | 10.1912 | + | 22.8897i | 0.593352 | + | 1.33269i | ||||
\(296\) | −9.42700 | − | 12.5494i | −0.547933 | − | 0.729418i | ||||
\(297\) | 3.00373 | − | 6.40802i | 0.174294 | − | 0.371831i | ||||
\(298\) | −32.8166 | + | 1.32065i | −1.90102 | + | 0.0765031i | ||||
\(299\) | −1.00722 | + | 2.81246i | −0.0582491 | + | 0.162649i | ||||
\(300\) | 3.64701 | + | 0.868230i | 0.210560 | + | 0.0501273i | ||||
\(301\) | 0.319806 | + | 6.10227i | 0.0184333 | + | 0.351729i | ||||
\(302\) | 8.94017 | + | 3.55691i | 0.514449 | + | 0.204677i | ||||
\(303\) | 0.973170 | + | 9.25909i | 0.0559071 | + | 0.531921i | ||||
\(304\) | −5.15975 | + | 16.0882i | −0.295932 | + | 0.922722i | ||||
\(305\) | −6.79387 | − | 0.356052i | −0.389016 | − | 0.0203875i | ||||
\(306\) | 4.93096 | − | 14.5717i | 0.281884 | − | 0.833008i | ||||
\(307\) | −3.96060 | + | 3.96060i | −0.226043 | + | 0.226043i | −0.811037 | − | 0.584994i | \(-0.801097\pi\) |
0.584994 | + | 0.811037i | \(0.301097\pi\) | |||||||
\(308\) | −5.76826 | + | 8.08514i | −0.328677 | + | 0.460693i | ||||
\(309\) | 1.04142 | − | 0.601262i | 0.0592441 | − | 0.0342046i | ||||
\(310\) | 14.7605 | − | 12.9695i | 0.838343 | − | 0.736620i | ||||
\(311\) | 4.56023 | − | 14.0349i | 0.258587 | − | 0.795849i | −0.734515 | − | 0.678593i | \(-0.762590\pi\) |
0.993102 | − | 0.117256i | \(-0.0374098\pi\) | |||||||
\(312\) | 22.8683 | + | 1.51503i | 1.29466 | + | 0.0857714i | ||||
\(313\) | −12.0331 | + | 8.74260i | −0.680154 | + | 0.494161i | −0.873409 | − | 0.486988i | \(-0.838096\pi\) |
0.193255 | + | 0.981149i | \(0.438096\pi\) | |||||||
\(314\) | 1.01059 | + | 2.34605i | 0.0570309 | + | 0.132396i | ||||
\(315\) | 4.65689 | + | 4.19308i | 0.262386 | + | 0.236253i | ||||
\(316\) | 14.4602 | + | 13.6700i | 0.813452 | + | 0.769000i | ||||
\(317\) | −32.8568 | + | 5.20400i | −1.84542 | + | 0.292286i | −0.978513 | − | 0.206184i | \(-0.933895\pi\) |
−0.866907 | + | 0.498470i | \(0.833895\pi\) | |||||||
\(318\) | −5.34644 | − | 17.1607i | −0.299814 | − | 0.962323i | ||||
\(319\) | −26.6810 | − | 6.21604i | −1.49385 | − | 0.348031i | ||||
\(320\) | 13.9708 | + | 8.45196i | 0.780991 | + | 0.472479i | ||||
\(321\) | 16.8490 | − | 7.50166i | 0.940419 | − | 0.418702i | ||||
\(322\) | 1.70004 | − | 0.433479i | 0.0947398 | − | 0.0241568i | ||||
\(323\) | −1.17269 | − | 22.3762i | −0.0652501 | − | 1.24505i | ||||
\(324\) | 14.2506 | + | 16.6211i | 0.791700 | + | 0.923397i | ||||
\(325\) | −1.14096 | − | 2.78249i | −0.0632892 | − | 0.154345i | ||||
\(326\) | 3.31064 | + | 8.94765i | 0.183359 | + | 0.495565i | ||||
\(327\) | 29.5313 | + | 19.1778i | 1.63308 | + | 1.06054i | ||||
\(328\) | −15.3125 | + | 0.244178i | −0.845490 | + | 0.0134825i | ||||
\(329\) | 16.6315 | + | 9.60223i | 0.916927 | + | 0.529388i | ||||
\(330\) | 20.5953 | + | 6.22204i | 1.13373 | + | 0.342512i | ||||
\(331\) | −13.6802 | + | 3.66559i | −0.751929 | + | 0.201479i | −0.614374 | − | 0.789015i | \(-0.710591\pi\) |
−0.137556 | + | 0.990494i | \(0.543925\pi\) | |||||||
\(332\) | 3.67608 | − | 12.4976i | 0.201751 | − | 0.685892i | ||||
\(333\) | 10.1386 | − | 5.16588i | 0.555593 | − | 0.283089i | ||||
\(334\) | 2.49064 | + | 0.425530i | 0.136282 | + | 0.0232840i | ||||
\(335\) | −5.04662 | − | 2.24690i | −0.275726 | − | 0.122761i | ||||
\(336\) | −6.77413 | − | 11.6307i | −0.369559 | − | 0.634505i | ||||
\(337\) | 13.5227 | − | 4.39378i | 0.736627 | − | 0.239345i | 0.0834101 | − | 0.996515i | \(-0.473419\pi\) |
0.653217 | + | 0.757171i | \(0.273419\pi\) | |||||||
\(338\) | −9.71433 | − | 15.6087i | −0.528390 | − | 0.849002i | ||||
\(339\) | −14.0561 | + | 19.3466i | −0.763424 | + | 1.05076i | ||||
\(340\) | −21.3000 | − | 3.90580i | −1.15515 | − | 0.211822i | ||||
\(341\) | −17.8187 | + | 13.8642i | −0.964936 | + | 0.750787i | ||||
\(342\) | −10.8452 | − | 5.69278i | −0.586443 | − | 0.307830i | ||||
\(343\) | 2.75408 | + | 17.3885i | 0.148706 | + | 0.938893i | ||||
\(344\) | −11.5163 | + | 0.787845i | −0.620917 | + | 0.0424777i | ||||
\(345\) | −2.06990 | − | 3.18737i | −0.111440 | − | 0.171602i | ||||
\(346\) | −0.856520 | + | 7.29618i | −0.0460468 | + | 0.392245i | ||||
\(347\) | 34.4760 | − | 3.62358i | 1.85077 | − | 0.194524i | 0.887093 | − | 0.461591i | \(-0.152721\pi\) |
0.963678 | + | 0.267068i | \(0.0860547\pi\) | |||||||
\(348\) | 22.5449 | − | 29.4972i | 1.20854 | − | 1.58122i | ||||
\(349\) | −3.34932 | − | 2.17507i | −0.179285 | − | 0.116429i | 0.451877 | − | 0.892080i | \(-0.350755\pi\) |
−0.631161 | + | 0.775652i | \(0.717421\pi\) | |||||||
\(350\) | −0.979827 | + | 1.46944i | −0.0523740 | + | 0.0785449i | ||||
\(351\) | 1.82265 | − | 7.47459i | 0.0972857 | − | 0.398964i | ||||
\(352\) | −15.4449 | − | 10.6515i | −0.823216 | − | 0.567728i | ||||
\(353\) | 20.8289 | + | 5.58110i | 1.10861 | + | 0.297052i | 0.766267 | − | 0.642522i | \(-0.222112\pi\) |
0.342345 | + | 0.939574i | \(0.388779\pi\) | |||||||
\(354\) | 38.9344 | + | 2.51468i | 2.06934 | + | 0.133654i | ||||
\(355\) | −14.5009 | − | 16.1048i | −0.769625 | − | 0.854755i | ||||
\(356\) | 5.16429 | + | 2.12761i | 0.273707 | + | 0.112763i | ||||
\(357\) | 13.8724 | + | 11.2336i | 0.734203 | + | 0.594546i | ||||
\(358\) | −12.4163 | + | 16.6605i | −0.656222 | + | 0.880534i | ||||
\(359\) | 27.6775 | + | 14.1024i | 1.46076 | + | 0.744295i | 0.990407 | − | 0.138183i | \(-0.0441261\pi\) |
0.470354 | + | 0.882478i | \(0.344126\pi\) | |||||||
\(360\) | −7.77960 | + | 8.92219i | −0.410021 | + | 0.470241i | ||||
\(361\) | 1.15282 | + | 0.121167i | 0.0606750 | + | 0.00637719i | ||||
\(362\) | 9.31238 | + | 2.09786i | 0.489448 | + | 0.110261i | ||||
\(363\) | −23.1958 | − | 8.54784i | −1.21746 | − | 0.448645i | ||||
\(364\) | −4.40789 | + | 9.85635i | −0.231036 | + | 0.516613i | ||||
\(365\) | −23.3438 | − | 16.9602i | −1.22187 | − | 0.887740i | ||||
\(366\) | −5.40772 | + | 9.10928i | −0.282666 | + | 0.476150i | ||||
\(367\) | 26.6891 | + | 24.0310i | 1.39316 | + | 1.25441i | 0.929715 | + | 0.368279i | \(0.120053\pi\) |
0.463443 | + | 0.886127i | \(0.346614\pi\) | |||||||
\(368\) | 0.869957 | + | 3.19798i | 0.0453496 | + | 0.166706i | ||||
\(369\) | 1.73680 | − | 10.9657i | 0.0904142 | − | 0.570853i | ||||
\(370\) | −9.25712 | − | 13.0721i | −0.481255 | − | 0.679586i | ||||
\(371\) | 8.45624 | + | 0.443173i | 0.439026 | + | 0.0230084i | ||||
\(372\) | −7.19915 | − | 29.7372i | −0.373259 | − | 1.54180i | ||||
\(373\) | −9.02614 | + | 15.6337i | −0.467356 | + | 0.809484i | −0.999304 | − | 0.0372925i | \(-0.988127\pi\) |
0.531948 | + | 0.846777i | \(0.321460\pi\) | |||||||
\(374\) | 24.1628 | + | 5.93946i | 1.24943 | + | 0.307122i | ||||
\(375\) | 25.8487 | + | 6.92615i | 1.33482 | + | 0.357665i | ||||
\(376\) | −17.6357 | + | 31.7028i | −0.909492 | + | 1.63495i | ||||
\(377\) | −29.7689 | − | 0.885546i | −1.53318 | − | 0.0456080i | ||||
\(378\) | −4.23757 | + | 1.56791i | −0.217957 | + | 0.0806444i | ||||
\(379\) | 2.77051 | + | 7.21742i | 0.142311 | + | 0.370734i | 0.986148 | − | 0.165866i | \(-0.0530419\pi\) |
−0.843837 | + | 0.536600i | \(0.819709\pi\) | |||||||
\(380\) | −5.72462 | + | 16.2641i | −0.293667 | + | 0.834333i | ||||
\(381\) | 6.17764 | − | 29.0635i | 0.316490 | − | 1.48897i | ||||
\(382\) | −6.44606 | − | 11.4846i | −0.329809 | − | 0.587604i | ||||
\(383\) | −18.3218 | − | 7.03308i | −0.936201 | − | 0.359374i | −0.158036 | − | 0.987433i | \(-0.550516\pi\) |
−0.778165 | + | 0.628060i | \(0.783849\pi\) | |||||||
\(384\) | 21.7639 | − | 13.1453i | 1.11063 | − | 0.670816i | ||||
\(385\) | −6.11604 | + | 8.08257i | −0.311702 | + | 0.411926i | ||||
\(386\) | 3.67861 | + | 1.93094i | 0.187237 | + | 0.0982825i | ||||
\(387\) | 0.874738 | − | 8.32258i | 0.0444654 | − | 0.423060i | ||||
\(388\) | 0.833977 | + | 0.450759i | 0.0423388 | + | 0.0228838i | ||||
\(389\) | −6.44191 | + | 2.09310i | −0.326618 | + | 0.106125i | −0.467736 | − | 0.883868i | \(-0.654930\pi\) |
0.141118 | + | 0.989993i | \(0.454930\pi\) | |||||||
\(390\) | 23.2851 | + | 2.20083i | 1.17909 | + | 0.111443i | ||||
\(391\) | −2.58352 | − | 3.55591i | −0.130654 | − | 0.179830i | ||||
\(392\) | −13.2571 | + | 2.31697i | −0.669584 | + | 0.117025i | ||||
\(393\) | 11.9125 | − | 2.53208i | 0.600906 | − | 0.127726i | ||||
\(394\) | 16.6086 | − | 8.21012i | 0.836730 | − | 0.413620i | ||||
\(395\) | 14.3595 | + | 14.3595i | 0.722507 | + | 0.722507i | ||||
\(396\) | 9.53439 | − | 9.70038i | 0.479121 | − | 0.487462i | ||||
\(397\) | 11.6530 | − | 3.12242i | 0.584850 | − | 0.156710i | 0.0457514 | − | 0.998953i | \(-0.485432\pi\) |
0.539098 | + | 0.842243i | \(0.318765\pi\) | |||||||
\(398\) | 1.77308 | + | 8.86974i | 0.0888763 | + | 0.444600i | ||||
\(399\) | 10.5622 | − | 9.51023i | 0.528770 | − | 0.476107i | ||||
\(400\) | −2.80498 | − | 1.80643i | −0.140249 | − | 0.0903217i | ||||
\(401\) | 8.38748 | + | 21.8501i | 0.418851 | + | 1.09114i | 0.967003 | + | 0.254765i | \(0.0819980\pi\) |
−0.548152 | + | 0.836378i | \(0.684669\pi\) | |||||||
\(402\) | −6.75020 | + | 5.33186i | −0.336670 | + | 0.265929i | ||||
\(403\) | −16.0062 | + | 18.6064i | −0.797327 | + | 0.926851i | ||||
\(404\) | 1.91886 | − | 8.06019i | 0.0954670 | − | 0.401010i | ||||
\(405\) | 14.0611 | + | 17.3640i | 0.698702 | + | 0.862826i | ||||
\(406\) | 9.34729 | + | 14.7834i | 0.463898 | + | 0.733686i | ||||
\(407\) | 9.72185 | + | 15.6277i | 0.481894 | + | 0.774636i | ||||
\(408\) | −20.8002 | + | 26.5404i | −1.02976 | + | 1.31394i | ||||
\(409\) | −8.23714 | + | 21.4585i | −0.407301 | + | 1.06105i | 0.564538 | + | 0.825407i | \(0.309054\pi\) |
−0.971839 | + | 0.235647i | \(0.924279\pi\) | |||||||
\(410\) | −15.6277 | − | 0.189702i | −0.771795 | − | 0.00936874i | ||||
\(411\) | −39.1946 | − | 19.9707i | −1.93333 | − | 0.985080i | ||||
\(412\) | −1.05189 | + | 0.197027i | −0.0518227 | + | 0.00970682i | ||||
\(413\) | −7.47607 | + | 16.7915i | −0.367873 | + | 0.826257i | ||||
\(414\) | −2.39238 | + | 0.222125i | −0.117579 | + | 0.0109169i | ||||
\(415\) | 4.10820 | − | 12.6437i | 0.201664 | − | 0.620657i | ||||
\(416\) | −18.7494 | − | 8.02874i | −0.919264 | − | 0.393641i | ||||
\(417\) | −28.6453 | −1.40276 | ||||||||
\(418\) | 7.68051 | − | 18.2622i | 0.375666 | − | 0.893233i | ||||
\(419\) | 0.933668 | − | 0.539054i | 0.0456127 | − | 0.0263345i | −0.477020 | − | 0.878892i | \(-0.658283\pi\) |
0.522633 | + | 0.852558i | \(0.324950\pi\) | |||||||
\(420\) | −6.57718 | − | 12.0589i | −0.320934 | − | 0.588413i | ||||
\(421\) | −4.31418 | − | 8.46706i | −0.210260 | − | 0.412659i | 0.761657 | − | 0.647980i | \(-0.224386\pi\) |
−0.971918 | + | 0.235321i | \(0.924386\pi\) | |||||||
\(422\) | 18.4292 | − | 13.0508i | 0.897119 | − | 0.635302i | ||||
\(423\) | −20.4391 | − | 16.5512i | −0.993782 | − | 0.804749i | ||||
\(424\) | −0.582366 | + | 15.9854i | −0.0282822 | + | 0.776322i | ||||
\(425\) | 4.32802 | + | 0.919949i | 0.209940 | + | 0.0446241i | ||||
\(426\) | −32.6988 | + | 8.33757i | −1.58426 | + | 0.403957i | ||||
\(427\) | −3.14076 | − | 3.87851i | −0.151992 | − | 0.187694i | ||||
\(428\) | −16.3606 | + | 1.31895i | −0.790820 | + | 0.0637537i | ||||
\(429\) | −26.5565 | − | 4.11995i | −1.28216 | − | 0.198913i | ||||
\(430\) | −11.7707 | + | 0.473690i | −0.567631 | + | 0.0228434i | ||||
\(431\) | 13.6234 | − | 11.0320i | 0.656217 | − | 0.531394i | −0.242373 | − | 0.970183i | \(-0.577926\pi\) |
0.898590 | + | 0.438789i | \(0.144592\pi\) | |||||||
\(432\) | −3.08909 | − | 7.95668i | −0.148624 | − | 0.382816i | ||||
\(433\) | 0.290367 | − | 1.36607i | 0.0139541 | − | 0.0656490i | −0.970620 | − | 0.240619i | \(-0.922650\pi\) |
0.984574 | + | 0.174970i | \(0.0559829\pi\) | |||||||
\(434\) | 14.3159 | + | 1.68058i | 0.687184 | + | 0.0806705i | ||||
\(435\) | 23.8440 | − | 29.4448i | 1.14323 | − | 1.41177i | ||||
\(436\) | −19.1238 | − | 24.8247i | −0.915866 | − | 1.18889i | ||||
\(437\) | −3.11822 | + | 1.58881i | −0.149165 | + | 0.0760031i | ||||
\(438\) | −40.2780 | + | 19.9106i | −1.92456 | + | 0.951364i | ||||
\(439\) | −5.19444 | − | 8.99703i | −0.247917 | − | 0.429405i | 0.715031 | − | 0.699093i | \(-0.246413\pi\) |
−0.962948 | + | 0.269688i | \(0.913079\pi\) | |||||||
\(440\) | −15.4505 | − | 11.3085i | −0.736575 | − | 0.539111i | ||||
\(441\) | − | 9.75659i | − | 0.464600i | ||||||
\(442\) | 27.0259 | + | 1.13242i | 1.28549 | + | 0.0538639i | ||||
\(443\) | −12.7474 | − | 4.14188i | −0.605647 | − | 0.196787i | −0.00988961 | − | 0.999951i | \(-0.503148\pi\) |
−0.595757 | + | 0.803164i | \(0.703148\pi\) | |||||||
\(444\) | −24.7225 | + | 3.30266i | −1.17328 | + | 0.156738i | ||||
\(445\) | 5.20725 | + | 2.31842i | 0.246848 | + | 0.109904i | ||||
\(446\) | −14.7676 | + | 2.15555i | −0.699267 | + | 0.102068i | ||||
\(447\) | −23.6943 | + | 46.5028i | −1.12070 | + | 2.19950i | ||||
\(448\) | 2.25009 | + | 11.7651i | 0.106307 | + | 0.555847i | ||||
\(449\) | −38.8636 | − | 14.9183i | −1.83408 | − | 0.704039i | −0.984197 | − | 0.177075i | \(-0.943336\pi\) |
−0.849887 | − | 0.526964i | \(-0.823330\pi\) | |||||||
\(450\) | 1.64014 | − | 1.77769i | 0.0773170 | − | 0.0838009i | ||||
\(451\) | 17.9115 | + | 1.28850i | 0.843418 | + | 0.0606732i | ||||
\(452\) | 17.5159 | − | 12.0875i | 0.823881 | − | 0.568550i | ||||
\(453\) | 11.8826 | − | 9.62230i | 0.558291 | − | 0.452095i | ||||
\(454\) | 24.4781 | + | 6.87839i | 1.14881 | + | 0.322819i | ||||
\(455\) | −4.77905 | + | 9.92841i | −0.224045 | + | 0.465451i | ||||
\(456\) | 18.2810 | + | 19.6633i | 0.856086 | + | 0.920821i | ||||
\(457\) | 38.1463 | − | 14.6430i | 1.78441 | − | 0.684970i | 0.786697 | − | 0.617339i | \(-0.211789\pi\) |
0.997710 | − | 0.0676308i | \(-0.0215440\pi\) | |||||||
\(458\) | −18.9269 | − | 15.7109i | −0.884396 | − | 0.734121i | ||||
\(459\) | 7.57433 | + | 8.41215i | 0.353539 | + | 0.392645i | ||||
\(460\) | 0.795824 | + | 3.28727i | 0.0371055 | + | 0.153270i | ||||
\(461\) | 2.96292 | + | 11.0578i | 0.137997 | + | 0.515012i | 0.999968 | + | 0.00805357i | \(0.00256356\pi\) |
−0.861971 | + | 0.506958i | \(0.830770\pi\) | |||||||
\(462\) | 6.71748 | + | 14.2819i | 0.312525 | + | 0.664454i | ||||
\(463\) | −9.99881 | + | 9.99881i | −0.464684 | + | 0.464684i | −0.900187 | − | 0.435503i | \(-0.856571\pi\) |
0.435503 | + | 0.900187i | \(0.356571\pi\) | |||||||
\(464\) | −27.6412 | + | 18.1004i | −1.28321 | + | 0.840289i | ||||
\(465\) | −6.49190 | − | 30.5420i | −0.301054 | − | 1.41635i | ||||
\(466\) | −1.27750 | − | 13.7592i | −0.0591790 | − | 0.637383i | ||||
\(467\) | −22.0528 | + | 16.0223i | −1.02048 | + | 0.741424i | −0.966382 | − | 0.257111i | \(-0.917229\pi\) |
−0.0541012 | + | 0.998535i | \(0.517229\pi\) | |||||||
\(468\) | 8.07378 | − | 12.3876i | 0.373211 | − | 0.572617i | ||||
\(469\) | −1.25228 | − | 3.85413i | −0.0578251 | − | 0.177967i | ||||
\(470\) | −18.8991 | + | 31.8355i | −0.871752 | + | 1.46846i | ||||
\(471\) | 4.03707 | + | 0.424313i | 0.186018 | + | 0.0195513i | ||||
\(472\) | −31.9409 | − | 13.6150i | −1.47020 | − | 0.626681i | ||||
\(473\) | 13.5331 | + | 0.263301i | 0.622251 | + | 0.0121066i | ||||
\(474\) | 30.1902 | − | 9.40583i | 1.38668 | − | 0.432024i | ||||
\(475\) | 1.26254 | − | 3.28904i | 0.0579295 | − | 0.150911i | ||||
\(476\) | −8.32609 | − | 13.5291i | −0.381626 | − | 0.620104i | ||||
\(477\) | −11.3432 | − | 2.41106i | −0.519367 | − | 0.110395i | ||||
\(478\) | −8.18661 | + | 20.5768i | −0.374447 | + | 0.941160i | ||||
\(479\) | −32.6054 | + | 12.5160i | −1.48978 | + | 0.571873i | −0.960918 | − | 0.276835i | \(-0.910715\pi\) |
−0.528862 | + | 0.848708i | \(0.677381\pi\) | |||||||
\(480\) | 22.5786 | − | 12.7861i | 1.03057 | − | 0.583605i | ||||
\(481\) | 13.7210 | + | 14.5623i | 0.625624 | + | 0.663986i | ||||
\(482\) | 6.06884 | − | 9.10140i | 0.276428 | − | 0.414558i | ||||
\(483\) | 0.721584 | − | 2.69299i | 0.0328332 | − | 0.122535i | ||||
\(484\) | 16.9464 | + | 14.0293i | 0.770289 | + | 0.637695i | ||||
\(485\) | 0.837845 | + | 0.483730i | 0.0380446 | + | 0.0219650i | ||||
\(486\) | 25.2393 | − | 5.04538i | 1.14488 | − | 0.228863i | ||||
\(487\) | 1.08878 | − | 20.7752i | 0.0493373 | − | 0.941412i | −0.856068 | − | 0.516864i | \(-0.827099\pi\) |
0.905405 | − | 0.424549i | \(-0.139567\pi\) | |||||||
\(488\) | 7.23111 | − | 6.04906i | 0.327337 | − | 0.273828i | ||||
\(489\) | 14.9742 | + | 2.37168i | 0.677156 | + | 0.107251i | ||||
\(490\) | −13.5903 | + | 1.98371i | −0.613947 | + | 0.0896147i | ||||
\(491\) | −21.0326 | + | 23.3591i | −0.949188 | + | 1.05418i | 0.0492769 | + | 0.998785i | \(0.484308\pi\) |
−0.998465 | + | 0.0553945i | \(0.982358\pi\) | |||||||
\(492\) | −11.5715 | + | 21.4092i | −0.521684 | + | 0.965199i | ||||
\(493\) | 25.7559 | − | 35.4500i | 1.15999 | − | 1.59659i | ||||
\(494\) | 4.25680 | − | 21.1126i | 0.191523 | − | 0.949900i | ||||
\(495\) | 10.0043 | − | 9.62240i | 0.449658 | − | 0.432495i | ||||
\(496\) | −2.74309 | + | 27.0904i | −0.123168 | + | 1.21639i | ||||
\(497\) | 1.66176 | − | 15.8105i | 0.0745399 | − | 0.709200i | ||||
\(498\) | −14.4592 | − | 14.8146i | −0.647934 | − | 0.663858i | ||||
\(499\) | 14.3591 | − | 28.1813i | 0.642800 | − | 1.26157i | −0.307890 | − | 0.951422i | \(-0.599623\pi\) |
0.950690 | − | 0.310144i | \(-0.100377\pi\) | |||||||
\(500\) | −19.6525 | − | 13.4518i | −0.878888 | − | 0.601583i | ||||
\(501\) | 2.52687 | − | 3.12042i | 0.112892 | − | 0.139410i | ||||
\(502\) | 3.24273 | − | 7.05168i | 0.144730 | − | 0.314732i | ||||
\(503\) | −0.213255 | + | 0.192015i | −0.00950856 | + | 0.00856155i | −0.673871 | − | 0.738849i | \(-0.735370\pi\) |
0.664363 | + | 0.747410i | \(0.268703\pi\) | |||||||
\(504\) | −8.68274 | + | 0.138458i | −0.386760 | + | 0.00616741i | ||||
\(505\) | 2.18846 | − | 8.16743i | 0.0973850 | − | 0.363446i | ||||
\(506\) | −0.687520 | − | 3.82494i | −0.0305640 | − | 0.170039i | ||||
\(507\) | −29.1854 | + | 1.32133i | −1.29617 | + | 0.0586822i | ||||
\(508\) | −13.7733 | + | 22.5724i | −0.611093 | + | 1.00149i | ||||
\(509\) | −13.9716 | + | 21.5144i | −0.619281 | + | 0.953609i | 0.380306 | + | 0.924861i | \(0.375819\pi\) |
−0.999587 | + | 0.0287480i | \(0.990848\pi\) | |||||||
\(510\) | −21.9793 | + | 26.4785i | −0.973261 | + | 1.17249i | ||||
\(511\) | −2.21257 | − | 21.0512i | −0.0978785 | − | 0.931252i | ||||
\(512\) | −22.1540 | + | 4.60431i | −0.979078 | + | 0.203484i | ||||
\(513\) | 7.55887 | − | 4.90879i | 0.333732 | − | 0.216728i | ||||
\(514\) | −13.4353 | − | 0.163089i | −0.592604 | − | 0.00719356i | ||||
\(515\) | −1.07870 | + | 0.170850i | −0.0475333 | + | 0.00752853i | ||||
\(516\) | −7.86550 | + | 16.5715i | −0.346259 | + | 0.729518i | ||||
\(517\) | 23.8583 | − | 35.2193i | 1.04929 | − | 1.54894i | ||||
\(518\) | 2.58240 | − | 11.4632i | 0.113464 | − | 0.503665i | ||||
\(519\) | 9.44448 | + | 6.86181i | 0.414567 | + | 0.301200i | ||||
\(520\) | −18.8967 | − | 8.72761i | −0.828674 | − | 0.382731i | ||||
\(521\) | −9.12773 | − | 28.0923i | −0.399893 | − | 1.23074i | −0.925085 | − | 0.379761i | \(-0.876006\pi\) |
0.525192 | − | 0.850984i | \(-0.323994\pi\) | |||||||
\(522\) | −9.47625 | − | 21.9988i | −0.414764 | − | 0.962862i | ||||
\(523\) | −14.2868 | + | 32.0886i | −0.624717 | + | 1.40314i | 0.272763 | + | 0.962081i | \(0.412063\pi\) |
−0.897480 | + | 0.441056i | \(0.854604\pi\) | |||||||
\(524\) | −10.7482 | − | 1.39422i | −0.469539 | − | 0.0609070i | ||||
\(525\) | 1.27418 | + | 2.50071i | 0.0556096 | + | 0.109140i | ||||
\(526\) | 2.27382 | − | 6.71945i | 0.0991431 | − | 0.292982i | ||||
\(527\) | −9.34633 | − | 34.8810i | −0.407133 | − | 1.51944i | ||||
\(528\) | −26.7732 | + | 13.1181i | −1.16515 | + | 0.570892i | ||||
\(529\) | 11.1568 | − | 19.3241i | 0.485076 | − | 0.840177i | ||||
\(530\) | −1.05217 | + | 16.2905i | −0.0457032 | + | 0.707614i | ||||
\(531\) | 13.7096 | − | 21.1110i | 0.594947 | − | 0.916137i | ||||
\(532\) | −11.6766 | + | 4.86264i | −0.506243 | + | 0.210822i | ||||
\(533\) | 19.3641 | − | 2.47926i | 0.838751 | − | 0.107389i | ||||
\(534\) | 6.96506 | − | 5.50157i | 0.301408 | − | 0.238076i | ||||
\(535\) | −16.7277 | + | 0.876661i | −0.723201 | + | 0.0379014i | ||||
\(536\) | 7.24195 | − | 2.48139i | 0.312805 | − | 0.107180i | ||||
\(537\) | 13.4300 | + | 30.1642i | 0.579546 | + | 1.30168i | ||||
\(538\) | −6.42750 | − | 5.93018i | −0.277109 | − | 0.255668i | ||||
\(539\) | 15.7236 | − | 1.34395i | 0.677264 | − | 0.0578880i | ||||
\(540\) | −2.92325 | − | 8.20534i | −0.125797 | − | 0.353102i | ||||
\(541\) | 6.10731 | + | 38.5600i | 0.262574 | + | 1.65783i | 0.668345 | + | 0.743851i | \(0.267003\pi\) |
−0.405771 | + | 0.913975i | \(0.632997\pi\) | |||||||
\(542\) | −11.2712 | − | 11.5482i | −0.484141 | − | 0.496039i | ||||
\(543\) | 10.1502 | − | 11.2729i | 0.435586 | − | 0.483767i | ||||
\(544\) | 25.3029 | − | 16.1338i | 1.08485 | − | 0.691730i | ||||
\(545\) | −18.7974 | − | 25.8724i | −0.805191 | − | 1.10825i | ||||
\(546\) | 10.2300 | + | 13.7744i | 0.437804 | + | 0.589490i | ||||
\(547\) | 13.7165 | + | 4.45677i | 0.586476 | + | 0.190558i | 0.587200 | − | 0.809442i | \(-0.300230\pi\) |
−0.000723600 | 1.00000i | \(0.500230\pi\) | ||||||||
\(548\) | 27.0016 | + | 28.3455i | 1.15345 | + | 1.21086i | ||||
\(549\) | 3.41735 | + | 5.91902i | 0.145849 | + | 0.252618i | ||||
\(550\) | 3.09082 | + | 2.39836i | 0.131793 | + | 0.102266i | ||||
\(551\) | −24.6704 | − | 24.6704i | −1.05099 | − | 1.05099i | ||||
\(552\) | 5.10824 | + | 1.28181i | 0.217421 | + | 0.0545576i | ||||
\(553\) | −0.779660 | + | 14.8768i | −0.0331545 | + | 0.632626i | ||||
\(554\) | −10.5946 | − | 4.87197i | −0.450123 | − | 0.206990i | ||||
\(555\) | −25.3147 | + | 2.66069i | −1.07455 | + | 0.112940i | ||||
\(556\) | 24.0466 | + | 8.46387i | 1.01980 | + | 0.358948i | ||||
\(557\) | −5.15760 | + | 0.270299i | −0.218535 | + | 0.0114529i | −0.161289 | − | 0.986907i | \(-0.551565\pi\) |
−0.0572456 | + | 0.998360i | \(0.518232\pi\) | |||||||
\(558\) | −19.0039 | − | 5.34014i | −0.804501 | − | 0.226066i | ||||
\(559\) | 14.4778 | − | 2.63005i | 0.612347 | − | 0.111239i | ||||
\(560\) | 1.95823 | + | 12.0663i | 0.0827504 | + | 0.509896i | ||||
\(561\) | 27.0242 | − | 28.8639i | 1.14096 | − | 1.21863i | ||||
\(562\) | −2.39709 | + | 1.51564i | −0.101115 | + | 0.0639334i | ||||
\(563\) | 11.2009 | − | 4.98696i | 0.472062 | − | 0.210175i | −0.156896 | − | 0.987615i | \(-0.550149\pi\) |
0.628957 | + | 0.777440i | \(0.283482\pi\) | |||||||
\(564\) | 30.2152 | + | 49.0967i | 1.27229 | + | 2.06735i | ||||
\(565\) | 18.2149 | − | 11.8289i | 0.766305 | − | 0.497644i | ||||
\(566\) | −4.62585 | + | 6.20708i | −0.194439 | + | 0.260903i | ||||
\(567\) | −2.56407 | + | 16.1889i | −0.107681 | + | 0.679871i | ||||
\(568\) | 29.9129 | + | 2.66251i | 1.25512 | + | 0.111716i | ||||
\(569\) | −3.07703 | − | 14.4763i | −0.128996 | − | 0.606877i | −0.994389 | − | 0.105784i | \(-0.966265\pi\) |
0.865393 | − | 0.501093i | \(-0.167069\pi\) | |||||||
\(570\) | 18.0855 | + | 20.5830i | 0.757516 | + | 0.862125i | ||||
\(571\) | 21.2852 | 0.890758 | 0.445379 | − | 0.895342i | \(-0.353069\pi\) | ||||
0.445379 | + | 0.895342i | \(0.353069\pi\) | |||||||
\(572\) | 21.0758 | + | 11.3052i | 0.881225 | + | 0.472696i | ||||
\(573\) | −20.9285 | −0.874299 | ||||||||
\(574\) | −7.56763 | − | 8.61268i | −0.315867 | − | 0.359486i | ||||
\(575\) | −0.143683 | − | 0.675977i | −0.00599201 | − | 0.0281902i | ||||
\(576\) | −0.523037 | − | 16.3957i | −0.0217932 | − | 0.683156i | ||||
\(577\) | 5.35318 | − | 33.7986i | 0.222856 | − | 1.40706i | −0.581808 | − | 0.813326i | \(-0.697655\pi\) |
0.804664 | − | 0.593730i | \(-0.202345\pi\) | |||||||
\(578\) | −9.41562 | + | 12.6341i | −0.391638 | + | 0.525510i | ||||
\(579\) | 5.53699 | − | 3.59576i | 0.230109 | − | 0.149435i | ||||
\(580\) | −28.7162 | + | 17.6726i | −1.19238 | + | 0.733814i | ||||
\(581\) | 8.90942 | − | 3.96673i | 0.369625 | − | 0.164568i | ||||
\(582\) | 1.27330 | − | 0.805086i | 0.0527799 | − | 0.0333719i | ||||
\(583\) | 2.32314 | − | 18.6126i | 0.0962148 | − | 0.770856i | ||||
\(584\) | 39.6948 | − | 4.81315i | 1.64258 | − | 0.199169i | ||||
\(585\) | 8.59126 | − | 12.4056i | 0.355205 | − | 0.512907i | ||||
\(586\) | −8.46252 | − | 2.37799i | −0.349584 | − | 0.0982337i | ||||
\(587\) | −3.12875 | + | 0.163971i | −0.129138 | + | 0.00676781i | −0.116795 | − | 0.993156i | \(-0.537262\pi\) |
−0.0123423 | + | 0.999924i | \(0.503929\pi\) | |||||||
\(588\) | −7.10048 | + | 20.1731i | −0.292819 | + | 0.831924i | ||||
\(589\) | −28.5951 | + | 3.00547i | −1.17824 | + | 0.123838i | ||||
\(590\) | −32.1936 | − | 14.8043i | −1.32539 | − | 0.609484i | ||||
\(591\) | 1.54085 | − | 29.4011i | 0.0633819 | − | 1.20940i | ||||
\(592\) | 21.7294 | + | 4.53235i | 0.893075 | + | 0.186278i | ||||
\(593\) | 22.5406 | + | 22.5406i | 0.925630 | + | 0.925630i | 0.997420 | − | 0.0717898i | \(-0.0228711\pi\) |
−0.0717898 | + | 0.997420i | \(0.522871\pi\) | |||||||
\(594\) | 2.79059 | + | 9.61160i | 0.114499 | + | 0.394369i | ||||
\(595\) | −8.10598 | − | 14.0400i | −0.332313 | − | 0.575583i | ||||
\(596\) | 33.6307 | − | 32.0363i | 1.37757 | − | 1.31226i | ||||
\(597\) | 13.6703 | + | 4.44175i | 0.559488 | + | 0.181789i | ||||
\(598\) | −1.55529 | − | 3.92809i | −0.0636006 | − | 0.160632i | ||||
\(599\) | 11.1287 | + | 15.3173i | 0.454705 | + | 0.625848i | 0.973400 | − | 0.229111i | \(-0.0735820\pi\) |
−0.518695 | + | 0.854959i | \(0.673582\pi\) | |||||||
\(600\) | −4.68495 | + | 2.48198i | −0.191262 | + | 0.101326i | ||||
\(601\) | −18.4221 | + | 20.4598i | −0.751453 | + | 0.834573i | −0.990654 | − | 0.136397i | \(-0.956448\pi\) |
0.239201 | + | 0.970970i | \(0.423115\pi\) | |||||||
\(602\) | −6.03602 | − | 6.18436i | −0.246010 | − | 0.252056i | ||||
\(603\) | 0.868180 | + | 5.48147i | 0.0353550 | + | 0.223223i | ||||
\(604\) | −12.8181 | + | 4.56659i | −0.521560 | + | 0.185812i | ||||
\(605\) | 16.8854 | + | 14.7973i | 0.686489 | + | 0.601595i | ||||
\(606\) | −9.67693 | − | 8.92820i | −0.393098 | − | 0.362683i | ||||
\(607\) | −13.3050 | − | 29.8835i | −0.540033 | − | 1.21293i | −0.953217 | − | 0.302286i | \(-0.902250\pi\) |
0.413184 | − | 0.910647i | \(-0.364417\pi\) | |||||||
\(608\) | −9.53623 | − | 21.9081i | −0.386745 | − | 0.888493i | ||||
\(609\) | 27.7562 | − | 1.45464i | 1.12474 | − | 0.0589451i | ||||
\(610\) | 7.54999 | − | 5.96359i | 0.305690 | − | 0.241459i | ||||
\(611\) | 17.8493 | − | 42.6619i | 0.722105 | − | 1.72592i | ||||
\(612\) | 8.36367 | + | 20.0835i | 0.338081 | + | 0.811826i | ||||
\(613\) | 6.51420 | − | 10.0310i | 0.263106 | − | 0.405148i | −0.682285 | − | 0.731087i | \(-0.739014\pi\) |
0.945391 | + | 0.325938i | \(0.105680\pi\) | |||||||
\(614\) | 0.510548 | − | 7.90473i | 0.0206041 | − | 0.319009i | ||||
\(615\) | −12.4179 | + | 21.5084i | −0.500738 | + | 0.867304i | ||||
\(616\) | −1.41916 | − | 13.9739i | −0.0571798 | − | 0.563025i | ||||
\(617\) | 11.6709 | + | 43.5565i | 0.469853 | + | 1.75352i | 0.640275 | + | 0.768146i | \(0.278820\pi\) |
−0.170422 | + | 0.985371i | \(0.554513\pi\) | |||||||
\(618\) | −0.545115 | + | 1.61089i | −0.0219278 | + | 0.0647996i | ||||
\(619\) | −5.04505 | − | 9.90147i | −0.202778 | − | 0.397974i | 0.767114 | − | 0.641511i | \(-0.221692\pi\) |
−0.969892 | + | 0.243537i | \(0.921692\pi\) | |||||||
\(620\) | −3.57460 | + | 27.5570i | −0.143559 | + | 1.10671i | ||||
\(621\) | 0.719101 | − | 1.61513i | 0.0288565 | − | 0.0648128i | ||||
\(622\) | 8.25649 | + | 19.1672i | 0.331055 | + | 0.768534i | ||||
\(623\) | 1.29214 | + | 3.97681i | 0.0517687 | + | 0.159328i | ||||
\(624\) | −25.7089 | + | 19.7373i | −1.02918 | + | 0.790123i | ||||
\(625\) | −16.2887 | − | 11.8344i | −0.651546 | − | 0.473376i | ||||
\(626\) | 4.62278 | − | 20.5205i | 0.184764 | − | 0.820162i | ||||
\(627\) | −19.3330 | − | 24.8474i | −0.772085 | − | 0.992309i | ||||
\(628\) | −3.26359 | − | 1.54903i | −0.130231 | − | 0.0618132i | ||||
\(629\) | −29.0758 | + | 4.60515i | −1.15933 | + | 0.183619i | ||||
\(630\) | −8.86146 | − | 0.107568i | −0.353049 | − | 0.00428562i | ||||
\(631\) | −37.0748 | + | 24.0767i | −1.47593 | + | 0.958477i | −0.479192 | + | 0.877710i | \(0.659070\pi\) |
−0.996733 | + | 0.0807671i | \(0.974263\pi\) | |||||||
\(632\) | −28.1227 | − | 1.02454i | −1.11866 | − | 0.0407539i | ||||
\(633\) | −3.75106 | − | 35.6890i | −0.149091 | − | 1.41851i | ||||
\(634\) | 30.0484 | − | 36.1993i | 1.19338 | − | 1.43766i | ||||
\(635\) | −14.6974 | + | 22.6320i | −0.583248 | + | 0.898123i | ||||
\(636\) | 21.6988 | + | 13.2403i | 0.860415 | + | 0.525013i | ||||
\(637\) | 16.4664 | − | 4.81391i | 0.652424 | − | 0.190734i | ||||
\(638\) | 34.1477 | − | 18.3021i | 1.35192 | − | 0.724587i | ||||
\(639\) | −5.63489 | + | 21.0297i | −0.222913 | + | 0.831922i | ||||
\(640\) | −22.7318 | + | 4.06213i | −0.898555 | + | 0.160570i | ||||
\(641\) | 8.30543 | − | 7.47824i | 0.328045 | − | 0.295373i | −0.488606 | − | 0.872504i | \(-0.662495\pi\) |
0.816651 | + | 0.577131i | \(0.195828\pi\) | |||||||
\(642\) | −10.8974 | + | 23.6976i | −0.430086 | + | 0.935268i | ||||
\(643\) | −15.6468 | + | 19.3221i | −0.617048 | + | 0.761991i | −0.985871 | − | 0.167509i | \(-0.946428\pi\) |
0.368823 | + | 0.929500i | \(0.379761\pi\) | |||||||
\(644\) | −1.40144 | + | 2.04745i | −0.0552247 | + | 0.0806809i | ||||
\(645\) | −8.49868 | + | 16.6796i | −0.334635 | + | 0.656758i | ||||
\(646\) | 22.1333 | + | 22.6773i | 0.870824 | + | 0.892225i | ||||
\(647\) | −4.54117 | + | 43.2063i | −0.178532 | + | 1.69862i | 0.428180 | + | 0.903694i | \(0.359155\pi\) |
−0.606711 | + | 0.794922i | \(0.707512\pi\) | |||||||
\(648\) | −30.6548 | − | 4.35541i | −1.20423 | − | 0.171096i | ||||
\(649\) | 35.9106 | + | 19.1863i | 1.40962 | + | 0.753127i | ||||
\(650\) | 3.80949 | + | 1.89100i | 0.149421 | + | 0.0741710i | ||||
\(651\) | 13.4636 | − | 18.5311i | 0.527680 | − | 0.726289i | ||||
\(652\) | −11.8695 | − | 6.41538i | −0.464845 | − | 0.251246i | ||||
\(653\) | 21.9388 | − | 24.3655i | 0.858532 | − | 0.953497i | −0.140800 | − | 0.990038i | \(-0.544967\pi\) |
0.999332 | + | 0.0365413i | \(0.0116340\pi\) | |||||||
\(654\) | −49.2751 | + | 7.19244i | −1.92681 | + | 0.281247i | ||||
\(655\) | −10.9246 | − | 1.73029i | −0.426860 | − | 0.0676079i | ||||
\(656\) | 16.0396 | − | 14.5531i | 0.626243 | − | 0.568203i | ||||
\(657\) | −1.51712 | + | 28.9484i | −0.0591885 | + | 1.12938i | ||||
\(658\) | −26.6323 | + | 5.32385i | −1.03824 | + | 0.207545i | ||||
\(659\) | 9.51840 | + | 5.49545i | 0.370784 | + | 0.214072i | 0.673801 | − | 0.738913i | \(-0.264661\pi\) |
−0.303017 | + | 0.952985i | \(0.597994\pi\) | |||||||
\(660\) | −27.6880 | + | 12.6149i | −1.07775 | + | 0.491034i | ||||
\(661\) | −5.57150 | + | 20.7931i | −0.216706 | + | 0.808759i | 0.768852 | + | 0.639426i | \(0.220828\pi\) |
−0.985559 | + | 0.169333i | \(0.945839\pi\) | |||||||
\(662\) | 11.1117 | − | 16.6642i | 0.431870 | − | 0.647673i | ||||
\(663\) | 22.5898 | − | 36.5704i | 0.877313 | − | 1.42028i | ||||
\(664\) | 7.76068 | + | 16.7086i | 0.301173 | + | 0.648419i | ||||
\(665\) | −12.0509 | + | 4.62591i | −0.467314 | + | 0.179385i | ||||
\(666\) | −5.94882 | + | 14.9522i | −0.230512 | + | 0.579385i | ||||
\(667\) | −6.69431 | − | 1.42292i | −0.259205 | − | 0.0550957i | ||||
\(668\) | −3.04321 | + | 1.87286i | −0.117745 | + | 0.0724630i | ||||
\(669\) | −8.49904 | + | 22.1408i | −0.328592 | + | 0.856012i | ||||
\(670\) | 7.45881 | − | 2.32381i | 0.288159 | − | 0.0897765i | ||||
\(671\) | −9.06829 | + | 6.32269i | −0.350077 | + | 0.244085i | ||||
\(672\) | 18.0535 | + | 6.03269i | 0.696429 | + | 0.232716i | ||||
\(673\) | 13.7674 | + | 1.44701i | 0.530694 | + | 0.0557782i | 0.366086 | − | 0.930581i | \(-0.380698\pi\) |
0.164608 | + | 0.986359i | \(0.447364\pi\) | |||||||
\(674\) | −10.2647 | + | 17.2908i | −0.395381 | + | 0.666018i | ||||
\(675\) | 0.549984 | + | 1.69268i | 0.0211689 | + | 0.0651512i | ||||
\(676\) | 24.8905 | + | 7.51428i | 0.957326 | + | 0.289011i | ||||
\(677\) | −21.5052 | + | 15.6245i | −0.826513 | + | 0.600497i | −0.918571 | − | 0.395257i | \(-0.870656\pi\) |
0.0920578 | + | 0.995754i | \(0.470656\pi\) | |||||||
\(678\) | −3.12655 | − | 33.6743i | −0.120074 | − | 1.29325i | ||||
\(679\) | 0.147558 | + | 0.694204i | 0.00566274 | + | 0.0266411i | ||||
\(680\) | 26.2745 | − | 15.7334i | 1.00758 | − | 0.603348i | ||||
\(681\) | 28.5705 | − | 28.5705i | 1.09483 | − | 1.09483i | ||||
\(682\) | 5.98836 | − | 31.3621i | 0.229306 | − | 1.20092i | ||||
\(683\) | −3.72891 | − | 13.9165i | −0.142683 | − | 0.532499i | −0.999848 | − | 0.0174571i | \(-0.994443\pi\) |
0.857165 | − | 0.515042i | \(-0.172224\pi\) | |||||||
\(684\) | 16.8357 | − | 4.07580i | 0.643730 | − | 0.155842i | ||||
\(685\) | 26.7328 | + | 29.6898i | 1.02141 | + | 1.13439i | ||||
\(686\) | −19.1575 | − | 15.9023i | −0.731437 | − | 0.607153i | ||||
\(687\) | −36.4925 | + | 14.0081i | −1.39227 | + | 0.534444i | ||||
\(688\) | 11.4992 | − | 11.5871i | 0.438403 | − | 0.441753i | ||||
\(689\) | −1.52751 | − | 20.3338i | −0.0581936 | − | 0.774654i | ||||
\(690\) | 5.17431 | + | 1.45399i | 0.196983 | + | 0.0553526i | ||||
\(691\) | −3.91743 | + | 3.17227i | −0.149026 | + | 0.120679i | −0.700934 | − | 0.713226i | \(-0.747233\pi\) |
0.551908 | + | 0.833905i | \(0.313900\pi\) | |||||||
\(692\) | −5.90080 | − | 8.55081i | −0.224315 | − | 0.325053i | ||||
\(693\) | 10.1565 | + | 0.730628i | 0.385812 | + | 0.0277543i | ||||
\(694\) | −33.2440 | + | 36.0318i | −1.26192 | + | 1.36775i | ||||
\(695\) | 24.2880 | + | 9.32330i | 0.921297 | + | 0.353653i | ||||
\(696\) | 3.58352 | + | 52.3820i | 0.135833 | + | 1.98554i | ||||
\(697\) | −13.0400 | + | 25.5924i | −0.493925 | + | 0.969383i | ||||
\(698\) | 5.58859 | − | 0.815737i | 0.211531 | − | 0.0308761i | ||||
\(699\) | −20.0604 | − | 8.93147i | −0.758755 | − | 0.337819i | ||||
\(700\) | −0.330731 | − | 2.47573i | −0.0125005 | − | 0.0935739i | ||||
\(701\) | −35.9148 | − | 11.6694i | −1.35648 | − | 0.440748i | −0.461615 | − | 0.887080i | \(-0.652730\pi\) |
−0.894867 | + | 0.446332i | \(0.852730\pi\) | |||||||
\(702\) | 5.04095 | + | 9.64220i | 0.190259 | + | 0.363921i | ||||
\(703\) | 23.4392i | 0.884028i | ||||||||
\(704\) | 26.3511 | − | 3.10140i | 0.993145 | − | 0.116888i | ||||
\(705\) | 29.4164 | + | 50.9507i | 1.10789 | + | 1.91892i | ||||
\(706\) | −27.3379 | + | 13.5139i | −1.02888 | + | 0.508603i | ||||
\(707\) | 5.52678 | − | 2.81604i | 0.207856 | − | 0.105908i | ||||
\(708\) | −43.7103 | + | 33.6724i | −1.64273 | + | 1.26549i | ||||
\(709\) | 8.55131 | − | 10.5600i | 0.321151 | − | 0.396589i | −0.590846 | − | 0.806784i | \(-0.701206\pi\) |
0.911998 | + | 0.410195i | \(0.134539\pi\) | |||||||
\(710\) | 30.4387 | + | 3.57328i | 1.14234 | + | 0.134103i | ||||
\(711\) | 4.24171 | − | 19.9557i | 0.159076 | − | 0.748396i | ||||
\(712\) | −7.47246 | + | 2.56037i | −0.280042 | + | 0.0959540i | ||||
\(713\) | −4.38319 | + | 3.54944i | −0.164152 | + | 0.132928i | ||||
\(714\) | −25.2239 | + | 1.01509i | −0.943979 | + | 0.0379888i | ||||
\(715\) | 21.1761 | + | 12.1367i | 0.791940 | + | 0.453888i | ||||
\(716\) | −2.36127 | − | 29.2899i | −0.0882447 | − | 1.09461i | ||||
\(717\) | 22.1468 | + | 27.3490i | 0.827086 | + | 1.02137i | ||||
\(718\) | −42.5679 | + | 10.8540i | −1.58862 | + | 0.405068i | ||||
\(719\) | 27.9345 | + | 5.93765i | 1.04178 | + | 0.221437i | 0.696869 | − | 0.717199i | \(-0.254576\pi\) |
0.344910 | + | 0.938636i | \(0.387909\pi\) | |||||||
\(720\) | −0.0637271 | − | 16.7407i | −0.00237497 | − | 0.623889i | ||||
\(721\) | −0.622636 | − | 0.504200i | −0.0231882 | − | 0.0187774i | ||||
\(722\) | −1.33784 | + | 0.947399i | −0.0497891 | + | 0.0352585i | ||||
\(723\) | −7.89197 | − | 15.4889i | −0.293506 | − | 0.576037i | ||||
\(724\) | −11.8515 | + | 6.46409i | −0.440458 | + | 0.240236i | ||||
\(725\) | 5.96656 | − | 3.44479i | 0.221592 | − | 0.127936i | ||||
\(726\) | 32.6218 | − | 12.5715i | 1.21071 | − | 0.466574i | ||||
\(727\) | 29.7162 | 1.10211 | 0.551057 | − | 0.834468i | \(-0.314225\pi\) | ||||
0.551057 | + | 0.834468i | \(0.314225\pi\) | |||||||
\(728\) | −4.51775 | − | 14.5858i | −0.167439 | − | 0.540584i | ||||
\(729\) | 2.49085 | − | 7.66606i | 0.0922538 | − | 0.283928i | ||||
\(730\) | 40.6317 | − | 3.77252i | 1.50384 | − | 0.139627i | ||||
\(731\) | −8.80583 | + | 19.7782i | −0.325695 | + | 0.731524i | ||||
\(732\) | −2.75819 | − | 14.7254i | −0.101946 | − | 0.544266i | ||||
\(733\) | 4.53667 | + | 2.31155i | 0.167566 | + | 0.0853790i | 0.535762 | − | 0.844369i | \(-0.320024\pi\) |
−0.368196 | + | 0.929748i | \(0.620024\pi\) | |||||||
\(734\) | −50.7859 | − | 0.616484i | −1.87454 | − | 0.0227549i | ||||
\(735\) | −7.82147 | + | 20.3756i | −0.288499 | + | 0.751566i | ||||
\(736\) | −3.90943 | − | 2.58537i | −0.144103 | − | 0.0952981i | ||||
\(737\) | −8.71428 | + | 2.15421i | −0.320995 | + | 0.0793513i | ||||
\(738\) | 8.39101 | + | 13.2709i | 0.308877 | + | 0.488510i | ||||
\(739\) | 10.0993 | + | 12.4715i | 0.371507 | + | 0.458773i | 0.928275 | − | 0.371895i | \(-0.121292\pi\) |
−0.556768 | + | 0.830668i | \(0.687959\pi\) | |||||||
\(740\) | 22.0369 | + | 5.24625i | 0.810093 | + | 0.192856i | ||||
\(741\) | −25.9458 | − | 22.3200i | −0.953144 | − | 0.819946i | ||||
\(742\) | −9.39738 | + | 7.42281i | −0.344989 | + | 0.272500i | ||||
\(743\) | −7.18930 | − | 18.7288i | −0.263750 | − | 0.687092i | −0.999947 | − | 0.0103245i | \(-0.996714\pi\) |
0.736197 | − | 0.676768i | \(-0.236620\pi\) | |||||||
\(744\) | 35.4069 | + | 24.8718i | 1.29808 | + | 0.911845i | ||||
\(745\) | 35.2256 | − | 31.7173i | 1.29057 | − | 1.16203i | ||||
\(746\) | −5.00444 | − | 25.0345i | −0.183226 | − | 0.916578i | ||||
\(747\) | −12.9009 | + | 3.45678i | −0.472019 | + | 0.126477i | ||||
\(748\) | −31.2142 | + | 16.2452i | −1.14130 | + | 0.593985i | ||||
\(749\) | −8.68893 | − | 8.68893i | −0.317487 | − | 0.317487i | ||||
\(750\) | −33.9264 | + | 16.7708i | −1.23882 | + | 0.612383i | ||||
\(751\) | 13.5842 | − | 2.88741i | 0.495695 | − | 0.105363i | 0.0467207 | − | 0.998908i | \(-0.485123\pi\) |
0.448974 | + | 0.893545i | \(0.351790\pi\) | |||||||
\(752\) | −10.8578 | − | 50.1426i | −0.395943 | − | 1.82851i | ||||
\(753\) | −7.24968 | − | 9.97834i | −0.264193 | − | 0.363631i | ||||
\(754\) | 32.4524 | − | 26.8475i | 1.18185 | − | 0.977730i | ||||
\(755\) | −13.2069 | + | 4.29118i | −0.480649 | + | 0.156172i | ||||
\(756\) | 3.03830 | − | 5.62134i | 0.110502 | − | 0.204446i | ||||
\(757\) | 4.37650 | − | 41.6396i | 0.159066 | − | 1.51342i | −0.565809 | − | 0.824536i | \(-0.691436\pi\) |
0.724876 | − | 0.688880i | \(-0.241897\pi\) | |||||||
\(758\) | −9.68054 | − | 5.08142i | −0.351613 | − | 0.184566i | ||||
\(759\) | −5.83515 | − | 2.02227i | −0.211802 | − | 0.0734037i | ||||
\(760\) | −9.10035 | − | 22.6223i | −0.330105 | − | 0.820599i | ||||
\(761\) | −42.6148 | − | 16.3583i | −1.54479 | − | 0.592988i | −0.571100 | − | 0.820881i | \(-0.693483\pi\) |
−0.973686 | + | 0.227893i | \(0.926816\pi\) | |||||||
\(762\) | 20.5669 | + | 36.6429i | 0.745059 | + | 1.32743i | ||||
\(763\) | 4.87761 | − | 22.9473i | 0.176581 | − | 0.830750i | ||||
\(764\) | 17.5686 | + | 6.18377i | 0.635611 | + | 0.223721i | ||||
\(765\) | 7.95649 | + | 20.7274i | 0.287667 | + | 0.749399i | ||||
\(766\) | 26.0298 | − | 9.63104i | 0.940494 | − | 0.347984i | ||||
\(767\) | 42.3938 | + | 12.7219i | 1.53075 | + | 0.459361i | ||||
\(768\) | −10.8508 | + | 34.2811i | −0.391543 | + | 1.23701i | ||||
\(769\) | −7.69134 | − | 2.06089i | −0.277357 | − | 0.0743175i | 0.117459 | − | 0.993078i | \(-0.462525\pi\) |
−0.394816 | + | 0.918760i | \(0.629192\pi\) | |||||||
\(770\) | −1.04729 | − | 14.2958i | −0.0377417 | − | 0.515186i | ||||
\(771\) | −10.6758 | + | 18.4910i | −0.384480 | + | 0.665939i | ||||
\(772\) | −5.71054 | + | 1.38248i | −0.205527 | + | 0.0497565i | ||||
\(773\) | 4.31055 | + | 0.225906i | 0.155040 | + | 0.00812528i | 0.129698 | − | 0.991554i | \(-0.458599\pi\) |
0.0253417 | + | 0.999679i | \(0.491933\pi\) | |||||||
\(774\) | 6.83956 | + | 9.65823i | 0.245843 | + | 0.347158i | ||||
\(775\) | 0.888202 | − | 5.60789i | 0.0319052 | − | 0.201441i | ||||
\(776\) | −1.30676 | + | 0.299615i | −0.0469101 | + | 0.0107556i | ||||
\(777\) | −13.8766 | − | 12.4945i | −0.497819 | − | 0.448239i | ||||
\(778\) | 4.88988 | − | 8.23697i | 0.175311 | − | 0.295310i | ||||
\(779\) | 18.5021 | + | 13.4426i | 0.662906 | + | 0.481629i | ||||
\(780\) | −26.7919 | + | 19.3978i | −0.959304 | + | 0.694552i | ||||
\(781\) | −34.6674 | − | 6.18432i | −1.24050 | − | 0.221293i | ||||
\(782\) | 6.06399 | + | 1.36608i | 0.216848 | + | 0.0488508i | ||||
\(783\) | 17.5290 | + | 1.84237i | 0.626434 | + | 0.0658409i | ||||
\(784\) | 11.9212 | − | 14.8365i | 0.425756 | − | 0.529876i | ||||
\(785\) | −3.28489 | − | 1.67373i | −0.117243 | − | 0.0597381i | ||||
\(786\) | −10.2919 | + | 13.8099i | −0.367100 | + | 0.492584i | ||||
\(787\) | 42.0243 | + | 34.0306i | 1.49800 | + | 1.21306i | 0.916828 | + | 0.399283i | \(0.130741\pi\) |
0.581177 | + | 0.813777i | \(0.302592\pi\) | |||||||
\(788\) | −9.98068 | + | 24.2258i | −0.355547 | + | 0.863009i | ||||
\(789\) | −7.54291 | − | 8.37725i | −0.268535 | − | 0.298238i | ||||
\(790\) | −28.6594 | − | 1.85104i | −1.01965 | − | 0.0658572i | ||||
\(791\) | 15.3896 | + | 4.12364i | 0.547192 | + | 0.146620i | ||||
\(792\) | −1.07410 | + | 19.2055i | −0.0381665 | + | 0.682437i | ||||
\(793\) | −8.30356 | + | 8.68799i | −0.294868 | + | 0.308520i | ||||
\(794\) | −9.46522 | + | 14.1949i | −0.335908 | + | 0.503759i | ||||
\(795\) | 21.7562 | + | 14.1286i | 0.771611 | + | 0.501090i | ||||
\(796\) | −10.1633 | − | 7.76787i | −0.360228 | − | 0.275325i | ||||
\(797\) | −6.73884 | + | 0.708280i | −0.238702 | + | 0.0250886i | −0.223124 | − | 0.974790i | \(-0.571625\pi\) |
−0.0155779 | + | 0.999879i | \(0.504959\pi\) | |||||||
\(798\) | −2.34350 | + | 19.9629i | −0.0829590 | + | 0.706678i | ||||
\(799\) | 37.0579 | + | 57.0642i | 1.31101 | + | 2.01879i | ||||
\(800\) | 4.66619 | − | 0.699251i | 0.164975 | − | 0.0247223i | ||||
\(801\) | −0.895813 | − | 5.65594i | −0.0316520 | − | 0.199843i | ||||
\(802\) | −29.3070 | − | 15.3836i | −1.03487 | − | 0.543213i | ||||
\(803\) | −46.8618 | + | 1.54260i | −1.65372 | + | 0.0544373i | ||||
\(804\) | 2.19413 | − | 11.9655i | 0.0773810 | − | 0.421991i | ||||
\(805\) | −1.48832 | + | 2.04850i | −0.0524565 | + | 0.0722002i | ||||
\(806\) | −0.363860 | − | 34.7082i | −0.0128164 | − | 1.22255i | ||||
\(807\) | −13.2170 | + | 4.29446i | −0.465260 | + | 0.151172i | ||||
\(808\) | 5.48538 | + | 10.3541i | 0.192975 | + | 0.364257i | ||||
\(809\) | 44.4823 | + | 19.8048i | 1.56391 | + | 0.696299i | 0.992258 | − | 0.124195i | \(-0.0396348\pi\) |
0.571655 | + | 0.820494i | \(0.306301\pi\) | |||||||
\(810\) | −31.1469 | − | 5.32151i | −1.09439 | − | 0.186979i | ||||
\(811\) | 11.7320 | − | 5.97776i | 0.411967 | − | 0.209908i | −0.235709 | − | 0.971824i | \(-0.575741\pi\) |
0.647676 | + | 0.761916i | \(0.275741\pi\) | |||||||
\(812\) | −23.7301 | − | 6.98008i | −0.832763 | − | 0.244953i | ||||
\(813\) | −24.7696 | + | 6.63699i | −0.868707 | + | 0.232769i | ||||
\(814\) | −24.9162 | − | 7.52742i | −0.873311 | − | 0.263836i | ||||
\(815\) | −11.9245 | − | 6.88463i | −0.417698 | − | 0.241158i | ||||
\(816\) | −2.67702 | − | 47.6121i | −0.0937146 | − | 1.66676i | ||||
\(817\) | 14.4571 | + | 9.38854i | 0.505789 | + | 0.328463i | ||||
\(818\) | −11.2799 | − | 30.4861i | −0.394391 | − | 1.06592i | ||||
\(819\) | 10.9801 | − | 1.40583i | 0.383677 | − | 0.0491237i | ||||
\(820\) | 16.7795 | − | 14.3864i | 0.585966 | − | 0.502394i | ||||
\(821\) | −0.137503 | − | 2.62372i | −0.00479889 | − | 0.0915683i | 0.995180 | − | 0.0980651i | \(-0.0312653\pi\) |
−0.999979 | + | 0.00649675i | \(0.997932\pi\) | |||||||
\(822\) | 60.2813 | − | 15.3706i | 2.10255 | − | 0.536111i | ||||
\(823\) | 43.0084 | − | 19.1486i | 1.49918 | − | 0.667478i | 0.517096 | − | 0.855927i | \(-0.327013\pi\) |
0.982083 | + | 0.188450i | \(0.0603462\pi\) | |||||||
\(824\) | 0.933577 | − | 1.19122i | 0.0325227 | − | 0.0414980i | ||||
\(825\) | 5.72753 | − | 2.41768i | 0.199407 | − | 0.0841729i | ||||
\(826\) | −7.73195 | − | 24.8175i | −0.269029 | − | 0.863513i | ||||
\(827\) | −19.5292 | + | 3.09312i | −0.679096 | + | 0.107558i | −0.486448 | − | 0.873710i | \(-0.661708\pi\) |
−0.192648 | + | 0.981268i | \(0.561708\pi\) | |||||||
\(828\) | 2.33426 | − | 2.46919i | 0.0811212 | − | 0.0858104i | ||||
\(829\) | 4.23801 | + | 3.81592i | 0.147192 | + | 0.132533i | 0.739437 | − | 0.673225i | \(-0.235092\pi\) |
−0.592245 | + | 0.805758i | \(0.701758\pi\) | |||||||
\(830\) | 7.43807 | + | 17.2673i | 0.258179 | + | 0.599355i | ||||
\(831\) | −14.9917 | + | 10.8921i | −0.520057 | + | 0.377843i | ||||
\(832\) | 27.4134 | − | 8.97241i | 0.950389 | − | 0.311062i | ||||
\(833\) | −7.79999 | + | 24.0059i | −0.270254 | + | 0.831755i | ||||
\(834\) | 30.4320 | − | 26.7394i | 1.05377 | − | 0.925910i | ||||
\(835\) | −3.15812 | + | 1.82334i | −0.109291 | + | 0.0630994i | ||||
\(836\) | 8.88760 | + | 26.5708i | 0.307384 | + | 0.918970i | ||||
\(837\) | 10.2710 | − | 10.2710i | 0.355018 | − | 0.355018i | ||||
\(838\) | −0.488716 | + | 1.44423i | −0.0168824 | + | 0.0498899i | ||||
\(839\) | 42.7602 | + | 2.24097i | 1.47625 | + | 0.0773668i | 0.773374 | − | 0.633950i | \(-0.218567\pi\) |
0.702872 | + | 0.711316i | \(0.251901\pi\) | |||||||
\(840\) | 18.2440 | + | 6.67145i | 0.629477 | + | 0.230187i | ||||
\(841\) | −4.10052 | − | 39.0138i | −0.141397 | − | 1.34530i | ||||
\(842\) | 12.4870 | + | 4.96804i | 0.430330 | + | 0.171210i | ||||
\(843\) | 0.235867 | + | 4.50061i | 0.00812369 | + | 0.155009i | ||||
\(844\) | −7.39622 | + | 31.0679i | −0.254588 | + | 1.06940i | ||||
\(845\) | 25.1761 | + | 8.37877i | 0.866084 | + | 0.288239i | ||||
\(846\) | 37.1640 | − | 1.49560i | 1.27772 | − | 0.0514198i | ||||
\(847\) | 0.221559 | + | 16.4687i | 0.00761286 | + | 0.565870i | ||||
\(848\) | −14.3032 | − | 17.5261i | −0.491174 | − | 0.601850i | ||||
\(849\) | 5.00351 | + | 11.2381i | 0.171720 | + | 0.385689i | ||||
\(850\) | −5.45672 | + | 3.06273i | −0.187164 | + | 0.105051i | ||||
\(851\) | 2.50417 | + | 3.85608i | 0.0858417 | + | 0.132185i | ||||
\(852\) | 26.9555 | − | 39.3809i | 0.923481 | − | 1.34917i | ||||
\(853\) | −54.7105 | − | 8.66529i | −1.87325 | − | 0.296694i | −0.886977 | − | 0.461813i | \(-0.847199\pi\) |
−0.986274 | + | 0.165120i | \(0.947199\pi\) | |||||||
\(854\) | 6.95712 | + | 1.18864i | 0.238068 | + | 0.0406743i | ||||
\(855\) | 17.2913 | − | 3.67539i | 0.591352 | − | 0.125696i | ||||
\(856\) | 16.1499 | − | 16.6733i | 0.551992 | − | 0.569882i | ||||
\(857\) | 0.134341i | 0.00458900i | 0.999997 | + | 0.00229450i | \(0.000730362\pi\) | ||||
−0.999997 | + | 0.00229450i | \(0.999270\pi\) | |||||||
\(858\) | 32.0588 | − | 20.4127i | 1.09447 | − | 0.696879i | ||||
\(859\) | − | 36.3597i | − | 1.24058i | −0.784374 | − | 0.620288i | \(-0.787016\pi\) | ||
0.784374 | − | 0.620288i | \(-0.212984\pi\) | |||||||
\(860\) | 12.0627 | − | 11.4908i | 0.411334 | − | 0.391832i | ||||
\(861\) | −17.8210 | + | 3.78798i | −0.607339 | + | 0.129094i | ||||
\(862\) | −4.17513 | + | 24.4372i | −0.142206 | + | 0.832333i | ||||
\(863\) | 41.9588 | + | 6.64562i | 1.42829 | + | 0.226220i | 0.822212 | − | 0.569182i | \(-0.192740\pi\) |
0.606083 | + | 0.795401i | \(0.292740\pi\) | |||||||
\(864\) | 10.7091 | + | 5.56941i | 0.364330 | + | 0.189475i | ||||
\(865\) | −5.77453 | − | 8.89200i | −0.196340 | − | 0.302337i | ||||
\(866\) | 0.966702 | + | 1.72232i | 0.0328499 | + | 0.0585269i | ||||
\(867\) | 10.1843 | + | 22.8744i | 0.345878 | + | 0.776854i | ||||
\(868\) | −16.7776 | + | 11.5780i | −0.569468 | + | 0.392983i | ||||
\(869\) | 32.7446 | + | 4.08704i | 1.11078 | + | 0.138643i | ||||
\(870\) | 2.15458 | + | 53.5390i | 0.0730472 | + | 1.81514i | ||||
\(871\) | −8.82286 | + | 4.16981i | −0.298951 | + | 0.141289i | ||||
\(872\) | 43.4897 | + | 8.52164i | 1.47275 | + | 0.288579i | ||||
\(873\) | −0.0508674 | − | 0.970608i | −0.00172160 | − | 0.0328501i | ||||
\(874\) | 1.82961 | − | 4.59867i | 0.0618875 | − | 0.155552i | ||||
\(875\) | −1.86366 | − | 17.7316i | −0.0630033 | − | 0.599437i | ||||
\(876\) | 24.2044 | − | 58.7506i | 0.817791 | − | 1.98500i | ||||
\(877\) | −15.0449 | − | 0.788469i | −0.508030 | − | 0.0266247i | −0.203400 | − | 0.979096i | \(-0.565199\pi\) |
−0.304630 | + | 0.952471i | \(0.598533\pi\) | |||||||
\(878\) | 13.9169 | + | 4.70937i | 0.469671 | + | 0.158934i | ||||
\(879\) | −9.87735 | + | 9.87735i | −0.333155 | + | 0.333155i | ||||
\(880\) | 26.9703 | − | 2.40870i | 0.909170 | − | 0.0811972i | ||||
\(881\) | −39.9639 | + | 23.0732i | −1.34642 | + | 0.777355i | −0.987740 | − | 0.156106i | \(-0.950106\pi\) |
−0.358678 | + | 0.933461i | \(0.616772\pi\) | |||||||
\(882\) | 9.10746 | + | 10.3652i | 0.306664 | + | 0.349013i | ||||
\(883\) | 5.62174 | − | 17.3019i | 0.189187 | − | 0.582257i | −0.810809 | − | 0.585311i | \(-0.800972\pi\) |
0.999995 | + | 0.00305445i | \(0.000972264\pi\) | |||||||
\(884\) | −29.7687 | + | 24.0248i | −1.00123 | + | 0.808041i | ||||
\(885\) | −45.5549 | + | 33.0976i | −1.53131 | + | 1.11256i | ||||
\(886\) | 17.4088 | − | 7.49905i | 0.584860 | − | 0.251935i | ||||
\(887\) | 1.51473 | + | 1.36387i | 0.0508596 | + | 0.0457942i | 0.694169 | − | 0.719813i | \(-0.255772\pi\) |
−0.643309 | + | 0.765607i | \(0.722439\pi\) | |||||||
\(888\) | 23.1816 | − | 26.5863i | 0.777925 | − | 0.892179i | ||||
\(889\) | −19.5524 | + | 3.09680i | −0.655768 | + | 0.103863i | ||||
\(890\) | −7.69622 | + | 2.39777i | −0.257978 | + | 0.0803735i | ||||
\(891\) | 35.3599 | + | 8.23802i | 1.18460 | + | 0.275984i | ||||
\(892\) | 13.6766 | − | 16.0751i | 0.457926 | − | 0.538234i | ||||
\(893\) | 49.4920 | − | 22.0352i | 1.65619 | − | 0.737381i | ||||
\(894\) | −18.2365 | − | 71.5212i | −0.609921 | − | 2.39203i | ||||
\(895\) | −1.56946 | − | 29.9470i | −0.0524612 | − | 1.00102i | ||||
\(896\) | −13.3727 | − | 10.3985i | −0.446752 | − | 0.347390i | ||||
\(897\) | −6.65303 | − | 0.899986i | −0.222138 | − | 0.0300496i | ||||
\(898\) | 55.2134 | − | 20.4290i | 1.84250 | − | 0.681725i | ||||
\(899\) | −47.1568 | − | 30.6240i | −1.57277 | − | 1.02137i | ||||
\(900\) | −0.0830322 | + | 3.41959i | −0.00276774 | + | 0.113986i | ||||
\(901\) | 25.9821 | + | 15.0007i | 0.865588 | + | 0.499747i | ||||
\(902\) | −20.2315 | + | 15.3509i | −0.673634 | + | 0.511129i | ||||
\(903\) | −13.2647 | + | 3.55427i | −0.441422 | + | 0.118279i | ||||
\(904\) | −7.32518 | + | 29.1920i | −0.243632 | + | 0.970913i | ||||
\(905\) | −12.2753 | + | 6.25457i | −0.408044 | + | 0.207909i | ||||
\(906\) | −3.64161 | + | 21.3145i | −0.120985 | + | 0.708125i | ||||
\(907\) | 32.6591 | + | 14.5408i | 1.08443 | + | 0.482819i | 0.869562 | − | 0.493824i | \(-0.164401\pi\) |
0.214867 | + | 0.976643i | \(0.431068\pi\) | |||||||
\(908\) | −32.4256 | + | 15.5421i | −1.07608 | + | 0.515782i | ||||
\(909\) | −8.07894 | + | 2.62501i | −0.267962 | + | 0.0870660i | ||||
\(910\) | −4.19070 | − | 15.0088i | −0.138920 | − | 0.497536i | ||||
\(911\) | −3.47385 | + | 4.78134i | −0.115094 | + | 0.158413i | −0.862677 | − | 0.505755i | \(-0.831214\pi\) |
0.747583 | + | 0.664168i | \(0.231214\pi\) | |||||||
\(912\) | −37.7763 | − | 3.82512i | −1.25090 | − | 0.126662i | ||||
\(913\) | −7.34798 | − | 20.3147i | −0.243183 | − | 0.672320i | ||||
\(914\) | −26.8569 | + | 51.1646i | −0.888346 | + | 1.69238i | ||||
\(915\) | −2.39173 | − | 15.1008i | −0.0790683 | − | 0.499217i | ||||
\(916\) | 34.7730 | − | 0.976798i | 1.14893 | − | 0.0322743i | ||||
\(917\) | −4.41921 | − | 6.80498i | −0.145935 | − | 0.224720i | ||||
\(918\) | −15.8992 | − | 1.86646i | −0.524753 | − | 0.0616023i | ||||
\(919\) | 25.2052 | − | 2.64918i | 0.831444 | − | 0.0873883i | 0.320764 | − | 0.947159i | \(-0.396060\pi\) |
0.510680 | + | 0.859771i | \(0.329394\pi\) | |||||||
\(920\) | −3.91402 | − | 2.74944i | −0.129042 | − | 0.0906462i | ||||
\(921\) | −10.5569 | − | 6.85570i | −0.347860 | − | 0.225903i | ||||
\(922\) | −13.4698 | − | 8.98170i | −0.443604 | − | 0.295797i | ||||
\(923\) | −38.2726 | + | 0.865924i | −1.25976 | + | 0.0285022i | ||||
\(924\) | −20.4681 | − | 8.90216i | −0.673353 | − | 0.292860i | ||||
\(925\) | −4.47085 | − | 1.19796i | −0.147000 | − | 0.0393887i | ||||
\(926\) | 1.28892 | − | 19.9560i | 0.0423564 | − | 0.655796i | ||||
\(927\) | 0.734174 | + | 0.815383i | 0.0241134 | + | 0.0267807i | ||||
\(928\) | 12.4692 | − | 45.0315i | 0.409321 | − | 1.47823i | ||||
\(929\) | −30.3497 | − | 24.5767i | −0.995741 | − | 0.806335i | −0.0146520 | − | 0.999893i | \(-0.504664\pi\) |
−0.981089 | + | 0.193558i | \(0.937997\pi\) | |||||||
\(930\) | 35.4067 | + | 26.3870i | 1.16103 | + | 0.865265i | ||||
\(931\) | 17.9071 | + | 9.12411i | 0.586881 | + | 0.299031i | ||||
\(932\) | 14.2010 | + | 13.4249i | 0.465168 | + | 0.439748i | ||||
\(933\) | 32.9827 | + | 3.46662i | 1.07981 | + | 0.113492i | ||||
\(934\) | 8.47205 | − | 37.6073i | 0.277214 | − | 1.23055i | ||||
\(935\) | −32.3080 | + | 15.6777i | −1.05658 | + | 0.512716i | ||||
\(936\) | 2.98604 | + | 20.6969i | 0.0976017 | + | 0.676499i | ||||
\(937\) | −14.4775 | − | 10.5185i | −0.472960 | − | 0.343626i | 0.325634 | − | 0.945496i | \(-0.394422\pi\) |
−0.798594 | + | 0.601870i | \(0.794422\pi\) | |||||||
\(938\) | 4.92810 | + | 2.92557i | 0.160908 | + | 0.0955231i | ||||
\(939\) | −24.8406 | − | 22.3666i | −0.810644 | − | 0.729907i | ||||
\(940\) | −9.63944 | − | 51.4629i | −0.314404 | − | 1.67854i | ||||
\(941\) | 6.92883 | − | 43.7469i | 0.225873 | − | 1.42611i | −0.570497 | − | 0.821299i | \(-0.693250\pi\) |
0.796371 | − | 0.604809i | \(-0.206750\pi\) | |||||||
\(942\) | −4.68496 | + | 3.31769i | −0.152644 | + | 0.108096i | ||||
\(943\) | 4.48000 | + | 0.234787i | 0.145889 | + | 0.00764571i | ||||
\(944\) | 46.6423 | − | 15.3516i | 1.51808 | − | 0.499651i | ||||
\(945\) | 3.26053 | − | 5.64741i | 0.106065 | − | 0.183710i | ||||
\(946\) | −14.6230 | + | 12.3529i | −0.475433 | + | 0.401629i | ||||
\(947\) | −12.3367 | − | 3.30561i | −0.400889 | − | 0.107418i | 0.0527406 | − | 0.998608i | \(-0.483204\pi\) |
−0.453629 | + | 0.891190i | \(0.649871\pi\) | |||||||
\(948\) | −23.2933 | + | 38.1741i | −0.756531 | + | 1.23984i | ||||
\(949\) | −49.6055 | + | 11.7227i | −1.61026 | + | 0.380534i | ||||
\(950\) | 1.72892 | + | 4.67273i | 0.0560934 | + | 0.151603i | ||||
\(951\) | −26.7918 | − | 69.7950i | −0.868783 | − | 2.26326i | ||||
\(952\) | 21.4744 | + | 6.60081i | 0.695989 | + | 0.213934i | ||||
\(953\) | −10.0054 | + | 47.0719i | −0.324108 | + | 1.52481i | 0.450737 | + | 0.892657i | \(0.351161\pi\) |
−0.774845 | + | 0.632151i | \(0.782172\pi\) | |||||||
\(954\) | 14.3013 | − | 8.02702i | 0.463023 | − | 0.259884i | ||||
\(955\) | 17.7450 | + | 6.81168i | 0.574215 | + | 0.220421i | ||||
\(956\) | −10.5105 | − | 29.5022i | −0.339934 | − | 0.954168i | ||||
\(957\) | 1.19763 | − | 61.5553i | 0.0387138 | − | 1.98980i | ||||
\(958\) | 22.9558 | − | 43.7328i | 0.741669 | − | 1.41294i | ||||
\(959\) | −3.06350 | + | 29.1472i | −0.0989255 | + | 0.941213i | ||||
\(960\) | −12.0515 | + | 34.6601i | −0.388960 | + | 1.11865i | ||||
\(961\) | −14.5875 | + | 4.73978i | −0.470566 | + | 0.152896i | ||||
\(962\) | −28.1703 | − | 2.66256i | −0.908247 | − | 0.0858445i | ||||
\(963\) | 9.89138 | + | 13.6143i | 0.318745 | + | 0.438715i | ||||
\(964\) | 2.04848 | + | 15.3342i | 0.0659771 | + | 0.493880i | ||||
\(965\) | −5.86509 | + | 1.24666i | −0.188804 | + | 0.0401315i | ||||
\(966\) | 1.74722 | + | 3.53454i | 0.0562160 | + | 0.113722i | ||||
\(967\) | −16.3362 | − | 16.3362i | −0.525336 | − | 0.525336i | 0.393842 | − | 0.919178i | \(-0.371146\pi\) |
−0.919178 | + | 0.393842i | \(0.871146\pi\) | |||||||
\(968\) | −31.0993 | + | 0.914505i | −0.999568 | + | 0.0293933i | ||||
\(969\) | 48.6400 | − | 13.0331i | 1.56254 | − | 0.418682i | ||||
\(970\) | −1.34165 | + | 0.268199i | −0.0430778 | + | 0.00861134i | ||||
\(971\) | −8.39184 | + | 7.55604i | −0.269307 | + | 0.242485i | −0.792708 | − | 0.609601i | \(-0.791330\pi\) |
0.523401 | + | 0.852086i | \(0.324663\pi\) | |||||||
\(972\) | −22.1039 | + | 28.9201i | −0.708982 | + | 0.927613i | ||||
\(973\) | 6.83942 | + | 17.8173i | 0.219262 | + | 0.571196i | ||||
\(974\) | 18.2362 | + | 23.0873i | 0.584327 | + | 0.739766i | ||||
\(975\) | 5.58343 | − | 3.80820i | 0.178813 | − | 0.121960i | ||||
\(976\) | −2.03555 | + | 13.1764i | −0.0651563 | + | 0.421765i | ||||
\(977\) | −13.4043 | − | 16.5529i | −0.428841 | − | 0.529575i | 0.516225 | − | 0.856453i | \(-0.327337\pi\) |
−0.945067 | + | 0.326878i | \(0.894003\pi\) | |||||||
\(978\) | −18.1221 | + | 11.4583i | −0.579480 | + | 0.366396i | ||||
\(979\) | 8.99165 | − | 2.22278i | 0.287374 | − | 0.0710402i | ||||
\(980\) | 12.5863 | − | 14.7935i | 0.402053 | − | 0.472562i | ||||
\(981\) | −11.5137 | + | 29.9941i | −0.367603 | + | 0.957639i | ||||
\(982\) | 0.539565 | − | 44.4493i | 0.0172182 | − | 1.41843i | ||||
\(983\) | 4.43448 | + | 2.25948i | 0.141438 | + | 0.0720662i | 0.523277 | − | 0.852163i | \(-0.324709\pi\) |
−0.381839 | + | 0.924229i | \(0.624709\pi\) | |||||||
\(984\) | −7.69147 | − | 33.5462i | −0.245195 | − | 1.06941i | ||||
\(985\) | −10.8758 | + | 24.4274i | −0.346531 | + | 0.778321i | ||||
\(986\) | 5.72898 | + | 61.7035i | 0.182448 | + | 1.96504i | ||||
\(987\) | −13.3368 | + | 41.0465i | −0.424515 | + | 1.30652i | ||||
\(988\) | 15.1856 | + | 26.4030i | 0.483118 | + | 0.839993i | ||||
\(989\) | 3.38143 | 0.107523 | ||||||||
\(990\) | −1.64607 | + | 19.5612i | −0.0523155 | + | 0.621697i | ||||
\(991\) | 26.3593 | − | 15.2185i | 0.837330 | − | 0.483433i | −0.0190259 | − | 0.999819i | \(-0.506056\pi\) |
0.856356 | + | 0.516386i | \(0.172723\pi\) | |||||||
\(992\) | −22.3738 | − | 31.3407i | −0.710368 | − | 0.995067i | ||||
\(993\) | −14.4498 | − | 28.3593i | −0.458550 | − | 0.899956i | ||||
\(994\) | 12.9932 | + | 18.3479i | 0.412120 | + | 0.581960i | ||||
\(995\) | −10.1452 | − | 8.21545i | −0.321626 | − | 0.260447i | ||||
\(996\) | 29.1901 | + | 2.24141i | 0.924922 | + | 0.0710219i | ||||
\(997\) | −40.5774 | − | 8.62498i | −1.28510 | − | 0.273156i | −0.485789 | − | 0.874076i | \(-0.661468\pi\) |
−0.799309 | + | 0.600920i | \(0.794801\pi\) | |||||||
\(998\) | 11.0516 | + | 43.3427i | 0.349832 | + | 1.37199i | ||||
\(999\) | −7.45189 | − | 9.20231i | −0.235767 | − | 0.291148i |
(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 | 572.2.bs.a.15.19 | ✓ | 1280 | |
4.3 | odd | 2 | inner | 572.2.bs.a.15.64 | yes | 1280 | |
11.3 | even | 5 | inner | 572.2.bs.a.223.51 | yes | 1280 | |
13.7 | odd | 12 | inner | 572.2.bs.a.59.32 | yes | 1280 | |
44.3 | odd | 10 | inner | 572.2.bs.a.223.32 | yes | 1280 | |
52.7 | even | 12 | inner | 572.2.bs.a.59.51 | yes | 1280 | |
143.124 | odd | 60 | inner | 572.2.bs.a.267.64 | yes | 1280 | |
572.267 | even | 60 | inner | 572.2.bs.a.267.19 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bs.a.15.19 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
572.2.bs.a.15.64 | yes | 1280 | 4.3 | odd | 2 | inner | |
572.2.bs.a.59.32 | yes | 1280 | 13.7 | odd | 12 | inner | |
572.2.bs.a.59.51 | yes | 1280 | 52.7 | even | 12 | inner | |
572.2.bs.a.223.32 | yes | 1280 | 44.3 | odd | 10 | inner | |
572.2.bs.a.223.51 | yes | 1280 | 11.3 | even | 5 | inner | |
572.2.bs.a.267.19 | yes | 1280 | 572.267 | even | 60 | inner | |
572.2.bs.a.267.64 | yes | 1280 | 143.124 | odd | 60 | inner |