Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(5,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.u (of order \(45\), degree \(24\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 251.8 | ||
Character | \(\chi\) | \(=\) | 418.251 |
Dual form | 418.2.u.b.5.8 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.615661 | + | 0.788011i | −0.435338 | + | 0.557208i | ||||
\(3\) | 1.20057 | + | 1.15938i | 0.693150 | + | 0.669367i | 0.955293 | − | 0.295662i | \(-0.0955403\pi\) |
−0.262143 | + | 0.965029i | \(0.584429\pi\) | |||||||
\(4\) | −0.241922 | − | 0.970296i | −0.120961 | − | 0.485148i | ||||
\(5\) | −2.39453 | − | 1.49627i | −1.07087 | − | 0.669152i | −0.124491 | − | 0.992221i | \(-0.539730\pi\) |
−0.946375 | + | 0.323069i | \(0.895285\pi\) | |||||||
\(6\) | −1.65275 | + | 0.232278i | −0.674731 | + | 0.0948273i | ||||
\(7\) | 2.61504 | − | 1.16429i | 0.988394 | − | 0.440061i | 0.152113 | − | 0.988363i | \(-0.451392\pi\) |
0.836281 | + | 0.548302i | \(0.184725\pi\) | |||||||
\(8\) | 0.913545 | + | 0.406737i | 0.322987 | + | 0.143803i | ||||
\(9\) | −0.00748509 | − | 0.214345i | −0.00249503 | − | 0.0714483i | ||||
\(10\) | 2.65330 | − | 0.965720i | 0.839046 | − | 0.305388i | ||||
\(11\) | −0.230878 | + | 3.30858i | −0.0696122 | + | 0.997574i | ||||
\(12\) | 0.834495 | − | 1.44539i | 0.240898 | − | 0.417247i | ||||
\(13\) | 5.51978 | + | 2.93492i | 1.53091 | + | 0.814000i | 0.999453 | − | 0.0330848i | \(-0.0105331\pi\) |
0.531458 | + | 0.847084i | \(0.321644\pi\) | |||||||
\(14\) | −0.692507 | + | 2.77749i | −0.185080 | + | 0.742316i | ||||
\(15\) | −1.14006 | − | 4.57254i | −0.294363 | − | 1.18062i | ||||
\(16\) | −0.882948 | + | 0.469472i | −0.220737 | + | 0.117368i | ||||
\(17\) | 0.0973339 | − | 2.78728i | 0.0236069 | − | 0.676015i | −0.928693 | − | 0.370850i | \(-0.879066\pi\) |
0.952300 | − | 0.305164i | \(-0.0987114\pi\) | |||||||
\(18\) | 0.173514 | + | 0.126066i | 0.0408977 | + | 0.0297140i | ||||
\(19\) | 3.77584 | + | 2.17785i | 0.866237 | + | 0.499633i | ||||
\(20\) | −0.872534 | + | 2.68538i | −0.195104 | + | 0.600470i | ||||
\(21\) | 4.48940 | + | 1.63401i | 0.979667 | + | 0.356570i | ||||
\(22\) | −2.46505 | − | 2.21890i | −0.525551 | − | 0.473071i | ||||
\(23\) | 6.61248 | + | 5.54853i | 1.37880 | + | 1.15695i | 0.969655 | + | 0.244479i | \(0.0786168\pi\) |
0.409143 | + | 0.912470i | \(0.365828\pi\) | |||||||
\(24\) | 0.625214 | + | 1.54746i | 0.127621 | + | 0.315874i | ||||
\(25\) | 1.30310 | + | 2.67175i | 0.260620 | + | 0.534350i | ||||
\(26\) | −5.71106 | + | 2.54273i | −1.12003 | + | 0.498670i | ||||
\(27\) | 3.58984 | − | 3.98692i | 0.690864 | − | 0.767282i | ||||
\(28\) | −1.76234 | − | 2.25570i | −0.333052 | − | 0.426287i | ||||
\(29\) | −4.42511 | − | 1.26888i | −0.821723 | − | 0.235625i | −0.161671 | − | 0.986845i | \(-0.551688\pi\) |
−0.660053 | + | 0.751219i | \(0.729466\pi\) | |||||||
\(30\) | 4.30510 | + | 1.91675i | 0.786000 | + | 0.349950i | ||||
\(31\) | −0.618020 | − | 0.686381i | −0.111000 | − | 0.123278i | 0.685084 | − | 0.728464i | \(-0.259765\pi\) |
−0.796084 | + | 0.605186i | \(0.793099\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | −4.11308 | + | 3.70451i | −0.715995 | + | 0.644872i | ||||
\(34\) | 2.13648 | + | 1.79272i | 0.366404 | + | 0.307449i | ||||
\(35\) | −8.00390 | − | 1.12487i | −1.35291 | − | 0.190138i | ||||
\(36\) | −0.206167 | + | 0.0591175i | −0.0343612 | + | 0.00985292i | ||||
\(37\) | −2.96494 | − | 2.15416i | −0.487434 | − | 0.354141i | 0.316763 | − | 0.948505i | \(-0.397404\pi\) |
−0.804197 | + | 0.594364i | \(0.797404\pi\) | |||||||
\(38\) | −4.04081 | + | 1.63458i | −0.655506 | + | 0.265165i | ||||
\(39\) | 3.22420 | + | 9.92308i | 0.516286 | + | 1.58896i | ||||
\(40\) | −1.57892 | − | 2.34085i | −0.249650 | − | 0.370121i | ||||
\(41\) | −8.19481 | − | 7.91363i | −1.27981 | − | 1.23590i | −0.957219 | − | 0.289364i | \(-0.906556\pi\) |
−0.322595 | − | 0.946537i | \(-0.604555\pi\) | |||||||
\(42\) | −4.05157 | + | 2.53170i | −0.625170 | + | 0.390650i | ||||
\(43\) | 3.86050 | − | 3.23934i | 0.588721 | − | 0.493995i | −0.299077 | − | 0.954229i | \(-0.596679\pi\) |
0.887798 | + | 0.460234i | \(0.152234\pi\) | |||||||
\(44\) | 3.26615 | − | 0.576398i | 0.492391 | − | 0.0868953i | ||||
\(45\) | −0.302794 | + | 0.524455i | −0.0451379 | + | 0.0781812i | ||||
\(46\) | −8.44335 | + | 1.79469i | −1.24490 | + | 0.264613i | ||||
\(47\) | −3.79034 | + | 5.61941i | −0.552878 | + | 0.819675i | −0.997089 | − | 0.0762468i | \(-0.975706\pi\) |
0.444211 | + | 0.895922i | \(0.353484\pi\) | |||||||
\(48\) | −1.60434 | − | 0.460036i | −0.231566 | − | 0.0664004i | ||||
\(49\) | 0.798964 | − | 0.887340i | 0.114138 | − | 0.126763i | ||||
\(50\) | −2.90763 | − | 0.618037i | −0.411201 | − | 0.0874036i | ||||
\(51\) | 3.34836 | − | 3.23348i | 0.468865 | − | 0.452777i | ||||
\(52\) | 1.51238 | − | 6.06584i | 0.209730 | − | 0.841180i | ||||
\(53\) | 8.09265 | − | 5.05685i | 1.11161 | − | 0.694611i | 0.155564 | − | 0.987826i | \(-0.450281\pi\) |
0.956047 | + | 0.293214i | \(0.0947250\pi\) | |||||||
\(54\) | 0.931609 | + | 5.28342i | 0.126776 | + | 0.718982i | ||||
\(55\) | 5.50337 | − | 7.57704i | 0.742074 | − | 1.02169i | ||||
\(56\) | 2.86252 | 0.382521 | ||||||||
\(57\) | 2.00821 | + | 6.99228i | 0.265994 | + | 0.926151i | ||||
\(58\) | 3.72426 | − | 2.70584i | 0.489020 | − | 0.355294i | ||||
\(59\) | 5.54524 | + | 8.22116i | 0.721929 | + | 1.07030i | 0.994144 | + | 0.108067i | \(0.0344662\pi\) |
−0.272215 | + | 0.962237i | \(0.587756\pi\) | |||||||
\(60\) | −4.16091 | + | 2.21239i | −0.537171 | + | 0.285619i | ||||
\(61\) | −2.68635 | + | 6.64896i | −0.343952 | + | 0.851312i | 0.651727 | + | 0.758454i | \(0.274045\pi\) |
−0.995679 | + | 0.0928585i | \(0.970400\pi\) | |||||||
\(62\) | 0.921366 | − | 0.0644282i | 0.117014 | − | 0.00818239i | ||||
\(63\) | −0.269134 | − | 0.551807i | −0.0339077 | − | 0.0695211i | ||||
\(64\) | 0.669131 | + | 0.743145i | 0.0836413 | + | 0.0928931i | ||||
\(65\) | −8.82585 | − | 15.2868i | −1.09471 | − | 1.89610i | ||||
\(66\) | −0.386929 | − | 5.52187i | −0.0476277 | − | 0.679695i | ||||
\(67\) | −0.957233 | + | 0.348404i | −0.116945 | + | 0.0425644i | −0.399830 | − | 0.916589i | \(-0.630931\pi\) |
0.282885 | + | 0.959154i | \(0.408709\pi\) | |||||||
\(68\) | −2.72803 | + | 0.579861i | −0.330823 | + | 0.0703185i | ||||
\(69\) | 1.50591 | + | 14.3278i | 0.181290 | + | 1.72486i | ||||
\(70\) | 5.81410 | − | 5.61461i | 0.694918 | − | 0.671075i | ||||
\(71\) | −1.96324 | − | 1.22677i | −0.232994 | − | 0.145591i | 0.408399 | − | 0.912804i | \(-0.366087\pi\) |
−0.641392 | + | 0.767213i | \(0.721643\pi\) | |||||||
\(72\) | 0.0803440 | − | 0.198858i | 0.00946863 | − | 0.0234357i | ||||
\(73\) | 0.623780 | − | 1.27894i | 0.0730079 | − | 0.149688i | −0.859168 | − | 0.511693i | \(-0.829019\pi\) |
0.932176 | + | 0.362004i | \(0.117907\pi\) | |||||||
\(74\) | 3.52290 | − | 1.01018i | 0.409529 | − | 0.117430i | ||||
\(75\) | −1.53310 | + | 4.71840i | −0.177027 | + | 0.544834i | ||||
\(76\) | 1.19970 | − | 4.19055i | 0.137615 | − | 0.480689i | ||||
\(77\) | 3.24840 | + | 8.92089i | 0.370189 | + | 1.01663i | ||||
\(78\) | −9.80451 | − | 3.56855i | −1.11014 | − | 0.404059i | ||||
\(79\) | −12.1730 | − | 1.71081i | −1.36957 | − | 0.192481i | −0.584253 | − | 0.811572i | \(-0.698612\pi\) |
−0.785319 | + | 0.619091i | \(0.787501\pi\) | |||||||
\(80\) | 2.81670 | + | 0.196963i | 0.314917 | + | 0.0220211i | ||||
\(81\) | 8.29033 | − | 0.579716i | 0.921148 | − | 0.0644129i | ||||
\(82\) | 11.2813 | − | 1.58548i | 1.24581 | − | 0.175087i | ||||
\(83\) | −4.27619 | − | 0.908932i | −0.469373 | − | 0.0997682i | −0.0328477 | − | 0.999460i | \(-0.510458\pi\) |
−0.436525 | + | 0.899692i | \(0.643791\pi\) | |||||||
\(84\) | 0.499387 | − | 4.75135i | 0.0544875 | − | 0.518414i | ||||
\(85\) | −4.40359 | + | 6.52859i | −0.477636 | + | 0.708125i | ||||
\(86\) | 0.175877 | + | 5.03645i | 0.0189653 | + | 0.543095i | ||||
\(87\) | −3.84155 | − | 6.65376i | −0.411857 | − | 0.713358i | ||||
\(88\) | −1.55664 | + | 2.92863i | −0.165938 | + | 0.312193i | ||||
\(89\) | 2.08231 | − | 11.8094i | 0.220725 | − | 1.25179i | −0.649967 | − | 0.759962i | \(-0.725217\pi\) |
0.870692 | − | 0.491829i | \(-0.163672\pi\) | |||||||
\(90\) | −0.226858 | − | 0.561492i | −0.0239129 | − | 0.0591865i | ||||
\(91\) | 17.8516 | + | 1.24830i | 1.87135 | + | 0.130858i | ||||
\(92\) | 3.78401 | − | 7.75838i | 0.394511 | − | 0.808867i | ||||
\(93\) | 0.0537978 | − | 1.54057i | 0.00557857 | − | 0.159749i | ||||
\(94\) | −2.09459 | − | 6.44648i | −0.216040 | − | 0.664904i | ||||
\(95\) | −5.78271 | − | 10.8646i | −0.593294 | − | 1.11468i | ||||
\(96\) | 1.35024 | − | 0.981007i | 0.137808 | − | 0.100124i | ||||
\(97\) | −0.0681272 | + | 0.0871988i | −0.00691727 | + | 0.00885370i | −0.791457 | − | 0.611225i | \(-0.790677\pi\) |
0.784540 | + | 0.620079i | \(0.212899\pi\) | |||||||
\(98\) | 0.207342 | + | 1.17589i | 0.0209447 | + | 0.118783i | ||||
\(99\) | 0.710906 | + | 0.0247225i | 0.0714487 | + | 0.00248470i | ||||
\(100\) | 2.27714 | − | 1.91074i | 0.227714 | − | 0.191074i | ||||
\(101\) | 11.8622 | + | 6.30722i | 1.18033 | + | 0.627592i | 0.939357 | − | 0.342940i | \(-0.111423\pi\) |
0.240972 | + | 0.970532i | \(0.422534\pi\) | |||||||
\(102\) | 0.486556 | + | 4.62927i | 0.0481763 | + | 0.458367i | ||||
\(103\) | −0.0980939 | + | 0.933301i | −0.00966548 | + | 0.0919609i | −0.998291 | − | 0.0584362i | \(-0.981389\pi\) |
0.988626 | + | 0.150397i | \(0.0480552\pi\) | |||||||
\(104\) | 3.84883 | + | 4.92628i | 0.377409 | + | 0.483061i | ||||
\(105\) | −8.30509 | − | 10.6300i | −0.810493 | − | 1.03738i | ||||
\(106\) | −0.997481 | + | 9.49040i | −0.0968839 | + | 0.921789i | ||||
\(107\) | −2.02145 | − | 19.2328i | −0.195421 | − | 1.85930i | −0.451011 | − | 0.892518i | \(-0.648937\pi\) |
0.255591 | − | 0.966785i | \(-0.417730\pi\) | |||||||
\(108\) | −4.73695 | − | 2.51868i | −0.455813 | − | 0.242360i | ||||
\(109\) | −5.05028 | + | 4.23769i | −0.483729 | + | 0.405897i | −0.851772 | − | 0.523912i | \(-0.824472\pi\) |
0.368044 | + | 0.929808i | \(0.380028\pi\) | |||||||
\(110\) | 2.58258 | + | 9.00160i | 0.246239 | + | 0.858269i | ||||
\(111\) | −1.06214 | − | 6.02370i | −0.100814 | − | 0.571745i | ||||
\(112\) | −1.76234 | + | 2.25570i | −0.166526 | + | 0.213143i | ||||
\(113\) | −11.9332 | + | 8.66999i | −1.12258 | + | 0.815604i | −0.984599 | − | 0.174831i | \(-0.944062\pi\) |
−0.137984 | + | 0.990434i | \(0.544062\pi\) | |||||||
\(114\) | −6.74637 | − | 2.72239i | −0.631856 | − | 0.254975i | ||||
\(115\) | −7.53169 | − | 23.1802i | −0.702334 | − | 2.16156i | ||||
\(116\) | −0.160658 | + | 4.60064i | −0.0149167 | + | 0.427159i | ||||
\(117\) | 0.587769 | − | 1.20510i | 0.0543393 | − | 0.111412i | ||||
\(118\) | −9.89235 | − | 0.691741i | −0.910665 | − | 0.0636799i | ||||
\(119\) | −2.99068 | − | 7.40218i | −0.274155 | − | 0.678557i | ||||
\(120\) | 0.818321 | − | 4.64093i | 0.0747021 | − | 0.423657i | ||||
\(121\) | −10.8934 | − | 1.52775i | −0.990308 | − | 0.138887i | ||||
\(122\) | −3.58557 | − | 6.21039i | −0.324622 | − | 0.562262i | ||||
\(123\) | −0.663555 | − | 19.0017i | −0.0598308 | − | 1.71333i | ||||
\(124\) | −0.516480 | + | 0.765712i | −0.0463812 | + | 0.0687630i | ||||
\(125\) | −0.598378 | + | 5.69319i | −0.0535206 | + | 0.509214i | ||||
\(126\) | 0.600525 | + | 0.127646i | 0.0534990 | + | 0.0113716i | ||||
\(127\) | −14.4027 | + | 2.02417i | −1.27803 | + | 0.179616i | −0.745335 | − | 0.666691i | \(-0.767710\pi\) |
−0.532697 | + | 0.846306i | \(0.678821\pi\) | |||||||
\(128\) | −0.997564 | + | 0.0697565i | −0.0881730 | + | 0.00616566i | ||||
\(129\) | 8.39042 | + | 0.586715i | 0.738735 | + | 0.0516574i | ||||
\(130\) | 17.4799 | + | 2.45664i | 1.53309 | + | 0.215462i | ||||
\(131\) | −16.2600 | − | 5.91817i | −1.42065 | − | 0.517073i | −0.486411 | − | 0.873730i | \(-0.661694\pi\) |
−0.934235 | + | 0.356657i | \(0.883916\pi\) | |||||||
\(132\) | 4.58951 | + | 3.09470i | 0.399466 | + | 0.269359i | ||||
\(133\) | 12.4096 | + | 1.29899i | 1.07605 | + | 0.112637i | ||||
\(134\) | 0.314785 | − | 0.968809i | 0.0271933 | − | 0.0836924i | ||||
\(135\) | −14.5615 | + | 4.17543i | −1.25325 | + | 0.359364i | ||||
\(136\) | 1.22261 | − | 2.50672i | 0.104838 | − | 0.214949i | ||||
\(137\) | −4.43149 | + | 10.9683i | −0.378608 | + | 0.937087i | 0.610782 | + | 0.791799i | \(0.290855\pi\) |
−0.989389 | + | 0.145288i | \(0.953589\pi\) | |||||||
\(138\) | −12.2176 | − | 7.63438i | −1.04003 | − | 0.649882i | ||||
\(139\) | 5.98937 | − | 5.78386i | 0.508011 | − | 0.490581i | −0.395904 | − | 0.918292i | \(-0.629569\pi\) |
0.903916 | + | 0.427711i | \(0.140680\pi\) | |||||||
\(140\) | 0.844857 | + | 8.03828i | 0.0714034 | + | 0.679358i | ||||
\(141\) | −11.0656 | + | 2.35206i | −0.931891 | + | 0.198079i | ||||
\(142\) | 2.17540 | − | 0.791780i | 0.182555 | − | 0.0664447i | ||||
\(143\) | −10.9848 | + | 17.5850i | −0.918595 | + | 1.47053i | ||||
\(144\) | 0.107238 | + | 0.185741i | 0.00893649 | + | 0.0154784i | ||||
\(145\) | 8.69748 | + | 9.65953i | 0.722287 | + | 0.802181i | ||||
\(146\) | 0.623780 | + | 1.27894i | 0.0516244 | + | 0.105846i | ||||
\(147\) | 1.98797 | − | 0.139013i | 0.163965 | − | 0.0114656i | ||||
\(148\) | −1.37288 | + | 3.39801i | −0.112850 | + | 0.279315i | ||||
\(149\) | −5.33553 | + | 2.83695i | −0.437103 | + | 0.232412i | −0.673414 | − | 0.739266i | \(-0.735173\pi\) |
0.236311 | + | 0.971678i | \(0.424062\pi\) | |||||||
\(150\) | −2.77428 | − | 4.11304i | −0.226519 | − | 0.335828i | ||||
\(151\) | 11.8549 | − | 8.61309i | 0.964738 | − | 0.700923i | 0.0104917 | − | 0.999945i | \(-0.496660\pi\) |
0.954246 | + | 0.299022i | \(0.0966603\pi\) | |||||||
\(152\) | 2.56359 | + | 3.52534i | 0.207935 | + | 0.285943i | ||||
\(153\) | −0.598168 | −0.0483590 | ||||||||
\(154\) | −9.02967 | − | 2.93247i | −0.727632 | − | 0.236306i | ||||
\(155\) | 0.452857 | + | 2.56828i | 0.0363744 | + | 0.206289i | ||||
\(156\) | 8.84832 | − | 5.52904i | 0.708432 | − | 0.442678i | ||||
\(157\) | 1.19629 | − | 4.79804i | 0.0954740 | − | 0.382925i | −0.903481 | − | 0.428628i | \(-0.858997\pi\) |
0.998955 | + | 0.0457026i | \(0.0145527\pi\) | |||||||
\(158\) | 8.84260 | − | 8.53920i | 0.703479 | − | 0.679342i | ||||
\(159\) | 15.5786 | + | 3.31133i | 1.23546 | + | 0.262606i | ||||
\(160\) | −1.88934 | + | 2.09833i | −0.149366 | + | 0.165887i | ||||
\(161\) | 23.7521 | + | 6.81079i | 1.87192 | + | 0.536766i | ||||
\(162\) | −4.64721 | + | 6.88978i | −0.365120 | + | 0.541312i | ||||
\(163\) | −12.3516 | + | 2.62542i | −0.967455 | + | 0.205639i | −0.664436 | − | 0.747345i | \(-0.731328\pi\) |
−0.303019 | + | 0.952984i | \(0.597995\pi\) | |||||||
\(164\) | −5.69606 | + | 9.86587i | −0.444788 | + | 0.770395i | ||||
\(165\) | 15.3918 | − | 2.71629i | 1.19825 | − | 0.211463i | ||||
\(166\) | 3.34893 | − | 2.81009i | 0.259928 | − | 0.218105i | ||||
\(167\) | −8.43168 | + | 5.26870i | −0.652463 | + | 0.407704i | −0.815372 | − | 0.578937i | \(-0.803468\pi\) |
0.162910 | + | 0.986641i | \(0.447912\pi\) | |||||||
\(168\) | 3.43666 | + | 3.31874i | 0.265144 | + | 0.256047i | ||||
\(169\) | 14.5847 | + | 21.6227i | 1.12190 | + | 1.66328i | ||||
\(170\) | −2.43348 | − | 7.48947i | −0.186639 | − | 0.574416i | ||||
\(171\) | 0.438549 | − | 0.825634i | 0.0335367 | − | 0.0631378i | ||||
\(172\) | −4.07706 | − | 2.96216i | −0.310873 | − | 0.225862i | ||||
\(173\) | −0.210275 | + | 0.0602955i | −0.0159869 | + | 0.00458418i | −0.283621 | − | 0.958936i | \(-0.591536\pi\) |
0.267634 | + | 0.963521i | \(0.413758\pi\) | |||||||
\(174\) | 7.60833 | + | 1.06928i | 0.576786 | + | 0.0810620i | ||||
\(175\) | 6.51836 | + | 5.46955i | 0.492741 | + | 0.413459i | ||||
\(176\) | −1.34943 | − | 3.02969i | −0.101717 | − | 0.228372i | ||||
\(177\) | −2.87397 | + | 16.2991i | −0.216021 | + | 1.22512i | ||||
\(178\) | 8.02392 | + | 8.91146i | 0.601418 | + | 0.667942i | ||||
\(179\) | 5.79586 | + | 2.58048i | 0.433203 | + | 0.192874i | 0.611740 | − | 0.791059i | \(-0.290470\pi\) |
−0.178537 | + | 0.983933i | \(0.557137\pi\) | |||||||
\(180\) | 0.582129 | + | 0.166923i | 0.0433893 | + | 0.0124417i | ||||
\(181\) | −9.95346 | − | 12.7398i | −0.739835 | − | 0.946945i | 0.259991 | − | 0.965611i | \(-0.416280\pi\) |
−0.999826 | + | 0.0186659i | \(0.994058\pi\) | |||||||
\(182\) | −11.9742 | + | 13.2987i | −0.887587 | + | 0.985765i | ||||
\(183\) | −10.9338 | + | 4.86805i | −0.808251 | + | 0.359856i | ||||
\(184\) | 3.78401 | + | 7.75838i | 0.278961 | + | 0.571955i | ||||
\(185\) | 3.87645 | + | 9.59454i | 0.285002 | + | 0.705405i | ||||
\(186\) | 1.18086 | + | 0.990860i | 0.0865850 | + | 0.0726534i | ||||
\(187\) | 9.19946 | + | 0.965558i | 0.672731 | + | 0.0706086i | ||||
\(188\) | 6.36946 | + | 2.31829i | 0.464540 | + | 0.169079i | ||||
\(189\) | 4.74564 | − | 14.6056i | 0.345195 | − | 1.06240i | ||||
\(190\) | 12.1216 | + | 2.13207i | 0.879394 | + | 0.154677i | ||||
\(191\) | 11.3365 | + | 8.23642i | 0.820277 | + | 0.595966i | 0.916792 | − | 0.399365i | \(-0.130769\pi\) |
−0.0965147 | + | 0.995332i | \(0.530769\pi\) | |||||||
\(192\) | −0.0582469 | + | 1.66797i | −0.00420361 | + | 0.120376i | ||||
\(193\) | 20.4903 | − | 10.8949i | 1.47492 | − | 0.784231i | 0.479298 | − | 0.877652i | \(-0.340891\pi\) |
0.995627 | + | 0.0934206i | \(0.0297801\pi\) | |||||||
\(194\) | −0.0267703 | − | 0.107370i | −0.00192200 | − | 0.00770871i | ||||
\(195\) | 7.12714 | − | 28.5854i | 0.510385 | − | 2.04704i | ||||
\(196\) | −1.05427 | − | 0.560565i | −0.0753049 | − | 0.0400403i | ||||
\(197\) | −5.25904 | + | 9.10893i | −0.374691 | + | 0.648984i | −0.990281 | − | 0.139083i | \(-0.955585\pi\) |
0.615590 | + | 0.788067i | \(0.288918\pi\) | |||||||
\(198\) | −0.457159 | + | 0.544981i | −0.0324889 | + | 0.0387301i | ||||
\(199\) | −7.86659 | + | 2.86320i | −0.557648 | + | 0.202967i | −0.605441 | − | 0.795890i | \(-0.707003\pi\) |
0.0477934 | + | 0.998857i | \(0.484781\pi\) | |||||||
\(200\) | 0.103742 | + | 2.97078i | 0.00733566 | + | 0.210066i | ||||
\(201\) | −1.55316 | − | 0.691510i | −0.109551 | − | 0.0487754i | ||||
\(202\) | −12.2732 | + | 5.46440i | −0.863542 | + | 0.384474i | ||||
\(203\) | −13.0492 | + | 1.83395i | −0.915876 | + | 0.128718i | ||||
\(204\) | −3.94747 | − | 2.46665i | −0.276378 | − | 0.172700i | ||||
\(205\) | 7.78179 | + | 31.2111i | 0.543504 | + | 2.17987i | ||||
\(206\) | −0.675059 | − | 0.651897i | −0.0470336 | − | 0.0454198i | ||||
\(207\) | 1.13981 | − | 1.45888i | 0.0792219 | − | 0.101399i | ||||
\(208\) | −6.25153 | −0.433466 | ||||||||
\(209\) | −8.07735 | + | 11.9898i | −0.558722 | + | 0.829355i | ||||
\(210\) | 13.4897 | 0.930877 | ||||||||
\(211\) | 4.21967 | − | 5.40093i | 0.290494 | − | 0.371816i | −0.620520 | − | 0.784191i | \(-0.713078\pi\) |
0.911014 | + | 0.412375i | \(0.135301\pi\) | |||||||
\(212\) | −6.86443 | − | 6.62890i | −0.471451 | − | 0.455275i | ||||
\(213\) | −0.934720 | − | 3.74896i | −0.0640460 | − | 0.256874i | ||||
\(214\) | 16.4002 | + | 10.2480i | 1.12109 | + | 0.700536i | ||||
\(215\) | −14.0910 | + | 1.98036i | −0.960999 | + | 0.135060i | ||||
\(216\) | 4.90110 | − | 2.18211i | 0.333478 | − | 0.148474i | ||||
\(217\) | −2.41530 | − | 1.07536i | −0.163961 | − | 0.0730002i | ||||
\(218\) | −0.230081 | − | 6.58865i | −0.0155830 | − | 0.446240i | ||||
\(219\) | 2.23166 | − | 0.812259i | 0.150802 | − | 0.0548874i | ||||
\(220\) | −8.68335 | − | 3.50684i | −0.585431 | − | 0.236431i | ||||
\(221\) | 8.71770 | − | 15.0995i | 0.586416 | − | 1.01570i | ||||
\(222\) | 5.40066 | + | 2.87158i | 0.362469 | + | 0.192728i | ||||
\(223\) | −3.63607 | + | 14.5835i | −0.243489 | + | 0.976582i | 0.716733 | + | 0.697347i | \(0.245636\pi\) |
−0.960223 | + | 0.279235i | \(0.909919\pi\) | |||||||
\(224\) | −0.692507 | − | 2.77749i | −0.0462701 | − | 0.185579i | ||||
\(225\) | 0.562922 | − | 0.299311i | 0.0375281 | − | 0.0199541i | ||||
\(226\) | 0.514777 | − | 14.7413i | 0.0342424 | − | 0.980575i | ||||
\(227\) | 16.8623 | + | 12.2512i | 1.11919 | + | 0.813141i | 0.984086 | − | 0.177691i | \(-0.0568626\pi\) |
0.135106 | + | 0.990831i | \(0.456863\pi\) | |||||||
\(228\) | 6.29875 | − | 3.64015i | 0.417145 | − | 0.241075i | ||||
\(229\) | −2.43847 | + | 7.50483i | −0.161139 | + | 0.495933i | −0.998731 | − | 0.0503621i | \(-0.983962\pi\) |
0.837592 | + | 0.546296i | \(0.183962\pi\) | |||||||
\(230\) | 22.9032 | + | 8.33608i | 1.51019 | + | 0.549665i | ||||
\(231\) | −6.44274 | + | 14.4763i | −0.423901 | + | 0.952469i | ||||
\(232\) | −3.52644 | − | 2.95904i | −0.231522 | − | 0.194270i | ||||
\(233\) | −6.77653 | − | 16.7725i | −0.443945 | − | 1.09880i | −0.968851 | − | 0.247643i | \(-0.920344\pi\) |
0.524906 | − | 0.851160i | \(-0.324100\pi\) | |||||||
\(234\) | 0.587769 | + | 1.20510i | 0.0384237 | + | 0.0787802i | ||||
\(235\) | 17.4842 | − | 7.78448i | 1.14055 | − | 0.507804i | ||||
\(236\) | 6.63544 | − | 7.36940i | 0.431930 | − | 0.479707i | ||||
\(237\) | −12.6311 | − | 16.1671i | −0.820478 | − | 1.05016i | ||||
\(238\) | 7.67424 | + | 2.20055i | 0.497447 | + | 0.142641i | ||||
\(239\) | −11.5792 | − | 5.15539i | −0.748996 | − | 0.333474i | −0.00350808 | − | 0.999994i | \(-0.501117\pi\) |
−0.745488 | + | 0.666519i | \(0.767783\pi\) | |||||||
\(240\) | 3.15329 | + | 3.50209i | 0.203544 | + | 0.226059i | ||||
\(241\) | −0.993270 | + | 5.63312i | −0.0639822 | + | 0.362861i | 0.935960 | + | 0.352106i | \(0.114534\pi\) |
−0.999942 | + | 0.0107545i | \(0.996577\pi\) | |||||||
\(242\) | 7.91053 | − | 7.64353i | 0.508508 | − | 0.491345i | ||||
\(243\) | −1.70408 | − | 1.42989i | −0.109317 | − | 0.0917277i | ||||
\(244\) | 7.10135 | + | 0.998029i | 0.454617 | + | 0.0638923i | ||||
\(245\) | −3.24084 | + | 0.929297i | −0.207050 | + | 0.0593706i | ||||
\(246\) | 15.3821 | + | 11.1758i | 0.980727 | + | 0.712540i | ||||
\(247\) | 14.4500 | + | 23.1030i | 0.919431 | + | 1.47001i | ||||
\(248\) | −0.285413 | − | 0.878411i | −0.0181237 | − | 0.0557792i | ||||
\(249\) | −4.08007 | − | 6.04895i | −0.258564 | − | 0.383337i | ||||
\(250\) | −4.11789 | − | 3.97660i | −0.260438 | − | 0.251502i | ||||
\(251\) | 15.3260 | − | 9.57673i | 0.967367 | − | 0.604478i | 0.0484064 | − | 0.998828i | \(-0.484586\pi\) |
0.918960 | + | 0.394350i | \(0.129030\pi\) | |||||||
\(252\) | −0.470306 | + | 0.394634i | −0.0296265 | + | 0.0248596i | ||||
\(253\) | −19.8844 | + | 20.5969i | −1.25012 | + | 1.29492i | ||||
\(254\) | 7.27211 | − | 12.5957i | 0.456293 | − | 0.790323i | ||||
\(255\) | −12.8559 | + | 2.73261i | −0.805068 | + | 0.171123i | ||||
\(256\) | 0.559193 | − | 0.829038i | 0.0349496 | − | 0.0518148i | ||||
\(257\) | −14.2781 | − | 4.09418i | −0.890644 | − | 0.255388i | −0.201047 | − | 0.979582i | \(-0.564434\pi\) |
−0.689597 | + | 0.724194i | \(0.742212\pi\) | |||||||
\(258\) | −5.62800 | + | 6.25052i | −0.350384 | + | 0.389141i | ||||
\(259\) | −10.2615 | − | 2.18115i | −0.637620 | − | 0.135530i | ||||
\(260\) | −12.6976 | + | 12.2619i | −0.787470 | + | 0.760451i | ||||
\(261\) | −0.238856 | + | 0.957999i | −0.0147848 | + | 0.0592986i | ||||
\(262\) | 14.6743 | − | 9.16949i | 0.906579 | − | 0.566493i | ||||
\(263\) | 3.17460 | + | 18.0041i | 0.195754 | + | 1.11018i | 0.911340 | + | 0.411654i | \(0.135049\pi\) |
−0.715586 | + | 0.698525i | \(0.753840\pi\) | |||||||
\(264\) | −5.26424 | + | 1.71130i | −0.323992 | + | 0.105323i | ||||
\(265\) | −26.9445 | −1.65519 | ||||||||
\(266\) | −8.66376 | + | 8.97919i | −0.531209 | + | 0.550550i | ||||
\(267\) | 16.1915 | − | 11.7638i | 0.990903 | − | 0.719933i | ||||
\(268\) | 0.569631 | + | 0.844513i | 0.0347957 | + | 0.0515868i | ||||
\(269\) | −21.5562 | + | 11.4616i | −1.31430 | + | 0.698827i | −0.970701 | − | 0.240289i | \(-0.922758\pi\) |
−0.343601 | + | 0.939116i | \(0.611647\pi\) | |||||||
\(270\) | 5.67465 | − | 14.0452i | 0.345348 | − | 0.854766i | ||||
\(271\) | −14.8394 | + | 1.03767i | −0.901432 | + | 0.0630342i | −0.512946 | − | 0.858421i | \(-0.671446\pi\) |
−0.388485 | + | 0.921455i | \(0.627002\pi\) | |||||||
\(272\) | 1.22261 | + | 2.50672i | 0.0741315 | + | 0.151992i | ||||
\(273\) | 19.9848 | + | 22.1954i | 1.20954 | + | 1.34333i | ||||
\(274\) | −5.91486 | − | 10.2448i | −0.357330 | − | 0.618913i | ||||
\(275\) | −9.14054 | + | 3.69456i | −0.551196 | + | 0.222790i | ||||
\(276\) | 13.5379 | − | 4.92738i | 0.814883 | − | 0.296593i | ||||
\(277\) | 8.91990 | − | 1.89598i | 0.535945 | − | 0.113919i | 0.0680151 | − | 0.997684i | \(-0.478333\pi\) |
0.467930 | + | 0.883766i | \(0.345000\pi\) | |||||||
\(278\) | 0.870325 | + | 8.28059i | 0.0521986 | + | 0.496637i | ||||
\(279\) | −0.142496 | + | 0.137607i | −0.00853103 | + | 0.00823832i | ||||
\(280\) | −6.85439 | − | 4.28310i | −0.409628 | − | 0.255964i | ||||
\(281\) | 6.27332 | − | 15.5270i | 0.374235 | − | 0.926263i | −0.616113 | − | 0.787658i | \(-0.711294\pi\) |
0.990348 | − | 0.138605i | \(-0.0442620\pi\) | |||||||
\(282\) | 4.95921 | − | 10.1679i | 0.295316 | − | 0.605488i | ||||
\(283\) | −19.6738 | + | 5.64137i | −1.16949 | + | 0.335345i | −0.803517 | − | 0.595282i | \(-0.797040\pi\) |
−0.365970 | + | 0.930627i | \(0.619263\pi\) | |||||||
\(284\) | −0.715378 | + | 2.20171i | −0.0424498 | + | 0.130647i | ||||
\(285\) | 5.65361 | − | 19.7481i | 0.334891 | − | 1.16977i | ||||
\(286\) | −7.09426 | − | 19.4826i | −0.419492 | − | 1.15203i | ||||
\(287\) | −30.6436 | − | 11.1533i | −1.80883 | − | 0.658361i | ||||
\(288\) | −0.212388 | − | 0.0298492i | −0.0125151 | − | 0.00175888i | ||||
\(289\) | 9.19914 | + | 0.643266i | 0.541126 | + | 0.0378392i | ||||
\(290\) | −12.9665 | + | 0.906707i | −0.761420 | + | 0.0532437i | ||||
\(291\) | −0.182888 | + | 0.0257032i | −0.0107211 | + | 0.00150675i | ||||
\(292\) | −1.39185 | − | 0.295848i | −0.0814521 | − | 0.0173132i | ||||
\(293\) | −0.422798 | + | 4.02265i | −0.0247001 | + | 0.235006i | 0.975206 | + | 0.221299i | \(0.0710298\pi\) |
−0.999906 | + | 0.0137067i | \(0.995637\pi\) | |||||||
\(294\) | −1.11438 | + | 1.65213i | −0.0649917 | + | 0.0963542i | ||||
\(295\) | −0.977187 | − | 27.9830i | −0.0568940 | − | 1.62923i | ||||
\(296\) | −1.83244 | − | 3.17387i | −0.106508 | − | 0.184478i | ||||
\(297\) | 12.3622 | + | 12.7977i | 0.717328 | + | 0.742600i | ||||
\(298\) | 1.04933 | − | 5.95105i | 0.0607861 | − | 0.344735i | ||||
\(299\) | 20.2149 | + | 50.0338i | 1.16906 | + | 2.89353i | ||||
\(300\) | 4.94914 | + | 0.346077i | 0.285739 | + | 0.0199808i | ||||
\(301\) | 6.32383 | − | 12.9658i | 0.364500 | − | 0.747335i | ||||
\(302\) | −0.511398 | + | 14.6445i | −0.0294277 | + | 0.842698i | ||||
\(303\) | 6.92891 | + | 21.3250i | 0.398055 | + | 1.22509i | ||||
\(304\) | −4.35631 | − | 0.150278i | −0.249851 | − | 0.00861902i | ||||
\(305\) | 16.3812 | − | 11.9016i | 0.937984 | − | 0.681485i | ||||
\(306\) | 0.368269 | − | 0.471363i | 0.0210525 | − | 0.0269460i | ||||
\(307\) | −2.67931 | − | 15.1951i | −0.152916 | − | 0.867231i | −0.960666 | − | 0.277706i | \(-0.910426\pi\) |
0.807750 | − | 0.589525i | \(-0.200685\pi\) | |||||||
\(308\) | 7.87004 | − | 5.31007i | 0.448437 | − | 0.302569i | ||||
\(309\) | −1.19982 | + | 1.00677i | −0.0682552 | + | 0.0572729i | ||||
\(310\) | −2.30264 | − | 1.22434i | −0.130781 | − | 0.0695376i | ||||
\(311\) | −1.65237 | − | 15.7212i | −0.0936971 | − | 0.891468i | −0.935890 | − | 0.352292i | \(-0.885402\pi\) |
0.842193 | − | 0.539176i | \(-0.181264\pi\) | |||||||
\(312\) | −1.09062 | + | 10.3766i | −0.0617444 | + | 0.587458i | ||||
\(313\) | −3.35126 | − | 4.28941i | −0.189424 | − | 0.242452i | 0.683918 | − | 0.729559i | \(-0.260275\pi\) |
−0.873342 | + | 0.487107i | \(0.838052\pi\) | |||||||
\(314\) | 3.04440 | + | 3.89665i | 0.171805 | + | 0.219901i | ||||
\(315\) | −0.181201 | + | 1.72401i | −0.0102095 | + | 0.0971372i | ||||
\(316\) | 1.28493 | + | 12.2253i | 0.0722831 | + | 0.687728i | ||||
\(317\) | 13.2196 | + | 7.02901i | 0.742489 | + | 0.394788i | 0.797201 | − | 0.603714i | \(-0.206313\pi\) |
−0.0547121 | + | 0.998502i | \(0.517424\pi\) | |||||||
\(318\) | −12.2005 | + | 10.2374i | −0.684170 | + | 0.574087i | ||||
\(319\) | 5.21985 | − | 14.3479i | 0.292256 | − | 0.803327i | ||||
\(320\) | −0.490309 | − | 2.78068i | −0.0274091 | − | 0.155445i | ||||
\(321\) | 19.8712 | − | 25.4339i | 1.10910 | − | 1.41958i | ||||
\(322\) | −19.9902 | + | 14.5237i | −1.11401 | + | 0.809376i | ||||
\(323\) | 6.43779 | − | 10.3123i | 0.358208 | − | 0.573794i | ||||
\(324\) | −2.56811 | − | 7.90382i | −0.142673 | − | 0.439101i | ||||
\(325\) | −0.648546 | + | 18.5719i | −0.0359749 | + | 1.03019i | ||||
\(326\) | 5.53557 | − | 11.3496i | 0.306587 | − | 0.628596i | ||||
\(327\) | −10.9763 | − | 0.767537i | −0.606990 | − | 0.0424449i | ||||
\(328\) | −4.26756 | − | 10.5626i | −0.235637 | − | 0.583221i | ||||
\(329\) | −3.36927 | + | 19.1081i | −0.185754 | + | 1.05346i | ||||
\(330\) | −7.33569 | + | 13.8012i | −0.403816 | + | 0.759733i | ||||
\(331\) | −8.98838 | − | 15.5683i | −0.494046 | − | 0.855712i | 0.505931 | − | 0.862574i | \(-0.331149\pi\) |
−0.999976 | + | 0.00686173i | \(0.997816\pi\) | |||||||
\(332\) | 0.152571 | + | 4.36906i | 0.00837341 | + | 0.239783i | ||||
\(333\) | −0.439540 | + | 0.651645i | −0.0240866 | + | 0.0357099i | ||||
\(334\) | 1.03927 | − | 9.88798i | 0.0568663 | − | 0.541046i | ||||
\(335\) | 2.81343 | + | 0.598013i | 0.153714 | + | 0.0326729i | ||||
\(336\) | −4.73102 | + | 0.664902i | −0.258099 | + | 0.0362734i | ||||
\(337\) | −9.33368 | + | 0.652675i | −0.508438 | + | 0.0355535i | −0.321672 | − | 0.946851i | \(-0.604245\pi\) |
−0.186766 | + | 0.982404i | \(0.559801\pi\) | |||||||
\(338\) | −26.0182 | − | 1.81937i | −1.41520 | − | 0.0989605i | ||||
\(339\) | −24.3784 | − | 3.42617i | −1.32406 | − | 0.186084i | ||||
\(340\) | 7.39998 | + | 2.69337i | 0.401320 | + | 0.146069i | ||||
\(341\) | 2.41363 | − | 1.88630i | 0.130705 | − | 0.102149i | ||||
\(342\) | 0.380611 | + | 0.853892i | 0.0205811 | + | 0.0461732i | ||||
\(343\) | −5.13577 | + | 15.8063i | −0.277306 | + | 0.853459i | ||||
\(344\) | 4.84430 | − | 1.38908i | 0.261187 | − | 0.0748942i | ||||
\(345\) | 17.8322 | − | 36.5615i | 0.960055 | − | 1.96841i | ||||
\(346\) | 0.0819450 | − | 0.202821i | 0.00440539 | − | 0.0109037i | ||||
\(347\) | −1.23475 | − | 0.771557i | −0.0662848 | − | 0.0414194i | 0.496372 | − | 0.868110i | \(-0.334665\pi\) |
−0.562657 | + | 0.826691i | \(0.690221\pi\) | |||||||
\(348\) | −5.52676 | + | 5.33713i | −0.296265 | + | 0.286100i | ||||
\(349\) | −0.265528 | − | 2.52633i | −0.0142134 | − | 0.135231i | 0.985114 | − | 0.171902i | \(-0.0549913\pi\) |
−0.999327 | + | 0.0366709i | \(0.988325\pi\) | |||||||
\(350\) | −8.32316 | + | 1.76914i | −0.444892 | + | 0.0945647i | ||||
\(351\) | 31.5164 | − | 11.4710i | 1.68222 | − | 0.612278i | ||||
\(352\) | 3.21822 | + | 0.801899i | 0.171532 | + | 0.0427414i | ||||
\(353\) | 5.98650 | + | 10.3689i | 0.318629 | + | 0.551882i | 0.980202 | − | 0.197999i | \(-0.0634441\pi\) |
−0.661573 | + | 0.749881i | \(0.730111\pi\) | |||||||
\(354\) | −11.0745 | − | 12.2995i | −0.588602 | − | 0.653709i | ||||
\(355\) | 2.86546 | + | 5.87507i | 0.152083 | + | 0.311816i | ||||
\(356\) | −11.9623 | + | 0.836489i | −0.634003 | + | 0.0443338i | ||||
\(357\) | 4.99141 | − | 12.3542i | 0.264173 | − | 0.653852i | ||||
\(358\) | −5.60173 | + | 2.97849i | −0.296061 | + | 0.157418i | ||||
\(359\) | −11.7638 | − | 17.4406i | −0.620872 | − | 0.920480i | 0.379116 | − | 0.925349i | \(-0.376228\pi\) |
−0.999988 | + | 0.00486859i | \(0.998450\pi\) | |||||||
\(360\) | −0.489932 | + | 0.355956i | −0.0258217 | + | 0.0187605i | ||||
\(361\) | 9.51394 | + | 16.4464i | 0.500734 | + | 0.865601i | ||||
\(362\) | 16.1671 | 0.849724 | ||||||||
\(363\) | −11.3070 | − | 14.4637i | −0.593466 | − | 0.759149i | ||||
\(364\) | −3.10746 | − | 17.6233i | −0.162875 | − | 0.923711i | ||||
\(365\) | −3.40729 | + | 2.12911i | −0.178346 | + | 0.111443i | ||||
\(366\) | 2.89545 | − | 11.6130i | 0.151348 | − | 0.607023i | ||||
\(367\) | 6.72164 | − | 6.49101i | 0.350866 | − | 0.338828i | −0.498250 | − | 0.867033i | \(-0.666024\pi\) |
0.849117 | + | 0.528206i | \(0.177135\pi\) | |||||||
\(368\) | −8.44335 | − | 1.79469i | −0.440140 | − | 0.0935547i | ||||
\(369\) | −1.63491 | + | 1.81575i | −0.0851099 | + | 0.0945242i | ||||
\(370\) | −9.94718 | − | 2.85231i | −0.517129 | − | 0.148284i | ||||
\(371\) | 15.2750 | − | 22.6461i | 0.793037 | − | 1.17573i | ||||
\(372\) | −1.50782 | + | 0.320497i | −0.0781768 | + | 0.0166170i | ||||
\(373\) | 5.55655 | − | 9.62423i | 0.287707 | − | 0.498324i | −0.685555 | − | 0.728021i | \(-0.740440\pi\) |
0.973262 | + | 0.229697i | \(0.0737736\pi\) | |||||||
\(374\) | −6.42462 | + | 6.65482i | −0.332209 | + | 0.344112i | ||||
\(375\) | −7.31894 | + | 6.14132i | −0.377949 | + | 0.317137i | ||||
\(376\) | −5.74827 | + | 3.59192i | −0.296444 | + | 0.185239i | ||||
\(377\) | −20.7016 | − | 19.9913i | −1.06619 | − | 1.02960i | ||||
\(378\) | 8.58765 | + | 12.7317i | 0.441701 | + | 0.654848i | ||||
\(379\) | 3.49326 | + | 10.7512i | 0.179437 | + | 0.552250i | 0.999808 | − | 0.0195811i | \(-0.00623325\pi\) |
−0.820371 | + | 0.571831i | \(0.806233\pi\) | |||||||
\(380\) | −9.14291 | + | 8.23933i | −0.469021 | + | 0.422669i | ||||
\(381\) | −19.6382 | − | 14.2680i | −1.00610 | − | 0.730971i | ||||
\(382\) | −13.4698 | + | 3.86240i | −0.689175 | + | 0.197618i | ||||
\(383\) | −7.86487 | − | 1.10534i | −0.401876 | − | 0.0564800i | −0.0646603 | − | 0.997907i | \(-0.520596\pi\) |
−0.337216 | + | 0.941427i | \(0.609485\pi\) | |||||||
\(384\) | −1.27852 | − | 1.07281i | −0.0652442 | − | 0.0547464i | ||||
\(385\) | 5.56966 | − | 26.2218i | 0.283856 | − | 1.33639i | ||||
\(386\) | −4.02980 | + | 22.8542i | −0.205112 | + | 1.16325i | ||||
\(387\) | −0.723233 | − | 0.803232i | −0.0367640 | − | 0.0408306i | ||||
\(388\) | 0.101090 | + | 0.0450082i | 0.00513207 | + | 0.00228495i | ||||
\(389\) | 16.6707 | + | 4.78025i | 0.845238 | + | 0.242368i | 0.670188 | − | 0.742191i | \(-0.266213\pi\) |
0.175050 | + | 0.984560i | \(0.443991\pi\) | |||||||
\(390\) | 18.1377 | + | 23.2152i | 0.918437 | + | 1.17555i | ||||
\(391\) | 16.1089 | − | 17.8908i | 0.814663 | − | 0.904775i | ||||
\(392\) | 1.09080 | − | 0.485657i | 0.0550939 | − | 0.0245294i | ||||
\(393\) | −12.6599 | − | 25.9567i | −0.638609 | − | 1.30934i | ||||
\(394\) | −3.94014 | − | 9.75220i | −0.198502 | − | 0.491309i | ||||
\(395\) | 26.5888 | + | 22.3107i | 1.33783 | + | 1.12257i | ||||
\(396\) | −0.147996 | − | 0.695769i | −0.00743705 | − | 0.0349637i | ||||
\(397\) | −28.5137 | − | 10.3781i | −1.43106 | − | 0.520863i | −0.493824 | − | 0.869562i | \(-0.664401\pi\) |
−0.937235 | + | 0.348699i | \(0.886624\pi\) | |||||||
\(398\) | 2.58692 | − | 7.96172i | 0.129671 | − | 0.399085i | ||||
\(399\) | 13.3926 | + | 15.9470i | 0.670470 | + | 0.798348i | ||||
\(400\) | −2.40488 | − | 1.74725i | −0.120244 | − | 0.0873623i | ||||
\(401\) | −0.698077 | + | 19.9903i | −0.0348603 | + | 0.998269i | 0.848391 | + | 0.529369i | \(0.177571\pi\) |
−0.883252 | + | 0.468899i | \(0.844651\pi\) | |||||||
\(402\) | 1.50114 | − | 0.798169i | 0.0748699 | − | 0.0398090i | ||||
\(403\) | −1.39686 | − | 5.60250i | −0.0695826 | − | 0.279081i | ||||
\(404\) | 3.25015 | − | 13.0357i | 0.161701 | − | 0.648548i | ||||
\(405\) | −20.7189 | − | 11.0164i | −1.02953 | − | 0.547410i | ||||
\(406\) | 6.58873 | − | 11.4120i | 0.326993 | − | 0.566369i | ||||
\(407\) | 7.81174 | − | 9.31240i | 0.387213 | − | 0.461599i | ||||
\(408\) | 4.37406 | − | 1.59203i | 0.216548 | − | 0.0788171i | ||||
\(409\) | −0.697807 | − | 19.9826i | −0.0345043 | − | 0.988074i | −0.885992 | − | 0.463700i | \(-0.846522\pi\) |
0.851488 | − | 0.524374i | \(-0.175701\pi\) | |||||||
\(410\) | −29.3856 | − | 13.0833i | −1.45125 | − | 0.646139i | ||||
\(411\) | −18.0367 | + | 8.03047i | −0.889687 | + | 0.396114i | ||||
\(412\) | 0.929309 | − | 0.130606i | 0.0457838 | − | 0.00643449i | ||||
\(413\) | 24.0729 | + | 15.0424i | 1.18455 | + | 0.740189i | ||||
\(414\) | 0.447882 | + | 1.79636i | 0.0220122 | + | 0.0882861i | ||||
\(415\) | 8.87945 | + | 8.57479i | 0.435875 | + | 0.420920i | ||||
\(416\) | 3.84883 | − | 4.92628i | 0.188704 | − | 0.241531i | ||||
\(417\) | 13.8963 | 0.680506 | ||||||||
\(418\) | −4.47522 | − | 13.7467i | −0.218890 | − | 0.672374i | ||||
\(419\) | 22.4564 | 1.09707 | 0.548533 | − | 0.836129i | \(-0.315186\pi\) | ||||
0.548533 | + | 0.836129i | \(0.315186\pi\) | |||||||
\(420\) | −8.30509 | + | 10.6300i | −0.405247 | + | 0.518692i | ||||
\(421\) | 8.26017 | + | 7.97676i | 0.402576 | + | 0.388763i | 0.868196 | − | 0.496222i | \(-0.165280\pi\) |
−0.465620 | + | 0.884985i | \(0.654169\pi\) | |||||||
\(422\) | 1.65810 | + | 6.65029i | 0.0807153 | + | 0.323731i | ||||
\(423\) | 1.23286 | + | 0.770379i | 0.0599439 | + | 0.0374571i | ||||
\(424\) | 9.44981 | − | 1.32808i | 0.458923 | − | 0.0644974i | ||||
\(425\) | 7.57374 | − | 3.37205i | 0.367380 | − | 0.163568i | ||||
\(426\) | 3.52969 | + | 1.57152i | 0.171014 | + | 0.0761404i | ||||
\(427\) | 0.716401 | + | 20.5150i | 0.0346691 | + | 0.992792i | ||||
\(428\) | −18.1725 | + | 6.61423i | −0.878399 | + | 0.319711i | ||||
\(429\) | −33.5757 | + | 8.37652i | −1.62105 | + | 0.404422i | ||||
\(430\) | 7.11474 | − | 12.3231i | 0.343103 | − | 0.594272i | ||||
\(431\) | 22.3895 | + | 11.9047i | 1.07846 | + | 0.573429i | 0.910982 | − | 0.412446i | \(-0.135325\pi\) |
0.167482 | + | 0.985875i | \(0.446437\pi\) | |||||||
\(432\) | −1.29789 | + | 5.20556i | −0.0624449 | + | 0.250453i | ||||
\(433\) | 4.51426 | + | 18.1057i | 0.216941 | + | 0.870105i | 0.975767 | + | 0.218811i | \(0.0702178\pi\) |
−0.758826 | + | 0.651294i | \(0.774227\pi\) | |||||||
\(434\) | 2.33440 | − | 1.24122i | 0.112055 | − | 0.0595806i | ||||
\(435\) | −0.757104 | + | 21.6806i | −0.0363003 | + | 1.03951i | ||||
\(436\) | 5.33358 | + | 3.87507i | 0.255432 | + | 0.185582i | ||||
\(437\) | 12.8838 | + | 35.3514i | 0.616316 | + | 1.69109i | ||||
\(438\) | −0.733880 | + | 2.25865i | −0.0350662 | + | 0.107923i | ||||
\(439\) | −8.98858 | − | 3.27158i | −0.429002 | − | 0.156144i | 0.118490 | − | 0.992955i | \(-0.462195\pi\) |
−0.547491 | + | 0.836811i | \(0.684417\pi\) | |||||||
\(440\) | 8.10943 | − | 4.68355i | 0.386602 | − | 0.223279i | ||||
\(441\) | −0.196177 | − | 0.164612i | −0.00934177 | − | 0.00783868i | ||||
\(442\) | 6.53141 | + | 16.1658i | 0.310668 | + | 0.768929i | ||||
\(443\) | −3.46251 | − | 7.09920i | −0.164509 | − | 0.337293i | 0.800576 | − | 0.599232i | \(-0.204527\pi\) |
−0.965085 | + | 0.261938i | \(0.915638\pi\) | |||||||
\(444\) | −5.58782 | + | 2.48786i | −0.265186 | + | 0.118068i | ||||
\(445\) | −22.6562 | + | 25.1622i | −1.07400 | + | 1.19280i | ||||
\(446\) | −9.25335 | − | 11.8438i | −0.438159 | − | 0.560818i | ||||
\(447\) | −9.69477 | − | 2.77993i | −0.458547 | − | 0.131486i | ||||
\(448\) | 2.61504 | + | 1.16429i | 0.123549 | + | 0.0550077i | ||||
\(449\) | −1.75183 | − | 1.94561i | −0.0826741 | − | 0.0918189i | 0.700388 | − | 0.713762i | \(-0.253010\pi\) |
−0.783062 | + | 0.621943i | \(0.786344\pi\) | |||||||
\(450\) | −0.110709 | + | 0.627863i | −0.00521888 | + | 0.0295977i | ||||
\(451\) | 28.0749 | − | 25.2861i | 1.32199 | − | 1.19068i | ||||
\(452\) | 11.2994 | + | 9.48129i | 0.531477 | + | 0.445962i | ||||
\(453\) | 24.2185 | + | 3.40368i | 1.13788 | + | 0.159919i | ||||
\(454\) | −20.0356 | + | 5.74510i | −0.940315 | + | 0.269631i | ||||
\(455\) | −40.8783 | − | 29.6998i | −1.91640 | − | 1.39235i | ||||
\(456\) | −1.00943 | + | 7.20458i | −0.0472707 | + | 0.337386i | ||||
\(457\) | 0.761660 | + | 2.34415i | 0.0356289 | + | 0.109655i | 0.967289 | − | 0.253676i | \(-0.0816396\pi\) |
−0.931660 | + | 0.363330i | \(0.881640\pi\) | |||||||
\(458\) | −4.41262 | − | 6.54198i | −0.206188 | − | 0.305687i | ||||
\(459\) | −10.7632 | − | 10.3939i | −0.502385 | − | 0.485147i | ||||
\(460\) | −20.6695 | + | 12.9158i | −0.963722 | + | 0.602201i | ||||
\(461\) | −7.14302 | + | 5.99371i | −0.332684 | + | 0.279155i | −0.793792 | − | 0.608189i | \(-0.791896\pi\) |
0.461109 | + | 0.887344i | \(0.347452\pi\) | |||||||
\(462\) | −7.44091 | − | 13.9894i | −0.346182 | − | 0.650847i | ||||
\(463\) | 6.71560 | − | 11.6318i | 0.312100 | − | 0.540574i | −0.666716 | − | 0.745311i | \(-0.732301\pi\) |
0.978817 | + | 0.204738i | \(0.0656341\pi\) | |||||||
\(464\) | 4.50285 | − | 0.957110i | 0.209039 | − | 0.0444327i | ||||
\(465\) | −2.43392 | + | 3.60844i | −0.112870 | + | 0.167337i | ||||
\(466\) | 17.3890 | + | 4.98620i | 0.805528 | + | 0.230981i | ||||
\(467\) | 21.5399 | − | 23.9225i | 0.996748 | − | 1.10700i | 0.00248961 | − | 0.999997i | \(-0.499208\pi\) |
0.994259 | − | 0.107004i | \(-0.0341258\pi\) | |||||||
\(468\) | −1.31150 | − | 0.278768i | −0.0606242 | − | 0.0128861i | ||||
\(469\) | −2.09756 | + | 2.02559i | −0.0968564 | + | 0.0935332i | ||||
\(470\) | −4.63011 | + | 18.5704i | −0.213571 | + | 0.856587i | ||||
\(471\) | 6.99896 | − | 4.37344i | 0.322495 | − | 0.201517i | ||||
\(472\) | 1.72198 | + | 9.76586i | 0.0792607 | + | 0.449510i | ||||
\(473\) | 9.82632 | + | 13.5207i | 0.451815 | + | 0.621680i | ||||
\(474\) | 20.5163 | 0.942345 | ||||||||
\(475\) | −0.898374 | + | 12.9260i | −0.0412202 | + | 0.593088i | ||||
\(476\) | −6.45880 | + | 4.69259i | −0.296038 | + | 0.215085i | ||||
\(477\) | −1.14448 | − | 1.69677i | −0.0524023 | − | 0.0776896i | ||||
\(478\) | 11.1914 | − | 5.95055i | 0.511881 | − | 0.272172i | ||||
\(479\) | 7.64328 | − | 18.9178i | 0.349230 | − | 0.864376i | −0.645680 | − | 0.763608i | \(-0.723426\pi\) |
0.994910 | − | 0.100767i | \(-0.0321297\pi\) | |||||||
\(480\) | −4.70104 | + | 0.328729i | −0.214572 | + | 0.0150043i | ||||
\(481\) | −10.0436 | − | 20.5923i | −0.457946 | − | 0.938929i | ||||
\(482\) | −3.82744 | − | 4.25080i | −0.174335 | − | 0.193619i | ||||
\(483\) | 20.6197 | + | 35.7144i | 0.938230 | + | 1.62506i | ||||
\(484\) | 1.15298 | + | 10.9394i | 0.0524080 | + | 0.497246i | ||||
\(485\) | 0.293605 | − | 0.106864i | 0.0133319 | − | 0.00485243i | ||||
\(486\) | 2.17591 | − | 0.462503i | 0.0987012 | − | 0.0209796i | ||||
\(487\) | 2.52294 | + | 24.0042i | 0.114325 | + | 1.08773i | 0.889799 | + | 0.456353i | \(0.150845\pi\) |
−0.775473 | + | 0.631380i | \(0.782489\pi\) | |||||||
\(488\) | −5.15848 | + | 4.98149i | −0.233514 | + | 0.225501i | ||||
\(489\) | −17.8729 | − | 11.1682i | −0.808239 | − | 0.505044i | ||||
\(490\) | 1.26297 | − | 3.12595i | 0.0570550 | − | 0.141216i | ||||
\(491\) | −3.90290 | + | 8.00213i | −0.176135 | + | 0.361131i | −0.968537 | − | 0.248868i | \(-0.919941\pi\) |
0.792402 | + | 0.609999i | \(0.208830\pi\) | |||||||
\(492\) | −18.2768 | + | 5.24078i | −0.823981 | + | 0.236273i | ||||
\(493\) | −3.96744 | + | 12.2105i | −0.178685 | + | 0.549934i | ||||
\(494\) | −27.1017 | − | 2.83690i | −1.21936 | − | 0.127638i | ||||
\(495\) | −1.66529 | − | 1.12290i | −0.0748494 | − | 0.0504708i | ||||
\(496\) | 0.867915 | + | 0.315895i | 0.0389705 | + | 0.0141841i | ||||
\(497\) | −6.56228 | − | 0.922268i | −0.294358 | − | 0.0413694i | ||||
\(498\) | 7.27858 | + | 0.508968i | 0.326161 | + | 0.0228074i | ||||
\(499\) | −2.19898 | + | 0.153768i | −0.0984398 | + | 0.00688358i | −0.118891 | − | 0.992907i | \(-0.537934\pi\) |
0.0204516 | + | 0.999791i | \(0.493490\pi\) | |||||||
\(500\) | 5.66883 | − | 0.796703i | 0.253518 | − | 0.0356296i | ||||
\(501\) | −16.2312 | − | 3.45005i | −0.725158 | − | 0.154137i | ||||
\(502\) | −1.88904 | + | 17.9731i | −0.0843122 | + | 0.802177i | ||||
\(503\) | 12.7405 | − | 18.8885i | 0.568070 | − | 0.842199i | −0.430093 | − | 0.902785i | \(-0.641519\pi\) |
0.998163 | + | 0.0605859i | \(0.0192969\pi\) | |||||||
\(504\) | −0.0214262 | − | 0.613567i | −0.000954401 | − | 0.0273305i | ||||
\(505\) | −18.9670 | − | 32.8518i | −0.844020 | − | 1.46189i | ||||
\(506\) | −3.98849 | − | 28.3499i | −0.177310 | − | 1.26030i | ||||
\(507\) | −7.55891 | + | 42.8687i | −0.335703 | + | 1.90387i | ||||
\(508\) | 5.44836 | + | 13.4852i | 0.241732 | + | 0.598308i | ||||
\(509\) | −17.4279 | − | 1.21868i | −0.772480 | − | 0.0540170i | −0.321924 | − | 0.946765i | \(-0.604330\pi\) |
−0.450556 | + | 0.892748i | \(0.648774\pi\) | |||||||
\(510\) | 5.76156 | − | 11.8130i | 0.255126 | − | 0.523086i | ||||
\(511\) | 0.142153 | − | 4.07074i | 0.00628850 | − | 0.180079i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 22.2375 | − | 7.23583i | 0.981812 | − | 0.319470i | ||||
\(514\) | 12.0167 | − | 8.73067i | 0.530035 | − | 0.385093i | ||||
\(515\) | 1.63136 | − | 2.08804i | 0.0718862 | − | 0.0920101i | ||||
\(516\) | −1.46054 | − | 8.28313i | −0.0642966 | − | 0.364644i | ||||
\(517\) | −17.7172 | − | 13.8380i | −0.779200 | − | 0.608596i | ||||
\(518\) | 8.03640 | − | 6.74334i | 0.353099 | − | 0.296285i | ||||
\(519\) | −0.322356 | − | 0.171400i | −0.0141498 | − | 0.00752360i | ||||
\(520\) | −1.84510 | − | 17.5550i | −0.0809132 | − | 0.769838i | ||||
\(521\) | 0.500413 | − | 4.76111i | 0.0219235 | − | 0.208588i | −0.978076 | − | 0.208246i | \(-0.933224\pi\) |
1.00000 | 0.000341953i | \(-0.000108847\pi\) | ||||||||
\(522\) | −0.607859 | − | 0.778024i | −0.0266053 | − | 0.0340532i | ||||
\(523\) | 2.41630 | + | 3.09272i | 0.105657 | + | 0.135235i | 0.837933 | − | 0.545773i | \(-0.183764\pi\) |
−0.732276 | + | 0.681008i | \(0.761542\pi\) | |||||||
\(524\) | −1.80872 | + | 17.2088i | −0.0790141 | + | 0.751769i | ||||
\(525\) | 1.48447 | + | 14.1238i | 0.0647877 | + | 0.616414i | ||||
\(526\) | −16.1419 | − | 8.58279i | −0.703820 | − | 0.374228i | ||||
\(527\) | −1.97329 | + | 1.65579i | −0.0859578 | + | 0.0721272i | ||||
\(528\) | 1.89247 | − | 5.20186i | 0.0823592 | − | 0.226382i | ||||
\(529\) | 8.94482 | + | 50.7286i | 0.388905 | + | 2.20559i | ||||
\(530\) | 16.5887 | − | 21.2325i | 0.720566 | − | 0.922283i | ||||
\(531\) | 1.72066 | − | 1.25013i | 0.0746702 | − | 0.0542511i | ||||
\(532\) | −1.74176 | − | 12.3553i | −0.0755148 | − | 0.535669i | ||||
\(533\) | −22.0076 | − | 67.7326i | −0.953257 | − | 2.93382i | ||||
\(534\) | −0.698471 | + | 20.0016i | −0.0302258 | + | 0.865553i | ||||
\(535\) | −23.9370 | + | 49.0781i | −1.03489 | + | 2.12183i | ||||
\(536\) | −1.01618 | − | 0.0710586i | −0.0438925 | − | 0.00306926i | ||||
\(537\) | 3.96658 | + | 9.81764i | 0.171171 | + | 0.423662i | ||||
\(538\) | 4.23942 | − | 24.0430i | 0.182774 | − | 1.03657i | ||||
\(539\) | 2.75137 | + | 2.84830i | 0.118510 | + | 0.122685i | ||||
\(540\) | 7.57414 | + | 13.1188i | 0.325939 | + | 0.564543i | ||||
\(541\) | −0.308507 | − | 8.83448i | −0.0132637 | − | 0.379824i | −0.987813 | − | 0.155648i | \(-0.950253\pi\) |
0.974549 | − | 0.224176i | \(-0.0719689\pi\) | |||||||
\(542\) | 8.31837 | − | 12.3325i | 0.357305 | − | 0.529726i | ||||
\(543\) | 2.82046 | − | 26.8349i | 0.121038 | − | 1.15160i | ||||
\(544\) | −2.72803 | − | 0.579861i | −0.116963 | − | 0.0248613i | ||||
\(545\) | 18.4338 | − | 2.59069i | 0.789615 | − | 0.110973i | ||||
\(546\) | −29.7941 | + | 2.08340i | −1.27507 | + | 0.0891615i | ||||
\(547\) | 2.36867 | + | 0.165633i | 0.101277 | + | 0.00708198i | 0.120305 | − | 0.992737i | \(-0.461613\pi\) |
−0.0190281 | + | 0.999819i | \(0.506057\pi\) | |||||||
\(548\) | 11.7146 | + | 1.64638i | 0.500422 | + | 0.0703298i | ||||
\(549\) | 1.44528 | + | 0.526039i | 0.0616830 | + | 0.0224508i | ||||
\(550\) | 2.71613 | − | 9.47744i | 0.115816 | − | 0.404120i | ||||
\(551\) | −13.9451 | − | 14.4283i | −0.594081 | − | 0.614667i | ||||
\(552\) | −4.45191 | + | 13.7016i | −0.189486 | + | 0.583178i | ||||
\(553\) | −33.8249 | + | 9.69913i | −1.43838 | + | 0.412449i | ||||
\(554\) | −3.99758 | + | 8.19626i | −0.169841 | + | 0.348226i | ||||
\(555\) | −6.46975 | + | 16.0132i | −0.274625 | + | 0.679722i | ||||
\(556\) | −7.06102 | − | 4.41221i | −0.299454 | − | 0.187119i | ||||
\(557\) | 22.6188 | − | 21.8427i | 0.958390 | − | 0.925506i | −0.0388878 | − | 0.999244i | \(-0.512381\pi\) |
0.997278 | + | 0.0737372i | \(0.0234926\pi\) | |||||||
\(558\) | −0.0207064 | − | 0.197008i | −0.000876571 | − | 0.00834001i | ||||
\(559\) | 30.8163 | − | 6.55021i | 1.30339 | − | 0.277044i | ||||
\(560\) | 7.59512 | − | 2.76440i | 0.320952 | − | 0.116817i | ||||
\(561\) | 9.92515 | + | 11.8249i | 0.419040 | + | 0.499246i | ||||
\(562\) | 8.37320 | + | 14.5028i | 0.353202 | + | 0.611764i | ||||
\(563\) | −10.8520 | − | 12.0524i | −0.457357 | − | 0.507946i | 0.469721 | − | 0.882815i | \(-0.344354\pi\) |
−0.927078 | + | 0.374869i | \(0.877688\pi\) | |||||||
\(564\) | 4.95921 | + | 10.1679i | 0.208820 | + | 0.428145i | ||||
\(565\) | 41.5471 | − | 2.90525i | 1.74790 | − | 0.122225i | ||||
\(566\) | 7.66694 | − | 18.9764i | 0.322266 | − | 0.797636i | ||||
\(567\) | 21.0046 | − | 11.1684i | 0.882111 | − | 0.469027i | ||||
\(568\) | −1.29454 | − | 1.91923i | −0.0543176 | − | 0.0805291i | ||||
\(569\) | −6.62574 | + | 4.81388i | −0.277766 | + | 0.201808i | −0.717942 | − | 0.696103i | \(-0.754916\pi\) |
0.440177 | + | 0.897911i | \(0.354916\pi\) | |||||||
\(570\) | 12.0810 | + | 16.6132i | 0.506016 | + | 0.695851i | ||||
\(571\) | 16.7807 | 0.702250 | 0.351125 | − | 0.936329i | \(-0.385799\pi\) | ||||
0.351125 | + | 0.936329i | \(0.385799\pi\) | |||||||
\(572\) | 19.7201 | + | 6.40431i | 0.824540 | + | 0.267777i | ||||
\(573\) | 4.06110 | + | 23.0316i | 0.169655 | + | 0.962160i | ||||
\(574\) | 27.6550 | − | 17.2808i | 1.15430 | − | 0.721285i | ||||
\(575\) | −6.20756 | + | 24.8972i | −0.258873 | + | 1.03828i | ||||
\(576\) | 0.154281 | − | 0.148987i | 0.00642837 | − | 0.00620780i | ||||
\(577\) | −40.6911 | − | 8.64917i | −1.69399 | − | 0.360070i | −0.743003 | − | 0.669288i | \(-0.766599\pi\) |
−0.950991 | + | 0.309219i | \(0.899933\pi\) | |||||||
\(578\) | −6.17045 | + | 6.85298i | −0.256657 | + | 0.285047i | ||||
\(579\) | 37.2313 | + | 10.6759i | 1.54728 | + | 0.443676i | ||||
\(580\) | 7.26849 | − | 10.7760i | 0.301808 | − | 0.447448i | ||||
\(581\) | −12.2407 | + | 2.60184i | −0.507829 | + | 0.107942i | ||||
\(582\) | 0.0923426 | − | 0.159942i | 0.00382772 | − | 0.00662981i | ||||
\(583\) | 14.8626 | + | 27.9427i | 0.615545 | + | 1.15727i | ||||
\(584\) | 1.09004 | − | 0.914654i | 0.0451063 | − | 0.0378487i | ||||
\(585\) | −3.21059 | + | 2.00620i | −0.132742 | + | 0.0829461i | ||||
\(586\) | −2.90959 | − | 2.80976i | −0.120194 | − | 0.116070i | ||||
\(587\) | 20.7887 | + | 30.8206i | 0.858043 | + | 1.27210i | 0.960757 | + | 0.277390i | \(0.0894696\pi\) |
−0.102714 | + | 0.994711i | \(0.532753\pi\) | |||||||
\(588\) | −0.615818 | − | 1.89529i | −0.0253959 | − | 0.0781606i | ||||
\(589\) | −0.838710 | − | 3.93762i | −0.0345584 | − | 0.162247i | ||||
\(590\) | 22.6525 | + | 16.4580i | 0.932589 | + | 0.677566i | ||||
\(591\) | −16.8745 | + | 4.83869i | −0.694126 | + | 0.199037i | ||||
\(592\) | 3.62920 | + | 0.510051i | 0.149159 | + | 0.0209630i | ||||
\(593\) | −12.1029 | − | 10.1556i | −0.497008 | − | 0.417039i | 0.359522 | − | 0.933137i | \(-0.382940\pi\) |
−0.856530 | + | 0.516098i | \(0.827384\pi\) | |||||||
\(594\) | −17.6957 | + | 1.86248i | −0.726063 | + | 0.0764185i | ||||
\(595\) | −3.91439 | + | 22.1996i | −0.160474 | + | 0.910095i | ||||
\(596\) | 4.04346 | + | 4.49072i | 0.165627 | + | 0.183947i | ||||
\(597\) | −12.7639 | − | 5.68287i | −0.522393 | − | 0.232584i | ||||
\(598\) | −51.8727 | − | 14.8743i | −2.12123 | − | 0.608254i | ||||
\(599\) | 7.31801 | + | 9.36662i | 0.299006 | + | 0.382710i | 0.913927 | − | 0.405879i | \(-0.133034\pi\) |
−0.614921 | + | 0.788589i | \(0.710812\pi\) | |||||||
\(600\) | −3.31971 | + | 3.68691i | −0.135526 | + | 0.150517i | ||||
\(601\) | −13.0204 | + | 5.79707i | −0.531114 | + | 0.236467i | −0.654730 | − | 0.755863i | \(-0.727218\pi\) |
0.123616 | + | 0.992330i | \(0.460551\pi\) | |||||||
\(602\) | 6.32383 | + | 12.9658i | 0.257740 | + | 0.528446i | ||||
\(603\) | 0.0818437 | + | 0.202570i | 0.00333293 | + | 0.00824930i | ||||
\(604\) | −11.2252 | − | 9.41906i | −0.456747 | − | 0.383256i | ||||
\(605\) | 23.7986 | + | 19.9577i | 0.967551 | + | 0.811395i | ||||
\(606\) | −21.0702 | − | 7.66892i | −0.855917 | − | 0.311528i | ||||
\(607\) | 10.5058 | − | 32.3337i | 0.426419 | − | 1.31238i | −0.475210 | − | 0.879873i | \(-0.657628\pi\) |
0.901629 | − | 0.432511i | \(-0.142372\pi\) | |||||||
\(608\) | 2.80043 | − | 3.34030i | 0.113572 | − | 0.135467i | ||||
\(609\) | −17.7927 | − | 12.9272i | −0.720998 | − | 0.523836i | ||||
\(610\) | −0.706654 | + | 20.2359i | −0.0286116 | + | 0.819329i | ||||
\(611\) | −37.4143 | + | 19.8936i | −1.51362 | + | 0.804807i | ||||
\(612\) | 0.144710 | + | 0.580400i | 0.00584955 | + | 0.0234613i | ||||
\(613\) | −0.706162 | + | 2.83226i | −0.0285216 | + | 0.114394i | −0.982869 | − | 0.184304i | \(-0.940997\pi\) |
0.954348 | + | 0.298698i | \(0.0965524\pi\) | |||||||
\(614\) | 13.6235 | + | 7.24372i | 0.549798 | + | 0.292333i | ||||
\(615\) | −26.8428 | + | 46.4931i | −1.08241 | + | 1.87478i | ||||
\(616\) | −0.660892 | + | 9.47088i | −0.0266281 | + | 0.381593i | ||||
\(617\) | 18.1205 | − | 6.59531i | 0.729502 | − | 0.265517i | 0.0495482 | − | 0.998772i | \(-0.484222\pi\) |
0.679954 | + | 0.733255i | \(0.262000\pi\) | |||||||
\(618\) | −0.0546613 | − | 1.56530i | −0.00219880 | − | 0.0629654i | ||||
\(619\) | −13.8288 | − | 6.15696i | −0.555825 | − | 0.247469i | 0.109546 | − | 0.993982i | \(-0.465060\pi\) |
−0.665372 | + | 0.746512i | \(0.731727\pi\) | |||||||
\(620\) | 2.38244 | − | 1.06073i | 0.0956810 | − | 0.0425999i | ||||
\(621\) | 45.8593 | − | 6.44510i | 1.84027 | − | 0.258633i | ||||
\(622\) | 13.4058 | + | 8.37687i | 0.537523 | + | 0.335882i | ||||
\(623\) | −8.30424 | − | 33.3065i | −0.332702 | − | 1.33440i | ||||
\(624\) | −7.50541 | − | 7.24789i | −0.300457 | − | 0.290148i | ||||
\(625\) | 19.1019 | − | 24.4493i | 0.764077 | − | 0.977974i | ||||
\(626\) | 5.44334 | 0.217560 | ||||||||
\(627\) | −23.5982 | + | 5.02996i | −0.942420 | + | 0.200877i | ||||
\(628\) | −4.94493 | −0.197324 | ||||||||
\(629\) | −6.29283 | + | 8.05445i | −0.250911 | + | 0.321152i | ||||
\(630\) | −1.24698 | − | 1.20420i | −0.0496810 | − | 0.0479764i | ||||
\(631\) | 6.33038 | + | 25.3898i | 0.252008 | + | 1.01075i | 0.954297 | + | 0.298858i | \(0.0966058\pi\) |
−0.702289 | + | 0.711892i | \(0.747839\pi\) | |||||||
\(632\) | −10.4248 | − | 6.51412i | −0.414675 | − | 0.259118i | ||||
\(633\) | 11.3277 | − | 1.59201i | 0.450237 | − | 0.0632767i | ||||
\(634\) | −13.6778 | + | 6.08973i | −0.543213 | + | 0.241854i | ||||
\(635\) | 37.5163 | + | 16.7034i | 1.48879 | + | 0.662852i | ||||
\(636\) | −0.555831 | − | 15.9169i | −0.0220401 | − | 0.631147i | ||||
\(637\) | 7.01438 | − | 2.55302i | 0.277920 | − | 0.101154i | ||||
\(638\) | 8.09262 | + | 12.9467i | 0.320390 | + | 0.512566i | ||||
\(639\) | −0.248257 | + | 0.429993i | −0.00982088 | + | 0.0170103i | ||||
\(640\) | 2.49307 | + | 1.32559i | 0.0985473 | + | 0.0523985i | ||||
\(641\) | 11.5922 | − | 46.4936i | 0.457862 | − | 1.83639i | −0.0847490 | − | 0.996402i | \(-0.527009\pi\) |
0.542611 | − | 0.839984i | \(-0.317436\pi\) | |||||||
\(642\) | 7.80830 | + | 31.3174i | 0.308169 | + | 1.23600i | ||||
\(643\) | −13.5415 | + | 7.20015i | −0.534025 | + | 0.283946i | −0.714503 | − | 0.699633i | \(-0.753347\pi\) |
0.180477 | + | 0.983579i | \(0.442236\pi\) | |||||||
\(644\) | 0.862340 | − | 24.6942i | 0.0339810 | − | 0.973087i | ||||
\(645\) | −19.2132 | − | 13.9592i | −0.756520 | − | 0.549644i | ||||
\(646\) | 4.16274 | + | 11.4220i | 0.163781 | + | 0.449391i | ||||
\(647\) | −1.56106 | + | 4.80445i | −0.0613717 | + | 0.188883i | −0.977042 | − | 0.213048i | \(-0.931661\pi\) |
0.915670 | + | 0.401931i | \(0.131661\pi\) | |||||||
\(648\) | 7.80938 | + | 2.84238i | 0.306782 | + | 0.111659i | ||||
\(649\) | −28.4806 | + | 16.4488i | −1.11796 | + | 0.645671i | ||||
\(650\) | −14.2356 | − | 11.9451i | −0.558366 | − | 0.468525i | ||||
\(651\) | −1.65299 | − | 4.09128i | −0.0647856 | − | 0.160350i | ||||
\(652\) | 5.53557 | + | 11.3496i | 0.216790 | + | 0.444484i | ||||
\(653\) | 43.4782 | − | 19.3577i | 1.70143 | − | 0.757526i | 0.702482 | − | 0.711701i | \(-0.252075\pi\) |
0.998949 | − | 0.0458247i | \(-0.0145916\pi\) | |||||||
\(654\) | 7.36250 | − | 8.17689i | 0.287897 | − | 0.319742i | ||||
\(655\) | 30.0800 | + | 38.5006i | 1.17532 | + | 1.50434i | ||||
\(656\) | 10.9508 | + | 3.14009i | 0.427557 | + | 0.122600i | ||||
\(657\) | −0.278803 | − | 0.124131i | −0.0108771 | − | 0.00484282i | ||||
\(658\) | −12.9830 | − | 14.4191i | −0.506132 | − | 0.562116i | ||||
\(659\) | 4.81988 | − | 27.3349i | 0.187756 | − | 1.06482i | −0.734608 | − | 0.678492i | \(-0.762634\pi\) |
0.922363 | − | 0.386323i | \(-0.126255\pi\) | |||||||
\(660\) | −6.35922 | − | 14.2775i | −0.247532 | − | 0.555750i | ||||
\(661\) | 5.42959 | + | 4.55597i | 0.211187 | + | 0.177207i | 0.742245 | − | 0.670129i | \(-0.233761\pi\) |
−0.531058 | + | 0.847335i | \(0.678206\pi\) | |||||||
\(662\) | 17.8018 | + | 2.50188i | 0.691887 | + | 0.0972383i | ||||
\(663\) | 27.9722 | − | 8.02090i | 1.08635 | − | 0.311506i | ||||
\(664\) | −3.53680 | − | 2.56963i | −0.137254 | − | 0.0997211i | ||||
\(665\) | −27.7716 | − | 21.6786i | −1.07694 | − | 0.840661i | ||||
\(666\) | −0.242895 | − | 0.747555i | −0.00941200 | − | 0.0289672i | ||||
\(667\) | −22.2206 | − | 32.9433i | −0.860384 | − | 1.27557i | ||||
\(668\) | 7.15200 | + | 6.90661i | 0.276719 | + | 0.267225i | ||||
\(669\) | −21.2731 | + | 13.2929i | −0.822466 | + | 0.513934i | ||||
\(670\) | −2.20336 | + | 1.84884i | −0.0851233 | + | 0.0714269i | ||||
\(671\) | −21.3784 | − | 10.4231i | −0.825304 | − | 0.402380i | ||||
\(672\) | 2.38876 | − | 4.13745i | 0.0921484 | − | 0.159606i | ||||
\(673\) | −10.4100 | + | 2.21271i | −0.401275 | + | 0.0852936i | −0.404128 | − | 0.914702i | \(-0.632425\pi\) |
0.00285338 | + | 0.999996i | \(0.499092\pi\) | |||||||
\(674\) | 5.23207 | − | 7.75687i | 0.201532 | − | 0.298783i | ||||
\(675\) | 15.3299 | + | 4.39579i | 0.590050 | + | 0.169194i | ||||
\(676\) | 17.4521 | − | 19.3825i | 0.671233 | − | 0.745480i | ||||
\(677\) | 5.76398 | + | 1.22517i | 0.221528 | + | 0.0470871i | 0.317338 | − | 0.948312i | \(-0.397211\pi\) |
−0.0958106 | + | 0.995400i | \(0.530544\pi\) | |||||||
\(678\) | 17.7087 | − | 17.1011i | 0.680100 | − | 0.656765i | ||||
\(679\) | −0.0766307 | + | 0.307349i | −0.00294081 | + | 0.0117950i | ||||
\(680\) | −6.67829 | + | 4.17306i | −0.256101 | + | 0.160030i | ||||
\(681\) | 6.04065 | + | 34.2582i | 0.231478 | + | 1.31278i | ||||
\(682\) | 0.000442924 | 3.06329i | 1.69605e−5 | 0.117299i | ||||||
\(683\) | −12.9719 | −0.496357 | −0.248178 | − | 0.968714i | \(-0.579832\pi\) | ||||
−0.248178 | + | 0.968714i | \(0.579832\pi\) | |||||||
\(684\) | −0.907204 | − | 0.225783i | −0.0346878 | − | 0.00863303i | ||||
\(685\) | 27.0229 | − | 19.6333i | 1.03249 | − | 0.750149i | ||||
\(686\) | −9.29362 | − | 13.7784i | −0.354832 | − | 0.526060i | ||||
\(687\) | −11.6285 | + | 6.18298i | −0.443654 | + | 0.235895i | ||||
\(688\) | −1.88784 | + | 4.67256i | −0.0719732 | + | 0.178140i | ||||
\(689\) | 59.5110 | − | 4.16142i | 2.26719 | − | 0.158537i | ||||
\(690\) | 17.8322 | + | 36.5615i | 0.678862 | + | 1.39187i | ||||
\(691\) | 8.48023 | + | 9.41825i | 0.322603 | + | 0.358287i | 0.882531 | − | 0.470254i | \(-0.155838\pi\) |
−0.559928 | + | 0.828541i | \(0.689171\pi\) | |||||||
\(692\) | 0.109375 | + | 0.189443i | 0.00415780 | + | 0.00720152i | ||||
\(693\) | 1.88783 | − | 0.763052i | 0.0717129 | − | 0.0289859i | ||||
\(694\) | 1.36818 | − | 0.497978i | 0.0519355 | − | 0.0189030i | ||||
\(695\) | −22.9959 | + | 4.88793i | −0.872285 | + | 0.185410i | ||||
\(696\) | −0.803102 | − | 7.64101i | −0.0304415 | − | 0.289632i | ||||
\(697\) | −22.8551 | + | 22.0709i | −0.865700 | + | 0.835997i | ||||
\(698\) | 2.15425 | + | 1.34613i | 0.0815396 | + | 0.0509516i | ||||
\(699\) | 11.3100 | − | 27.9931i | 0.427782 | − | 1.05880i | ||||
\(700\) | 3.73015 | − | 7.64794i | 0.140986 | − | 0.289065i | ||||
\(701\) | 26.4010 | − | 7.57035i | 0.997150 | − | 0.285928i | 0.262912 | − | 0.964820i | \(-0.415317\pi\) |
0.734238 | + | 0.678892i | \(0.237539\pi\) | |||||||
\(702\) | −10.3641 | + | 31.8975i | −0.391169 | + | 1.20389i | ||||
\(703\) | −6.50372 | − | 14.5910i | −0.245292 | − | 0.550308i | ||||
\(704\) | −2.61324 | + | 2.04230i | −0.0984902 | + | 0.0769719i | ||||
\(705\) | 30.0162 | + | 10.9250i | 1.13048 | + | 0.411459i | ||||
\(706\) | −11.8565 | − | 1.66632i | −0.446225 | − | 0.0627128i | ||||
\(707\) | 38.3635 | + | 2.68264i | 1.44281 | + | 0.100891i | ||||
\(708\) | 16.5102 | − | 1.15451i | 0.620492 | − | 0.0433891i | ||||
\(709\) | 19.7239 | − | 2.77201i | 0.740747 | − | 0.104105i | 0.241301 | − | 0.970450i | \(-0.422426\pi\) |
0.499446 | + | 0.866345i | \(0.333537\pi\) | |||||||
\(710\) | −6.39377 | − | 1.35904i | −0.239954 | − | 0.0510038i | ||||
\(711\) | −0.275587 | + | 2.62203i | −0.0103353 | + | 0.0983339i | ||||
\(712\) | 6.70559 | − | 9.94145i | 0.251303 | − | 0.372572i | ||||
\(713\) | −0.278241 | − | 7.96778i | −0.0104202 | − | 0.298396i | ||||
\(714\) | 6.66220 | + | 11.5393i | 0.249326 | + | 0.431846i | ||||
\(715\) | 52.6153 | − | 25.6716i | 1.96770 | − | 0.960064i | ||||
\(716\) | 1.10169 | − | 6.24797i | 0.0411719 | − | 0.233498i | ||||
\(717\) | −7.92459 | − | 19.6141i | −0.295949 | − | 0.732500i | ||||
\(718\) | 20.9859 | + | 1.46748i | 0.783188 | + | 0.0547659i | ||||
\(719\) | −7.04806 | + | 14.4507i | −0.262848 | + | 0.538919i | −0.988875 | − | 0.148747i | \(-0.952476\pi\) |
0.726027 | + | 0.687666i | \(0.241365\pi\) | |||||||
\(720\) | 0.0211347 | − | 0.605220i | 0.000787645 | − | 0.0225552i | ||||
\(721\) | 0.830116 | + | 2.55483i | 0.0309151 | + | 0.0951470i | ||||
\(722\) | −18.8173 | − | 2.62835i | −0.700308 | − | 0.0978169i | ||||
\(723\) | −7.72340 | + | 5.61138i | −0.287236 | + | 0.208689i | ||||
\(724\) | −9.95346 | + | 12.7398i | −0.369917 | + | 0.473473i | ||||
\(725\) | −2.37623 | − | 13.4763i | −0.0882509 | − | 0.500496i | ||||
\(726\) | 18.3589 | − | 0.00530906i | 0.681362 | − | 0.000197038i | ||||
\(727\) | −8.42514 | + | 7.06953i | −0.312471 | + | 0.262194i | −0.785512 | − | 0.618846i | \(-0.787601\pi\) |
0.473041 | + | 0.881040i | \(0.343156\pi\) | |||||||
\(728\) | 15.8005 | + | 8.40127i | 0.585605 | + | 0.311372i | ||||
\(729\) | −2.99416 | − | 28.4875i | −0.110895 | − | 1.05509i | ||||
\(730\) | 0.419975 | − | 3.99580i | 0.0155440 | − | 0.147891i | ||||
\(731\) | −8.65320 | − | 11.0756i | −0.320050 | − | 0.409645i | ||||
\(732\) | 7.36857 | + | 9.43134i | 0.272350 | + | 0.348593i | ||||
\(733\) | −5.52843 | + | 52.5995i | −0.204197 | + | 1.94281i | 0.111090 | + | 0.993810i | \(0.464566\pi\) |
−0.315287 | + | 0.948996i | \(0.602101\pi\) | |||||||
\(734\) | 0.976732 | + | 9.29298i | 0.0360518 | + | 0.343010i | ||||
\(735\) | −4.96826 | − | 2.64167i | −0.183257 | − | 0.0974396i | ||||
\(736\) | 6.61248 | − | 5.54853i | 0.243739 | − | 0.204522i | ||||
\(737\) | −0.931720 | − | 3.24752i | −0.0343203 | − | 0.119624i | ||||
\(738\) | −0.424280 | − | 2.40621i | −0.0156180 | − | 0.0885739i | ||||
\(739\) | −22.7335 | + | 29.0975i | −0.836264 | + | 1.07037i | 0.160261 | + | 0.987075i | \(0.448766\pi\) |
−0.996525 | + | 0.0832939i | \(0.973456\pi\) | |||||||
\(740\) | 8.37175 | − | 6.08243i | 0.307752 | − | 0.223595i | ||||
\(741\) | −9.43690 | + | 44.4898i | −0.346673 | + | 1.63437i | ||||
\(742\) | 8.44115 | + | 25.9792i | 0.309884 | + | 0.953725i | ||||
\(743\) | −0.0233715 | + | 0.669271i | −0.000857416 | + | 0.0245532i | −0.999744 | − | 0.0226203i | \(-0.992799\pi\) |
0.998887 | + | 0.0471735i | \(0.0150214\pi\) | |||||||
\(744\) | 0.675751 | − | 1.38550i | 0.0247742 | − | 0.0507947i | ||||
\(745\) | 17.0209 | + | 1.19022i | 0.623598 | + | 0.0436062i | ||||
\(746\) | 4.16304 | + | 10.3039i | 0.152420 | + | 0.377252i | ||||
\(747\) | −0.162817 | + | 0.923383i | −0.00595717 | + | 0.0337848i | ||||
\(748\) | −1.28867 | − | 9.15979i | −0.0471186 | − | 0.334915i | ||||
\(749\) | −27.6788 | − | 47.9410i | −1.01136 | − | 1.75173i | ||||
\(750\) | −0.333437 | − | 9.54838i | −0.0121754 | − | 0.348658i | ||||
\(751\) | 2.28744 | − | 3.39127i | 0.0834699 | − | 0.123749i | −0.784990 | − | 0.619508i | \(-0.787332\pi\) |
0.868460 | + | 0.495759i | \(0.165110\pi\) | |||||||
\(752\) | 0.708519 | − | 6.74110i | 0.0258370 | − | 0.245823i | ||||
\(753\) | 29.5030 | + | 6.27105i | 1.07515 | + | 0.228530i | ||||
\(754\) | 28.4985 | − | 4.00521i | 1.03785 | − | 0.145861i | ||||
\(755\) | −41.2744 | + | 2.88619i | −1.50213 | + | 0.105039i | ||||
\(756\) | −15.3198 | − | 1.07127i | −0.557176 | − | 0.0389615i | ||||
\(757\) | −21.8844 | − | 3.07565i | −0.795402 | − | 0.111786i | −0.270245 | − | 0.962792i | \(-0.587105\pi\) |
−0.525157 | + | 0.851005i | \(0.675994\pi\) | |||||||
\(758\) | −10.6227 | − | 3.86635i | −0.385834 | − | 0.140432i | ||||
\(759\) | −47.7522 | + | 1.67446i | −1.73330 | + | 0.0607790i | ||||
\(760\) | −0.863742 | − | 12.2773i | −0.0313312 | − | 0.445346i | ||||
\(761\) | −11.4780 | + | 35.3257i | −0.416077 | + | 1.28055i | 0.495207 | + | 0.868775i | \(0.335092\pi\) |
−0.911284 | + | 0.411779i | \(0.864908\pi\) | |||||||
\(762\) | 23.3338 | − | 6.69086i | 0.845295 | − | 0.242384i | ||||
\(763\) | −8.27279 | + | 16.9617i | −0.299495 | + | 0.614056i | ||||
\(764\) | 5.24922 | − | 12.9923i | 0.189910 | − | 0.470044i | ||||
\(765\) | 1.43233 | + | 0.895020i | 0.0517860 | + | 0.0323595i | ||||
\(766\) | 5.71312 | − | 5.51709i | 0.206423 | − | 0.199341i | ||||
\(767\) | 6.48008 | + | 61.6538i | 0.233982 | + | 2.22619i | ||||
\(768\) | 1.63252 | − | 0.347002i | 0.0589084 | − | 0.0125214i | ||||
\(769\) | −20.4965 | + | 7.46013i | −0.739124 | + | 0.269019i | −0.684022 | − | 0.729462i | \(-0.739771\pi\) |
−0.0551021 | + | 0.998481i | \(0.517548\pi\) | |||||||
\(770\) | 17.2340 | + | 20.5327i | 0.621072 | + | 0.739947i | ||||
\(771\) | −12.3952 | − | 21.4691i | −0.446401 | − | 0.773189i | ||||
\(772\) | −15.5283 | − | 17.2459i | −0.558877 | − | 0.620695i | ||||
\(773\) | −4.09032 | − | 8.38639i | −0.147118 | − | 0.301638i | 0.812491 | − | 0.582974i | \(-0.198111\pi\) |
−0.959609 | + | 0.281337i | \(0.909222\pi\) | |||||||
\(774\) | 1.07822 | − | 0.0753966i | 0.0387559 | − | 0.00271008i | ||||
\(775\) | 1.02849 | − | 2.54561i | 0.0369446 | − | 0.0914412i | ||||
\(776\) | −0.0977042 | + | 0.0519503i | −0.00350738 | + | 0.00186491i | ||||
\(777\) | −9.79090 | − | 14.5156i | −0.351247 | − | 0.520745i | ||||
\(778\) | −14.0304 | + | 10.1937i | −0.503014 | + | 0.365461i | ||||
\(779\) | −13.7076 | − | 47.7277i | −0.491125 | − | 1.71002i | ||||
\(780\) | −29.4605 | −1.05485 | ||||||||
\(781\) | 4.51213 | − | 6.21230i | 0.161457 | − | 0.222294i | ||||
\(782\) | 4.18048 | + | 23.7087i | 0.149494 | + | 0.847820i | ||||
\(783\) | −20.9444 | + | 13.0875i | −0.748490 | + | 0.467709i | ||||
\(784\) | −0.288863 | + | 1.15857i | −0.0103165 | + | 0.0413773i | ||||
\(785\) | −10.0437 | + | 9.69909i | −0.358475 | + | 0.346175i | ||||
\(786\) | 28.2484 | + | 6.00438i | 1.00759 | + | 0.214169i | ||||
\(787\) | −7.55082 | + | 8.38603i | −0.269158 | + | 0.298930i | −0.862538 | − | 0.505992i | \(-0.831126\pi\) |
0.593380 | + | 0.804922i | \(0.297793\pi\) | |||||||
\(788\) | 10.1106 | + | 2.89918i | 0.360176 | + | 0.103279i | ||||
\(789\) | −17.0622 | + | 25.2957i | −0.607430 | + | 0.900552i | ||||
\(790\) | −33.9508 | + | 7.21646i | −1.20792 | + | 0.256750i | ||||
\(791\) | −21.1115 | + | 36.5662i | −0.750638 | + | 1.30014i | ||||
\(792\) | 0.639389 | + | 0.311736i | 0.0227197 | + | 0.0110771i | ||||
\(793\) | −34.3422 | + | 28.8166i | −1.21953 | + | 1.02331i | ||||
\(794\) | 25.7328 | − | 16.0797i | 0.913224 | − | 0.570646i | ||||
\(795\) | −32.3487 | − | 31.2388i | −1.14729 | − | 1.10793i | ||||
\(796\) | 4.68126 | + | 6.94025i | 0.165923 | + | 0.245991i | ||||
\(797\) | 6.75861 | + | 20.8009i | 0.239402 | + | 0.736804i | 0.996507 | + | 0.0835106i | \(0.0266132\pi\) |
−0.757105 | + | 0.653294i | \(0.773387\pi\) | |||||||
\(798\) | −20.8117 | + | 0.735589i | −0.736727 | + | 0.0260396i | ||||
\(799\) | 15.2939 | + | 11.1117i | 0.541061 | + | 0.393104i | ||||
\(800\) | 2.85744 | − | 0.819357i | 0.101026 | − | 0.0289687i | ||||
\(801\) | −2.54687 | − | 0.357939i | −0.0899891 | − | 0.0126471i | ||||
\(802\) | −15.3228 | − | 12.8574i | −0.541067 | − | 0.454009i | ||||
\(803\) | 4.08745 | + | 2.35910i | 0.144243 | + | 0.0832510i | ||||
\(804\) | −0.295227 | + | 1.67431i | −0.0104118 | + | 0.0590485i | ||||
\(805\) | −46.6842 | − | 51.8481i | −1.64540 | − | 1.82740i | ||||
\(806\) | 5.27483 | + | 2.34850i | 0.185798 | + | 0.0827225i | ||||
\(807\) | −39.1680 | − | 11.2312i | −1.37878 | − | 0.395359i | ||||
\(808\) | 8.27124 | + | 10.5867i | 0.290981 | + | 0.372439i | ||||
\(809\) | 26.2462 | − | 29.1493i | 0.922766 | − | 1.02484i | −0.0768476 | − | 0.997043i | \(-0.524485\pi\) |
0.999614 | − | 0.0277928i | \(-0.00884786\pi\) | |||||||
\(810\) | 21.4368 | − | 9.54430i | 0.753214 | − | 0.335352i | ||||
\(811\) | 8.98730 | + | 18.4267i | 0.315587 | + | 0.647049i | 0.996341 | − | 0.0854628i | \(-0.0272369\pi\) |
−0.680755 | + | 0.732512i | \(0.738348\pi\) | |||||||
\(812\) | 4.93636 | + | 12.2179i | 0.173232 | + | 0.428765i | ||||
\(813\) | −19.0188 | − | 15.9587i | −0.667020 | − | 0.559696i | ||||
\(814\) | 2.52889 | + | 11.8890i | 0.0886374 | + | 0.416710i | ||||
\(815\) | 33.5047 | + | 12.1947i | 1.17362 | + | 0.427162i | ||||
\(816\) | −1.43840 | + | 4.42695i | −0.0503542 | + | 0.154974i | ||||
\(817\) | 21.6314 | − | 3.82365i | 0.756788 | − | 0.133773i | ||||
\(818\) | 16.1761 | + | 11.7526i | 0.565584 | + | 0.410921i | ||||
\(819\) | 0.133947 | − | 3.83574i | 0.00468048 | − | 0.134032i | ||||
\(820\) | 28.4014 | − | 15.1013i | 0.991819 | − | 0.527359i | ||||
\(821\) | 5.03534 | + | 20.1956i | 0.175734 | + | 0.704832i | 0.991901 | + | 0.127015i | \(0.0405398\pi\) |
−0.816166 | + | 0.577817i | \(0.803905\pi\) | |||||||
\(822\) | 4.77642 | − | 19.1572i | 0.166597 | − | 0.668184i | ||||
\(823\) | 41.0260 | + | 21.8139i | 1.43008 | + | 0.760385i | 0.990460 | − | 0.137800i | \(-0.0440032\pi\) |
0.439617 | + | 0.898186i | \(0.355114\pi\) | |||||||
\(824\) | −0.469221 | + | 0.812715i | −0.0163461 | + | 0.0283123i | ||||
\(825\) | −15.2573 | − | 6.16176i | −0.531189 | − | 0.214525i | ||||
\(826\) | −26.6743 | + | 9.70866i | −0.928119 | + | 0.337808i | ||||
\(827\) | −0.546241 | − | 15.6423i | −0.0189947 | − | 0.543936i | −0.971171 | − | 0.238386i | \(-0.923382\pi\) |
0.952176 | − | 0.305550i | \(-0.0988404\pi\) | |||||||
\(828\) | −1.69129 | − | 0.753012i | −0.0587765 | − | 0.0261690i | ||||
\(829\) | 24.0089 | − | 10.6894i | 0.833862 | − | 0.371259i | 0.0550247 | − | 0.998485i | \(-0.482476\pi\) |
0.778838 | + | 0.627226i | \(0.215810\pi\) | |||||||
\(830\) | −12.2238 | + | 1.71794i | −0.424293 | + | 0.0596305i | ||||
\(831\) | 12.9071 | + | 8.06527i | 0.447743 | + | 0.279781i | ||||
\(832\) | 1.51238 | + | 6.06584i | 0.0524324 | + | 0.210295i | ||||
\(833\) | −2.39550 | − | 2.31331i | −0.0829991 | − | 0.0801513i | ||||
\(834\) | −8.55544 | + | 10.9505i | −0.296251 | + | 0.379183i | ||||
\(835\) | 28.0733 | 0.971516 | ||||||||
\(836\) | 13.5878 | + | 4.93681i | 0.469943 | + | 0.170743i | ||||
\(837\) | −4.95513 | −0.171274 | ||||||||
\(838\) | −13.8255 | + | 17.6959i | −0.477595 | + | 0.611294i | ||||
\(839\) | −20.1866 | − | 19.4939i | −0.696918 | − | 0.673006i | 0.259255 | − | 0.965809i | \(-0.416523\pi\) |
−0.956173 | + | 0.292803i | \(0.905412\pi\) | |||||||
\(840\) | −3.26345 | − | 13.0890i | −0.112600 | − | 0.451613i | ||||
\(841\) | −6.62181 | − | 4.13777i | −0.228338 | − | 0.142682i | ||||
\(842\) | −11.3712 | + | 1.59812i | −0.391879 | + | 0.0550750i | ||||
\(843\) | 25.5332 | − | 11.3681i | 0.879410 | − | 0.391539i | ||||
\(844\) | −6.26134 | − | 2.78773i | −0.215524 | − | 0.0959575i | ||||
\(845\) | −2.57013 | − | 73.5988i | −0.0884150 | − | 2.53188i | ||||
\(846\) | −1.36609 | + | 0.497217i | −0.0469673 | + | 0.0170947i | ||||
\(847\) | −30.2655 | + | 8.68795i | −1.03993 | + | 0.298522i | ||||
\(848\) | −4.77134 | + | 8.26420i | −0.163848 | + | 0.283794i | ||||
\(849\) | −30.1603 | − | 16.0365i | −1.03510 | − | 0.550371i | ||||
\(850\) | −2.00565 | + | 8.04423i | −0.0687933 | + | 0.275915i | ||||
\(851\) | −7.65322 | − | 30.6954i | −0.262349 | − | 1.05223i | ||||
\(852\) | −3.41147 | + | 1.81391i | −0.116875 | + | 0.0621435i | ||||
\(853\) | −0.453211 | + | 12.9783i | −0.0155176 | + | 0.444367i | 0.966621 | + | 0.256210i | \(0.0824737\pi\) |
−0.982139 | + | 0.188157i | \(0.939748\pi\) | |||||||
\(854\) | −16.6071 | − | 12.0658i | −0.568284 | − | 0.412883i | ||||
\(855\) | −2.28549 | + | 1.32082i | −0.0781620 | + | 0.0451710i | ||||
\(856\) | 5.97599 | − | 18.3922i | 0.204255 | − | 0.628633i | ||||
\(857\) | −20.4588 | − | 7.44638i | −0.698858 | − | 0.254363i | −0.0319346 | − | 0.999490i | \(-0.510167\pi\) |
−0.666923 | + | 0.745127i | \(0.732389\pi\) | |||||||
\(858\) | 14.0705 | − | 31.6151i | 0.480358 | − | 1.07932i | ||||
\(859\) | 9.49431 | + | 7.96667i | 0.323942 | + | 0.271819i | 0.790226 | − | 0.612816i | \(-0.209963\pi\) |
−0.466284 | + | 0.884635i | \(0.654408\pi\) | |||||||
\(860\) | 5.33046 | + | 13.1933i | 0.181767 | + | 0.449889i | ||||
\(861\) | −23.8588 | − | 48.9178i | −0.813106 | − | 1.66711i | ||||
\(862\) | −23.1654 | + | 10.3139i | −0.789016 | + | 0.351293i | ||||
\(863\) | −8.04912 | + | 8.93945i | −0.273995 | + | 0.304303i | −0.864400 | − | 0.502805i | \(-0.832301\pi\) |
0.590405 | + | 0.807107i | \(0.298968\pi\) | |||||||
\(864\) | −3.30298 | − | 4.22762i | −0.112370 | − | 0.143826i | ||||
\(865\) | 0.593729 | + | 0.170249i | 0.0201874 | + | 0.00578864i | ||||
\(866\) | −17.0467 | − | 7.58970i | −0.579272 | − | 0.257908i | ||||
\(867\) | 10.2984 | + | 11.4376i | 0.349753 | + | 0.388440i | ||||
\(868\) | −0.459103 | + | 2.60371i | −0.0155830 | + | 0.0883755i | ||||
\(869\) | 8.47082 | − | 39.8804i | 0.287353 | − | 1.35285i | ||||
\(870\) | −16.6184 | − | 13.9445i | −0.563418 | − | 0.472764i | ||||
\(871\) | −6.30625 | − | 0.886286i | −0.213679 | − | 0.0300307i | ||||
\(872\) | −6.33728 | + | 1.81719i | −0.214607 | + | 0.0615377i | ||||
\(873\) | 0.0192006 | + | 0.0139500i | 0.000649841 | + | 0.000472137i | ||||
\(874\) | −35.7893 | − | 11.6119i | −1.21059 | − | 0.392778i | ||||
\(875\) | 5.06375 | + | 15.5846i | 0.171186 | + | 0.526856i | ||||
\(876\) | −1.32802 | − | 1.96887i | −0.0448696 | − | 0.0665220i | ||||
\(877\) | 24.9150 | + | 24.0601i | 0.841318 | + | 0.812452i | 0.984158 | − | 0.177294i | \(-0.0567344\pi\) |
−0.142840 | + | 0.989746i | \(0.545623\pi\) | |||||||
\(878\) | 8.11196 | − | 5.06892i | 0.273765 | − | 0.171068i | ||||
\(879\) | −5.17137 | + | 4.33930i | −0.174426 | + | 0.146361i | ||||
\(880\) | −1.30198 | + | 9.27380i | −0.0438897 | + | 0.312620i | ||||
\(881\) | −22.9162 | + | 39.6921i | −0.772068 | + | 1.33726i | 0.164360 | + | 0.986400i | \(0.447444\pi\) |
−0.936428 | + | 0.350861i | \(0.885889\pi\) | |||||||
\(882\) | 0.250495 | − | 0.0532443i | 0.00843460 | − | 0.00179283i | ||||
\(883\) | −24.6664 | + | 36.5695i | −0.830091 | + | 1.23066i | 0.140537 | + | 0.990075i | \(0.455117\pi\) |
−0.970628 | + | 0.240585i | \(0.922661\pi\) | |||||||
\(884\) | −16.7600 | − | 4.80585i | −0.563699 | − | 0.161638i | ||||
\(885\) | 31.2696 | − | 34.7285i | 1.05112 | − | 1.16738i | ||||
\(886\) | 7.72599 | + | 1.64221i | 0.259560 | + | 0.0551711i | ||||
\(887\) | 17.9074 | − | 17.2930i | 0.601271 | − | 0.580641i | −0.330446 | − | 0.943825i | \(-0.607199\pi\) |
0.931717 | + | 0.363184i | \(0.118310\pi\) | |||||||
\(888\) | 1.47975 | − | 5.93494i | 0.0496570 | − | 0.199164i | ||||
\(889\) | −35.3069 | + | 22.0622i | −1.18416 | + | 0.739943i | ||||
\(890\) | −5.87957 | − | 33.3447i | −0.197084 | − | 1.11772i | ||||
\(891\) | 0.00398538 | + | 27.5631i | 0.000133515 | + | 0.923397i | ||||
\(892\) | 15.0299 | 0.503239 | ||||||||
\(893\) | −26.5500 | + | 12.9632i | −0.888460 | + | 0.433797i | ||||
\(894\) | 8.15931 | − | 5.92809i | 0.272888 | − | 0.198265i | ||||
\(895\) | −10.0173 | − | 14.8512i | −0.334840 | − | 0.496421i | ||||
\(896\) | −2.52746 | + | 1.34387i | −0.0844364 | + | 0.0448956i | ||||
\(897\) | −33.7385 | + | 83.5058i | −1.12650 | + | 2.78818i | ||||
\(898\) | 2.61170 | − | 0.182628i | 0.0871534 | − | 0.00609436i | ||||
\(899\) | 1.86387 | + | 3.82151i | 0.0621636 | + | 0.127454i | ||||
\(900\) | −0.426603 | − | 0.473791i | −0.0142201 | − | 0.0157930i | ||||
\(901\) | −13.3072 | − | 23.0487i | −0.443326 | − | 0.767863i | ||||
\(902\) | 2.64109 | + | 37.6910i | 0.0879385 | + | 1.25497i | ||||
\(903\) | 22.6244 | − | 8.23462i | 0.752894 | − | 0.274031i | ||||
\(904\) | −14.4279 | + | 3.06675i | −0.479866 | + | 0.101999i | ||||
\(905\) | 4.77162 | + | 45.3990i | 0.158614 | + | 1.50911i | ||||
\(906\) | −17.5925 | + | 16.9889i | −0.584472 | + | 0.564418i | ||||
\(907\) | 19.3590 | + | 12.0969i | 0.642806 | + | 0.401670i | 0.811790 | − | 0.583949i | \(-0.198493\pi\) |
−0.168984 | + | 0.985619i | \(0.554049\pi\) | |||||||
\(908\) | 7.80792 | − | 19.3253i | 0.259115 | − | 0.641332i | ||||
\(909\) | 1.26313 | − | 2.58980i | 0.0418954 | − | 0.0858984i | ||||
\(910\) | 48.5710 | − | 13.9275i | 1.61011 | − | 0.461692i | ||||
\(911\) | 13.9150 | − | 42.8259i | 0.461024 | − | 1.41889i | −0.402890 | − | 0.915248i | \(-0.631994\pi\) |
0.863915 | − | 0.503638i | \(-0.168006\pi\) | |||||||
\(912\) | −5.05582 | − | 5.23102i | −0.167415 | − | 0.173216i | ||||
\(913\) | 3.99455 | − | 13.9383i | 0.132200 | − | 0.461289i | ||||
\(914\) | −2.31614 | − | 0.843005i | −0.0766110 | − | 0.0278841i | ||||
\(915\) | 33.4652 | + | 4.70323i | 1.10633 | + | 0.155484i | ||||
\(916\) | 7.87183 | + | 0.550452i | 0.260093 | + | 0.0181874i | ||||
\(917\) | −49.4112 | + | 3.45517i | −1.63170 | + | 0.114100i | ||||
\(918\) | 14.8170 | − | 2.08240i | 0.489035 | − | 0.0687294i | ||||
\(919\) | 1.97575 | + | 0.419958i | 0.0651738 | + | 0.0138531i | 0.240383 | − | 0.970678i | \(-0.422727\pi\) |
−0.175209 | + | 0.984531i | \(0.556060\pi\) | |||||||
\(920\) | 2.54768 | − | 24.2396i | 0.0839945 | − | 0.799155i | ||||
\(921\) | 14.4002 | − | 21.3491i | 0.474502 | − | 0.703478i | ||||
\(922\) | −0.325422 | − | 9.31887i | −0.0107172 | − | 0.306901i | ||||
\(923\) | −7.23618 | − | 12.5334i | −0.238182 | − | 0.412543i | ||||
\(924\) | 15.6049 | + | 2.74924i | 0.513364 | + | 0.0904434i | ||||
\(925\) | 1.89175 | − | 10.7287i | 0.0622004 | − | 0.352756i | ||||
\(926\) | 5.03142 | + | 12.4532i | 0.165343 | + | 0.409237i | ||||
\(927\) | 0.200783 | + | 0.0140401i | 0.00659457 | + | 0.000461137i | ||||
\(928\) | −2.01802 | + | 4.13755i | −0.0662447 | + | 0.135822i | ||||
\(929\) | −1.08013 | + | 30.9309i | −0.0354379 | + | 1.01481i | 0.843282 | + | 0.537471i | \(0.180620\pi\) |
−0.878720 | + | 0.477337i | \(0.841602\pi\) | |||||||
\(930\) | −1.34501 | − | 4.13953i | −0.0441048 | − | 0.135741i | ||||
\(931\) | 4.94926 | − | 1.61043i | 0.162205 | − | 0.0527797i | ||||
\(932\) | −14.6349 | + | 10.6329i | −0.479382 | + | 0.348291i | ||||
\(933\) | 16.2430 | − | 20.7901i | 0.531773 | − | 0.680639i | ||||
\(934\) | 5.58989 | + | 31.7018i | 0.182907 | + | 1.03732i | ||||
\(935\) | −20.5837 | − | 16.0769i | −0.673157 | − | 0.525771i | ||||
\(936\) | 1.02711 | − | 0.861851i | 0.0335723 | − | 0.0281705i | ||||
\(937\) | −12.3222 | − | 6.55183i | −0.402549 | − | 0.214039i | 0.255837 | − | 0.966720i | \(-0.417649\pi\) |
−0.658385 | + | 0.752681i | \(0.728760\pi\) | |||||||
\(938\) | −0.304800 | − | 2.89998i | −0.00995208 | − | 0.0946877i | ||||
\(939\) | 0.949629 | − | 9.03511i | 0.0309900 | − | 0.294850i | ||||
\(940\) | −11.7831 | − | 15.0816i | −0.384321 | − | 0.491909i | ||||
\(941\) | −25.2224 | − | 32.2833i | −0.822228 | − | 1.05240i | −0.997691 | − | 0.0679179i | \(-0.978364\pi\) |
0.175463 | − | 0.984486i | \(-0.443858\pi\) | |||||||
\(942\) | −0.862676 | + | 8.20782i | −0.0281075 | + | 0.267425i | ||||
\(943\) | −10.2790 | − | 97.7979i | −0.334729 | − | 3.18474i | ||||
\(944\) | −8.75576 | − | 4.65552i | −0.284976 | − | 0.151524i | ||||
\(945\) | −33.2174 | + | 27.8727i | −1.08056 | + | 0.906700i | ||||
\(946\) | −16.7041 | − | 0.580902i | −0.543097 | − | 0.0188868i | ||||
\(947\) | 5.83666 | + | 33.1013i | 0.189666 | + | 1.07565i | 0.919813 | + | 0.392358i | \(0.128341\pi\) |
−0.730147 | + | 0.683290i | \(0.760548\pi\) | |||||||
\(948\) | −12.6311 | + | 16.1671i | −0.410239 | + | 0.525082i | ||||
\(949\) | 7.19671 | − | 5.22871i | 0.233615 | − | 0.169731i | ||||
\(950\) | −9.63277 | − | 8.66600i | −0.312528 | − | 0.281162i | ||||
\(951\) | 7.72184 | + | 23.7654i | 0.250398 | + | 0.770645i | ||||
\(952\) | 0.278621 | − | 7.97865i | 0.00903014 | − | 0.258590i | ||||
\(953\) | 12.6667 | − | 25.9705i | 0.410314 | − | 0.841268i | −0.589134 | − | 0.808035i | \(-0.700531\pi\) |
0.999448 | − | 0.0332322i | \(-0.0105801\pi\) | |||||||
\(954\) | 2.04169 | + | 0.142769i | 0.0661020 | + | 0.00462230i | ||||
\(955\) | −14.8216 | − | 36.6847i | −0.479615 | − | 1.18709i | ||||
\(956\) | −2.20099 | + | 12.4824i | −0.0711851 | + | 0.403711i | ||||
\(957\) | 22.9014 | − | 11.1739i | 0.740298 | − | 0.361200i | ||||
\(958\) | 10.2017 | + | 17.6699i | 0.329603 | + | 0.570890i | ||||
\(959\) | 1.18180 | + | 33.8422i | 0.0381622 | + | 1.09282i | ||||
\(960\) | 2.63521 | − | 3.90686i | 0.0850510 | − | 0.126093i | ||||
\(961\) | 3.15121 | − | 29.9818i | 0.101652 | − | 0.967154i | ||||
\(962\) | 22.4104 | + | 4.76348i | 0.722540 | + | 0.153581i | ||||
\(963\) | −4.10732 | + | 0.577246i | −0.132357 | + | 0.0186015i | ||||
\(964\) | 5.70608 | − | 0.399008i | 0.183781 | − | 0.0128512i | ||||
\(965\) | −65.3663 | − | 4.57086i | −2.10422 | − | 0.147141i | ||||
\(966\) | −40.8381 | − | 5.73942i | −1.31394 | − | 0.184663i | ||||
\(967\) | −31.7186 | − | 11.5446i | −1.02000 | − | 0.371250i | −0.222736 | − | 0.974879i | \(-0.571499\pi\) |
−0.797265 | + | 0.603629i | \(0.793721\pi\) | |||||||
\(968\) | −9.33021 | − | 5.82641i | −0.299884 | − | 0.187268i | ||||
\(969\) | 19.6849 | − | 4.91686i | 0.632371 | − | 0.157952i | ||||
\(970\) | −0.0965519 | + | 0.297156i | −0.00310009 | + | 0.00954111i | ||||
\(971\) | 46.3767 | − | 13.2983i | 1.48830 | − | 0.426763i | 0.569667 | − | 0.821876i | \(-0.307072\pi\) |
0.918633 | + | 0.395113i | \(0.129294\pi\) | |||||||
\(972\) | −0.975165 | + | 1.99938i | −0.0312784 | + | 0.0641303i | ||||
\(973\) | 8.92835 | − | 22.0984i | 0.286230 | − | 0.708443i | ||||
\(974\) | −20.4688 | − | 12.7903i | −0.655864 | − | 0.409829i | ||||
\(975\) | −22.3105 | + | 21.5450i | −0.714508 | + | 0.689992i | ||||
\(976\) | −0.749588 | − | 7.13185i | −0.0239937 | − | 0.228285i | ||||
\(977\) | 14.9548 | − | 3.17874i | 0.478446 | − | 0.101697i | 0.0376253 | − | 0.999292i | \(-0.488021\pi\) |
0.440821 | + | 0.897595i | \(0.354687\pi\) | |||||||
\(978\) | 19.8043 | − | 7.20818i | 0.633272 | − | 0.230492i | ||||
\(979\) | 38.5915 | + | 9.61602i | 1.23339 | + | 0.307329i | ||||
\(980\) | 1.68572 | + | 2.91976i | 0.0538485 | + | 0.0932683i | ||||
\(981\) | 0.946128 | + | 1.05078i | 0.0302076 | + | 0.0335489i | ||||
\(982\) | −3.90290 | − | 8.00213i | −0.124547 | − | 0.255358i | ||||
\(983\) | 2.25322 | − | 0.157560i | 0.0718665 | − | 0.00502539i | −0.0337780 | − | 0.999429i | \(-0.510754\pi\) |
0.105644 | + | 0.994404i | \(0.466309\pi\) | |||||||
\(984\) | 7.12252 | − | 17.6288i | 0.227058 | − | 0.561987i | ||||
\(985\) | 26.2223 | − | 13.9427i | 0.835513 | − | 0.444250i | ||||
\(986\) | −7.17943 | − | 10.6439i | −0.228639 | − | 0.338972i | ||||
\(987\) | −26.1985 | + | 19.0343i | −0.833908 | + | 0.605870i | ||||
\(988\) | 18.9210 | − | 19.6099i | 0.601957 | − | 0.623874i | ||||
\(989\) | 43.5011 | 1.38325 | ||||||||
\(990\) | 1.91012 | − | 0.620940i | 0.0607075 | − | 0.0197348i | ||||
\(991\) | −7.19519 | − | 40.8060i | −0.228563 | − | 1.29624i | −0.855756 | − | 0.517380i | \(-0.826907\pi\) |
0.627193 | − | 0.778864i | \(-0.284204\pi\) | |||||||
\(992\) | −0.783271 | + | 0.489442i | −0.0248689 | + | 0.0155398i | ||||
\(993\) | 7.25838 | − | 29.1118i | 0.230338 | − | 0.923834i | ||||
\(994\) | 4.76690 | − | 4.60334i | 0.151197 | − | 0.146009i | ||||
\(995\) | 23.1209 | + | 4.91450i | 0.732982 | + | 0.155800i | ||||
\(996\) | −4.88221 | + | 5.42225i | −0.154699 | + | 0.171810i | ||||
\(997\) | −9.53560 | − | 2.73429i | −0.301995 | − | 0.0865958i | 0.121218 | − | 0.992626i | \(-0.461320\pi\) |
−0.423213 | + | 0.906030i | \(0.639098\pi\) | |||||||
\(998\) | 1.23266 | − | 1.82749i | 0.0390190 | − | 0.0578481i | ||||
\(999\) | −19.2321 | + | 4.08791i | −0.608477 | + | 0.129336i |
(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 | 418.2.u.b.251.8 | yes | 264 | |
11.5 | even | 5 | inner | 418.2.u.b.137.4 | yes | 264 | |
19.5 | even | 9 | inner | 418.2.u.b.119.4 | yes | 264 | |
209.5 | even | 45 | inner | 418.2.u.b.5.8 | ✓ | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.u.b.5.8 | ✓ | 264 | 209.5 | even | 45 | inner | |
418.2.u.b.119.4 | yes | 264 | 19.5 | even | 9 | inner | |
418.2.u.b.137.4 | yes | 264 | 11.5 | even | 5 | inner | |
418.2.u.b.251.8 | yes | 264 | 1.1 | even | 1 | trivial |