Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Character | \(\chi\) | \(=\) | 966.127 |
Dual form | 966.2.q.j.715.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841254 | − | 0.540641i | 0.594856 | − | 0.382291i | ||||
\(3\) | 0.142315 | − | 0.989821i | 0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | −3.54832 | + | 1.04188i | −1.58686 | + | 0.465943i | −0.951850 | − | 0.306565i | \(-0.900820\pi\) |
−0.635005 | + | 0.772508i | \(0.719002\pi\) | |||||||
\(6\) | −0.415415 | − | 0.909632i | −0.169592 | − | 0.371356i | ||||
\(7\) | 0.654861 | + | 0.755750i | 0.247514 | + | 0.285646i | ||||
\(8\) | −0.142315 | − | 0.989821i | −0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | − | 0.281733i | −0.319831 | − | 0.0939109i | ||||
\(10\) | −2.42175 | + | 2.79485i | −0.765825 | + | 0.883809i | ||||
\(11\) | 0.316339 | + | 0.203298i | 0.0953797 | + | 0.0612968i | 0.587461 | − | 0.809252i | \(-0.300127\pi\) |
−0.492082 | + | 0.870549i | \(0.663764\pi\) | |||||||
\(12\) | −0.841254 | − | 0.540641i | −0.242849 | − | 0.156070i | ||||
\(13\) | −3.08609 | + | 3.56154i | −0.855927 | + | 0.987793i | −0.999998 | − | 0.00177458i | \(-0.999435\pi\) |
0.144071 | + | 0.989567i | \(0.453981\pi\) | |||||||
\(14\) | 0.959493 | + | 0.281733i | 0.256435 | + | 0.0752962i | ||||
\(15\) | 0.526297 | + | 3.66047i | 0.135889 | + | 0.945130i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 1.83439 | + | 4.01675i | 0.444904 | + | 0.974205i | 0.990672 | + | 0.136268i | \(0.0435109\pi\) |
−0.545768 | + | 0.837937i | \(0.683762\pi\) | |||||||
\(18\) | −0.959493 | + | 0.281733i | −0.226155 | + | 0.0664050i | ||||
\(19\) | −0.938589 | + | 2.05522i | −0.215327 | + | 0.471501i | −0.986215 | − | 0.165471i | \(-0.947086\pi\) |
0.770888 | + | 0.636971i | \(0.219813\pi\) | |||||||
\(20\) | −0.526297 | + | 3.66047i | −0.117684 | + | 0.818507i | ||||
\(21\) | 0.841254 | − | 0.540641i | 0.183577 | − | 0.117977i | ||||
\(22\) | 0.376032 | 0.0801704 | ||||||||
\(23\) | −3.55545 | + | 3.21850i | −0.741363 | + | 0.671104i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 7.29877 | − | 4.69063i | 1.45975 | − | 0.938126i | ||||
\(26\) | −0.670671 | + | 4.66462i | −0.131529 | + | 0.914808i | ||||
\(27\) | −0.415415 | + | 0.909632i | −0.0799467 | + | 0.175059i | ||||
\(28\) | 0.959493 | − | 0.281733i | 0.181327 | − | 0.0532424i | ||||
\(29\) | 2.67303 | + | 5.85312i | 0.496369 | + | 1.08690i | 0.977633 | + | 0.210320i | \(0.0674507\pi\) |
−0.481264 | + | 0.876576i | \(0.659822\pi\) | |||||||
\(30\) | 2.42175 | + | 2.79485i | 0.442149 | + | 0.510267i | ||||
\(31\) | −1.03151 | − | 7.17433i | −0.185265 | − | 1.28855i | −0.844070 | − | 0.536234i | \(-0.819847\pi\) |
0.658804 | − | 0.752314i | \(-0.271062\pi\) | |||||||
\(32\) | −0.959493 | − | 0.281733i | −0.169616 | − | 0.0498038i | ||||
\(33\) | 0.246249 | − | 0.284186i | 0.0428664 | − | 0.0494705i | ||||
\(34\) | 3.71480 | + | 2.38736i | 0.637084 | + | 0.409429i | ||||
\(35\) | −3.11105 | − | 1.99935i | −0.525864 | − | 0.337952i | ||||
\(36\) | −0.654861 | + | 0.755750i | −0.109143 | + | 0.125958i | ||||
\(37\) | 8.09327 | + | 2.37640i | 1.33053 | + | 0.390678i | 0.868280 | − | 0.496074i | \(-0.165226\pi\) |
0.462246 | + | 0.886752i | \(0.347044\pi\) | |||||||
\(38\) | 0.321546 | + | 2.23640i | 0.0521617 | + | 0.362793i | ||||
\(39\) | 3.08609 | + | 3.56154i | 0.494170 | + | 0.570302i | ||||
\(40\) | 1.53625 | + | 3.36392i | 0.242903 | + | 0.531883i | ||||
\(41\) | −2.40243 | + | 0.705417i | −0.375197 | + | 0.110168i | −0.463893 | − | 0.885891i | \(-0.653548\pi\) |
0.0886968 | + | 0.996059i | \(0.471730\pi\) | |||||||
\(42\) | 0.415415 | − | 0.909632i | 0.0640999 | − | 0.140359i | ||||
\(43\) | −0.614294 | + | 4.27251i | −0.0936789 | + | 0.651551i | 0.887835 | + | 0.460162i | \(0.152209\pi\) |
−0.981514 | + | 0.191390i | \(0.938701\pi\) | |||||||
\(44\) | 0.316339 | − | 0.203298i | 0.0476898 | − | 0.0306484i | ||||
\(45\) | 3.69812 | 0.551283 | ||||||||
\(46\) | −1.25098 | + | 4.62980i | −0.184447 | + | 0.682627i | ||||
\(47\) | −6.70478 | −0.977992 | −0.488996 | − | 0.872286i | \(-0.662637\pi\) | ||||
−0.488996 | + | 0.872286i | \(0.662637\pi\) | |||||||
\(48\) | −0.841254 | + | 0.540641i | −0.121424 | + | 0.0780348i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | 3.60417 | − | 7.89202i | 0.509706 | − | 1.11610i | ||||
\(51\) | 4.23693 | − | 1.24407i | 0.593288 | − | 0.174205i | ||||
\(52\) | 1.95768 | + | 4.28672i | 0.271481 | + | 0.594461i | ||||
\(53\) | −6.94596 | − | 8.01606i | −0.954101 | − | 1.10109i | −0.994793 | − | 0.101919i | \(-0.967502\pi\) |
0.0406920 | − | 0.999172i | \(-0.487044\pi\) | |||||||
\(54\) | 0.142315 | + | 0.989821i | 0.0193666 | + | 0.134698i | ||||
\(55\) | −1.33428 | − | 0.391780i | −0.179915 | − | 0.0528277i | ||||
\(56\) | 0.654861 | − | 0.755750i | 0.0875094 | − | 0.100991i | ||||
\(57\) | 1.90073 | + | 1.22152i | 0.251758 | + | 0.161795i | ||||
\(58\) | 5.41313 | + | 3.47881i | 0.710778 | + | 0.456790i | ||||
\(59\) | −9.56272 | + | 11.0360i | −1.24496 | + | 1.43676i | −0.387775 | + | 0.921754i | \(0.626756\pi\) |
−0.857186 | + | 0.515007i | \(0.827789\pi\) | |||||||
\(60\) | 3.54832 | + | 1.04188i | 0.458086 | + | 0.134506i | ||||
\(61\) | 1.28448 | + | 8.93376i | 0.164461 | + | 1.14385i | 0.890097 | + | 0.455772i | \(0.150637\pi\) |
−0.725636 | + | 0.688079i | \(0.758454\pi\) | |||||||
\(62\) | −4.74650 | − | 5.47775i | −0.602806 | − | 0.695675i | ||||
\(63\) | −0.415415 | − | 0.909632i | −0.0523374 | − | 0.114603i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | 7.23973 | − | 15.8528i | 0.897978 | − | 1.96630i | ||||
\(66\) | 0.0535150 | − | 0.372205i | 0.00658724 | − | 0.0458153i | ||||
\(67\) | 4.87876 | − | 3.13539i | 0.596036 | − | 0.383049i | −0.207562 | − | 0.978222i | \(-0.566553\pi\) |
0.803598 | + | 0.595173i | \(0.202916\pi\) | |||||||
\(68\) | 4.41580 | 0.535494 | ||||||||
\(69\) | 2.67975 | + | 3.97730i | 0.322604 | + | 0.478811i | ||||
\(70\) | −3.69812 | −0.442009 | ||||||||
\(71\) | −13.5463 | + | 8.70571i | −1.60766 | + | 1.03318i | −0.644365 | + | 0.764718i | \(0.722878\pi\) |
−0.963291 | + | 0.268459i | \(0.913486\pi\) | |||||||
\(72\) | −0.142315 | + | 0.989821i | −0.0167720 | + | 0.116652i | ||||
\(73\) | 1.68672 | − | 3.69340i | 0.197416 | − | 0.432280i | −0.784872 | − | 0.619658i | \(-0.787271\pi\) |
0.982288 | + | 0.187378i | \(0.0599988\pi\) | |||||||
\(74\) | 8.09327 | − | 2.37640i | 0.940824 | − | 0.276251i | ||||
\(75\) | −3.60417 | − | 7.89202i | −0.416173 | − | 0.911292i | ||||
\(76\) | 1.47959 | + | 1.70754i | 0.169721 | + | 0.195868i | ||||
\(77\) | 0.0535150 | + | 0.372205i | 0.00609860 | + | 0.0424167i | ||||
\(78\) | 4.52170 | + | 1.32769i | 0.511981 | + | 0.150331i | ||||
\(79\) | 4.94366 | − | 5.70529i | 0.556205 | − | 0.641895i | −0.406112 | − | 0.913823i | \(-0.633116\pi\) |
0.962318 | + | 0.271928i | \(0.0876612\pi\) | |||||||
\(80\) | 3.11105 | + | 1.99935i | 0.347826 | + | 0.223534i | ||||
\(81\) | 0.841254 | + | 0.540641i | 0.0934726 | + | 0.0600712i | ||||
\(82\) | −1.63968 | + | 1.89229i | −0.181072 | + | 0.208968i | ||||
\(83\) | 5.71412 | + | 1.67782i | 0.627206 | + | 0.184164i | 0.579862 | − | 0.814714i | \(-0.303106\pi\) |
0.0473435 | + | 0.998879i | \(0.484924\pi\) | |||||||
\(84\) | −0.142315 | − | 0.989821i | −0.0155278 | − | 0.107998i | ||||
\(85\) | −10.6940 | − | 12.3415i | −1.15992 | − | 1.33862i | ||||
\(86\) | 1.79311 | + | 3.92637i | 0.193357 | + | 0.423392i | ||||
\(87\) | 6.17395 | − | 1.81284i | 0.661917 | − | 0.194356i | ||||
\(88\) | 0.156209 | − | 0.342051i | 0.0166520 | − | 0.0364628i | ||||
\(89\) | −0.740414 | + | 5.14969i | −0.0784838 | + | 0.545867i | 0.912206 | + | 0.409731i | \(0.134377\pi\) |
−0.990690 | + | 0.136136i | \(0.956532\pi\) | |||||||
\(90\) | 3.11105 | − | 1.99935i | 0.327934 | − | 0.210750i | ||||
\(91\) | −4.71259 | −0.494014 | ||||||||
\(92\) | 1.45067 | + | 4.57117i | 0.151242 | + | 0.476577i | ||||
\(93\) | −7.24811 | −0.751594 | ||||||||
\(94\) | −5.64042 | + | 3.62488i | −0.581765 | + | 0.373877i | ||||
\(95\) | 1.18912 | − | 8.27048i | 0.122001 | − | 0.848533i | ||||
\(96\) | −0.415415 | + | 0.909632i | −0.0423981 | + | 0.0928389i | ||||
\(97\) | 3.46442 | − | 1.01724i | 0.351758 | − | 0.103286i | −0.101080 | − | 0.994878i | \(-0.532230\pi\) |
0.452838 | + | 0.891593i | \(0.350412\pi\) | |||||||
\(98\) | 0.415415 | + | 0.909632i | 0.0419633 | + | 0.0918867i | ||||
\(99\) | −0.246249 | − | 0.284186i | −0.0247489 | − | 0.0285618i | ||||
\(100\) | −1.23473 | − | 8.58775i | −0.123473 | − | 0.858775i | ||||
\(101\) | 3.23140 | + | 0.948824i | 0.321536 | + | 0.0944115i | 0.438518 | − | 0.898723i | \(-0.355504\pi\) |
−0.116982 | + | 0.993134i | \(0.537322\pi\) | |||||||
\(102\) | 2.89173 | − | 3.33724i | 0.286324 | − | 0.330436i | ||||
\(103\) | −9.39591 | − | 6.03838i | −0.925806 | − | 0.594980i | −0.0114694 | − | 0.999934i | \(-0.503651\pi\) |
−0.914337 | + | 0.404955i | \(0.867287\pi\) | |||||||
\(104\) | 3.96448 | + | 2.54782i | 0.388749 | + | 0.249834i | ||||
\(105\) | −2.42175 | + | 2.79485i | −0.236339 | + | 0.272749i | ||||
\(106\) | −10.1771 | − | 2.98827i | −0.988490 | − | 0.290247i | ||||
\(107\) | −2.08184 | − | 14.4795i | −0.201259 | − | 1.39978i | −0.800556 | − | 0.599258i | \(-0.795462\pi\) |
0.599297 | − | 0.800526i | \(-0.295447\pi\) | |||||||
\(108\) | 0.654861 | + | 0.755750i | 0.0630140 | + | 0.0727220i | ||||
\(109\) | 4.61536 | + | 10.1062i | 0.442071 | + | 0.968001i | 0.991213 | + | 0.132272i | \(0.0422274\pi\) |
−0.549142 | + | 0.835729i | \(0.685045\pi\) | |||||||
\(110\) | −1.33428 | + | 0.391780i | −0.127219 | + | 0.0373548i | ||||
\(111\) | 3.50400 | − | 7.67270i | 0.332585 | − | 0.728260i | ||||
\(112\) | 0.142315 | − | 0.989821i | 0.0134475 | − | 0.0935293i | ||||
\(113\) | 6.00789 | − | 3.86103i | 0.565174 | − | 0.363215i | −0.226639 | − | 0.973979i | \(-0.572774\pi\) |
0.791813 | + | 0.610763i | \(0.209137\pi\) | |||||||
\(114\) | 2.25940 | 0.211612 | ||||||||
\(115\) | 9.26257 | − | 15.1246i | 0.863739 | − | 1.41038i | ||||
\(116\) | 6.43460 | 0.597437 | ||||||||
\(117\) | 3.96448 | − | 2.54782i | 0.366517 | − | 0.235546i | ||||
\(118\) | −2.07818 | + | 14.4540i | −0.191312 | + | 1.33060i | ||||
\(119\) | −1.83439 | + | 4.01675i | −0.168158 | + | 0.368215i | ||||
\(120\) | 3.54832 | − | 1.04188i | 0.323915 | − | 0.0951102i | ||||
\(121\) | −4.51083 | − | 9.87733i | −0.410075 | − | 0.897939i | ||||
\(122\) | 5.91053 | + | 6.82111i | 0.535114 | + | 0.617554i | ||||
\(123\) | 0.356336 | + | 2.47837i | 0.0321297 | + | 0.223467i | ||||
\(124\) | −6.95451 | − | 2.04203i | −0.624533 | − | 0.183379i | ||||
\(125\) | −8.90250 | + | 10.2740i | −0.796264 | + | 0.918938i | ||||
\(126\) | −0.841254 | − | 0.540641i | −0.0749448 | − | 0.0481641i | ||||
\(127\) | −11.3585 | − | 7.29967i | −1.00791 | − | 0.647741i | −0.0710551 | − | 0.997472i | \(-0.522637\pi\) |
−0.936850 | + | 0.349731i | \(0.886273\pi\) | |||||||
\(128\) | −0.654861 | + | 0.755750i | −0.0578821 | + | 0.0667995i | ||||
\(129\) | 4.14160 | + | 1.21608i | 0.364647 | + | 0.107070i | ||||
\(130\) | −2.48022 | − | 17.2503i | −0.217530 | − | 1.51295i | ||||
\(131\) | −6.25612 | − | 7.21995i | −0.546600 | − | 0.630810i | 0.413487 | − | 0.910510i | \(-0.364311\pi\) |
−0.960088 | + | 0.279700i | \(0.909765\pi\) | |||||||
\(132\) | −0.156209 | − | 0.342051i | −0.0135963 | − | 0.0297717i | ||||
\(133\) | −2.16788 | + | 0.636547i | −0.187979 | + | 0.0551956i | ||||
\(134\) | 2.40916 | − | 5.27532i | 0.208119 | − | 0.455718i | ||||
\(135\) | 0.526297 | − | 3.66047i | 0.0452964 | − | 0.315043i | ||||
\(136\) | 3.71480 | − | 2.38736i | 0.318542 | − | 0.204714i | ||||
\(137\) | −7.88359 | −0.673540 | −0.336770 | − | 0.941587i | \(-0.609335\pi\) | ||||
−0.336770 | + | 0.941587i | \(0.609335\pi\) | |||||||
\(138\) | 4.40464 | + | 1.89714i | 0.374948 | + | 0.161495i | ||||
\(139\) | 7.92830 | 0.672470 | 0.336235 | − | 0.941778i | \(-0.390846\pi\) | ||||
0.336235 | + | 0.941778i | \(0.390846\pi\) | |||||||
\(140\) | −3.11105 | + | 1.99935i | −0.262932 | + | 0.168976i | ||||
\(141\) | −0.954189 | + | 6.63653i | −0.0803572 | + | 0.558897i | ||||
\(142\) | −6.68925 | + | 14.6474i | −0.561349 | + | 1.22918i | ||||
\(143\) | −1.70030 | + | 0.499254i | −0.142187 | + | 0.0417497i | ||||
\(144\) | 0.415415 | + | 0.909632i | 0.0346179 | + | 0.0758027i | ||||
\(145\) | −15.5830 | − | 17.9837i | −1.29410 | − | 1.49347i | ||||
\(146\) | −0.577845 | − | 4.01900i | −0.0478228 | − | 0.332615i | ||||
\(147\) | 0.959493 | + | 0.281733i | 0.0791376 | + | 0.0232369i | ||||
\(148\) | 5.52372 | − | 6.37471i | 0.454047 | − | 0.523998i | ||||
\(149\) | −9.27376 | − | 5.95988i | −0.759736 | − | 0.488253i | 0.102516 | − | 0.994731i | \(-0.467311\pi\) |
−0.862253 | + | 0.506479i | \(0.830947\pi\) | |||||||
\(150\) | −7.29877 | − | 4.69063i | −0.595942 | − | 0.382989i | ||||
\(151\) | −0.160746 | + | 0.185511i | −0.0130813 | + | 0.0150967i | −0.762253 | − | 0.647280i | \(-0.775907\pi\) |
0.749171 | + | 0.662376i | \(0.230452\pi\) | |||||||
\(152\) | 2.16788 | + | 0.636547i | 0.175838 | + | 0.0516308i | ||||
\(153\) | −0.628433 | − | 4.37085i | −0.0508058 | − | 0.353362i | ||||
\(154\) | 0.246249 | + | 0.284186i | 0.0198433 | + | 0.0229004i | ||||
\(155\) | 11.1349 | + | 24.3821i | 0.894378 | + | 1.95842i | ||||
\(156\) | 4.52170 | − | 1.32769i | 0.362025 | − | 0.106300i | ||||
\(157\) | −9.41332 | + | 20.6123i | −0.751264 | + | 1.64504i | 0.0128152 | + | 0.999918i | \(0.495921\pi\) |
−0.764080 | + | 0.645122i | \(0.776807\pi\) | |||||||
\(158\) | 1.07436 | − | 7.47234i | 0.0854715 | − | 0.594468i | ||||
\(159\) | −8.92298 | + | 5.73445i | −0.707639 | + | 0.454772i | ||||
\(160\) | 3.69812 | 0.292362 | ||||||||
\(161\) | −4.76071 | − | 0.579359i | −0.375196 | − | 0.0456599i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 8.64283 | − | 5.55441i | 0.676959 | − | 0.435055i | −0.156469 | − | 0.987683i | \(-0.550011\pi\) |
0.833428 | + | 0.552628i | \(0.186375\pi\) | |||||||
\(164\) | −0.356336 | + | 2.47837i | −0.0278251 | + | 0.193528i | ||||
\(165\) | −0.577681 | + | 1.26494i | −0.0449724 | + | 0.0984758i | ||||
\(166\) | 5.71412 | − | 1.67782i | 0.443502 | − | 0.130224i | ||||
\(167\) | −2.72869 | − | 5.97500i | −0.211152 | − | 0.462359i | 0.774189 | − | 0.632955i | \(-0.218158\pi\) |
−0.985341 | + | 0.170596i | \(0.945431\pi\) | |||||||
\(168\) | −0.654861 | − | 0.755750i | −0.0505236 | − | 0.0583073i | ||||
\(169\) | −1.31051 | − | 9.11477i | −0.100808 | − | 0.701136i | ||||
\(170\) | −15.6686 | − | 4.60073i | −1.20173 | − | 0.352860i | ||||
\(171\) | 1.47959 | − | 1.70754i | 0.113147 | − | 0.130579i | ||||
\(172\) | 3.63122 | + | 2.33364i | 0.276878 | + | 0.177939i | ||||
\(173\) | 4.51677 | + | 2.90275i | 0.343403 | + | 0.220692i | 0.700962 | − | 0.713199i | \(-0.252754\pi\) |
−0.357558 | + | 0.933891i | \(0.616391\pi\) | |||||||
\(174\) | 4.21377 | − | 4.86294i | 0.319445 | − | 0.368659i | ||||
\(175\) | 8.32462 | + | 2.44433i | 0.629282 | + | 0.184774i | ||||
\(176\) | −0.0535150 | − | 0.372205i | −0.00403384 | − | 0.0280560i | ||||
\(177\) | 9.56272 | + | 11.0360i | 0.718778 | + | 0.829514i | ||||
\(178\) | 2.16126 | + | 4.73250i | 0.161993 | + | 0.354716i | ||||
\(179\) | 24.7354 | − | 7.26298i | 1.84881 | − | 0.542861i | 0.848917 | − | 0.528526i | \(-0.177255\pi\) |
0.999897 | − | 0.0143346i | \(-0.00456301\pi\) | |||||||
\(180\) | 1.53625 | − | 3.36392i | 0.114506 | − | 0.250732i | ||||
\(181\) | −3.13725 | + | 21.8201i | −0.233190 | + | 1.62187i | 0.450969 | + | 0.892540i | \(0.351079\pi\) |
−0.684159 | + | 0.729333i | \(0.739830\pi\) | |||||||
\(182\) | −3.96448 | + | 2.54782i | −0.293867 | + | 0.188857i | ||||
\(183\) | 9.02562 | 0.667193 | ||||||||
\(184\) | 3.69174 | + | 3.06122i | 0.272158 | + | 0.225676i | ||||
\(185\) | −31.1934 | −2.29339 | ||||||||
\(186\) | −6.09749 | + | 3.91862i | −0.447090 | + | 0.287327i | ||||
\(187\) | −0.236311 | + | 1.64358i | −0.0172808 | + | 0.120191i | ||||
\(188\) | −2.78526 | + | 6.09888i | −0.203136 | + | 0.444806i | ||||
\(189\) | −0.959493 | + | 0.281733i | −0.0697928 | + | 0.0204930i | ||||
\(190\) | −3.47101 | − | 7.60046i | −0.251814 | − | 0.551395i | ||||
\(191\) | 15.1456 | + | 17.4790i | 1.09590 | + | 1.26473i | 0.961796 | + | 0.273767i | \(0.0882698\pi\) |
0.134103 | + | 0.990967i | \(0.457185\pi\) | |||||||
\(192\) | 0.142315 | + | 0.989821i | 0.0102707 | + | 0.0714342i | ||||
\(193\) | −2.59189 | − | 0.761049i | −0.186569 | − | 0.0547815i | 0.187114 | − | 0.982338i | \(-0.440087\pi\) |
−0.373682 | + | 0.927557i | \(0.621905\pi\) | |||||||
\(194\) | 2.36449 | − | 2.72877i | 0.169760 | − | 0.195914i | ||||
\(195\) | −14.6611 | − | 9.42213i | −1.04990 | − | 0.674733i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | −15.8866 | + | 18.3341i | −1.13187 | + | 1.30625i | −0.185691 | + | 0.982608i | \(0.559452\pi\) |
−0.946180 | + | 0.323641i | \(0.895093\pi\) | |||||||
\(198\) | −0.360800 | − | 0.105941i | −0.0256410 | − | 0.00752887i | ||||
\(199\) | −0.706802 | − | 4.91591i | −0.0501039 | − | 0.348480i | −0.999417 | − | 0.0341475i | \(-0.989128\pi\) |
0.949313 | − | 0.314332i | \(-0.101781\pi\) | |||||||
\(200\) | −5.68161 | − | 6.55693i | −0.401751 | − | 0.463645i | ||||
\(201\) | −2.40916 | − | 5.27532i | −0.169929 | − | 0.372092i | ||||
\(202\) | 3.23140 | − | 0.948824i | 0.227360 | − | 0.0667590i | ||||
\(203\) | −2.67303 | + | 5.85312i | −0.187610 | + | 0.410808i | ||||
\(204\) | 0.628433 | − | 4.37085i | 0.0439991 | − | 0.306021i | ||||
\(205\) | 7.78962 | − | 5.00609i | 0.544051 | − | 0.349640i | ||||
\(206\) | −11.1689 | −0.778177 | ||||||||
\(207\) | 4.31819 | − | 2.08644i | 0.300135 | − | 0.145018i | ||||
\(208\) | 4.71259 | 0.326759 | ||||||||
\(209\) | −0.714736 | + | 0.459333i | −0.0494393 | + | 0.0317727i | ||||
\(210\) | −0.526297 | + | 3.66047i | −0.0363179 | + | 0.252597i | ||||
\(211\) | −8.38374 | + | 18.3578i | −0.577161 | + | 1.26381i | 0.365736 | + | 0.930719i | \(0.380817\pi\) |
−0.942896 | + | 0.333087i | \(0.891910\pi\) | |||||||
\(212\) | −10.1771 | + | 2.98827i | −0.698968 | + | 0.205235i | ||||
\(213\) | 6.68925 | + | 14.6474i | 0.458340 | + | 1.00362i | ||||
\(214\) | −9.57955 | − | 11.0554i | −0.654845 | − | 0.755731i | ||||
\(215\) | −2.27173 | − | 15.8002i | −0.154931 | − | 1.07757i | ||||
\(216\) | 0.959493 | + | 0.281733i | 0.0652852 | + | 0.0191695i | ||||
\(217\) | 4.74650 | − | 5.47775i | 0.322213 | − | 0.371854i | ||||
\(218\) | 9.34653 | + | 6.00665i | 0.633027 | + | 0.406822i | ||||
\(219\) | −3.41576 | − | 2.19518i | −0.230816 | − | 0.148336i | ||||
\(220\) | −0.910657 | + | 1.05095i | −0.0613965 | + | 0.0708553i | ||||
\(221\) | −19.9669 | − | 5.86281i | −1.34312 | − | 0.394375i | ||||
\(222\) | −1.20042 | − | 8.34909i | −0.0805668 | − | 0.560354i | ||||
\(223\) | −2.10040 | − | 2.42400i | −0.140653 | − | 0.162323i | 0.681052 | − | 0.732235i | \(-0.261523\pi\) |
−0.821706 | + | 0.569912i | \(0.806977\pi\) | |||||||
\(224\) | −0.415415 | − | 0.909632i | −0.0277561 | − | 0.0607773i | ||||
\(225\) | −8.32462 | + | 2.44433i | −0.554975 | + | 0.162955i | ||||
\(226\) | 2.96672 | − | 6.49622i | 0.197343 | − | 0.432122i | ||||
\(227\) | −0.201375 | + | 1.40059i | −0.0133657 | + | 0.0929606i | −0.995412 | − | 0.0956775i | \(-0.969498\pi\) |
0.982047 | + | 0.188638i | \(0.0604073\pi\) | |||||||
\(228\) | 1.90073 | − | 1.22152i | 0.125879 | − | 0.0808974i | ||||
\(229\) | 27.4559 | 1.81434 | 0.907170 | − | 0.420765i | \(-0.138238\pi\) | ||||
0.907170 | + | 0.420765i | \(0.138238\pi\) | |||||||
\(230\) | −0.384815 | − | 17.7314i | −0.0253739 | − | 1.16917i | ||||
\(231\) | 0.376032 | 0.0247411 | ||||||||
\(232\) | 5.41313 | − | 3.47881i | 0.355389 | − | 0.228395i | ||||
\(233\) | 0.188601 | − | 1.31175i | 0.0123557 | − | 0.0859357i | −0.982711 | − | 0.185149i | \(-0.940723\pi\) |
0.995066 | + | 0.0992128i | \(0.0316325\pi\) | |||||||
\(234\) | 1.95768 | − | 4.28672i | 0.127978 | − | 0.280232i | ||||
\(235\) | 23.7907 | − | 6.98557i | 1.55193 | − | 0.455688i | ||||
\(236\) | 6.06617 | + | 13.2831i | 0.394874 | + | 0.864654i | ||||
\(237\) | −4.94366 | − | 5.70529i | −0.321125 | − | 0.370598i | ||||
\(238\) | 0.628433 | + | 4.37085i | 0.0407353 | + | 0.283320i | ||||
\(239\) | 3.48252 | + | 1.02256i | 0.225266 | + | 0.0661439i | 0.392417 | − | 0.919787i | \(-0.371639\pi\) |
−0.167152 | + | 0.985931i | \(0.553457\pi\) | |||||||
\(240\) | 2.42175 | − | 2.79485i | 0.156323 | − | 0.180407i | ||||
\(241\) | −18.0341 | − | 11.5898i | −1.16168 | − | 0.746567i | −0.189750 | − | 0.981832i | \(-0.560768\pi\) |
−0.971931 | + | 0.235265i | \(0.924404\pi\) | |||||||
\(242\) | −9.13484 | − | 5.87060i | −0.587209 | − | 0.377377i | ||||
\(243\) | 0.654861 | − | 0.755750i | 0.0420093 | − | 0.0484814i | ||||
\(244\) | 8.66002 | + | 2.54281i | 0.554401 | + | 0.162787i | ||||
\(245\) | −0.526297 | − | 3.66047i | −0.0336239 | − | 0.233859i | ||||
\(246\) | 1.63968 | + | 1.89229i | 0.104542 | + | 0.120648i | ||||
\(247\) | −4.42319 | − | 9.68543i | −0.281441 | − | 0.616269i | ||||
\(248\) | −6.95451 | + | 2.04203i | −0.441612 | + | 0.129669i | ||||
\(249\) | 2.47394 | − | 5.41718i | 0.156780 | − | 0.343300i | ||||
\(250\) | −1.93470 | + | 13.4561i | −0.122361 | + | 0.851040i | ||||
\(251\) | 15.8429 | − | 10.1816i | 0.999993 | − | 0.642656i | 0.0652083 | − | 0.997872i | \(-0.479229\pi\) |
0.934784 | + | 0.355215i | \(0.115592\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | −1.77904 | + | 0.295319i | −0.111847 | + | 0.0185665i | ||||
\(254\) | −13.5019 | −0.847184 | ||||||||
\(255\) | −13.7378 | + | 8.82873i | −0.860293 | + | 0.552877i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 8.01355 | − | 17.5472i | 0.499872 | − | 1.09457i | −0.476639 | − | 0.879099i | \(-0.658145\pi\) |
0.976511 | − | 0.215467i | \(-0.0691275\pi\) | |||||||
\(258\) | 4.14160 | − | 1.21608i | 0.257845 | − | 0.0757100i | ||||
\(259\) | 3.50400 | + | 7.67270i | 0.217728 | + | 0.476758i | ||||
\(260\) | −11.4127 | − | 13.1710i | −0.707787 | − | 0.816829i | ||||
\(261\) | −0.915739 | − | 6.36910i | −0.0566828 | − | 0.394238i | ||||
\(262\) | −9.16639 | − | 2.69149i | −0.566301 | − | 0.166281i | ||||
\(263\) | −10.4162 | + | 12.0209i | −0.642290 | + | 0.741243i | −0.979778 | − | 0.200087i | \(-0.935877\pi\) |
0.337488 | + | 0.941330i | \(0.390423\pi\) | |||||||
\(264\) | −0.316339 | − | 0.203298i | −0.0194693 | − | 0.0125122i | ||||
\(265\) | 32.9982 | + | 21.2067i | 2.02706 | + | 1.30272i | ||||
\(266\) | −1.47959 | + | 1.70754i | −0.0907197 | + | 0.104696i | ||||
\(267\) | 4.99191 | + | 1.46576i | 0.305500 | + | 0.0897028i | ||||
\(268\) | −0.825340 | − | 5.74037i | −0.0504157 | − | 0.350649i | ||||
\(269\) | −4.44715 | − | 5.13228i | −0.271147 | − | 0.312921i | 0.603803 | − | 0.797134i | \(-0.293651\pi\) |
−0.874950 | + | 0.484213i | \(0.839106\pi\) | |||||||
\(270\) | −1.53625 | − | 3.36392i | −0.0934934 | − | 0.204722i | ||||
\(271\) | 10.8438 | − | 3.18403i | 0.658715 | − | 0.193416i | 0.0647431 | − | 0.997902i | \(-0.479377\pi\) |
0.593972 | + | 0.804486i | \(0.297559\pi\) | |||||||
\(272\) | 1.83439 | − | 4.01675i | 0.111226 | − | 0.243551i | ||||
\(273\) | −0.670671 | + | 4.66462i | −0.0405909 | + | 0.282316i | ||||
\(274\) | −6.63209 | + | 4.26219i | −0.400659 | + | 0.257488i | ||||
\(275\) | 3.26248 | 0.196735 | ||||||||
\(276\) | 4.73109 | − | 0.785355i | 0.284778 | − | 0.0472728i | ||||
\(277\) | −6.68398 | −0.401601 | −0.200801 | − | 0.979632i | \(-0.564354\pi\) | ||||
−0.200801 | + | 0.979632i | \(0.564354\pi\) | |||||||
\(278\) | 6.66971 | − | 4.28636i | 0.400023 | − | 0.257079i | ||||
\(279\) | −1.03151 | + | 7.17433i | −0.0617551 | + | 0.429516i | ||||
\(280\) | −1.53625 | + | 3.36392i | −0.0918087 | + | 0.201033i | ||||
\(281\) | 25.5357 | − | 7.49795i | 1.52333 | − | 0.447290i | 0.590329 | − | 0.807162i | \(-0.298998\pi\) |
0.933002 | + | 0.359872i | \(0.117180\pi\) | |||||||
\(282\) | 2.78526 | + | 6.09888i | 0.165860 | + | 0.363183i | ||||
\(283\) | −1.49769 | − | 1.72843i | −0.0890286 | − | 0.102745i | 0.709487 | − | 0.704718i | \(-0.248927\pi\) |
−0.798516 | + | 0.601974i | \(0.794381\pi\) | |||||||
\(284\) | 2.29164 | + | 15.9387i | 0.135984 | + | 0.945786i | ||||
\(285\) | −8.01707 | − | 2.35402i | −0.474890 | − | 0.139440i | ||||
\(286\) | −1.16047 | + | 1.33925i | −0.0686200 | + | 0.0791917i | ||||
\(287\) | −2.10638 | − | 1.35369i | −0.124335 | − | 0.0799056i | ||||
\(288\) | 0.841254 | + | 0.540641i | 0.0495713 | + | 0.0318576i | ||||
\(289\) | −1.63667 | + | 1.88881i | −0.0962745 | + | 0.111107i | ||||
\(290\) | −22.8320 | − | 6.70408i | −1.34074 | − | 0.393677i | ||||
\(291\) | −0.513853 | − | 3.57392i | −0.0301226 | − | 0.209507i | ||||
\(292\) | −2.65895 | − | 3.06859i | −0.155603 | − | 0.179576i | ||||
\(293\) | −1.00397 | − | 2.19839i | −0.0586527 | − | 0.128431i | 0.878036 | − | 0.478594i | \(-0.158854\pi\) |
−0.936689 | + | 0.350163i | \(0.886126\pi\) | |||||||
\(294\) | 0.959493 | − | 0.281733i | 0.0559588 | − | 0.0164310i | ||||
\(295\) | 22.4334 | − | 49.1223i | 1.30612 | − | 2.86001i | ||||
\(296\) | 1.20042 | − | 8.34909i | 0.0697729 | − | 0.485281i | ||||
\(297\) | −0.316339 | + | 0.203298i | −0.0183558 | + | 0.0117966i | ||||
\(298\) | −11.0237 | −0.638588 | ||||||||
\(299\) | −0.490378 | − | 22.5955i | −0.0283593 | − | 1.30673i | ||||
\(300\) | −8.67606 | −0.500913 | ||||||||
\(301\) | −3.63122 | + | 2.33364i | −0.209300 | + | 0.134509i | ||||
\(302\) | −0.0349335 | + | 0.242968i | −0.00201020 | + | 0.0139812i | ||||
\(303\) | 1.39904 | − | 3.06348i | 0.0803729 | − | 0.175992i | ||||
\(304\) | 2.16788 | − | 0.636547i | 0.124336 | − | 0.0365085i | ||||
\(305\) | −13.8656 | − | 30.3615i | −0.793944 | − | 1.73850i | ||||
\(306\) | −2.89173 | − | 3.33724i | −0.165309 | − | 0.190777i | ||||
\(307\) | −0.554936 | − | 3.85967i | −0.0316719 | − | 0.220283i | 0.967838 | − | 0.251572i | \(-0.0809477\pi\) |
−0.999510 | + | 0.0312896i | \(0.990039\pi\) | |||||||
\(308\) | 0.360800 | + | 0.105941i | 0.0205585 | + | 0.00603652i | ||||
\(309\) | −7.31410 | + | 8.44092i | −0.416084 | + | 0.480187i | ||||
\(310\) | 22.5492 | + | 14.4915i | 1.28071 | + | 0.823063i | ||||
\(311\) | 6.88675 | + | 4.42585i | 0.390512 | + | 0.250967i | 0.721133 | − | 0.692797i | \(-0.243622\pi\) |
−0.330621 | + | 0.943764i | \(0.607258\pi\) | |||||||
\(312\) | 3.08609 | − | 3.56154i | 0.174715 | − | 0.201632i | ||||
\(313\) | 7.67276 | + | 2.25292i | 0.433690 | + | 0.127343i | 0.491288 | − | 0.870997i | \(-0.336526\pi\) |
−0.0575985 | + | 0.998340i | \(0.518344\pi\) | |||||||
\(314\) | 3.22486 | + | 22.4294i | 0.181989 | + | 1.26576i | ||||
\(315\) | 2.42175 | + | 2.79485i | 0.136450 | + | 0.157472i | ||||
\(316\) | −3.13604 | − | 6.86698i | −0.176416 | − | 0.386298i | ||||
\(317\) | 10.3632 | − | 3.04290i | 0.582053 | − | 0.170906i | 0.0225658 | − | 0.999745i | \(-0.492816\pi\) |
0.559487 | + | 0.828839i | \(0.310998\pi\) | |||||||
\(318\) | −4.40621 | + | 9.64826i | −0.247088 | + | 0.541047i | ||||
\(319\) | −0.344347 | + | 2.39499i | −0.0192798 | + | 0.134094i | ||||
\(320\) | 3.11105 | − | 1.99935i | 0.173913 | − | 0.111767i | ||||
\(321\) | −14.6284 | −0.816476 | ||||||||
\(322\) | −4.31819 | + | 2.08644i | −0.240643 | + | 0.116273i | ||||
\(323\) | −9.97706 | −0.555138 | ||||||||
\(324\) | 0.841254 | − | 0.540641i | 0.0467363 | − | 0.0300356i | ||||
\(325\) | −5.81879 | + | 40.4705i | −0.322768 | + | 2.24490i | ||||
\(326\) | 4.26787 | − | 9.34534i | 0.236376 | − | 0.517590i | ||||
\(327\) | 10.6602 | − | 3.13012i | 0.589510 | − | 0.173096i | ||||
\(328\) | 1.04014 | + | 2.27759i | 0.0574321 | + | 0.125759i | ||||
\(329\) | −4.39069 | − | 5.06713i | −0.242067 | − | 0.279360i | ||||
\(330\) | 0.197905 | + | 1.37646i | 0.0108943 | + | 0.0757715i | ||||
\(331\) | −1.87037 | − | 0.549190i | −0.102805 | − | 0.0301862i | 0.229926 | − | 0.973208i | \(-0.426152\pi\) |
−0.332730 | + | 0.943022i | \(0.607970\pi\) | |||||||
\(332\) | 3.89993 | − | 4.50075i | 0.214036 | − | 0.247011i | ||||
\(333\) | −7.09593 | − | 4.56028i | −0.388855 | − | 0.249902i | ||||
\(334\) | −5.52585 | − | 3.55125i | −0.302361 | − | 0.194316i | ||||
\(335\) | −14.0447 | + | 16.2084i | −0.767344 | + | 0.885562i | ||||
\(336\) | −0.959493 | − | 0.281733i | −0.0523446 | − | 0.0153698i | ||||
\(337\) | 4.92676 | + | 34.2664i | 0.268378 | + | 1.86661i | 0.463869 | + | 0.885904i | \(0.346461\pi\) |
−0.195491 | + | 0.980706i | \(0.562630\pi\) | |||||||
\(338\) | −6.03028 | − | 6.95932i | −0.328004 | − | 0.378537i | ||||
\(339\) | −2.96672 | − | 6.49622i | −0.161130 | − | 0.352826i | ||||
\(340\) | −15.6686 | + | 4.60073i | −0.849751 | + | 0.249510i | ||||
\(341\) | 1.13222 | − | 2.47922i | 0.0613133 | − | 0.134257i | ||||
\(342\) | 0.321546 | − | 2.23640i | 0.0173872 | − | 0.120931i | ||||
\(343\) | −0.841254 | + | 0.540641i | −0.0454234 | + | 0.0291919i | ||||
\(344\) | 4.31644 | 0.232727 | ||||||||
\(345\) | −13.6525 | − | 11.3208i | −0.735024 | − | 0.609489i | ||||
\(346\) | 5.36909 | 0.288644 | ||||||||
\(347\) | −9.26258 | + | 5.95270i | −0.497242 | + | 0.319558i | −0.765112 | − | 0.643897i | \(-0.777316\pi\) |
0.267870 | + | 0.963455i | \(0.413680\pi\) | |||||||
\(348\) | 0.915739 | − | 6.36910i | 0.0490887 | − | 0.341420i | ||||
\(349\) | 0.588466 | − | 1.28856i | 0.0314999 | − | 0.0689751i | −0.893228 | − | 0.449604i | \(-0.851565\pi\) |
0.924728 | + | 0.380629i | \(0.124292\pi\) | |||||||
\(350\) | 8.32462 | − | 2.44433i | 0.444970 | − | 0.130655i | ||||
\(351\) | −1.95768 | − | 4.28672i | −0.104493 | − | 0.228808i | ||||
\(352\) | −0.246249 | − | 0.284186i | −0.0131251 | − | 0.0151472i | ||||
\(353\) | 0.884216 | + | 6.14986i | 0.0470621 | + | 0.327324i | 0.999728 | + | 0.0233059i | \(0.00741918\pi\) |
−0.952666 | + | 0.304018i | \(0.901672\pi\) | |||||||
\(354\) | 14.0112 | + | 4.11405i | 0.744685 | + | 0.218659i | ||||
\(355\) | 38.9964 | − | 45.0043i | 2.06972 | − | 2.38858i | ||||
\(356\) | 4.37675 | + | 2.81276i | 0.231967 | + | 0.149076i | ||||
\(357\) | 3.71480 | + | 2.38736i | 0.196608 | + | 0.126352i | ||||
\(358\) | 16.8821 | − | 19.4830i | 0.892248 | − | 1.02971i | ||||
\(359\) | 13.8179 | + | 4.05731i | 0.729283 | + | 0.214137i | 0.625236 | − | 0.780436i | \(-0.285003\pi\) |
0.104047 | + | 0.994572i | \(0.466821\pi\) | |||||||
\(360\) | −0.526297 | − | 3.66047i | −0.0277383 | − | 0.192924i | ||||
\(361\) | 9.09936 | + | 10.5012i | 0.478914 | + | 0.552696i | ||||
\(362\) | 9.15760 | + | 20.0523i | 0.481313 | + | 1.05393i | ||||
\(363\) | −10.4188 | + | 3.05922i | −0.546843 | + | 0.160567i | ||||
\(364\) | −1.95768 | + | 4.28672i | −0.102610 | + | 0.224685i | ||||
\(365\) | −2.13694 | + | 14.8627i | −0.111852 | + | 0.777950i | ||||
\(366\) | 7.59284 | − | 4.87962i | 0.396884 | − | 0.255062i | ||||
\(367\) | 28.1412 | 1.46896 | 0.734480 | − | 0.678630i | \(-0.237426\pi\) | ||||
0.734480 | + | 0.678630i | \(0.237426\pi\) | |||||||
\(368\) | 4.76071 | + | 0.579359i | 0.248169 | + | 0.0302012i | ||||
\(369\) | 2.50385 | 0.130345 | ||||||||
\(370\) | −26.2416 | + | 16.8644i | −1.36423 | + | 0.876740i | ||||
\(371\) | 1.50950 | − | 10.4988i | 0.0783694 | − | 0.545071i | ||||
\(372\) | −3.01097 | + | 6.59311i | −0.156112 | + | 0.341837i | ||||
\(373\) | 0.0692942 | − | 0.0203466i | 0.00358792 | − | 0.00105351i | −0.279938 | − | 0.960018i | \(-0.590314\pi\) |
0.283526 | + | 0.958965i | \(0.408496\pi\) | |||||||
\(374\) | 0.689789 | + | 1.51043i | 0.0356682 | + | 0.0781024i | ||||
\(375\) | 8.90250 | + | 10.2740i | 0.459723 | + | 0.530549i | ||||
\(376\) | 0.954189 | + | 6.63653i | 0.0492085 | + | 0.342253i | ||||
\(377\) | −29.0953 | − | 8.54315i | −1.49848 | − | 0.439995i | ||||
\(378\) | −0.654861 | + | 0.755750i | −0.0336824 | + | 0.0388716i | ||||
\(379\) | 0.283602 | + | 0.182260i | 0.0145677 | + | 0.00936207i | 0.547904 | − | 0.836541i | \(-0.315426\pi\) |
−0.533337 | + | 0.845903i | \(0.679062\pi\) | |||||||
\(380\) | −7.02912 | − | 4.51734i | −0.360586 | − | 0.231735i | ||||
\(381\) | −8.84186 | + | 10.2041i | −0.452982 | + | 0.522769i | ||||
\(382\) | 22.1912 | + | 6.51591i | 1.13540 | + | 0.333383i | ||||
\(383\) | 3.02510 | + | 21.0400i | 0.154575 | + | 1.07509i | 0.908425 | + | 0.418048i | \(0.137285\pi\) |
−0.753850 | + | 0.657047i | \(0.771805\pi\) | |||||||
\(384\) | 0.654861 | + | 0.755750i | 0.0334182 | + | 0.0385667i | ||||
\(385\) | −0.577681 | − | 1.26494i | −0.0294413 | − | 0.0644675i | ||||
\(386\) | −2.59189 | + | 0.761049i | −0.131924 | + | 0.0387364i | ||||
\(387\) | 1.79311 | − | 3.92637i | 0.0911492 | − | 0.199589i | ||||
\(388\) | 0.513853 | − | 3.57392i | 0.0260869 | − | 0.181438i | ||||
\(389\) | 18.1409 | − | 11.6584i | 0.919780 | − | 0.591106i | 0.00718595 | − | 0.999974i | \(-0.497713\pi\) |
0.912594 | + | 0.408868i | \(0.134076\pi\) | |||||||
\(390\) | −17.4277 | −0.882486 | ||||||||
\(391\) | −19.4500 | − | 8.37737i | −0.983629 | − | 0.423662i | ||||
\(392\) | 1.00000 | 0.0505076 | ||||||||
\(393\) | −8.03680 | + | 5.16494i | −0.405403 | + | 0.260537i | ||||
\(394\) | −3.45248 | + | 24.0125i | −0.173933 | + | 1.20973i | ||||
\(395\) | −11.5975 | + | 25.3949i | −0.583531 | + | 1.27775i | ||||
\(396\) | −0.360800 | + | 0.105941i | −0.0181309 | + | 0.00532371i | ||||
\(397\) | −3.45929 | − | 7.57479i | −0.173617 | − | 0.380168i | 0.802741 | − | 0.596328i | \(-0.203374\pi\) |
−0.976358 | + | 0.216160i | \(0.930647\pi\) | |||||||
\(398\) | −3.25234 | − | 3.75340i | −0.163025 | − | 0.188141i | ||||
\(399\) | 0.321546 | + | 2.23640i | 0.0160975 | + | 0.111960i | ||||
\(400\) | −8.32462 | − | 2.44433i | −0.416231 | − | 0.122216i | ||||
\(401\) | −15.4205 | + | 17.7962i | −0.770064 | + | 0.888701i | −0.996350 | − | 0.0853597i | \(-0.972796\pi\) |
0.226286 | + | 0.974061i | \(0.427342\pi\) | |||||||
\(402\) | −4.87876 | − | 3.13539i | −0.243331 | − | 0.156379i | ||||
\(403\) | 28.7350 | + | 18.4669i | 1.43139 | + | 0.919900i | ||||
\(404\) | 2.20545 | − | 2.54523i | 0.109725 | − | 0.126630i | ||||
\(405\) | −3.54832 | − | 1.04188i | −0.176317 | − | 0.0517714i | ||||
\(406\) | 0.915739 | + | 6.36910i | 0.0454473 | + | 0.316093i | ||||
\(407\) | 2.07710 | + | 2.39710i | 0.102958 | + | 0.118820i | ||||
\(408\) | −1.83439 | − | 4.01675i | −0.0908157 | − | 0.198859i | ||||
\(409\) | −11.6643 | + | 3.42495i | −0.576763 | + | 0.169353i | −0.557088 | − | 0.830453i | \(-0.688081\pi\) |
−0.0196753 | + | 0.999806i | \(0.506263\pi\) | |||||||
\(410\) | 3.84655 | − | 8.42278i | 0.189968 | − | 0.415971i | ||||
\(411\) | −1.12195 | + | 7.80334i | −0.0553418 | + | 0.384910i | ||||
\(412\) | −9.39591 | + | 6.03838i | −0.462903 | + | 0.297490i | ||||
\(413\) | −14.6027 | −0.718551 | ||||||||
\(414\) | 2.50467 | − | 4.08982i | 0.123098 | − | 0.201004i | ||||
\(415\) | −22.0236 | −1.08109 | ||||||||
\(416\) | 3.96448 | − | 2.54782i | 0.194375 | − | 0.124917i | ||||
\(417\) | 1.12832 | − | 7.84761i | 0.0552538 | − | 0.384299i | ||||
\(418\) | −0.352940 | + | 0.772831i | −0.0172629 | + | 0.0378004i | ||||
\(419\) | 15.8816 | − | 4.66327i | 0.775868 | − | 0.227815i | 0.130255 | − | 0.991480i | \(-0.458420\pi\) |
0.645613 | + | 0.763665i | \(0.276602\pi\) | |||||||
\(420\) | 1.53625 | + | 3.36392i | 0.0749615 | + | 0.164143i | ||||
\(421\) | 7.23502 | + | 8.34966i | 0.352614 | + | 0.406938i | 0.904151 | − | 0.427212i | \(-0.140504\pi\) |
−0.551538 | + | 0.834150i | \(0.685959\pi\) | |||||||
\(422\) | 2.87214 | + | 19.9762i | 0.139814 | + | 0.972425i | ||||
\(423\) | 6.43319 | + | 1.88895i | 0.312792 | + | 0.0918441i | ||||
\(424\) | −6.94596 | + | 8.01606i | −0.337326 | + | 0.389294i | ||||
\(425\) | 32.2299 | + | 20.7129i | 1.56338 | + | 1.00472i | ||||
\(426\) | 13.5463 | + | 8.70571i | 0.656323 | + | 0.421793i | ||||
\(427\) | −5.91053 | + | 6.82111i | −0.286030 | + | 0.330097i | ||||
\(428\) | −14.0358 | − | 4.12129i | −0.678447 | − | 0.199210i | ||||
\(429\) | 0.252194 | + | 1.75405i | 0.0121760 | + | 0.0846863i | ||||
\(430\) | −10.4533 | − | 12.0638i | −0.504105 | − | 0.581768i | ||||
\(431\) | −4.05462 | − | 8.87839i | −0.195304 | − | 0.427657i | 0.786490 | − | 0.617603i | \(-0.211896\pi\) |
−0.981795 | + | 0.189946i | \(0.939169\pi\) | |||||||
\(432\) | 0.959493 | − | 0.281733i | 0.0461636 | − | 0.0135549i | ||||
\(433\) | −7.30253 | + | 15.9903i | −0.350937 | + | 0.768445i | 0.649033 | + | 0.760760i | \(0.275174\pi\) |
−0.999970 | + | 0.00768529i | \(0.997554\pi\) | |||||||
\(434\) | 1.03151 | − | 7.17433i | 0.0495142 | − | 0.344379i | ||||
\(435\) | −20.0184 | + | 12.8650i | −0.959808 | + | 0.616831i | ||||
\(436\) | 11.1102 | 0.532084 | ||||||||
\(437\) | −3.27764 | − | 10.3281i | −0.156791 | − | 0.494060i | ||||
\(438\) | −4.06033 | −0.194010 | ||||||||
\(439\) | 10.9002 | − | 7.00512i | 0.520237 | − | 0.334336i | −0.254029 | − | 0.967197i | \(-0.581756\pi\) |
0.774266 | + | 0.632861i | \(0.218119\pi\) | |||||||
\(440\) | −0.197905 | + | 1.37646i | −0.00943473 | + | 0.0656200i | ||||
\(441\) | 0.415415 | − | 0.909632i | 0.0197817 | − | 0.0433158i | ||||
\(442\) | −19.9669 | + | 5.86281i | −0.949728 | + | 0.278865i | ||||
\(443\) | 16.9148 | + | 37.0384i | 0.803649 | + | 1.75975i | 0.632594 | + | 0.774484i | \(0.281990\pi\) |
0.171055 | + | 0.985262i | \(0.445282\pi\) | |||||||
\(444\) | −5.52372 | − | 6.37471i | −0.262144 | − | 0.302530i | ||||
\(445\) | −2.73814 | − | 19.0442i | −0.129800 | − | 0.902780i | ||||
\(446\) | −3.07748 | − | 0.903631i | −0.145723 | − | 0.0427882i | ||||
\(447\) | −7.21902 | + | 8.33119i | −0.341448 | + | 0.394052i | ||||
\(448\) | −0.841254 | − | 0.540641i | −0.0397455 | − | 0.0255429i | ||||
\(449\) | 24.4458 | + | 15.7104i | 1.15367 | + | 0.741419i | 0.970367 | − | 0.241637i | \(-0.0776843\pi\) |
0.183304 | + | 0.983056i | \(0.441321\pi\) | |||||||
\(450\) | −5.68161 | + | 6.55693i | −0.267834 | + | 0.309097i | ||||
\(451\) | −0.903392 | − | 0.265260i | −0.0425391 | − | 0.0124906i | ||||
\(452\) | −1.01635 | − | 7.06890i | −0.0478053 | − | 0.332493i | ||||
\(453\) | 0.160746 | + | 0.185511i | 0.00755252 | + | 0.00871607i | ||||
\(454\) | 0.587810 | + | 1.28712i | 0.0275873 | + | 0.0604078i | ||||
\(455\) | 16.7218 | − | 4.90995i | 0.783928 | − | 0.230182i | ||||
\(456\) | 0.938589 | − | 2.05522i | 0.0439535 | − | 0.0962447i | ||||
\(457\) | 3.39411 | − | 23.6065i | 0.158770 | − | 1.10427i | −0.742135 | − | 0.670250i | \(-0.766187\pi\) |
0.900905 | − | 0.434017i | \(-0.142904\pi\) | |||||||
\(458\) | 23.0974 | − | 14.8438i | 1.07927 | − | 0.693605i | ||||
\(459\) | −4.41580 | −0.206112 | ||||||||
\(460\) | −9.91003 | − | 14.7085i | −0.462057 | − | 0.685789i | ||||
\(461\) | 21.7176 | 1.01149 | 0.505746 | − | 0.862683i | \(-0.331217\pi\) | ||||
0.505746 | + | 0.862683i | \(0.331217\pi\) | |||||||
\(462\) | 0.316339 | − | 0.203298i | 0.0147174 | − | 0.00945830i | ||||
\(463\) | −0.355805 | + | 2.47468i | −0.0165357 | + | 0.115008i | −0.996417 | − | 0.0845705i | \(-0.973048\pi\) |
0.979882 | + | 0.199578i | \(0.0639573\pi\) | |||||||
\(464\) | 2.67303 | − | 5.85312i | 0.124092 | − | 0.271724i | ||||
\(465\) | 25.7186 | − | 7.55165i | 1.19267 | − | 0.350200i | ||||
\(466\) | −0.550525 | − | 1.20548i | −0.0255026 | − | 0.0558429i | ||||
\(467\) | 27.8379 | + | 32.1266i | 1.28818 | + | 1.48664i | 0.780588 | + | 0.625046i | \(0.214920\pi\) |
0.507595 | + | 0.861596i | \(0.330535\pi\) | |||||||
\(468\) | −0.670671 | − | 4.66462i | −0.0310018 | − | 0.215622i | ||||
\(469\) | 5.56448 | + | 1.63388i | 0.256944 | + | 0.0754455i | ||||
\(470\) | 16.2373 | − | 18.7388i | 0.748971 | − | 0.864358i | ||||
\(471\) | 19.0628 | + | 12.2509i | 0.878369 | + | 0.564493i | ||||
\(472\) | 12.2846 | + | 7.89481i | 0.565443 | + | 0.363388i | ||||
\(473\) | −1.06292 | + | 1.22667i | −0.0488731 | + | 0.0564025i | ||||
\(474\) | −7.24339 | − | 2.12685i | −0.332700 | − | 0.0976895i | ||||
\(475\) | 2.78976 | + | 19.4032i | 0.128003 | + | 0.890279i | ||||
\(476\) | 2.89173 | + | 3.33724i | 0.132542 | + | 0.152962i | ||||
\(477\) | 4.40621 | + | 9.64826i | 0.201747 | + | 0.441763i | ||||
\(478\) | 3.48252 | − | 1.02256i | 0.159287 | − | 0.0467708i | ||||
\(479\) | 5.80254 | − | 12.7058i | 0.265125 | − | 0.580543i | −0.729512 | − | 0.683968i | \(-0.760253\pi\) |
0.994637 | + | 0.103425i | \(0.0329802\pi\) | |||||||
\(480\) | 0.526297 | − | 3.66047i | 0.0240221 | − | 0.167077i | ||||
\(481\) | −33.4402 | + | 21.4907i | −1.52474 | + | 0.979892i | ||||
\(482\) | −21.4372 | −0.976439 | ||||||||
\(483\) | −1.25098 | + | 4.62980i | −0.0569216 | + | 0.210663i | ||||
\(484\) | −10.8586 | −0.493573 | ||||||||
\(485\) | −11.2330 | + | 7.21901i | −0.510064 | + | 0.327798i | ||||
\(486\) | 0.142315 | − | 0.989821i | 0.00645553 | − | 0.0448992i | ||||
\(487\) | −4.02804 | + | 8.82019i | −0.182528 | + | 0.399681i | −0.978673 | − | 0.205426i | \(-0.934142\pi\) |
0.796145 | + | 0.605106i | \(0.206869\pi\) | |||||||
\(488\) | 8.66002 | − | 2.54281i | 0.392021 | − | 0.115108i | ||||
\(489\) | −4.26787 | − | 9.34534i | −0.193000 | − | 0.422611i | ||||
\(490\) | −2.42175 | − | 2.79485i | −0.109404 | − | 0.126258i | ||||
\(491\) | −3.97349 | − | 27.6362i | −0.179321 | − | 1.24721i | −0.858339 | − | 0.513084i | \(-0.828503\pi\) |
0.679018 | − | 0.734122i | \(-0.262406\pi\) | |||||||
\(492\) | 2.40243 | + | 0.705417i | 0.108310 | + | 0.0318027i | ||||
\(493\) | −18.6071 | + | 21.4738i | −0.838023 | + | 0.967130i | ||||
\(494\) | −8.95736 | − | 5.75654i | −0.403011 | − | 0.258999i | ||||
\(495\) | 1.16986 | + | 0.751821i | 0.0525811 | + | 0.0337919i | ||||
\(496\) | −4.74650 | + | 5.47775i | −0.213124 | + | 0.245958i | ||||
\(497\) | −15.4503 | − | 4.53662i | −0.693041 | − | 0.203495i | ||||
\(498\) | −0.847535 | − | 5.89473i | −0.0379789 | − | 0.264149i | ||||
\(499\) | 7.37718 | + | 8.51372i | 0.330248 | + | 0.381127i | 0.896454 | − | 0.443137i | \(-0.146135\pi\) |
−0.566206 | + | 0.824264i | \(0.691589\pi\) | |||||||
\(500\) | 5.64736 | + | 12.3660i | 0.252558 | + | 0.553024i | ||||
\(501\) | −6.30251 | + | 1.85058i | −0.281575 | + | 0.0826780i | ||||
\(502\) | 7.82328 | − | 17.1306i | 0.349170 | − | 0.764576i | ||||
\(503\) | 3.00256 | − | 20.8833i | 0.133878 | − | 0.931140i | −0.806555 | − | 0.591159i | \(-0.798670\pi\) |
0.940433 | − | 0.339980i | \(-0.110420\pi\) | |||||||
\(504\) | −0.841254 | + | 0.540641i | −0.0374724 | + | 0.0240821i | ||||
\(505\) | −12.4546 | −0.554222 | ||||||||
\(506\) | −1.33696 | + | 1.21026i | −0.0594353 | + | 0.0538027i | ||||
\(507\) | −9.20850 | −0.408964 | ||||||||
\(508\) | −11.3585 | + | 7.29967i | −0.503953 | + | 0.323871i | ||||
\(509\) | −2.38898 | + | 16.6157i | −0.105890 | + | 0.736479i | 0.865829 | + | 0.500339i | \(0.166791\pi\) |
−0.971719 | + | 0.236140i | \(0.924118\pi\) | |||||||
\(510\) | −6.78378 | + | 14.8544i | −0.300391 | + | 0.657764i | ||||
\(511\) | 3.89585 | − | 1.14393i | 0.172342 | − | 0.0506043i | ||||
\(512\) | 0.415415 | + | 0.909632i | 0.0183589 | + | 0.0402004i | ||||
\(513\) | −1.47959 | − | 1.70754i | −0.0653256 | − | 0.0753898i | ||||
\(514\) | −2.74532 | − | 19.0941i | −0.121091 | − | 0.842206i | ||||
\(515\) | 39.6309 | + | 11.6367i | 1.74635 | + | 0.512774i | ||||
\(516\) | 2.82667 | − | 3.26215i | 0.124437 | − | 0.143608i | ||||
\(517\) | −2.12098 | − | 1.36307i | −0.0932806 | − | 0.0599478i | ||||
\(518\) | 7.09593 | + | 4.56028i | 0.311777 | + | 0.200367i | ||||
\(519\) | 3.51601 | − | 4.05769i | 0.154336 | − | 0.178113i | ||||
\(520\) | −16.7218 | − | 4.90995i | −0.733298 | − | 0.215316i | ||||
\(521\) | −3.73301 | − | 25.9636i | −0.163546 | − | 1.13749i | −0.891882 | − | 0.452268i | \(-0.850615\pi\) |
0.728336 | − | 0.685220i | \(-0.240294\pi\) | |||||||
\(522\) | −4.21377 | − | 4.86294i | −0.184431 | − | 0.212845i | ||||
\(523\) | −10.2788 | − | 22.5073i | −0.449459 | − | 0.984177i | −0.989765 | − | 0.142709i | \(-0.954419\pi\) |
0.540306 | − | 0.841469i | \(-0.318308\pi\) | |||||||
\(524\) | −9.16639 | + | 2.69149i | −0.400436 | + | 0.117578i | ||||
\(525\) | 3.60417 | − | 7.89202i | 0.157299 | − | 0.344436i | ||||
\(526\) | −2.26366 | + | 15.7441i | −0.0987001 | + | 0.686474i | ||||
\(527\) | 26.9253 | − | 17.3038i | 1.17288 | − | 0.753767i | ||||
\(528\) | −0.376032 | −0.0163647 | ||||||||
\(529\) | 2.28247 | − | 22.8865i | 0.0992379 | − | 0.995064i | ||||
\(530\) | 39.2251 | 1.70383 | ||||||||
\(531\) | 12.2846 | − | 7.89481i | 0.533104 | − | 0.342605i | ||||
\(532\) | −0.321546 | + | 2.23640i | −0.0139408 | + | 0.0969604i | ||||
\(533\) | 4.90175 | − | 10.7333i | 0.212318 | − | 0.464912i | ||||
\(534\) | 4.99191 | − | 1.46576i | 0.216021 | − | 0.0634295i | ||||
\(535\) | 22.4729 | + | 49.2088i | 0.971588 | + | 2.12748i | ||||
\(536\) | −3.79780 | − | 4.38289i | −0.164040 | − | 0.189312i | ||||
\(537\) | −3.66883 | − | 25.5173i | −0.158322 | − | 1.10115i | ||||
\(538\) | −6.51590 | − | 1.91324i | −0.280920 | − | 0.0824856i | ||||
\(539\) | −0.246249 | + | 0.284186i | −0.0106067 | + | 0.0122408i | ||||
\(540\) | −3.11105 | − | 1.99935i | −0.133878 | − | 0.0860384i | ||||
\(541\) | −1.46514 | − | 0.941586i | −0.0629911 | − | 0.0404820i | 0.508766 | − | 0.860905i | \(-0.330102\pi\) |
−0.571757 | + | 0.820423i | \(0.693738\pi\) | |||||||
\(542\) | 7.40098 | − | 8.54119i | 0.317899 | − | 0.366875i | ||||
\(543\) | 21.1515 | + | 6.21064i | 0.907698 | + | 0.266524i | ||||
\(544\) | −0.628433 | − | 4.37085i | −0.0269439 | − | 0.187399i | ||||
\(545\) | −26.9062 | − | 31.0515i | −1.15254 | − | 1.33010i | ||||
\(546\) | 1.95768 | + | 4.28672i | 0.0837810 | + | 0.183455i | ||||
\(547\) | −20.9109 | + | 6.13999i | −0.894085 | + | 0.262527i | −0.696328 | − | 0.717724i | \(-0.745184\pi\) |
−0.197757 | + | 0.980251i | \(0.563366\pi\) | |||||||
\(548\) | −3.27496 | + | 7.17116i | −0.139899 | + | 0.306337i | ||||
\(549\) | 1.28448 | − | 8.93376i | 0.0548203 | − | 0.381283i | ||||
\(550\) | 2.74457 | − | 1.76383i | 0.117029 | − | 0.0752100i | ||||
\(551\) | −14.5383 | −0.619354 | ||||||||
\(552\) | 3.55545 | − | 3.21850i | 0.151330 | − | 0.136989i | ||||
\(553\) | 7.54918 | 0.321024 | ||||||||
\(554\) | −5.62292 | + | 3.61363i | −0.238895 | + | 0.153529i | ||||
\(555\) | −4.43929 | + | 30.8759i | −0.188437 | + | 1.31061i | ||||
\(556\) | 3.29354 | − | 7.21184i | 0.139677 | − | 0.305850i | ||||
\(557\) | −39.3121 | + | 11.5431i | −1.66571 | + | 0.489096i | −0.972745 | − | 0.231878i | \(-0.925513\pi\) |
−0.692962 | + | 0.720974i | \(0.743695\pi\) | |||||||
\(558\) | 3.01097 | + | 6.59311i | 0.127465 | + | 0.279109i | ||||
\(559\) | −13.3209 | − | 15.3732i | −0.563415 | − | 0.650216i | ||||
\(560\) | 0.526297 | + | 3.66047i | 0.0222401 | + | 0.154683i | ||||
\(561\) | 1.59322 | + | 0.467812i | 0.0672659 | + | 0.0197510i | ||||
\(562\) | 17.4283 | − | 20.1133i | 0.735168 | − | 0.848429i | ||||
\(563\) | −12.3508 | − | 7.93735i | −0.520523 | − | 0.334520i | 0.253856 | − | 0.967242i | \(-0.418301\pi\) |
−0.774379 | + | 0.632722i | \(0.781937\pi\) | |||||||
\(564\) | 5.64042 | + | 3.62488i | 0.237504 | + | 0.152635i | ||||
\(565\) | −17.2951 | + | 19.9597i | −0.727612 | + | 0.839709i | ||||
\(566\) | −2.19440 | − | 0.644334i | −0.0922375 | − | 0.0270834i | ||||
\(567\) | 0.142315 | + | 0.989821i | 0.00597666 | + | 0.0415686i | ||||
\(568\) | 10.5449 | + | 12.1695i | 0.442456 | + | 0.510621i | ||||
\(569\) | 14.7532 | + | 32.3051i | 0.618487 | + | 1.35430i | 0.916614 | + | 0.399772i | \(0.130911\pi\) |
−0.298127 | + | 0.954526i | \(0.596362\pi\) | |||||||
\(570\) | −8.01707 | + | 2.35402i | −0.335798 | + | 0.0985992i | ||||
\(571\) | 14.1894 | − | 31.0705i | 0.593809 | − | 1.30026i | −0.339303 | − | 0.940677i | \(-0.610191\pi\) |
0.933113 | − | 0.359584i | \(-0.117081\pi\) | |||||||
\(572\) | −0.252194 | + | 1.75405i | −0.0105448 | + | 0.0733405i | ||||
\(573\) | 19.4565 | − | 12.5039i | 0.812808 | − | 0.522360i | ||||
\(574\) | −2.50385 | −0.104509 | ||||||||
\(575\) | −10.8536 | + | 40.1684i | −0.452626 | + | 1.67514i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −9.90152 | + | 6.36332i | −0.412205 | + | 0.264908i | −0.730267 | − | 0.683162i | \(-0.760604\pi\) |
0.318062 | + | 0.948070i | \(0.396968\pi\) | |||||||
\(578\) | −0.355681 | + | 2.47382i | −0.0147944 | + | 0.102897i | ||||
\(579\) | −1.12217 | + | 2.45720i | −0.0466357 | + | 0.102118i | ||||
\(580\) | −22.8320 | + | 6.70408i | −0.948047 | + | 0.278372i | ||||
\(581\) | 2.47394 | + | 5.41718i | 0.102636 | + | 0.224742i | ||||
\(582\) | −2.36449 | − | 2.72877i | −0.0980112 | − | 0.113111i | ||||
\(583\) | −0.567621 | − | 3.94789i | −0.0235085 | − | 0.163505i | ||||
\(584\) | −3.89585 | − | 1.14393i | −0.161212 | − | 0.0473360i | ||||
\(585\) | −11.4127 | + | 13.1710i | −0.471858 | + | 0.544553i | ||||
\(586\) | −2.03313 | − | 1.30662i | −0.0839880 | − | 0.0539758i | ||||
\(587\) | 11.2844 | + | 7.25207i | 0.465759 | + | 0.299325i | 0.752392 | − | 0.658715i | \(-0.228900\pi\) |
−0.286633 | + | 0.958040i | \(0.592536\pi\) | |||||||
\(588\) | 0.654861 | − | 0.755750i | 0.0270060 | − | 0.0311666i | ||||
\(589\) | 15.7130 | + | 4.61376i | 0.647444 | + | 0.190107i | ||||
\(590\) | −7.68534 | − | 53.4527i | −0.316401 | − | 2.20061i | ||||
\(591\) | 15.8866 | + | 18.3341i | 0.653486 | + | 0.754163i | ||||
\(592\) | −3.50400 | − | 7.67270i | −0.144014 | − | 0.315346i | ||||
\(593\) | 17.7288 | − | 5.20563i | 0.728033 | − | 0.213770i | 0.103346 | − | 0.994645i | \(-0.467045\pi\) |
0.624687 | + | 0.780876i | \(0.285227\pi\) | |||||||
\(594\) | −0.156209 | + | 0.342051i | −0.00640935 | + | 0.0140345i | ||||
\(595\) | 2.32402 | − | 16.1639i | 0.0952755 | − | 0.662656i | ||||
\(596\) | −9.27376 | + | 5.95988i | −0.379868 | + | 0.244126i | ||||
\(597\) | −4.96647 | −0.203264 | ||||||||
\(598\) | −12.6286 | − | 18.7434i | −0.516420 | − | 0.766474i | ||||
\(599\) | 6.23252 | 0.254654 | 0.127327 | − | 0.991861i | \(-0.459360\pi\) | ||||
0.127327 | + | 0.991861i | \(0.459360\pi\) | |||||||
\(600\) | −7.29877 | + | 4.69063i | −0.297971 | + | 0.191494i | ||||
\(601\) | 3.42697 | − | 23.8351i | 0.139789 | − | 0.972254i | −0.792328 | − | 0.610096i | \(-0.791131\pi\) |
0.932117 | − | 0.362158i | \(-0.117960\pi\) | |||||||
\(602\) | −1.79311 | + | 3.92637i | −0.0730819 | + | 0.160027i | ||||
\(603\) | −5.56448 | + | 1.63388i | −0.226603 | + | 0.0665367i | ||||
\(604\) | 0.101970 | + | 0.223284i | 0.00414912 | + | 0.00908530i | ||||
\(605\) | 26.2968 | + | 30.3482i | 1.06912 | + | 1.23383i | ||||
\(606\) | −0.479291 | − | 3.33354i | −0.0194699 | − | 0.135416i | ||||
\(607\) | −29.3237 | − | 8.61022i | −1.19021 | − | 0.349478i | −0.374110 | − | 0.927384i | \(-0.622052\pi\) |
−0.816103 | + | 0.577906i | \(0.803870\pi\) | |||||||
\(608\) | 1.47959 | − | 1.70754i | 0.0600054 | − | 0.0692500i | ||||
\(609\) | 5.41313 | + | 3.47881i | 0.219351 | + | 0.140968i | ||||
\(610\) | −28.0792 | − | 18.0454i | −1.13689 | − | 0.730637i | ||||
\(611\) | 20.6915 | − | 23.8793i | 0.837090 | − | 0.966054i | ||||
\(612\) | −4.23693 | − | 1.24407i | −0.171268 | − | 0.0502887i | ||||
\(613\) | 1.04239 | + | 7.24996i | 0.0421016 | + | 0.292823i | 0.999984 | + | 0.00566223i | \(0.00180235\pi\) |
−0.957882 | + | 0.287161i | \(0.907289\pi\) | |||||||
\(614\) | −2.55354 | − | 2.94694i | −0.103052 | − | 0.118929i | ||||
\(615\) | −3.84655 | − | 8.42278i | −0.155108 | − | 0.339639i | ||||
\(616\) | 0.360800 | − | 0.105941i | 0.0145371 | − | 0.00426847i | ||||
\(617\) | −2.66583 | + | 5.83734i | −0.107322 | + | 0.235003i | −0.955672 | − | 0.294433i | \(-0.904869\pi\) |
0.848350 | + | 0.529436i | \(0.177596\pi\) | |||||||
\(618\) | −1.58951 | + | 11.0553i | −0.0639393 | + | 0.444707i | ||||
\(619\) | −9.78474 | + | 6.28827i | −0.393282 | + | 0.252747i | −0.722305 | − | 0.691575i | \(-0.756917\pi\) |
0.329023 | + | 0.944322i | \(0.393281\pi\) | |||||||
\(620\) | 26.8043 | 1.07649 | ||||||||
\(621\) | −1.45067 | − | 4.57117i | −0.0582132 | − | 0.183435i | ||||
\(622\) | 8.18630 | 0.328241 | ||||||||
\(623\) | −4.37675 | + | 2.81276i | −0.175351 | + | 0.112691i | ||||
\(624\) | 0.670671 | − | 4.66462i | 0.0268483 | − | 0.186734i | ||||
\(625\) | 2.86376 | − | 6.27075i | 0.114550 | − | 0.250830i | ||||
\(626\) | 7.67276 | − | 2.25292i | 0.306665 | − | 0.0900450i | ||||
\(627\) | 0.352940 | + | 0.772831i | 0.0140951 | + | 0.0308639i | ||||
\(628\) | 14.8392 | + | 17.1253i | 0.592147 | + | 0.683374i | ||||
\(629\) | 5.30080 | + | 36.8679i | 0.211357 | + | 1.47002i | ||||
\(630\) | 3.54832 | + | 1.04188i | 0.141368 | + | 0.0415095i | ||||
\(631\) | −15.5274 | + | 17.9196i | −0.618138 | + | 0.713369i | −0.975352 | − | 0.220653i | \(-0.929181\pi\) |
0.357214 | + | 0.934022i | \(0.383727\pi\) | |||||||
\(632\) | −6.35078 | − | 4.08140i | −0.252620 | − | 0.162349i | ||||
\(633\) | 16.9778 | + | 10.9110i | 0.674809 | + | 0.433673i | ||||
\(634\) | 7.07292 | − | 8.16259i | 0.280902 | − | 0.324178i | ||||
\(635\) | 47.9090 | + | 14.0673i | 1.90121 | + | 0.558246i | ||||
\(636\) | 1.50950 | + | 10.4988i | 0.0598556 | + | 0.416305i | ||||
\(637\) | −3.08609 | − | 3.56154i | −0.122275 | − | 0.141113i | ||||
\(638\) | 1.00515 | + | 2.20096i | 0.0397941 | + | 0.0871369i | ||||
\(639\) | 15.4503 | − | 4.53662i | 0.611205 | − | 0.179466i | ||||
\(640\) | 1.53625 | − | 3.36392i | 0.0607257 | − | 0.132971i | ||||
\(641\) | 7.12692 | − | 49.5688i | 0.281497 | − | 1.95785i | −0.00571383 | − | 0.999984i | \(-0.501819\pi\) |
0.287210 | − | 0.957868i | \(-0.407272\pi\) | |||||||
\(642\) | −12.3062 | + | 7.90870i | −0.485686 | + | 0.312131i | ||||
\(643\) | 11.6913 | 0.461059 | 0.230530 | − | 0.973065i | \(-0.425954\pi\) | ||||
0.230530 | + | 0.973065i | \(0.425954\pi\) | |||||||
\(644\) | −2.50467 | + | 4.08982i | −0.0986980 | + | 0.161161i | ||||
\(645\) | −15.9627 | −0.628531 | ||||||||
\(646\) | −8.39323 | + | 5.39400i | −0.330227 | + | 0.212224i | ||||
\(647\) | −1.64410 | + | 11.4350i | −0.0646363 | + | 0.449556i | 0.931643 | + | 0.363375i | \(0.118375\pi\) |
−0.996279 | + | 0.0861811i | \(0.972534\pi\) | |||||||
\(648\) | 0.415415 | − | 0.909632i | 0.0163190 | − | 0.0357337i | ||||
\(649\) | −5.26865 | + | 1.54702i | −0.206813 | + | 0.0607257i | ||||
\(650\) | 16.9850 | + | 37.1919i | 0.666205 | + | 1.45878i | ||||
\(651\) | −4.74650 | − | 5.47775i | −0.186030 | − | 0.214690i | ||||
\(652\) | −1.46211 | − | 10.1692i | −0.0572606 | − | 0.398256i | ||||
\(653\) | −45.1683 | − | 13.2626i | −1.76757 | − | 0.519006i | −0.774099 | − | 0.633065i | \(-0.781797\pi\) |
−0.993474 | + | 0.114059i | \(0.963615\pi\) | |||||||
\(654\) | 7.27566 | − | 8.39656i | 0.284501 | − | 0.328332i | ||||
\(655\) | 29.7210 | + | 19.1005i | 1.16130 | + | 0.746320i | ||||
\(656\) | 2.10638 | + | 1.35369i | 0.0822402 | + | 0.0528526i | ||||
\(657\) | −2.65895 | + | 3.06859i | −0.103735 | + | 0.119717i | ||||
\(658\) | −6.43319 | − | 1.88895i | −0.250792 | − | 0.0736391i | ||||
\(659\) | 5.36739 | + | 37.3310i | 0.209084 | + | 1.45421i | 0.776155 | + | 0.630542i | \(0.217167\pi\) |
−0.567072 | + | 0.823668i | \(0.691924\pi\) | |||||||
\(660\) | 0.910657 | + | 1.05095i | 0.0354473 | + | 0.0409083i | ||||
\(661\) | −2.72724 | − | 5.97183i | −0.106077 | − | 0.232277i | 0.849149 | − | 0.528154i | \(-0.177116\pi\) |
−0.955226 | + | 0.295877i | \(0.904388\pi\) | |||||||
\(662\) | −1.87037 | + | 0.549190i | −0.0726940 | + | 0.0213449i | ||||
\(663\) | −8.64472 | + | 18.9293i | −0.335733 | + | 0.735153i | ||||
\(664\) | 0.847535 | − | 5.89473i | 0.0328907 | − | 0.228760i | ||||
\(665\) | 7.02912 | − | 4.51734i | 0.272577 | − | 0.175175i | ||||
\(666\) | −8.43495 | −0.326848 | ||||||||
\(667\) | −28.3421 | − | 12.2073i | −1.09741 | − | 0.472669i | ||||
\(668\) | −6.56859 | −0.254146 | ||||||||
\(669\) | −2.69824 | + | 1.73405i | −0.104320 | + | 0.0670424i | ||||
\(670\) | −3.05220 | + | 21.2285i | −0.117917 | + | 0.820130i | ||||
\(671\) | −1.40989 | + | 3.08722i | −0.0544281 | + | 0.119181i | ||||
\(672\) | −0.959493 | + | 0.281733i | −0.0370132 | + | 0.0108681i | ||||
\(673\) | 19.5291 | + | 42.7627i | 0.752790 | + | 1.64838i | 0.761285 | + | 0.648417i | \(0.224569\pi\) |
−0.00849474 | + | 0.999964i | \(0.502704\pi\) | |||||||
\(674\) | 22.6705 | + | 26.1631i | 0.873234 | + | 1.00777i | ||||
\(675\) | 1.23473 | + | 8.58775i | 0.0475249 | + | 0.330543i | ||||
\(676\) | −8.83549 | − | 2.59433i | −0.339827 | − | 0.0997821i | ||||
\(677\) | −14.9097 | + | 17.2067i | −0.573026 | + | 0.661307i | −0.966090 | − | 0.258204i | \(-0.916869\pi\) |
0.393065 | + | 0.919511i | \(0.371415\pi\) | |||||||
\(678\) | −6.00789 | − | 3.86103i | −0.230731 | − | 0.148282i | ||||
\(679\) | 3.03749 | + | 1.95208i | 0.116568 | + | 0.0749139i | ||||
\(680\) | −10.6940 | + | 12.3415i | −0.410095 | + | 0.473274i | ||||
\(681\) | 1.35768 | + | 0.398650i | 0.0520263 | + | 0.0152763i | ||||
\(682\) | −0.387882 | − | 2.69778i | −0.0148528 | − | 0.103303i | ||||
\(683\) | −20.1741 | − | 23.2821i | −0.771939 | − | 0.890865i | 0.224561 | − | 0.974460i | \(-0.427905\pi\) |
−0.996500 | + | 0.0835949i | \(0.973360\pi\) | |||||||
\(684\) | −0.938589 | − | 2.05522i | −0.0358879 | − | 0.0785834i | ||||
\(685\) | 27.9735 | − | 8.21375i | 1.06881 | − | 0.313831i | ||||
\(686\) | −0.415415 | + | 0.909632i | −0.0158606 | + | 0.0347299i | ||||
\(687\) | 3.90739 | − | 27.1765i | 0.149076 | − | 1.03685i | ||||
\(688\) | 3.63122 | − | 2.33364i | 0.138439 | − | 0.0889694i | ||||
\(689\) | 49.9854 | 1.90429 | ||||||||
\(690\) | −17.6057 | − | 2.14254i | −0.670236 | − | 0.0815650i | ||||
\(691\) | −45.5989 | −1.73466 | −0.867332 | − | 0.497730i | \(-0.834167\pi\) | ||||
−0.867332 | + | 0.497730i | \(0.834167\pi\) | |||||||
\(692\) | 4.51677 | − | 2.90275i | 0.171702 | − | 0.110346i | ||||
\(693\) | 0.0535150 | − | 0.372205i | 0.00203287 | − | 0.0141389i | ||||
\(694\) | −4.57391 | + | 10.0155i | −0.173623 | + | 0.380182i | ||||
\(695\) | −28.1321 | + | 8.26034i | −1.06711 | + | 0.313332i | ||||
\(696\) | −2.67303 | − | 5.85312i | −0.101321 | − | 0.221862i | ||||
\(697\) | −7.24048 | − | 8.35595i | −0.274253 | − | 0.316504i | ||||
\(698\) | −0.201600 | − | 1.40216i | −0.00763066 | − | 0.0530724i | ||||
\(699\) | −1.27156 | − | 0.373363i | −0.0480948 | − | 0.0141219i | ||||
\(700\) | 5.68161 | − | 6.55693i | 0.214745 | − | 0.247829i | ||||
\(701\) | 30.7142 | + | 19.7388i | 1.16006 | + | 0.745524i | 0.971617 | − | 0.236560i | \(-0.0760200\pi\) |
0.188442 | + | 0.982084i | \(0.439656\pi\) | |||||||
\(702\) | −3.96448 | − | 2.54782i | −0.149630 | − | 0.0961612i | ||||
\(703\) | −12.4803 | + | 14.4030i | −0.470703 | + | 0.543220i | ||||
\(704\) | −0.360800 | − | 0.105941i | −0.0135982 | − | 0.00399279i | ||||
\(705\) | −3.52870 | − | 24.5427i | −0.132899 | − | 0.924330i | ||||
\(706\) | 4.06871 | + | 4.69555i | 0.153128 | + | 0.176719i | ||||
\(707\) | 1.39904 | + | 3.06348i | 0.0526164 | + | 0.115214i | ||||
\(708\) | 14.0112 | − | 4.11405i | 0.526572 | − | 0.154616i | ||||
\(709\) | −6.99667 | + | 15.3206i | −0.262765 | + | 0.575376i | −0.994323 | − | 0.106404i | \(-0.966066\pi\) |
0.731558 | + | 0.681780i | \(0.238794\pi\) | |||||||
\(710\) | 8.47473 | − | 58.9431i | 0.318051 | − | 2.21209i | ||||
\(711\) | −6.35078 | + | 4.08140i | −0.238173 | + | 0.153064i | ||||
\(712\) | 5.20265 | 0.194978 | ||||||||
\(713\) | 26.7581 | + | 22.1881i | 1.00210 | + | 0.830949i | ||||
\(714\) | 4.41580 | 0.165257 | ||||||||
\(715\) | 5.51305 | − | 3.54302i | 0.206177 | − | 0.132502i | ||||
\(716\) | 3.66883 | − | 25.5173i | 0.137111 | − | 0.953627i | ||||
\(717\) | 1.50777 | − | 3.30155i | 0.0563086 | − | 0.123299i | ||||
\(718\) | 13.8179 | − | 4.05731i | 0.515681 | − | 0.151418i | ||||
\(719\) | 4.46996 | + | 9.78785i | 0.166701 | + | 0.365025i | 0.974485 | − | 0.224455i | \(-0.0720600\pi\) |
−0.807783 | + | 0.589480i | \(0.799333\pi\) | |||||||
\(720\) | −2.42175 | − | 2.79485i | −0.0902533 | − | 0.104158i | ||||
\(721\) | −1.58951 | − | 11.0553i | −0.0591963 | − | 0.411719i | ||||
\(722\) | 13.3323 | + | 3.91470i | 0.496175 | + | 0.145690i | ||||
\(723\) | −14.0384 | + | 16.2012i | −0.522094 | + | 0.602528i | ||||
\(724\) | 18.5450 | + | 11.9181i | 0.689218 | + | 0.442934i | ||||
\(725\) | 46.9646 | + | 30.1823i | 1.74422 | + | 1.12094i | ||||
\(726\) | −7.11087 | + | 8.20638i | −0.263909 | + | 0.304567i | ||||
\(727\) | −19.9403 | − | 5.85499i | −0.739543 | − | 0.217149i | −0.109801 | − | 0.993954i | \(-0.535021\pi\) |
−0.629742 | + | 0.776804i | \(0.716839\pi\) | |||||||
\(728\) | 0.670671 | + | 4.66462i | 0.0248567 | + | 0.172882i | ||||
\(729\) | −0.654861 | − | 0.755750i | −0.0242541 | − | 0.0279907i | ||||
\(730\) | 6.23769 | + | 13.6586i | 0.230867 | + | 0.505529i | ||||
\(731\) | −18.2884 | + | 5.36997i | −0.676423 | + | 0.198616i | ||||
\(732\) | 3.74938 | − | 8.21000i | 0.138581 | − | 0.303450i | ||||
\(733\) | 2.04338 | − | 14.2120i | 0.0754738 | − | 0.524932i | −0.916652 | − | 0.399686i | \(-0.869119\pi\) |
0.992126 | − | 0.125246i | \(-0.0399719\pi\) | |||||||
\(734\) | 23.6739 | − | 15.2143i | 0.873820 | − | 0.561570i | ||||
\(735\) | −3.69812 | −0.136407 | ||||||||
\(736\) | 4.31819 | − | 2.08644i | 0.159171 | − | 0.0769074i | ||||
\(737\) | 2.18076 | 0.0803294 | ||||||||
\(738\) | 2.10638 | − | 1.35369i | 0.0775368 | − | 0.0498299i | ||||
\(739\) | 0.160585 | − | 1.11689i | 0.00590721 | − | 0.0410855i | −0.986655 | − | 0.162827i | \(-0.947939\pi\) |
0.992562 | + | 0.121741i | \(0.0388479\pi\) | |||||||
\(740\) | −12.9582 | + | 28.3745i | −0.476353 | + | 1.04307i | ||||
\(741\) | −10.2163 | + | 2.99978i | −0.375306 | + | 0.110200i | ||||
\(742\) | −4.40621 | − | 9.64826i | −0.161757 | − | 0.354199i | ||||
\(743\) | 3.49855 | + | 4.03754i | 0.128349 | + | 0.148123i | 0.816287 | − | 0.577647i | \(-0.196029\pi\) |
−0.687937 | + | 0.725770i | \(0.741484\pi\) | |||||||
\(744\) | 1.03151 | + | 7.17433i | 0.0378171 | + | 0.263024i | ||||
\(745\) | 39.1157 | + | 11.4854i | 1.43309 | + | 0.420793i | ||||
\(746\) | 0.0472938 | − | 0.0545799i | 0.00173155 | − | 0.00199831i | ||||
\(747\) | −5.00996 | − | 3.21971i | −0.183305 | − | 0.117803i | ||||
\(748\) | 1.39689 | + | 0.897725i | 0.0510752 | + | 0.0328241i | ||||
\(749\) | 9.57955 | − | 11.0554i | 0.350029 | − | 0.403955i | ||||
\(750\) | 13.0438 | + | 3.83001i | 0.476293 | + | 0.139852i | ||||
\(751\) | 1.80109 | + | 12.5268i | 0.0657226 | + | 0.457110i | 0.995934 | + | 0.0900863i | \(0.0287143\pi\) |
−0.930211 | + | 0.367024i | \(0.880377\pi\) | |||||||
\(752\) | 4.39069 | + | 5.06713i | 0.160112 | + | 0.184779i | ||||
\(753\) | −7.82328 | − | 17.1306i | −0.285096 | − | 0.624274i | ||||
\(754\) | −29.0953 | + | 8.54315i | −1.05959 | + | 0.311123i | ||||
\(755\) | 0.377098 | − | 0.825730i | 0.0137240 | − | 0.0300514i | ||||
\(756\) | −0.142315 | + | 0.989821i | −0.00517594 | + | 0.0359995i | ||||
\(757\) | −35.9838 | + | 23.1254i | −1.30785 | + | 0.840506i | −0.994044 | − | 0.108980i | \(-0.965241\pi\) |
−0.313809 | + | 0.949486i | \(0.601605\pi\) | |||||||
\(758\) | 0.337118 | 0.0122447 | ||||||||
\(759\) | 0.0391288 | + | 1.80296i | 0.00142029 | + | 0.0654434i | ||||
\(760\) | −8.35553 | −0.303087 | ||||||||
\(761\) | −10.2519 | + | 6.58850i | −0.371632 | + | 0.238833i | −0.713103 | − | 0.701059i | \(-0.752711\pi\) |
0.341472 | + | 0.939892i | \(0.389075\pi\) | |||||||
\(762\) | −1.92152 | + | 13.3645i | −0.0696093 | + | 0.484143i | ||||
\(763\) | −4.61536 | + | 10.1062i | −0.167087 | + | 0.365870i | ||||
\(764\) | 22.1912 | − | 6.51591i | 0.802848 | − | 0.235737i | ||||
\(765\) | 6.78378 | + | 14.8544i | 0.245268 | + | 0.537062i | ||||
\(766\) | 13.9200 | + | 16.0645i | 0.502949 | + | 0.580434i | ||||
\(767\) | −9.79360 | − | 68.1160i | −0.353626 | − | 2.45953i | ||||
\(768\) | 0.959493 | + | 0.281733i | 0.0346227 | + | 0.0101661i | ||||
\(769\) | −18.7795 | + | 21.6727i | −0.677205 | + | 0.781536i | −0.985486 | − | 0.169760i | \(-0.945701\pi\) |
0.308281 | + | 0.951295i | \(0.400246\pi\) | |||||||
\(770\) | −1.16986 | − | 0.751821i | −0.0421587 | − | 0.0270938i | ||||
\(771\) | −16.2282 | − | 10.4292i | −0.584444 | − | 0.375599i | ||||
\(772\) | −1.76899 | + | 2.04152i | −0.0636672 | + | 0.0734759i | ||||
\(773\) | −18.9601 | − | 5.56717i | −0.681946 | − | 0.200237i | −0.0776299 | − | 0.996982i | \(-0.524735\pi\) |
−0.604316 | + | 0.796745i | \(0.706553\pi\) | |||||||
\(774\) | −0.614294 | − | 4.27251i | −0.0220803 | − | 0.153572i | ||||
\(775\) | −41.1809 | − | 47.5253i | −1.47926 | − | 1.70716i | ||||
\(776\) | −1.49993 | − | 3.28438i | −0.0538443 | − | 0.117903i | ||||
\(777\) | 8.09327 | − | 2.37640i | 0.290345 | − | 0.0852529i | ||||
\(778\) | 8.95806 | − | 19.6154i | 0.321162 | − | 0.703247i | ||||
\(779\) | 0.805105 | − | 5.59963i | 0.0288459 | − | 0.200628i | ||||
\(780\) | −14.6611 | + | 9.42213i | −0.524952 | + | 0.337366i | ||||
\(781\) | −6.05509 | −0.216668 | ||||||||
\(782\) | −20.8915 | + | 3.46797i | −0.747080 | + | 0.124014i | ||||
\(783\) | −6.43460 | −0.229954 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | 11.9259 | − | 82.9465i | 0.425654 | − | 2.96049i | ||||
\(786\) | −3.96861 | + | 8.69005i | −0.141556 | + | 0.309964i | ||||
\(787\) | 18.8646 | − | 5.53916i | 0.672452 | − | 0.197450i | 0.0723572 | − | 0.997379i | \(-0.476948\pi\) |
0.600094 | + | 0.799929i | \(0.295130\pi\) | |||||||
\(788\) | 10.0777 | + | 22.0672i | 0.359005 | + | 0.786111i | ||||
\(789\) | 10.4162 | + | 12.0209i | 0.370827 | + | 0.427957i | ||||
\(790\) | 3.97311 | + | 27.6336i | 0.141357 | + | 0.983159i | ||||
\(791\) | 6.85230 | + | 2.01202i | 0.243640 | + | 0.0715391i | ||||
\(792\) | −0.246249 | + | 0.284186i | −0.00875007 | + | 0.0100981i | ||||
\(793\) | −35.7819 | − | 22.9957i | −1.27065 | − | 0.816599i | ||||
\(794\) | −7.00538 | − | 4.50208i | −0.248612 | − | 0.159773i | ||||
\(795\) | 25.6870 | − | 29.6443i | 0.911022 | − | 1.05138i | ||||
\(796\) | −4.76529 | − | 1.39922i | −0.168901 | − | 0.0495939i | ||||
\(797\) | 3.32881 | + | 23.1524i | 0.117913 | + | 0.820100i | 0.959848 | + | 0.280522i | \(0.0905074\pi\) |
−0.841935 | + | 0.539579i | \(0.818583\pi\) | |||||||
\(798\) | 1.47959 | + | 1.70754i | 0.0523770 | + | 0.0604463i | ||||
\(799\) | −12.2992 | − | 26.9314i | −0.435113 | − | 0.952765i | ||||
\(800\) | −8.32462 | + | 2.44433i | −0.294320 | + | 0.0864201i | ||||
\(801\) | 2.16126 | − | 4.73250i | 0.0763643 | − | 0.167215i | ||||
\(802\) | −3.35120 | + | 23.3081i | −0.118335 | + | 0.823038i | ||||
\(803\) | 1.28444 | − | 0.825458i | 0.0453268 | − | 0.0291298i | ||||
\(804\) | −5.79940 | −0.204529 | ||||||||
\(805\) | 17.4961 | − | 2.90433i | 0.616657 | − | 0.102364i | ||||
\(806\) | 34.1573 | 1.20314 | ||||||||
\(807\) | −5.71294 | + | 3.67148i | −0.201105 | + | 0.129242i | ||||
\(808\) | 0.479291 | − | 3.33354i | 0.0168614 | − | 0.117274i | ||||
\(809\) | −15.9489 | + | 34.9233i | −0.560735 | + | 1.22784i | 0.390851 | + | 0.920454i | \(0.372181\pi\) |
−0.951586 | + | 0.307384i | \(0.900547\pi\) | |||||||
\(810\) | −3.54832 | + | 1.04188i | −0.124675 | + | 0.0366079i | ||||
\(811\) | −22.2231 | − | 48.6619i | −0.780360 | − | 1.70875i | −0.702388 | − | 0.711794i | \(-0.747883\pi\) |
−0.0779720 | − | 0.996956i | \(-0.524844\pi\) | |||||||
\(812\) | 4.21377 | + | 4.86294i | 0.147874 | + | 0.170656i | ||||
\(813\) | −1.60839 | − | 11.1866i | −0.0564086 | − | 0.392330i | ||||
\(814\) | 3.04333 | + | 0.893603i | 0.106669 | + | 0.0313208i | ||||
\(815\) | −24.8805 | + | 28.7136i | −0.871525 | + | 1.00579i | ||||
\(816\) | −3.71480 | − | 2.38736i | −0.130044 | − | 0.0835743i | ||||
\(817\) | −8.20439 | − | 5.27264i | −0.287035 | − | 0.184466i | ||||
\(818\) | −7.96098 | + | 9.18746i | −0.278349 | + | 0.321232i | ||||
\(819\) | 4.52170 | + | 1.32769i | 0.158001 | + | 0.0463932i | ||||
\(820\) | −1.31777 | − | 9.16530i | −0.0460185 | − | 0.320066i | ||||
\(821\) | −16.8229 | − | 19.4146i | −0.587123 | − | 0.677576i | 0.381998 | − | 0.924163i | \(-0.375236\pi\) |
−0.969121 | + | 0.246587i | \(0.920691\pi\) | |||||||
\(822\) | 3.27496 | + | 7.17116i | 0.114227 | + | 0.250123i | ||||
\(823\) | 49.1551 | − | 14.4333i | 1.71344 | − | 0.503112i | 0.729862 | − | 0.683594i | \(-0.239584\pi\) |
0.983578 | + | 0.180483i | \(0.0577660\pi\) | |||||||
\(824\) | −4.63974 | + | 10.1596i | −0.161633 | + | 0.353927i | ||||
\(825\) | 0.464299 | − | 3.22927i | 0.0161648 | − | 0.112429i | ||||
\(826\) | −12.2846 | + | 7.89481i | −0.427434 | + | 0.274695i | ||||
\(827\) | −21.0792 | −0.732996 | −0.366498 | − | 0.930419i | \(-0.619443\pi\) | ||||
−0.366498 | + | 0.930419i | \(0.619443\pi\) | |||||||
\(828\) | −0.104057 | − | 4.79470i | −0.00361623 | − | 0.166627i | ||||
\(829\) | 0.286204 | 0.00994026 | 0.00497013 | − | 0.999988i | \(-0.498418\pi\) | ||||
0.00497013 | + | 0.999988i | \(0.498418\pi\) | |||||||
\(830\) | −18.5274 | + | 11.9068i | −0.643096 | + | 0.413293i | ||||
\(831\) | −0.951229 | + | 6.61595i | −0.0329978 | + | 0.229505i | ||||
\(832\) | 1.95768 | − | 4.28672i | 0.0678704 | − | 0.148615i | ||||
\(833\) | −4.23693 | + | 1.24407i | −0.146801 | + | 0.0431046i | ||||
\(834\) | −3.29354 | − | 7.21184i | −0.114046 | − | 0.249726i | ||||
\(835\) | 15.9075 | + | 18.3582i | 0.550501 | + | 0.635312i | ||||
\(836\) | 0.120912 | + | 0.840960i | 0.00418182 | + | 0.0290852i | ||||
\(837\) | 6.95451 | + | 2.04203i | 0.240383 | + | 0.0705828i | ||||
\(838\) | 10.8393 | − | 12.5092i | 0.374438 | − | 0.432125i | ||||
\(839\) | −20.9968 | − | 13.4938i | −0.724890 | − | 0.465858i | 0.125445 | − | 0.992101i | \(-0.459964\pi\) |
−0.850335 | + | 0.526242i | \(0.823600\pi\) | |||||||
\(840\) | 3.11105 | + | 1.99935i | 0.107342 | + | 0.0689842i | ||||
\(841\) | −8.12292 | + | 9.37435i | −0.280101 | + | 0.323253i | ||||
\(842\) | 10.6007 | + | 3.11263i | 0.365323 | + | 0.107268i | ||||
\(843\) | −3.78753 | − | 26.3428i | −0.130449 | − | 0.907295i | ||||
\(844\) | 13.2161 | + | 15.2522i | 0.454918 | + | 0.525004i | ||||
\(845\) | 14.1466 | + | 30.9767i | 0.486657 | + | 1.06563i | ||||
\(846\) | 6.43319 | − | 1.88895i | 0.221177 | − | 0.0649436i | ||||
\(847\) | 4.51083 | − | 9.87733i | 0.154994 | − | 0.339389i | ||||
\(848\) | −1.50950 | + | 10.4988i | −0.0518365 | + | 0.360531i | ||||
\(849\) | −1.92398 | + | 1.23647i | −0.0660309 | + | 0.0424355i | ||||
\(850\) | 38.3117 | 1.31408 | ||||||||
\(851\) | −36.4237 | + | 17.5991i | −1.24859 | + | 0.603288i | ||||
\(852\) | 16.1026 | 0.551665 | ||||||||
\(853\) | −14.5166 | + | 9.32927i | −0.497040 | + | 0.319428i | −0.765031 | − | 0.643993i | \(-0.777277\pi\) |
0.267991 | + | 0.963421i | \(0.413640\pi\) | |||||||
\(854\) | −1.28448 | + | 8.93376i | −0.0439540 | + | 0.305707i | ||||
\(855\) | −3.47101 | + | 7.60046i | −0.118706 | + | 0.259930i | ||||
\(856\) | −14.0358 | + | 4.12129i | −0.479735 | + | 0.140863i | ||||
\(857\) | −22.4809 | − | 49.2262i | −0.767932 | − | 1.68154i | −0.731154 | − | 0.682213i | \(-0.761018\pi\) |
−0.0367778 | − | 0.999323i | \(-0.511709\pi\) | |||||||
\(858\) | 1.16047 | + | 1.33925i | 0.0396178 | + | 0.0457214i | ||||
\(859\) | 0.615755 | + | 4.28267i | 0.0210093 | + | 0.146123i | 0.997626 | − | 0.0688652i | \(-0.0219378\pi\) |
−0.976617 | + | 0.214988i | \(0.931029\pi\) | |||||||
\(860\) | −15.3161 | − | 4.49721i | −0.522275 | − | 0.153354i | ||||
\(861\) | −1.63968 | + | 1.89229i | −0.0558800 | + | 0.0644890i | ||||
\(862\) | −8.21099 | − | 5.27688i | −0.279667 | − | 0.179731i | ||||
\(863\) | −21.6103 | − | 13.8881i | −0.735623 | − | 0.472756i | 0.118417 | − | 0.992964i | \(-0.462218\pi\) |
−0.854040 | + | 0.520208i | \(0.825854\pi\) | |||||||
\(864\) | 0.654861 | − | 0.755750i | 0.0222788 | − | 0.0257111i | ||||
\(865\) | −19.0512 | − | 5.59395i | −0.647761 | − | 0.190200i | ||||
\(866\) | 2.50174 | + | 17.4000i | 0.0850124 | + | 0.591274i | ||||
\(867\) | 1.63667 | + | 1.88881i | 0.0555841 | + | 0.0641475i | ||||
\(868\) | −3.01097 | − | 6.59311i | −0.102199 | − | 0.223785i | ||||
\(869\) | 2.72375 | − | 0.799765i | 0.0923968 | − | 0.0271302i | ||||
\(870\) | −9.88517 | + | 21.6455i | −0.335139 | + | 0.733851i | ||||
\(871\) | −3.88949 | + | 27.0520i | −0.131790 | + | 0.916622i | ||||
\(872\) | 9.34653 | − | 6.00665i | 0.316513 | − | 0.203411i | ||||
\(873\) | −3.61067 | −0.122203 | ||||||||
\(874\) | −8.34112 | − | 6.91653i | −0.282142 | − | 0.233955i | ||||
\(875\) | −13.5945 | −0.459578 | ||||||||
\(876\) | −3.41576 | + | 2.19518i | −0.115408 | + | 0.0741682i | ||||
\(877\) | 0.0445081 | − | 0.309560i | 0.00150293 | − | 0.0104531i | −0.989056 | − | 0.147539i | \(-0.952865\pi\) |
0.990559 | + | 0.137086i | \(0.0437738\pi\) | |||||||
\(878\) | 5.38256 | − | 11.7862i | 0.181653 | − | 0.397764i | ||||
\(879\) | −2.31890 | + | 0.680889i | −0.0782144 | + | 0.0229658i | ||||
\(880\) | 0.577681 | + | 1.26494i | 0.0194736 | + | 0.0426413i | ||||
\(881\) | 12.7962 | + | 14.7676i | 0.431116 | + | 0.497534i | 0.929191 | − | 0.369600i | \(-0.120505\pi\) |
−0.498075 | + | 0.867134i | \(0.665960\pi\) | |||||||
\(882\) | −0.142315 | − | 0.989821i | −0.00479199 | − | 0.0333290i | ||||
\(883\) | 38.6710 | + | 11.3548i | 1.30138 | + | 0.382120i | 0.857740 | − | 0.514084i | \(-0.171868\pi\) |
0.443642 | + | 0.896204i | \(0.353686\pi\) | |||||||
\(884\) | −13.6275 | + | 15.7270i | −0.458344 | + | 0.528957i | ||||
\(885\) | −45.4297 | − | 29.1959i | −1.52710 | − | 0.981410i | ||||
\(886\) | 34.2541 | + | 22.0138i | 1.15079 | + | 0.739568i | ||||
\(887\) | −1.62755 | + | 1.87829i | −0.0546478 | + | 0.0630669i | −0.782415 | − | 0.622757i | \(-0.786013\pi\) |
0.727768 | + | 0.685824i | \(0.240558\pi\) | |||||||
\(888\) | −8.09327 | − | 2.37640i | −0.271593 | − | 0.0797468i | ||||
\(889\) | −1.92152 | − | 13.3645i | −0.0644457 | − | 0.448230i | ||||
\(890\) | −12.5995 | − | 14.5406i | −0.422337 | − | 0.487403i | ||||
\(891\) | 0.156209 | + | 0.342051i | 0.00523322 | + | 0.0114591i | ||||
\(892\) | −3.07748 | + | 0.903631i | −0.103042 | + | 0.0302558i | ||||
\(893\) | 6.29303 | − | 13.7798i | 0.210588 | − | 0.461124i | ||||
\(894\) | −1.56884 | + | 10.9115i | −0.0524699 | + | 0.364936i | ||||
\(895\) | −80.2020 | + | 51.5427i | −2.68086 | + | 1.72288i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −22.4353 | − | 2.73028i | −0.749092 | − | 0.0911615i | ||||
\(898\) | 29.0588 | 0.969706 | ||||||||
\(899\) | 39.2349 | − | 25.2148i | 1.30856 | − | 0.840959i | ||||
\(900\) | −1.23473 | + | 8.58775i | −0.0411577 | + | 0.286258i | ||||
\(901\) | 19.4569 | − | 42.6047i | 0.648204 | − | 1.41937i | ||||
\(902\) | −0.903392 | + | 0.265260i | −0.0300797 | + | 0.00883219i | ||||
\(903\) | 1.79311 | + | 3.92637i | 0.0596711 | + | 0.130662i | ||||
\(904\) | −4.67675 | − | 5.39725i | −0.155546 | − | 0.179510i | ||||
\(905\) | −11.6019 | − | 80.6931i | −0.385661 | − | 2.68233i | ||||
\(906\) | 0.235523 | + | 0.0691558i | 0.00782473 | + | 0.00229755i | ||||
\(907\) | −23.0118 | + | 26.5570i | −0.764095 | + | 0.881812i | −0.995854 | − | 0.0909607i | \(-0.971006\pi\) |
0.231760 | + | 0.972773i | \(0.425552\pi\) | |||||||
\(908\) | 1.19037 | + | 0.765004i | 0.0395038 | + | 0.0253876i | ||||
\(909\) | −2.83319 | − | 1.82078i | −0.0939710 | − | 0.0603915i | ||||
\(910\) | 11.4127 | − | 13.1710i | 0.378328 | − | 0.436614i | ||||
\(911\) | −2.46034 | − | 0.722422i | −0.0815149 | − | 0.0239349i | 0.240721 | − | 0.970594i | \(-0.422616\pi\) |
−0.322236 | + | 0.946659i | \(0.604434\pi\) | |||||||
\(912\) | −0.321546 | − | 2.23640i | −0.0106475 | − | 0.0740547i | ||||
\(913\) | 1.46650 | + | 1.69243i | 0.0485340 | + | 0.0560112i | ||||
\(914\) | −9.90735 | − | 21.6941i | −0.327706 | − | 0.717576i | ||||
\(915\) | −32.0258 | + | 9.40361i | −1.05874 | + | 0.310874i | ||||
\(916\) | 11.4056 | − | 24.9748i | 0.376852 | − | 0.825191i | ||||
\(917\) | 1.35959 | − | 9.45613i | 0.0448975 | − | 0.312269i | ||||
\(918\) | −3.71480 | + | 2.38736i | −0.122607 | + | 0.0787946i | ||||
\(919\) | −13.7563 | −0.453779 | −0.226890 | − | 0.973920i | \(-0.572856\pi\) | ||||
−0.226890 | + | 0.973920i | \(0.572856\pi\) | |||||||
\(920\) | −16.2889 | − | 7.01584i | −0.537028 | − | 0.231305i | ||||
\(921\) | −3.89936 | −0.128488 | ||||||||
\(922\) | 18.2700 | − | 11.7414i | 0.601692 | − | 0.386684i | ||||
\(923\) | 10.7995 | − | 75.1124i | 0.355471 | − | 2.47236i | ||||
\(924\) | 0.156209 | − | 0.342051i | 0.00513892 | − | 0.0112527i | ||||
\(925\) | 70.2177 | − | 20.6178i | 2.30875 | − | 0.677909i | ||||
\(926\) | 1.03859 | + | 2.27419i | 0.0341302 | + | 0.0747346i | ||||
\(927\) | 7.31410 | + | 8.44092i | 0.240226 | + | 0.277236i | ||||
\(928\) | −0.915739 | − | 6.36910i | −0.0300606 | − | 0.209076i | ||||
\(929\) | −23.8889 | − | 7.01441i | −0.783769 | − | 0.230135i | −0.134722 | − | 0.990883i | \(-0.543014\pi\) |
−0.649047 | + | 0.760748i | \(0.724832\pi\) | |||||||
\(930\) | 17.5531 | − | 20.2574i | 0.575589 | − | 0.664265i | ||||
\(931\) | −1.90073 | − | 1.22152i | −0.0622939 | − | 0.0400338i | ||||
\(932\) | −1.11486 | − | 0.716479i | −0.0365186 | − | 0.0234691i | ||||
\(933\) | 5.36089 | − | 6.18679i | 0.175508 | − | 0.202547i | ||||
\(934\) | 40.7877 | + | 11.9763i | 1.33461 | + | 0.391878i | ||||
\(935\) | −0.873907 | − | 6.07815i | −0.0285798 | − | 0.198777i | ||||
\(936\) | −3.08609 | − | 3.56154i | −0.100872 | − | 0.116412i | ||||
\(937\) | −9.76081 | − | 21.3732i | −0.318872 | − | 0.698232i | 0.680533 | − | 0.732717i | \(-0.261748\pi\) |
−0.999405 | + | 0.0344852i | \(0.989021\pi\) | |||||||
\(938\) | 5.56448 | − | 1.63388i | 0.181687 | − | 0.0533481i | ||||
\(939\) | 3.32194 | − | 7.27403i | 0.108407 | − | 0.237379i | ||||
\(940\) | 3.52870 | − | 24.5427i | 0.115094 | − | 0.800493i | ||||
\(941\) | 40.5854 | − | 26.0827i | 1.32305 | − | 0.850271i | 0.327529 | − | 0.944841i | \(-0.393784\pi\) |
0.995518 | + | 0.0945707i | \(0.0301479\pi\) | |||||||
\(942\) | 22.6600 | 0.738304 | ||||||||
\(943\) | 6.27134 | − | 10.2403i | 0.204223 | − | 0.333470i | ||||
\(944\) | 14.6027 | 0.475277 | ||||||||
\(945\) | 3.11105 | − | 1.99935i | 0.101203 | − | 0.0650389i | ||||
\(946\) | −0.230994 | + | 1.60660i | −0.00751027 | + | 0.0522351i | ||||
\(947\) | 9.79080 | − | 21.4389i | 0.318158 | − | 0.696669i | −0.681215 | − | 0.732084i | \(-0.738548\pi\) |
0.999373 | + | 0.0354146i | \(0.0112752\pi\) | |||||||
\(948\) | −7.24339 | + | 2.12685i | −0.235254 | + | 0.0690769i | ||||
\(949\) | 7.94882 | + | 17.4055i | 0.258030 | + | 0.565006i | ||||
\(950\) | 12.8370 | + | 14.8147i | 0.416489 | + | 0.480653i | ||||
\(951\) | −1.53709 | − | 10.6907i | −0.0498437 | − | 0.346670i | ||||
\(952\) | 4.23693 | + | 1.24407i | 0.137320 | + | 0.0403207i | ||||
\(953\) | 7.26613 | − | 8.38556i | 0.235373 | − | 0.271635i | −0.625759 | − | 0.780017i | \(-0.715211\pi\) |
0.861132 | + | 0.508382i | \(0.169756\pi\) | |||||||
\(954\) | 8.92298 | + | 5.73445i | 0.288892 | + | 0.185660i | ||||
\(955\) | −71.9525 | − | 46.2410i | −2.32833 | − | 1.49632i | ||||
\(956\) | 2.37684 | − | 2.74303i | 0.0768727 | − | 0.0887158i | ||||
\(957\) | 2.32161 | + | 0.681685i | 0.0750468 | + | 0.0220357i | ||||
\(958\) | −1.98786 | − | 13.8259i | −0.0642249 | − | 0.446694i | ||||
\(959\) | −5.16265 | − | 5.95802i | −0.166711 | − | 0.192394i | ||||
\(960\) | −1.53625 | − | 3.36392i | −0.0495823 | − | 0.108570i | ||||
\(961\) | −20.6627 | + | 6.06712i | −0.666539 | + | 0.195714i | ||||
\(962\) | −16.5129 | + | 36.1583i | −0.532398 | + | 1.16579i | ||||
\(963\) | −2.08184 | + | 14.4795i | −0.0670862 | + | 0.466595i | ||||
\(964\) | −18.0341 | + | 11.5898i | −0.580841 | + | 0.373284i | ||||
\(965\) | 9.98978 | 0.321582 | ||||||||
\(966\) | 1.45067 | + | 4.57117i | 0.0466744 | + | 0.147075i | ||||
\(967\) | 47.3782 | 1.52358 | 0.761790 | − | 0.647825i | \(-0.224321\pi\) | ||||
0.761790 | + | 0.647825i | \(0.224321\pi\) | |||||||
\(968\) | −9.13484 | + | 5.87060i | −0.293605 | + | 0.188688i | ||||
\(969\) | −1.41988 | + | 9.87550i | −0.0456132 | + | 0.317247i | ||||
\(970\) | −5.54691 | + | 12.1460i | −0.178100 | + | 0.389986i | ||||
\(971\) | 27.8800 | − | 8.18631i | 0.894713 | − | 0.262711i | 0.198120 | − | 0.980178i | \(-0.436517\pi\) |
0.696593 | + | 0.717467i | \(0.254698\pi\) | |||||||
\(972\) | −0.415415 | − | 0.909632i | −0.0133244 | − | 0.0291765i | ||||
\(973\) | 5.19193 | + | 5.99181i | 0.166446 | + | 0.192089i | ||||
\(974\) | 1.37995 | + | 9.59774i | 0.0442163 | + | 0.307531i | ||||
\(975\) | 39.2305 | + | 11.5191i | 1.25638 | + | 0.368907i | ||||
\(976\) | 5.91053 | − | 6.82111i | 0.189191 | − | 0.218338i | ||||
\(977\) | −19.6346 | − | 12.6184i | −0.628167 | − | 0.403699i | 0.187463 | − | 0.982272i | \(-0.439973\pi\) |
−0.815631 | + | 0.578573i | \(0.803610\pi\) | |||||||
\(978\) | −8.64283 | − | 5.55441i | −0.276367 | − | 0.177610i | ||||
\(979\) | −1.28115 | + | 1.47852i | −0.0409456 | + | 0.0472538i | ||||
\(980\) | −3.54832 | − | 1.04188i | −0.113347 | − | 0.0332816i | ||||
\(981\) | −1.58115 | − | 10.9972i | −0.0504823 | − | 0.351112i | ||||
\(982\) | −18.2840 | − | 21.1008i | −0.583465 | − | 0.673355i | ||||
\(983\) | −15.5484 | − | 34.0462i | −0.495916 | − | 1.08590i | −0.977775 | − | 0.209656i | \(-0.932766\pi\) |
0.481859 | − | 0.876249i | \(-0.339962\pi\) | |||||||
\(984\) | 2.40243 | − | 0.705417i | 0.0765867 | − | 0.0224879i | ||||
\(985\) | 37.2687 | − | 81.6070i | 1.18748 | − | 2.60021i | ||||
\(986\) | −4.04372 | + | 28.1247i | −0.128778 | + | 0.895672i | ||||
\(987\) | −5.64042 | + | 3.62488i | −0.179536 | + | 0.115381i | ||||
\(988\) | −10.6476 | −0.338746 | ||||||||
\(989\) | −11.5670 | − | 17.1678i | −0.367809 | − | 0.545904i | ||||
\(990\) | 1.39061 | 0.0441965 | ||||||||
\(991\) | −6.89995 | + | 4.43433i | −0.219184 | + | 0.140861i | −0.645626 | − | 0.763654i | \(-0.723403\pi\) |
0.426442 | + | 0.904515i | \(0.359767\pi\) | |||||||
\(992\) | −1.03151 | + | 7.17433i | −0.0327506 | + | 0.227785i | ||||
\(993\) | −0.809782 | + | 1.77317i | −0.0256976 | + | 0.0562700i | ||||
\(994\) | −15.4503 | + | 4.53662i | −0.490054 | + | 0.143893i | ||||
\(995\) | 7.62975 | + | 16.7068i | 0.241879 | + | 0.529642i | ||||
\(996\) | −3.89993 | − | 4.50075i | −0.123574 | − | 0.142612i | ||||
\(997\) | −7.73588 | − | 53.8042i | −0.244998 | − | 1.70400i | −0.626329 | − | 0.779559i | \(-0.715443\pi\) |
0.381331 | − | 0.924438i | \(-0.375466\pi\) | |||||||
\(998\) | 10.8089 | + | 3.17379i | 0.342151 | + | 0.100465i | ||||
\(999\) | −5.52372 | + | 6.37471i | −0.174763 | + | 0.201687i |
(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 | 966.2.q.j.127.1 | ✓ | 40 | |
23.2 | even | 11 | inner | 966.2.q.j.715.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.j.127.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
966.2.q.j.715.1 | yes | 40 | 23.2 | even | 11 | inner |