Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.3 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.62295 | − | 1.80247i | −1.14760 | − | 1.27454i | −0.956099 | − | 0.293045i | \(-0.905332\pi\) |
−0.191500 | − | 0.981493i | \(-0.561335\pi\) | |||||||
\(3\) | 0.590856 | − | 1.62816i | 0.341131 | − | 0.940016i | ||||
\(4\) | −0.405869 | + | 3.86159i | −0.202934 | + | 1.93079i | ||||
\(5\) | 0.153087 | − | 0.720219i | 0.0684627 | − | 0.322092i | −0.930568 | − | 0.366120i | \(-0.880686\pi\) |
0.999030 | + | 0.0440286i | \(0.0140193\pi\) | |||||||
\(6\) | −3.89363 | + | 1.57742i | −1.58957 | + | 0.643977i | ||||
\(7\) | 1.64166 | − | 2.07484i | 0.620489 | − | 0.784215i | ||||
\(8\) | 3.69461 | − | 2.68429i | 1.30624 | − | 0.949041i | ||||
\(9\) | −2.30178 | − | 1.92401i | −0.767260 | − | 0.641336i | ||||
\(10\) | −1.54662 | + | 0.892944i | −0.489085 | + | 0.282374i | ||||
\(11\) | −3.19541 | − | 0.888474i | −0.963451 | − | 0.267885i | ||||
\(12\) | 6.04745 | + | 2.94246i | 1.74575 | + | 0.849414i | ||||
\(13\) | −3.63112 | − | 1.17982i | −1.00709 | − | 0.327224i | −0.241396 | − | 0.970427i | \(-0.577605\pi\) |
−0.765696 | + | 0.643203i | \(0.777605\pi\) | |||||||
\(14\) | −6.40416 | + | 0.408315i | −1.71158 | + | 0.109127i | ||||
\(15\) | −1.08218 | − | 0.674795i | −0.279416 | − | 0.174231i | ||||
\(16\) | −3.23851 | − | 0.688366i | −0.809627 | − | 0.172091i | ||||
\(17\) | −0.0643824 | + | 0.0715039i | −0.0156150 | + | 0.0173422i | −0.750902 | − | 0.660414i | \(-0.770381\pi\) |
0.735287 | + | 0.677756i | \(0.237048\pi\) | |||||||
\(18\) | 0.267706 | + | 7.27145i | 0.0630990 | + | 1.71390i | ||||
\(19\) | 1.79333 | − | 0.188487i | 0.411418 | − | 0.0432418i | 0.103441 | − | 0.994636i | \(-0.467015\pi\) |
0.307977 | + | 0.951394i | \(0.400348\pi\) | |||||||
\(20\) | 2.71905 | + | 0.883474i | 0.607999 | + | 0.197551i | ||||
\(21\) | −2.40817 | − | 3.89881i | −0.525506 | − | 0.850790i | ||||
\(22\) | 3.58454 | + | 7.20156i | 0.764226 | + | 1.53538i | ||||
\(23\) | 6.40766 | + | 3.69947i | 1.33609 | + | 0.771392i | 0.986225 | − | 0.165408i | \(-0.0528942\pi\) |
0.349865 | + | 0.936800i | \(0.386228\pi\) | |||||||
\(24\) | −2.18746 | − | 7.60143i | −0.446514 | − | 1.55164i | ||||
\(25\) | 4.07245 | + | 1.81317i | 0.814490 | + | 0.362634i | ||||
\(26\) | 3.76653 | + | 8.45977i | 0.738678 | + | 1.65910i | ||||
\(27\) | −4.49261 | + | 2.61084i | −0.864602 | + | 0.502457i | ||||
\(28\) | 7.34586 | + | 7.18153i | 1.38824 | + | 1.35718i | ||||
\(29\) | −5.31504 | − | 3.86160i | −0.986978 | − | 0.717081i | −0.0277204 | − | 0.999616i | \(-0.508825\pi\) |
−0.959257 | + | 0.282535i | \(0.908825\pi\) | |||||||
\(30\) | 0.540020 | + | 3.04574i | 0.0985937 | + | 0.556074i | ||||
\(31\) | −5.64411 | + | 1.19969i | −1.01371 | + | 0.215471i | −0.684677 | − | 0.728847i | \(-0.740057\pi\) |
−0.329035 | + | 0.944318i | \(0.606723\pi\) | |||||||
\(32\) | −0.551615 | − | 0.955426i | −0.0975127 | − | 0.168897i | ||||
\(33\) | −3.33460 | + | 4.67766i | −0.580479 | + | 0.814275i | ||||
\(34\) | 0.233373 | 0.0400231 | ||||||||
\(35\) | −1.24302 | − | 1.49999i | −0.210109 | − | 0.253544i | ||||
\(36\) | 8.36395 | − | 8.10762i | 1.39399 | − | 1.35127i | ||||
\(37\) | 4.43572 | − | 1.97491i | 0.729228 | − | 0.324673i | −0.00832225 | − | 0.999965i | \(-0.502649\pi\) |
0.737550 | + | 0.675292i | \(0.235982\pi\) | |||||||
\(38\) | −3.25023 | − | 2.92652i | −0.527256 | − | 0.474744i | ||||
\(39\) | −4.06640 | + | 5.21492i | −0.651145 | + | 0.835056i | ||||
\(40\) | −1.36768 | − | 3.07186i | −0.216249 | − | 0.485704i | ||||
\(41\) | 3.82980 | − | 2.78251i | 0.598114 | − | 0.434555i | −0.247095 | − | 0.968991i | \(-0.579476\pi\) |
0.845209 | + | 0.534436i | \(0.179476\pi\) | |||||||
\(42\) | −3.11913 | + | 10.6682i | −0.481293 | + | 1.64614i | ||||
\(43\) | − | 2.40724i | − | 0.367100i | −0.983010 | − | 0.183550i | \(-0.941241\pi\) | ||
0.983010 | − | 0.183550i | \(-0.0587590\pi\) | |||||||
\(44\) | 4.72783 | − | 11.9787i | 0.712747 | − | 1.80586i | ||||
\(45\) | −1.73808 | + | 1.36324i | −0.259098 | + | 0.203220i | ||||
\(46\) | −3.73114 | − | 17.5536i | −0.550127 | − | 2.58814i | ||||
\(47\) | 1.01137 | − | 0.106299i | 0.147523 | − | 0.0155053i | −0.0304791 | − | 0.999535i | \(-0.509703\pi\) |
0.178002 | + | 0.984030i | \(0.443037\pi\) | |||||||
\(48\) | −3.03426 | + | 4.86607i | −0.437957 | + | 0.702356i | ||||
\(49\) | −1.60990 | − | 6.81236i | −0.229986 | − | 0.973194i | ||||
\(50\) | −3.34120 | − | 10.2831i | −0.472516 | − | 1.45426i | ||||
\(51\) | 0.0783787 | + | 0.147073i | 0.0109752 | + | 0.0205943i | ||||
\(52\) | 6.02974 | − | 13.5430i | 0.836175 | − | 1.87808i | ||||
\(53\) | 1.42566 | + | 6.70720i | 0.195829 | + | 0.921304i | 0.960801 | + | 0.277240i | \(0.0894197\pi\) |
−0.764971 | + | 0.644064i | \(0.777247\pi\) | |||||||
\(54\) | 11.9972 | + | 3.86051i | 1.63262 | + | 0.525349i | ||||
\(55\) | −1.12907 | + | 2.16538i | −0.152244 | + | 0.291979i | ||||
\(56\) | 0.495829 | − | 12.0724i | 0.0662580 | − | 1.61324i | ||||
\(57\) | 0.752714 | − | 3.03119i | 0.0996994 | − | 0.401491i | ||||
\(58\) | 1.66563 | + | 15.8474i | 0.218707 | + | 2.08086i | ||||
\(59\) | 2.00835 | + | 0.211086i | 0.261465 | + | 0.0274811i | 0.234354 | − | 0.972151i | \(-0.424703\pi\) |
0.0271110 | + | 0.999632i | \(0.491369\pi\) | |||||||
\(60\) | 3.04500 | − | 3.90503i | 0.393108 | − | 0.504138i | ||||
\(61\) | 3.00027 | − | 14.1152i | 0.384145 | − | 1.80726i | −0.182391 | − | 0.983226i | \(-0.558384\pi\) |
0.566537 | − | 0.824036i | \(-0.308283\pi\) | |||||||
\(62\) | 11.3225 | + | 8.22629i | 1.43796 | + | 1.04474i | ||||
\(63\) | −7.77075 | + | 1.61725i | −0.979022 | + | 0.203754i | ||||
\(64\) | −2.87310 | + | 8.84250i | −0.359138 | + | 1.10531i | ||||
\(65\) | −1.40561 | + | 2.43458i | −0.174344 | + | 0.301973i | ||||
\(66\) | 13.8432 | − | 1.58110i | 1.70398 | − | 0.194620i | ||||
\(67\) | −3.89043 | − | 6.73843i | −0.475292 | − | 0.823230i | 0.524307 | − | 0.851529i | \(-0.324324\pi\) |
−0.999600 | + | 0.0282991i | \(0.990991\pi\) | |||||||
\(68\) | −0.249987 | − | 0.277639i | −0.0303154 | − | 0.0336687i | ||||
\(69\) | 9.80931 | − | 8.24682i | 1.18090 | − | 0.992800i | ||||
\(70\) | −0.686319 | + | 4.67490i | −0.0820308 | + | 0.558758i | ||||
\(71\) | 12.7476 | − | 4.14196i | 1.51287 | − | 0.491560i | 0.569127 | − | 0.822249i | \(-0.307281\pi\) |
0.943740 | + | 0.330689i | \(0.107281\pi\) | |||||||
\(72\) | −13.6688 | − | 0.929818i | −1.61088 | − | 0.109580i | ||||
\(73\) | 10.5092 | + | 1.10456i | 1.23001 | + | 0.129279i | 0.697149 | − | 0.716926i | \(-0.254451\pi\) |
0.532858 | + | 0.846205i | \(0.321118\pi\) | |||||||
\(74\) | −10.7587 | − | 4.79007i | −1.25067 | − | 0.556834i | ||||
\(75\) | 5.35835 | − | 5.55926i | 0.618729 | − | 0.641928i | ||||
\(76\) | 7.00160i | 0.803139i | ||||||||
\(77\) | −7.08921 | + | 5.17137i | −0.807890 | + | 0.589333i | ||||
\(78\) | 15.9993 | − | 1.13400i | 1.81156 | − | 0.128400i | ||||
\(79\) | −4.23261 | + | 3.81106i | −0.476206 | + | 0.428778i | −0.871959 | − | 0.489579i | \(-0.837150\pi\) |
0.395753 | + | 0.918357i | \(0.370484\pi\) | |||||||
\(80\) | −0.991548 | + | 2.22705i | −0.110858 | + | 0.248992i | ||||
\(81\) | 1.59638 | + | 8.85729i | 0.177375 | + | 0.984143i | ||||
\(82\) | −11.2310 | − | 2.38721i | −1.24025 | − | 0.263624i | ||||
\(83\) | −0.214371 | − | 0.659765i | −0.0235302 | − | 0.0724186i | 0.938602 | − | 0.345002i | \(-0.112122\pi\) |
−0.962132 | + | 0.272584i | \(0.912122\pi\) | |||||||
\(84\) | 16.0330 | − | 7.71696i | 1.74934 | − | 0.841989i | ||||
\(85\) | 0.0416423 | + | 0.0573157i | 0.00451674 | + | 0.00621676i | ||||
\(86\) | −4.33897 | + | 3.90683i | −0.467883 | + | 0.421284i | ||||
\(87\) | −9.42770 | + | 6.37206i | −1.01076 | + | 0.683156i | ||||
\(88\) | −14.1907 | + | 5.29484i | −1.51273 | + | 0.564432i | ||||
\(89\) | −9.06770 | − | 5.23524i | −0.961174 | − | 0.554934i | −0.0646398 | − | 0.997909i | \(-0.520590\pi\) |
−0.896534 | + | 0.442975i | \(0.853923\pi\) | |||||||
\(90\) | 5.27802 | + | 0.920359i | 0.556352 | + | 0.0970144i | ||||
\(91\) | −8.40901 | + | 5.59711i | −0.881503 | + | 0.586737i | ||||
\(92\) | −16.8865 | + | 23.2422i | −1.76054 | + | 2.42317i | ||||
\(93\) | −1.38157 | + | 9.89833i | −0.143262 | + | 1.02641i | ||||
\(94\) | −1.83300 | − | 1.65044i | −0.189059 | − | 0.170230i | ||||
\(95\) | 0.138784 | − | 1.32045i | 0.0142390 | − | 0.135475i | ||||
\(96\) | −1.88151 | + | 0.333597i | −0.192030 | + | 0.0340476i | ||||
\(97\) | 2.73943 | − | 8.43110i | 0.278147 | − | 0.856048i | −0.710223 | − | 0.703977i | \(-0.751406\pi\) |
0.988370 | − | 0.152071i | \(-0.0485943\pi\) | |||||||
\(98\) | −9.66627 | + | 13.9579i | −0.976441 | + | 1.40996i | ||||
\(99\) | 5.64569 | + | 8.19306i | 0.567413 | + | 0.823433i | ||||
\(100\) | −8.65459 | + | 14.9902i | −0.865459 | + | 1.49902i | ||||
\(101\) | 15.2182 | − | 3.23473i | 1.51427 | − | 0.321868i | 0.625501 | − | 0.780223i | \(-0.284895\pi\) |
0.888769 | + | 0.458355i | \(0.151561\pi\) | |||||||
\(102\) | 0.137890 | − | 0.379967i | 0.0136531 | − | 0.0376223i | ||||
\(103\) | 8.79212 | − | 3.91450i | 0.866313 | − | 0.385708i | 0.0750477 | − | 0.997180i | \(-0.476089\pi\) |
0.791266 | + | 0.611472i | \(0.209422\pi\) | |||||||
\(104\) | −16.5826 | + | 5.38800i | −1.62605 | + | 0.528337i | ||||
\(105\) | −3.17665 | + | 1.13755i | −0.310010 | + | 0.111014i | ||||
\(106\) | 9.77573 | − | 13.4551i | 0.949503 | − | 1.30688i | ||||
\(107\) | 1.03948 | + | 9.88998i | 0.100490 | + | 0.956100i | 0.922336 | + | 0.386390i | \(0.126278\pi\) |
−0.821846 | + | 0.569710i | \(0.807055\pi\) | |||||||
\(108\) | −8.25858 | − | 18.4082i | −0.794682 | − | 1.77133i | ||||
\(109\) | −5.52965 | + | 3.19254i | −0.529644 | + | 0.305790i | −0.740872 | − | 0.671647i | \(-0.765587\pi\) |
0.211227 | + | 0.977437i | \(0.432254\pi\) | |||||||
\(110\) | 5.73545 | − | 1.47918i | 0.546853 | − | 0.141035i | ||||
\(111\) | −0.594590 | − | 8.38893i | −0.0564360 | − | 0.796242i | ||||
\(112\) | −6.74478 | + | 5.58931i | −0.637322 | + | 0.528140i | ||||
\(113\) | 5.23707 | + | 7.20821i | 0.492662 | + | 0.678091i | 0.980876 | − | 0.194633i | \(-0.0623515\pi\) |
−0.488214 | + | 0.872724i | \(0.662352\pi\) | |||||||
\(114\) | −6.68524 | + | 3.56273i | −0.626130 | + | 0.333680i | ||||
\(115\) | 3.64535 | − | 4.04858i | 0.339931 | − | 0.377532i | ||||
\(116\) | 17.0691 | − | 18.9572i | 1.58483 | − | 1.76013i | ||||
\(117\) | 6.08805 | + | 9.70200i | 0.562840 | + | 0.896950i | ||||
\(118\) | −2.87897 | − | 3.96257i | −0.265031 | − | 0.364784i | ||||
\(119\) | 0.0426649 | + | 0.250968i | 0.00391108 | + | 0.0230062i | ||||
\(120\) | −5.80956 | + | 0.411770i | −0.530338 | + | 0.0375893i | ||||
\(121\) | 9.42123 | + | 5.67807i | 0.856475 | + | 0.516188i | ||||
\(122\) | −30.3114 | + | 17.5003i | −2.74427 | + | 1.58440i | ||||
\(123\) | −2.26750 | − | 7.87957i | −0.204454 | − | 0.710477i | ||||
\(124\) | −2.34195 | − | 22.2821i | −0.210313 | − | 2.00099i | ||||
\(125\) | 4.09328 | − | 5.63391i | 0.366114 | − | 0.503912i | ||||
\(126\) | 15.5266 | + | 11.3818i | 1.38322 | + | 1.01397i | ||||
\(127\) | −8.40603 | + | 2.73129i | −0.745915 | + | 0.242362i | −0.657223 | − | 0.753697i | \(-0.728269\pi\) |
−0.0886924 | + | 0.996059i | \(0.528269\pi\) | |||||||
\(128\) | 18.5855 | − | 8.27481i | 1.64274 | − | 0.731397i | ||||
\(129\) | −3.91936 | − | 1.42233i | −0.345080 | − | 0.125229i | ||||
\(130\) | 6.66949 | − | 1.41764i | 0.584953 | − | 0.124336i | ||||
\(131\) | −3.77667 | + | 6.54138i | −0.329969 | + | 0.571523i | −0.982505 | − | 0.186234i | \(-0.940372\pi\) |
0.652536 | + | 0.757757i | \(0.273705\pi\) | |||||||
\(132\) | −16.7098 | − | 14.7753i | −1.45440 | − | 1.28603i | ||||
\(133\) | 2.55296 | − | 4.03030i | 0.221370 | − | 0.349471i | ||||
\(134\) | −5.83182 | + | 17.9485i | −0.503793 | + | 1.55051i | ||||
\(135\) | 1.19262 | + | 3.63534i | 0.102644 | + | 0.312881i | ||||
\(136\) | −0.0459306 | + | 0.437000i | −0.00393851 | + | 0.0374724i | ||||
\(137\) | −5.31089 | − | 4.78195i | −0.453740 | − | 0.408549i | 0.410317 | − | 0.911943i | \(-0.365418\pi\) |
−0.864057 | + | 0.503393i | \(0.832085\pi\) | |||||||
\(138\) | −30.7846 | − | 4.29679i | −2.62056 | − | 0.365767i | ||||
\(139\) | −7.46804 | + | 10.2789i | −0.633431 | + | 0.871843i | −0.998244 | − | 0.0592376i | \(-0.981133\pi\) |
0.364813 | + | 0.931081i | \(0.381133\pi\) | |||||||
\(140\) | 6.29683 | − | 4.19123i | 0.532179 | − | 0.354223i | ||||
\(141\) | 0.424500 | − | 1.70947i | 0.0357494 | − | 0.143963i | ||||
\(142\) | −28.1545 | − | 16.2550i | −2.36268 | − | 1.36409i | ||||
\(143\) | 10.5547 | + | 6.99616i | 0.882625 | + | 0.585049i | ||||
\(144\) | 6.12991 | + | 7.81538i | 0.510826 | + | 0.651282i | ||||
\(145\) | −3.59486 | + | 3.23683i | −0.298537 | + | 0.268804i | ||||
\(146\) | −15.0649 | − | 20.7351i | −1.24678 | − | 1.71605i | ||||
\(147\) | −12.0428 | − | 1.40395i | −0.993273 | − | 0.115796i | ||||
\(148\) | 5.82596 | + | 17.9305i | 0.478891 | + | 1.47388i | ||||
\(149\) | 8.72105 | + | 1.85372i | 0.714456 | + | 0.151862i | 0.550778 | − | 0.834652i | \(-0.314331\pi\) |
0.163678 | + | 0.986514i | \(0.447664\pi\) | |||||||
\(150\) | −18.7167 | − | 0.635867i | −1.52821 | − | 0.0519183i | ||||
\(151\) | −8.80587 | + | 19.7783i | −0.716611 | + | 1.60954i | 0.0740302 | + | 0.997256i | \(0.476414\pi\) |
−0.790641 | + | 0.612279i | \(0.790253\pi\) | |||||||
\(152\) | 6.11971 | − | 5.51021i | 0.496374 | − | 0.446937i | ||||
\(153\) | 0.285768 | − | 0.0407138i | 0.0231030 | − | 0.00329152i | ||||
\(154\) | 20.8267 | + | 4.38520i | 1.67826 | + | 0.353369i | ||||
\(155\) | 4.24865i | 0.341260i | ||||||||
\(156\) | −18.4874 | − | 17.8193i | −1.48018 | − | 1.42669i | ||||
\(157\) | 15.2185 | + | 6.77572i | 1.21457 | + | 0.540762i | 0.911142 | − | 0.412093i | \(-0.135202\pi\) |
0.303428 | + | 0.952854i | \(0.401869\pi\) | |||||||
\(158\) | 13.7386 | + | 1.44399i | 1.09299 | + | 0.114878i | ||||
\(159\) | 11.7627 | + | 1.64179i | 0.932844 | + | 0.130202i | ||||
\(160\) | −0.772561 | + | 0.251020i | −0.0610763 | + | 0.0198449i | ||||
\(161\) | 18.1950 | − | 7.22159i | 1.43397 | − | 0.569141i | ||||
\(162\) | 13.3741 | − | 17.2524i | 1.05077 | − | 1.35547i | ||||
\(163\) | −3.79961 | − | 4.21990i | −0.297608 | − | 0.330528i | 0.575732 | − | 0.817639i | \(-0.304717\pi\) |
−0.873340 | + | 0.487111i | \(0.838051\pi\) | |||||||
\(164\) | 9.19051 | + | 15.9184i | 0.717658 | + | 1.24302i | ||||
\(165\) | 2.85845 | + | 3.11773i | 0.222530 | + | 0.242715i | ||||
\(166\) | −0.841293 | + | 1.45716i | −0.0652970 | + | 0.113098i | ||||
\(167\) | 3.81034 | − | 11.7270i | 0.294853 | − | 0.907463i | −0.688418 | − | 0.725314i | \(-0.741695\pi\) |
0.983271 | − | 0.182149i | \(-0.0583054\pi\) | |||||||
\(168\) | −19.3628 | − | 7.94034i | −1.49387 | − | 0.612611i | ||||
\(169\) | 1.27583 | + | 0.926942i | 0.0981404 | + | 0.0713032i | ||||
\(170\) | 0.0357264 | − | 0.168079i | 0.00274009 | − | 0.0128911i | ||||
\(171\) | −4.49050 | − | 3.01653i | −0.343397 | − | 0.230680i | ||||
\(172\) | 9.29576 | + | 0.977023i | 0.708795 | + | 0.0744973i | ||||
\(173\) | −2.29640 | − | 21.8488i | −0.174592 | − | 1.66113i | −0.634318 | − | 0.773072i | \(-0.718719\pi\) |
0.459726 | − | 0.888061i | \(-0.347947\pi\) | |||||||
\(174\) | 26.7861 | + | 6.65161i | 2.03065 | + | 0.504257i | ||||
\(175\) | 10.4476 | − | 5.47306i | 0.789765 | − | 0.413724i | ||||
\(176\) | 9.73675 | + | 5.07694i | 0.733935 | + | 0.382688i | ||||
\(177\) | 1.53032 | − | 3.14518i | 0.115026 | − | 0.236406i | ||||
\(178\) | 5.28007 | + | 24.8408i | 0.395758 | + | 1.86189i | ||||
\(179\) | −1.70773 | + | 3.83563i | −0.127642 | + | 0.286689i | −0.966050 | − | 0.258354i | \(-0.916820\pi\) |
0.838408 | + | 0.545043i | \(0.183487\pi\) | |||||||
\(180\) | −4.55885 | − | 7.26504i | −0.339796 | − | 0.541504i | ||||
\(181\) | 5.37941 | + | 16.5561i | 0.399848 | + | 1.23061i | 0.925121 | + | 0.379672i | \(0.123963\pi\) |
−0.525273 | + | 0.850934i | \(0.676037\pi\) | |||||||
\(182\) | 23.7360 | + | 6.07313i | 1.75943 | + | 0.450170i | ||||
\(183\) | −21.2090 | − | 13.2249i | −1.56781 | − | 0.977615i | ||||
\(184\) | 33.6043 | − | 3.53195i | 2.47734 | − | 0.260379i | ||||
\(185\) | −0.743315 | − | 3.49702i | −0.0546496 | − | 0.257106i | ||||
\(186\) | 20.0836 | − | 13.5743i | 1.47260 | − | 0.995313i | ||||
\(187\) | 0.269257 | − | 0.171282i | 0.0196900 | − | 0.0125254i | ||||
\(188\) | 3.94862i | 0.287983i | ||||||||
\(189\) | −1.95826 | + | 13.6075i | −0.142442 | + | 0.989803i | ||||
\(190\) | −2.60530 | + | 1.89286i | −0.189008 | + | 0.137323i | ||||
\(191\) | 2.31840 | + | 5.20721i | 0.167753 | + | 0.376780i | 0.977786 | − | 0.209604i | \(-0.0672175\pi\) |
−0.810033 | + | 0.586384i | \(0.800551\pi\) | |||||||
\(192\) | 12.6994 | + | 9.90250i | 0.916499 | + | 0.714651i | ||||
\(193\) | 11.7426 | + | 10.5730i | 0.845248 | + | 0.761065i | 0.973016 | − | 0.230739i | \(-0.0741145\pi\) |
−0.127768 | + | 0.991804i | \(0.540781\pi\) | |||||||
\(194\) | −19.6427 | + | 8.74551i | −1.41027 | + | 0.627891i | ||||
\(195\) | 3.13337 | + | 3.72704i | 0.224385 | + | 0.266899i | ||||
\(196\) | 26.9599 | − | 3.45184i | 1.92571 | − | 0.246560i | ||||
\(197\) | −3.77495 | −0.268954 | −0.134477 | − | 0.990917i | \(-0.542935\pi\) | ||||
−0.134477 | + | 0.990917i | \(0.542935\pi\) | |||||||
\(198\) | 5.60506 | − | 23.4731i | 0.398335 | − | 1.66816i | ||||
\(199\) | −10.8209 | − | 18.7423i | −0.767073 | − | 1.32861i | −0.939144 | − | 0.343524i | \(-0.888379\pi\) |
0.172071 | − | 0.985084i | \(-0.444954\pi\) | |||||||
\(200\) | 19.9132 | − | 4.23268i | 1.40808 | − | 0.299296i | ||||
\(201\) | −13.2699 | + | 2.35279i | −0.935986 | + | 0.165953i | ||||
\(202\) | −30.5289 | − | 22.1806i | −2.14801 | − | 1.56062i | ||||
\(203\) | −16.7377 | + | 4.68840i | −1.17475 | + | 0.329061i | ||||
\(204\) | −0.599746 | + | 0.242974i | −0.0419906 | + | 0.0170116i | ||||
\(205\) | −1.41772 | − | 3.18426i | −0.0990181 | − | 0.222398i | ||||
\(206\) | −21.3249 | − | 9.49447i | −1.48578 | − | 0.661511i | ||||
\(207\) | −7.63122 | − | 20.8438i | −0.530406 | − | 1.44874i | ||||
\(208\) | 10.9473 | + | 6.32040i | 0.759056 | + | 0.438241i | ||||
\(209\) | −5.89789 | − | 0.991036i | −0.407965 | − | 0.0685514i | ||||
\(210\) | 7.20595 | + | 3.87963i | 0.497258 | + | 0.267720i | ||||
\(211\) | 7.19145 | + | 2.33665i | 0.495080 | + | 0.160861i | 0.545906 | − | 0.837846i | \(-0.316185\pi\) |
−0.0508262 | + | 0.998708i | \(0.516185\pi\) | |||||||
\(212\) | −26.4790 | + | 2.78306i | −1.81859 | + | 0.191141i | ||||
\(213\) | 0.788262 | − | 23.2024i | 0.0540108 | − | 1.58981i | ||||
\(214\) | 16.1393 | − | 17.9246i | 1.10326 | − | 1.22530i | ||||
\(215\) | −1.73374 | − | 0.368517i | −0.118240 | − | 0.0251327i | ||||
\(216\) | −9.59017 | + | 21.7055i | −0.652528 | + | 1.47687i | ||||
\(217\) | −6.77655 | + | 13.6801i | −0.460022 | + | 0.928666i | ||||
\(218\) | 14.7288 | + | 4.78568i | 0.997560 | + | 0.324127i | ||||
\(219\) | 8.00781 | − | 16.4580i | 0.541117 | − | 1.11213i | ||||
\(220\) | −7.90353 | − | 5.23886i | −0.532856 | − | 0.353204i | ||||
\(221\) | 0.318142 | − | 0.183679i | 0.0214005 | − | 0.0123556i | ||||
\(222\) | −14.1558 | + | 14.6865i | −0.950074 | + | 0.985696i | ||||
\(223\) | −3.49538 | + | 2.53954i | −0.234068 | + | 0.170060i | −0.698636 | − | 0.715477i | \(-0.746209\pi\) |
0.464569 | + | 0.885537i | \(0.346209\pi\) | |||||||
\(224\) | −2.88792 | − | 0.423973i | −0.192957 | − | 0.0283279i | ||||
\(225\) | −5.88532 | − | 12.0089i | −0.392355 | − | 0.800596i | ||||
\(226\) | 4.49306 | − | 21.1382i | 0.298874 | − | 1.40609i | ||||
\(227\) | −1.96870 | + | 18.7309i | −0.130667 | + | 1.24322i | 0.710989 | + | 0.703203i | \(0.248247\pi\) |
−0.841657 | + | 0.540013i | \(0.818419\pi\) | |||||||
\(228\) | 11.3997 | + | 4.13694i | 0.754963 | + | 0.273975i | ||||
\(229\) | −1.33290 | − | 1.48034i | −0.0880808 | − | 0.0978237i | 0.697493 | − | 0.716592i | \(-0.254299\pi\) |
−0.785574 | + | 0.618768i | \(0.787632\pi\) | |||||||
\(230\) | −13.2137 | −0.871283 | ||||||||
\(231\) | 4.23110 | + | 14.5979i | 0.278386 | + | 0.960469i | ||||
\(232\) | −30.0027 | −1.96977 | ||||||||
\(233\) | 4.26413 | + | 4.73579i | 0.279352 | + | 0.310252i | 0.866450 | − | 0.499264i | \(-0.166396\pi\) |
−0.587098 | + | 0.809516i | \(0.699730\pi\) | |||||||
\(234\) | 7.60695 | − | 26.7194i | 0.497282 | − | 1.74670i | ||||
\(235\) | 0.0782688 | − | 0.744678i | 0.00510569 | − | 0.0485774i | ||||
\(236\) | −1.63025 | + | 7.66974i | −0.106120 | + | 0.499257i | ||||
\(237\) | 3.70414 | + | 9.14314i | 0.240610 | + | 0.593911i | ||||
\(238\) | 0.383119 | − | 0.484210i | 0.0248339 | − | 0.0313867i | ||||
\(239\) | 3.44721 | − | 2.50454i | 0.222981 | − | 0.162005i | −0.470686 | − | 0.882301i | \(-0.655994\pi\) |
0.693668 | + | 0.720295i | \(0.255994\pi\) | |||||||
\(240\) | 3.04013 | + | 2.93026i | 0.196239 | + | 0.189148i | ||||
\(241\) | 0.701536 | − | 0.405032i | 0.0451899 | − | 0.0260904i | −0.477235 | − | 0.878776i | \(-0.658361\pi\) |
0.522425 | + | 0.852685i | \(0.325028\pi\) | |||||||
\(242\) | −5.05565 | − | 26.1967i | −0.324989 | − | 1.68399i | ||||
\(243\) | 15.3643 | + | 2.63423i | 0.985618 | + | 0.168986i | ||||
\(244\) | 53.2892 | + | 17.3147i | 3.41149 | + | 1.10846i | ||||
\(245\) | −5.15284 | + | 0.116595i | −0.329203 | + | 0.00744896i | ||||
\(246\) | −10.5226 | + | 16.8752i | −0.670898 | + | 1.07593i | ||||
\(247\) | −6.73418 | − | 1.43139i | −0.428486 | − | 0.0910774i | ||||
\(248\) | −17.6325 | + | 19.5828i | −1.11966 | + | 1.24351i | ||||
\(249\) | −1.20086 | − | 0.0407971i | −0.0761016 | − | 0.00258541i | ||||
\(250\) | −16.7981 | + | 1.76555i | −1.06241 | + | 0.111663i | ||||
\(251\) | −18.4845 | − | 6.00598i | −1.16673 | − | 0.379094i | −0.339309 | − | 0.940675i | \(-0.610193\pi\) |
−0.827422 | + | 0.561581i | \(0.810193\pi\) | |||||||
\(252\) | −3.09123 | − | 30.6638i | −0.194729 | − | 1.93164i | ||||
\(253\) | −17.1882 | − | 17.5143i | −1.08061 | − | 1.10112i | ||||
\(254\) | 18.5656 | + | 10.7189i | 1.16491 | + | 0.672562i | ||||
\(255\) | 0.117923 | − | 0.0339348i | 0.00738465 | − | 0.00212508i | ||||
\(256\) | −28.0910 | − | 12.5069i | −1.75569 | − | 0.781681i | ||||
\(257\) | 9.13638 | + | 20.5207i | 0.569912 | + | 1.28004i | 0.936828 | + | 0.349789i | \(0.113747\pi\) |
−0.366916 | + | 0.930254i | \(0.619586\pi\) | |||||||
\(258\) | 3.79722 | + | 9.37289i | 0.236404 | + | 0.583530i | ||||
\(259\) | 3.18433 | − | 12.4455i | 0.197865 | − | 0.773328i | ||||
\(260\) | −8.83086 | − | 6.41600i | −0.547667 | − | 0.397903i | ||||
\(261\) | 4.80429 | + | 19.1147i | 0.297378 | + | 1.18317i | ||||
\(262\) | 17.9200 | − | 3.80901i | 1.10710 | − | 0.235321i | ||||
\(263\) | 6.90233 | + | 11.9552i | 0.425616 | + | 0.737188i | 0.996478 | − | 0.0838579i | \(-0.0267242\pi\) |
−0.570862 | + | 0.821046i | \(0.693391\pi\) | |||||||
\(264\) | 0.236161 | + | 26.2332i | 0.0145347 | + | 1.61454i | ||||
\(265\) | 5.04890 | 0.310151 | ||||||||
\(266\) | −11.4078 | + | 1.93934i | −0.699458 | + | 0.118909i | ||||
\(267\) | −13.8815 | + | 11.6703i | −0.849533 | + | 0.714214i | ||||
\(268\) | 27.6000 | − | 12.2883i | 1.68594 | − | 0.750629i | ||||
\(269\) | −22.8182 | − | 20.5456i | −1.39125 | − | 1.25269i | −0.931058 | − | 0.364871i | \(-0.881113\pi\) |
−0.460194 | − | 0.887818i | \(-0.652220\pi\) | |||||||
\(270\) | 4.61703 | − | 8.04963i | 0.280984 | − | 0.489885i | ||||
\(271\) | 0.715765 | + | 1.60763i | 0.0434796 | + | 0.0976568i | 0.933979 | − | 0.357327i | \(-0.116312\pi\) |
−0.890500 | + | 0.454984i | \(0.849645\pi\) | |||||||
\(272\) | 0.257724 | − | 0.187247i | 0.0156268 | − | 0.0113535i | ||||
\(273\) | 4.14446 | + | 16.9983i | 0.250834 | + | 1.02878i | ||||
\(274\) | 17.3336i | 1.04716i | ||||||||
\(275\) | −11.4022 | − | 9.41208i | −0.687577 | − | 0.567570i | ||||
\(276\) | 27.8645 | + | 41.2266i | 1.67725 | + | 2.48155i | ||||
\(277\) | 3.01930 | + | 14.2047i | 0.181412 | + | 0.853477i | 0.970858 | + | 0.239656i | \(0.0770348\pi\) |
−0.789446 | + | 0.613821i | \(0.789632\pi\) | |||||||
\(278\) | 30.6476 | − | 3.22119i | 1.83812 | − | 0.193194i | ||||
\(279\) | 15.2997 | + | 8.09789i | 0.915970 | + | 0.484808i | ||||
\(280\) | −8.61887 | − | 2.20524i | −0.515076 | − | 0.131788i | ||||
\(281\) | 3.34239 | + | 10.2868i | 0.199390 | + | 0.613660i | 0.999897 | + | 0.0143367i | \(0.00456368\pi\) |
−0.800507 | + | 0.599324i | \(0.795436\pi\) | |||||||
\(282\) | −3.77020 | + | 2.00923i | −0.224512 | + | 0.119648i | ||||
\(283\) | −5.36117 | + | 12.0414i | −0.318688 | + | 0.715785i | −0.999867 | − | 0.0163320i | \(-0.994801\pi\) |
0.681178 | + | 0.732117i | \(0.261468\pi\) | |||||||
\(284\) | 10.8207 | + | 50.9072i | 0.642088 | + | 3.02079i | ||||
\(285\) | −2.06789 | − | 1.00616i | −0.122491 | − | 0.0595995i | ||||
\(286\) | −4.51931 | − | 30.3789i | −0.267233 | − | 1.79634i | ||||
\(287\) | 0.513972 | − | 12.5141i | 0.0303388 | − | 0.738687i | ||||
\(288\) | −0.568551 | + | 3.26049i | −0.0335022 | + | 0.192126i | ||||
\(289\) | 1.77602 | + | 16.8977i | 0.104472 | + | 0.993980i | ||||
\(290\) | 11.6686 | + | 1.22641i | 0.685201 | + | 0.0720175i | ||||
\(291\) | −12.1085 | − | 9.44178i | −0.709815 | − | 0.553487i | ||||
\(292\) | −8.53071 | + | 40.1338i | −0.499222 | + | 2.34865i | ||||
\(293\) | 3.02331 | + | 2.19656i | 0.176624 | + | 0.128325i | 0.672585 | − | 0.740020i | \(-0.265184\pi\) |
−0.495961 | + | 0.868345i | \(0.665184\pi\) | |||||||
\(294\) | 17.0143 | + | 23.9853i | 0.992292 | + | 1.39885i | ||||
\(295\) | 0.459481 | − | 1.41414i | 0.0267520 | − | 0.0823342i | ||||
\(296\) | 11.0870 | − | 19.2033i | 0.644421 | − | 1.11617i | ||||
\(297\) | 16.6754 | − | 4.35114i | 0.967602 | − | 0.252479i | ||||
\(298\) | −10.8126 | − | 18.7279i | −0.626354 | − | 1.08488i | ||||
\(299\) | −18.9023 | − | 20.9931i | −1.09315 | − | 1.21406i | ||||
\(300\) | 19.2928 | + | 22.9481i | 1.11387 | + | 1.32491i | ||||
\(301\) | −4.99463 | − | 3.95187i | −0.287886 | − | 0.227782i | ||||
\(302\) | 49.9412 | − | 16.2269i | 2.87380 | − | 0.933753i | ||||
\(303\) | 3.72512 | − | 26.6889i | 0.214003 | − | 1.53324i | ||||
\(304\) | −5.93746 | − | 0.624053i | −0.340537 | − | 0.0357919i | ||||
\(305\) | −9.70671 | − | 4.32170i | −0.555804 | − | 0.247460i | ||||
\(306\) | −0.537173 | − | 0.449011i | −0.0307081 | − | 0.0256683i | ||||
\(307\) | 21.5960i | 1.23255i | 0.787531 | + | 0.616275i | \(0.211359\pi\) | ||||
−0.787531 | + | 0.616275i | \(0.788641\pi\) | |||||||
\(308\) | −17.0924 | − | 29.4745i | −0.973930 | − | 1.67946i | ||||
\(309\) | −1.17855 | − | 16.6278i | −0.0670452 | − | 0.945925i | ||||
\(310\) | 7.65806 | − | 6.89535i | 0.434948 | − | 0.391629i | ||||
\(311\) | −2.19459 | + | 4.92913i | −0.124444 | + | 0.279505i | −0.965015 | − | 0.262196i | \(-0.915553\pi\) |
0.840571 | + | 0.541702i | \(0.182220\pi\) | |||||||
\(312\) | −1.02540 | + | 30.1825i | −0.0580517 | + | 1.70875i | ||||
\(313\) | 19.5918 | + | 4.16437i | 1.10740 | + | 0.235384i | 0.725092 | − | 0.688653i | \(-0.241797\pi\) |
0.382304 | + | 0.924037i | \(0.375131\pi\) | |||||||
\(314\) | −12.4859 | − | 38.4276i | −0.704618 | − | 2.16859i | ||||
\(315\) | −0.0248306 | + | 5.84422i | −0.00139904 | + | 0.329284i | ||||
\(316\) | −12.9989 | − | 17.8914i | −0.731243 | − | 1.00647i | ||||
\(317\) | −11.1317 | + | 10.0231i | −0.625220 | + | 0.562951i | −0.919658 | − | 0.392720i | \(-0.871534\pi\) |
0.294438 | + | 0.955671i | \(0.404868\pi\) | |||||||
\(318\) | −16.1310 | − | 23.8665i | −0.904583 | − | 1.33836i | ||||
\(319\) | 13.5528 | + | 17.0616i | 0.758809 | + | 0.955269i | ||||
\(320\) | 5.92870 | + | 3.42294i | 0.331424 | + | 0.191348i | ||||
\(321\) | 16.7166 | + | 4.15111i | 0.933029 | + | 0.231693i | ||||
\(322\) | −42.5462 | − | 21.0756i | −2.37101 | − | 1.17450i | ||||
\(323\) | −0.101981 | + | 0.140365i | −0.00567440 | + | 0.00781014i | ||||
\(324\) | −34.8511 | + | 2.56965i | −1.93617 | + | 0.142758i | ||||
\(325\) | −12.6483 | − | 11.3886i | −0.701603 | − | 0.631726i | ||||
\(326\) | −1.43965 | + | 13.6974i | −0.0797348 | + | 0.758626i | ||||
\(327\) | 1.93073 | + | 10.8895i | 0.106770 | + | 0.602189i | ||||
\(328\) | 6.68054 | − | 20.5606i | 0.368871 | − | 1.13527i | ||||
\(329\) | 1.43977 | − | 2.27293i | 0.0793769 | − | 0.125310i | ||||
\(330\) | 0.980482 | − | 10.2122i | 0.0539737 | − | 0.562162i | ||||
\(331\) | −13.0821 | + | 22.6589i | −0.719058 | + | 1.24544i | 0.242316 | + | 0.970197i | \(0.422093\pi\) |
−0.961374 | + | 0.275247i | \(0.911240\pi\) | |||||||
\(332\) | 2.63475 | − | 0.560033i | 0.144600 | − | 0.0307358i | ||||
\(333\) | −14.0098 | − | 3.98856i | −0.767732 | − | 0.218572i | ||||
\(334\) | −27.3215 | + | 12.1643i | −1.49497 | + | 0.665603i | ||||
\(335\) | −5.44872 | + | 1.77040i | −0.297695 | + | 0.0967270i | ||||
\(336\) | 5.11508 | + | 14.2840i | 0.279050 | + | 0.779257i | ||||
\(337\) | −4.84883 | + | 6.67385i | −0.264133 | + | 0.363548i | −0.920398 | − | 0.390983i | \(-0.872135\pi\) |
0.656265 | + | 0.754530i | \(0.272135\pi\) | |||||||
\(338\) | −0.399818 | − | 3.80401i | −0.0217472 | − | 0.206911i | ||||
\(339\) | 14.8304 | − | 4.26775i | 0.805478 | − | 0.231792i | ||||
\(340\) | −0.238231 | + | 0.137543i | −0.0129199 | + | 0.00745930i | ||||
\(341\) | 19.1011 | + | 1.18114i | 1.03438 | + | 0.0639622i | ||||
\(342\) | 1.85066 | + | 12.9897i | 0.100072 | + | 0.702401i | ||||
\(343\) | −16.7774 | − | 7.84330i | −0.905897 | − | 0.423499i | ||||
\(344\) | −6.46173 | − | 8.89381i | −0.348393 | − | 0.479522i | ||||
\(345\) | −4.43783 | − | 8.32733i | −0.238925 | − | 0.448328i | ||||
\(346\) | −35.6548 | + | 39.5987i | −1.91681 | + | 2.12884i | ||||
\(347\) | −5.08355 | + | 5.64586i | −0.272899 | + | 0.303085i | −0.863979 | − | 0.503528i | \(-0.832035\pi\) |
0.591080 | + | 0.806613i | \(0.298702\pi\) | |||||||
\(348\) | −20.7798 | − | 38.9921i | −1.11392 | − | 2.09020i | ||||
\(349\) | −16.8771 | − | 23.2293i | −0.903409 | − | 1.24344i | −0.969368 | − | 0.245613i | \(-0.921011\pi\) |
0.0659589 | − | 0.997822i | \(-0.478989\pi\) | |||||||
\(350\) | −26.8210 | − | 9.94899i | −1.43364 | − | 0.531796i | ||||
\(351\) | 19.3935 | − | 4.17981i | 1.03515 | − | 0.223102i | ||||
\(352\) | 0.913764 | + | 3.54307i | 0.0487038 | + | 0.188846i | ||||
\(353\) | 27.7124 | − | 15.9998i | 1.47498 | − | 0.851581i | 0.475379 | − | 0.879781i | \(-0.342311\pi\) |
0.999602 | + | 0.0282003i | \(0.00897762\pi\) | |||||||
\(354\) | −8.15273 | + | 2.34611i | −0.433313 | + | 0.124694i | ||||
\(355\) | −1.03162 | − | 9.81517i | −0.0547525 | − | 0.520935i | ||||
\(356\) | 23.8966 | − | 32.8909i | 1.26652 | − | 1.74321i | ||||
\(357\) | 0.433824 | + | 0.0788208i | 0.0229604 | + | 0.00417164i | ||||
\(358\) | 9.68517 | − | 3.14690i | 0.511877 | − | 0.166319i | ||||
\(359\) | 4.76922 | − | 2.12339i | 0.251710 | − | 0.112068i | −0.277003 | − | 0.960869i | \(-0.589341\pi\) |
0.528713 | + | 0.848800i | \(0.322675\pi\) | |||||||
\(360\) | −2.76219 | + | 9.70217i | −0.145580 | + | 0.511349i | ||||
\(361\) | −15.4043 | + | 3.27428i | −0.810752 | + | 0.172331i | ||||
\(362\) | 21.1114 | − | 36.5659i | 1.10959 | − | 1.92186i | ||||
\(363\) | 14.8114 | − | 11.9843i | 0.777395 | − | 0.629013i | ||||
\(364\) | −18.2008 | − | 34.7438i | −0.953980 | − | 1.82107i | ||||
\(365\) | 2.40435 | − | 7.39982i | 0.125849 | − | 0.387324i | ||||
\(366\) | 10.5835 | + | 59.6919i | 0.553211 | + | 3.12014i | ||||
\(367\) | −0.162134 | + | 1.54260i | −0.00846334 | + | 0.0805233i | −0.997938 | − | 0.0641811i | \(-0.979556\pi\) |
0.989475 | + | 0.144704i | \(0.0462231\pi\) | |||||||
\(368\) | −18.2047 | − | 16.3916i | −0.948984 | − | 0.854469i | ||||
\(369\) | −14.1689 | − | 0.963840i | −0.737605 | − | 0.0501755i | ||||
\(370\) | −5.09691 | + | 7.01529i | −0.264976 | + | 0.364708i | ||||
\(371\) | 16.2568 | + | 8.05293i | 0.844010 | + | 0.418087i | ||||
\(372\) | −37.6625 | − | 9.35247i | −1.95271 | − | 0.484903i | ||||
\(373\) | −8.82157 | − | 5.09314i | −0.456764 | − | 0.263713i | 0.253919 | − | 0.967226i | \(-0.418280\pi\) |
−0.710682 | + | 0.703513i | \(0.751614\pi\) | |||||||
\(374\) | −0.745720 | − | 0.207346i | −0.0385603 | − | 0.0107216i | ||||
\(375\) | −6.75435 | − | 9.99332i | −0.348793 | − | 0.516053i | ||||
\(376\) | 3.45127 | − | 3.10753i | 0.177986 | − | 0.160259i | ||||
\(377\) | 14.7435 | + | 20.2927i | 0.759330 | + | 1.04513i | ||||
\(378\) | 27.7053 | − | 18.5547i | 1.42501 | − | 0.954348i | ||||
\(379\) | −2.15668 | − | 6.63759i | −0.110781 | − | 0.340950i | 0.880262 | − | 0.474487i | \(-0.157366\pi\) |
−0.991044 | + | 0.133537i | \(0.957366\pi\) | |||||||
\(380\) | 5.04268 | + | 1.07186i | 0.258684 | + | 0.0549850i | ||||
\(381\) | −0.519794 | + | 15.3001i | −0.0266299 | + | 0.783849i | ||||
\(382\) | 5.62318 | − | 12.6299i | 0.287707 | − | 0.646200i | ||||
\(383\) | 5.44332 | − | 4.90118i | 0.278140 | − | 0.250439i | −0.518239 | − | 0.855236i | \(-0.673412\pi\) |
0.796380 | + | 0.604797i | \(0.206746\pi\) | |||||||
\(384\) | −2.49131 | − | 35.1493i | −0.127134 | − | 1.79371i | ||||
\(385\) | 2.63925 | + | 5.89745i | 0.134509 | + | 0.300562i | ||||
\(386\) | − | 38.3251i | − | 1.95070i | ||||||
\(387\) | −4.63155 | + | 5.54093i | −0.235435 | + | 0.281661i | ||||
\(388\) | 31.4456 | + | 14.0005i | 1.59641 | + | 0.710766i | ||||
\(389\) | −12.2097 | − | 1.28329i | −0.619056 | − | 0.0650654i | −0.210191 | − | 0.977660i | \(-0.567409\pi\) |
−0.408865 | + | 0.912595i | \(0.634075\pi\) | |||||||
\(390\) | 1.63256 | − | 11.6966i | 0.0826679 | − | 0.592280i | ||||
\(391\) | −0.677066 | + | 0.219992i | −0.0342407 | + | 0.0111255i | ||||
\(392\) | −24.2343 | − | 20.8476i | −1.22402 | − | 1.05296i | ||||
\(393\) | 8.41892 | + | 10.0140i | 0.424678 | + | 0.505140i | ||||
\(394\) | 6.12656 | + | 6.80423i | 0.308652 | + | 0.342792i | ||||
\(395\) | 2.09684 | + | 3.63183i | 0.105503 | + | 0.182737i | ||||
\(396\) | −33.9296 | + | 18.4760i | −1.70503 | + | 0.928453i | ||||
\(397\) | 16.4343 | − | 28.4651i | 0.824815 | − | 1.42862i | −0.0772465 | − | 0.997012i | \(-0.524613\pi\) |
0.902061 | − | 0.431609i | \(-0.142054\pi\) | |||||||
\(398\) | −16.2207 | + | 49.9222i | −0.813070 | + | 2.50237i | ||||
\(399\) | −5.05352 | − | 6.53795i | −0.252993 | − | 0.327307i | ||||
\(400\) | −11.9405 | − | 8.67530i | −0.597026 | − | 0.433765i | ||||
\(401\) | 1.38534 | − | 6.51751i | 0.0691806 | − | 0.325469i | −0.929925 | − | 0.367749i | \(-0.880129\pi\) |
0.999106 | + | 0.0422795i | \(0.0134620\pi\) | |||||||
\(402\) | 25.7772 | + | 20.1001i | 1.28565 | + | 1.00250i | ||||
\(403\) | 21.9099 | + | 2.30282i | 1.09141 | + | 0.114712i | ||||
\(404\) | 6.31459 | + | 60.0794i | 0.314163 | + | 2.98906i | ||||
\(405\) | 6.62357 | + | 0.206197i | 0.329128 | + | 0.0102460i | ||||
\(406\) | 35.6151 | + | 22.5601i | 1.76755 | + | 1.11964i | ||||
\(407\) | −15.9286 | + | 2.36962i | −0.789551 | + | 0.117458i | ||||
\(408\) | 0.684366 | + | 0.332986i | 0.0338812 | + | 0.0164853i | ||||
\(409\) | 3.40704 | + | 16.0289i | 0.168467 | + | 0.792577i | 0.978509 | + | 0.206204i | \(0.0661112\pi\) |
−0.810042 | + | 0.586372i | \(0.800556\pi\) | |||||||
\(410\) | −3.43863 | + | 7.72329i | −0.169822 | + | 0.381426i | ||||
\(411\) | −10.9237 | + | 5.82152i | −0.538828 | + | 0.287154i | ||||
\(412\) | 11.5477 | + | 35.5403i | 0.568917 | + | 1.75095i | ||||
\(413\) | 3.73500 | − | 3.82047i | 0.183787 | − | 0.187993i | ||||
\(414\) | −25.1851 | + | 47.5834i | −1.23778 | + | 2.33860i | ||||
\(415\) | −0.507993 | + | 0.0533922i | −0.0249364 | + | 0.00262092i | ||||
\(416\) | 0.875748 | + | 4.12007i | 0.0429371 | + | 0.202003i | ||||
\(417\) | 12.3231 | + | 18.2325i | 0.603464 | + | 0.892848i | ||||
\(418\) | 7.78566 | + | 12.2392i | 0.380809 | + | 0.598636i | ||||
\(419\) | 9.95009i | 0.486094i | 0.970015 | + | 0.243047i | \(0.0781469\pi\) | ||||
−0.970015 | + | 0.243047i | \(0.921853\pi\) | |||||||
\(420\) | −3.10345 | − | 12.7286i | −0.151433 | − | 0.621093i | ||||
\(421\) | 26.5162 | − | 19.2651i | 1.29232 | − | 0.938924i | 0.292469 | − | 0.956275i | \(-0.405523\pi\) |
0.999849 | + | 0.0173510i | \(0.00552327\pi\) | |||||||
\(422\) | −7.45964 | − | 16.7546i | −0.363130 | − | 0.815602i | ||||
\(423\) | −2.53246 | − | 1.70120i | −0.123132 | − | 0.0827152i | ||||
\(424\) | 23.2713 | + | 20.9536i | 1.13016 | + | 1.01760i | ||||
\(425\) | −0.391843 | + | 0.174460i | −0.0190072 | + | 0.00846253i | ||||
\(426\) | −43.1010 | + | 36.2356i | −2.08825 | + | 1.75562i | ||||
\(427\) | −24.3613 | − | 29.3974i | −1.17892 | − | 1.42264i | ||||
\(428\) | −38.6129 | −1.86642 | ||||||||
\(429\) | 17.6271 | − | 13.0509i | 0.851045 | − | 0.630103i | ||||
\(430\) | 2.14953 | + | 3.72309i | 0.103659 | + | 0.179543i | ||||
\(431\) | 0.635074 | − | 0.134989i | 0.0305904 | − | 0.00650220i | −0.192591 | − | 0.981279i | \(-0.561689\pi\) |
0.223181 | + | 0.974777i | \(0.428356\pi\) | |||||||
\(432\) | 16.3465 | − | 5.36268i | 0.786474 | − | 0.258012i | ||||
\(433\) | −21.8563 | − | 15.8795i | −1.05035 | − | 0.763120i | −0.0780672 | − | 0.996948i | \(-0.524875\pi\) |
−0.972278 | + | 0.233828i | \(0.924875\pi\) | |||||||
\(434\) | 35.6559 | − | 9.98760i | 1.71154 | − | 0.479420i | ||||
\(435\) | 3.14601 | + | 7.76549i | 0.150840 | + | 0.372327i | ||||
\(436\) | −10.0840 | − | 22.6490i | −0.482935 | − | 1.08469i | ||||
\(437\) | 12.1884 | + | 5.42661i | 0.583048 | + | 0.259590i | ||||
\(438\) | −42.6612 | + | 12.2766i | −2.03843 | + | 0.586599i | ||||
\(439\) | −2.40654 | − | 1.38942i | −0.114858 | − | 0.0663134i | 0.441470 | − | 0.897276i | \(-0.354457\pi\) |
−0.556328 | + | 0.830962i | \(0.687790\pi\) | |||||||
\(440\) | 1.64103 | + | 11.0310i | 0.0782328 | + | 0.525881i | ||||
\(441\) | −9.40141 | + | 18.7780i | −0.447686 | + | 0.894191i | ||||
\(442\) | −0.847404 | − | 0.275338i | −0.0403069 | − | 0.0130965i | ||||
\(443\) | 15.7520 | − | 1.65561i | 0.748402 | − | 0.0786602i | 0.277354 | − | 0.960768i | \(-0.410543\pi\) |
0.471048 | + | 0.882108i | \(0.343876\pi\) | |||||||
\(444\) | 32.6359 | + | 1.10875i | 1.54883 | + | 0.0526188i | ||||
\(445\) | −5.15866 | + | 5.72928i | −0.244544 | + | 0.271594i | ||||
\(446\) | 10.2503 | + | 2.17876i | 0.485364 | + | 0.103167i | ||||
\(447\) | 8.17102 | − | 13.1039i | 0.386476 | − | 0.619795i | ||||
\(448\) | 13.6301 | + | 20.4776i | 0.643961 | + | 0.967476i | ||||
\(449\) | −16.6981 | − | 5.42553i | −0.788031 | − | 0.256047i | −0.112765 | − | 0.993622i | \(-0.535971\pi\) |
−0.675265 | + | 0.737575i | \(0.735971\pi\) | |||||||
\(450\) | −12.0942 | + | 30.0980i | −0.570124 | + | 1.41883i | ||||
\(451\) | −14.7099 | + | 5.48858i | −0.692664 | + | 0.258447i | ||||
\(452\) | −29.9607 | + | 17.2978i | −1.40923 | + | 0.813620i | ||||
\(453\) | 26.9992 | + | 26.0234i | 1.26853 | + | 1.22269i | ||||
\(454\) | 36.9570 | − | 26.8508i | 1.73448 | − | 1.26017i | ||||
\(455\) | 2.74383 | + | 6.91317i | 0.128633 | + | 0.324094i | ||||
\(456\) | −5.35561 | − | 13.2196i | −0.250800 | − | 0.619063i | ||||
\(457\) | −1.79372 | + | 8.43880i | −0.0839068 | + | 0.394750i | −0.999980 | − | 0.00625973i | \(-0.998007\pi\) |
0.916074 | + | 0.401010i | \(0.131341\pi\) | |||||||
\(458\) | −0.505030 | + | 4.80504i | −0.0235985 | + | 0.224525i | ||||
\(459\) | 0.102559 | − | 0.489331i | 0.00478705 | − | 0.0228400i | ||||
\(460\) | 14.1544 | + | 15.7200i | 0.659952 | + | 0.732951i | ||||
\(461\) | 29.4382 | 1.37107 | 0.685537 | − | 0.728037i | \(-0.259567\pi\) | ||||
0.685537 | + | 0.728037i | \(0.259567\pi\) | |||||||
\(462\) | 19.4453 | − | 31.3180i | 0.904679 | − | 1.45705i | ||||
\(463\) | 18.2143 | 0.846488 | 0.423244 | − | 0.906016i | \(-0.360891\pi\) | ||||
0.423244 | + | 0.906016i | \(0.360891\pi\) | |||||||
\(464\) | 14.5546 | + | 16.1645i | 0.675680 | + | 0.750419i | ||||
\(465\) | 6.91746 | + | 2.51034i | 0.320790 | + | 0.116414i | ||||
\(466\) | 1.61565 | − | 15.3719i | 0.0748436 | − | 0.712089i | ||||
\(467\) | −2.99983 | + | 14.1131i | −0.138815 | + | 0.653075i | 0.852626 | + | 0.522522i | \(0.175009\pi\) |
−0.991441 | + | 0.130553i | \(0.958325\pi\) | |||||||
\(468\) | −39.9360 | + | 19.5718i | −1.84604 | + | 0.904705i | ||||
\(469\) | −20.3679 | − | 2.99020i | −0.940503 | − | 0.138074i | ||||
\(470\) | −1.46928 | + | 1.06750i | −0.0677730 | + | 0.0492400i | ||||
\(471\) | 20.0239 | − | 20.7746i | 0.922652 | − | 0.957245i | ||||
\(472\) | 7.98669 | − | 4.61111i | 0.367617 | − | 0.212244i | ||||
\(473\) | −2.13877 | + | 7.69210i | −0.0983406 | + | 0.353683i | ||||
\(474\) | 10.4686 | − | 21.5154i | 0.480838 | − | 0.988237i | ||||
\(475\) | 7.64501 | + | 2.48401i | 0.350777 | + | 0.113974i | ||||
\(476\) | −0.986451 | + | 0.0628939i | −0.0452139 | + | 0.00288274i | ||||
\(477\) | 9.62316 | − | 18.1815i | 0.440614 | − | 0.832472i | ||||
\(478\) | −10.1090 | − | 2.14873i | −0.462375 | − | 0.0982808i | ||||
\(479\) | −4.14349 | + | 4.60181i | −0.189321 | + | 0.210262i | −0.830331 | − | 0.557270i | \(-0.811849\pi\) |
0.641010 | + | 0.767532i | \(0.278516\pi\) | |||||||
\(480\) | −0.0477719 | + | 1.40617i | −0.00218048 | + | 0.0641824i | ||||
\(481\) | −18.4367 | + | 1.93777i | −0.840640 | + | 0.0883548i | ||||
\(482\) | −1.86862 | − | 0.607150i | −0.0851131 | − | 0.0276549i | ||||
\(483\) | −1.00725 | − | 33.8912i | −0.0458316 | − | 1.54210i | ||||
\(484\) | −25.7501 | + | 34.0763i | −1.17046 | + | 1.54892i | ||||
\(485\) | −5.65286 | − | 3.26368i | −0.256683 | − | 0.148196i | ||||
\(486\) | −20.1873 | − | 31.9688i | −0.915715 | − | 1.45014i | ||||
\(487\) | −7.24161 | − | 3.22417i | −0.328149 | − | 0.146101i | 0.236049 | − | 0.971741i | \(-0.424148\pi\) |
−0.564197 | + | 0.825640i | \(0.690814\pi\) | |||||||
\(488\) | −26.8044 | − | 60.2037i | −1.21338 | − | 2.72529i | ||||
\(489\) | −9.11567 | + | 3.69301i | −0.412225 | + | 0.167004i | ||||
\(490\) | 8.57296 | + | 9.09861i | 0.387287 | + | 0.411033i | ||||
\(491\) | −4.81364 | − | 3.49732i | −0.217237 | − | 0.157832i | 0.473845 | − | 0.880608i | \(-0.342866\pi\) |
−0.691082 | + | 0.722776i | \(0.742866\pi\) | |||||||
\(492\) | 31.3479 | − | 5.55808i | 1.41327 | − | 0.250578i | ||||
\(493\) | 0.618314 | − | 0.131427i | 0.0278475 | − | 0.00591916i | ||||
\(494\) | 8.34919 | + | 14.4612i | 0.375648 | + | 0.650641i | ||||
\(495\) | 6.76508 | − | 2.81188i | 0.304068 | − | 0.126384i | ||||
\(496\) | 19.1043 | 0.857809 | ||||||||
\(497\) | 12.3334 | − | 33.2490i | 0.553229 | − | 1.49142i | ||||
\(498\) | 1.87540 | + | 2.23073i | 0.0840388 | + | 0.0999613i | ||||
\(499\) | 15.9475 | − | 7.10028i | 0.713907 | − | 0.317852i | −0.0174487 | − | 0.999848i | \(-0.505554\pi\) |
0.731356 | + | 0.681996i | \(0.238888\pi\) | |||||||
\(500\) | 20.0945 | + | 18.0932i | 0.898653 | + | 0.809151i | ||||
\(501\) | −16.8420 | − | 13.1328i | −0.752446 | − | 0.586730i | ||||
\(502\) | 19.1738 | + | 43.0651i | 0.855769 | + | 1.92209i | ||||
\(503\) | 7.65693 | − | 5.56309i | 0.341406 | − | 0.248046i | −0.403849 | − | 0.914826i | \(-0.632328\pi\) |
0.745255 | + | 0.666780i | \(0.232328\pi\) | |||||||
\(504\) | −24.3687 | + | 26.8341i | −1.08547 | + | 1.19528i | ||||
\(505\) | − | 11.4556i | − | 0.509770i | ||||||
\(506\) | −3.67344 | + | 59.4060i | −0.163304 | + | 2.64092i | ||||
\(507\) | 2.26303 | − | 1.52955i | 0.100505 | − | 0.0679299i | ||||
\(508\) | −7.13535 | − | 33.5692i | −0.316580 | − | 1.48939i | ||||
\(509\) | 9.26620 | − | 0.973917i | 0.410717 | − | 0.0431681i | 0.103083 | − | 0.994673i | \(-0.467129\pi\) |
0.307634 | + | 0.951505i | \(0.400463\pi\) | |||||||
\(510\) | −0.252550 | − | 0.157479i | −0.0111831 | − | 0.00697328i | ||||
\(511\) | 19.5443 | − | 19.9915i | 0.864589 | − | 0.884374i | ||||
\(512\) | 10.4734 | + | 32.2338i | 0.462863 | + | 1.42455i | ||||
\(513\) | −7.56462 | + | 5.52890i | −0.333986 | + | 0.244107i | ||||
\(514\) | 22.1599 | − | 49.7720i | 0.977433 | − | 2.19535i | ||||
\(515\) | −1.47334 | − | 6.93151i | −0.0649230 | − | 0.305439i | ||||
\(516\) | 7.08319 | − | 14.5577i | 0.311820 | − | 0.640865i | ||||
\(517\) | −3.32617 | − | 0.558904i | −0.146285 | − | 0.0245806i | ||||
\(518\) | −27.6007 | + | 14.4588i | −1.21270 | + | 0.635284i | ||||
\(519\) | −36.9301 | − | 9.17058i | −1.62105 | − | 0.402544i | ||||
\(520\) | 1.34196 | + | 12.7679i | 0.0588489 | + | 0.559910i | ||||
\(521\) | −38.3813 | − | 4.03404i | −1.68152 | − | 0.176734i | −0.784924 | − | 0.619593i | \(-0.787298\pi\) |
−0.896592 | + | 0.442858i | \(0.853965\pi\) | |||||||
\(522\) | 26.6566 | − | 39.6818i | 1.16673 | − | 1.73683i | ||||
\(523\) | −6.94922 | + | 32.6935i | −0.303868 | + | 1.42959i | 0.515781 | + | 0.856721i | \(0.327502\pi\) |
−0.819649 | + | 0.572866i | \(0.805831\pi\) | |||||||
\(524\) | −23.7273 | − | 17.2389i | −1.03653 | − | 0.753083i | ||||
\(525\) | −2.73795 | − | 20.2441i | −0.119494 | − | 0.883526i | ||||
\(526\) | 10.3467 | − | 31.8439i | 0.451138 | − | 1.38846i | ||||
\(527\) | 0.277599 | − | 0.480815i | 0.0120924 | − | 0.0209446i | ||||
\(528\) | 14.0191 | − | 12.8532i | 0.610101 | − | 0.559364i | ||||
\(529\) | 15.8721 | + | 27.4913i | 0.690091 | + | 1.19527i | ||||
\(530\) | −8.19411 | − | 9.10048i | −0.355929 | − | 0.395299i | ||||
\(531\) | −4.21664 | − | 4.34995i | −0.182987 | − | 0.188772i | ||||
\(532\) | 14.5272 | + | 11.4943i | 0.629833 | + | 0.498339i | ||||
\(533\) | −17.1893 | + | 5.58515i | −0.744552 | + | 0.241920i | ||||
\(534\) | 43.5644 | + | 6.08053i | 1.88521 | + | 0.263130i | ||||
\(535\) | 7.28208 | + | 0.765377i | 0.314832 | + | 0.0330901i | ||||
\(536\) | −32.4615 | − | 14.4528i | −1.40213 | − | 0.624266i | ||||
\(537\) | 5.23598 | + | 5.04676i | 0.225949 | + | 0.217784i | ||||
\(538\) | 74.4737i | 3.21079i | ||||||||
\(539\) | −0.908320 | + | 23.1986i | −0.0391241 | + | 0.999234i | ||||
\(540\) | −14.5222 | + | 3.12992i | −0.624938 | + | 0.134690i | ||||
\(541\) | 19.0716 | − | 17.1721i | 0.819951 | − | 0.738287i | −0.148118 | − | 0.988970i | \(-0.547322\pi\) |
0.968069 | + | 0.250682i | \(0.0806550\pi\) | |||||||
\(542\) | 1.73606 | − | 3.89925i | 0.0745701 | − | 0.167487i | ||||
\(543\) | 30.1344 | + | 1.02376i | 1.29319 | + | 0.0439338i | ||||
\(544\) | 0.103831 | + | 0.0220699i | 0.00445171 | + | 0.000946241i | ||||
\(545\) | 1.45281 | + | 4.47129i | 0.0622316 | + | 0.191529i | ||||
\(546\) | 23.9126 | − | 35.0576i | 1.02336 | − | 1.50033i | ||||
\(547\) | 2.86906 | + | 3.94892i | 0.122672 | + | 0.168844i | 0.865936 | − | 0.500154i | \(-0.166723\pi\) |
−0.743264 | + | 0.668998i | \(0.766723\pi\) | |||||||
\(548\) | 20.6214 | − | 18.5676i | 0.880904 | − | 0.793169i | ||||
\(549\) | −34.0637 | + | 26.7175i | −1.45380 | + | 1.14027i | ||||
\(550\) | 1.54017 | + | 35.8274i | 0.0656732 | + | 1.52768i | ||||
\(551\) | −10.2595 | − | 5.92331i | −0.437069 | − | 0.252342i | ||||
\(552\) | 14.1047 | − | 56.7998i | 0.600336 | − | 2.41756i | ||||
\(553\) | 0.958818 | + | 15.0385i | 0.0407731 | + | 0.639500i | ||||
\(554\) | 20.7033 | − | 28.4957i | 0.879600 | − | 1.21067i | ||||
\(555\) | −6.13289 | − | 0.856003i | −0.260327 | − | 0.0363353i | ||||
\(556\) | −36.6617 | − | 33.0104i | −1.55480 | − | 1.39995i | ||||
\(557\) | 3.97244 | − | 37.7952i | 0.168318 | − | 1.60144i | −0.505693 | − | 0.862714i | \(-0.668763\pi\) |
0.674011 | − | 0.738722i | \(-0.264570\pi\) | |||||||
\(558\) | −10.2345 | − | 40.7197i | −0.433260 | − | 1.72380i | ||||
\(559\) | −2.84011 | + | 8.74097i | −0.120124 | + | 0.369704i | ||||
\(560\) | 2.99299 | + | 5.71337i | 0.126477 | + | 0.241434i | ||||
\(561\) | −0.119781 | − | 0.539595i | −0.00505717 | − | 0.0227817i | ||||
\(562\) | 13.1171 | − | 22.7195i | 0.553313 | − | 0.958366i | ||||
\(563\) | −4.24109 | + | 0.901472i | −0.178741 | + | 0.0379925i | −0.296412 | − | 0.955060i | \(-0.595790\pi\) |
0.117672 | + | 0.993053i | \(0.462457\pi\) | |||||||
\(564\) | 6.42896 | + | 2.33306i | 0.270708 | + | 0.0982397i | ||||
\(565\) | 5.99321 | − | 2.66835i | 0.252136 | − | 0.112258i | ||||
\(566\) | 30.4051 | − | 9.87921i | 1.27802 | − | 0.415254i | ||||
\(567\) | 20.9981 | + | 11.2284i | 0.881839 | + | 0.471550i | ||||
\(568\) | 35.9794 | − | 49.5213i | 1.50966 | − | 2.07787i | ||||
\(569\) | −3.79834 | − | 36.1388i | −0.159235 | − | 1.51502i | −0.724020 | − | 0.689779i | \(-0.757708\pi\) |
0.564785 | − | 0.825238i | \(-0.308959\pi\) | |||||||
\(570\) | 1.54252 | + | 5.36024i | 0.0646089 | + | 0.224516i | ||||
\(571\) | 14.8815 | − | 8.59185i | 0.622772 | − | 0.359558i | −0.155175 | − | 0.987887i | \(-0.549594\pi\) |
0.777947 | + | 0.628329i | \(0.216261\pi\) | |||||||
\(572\) | −31.3001 | + | 37.9182i | −1.30872 | + | 1.58544i | ||||
\(573\) | 9.84798 | − | 0.698004i | 0.411405 | − | 0.0291595i | ||||
\(574\) | −23.3905 | + | 19.3834i | −0.976301 | + | 0.809048i | ||||
\(575\) | 19.3871 | + | 26.6841i | 0.808498 | + | 1.11280i | ||||
\(576\) | 23.6263 | − | 14.8256i | 0.984429 | − | 0.617734i | ||||
\(577\) | −0.735212 | + | 0.816535i | −0.0306073 | + | 0.0339928i | −0.758254 | − | 0.651959i | \(-0.773947\pi\) |
0.727647 | + | 0.685952i | \(0.240614\pi\) | |||||||
\(578\) | 27.5751 | − | 30.6253i | 1.14697 | − | 1.27384i | ||||
\(579\) | 24.1527 | − | 12.8716i | 1.00375 | − | 0.534924i | ||||
\(580\) | −11.0402 | − | 15.1956i | −0.458421 | − | 0.630962i | ||||
\(581\) | −1.72083 | − | 0.638326i | −0.0713920 | − | 0.0264822i | ||||
\(582\) | 2.63303 | + | 37.1488i | 0.109143 | + | 1.53987i | ||||
\(583\) | 1.40361 | − | 22.6989i | 0.0581316 | − | 0.940091i | ||||
\(584\) | 41.7923 | − | 24.1288i | 1.72938 | − | 0.998457i | ||||
\(585\) | 7.91956 | − | 2.89947i | 0.327434 | − | 0.119878i | ||||
\(586\) | −0.947445 | − | 9.01433i | −0.0391386 | − | 0.372379i | ||||
\(587\) | −11.6168 | + | 15.9891i | −0.479476 | + | 0.659943i | −0.978404 | − | 0.206701i | \(-0.933727\pi\) |
0.498928 | + | 0.866644i | \(0.333727\pi\) | |||||||
\(588\) | 10.3093 | − | 45.9345i | 0.425148 | − | 1.89431i | ||||
\(589\) | −9.89563 | + | 3.21529i | −0.407742 | + | 0.132484i | ||||
\(590\) | −3.29465 | + | 1.46687i | −0.135639 | + | 0.0603902i | ||||
\(591\) | −2.23045 | + | 6.14621i | −0.0917485 | + | 0.252821i | ||||
\(592\) | −15.7246 | + | 3.34236i | −0.646276 | + | 0.137370i | ||||
\(593\) | −16.6676 | + | 28.8692i | −0.684457 | + | 1.18552i | 0.289150 | + | 0.957284i | \(0.406628\pi\) |
−0.973607 | + | 0.228231i | \(0.926706\pi\) | |||||||
\(594\) | −34.9061 | − | 22.9951i | −1.43221 | − | 0.943501i | ||||
\(595\) | 0.187283 | + | 0.00769196i | 0.00767787 | + | 0.000315340i | ||||
\(596\) | −10.6979 | + | 32.9247i | −0.438202 | + | 1.34865i | ||||
\(597\) | −36.9090 | + | 6.54408i | −1.51059 | + | 0.267831i | ||||
\(598\) | −7.16196 | + | 68.1415i | −0.292874 | + | 2.78651i | ||||
\(599\) | 3.82745 | + | 3.44625i | 0.156385 | + | 0.140810i | 0.743609 | − | 0.668615i | \(-0.233112\pi\) |
−0.587224 | + | 0.809425i | \(0.699779\pi\) | |||||||
\(600\) | 4.87436 | − | 34.9227i | 0.198995 | − | 1.42571i | ||||
\(601\) | −0.808750 | + | 1.11315i | −0.0329896 | + | 0.0454063i | −0.825193 | − | 0.564851i | \(-0.808934\pi\) |
0.792204 | + | 0.610257i | \(0.208934\pi\) | |||||||
\(602\) | 0.982911 | + | 15.4163i | 0.0400605 | + | 0.628323i | ||||
\(603\) | −4.00988 | + | 22.9956i | −0.163295 | + | 0.936453i | ||||
\(604\) | −72.8016 | − | 42.0320i | −2.96225 | − | 1.71026i | ||||
\(605\) | 5.53172 | − | 5.91611i | 0.224896 | − | 0.240524i | ||||
\(606\) | −54.1516 | + | 36.6003i | −2.19976 | + | 1.48679i | ||||
\(607\) | 26.8184 | − | 24.1474i | 1.08852 | − | 0.980112i | 0.0886515 | − | 0.996063i | \(-0.471744\pi\) |
0.999873 | + | 0.0159510i | \(0.00507759\pi\) | |||||||
\(608\) | −1.16931 | − | 1.60942i | −0.0474219 | − | 0.0652707i | ||||
\(609\) | −2.25611 | + | 30.0217i | −0.0914222 | + | 1.21654i | ||||
\(610\) | 7.96376 | + | 24.5099i | 0.322443 | + | 0.992378i | ||||
\(611\) | −3.79780 | − | 0.807248i | −0.153643 | − | 0.0326578i | ||||
\(612\) | 0.0412356 | + | 1.12004i | 0.00166685 | + | 0.0452750i | ||||
\(613\) | 6.33688 | − | 14.2329i | 0.255944 | − | 0.574860i | −0.739178 | − | 0.673510i | \(-0.764786\pi\) |
0.995122 | + | 0.0986500i | \(0.0314524\pi\) | |||||||
\(614\) | 38.9262 | − | 35.0493i | 1.57093 | − | 1.41447i | ||||
\(615\) | −6.02214 | + | 0.426837i | −0.242836 | + | 0.0172117i | ||||
\(616\) | −12.3104 | + | 38.1357i | −0.496000 | + | 1.53653i | ||||
\(617\) | 19.6703i | 0.791896i | 0.918273 | + | 0.395948i | \(0.129584\pi\) | ||||
−0.918273 | + | 0.395948i | \(0.870416\pi\) | |||||||
\(618\) | −28.0584 | + | 29.1104i | −1.12868 | + | 1.17099i | ||||
\(619\) | 9.66731 | + | 4.30416i | 0.388562 | + | 0.172999i | 0.591713 | − | 0.806148i | \(-0.298452\pi\) |
−0.203151 | + | 0.979147i | \(0.565118\pi\) | |||||||
\(620\) | −16.4065 | − | 1.72440i | −0.658902 | − | 0.0692534i | ||||
\(621\) | −38.4458 | + | 0.109160i | −1.54278 | + | 0.00438046i | ||||
\(622\) | 12.4463 | − | 4.04405i | 0.499052 | − | 0.162152i | ||||
\(623\) | −25.7483 | + | 10.2195i | −1.03159 | + | 0.409436i | ||||
\(624\) | 16.7588 | − | 14.0894i | 0.670891 | − | 0.564027i | ||||
\(625\) | 11.4834 | + | 12.7536i | 0.459336 | + | 0.510144i | ||||
\(626\) | −24.2904 | − | 42.0722i | −0.970839 | − | 1.68154i | ||||
\(627\) | −5.09836 | + | 9.01711i | −0.203609 | + | 0.360109i | ||||
\(628\) | −32.3418 | + | 56.0176i | −1.29058 | + | 2.23534i | ||||
\(629\) | −0.144369 | + | 0.444321i | −0.00575635 | + | 0.0177162i | ||||
\(630\) | 10.5743 | − | 9.44011i | 0.421291 | − | 0.376103i | ||||
\(631\) | 10.7854 | + | 7.83603i | 0.429359 | + | 0.311948i | 0.781393 | − | 0.624040i | \(-0.214510\pi\) |
−0.352034 | + | 0.935987i | \(0.614510\pi\) | |||||||
\(632\) | −5.40786 | + | 25.4420i | −0.215113 | + | 1.01203i | ||||
\(633\) | 8.05353 | − | 10.3282i | 0.320099 | − | 0.410508i | ||||
\(634\) | 36.1325 | + | 3.79768i | 1.43500 | + | 0.150825i | ||||
\(635\) | 0.680267 | + | 6.47231i | 0.0269956 | + | 0.256846i | ||||
\(636\) | −11.1140 | + | 44.7564i | −0.440700 | + | 1.77471i | ||||
\(637\) | −2.19163 | + | 26.6359i | −0.0868357 | + | 1.05535i | ||||
\(638\) | 8.75762 | − | 52.1186i | 0.346717 | − | 2.06340i | ||||
\(639\) | −37.3114 | − | 14.9927i | −1.47602 | − | 0.593102i | ||||
\(640\) | −3.11447 | − | 14.6524i | −0.123110 | − | 0.579187i | ||||
\(641\) | −2.27553 | + | 5.11093i | −0.0898781 | + | 0.201869i | −0.952891 | − | 0.303312i | \(-0.901908\pi\) |
0.863013 | + | 0.505181i | \(0.168574\pi\) | |||||||
\(642\) | −19.6479 | − | 36.8682i | −0.775442 | − | 1.45507i | ||||
\(643\) | −5.22615 | − | 16.0844i | −0.206099 | − | 0.634308i | −0.999666 | − | 0.0258255i | \(-0.991779\pi\) |
0.793567 | − | 0.608482i | \(-0.208221\pi\) | |||||||
\(644\) | 20.5020 | + | 73.1925i | 0.807892 | + | 2.88419i | ||||
\(645\) | −1.62439 | + | 2.60505i | −0.0639604 | + | 0.102574i | ||||
\(646\) | 0.418515 | − | 0.0439877i | 0.0164662 | − | 0.00173067i | ||||
\(647\) | −2.03657 | − | 9.58129i | −0.0800657 | − | 0.376679i | 0.919811 | − | 0.392361i | \(-0.128342\pi\) |
−0.999877 | + | 0.0156814i | \(0.995008\pi\) | |||||||
\(648\) | 29.6735 | + | 28.4391i | 1.16569 | + | 1.11719i | ||||
\(649\) | −6.22994 | − | 2.45887i | −0.244547 | − | 0.0965191i | ||||
\(650\) | 41.2813i | 1.61919i | ||||||||
\(651\) | 18.2694 | + | 19.1162i | 0.716033 | + | 0.749224i | ||||
\(652\) | 17.8376 | − | 12.9598i | 0.698575 | − | 0.507545i | ||||
\(653\) | −14.0109 | − | 31.4689i | −0.548287 | − | 1.23147i | −0.949002 | − | 0.315270i | \(-0.897905\pi\) |
0.400715 | − | 0.916203i | \(-0.368762\pi\) | |||||||
\(654\) | 16.4944 | − | 21.1531i | 0.644983 | − | 0.827153i | ||||
\(655\) | 4.13306 | + | 3.72143i | 0.161492 | + | 0.145408i | ||||
\(656\) | −14.3182 | + | 6.37488i | −0.559032 | + | 0.248897i | ||||
\(657\) | −22.0646 | − | 22.7622i | −0.860824 | − | 0.888039i | ||||
\(658\) | −6.43355 | + | 1.09371i | −0.250806 | + | 0.0426373i | ||||
\(659\) | −17.1271 | −0.667176 | −0.333588 | − | 0.942719i | \(-0.608259\pi\) | ||||
−0.333588 | + | 0.942719i | \(0.608259\pi\) | |||||||
\(660\) | −13.1995 | + | 9.77276i | −0.513791 | + | 0.380404i | ||||
\(661\) | −21.1053 | − | 36.5555i | −0.820901 | − | 1.42184i | −0.905012 | − | 0.425386i | \(-0.860138\pi\) |
0.0841110 | − | 0.996456i | \(-0.473195\pi\) | |||||||
\(662\) | 62.0735 | − | 13.1941i | 2.41256 | − | 0.512804i | ||||
\(663\) | −0.111083 | − | 0.626512i | −0.00431409 | − | 0.0243317i | ||||
\(664\) | −2.56302 | − | 1.86214i | −0.0994645 | − | 0.0722652i | ||||
\(665\) | −2.51187 | − | 2.45568i | −0.0974062 | − | 0.0952271i | ||||
\(666\) | 15.5479 | + | 31.7254i | 0.602471 | + | 1.22934i | ||||
\(667\) | −19.7711 | − | 44.4066i | −0.765540 | − | 1.71943i | ||||
\(668\) | 43.7383 | + | 19.4736i | 1.69229 | + | 0.753455i | ||||
\(669\) | 2.06950 | + | 7.19152i | 0.0800116 | + | 0.278040i | ||||
\(670\) | 12.0341 | + | 6.94787i | 0.464917 | + | 0.268420i | ||||
\(671\) | −22.1280 | + | 42.4380i | −0.854244 | + | 1.63830i | ||||
\(672\) | −2.39664 | + | 4.45147i | −0.0924523 | + | 0.171719i | ||||
\(673\) | −21.6943 | − | 7.04890i | −0.836254 | − | 0.271715i | −0.140576 | − | 0.990070i | \(-0.544896\pi\) |
−0.695677 | + | 0.718355i | \(0.744896\pi\) | |||||||
\(674\) | 19.8988 | − | 2.09145i | 0.766473 | − | 0.0805596i | ||||
\(675\) | −23.0298 | + | 2.48666i | −0.886418 | + | 0.0957116i | ||||
\(676\) | −4.09728 | + | 4.55049i | −0.157588 | + | 0.175019i | ||||
\(677\) | −29.0264 | − | 6.16975i | −1.11557 | − | 0.237123i | −0.386994 | − | 0.922082i | \(-0.626486\pi\) |
−0.728581 | + | 0.684960i | \(0.759820\pi\) | |||||||
\(678\) | −31.7615 | − | 19.8050i | −1.21979 | − | 0.760608i | ||||
\(679\) | −12.9959 | − | 19.5249i | −0.498738 | − | 0.749296i | ||||
\(680\) | 0.307704 | + | 0.0999792i | 0.0117999 | + | 0.00383403i | ||||
\(681\) | 29.3337 | + | 14.2726i | 1.12407 | + | 0.546928i | ||||
\(682\) | −28.8712 | − | 36.3461i | −1.10553 | − | 1.39176i | ||||
\(683\) | 16.3123 | − | 9.41790i | 0.624172 | − | 0.360366i | −0.154320 | − | 0.988021i | \(-0.549319\pi\) |
0.778491 | + | 0.627655i | \(0.215985\pi\) | |||||||
\(684\) | 13.4711 | − | 16.1161i | 0.515082 | − | 0.616216i | ||||
\(685\) | −4.25708 | + | 3.09295i | −0.162655 | + | 0.118175i | ||||
\(686\) | 13.0916 | + | 42.9701i | 0.499841 | + | 1.64061i | ||||
\(687\) | −3.19778 | + | 1.29551i | −0.122003 | + | 0.0494267i | ||||
\(688\) | −1.65706 | + | 7.79586i | −0.0631749 | + | 0.297214i | ||||
\(689\) | 2.73656 | − | 26.0367i | 0.104255 | − | 0.991918i | ||||
\(690\) | −7.80736 | + | 21.5139i | −0.297221 | + | 0.819020i | ||||
\(691\) | 29.6257 | + | 32.9027i | 1.12701 | + | 1.25168i | 0.964245 | + | 0.265013i | \(0.0853762\pi\) |
0.162770 | + | 0.986664i | \(0.447957\pi\) | |||||||
\(692\) | 85.3030 | 3.24273 | ||||||||
\(693\) | 26.2676 | + | 1.73634i | 0.997822 | + | 0.0659583i | ||||
\(694\) | 18.4268 | 0.699473 | ||||||||
\(695\) | 6.25978 | + | 6.95219i | 0.237447 | + | 0.263712i | ||||
\(696\) | −17.7272 | + | 48.8490i | −0.671949 | + | 1.85162i | ||||
\(697\) | −0.0476112 | + | 0.452990i | −0.00180340 | + | 0.0171582i | ||||
\(698\) | −14.4794 | + | 68.1204i | −0.548054 | + | 2.57839i | ||||
\(699\) | 10.2301 | − | 4.14449i | 0.386937 | − | 0.156759i | ||||
\(700\) | 16.8943 | + | 42.5657i | 0.638545 | + | 1.60883i | ||||
\(701\) | −25.4909 | + | 18.5202i | −0.962776 | + | 0.699498i | −0.953794 | − | 0.300462i | \(-0.902859\pi\) |
−0.00898248 | + | 0.999960i | \(0.502859\pi\) | |||||||
\(702\) | −39.0087 | − | 28.1726i | −1.47229 | − | 1.06331i | ||||
\(703\) | 7.58247 | − | 4.37774i | 0.285978 | − | 0.165110i | ||||
\(704\) | 17.0371 | − | 25.7027i | 0.642108 | − | 0.968707i | ||||
\(705\) | −1.16621 | − | 0.567431i | −0.0439218 | − | 0.0213707i | ||||
\(706\) | −73.8148 | − | 23.9839i | −2.77806 | − | 0.902646i | ||||
\(707\) | 18.2716 | − | 36.8857i | 0.687175 | − | 1.38723i | ||||
\(708\) | 11.5243 | + | 7.18601i | 0.433109 | + | 0.270067i | ||||
\(709\) | 19.4743 | + | 4.13940i | 0.731374 | + | 0.155458i | 0.558522 | − | 0.829489i | \(-0.311368\pi\) |
0.172852 | + | 0.984948i | \(0.444702\pi\) | |||||||
\(710\) | −16.0173 | + | 17.7890i | −0.601118 | + | 0.667609i | ||||
\(711\) | 17.0751 | − | 0.628637i | 0.640365 | − | 0.0235757i | ||||
\(712\) | −47.5545 | + | 4.99818i | −1.78218 | + | 0.187315i | ||||
\(713\) | −40.6038 | − | 13.1930i | −1.52062 | − | 0.494080i | ||||
\(714\) | −0.562002 | − | 0.909876i | −0.0210324 | − | 0.0340512i | ||||
\(715\) | 6.65455 | − | 6.53064i | 0.248866 | − | 0.244232i | ||||
\(716\) | −14.1185 | − | 8.15132i | −0.527633 | − | 0.304629i | ||||
\(717\) | −2.04098 | − | 7.09241i | −0.0762219 | − | 0.264871i | ||||
\(718\) | −11.5676 | − | 5.15021i | −0.431697 | − | 0.192204i | ||||
\(719\) | 5.42973 | + | 12.1954i | 0.202495 | + | 0.454811i | 0.986037 | − | 0.166528i | \(-0.0532557\pi\) |
−0.783542 | + | 0.621339i | \(0.786589\pi\) | |||||||
\(720\) | 6.56720 | − | 3.21844i | 0.244745 | − | 0.119944i | ||||
\(721\) | 6.31172 | − | 24.6685i | 0.235061 | − | 0.918703i | ||||
\(722\) | 30.9022 | + | 22.4518i | 1.15006 | + | 0.835568i | ||||
\(723\) | −0.244949 | − | 1.38153i | −0.00910974 | − | 0.0513795i | ||||
\(724\) | −66.1162 | + | 14.0534i | −2.45719 | + | 0.522291i | ||||
\(725\) | −14.6435 | − | 25.3632i | −0.543845 | − | 0.941967i | ||||
\(726\) | −45.6394 | − | 7.24708i | −1.69384 | − | 0.268964i | ||||
\(727\) | −1.39514 | −0.0517427 | −0.0258713 | − | 0.999665i | \(-0.508236\pi\) | ||||
−0.0258713 | + | 0.999665i | \(0.508236\pi\) | |||||||
\(728\) | −16.0437 | + | 43.2514i | −0.594620 | + | 1.60300i | ||||
\(729\) | 13.3670 | − | 23.4590i | 0.495074 | − | 0.868851i | ||||
\(730\) | −17.2401 | + | 7.67577i | −0.638084 | + | 0.284093i | ||||
\(731\) | 0.172127 | + | 0.154984i | 0.00636634 | + | 0.00573228i | ||||
\(732\) | 59.6773 | − | 76.5326i | 2.20574 | − | 2.82873i | ||||
\(733\) | −3.35274 | − | 7.53039i | −0.123836 | − | 0.278141i | 0.840980 | − | 0.541067i | \(-0.181979\pi\) |
−0.964816 | + | 0.262925i | \(0.915313\pi\) | |||||||
\(734\) | 3.04363 | − | 2.21133i | 0.112342 | − | 0.0816215i | ||||
\(735\) | −2.85475 | + | 8.45852i | −0.105299 | + | 0.311997i | ||||
\(736\) | − | 8.16273i | − | 0.300882i | ||||||
\(737\) | 6.44459 | + | 24.9886i | 0.237390 | + | 0.920465i | ||||
\(738\) | 21.2582 | + | 27.1033i | 0.782524 | + | 0.997686i | ||||
\(739\) | −2.31095 | − | 10.8722i | −0.0850096 | − | 0.399939i | 0.914984 | − | 0.403490i | \(-0.132203\pi\) |
−0.999994 | + | 0.00355114i | \(0.998870\pi\) | |||||||
\(740\) | 13.8057 | − | 1.45104i | 0.507509 | − | 0.0533414i | ||||
\(741\) | −6.30946 | + | 10.1185i | −0.231784 | + | 0.371714i | ||||
\(742\) | −11.8688 | − | 42.3718i | −0.435717 | − | 1.55552i | ||||
\(743\) | 11.8890 | + | 36.5906i | 0.436165 | + | 1.34238i | 0.891888 | + | 0.452257i | \(0.149381\pi\) |
−0.455723 | + | 0.890122i | \(0.650619\pi\) | |||||||
\(744\) | 21.4657 | + | 40.2790i | 0.786969 | + | 1.47670i | ||||
\(745\) | 2.67016 | − | 5.99728i | 0.0978271 | − | 0.219723i | ||||
\(746\) | 5.13675 | + | 24.1665i | 0.188070 | + | 0.884799i | ||||
\(747\) | −0.775960 | + | 1.93109i | −0.0283909 | + | 0.0706547i | ||||
\(748\) | 0.552136 | + | 1.10928i | 0.0201881 | + | 0.0405592i | ||||
\(749\) | 22.2266 | + | 14.0792i | 0.812141 | + | 0.514444i | ||||
\(750\) | −7.05067 | + | 28.3931i | −0.257454 | + | 1.03677i | ||||
\(751\) | 1.75824 | + | 16.7285i | 0.0641590 | + | 0.610432i | 0.978608 | + | 0.205732i | \(0.0659575\pi\) |
−0.914449 | + | 0.404700i | \(0.867376\pi\) | |||||||
\(752\) | −3.34849 | − | 0.351940i | −0.122107 | − | 0.0128339i | ||||
\(753\) | −20.7003 | + | 26.5470i | −0.754362 | + | 0.967425i | ||||
\(754\) | 12.6490 | − | 59.5088i | 0.460649 | − | 2.16718i | ||||
\(755\) | 12.8966 | + | 9.36995i | 0.469357 | + | 0.341008i | ||||
\(756\) | −51.7519 | − | 13.0849i | −1.88220 | − | 0.475892i | ||||
\(757\) | −9.89534 | + | 30.4547i | −0.359652 | + | 1.10690i | 0.593610 | + | 0.804753i | \(0.297702\pi\) |
−0.953262 | + | 0.302143i | \(0.902298\pi\) | |||||||
\(758\) | −8.46386 | + | 14.6598i | −0.307421 | + | 0.532469i | ||||
\(759\) | −38.6718 | + | 17.6366i | −1.40370 | + | 0.640169i | ||||
\(760\) | −3.03171 | − | 5.25107i | −0.109972 | − | 0.190476i | ||||
\(761\) | −25.6701 | − | 28.5096i | −0.930542 | − | 1.03347i | −0.999357 | − | 0.0358423i | \(-0.988589\pi\) |
0.0688154 | − | 0.997629i | \(-0.478078\pi\) | |||||||
\(762\) | 28.4216 | − | 23.8944i | 1.02961 | − | 0.865603i | ||||
\(763\) | −2.45380 | + | 16.7142i | −0.0888335 | + | 0.605095i | ||||
\(764\) | −21.0490 | + | 6.83924i | −0.761527 | + | 0.247435i | ||||
\(765\) | 0.0144246 | − | 0.212048i | 0.000521521 | − | 0.00766662i | ||||
\(766\) | −17.6685 | − | 1.85703i | −0.638387 | − | 0.0670972i | ||||
\(767\) | −7.04351 | − | 3.13597i | −0.254326 | − | 0.113233i | ||||
\(768\) | −36.9609 | + | 38.3467i | −1.33371 | + | 1.38372i | ||||
\(769\) | 6.52238i | 0.235203i | 0.993061 | + | 0.117602i | \(0.0375206\pi\) | ||||
−0.993061 | + | 0.117602i | \(0.962479\pi\) | |||||||
\(770\) | 6.34660 | − | 14.3284i | 0.228715 | − | 0.516361i | ||||
\(771\) | 38.8091 | − | 2.75071i | 1.39768 | − | 0.0990644i | ||||
\(772\) | −45.5947 | + | 41.0536i | −1.64099 | + | 1.47755i | ||||
\(773\) | −9.61022 | + | 21.5849i | −0.345656 | + | 0.776355i | 0.654145 | + | 0.756369i | \(0.273029\pi\) |
−0.999800 | + | 0.0199856i | \(0.993638\pi\) | |||||||
\(774\) | 17.5041 | − | 0.644433i | 0.629173 | − | 0.0231637i | ||||
\(775\) | −25.1606 | − | 5.34805i | −0.903795 | − | 0.192108i | ||||
\(776\) | −12.5104 | − | 38.5031i | −0.449097 | − | 1.38218i | ||||
\(777\) | −18.3818 | − | 12.5381i | −0.659443 | − | 0.449802i | ||||
\(778\) | 17.5026 | + | 24.0903i | 0.627500 | + | 0.863679i | ||||
\(779\) | 6.34363 | − | 5.71183i | 0.227284 | − | 0.204648i | ||||
\(780\) | −15.6640 | + | 10.5871i | −0.560861 | + | 0.379078i | ||||
\(781\) | −44.4139 | + | 1.90930i | −1.58925 | + | 0.0683201i | ||||
\(782\) | 1.49537 | + | 0.863354i | 0.0534744 | + | 0.0308735i | ||||
\(783\) | 33.9604 | + | 3.47192i | 1.21365 | + | 0.124076i | ||||
\(784\) | 0.524275 | + | 23.1701i | 0.0187241 | + | 0.827503i | ||||
\(785\) | 7.20976 | − | 9.92339i | 0.257327 | − | 0.354181i | ||||
\(786\) | 4.38646 | − | 31.4271i | 0.156460 | − | 1.12097i | ||||
\(787\) | 28.0680 | + | 25.2725i | 1.00051 | + | 0.900868i | 0.995076 | − | 0.0991175i | \(-0.0316020\pi\) |
0.00543920 | + | 0.999985i | \(0.498269\pi\) | |||||||
\(788\) | 1.53214 | − | 14.5773i | 0.0545801 | − | 0.519295i | ||||
\(789\) | 23.5432 | − | 4.17428i | 0.838159 | − | 0.148608i | ||||
\(790\) | 3.14320 | − | 9.67376i | 0.111830 | − | 0.344177i | ||||
\(791\) | 23.5533 | + | 0.967365i | 0.837460 | + | 0.0343956i | ||||
\(792\) | 42.8512 | + | 15.1155i | 1.52265 | + | 0.537106i | ||||
\(793\) | −27.5477 | + | 47.7141i | −0.978249 | + | 1.69438i | ||||
\(794\) | −77.9794 | + | 16.5750i | −2.76739 | + | 0.588226i | ||||
\(795\) | 2.98317 | − | 8.22039i | 0.105802 | − | 0.291547i | ||||
\(796\) | 76.7670 | − | 34.1789i | 2.72093 | − | 1.21144i | ||||
\(797\) | 19.5725 | − | 6.35949i | 0.693293 | − | 0.225265i | 0.0588873 | − | 0.998265i | \(-0.481245\pi\) |
0.634406 | + | 0.773000i | \(0.281245\pi\) | |||||||
\(798\) | −3.58282 | + | 19.7196i | −0.126831 | + | 0.698065i | ||||
\(799\) | −0.0575134 | + | 0.0791603i | −0.00203468 | + | 0.00280049i | ||||
\(800\) | −0.514075 | − | 4.89109i | −0.0181753 | − | 0.172926i | ||||
\(801\) | 10.7992 | + | 29.4967i | 0.381571 | + | 1.04221i | ||||
\(802\) | −13.9959 | + | 8.08056i | −0.494214 | + | 0.285335i | ||||
\(803\) | −32.5997 | − | 12.8667i | −1.15042 | − | 0.454054i | ||||
\(804\) | −3.69967 | − | 52.1977i | −0.130477 | − | 1.84087i | ||||
\(805\) | −2.41570 | − | 14.2099i | −0.0851423 | − | 0.500833i | ||||
\(806\) | −31.4078 | − | 43.2292i | −1.10629 | − | 1.52268i | ||||
\(807\) | −46.9338 | + | 25.0121i | −1.65215 | + | 0.880469i | ||||
\(808\) | 47.5425 | − | 52.8013i | 1.67254 | − | 1.85754i | ||||
\(809\) | −11.3711 | + | 12.6288i | −0.399785 | + | 0.444006i | −0.909103 | − | 0.416572i | \(-0.863231\pi\) |
0.509318 | + | 0.860579i | \(0.329898\pi\) | |||||||
\(810\) | −10.3781 | − | 12.2734i | −0.364648 | − | 0.431244i | ||||
\(811\) | 2.77230 | + | 3.81575i | 0.0973488 | + | 0.133989i | 0.854913 | − | 0.518772i | \(-0.173611\pi\) |
−0.757564 | + | 0.652761i | \(0.773611\pi\) | |||||||
\(812\) | −11.3113 | − | 66.5368i | −0.396950 | − | 2.33499i | ||||
\(813\) | 3.04039 | − | 0.215497i | 0.106631 | − | 0.00755780i | ||||
\(814\) | 30.1224 | + | 24.8650i | 1.05579 | + | 0.871518i | ||||
\(815\) | −3.62092 | + | 2.09054i | −0.126835 | + | 0.0732284i | ||||
\(816\) | −0.152590 | − | 0.530250i | −0.00534172 | − | 0.0185625i | ||||
\(817\) | −0.453732 | − | 4.31698i | −0.0158741 | − | 0.151032i | ||||
\(818\) | 23.3621 | − | 32.1551i | 0.816836 | − | 1.12428i | ||||
\(819\) | 30.1246 | + | 3.29568i | 1.05264 | + | 0.115160i | ||||
\(820\) | 12.8717 | − | 4.18227i | 0.449499 | − | 0.146051i | ||||
\(821\) | −12.0934 | + | 5.38431i | −0.422061 | + | 0.187914i | −0.606766 | − | 0.794880i | \(-0.707534\pi\) |
0.184705 | + | 0.982794i | \(0.440867\pi\) | |||||||
\(822\) | 28.2218 | + | 10.2416i | 0.984347 | + | 0.357218i | ||||
\(823\) | 37.1788 | − | 7.90260i | 1.29597 | − | 0.275467i | 0.492240 | − | 0.870460i | \(-0.336178\pi\) |
0.803731 | + | 0.594992i | \(0.202845\pi\) | |||||||
\(824\) | 21.9758 | − | 38.0632i | 0.765563 | − | 1.32599i | ||||
\(825\) | −22.0614 | + | 13.0033i | −0.768078 | + | 0.452718i | ||||
\(826\) | −12.9480 | − | 0.531790i | −0.450518 | − | 0.0185033i | ||||
\(827\) | 9.19801 | − | 28.3086i | 0.319846 | − | 0.984385i | −0.653867 | − | 0.756609i | \(-0.726855\pi\) |
0.973714 | − | 0.227776i | \(-0.0731454\pi\) | |||||||
\(828\) | 83.5872 | − | 21.0088i | 2.90486 | − | 0.730105i | ||||
\(829\) | 3.90557 | − | 37.1590i | 0.135646 | − | 1.29058i | −0.688928 | − | 0.724830i | \(-0.741918\pi\) |
0.824574 | − | 0.565754i | \(-0.191415\pi\) | |||||||
\(830\) | 0.920684 | + | 0.828988i | 0.0319574 | + | 0.0287746i | ||||
\(831\) | 24.9114 | + | 3.47703i | 0.864167 | + | 0.120617i | ||||
\(832\) | 20.8652 | − | 28.7184i | 0.723369 | − | 0.995632i | ||||
\(833\) | 0.590759 | + | 0.323482i | 0.0204686 | + | 0.0112080i | ||||
\(834\) | 12.8637 | − | 51.8023i | 0.445434 | − | 1.79377i | ||||
\(835\) | −7.86270 | − | 4.53953i | −0.272100 | − | 0.157097i | ||||
\(836\) | 6.22074 | − | 22.3730i | 0.215149 | − | 0.773785i | ||||
\(837\) | 22.2245 | − | 20.1256i | 0.768193 | − | 0.695643i | ||||
\(838\) | 17.9347 | − | 16.1485i | 0.619544 | − | 0.557840i | ||||
\(839\) | 0.789803 | + | 1.08707i | 0.0272670 | + | 0.0375298i | 0.822433 | − | 0.568862i | \(-0.192616\pi\) |
−0.795166 | + | 0.606392i | \(0.792616\pi\) | |||||||
\(840\) | −8.68298 | + | 12.7299i | −0.299591 | + | 0.439223i | ||||
\(841\) | 4.37617 | + | 13.4685i | 0.150902 | + | 0.464429i | ||||
\(842\) | −77.7591 | − | 16.5282i | −2.67976 | − | 0.569600i | ||||
\(843\) | 18.7234 | + | 0.636094i | 0.644869 | + | 0.0219083i | ||||
\(844\) | −11.9419 | + | 26.8220i | −0.411059 | + | 0.923253i | ||||
\(845\) | 0.862913 | − | 0.776971i | 0.0296851 | − | 0.0267286i | ||||
\(846\) | 1.04370 | + | 7.32564i | 0.0358830 | + | 0.251861i | ||||
\(847\) | 27.2475 | − | 10.2261i | 0.936236 | − | 0.351372i | ||||
\(848\) | − | 22.7027i | − | 0.779613i | ||||||
\(849\) | 16.4376 | + | 15.8435i | 0.564135 | + | 0.543748i | ||||
\(850\) | 0.950398 | + | 0.423145i | 0.0325984 | + | 0.0145137i | ||||
\(851\) | 35.7287 | + | 3.75524i | 1.22476 | + | 0.128728i | ||||
\(852\) | 89.2783 | + | 12.4611i | 3.05862 | + | 0.426910i | ||||
\(853\) | −6.97779 | + | 2.26722i | −0.238915 | + | 0.0776281i | −0.426027 | − | 0.904710i | \(-0.640087\pi\) |
0.187112 | + | 0.982339i | \(0.440087\pi\) | |||||||
\(854\) | −13.4508 | + | 91.6209i | −0.460277 | + | 3.13520i | ||||
\(855\) | −2.86000 | + | 2.77235i | −0.0978099 | + | 0.0948124i | ||||
\(856\) | 30.3881 | + | 33.7494i | 1.03864 | + | 1.15353i | ||||
\(857\) | −25.5461 | − | 44.2471i | −0.872637 | − | 1.51145i | −0.859258 | − | 0.511542i | \(-0.829075\pi\) |
−0.0133789 | − | 0.999910i | \(-0.504259\pi\) | |||||||
\(858\) | −52.1317 | − | 10.5914i | −1.77975 | − | 0.361583i | ||||
\(859\) | −0.264426 | + | 0.458000i | −0.00902211 | + | 0.0156268i | −0.870501 | − | 0.492166i | \(-0.836205\pi\) |
0.861479 | + | 0.507793i | \(0.169539\pi\) | |||||||
\(860\) | 2.12673 | − | 6.54541i | 0.0725209 | − | 0.223197i | ||||
\(861\) | −20.0713 | − | 8.23088i | −0.684028 | − | 0.280508i | ||||
\(862\) | −1.27401 | − | 0.925620i | −0.0433928 | − | 0.0315267i | ||||
\(863\) | 0.659009 | − | 3.10040i | 0.0224329 | − | 0.105539i | −0.965507 | − | 0.260378i | \(-0.916153\pi\) |
0.987940 | + | 0.154840i | \(0.0494861\pi\) | |||||||
\(864\) | 4.97266 | + | 2.85217i | 0.169173 | + | 0.0970328i | ||||
\(865\) | −16.0875 | − | 1.69086i | −0.546990 | − | 0.0574909i | ||||
\(866\) | 6.84931 | + | 65.1669i | 0.232749 | + | 2.21446i | ||||
\(867\) | 28.5614 | + | 7.09245i | 0.969996 | + | 0.240872i | ||||
\(868\) | −50.0765 | − | 31.7205i | −1.69971 | − | 1.07667i | ||||
\(869\) | 16.9109 | − | 8.41732i | 0.573664 | − | 0.285538i | ||||
\(870\) | 8.89122 | − | 18.2736i | 0.301441 | − | 0.619533i | ||||
\(871\) | 6.17648 | + | 29.0581i | 0.209282 | + | 0.984595i | ||||
\(872\) | −11.8602 | + | 26.6384i | −0.401636 | + | 0.902090i | ||||
\(873\) | −22.5271 | + | 14.1358i | −0.762426 | + | 0.478426i | ||||
\(874\) | −9.99981 | − | 30.7762i | −0.338248 | − | 1.04102i | ||||
\(875\) | −4.96968 | − | 17.7419i | −0.168006 | − | 0.599784i | ||||
\(876\) | 60.3037 | + | 37.6026i | 2.03747 | + | 1.27047i | ||||
\(877\) | 53.2533 | − | 5.59714i | 1.79824 | − | 0.189002i | 0.854444 | − | 0.519544i | \(-0.173898\pi\) |
0.943791 | + | 0.330542i | \(0.107231\pi\) | |||||||
\(878\) | 1.40132 | + | 6.59268i | 0.0472921 | + | 0.222492i | ||||
\(879\) | 5.36269 | − | 3.62457i | 0.180879 | − | 0.122254i | ||||
\(880\) | 5.14708 | − | 6.23537i | 0.173508 | − | 0.210194i | ||||
\(881\) | 8.39636i | 0.282881i | 0.989947 | + | 0.141440i | \(0.0451733\pi\) | ||||
−0.989947 | + | 0.141440i | \(0.954827\pi\) | |||||||
\(882\) | 49.1048 | − | 13.5300i | 1.65344 | − | 0.455579i | ||||
\(883\) | −12.5181 | + | 9.09495i | −0.421268 | + | 0.306069i | −0.778148 | − | 0.628081i | \(-0.783841\pi\) |
0.356880 | + | 0.934150i | \(0.383841\pi\) | |||||||
\(884\) | 0.580169 | + | 1.30308i | 0.0195132 | + | 0.0438274i | ||||
\(885\) | −2.03095 | − | 1.58366i | −0.0682695 | − | 0.0532340i | ||||
\(886\) | −28.5489 | − | 25.7056i | −0.959120 | − | 0.863595i | ||||
\(887\) | 19.1017 | − | 8.50461i | 0.641371 | − | 0.285557i | −0.0601675 | − | 0.998188i | \(-0.519163\pi\) |
0.701539 | + | 0.712631i | \(0.252497\pi\) | |||||||
\(888\) | −24.7151 | − | 29.3978i | −0.829385 | − | 0.986525i | ||||
\(889\) | −8.13288 | + | 21.9250i | −0.272768 | + | 0.735341i | ||||
\(890\) | 18.6991 | 0.626795 | ||||||||
\(891\) | 2.76840 | − | 29.7210i | 0.0927448 | − | 0.995690i | ||||
\(892\) | −8.38799 | − | 14.5284i | −0.280851 | − | 0.486447i | ||||
\(893\) | 1.79368 | − | 0.381258i | 0.0600231 | − | 0.0127583i | ||||
\(894\) | −36.8806 | + | 6.53904i | −1.23347 | + | 0.218698i | ||||
\(895\) | 2.50106 | + | 1.81713i | 0.0836013 | + | 0.0607399i | ||||
\(896\) | 13.3422 | − | 52.1464i | 0.445733 | − | 1.74209i | ||||
\(897\) | −45.3485 | + | 18.3719i | −1.51414 | + | 0.613421i | ||||
\(898\) | 17.3208 | + | 38.9031i | 0.578002 | + | 1.29821i | ||||
\(899\) | 34.6314 | + | 15.4189i | 1.15502 | + | 0.514249i | ||||
\(900\) | 48.7622 | − | 17.8526i | 1.62541 | − | 0.595087i | ||||
\(901\) | −0.571378 | − | 0.329885i | −0.0190354 | − | 0.0109901i | ||||
\(902\) | 33.7665 | + | 17.6065i | 1.12430 | + | 0.586233i | ||||
\(903\) | −9.38536 | + | 5.79705i | −0.312325 | + | 0.192914i | ||||
\(904\) | 38.6979 | + | 12.5737i | 1.28707 | + | 0.418195i | ||||
\(905\) | 12.7475 | − | 1.33982i | 0.423743 | − | 0.0445371i | ||||
\(906\) | 3.08816 | − | 90.8998i | 0.102597 | − | 3.01994i | ||||
\(907\) | 31.0554 | − | 34.4905i | 1.03118 | − | 1.14524i | 0.0419095 | − | 0.999121i | \(-0.486656\pi\) |
0.989267 | − | 0.146116i | \(-0.0466774\pi\) | |||||||
\(908\) | −71.5321 | − | 15.2046i | −2.37388 | − | 0.504583i | ||||
\(909\) | −41.2527 | − | 21.8344i | −1.36826 | − | 0.724200i | ||||
\(910\) | 8.00766 | − | 16.1654i | 0.265451 | − | 0.535878i | ||||
\(911\) | −13.5404 | − | 4.39953i | −0.448612 | − | 0.145763i | 0.0759935 | − | 0.997108i | \(-0.475787\pi\) |
−0.524605 | + | 0.851345i | \(0.675787\pi\) | |||||||
\(912\) | −4.52424 | + | 9.29839i | −0.149812 | + | 0.307900i | ||||
\(913\) | 0.0988174 | + | 2.29868i | 0.00327038 | + | 0.0760752i | ||||
\(914\) | 18.1218 | − | 10.4626i | 0.599415 | − | 0.346073i | ||||
\(915\) | −12.7717 | + | 13.2505i | −0.422218 | + | 0.438049i | ||||
\(916\) | 6.25745 | − | 4.54630i | 0.206752 | − | 0.150214i | ||||
\(917\) | 7.37229 | + | 18.5747i | 0.243454 | + | 0.613390i | ||||
\(918\) | −1.04845 | + | 0.609300i | −0.0346041 | + | 0.0201099i | ||||
\(919\) | −7.83633 | + | 36.8670i | −0.258497 | + | 1.21613i | 0.636930 | + | 0.770922i | \(0.280204\pi\) |
−0.895426 | + | 0.445209i | \(0.853129\pi\) | |||||||
\(920\) | 2.60061 | − | 24.7431i | 0.0857395 | − | 0.815756i | ||||
\(921\) | 35.1617 | + | 12.7601i | 1.15862 | + | 0.420461i | ||||
\(922\) | −47.7767 | − | 53.0615i | −1.57344 | − | 1.74749i | ||||
\(923\) | −51.1750 | −1.68445 | ||||||||
\(924\) | −58.0882 | + | 10.4139i | −1.91096 | + | 0.342593i | ||||
\(925\) | 21.6451 | 0.711686 | ||||||||
\(926\) | −29.5608 | − | 32.8306i | −0.971429 | − | 1.07888i | ||||
\(927\) | −27.7691 | − | 7.90580i | −0.912056 | − | 0.259660i | ||||
\(928\) | −0.757617 | + | 7.20824i | −0.0248700 | + | 0.236622i | ||||
\(929\) | 4.97092 | − | 23.3864i | 0.163091 | − | 0.767282i | −0.818228 | − | 0.574894i | \(-0.805043\pi\) |
0.981319 | − | 0.192388i | \(-0.0616232\pi\) | |||||||
\(930\) | −6.70189 | − | 16.5427i | −0.219764 | − | 0.542455i | ||||
\(931\) | −4.17112 | − | 11.9134i | −0.136703 | − | 0.390445i | ||||
\(932\) | −20.0183 | + | 14.5442i | −0.655722 | + | 0.476410i | ||||
\(933\) | 6.72871 | + | 6.48554i | 0.220288 | + | 0.212327i | ||||
\(934\) | 30.3069 | − | 17.4977i | 0.991673 | − | 0.572543i | ||||
\(935\) | −0.0821405 | − | 0.220145i | −0.00268628 | − | 0.00719951i | ||||
\(936\) | 48.5360 | + | 19.5030i | 1.58645 | + | 0.637476i | ||||
\(937\) | −8.22929 | − | 2.67386i | −0.268839 | − | 0.0873511i | 0.171495 | − | 0.985185i | \(-0.445140\pi\) |
−0.440334 | + | 0.897834i | \(0.645140\pi\) | |||||||
\(938\) | 27.6664 | + | 41.5654i | 0.903339 | + | 1.35716i | ||||
\(939\) | 18.3562 | − | 29.4380i | 0.599031 | − | 0.960673i | ||||
\(940\) | 2.84387 | + | 0.604483i | 0.0927568 | + | 0.0197161i | ||||
\(941\) | −5.63261 | + | 6.25564i | −0.183618 | + | 0.203928i | −0.827925 | − | 0.560838i | \(-0.810479\pi\) |
0.644308 | + | 0.764766i | \(0.277146\pi\) | |||||||
\(942\) | −69.9434 | − | 2.37620i | −2.27888 | − | 0.0774208i | ||||
\(943\) | 34.8339 | − | 3.66119i | 1.13435 | − | 0.119225i | ||||
\(944\) | −6.35875 | − | 2.06608i | −0.206960 | − | 0.0672453i | ||||
\(945\) | 9.50062 | + | 3.49352i | 0.309055 | + | 0.113644i | ||||
\(946\) | 17.3359 | − | 8.62883i | 0.563638 | − | 0.280548i | ||||
\(947\) | −28.7416 | − | 16.5940i | −0.933976 | − | 0.539232i | −0.0459094 | − | 0.998946i | \(-0.514619\pi\) |
−0.888067 | + | 0.459714i | \(0.847952\pi\) | |||||||
\(948\) | −36.8104 | + | 10.5929i | −1.19555 | + | 0.344042i | ||||
\(949\) | −36.8569 | − | 16.4098i | −1.19643 | − | 0.532683i | ||||
\(950\) | −7.93010 | − | 17.8113i | −0.257287 | − | 0.577875i | ||||
\(951\) | 9.74184 | + | 24.0464i | 0.315901 | + | 0.779757i | ||||
\(952\) | 0.831302 | + | 0.812704i | 0.0269426 | + | 0.0263399i | ||||
\(953\) | 35.6719 | + | 25.9172i | 1.15553 | + | 0.839539i | 0.989206 | − | 0.146533i | \(-0.0468113\pi\) |
0.166321 | + | 0.986072i | \(0.446811\pi\) | |||||||
\(954\) | −48.3894 | + | 12.1622i | −1.56666 | + | 0.393765i | ||||
\(955\) | 4.10524 | − | 0.872596i | 0.132843 | − | 0.0282366i | ||||
\(956\) | 8.27239 | + | 14.3282i | 0.267548 | + | 0.463407i | ||||
\(957\) | 35.7867 | − | 11.9850i | 1.15682 | − | 0.387421i | ||||
\(958\) | 15.0193 | 0.485251 | ||||||||
\(959\) | −18.6404 | + | 3.16890i | −0.601932 | + | 0.102329i | ||||
\(960\) | 9.07608 | − | 7.63038i | 0.292929 | − | 0.246270i | ||||
\(961\) | 2.09681 | − | 0.933559i | 0.0676389 | − | 0.0301148i | ||||
\(962\) | 33.4146 | + | 30.0866i | 1.07733 | + | 0.970031i | ||||
\(963\) | 16.6358 | − | 24.7645i | 0.536080 | − | 0.798025i | ||||
\(964\) | 1.27933 | + | 2.87343i | 0.0412046 | + | 0.0925470i | ||||
\(965\) | 9.41254 | − | 6.83861i | 0.303000 | − | 0.220143i | ||||
\(966\) | −59.4531 | + | 56.8192i | −1.91287 | + | 1.82813i | ||||
\(967\) | − | 28.1334i | − | 0.904709i | −0.891838 | − | 0.452354i | \(-0.850584\pi\) | ||
0.891838 | − | 0.452354i | \(-0.149416\pi\) | |||||||
\(968\) | 50.0494 | − | 4.31109i | 1.60865 | − | 0.138564i | ||||
\(969\) | 0.168280 | + | 0.248977i | 0.00540594 | + | 0.00799830i | ||||
\(970\) | 3.29163 | + | 15.4859i | 0.105688 | + | 0.497222i | ||||
\(971\) | −11.1539 | + | 1.17232i | −0.357945 | + | 0.0376216i | −0.281795 | − | 0.959475i | \(-0.590930\pi\) |
−0.0761508 | + | 0.997096i | \(0.524263\pi\) | |||||||
\(972\) | −16.4082 | + | 58.2613i | −0.526293 | + | 1.86873i | ||||
\(973\) | 9.06701 | + | 32.3694i | 0.290675 | + | 1.03772i | ||||
\(974\) | 5.94130 | + | 18.2854i | 0.190372 | + | 0.585903i | ||||
\(975\) | −26.0157 | + | 13.8644i | −0.833171 | + | 0.444017i | ||||
\(976\) | −19.4328 | + | 43.6468i | −0.622029 | + | 1.39710i | ||||
\(977\) | 9.85562 | + | 46.3671i | 0.315309 | + | 1.48341i | 0.795341 | + | 0.606162i | \(0.207292\pi\) |
−0.480032 | + | 0.877251i | \(0.659375\pi\) | |||||||
\(978\) | 21.4508 | + | 10.4371i | 0.685921 | + | 0.333743i | ||||
\(979\) | 24.3236 | + | 24.7851i | 0.777386 | + | 0.792136i | ||||
\(980\) | 1.64114 | − | 19.9455i | 0.0524242 | − | 0.637134i | ||||
\(981\) | 18.8705 | + | 3.29056i | 0.602489 | + | 0.105060i | ||||
\(982\) | 1.50850 | + | 14.3524i | 0.0481381 | + | 0.458004i | ||||
\(983\) | 29.5916 | + | 3.11020i | 0.943825 | + | 0.0992000i | 0.563923 | − | 0.825827i | \(-0.309291\pi\) |
0.379901 | + | 0.925027i | \(0.375958\pi\) | |||||||
\(984\) | −29.5286 | − | 23.0253i | −0.941338 | − | 0.734020i | ||||
\(985\) | −0.577897 | + | 2.71879i | −0.0184133 | + | 0.0866279i | ||||
\(986\) | −1.24038 | − | 0.901192i | −0.0395019 | − | 0.0286998i | ||||
\(987\) | −2.84998 | − | 3.68714i | −0.0907159 | − | 0.117363i | ||||
\(988\) | 8.26064 | − | 25.4237i | 0.262806 | − | 0.808834i | ||||
\(989\) | 8.90549 | − | 15.4248i | 0.283178 | − | 0.490479i | ||||
\(990\) | −16.0477 | − | 7.63030i | −0.510029 | − | 0.242507i | ||||
\(991\) | 8.71191 | + | 15.0895i | 0.276743 | + | 0.479333i | 0.970573 | − | 0.240805i | \(-0.0774116\pi\) |
−0.693830 | + | 0.720138i | \(0.744078\pi\) | |||||||
\(992\) | 4.25959 | + | 4.73076i | 0.135242 | + | 0.150202i | ||||
\(993\) | 29.1625 | + | 34.6878i | 0.925445 | + | 1.10078i | ||||
\(994\) | −79.9467 | + | 31.7308i | −2.53576 | + | 1.00644i | ||||
\(995\) | −15.1551 | + | 4.92420i | −0.480449 | + | 0.156107i | ||||
\(996\) | 0.644934 | − | 4.62067i | 0.0204355 | − | 0.146412i | ||||
\(997\) | 11.7262 | + | 1.23248i | 0.371373 | + | 0.0390329i | 0.288377 | − | 0.957517i | \(-0.406884\pi\) |
0.0829962 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(998\) | −38.6800 | − | 17.2214i | −1.22439 | − | 0.545135i | ||||
\(999\) | −14.7718 | + | 20.4535i | −0.467358 | + | 0.647119i |
(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 | 231.2.be.a.2.3 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.26 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.26 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.3 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.3 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.26 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.26 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.3 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.3 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.26 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.3 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.26 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.3 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.26 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.3 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.26 | yes | 224 | 7.4 | even | 3 | inner |