Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 388.21 | ||
Character | \(\chi\) | \(=\) | 483.388 |
Dual form | 483.2.bf.a.61.21 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.654792 | − | 0.514934i | 0.463008 | − | 0.364114i | −0.359238 | − | 0.933246i | \(-0.616963\pi\) |
0.822246 | + | 0.569132i | \(0.192721\pi\) | |||||||
\(3\) | 0.814576 | − | 0.580057i | 0.470296 | − | 0.334896i | ||||
\(4\) | −0.307922 | + | 1.26927i | −0.153961 | + | 0.634636i | ||||
\(5\) | 2.89082 | + | 0.557160i | 1.29281 | + | 0.249169i | 0.788866 | − | 0.614565i | \(-0.210668\pi\) |
0.503948 | + | 0.863734i | \(0.331880\pi\) | |||||||
\(6\) | 0.234687 | − | 0.799270i | 0.0958105 | − | 0.326301i | ||||
\(7\) | −0.647767 | − | 2.56523i | −0.244833 | − | 0.969565i | ||||
\(8\) | 1.14406 | + | 2.50514i | 0.404486 | + | 0.885701i | ||||
\(9\) | 0.327068 | − | 0.945001i | 0.109023 | − | 0.315000i | ||||
\(10\) | 2.17979 | − | 1.12376i | 0.689309 | − | 0.355364i | ||||
\(11\) | −0.0363377 | + | 0.0462071i | −0.0109562 | + | 0.0139320i | −0.791500 | − | 0.611169i | \(-0.790700\pi\) |
0.780544 | + | 0.625101i | \(0.214942\pi\) | |||||||
\(12\) | 0.485424 | + | 1.21253i | 0.140130 | + | 0.350028i | ||||
\(13\) | 0.922722 | − | 1.43578i | 0.255917 | − | 0.398215i | −0.689393 | − | 0.724387i | \(-0.742123\pi\) |
0.945310 | + | 0.326173i | \(0.105759\pi\) | |||||||
\(14\) | −1.74508 | − | 1.34613i | −0.466392 | − | 0.359770i | ||||
\(15\) | 2.67798 | − | 1.22299i | 0.691451 | − | 0.315775i | ||||
\(16\) | −0.282693 | − | 0.145738i | −0.0706733 | − | 0.0364346i | ||||
\(17\) | −3.00012 | + | 2.86061i | −0.727636 | + | 0.693799i | −0.960366 | − | 0.278742i | \(-0.910083\pi\) |
0.232730 | + | 0.972541i | \(0.425234\pi\) | |||||||
\(18\) | −0.272452 | − | 0.787198i | −0.0642175 | − | 0.185544i | ||||
\(19\) | 3.24652 | + | 3.09555i | 0.744802 | + | 0.710167i | 0.964114 | − | 0.265488i | \(-0.0855329\pi\) |
−0.219312 | + | 0.975655i | \(0.570381\pi\) | |||||||
\(20\) | −1.59734 | + | 3.49768i | −0.357175 | + | 0.782105i | ||||
\(21\) | −2.01563 | − | 1.71383i | −0.439847 | − | 0.373989i | ||||
\(22\) | 0.0489676i | 0.0104399i | ||||||||
\(23\) | 2.37631 | − | 4.16571i | 0.495495 | − | 0.868611i | ||||
\(24\) | 2.38505 | + | 1.37701i | 0.486846 | + | 0.281080i | ||||
\(25\) | 3.40457 | + | 1.36299i | 0.680915 | + | 0.272597i | ||||
\(26\) | −0.135143 | − | 1.41528i | −0.0265037 | − | 0.277559i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 3.45544 | − | 0.0323020i | 0.653016 | − | 0.00610450i | ||||
\(29\) | 3.59731 | + | 1.05627i | 0.668004 | + | 0.196144i | 0.598114 | − | 0.801411i | \(-0.295917\pi\) |
0.0698898 | + | 0.997555i | \(0.477735\pi\) | |||||||
\(30\) | 1.12376 | − | 2.17979i | 0.205169 | − | 0.397973i | ||||
\(31\) | −0.361480 | + | 3.78559i | −0.0649238 | + | 0.679913i | 0.903163 | + | 0.429298i | \(0.141239\pi\) |
−0.968087 | + | 0.250615i | \(0.919367\pi\) | |||||||
\(32\) | −5.66864 | + | 1.09254i | −1.00208 | + | 0.193136i | ||||
\(33\) | −0.00279704 | + | 0.0587172i | −0.000486903 | + | 0.0102213i | ||||
\(34\) | −0.491430 | + | 3.41797i | −0.0842795 | + | 0.586177i | ||||
\(35\) | −0.443335 | − | 7.77652i | −0.0749373 | − | 1.31447i | ||||
\(36\) | 1.09875 | + | 0.706125i | 0.183125 | + | 0.117688i | ||||
\(37\) | −6.60378 | − | 2.28559i | −1.08565 | − | 0.375749i | −0.275102 | − | 0.961415i | \(-0.588712\pi\) |
−0.810552 | + | 0.585666i | \(0.800833\pi\) | |||||||
\(38\) | 3.71980 | + | 0.355198i | 0.603431 | + | 0.0576207i | ||||
\(39\) | −0.0812090 | − | 1.70479i | −0.0130038 | − | 0.272984i | ||||
\(40\) | 1.91151 | + | 7.87933i | 0.302236 | + | 1.24583i | ||||
\(41\) | −5.33448 | − | 4.62235i | −0.833105 | − | 0.721890i | 0.129855 | − | 0.991533i | \(-0.458549\pi\) |
−0.962960 | + | 0.269643i | \(0.913094\pi\) | |||||||
\(42\) | −2.20233 | − | 0.0842847i | −0.339827 | − | 0.0130054i | ||||
\(43\) | −0.791856 | − | 0.361628i | −0.120757 | − | 0.0551478i | 0.354120 | − | 0.935200i | \(-0.384780\pi\) |
−0.474877 | + | 0.880052i | \(0.657508\pi\) | |||||||
\(44\) | −0.0474603 | − | 0.0603507i | −0.00715491 | − | 0.00909820i | ||||
\(45\) | 1.47201 | − | 2.54960i | 0.219434 | − | 0.380072i | ||||
\(46\) | −0.589076 | − | 3.95132i | −0.0868545 | − | 0.582590i | ||||
\(47\) | 4.26603 | − | 2.46299i | 0.622264 | − | 0.359264i | −0.155486 | − | 0.987838i | \(-0.549694\pi\) |
0.777750 | + | 0.628574i | \(0.216361\pi\) | |||||||
\(48\) | −0.314812 | + | 0.0452631i | −0.0454392 | + | 0.00653316i | ||||
\(49\) | −6.16080 | + | 3.32334i | −0.880114 | + | 0.474763i | ||||
\(50\) | 2.93114 | − | 0.860660i | 0.414525 | − | 0.121716i | ||||
\(51\) | −0.784510 | + | 4.07042i | −0.109853 | + | 0.569973i | ||||
\(52\) | 1.53827 | + | 1.61330i | 0.213320 | + | 0.223724i | ||||
\(53\) | −2.27517 | + | 0.108380i | −0.312518 | + | 0.0148871i | −0.203255 | − | 0.979126i | \(-0.565152\pi\) |
−0.109263 | + | 0.994013i | \(0.534849\pi\) | |||||||
\(54\) | −0.678552 | − | 0.483195i | −0.0923393 | − | 0.0657545i | ||||
\(55\) | −0.130791 | + | 0.113331i | −0.0176358 | + | 0.0152815i | ||||
\(56\) | 5.68517 | − | 4.55752i | 0.759713 | − | 0.609024i | ||||
\(57\) | 4.44013 | + | 0.638394i | 0.588109 | + | 0.0845573i | ||||
\(58\) | 2.89940 | − | 1.16074i | 0.380710 | − | 0.152413i | ||||
\(59\) | −4.34574 | − | 8.42956i | −0.565767 | − | 1.09743i | −0.982124 | − | 0.188234i | \(-0.939724\pi\) |
0.416357 | − | 0.909201i | \(-0.363307\pi\) | |||||||
\(60\) | 0.727701 | + | 3.77567i | 0.0939458 | + | 0.487437i | ||||
\(61\) | −3.03777 | + | 4.26596i | −0.388947 | + | 0.546200i | −0.961905 | − | 0.273385i | \(-0.911857\pi\) |
0.572958 | + | 0.819585i | \(0.305796\pi\) | |||||||
\(62\) | 1.71264 | + | 2.66492i | 0.217505 | + | 0.338445i | ||||
\(63\) | −2.63601 | − | 0.226864i | −0.332106 | − | 0.0285822i | ||||
\(64\) | −2.73264 | + | 3.15364i | −0.341580 | + | 0.394205i | ||||
\(65\) | 3.46738 | − | 3.63649i | 0.430076 | − | 0.451051i | ||||
\(66\) | 0.0284040 | + | 0.0398878i | 0.00349629 | + | 0.00490985i | ||||
\(67\) | −1.08353 | + | 2.70652i | −0.132374 | + | 0.330654i | −0.979715 | − | 0.200395i | \(-0.935778\pi\) |
0.847341 | + | 0.531048i | \(0.178202\pi\) | |||||||
\(68\) | −2.70709 | − | 4.68882i | −0.328283 | − | 0.568602i | ||||
\(69\) | −0.480662 | − | 4.77168i | −0.0578649 | − | 0.574443i | ||||
\(70\) | −4.29469 | − | 4.86372i | −0.513314 | − | 0.581326i | ||||
\(71\) | 0.389889 | + | 2.71173i | 0.0462713 | + | 0.321824i | 0.999790 | + | 0.0204901i | \(0.00652266\pi\) |
−0.953519 | + | 0.301334i | \(0.902568\pi\) | |||||||
\(72\) | 2.74154 | − | 0.261786i | 0.323094 | − | 0.0308518i | ||||
\(73\) | −16.5969 | − | 4.02635i | −1.94252 | − | 0.471249i | −0.979217 | − | 0.202815i | \(-0.934991\pi\) |
−0.963298 | − | 0.268434i | \(-0.913494\pi\) | |||||||
\(74\) | −5.50103 | + | 1.90393i | −0.639482 | + | 0.221327i | ||||
\(75\) | 3.56389 | − | 0.864591i | 0.411523 | − | 0.0998344i | ||||
\(76\) | −4.92877 | + | 3.16753i | −0.565368 | + | 0.363340i | ||||
\(77\) | 0.142070 | + | 0.0632830i | 0.0161904 | + | 0.00721177i | ||||
\(78\) | −0.931028 | − | 1.07446i | −0.105418 | − | 0.121659i | ||||
\(79\) | 13.0965 | + | 0.623864i | 1.47347 | + | 0.0701902i | 0.768867 | − | 0.639409i | \(-0.220821\pi\) |
0.704606 | + | 0.709599i | \(0.251124\pi\) | |||||||
\(80\) | −0.736015 | − | 0.578809i | −0.0822890 | − | 0.0647128i | ||||
\(81\) | −0.786053 | − | 0.618159i | −0.0873392 | − | 0.0686843i | ||||
\(82\) | −5.87318 | − | 0.279774i | −0.648584 | − | 0.0308959i | ||||
\(83\) | −0.139102 | − | 0.160532i | −0.0152684 | − | 0.0176207i | 0.748064 | − | 0.663627i | \(-0.230984\pi\) |
−0.763332 | + | 0.646006i | \(0.776438\pi\) | |||||||
\(84\) | 2.79598 | − | 2.03066i | 0.305066 | − | 0.221563i | ||||
\(85\) | −10.2666 | + | 6.59796i | −1.11357 | + | 0.715649i | ||||
\(86\) | −0.704716 | + | 0.170962i | −0.0759915 | + | 0.0184353i | ||||
\(87\) | 3.54298 | − | 1.22624i | 0.379847 | − | 0.131466i | ||||
\(88\) | −0.157328 | − | 0.0381673i | −0.0167712 | − | 0.00406865i | ||||
\(89\) | −2.36628 | + | 0.225952i | −0.250825 | + | 0.0239509i | −0.219711 | − | 0.975565i | \(-0.570511\pi\) |
−0.0311137 | + | 0.999516i | \(0.509905\pi\) | |||||||
\(90\) | −0.349014 | − | 2.42745i | −0.0367893 | − | 0.255875i | ||||
\(91\) | −4.28082 | − | 1.43694i | −0.448752 | − | 0.150632i | ||||
\(92\) | 4.55570 | + | 4.29890i | 0.474965 | + | 0.448192i | ||||
\(93\) | 1.90141 | + | 3.29333i | 0.197167 | + | 0.341503i | ||||
\(94\) | 1.52508 | − | 3.80947i | 0.157300 | − | 0.392917i | ||||
\(95\) | 7.66038 | + | 10.7575i | 0.785938 | + | 1.10370i | ||||
\(96\) | −3.98380 | + | 4.17809i | −0.406595 | + | 0.426425i | ||||
\(97\) | −5.18709 | + | 5.98622i | −0.526669 | + | 0.607808i | −0.955288 | − | 0.295677i | \(-0.904455\pi\) |
0.428619 | + | 0.903485i | \(0.359000\pi\) | |||||||
\(98\) | −2.32274 | + | 5.34850i | −0.234632 | + | 0.540280i | ||||
\(99\) | 0.0317809 | + | 0.0494520i | 0.00319410 | + | 0.00497012i | ||||
\(100\) | −2.77834 | + | 3.90164i | −0.277834 | + | 0.390164i | ||||
\(101\) | 1.24122 | + | 6.44008i | 0.123506 | + | 0.640812i | 0.989936 | + | 0.141513i | \(0.0451968\pi\) |
−0.866430 | + | 0.499298i | \(0.833591\pi\) | |||||||
\(102\) | 1.58231 | + | 3.06925i | 0.156672 | + | 0.303901i | ||||
\(103\) | −7.00763 | + | 2.80543i | −0.690482 | + | 0.276427i | −0.690248 | − | 0.723573i | \(-0.742499\pi\) |
−0.000233824 | 1.00000i | \(0.500074\pi\) | ||||||||
\(104\) | 4.65249 | + | 0.668927i | 0.456214 | + | 0.0655937i | ||||
\(105\) | −4.87196 | − | 6.07741i | −0.475454 | − | 0.593094i | ||||
\(106\) | −1.43395 | + | 1.24253i | −0.139278 | + | 0.120685i | ||||
\(107\) | 0.133813 | + | 0.0952877i | 0.0129362 | + | 0.00921181i | 0.586507 | − | 0.809944i | \(-0.300503\pi\) |
−0.573571 | + | 0.819156i | \(0.694442\pi\) | |||||||
\(108\) | 1.30461 | − | 0.0621462i | 0.125536 | − | 0.00598002i | ||||
\(109\) | 7.67951 | + | 8.05404i | 0.735563 | + | 0.771437i | 0.980164 | − | 0.198187i | \(-0.0635054\pi\) |
−0.244601 | + | 0.969624i | \(0.578657\pi\) | |||||||
\(110\) | −0.0272828 | + | 0.141557i | −0.00260131 | + | 0.0134969i | ||||
\(111\) | −6.70505 | + | 1.96878i | −0.636415 | + | 0.186868i | ||||
\(112\) | −0.190733 | + | 0.819577i | −0.0180226 | + | 0.0774428i | ||||
\(113\) | −13.6433 | + | 1.96161i | −1.28345 | + | 0.184532i | −0.750079 | − | 0.661348i | \(-0.769985\pi\) |
−0.533372 | + | 0.845881i | \(0.679076\pi\) | |||||||
\(114\) | 3.23609 | − | 1.86836i | 0.303088 | − | 0.174988i | ||||
\(115\) | 9.19046 | − | 10.7183i | 0.857015 | − | 0.999490i | ||||
\(116\) | −2.44838 | + | 4.24072i | −0.227326 | + | 0.393741i | ||||
\(117\) | −1.05502 | − | 1.34157i | −0.0975370 | − | 0.124028i | ||||
\(118\) | −7.18623 | − | 3.28184i | −0.661546 | − | 0.302118i | ||||
\(119\) | 9.28149 | + | 5.84298i | 0.850833 | + | 0.535626i | ||||
\(120\) | 6.12753 | + | 5.30953i | 0.559364 | + | 0.484692i | ||||
\(121\) | 2.59253 | + | 10.6866i | 0.235685 | + | 0.971506i | ||||
\(122\) | 0.207577 | + | 4.35757i | 0.0187931 | + | 0.394516i | ||||
\(123\) | −7.02656 | − | 0.670955i | −0.633564 | − | 0.0604980i | ||||
\(124\) | −4.69364 | − | 1.62449i | −0.421502 | − | 0.145883i | ||||
\(125\) | −3.30074 | − | 2.12125i | −0.295227 | − | 0.189731i | ||||
\(126\) | −1.84286 | + | 1.20882i | −0.164175 | + | 0.107690i | ||||
\(127\) | −0.218987 | + | 1.52309i | −0.0194319 | + | 0.135152i | −0.997228 | − | 0.0744068i | \(-0.976294\pi\) |
0.977796 | + | 0.209559i | \(0.0672028\pi\) | |||||||
\(128\) | 0.383981 | − | 8.06075i | 0.0339394 | − | 0.712477i | ||||
\(129\) | −0.854792 | + | 0.164748i | −0.0752602 | + | 0.0145052i | ||||
\(130\) | 0.397864 | − | 4.16662i | 0.0348950 | − | 0.365437i | ||||
\(131\) | 8.93050 | − | 17.3227i | 0.780261 | − | 1.51350i | −0.0760897 | − | 0.997101i | \(-0.524244\pi\) |
0.856351 | − | 0.516394i | \(-0.172726\pi\) | |||||||
\(132\) | −0.0736668 | − | 0.0216305i | −0.00641187 | − | 0.00188270i | ||||
\(133\) | 5.83780 | − | 10.3332i | 0.506201 | − | 0.896006i | ||||
\(134\) | 0.684194 | + | 2.33015i | 0.0591054 | + | 0.201294i | ||||
\(135\) | −0.279847 | − | 2.93069i | −0.0240854 | − | 0.252234i | ||||
\(136\) | −10.5985 | − | 4.24301i | −0.908817 | − | 0.363836i | ||||
\(137\) | 8.10937 | + | 4.68195i | 0.692831 | + | 0.400006i | 0.804672 | − | 0.593720i | \(-0.202341\pi\) |
−0.111841 | + | 0.993726i | \(0.535675\pi\) | |||||||
\(138\) | −2.77184 | − | 2.87695i | −0.235954 | − | 0.244902i | ||||
\(139\) | 13.1628i | 1.11645i | 0.829688 | + | 0.558227i | \(0.188518\pi\) | ||||
−0.829688 | + | 0.558227i | \(0.811482\pi\) | |||||||
\(140\) | 10.0070 | + | 1.83185i | 0.845750 | + | 0.154820i | ||||
\(141\) | 2.04633 | − | 4.48083i | 0.172332 | − | 0.377354i | ||||
\(142\) | 1.65166 | + | 1.57486i | 0.138604 | + | 0.132159i | ||||
\(143\) | 0.0328139 | + | 0.0948094i | 0.00274403 | + | 0.00792836i | ||||
\(144\) | −0.230183 | + | 0.219479i | −0.0191819 | + | 0.0182899i | ||||
\(145\) | 9.81067 | + | 5.05775i | 0.814731 | + | 0.420023i | ||||
\(146\) | −12.9408 | + | 5.90987i | −1.07099 | + | 0.489104i | ||||
\(147\) | −3.09071 | + | 6.28073i | −0.254917 | + | 0.518026i | ||||
\(148\) | 4.93449 | − | 7.67821i | 0.405612 | − | 0.631145i | ||||
\(149\) | −3.28060 | − | 8.19454i | −0.268757 | − | 0.671323i | 0.731184 | − | 0.682181i | \(-0.238968\pi\) |
−0.999941 | + | 0.0108573i | \(0.996544\pi\) | |||||||
\(150\) | 1.88840 | − | 2.40130i | 0.154187 | − | 0.196065i | ||||
\(151\) | 9.02057 | − | 4.65043i | 0.734083 | − | 0.378446i | −0.0502906 | − | 0.998735i | \(-0.516015\pi\) |
0.784374 | + | 0.620288i | \(0.212984\pi\) | |||||||
\(152\) | −4.04057 | + | 11.6745i | −0.327734 | + | 0.946924i | ||||
\(153\) | 1.72203 | + | 3.77073i | 0.139218 | + | 0.304845i | ||||
\(154\) | 0.125613 | − | 0.0317196i | 0.0101222 | − | 0.00255604i | ||||
\(155\) | −3.15416 | + | 10.7421i | −0.253348 | + | 0.862824i | ||||
\(156\) | 2.18884 | + | 0.421865i | 0.175248 | + | 0.0337762i | ||||
\(157\) | 3.93614 | − | 16.2250i | 0.314138 | − | 1.29489i | −0.567659 | − | 0.823264i | \(-0.692151\pi\) |
0.881797 | − | 0.471630i | \(-0.156334\pi\) | |||||||
\(158\) | 8.89675 | − | 6.33534i | 0.707787 | − | 0.504013i | ||||
\(159\) | −1.79043 | + | 1.40801i | −0.141990 | + | 0.111662i | ||||
\(160\) | −16.9958 | −1.34363 | ||||||||
\(161\) | −12.2253 | − | 3.39738i | −0.963488 | − | 0.267751i | ||||
\(162\) | −0.833013 | −0.0654477 | ||||||||
\(163\) | 3.11486 | − | 2.44955i | 0.243975 | − | 0.191864i | −0.488683 | − | 0.872462i | \(-0.662522\pi\) |
0.732657 | + | 0.680598i | \(0.238280\pi\) | |||||||
\(164\) | 7.50963 | − | 5.34758i | 0.586403 | − | 0.417576i | ||||
\(165\) | −0.0408006 | + | 0.168182i | −0.00317632 | + | 0.0130930i | ||||
\(166\) | −0.173746 | − | 0.0334868i | −0.0134853 | − | 0.00259908i | ||||
\(167\) | 1.83089 | − | 6.23543i | 0.141678 | − | 0.482512i | −0.857828 | − | 0.513937i | \(-0.828186\pi\) |
0.999506 | + | 0.0314252i | \(0.0100046\pi\) | |||||||
\(168\) | 1.98738 | − | 7.01017i | 0.153330 | − | 0.540846i | ||||
\(169\) | 4.19034 | + | 9.17556i | 0.322334 | + | 0.705812i | ||||
\(170\) | −3.32499 | + | 9.60693i | −0.255015 | + | 0.736818i | ||||
\(171\) | 3.98713 | − | 2.05551i | 0.304903 | − | 0.157188i | ||||
\(172\) | 0.702835 | − | 0.893728i | 0.0535907 | − | 0.0681461i | ||||
\(173\) | −6.93977 | − | 17.3347i | −0.527621 | − | 1.31793i | −0.917745 | − | 0.397171i | \(-0.869992\pi\) |
0.390124 | − | 0.920762i | \(-0.372432\pi\) | |||||||
\(174\) | 1.68848 | − | 2.62733i | 0.128004 | − | 0.199177i | ||||
\(175\) | 1.29100 | − | 9.61641i | 0.0975904 | − | 0.726932i | ||||
\(176\) | 0.0170066 | − | 0.00776664i | 0.00128192 | − | 0.000585433i | ||||
\(177\) | −8.42956 | − | 4.34574i | −0.633604 | − | 0.326646i | ||||
\(178\) | −1.43307 | + | 1.36643i | −0.107413 | + | 0.102418i | ||||
\(179\) | −4.73242 | − | 13.6734i | −0.353718 | − | 1.02200i | −0.971784 | − | 0.235874i | \(-0.924205\pi\) |
0.618066 | − | 0.786126i | \(-0.287916\pi\) | |||||||
\(180\) | 2.78287 | + | 2.65346i | 0.207423 | + | 0.197777i | ||||
\(181\) | −9.91255 | + | 21.7055i | −0.736794 | + | 1.61335i | 0.0519627 | + | 0.998649i | \(0.483452\pi\) |
−0.788757 | + | 0.614705i | \(0.789275\pi\) | |||||||
\(182\) | −3.54298 | + | 1.26344i | −0.262623 | + | 0.0936528i | ||||
\(183\) | 5.23703i | 0.387132i | ||||||||
\(184\) | 13.1543 | + | 1.18718i | 0.969750 | + | 0.0875199i | ||||
\(185\) | −17.8169 | − | 10.2866i | −1.30992 | − | 0.756285i | ||||
\(186\) | 2.94088 | + | 1.17735i | 0.215636 | + | 0.0863274i | ||||
\(187\) | −0.0231631 | − | 0.242575i | −0.00169385 | − | 0.0177388i | ||||
\(188\) | 1.81260 | + | 6.17316i | 0.132198 | + | 0.450224i | ||||
\(189\) | −2.27882 | + | 1.34424i | −0.165760 | + | 0.0977788i | ||||
\(190\) | 10.5554 | + | 3.09933i | 0.765767 | + | 0.224849i | ||||
\(191\) | 0.855088 | − | 1.65864i | 0.0618720 | − | 0.120015i | −0.855871 | − | 0.517189i | \(-0.826979\pi\) |
0.917744 | + | 0.397174i | \(0.130009\pi\) | |||||||
\(192\) | −0.396656 | + | 4.15396i | −0.0286261 | + | 0.299787i | ||||
\(193\) | 19.8680 | − | 3.82924i | 1.43013 | − | 0.275635i | 0.585363 | − | 0.810772i | \(-0.300952\pi\) |
0.844765 | + | 0.535137i | \(0.179740\pi\) | |||||||
\(194\) | −0.313956 | + | 6.59074i | −0.0225407 | + | 0.473187i | ||||
\(195\) | 0.715078 | − | 4.97348i | 0.0512078 | − | 0.356158i | ||||
\(196\) | −2.32118 | − | 8.84306i | −0.165799 | − | 0.631647i | ||||
\(197\) | −5.10159 | − | 3.27859i | −0.363473 | − | 0.233590i | 0.346138 | − | 0.938184i | \(-0.387493\pi\) |
−0.709611 | + | 0.704594i | \(0.751129\pi\) | |||||||
\(198\) | 0.0462744 | + | 0.0160157i | 0.00328858 | + | 0.00113819i | ||||
\(199\) | −15.7798 | − | 1.50679i | −1.11860 | − | 0.106813i | −0.480665 | − | 0.876904i | \(-0.659605\pi\) |
−0.637934 | + | 0.770091i | \(0.720211\pi\) | |||||||
\(200\) | 0.480564 | + | 10.0883i | 0.0339810 | + | 0.713349i | ||||
\(201\) | 0.687320 | + | 2.83317i | 0.0484798 | + | 0.199836i | ||||
\(202\) | 4.12896 | + | 3.57776i | 0.290513 | + | 0.251731i | ||||
\(203\) | 0.379344 | − | 9.91214i | 0.0266247 | − | 0.695696i | ||||
\(204\) | −4.92491 | − | 2.24913i | −0.344813 | − | 0.157471i | ||||
\(205\) | −12.8456 | − | 16.3345i | −0.897177 | − | 1.14085i | ||||
\(206\) | −3.14393 | + | 5.44544i | −0.219048 | + | 0.379402i | ||||
\(207\) | −3.15938 | − | 3.60809i | −0.219592 | − | 0.250779i | ||||
\(208\) | −0.470096 | + | 0.271410i | −0.0325953 | + | 0.0188189i | ||||
\(209\) | −0.261007 | + | 0.0375272i | −0.0180543 | + | 0.00259581i | ||||
\(210\) | −6.31959 | − | 1.47070i | −0.436093 | − | 0.101488i | ||||
\(211\) | 1.64656 | − | 0.483473i | 0.113354 | − | 0.0332836i | −0.224564 | − | 0.974459i | \(-0.572096\pi\) |
0.337917 | + | 0.941176i | \(0.390278\pi\) | |||||||
\(212\) | 0.563012 | − | 2.92118i | 0.0386678 | − | 0.200628i | ||||
\(213\) | 1.89055 | + | 1.98276i | 0.129539 | + | 0.135856i | ||||
\(214\) | 0.136687 | − | 0.00651118i | 0.00934370 | − | 0.000445095i | ||||
\(215\) | −2.08763 | − | 1.48659i | −0.142375 | − | 0.101385i | ||||
\(216\) | 2.08135 | − | 1.80350i | 0.141618 | − | 0.122712i | ||||
\(217\) | 9.94507 | − | 1.52490i | 0.675115 | − | 0.103517i | ||||
\(218\) | 9.17578 | + | 1.31928i | 0.621462 | + | 0.0893528i | ||||
\(219\) | −15.8549 | + | 6.34735i | −1.07138 | + | 0.428914i | ||||
\(220\) | −0.103574 | − | 0.200906i | −0.00698297 | − | 0.0135451i | ||||
\(221\) | 1.33894 | + | 6.94707i | 0.0900667 | + | 0.467310i | ||||
\(222\) | −3.37662 | + | 4.74180i | −0.226624 | + | 0.318249i | ||||
\(223\) | 1.85144 | + | 2.88089i | 0.123981 | + | 0.192919i | 0.897696 | − | 0.440616i | \(-0.145240\pi\) |
−0.773714 | + | 0.633535i | \(0.781603\pi\) | |||||||
\(224\) | 6.47458 | + | 13.8337i | 0.432601 | + | 0.924300i | ||||
\(225\) | 2.40155 | − | 2.77154i | 0.160103 | − | 0.184769i | ||||
\(226\) | −7.92341 | + | 8.30984i | −0.527058 | + | 0.552762i | ||||
\(227\) | 1.35186 | + | 1.89843i | 0.0897263 | + | 0.126003i | 0.856999 | − | 0.515318i | \(-0.172326\pi\) |
−0.767273 | + | 0.641321i | \(0.778387\pi\) | |||||||
\(228\) | −2.17751 | + | 5.43916i | −0.144209 | + | 0.360217i | ||||
\(229\) | 3.96591 | + | 6.86915i | 0.262075 | + | 0.453926i | 0.966793 | − | 0.255561i | \(-0.0822600\pi\) |
−0.704719 | + | 0.709487i | \(0.748927\pi\) | |||||||
\(230\) | 0.498604 | − | 11.7508i | 0.0328770 | − | 0.774822i | ||||
\(231\) | 0.152435 | − | 0.0308600i | 0.0100295 | − | 0.00203044i | ||||
\(232\) | 1.46944 | + | 10.2202i | 0.0964736 | + | 0.670989i | ||||
\(233\) | 21.3756 | − | 2.04112i | 1.40036 | − | 0.133718i | 0.632612 | − | 0.774469i | \(-0.281983\pi\) |
0.767749 | + | 0.640751i | \(0.221377\pi\) | |||||||
\(234\) | −1.38164 | − | 0.335183i | −0.0903208 | − | 0.0219116i | ||||
\(235\) | 13.7046 | − | 4.74321i | 0.893989 | − | 0.309413i | ||||
\(236\) | 12.0376 | − | 2.92028i | 0.783578 | − | 0.190094i | ||||
\(237\) | 11.0300 | − | 7.08854i | 0.716474 | − | 0.460450i | ||||
\(238\) | 9.08620 | − | 0.953418i | 0.588971 | − | 0.0618009i | ||||
\(239\) | 19.4121 | + | 22.4028i | 1.25566 | + | 1.44911i | 0.842715 | + | 0.538360i | \(0.180956\pi\) |
0.412949 | + | 0.910754i | \(0.364499\pi\) | |||||||
\(240\) | −0.935283 | − | 0.0445530i | −0.0603722 | − | 0.00287588i | ||||
\(241\) | 16.7039 | + | 13.1361i | 1.07599 | + | 0.846171i | 0.988684 | − | 0.150010i | \(-0.0479307\pi\) |
0.0873094 | + | 0.996181i | \(0.472173\pi\) | |||||||
\(242\) | 7.20045 | + | 5.66250i | 0.462863 | + | 0.363999i | ||||
\(243\) | −0.998867 | − | 0.0475819i | −0.0640774 | − | 0.00305238i | ||||
\(244\) | −4.47926 | − | 5.16935i | −0.286755 | − | 0.330933i | ||||
\(245\) | −19.6614 | + | 6.17463i | −1.25612 | + | 0.394483i | ||||
\(246\) | −4.94644 | + | 3.17888i | −0.315373 | + | 0.202678i | ||||
\(247\) | 7.44017 | − | 1.80496i | 0.473406 | − | 0.114847i | ||||
\(248\) | −9.89700 | + | 3.42538i | −0.628460 | + | 0.217512i | ||||
\(249\) | −0.206427 | − | 0.0500786i | −0.0130818 | − | 0.00317360i | ||||
\(250\) | −3.25360 | + | 0.310682i | −0.205776 | + | 0.0196492i | ||||
\(251\) | −2.27971 | − | 15.8557i | −0.143894 | − | 1.00080i | −0.925963 | − | 0.377613i | \(-0.876745\pi\) |
0.782070 | − | 0.623191i | \(-0.214164\pi\) | |||||||
\(252\) | 1.09964 | − | 3.27596i | 0.0692706 | − | 0.206366i | ||||
\(253\) | 0.106136 | + | 0.261175i | 0.00667270 | + | 0.0164199i | ||||
\(254\) | 0.640898 | + | 1.11007i | 0.0402135 | + | 0.0696519i | ||||
\(255\) | −4.53575 | + | 11.3298i | −0.284040 | + | 0.709497i | ||||
\(256\) | −8.74032 | − | 12.2741i | −0.546270 | − | 0.767129i | ||||
\(257\) | 18.1224 | − | 19.0063i | 1.13045 | − | 1.18558i | 0.150022 | − | 0.988683i | \(-0.452066\pi\) |
0.980425 | − | 0.196895i | \(-0.0630859\pi\) | |||||||
\(258\) | −0.474877 | + | 0.548037i | −0.0295645 | + | 0.0341193i | ||||
\(259\) | −1.58535 | + | 18.4207i | −0.0985089 | + | 1.14461i | ||||
\(260\) | 3.54801 | + | 5.52081i | 0.220038 | + | 0.342386i | ||||
\(261\) | 2.17474 | − | 3.05399i | 0.134613 | − | 0.189037i | ||||
\(262\) | −3.07246 | − | 15.9414i | −0.189817 | − | 0.984864i | ||||
\(263\) | −3.40903 | − | 6.61259i | −0.210210 | − | 0.407750i | 0.760033 | − | 0.649884i | \(-0.225183\pi\) |
−0.970243 | + | 0.242135i | \(0.922152\pi\) | |||||||
\(264\) | −0.150295 | + | 0.0601689i | −0.00925000 | + | 0.00370314i | ||||
\(265\) | −6.63749 | − | 0.954327i | −0.407738 | − | 0.0586238i | ||||
\(266\) | −1.49840 | − | 9.77222i | −0.0918727 | − | 0.599173i | ||||
\(267\) | −1.79645 | + | 1.55663i | −0.109941 | + | 0.0952642i | ||||
\(268\) | −3.10167 | − | 2.20869i | −0.189464 | − | 0.134917i | ||||
\(269\) | 30.4406 | − | 1.45007i | 1.85600 | − | 0.0884120i | 0.910395 | − | 0.413739i | \(-0.135777\pi\) |
0.945602 | + | 0.325327i | \(0.105474\pi\) | |||||||
\(270\) | −1.69236 | − | 1.77489i | −0.102993 | − | 0.108016i | ||||
\(271\) | 3.36252 | − | 17.4464i | 0.204258 | − | 1.05979i | −0.724547 | − | 0.689225i | \(-0.757951\pi\) |
0.928805 | − | 0.370568i | \(-0.120837\pi\) | |||||||
\(272\) | 1.26501 | − | 0.371442i | 0.0767027 | − | 0.0225220i | ||||
\(273\) | −4.32056 | + | 1.31262i | −0.261492 | + | 0.0794436i | ||||
\(274\) | 7.72085 | − | 1.11009i | 0.466434 | − | 0.0670631i | ||||
\(275\) | −0.186694 | + | 0.107788i | −0.0112581 | + | 0.00649985i | ||||
\(276\) | 6.20458 | + | 0.859217i | 0.373472 | + | 0.0517188i | ||||
\(277\) | 15.1245 | − | 26.1965i | 0.908746 | − | 1.57399i | 0.0929366 | − | 0.995672i | \(-0.470375\pi\) |
0.815809 | − | 0.578322i | \(-0.196292\pi\) | |||||||
\(278\) | 6.77798 | + | 8.61890i | 0.406516 | + | 0.516927i | ||||
\(279\) | 3.45916 | + | 1.57975i | 0.207095 | + | 0.0945769i | ||||
\(280\) | 18.9741 | − | 10.0074i | 1.13392 | − | 0.598058i | ||||
\(281\) | 7.42762 | + | 6.43607i | 0.443095 | + | 0.383944i | 0.847638 | − | 0.530575i | \(-0.178024\pi\) |
−0.404543 | + | 0.914519i | \(0.632569\pi\) | |||||||
\(282\) | −0.967415 | − | 3.98774i | −0.0576087 | − | 0.237466i | ||||
\(283\) | 0.782323 | + | 16.4230i | 0.0465043 | + | 0.976245i | 0.894729 | + | 0.446609i | \(0.147368\pi\) |
−0.848225 | + | 0.529636i | \(0.822328\pi\) | |||||||
\(284\) | −3.56199 | − | 0.340128i | −0.211365 | − | 0.0201829i | ||||
\(285\) | 12.4799 | + | 4.31934i | 0.739247 | + | 0.255856i | ||||
\(286\) | 0.0703069 | + | 0.0451835i | 0.00415733 | + | 0.00267176i | ||||
\(287\) | −8.40189 | + | 16.6784i | −0.495948 | + | 0.984492i | ||||
\(288\) | −0.821579 | + | 5.71421i | −0.0484120 | + | 0.336713i | ||||
\(289\) | 0.00874527 | − | 0.183586i | 0.000514428 | − | 0.0107992i | ||||
\(290\) | 9.02836 | − | 1.74007i | 0.530163 | − | 0.102181i | ||||
\(291\) | −0.752929 | + | 7.88503i | −0.0441375 | + | 0.462229i | ||||
\(292\) | 10.2211 | − | 19.8261i | 0.598144 | − | 1.16024i | ||||
\(293\) | −25.1778 | − | 7.39287i | −1.47090 | − | 0.431896i | −0.554511 | − | 0.832177i | \(-0.687095\pi\) |
−0.916393 | + | 0.400280i | \(0.868913\pi\) | |||||||
\(294\) | 1.21039 | + | 5.70408i | 0.0705913 | + | 0.332669i | ||||
\(295\) | −7.86614 | − | 26.7896i | −0.457984 | − | 1.55975i | ||||
\(296\) | −1.82939 | − | 19.1582i | −0.106331 | − | 1.11355i | ||||
\(297\) | 0.0545729 | + | 0.0218477i | 0.00316664 | + | 0.00126773i | ||||
\(298\) | −6.36777 | − | 3.67643i | −0.368875 | − | 0.212970i | ||||
\(299\) | −3.78838 | − | 7.25566i | −0.219088 | − | 0.419606i | ||||
\(300\) | 4.78978i | 0.276538i | ||||||||
\(301\) | −0.414722 | + | 2.26554i | −0.0239042 | + | 0.130584i | ||||
\(302\) | 3.51193 | − | 7.69006i | 0.202089 | − | 0.442513i | ||||
\(303\) | 4.74668 | + | 4.52595i | 0.272690 | + | 0.260009i | ||||
\(304\) | −0.466628 | − | 1.34823i | −0.0267629 | − | 0.0773264i | ||||
\(305\) | −11.1585 | + | 10.6396i | −0.638932 | + | 0.609221i | ||||
\(306\) | 3.06925 | + | 1.58231i | 0.175457 | + | 0.0904546i | ||||
\(307\) | 17.0116 | − | 7.76892i | 0.970901 | − | 0.443396i | 0.134139 | − | 0.990963i | \(-0.457173\pi\) |
0.836762 | + | 0.547567i | \(0.184446\pi\) | |||||||
\(308\) | −0.124070 | + | 0.160840i | −0.00706955 | + | 0.00916469i | ||||
\(309\) | −4.08094 | + | 6.35006i | −0.232156 | + | 0.361242i | ||||
\(310\) | 3.46614 | + | 8.65801i | 0.196864 | + | 0.491742i | ||||
\(311\) | −15.4716 | + | 19.6738i | −0.877316 | + | 1.11560i | 0.115182 | + | 0.993344i | \(0.463255\pi\) |
−0.992499 | + | 0.122254i | \(0.960988\pi\) | |||||||
\(312\) | 4.17782 | − | 2.15382i | 0.236522 | − | 0.121936i | ||||
\(313\) | 4.43342 | − | 12.8095i | 0.250592 | − | 0.724037i | −0.747613 | − | 0.664135i | \(-0.768800\pi\) |
0.998204 | − | 0.0599020i | \(-0.0190788\pi\) | |||||||
\(314\) | −5.77745 | − | 12.6508i | −0.326040 | − | 0.713928i | ||||
\(315\) | −7.49382 | − | 2.12450i | −0.422229 | − | 0.119702i | ||||
\(316\) | −4.82456 | + | 16.4309i | −0.271403 | + | 0.924313i | ||||
\(317\) | 27.4420 | + | 5.28901i | 1.54130 | + | 0.297061i | 0.887929 | − | 0.459980i | \(-0.152144\pi\) |
0.653367 | + | 0.757041i | \(0.273356\pi\) | |||||||
\(318\) | −0.447327 | + | 1.84391i | −0.0250849 | + | 0.103401i | ||||
\(319\) | −0.179525 | + | 0.127839i | −0.0100515 | + | 0.00715762i | ||||
\(320\) | −9.65666 | + | 7.59408i | −0.539824 | + | 0.424522i | ||||
\(321\) | 0.164273 | 0.00916883 | ||||||||
\(322\) | −9.75446 | + | 4.07065i | −0.543595 | + | 0.226848i | ||||
\(323\) | −18.5951 | −1.03466 | ||||||||
\(324\) | 1.02666 | − | 0.807371i | 0.0570364 | − | 0.0448539i | ||||
\(325\) | 5.09843 | − | 3.63057i | 0.282810 | − | 0.201388i | ||||
\(326\) | 0.778227 | − | 3.20790i | 0.0431020 | − | 0.177669i | ||||
\(327\) | 10.9273 | + | 2.10607i | 0.604283 | + | 0.116466i | ||||
\(328\) | 5.47668 | − | 18.6519i | 0.302399 | − | 1.02988i | ||||
\(329\) | −9.08153 | − | 9.34789i | −0.500681 | − | 0.515366i | ||||
\(330\) | 0.0598870 | + | 0.131134i | 0.00329667 | + | 0.00721870i | ||||
\(331\) | 6.25658 | − | 18.0772i | 0.343893 | − | 0.993613i | −0.631926 | − | 0.775029i | \(-0.717735\pi\) |
0.975818 | − | 0.218583i | \(-0.0701436\pi\) | |||||||
\(332\) | 0.246592 | − | 0.127127i | 0.0135335 | − | 0.00697699i | ||||
\(333\) | −4.31977 | + | 5.49303i | −0.236722 | + | 0.301016i | ||||
\(334\) | −2.01199 | − | 5.02570i | −0.110091 | − | 0.274994i | ||||
\(335\) | −4.64024 | + | 7.22035i | −0.253523 | + | 0.394490i | ||||
\(336\) | 0.320035 | + | 0.778244i | 0.0174593 | + | 0.0424567i | ||||
\(337\) | −24.7393 | + | 11.2981i | −1.34764 | + | 0.615445i | −0.952882 | − | 0.303342i | \(-0.901897\pi\) |
−0.394754 | + | 0.918787i | \(0.629170\pi\) | |||||||
\(338\) | 7.46861 | + | 3.85034i | 0.406239 | + | 0.209431i | ||||
\(339\) | −9.97564 | + | 9.51176i | −0.541802 | + | 0.516608i | ||||
\(340\) | −5.21329 | − | 15.0628i | −0.282730 | − | 0.816895i | ||||
\(341\) | −0.161786 | − | 0.154263i | −0.00876121 | − | 0.00835379i | ||||
\(342\) | 1.55229 | − | 3.39904i | 0.0839382 | − | 0.183799i | ||||
\(343\) | 12.5159 | + | 13.6511i | 0.675794 | + | 0.737090i | ||||
\(344\) | − | 2.39743i | − | 0.129261i | ||||||
\(345\) | 1.26908 | − | 14.0619i | 0.0683252 | − | 0.757066i | ||||
\(346\) | −13.4703 | − | 7.77710i | −0.724170 | − | 0.418100i | ||||
\(347\) | 12.0130 | + | 4.80929i | 0.644893 | + | 0.258176i | 0.670971 | − | 0.741484i | \(-0.265877\pi\) |
−0.0260776 | + | 0.999660i | \(0.508302\pi\) | |||||||
\(348\) | 0.465467 | + | 4.87459i | 0.0249516 | + | 0.261305i | ||||
\(349\) | 5.68512 | + | 19.3617i | 0.304317 | + | 1.03641i | 0.959680 | + | 0.281095i | \(0.0906977\pi\) |
−0.655363 | + | 0.755314i | \(0.727484\pi\) | |||||||
\(350\) | −4.10648 | − | 6.96153i | −0.219501 | − | 0.372109i | ||||
\(351\) | −1.63758 | − | 0.480838i | −0.0874078 | − | 0.0256652i | ||||
\(352\) | 0.155502 | − | 0.301632i | 0.00828830 | − | 0.0160771i | ||||
\(353\) | −2.05911 | + | 21.5639i | −0.109595 | + | 1.14773i | 0.758616 | + | 0.651538i | \(0.225876\pi\) |
−0.868211 | + | 0.496195i | \(0.834730\pi\) | |||||||
\(354\) | −7.75738 | + | 1.49511i | −0.412300 | + | 0.0794643i | ||||
\(355\) | −0.383772 | + | 8.05637i | −0.0203685 | + | 0.427587i | ||||
\(356\) | 0.441834 | − | 3.07303i | 0.0234172 | − | 0.162870i | ||||
\(357\) | 10.9497 | − | 0.624239i | 0.579522 | − | 0.0330382i | ||||
\(358\) | −10.1397 | − | 6.51637i | −0.535898 | − | 0.344401i | ||||
\(359\) | 30.3762 | + | 10.5133i | 1.60319 | + | 0.554871i | 0.974811 | − | 0.223033i | \(-0.0715957\pi\) |
0.628383 | + | 0.777904i | \(0.283717\pi\) | |||||||
\(360\) | 8.07117 | + | 0.770703i | 0.425388 | + | 0.0406196i | ||||
\(361\) | 0.0534000 | + | 1.12100i | 0.00281053 | + | 0.0590002i | ||||
\(362\) | 4.68623 | + | 19.3169i | 0.246303 | + | 1.01527i | ||||
\(363\) | 8.31063 | + | 7.20121i | 0.436195 | + | 0.377965i | ||||
\(364\) | 3.14203 | − | 4.99106i | 0.164687 | − | 0.261603i | ||||
\(365\) | −45.7352 | − | 20.8866i | −2.39389 | − | 1.09325i | ||||
\(366\) | 2.69672 | + | 3.42916i | 0.140960 | + | 0.179245i | ||||
\(367\) | −1.46614 | + | 2.53943i | −0.0765321 | + | 0.132557i | −0.901751 | − | 0.432255i | \(-0.857718\pi\) |
0.825219 | + | 0.564812i | \(0.191051\pi\) | |||||||
\(368\) | −1.27887 | + | 0.831298i | −0.0666658 | + | 0.0433344i | ||||
\(369\) | −6.11286 | + | 3.52926i | −0.318223 | + | 0.183726i | ||||
\(370\) | −16.9633 | + | 2.43895i | −0.881879 | + | 0.126795i | ||||
\(371\) | 1.75180 | + | 5.76612i | 0.0909488 | + | 0.299362i | ||||
\(372\) | −4.76562 | + | 1.39931i | −0.247086 | + | 0.0725510i | ||||
\(373\) | −2.06918 | + | 10.7359i | −0.107138 | + | 0.555884i | 0.888202 | + | 0.459454i | \(0.151955\pi\) |
−0.995340 | + | 0.0964306i | \(0.969257\pi\) | |||||||
\(374\) | −0.140077 | − | 0.146909i | −0.00724322 | − | 0.00759647i | ||||
\(375\) | −3.91915 | + | 0.186692i | −0.202384 | + | 0.00964074i | ||||
\(376\) | 11.0507 | + | 7.86919i | 0.569898 | + | 0.405822i | ||||
\(377\) | 4.83588 | − | 4.19032i | 0.249061 | − | 0.215812i | ||||
\(378\) | −0.799962 | + | 2.05364i | −0.0411456 | + | 0.105628i | ||||
\(379\) | 32.9167 | + | 4.73271i | 1.69082 | + | 0.243103i | 0.919428 | − | 0.393259i | \(-0.128652\pi\) |
0.771391 | + | 0.636362i | \(0.219561\pi\) | |||||||
\(380\) | −16.0130 | + | 6.41064i | −0.821450 | + | 0.328859i | ||||
\(381\) | 0.705095 | + | 1.36769i | 0.0361231 | + | 0.0700691i | ||||
\(382\) | −0.294186 | − | 1.52638i | −0.0150518 | − | 0.0780964i | ||||
\(383\) | −18.0575 | + | 25.3582i | −0.922693 | + | 1.29574i | 0.0324123 | + | 0.999475i | \(0.489681\pi\) |
−0.955105 | + | 0.296266i | \(0.904258\pi\) | |||||||
\(384\) | −4.36291 | − | 6.78883i | −0.222644 | − | 0.346441i | ||||
\(385\) | 0.375441 | + | 0.262096i | 0.0191342 | + | 0.0133576i | ||||
\(386\) | 11.0376 | − | 12.7381i | 0.561798 | − | 0.648350i | ||||
\(387\) | −0.600730 | + | 0.630027i | −0.0305368 | + | 0.0320261i | ||||
\(388\) | −6.00092 | − | 8.42712i | −0.304651 | − | 0.427822i | ||||
\(389\) | −10.9271 | + | 27.2945i | −0.554025 | + | 1.38389i | 0.341923 | + | 0.939728i | \(0.388922\pi\) |
−0.895948 | + | 0.444159i | \(0.853503\pi\) | |||||||
\(390\) | −2.09279 | − | 3.62481i | −0.105972 | − | 0.183549i | ||||
\(391\) | 4.78724 | + | 19.2953i | 0.242101 | + | 0.975807i | ||||
\(392\) | −15.3738 | − | 11.6316i | −0.776492 | − | 0.587482i | ||||
\(393\) | −2.77361 | − | 19.2909i | −0.139910 | − | 0.973097i | ||||
\(394\) | −5.02874 | + | 0.480186i | −0.253344 | + | 0.0241914i | ||||
\(395\) | 37.5121 | + | 9.10033i | 1.88744 | + | 0.457887i | ||||
\(396\) | −0.0725542 | + | 0.0251112i | −0.00364598 | + | 0.00126189i | ||||
\(397\) | −38.0364 | + | 9.22754i | −1.90899 | + | 0.463117i | −0.910192 | + | 0.414186i | \(0.864066\pi\) |
−0.998802 | + | 0.0489305i | \(0.984419\pi\) | |||||||
\(398\) | −11.1084 | + | 7.13892i | −0.556813 | + | 0.357842i | ||||
\(399\) | −1.23854 | − | 11.8035i | −0.0620046 | − | 0.590913i | ||||
\(400\) | −0.763810 | − | 0.881484i | −0.0381905 | − | 0.0440742i | ||||
\(401\) | −24.0548 | − | 1.14587i | −1.20124 | − | 0.0572222i | −0.562602 | − | 0.826728i | \(-0.690200\pi\) |
−0.638640 | + | 0.769506i | \(0.720503\pi\) | |||||||
\(402\) | 1.90895 | + | 1.50121i | 0.0952097 | + | 0.0748737i | ||||
\(403\) | 5.10175 | + | 4.01206i | 0.254136 | + | 0.199855i | ||||
\(404\) | −8.55642 | − | 0.407592i | −0.425698 | − | 0.0202785i | ||||
\(405\) | −1.92792 | − | 2.22494i | −0.0957993 | − | 0.110558i | ||||
\(406\) | −4.85571 | − | 6.68573i | −0.240985 | − | 0.331807i | ||||
\(407\) | 0.345577 | − | 0.222089i | 0.0171296 | − | 0.0110085i | ||||
\(408\) | −11.0945 | + | 2.69150i | −0.549260 | + | 0.133249i | ||||
\(409\) | 15.2765 | − | 5.28723i | 0.755372 | − | 0.261437i | 0.0778759 | − | 0.996963i | \(-0.475186\pi\) |
0.677496 | + | 0.735526i | \(0.263065\pi\) | |||||||
\(410\) | −16.8224 | − | 4.08108i | −0.830801 | − | 0.201550i | ||||
\(411\) | 9.32150 | − | 0.890095i | 0.459796 | − | 0.0439052i | ||||
\(412\) | −1.40305 | − | 9.75845i | −0.0691234 | − | 0.480764i | ||||
\(413\) | −18.8087 | + | 16.6082i | −0.925516 | + | 0.817236i | ||||
\(414\) | −3.92667 | − | 0.735673i | −0.192985 | − | 0.0361564i | ||||
\(415\) | −0.312676 | − | 0.541571i | −0.0153487 | − | 0.0265847i | ||||
\(416\) | −3.66193 | + | 9.14706i | −0.179541 | + | 0.448471i | ||||
\(417\) | 7.63517 | + | 10.7221i | 0.373896 | + | 0.525063i | ||||
\(418\) | −0.151582 | + | 0.158974i | −0.00741410 | + | 0.00777568i | ||||
\(419\) | 12.0928 | − | 13.9558i | 0.590771 | − | 0.681786i | −0.379114 | − | 0.925350i | \(-0.623771\pi\) |
0.969885 | + | 0.243564i | \(0.0783167\pi\) | |||||||
\(420\) | 9.21408 | − | 4.31247i | 0.449601 | − | 0.210427i | ||||
\(421\) | −20.6980 | − | 32.2067i | −1.00876 | − | 1.56966i | −0.807280 | − | 0.590168i | \(-0.799061\pi\) |
−0.201479 | − | 0.979493i | \(-0.564575\pi\) | |||||||
\(422\) | 0.829196 | − | 1.16444i | 0.0403646 | − | 0.0566842i | ||||
\(423\) | −0.932248 | − | 4.83696i | −0.0453275 | − | 0.235181i | ||||
\(424\) | −2.87443 | − | 5.57562i | −0.139595 | − | 0.270776i | ||||
\(425\) | −14.1131 | + | 5.65003i | −0.684586 | + | 0.274067i | ||||
\(426\) | 2.25891 | + | 0.324782i | 0.109445 | + | 0.0157357i | ||||
\(427\) | 12.9109 | + | 5.02924i | 0.624803 | + | 0.243382i | ||||
\(428\) | −0.162150 | + | 0.140504i | −0.00783782 | + | 0.00679151i | ||||
\(429\) | 0.0817242 | + | 0.0581956i | 0.00394568 | + | 0.00280971i | ||||
\(430\) | −2.13246 | + | 0.101582i | −0.102836 | + | 0.00489870i | ||||
\(431\) | −25.5927 | − | 26.8409i | −1.23276 | − | 1.29288i | −0.941812 | − | 0.336140i | \(-0.890878\pi\) |
−0.290947 | − | 0.956739i | \(-0.593970\pi\) | |||||||
\(432\) | −0.0601912 | + | 0.312301i | −0.00289595 | + | 0.0150256i | ||||
\(433\) | 25.3539 | − | 7.44456i | 1.21843 | − | 0.357763i | 0.391557 | − | 0.920154i | \(-0.371937\pi\) |
0.826871 | + | 0.562391i | \(0.190118\pi\) | |||||||
\(434\) | 5.72673 | − | 6.11955i | 0.274892 | − | 0.293748i | ||||
\(435\) | 10.9253 | − | 1.57082i | 0.523829 | − | 0.0753152i | ||||
\(436\) | −12.5875 | + | 7.26737i | −0.602830 | + | 0.348044i | ||||
\(437\) | 20.6099 | − | 6.16806i | 0.985905 | − | 0.295058i | ||||
\(438\) | −7.11321 | + | 12.3204i | −0.339882 | + | 0.588693i | ||||
\(439\) | −1.94284 | − | 2.47052i | −0.0927267 | − | 0.117912i | 0.737476 | − | 0.675374i | \(-0.236018\pi\) |
−0.830202 | + | 0.557462i | \(0.811775\pi\) | |||||||
\(440\) | −0.433541 | − | 0.197992i | −0.0206683 | − | 0.00943888i | ||||
\(441\) | 1.12556 | + | 6.90892i | 0.0535981 | + | 0.328996i | ||||
\(442\) | 4.45401 | + | 3.85942i | 0.211856 | + | 0.183574i | ||||
\(443\) | 0.523501 | + | 2.15790i | 0.0248723 | + | 0.102525i | 0.982895 | − | 0.184168i | \(-0.0589591\pi\) |
−0.958022 | + | 0.286693i | \(0.907444\pi\) | |||||||
\(444\) | −0.434285 | − | 9.11677i | −0.0206103 | − | 0.432663i | ||||
\(445\) | −6.96637 | − | 0.665208i | −0.330238 | − | 0.0315339i | ||||
\(446\) | 2.69578 | + | 0.933018i | 0.127649 | + | 0.0441797i | ||||
\(447\) | −7.42560 | − | 4.77214i | −0.351219 | − | 0.225715i | ||||
\(448\) | 9.85992 | + | 4.96703i | 0.465837 | + | 0.234670i | ||||
\(449\) | −2.03936 | + | 14.1841i | −0.0962433 | + | 0.669387i | 0.883397 | + | 0.468626i | \(0.155251\pi\) |
−0.979640 | + | 0.200761i | \(0.935658\pi\) | |||||||
\(450\) | 0.145357 | − | 3.05142i | 0.00685220 | − | 0.143845i | ||||
\(451\) | 0.407428 | − | 0.0785253i | 0.0191850 | − | 0.00369761i | ||||
\(452\) | 1.71125 | − | 17.9211i | 0.0804906 | − | 0.842936i | ||||
\(453\) | 4.65043 | − | 9.02057i | 0.218496 | − | 0.423823i | ||||
\(454\) | 1.86276 | + | 0.546954i | 0.0874234 | + | 0.0256698i | ||||
\(455\) | −11.5745 | − | 6.53904i | −0.542620 | − | 0.306555i | ||||
\(456\) | 3.48050 | + | 11.8535i | 0.162989 | + | 0.555091i | ||||
\(457\) | 0.793608 | + | 8.31104i | 0.0371234 | + | 0.388774i | 0.994870 | + | 0.101161i | \(0.0322557\pi\) |
−0.957747 | + | 0.287613i | \(0.907138\pi\) | |||||||
\(458\) | 6.13401 | + | 2.45569i | 0.286623 | + | 0.114747i | ||||
\(459\) | 3.58996 | + | 2.07267i | 0.167565 | + | 0.0967438i | ||||
\(460\) | 10.7745 | + | 14.9656i | 0.502366 | + | 0.697775i | ||||
\(461\) | − | 3.37678i | − | 0.157272i | −0.996903 | − | 0.0786361i | \(-0.974943\pi\) | ||
0.996903 | − | 0.0786361i | \(-0.0250565\pi\) | |||||||
\(462\) | 0.0839223 | − | 0.0987008i | 0.00390442 | − | 0.00459198i | ||||
\(463\) | 10.3997 | − | 22.7721i | 0.483315 | − | 1.05831i | −0.498224 | − | 0.867048i | \(-0.666014\pi\) |
0.981539 | − | 0.191263i | \(-0.0612583\pi\) | |||||||
\(464\) | −0.862996 | − | 0.822865i | −0.0400636 | − | 0.0382006i | ||||
\(465\) | 3.66171 | + | 10.5798i | 0.169808 | + | 0.490627i | ||||
\(466\) | 12.9455 | − | 12.3435i | 0.599690 | − | 0.571803i | ||||
\(467\) | 3.75105 | + | 1.93380i | 0.173578 | + | 0.0894855i | 0.542826 | − | 0.839845i | \(-0.317354\pi\) |
−0.369248 | + | 0.929331i | \(0.620385\pi\) | |||||||
\(468\) | 2.02769 | − | 0.926013i | 0.0937298 | − | 0.0428050i | ||||
\(469\) | 7.64471 | + | 1.02630i | 0.353000 | + | 0.0473901i | ||||
\(470\) | 6.53122 | − | 10.1628i | 0.301263 | − | 0.468774i | ||||
\(471\) | −6.20513 | − | 15.4997i | −0.285917 | − | 0.714187i | ||||
\(472\) | 16.1454 | − | 20.5306i | 0.743154 | − | 0.944997i | ||||
\(473\) | 0.0454840 | − | 0.0234487i | 0.00209136 | − | 0.00107817i | ||||
\(474\) | 3.57222 | − | 10.3212i | 0.164077 | − | 0.474070i | ||||
\(475\) | 6.83382 | + | 14.9640i | 0.313557 | + | 0.686594i | ||||
\(476\) | −10.2743 | + | 9.98156i | −0.470923 | + | 0.457504i | ||||
\(477\) | −0.641716 | + | 2.18548i | −0.0293821 | + | 0.100066i | ||||
\(478\) | 24.2468 | + | 4.67320i | 1.10902 | + | 0.213747i | ||||
\(479\) | −5.68492 | + | 23.4335i | −0.259750 | + | 1.07071i | 0.681183 | + | 0.732113i | \(0.261466\pi\) |
−0.940933 | + | 0.338592i | \(0.890049\pi\) | |||||||
\(480\) | −13.8443 | + | 9.85850i | −0.631904 | + | 0.449977i | ||||
\(481\) | −9.37506 | + | 7.37263i | −0.427466 | + | 0.336163i | ||||
\(482\) | 17.7018 | 0.806296 | ||||||||
\(483\) | −11.9291 | + | 4.32395i | −0.542793 | + | 0.196746i | ||||
\(484\) | −14.3625 | −0.652840 | ||||||||
\(485\) | −18.3302 | + | 14.4150i | −0.832332 | + | 0.654553i | ||||
\(486\) | −0.678552 | + | 0.483195i | −0.0307798 | + | 0.0219182i | ||||
\(487\) | −7.81111 | + | 32.1978i | −0.353955 | + | 1.45902i | 0.465075 | + | 0.885271i | \(0.346027\pi\) |
−0.819030 | + | 0.573751i | \(0.805488\pi\) | |||||||
\(488\) | −14.1622 | − | 2.72954i | −0.641093 | − | 0.123561i | ||||
\(489\) | 1.11641 | − | 3.80214i | 0.0504858 | − | 0.171939i | ||||
\(490\) | −9.69459 | + | 14.1674i | −0.437957 | + | 0.640019i | ||||
\(491\) | 3.85553 | + | 8.44243i | 0.173998 | + | 0.381002i | 0.976459 | − | 0.215702i | \(-0.0692040\pi\) |
−0.802462 | + | 0.596704i | \(0.796477\pi\) | |||||||
\(492\) | 3.01526 | − | 8.71202i | 0.135938 | − | 0.392768i | ||||
\(493\) | −13.8139 | + | 7.12157i | −0.622148 | + | 0.320739i | ||||
\(494\) | 3.94233 | − | 5.01307i | 0.177374 | − | 0.225549i | ||||
\(495\) | 0.0643201 | + | 0.160664i | 0.00289098 | + | 0.00722131i | ||||
\(496\) | 0.653895 | − | 1.01748i | 0.0293607 | − | 0.0456862i | ||||
\(497\) | 6.70366 | − | 2.75672i | 0.300700 | − | 0.123656i | ||||
\(498\) | −0.160954 | + | 0.0735051i | −0.00721251 | + | 0.00329384i | ||||
\(499\) | −33.2189 | − | 17.1256i | −1.48708 | − | 0.766645i | −0.492474 | − | 0.870327i | \(-0.663907\pi\) |
−0.994610 | + | 0.103682i | \(0.966937\pi\) | |||||||
\(500\) | 3.70882 | − | 3.53635i | 0.165864 | − | 0.158151i | ||||
\(501\) | −2.12551 | − | 6.14125i | −0.0949607 | − | 0.274371i | ||||
\(502\) | −9.65739 | − | 9.20830i | −0.431030 | − | 0.410987i | ||||
\(503\) | 1.40361 | − | 3.07347i | 0.0625838 | − | 0.137039i | −0.875756 | − | 0.482754i | \(-0.839636\pi\) |
0.938340 | + | 0.345715i | \(0.112364\pi\) | |||||||
\(504\) | −2.44742 | − | 6.86311i | −0.109017 | − | 0.305707i | ||||
\(505\) | 19.3087i | 0.859224i | ||||||||
\(506\) | 0.203985 | + | 0.116362i | 0.00906823 | + | 0.00517294i | ||||
\(507\) | 8.73569 | + | 5.04356i | 0.387966 | + | 0.223992i | ||||
\(508\) | −1.86578 | − | 0.746946i | −0.0827806 | − | 0.0331404i | ||||
\(509\) | 0.965977 | + | 10.1162i | 0.0428162 | + | 0.448391i | 0.991305 | + | 0.131582i | \(0.0420056\pi\) |
−0.948489 | + | 0.316810i | \(0.897388\pi\) | |||||||
\(510\) | 2.86411 | + | 9.75426i | 0.126825 | + | 0.431926i | ||||
\(511\) | 0.422377 | + | 45.1829i | 0.0186849 | + | 1.99877i | ||||
\(512\) | 3.44257 | + | 1.01083i | 0.152142 | + | 0.0446728i | ||||
\(513\) | 2.05551 | − | 3.98713i | 0.0907528 | − | 0.176036i | ||||
\(514\) | 2.07945 | − | 21.7770i | 0.0917207 | − | 0.960543i | ||||
\(515\) | −21.8209 | + | 4.20563i | −0.961542 | + | 0.185322i | ||||
\(516\) | 0.0540998 | − | 1.13569i | 0.00238161 | − | 0.0499961i | ||||
\(517\) | −0.0412098 | + | 0.286620i | −0.00181240 | + | 0.0126055i | ||||
\(518\) | 8.44739 | + | 12.8781i | 0.371157 | + | 0.565831i | ||||
\(519\) | −15.7081 | − | 10.0950i | −0.689508 | − | 0.443120i | ||||
\(520\) | 13.0768 | + | 4.52593i | 0.573456 | + | 0.198475i | ||||
\(521\) | −19.6227 | − | 1.87374i | −0.859686 | − | 0.0820900i | −0.344105 | − | 0.938931i | \(-0.611818\pi\) |
−0.515581 | + | 0.856841i | \(0.672424\pi\) | |||||||
\(522\) | −0.148604 | − | 3.11958i | −0.00650421 | − | 0.136540i | ||||
\(523\) | 5.97798 | + | 24.6416i | 0.261399 | + | 1.07750i | 0.939505 | + | 0.342536i | \(0.111286\pi\) |
−0.678106 | + | 0.734964i | \(0.737199\pi\) | |||||||
\(524\) | 19.2374 | + | 16.6693i | 0.840389 | + | 0.728202i | ||||
\(525\) | −4.52645 | − | 8.58215i | −0.197550 | − | 0.374556i | ||||
\(526\) | −5.63726 | − | 2.57445i | −0.245796 | − | 0.112251i | ||||
\(527\) | −9.74461 | − | 12.3913i | −0.424482 | − | 0.539773i | ||||
\(528\) | 0.00934805 | − | 0.0161913i | 0.000406822 | − | 0.000704636i | ||||
\(529\) | −11.7063 | − | 19.7981i | −0.508969 | − | 0.860785i | ||||
\(530\) | −4.83759 | + | 2.79298i | −0.210132 | + | 0.121319i | ||||
\(531\) | −9.38729 | + | 1.34969i | −0.407374 | + | 0.0585715i | ||||
\(532\) | 11.3181 | + | 10.5916i | 0.490703 | + | 0.459204i | ||||
\(533\) | −11.5589 | + | 3.39401i | −0.500673 | + | 0.147011i | ||||
\(534\) | −0.374737 | + | 1.94432i | −0.0162165 | + | 0.0841390i | ||||
\(535\) | 0.333738 | + | 0.350015i | 0.0144288 | + | 0.0151325i | ||||
\(536\) | −8.01982 | + | 0.382031i | −0.346404 | + | 0.0165012i | ||||
\(537\) | −11.7863 | − | 8.39298i | −0.508616 | − | 0.362184i | ||||
\(538\) | 19.1856 | − | 16.6244i | 0.827150 | − | 0.716729i | ||||
\(539\) | 0.0703071 | − | 0.405435i | 0.00302834 | − | 0.0174633i | ||||
\(540\) | 3.80602 | + | 0.547223i | 0.163785 | + | 0.0235487i | ||||
\(541\) | −16.4574 | + | 6.58853i | −0.707557 | + | 0.283263i | −0.697397 | − | 0.716685i | \(-0.745658\pi\) |
−0.0101604 | + | 0.999948i | \(0.503234\pi\) | |||||||
\(542\) | −6.78200 | − | 13.1552i | −0.291312 | − | 0.565066i | ||||
\(543\) | 4.51588 | + | 23.4306i | 0.193795 | + | 1.00550i | ||||
\(544\) | 13.8813 | − | 19.4935i | 0.595155 | − | 0.835778i | ||||
\(545\) | 17.7127 | + | 27.5615i | 0.758728 | + | 1.18060i | ||||
\(546\) | −2.15316 | + | 3.08430i | −0.0921465 | + | 0.131996i | ||||
\(547\) | 20.5816 | − | 23.7524i | 0.880005 | − | 1.01558i | −0.119736 | − | 0.992806i | \(-0.538205\pi\) |
0.999741 | − | 0.0227741i | \(-0.00724983\pi\) | |||||||
\(548\) | −8.43973 | + | 8.85133i | −0.360527 | + | 0.378110i | ||||
\(549\) | 3.03777 | + | 4.26596i | 0.129649 | + | 0.182067i | ||||
\(550\) | −0.0667422 | + | 0.166714i | −0.00284590 | + | 0.00710870i | ||||
\(551\) | 8.40900 | + | 14.5648i | 0.358236 | + | 0.620482i | ||||
\(552\) | 11.4038 | − | 6.66321i | 0.485379 | − | 0.283605i | ||||
\(553\) | −6.88314 | − | 33.9997i | −0.292701 | − | 1.44581i | ||||
\(554\) | −3.58603 | − | 24.9414i | −0.152356 | − | 1.05966i | ||||
\(555\) | −20.4800 | + | 1.95560i | −0.869328 | + | 0.0830108i | ||||
\(556\) | −16.7072 | − | 4.05312i | −0.708542 | − | 0.171890i | ||||
\(557\) | 34.8881 | − | 12.0749i | 1.47826 | − | 0.511630i | 0.535335 | − | 0.844640i | \(-0.320185\pi\) |
0.942923 | + | 0.333010i | \(0.108064\pi\) | |||||||
\(558\) | 3.07850 | − | 0.746835i | 0.130323 | − | 0.0316161i | ||||
\(559\) | −1.24988 | + | 0.803251i | −0.0528644 | + | 0.0339739i | ||||
\(560\) | −1.00801 | + | 2.26298i | −0.0425962 | + | 0.0956284i | ||||
\(561\) | −0.159575 | − | 0.184160i | −0.00673727 | − | 0.00777523i | ||||
\(562\) | 8.17770 | + | 0.389552i | 0.344956 | + | 0.0164323i | ||||
\(563\) | −2.53306 | − | 1.99202i | −0.106756 | − | 0.0839538i | 0.563354 | − | 0.826216i | \(-0.309511\pi\) |
−0.670110 | + | 0.742262i | \(0.733753\pi\) | |||||||
\(564\) | 5.05729 | + | 3.97710i | 0.212950 | + | 0.167466i | ||||
\(565\) | −40.5332 | − | 1.93083i | −1.70524 | − | 0.0812308i | ||||
\(566\) | 8.96902 | + | 10.3508i | 0.376996 | + | 0.435077i | ||||
\(567\) | −1.07654 | + | 2.41683i | −0.0452104 | + | 0.101497i | ||||
\(568\) | −6.34722 | + | 4.07911i | −0.266323 | + | 0.171156i | ||||
\(569\) | 16.4184 | − | 3.98307i | 0.688296 | − | 0.166979i | 0.123667 | − | 0.992324i | \(-0.460534\pi\) |
0.564629 | + | 0.825345i | \(0.309019\pi\) | |||||||
\(570\) | 10.3959 | − | 3.59807i | 0.435438 | − | 0.150706i | ||||
\(571\) | −13.0584 | − | 3.16794i | −0.546479 | − | 0.132574i | −0.0469910 | − | 0.998895i | \(-0.514963\pi\) |
−0.499488 | + | 0.866321i | \(0.666478\pi\) | |||||||
\(572\) | −0.130443 | + | 0.0124558i | −0.00545410 | + | 0.000520803i | ||||
\(573\) | −0.265571 | − | 1.84709i | −0.0110944 | − | 0.0771632i | ||||
\(574\) | 3.08677 | + | 15.2473i | 0.128839 | + | 0.636409i | ||||
\(575\) | 13.7681 | − | 10.9436i | 0.574171 | − | 0.456379i | ||||
\(576\) | 2.08643 | + | 3.61380i | 0.0869346 | + | 0.150575i | ||||
\(577\) | −10.3093 | + | 25.7515i | −0.429184 | + | 1.07205i | 0.543396 | + | 0.839477i | \(0.317138\pi\) |
−0.972579 | + | 0.232572i | \(0.925286\pi\) | |||||||
\(578\) | −0.0888083 | − | 0.124714i | −0.00369394 | − | 0.00518741i | ||||
\(579\) | 13.9628 | − | 14.6438i | 0.580274 | − | 0.608574i | ||||
\(580\) | −9.44059 | + | 10.8950i | −0.391999 | + | 0.452391i | ||||
\(581\) | −0.321696 | + | 0.460815i | −0.0133462 | + | 0.0191178i | ||||
\(582\) | 3.56726 | + | 5.55077i | 0.147868 | + | 0.230087i | ||||
\(583\) | 0.0776665 | − | 0.109067i | 0.00321662 | − | 0.00451711i | ||||
\(584\) | −8.90121 | − | 46.1838i | −0.368335 | − | 1.91110i | ||||
\(585\) | −2.30241 | − | 4.46606i | −0.0951931 | − | 0.184649i | ||||
\(586\) | −20.2931 | + | 8.12413i | −0.838300 | + | 0.335605i | ||||
\(587\) | −14.6304 | − | 2.10353i | −0.603861 | − | 0.0868221i | −0.166398 | − | 0.986059i | \(-0.553214\pi\) |
−0.437463 | + | 0.899237i | \(0.644123\pi\) | |||||||
\(588\) | −7.02026 | − | 5.85693i | −0.289511 | − | 0.241536i | ||||
\(589\) | −12.8920 | + | 11.1710i | −0.531207 | + | 0.460293i | ||||
\(590\) | −18.9456 | − | 13.4911i | −0.779977 | − | 0.555419i | ||||
\(591\) | −6.05740 | + | 0.288550i | −0.249168 | + | 0.0118693i | ||||
\(592\) | 1.53374 | + | 1.60854i | 0.0630365 | + | 0.0661108i | ||||
\(593\) | 4.91402 | − | 25.4964i | 0.201795 | − | 1.04701i | −0.729841 | − | 0.683617i | \(-0.760406\pi\) |
0.931636 | − | 0.363393i | \(-0.118382\pi\) | |||||||
\(594\) | 0.0469841 | − | 0.0137958i | 0.00192778 | − | 0.000566047i | ||||
\(595\) | 23.5756 | + | 22.0623i | 0.966507 | + | 0.904466i | ||||
\(596\) | 11.4113 | − | 1.64069i | 0.467424 | − | 0.0672055i | ||||
\(597\) | −13.7279 | + | 7.92578i | −0.561844 | + | 0.324381i | ||||
\(598\) | −6.21679 | − | 2.80018i | −0.254224 | − | 0.114508i | ||||
\(599\) | 7.83233 | − | 13.5660i | 0.320020 | − | 0.554291i | −0.660472 | − | 0.750851i | \(-0.729644\pi\) |
0.980492 | + | 0.196560i | \(0.0629770\pi\) | |||||||
\(600\) | 6.24323 | + | 7.93891i | 0.254879 | + | 0.324105i | ||||
\(601\) | −22.0829 | − | 10.0849i | −0.900780 | − | 0.411373i | −0.0894709 | − | 0.995989i | \(-0.528518\pi\) |
−0.811310 | + | 0.584617i | \(0.801245\pi\) | |||||||
\(602\) | 0.895049 | + | 1.69701i | 0.0364795 | + | 0.0691651i | ||||
\(603\) | 2.20327 | + | 1.90915i | 0.0897242 | + | 0.0777465i | ||||
\(604\) | 3.12503 | + | 12.8815i | 0.127155 | + | 0.524142i | ||||
\(605\) | 1.54042 | + | 32.3374i | 0.0626270 | + | 1.31470i | ||||
\(606\) | 5.43866 | + | 0.519329i | 0.220930 | + | 0.0210963i | ||||
\(607\) | −31.5973 | − | 10.9359i | −1.28250 | − | 0.443876i | −0.401005 | − | 0.916076i | \(-0.631339\pi\) |
−0.881492 | + | 0.472199i | \(0.843460\pi\) | |||||||
\(608\) | −21.7854 | − | 14.0006i | −0.883513 | − | 0.567799i | ||||
\(609\) | −5.44060 | − | 8.29423i | −0.220464 | − | 0.336099i | ||||
\(610\) | −1.82780 | + | 12.7126i | −0.0740053 | + | 0.514718i | ||||
\(611\) | 0.400034 | − | 8.39775i | 0.0161836 | − | 0.339736i | ||||
\(612\) | −5.31634 | + | 1.02464i | −0.214900 | + | 0.0414186i | ||||
\(613\) | −3.18139 | + | 33.3170i | −0.128495 | + | 1.34566i | 0.669416 | + | 0.742887i | \(0.266544\pi\) |
−0.797911 | + | 0.602775i | \(0.794062\pi\) | |||||||
\(614\) | 7.13856 | − | 13.8469i | 0.288089 | − | 0.558814i | ||||
\(615\) | −19.9387 | − | 5.85453i | −0.804006 | − | 0.236077i | ||||
\(616\) | 0.00400387 | + | 0.428305i | 0.000161320 | + | 0.0172569i | ||||
\(617\) | −1.94477 | − | 6.62328i | −0.0782935 | − | 0.266643i | 0.911039 | − | 0.412321i | \(-0.135282\pi\) |
−0.989332 | + | 0.145678i | \(0.953464\pi\) | |||||||
\(618\) | 0.597699 | + | 6.25938i | 0.0240430 | + | 0.251789i | ||||
\(619\) | −8.08274 | − | 3.23584i | −0.324873 | − | 0.130059i | 0.203493 | − | 0.979076i | \(-0.434771\pi\) |
−0.528366 | + | 0.849017i | \(0.677195\pi\) | |||||||
\(620\) | −12.6634 | − | 7.31121i | −0.508574 | − | 0.293625i | ||||
\(621\) | −4.66645 | − | 1.10644i | −0.187258 | − | 0.0443999i | ||||
\(622\) | 20.8491i | 0.835974i | ||||||||
\(623\) | 2.11241 | + | 5.92368i | 0.0846321 | + | 0.237327i | ||||
\(624\) | −0.225496 | + | 0.493767i | −0.00902705 | + | 0.0197665i | ||||
\(625\) | −21.6306 | − | 20.6247i | −0.865224 | − | 0.824989i | ||||
\(626\) | −3.69310 | − | 10.6705i | −0.147606 | − | 0.426479i | ||||
\(627\) | −0.190842 | + | 0.181968i | −0.00762151 | + | 0.00726709i | ||||
\(628\) | 19.3819 | + | 9.99206i | 0.773422 | + | 0.398727i | ||||
\(629\) | 26.3503 | − | 12.0338i | 1.05065 | − | 0.479818i | ||||
\(630\) | −6.00088 | + | 2.46772i | −0.239081 | + | 0.0983163i | ||||
\(631\) | 22.2150 | − | 34.5671i | 0.884363 | − | 1.37610i | −0.0418607 | − | 0.999123i | \(-0.513329\pi\) |
0.926224 | − | 0.376973i | \(-0.123035\pi\) | |||||||
\(632\) | 13.4203 | + | 33.5223i | 0.533832 | + | 1.33345i | ||||
\(633\) | 1.06080 | − | 1.34892i | 0.0421632 | − | 0.0536148i | ||||
\(634\) | 20.6923 | − | 10.6676i | 0.821797 | − | 0.423666i | ||||
\(635\) | −1.48165 | + | 4.28095i | −0.0587976 | + | 0.169885i | ||||
\(636\) | −1.23584 | − | 2.70610i | −0.0490041 | − | 0.107304i | ||||
\(637\) | −0.913104 | + | 11.9121i | −0.0361785 | + | 0.471974i | ||||
\(638\) | −0.0517228 | + | 0.176152i | −0.00204773 | + | 0.00697391i | ||||
\(639\) | 2.69011 | + | 0.518476i | 0.106419 | + | 0.0205106i | ||||
\(640\) | 5.60115 | − | 23.0882i | 0.221405 | − | 0.912643i | ||||
\(641\) | 20.1426 | − | 14.3435i | 0.795586 | − | 0.566534i | −0.108394 | − | 0.994108i | \(-0.534571\pi\) |
0.903981 | + | 0.427574i | \(0.140632\pi\) | |||||||
\(642\) | 0.107565 | − | 0.0845898i | 0.00424524 | − | 0.00333849i | ||||
\(643\) | −9.58655 | −0.378057 | −0.189028 | − | 0.981972i | \(-0.560534\pi\) | ||||
−0.189028 | + | 0.981972i | \(0.560534\pi\) | |||||||
\(644\) | 8.07664 | − | 14.4711i | 0.318264 | − | 0.570242i | ||||
\(645\) | −2.56284 | −0.100912 | ||||||||
\(646\) | −12.1759 | + | 9.57525i | −0.479055 | + | 0.376733i | ||||
\(647\) | 11.7255 | − | 8.34967i | 0.460976 | − | 0.328259i | −0.325864 | − | 0.945417i | \(-0.605655\pi\) |
0.786840 | + | 0.617157i | \(0.211716\pi\) | |||||||
\(648\) | 0.649284 | − | 2.67638i | 0.0255063 | − | 0.105138i | ||||
\(649\) | 0.547420 | + | 0.105507i | 0.0214881 | + | 0.00414149i | ||||
\(650\) | 1.46890 | − | 5.00263i | 0.0576151 | − | 0.196219i | ||||
\(651\) | 7.21648 | − | 7.01085i | 0.282836 | − | 0.274777i | ||||
\(652\) | 2.15002 | + | 4.70788i | 0.0842011 | + | 0.184375i | ||||
\(653\) | 8.21202 | − | 23.7271i | 0.321361 | − | 0.928512i | −0.662419 | − | 0.749133i | \(-0.730470\pi\) |
0.983780 | − | 0.179378i | \(-0.0574086\pi\) | |||||||
\(654\) | 8.23963 | − | 4.24782i | 0.322195 | − | 0.166103i | ||||
\(655\) | 35.4680 | − | 45.1012i | 1.38585 | − | 1.76225i | ||||
\(656\) | 0.834366 | + | 2.08415i | 0.0325765 | + | 0.0813722i | ||||
\(657\) | −9.23321 | + | 14.3672i | −0.360222 | + | 0.560516i | ||||
\(658\) | −10.7601 | − | 1.44454i | −0.419471 | − | 0.0563138i | ||||
\(659\) | 20.5255 | − | 9.37366i | 0.799558 | − | 0.365146i | 0.0266346 | − | 0.999645i | \(-0.491521\pi\) |
0.772923 | + | 0.634499i | \(0.218794\pi\) | |||||||
\(660\) | −0.200906 | − | 0.103574i | −0.00782025 | − | 0.00403162i | ||||
\(661\) | −20.2288 | + | 19.2881i | −0.786810 | + | 0.750222i | −0.972629 | − | 0.232362i | \(-0.925355\pi\) |
0.185820 | + | 0.982584i | \(0.440506\pi\) | |||||||
\(662\) | −5.21181 | − | 15.0585i | −0.202563 | − | 0.585267i | ||||
\(663\) | 5.12036 | + | 4.88225i | 0.198858 | + | 0.189611i | ||||
\(664\) | 0.243015 | − | 0.532128i | 0.00943080 | − | 0.0206506i | ||||
\(665\) | 22.6333 | − | 26.6190i | 0.877682 | − | 1.03224i | ||||
\(666\) | 5.82119i | 0.225567i | ||||||||
\(667\) | 12.9484 | − | 12.4753i | 0.501365 | − | 0.483047i | ||||
\(668\) | 7.35069 | + | 4.24392i | 0.284407 | + | 0.164202i | ||||
\(669\) | 3.17922 | + | 1.27277i | 0.122916 | + | 0.0492080i | ||||
\(670\) | 0.679615 | + | 7.11725i | 0.0262558 | + | 0.274963i | ||||
\(671\) | −0.0867319 | − | 0.295382i | −0.00334825 | − | 0.0114031i | ||||
\(672\) | 13.2983 | + | 7.51294i | 0.512995 | + | 0.289818i | ||||
\(673\) | −9.10512 | − | 2.67351i | −0.350977 | − | 0.103056i | 0.101492 | − | 0.994836i | \(-0.467638\pi\) |
−0.452469 | + | 0.891780i | \(0.649457\pi\) | |||||||
\(674\) | −10.3813 | + | 20.1370i | −0.399875 | + | 0.775648i | ||||
\(675\) | 0.348596 | − | 3.65066i | 0.0134175 | − | 0.140514i | ||||
\(676\) | −12.9366 | + | 2.49332i | −0.497561 | + | 0.0958970i | ||||
\(677\) | −0.00911624 | + | 0.191373i | −0.000350365 | + | 0.00735508i | −0.999036 | − | 0.0439041i | \(-0.986020\pi\) |
0.998685 | + | 0.0512591i | \(0.0163234\pi\) | |||||||
\(678\) | −1.63404 | + | 11.3650i | −0.0627551 | + | 0.436471i | ||||
\(679\) | 18.7160 | + | 9.42839i | 0.718256 | + | 0.361828i | ||||
\(680\) | −28.2744 | − | 18.1709i | −1.08427 | − | 0.696821i | ||||
\(681\) | 2.20239 | + | 0.762255i | 0.0843958 | + | 0.0292097i | ||||
\(682\) | −0.185371 | − | 0.0177008i | −0.00709824 | − | 0.000677800i | ||||
\(683\) | 0.565967 | + | 11.8811i | 0.0216561 | + | 0.454618i | 0.983488 | + | 0.180976i | \(0.0579255\pi\) |
−0.961831 | + | 0.273643i | \(0.911771\pi\) | |||||||
\(684\) | 1.38127 | + | 5.69369i | 0.0528143 | + | 0.217704i | ||||
\(685\) | 20.8341 | + | 18.0529i | 0.796032 | + | 0.689766i | ||||
\(686\) | 15.2247 | + | 2.49377i | 0.581283 | + | 0.0952127i | ||||
\(687\) | 7.21503 | + | 3.29499i | 0.275271 | + | 0.125712i | ||||
\(688\) | 0.171149 | + | 0.217634i | 0.00652500 | + | 0.00829721i | ||||
\(689\) | −1.94374 | + | 3.36665i | −0.0740505 | + | 0.128259i | ||||
\(690\) | −6.40996 | − | 9.86111i | −0.244023 | − | 0.375406i | ||||
\(691\) | −13.8451 | + | 7.99349i | −0.526694 | + | 0.304087i | −0.739669 | − | 0.672971i | \(-0.765018\pi\) |
0.212975 | + | 0.977058i | \(0.431685\pi\) | |||||||
\(692\) | 24.1394 | − | 3.47072i | 0.917641 | − | 0.131937i | ||||
\(693\) | 0.106269 | − | 0.113559i | 0.00403683 | − | 0.00431374i | ||||
\(694\) | 10.3425 | − | 3.03684i | 0.392596 | − | 0.115277i | ||||
\(695\) | −7.33378 | + | 38.0513i | −0.278186 | + | 1.44337i | ||||
\(696\) | 7.12527 | + | 7.47277i | 0.270083 | + | 0.283254i | ||||
\(697\) | 29.2268 | − | 1.39224i | 1.10704 | − | 0.0527350i | ||||
\(698\) | 13.6926 | + | 9.75045i | 0.518272 | + | 0.369060i | ||||
\(699\) | 16.2281 | − | 14.0617i | 0.613802 | − | 0.531863i | ||||
\(700\) | 11.8083 | + | 4.59974i | 0.446312 | + | 0.173854i | ||||
\(701\) | 31.2400 | + | 4.49163i | 1.17992 | + | 0.169646i | 0.704233 | − | 0.709969i | \(-0.251291\pi\) |
0.475685 | + | 0.879616i | \(0.342200\pi\) | |||||||
\(702\) | −1.31988 | + | 0.528400i | −0.0498156 | + | 0.0199432i | ||||
\(703\) | −14.3641 | − | 27.8625i | −0.541753 | − | 1.05085i | ||||
\(704\) | −0.0464226 | − | 0.240863i | −0.00174962 | − | 0.00907788i | ||||
\(705\) | 8.41210 | − | 11.8131i | 0.316818 | − | 0.444909i | ||||
\(706\) | 9.75572 | + | 15.1802i | 0.367162 | + | 0.571314i | ||||
\(707\) | 15.7162 | − | 7.35569i | 0.591070 | − | 0.276639i | ||||
\(708\) | 8.11158 | − | 9.36126i | 0.304852 | − | 0.351818i | ||||
\(709\) | −26.8499 | + | 28.1594i | −1.00837 | + | 1.05755i | −0.0100295 | + | 0.999950i | \(0.503193\pi\) |
−0.998340 | + | 0.0575977i | \(0.981656\pi\) | |||||||
\(710\) | 3.89721 | + | 5.47286i | 0.146260 | + | 0.205393i | ||||
\(711\) | 4.87300 | − | 12.1722i | 0.182752 | − | 0.456492i | ||||
\(712\) | −3.27320 | − | 5.66935i | −0.122668 | − | 0.212468i | ||||
\(713\) | 14.9107 | + | 10.5016i | 0.558410 | + | 0.393287i | ||||
\(714\) | 6.84837 | − | 6.04715i | 0.256294 | − | 0.226309i | ||||
\(715\) | 0.0420349 | + | 0.292359i | 0.00157202 | + | 0.0109336i | ||||
\(716\) | 18.8125 | − | 1.79638i | 0.703057 | − | 0.0671338i | ||||
\(717\) | 28.8075 | + | 6.98862i | 1.07584 | + | 0.260995i | ||||
\(718\) | 25.3038 | − | 8.75772i | 0.944328 | − | 0.326835i | ||||
\(719\) | 11.6131 | − | 2.81731i | 0.433095 | − | 0.105068i | −0.0132838 | − | 0.999912i | \(-0.504228\pi\) |
0.446379 | + | 0.894844i | \(0.352713\pi\) | |||||||
\(720\) | −0.787702 | + | 0.506225i | −0.0293559 | + | 0.0188659i | ||||
\(721\) | 11.7359 | + | 16.1589i | 0.437067 | + | 0.601789i | ||||
\(722\) | 0.612209 | + | 0.706527i | 0.0227841 | + | 0.0262942i | ||||
\(723\) | 21.2263 | + | 1.01113i | 0.789414 | + | 0.0376044i | ||||
\(724\) | −24.4979 | − | 19.2653i | −0.910456 | − | 0.715990i | ||||
\(725\) | 10.8076 | + | 8.49921i | 0.401385 | + | 0.315653i | ||||
\(726\) | 9.14989 | + | 0.435863i | 0.339584 | + | 0.0161764i | ||||
\(727\) | 30.9510 | + | 35.7194i | 1.14791 | + | 1.32476i | 0.937838 | + | 0.347074i | \(0.112825\pi\) |
0.210073 | + | 0.977686i | \(0.432630\pi\) | |||||||
\(728\) | −1.29778 | − | 12.3680i | −0.0480988 | − | 0.458389i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −40.7023 | + | 9.87426i | −1.50646 | + | 0.365463i | ||||
\(731\) | 3.41014 | − | 1.18026i | 0.126129 | − | 0.0436535i | ||||
\(732\) | −6.64721 | − | 1.61260i | −0.245688 | − | 0.0596033i | ||||
\(733\) | 26.1686 | − | 2.49880i | 0.966561 | − | 0.0922954i | 0.400178 | − | 0.916438i | \(-0.368948\pi\) |
0.566383 | + | 0.824142i | \(0.308342\pi\) | |||||||
\(734\) | 0.347623 | + | 2.41777i | 0.0128310 | + | 0.0892415i | ||||
\(735\) | −12.4341 | + | 16.4344i | −0.458637 | + | 0.606193i | ||||
\(736\) | −8.91926 | + | 26.2101i | −0.328768 | + | 0.966119i | ||||
\(737\) | −0.0856876 | − | 0.148415i | −0.00315634 | − | 0.00546694i | ||||
\(738\) | −2.18532 | + | 5.45866i | −0.0804426 | + | 0.200936i | ||||
\(739\) | 15.1577 | + | 21.2861i | 0.557587 | + | 0.783021i | 0.993114 | − | 0.117155i | \(-0.0373774\pi\) |
−0.435527 | + | 0.900176i | \(0.643438\pi\) | |||||||
\(740\) | 18.5427 | − | 19.4470i | 0.681643 | − | 0.714887i | ||||
\(741\) | 5.01360 | − | 5.78600i | 0.184179 | − | 0.212554i | ||||
\(742\) | 4.11624 | + | 2.87355i | 0.151112 | + | 0.105491i | ||||
\(743\) | −5.37023 | − | 8.35624i | −0.197015 | − | 0.306561i | 0.728664 | − | 0.684871i | \(-0.240142\pi\) |
−0.925679 | + | 0.378310i | \(0.876505\pi\) | |||||||
\(744\) | −6.07494 | + | 8.53106i | −0.222718 | + | 0.312764i | ||||
\(745\) | −4.91795 | − | 25.5168i | −0.180180 | − | 0.934862i | ||||
\(746\) | 4.17341 | + | 8.09528i | 0.152799 | + | 0.296389i | ||||
\(747\) | −0.197199 | + | 0.0789464i | −0.00721512 | + | 0.00288850i | ||||
\(748\) | 0.315026 | + | 0.0452939i | 0.0115185 | + | 0.00165611i | ||||
\(749\) | 0.157755 | − | 0.404985i | 0.00576425 | − | 0.0147978i | ||||
\(750\) | −2.47009 | + | 2.14035i | −0.0901951 | + | 0.0781545i | ||||
\(751\) | −1.59603 | − | 1.13653i | −0.0582400 | − | 0.0414726i | 0.550566 | − | 0.834792i | \(-0.314412\pi\) |
−0.608806 | + | 0.793319i | \(0.708351\pi\) | |||||||
\(752\) | −1.56493 | + | 0.0745468i | −0.0570671 | + | 0.00271844i | ||||
\(753\) | −11.0542 | − | 11.5933i | −0.402838 | − | 0.422484i | ||||
\(754\) | 1.00876 | − | 5.23395i | 0.0367369 | − | 0.190609i | ||||
\(755\) | 28.6679 | − | 8.41764i | 1.04333 | − | 0.306349i | ||||
\(756\) | −1.00450 | − | 3.30637i | −0.0365334 | − | 0.120251i | ||||
\(757\) | −6.82719 | + | 0.981601i | −0.248138 | + | 0.0356769i | −0.265262 | − | 0.964176i | \(-0.585458\pi\) |
0.0171233 | + | 0.999853i | \(0.494549\pi\) | |||||||
\(758\) | 23.9907 | − | 13.8510i | 0.871380 | − | 0.503091i | ||||
\(759\) | 0.237952 | + | 0.151182i | 0.00863711 | + | 0.00548756i | ||||
\(760\) | −18.1851 | + | 31.4975i | −0.659643 | + | 1.14254i | ||||
\(761\) | −9.09533 | − | 11.5657i | −0.329705 | − | 0.419255i | 0.592733 | − | 0.805399i | \(-0.298049\pi\) |
−0.922438 | + | 0.386145i | \(0.873807\pi\) | |||||||
\(762\) | 1.16596 | + | 0.532478i | 0.0422384 | + | 0.0192896i | ||||
\(763\) | 15.6859 | − | 24.9168i | 0.567868 | − | 0.902050i | ||||
\(764\) | 1.84197 | + | 1.59607i | 0.0666400 | + | 0.0577439i | ||||
\(765\) | 2.87719 | + | 11.8599i | 0.104025 | + | 0.428797i | ||||
\(766\) | 1.23390 | + | 25.9027i | 0.0445826 | + | 0.935904i | ||||
\(767\) | −16.1129 | − | 1.53860i | −0.581804 | − | 0.0555556i | ||||
\(768\) | −14.2393 | − | 4.92827i | −0.513817 | − | 0.177834i | ||||
\(769\) | −26.0627 | − | 16.7495i | −0.939845 | − | 0.604001i | −0.0214938 | − | 0.999769i | \(-0.506842\pi\) |
−0.918351 | + | 0.395768i | \(0.870479\pi\) | |||||||
\(770\) | 0.380798 | − | 0.0217091i | 0.0137230 | − | 0.000782340i | ||||
\(771\) | 3.73739 | − | 25.9941i | 0.134599 | − | 0.936154i | ||||
\(772\) | −1.25744 | + | 26.3970i | −0.0452564 | + | 0.950048i | ||||
\(773\) | −14.4618 | + | 2.78729i | −0.520156 | + | 0.100252i | −0.442570 | − | 0.896734i | \(-0.645933\pi\) |
−0.0775856 | + | 0.996986i | \(0.524721\pi\) | |||||||
\(774\) | −0.0689306 | + | 0.721874i | −0.00247766 | + | 0.0259472i | ||||
\(775\) | −6.39040 | + | 12.3956i | −0.229550 | + | 0.445265i | ||||
\(776\) | −20.9306 | − | 6.14579i | −0.751366 | − | 0.220621i | ||||
\(777\) | 9.39368 | + | 15.9247i | 0.336996 | + | 0.571295i | ||||
\(778\) | 6.89992 | + | 23.4990i | 0.247374 | + | 0.842479i | ||||
\(779\) | −3.00976 | − | 31.5197i | −0.107836 | − | 1.12931i | ||||
\(780\) | 6.09251 | + | 2.43907i | 0.218147 | + | 0.0873328i | ||||
\(781\) | −0.139469 | − | 0.0805225i | −0.00499060 | − | 0.00288132i | ||||
\(782\) | 13.0705 | + | 10.1693i | 0.467399 | + | 0.363654i | ||||
\(783\) | − | 3.74918i | − | 0.133985i | ||||||
\(784\) | 2.22595 | − | 0.0416208i | 0.0794983 | − | 0.00148646i | ||||
\(785\) | 20.4186 | − | 44.7104i | 0.728770 | − | 1.59578i | ||||
\(786\) | −11.7497 | − | 11.2033i | −0.419097 | − | 0.399608i | ||||
\(787\) | 10.4109 | + | 30.0804i | 0.371110 | + | 1.07225i | 0.963755 | + | 0.266788i | \(0.0859624\pi\) |
−0.592645 | + | 0.805464i | \(0.701916\pi\) | |||||||
\(788\) | 5.73232 | − | 5.46576i | 0.204205 | − | 0.194709i | ||||
\(789\) | −6.61259 | − | 3.40903i | −0.235414 | − | 0.121365i | ||||
\(790\) | 29.2487 | − | 13.3574i | 1.04062 | − | 0.475236i | ||||
\(791\) | 13.8696 | + | 33.7275i | 0.493147 | + | 1.19921i | ||||
\(792\) | −0.0875251 | + | 0.136192i | −0.00311007 | + | 0.00483936i | ||||
\(793\) | 3.32197 | + | 8.29787i | 0.117967 | + | 0.294666i | ||||
\(794\) | −20.1544 | + | 25.6284i | −0.715253 | + | 0.909518i | ||||
\(795\) | −5.96030 | + | 3.07275i | −0.211390 | + | 0.108979i | ||||
\(796\) | 6.77147 | − | 19.5649i | 0.240009 | − | 0.693459i | ||||
\(797\) | −2.03624 | − | 4.45874i | −0.0721273 | − | 0.157937i | 0.870134 | − | 0.492815i | \(-0.164032\pi\) |
−0.942261 | + | 0.334878i | \(0.891305\pi\) | |||||||
\(798\) | −6.88900 | − | 7.09106i | −0.243868 | − | 0.251021i | ||||
\(799\) | −5.75293 | + | 19.5927i | −0.203524 | + | 0.693140i | ||||
\(800\) | −20.7884 | − | 4.00664i | −0.734982 | − | 0.141656i | ||||
\(801\) | −0.560408 | + | 2.31003i | −0.0198011 | + | 0.0816211i | ||||
\(802\) | −16.3410 | + | 11.6364i | −0.577020 | + | 0.410894i | ||||
\(803\) | 0.789138 | − | 0.620585i | 0.0278481 | − | 0.0219000i | ||||
\(804\) | −3.80771 | −0.134287 | ||||||||
\(805\) | −33.4482 | − | 16.6326i | −1.17890 | − | 0.586224i | ||||
\(806\) | 5.40653 | 0.190437 | ||||||||
\(807\) | 23.9551 | − | 18.8385i | 0.843258 | − | 0.663146i | ||||
\(808\) | −14.7133 | + | 10.4773i | −0.517611 | + | 0.368589i | ||||
\(809\) | −3.92337 | + | 16.1724i | −0.137938 | + | 0.568590i | 0.860328 | + | 0.509740i | \(0.170258\pi\) |
−0.998267 | + | 0.0588497i | \(0.981257\pi\) | |||||||
\(810\) | −2.40809 | − | 0.464121i | −0.0846117 | − | 0.0163076i | ||||
\(811\) | 5.00795 | − | 17.0555i | 0.175853 | − | 0.598899i | −0.823642 | − | 0.567110i | \(-0.808061\pi\) |
0.999495 | − | 0.0317892i | \(-0.0101205\pi\) | |||||||
\(812\) | 12.4644 | + | 3.53366i | 0.437415 | + | 0.124007i | ||||
\(813\) | −7.38088 | − | 16.1619i | −0.258859 | − | 0.566822i | ||||
\(814\) | 0.111920 | − | 0.323371i | 0.00392279 | − | 0.0113342i | ||||
\(815\) | 10.3693 | − | 5.34574i | 0.363220 | − | 0.187253i | ||||
\(816\) | 0.814993 | − | 1.03635i | 0.0285304 | − | 0.0362794i | ||||
\(817\) | −1.45133 | − | 3.62526i | −0.0507758 | − | 0.126832i | ||||
\(818\) | 7.28033 | − | 11.3284i | 0.254551 | − | 0.396089i | ||||
\(819\) | −2.75803 | + | 3.57540i | −0.0963733 | + | 0.124935i | ||||
\(820\) | 24.6884 | − | 11.2748i | 0.862158 | − | 0.393734i | ||||
\(821\) | 15.2674 | + | 7.87089i | 0.532836 | + | 0.274696i | 0.703576 | − | 0.710620i | \(-0.251585\pi\) |
−0.170740 | + | 0.985316i | \(0.554616\pi\) | |||||||
\(822\) | 5.64531 | − | 5.38279i | 0.196903 | − | 0.187746i | ||||
\(823\) | 10.0107 | + | 28.9241i | 0.348952 | + | 1.00823i | 0.973785 | + | 0.227472i | \(0.0730460\pi\) |
−0.624833 | + | 0.780759i | \(0.714833\pi\) | |||||||
\(824\) | −15.0451 | − | 14.3455i | −0.524122 | − | 0.499750i | ||||
\(825\) | −0.0895534 | + | 0.196095i | −0.00311785 | + | 0.00682714i | ||||
\(826\) | −3.76367 | + | 20.5602i | −0.130955 | + | 0.715380i | ||||
\(827\) | 6.99457i | 0.243225i | 0.992578 | + | 0.121613i | \(0.0388066\pi\) | ||||
−0.992578 | + | 0.121613i | \(0.961193\pi\) | |||||||
\(828\) | 5.55249 | − | 2.89911i | 0.192962 | − | 0.100751i | ||||
\(829\) | −24.0926 | − | 13.9099i | −0.836772 | − | 0.483110i | 0.0193939 | − | 0.999812i | \(-0.493826\pi\) |
−0.856166 | + | 0.516702i | \(0.827160\pi\) | |||||||
\(830\) | −0.483612 | − | 0.193609i | −0.0167864 | − | 0.00672026i | ||||
\(831\) | −2.87536 | − | 30.1121i | −0.0997451 | − | 1.04458i | ||||
\(832\) | 2.00647 | + | 6.83341i | 0.0695619 | + | 0.236906i | ||||
\(833\) | 8.97635 | − | 27.5940i | 0.311012 | − | 0.956077i | ||||
\(834\) | 10.5206 | + | 3.08914i | 0.364300 | + | 0.106968i | ||||
\(835\) | 8.76690 | − | 17.0054i | 0.303391 | − | 0.588496i | ||||
\(836\) | 0.0327377 | − | 0.342845i | 0.00113226 | − | 0.0118575i | ||||
\(837\) | 3.73409 | − | 0.719687i | 0.129069 | − | 0.0248760i | ||||
\(838\) | 0.731932 | − | 15.3651i | 0.0252842 | − | 0.530780i | ||||
\(839\) | 0.433549 | − | 3.01540i | 0.0149678 | − | 0.104103i | −0.980968 | − | 0.194170i | \(-0.937799\pi\) |
0.995936 | + | 0.0900663i | \(0.0287079\pi\) | |||||||
\(840\) | 9.65096 | − | 19.1579i | 0.332990 | − | 0.661009i | ||||
\(841\) | −12.5714 | − | 8.07916i | −0.433497 | − | 0.278592i | ||||
\(842\) | −30.1373 | − | 10.4306i | −1.03860 | − | 0.359463i | ||||
\(843\) | 9.78365 | + | 0.934225i | 0.336967 | + | 0.0321764i | ||||
\(844\) | 0.106647 | + | 2.23880i | 0.00367095 | + | 0.0770627i | ||||
\(845\) | 7.00126 | + | 28.8596i | 0.240851 | + | 0.992800i | ||||
\(846\) | −3.10115 | − | 2.68716i | −0.106620 | − | 0.0923865i | ||||
\(847\) | 25.7341 | − | 13.5728i | 0.884235 | − | 0.466369i | ||||
\(848\) | 0.658970 | + | 0.300941i | 0.0226291 | + | 0.0103344i | ||||
\(849\) | 10.1635 | + | 12.9240i | 0.348811 | + | 0.443550i | ||||
\(850\) | −6.33175 | + | 10.9669i | −0.217177 | + | 0.376162i | ||||
\(851\) | −25.2137 | + | 22.0781i | −0.864316 | + | 0.756829i | ||||
\(852\) | −3.09880 | + | 1.78909i | −0.106163 | + | 0.0612934i | ||||
\(853\) | 32.3310 | − | 4.64849i | 1.10699 | − | 0.159161i | 0.435511 | − | 0.900184i | \(-0.356568\pi\) |
0.671480 | + | 0.741022i | \(0.265659\pi\) | |||||||
\(854\) | 11.0437 | − | 3.35517i | 0.377908 | − | 0.114812i | ||||
\(855\) | 12.6713 | − | 3.72063i | 0.433350 | − | 0.127243i | ||||
\(856\) | −0.0856192 | + | 0.444235i | −0.00292641 | + | 0.0151836i | ||||
\(857\) | 17.8192 | + | 18.6882i | 0.608691 | + | 0.638377i | 0.953891 | − | 0.300152i | \(-0.0970375\pi\) |
−0.345200 | + | 0.938529i | \(0.612189\pi\) | |||||||
\(858\) | 0.0834793 | − | 0.00397661i | 0.00284994 | − | 0.000135759i | ||||
\(859\) | 10.9073 | + | 7.76708i | 0.372154 | + | 0.265009i | 0.750797 | − | 0.660533i | \(-0.229670\pi\) |
−0.378643 | + | 0.925543i | \(0.623609\pi\) | |||||||
\(860\) | 2.52972 | − | 2.19201i | 0.0862627 | − | 0.0747471i | ||||
\(861\) | 2.83042 | + | 18.4594i | 0.0964605 | + | 0.629093i | ||||
\(862\) | −30.5792 | − | 4.39663i | −1.04153 | − | 0.149750i | ||||
\(863\) | −42.4959 | + | 17.0128i | −1.44658 | + | 0.579123i | −0.956285 | − | 0.292435i | \(-0.905534\pi\) |
−0.490293 | + | 0.871558i | \(0.663110\pi\) | |||||||
\(864\) | 2.64533 | + | 5.13122i | 0.0899959 | + | 0.174568i | ||||
\(865\) | −10.4034 | − | 53.9781i | −0.353727 | − | 1.83531i | ||||
\(866\) | 12.7680 | − | 17.9302i | 0.433876 | − | 0.609293i | ||||
\(867\) | −0.0993665 | − | 0.154617i | −0.00337466 | − | 0.00525108i | ||||
\(868\) | −1.12679 | + | 13.0926i | −0.0382458 | + | 0.444390i | ||||
\(869\) | −0.504724 | + | 0.582483i | −0.0171216 | + | 0.0197594i | ||||
\(870\) | 6.34494 | − | 6.65438i | 0.215114 | − | 0.225605i | ||||
\(871\) | 2.88618 | + | 4.05307i | 0.0977944 | + | 0.137333i | ||||
\(872\) | −11.3907 | + | 28.4525i | −0.385737 | + | 0.963524i | ||||
\(873\) | 3.96045 | + | 6.85970i | 0.134041 | + | 0.232166i | ||||
\(874\) | 10.3191 | − | 14.6515i | 0.349047 | − | 0.495596i | ||||
\(875\) | −3.30340 | + | 9.84122i | −0.111675 | + | 0.332694i | ||||
\(876\) | −3.17444 | − | 22.0787i | −0.107254 | − | 0.745970i | ||||
\(877\) | −21.0538 | + | 2.01039i | −0.710935 | + | 0.0678861i | −0.444257 | − | 0.895899i | \(-0.646532\pi\) |
−0.266679 | + | 0.963786i | \(0.585926\pi\) | |||||||
\(878\) | −2.54431 | − | 0.617244i | −0.0858664 | − | 0.0208310i | ||||
\(879\) | −24.7975 | + | 8.58251i | −0.836400 | + | 0.289481i | ||||
\(880\) | 0.0534902 | − | 0.0129766i | 0.00180315 | − | 0.000437441i | ||||
\(881\) | −4.51389 | + | 2.90090i | −0.152077 | + | 0.0977339i | −0.614466 | − | 0.788943i | \(-0.710629\pi\) |
0.462389 | + | 0.886677i | \(0.346992\pi\) | |||||||
\(882\) | 4.29465 | + | 3.94432i | 0.144608 | + | 0.132812i | ||||
\(883\) | −17.4290 | − | 20.1141i | −0.586531 | − | 0.676893i | 0.382465 | − | 0.923970i | \(-0.375075\pi\) |
−0.968996 | + | 0.247077i | \(0.920530\pi\) | |||||||
\(884\) | −9.23001 | − | 0.439680i | −0.310439 | − | 0.0147880i | ||||
\(885\) | −21.9471 | − | 17.2594i | −0.737742 | − | 0.580167i | ||||
\(886\) | 1.45396 | + | 1.14341i | 0.0488468 | + | 0.0384136i | ||||
\(887\) | 36.8264 | + | 1.75426i | 1.23651 | + | 0.0589021i | 0.655626 | − | 0.755086i | \(-0.272405\pi\) |
0.580882 | + | 0.813988i | \(0.302708\pi\) | |||||||
\(888\) | −12.6030 | − | 14.5447i | −0.422930 | − | 0.488088i | ||||
\(889\) | 4.04891 | − | 0.424854i | 0.135796 | − | 0.0142491i | ||||
\(890\) | −4.90406 | + | 3.15165i | −0.164385 | + | 0.105644i | ||||
\(891\) | 0.0571267 | − | 0.0138588i | 0.00191382 | − | 0.000464287i | ||||
\(892\) | −4.22674 | + | 1.46289i | −0.141522 | + | 0.0489811i | ||||
\(893\) | 21.4740 | + | 5.20954i | 0.718601 | + | 0.174331i | ||||
\(894\) | −7.31957 | + | 0.698934i | −0.244803 | + | 0.0233758i | ||||
\(895\) | −6.06229 | − | 42.1641i | −0.202640 | − | 1.40939i | ||||
\(896\) | −20.9264 | + | 4.23649i | −0.699102 | + | 0.141531i | ||||
\(897\) | −7.29462 | − | 3.71281i | −0.243560 | − | 0.123967i | ||||
\(898\) | 5.96850 | + | 10.3377i | 0.199171 | + | 0.344975i | ||||
\(899\) | −5.29895 | + | 13.2361i | −0.176730 | + | 0.441450i | ||||
\(900\) | 2.77834 | + | 3.90164i | 0.0926115 | + | 0.130055i | ||||
\(901\) | 6.51574 | − | 6.83352i | 0.217071 | − | 0.227657i | ||||
\(902\) | 0.226345 | − | 0.261217i | 0.00753648 | − | 0.00869756i | ||||
\(903\) | 0.976321 | + | 2.08602i | 0.0324899 | + | 0.0694183i | ||||
\(904\) | −20.5228 | − | 31.9341i | −0.682579 | − | 1.06211i | ||||
\(905\) | −40.7488 | + | 57.2237i | −1.35454 | + | 1.90218i | ||||
\(906\) | −1.59994 | − | 8.30126i | −0.0531543 | − | 0.275791i | ||||
\(907\) | 9.70086 | + | 18.8170i | 0.322112 | + | 0.624809i | 0.993181 | − | 0.116585i | \(-0.0371949\pi\) |
−0.671069 | + | 0.741395i | \(0.734165\pi\) | |||||||
\(908\) | −2.82589 | + | 1.13132i | −0.0937805 | + | 0.0375440i | ||||
\(909\) | 6.49184 | + | 0.933386i | 0.215321 | + | 0.0309585i | ||||
\(910\) | −10.9461 | + | 1.67839i | −0.362858 | + | 0.0556380i | ||||
\(911\) | −26.9482 | + | 23.3507i | −0.892833 | + | 0.773644i | −0.974821 | − | 0.222989i | \(-0.928418\pi\) |
0.0819882 | + | 0.996633i | \(0.473873\pi\) | |||||||
\(912\) | −1.16216 | − | 0.827567i | −0.0384828 | − | 0.0274035i | ||||
\(913\) | 0.0124724 | 0.000594132i | 0.000412775 | 1.96629e-5i | ||||||
\(914\) | 4.79929 | + | 5.03335i | 0.158746 | + | 0.166488i | ||||
\(915\) | −2.91786 | + | 15.1393i | −0.0964615 | + | 0.500490i | ||||
\(916\) | −9.94002 | + | 2.91865i | −0.328428 | + | 0.0964350i | ||||
\(917\) | −50.2217 | − | 11.6877i | −1.65847 | − | 0.385961i | ||||
\(918\) | 3.41797 | − | 0.491430i | 0.112810 | − | 0.0162196i | ||||
\(919\) | 30.7654 | − | 17.7624i | 1.01486 | − | 0.585927i | 0.102246 | − | 0.994759i | \(-0.467397\pi\) |
0.912610 | + | 0.408832i | \(0.134064\pi\) | |||||||
\(920\) | 37.3654 | + | 10.7610i | 1.23190 | + | 0.354779i | ||||
\(921\) | 9.35079 | − | 16.1960i | 0.308119 | − | 0.533678i | ||||
\(922\) | −1.73882 | − | 2.21109i | −0.0572650 | − | 0.0728183i | ||||
\(923\) | 4.25322 | + | 1.94238i | 0.139996 | + | 0.0639343i | ||||
\(924\) | −0.00776833 | + | 0.202984i | −0.000255559 | + | 0.00667768i | ||||
\(925\) | −19.3678 | − | 16.7823i | −0.636810 | − | 0.551799i | ||||
\(926\) | −4.91652 | − | 20.2662i | −0.161567 | − | 0.665988i | ||||
\(927\) | 0.359164 | + | 7.53978i | 0.0117965 | + | 0.247639i | ||||
\(928\) | −21.5459 | − | 2.05738i | −0.707278 | − | 0.0675369i | ||||
\(929\) | −46.5967 | − | 16.1273i | −1.52879 | − | 0.529119i | −0.572088 | − | 0.820192i | \(-0.693867\pi\) |
−0.956701 | + | 0.291073i | \(0.905988\pi\) | |||||||
\(930\) | 7.84557 | + | 5.04204i | 0.257266 | + | 0.165335i | ||||
\(931\) | −30.2887 | − | 8.28175i | −0.992671 | − | 0.271424i | ||||
\(932\) | −3.99128 | + | 27.7600i | −0.130739 | + | 0.909308i | ||||
\(933\) | −1.19091 | + | 25.0002i | −0.0389886 | + | 0.818471i | ||||
\(934\) | 3.45194 | − | 0.665306i | 0.112951 | − | 0.0217695i | ||||
\(935\) | 0.0681927 | − | 0.714146i | 0.00223014 | − | 0.0233551i | ||||
\(936\) | 2.15382 | − | 4.17782i | 0.0703997 | − | 0.136556i | ||||
\(937\) | −35.0131 | − | 10.2808i | −1.14383 | − | 0.335858i | −0.345699 | − | 0.938345i | \(-0.612358\pi\) |
−0.798128 | + | 0.602487i | \(0.794176\pi\) | |||||||
\(938\) | 5.53417 | − | 3.26451i | 0.180697 | − | 0.106590i | ||||
\(939\) | −3.81890 | − | 13.0060i | −0.124625 | − | 0.424434i | ||||
\(940\) | 1.80047 | + | 18.8554i | 0.0587250 | + | 0.614996i | ||||
\(941\) | −37.8770 | − | 15.1637i | −1.23475 | − | 0.494321i | −0.339808 | − | 0.940495i | \(-0.610362\pi\) |
−0.894946 | + | 0.446174i | \(0.852786\pi\) | |||||||
\(942\) | −12.0444 | − | 6.95382i | −0.392427 | − | 0.226568i | ||||
\(943\) | −31.9318 | + | 11.2377i | −1.03984 | + | 0.365951i | ||||
\(944\) | 3.01632i | 0.0981728i | ||||||||
\(945\) | −7.33662 | + | 2.61628i | −0.238660 | + | 0.0851075i | ||||
\(946\) | 0.0177081 | − | 0.0387753i | 0.000575739 | − | 0.00126069i | ||||
\(947\) | −15.7906 | − | 15.0563i | −0.513127 | − | 0.489266i | 0.388699 | − | 0.921365i | \(-0.372925\pi\) |
−0.901826 | + | 0.432099i | \(0.857773\pi\) | |||||||
\(948\) | 5.60091 | + | 16.1828i | 0.181909 | + | 0.525592i | ||||
\(949\) | −21.0953 | + | 20.1143i | −0.684781 | + | 0.652937i | ||||
\(950\) | 12.1802 | + | 6.27933i | 0.395178 | + | 0.203728i | ||||
\(951\) | 25.4215 | − | 11.6096i | 0.824349 | − | 0.376468i | ||||
\(952\) | −4.01892 | + | 29.9362i | −0.130254 | + | 0.970237i | ||||
\(953\) | 16.7224 | − | 26.0206i | 0.541692 | − | 0.842889i | −0.457228 | − | 0.889349i | \(-0.651158\pi\) |
0.998920 | + | 0.0464604i | \(0.0147941\pi\) | |||||||
\(954\) | 0.705190 | + | 1.76148i | 0.0228314 | + | 0.0570300i | ||||
\(955\) | 3.39603 | − | 4.31841i | 0.109893 | − | 0.139740i | ||||
\(956\) | −34.4126 | + | 17.7409i | −1.11298 | + | 0.573783i | ||||
\(957\) | −0.0720827 | + | 0.208269i | −0.00233010 | + | 0.00673239i | ||||
\(958\) | 8.34430 | + | 18.2715i | 0.269592 | + | 0.590324i | ||||
\(959\) | 6.75729 | − | 23.8352i | 0.218204 | − | 0.769679i | ||||
\(960\) | −3.46108 | + | 11.7874i | −0.111706 | + | 0.380436i | ||||
\(961\) | 16.2397 | + | 3.12995i | 0.523863 | + | 0.100966i | ||||
\(962\) | −2.34230 | + | 9.65508i | −0.0755187 | + | 0.311292i | ||||
\(963\) | 0.133813 | − | 0.0952877i | 0.00431206 | − | 0.00307060i | ||||
\(964\) | −21.8168 | + | 17.1569i | −0.702672 | + | 0.552587i | ||||
\(965\) | 59.5682 | 1.91757 | ||||||||
\(966\) | −5.58454 | + | 8.97399i | −0.179680 | + | 0.288733i | ||||
\(967\) | 30.5985 | 0.983983 | 0.491991 | − | 0.870600i | \(-0.336269\pi\) | ||||
0.491991 | + | 0.870600i | \(0.336269\pi\) | |||||||
\(968\) | −23.8053 | + | 18.7207i | −0.765133 | + | 0.601707i | ||||
\(969\) | −15.1471 | + | 10.7862i | −0.486595 | + | 0.346503i | ||||
\(970\) | −4.57968 | + | 18.8777i | −0.147045 | + | 0.606127i | ||||
\(971\) | −16.3717 | − | 3.15538i | −0.525391 | − | 0.101261i | −0.0803428 | − | 0.996767i | \(-0.525601\pi\) |
−0.445049 | + | 0.895506i | \(0.646814\pi\) | |||||||
\(972\) | 0.367968 | − | 1.25318i | 0.0118026 | − | 0.0401959i | ||||
\(973\) | 33.7656 | − | 8.52642i | 1.08247 | − | 0.273345i | ||||
\(974\) | 11.4651 | + | 25.1051i | 0.367366 | + | 0.804419i | ||||
\(975\) | 2.04712 | − | 5.91476i | 0.0655602 | − | 0.189424i | ||||
\(976\) | 1.48047 | − | 0.763236i | 0.0473887 | − | 0.0244306i | ||||
\(977\) | 6.15712 | − | 7.82941i | 0.196984 | − | 0.250485i | −0.677520 | − | 0.735505i | \(-0.736945\pi\) |
0.874503 | + | 0.485020i | \(0.161188\pi\) | |||||||
\(978\) | −1.22684 | − | 3.06449i | −0.0392299 | − | 0.0979916i | ||||
\(979\) | 0.0755444 | − | 0.117549i | 0.00241441 | − | 0.00375690i | ||||
\(980\) | −1.78311 | − | 26.8570i | −0.0569595 | − | 0.857914i | ||||
\(981\) | 10.1228 | − | 4.62292i | 0.323196 | − | 0.147599i | ||||
\(982\) | 6.87187 | + | 3.54270i | 0.219290 | + | 0.113052i | ||||
\(983\) | 19.7826 | − | 18.8627i | 0.630967 | − | 0.601626i | −0.305581 | − | 0.952166i | \(-0.598851\pi\) |
0.936548 | + | 0.350540i | \(0.114002\pi\) | |||||||
\(984\) | −6.35797 | − | 18.3701i | −0.202685 | − | 0.585619i | ||||
\(985\) | −12.9211 | − | 12.3202i | −0.411700 | − | 0.392555i | ||||
\(986\) | −5.37811 | + | 11.7764i | −0.171274 | + | 0.375037i | ||||
\(987\) | −12.8199 | − | 2.34676i | −0.408062 | − | 0.0746983i | ||||
\(988\) | 9.99939i | 0.318123i | ||||||||
\(989\) | −3.38814 | + | 2.43930i | −0.107736 | + | 0.0775652i | ||||
\(990\) | 0.124848 | + | 0.0720809i | 0.00396792 | + | 0.00229088i | ||||
\(991\) | −55.2060 | − | 22.1012i | −1.75368 | − | 0.702067i | −0.998940 | − | 0.0460400i | \(-0.985340\pi\) |
−0.754738 | − | 0.656027i | \(-0.772236\pi\) | |||||||
\(992\) | −2.08681 | − | 21.8541i | −0.0662564 | − | 0.693869i | ||||
\(993\) | −5.38934 | − | 18.3544i | −0.171026 | − | 0.582460i | ||||
\(994\) | 2.96997 | − | 5.25703i | 0.0942018 | − | 0.166743i | ||||
\(995\) | −44.7770 | − | 13.1477i | −1.41953 | − | 0.416811i | ||||
\(996\) | 0.127127 | − | 0.246592i | 0.00402817 | − | 0.00781355i | ||||
\(997\) | −4.29846 | + | 45.0155i | −0.136133 | + | 1.42565i | 0.626802 | + | 0.779179i | \(0.284364\pi\) |
−0.762935 | + | 0.646475i | \(0.776242\pi\) | |||||||
\(998\) | −30.5700 | + | 5.89189i | −0.967678 | + | 0.186505i | ||||
\(999\) | −0.332508 | + | 6.98020i | −0.0105201 | + | 0.220844i |
(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 | 483.2.bf.a.388.21 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.250.12 | yes | 640 | |
23.15 | odd | 22 | inner | 483.2.bf.a.199.12 | yes | 640 | |
161.61 | even | 66 | inner | 483.2.bf.a.61.21 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.21 | ✓ | 640 | 161.61 | even | 66 | inner | |
483.2.bf.a.199.12 | yes | 640 | 23.15 | odd | 22 | inner | |
483.2.bf.a.250.12 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.388.21 | yes | 640 | 1.1 | even | 1 | trivial |