Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(51,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.51");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.w (of order \(26\), degree \(12\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(744\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 116.19 | ||
Character | \(\chi\) | \(=\) | 845.116 |
Dual form | 845.2.w.a.51.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{7}{26}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.802563 | − | 0.905906i | −0.567497 | − | 0.640572i | 0.392776 | − | 0.919634i | \(-0.371515\pi\) |
−0.960273 | + | 0.279062i | \(0.909976\pi\) | |||||||
\(3\) | 1.01575 | + | 2.67831i | 0.586443 | + | 1.54632i | 0.819032 | + | 0.573748i | \(0.194511\pi\) |
−0.232588 | + | 0.972575i | \(0.574719\pi\) | |||||||
\(4\) | 0.0645146 | − | 0.531325i | 0.0322573 | − | 0.265663i | ||||
\(5\) | −0.239316 | − | 0.970942i | −0.107025 | − | 0.434218i | ||||
\(6\) | 1.61110 | − | 3.06969i | 0.657727 | − | 1.25319i | ||||
\(7\) | −0.865640 | + | 0.597508i | −0.327181 | + | 0.225837i | −0.720319 | − | 0.693643i | \(-0.756005\pi\) |
0.393138 | + | 0.919479i | \(0.371389\pi\) | |||||||
\(8\) | −2.52519 | + | 1.74301i | −0.892788 | + | 0.616247i | ||||
\(9\) | −3.89607 | + | 3.45162i | −1.29869 | + | 1.15054i | ||||
\(10\) | −0.687516 | + | 0.996039i | −0.217412 | + | 0.314975i | ||||
\(11\) | −0.408150 | + | 0.460707i | −0.123062 | + | 0.138908i | −0.806812 | − | 0.590808i | \(-0.798809\pi\) |
0.683750 | + | 0.729716i | \(0.260348\pi\) | |||||||
\(12\) | 1.48859 | − | 0.366903i | 0.429718 | − | 0.105916i | ||||
\(13\) | −3.19149 | − | 1.67761i | −0.885161 | − | 0.465285i | ||||
\(14\) | 1.23602 | + | 0.304651i | 0.330339 | + | 0.0814213i | ||||
\(15\) | 2.35740 | − | 1.62720i | 0.608678 | − | 0.420140i | ||||
\(16\) | 2.56627 | + | 0.632529i | 0.641568 | + | 0.158132i | ||||
\(17\) | −2.33809 | − | 3.38731i | −0.567070 | − | 0.821543i | 0.429605 | − | 0.903017i | \(-0.358653\pi\) |
−0.996676 | + | 0.0814735i | \(0.974037\pi\) | |||||||
\(18\) | 6.25368 | + | 0.759335i | 1.47401 | + | 0.178977i | ||||
\(19\) | − | 4.00100i | − | 0.917893i | −0.888464 | − | 0.458946i | \(-0.848227\pi\) | ||
0.888464 | − | 0.458946i | \(-0.151773\pi\) | |||||||
\(20\) | −0.531325 | + | 0.0645146i | −0.118808 | + | 0.0144259i | ||||
\(21\) | −2.47958 | − | 1.71153i | −0.541090 | − | 0.373487i | ||||
\(22\) | 0.744923 | 0.158818 | ||||||||
\(23\) | −7.48570 | −1.56088 | −0.780438 | − | 0.625233i | \(-0.785004\pi\) | ||||
−0.780438 | + | 0.625233i | \(0.785004\pi\) | |||||||
\(24\) | −7.23328 | − | 4.99277i | −1.47649 | − | 1.01915i | ||||
\(25\) | −0.885456 | + | 0.464723i | −0.177091 | + | 0.0929446i | ||||
\(26\) | 1.04162 | + | 4.23758i | 0.204278 | + | 0.831057i | ||||
\(27\) | −5.59290 | − | 2.93538i | −1.07635 | − | 0.564914i | ||||
\(28\) | 0.261625 | + | 0.498484i | 0.0494424 | + | 0.0942047i | ||||
\(29\) | −2.05391 | + | 1.81961i | −0.381402 | + | 0.337893i | −0.831941 | − | 0.554864i | \(-0.812770\pi\) |
0.450539 | + | 0.892757i | \(0.351232\pi\) | |||||||
\(30\) | −3.36605 | − | 0.829656i | −0.614553 | − | 0.151474i | ||||
\(31\) | 1.63672 | − | 3.11851i | 0.293964 | − | 0.560102i | −0.693020 | − | 0.720918i | \(-0.743720\pi\) |
0.986984 | + | 0.160816i | \(0.0514127\pi\) | |||||||
\(32\) | 1.36527 | + | 2.60130i | 0.241347 | + | 0.459849i | ||||
\(33\) | −1.64849 | − | 0.625191i | −0.286966 | − | 0.108832i | ||||
\(34\) | −1.19212 | + | 4.83662i | −0.204447 | + | 0.829473i | ||||
\(35\) | 0.787306 | + | 0.697493i | 0.133079 | + | 0.117898i | ||||
\(36\) | 1.58258 | + | 2.29276i | 0.263763 | + | 0.382127i | ||||
\(37\) | 2.61508 | − | 4.98262i | 0.429917 | − | 0.819138i | −0.570080 | − | 0.821589i | \(-0.693088\pi\) |
0.999997 | + | 0.00245123i | \(0.000780252\pi\) | |||||||
\(38\) | −3.62453 | + | 3.21106i | −0.587977 | + | 0.520902i | ||||
\(39\) | 1.25140 | − | 10.2518i | 0.200384 | − | 1.64161i | ||||
\(40\) | 2.29668 | + | 2.03468i | 0.363137 | + | 0.321711i | ||||
\(41\) | 9.68808 | − | 3.67421i | 1.51302 | − | 0.573814i | 0.548116 | − | 0.836402i | \(-0.315345\pi\) |
0.964908 | + | 0.262588i | \(0.0845759\pi\) | |||||||
\(42\) | 0.439533 | + | 3.61988i | 0.0678215 | + | 0.558560i | ||||
\(43\) | −9.81884 | + | 5.15333i | −1.49736 | + | 0.785875i | −0.996808 | − | 0.0798319i | \(-0.974562\pi\) |
−0.500551 | + | 0.865707i | \(0.666869\pi\) | |||||||
\(44\) | 0.218454 | + | 0.246583i | 0.0329331 | + | 0.0371738i | ||||
\(45\) | 4.28371 | + | 2.95683i | 0.638578 | + | 0.440779i | ||||
\(46\) | 6.00774 | + | 6.78134i | 0.885793 | + | 0.999854i | ||||
\(47\) | −7.56685 | + | 0.918782i | −1.10374 | + | 0.134018i | −0.652064 | − | 0.758164i | \(-0.726096\pi\) |
−0.451675 | + | 0.892182i | \(0.649173\pi\) | |||||||
\(48\) | 0.912579 | + | 7.51577i | 0.131719 | + | 1.08481i | ||||
\(49\) | −2.08992 | + | 5.51066i | −0.298560 | + | 0.787237i | ||||
\(50\) | 1.13163 | + | 0.429170i | 0.160037 | + | 0.0606939i | ||||
\(51\) | 6.69736 | − | 9.70280i | 0.937817 | − | 1.35866i | ||||
\(52\) | −1.09725 | + | 1.58749i | −0.152162 | + | 0.220145i | ||||
\(53\) | 3.05848 | + | 4.43097i | 0.420115 | + | 0.608641i | 0.974708 | − | 0.223480i | \(-0.0717418\pi\) |
−0.554594 | + | 0.832121i | \(0.687126\pi\) | |||||||
\(54\) | 1.82947 | + | 7.42246i | 0.248960 | + | 1.01007i | ||||
\(55\) | 0.544996 | + | 0.286036i | 0.0734873 | + | 0.0385691i | ||||
\(56\) | 1.14444 | − | 3.01764i | 0.152932 | − | 0.403249i | ||||
\(57\) | 10.7159 | − | 4.06402i | 1.41936 | − | 0.538292i | ||||
\(58\) | 3.29679 | + | 0.400303i | 0.432890 | + | 0.0525623i | ||||
\(59\) | −0.728456 | − | 2.95546i | −0.0948369 | − | 0.384768i | 0.904273 | − | 0.426955i | \(-0.140414\pi\) |
−0.999110 | + | 0.0421866i | \(0.986568\pi\) | |||||||
\(60\) | −0.712484 | − | 1.35752i | −0.0919813 | − | 0.175256i | ||||
\(61\) | 5.32354 | − | 7.71248i | 0.681609 | − | 0.987481i | −0.317620 | − | 0.948218i | \(-0.602884\pi\) |
0.999229 | − | 0.0392631i | \(-0.0125011\pi\) | |||||||
\(62\) | −4.13865 | + | 1.02009i | −0.525609 | + | 0.129551i | ||||
\(63\) | 1.31022 | − | 5.31579i | 0.165073 | − | 0.669727i | ||||
\(64\) | 3.13531 | − | 8.26714i | 0.391914 | − | 1.03339i | ||||
\(65\) | −0.865086 | + | 3.50023i | −0.107301 | + | 0.434150i | ||||
\(66\) | 0.756655 | + | 1.99514i | 0.0931378 | + | 0.245584i | ||||
\(67\) | −14.8448 | + | 1.80249i | −1.81358 | + | 0.220209i | −0.955844 | − | 0.293875i | \(-0.905055\pi\) |
−0.857740 | + | 0.514084i | \(0.828132\pi\) | |||||||
\(68\) | −1.95061 | + | 1.02376i | −0.236546 | + | 0.124149i | ||||
\(69\) | −7.60359 | − | 20.0490i | −0.915365 | − | 2.41362i | ||||
\(70\) | − | 1.27301i | − | 0.152153i | ||||||
\(71\) | −15.3656 | + | 5.82741i | −1.82356 | + | 0.691586i | −0.833222 | + | 0.552939i | \(0.813506\pi\) |
−0.990342 | + | 0.138647i | \(0.955725\pi\) | |||||||
\(72\) | 3.82210 | − | 15.5069i | 0.450439 | − | 1.82750i | ||||
\(73\) | 5.75609 | − | 6.49728i | 0.673699 | − | 0.760449i | −0.307896 | − | 0.951420i | \(-0.599625\pi\) |
0.981596 | + | 0.190971i | \(0.0611635\pi\) | |||||||
\(74\) | −6.61255 | + | 1.62985i | −0.768693 | + | 0.189466i | ||||
\(75\) | −2.14407 | − | 1.89948i | −0.247576 | − | 0.219334i | ||||
\(76\) | −2.12583 | − | 0.258123i | −0.243850 | − | 0.0296087i | ||||
\(77\) | 0.0780354 | − | 0.642679i | 0.00889296 | − | 0.0732401i | ||||
\(78\) | −10.2915 | + | 7.09409i | −1.16529 | + | 0.803248i | ||||
\(79\) | −0.656610 | − | 5.40767i | −0.0738744 | − | 0.608410i | −0.981887 | − | 0.189467i | \(-0.939324\pi\) |
0.908013 | − | 0.418943i | \(-0.137599\pi\) | |||||||
\(80\) | − | 2.64308i | − | 0.295505i | ||||||
\(81\) | 0.298660 | − | 2.45969i | 0.0331844 | − | 0.273298i | ||||
\(82\) | −11.1038 | − | 5.82771i | −1.22621 | − | 0.643563i | ||||
\(83\) | 9.38165 | + | 3.55799i | 1.02977 | + | 0.390540i | 0.810882 | − | 0.585210i | \(-0.198988\pi\) |
0.218888 | + | 0.975750i | \(0.429757\pi\) | |||||||
\(84\) | −1.06935 | + | 1.20705i | −0.116676 | + | 0.131700i | ||||
\(85\) | −2.72934 | + | 3.08079i | −0.296038 | + | 0.334158i | ||||
\(86\) | 12.5487 | + | 4.75908i | 1.35316 | + | 0.513185i | ||||
\(87\) | −6.95974 | − | 3.65276i | −0.746163 | − | 0.391617i | ||||
\(88\) | 0.227640 | − | 1.87478i | 0.0242665 | − | 0.199852i | ||||
\(89\) | − | 2.85582i | − | 0.302716i | −0.988479 | − | 0.151358i | \(-0.951635\pi\) | ||
0.988479 | − | 0.151358i | \(-0.0483647\pi\) | |||||||
\(90\) | −0.759335 | − | 6.25368i | −0.0800409 | − | 0.659196i | ||||
\(91\) | 3.76507 | − | 0.454738i | 0.394686 | − | 0.0476695i | ||||
\(92\) | −0.482937 | + | 3.97734i | −0.0503496 | + | 0.414667i | ||||
\(93\) | 10.0149 | + | 1.21602i | 1.03849 | + | 0.126096i | ||||
\(94\) | 6.90520 | + | 6.11748i | 0.712217 | + | 0.630969i | ||||
\(95\) | −3.88474 | + | 0.957503i | −0.398566 | + | 0.0982377i | ||||
\(96\) | −5.58031 | + | 6.29887i | −0.569538 | + | 0.642876i | ||||
\(97\) | 2.14374 | − | 8.69751i | 0.217664 | − | 0.883098i | −0.755900 | − | 0.654687i | \(-0.772801\pi\) |
0.973565 | − | 0.228412i | \(-0.0733532\pi\) | |||||||
\(98\) | 6.66943 | − | 2.52938i | 0.673714 | − | 0.255506i | ||||
\(99\) | − | 3.20373i | − | 0.321987i | ||||||
\(100\) | 0.189794 | + | 0.500447i | 0.0189794 | + | 0.0500447i | ||||
\(101\) | −12.9682 | + | 6.80622i | −1.29038 | + | 0.677244i | −0.963471 | − | 0.267811i | \(-0.913700\pi\) |
−0.326910 | + | 0.945055i | \(0.606007\pi\) | |||||||
\(102\) | −14.1649 | + | 1.71993i | −1.40253 | + | 0.170298i | ||||
\(103\) | −2.78251 | − | 7.33688i | −0.274169 | − | 0.722925i | −0.999407 | − | 0.0344265i | \(-0.989040\pi\) |
0.725238 | − | 0.688498i | \(-0.241730\pi\) | |||||||
\(104\) | 10.9832 | − | 1.32653i | 1.07699 | − | 0.130077i | ||||
\(105\) | −1.06840 | + | 2.81713i | −0.104265 | + | 0.274924i | ||||
\(106\) | 1.55942 | − | 6.32683i | 0.151465 | − | 0.614516i | ||||
\(107\) | 0.598492 | − | 0.147515i | 0.0578584 | − | 0.0142608i | −0.210280 | − | 0.977641i | \(-0.567438\pi\) |
0.268139 | + | 0.963380i | \(0.413591\pi\) | |||||||
\(108\) | −1.92046 | + | 2.78227i | −0.184797 | + | 0.267724i | ||||
\(109\) | 0.552984 | + | 1.05362i | 0.0529663 | + | 0.100919i | 0.910500 | − | 0.413509i | \(-0.135697\pi\) |
−0.857534 | + | 0.514427i | \(0.828005\pi\) | |||||||
\(110\) | −0.178272 | − | 0.723277i | −0.0169975 | − | 0.0689618i | ||||
\(111\) | 16.0013 | + | 1.94291i | 1.51877 | + | 0.184413i | ||||
\(112\) | −2.59941 | + | 0.985825i | −0.245621 | + | 0.0931518i | ||||
\(113\) | −0.706812 | + | 1.86371i | −0.0664913 | + | 0.175323i | −0.964143 | − | 0.265381i | \(-0.914502\pi\) |
0.897652 | + | 0.440705i | \(0.145271\pi\) | |||||||
\(114\) | −12.2818 | − | 6.44600i | −1.15030 | − | 0.603723i | ||||
\(115\) | 1.79144 | + | 7.26818i | 0.167053 | + | 0.677761i | ||||
\(116\) | 0.834298 | + | 1.20869i | 0.0774626 | + | 0.112224i | ||||
\(117\) | 18.2248 | − | 4.47973i | 1.68488 | − | 0.414152i | ||||
\(118\) | −2.09274 | + | 3.03186i | −0.192652 | + | 0.279105i | ||||
\(119\) | 4.04789 | + | 1.53516i | 0.371069 | + | 0.140728i | ||||
\(120\) | −3.11665 | + | 8.21794i | −0.284510 | + | 0.750192i | ||||
\(121\) | 1.28024 | + | 10.5437i | 0.116385 | + | 0.958520i | ||||
\(122\) | −11.2592 | + | 1.36712i | −1.01936 | + | 0.123773i | ||||
\(123\) | 19.6813 | + | 22.2156i | 1.77461 | + | 2.00312i | ||||
\(124\) | −1.55135 | − | 1.07082i | −0.139316 | − | 0.0961627i | ||||
\(125\) | 0.663123 | + | 0.748511i | 0.0593115 | + | 0.0669488i | ||||
\(126\) | −5.86714 | + | 3.07931i | −0.522687 | + | 0.274327i | ||||
\(127\) | 1.86500 | + | 15.3597i | 0.165492 | + | 1.36295i | 0.804593 | + | 0.593827i | \(0.202384\pi\) |
−0.639101 | + | 0.769123i | \(0.720693\pi\) | |||||||
\(128\) | −4.51175 | + | 1.71108i | −0.398786 | + | 0.151240i | ||||
\(129\) | −23.7757 | − | 21.0634i | −2.09333 | − | 1.85453i | ||||
\(130\) | 3.86517 | − | 2.02547i | 0.338998 | − | 0.177645i | ||||
\(131\) | −8.60609 | + | 7.62433i | −0.751918 | + | 0.666141i | −0.949366 | − | 0.314172i | \(-0.898273\pi\) |
0.197448 | + | 0.980313i | \(0.436735\pi\) | |||||||
\(132\) | −0.438532 | + | 0.835553i | −0.0381693 | + | 0.0727256i | ||||
\(133\) | 2.39063 | + | 3.46343i | 0.207294 | + | 0.300317i | ||||
\(134\) | 13.5468 | + | 12.0014i | 1.17026 | + | 1.03676i | ||||
\(135\) | −1.51161 | + | 6.13286i | −0.130099 | + | 0.527832i | ||||
\(136\) | 11.8082 | + | 4.47827i | 1.01255 | + | 0.384009i | ||||
\(137\) | 1.71102 | + | 3.26008i | 0.146183 | + | 0.278528i | 0.947527 | − | 0.319675i | \(-0.103574\pi\) |
−0.801345 | + | 0.598203i | \(0.795882\pi\) | |||||||
\(138\) | −12.0602 | + | 22.9787i | −1.02663 | + | 1.95608i | ||||
\(139\) | 9.61525 | + | 2.36995i | 0.815555 | + | 0.201016i | 0.624964 | − | 0.780653i | \(-0.285113\pi\) |
0.190591 | + | 0.981670i | \(0.438960\pi\) | |||||||
\(140\) | 0.421388 | − | 0.373318i | 0.0356138 | − | 0.0315511i | ||||
\(141\) | −10.1468 | − | 19.3331i | −0.854516 | − | 1.62814i | ||||
\(142\) | 17.6110 | + | 9.24294i | 1.47788 | + | 0.775650i | ||||
\(143\) | 2.07549 | − | 0.785626i | 0.173562 | − | 0.0656973i | ||||
\(144\) | −12.1816 | + | 6.39341i | −1.01514 | + | 0.532784i | ||||
\(145\) | 2.25827 | + | 1.55877i | 0.187539 | + | 0.129449i | ||||
\(146\) | −10.5055 | −0.869445 | ||||||||
\(147\) | −16.8821 | −1.39241 | ||||||||
\(148\) | −2.47868 | − | 1.71091i | −0.203746 | − | 0.140636i | ||||
\(149\) | 3.11512 | − | 0.378244i | 0.255200 | − | 0.0309869i | 0.00806335 | − | 0.999967i | \(-0.497433\pi\) |
0.247137 | + | 0.968981i | \(0.420510\pi\) | |||||||
\(150\) | 3.46679i | 0.283062i | ||||||||
\(151\) | 11.3638 | + | 1.37981i | 0.924772 | + | 0.112288i | 0.569049 | − | 0.822304i | \(-0.307312\pi\) |
0.355723 | + | 0.934591i | \(0.384235\pi\) | |||||||
\(152\) | 6.97379 | + | 10.1033i | 0.565649 | + | 0.819484i | ||||
\(153\) | 20.8011 | + | 5.12700i | 1.68167 | + | 0.414494i | ||||
\(154\) | −0.644835 | + | 0.445097i | −0.0519623 | + | 0.0358670i | ||||
\(155\) | −3.41959 | − | 0.842853i | −0.274668 | − | 0.0676996i | ||||
\(156\) | −5.36633 | − | 1.32629i | −0.429650 | − | 0.106188i | ||||
\(157\) | −3.91914 | + | 0.965981i | −0.312781 | + | 0.0770936i | −0.392581 | − | 0.919717i | \(-0.628418\pi\) |
0.0798003 | + | 0.996811i | \(0.474572\pi\) | |||||||
\(158\) | −4.37187 | + | 4.93482i | −0.347807 | + | 0.392593i | ||||
\(159\) | −8.76088 | + | 12.6923i | −0.694783 | + | 1.00657i | ||||
\(160\) | 2.19898 | − | 1.94812i | 0.173844 | − | 0.154013i | ||||
\(161\) | 6.47992 | − | 4.47276i | 0.510689 | − | 0.352503i | ||||
\(162\) | −2.46794 | + | 1.70349i | −0.193899 | + | 0.133839i | ||||
\(163\) | 9.52611 | − | 18.1505i | 0.746142 | − | 1.42166i | −0.154903 | − | 0.987930i | \(-0.549506\pi\) |
0.901045 | − | 0.433726i | \(-0.142801\pi\) | |||||||
\(164\) | −1.32718 | − | 5.38456i | −0.103635 | − | 0.420464i | ||||
\(165\) | −0.212514 | + | 1.75021i | −0.0165442 | + | 0.136254i | ||||
\(166\) | −4.30616 | − | 11.3544i | −0.334223 | − | 0.881272i | ||||
\(167\) | −8.99097 | − | 10.1487i | −0.695742 | − | 0.785330i | 0.289375 | − | 0.957216i | \(-0.406553\pi\) |
−0.985117 | + | 0.171885i | \(0.945014\pi\) | |||||||
\(168\) | 9.24463 | 0.713239 | ||||||||
\(169\) | 7.37126 | + | 10.7082i | 0.567020 | + | 0.823704i | ||||
\(170\) | 4.98137 | 0.382054 | ||||||||
\(171\) | 13.8099 | + | 15.5882i | 1.05607 | + | 1.19206i | ||||
\(172\) | 2.10464 | + | 5.54947i | 0.160477 | + | 0.423143i | ||||
\(173\) | −0.956821 | + | 7.88013i | −0.0727457 | + | 0.599115i | 0.910061 | + | 0.414475i | \(0.136035\pi\) |
−0.982806 | + | 0.184640i | \(0.940888\pi\) | |||||||
\(174\) | 2.27658 | + | 9.23644i | 0.172587 | + | 0.700213i | ||||
\(175\) | 0.488810 | − | 0.931350i | 0.0369506 | − | 0.0704034i | ||||
\(176\) | −1.33884 | + | 0.924132i | −0.100919 | + | 0.0696590i | ||||
\(177\) | 7.17572 | − | 4.95304i | 0.539360 | − | 0.372293i | ||||
\(178\) | −2.58710 | + | 2.29197i | −0.193912 | + | 0.171791i | ||||
\(179\) | −0.453235 | + | 0.656624i | −0.0338764 | + | 0.0490784i | −0.839556 | − | 0.543273i | \(-0.817185\pi\) |
0.805680 | + | 0.592351i | \(0.201800\pi\) | |||||||
\(180\) | 1.84740 | − | 2.08529i | 0.137697 | − | 0.155428i | ||||
\(181\) | 2.01141 | − | 0.495768i | 0.149507 | − | 0.0368502i | −0.163852 | − | 0.986485i | \(-0.552392\pi\) |
0.313359 | + | 0.949635i | \(0.398546\pi\) | |||||||
\(182\) | −3.43365 | − | 3.04584i | −0.254519 | − | 0.225773i | ||||
\(183\) | 26.0638 | + | 6.42415i | 1.92669 | + | 0.474887i | ||||
\(184\) | 18.9028 | − | 13.0476i | 1.39353 | − | 0.961885i | ||||
\(185\) | −5.46366 | − | 1.34667i | −0.401697 | − | 0.0990093i | ||||
\(186\) | −6.93594 | − | 10.0484i | −0.508568 | − | 0.736788i | ||||
\(187\) | 2.51485 | + | 0.305358i | 0.183904 | + | 0.0223300i | ||||
\(188\) | 4.07974i | 0.297545i | ||||||||
\(189\) | 6.59534 | − | 0.800820i | 0.479741 | − | 0.0582511i | ||||
\(190\) | 3.98515 | + | 2.75075i | 0.289114 | + | 0.199561i | ||||
\(191\) | −24.9492 | −1.80526 | −0.902631 | − | 0.430414i | \(-0.858367\pi\) | ||||
−0.902631 | + | 0.430414i | \(0.858367\pi\) | |||||||
\(192\) | 25.3267 | 1.82780 | ||||||||
\(193\) | 9.49359 | + | 6.55295i | 0.683364 | + | 0.471692i | 0.858474 | − | 0.512857i | \(-0.171413\pi\) |
−0.175110 | + | 0.984549i | \(0.556028\pi\) | |||||||
\(194\) | −9.59961 | + | 5.03827i | −0.689212 | + | 0.361726i | ||||
\(195\) | −10.2534 | + | 1.23839i | −0.734263 | + | 0.0886830i | ||||
\(196\) | 2.79312 | + | 1.46594i | 0.199509 | + | 0.104710i | ||||
\(197\) | 8.72214 | + | 16.6187i | 0.621427 | + | 1.18403i | 0.969159 | + | 0.246436i | \(0.0792596\pi\) |
−0.347732 | + | 0.937594i | \(0.613048\pi\) | |||||||
\(198\) | −2.90227 | + | 2.57119i | −0.206256 | + | 0.182727i | ||||
\(199\) | −12.3494 | − | 3.04385i | −0.875424 | − | 0.215773i | −0.224095 | − | 0.974567i | \(-0.571942\pi\) |
−0.651330 | + | 0.758795i | \(0.725789\pi\) | |||||||
\(200\) | 1.42592 | − | 2.71687i | 0.100828 | − | 0.192112i | ||||
\(201\) | −19.9062 | − | 37.9282i | −1.40408 | − | 2.67525i | ||||
\(202\) | 16.5736 | + | 6.28552i | 1.16611 | + | 0.442248i | ||||
\(203\) | 0.690719 | − | 2.80236i | 0.0484790 | − | 0.196687i | ||||
\(204\) | −4.72327 | − | 4.18445i | −0.330695 | − | 0.292970i | ||||
\(205\) | −5.88595 | − | 8.52727i | −0.411093 | − | 0.595570i | ||||
\(206\) | −4.41339 | + | 8.40900i | −0.307495 | + | 0.585883i | ||||
\(207\) | 29.1648 | − | 25.8378i | 2.02709 | − | 1.79585i | ||||
\(208\) | −7.12911 | − | 6.32391i | −0.494314 | − | 0.438484i | ||||
\(209\) | 1.84329 | + | 1.63301i | 0.127503 | + | 0.112958i | ||||
\(210\) | 3.40951 | − | 1.29306i | 0.235278 | − | 0.0892294i | ||||
\(211\) | −3.23864 | − | 26.6726i | −0.222957 | − | 1.83622i | −0.489032 | − | 0.872266i | \(-0.662650\pi\) |
0.266075 | − | 0.963952i | \(-0.414273\pi\) | |||||||
\(212\) | 2.55161 | − | 1.33919i | 0.175245 | − | 0.0919757i | ||||
\(213\) | −31.2152 | − | 35.2347i | −2.13883 | − | 2.41424i | ||||
\(214\) | −0.613962 | − | 0.423787i | −0.0419696 | − | 0.0289695i | ||||
\(215\) | 7.35338 | + | 8.30025i | 0.501497 | + | 0.566073i | ||||
\(216\) | 19.2395 | − | 2.33610i | 1.30908 | − | 0.158951i | ||||
\(217\) | 0.446525 | + | 3.67746i | 0.0303121 | + | 0.249643i | ||||
\(218\) | 0.510679 | − | 1.34655i | 0.0345875 | − | 0.0911999i | ||||
\(219\) | 23.2485 | + | 8.81699i | 1.57099 | + | 0.595797i | ||||
\(220\) | 0.187138 | − | 0.271117i | 0.0126169 | − | 0.0182787i | ||||
\(221\) | 1.77942 | + | 14.7330i | 0.119697 | + | 0.991048i | ||||
\(222\) | −11.0819 | − | 16.0550i | −0.743771 | − | 1.07754i | ||||
\(223\) | 2.43120 | + | 9.86375i | 0.162805 | + | 0.660525i | 0.994449 | + | 0.105217i | \(0.0335537\pi\) |
−0.831644 | + | 0.555309i | \(0.812600\pi\) | |||||||
\(224\) | −2.73612 | − | 1.43603i | −0.182815 | − | 0.0959487i | ||||
\(225\) | 1.84575 | − | 4.86685i | 0.123050 | − | 0.324457i | ||||
\(226\) | 2.25561 | − | 0.855438i | 0.150041 | − | 0.0569029i | ||||
\(227\) | 8.61293 | + | 1.04580i | 0.571660 | + | 0.0694121i | 0.401262 | − | 0.915963i | \(-0.368572\pi\) |
0.170398 | + | 0.985375i | \(0.445495\pi\) | |||||||
\(228\) | −1.46798 | − | 5.95584i | −0.0972195 | − | 0.394435i | ||||
\(229\) | −4.48330 | − | 8.54222i | −0.296265 | − | 0.564486i | 0.691136 | − | 0.722725i | \(-0.257111\pi\) |
−0.987401 | + | 0.158239i | \(0.949418\pi\) | |||||||
\(230\) | 5.14654 | − | 7.45605i | 0.339353 | − | 0.491637i | ||||
\(231\) | 1.80056 | − | 0.443798i | 0.118468 | − | 0.0291998i | ||||
\(232\) | 2.01492 | − | 8.17485i | 0.132286 | − | 0.536705i | ||||
\(233\) | −0.878437 | + | 2.31625i | −0.0575483 | + | 0.151742i | −0.960707 | − | 0.277564i | \(-0.910473\pi\) |
0.903159 | + | 0.429307i | \(0.141242\pi\) | |||||||
\(234\) | −18.6847 | − | 12.9146i | −1.22146 | − | 0.844257i | ||||
\(235\) | 2.70295 | + | 7.12709i | 0.176321 | + | 0.464920i | ||||
\(236\) | −1.61731 | + | 0.196377i | −0.105278 | + | 0.0127830i | ||||
\(237\) | 13.8165 | − | 7.25144i | 0.897476 | − | 0.471032i | ||||
\(238\) | −1.85797 | − | 4.89907i | −0.120434 | − | 0.317560i | ||||
\(239\) | 9.08226i | 0.587483i | 0.955885 | + | 0.293741i | \(0.0949004\pi\) | ||||
−0.955885 | + | 0.293741i | \(0.905100\pi\) | |||||||
\(240\) | 7.07898 | − | 2.68470i | 0.456946 | − | 0.173297i | ||||
\(241\) | −0.0458787 | + | 0.186137i | −0.00295531 | + | 0.0119902i | −0.972401 | − | 0.233316i | \(-0.925042\pi\) |
0.969446 | + | 0.245306i | \(0.0788885\pi\) | |||||||
\(242\) | 8.52415 | − | 9.62177i | 0.547953 | − | 0.618511i | ||||
\(243\) | −11.5074 | + | 2.83632i | −0.738201 | + | 0.181950i | ||||
\(244\) | −3.75439 | − | 3.32610i | −0.240350 | − | 0.212932i | ||||
\(245\) | 5.85068 | + | 0.710401i | 0.373786 | + | 0.0453859i | ||||
\(246\) | 4.32977 | − | 35.6589i | 0.276056 | − | 2.27353i | ||||
\(247\) | −6.71212 | + | 12.7692i | −0.427082 | + | 0.812483i | ||||
\(248\) | 1.30257 | + | 10.7277i | 0.0827135 | + | 0.681207i | ||||
\(249\) | 28.7410i | 1.82139i | ||||||||
\(250\) | 0.145883 | − | 1.20145i | 0.00922644 | − | 0.0759866i | ||||
\(251\) | 7.81331 | + | 4.10074i | 0.493172 | + | 0.258837i | 0.692925 | − | 0.721010i | \(-0.256322\pi\) |
−0.199753 | + | 0.979846i | \(0.564014\pi\) | |||||||
\(252\) | −2.73989 | − | 1.03910i | −0.172597 | − | 0.0654573i | ||||
\(253\) | 3.05529 | − | 3.44871i | 0.192085 | − | 0.216819i | ||||
\(254\) | 12.4176 | − | 14.0166i | 0.779151 | − | 0.879480i | ||||
\(255\) | −11.0236 | − | 4.18071i | −0.690327 | − | 0.261806i | ||||
\(256\) | −10.4869 | − | 5.50392i | −0.655428 | − | 0.343995i | ||||
\(257\) | 0.344247 | − | 2.83513i | 0.0214735 | − | 0.176850i | −0.978026 | − | 0.208483i | \(-0.933148\pi\) |
0.999500 | + | 0.0316324i | \(0.0100706\pi\) | |||||||
\(258\) | 38.4433i | 2.39337i | ||||||||
\(259\) | 0.713437 | + | 5.87568i | 0.0443308 | + | 0.365097i | ||||
\(260\) | 1.80395 | + | 0.685458i | 0.111876 | + | 0.0425103i | ||||
\(261\) | 1.72160 | − | 14.1787i | 0.106564 | − | 0.877637i | ||||
\(262\) | 13.8139 | + | 1.67731i | 0.853423 | + | 0.103624i | ||||
\(263\) | 15.5102 | + | 13.7409i | 0.956402 | + | 0.847298i | 0.988351 | − | 0.152191i | \(-0.0486329\pi\) |
−0.0319489 | + | 0.999490i | \(0.510171\pi\) | |||||||
\(264\) | 5.25247 | − | 1.29462i | 0.323267 | − | 0.0796782i | ||||
\(265\) | 3.57028 | − | 4.03001i | 0.219320 | − | 0.247561i | ||||
\(266\) | 1.21891 | − | 4.94530i | 0.0747360 | − | 0.303216i | ||||
\(267\) | 7.64877 | − | 2.90080i | 0.468097 | − | 0.177526i | ||||
\(268\) | 8.00372i | 0.488905i | ||||||||
\(269\) | 1.00287 | + | 2.64435i | 0.0611461 | + | 0.161229i | 0.962108 | − | 0.272670i | \(-0.0879067\pi\) |
−0.900962 | + | 0.433899i | \(0.857137\pi\) | |||||||
\(270\) | 6.76896 | − | 3.55262i | 0.411946 | − | 0.216206i | ||||
\(271\) | 5.15851 | − | 0.626357i | 0.313357 | − | 0.0380485i | 0.0376528 | − | 0.999291i | \(-0.488012\pi\) |
0.275705 | + | 0.961242i | \(0.411089\pi\) | |||||||
\(272\) | −3.85761 | − | 10.1717i | −0.233902 | − | 0.616748i | ||||
\(273\) | 5.04230 | + | 9.62212i | 0.305174 | + | 0.582357i | ||||
\(274\) | 1.58012 | − | 4.16645i | 0.0954588 | − | 0.251704i | ||||
\(275\) | 0.147298 | − | 0.597612i | 0.00888242 | − | 0.0360374i | ||||
\(276\) | −11.1431 | + | 2.74653i | −0.670736 | + | 0.165322i | ||||
\(277\) | 14.2300 | − | 20.6156i | 0.854995 | − | 1.23867i | −0.114466 | − | 0.993427i | \(-0.536516\pi\) |
0.969461 | − | 0.245247i | \(-0.0788690\pi\) | |||||||
\(278\) | −5.56989 | − | 10.6125i | −0.334060 | − | 0.636498i | ||||
\(279\) | 4.38713 | + | 17.7993i | 0.262651 | + | 1.06562i | ||||
\(280\) | −3.20383 | − | 0.389016i | −0.191466 | − | 0.0232481i | ||||
\(281\) | 6.22032 | − | 2.35906i | 0.371073 | − | 0.140729i | −0.162017 | − | 0.986788i | \(-0.551800\pi\) |
0.533090 | + | 0.846059i | \(0.321031\pi\) | |||||||
\(282\) | −9.37055 | + | 24.7081i | −0.558008 | + | 1.47135i | ||||
\(283\) | 23.5477 | + | 12.3588i | 1.39976 | + | 0.734653i | 0.984555 | − | 0.175073i | \(-0.0560163\pi\) |
0.415209 | + | 0.909726i | \(0.363709\pi\) | |||||||
\(284\) | 2.10494 | + | 8.54010i | 0.124906 | + | 0.506762i | ||||
\(285\) | −6.51041 | − | 9.43196i | −0.385644 | − | 0.558701i | ||||
\(286\) | −2.37742 | − | 1.24969i | −0.140580 | − | 0.0738957i | ||||
\(287\) | −6.19102 | + | 8.96924i | −0.365444 | + | 0.529438i | ||||
\(288\) | −14.2979 | − | 5.42246i | −0.842509 | − | 0.319522i | ||||
\(289\) | 0.0210835 | − | 0.0555926i | 0.00124021 | − | 0.00327016i | ||||
\(290\) | −0.400303 | − | 3.29679i | −0.0235066 | − | 0.193594i | ||||
\(291\) | 25.4721 | − | 3.09288i | 1.49320 | − | 0.181308i | ||||
\(292\) | −3.08082 | − | 3.47753i | −0.180291 | − | 0.203507i | ||||
\(293\) | −0.895811 | − | 0.618334i | −0.0523339 | − | 0.0361235i | 0.541611 | − | 0.840629i | \(-0.317815\pi\) |
−0.593944 | + | 0.804506i | \(0.702430\pi\) | |||||||
\(294\) | 13.5489 | + | 15.2936i | 0.790190 | + | 0.891940i | ||||
\(295\) | −2.69525 | + | 1.41458i | −0.156924 | + | 0.0823599i | ||||
\(296\) | 2.08119 | + | 17.1402i | 0.120967 | + | 0.996251i | ||||
\(297\) | 3.63509 | − | 1.37861i | 0.210929 | − | 0.0799950i | ||||
\(298\) | −2.84273 | − | 2.51844i | −0.164675 | − | 0.145889i | ||||
\(299\) | 23.8906 | + | 12.5581i | 1.38163 | + | 0.726252i | ||||
\(300\) | −1.14757 | + | 1.01666i | −0.0662549 | + | 0.0586967i | ||||
\(301\) | 5.42043 | − | 10.3278i | 0.312428 | − | 0.595282i | ||||
\(302\) | −7.87017 | − | 11.4019i | −0.452877 | − | 0.656106i | ||||
\(303\) | −31.4016 | − | 27.8194i | −1.80397 | − | 1.59818i | ||||
\(304\) | 2.53075 | − | 10.2677i | 0.145149 | − | 0.588891i | ||||
\(305\) | −8.76237 | − | 3.32313i | −0.501732 | − | 0.190282i | ||||
\(306\) | −12.0496 | − | 22.9586i | −0.688829 | − | 1.31245i | ||||
\(307\) | −11.9961 | + | 22.8567i | −0.684654 | + | 1.30450i | 0.256508 | + | 0.966542i | \(0.417428\pi\) |
−0.941162 | + | 0.337957i | \(0.890264\pi\) | |||||||
\(308\) | −0.336437 | − | 0.0829244i | −0.0191703 | − | 0.00472505i | ||||
\(309\) | 16.8241 | − | 14.9049i | 0.957091 | − | 0.847909i | ||||
\(310\) | 1.98089 | + | 3.77427i | 0.112507 | + | 0.214364i | ||||
\(311\) | 3.08660 | + | 1.61997i | 0.175025 | + | 0.0918603i | 0.549961 | − | 0.835191i | \(-0.314643\pi\) |
−0.374935 | + | 0.927051i | \(0.622335\pi\) | |||||||
\(312\) | 14.7090 | + | 28.0690i | 0.832736 | + | 1.58909i | ||||
\(313\) | 16.9752 | − | 8.90930i | 0.959498 | − | 0.503583i | 0.0891486 | − | 0.996018i | \(-0.471585\pi\) |
0.870349 | + | 0.492435i | \(0.163893\pi\) | |||||||
\(314\) | 4.02044 | + | 2.77511i | 0.226887 | + | 0.156608i | ||||
\(315\) | −5.47488 | −0.308475 | ||||||||
\(316\) | −2.91559 | −0.164015 | ||||||||
\(317\) | −7.38719 | − | 5.09901i | −0.414906 | − | 0.286389i | 0.342268 | − | 0.939602i | \(-0.388805\pi\) |
−0.757174 | + | 0.653214i | \(0.773420\pi\) | |||||||
\(318\) | 18.5292 | − | 2.24985i | 1.03907 | − | 0.126165i | ||||
\(319\) | − | 1.68893i | − | 0.0945618i | ||||||
\(320\) | −8.77724 | − | 1.06575i | −0.490663 | − | 0.0595773i | ||||
\(321\) | 1.00301 | + | 1.45311i | 0.0559825 | + | 0.0811046i | ||||
\(322\) | −9.25244 | − | 2.28052i | −0.515618 | − | 0.127089i | ||||
\(323\) | −13.5526 | + | 9.35471i | −0.754089 | + | 0.520510i | ||||
\(324\) | −1.28763 | − | 0.317371i | −0.0715348 | − | 0.0176317i | ||||
\(325\) | 3.60555 | + | 0.00228746i | 0.200000 | + | 0.000126885i | ||||
\(326\) | −24.0879 | + | 5.93714i | −1.33411 | + | 0.328828i | ||||
\(327\) | −2.26024 | + | 2.55128i | −0.124991 | + | 0.141086i | ||||
\(328\) | −18.0600 | + | 26.1645i | −0.997199 | + | 1.44469i | ||||
\(329\) | 6.00119 | − | 5.31659i | 0.330856 | − | 0.293113i | ||||
\(330\) | 1.75608 | − | 1.21214i | 0.0966691 | − | 0.0667259i | ||||
\(331\) | −19.2460 | + | 13.2845i | −1.05785 | + | 0.730184i | −0.964134 | − | 0.265415i | \(-0.914491\pi\) |
−0.0937198 | + | 0.995599i | \(0.529876\pi\) | |||||||
\(332\) | 2.49570 | − | 4.75517i | 0.136970 | − | 0.260974i | ||||
\(333\) | 7.00956 | + | 28.4389i | 0.384122 | + | 1.55844i | ||||
\(334\) | −1.97796 | + | 16.2899i | −0.108229 | + | 0.891346i | ||||
\(335\) | 5.30271 | + | 13.9821i | 0.289718 | + | 0.763923i | ||||
\(336\) | −5.28069 | − | 5.96067i | −0.288086 | − | 0.325181i | ||||
\(337\) | −6.21592 | −0.338603 | −0.169301 | − | 0.985564i | \(-0.554151\pi\) | ||||
−0.169301 | + | 0.985564i | \(0.554151\pi\) | |||||||
\(338\) | 3.78468 | − | 15.2716i | 0.205859 | − | 0.830667i | ||||
\(339\) | −5.70954 | −0.310099 | ||||||||
\(340\) | 1.46082 | + | 1.64892i | 0.0792240 | + | 0.0894254i | ||||
\(341\) | 0.768691 | + | 2.02687i | 0.0416270 | + | 0.109761i | ||||
\(342\) | 3.03810 | − | 25.0210i | 0.164282 | − | 1.35298i | ||||
\(343\) | −3.24558 | − | 13.1679i | −0.175245 | − | 0.710997i | ||||
\(344\) | 15.8121 | − | 30.1275i | 0.852532 | − | 1.62436i | ||||
\(345\) | −17.6468 | + | 12.1807i | −0.950071 | + | 0.655786i | ||||
\(346\) | 7.90656 | − | 5.45750i | 0.425059 | − | 0.293397i | ||||
\(347\) | −9.24386 | + | 8.18935i | −0.496236 | + | 0.439627i | −0.873749 | − | 0.486377i | \(-0.838318\pi\) |
0.377512 | + | 0.926005i | \(0.376780\pi\) | |||||||
\(348\) | −2.38981 | + | 3.46223i | −0.128107 | + | 0.185595i | ||||
\(349\) | −0.532530 | + | 0.601102i | −0.0285057 | + | 0.0321763i | −0.762591 | − | 0.646881i | \(-0.776073\pi\) |
0.734085 | + | 0.679058i | \(0.237611\pi\) | |||||||
\(350\) | −1.23602 | + | 0.304651i | −0.0660678 | + | 0.0162843i | ||||
\(351\) | 12.9253 | + | 18.7509i | 0.689900 | + | 1.00085i | ||||
\(352\) | −1.75567 | − | 0.432733i | −0.0935774 | − | 0.0230648i | ||||
\(353\) | −6.25870 | + | 4.32007i | −0.333117 | + | 0.229934i | −0.722868 | − | 0.690986i | \(-0.757176\pi\) |
0.389751 | + | 0.920920i | \(0.372561\pi\) | |||||||
\(354\) | −10.2460 | − | 2.52540i | −0.544566 | − | 0.134224i | ||||
\(355\) | 9.33531 | + | 13.5245i | 0.495467 | + | 0.717808i | ||||
\(356\) | −1.51737 | − | 0.184242i | −0.0804204 | − | 0.00976480i | ||||
\(357\) | 12.4008i | 0.656322i | ||||||||
\(358\) | 0.958589 | − | 0.116394i | 0.0506630 | − | 0.00615160i | ||||
\(359\) | −19.4853 | − | 13.4498i | −1.02840 | − | 0.709851i | −0.0706606 | − | 0.997500i | \(-0.522511\pi\) |
−0.957736 | + | 0.287650i | \(0.907126\pi\) | |||||||
\(360\) | −15.9710 | −0.841743 | ||||||||
\(361\) | 2.99198 | 0.157472 | ||||||||
\(362\) | −2.06340 | − | 1.42426i | −0.108450 | − | 0.0748577i | ||||
\(363\) | −26.9390 | + | 14.1387i | −1.41393 | + | 0.742087i | ||||
\(364\) | 0.00128777 | − | 2.02981i | 6.74973e−5 | − | 0.106391i | ||||
\(365\) | −7.68601 | − | 4.03393i | −0.402304 | − | 0.211145i | ||||
\(366\) | −15.0981 | − | 28.7671i | −0.789193 | − | 1.50368i | ||||
\(367\) | 9.26369 | − | 8.20692i | 0.483561 | − | 0.428397i | −0.385795 | − | 0.922585i | \(-0.626073\pi\) |
0.869356 | + | 0.494187i | \(0.164534\pi\) | |||||||
\(368\) | −19.2103 | − | 4.73492i | −1.00141 | − | 0.246825i | ||||
\(369\) | −25.0635 | + | 47.7545i | −1.30475 | + | 2.48600i | ||||
\(370\) | 3.16497 | + | 6.03035i | 0.164539 | + | 0.313503i | ||||
\(371\) | −5.29508 | − | 2.00816i | −0.274907 | − | 0.104258i | ||||
\(372\) | 1.29221 | − | 5.24269i | 0.0669979 | − | 0.271821i | ||||
\(373\) | −21.7310 | − | 19.2520i | −1.12519 | − | 0.996832i | −0.999989 | − | 0.00470062i | \(-0.998504\pi\) |
−0.125202 | − | 0.992131i | \(-0.539958\pi\) | |||||||
\(374\) | −1.74170 | − | 2.52329i | −0.0900611 | − | 0.130476i | ||||
\(375\) | −1.33118 | + | 2.53635i | −0.0687417 | + | 0.130976i | ||||
\(376\) | 17.5063 | − | 15.5092i | 0.902817 | − | 0.799826i | ||||
\(377\) | 9.60765 | − | 2.36161i | 0.494819 | − | 0.121629i | ||||
\(378\) | −6.01864 | − | 5.33205i | −0.309566 | − | 0.274251i | ||||
\(379\) | 24.2860 | − | 9.21045i | 1.24749 | − | 0.473109i | 0.359572 | − | 0.933117i | \(-0.382923\pi\) |
0.887915 | + | 0.460008i | \(0.152154\pi\) | |||||||
\(380\) | 0.258123 | + | 2.12583i | 0.0132414 | + | 0.109053i | ||||
\(381\) | −39.2436 | + | 20.5966i | −2.01051 | + | 1.05520i | ||||
\(382\) | 20.0233 | + | 22.6017i | 1.02448 | + | 1.15640i | ||||
\(383\) | −19.5099 | − | 13.4667i | −0.996911 | − | 0.688118i | −0.0464367 | − | 0.998921i | \(-0.514787\pi\) |
−0.950474 | + | 0.310803i | \(0.899402\pi\) | |||||||
\(384\) | −9.16561 | − | 10.3458i | −0.467731 | − | 0.527959i | ||||
\(385\) | −0.642679 | + | 0.0780354i | −0.0327540 | + | 0.00397705i | ||||
\(386\) | −1.68284 | − | 13.8595i | −0.0856544 | − | 0.705428i | ||||
\(387\) | 20.4676 | − | 53.9686i | 1.04043 | − | 2.74338i | ||||
\(388\) | −4.48291 | − | 1.70014i | −0.227585 | − | 0.0863116i | ||||
\(389\) | 9.04386 | − | 13.1023i | 0.458542 | − | 0.664313i | −0.523706 | − | 0.851899i | \(-0.675451\pi\) |
0.982248 | + | 0.187586i | \(0.0600664\pi\) | |||||||
\(390\) | 9.35088 | + | 8.29475i | 0.473500 | + | 0.420021i | ||||
\(391\) | 17.5022 | + | 25.3564i | 0.885127 | + | 1.28233i | ||||
\(392\) | −4.32771 | − | 17.5582i | −0.218582 | − | 0.886823i | ||||
\(393\) | −29.1620 | − | 15.3054i | −1.47103 | − | 0.772054i | ||||
\(394\) | 8.05487 | − | 21.2390i | 0.405799 | − | 1.07000i | ||||
\(395\) | −5.09339 | + | 1.93167i | −0.256276 | + | 0.0971928i | ||||
\(396\) | −1.70222 | − | 0.206687i | −0.0855398 | − | 0.0103864i | ||||
\(397\) | −5.97359 | − | 24.2358i | −0.299806 | − | 1.21636i | −0.906768 | − | 0.421629i | \(-0.861458\pi\) |
0.606963 | − | 0.794730i | \(-0.292388\pi\) | |||||||
\(398\) | 7.15371 | + | 13.6303i | 0.358583 | + | 0.683223i | ||||
\(399\) | −6.84785 | + | 9.92083i | −0.342821 | + | 0.496663i | ||||
\(400\) | −2.56627 | + | 0.632529i | −0.128314 | + | 0.0316265i | ||||
\(401\) | 4.09516 | − | 16.6147i | 0.204502 | − | 0.829699i | −0.775603 | − | 0.631221i | \(-0.782554\pi\) |
0.980105 | − | 0.198478i | \(-0.0635998\pi\) | |||||||
\(402\) | −18.3834 | + | 48.4729i | −0.916878 | + | 2.41761i | ||||
\(403\) | −10.4552 | + | 7.20694i | −0.520812 | + | 0.359003i | ||||
\(404\) | 2.77968 | + | 7.32942i | 0.138294 | + | 0.364652i | ||||
\(405\) | −2.45969 | + | 0.298660i | −0.122223 | + | 0.0148405i | ||||
\(406\) | −3.09302 | + | 1.62334i | −0.153504 | + | 0.0805650i | ||||
\(407\) | 1.22818 | + | 3.23844i | 0.0608786 | + | 0.160524i | ||||
\(408\) | 36.1749i | 1.79093i | ||||||||
\(409\) | −28.6660 | + | 10.8716i | −1.41744 | + | 0.537564i | −0.940023 | − | 0.341112i | \(-0.889197\pi\) |
−0.477418 | + | 0.878676i | \(0.658427\pi\) | |||||||
\(410\) | −3.00106 | + | 12.1758i | −0.148212 | + | 0.601319i | ||||
\(411\) | −6.99354 | + | 7.89408i | −0.344966 | + | 0.389386i | ||||
\(412\) | −4.07779 | + | 1.00508i | −0.200898 | + | 0.0495169i | ||||
\(413\) | 2.39649 | + | 2.12311i | 0.117924 | + | 0.104471i | ||||
\(414\) | −46.8132 | − | 5.68415i | −2.30074 | − | 0.279361i | ||||
\(415\) | 1.20943 | − | 9.96052i | 0.0593684 | − | 0.488943i | ||||
\(416\) | 0.00672010 | − | 10.5924i | 0.000329480 | − | 0.519335i | ||||
\(417\) | 3.41923 | + | 28.1599i | 0.167441 | + | 1.37900i | ||||
\(418\) | − | 2.98044i | − | 0.145778i | ||||||
\(419\) | 0.541311 | − | 4.45809i | 0.0264448 | − | 0.217792i | −0.973496 | − | 0.228705i | \(-0.926551\pi\) |
0.999940 | + | 0.0109132i | \(0.00347384\pi\) | |||||||
\(420\) | 1.42789 | + | 0.749412i | 0.0696737 | + | 0.0365676i | ||||
\(421\) | −10.0885 | − | 3.82605i | −0.491682 | − | 0.186470i | 0.0962873 | − | 0.995354i | \(-0.469303\pi\) |
−0.587969 | + | 0.808883i | \(0.700072\pi\) | |||||||
\(422\) | −21.5637 | + | 24.3403i | −1.04970 | + | 1.18487i | ||||
\(423\) | 26.3097 | − | 29.6975i | 1.27922 | − | 1.44394i | ||||
\(424\) | −15.4465 | − | 5.85807i | −0.750147 | − | 0.284493i | ||||
\(425\) | 3.64444 | + | 1.91275i | 0.176781 | + | 0.0927820i | ||||
\(426\) | −6.86716 | + | 56.5561i | −0.332715 | + | 2.74015i | ||||
\(427\) | 9.85708i | 0.477018i | ||||||||
\(428\) | −0.0397670 | − | 0.327511i | −0.00192221 | − | 0.0158308i | ||||
\(429\) | 4.21233 | + | 4.76082i | 0.203373 | + | 0.229855i | ||||
\(430\) | 1.61770 | − | 13.3229i | 0.0780124 | − | 0.642490i | ||||
\(431\) | −35.8277 | − | 4.35027i | −1.72576 | − | 0.209545i | −0.803282 | − | 0.595599i | \(-0.796915\pi\) |
−0.922476 | + | 0.386054i | \(0.873838\pi\) | |||||||
\(432\) | −12.4962 | − | 11.0707i | −0.601223 | − | 0.532637i | ||||
\(433\) | −18.4416 | + | 4.54546i | −0.886249 | + | 0.218441i | −0.656063 | − | 0.754706i | \(-0.727780\pi\) |
−0.230186 | + | 0.973147i | \(0.573933\pi\) | |||||||
\(434\) | 2.97307 | − | 3.35590i | 0.142712 | − | 0.161089i | ||||
\(435\) | −1.88104 | + | 7.63167i | −0.0901888 | + | 0.365910i | ||||
\(436\) | 0.595492 | − | 0.225840i | 0.0285189 | − | 0.0108158i | ||||
\(437\) | 29.9503i | 1.43272i | ||||||||
\(438\) | −10.6710 | − | 28.1371i | −0.509880 | − | 1.34444i | ||||
\(439\) | 28.2004 | − | 14.8007i | 1.34593 | − | 0.706400i | 0.370945 | − | 0.928655i | \(-0.379034\pi\) |
0.974989 | + | 0.222254i | \(0.0713415\pi\) | |||||||
\(440\) | −1.87478 | + | 0.227640i | −0.0893766 | + | 0.0108523i | ||||
\(441\) | −10.8782 | − | 28.6835i | −0.518011 | − | 1.36588i | ||||
\(442\) | 11.9186 | − | 13.4361i | 0.566910 | − | 0.639091i | ||||
\(443\) | −2.33217 | + | 6.14941i | −0.110805 | + | 0.292167i | −0.978936 | − | 0.204166i | \(-0.934552\pi\) |
0.868132 | + | 0.496334i | \(0.165321\pi\) | |||||||
\(444\) | 2.06463 | − | 8.37654i | 0.0979831 | − | 0.397533i | ||||
\(445\) | −2.77283 | + | 0.683442i | −0.131445 | + | 0.0323983i | ||||
\(446\) | 6.98444 | − | 10.1187i | 0.330723 | − | 0.479135i | ||||
\(447\) | 4.17723 | + | 7.95905i | 0.197576 | + | 0.376450i | ||||
\(448\) | 2.22563 | + | 9.02974i | 0.105151 | + | 0.426615i | ||||
\(449\) | 28.6899 | + | 3.48359i | 1.35396 | + | 0.164401i | 0.765141 | − | 0.643863i | \(-0.222669\pi\) |
0.588821 | + | 0.808263i | \(0.299592\pi\) | |||||||
\(450\) | −5.89024 | + | 2.23387i | −0.277669 | + | 0.105306i | ||||
\(451\) | −2.26146 | + | 5.96299i | −0.106488 | + | 0.280786i | ||||
\(452\) | 0.944637 | + | 0.495783i | 0.0444320 | + | 0.0233197i | ||||
\(453\) | 7.84719 | + | 31.8373i | 0.368693 | + | 1.49585i | ||||
\(454\) | −5.96502 | − | 8.64182i | −0.279952 | − | 0.405581i | ||||
\(455\) | −1.34256 | − | 3.54684i | −0.0629404 | − | 0.166278i | ||||
\(456\) | −19.9761 | + | 28.9404i | −0.935466 | + | 1.35526i | ||||
\(457\) | −12.0423 | − | 4.56704i | −0.563314 | − | 0.213637i | 0.0564766 | − | 0.998404i | \(-0.482013\pi\) |
−0.619791 | + | 0.784767i | \(0.712783\pi\) | |||||||
\(458\) | −4.14032 | + | 10.9171i | −0.193464 | + | 0.510123i | ||||
\(459\) | 3.13367 | + | 25.8081i | 0.146267 | + | 1.20462i | ||||
\(460\) | 3.97734 | − | 0.482937i | 0.185445 | − | 0.0225170i | ||||
\(461\) | −20.0404 | − | 22.6209i | −0.933373 | − | 1.05356i | −0.998449 | − | 0.0556805i | \(-0.982267\pi\) |
0.0650752 | − | 0.997880i | \(-0.479271\pi\) | |||||||
\(462\) | −1.84710 | − | 1.27496i | −0.0859349 | − | 0.0593166i | ||||
\(463\) | −10.5970 | − | 11.9616i | −0.492487 | − | 0.555902i | 0.448747 | − | 0.893659i | \(-0.351870\pi\) |
−0.941234 | + | 0.337756i | \(0.890332\pi\) | |||||||
\(464\) | −6.42186 | + | 3.37045i | −0.298127 | + | 0.156469i | ||||
\(465\) | −1.21602 | − | 10.0149i | −0.0563917 | − | 0.464428i | ||||
\(466\) | 2.80330 | − | 1.06315i | 0.129861 | − | 0.0492496i | ||||
\(467\) | −18.2212 | − | 16.1426i | −0.843178 | − | 0.746991i | 0.126346 | − | 0.991986i | \(-0.459675\pi\) |
−0.969524 | + | 0.244996i | \(0.921213\pi\) | |||||||
\(468\) | −1.20443 | − | 9.97228i | −0.0556750 | − | 0.460969i | ||||
\(469\) | 11.7733 | − | 10.4302i | 0.543639 | − | 0.481622i | ||||
\(470\) | 4.28719 | − | 8.16856i | 0.197753 | − | 0.376787i | ||||
\(471\) | −6.56806 | − | 9.51547i | −0.302640 | − | 0.438450i | ||||
\(472\) | 6.99089 | + | 6.19339i | 0.321782 | + | 0.285074i | ||||
\(473\) | 1.63339 | − | 6.62694i | 0.0751035 | − | 0.304707i | ||||
\(474\) | −17.6577 | − | 6.69668i | −0.811045 | − | 0.307589i | ||||
\(475\) | 1.85936 | + | 3.54271i | 0.0853132 | + | 0.162551i | ||||
\(476\) | 1.07682 | − | 2.05171i | 0.0493559 | − | 0.0940398i | ||||
\(477\) | −27.2101 | − | 6.70668i | −1.24586 | − | 0.307078i | ||||
\(478\) | 8.22767 | − | 7.28908i | 0.376325 | − | 0.333395i | ||||
\(479\) | 6.47417 | + | 12.3355i | 0.295812 | + | 0.563623i | 0.987319 | − | 0.158746i | \(-0.0507452\pi\) |
−0.691507 | + | 0.722370i | \(0.743053\pi\) | |||||||
\(480\) | 7.45129 | + | 3.91074i | 0.340104 | + | 0.178500i | ||||
\(481\) | −16.7049 | + | 11.5149i | −0.761678 | + | 0.525035i | ||||
\(482\) | 0.205444 | − | 0.107825i | 0.00935770 | − | 0.00491130i | ||||
\(483\) | 18.5614 | + | 12.8120i | 0.844574 | + | 0.582967i | ||||
\(484\) | 5.68474 | 0.258397 | ||||||||
\(485\) | −8.95781 | −0.406753 | ||||||||
\(486\) | 11.8049 | + | 8.14830i | 0.535479 | + | 0.369615i | ||||
\(487\) | −27.6008 | + | 3.35135i | −1.25071 | + | 0.151864i | −0.718970 | − | 0.695041i | \(-0.755386\pi\) |
−0.531743 | + | 0.846905i | \(0.678463\pi\) | |||||||
\(488\) | 28.7544i | 1.30165i | ||||||||
\(489\) | 58.2888 | + | 7.07754i | 2.63591 | + | 0.320057i | ||||
\(490\) | −4.05198 | − | 5.87031i | −0.183050 | − | 0.265193i | ||||
\(491\) | 15.1462 | + | 3.73321i | 0.683540 | + | 0.168477i | 0.565770 | − | 0.824563i | \(-0.308579\pi\) |
0.117770 | + | 0.993041i | \(0.462425\pi\) | |||||||
\(492\) | 13.0735 | − | 9.02396i | 0.589397 | − | 0.406831i | ||||
\(493\) | 10.9658 | + | 2.70283i | 0.493876 | + | 0.121729i | ||||
\(494\) | 16.9546 | − | 4.16752i | 0.762822 | − | 0.187505i | ||||
\(495\) | −3.11063 | + | 0.766702i | −0.139812 | + | 0.0344607i | ||||
\(496\) | 6.17283 | − | 6.96768i | 0.277168 | − | 0.312858i | ||||
\(497\) | 9.81916 | − | 14.2255i | 0.440450 | − | 0.638102i | ||||
\(498\) | 26.0366 | − | 23.0665i | 1.16673 | − | 1.03363i | ||||
\(499\) | −13.9187 | + | 9.60738i | −0.623086 | + | 0.430086i | −0.837332 | − | 0.546694i | \(-0.815886\pi\) |
0.214246 | + | 0.976780i | \(0.431271\pi\) | |||||||
\(500\) | 0.440484 | − | 0.304044i | 0.0196990 | − | 0.0135973i | ||||
\(501\) | 18.0488 | − | 34.3892i | 0.806362 | − | 1.53639i | ||||
\(502\) | −2.55578 | − | 10.3692i | −0.114070 | − | 0.462801i | ||||
\(503\) | 4.06397 | − | 33.4698i | 0.181203 | − | 1.49234i | −0.564149 | − | 0.825673i | \(-0.690796\pi\) |
0.745352 | − | 0.666671i | \(-0.232281\pi\) | |||||||
\(504\) | 5.95692 | + | 15.7071i | 0.265342 | + | 0.699650i | ||||
\(505\) | 9.71193 | + | 10.9625i | 0.432175 | + | 0.487825i | ||||
\(506\) | −5.57627 | −0.247895 | ||||||||
\(507\) | −21.1924 | + | 30.6193i | −0.941188 | + | 1.35985i | ||||
\(508\) | 8.28130 | 0.367423 | ||||||||
\(509\) | 7.63415 | + | 8.61717i | 0.338378 | + | 0.381950i | 0.892927 | − | 0.450201i | \(-0.148648\pi\) |
−0.554549 | + | 0.832151i | \(0.687109\pi\) | |||||||
\(510\) | 5.05982 | + | 13.3417i | 0.224053 | + | 0.590778i | ||||
\(511\) | −1.10052 | + | 9.06361i | −0.0486842 | + | 0.400951i | ||||
\(512\) | 5.73986 | + | 23.2875i | 0.253669 | + | 1.02917i | ||||
\(513\) | −11.7445 | + | 22.3772i | −0.518530 | + | 0.987977i | ||||
\(514\) | −2.84464 | + | 1.96351i | −0.125472 | + | 0.0866067i | ||||
\(515\) | −6.45779 | + | 4.45749i | −0.284564 | + | 0.196420i | ||||
\(516\) | −12.7254 | + | 11.2737i | −0.560205 | + | 0.496299i | ||||
\(517\) | 2.66513 | − | 3.86110i | 0.117212 | − | 0.169811i | ||||
\(518\) | 4.75024 | − | 5.36191i | 0.208714 | − | 0.235589i | ||||
\(519\) | −22.0773 | + | 5.44157i | −0.969087 | + | 0.238858i | ||||
\(520\) | −3.91644 | − | 10.3466i | −0.171747 | − | 0.453728i | ||||
\(521\) | −15.8078 | − | 3.89628i | −0.692554 | − | 0.170699i | −0.122699 | − | 0.992444i | \(-0.539155\pi\) |
−0.569856 | + | 0.821745i | \(0.693001\pi\) | |||||||
\(522\) | −14.2262 | + | 9.81965i | −0.622665 | + | 0.429795i | ||||
\(523\) | 0.552932 | + | 0.136286i | 0.0241780 | + | 0.00595935i | 0.251386 | − | 0.967887i | \(-0.419114\pi\) |
−0.227208 | + | 0.973846i | \(0.572960\pi\) | |||||||
\(524\) | 3.49578 | + | 5.06452i | 0.152714 | + | 0.221244i | ||||
\(525\) | 2.99095 | + | 0.363167i | 0.130536 | + | 0.0158499i | ||||
\(526\) | − | 25.0787i | − | 1.09348i | ||||||
\(527\) | −14.3902 | + | 1.74728i | −0.626846 | + | 0.0761129i | ||||
\(528\) | −3.83503 | − | 2.64713i | −0.166898 | − | 0.115202i | ||||
\(529\) | 33.0357 | 1.43633 | ||||||||
\(530\) | −6.51618 | −0.283045 | ||||||||
\(531\) | 13.0392 | + | 9.00034i | 0.565855 | + | 0.390582i | ||||
\(532\) | 1.99444 | − | 1.04676i | 0.0864698 | − | 0.0453829i | ||||
\(533\) | −37.0833 | − | 4.52661i | −1.60626 | − | 0.196069i | ||||
\(534\) | −8.76647 | − | 4.60100i | −0.379362 | − | 0.199105i | ||||
\(535\) | −0.286457 | − | 0.545798i | −0.0123846 | − | 0.0235969i | ||||
\(536\) | 34.3442 | − | 30.4263i | 1.48344 | − | 1.31422i | ||||
\(537\) | −2.21902 | − | 0.546939i | −0.0957577 | − | 0.0236021i | ||||
\(538\) | 1.59067 | − | 3.03077i | 0.0685786 | − | 0.130666i | ||||
\(539\) | −1.68580 | − | 3.21202i | −0.0726124 | − | 0.138351i | ||||
\(540\) | 3.16102 | + | 1.19882i | 0.136029 | + | 0.0515889i | ||||
\(541\) | 7.84435 | − | 31.8258i | 0.337255 | − | 1.36830i | −0.520335 | − | 0.853962i | \(-0.674193\pi\) |
0.857590 | − | 0.514334i | \(-0.171961\pi\) | |||||||
\(542\) | −4.70745 | − | 4.17044i | −0.202202 | − | 0.179136i | ||||
\(543\) | 3.37091 | + | 4.88361i | 0.144660 | + | 0.209576i | ||||
\(544\) | 5.61928 | − | 10.7066i | 0.240925 | − | 0.459044i | ||||
\(545\) | 0.890669 | − | 0.789064i | 0.0381521 | − | 0.0337998i | ||||
\(546\) | 4.66998 | − | 12.2902i | 0.199857 | − | 0.525972i | ||||
\(547\) | −1.68504 | − | 1.49281i | −0.0720471 | − | 0.0638282i | 0.626331 | − | 0.779557i | \(-0.284556\pi\) |
−0.698378 | + | 0.715729i | \(0.746094\pi\) | |||||||
\(548\) | 1.84255 | − | 0.698787i | 0.0787099 | − | 0.0298507i | ||||
\(549\) | 5.87964 | + | 48.4232i | 0.250937 | + | 2.06665i | ||||
\(550\) | −0.659597 | + | 0.346183i | −0.0281253 | + | 0.0147613i | ||||
\(551\) | 7.28026 | + | 8.21772i | 0.310150 | + | 0.350087i | ||||
\(552\) | 54.1461 | + | 37.3744i | 2.30461 | + | 1.59076i | ||||
\(553\) | 3.79951 | + | 4.28876i | 0.161572 | + | 0.182377i | ||||
\(554\) | −30.0963 | + | 3.65435i | −1.27867 | + | 0.155258i | ||||
\(555\) | −1.94291 | − | 16.0013i | −0.0824718 | − | 0.679216i | ||||
\(556\) | 1.87954 | − | 4.95593i | 0.0797102 | − | 0.210178i | ||||
\(557\) | 4.52686 | + | 1.71681i | 0.191809 | + | 0.0727436i | 0.448639 | − | 0.893713i | \(-0.351909\pi\) |
−0.256830 | + | 0.966457i | \(0.582678\pi\) | |||||||
\(558\) | 12.6035 | − | 18.2594i | 0.533550 | − | 0.772981i | ||||
\(559\) | 39.9820 | + | 0.0253657i | 1.69106 | + | 0.00107285i | ||||
\(560\) | 1.57926 | + | 2.28795i | 0.0667358 | + | 0.0966836i | ||||
\(561\) | 1.73661 | + | 7.04572i | 0.0733199 | + | 0.297470i | ||||
\(562\) | −7.12928 | − | 3.74173i | −0.300730 | − | 0.157835i | ||||
\(563\) | 8.50725 | − | 22.4318i | 0.358538 | − | 0.945387i | −0.627463 | − | 0.778646i | \(-0.715907\pi\) |
0.986001 | − | 0.166740i | \(-0.0533242\pi\) | |||||||
\(564\) | −10.9268 | + | 4.14399i | −0.460101 | + | 0.174493i | ||||
\(565\) | 1.97870 | + | 0.240258i | 0.0832447 | + | 0.0101077i | ||||
\(566\) | −7.70260 | − | 31.2507i | −0.323764 | − | 1.31356i | ||||
\(567\) | 1.21115 | + | 2.30765i | 0.0508635 | + | 0.0969123i | ||||
\(568\) | 28.6438 | − | 41.4977i | 1.20187 | − | 1.74121i | ||||
\(569\) | −40.5687 | + | 9.99928i | −1.70073 | + | 0.419191i | −0.965869 | − | 0.259030i | \(-0.916597\pi\) |
−0.734857 | + | 0.678222i | \(0.762751\pi\) | |||||||
\(570\) | −3.31946 | + | 13.4676i | −0.139037 | + | 0.564094i | ||||
\(571\) | −8.93653 | + | 23.5637i | −0.373982 | + | 0.986110i | 0.607460 | + | 0.794350i | \(0.292189\pi\) |
−0.981442 | + | 0.191759i | \(0.938581\pi\) | |||||||
\(572\) | −0.283523 | − | 1.15345i | −0.0118547 | − | 0.0482281i | ||||
\(573\) | −25.3422 | − | 66.8218i | −1.05868 | − | 2.79152i | ||||
\(574\) | 13.0940 | − | 1.58990i | 0.546532 | − | 0.0663610i | ||||
\(575\) | 6.62826 | − | 3.47878i | 0.276417 | − | 0.145075i | ||||
\(576\) | 16.3196 | + | 43.0313i | 0.679984 | + | 1.79297i | ||||
\(577\) | 27.3052i | 1.13673i | 0.822776 | + | 0.568365i | \(0.192424\pi\) | ||||
−0.822776 | + | 0.568365i | \(0.807576\pi\) | |||||||
\(578\) | −0.0672825 | + | 0.0255169i | −0.00279858 | + | 0.00106136i | ||||
\(579\) | −7.90774 | + | 32.0830i | −0.328634 | + | 1.33332i | ||||
\(580\) | 0.973906 | − | 1.09931i | 0.0404392 | − | 0.0456465i | ||||
\(581\) | −10.2471 | + | 2.52567i | −0.425119 | + | 0.104783i | ||||
\(582\) | −23.2448 | − | 20.5931i | −0.963530 | − | 0.853613i | ||||
\(583\) | −3.28970 | − | 0.399442i | −0.136245 | − | 0.0165432i | ||||
\(584\) | −3.21037 | + | 26.4398i | −0.132846 | + | 1.09409i | ||||
\(585\) | −8.71103 | − | 16.6231i | −0.360157 | − | 0.687281i | ||||
\(586\) | 0.158792 | + | 1.30777i | 0.00655965 | + | 0.0540236i | ||||
\(587\) | − | 26.0371i | − | 1.07467i | −0.843370 | − | 0.537333i | \(-0.819432\pi\) | ||
0.843370 | − | 0.537333i | \(-0.180568\pi\) | |||||||
\(588\) | −1.08914 | + | 8.96989i | −0.0449154 | + | 0.369912i | ||||
\(589\) | −12.4772 | − | 6.54853i | −0.514113 | − | 0.269828i | ||||
\(590\) | 3.44458 | + | 1.30636i | 0.141811 | + | 0.0537819i | ||||
\(591\) | −35.6504 | + | 40.2410i | −1.46646 | + | 1.65529i | ||||
\(592\) | 9.86266 | − | 11.1326i | 0.405353 | − | 0.457549i | ||||
\(593\) | −16.5115 | − | 6.26198i | −0.678045 | − | 0.257149i | −0.00854833 | − | 0.999963i | \(-0.502721\pi\) |
−0.669497 | + | 0.742815i | \(0.733490\pi\) | |||||||
\(594\) | −4.16628 | − | 2.18663i | −0.170944 | − | 0.0897186i | ||||
\(595\) | 0.521830 | − | 4.29765i | 0.0213929 | − | 0.176187i | ||||
\(596\) | − | 1.67954i | − | 0.0687968i | ||||||
\(597\) | −4.39150 | − | 36.1673i | −0.179732 | − | 1.48023i | ||||
\(598\) | −7.79724 | − | 31.7212i | −0.318853 | − | 1.29718i | ||||
\(599\) | −0.185714 | + | 1.52949i | −0.00758806 | + | 0.0624933i | −0.996011 | − | 0.0892303i | \(-0.971559\pi\) |
0.988423 | + | 0.151724i | \(0.0484824\pi\) | |||||||
\(600\) | 8.72501 | + | 1.05941i | 0.356197 | + | 0.0432501i | ||||
\(601\) | 13.0326 | + | 11.5459i | 0.531611 | + | 0.470966i | 0.885708 | − | 0.464242i | \(-0.153673\pi\) |
−0.354097 | + | 0.935209i | \(0.615212\pi\) | |||||||
\(602\) | −13.7062 | + | 3.37828i | −0.558623 | + | 0.137688i | ||||
\(603\) | 51.6150 | − | 58.2613i | 2.10192 | − | 2.37258i | ||||
\(604\) | 1.46626 | − | 5.94885i | 0.0596613 | − | 0.242055i | ||||
\(605\) | 9.93096 | − | 3.76632i | 0.403751 | − | 0.153123i | ||||
\(606\) | 50.7737i | 2.06254i | ||||||||
\(607\) | −8.29353 | − | 21.8682i | −0.336624 | − | 0.887604i | −0.991291 | − | 0.131687i | \(-0.957961\pi\) |
0.654668 | − | 0.755917i | \(-0.272809\pi\) | |||||||
\(608\) | 10.4078 | − | 5.46243i | 0.422092 | − | 0.221531i | ||||
\(609\) | 8.20718 | − | 0.996532i | 0.332572 | − | 0.0403815i | ||||
\(610\) | 4.02191 | + | 10.6049i | 0.162842 | + | 0.429380i | ||||
\(611\) | 25.6909 | + | 9.76193i | 1.03934 | + | 0.394925i | ||||
\(612\) | 4.06608 | − | 10.7214i | 0.164362 | − | 0.433386i | ||||
\(613\) | −1.18090 | + | 4.79111i | −0.0476962 | + | 0.193511i | −0.989957 | − | 0.141369i | \(-0.954850\pi\) |
0.942261 | + | 0.334880i | \(0.108696\pi\) | |||||||
\(614\) | 30.3336 | − | 7.47656i | 1.22417 | − | 0.301730i | ||||
\(615\) | 16.8600 | − | 24.4260i | 0.679862 | − | 0.984950i | ||||
\(616\) | 0.923142 | + | 1.75890i | 0.0371945 | + | 0.0708681i | ||||
\(617\) | −8.20846 | − | 33.3030i | −0.330460 | − | 1.34073i | −0.867611 | − | 0.497243i | \(-0.834346\pi\) |
0.537151 | − | 0.843486i | \(-0.319500\pi\) | |||||||
\(618\) | −27.0048 | − | 3.27898i | −1.08629 | − | 0.131900i | ||||
\(619\) | −24.3334 | + | 9.22845i | −0.978043 | + | 0.370923i | −0.791261 | − | 0.611478i | \(-0.790575\pi\) |
−0.186782 | + | 0.982401i | \(0.559806\pi\) | |||||||
\(620\) | −0.668443 | + | 1.76254i | −0.0268453 | + | 0.0707852i | ||||
\(621\) | 41.8667 | + | 21.9734i | 1.68005 | + | 0.881760i | ||||
\(622\) | −1.00965 | − | 4.09630i | −0.0404832 | − | 0.164247i | ||||
\(623\) | 1.70637 | + | 2.47211i | 0.0683644 | + | 0.0990430i | ||||
\(624\) | 9.69602 | − | 25.5175i | 0.388152 | − | 1.02152i | ||||
\(625\) | 0.568065 | − | 0.822984i | 0.0227226 | − | 0.0329194i | ||||
\(626\) | −21.6947 | − | 8.22771i | −0.867094 | − | 0.328845i | ||||
\(627\) | −2.50139 | + | 6.59563i | −0.0998960 | + | 0.263404i | ||||
\(628\) | 0.260409 | + | 2.14466i | 0.0103914 | + | 0.0855811i | ||||
\(629\) | −22.9920 | + | 2.79173i | −0.916750 | + | 0.111314i | ||||
\(630\) | 4.39393 | + | 4.95973i | 0.175059 | + | 0.197600i | ||||
\(631\) | −22.5349 | − | 15.5547i | −0.897099 | − | 0.619223i | 0.0277262 | − | 0.999616i | \(-0.491173\pi\) |
−0.924825 | + | 0.380393i | \(0.875789\pi\) | |||||||
\(632\) | 11.0837 | + | 12.5109i | 0.440885 | + | 0.497656i | ||||
\(633\) | 68.1479 | − | 35.7668i | 2.70864 | − | 1.42160i | ||||
\(634\) | 1.30946 | + | 10.7844i | 0.0520053 | + | 0.428302i | ||||
\(635\) | 14.4670 | − | 5.48662i | 0.574106 | − | 0.217730i | ||||
\(636\) | 6.17855 | + | 5.47372i | 0.244995 | + | 0.217047i | ||||
\(637\) | 15.9147 | − | 14.0812i | 0.630563 | − | 0.557916i | ||||
\(638\) | −1.53001 | + | 1.35547i | −0.0605736 | + | 0.0536636i | ||||
\(639\) | 39.7516 | − | 75.7403i | 1.57255 | − | 2.99624i | ||||
\(640\) | 2.74109 | + | 3.97116i | 0.108351 | + | 0.156974i | ||||
\(641\) | 19.1040 | + | 16.9247i | 0.754562 | + | 0.668484i | 0.950006 | − | 0.312231i | \(-0.101076\pi\) |
−0.195444 | + | 0.980715i | \(0.562615\pi\) | |||||||
\(642\) | 0.511403 | − | 2.07484i | 0.0201835 | − | 0.0818875i | ||||
\(643\) | 10.8158 | + | 4.10188i | 0.426532 | + | 0.161762i | 0.558524 | − | 0.829489i | \(-0.311368\pi\) |
−0.131992 | + | 0.991251i | \(0.542137\pi\) | |||||||
\(644\) | −1.95844 | − | 3.73150i | −0.0771735 | − | 0.147042i | ||||
\(645\) | −14.7615 | + | 28.1256i | −0.581232 | + | 1.10745i | ||||
\(646\) | 19.3513 | + | 4.76967i | 0.761368 | + | 0.187660i | ||||
\(647\) | 14.5268 | − | 12.8696i | 0.571107 | − | 0.505957i | −0.327418 | − | 0.944880i | \(-0.606178\pi\) |
0.898525 | + | 0.438923i | \(0.144640\pi\) | |||||||
\(648\) | 3.53308 | + | 6.73173i | 0.138793 | + | 0.264447i | ||||
\(649\) | 1.65892 | + | 0.870669i | 0.0651184 | + | 0.0341767i | ||||
\(650\) | −2.89161 | − | 3.26813i | −0.113418 | − | 0.128186i | ||||
\(651\) | −9.39584 | + | 4.93131i | −0.368252 | + | 0.193273i | ||||
\(652\) | −9.02924 | − | 6.23243i | −0.353612 | − | 0.244081i | ||||
\(653\) | 3.03719 | 0.118854 | 0.0594271 | − | 0.998233i | \(-0.481073\pi\) | ||||
0.0594271 | + | 0.998233i | \(0.481073\pi\) | |||||||
\(654\) | 4.12520 | 0.161308 | ||||||||
\(655\) | 9.46236 | + | 6.53139i | 0.369725 | + | 0.255203i | ||||
\(656\) | 27.1863 | − | 3.30101i | 1.06145 | − | 0.128883i | ||||
\(657\) | 45.1817i | 1.76271i | ||||||||
\(658\) | −9.63266 | − | 1.16962i | −0.375520 | − | 0.0455964i | ||||
\(659\) | −9.22904 | − | 13.3706i | −0.359512 | − | 0.520844i | 0.600938 | − | 0.799296i | \(-0.294794\pi\) |
−0.960450 | + | 0.278452i | \(0.910179\pi\) | |||||||
\(660\) | 0.916221 | + | 0.225828i | 0.0356639 | + | 0.00879035i | ||||
\(661\) | −12.5032 | + | 8.63034i | −0.486318 | + | 0.335681i | −0.785863 | − | 0.618401i | \(-0.787781\pi\) |
0.299544 | + | 0.954082i | \(0.403165\pi\) | |||||||
\(662\) | 27.4806 | + | 6.77337i | 1.06807 | + | 0.263254i | ||||
\(663\) | −37.6521 | + | 19.7309i | −1.46228 | + | 0.766283i | ||||
\(664\) | −29.8920 | + | 7.36772i | −1.16004 | + | 0.285923i | ||||
\(665\) | 2.79067 | − | 3.15002i | 0.108218 | − | 0.122152i | ||||
\(666\) | 20.1374 | − | 29.1740i | 0.780307 | − | 1.13047i | ||||
\(667\) | 15.3750 | − | 13.6210i | 0.595322 | − | 0.527409i | ||||
\(668\) | −5.97231 | + | 4.12239i | −0.231076 | + | 0.159500i | ||||
\(669\) | −23.9487 | + | 16.5306i | −0.925910 | + | 0.639110i | ||||
\(670\) | 8.41070 | − | 16.0253i | 0.324934 | − | 0.619110i | ||||
\(671\) | 1.38038 | + | 5.60044i | 0.0532892 | + | 0.216203i | ||||
\(672\) | 1.06691 | − | 8.78683i | 0.0411571 | − | 0.338959i | ||||
\(673\) | 12.2460 | + | 32.2901i | 0.472050 | + | 1.24469i | 0.933836 | + | 0.357702i | \(0.116440\pi\) |
−0.461786 | + | 0.886991i | \(0.652791\pi\) | |||||||
\(674\) | 4.98866 | + | 5.63104i | 0.192156 | + | 0.216899i | ||||
\(675\) | 6.31640 | 0.243118 | ||||||||
\(676\) | 6.16507 | − | 3.22571i | 0.237118 | − | 0.124066i | ||||
\(677\) | −24.1832 | −0.929438 | −0.464719 | − | 0.885458i | \(-0.653845\pi\) | ||||
−0.464719 | + | 0.885458i | \(0.653845\pi\) | |||||||
\(678\) | 4.58226 | + | 5.17230i | 0.175981 | + | 0.198641i | ||||
\(679\) | 3.34112 | + | 8.80981i | 0.128220 | + | 0.338090i | ||||
\(680\) | 1.52225 | − | 12.5368i | 0.0583755 | − | 0.480765i | ||||
\(681\) | 5.94760 | + | 24.1304i | 0.227913 | + | 0.924678i | ||||
\(682\) | 1.21923 | − | 2.32305i | 0.0466868 | − | 0.0889543i | ||||
\(683\) | 25.0876 | − | 17.3168i | 0.959952 | − | 0.662607i | 0.0185267 | − | 0.999828i | \(-0.494102\pi\) |
0.941425 | + | 0.337221i | \(0.109487\pi\) | |||||||
\(684\) | 9.17335 | − | 6.33190i | 0.350752 | − | 0.242106i | ||||
\(685\) | 2.75588 | − | 2.44149i | 0.105297 | − | 0.0932846i | ||||
\(686\) | −9.32405 | + | 13.5082i | −0.355994 | + | 0.515746i | ||||
\(687\) | 18.3248 | − | 20.6844i | 0.699135 | − | 0.789160i | ||||
\(688\) | −28.4575 | + | 7.01413i | −1.08493 | + | 0.267411i | ||||
\(689\) | −2.32768 | − | 19.2724i | −0.0886776 | − | 0.734218i | ||||
\(690\) | 25.1972 | + | 6.21055i | 0.959241 | + | 0.236432i | ||||
\(691\) | −5.15751 | + | 3.55997i | −0.196201 | + | 0.135428i | −0.662115 | − | 0.749402i | \(-0.730341\pi\) |
0.465914 | + | 0.884830i | \(0.345726\pi\) | |||||||
\(692\) | 4.12518 | + | 1.01677i | 0.156816 | + | 0.0386517i | ||||
\(693\) | 1.91425 | + | 2.77327i | 0.0727164 | + | 0.105348i | ||||
\(694\) | 14.8376 | + | 1.80160i | 0.563226 | + | 0.0683880i | ||||
\(695\) | − | 9.90302i | − | 0.375643i | ||||||
\(696\) | 23.9414 | − | 2.90702i | 0.907498 | − | 0.110190i | ||||
\(697\) | −35.0973 | − | 24.2259i | −1.32940 | − | 0.917622i | ||||
\(698\) | 0.971931 | 0.0367881 | ||||||||
\(699\) | −7.09591 | −0.268392 | ||||||||
\(700\) | −0.463314 | − | 0.319803i | −0.0175116 | − | 0.0120874i | ||||
\(701\) | −24.3844 | + | 12.7979i | −0.920987 | + | 0.483371i | −0.857426 | − | 0.514607i | \(-0.827938\pi\) |
−0.0635606 | + | 0.997978i | \(0.520246\pi\) | |||||||
\(702\) | 6.61323 | − | 26.7579i | 0.249600 | − | 1.00991i | ||||
\(703\) | −19.9355 | − | 10.4629i | −0.751881 | − | 0.394617i | ||||
\(704\) | 2.52905 | + | 4.81870i | 0.0953171 | + | 0.181612i | ||||
\(705\) | −16.3431 | + | 14.4787i | −0.615515 | + | 0.545299i | ||||
\(706\) | 8.93657 | + | 2.20267i | 0.336332 | + | 0.0828984i | ||||
\(707\) | 7.15899 | − | 13.6403i | 0.269242 | − | 0.512997i | ||||
\(708\) | −2.16874 | − | 4.13219i | −0.0815062 | − | 0.155297i | ||||
\(709\) | 2.28073 | + | 0.864967i | 0.0856546 | + | 0.0324845i | 0.397060 | − | 0.917793i | \(-0.370030\pi\) |
−0.311405 | + | 0.950277i | \(0.600800\pi\) | |||||||
\(710\) | 4.75978 | − | 19.3112i | 0.178631 | − | 0.724736i | ||||
\(711\) | 21.2234 | + | 18.8023i | 0.795940 | + | 0.705141i | ||||
\(712\) | 4.97772 | + | 7.21147i | 0.186548 | + | 0.270261i | ||||
\(713\) | −12.2520 | + | 23.3443i | −0.458841 | + | 0.874249i | ||||
\(714\) | 11.2340 | − | 9.95246i | 0.420422 | − | 0.372461i | ||||
\(715\) | −1.25950 | − | 1.82717i | −0.0471025 | − | 0.0683324i | ||||
\(716\) | 0.319641 | + | 0.283177i | 0.0119455 | + | 0.0105828i | ||||
\(717\) | −24.3251 | + | 9.22530i | −0.908438 | + | 0.344525i | ||||
\(718\) | 3.45399 | + | 28.4461i | 0.128902 | + | 1.06160i | ||||
\(719\) | 30.3767 | − | 15.9429i | 1.13286 | − | 0.594571i | 0.209234 | − | 0.977866i | \(-0.432903\pi\) |
0.923626 | + | 0.383295i | \(0.125211\pi\) | |||||||
\(720\) | 9.12289 | + | 10.2976i | 0.339990 | + | 0.383769i | ||||
\(721\) | 6.79250 | + | 4.68852i | 0.252966 | + | 0.174610i | ||||
\(722\) | −2.40125 | − | 2.71045i | −0.0893652 | − | 0.100872i | ||||
\(723\) | −0.545135 | + | 0.0661914i | −0.0202738 | + | 0.00246168i | ||||
\(724\) | −0.133649 | − | 1.10070i | −0.00496702 | − | 0.0409071i | ||||
\(725\) | 0.973036 | − | 2.56569i | 0.0361377 | − | 0.0952872i | ||||
\(726\) | 34.4285 | + | 13.0570i | 1.27776 | + | 0.484591i | ||||
\(727\) | −25.1600 | + | 36.4505i | −0.933131 | + | 1.35187i | 0.00291456 | + | 0.999996i | \(0.499072\pi\) |
−0.936046 | + | 0.351878i | \(0.885543\pi\) | |||||||
\(728\) | −8.71488 | + | 7.71085i | −0.322995 | + | 0.285783i | ||||
\(729\) | −23.5078 | − | 34.0569i | −0.870658 | − | 1.26137i | ||||
\(730\) | 2.51414 | + | 10.2003i | 0.0930526 | + | 0.377529i | ||||
\(731\) | 40.4133 | + | 21.2105i | 1.49474 | + | 0.784499i | ||||
\(732\) | 5.09481 | − | 13.4339i | 0.188310 | − | 0.496531i | ||||
\(733\) | 33.9536 | − | 12.8769i | 1.25410 | − | 0.475619i | 0.364009 | − | 0.931395i | \(-0.381408\pi\) |
0.890094 | + | 0.455777i | \(0.150638\pi\) | |||||||
\(734\) | −14.8694 | − | 1.80547i | −0.548839 | − | 0.0666411i | ||||
\(735\) | 4.04015 | + | 16.3915i | 0.149023 | + | 0.604611i | ||||
\(736\) | −10.2200 | − | 19.4725i | −0.376713 | − | 0.717767i | ||||
\(737\) | 5.22850 | − | 7.57479i | 0.192594 | − | 0.279021i | ||||
\(738\) | 63.3761 | − | 15.6208i | 2.33291 | − | 0.575010i | ||||
\(739\) | 11.3082 | − | 45.8791i | 0.415979 | − | 1.68769i | −0.272273 | − | 0.962220i | \(-0.587776\pi\) |
0.688252 | − | 0.725472i | \(-0.258378\pi\) | |||||||
\(740\) | −1.06801 | + | 2.81610i | −0.0392607 | + | 0.103522i | ||||
\(741\) | −41.0177 | − | 5.00685i | −1.50682 | − | 0.183931i | ||||
\(742\) | 2.43043 | + | 6.40852i | 0.0892239 | + | 0.235264i | ||||
\(743\) | 21.3687 | − | 2.59463i | 0.783941 | − | 0.0951876i | 0.281228 | − | 0.959641i | \(-0.409258\pi\) |
0.502713 | + | 0.864453i | \(0.332335\pi\) | |||||||
\(744\) | −27.4089 | + | 14.3853i | −1.00486 | + | 0.527391i | ||||
\(745\) | −1.11275 | − | 2.93408i | −0.0407680 | − | 0.107496i | ||||
\(746\) | 35.1372i | 1.28647i | ||||||||
\(747\) | −48.8324 | + | 18.5197i | −1.78668 | + | 0.677600i | ||||
\(748\) | 0.324489 | − | 1.31650i | 0.0118645 | − | 0.0481361i | ||||
\(749\) | −0.429937 | + | 0.485298i | −0.0157095 | + | 0.0177324i | ||||
\(750\) | 3.36605 | − | 0.829656i | 0.122911 | − | 0.0302948i | ||||
\(751\) | −4.50465 | − | 3.99077i | −0.164377 | − | 0.145625i | 0.576924 | − | 0.816797i | \(-0.304253\pi\) |
−0.741302 | + | 0.671172i | \(0.765791\pi\) | |||||||
\(752\) | −19.9998 | − | 2.42841i | −0.729316 | − | 0.0885550i | ||||
\(753\) | −3.04670 | + | 25.0918i | −0.111028 | + | 0.914396i | ||||
\(754\) | −9.85013 | − | 6.80829i | −0.358721 | − | 0.247943i | ||||
\(755\) | −1.37981 | − | 11.3638i | −0.0502166 | − | 0.413571i | ||||
\(756\) | − | 3.55594i | − | 0.129328i | ||||||
\(757\) | 0.0936411 | − | 0.771204i | 0.00340344 | − | 0.0280299i | −0.990908 | − | 0.134540i | \(-0.957044\pi\) |
0.994312 | + | 0.106510i | \(0.0339675\pi\) | |||||||
\(758\) | −27.8348 | − | 14.6088i | −1.01101 | − | 0.530617i | ||||
\(759\) | 12.3401 | + | 4.67999i | 0.447918 | + | 0.169873i | ||||
\(760\) | 8.14076 | − | 9.18901i | 0.295296 | − | 0.333321i | ||||
\(761\) | −5.25740 | + | 5.93438i | −0.190581 | + | 0.215121i | −0.836033 | − | 0.548680i | \(-0.815131\pi\) |
0.645452 | + | 0.763801i | \(0.276669\pi\) | |||||||
\(762\) | 50.1540 | + | 19.0209i | 1.81689 | + | 0.689055i | ||||
\(763\) | −1.10823 | − | 0.581645i | −0.0401207 | − | 0.0210570i | ||||
\(764\) | −1.60959 | + | 13.2562i | −0.0582329 | + | 0.479591i | ||||
\(765\) | − | 21.4236i | − | 0.774572i | ||||||
\(766\) | 3.45835 | + | 28.4821i | 0.124955 | + | 1.02910i | ||||
\(767\) | −2.63325 | + | 10.6544i | −0.0950810 | + | 0.384708i | ||||
\(768\) | 4.08921 | − | 33.6777i | 0.147557 | − | 1.21524i | ||||
\(769\) | 24.4604 | + | 2.97003i | 0.882063 | + | 0.107102i | 0.549020 | − | 0.835809i | \(-0.315001\pi\) |
0.333044 | + | 0.942911i | \(0.391924\pi\) | |||||||
\(770\) | 0.586483 | + | 0.519578i | 0.0211354 | + | 0.0187243i | ||||
\(771\) | 7.94302 | − | 1.95778i | 0.286061 | − | 0.0705076i | ||||
\(772\) | 4.09423 | − | 4.62143i | 0.147354 | − | 0.166329i | ||||
\(773\) | −3.41089 | + | 13.8385i | −0.122681 | + | 0.497738i | 0.877165 | + | 0.480190i | \(0.159432\pi\) |
−0.999846 | + | 0.0175480i | \(0.994414\pi\) | |||||||
\(774\) | −65.3170 | + | 24.7715i | −2.34777 | + | 0.890393i | ||||
\(775\) | 3.52193i | 0.126511i | ||||||||
\(776\) | 9.74650 | + | 25.6994i | 0.349879 | + | 0.922555i | ||||
\(777\) | −15.0122 | + | 7.87903i | −0.538561 | + | 0.282659i | ||||
\(778\) | −19.1277 | + | 2.32253i | −0.685762 | + | 0.0832666i | ||||
\(779\) | −14.7005 | − | 38.7620i | −0.526700 | − | 1.38879i | ||||
\(780\) | −0.00350698 | + | 5.52780i | −0.000125570 | + | 0.197927i | ||||
\(781\) | 3.58676 | − | 9.45750i | 0.128344 | − | 0.338416i | ||||
\(782\) | 8.92385 | − | 36.2055i | 0.319116 | − | 1.29470i | ||||
\(783\) | 16.8286 | − | 4.14787i | 0.601404 | − | 0.148233i | ||||
\(784\) | −8.84895 | + | 12.8199i | −0.316034 | + | 0.457854i | ||||
\(785\) | 1.87582 | + | 3.57408i | 0.0669509 | + | 0.127564i | ||||
\(786\) | 9.53907 | + | 38.7015i | 0.340247 | + | 1.38044i | ||||
\(787\) | −8.22352 | − | 0.998516i | −0.293137 | − | 0.0355932i | −0.0273527 | − | 0.999626i | \(-0.508708\pi\) |
−0.265784 | + | 0.964033i | \(0.585631\pi\) | |||||||
\(788\) | 9.39262 | − | 3.56215i | 0.334598 | − | 0.126896i | ||||
\(789\) | −21.0478 | + | 55.4985i | −0.749322 | + | 1.97580i | ||||
\(790\) | 5.83768 | + | 3.06385i | 0.207695 | + | 0.109007i | ||||
\(791\) | −0.501737 | − | 2.03563i | −0.0178397 | − | 0.0723785i | ||||
\(792\) | 5.58413 | + | 8.09000i | 0.198423 | + | 0.287466i | ||||
\(793\) | −29.9285 | + | 15.6835i | −1.06279 | + | 0.556938i | ||||
\(794\) | −17.1612 | + | 24.8622i | −0.609027 | + | 0.882328i | ||||
\(795\) | 14.4201 | + | 5.46883i | 0.511429 | + | 0.193959i | ||||
\(796\) | −2.41399 | + | 6.36517i | −0.0855616 | + | 0.225607i | ||||
\(797\) | −4.48263 | − | 36.9178i | −0.158783 | − | 1.30769i | −0.826355 | − | 0.563149i | \(-0.809590\pi\) |
0.667572 | − | 0.744545i | \(-0.267334\pi\) | |||||||
\(798\) | 14.4832 | − | 1.75857i | 0.512698 | − | 0.0622529i | ||||
\(799\) | 20.8042 | + | 23.4831i | 0.735999 | + | 0.830772i | ||||
\(800\) | −2.41777 | − | 1.66886i | −0.0854809 | − | 0.0590032i | ||||
\(801\) | 9.85720 | + | 11.1265i | 0.348287 | + | 0.393135i | ||||
\(802\) | −18.3380 | + | 9.62451i | −0.647537 | + | 0.339853i | ||||
\(803\) | 0.643990 | + | 5.30374i | 0.0227259 | + | 0.187165i | ||||
\(804\) | −21.4364 | + | 8.12977i | −0.756005 | + | 0.286715i | ||||
\(805\) | −5.89354 | − | 5.22122i | −0.207720 | − | 0.184024i | ||||
\(806\) | 14.9198 | + | 3.68744i | 0.525527 | + | 0.129885i | ||||
\(807\) | −6.06374 | + | 5.37200i | −0.213454 | + | 0.189103i | ||||
\(808\) | 20.8837 | − | 39.7906i | 0.734687 | − | 1.39983i | ||||
\(809\) | 0.511396 | + | 0.740885i | 0.0179797 | + | 0.0260481i | 0.831871 | − | 0.554970i | \(-0.187270\pi\) |
−0.813891 | + | 0.581018i | \(0.802655\pi\) | |||||||
\(810\) | 2.24461 | + | 1.98855i | 0.0788675 | + | 0.0698705i | ||||
\(811\) | 7.15999 | − | 29.0492i | 0.251421 | − | 1.02006i | −0.700485 | − | 0.713667i | \(-0.747033\pi\) |
0.951906 | − | 0.306389i | \(-0.0991208\pi\) | |||||||
\(812\) | −1.44440 | − | 0.547789i | −0.0506886 | − | 0.0192236i | ||||
\(813\) | 6.91734 | + | 13.1799i | 0.242602 | + | 0.462239i | ||||
\(814\) | 1.94803 | − | 3.71167i | 0.0682786 | − | 0.130094i | ||||
\(815\) | −19.9028 | − | 4.90560i | −0.697165 | − | 0.171836i | ||||
\(816\) | 23.3245 | − | 20.6637i | 0.816522 | − | 0.723376i | ||||
\(817\) | 20.6185 | + | 39.2852i | 0.721349 | + | 1.37442i | ||||
\(818\) | 32.8549 | + | 17.2436i | 1.14874 | + | 0.602907i | ||||
\(819\) | −13.0994 | + | 14.7673i | −0.457730 | + | 0.516010i | ||||
\(820\) | −4.91049 | + | 2.57722i | −0.171482 | + | 0.0900005i | ||||
\(821\) | −37.9296 | − | 26.1809i | −1.32375 | − | 0.913720i | −0.324272 | − | 0.945964i | \(-0.605119\pi\) |
−0.999480 | + | 0.0322438i | \(0.989735\pi\) | |||||||
\(822\) | 12.7641 | 0.445197 | ||||||||
\(823\) | −6.42753 | −0.224050 | −0.112025 | − | 0.993705i | \(-0.535734\pi\) | ||||
−0.112025 | + | 0.993705i | \(0.535734\pi\) | |||||||
\(824\) | 19.8146 | + | 13.6770i | 0.690275 | + | 0.476463i | ||||
\(825\) | 1.75021 | − | 0.212514i | 0.0609345 | − | 0.00739879i | ||||
\(826\) | − | 3.87492i | − | 0.134826i | ||||||
\(827\) | −30.7755 | − | 3.73682i | −1.07017 | − | 0.129942i | −0.433557 | − | 0.901126i | \(-0.642742\pi\) |
−0.636612 | + | 0.771184i | \(0.719665\pi\) | |||||||
\(828\) | −11.8467 | − | 17.1629i | −0.411702 | − | 0.596453i | ||||
\(829\) | −34.1372 | − | 8.41406i | −1.18563 | − | 0.292232i | −0.403285 | − | 0.915074i | \(-0.632132\pi\) |
−0.782348 | + | 0.622842i | \(0.785978\pi\) | |||||||
\(830\) | −9.99393 | + | 6.89831i | −0.346894 | + | 0.239444i | ||||
\(831\) | 69.6692 | + | 17.1719i | 2.41680 | + | 0.595687i | ||||
\(832\) | −23.8754 | + | 21.1247i | −0.827729 | + | 0.732367i | ||||
\(833\) | 23.5527 | − | 5.80523i | 0.816054 | − | 0.201139i | ||||
\(834\) | 22.7661 | − | 25.6976i | 0.788325 | − | 0.889835i | ||||
\(835\) | −7.70212 | + | 11.1585i | −0.266543 | + | 0.386154i | ||||
\(836\) | 0.986579 | − | 0.874033i | 0.0341216 | − | 0.0302291i | ||||
\(837\) | −18.3080 | + | 12.6371i | −0.632818 | + | 0.436803i | ||||
\(838\) | −4.47305 | + | 3.08752i | −0.154519 | + | 0.106657i | ||||
\(839\) | 6.00137 | − | 11.4347i | 0.207190 | − | 0.394768i | −0.759580 | − | 0.650414i | \(-0.774596\pi\) |
0.966771 | + | 0.255645i | \(0.0822879\pi\) | |||||||
\(840\) | −2.21239 | − | 8.97600i | −0.0763346 | − | 0.309701i | ||||
\(841\) | −2.58798 | + | 21.3139i | −0.0892406 | + | 0.734962i | ||||
\(842\) | 4.63059 | + | 12.2099i | 0.159581 | + | 0.420779i | ||||
\(843\) | 12.6366 | + | 14.2637i | 0.435227 | + | 0.491269i | ||||
\(844\) | −14.3808 | −0.495007 | ||||||||
\(845\) | 8.63293 | − | 9.71969i | 0.296982 | − | 0.334368i | ||||
\(846\) | −48.0184 | −1.65091 | ||||||||
\(847\) | −7.40818 | − | 8.36211i | −0.254548 | − | 0.287325i | ||||
\(848\) | 5.04617 | + | 13.3057i | 0.173286 | + | 0.456918i | ||||
\(849\) | −9.18210 | + | 75.6214i | −0.315129 | + | 2.59532i | ||||
\(850\) | −1.19212 | − | 4.83662i | −0.0408894 | − | 0.165895i | ||||
\(851\) | −19.5757 | + | 37.2984i | −0.671046 | + | 1.27857i | ||||
\(852\) | −20.7349 | + | 14.3123i | −0.710367 | + | 0.490331i | ||||
\(853\) | −46.7140 | + | 32.2444i | −1.59946 | + | 1.10403i | −0.665644 | + | 0.746270i | \(0.731843\pi\) |
−0.933815 | + | 0.357757i | \(0.883542\pi\) | |||||||
\(854\) | 8.92959 | − | 7.91092i | 0.305564 | − | 0.270706i | ||||
\(855\) | 11.8303 | − | 17.1391i | 0.404588 | − | 0.586146i | ||||
\(856\) | −1.25418 | + | 1.41568i | −0.0428671 | + | 0.0483869i | ||||
\(857\) | 35.0979 | − | 8.65087i | 1.19892 | − | 0.295508i | 0.411204 | − | 0.911543i | \(-0.365108\pi\) |
0.787719 | + | 0.616035i | \(0.211262\pi\) | |||||||
\(858\) | 0.932196 | − | 7.63684i | 0.0318247 | − | 0.260717i | ||||
\(859\) | −29.0745 | − | 7.16623i | −0.992010 | − | 0.244509i | −0.290273 | − | 0.956944i | \(-0.593746\pi\) |
−0.701738 | + | 0.712435i | \(0.747592\pi\) | |||||||
\(860\) | 4.88454 | − | 3.37155i | 0.166561 | − | 0.114969i | ||||
\(861\) | −30.3109 | − | 7.47098i | −1.03299 | − | 0.254610i | ||||
\(862\) | 24.8130 | + | 35.9479i | 0.845135 | + | 1.22439i | ||||
\(863\) | 22.0674 | + | 2.67946i | 0.751182 | + | 0.0912100i | 0.487167 | − | 0.873309i | \(-0.338030\pi\) |
0.264015 | + | 0.964519i | \(0.414953\pi\) | |||||||
\(864\) | − | 18.5564i | − | 0.631300i | ||||||
\(865\) | 7.88013 | − | 0.956821i | 0.267932 | − | 0.0325329i | ||||
\(866\) | 18.9183 | + | 13.0584i | 0.642871 | + | 0.443742i | ||||
\(867\) | 0.170310 | 0.00578403 | ||||||||
\(868\) | 1.98274 | 0.0672985 | ||||||||
\(869\) | 2.75934 | + | 1.90464i | 0.0936043 | + | 0.0646104i | ||||
\(870\) | 8.42322 | − | 4.42085i | 0.285574 | − | 0.149881i | ||||
\(871\) | 50.4010 | + | 19.1512i | 1.70777 | + | 0.648913i | ||||
\(872\) | −3.23286 | − | 1.69674i | −0.109479 | − | 0.0574588i | ||||
\(873\) | 21.6683 | + | 41.2855i | 0.733361 | + | 1.39730i | ||||
\(874\) | 27.1322 | − | 24.0370i | 0.917759 | − | 0.813063i | ||||
\(875\) | −1.02127 | − | 0.251720i | −0.0345251 | − | 0.00850967i | ||||
\(876\) | 6.18456 | − | 11.7837i | 0.208957 | − | 0.398134i | ||||
\(877\) | −14.1715 | − | 27.0015i | −0.478537 | − | 0.911776i | −0.998346 | − | 0.0574934i | \(-0.981689\pi\) |
0.519809 | − | 0.854283i | \(-0.326003\pi\) | |||||||
\(878\) | −36.0407 | − | 13.6684i | −1.21631 | − | 0.461287i | ||||
\(879\) | 0.746171 | − | 3.02733i | 0.0251677 | − | 0.102109i | ||||
\(880\) | 1.21768 | + | 1.07877i | 0.0410481 | + | 0.0363654i | ||||
\(881\) | −22.4824 | − | 32.5714i | −0.757452 | − | 1.09736i | −0.992121 | − | 0.125283i | \(-0.960016\pi\) |
0.234670 | − | 0.972075i | \(-0.424599\pi\) | |||||||
\(882\) | −17.2541 | + | 32.8750i | −0.580976 | + | 1.10696i | ||||
\(883\) | −32.7247 | + | 28.9916i | −1.10127 | + | 0.975644i | −0.999816 | − | 0.0191960i | \(-0.993889\pi\) |
−0.101458 | + | 0.994840i | \(0.532351\pi\) | |||||||
\(884\) | 7.94281 | + | 0.00503913i | 0.267145 | + | 0.000169484i | ||||
\(885\) | −6.52638 | − | 5.78187i | −0.219382 | − | 0.194355i | ||||
\(886\) | 7.44250 | − | 2.82257i | 0.250036 | − | 0.0948260i | ||||
\(887\) | −2.29838 | − | 18.9289i | −0.0771722 | − | 0.635570i | −0.979056 | − | 0.203591i | \(-0.934739\pi\) |
0.901884 | − | 0.431979i | \(-0.142184\pi\) | |||||||
\(888\) | −43.7927 | + | 22.9842i | −1.46959 | + | 0.771299i | ||||
\(889\) | −10.7919 | − | 12.1816i | −0.361950 | − | 0.408557i | ||||
\(890\) | 2.84451 | + | 1.96342i | 0.0953481 | + | 0.0658140i | ||||
\(891\) | 1.01130 | + | 1.14152i | 0.0338797 | + | 0.0382422i | ||||
\(892\) | 5.39771 | − | 0.655400i | 0.180729 | − | 0.0219444i | ||||
\(893\) | 3.67605 | + | 30.2750i | 0.123014 | + | 1.01311i | ||||
\(894\) | 3.85766 | − | 10.1718i | 0.129019 | − | 0.340196i | ||||
\(895\) | 0.746010 | + | 0.282924i | 0.0249364 | + | 0.00945712i | ||||
\(896\) | 2.88316 | − | 4.17698i | 0.0963197 | − | 0.139543i | ||||
\(897\) | −9.36760 | + | 76.7422i | −0.312775 | + | 2.56235i | ||||
\(898\) | −19.8697 | − | 28.7862i | −0.663059 | − | 0.960607i | ||||
\(899\) | 2.31279 | + | 9.38336i | 0.0771359 | + | 0.312953i | ||||
\(900\) | −2.46680 | − | 1.29468i | −0.0822268 | − | 0.0431560i | ||||
\(901\) | 7.85808 | − | 20.7200i | 0.261790 | − | 0.690285i | ||||
\(902\) | 7.21688 | − | 2.73700i | 0.240296 | − | 0.0911321i | ||||
\(903\) | 33.1668 | + | 4.02717i | 1.10372 | + | 0.134016i | ||||
\(904\) | −1.46363 | − | 5.93819i | −0.0486797 | − | 0.197501i | ||||
\(905\) | −0.962724 | − | 1.83432i | −0.0320020 | − | 0.0609748i | ||||
\(906\) | 22.5437 | − | 32.6602i | 0.748966 | − | 1.08506i | ||||
\(907\) | −41.6147 | + | 10.2571i | −1.38179 | + | 0.340582i | −0.859043 | − | 0.511904i | \(-0.828940\pi\) |
−0.522751 | + | 0.852485i | \(0.675094\pi\) | |||||||
\(908\) | 1.11132 | − | 4.50880i | 0.0368804 | − | 0.149630i | ||||
\(909\) | 27.0325 | − | 71.2787i | 0.896610 | − | 2.36417i | ||||
\(910\) | −2.13561 | + | 4.06279i | −0.0707947 | + | 0.134680i | ||||
\(911\) | 20.4623 | + | 53.9548i | 0.677948 | + | 1.78760i | 0.613521 | + | 0.789679i | \(0.289753\pi\) |
0.0644268 | + | 0.997922i | \(0.479478\pi\) | |||||||
\(912\) | 30.0706 | − | 3.65123i | 0.995737 | − | 0.120904i | ||||
\(913\) | −5.46831 | + | 2.86999i | −0.180975 | + | 0.0949829i | ||||
\(914\) | 5.52738 | + | 14.5745i | 0.182830 | + | 0.482082i | ||||
\(915\) | − | 26.8438i | − | 0.887429i | ||||||
\(916\) | −4.82794 | + | 1.83099i | −0.159520 | + | 0.0604978i | ||||
\(917\) | 2.89418 | − | 11.7421i | 0.0955741 | − | 0.387759i | ||||
\(918\) | 20.8647 | − | 23.5514i | 0.688638 | − | 0.777312i | ||||
\(919\) | 43.3371 | − | 10.6816i | 1.42956 | − | 0.352355i | 0.552811 | − | 0.833306i | \(-0.313555\pi\) |
0.876747 | + | 0.480952i | \(0.159709\pi\) | |||||||
\(920\) | −17.1922 | − | 15.2310i | −0.566811 | − | 0.502151i | ||||
\(921\) | −73.4023 | − | 8.91265i | −2.41869 | − | 0.293682i | ||||
\(922\) | −4.40876 | + | 36.3094i | −0.145195 | + | 1.19579i | ||||
\(923\) | 58.8154 | + | 7.17935i | 1.93593 | + | 0.236311i | ||||
\(924\) | −0.119639 | − | 0.985314i | −0.00393583 | − | 0.0324145i | ||||
\(925\) | 5.62718i | 0.185021i | ||||||||
\(926\) | −2.33128 | + | 19.1999i | −0.0766108 | + | 0.630946i | ||||
\(927\) | 36.1650 | + | 18.9809i | 1.18781 | + | 0.623413i | ||||
\(928\) | −7.53748 | − | 2.85859i | −0.247430 | − | 0.0938378i | ||||
\(929\) | −31.6658 | + | 35.7432i | −1.03892 | + | 1.17270i | −0.0542037 | + | 0.998530i | \(0.517262\pi\) |
−0.984716 | + | 0.174168i | \(0.944276\pi\) | |||||||
\(930\) | −8.09658 | + | 9.13915i | −0.265497 | + | 0.299684i | ||||
\(931\) | 22.0482 | + | 8.36177i | 0.722600 | + | 0.274046i | ||||
\(932\) | 1.17401 | + | 0.616168i | 0.0384560 | + | 0.0201832i | ||||
\(933\) | −1.20358 | + | 9.91238i | −0.0394034 | + | 0.324517i | ||||
\(934\) | 29.4622i | 0.964032i | ||||||||
\(935\) | −0.305358 | − | 2.51485i | −0.00998628 | − | 0.0822444i | ||||
\(936\) | −38.2127 | + | 43.0781i | −1.24902 | + | 1.40805i | ||||
\(937\) | −2.86206 | + | 23.5712i | −0.0934995 | + | 0.770037i | 0.868254 | + | 0.496120i | \(0.165242\pi\) |
−0.961753 | + | 0.273917i | \(0.911681\pi\) | |||||||
\(938\) | −18.8976 | − | 2.29458i | −0.617027 | − | 0.0749207i | ||||
\(939\) | 41.1045 | + | 36.4154i | 1.34139 | + | 1.18837i | ||||
\(940\) | 3.96119 | − | 0.976345i | 0.129200 | − | 0.0318449i | ||||
\(941\) | 1.94648 | − | 2.19712i | 0.0634534 | − | 0.0716240i | −0.715927 | − | 0.698175i | \(-0.753996\pi\) |
0.779380 | + | 0.626551i | \(0.215534\pi\) | |||||||
\(942\) | −3.34885 | + | 13.5868i | −0.109111 | + | 0.442682i | ||||
\(943\) | −72.5221 | + | 27.5040i | −2.36164 | + | 0.895653i | ||||
\(944\) | − | 8.04529i | − | 0.261852i | ||||||
\(945\) | −2.35592 | − | 6.21205i | −0.0766380 | − | 0.202078i | ||||
\(946\) | −7.31428 | + | 3.83883i | −0.237808 | + | 0.124811i | ||||
\(947\) | −18.7133 | + | 2.27220i | −0.608100 | + | 0.0738367i | −0.418794 | − | 0.908081i | \(-0.637547\pi\) |
−0.189306 | + | 0.981918i | \(0.560624\pi\) | |||||||
\(948\) | −2.96151 | − | 7.80886i | −0.0961854 | − | 0.253620i | ||||
\(949\) | −29.2704 | + | 11.0796i | −0.950158 | + | 0.359658i | ||||
\(950\) | 1.71711 | − | 4.52765i | 0.0557105 | − | 0.146896i | ||||
\(951\) | 6.15320 | − | 24.9645i | 0.199531 | − | 0.809529i | ||||
\(952\) | −12.8975 | + | 3.17894i | −0.418010 | + | 0.103030i | ||||
\(953\) | 33.6963 | − | 48.8175i | 1.09153 | − | 1.58135i | 0.317439 | − | 0.948279i | \(-0.397177\pi\) |
0.774090 | − | 0.633075i | \(-0.218208\pi\) | |||||||
\(954\) | 15.7622 | + | 30.0323i | 0.510319 | + | 0.972332i | ||||
\(955\) | 5.97074 | + | 24.2243i | 0.193209 | + | 0.783878i | ||||
\(956\) | 4.82564 | + | 0.585938i | 0.156072 | + | 0.0189506i | ||||
\(957\) | 4.52347 | − | 1.71553i | 0.146223 | − | 0.0554551i | ||||
\(958\) | 5.97887 | − | 15.7650i | 0.193169 | − | 0.509344i | ||||
\(959\) | −3.42905 | − | 1.79971i | −0.110730 | − | 0.0581156i | ||||
\(960\) | −6.06107 | − | 24.5907i | −0.195620 | − | 0.793662i | ||||
\(961\) | 10.5637 | + | 15.3042i | 0.340766 | + | 0.493684i | ||||
\(962\) | 23.8382 | + | 5.89162i | 0.768573 | + | 0.189954i | ||||
\(963\) | −1.82260 | + | 2.64049i | −0.0587325 | + | 0.0850887i | ||||
\(964\) | 0.0959397 | + | 0.0363851i | 0.00309001 | + | 0.00117189i | ||||
\(965\) | 4.09057 | − | 10.7860i | 0.131680 | − | 0.347212i | ||||
\(966\) | −3.29021 | − | 27.0974i | −0.105861 | − | 0.871843i | ||||
\(967\) | 43.1628 | − | 5.24091i | 1.38802 | − | 0.168536i | 0.607825 | − | 0.794071i | \(-0.292042\pi\) |
0.780196 | + | 0.625535i | \(0.215119\pi\) | |||||||
\(968\) | −21.6107 | − | 24.3934i | −0.694593 | − | 0.784033i | ||||
\(969\) | −38.8209 | − | 26.7961i | −1.24711 | − | 0.860816i | ||||
\(970\) | 7.18920 | + | 8.11493i | 0.230831 | + | 0.260555i | ||||
\(971\) | 38.6417 | − | 20.2807i | 1.24007 | − | 0.650839i | 0.288268 | − | 0.957550i | \(-0.406921\pi\) |
0.951803 | + | 0.306711i | \(0.0992284\pi\) | |||||||
\(972\) | 0.764614 | + | 6.29716i | 0.0245250 | + | 0.201982i | ||||
\(973\) | −9.73941 | + | 3.69367i | −0.312231 | + | 0.118414i | ||||
\(974\) | 25.1874 | + | 22.3141i | 0.807056 | + | 0.714990i | ||||
\(975\) | 3.65621 | + | 9.65911i | 0.117092 | + | 0.309339i | ||||
\(976\) | 18.5400 | − | 16.4250i | 0.593451 | − | 0.525752i | ||||
\(977\) | −6.56721 | + | 12.5128i | −0.210104 | + | 0.400319i | −0.967588 | − | 0.252534i | \(-0.918736\pi\) |
0.757484 | + | 0.652853i | \(0.226428\pi\) | |||||||
\(978\) | −40.3688 | − | 58.4843i | −1.29085 | − | 1.87012i | ||||
\(979\) | 1.31569 | + | 1.16560i | 0.0420498 | + | 0.0372529i | ||||
\(980\) | 0.754909 | − | 3.06278i | 0.0241147 | − | 0.0978371i | ||||
\(981\) | −5.79117 | − | 2.19630i | −0.184898 | − | 0.0701225i | ||||
\(982\) | −8.77386 | − | 16.7172i | −0.279985 | − | 0.533467i | ||||
\(983\) | 18.2641 | − | 34.7994i | 0.582535 | − | 1.10993i | −0.398694 | − | 0.917084i | \(-0.630537\pi\) |
0.981229 | − | 0.192844i | \(-0.0617711\pi\) | |||||||
\(984\) | −88.4211 | − | 21.7938i | −2.81876 | − | 0.694762i | ||||
\(985\) | 14.0484 | − | 12.4458i | 0.447619 | − | 0.396556i | ||||
\(986\) | −6.35225 | − | 12.1032i | −0.202297 | − | 0.385444i | ||||
\(987\) | 20.3352 | + | 10.6727i | 0.647276 | + | 0.339717i | ||||
\(988\) | 6.35156 | + | 4.39012i | 0.202070 | + | 0.139668i | ||||
\(989\) | 73.5009 | − | 38.5762i | 2.33719 | − | 1.22665i | ||||
\(990\) | 3.19104 | + | 2.20261i | 0.101418 | + | 0.0700036i | ||||
\(991\) | 46.9000 | 1.48983 | 0.744914 | − | 0.667160i | \(-0.232490\pi\) | ||||
0.744914 | + | 0.667160i | \(0.232490\pi\) | |||||||
\(992\) | 10.3467 | 0.328509 | ||||||||
\(993\) | −55.1292 | − | 38.0529i | −1.74947 | − | 1.20757i | ||||
\(994\) | −20.7675 | + | 2.52163i | −0.658704 | + | 0.0799812i | ||||
\(995\) | 12.7190i | 0.403219i | ||||||||
\(996\) | 15.2708 | + | 1.85421i | 0.483875 | + | 0.0587530i | ||||
\(997\) | 12.4940 | + | 18.1006i | 0.395688 | + | 0.573253i | 0.969302 | − | 0.245873i | \(-0.0790746\pi\) |
−0.573614 | + | 0.819125i | \(0.694459\pi\) | |||||||
\(998\) | 19.8740 | + | 4.89850i | 0.629101 | + | 0.155059i | ||||
\(999\) | −29.2518 | + | 20.1910i | −0.925484 | + | 0.638816i |
(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 | 845.2.w.a.116.19 | yes | 744 | |
169.51 | even | 26 | inner | 845.2.w.a.51.19 | ✓ | 744 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.w.a.51.19 | ✓ | 744 | 169.51 | even | 26 | inner | |
845.2.w.a.116.19 | yes | 744 | 1.1 | even | 1 | trivial |