Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(43,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.w (of order \(4\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.26 | ||
Character | \(\chi\) | \(=\) | 280.43 |
Dual form | 280.2.w.a.267.26 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.888618 | − | 1.10016i | 0.628348 | − | 0.777933i | ||||
\(3\) | −0.558179 | − | 0.558179i | −0.322265 | − | 0.322265i | 0.527371 | − | 0.849635i | \(-0.323178\pi\) |
−0.849635 | + | 0.527371i | \(0.823178\pi\) | |||||||
\(4\) | −0.420716 | − | 1.95525i | −0.210358 | − | 0.977624i | ||||
\(5\) | 2.23601 | − | 0.0162376i | 0.999974 | − | 0.00726167i | ||||
\(6\) | −1.11010 | + | 0.118080i | −0.453195 | + | 0.0482059i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | −2.52495 | − | 1.27461i | −0.892704 | − | 0.450644i | ||||
\(9\) | − | 2.37687i | − | 0.792291i | ||||||
\(10\) | 1.96909 | − | 2.47440i | 0.622682 | − | 0.782475i | ||||
\(11\) | −0.332508 | −0.100255 | −0.0501275 | − | 0.998743i | \(-0.515963\pi\) | ||||
−0.0501275 | + | 0.998743i | \(0.515963\pi\) | |||||||
\(12\) | −0.856544 | + | 1.32621i | −0.247263 | + | 0.382845i | ||||
\(13\) | −0.344065 | + | 0.344065i | −0.0954264 | + | 0.0954264i | −0.753208 | − | 0.657782i | \(-0.771495\pi\) |
0.657782 | + | 0.753208i | \(0.271495\pi\) | |||||||
\(14\) | 1.40628 | − | 0.149585i | 0.375844 | − | 0.0399782i | ||||
\(15\) | −1.25716 | − | 1.23903i | −0.324596 | − | 0.319916i | ||||
\(16\) | −3.64600 | + | 1.64521i | −0.911499 | + | 0.411302i | ||||
\(17\) | 2.45246 | − | 2.45246i | 0.594810 | − | 0.594810i | −0.344117 | − | 0.938927i | \(-0.611822\pi\) |
0.938927 | + | 0.344117i | \(0.111822\pi\) | |||||||
\(18\) | −2.61495 | − | 2.11213i | −0.616349 | − | 0.497834i | ||||
\(19\) | 3.31224i | 0.759879i | 0.925011 | + | 0.379940i | \(0.124055\pi\) | ||||
−0.925011 | + | 0.379940i | \(0.875945\pi\) | |||||||
\(20\) | −0.972474 | − | 4.36512i | −0.217452 | − | 0.976071i | ||||
\(21\) | − | 0.789384i | − | 0.172258i | ||||||
\(22\) | −0.295473 | + | 0.365813i | −0.0629950 | + | 0.0779916i | ||||
\(23\) | −3.67636 | + | 3.67636i | −0.766574 | + | 0.766574i | −0.977502 | − | 0.210928i | \(-0.932352\pi\) |
0.210928 | + | 0.977502i | \(0.432352\pi\) | |||||||
\(24\) | 0.697911 | + | 2.12084i | 0.142460 | + | 0.432914i | ||||
\(25\) | 4.99947 | − | 0.0726147i | 0.999895 | − | 0.0145229i | ||||
\(26\) | 0.0727851 | + | 0.684269i | 0.0142743 | + | 0.134196i | ||||
\(27\) | −3.00126 | + | 3.00126i | −0.577592 | + | 0.577592i | ||||
\(28\) | 1.08508 | − | 1.68006i | 0.205061 | − | 0.317502i | ||||
\(29\) | −4.73736 | −0.879706 | −0.439853 | − | 0.898070i | \(-0.644970\pi\) | ||||
−0.439853 | + | 0.898070i | \(0.644970\pi\) | |||||||
\(30\) | −2.48027 | + | 0.282053i | −0.452833 | + | 0.0514956i | ||||
\(31\) | − | 6.34377i | − | 1.13938i | −0.821861 | − | 0.569688i | \(-0.807064\pi\) | ||
0.821861 | − | 0.569688i | \(-0.192936\pi\) | |||||||
\(32\) | −1.42990 | + | 5.47315i | −0.252773 | + | 0.967526i | ||||
\(33\) | 0.185599 | + | 0.185599i | 0.0323086 | + | 0.0323086i | ||||
\(34\) | −0.518806 | − | 4.87741i | −0.0889745 | − | 0.836469i | ||||
\(35\) | 1.59258 | + | 1.56962i | 0.269195 | + | 0.265313i | ||||
\(36\) | −4.64738 | + | 0.999989i | −0.774563 | + | 0.166665i | ||||
\(37\) | 3.90552 | + | 3.90552i | 0.642064 | + | 0.642064i | 0.951062 | − | 0.308999i | \(-0.0999938\pi\) |
−0.308999 | + | 0.951062i | \(0.599994\pi\) | |||||||
\(38\) | 3.64400 | + | 2.94331i | 0.591135 | + | 0.477468i | ||||
\(39\) | 0.384099 | 0.0615051 | ||||||||
\(40\) | −5.66650 | − | 2.80905i | −0.895953 | − | 0.444149i | ||||
\(41\) | 11.7742 | 1.83883 | 0.919414 | − | 0.393291i | \(-0.128664\pi\) | ||||
0.919414 | + | 0.393291i | \(0.128664\pi\) | |||||||
\(42\) | −0.868451 | − | 0.701461i | −0.134005 | − | 0.108238i | ||||
\(43\) | 4.00615 | + | 4.00615i | 0.610931 | + | 0.610931i | 0.943189 | − | 0.332257i | \(-0.107810\pi\) |
−0.332257 | + | 0.943189i | \(0.607810\pi\) | |||||||
\(44\) | 0.139891 | + | 0.650136i | 0.0210894 | + | 0.0980116i | ||||
\(45\) | −0.0385947 | − | 5.31471i | −0.00575335 | − | 0.792270i | ||||
\(46\) | 0.777715 | + | 7.31147i | 0.114668 | + | 1.07802i | ||||
\(47\) | 8.92790 | + | 8.92790i | 1.30227 | + | 1.30227i | 0.926859 | + | 0.375409i | \(0.122498\pi\) |
0.375409 | + | 0.926859i | \(0.377502\pi\) | |||||||
\(48\) | 2.95344 | + | 1.11680i | 0.426292 | + | 0.161196i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 4.36273 | − | 5.56476i | 0.616984 | − | 0.786976i | ||||
\(51\) | −2.73783 | −0.383372 | ||||||||
\(52\) | 0.817486 | + | 0.527979i | 0.113365 | + | 0.0732175i | ||||
\(53\) | −6.32001 | + | 6.32001i | −0.868120 | + | 0.868120i | −0.992264 | − | 0.124145i | \(-0.960381\pi\) |
0.124145 | + | 0.992264i | \(0.460381\pi\) | |||||||
\(54\) | 0.634900 | + | 5.96884i | 0.0863990 | + | 0.812257i | ||||
\(55\) | −0.743491 | + | 0.00539912i | −0.100252 | + | 0.000728018i | ||||
\(56\) | −0.884120 | − | 2.68670i | −0.118146 | − | 0.359025i | ||||
\(57\) | 1.84882 | − | 1.84882i | 0.244882 | − | 0.244882i | ||||
\(58\) | −4.20971 | + | 5.21187i | −0.552761 | + | 0.684352i | ||||
\(59\) | − | 1.33422i | − | 0.173700i | −0.996221 | − | 0.0868501i | \(-0.972320\pi\) | ||
0.996221 | − | 0.0868501i | \(-0.0276801\pi\) | |||||||
\(60\) | −1.89371 | + | 2.97933i | −0.244476 | + | 0.384630i | ||||
\(61\) | 4.71238i | 0.603358i | 0.953410 | + | 0.301679i | \(0.0975471\pi\) | ||||
−0.953410 | + | 0.301679i | \(0.902453\pi\) | |||||||
\(62\) | −6.97919 | − | 5.63719i | −0.886357 | − | 0.715924i | ||||
\(63\) | 1.68070 | − | 1.68070i | 0.211749 | − | 0.211749i | ||||
\(64\) | 4.75072 | + | 6.43666i | 0.593841 | + | 0.804583i | ||||
\(65\) | −0.763745 | + | 0.774919i | −0.0947309 | + | 0.0961168i | ||||
\(66\) | 0.369116 | − | 0.0392625i | 0.0454350 | − | 0.00483288i | ||||
\(67\) | −5.65095 | + | 5.65095i | −0.690374 | + | 0.690374i | −0.962314 | − | 0.271940i | \(-0.912335\pi\) |
0.271940 | + | 0.962314i | \(0.412335\pi\) | |||||||
\(68\) | −5.82697 | − | 3.76338i | −0.706623 | − | 0.456377i | ||||
\(69\) | 4.10413 | 0.494080 | ||||||||
\(70\) | 3.14203 | − | 0.357307i | 0.375544 | − | 0.0427064i | ||||
\(71\) | − | 13.9236i | − | 1.65243i | −0.563354 | − | 0.826216i | \(-0.690489\pi\) | ||
0.563354 | − | 0.826216i | \(-0.309511\pi\) | |||||||
\(72\) | −3.02959 | + | 6.00148i | −0.357041 | + | 0.707281i | ||||
\(73\) | 2.81208 | + | 2.81208i | 0.329129 | + | 0.329129i | 0.852255 | − | 0.523126i | \(-0.175234\pi\) |
−0.523126 | + | 0.852255i | \(0.675234\pi\) | |||||||
\(74\) | 7.76723 | − | 0.826193i | 0.902922 | − | 0.0960430i | ||||
\(75\) | −2.83113 | − | 2.75007i | −0.326911 | − | 0.317551i | ||||
\(76\) | 6.47625 | − | 1.39351i | 0.742876 | − | 0.159847i | ||||
\(77\) | −0.235119 | − | 0.235119i | −0.0267943 | − | 0.0267943i | ||||
\(78\) | 0.341318 | − | 0.422572i | 0.0386466 | − | 0.0478468i | ||||
\(79\) | −9.77168 | −1.09940 | −0.549700 | − | 0.835362i | \(-0.685258\pi\) | ||||
−0.549700 | + | 0.835362i | \(0.685258\pi\) | |||||||
\(80\) | −8.12577 | + | 3.73791i | −0.908488 | + | 0.417911i | ||||
\(81\) | −3.78014 | −0.420016 | ||||||||
\(82\) | 10.4628 | − | 12.9536i | 1.15542 | − | 1.43048i | ||||
\(83\) | −7.54949 | − | 7.54949i | −0.828664 | − | 0.828664i | 0.158668 | − | 0.987332i | \(-0.449280\pi\) |
−0.987332 | + | 0.158668i | \(0.949280\pi\) | |||||||
\(84\) | −1.54344 | + | 0.332107i | −0.168403 | + | 0.0362358i | ||||
\(85\) | 5.44391 | − | 5.52355i | 0.590475 | − | 0.599113i | ||||
\(86\) | 7.96734 | − | 0.847479i | 0.859141 | − | 0.0913860i | ||||
\(87\) | 2.64430 | + | 2.64430i | 0.283498 | + | 0.283498i | ||||
\(88\) | 0.839565 | + | 0.423819i | 0.0894979 | + | 0.0451792i | ||||
\(89\) | − | 3.25251i | − | 0.344765i | −0.985030 | − | 0.172383i | \(-0.944853\pi\) | ||
0.985030 | − | 0.172383i | \(-0.0551465\pi\) | |||||||
\(90\) | −5.88134 | − | 4.68028i | −0.619948 | − | 0.493345i | ||||
\(91\) | −0.486581 | −0.0510076 | ||||||||
\(92\) | 8.73490 | + | 5.64149i | 0.910676 | + | 0.588166i | ||||
\(93\) | −3.54096 | + | 3.54096i | −0.367181 | + | 0.367181i | ||||
\(94\) | 17.7556 | − | 1.88865i | 1.83135 | − | 0.194799i | ||||
\(95\) | 0.0537827 | + | 7.40619i | 0.00551799 | + | 0.759859i | ||||
\(96\) | 3.85314 | − | 2.25686i | 0.393259 | − | 0.230340i | ||||
\(97\) | −5.14743 | + | 5.14743i | −0.522642 | + | 0.522642i | −0.918368 | − | 0.395726i | \(-0.870493\pi\) |
0.395726 | + | 0.918368i | \(0.370493\pi\) | |||||||
\(98\) | 1.10016 | + | 0.888618i | 0.111133 | + | 0.0897640i | ||||
\(99\) | 0.790329i | 0.0794310i | ||||||||
\(100\) | −2.24534 | − | 9.74466i | −0.224534 | − | 0.974466i | ||||
\(101\) | − | 9.75111i | − | 0.970272i | −0.874439 | − | 0.485136i | \(-0.838770\pi\) | ||
0.874439 | − | 0.485136i | \(-0.161230\pi\) | |||||||
\(102\) | −2.43288 | + | 3.01206i | −0.240891 | + | 0.298238i | ||||
\(103\) | −3.23389 | + | 3.23389i | −0.318645 | + | 0.318645i | −0.848246 | − | 0.529602i | \(-0.822341\pi\) |
0.529602 | + | 0.848246i | \(0.322341\pi\) | |||||||
\(104\) | 1.30729 | − | 0.430196i | 0.128191 | − | 0.0421842i | ||||
\(105\) | −0.0128177 | − | 1.76507i | −0.00125088 | − | 0.172253i | ||||
\(106\) | 1.33696 | + | 12.5691i | 0.129857 | + | 1.22082i | ||||
\(107\) | 2.83452 | − | 2.83452i | 0.274024 | − | 0.274024i | −0.556694 | − | 0.830718i | \(-0.687930\pi\) |
0.830718 | + | 0.556694i | \(0.187930\pi\) | |||||||
\(108\) | 7.13088 | + | 4.60553i | 0.686169 | + | 0.443167i | ||||
\(109\) | −7.34261 | −0.703294 | −0.351647 | − | 0.936133i | \(-0.614378\pi\) | ||||
−0.351647 | + | 0.936133i | \(0.614378\pi\) | |||||||
\(110\) | −0.654739 | + | 0.822759i | −0.0624269 | + | 0.0784470i | ||||
\(111\) | − | 4.35996i | − | 0.413829i | ||||||
\(112\) | −3.74145 | − | 1.41477i | −0.353534 | − | 0.133683i | ||||
\(113\) | −5.54684 | − | 5.54684i | −0.521803 | − | 0.521803i | 0.396313 | − | 0.918115i | \(-0.370290\pi\) |
−0.918115 | + | 0.396313i | \(0.870290\pi\) | |||||||
\(114\) | −0.391108 | − | 3.67690i | −0.0366307 | − | 0.344373i | ||||
\(115\) | −8.16068 | + | 8.28007i | −0.760987 | + | 0.772120i | ||||
\(116\) | 1.99309 | + | 9.26272i | 0.185053 | + | 0.860022i | ||||
\(117\) | 0.817798 | + | 0.817798i | 0.0756055 | + | 0.0756055i | ||||
\(118\) | −1.46785 | − | 1.18561i | −0.135127 | − | 0.109144i | ||||
\(119\) | 3.46831 | 0.317939 | ||||||||
\(120\) | 1.59497 | + | 4.73087i | 0.145600 | + | 0.431868i | ||||
\(121\) | −10.8894 | −0.989949 | ||||||||
\(122\) | 5.18438 | + | 4.18750i | 0.469372 | + | 0.379119i | ||||
\(123\) | −6.57214 | − | 6.57214i | −0.592590 | − | 0.592590i | ||||
\(124\) | −12.4037 | + | 2.66893i | −1.11388 | + | 0.239677i | ||||
\(125\) | 11.1777 | − | 0.243547i | 0.999763 | − | 0.0217835i | ||||
\(126\) | −0.355544 | − | 3.34255i | −0.0316744 | − | 0.297778i | ||||
\(127\) | −5.14901 | − | 5.14901i | −0.456901 | − | 0.456901i | 0.440736 | − | 0.897637i | \(-0.354718\pi\) |
−0.897637 | + | 0.440736i | \(0.854718\pi\) | |||||||
\(128\) | 11.3030 | + | 0.493164i | 0.999050 | + | 0.0435899i | ||||
\(129\) | − | 4.47229i | − | 0.393763i | ||||||
\(130\) | 0.173859 | + | 1.52885i | 0.0152484 | + | 0.134089i | ||||
\(131\) | −2.41071 | −0.210625 | −0.105312 | − | 0.994439i | \(-0.533584\pi\) | ||||
−0.105312 | + | 0.994439i | \(0.533584\pi\) | |||||||
\(132\) | 0.284808 | − | 0.440977i | 0.0247893 | − | 0.0383821i | ||||
\(133\) | −2.34210 | + | 2.34210i | −0.203086 | + | 0.203086i | ||||
\(134\) | 1.19543 | + | 11.2385i | 0.103269 | + | 0.970859i | ||||
\(135\) | −6.66211 | + | 6.75957i | −0.573383 | + | 0.581771i | ||||
\(136\) | −9.31828 | + | 3.06640i | −0.799036 | + | 0.262942i | ||||
\(137\) | 1.67262 | − | 1.67262i | 0.142902 | − | 0.142902i | −0.632037 | − | 0.774938i | \(-0.717781\pi\) |
0.774938 | + | 0.632037i | \(0.217781\pi\) | |||||||
\(138\) | 3.64701 | − | 4.51521i | 0.310454 | − | 0.384361i | ||||
\(139\) | 3.97137i | 0.336847i | 0.985715 | + | 0.168424i | \(0.0538677\pi\) | ||||
−0.985715 | + | 0.168424i | \(0.946132\pi\) | |||||||
\(140\) | 2.39896 | − | 3.77425i | 0.202750 | − | 0.318982i | ||||
\(141\) | − | 9.96673i | − | 0.839350i | ||||||
\(142\) | −15.3183 | − | 12.3728i | −1.28548 | − | 1.03830i | ||||
\(143\) | 0.114404 | − | 0.114404i | 0.00956696 | − | 0.00956696i | ||||
\(144\) | 3.91045 | + | 8.66607i | 0.325871 | + | 0.722172i | ||||
\(145\) | −10.5928 | + | 0.0769233i | −0.879683 | + | 0.00638813i | ||||
\(146\) | 5.59261 | − | 0.594881i | 0.462848 | − | 0.0492327i | ||||
\(147\) | 0.558179 | − | 0.558179i | 0.0460378 | − | 0.0460378i | ||||
\(148\) | 5.99315 | − | 9.27938i | 0.492634 | − | 0.762761i | ||||
\(149\) | 23.6830 | 1.94019 | 0.970093 | − | 0.242734i | \(-0.0780443\pi\) | ||||
0.970093 | + | 0.242734i | \(0.0780443\pi\) | |||||||
\(150\) | −5.54132 | + | 0.670946i | −0.452447 | + | 0.0547825i | ||||
\(151\) | − | 4.67325i | − | 0.380304i | −0.981755 | − | 0.190152i | \(-0.939102\pi\) | ||
0.981755 | − | 0.190152i | \(-0.0608981\pi\) | |||||||
\(152\) | 4.22182 | − | 8.36322i | 0.342435 | − | 0.678347i | ||||
\(153\) | −5.82919 | − | 5.82919i | −0.471262 | − | 0.471262i | ||||
\(154\) | −0.467599 | + | 0.0497381i | −0.0376802 | + | 0.00400801i | ||||
\(155\) | −0.103008 | − | 14.1847i | −0.00827377 | − | 1.13935i | ||||
\(156\) | −0.161597 | − | 0.751010i | −0.0129381 | − | 0.0601289i | ||||
\(157\) | −10.9134 | − | 10.9134i | −0.870986 | − | 0.870986i | 0.121594 | − | 0.992580i | \(-0.461199\pi\) |
−0.992580 | + | 0.121594i | \(0.961199\pi\) | |||||||
\(158\) | −8.68329 | + | 10.7504i | −0.690805 | + | 0.855259i | ||||
\(159\) | 7.05539 | 0.559529 | ||||||||
\(160\) | −3.10840 | + | 12.2612i | −0.245740 | + | 0.969336i | ||||
\(161\) | −5.19916 | −0.409751 | ||||||||
\(162\) | −3.35910 | + | 4.15877i | −0.263916 | + | 0.326744i | ||||
\(163\) | 5.80117 | + | 5.80117i | 0.454383 | + | 0.454383i | 0.896806 | − | 0.442423i | \(-0.145881\pi\) |
−0.442423 | + | 0.896806i | \(0.645881\pi\) | |||||||
\(164\) | −4.95362 | − | 23.0216i | −0.386812 | − | 1.79768i | ||||
\(165\) | 0.418015 | + | 0.411987i | 0.0325424 | + | 0.0320732i | ||||
\(166\) | −15.0143 | + | 1.59705i | −1.16533 | + | 0.123955i | ||||
\(167\) | 4.69952 | + | 4.69952i | 0.363660 | + | 0.363660i | 0.865158 | − | 0.501499i | \(-0.167218\pi\) |
−0.501499 | + | 0.865158i | \(0.667218\pi\) | |||||||
\(168\) | −1.00616 | + | 1.99315i | −0.0776269 | + | 0.153775i | ||||
\(169\) | 12.7632i | 0.981788i | ||||||||
\(170\) | −1.23925 | − | 10.8975i | −0.0950463 | − | 0.835801i | ||||
\(171\) | 7.87276 | 0.602045 | ||||||||
\(172\) | 6.14756 | − | 9.51846i | 0.468747 | − | 0.725776i | ||||
\(173\) | −11.7008 | + | 11.7008i | −0.889592 | + | 0.889592i | −0.994484 | − | 0.104891i | \(-0.966551\pi\) |
0.104891 | + | 0.994484i | \(0.466551\pi\) | |||||||
\(174\) | 5.25893 | − | 0.559387i | 0.398678 | − | 0.0424070i | ||||
\(175\) | 3.58651 | + | 3.48381i | 0.271114 | + | 0.263352i | ||||
\(176\) | 1.21232 | − | 0.547045i | 0.0913822 | − | 0.0412351i | ||||
\(177\) | −0.744731 | + | 0.744731i | −0.0559774 | + | 0.0559774i | ||||
\(178\) | −3.57829 | − | 2.89024i | −0.268204 | − | 0.216632i | ||||
\(179\) | − | 15.7077i | − | 1.17405i | −0.809569 | − | 0.587024i | \(-0.800299\pi\) | ||
0.809569 | − | 0.587024i | \(-0.199701\pi\) | |||||||
\(180\) | −10.3753 | + | 2.31145i | −0.773332 | + | 0.172285i | ||||
\(181\) | 16.4949i | 1.22605i | 0.790062 | + | 0.613027i | \(0.210048\pi\) | ||||
−0.790062 | + | 0.613027i | \(0.789952\pi\) | |||||||
\(182\) | −0.432385 | + | 0.535318i | −0.0320505 | + | 0.0396804i | ||||
\(183\) | 2.63035 | − | 2.63035i | 0.194441 | − | 0.194441i | ||||
\(184\) | 13.9686 | − | 4.59668i | 1.02978 | − | 0.338872i | ||||
\(185\) | 8.79620 | + | 8.66937i | 0.646709 | + | 0.637384i | ||||
\(186\) | 0.749072 | + | 7.04220i | 0.0549246 | + | 0.516359i | ||||
\(187\) | −0.815463 | + | 0.815463i | −0.0596326 | + | 0.0596326i | ||||
\(188\) | 13.7002 | − | 21.2124i | 0.999186 | − | 1.54707i | ||||
\(189\) | −4.24442 | −0.308736 | ||||||||
\(190\) | 8.19581 | + | 6.52210i | 0.594586 | + | 0.473163i | ||||
\(191\) | − | 14.9385i | − | 1.08091i | −0.841371 | − | 0.540457i | \(-0.818251\pi\) | ||
0.841371 | − | 0.540457i | \(-0.181749\pi\) | |||||||
\(192\) | 0.941055 | − | 6.24456i | 0.0679148 | − | 0.450663i | ||||
\(193\) | −11.2868 | − | 11.2868i | −0.812444 | − | 0.812444i | 0.172556 | − | 0.985000i | \(-0.444797\pi\) |
−0.985000 | + | 0.172556i | \(0.944797\pi\) | |||||||
\(194\) | 1.08891 | + | 10.2371i | 0.0781793 | + | 0.734981i | ||||
\(195\) | 0.858850 | − | 0.00623685i | 0.0615035 | − | 0.000446630i | ||||
\(196\) | 1.95525 | − | 0.420716i | 0.139661 | − | 0.0300512i | ||||
\(197\) | −15.9354 | − | 15.9354i | −1.13535 | − | 1.13535i | −0.989273 | − | 0.146075i | \(-0.953336\pi\) |
−0.146075 | − | 0.989273i | \(-0.546664\pi\) | |||||||
\(198\) | 0.869490 | + | 0.702300i | 0.0617920 | + | 0.0499103i | ||||
\(199\) | 1.10949 | 0.0786500 | 0.0393250 | − | 0.999226i | \(-0.487479\pi\) | ||||
0.0393250 | + | 0.999226i | \(0.487479\pi\) | |||||||
\(200\) | −12.7160 | − | 6.18904i | −0.899154 | − | 0.437631i | ||||
\(201\) | 6.30849 | 0.444966 | ||||||||
\(202\) | −10.7278 | − | 8.66501i | −0.754806 | − | 0.609668i | ||||
\(203\) | −3.34982 | − | 3.34982i | −0.235111 | − | 0.235111i | ||||
\(204\) | 1.15185 | + | 5.35313i | 0.0806455 | + | 0.374794i | ||||
\(205\) | 26.3273 | − | 0.191185i | 1.83878 | − | 0.0133530i | ||||
\(206\) | 0.684113 | + | 6.43150i | 0.0476644 | + | 0.448104i | ||||
\(207\) | 8.73824 | + | 8.73824i | 0.607349 | + | 0.607349i | ||||
\(208\) | 0.688400 | − | 1.82052i | 0.0477319 | − | 0.126230i | ||||
\(209\) | − | 1.10134i | − | 0.0761816i | ||||||
\(210\) | −1.95325 | − | 1.55437i | −0.134787 | − | 0.107262i | ||||
\(211\) | 3.66270 | 0.252150 | 0.126075 | − | 0.992021i | \(-0.459762\pi\) | ||||
0.126075 | + | 0.992021i | \(0.459762\pi\) | |||||||
\(212\) | 15.0161 | + | 9.69825i | 1.03131 | + | 0.666079i | ||||
\(213\) | −7.77188 | + | 7.77188i | −0.532520 | + | 0.532520i | ||||
\(214\) | −0.599629 | − | 5.63725i | −0.0409898 | − | 0.385354i | ||||
\(215\) | 9.02283 | + | 8.89273i | 0.615352 | + | 0.606479i | ||||
\(216\) | 11.4035 | − | 3.75258i | 0.775907 | − | 0.255331i | ||||
\(217\) | 4.48573 | − | 4.48573i | 0.304511 | − | 0.304511i | ||||
\(218\) | −6.52477 | + | 8.07806i | −0.441913 | + | 0.547115i | ||||
\(219\) | − | 3.13929i | − | 0.212134i | ||||||
\(220\) | 0.323355 | + | 1.45144i | 0.0218006 | + | 0.0978559i | ||||
\(221\) | 1.68761i | 0.113521i | ||||||||
\(222\) | −4.79667 | − | 3.87434i | −0.321931 | − | 0.260029i | ||||
\(223\) | 3.58964 | − | 3.58964i | 0.240380 | − | 0.240380i | −0.576627 | − | 0.817007i | \(-0.695632\pi\) |
0.817007 | + | 0.576627i | \(0.195632\pi\) | |||||||
\(224\) | −4.88119 | + | 2.85901i | −0.326138 | + | 0.191026i | ||||
\(225\) | −0.172596 | − | 11.8831i | −0.0115064 | − | 0.792207i | ||||
\(226\) | −11.0314 | + | 1.17340i | −0.733801 | + | 0.0780537i | ||||
\(227\) | 15.5690 | − | 15.5690i | 1.03335 | − | 1.03335i | 0.0339274 | − | 0.999424i | \(-0.489198\pi\) |
0.999424 | − | 0.0339274i | \(-0.0108015\pi\) | |||||||
\(228\) | −4.39273 | − | 2.83708i | −0.290916 | − | 0.187890i | ||||
\(229\) | −10.1663 | −0.671810 | −0.335905 | − | 0.941896i | \(-0.609042\pi\) | ||||
−0.335905 | + | 0.941896i | \(0.609042\pi\) | |||||||
\(230\) | 1.85770 | + | 16.3359i | 0.122493 | + | 1.07716i | ||||
\(231\) | 0.262477i | 0.0172697i | ||||||||
\(232\) | 11.9616 | + | 6.03830i | 0.785317 | + | 0.396434i | ||||
\(233\) | 16.6989 | + | 16.6989i | 1.09398 | + | 1.09398i | 0.995099 | + | 0.0988787i | \(0.0315256\pi\) |
0.0988787 | + | 0.995099i | \(0.468474\pi\) | |||||||
\(234\) | 1.62642 | − | 0.173001i | 0.106322 | − | 0.0113094i | ||||
\(235\) | 20.1078 | + | 19.8179i | 1.31169 | + | 1.29278i | ||||
\(236\) | −2.60872 | + | 0.561326i | −0.169813 | + | 0.0365392i | ||||
\(237\) | 5.45434 | + | 5.45434i | 0.354298 | + | 0.354298i | ||||
\(238\) | 3.08200 | − | 3.81570i | 0.199776 | − | 0.247335i | ||||
\(239\) | −27.2384 | −1.76190 | −0.880952 | − | 0.473206i | \(-0.843097\pi\) | ||||
−0.880952 | + | 0.473206i | \(0.843097\pi\) | |||||||
\(240\) | 6.62205 | + | 2.44921i | 0.427452 | + | 0.158096i | ||||
\(241\) | −19.1327 | −1.23244 | −0.616222 | − | 0.787573i | \(-0.711338\pi\) | ||||
−0.616222 | + | 0.787573i | \(0.711338\pi\) | |||||||
\(242\) | −9.67655 | + | 11.9802i | −0.622032 | + | 0.770114i | ||||
\(243\) | 11.1138 | + | 11.1138i | 0.712948 | + | 0.712948i | ||||
\(244\) | 9.21387 | − | 1.98257i | 0.589857 | − | 0.126921i | ||||
\(245\) | 0.0162376 | + | 2.23601i | 0.00103738 | + | 0.142853i | ||||
\(246\) | −13.0705 | + | 1.39030i | −0.833347 | + | 0.0886424i | ||||
\(247\) | −1.13962 | − | 1.13962i | −0.0725125 | − | 0.0725125i | ||||
\(248\) | −8.08586 | + | 16.0177i | −0.513452 | + | 1.01713i | ||||
\(249\) | 8.42793i | 0.534098i | ||||||||
\(250\) | 9.66475 | − | 12.5137i | 0.611253 | − | 0.791436i | ||||
\(251\) | 26.9766 | 1.70275 | 0.851374 | − | 0.524559i | \(-0.175770\pi\) | ||||
0.851374 | + | 0.524559i | \(0.175770\pi\) | |||||||
\(252\) | −3.99329 | − | 2.57909i | −0.251554 | − | 0.162468i | ||||
\(253\) | 1.22242 | − | 1.22242i | 0.0768528 | − | 0.0768528i | ||||
\(254\) | −10.2403 | + | 1.08925i | −0.642531 | + | 0.0683454i | ||||
\(255\) | −6.12181 | + | 0.0444557i | −0.383362 | + | 0.00278392i | ||||
\(256\) | 10.5866 | − | 11.9969i | 0.661661 | − | 0.749804i | ||||
\(257\) | −11.3237 | + | 11.3237i | −0.706353 | + | 0.706353i | −0.965766 | − | 0.259413i | \(-0.916471\pi\) |
0.259413 | + | 0.965766i | \(0.416471\pi\) | |||||||
\(258\) | −4.92025 | − | 3.97416i | −0.306321 | − | 0.247420i | ||||
\(259\) | 5.52324i | 0.343198i | ||||||||
\(260\) | 1.83648 | + | 1.16729i | 0.113894 | + | 0.0723923i | ||||
\(261\) | 11.2601i | 0.696983i | ||||||||
\(262\) | −2.14220 | + | 2.65217i | −0.132345 | + | 0.163852i | ||||
\(263\) | 12.4550 | − | 12.4550i | 0.768010 | − | 0.768010i | −0.209746 | − | 0.977756i | \(-0.567264\pi\) |
0.977756 | + | 0.209746i | \(0.0672636\pi\) | |||||||
\(264\) | −0.232061 | − | 0.705194i | −0.0142824 | − | 0.0434017i | ||||
\(265\) | −14.0290 | + | 14.2342i | −0.861793 | + | 0.874401i | ||||
\(266\) | 0.495460 | + | 4.65793i | 0.0303786 | + | 0.285596i | ||||
\(267\) | −1.81548 | + | 1.81548i | −0.111106 | + | 0.111106i | ||||
\(268\) | 13.4265 | + | 8.67157i | 0.820152 | + | 0.529701i | ||||
\(269\) | −15.7030 | −0.957432 | −0.478716 | − | 0.877970i | \(-0.658898\pi\) | ||||
−0.478716 | + | 0.877970i | \(0.658898\pi\) | |||||||
\(270\) | 1.51656 | + | 13.3361i | 0.0922951 | + | 0.811608i | ||||
\(271\) | 5.72812i | 0.347958i | 0.984749 | + | 0.173979i | \(0.0556625\pi\) | ||||
−0.984749 | + | 0.173979i | \(0.944337\pi\) | |||||||
\(272\) | −4.90685 | + | 12.9765i | −0.297522 | + | 0.786815i | ||||
\(273\) | 0.271599 | + | 0.271599i | 0.0164379 | + | 0.0164379i | ||||
\(274\) | −0.353835 | − | 3.32648i | −0.0213759 | − | 0.200960i | ||||
\(275\) | −1.66236 | + | 0.0241450i | −0.100244 | + | 0.00145600i | ||||
\(276\) | −1.72668 | − | 8.02460i | −0.103934 | − | 0.483024i | ||||
\(277\) | −20.6198 | − | 20.6198i | −1.23892 | − | 1.23892i | −0.960442 | − | 0.278480i | \(-0.910170\pi\) |
−0.278480 | − | 0.960442i | \(-0.589830\pi\) | |||||||
\(278\) | 4.36915 | + | 3.52903i | 0.262044 | + | 0.211657i | ||||
\(279\) | −15.0783 | −0.902717 | ||||||||
\(280\) | −2.02053 | − | 5.99312i | −0.120750 | − | 0.358157i | ||||
\(281\) | 18.7401 | 1.11794 | 0.558970 | − | 0.829188i | \(-0.311197\pi\) | ||||
0.558970 | + | 0.829188i | \(0.311197\pi\) | |||||||
\(282\) | −10.9650 | − | 8.85662i | −0.652958 | − | 0.527404i | ||||
\(283\) | 4.19190 | + | 4.19190i | 0.249183 | + | 0.249183i | 0.820635 | − | 0.571452i | \(-0.193620\pi\) |
−0.571452 | + | 0.820635i | \(0.693620\pi\) | |||||||
\(284\) | −27.2242 | + | 5.85790i | −1.61546 | + | 0.347602i | ||||
\(285\) | 4.10396 | − | 4.16400i | 0.243098 | − | 0.246654i | ||||
\(286\) | −0.0242016 | − | 0.227525i | −0.00143107 | − | 0.0134538i | ||||
\(287\) | 8.32565 | + | 8.32565i | 0.491447 | + | 0.491447i | ||||
\(288\) | 13.0090 | + | 3.39869i | 0.766562 | + | 0.200270i | ||||
\(289\) | 4.97085i | 0.292403i | ||||||||
\(290\) | −9.32831 | + | 11.7221i | −0.547777 | + | 0.688348i | ||||
\(291\) | 5.74637 | 0.336858 | ||||||||
\(292\) | 4.31523 | − | 6.68141i | 0.252530 | − | 0.391000i | ||||
\(293\) | 5.68735 | − | 5.68735i | 0.332258 | − | 0.332258i | −0.521185 | − | 0.853444i | \(-0.674510\pi\) |
0.853444 | + | 0.521185i | \(0.174510\pi\) | |||||||
\(294\) | −0.118080 | − | 1.11010i | −0.00688656 | − | 0.0647421i | ||||
\(295\) | −0.0216644 | − | 2.98332i | −0.00126135 | − | 0.173696i | ||||
\(296\) | −4.88321 | − | 14.8393i | −0.283831 | − | 0.862515i | ||||
\(297\) | 0.997942 | − | 0.997942i | 0.0579065 | − | 0.0579065i | ||||
\(298\) | 21.0451 | − | 26.0551i | 1.21911 | − | 1.50933i | ||||
\(299\) | − | 2.52981i | − | 0.146303i | ||||||
\(300\) | −4.18596 | + | 6.69257i | −0.241677 | + | 0.386396i | ||||
\(301\) | 5.66554i | 0.326557i | ||||||||
\(302\) | −5.14134 | − | 4.15274i | −0.295851 | − | 0.238963i | ||||
\(303\) | −5.44287 | + | 5.44287i | −0.312684 | + | 0.312684i | ||||
\(304\) | −5.44932 | − | 12.0764i | −0.312540 | − | 0.692629i | ||||
\(305\) | 0.0765176 | + | 10.5369i | 0.00438138 | + | 0.603342i | ||||
\(306\) | −11.5930 | + | 1.23314i | −0.662727 | + | 0.0704937i | ||||
\(307\) | −3.12720 | + | 3.12720i | −0.178479 | + | 0.178479i | −0.790692 | − | 0.612214i | \(-0.790279\pi\) |
0.612214 | + | 0.790692i | \(0.290279\pi\) | |||||||
\(308\) | −0.360797 | + | 0.558634i | −0.0205583 | + | 0.0318311i | ||||
\(309\) | 3.61018 | 0.205376 | ||||||||
\(310\) | −15.6971 | − | 12.4915i | −0.891533 | − | 0.709469i | ||||
\(311\) | 1.94456i | 0.110266i | 0.998479 | + | 0.0551331i | \(0.0175583\pi\) | ||||
−0.998479 | + | 0.0551331i | \(0.982442\pi\) | |||||||
\(312\) | −0.969831 | − | 0.489578i | −0.0549059 | − | 0.0277169i | ||||
\(313\) | 14.9476 | + | 14.9476i | 0.844891 | + | 0.844891i | 0.989490 | − | 0.144599i | \(-0.0461893\pi\) |
−0.144599 | + | 0.989490i | \(0.546189\pi\) | |||||||
\(314\) | −21.7044 | + | 2.30868i | −1.22485 | + | 0.130286i | ||||
\(315\) | 3.73078 | − | 3.78536i | 0.210205 | − | 0.213281i | ||||
\(316\) | 4.11110 | + | 19.1061i | 0.231268 | + | 1.07480i | ||||
\(317\) | 14.3334 | + | 14.3334i | 0.805044 | + | 0.805044i | 0.983879 | − | 0.178835i | \(-0.0572329\pi\) |
−0.178835 | + | 0.983879i | \(0.557233\pi\) | |||||||
\(318\) | 6.26955 | − | 7.76208i | 0.351579 | − | 0.435276i | ||||
\(319\) | 1.57521 | 0.0881949 | ||||||||
\(320\) | 10.7272 | + | 14.3153i | 0.599667 | + | 0.800249i | ||||
\(321\) | −3.16434 | −0.176616 | ||||||||
\(322\) | −4.62006 | + | 5.71992i | −0.257466 | + | 0.318759i | ||||
\(323\) | 8.12314 | + | 8.12314i | 0.451983 | + | 0.451983i | ||||
\(324\) | 1.59037 | + | 7.39111i | 0.0883537 | + | 0.410617i | ||||
\(325\) | −1.69516 | + | 1.74513i | −0.0940305 | + | 0.0968022i | ||||
\(326\) | 11.5373 | − | 1.22721i | 0.638990 | − | 0.0679688i | ||||
\(327\) | 4.09849 | + | 4.09849i | 0.226647 | + | 0.226647i | ||||
\(328\) | −29.7294 | − | 15.0076i | −1.64153 | − | 0.828656i | ||||
\(329\) | 12.6260i | 0.696092i | ||||||||
\(330\) | 0.824708 | − | 0.0937848i | 0.0453987 | − | 0.00516268i | ||||
\(331\) | −6.19729 | −0.340634 | −0.170317 | − | 0.985389i | \(-0.554479\pi\) | ||||
−0.170317 | + | 0.985389i | \(0.554479\pi\) | |||||||
\(332\) | −11.5849 | + | 17.9373i | −0.635806 | + | 0.984438i | ||||
\(333\) | 9.28293 | − | 9.28293i | 0.508701 | − | 0.508701i | ||||
\(334\) | 9.34631 | − | 0.994159i | 0.511407 | − | 0.0543980i | ||||
\(335\) | −12.5438 | + | 12.7273i | −0.685342 | + | 0.695369i | ||||
\(336\) | 1.29870 | + | 2.87809i | 0.0708500 | + | 0.157013i | ||||
\(337\) | −8.25360 | + | 8.25360i | −0.449602 | + | 0.449602i | −0.895222 | − | 0.445620i | \(-0.852983\pi\) |
0.445620 | + | 0.895222i | \(0.352983\pi\) | |||||||
\(338\) | 14.0416 | + | 11.3416i | 0.763765 | + | 0.616904i | ||||
\(339\) | 6.19226i | 0.336317i | ||||||||
\(340\) | −13.0903 | − | 8.32035i | −0.709919 | − | 0.451234i | ||||
\(341\) | 2.10936i | 0.114228i | ||||||||
\(342\) | 6.99588 | − | 8.66132i | 0.378294 | − | 0.468351i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −5.00902 | − | 15.2216i | −0.270068 | − | 0.820693i | ||||
\(345\) | 9.17688 | − | 0.0666412i | 0.494067 | − | 0.00358784i | ||||
\(346\) | 2.47524 | + | 23.2702i | 0.133069 | + | 1.25102i | ||||
\(347\) | 8.25513 | − | 8.25513i | 0.443158 | − | 0.443158i | −0.449914 | − | 0.893072i | \(-0.648545\pi\) |
0.893072 | + | 0.449914i | \(0.148545\pi\) | |||||||
\(348\) | 4.05776 | − | 6.28276i | 0.217519 | − | 0.336791i | ||||
\(349\) | 16.8787 | 0.903495 | 0.451747 | − | 0.892146i | \(-0.350801\pi\) | ||||
0.451747 | + | 0.892146i | \(0.350801\pi\) | |||||||
\(350\) | 7.01980 | − | 0.849962i | 0.375224 | − | 0.0454324i | ||||
\(351\) | − | 2.06525i | − | 0.110235i | ||||||
\(352\) | 0.475453 | − | 1.81987i | 0.0253417 | − | 0.0969992i | ||||
\(353\) | −3.09866 | − | 3.09866i | −0.164925 | − | 0.164925i | 0.619820 | − | 0.784744i | \(-0.287206\pi\) |
−0.784744 | + | 0.619820i | \(0.787206\pi\) | |||||||
\(354\) | 0.157544 | + | 1.48111i | 0.00837337 | + | 0.0787200i | ||||
\(355\) | −0.226086 | − | 31.1334i | −0.0119994 | − | 1.65239i | ||||
\(356\) | −6.35946 | + | 1.36838i | −0.337051 | + | 0.0725242i | ||||
\(357\) | −1.93594 | − | 1.93594i | −0.102461 | − | 0.102461i | ||||
\(358\) | −17.2810 | − | 13.9581i | −0.913330 | − | 0.737711i | ||||
\(359\) | −21.0490 | −1.11092 | −0.555461 | − | 0.831542i | \(-0.687458\pi\) | ||||
−0.555461 | + | 0.831542i | \(0.687458\pi\) | |||||||
\(360\) | −6.67675 | + | 13.4686i | −0.351895 | + | 0.709855i | ||||
\(361\) | 8.02909 | 0.422584 | ||||||||
\(362\) | 18.1470 | + | 14.6576i | 0.953787 | + | 0.770388i | ||||
\(363\) | 6.07826 | + | 6.07826i | 0.319026 | + | 0.319026i | ||||
\(364\) | 0.204713 | + | 0.951387i | 0.0107299 | + | 0.0498662i | ||||
\(365\) | 6.33350 | + | 6.24218i | 0.331511 | + | 0.326731i | ||||
\(366\) | −0.556437 | − | 5.23119i | −0.0290854 | − | 0.273439i | ||||
\(367\) | 25.8405 | + | 25.8405i | 1.34886 | + | 1.34886i | 0.886901 | + | 0.461960i | \(0.152854\pi\) |
0.461960 | + | 0.886901i | \(0.347146\pi\) | |||||||
\(368\) | 7.35561 | − | 19.4524i | 0.383438 | − | 1.01403i | ||||
\(369\) | − | 27.9859i | − | 1.45689i | ||||||
\(370\) | 17.3542 | − | 1.97350i | 0.902201 | − | 0.102597i | ||||
\(371\) | −8.93784 | −0.464029 | ||||||||
\(372\) | 8.41320 | + | 5.43372i | 0.436204 | + | 0.281725i | ||||
\(373\) | 15.8658 | − | 15.8658i | 0.821498 | − | 0.821498i | −0.164825 | − | 0.986323i | \(-0.552706\pi\) |
0.986323 | + | 0.164825i | \(0.0527058\pi\) | |||||||
\(374\) | 0.172507 | + | 1.62178i | 0.00892013 | + | 0.0838601i | ||||
\(375\) | −6.37509 | − | 6.10321i | −0.329208 | − | 0.315168i | ||||
\(376\) | −11.1629 | − | 33.9221i | −0.575681 | − | 1.74940i | ||||
\(377\) | 1.62996 | − | 1.62996i | 0.0839472 | − | 0.0839472i | ||||
\(378\) | −3.77167 | + | 4.66955i | −0.193994 | + | 0.240176i | ||||
\(379\) | − | 16.0207i | − | 0.822930i | −0.911425 | − | 0.411465i | \(-0.865017\pi\) | ||
0.911425 | − | 0.411465i | \(-0.134983\pi\) | |||||||
\(380\) | 14.4583 | − | 3.22106i | 0.741696 | − | 0.165237i | ||||
\(381\) | 5.74814i | 0.294486i | ||||||||
\(382\) | −16.4348 | − | 13.2747i | −0.840879 | − | 0.679190i | ||||
\(383\) | 18.6863 | − | 18.6863i | 0.954827 | − | 0.954827i | −0.0441960 | − | 0.999023i | \(-0.514073\pi\) |
0.999023 | + | 0.0441960i | \(0.0140726\pi\) | |||||||
\(384\) | −6.03380 | − | 6.58435i | −0.307911 | − | 0.336006i | ||||
\(385\) | −0.529545 | − | 0.521910i | −0.0269881 | − | 0.0265990i | ||||
\(386\) | −22.4470 | + | 2.38767i | −1.14252 | + | 0.121529i | ||||
\(387\) | 9.52210 | − | 9.52210i | 0.484035 | − | 0.484035i | ||||
\(388\) | 12.2301 | + | 7.89890i | 0.620890 | + | 0.401006i | ||||
\(389\) | 3.87501 | 0.196471 | 0.0982355 | − | 0.995163i | \(-0.468680\pi\) | ||||
0.0982355 | + | 0.995163i | \(0.468680\pi\) | |||||||
\(390\) | 0.756328 | − | 0.950417i | 0.0382981 | − | 0.0481262i | ||||
\(391\) | 18.0323i | 0.911931i | ||||||||
\(392\) | 1.27461 | − | 2.52495i | 0.0643777 | − | 0.127529i | ||||
\(393\) | 1.34561 | + | 1.34561i | 0.0678769 | + | 0.0678769i | ||||
\(394\) | −31.6920 | + | 3.37105i | −1.59662 | + | 0.169831i | ||||
\(395\) | −21.8496 | + | 0.158668i | −1.09937 | + | 0.00798347i | ||||
\(396\) | 1.54529 | − | 0.332504i | 0.0776537 | − | 0.0167090i | ||||
\(397\) | −25.0494 | − | 25.0494i | −1.25720 | − | 1.25720i | −0.952426 | − | 0.304769i | \(-0.901421\pi\) |
−0.304769 | − | 0.952426i | \(-0.598579\pi\) | |||||||
\(398\) | 0.985917 | − | 1.22063i | 0.0494196 | − | 0.0611844i | ||||
\(399\) | 2.61463 | 0.130895 | ||||||||
\(400\) | −18.1086 | + | 8.48993i | −0.905429 | + | 0.424497i | ||||
\(401\) | −27.4614 | −1.37136 | −0.685679 | − | 0.727904i | \(-0.740494\pi\) | ||||
−0.685679 | + | 0.727904i | \(0.740494\pi\) | |||||||
\(402\) | 5.60583 | − | 6.94036i | 0.279594 | − | 0.346154i | ||||
\(403\) | 2.18267 | + | 2.18267i | 0.108727 | + | 0.108727i | ||||
\(404\) | −19.0658 | + | 4.10245i | −0.948561 | + | 0.204105i | ||||
\(405\) | −8.45243 | + | 0.0613803i | −0.420004 | + | 0.00305001i | ||||
\(406\) | −6.66206 | + | 0.708637i | −0.330633 | + | 0.0351691i | ||||
\(407\) | −1.29862 | − | 1.29862i | −0.0643701 | − | 0.0643701i | ||||
\(408\) | 6.91287 | + | 3.48967i | 0.342238 | + | 0.172764i | ||||
\(409\) | − | 23.7218i | − | 1.17297i | −0.809960 | − | 0.586485i | \(-0.800511\pi\) | ||
0.809960 | − | 0.586485i | \(-0.199489\pi\) | |||||||
\(410\) | 23.1846 | − | 29.1342i | 1.14501 | − | 1.43884i | ||||
\(411\) | −1.86725 | −0.0921045 | ||||||||
\(412\) | 7.68361 | + | 4.96251i | 0.378544 | + | 0.244485i | ||||
\(413\) | 0.943433 | − | 0.943433i | 0.0464233 | − | 0.0464233i | ||||
\(414\) | 17.3784 | − | 1.84853i | 0.854104 | − | 0.0908502i | ||||
\(415\) | −17.0033 | − | 16.7581i | −0.834659 | − | 0.822624i | ||||
\(416\) | −1.39114 | − | 2.37510i | −0.0682063 | − | 0.116449i | ||||
\(417\) | 2.21674 | − | 2.21674i | 0.108554 | − | 0.108554i | ||||
\(418\) | −1.21166 | − | 0.978675i | −0.0592642 | − | 0.0478685i | ||||
\(419\) | − | 27.5451i | − | 1.34567i | −0.739794 | − | 0.672833i | \(-0.765077\pi\) | ||
0.739794 | − | 0.672833i | \(-0.234923\pi\) | |||||||
\(420\) | −3.44576 | + | 0.767656i | −0.168136 | + | 0.0374578i | ||||
\(421\) | 27.7410i | 1.35201i | 0.736896 | + | 0.676007i | \(0.236291\pi\) | ||||
−0.736896 | + | 0.676007i | \(0.763709\pi\) | |||||||
\(422\) | 3.25474 | − | 4.02956i | 0.158438 | − | 0.196156i | ||||
\(423\) | 21.2205 | − | 21.2205i | 1.03177 | − | 1.03177i | ||||
\(424\) | 24.0132 | − | 7.90213i | 1.16619 | − | 0.383761i | ||||
\(425\) | 12.0829 | − | 12.4391i | 0.586109 | − | 0.603385i | ||||
\(426\) | 1.64410 | + | 15.4566i | 0.0796569 | + | 0.748873i | ||||
\(427\) | −3.33215 | + | 3.33215i | −0.161254 | + | 0.161254i | ||||
\(428\) | −6.73473 | − | 4.34967i | −0.325535 | − | 0.210249i | ||||
\(429\) | −0.127716 | −0.00616619 | ||||||||
\(430\) | 17.8013 | − | 2.02434i | 0.858455 | − | 0.0976224i | ||||
\(431\) | − | 10.8523i | − | 0.522737i | −0.965239 | − | 0.261369i | \(-0.915826\pi\) | ||
0.965239 | − | 0.261369i | \(-0.0841738\pi\) | |||||||
\(432\) | 6.00487 | − | 15.8803i | 0.288910 | − | 0.764040i | ||||
\(433\) | −12.1968 | − | 12.1968i | −0.586141 | − | 0.586141i | 0.350443 | − | 0.936584i | \(-0.386031\pi\) |
−0.936584 | + | 0.350443i | \(0.886031\pi\) | |||||||
\(434\) | −0.948932 | − | 8.92113i | −0.0455502 | − | 0.428228i | ||||
\(435\) | 5.95561 | + | 5.86973i | 0.285550 | + | 0.281432i | ||||
\(436\) | 3.08915 | + | 14.3566i | 0.147944 | + | 0.687557i | ||||
\(437\) | −12.1770 | − | 12.1770i | −0.582504 | − | 0.582504i | ||||
\(438\) | −3.45373 | − | 2.78963i | −0.165026 | − | 0.133294i | ||||
\(439\) | 1.54041 | 0.0735198 | 0.0367599 | − | 0.999324i | \(-0.488296\pi\) | ||||
0.0367599 | + | 0.999324i | \(0.488296\pi\) | |||||||
\(440\) | 1.88416 | + | 0.934030i | 0.0898237 | + | 0.0445281i | ||||
\(441\) | 2.37687 | 0.113184 | ||||||||
\(442\) | 1.85665 | + | 1.49964i | 0.0883117 | + | 0.0713307i | ||||
\(443\) | −25.8026 | − | 25.8026i | −1.22592 | − | 1.22592i | −0.965494 | − | 0.260425i | \(-0.916137\pi\) |
−0.260425 | − | 0.965494i | \(-0.583863\pi\) | |||||||
\(444\) | −8.52481 | + | 1.83431i | −0.404569 | + | 0.0870523i | ||||
\(445\) | −0.0528129 | − | 7.27264i | −0.00250357 | − | 0.344756i | ||||
\(446\) | −0.759370 | − | 7.13901i | −0.0359572 | − | 0.338042i | ||||
\(447\) | −13.2193 | − | 13.2193i | −0.625254 | − | 0.625254i | ||||
\(448\) | −1.19214 | + | 7.91068i | −0.0563232 | + | 0.373744i | ||||
\(449\) | 20.0509i | 0.946259i | 0.880993 | + | 0.473129i | \(0.156876\pi\) | ||||
−0.880993 | + | 0.473129i | \(0.843124\pi\) | |||||||
\(450\) | −13.2267 | − | 10.3697i | −0.623514 | − | 0.488830i | ||||
\(451\) | −3.91503 | −0.184352 | ||||||||
\(452\) | −8.51180 | + | 13.1791i | −0.400362 | + | 0.619892i | ||||
\(453\) | −2.60851 | + | 2.60851i | −0.122559 | + | 0.122559i | ||||
\(454\) | −3.29354 | − | 30.9634i | −0.154574 | − | 1.45318i | ||||
\(455\) | −1.08800 | + | 0.00790090i | −0.0510062 | + | 0.000370400i | ||||
\(456\) | −7.02471 | + | 2.31165i | −0.328962 | + | 0.108253i | ||||
\(457\) | 20.8010 | − | 20.8010i | 0.973030 | − | 0.973030i | −0.0266161 | − | 0.999646i | \(-0.508473\pi\) |
0.999646 | + | 0.0266161i | \(0.00847317\pi\) | |||||||
\(458\) | −9.03399 | + | 11.1846i | −0.422130 | + | 0.522623i | ||||
\(459\) | 14.7209i | 0.687115i | ||||||||
\(460\) | 19.6229 | + | 12.4726i | 0.914923 | + | 0.581538i | ||||
\(461\) | 7.28498i | 0.339295i | 0.985505 | + | 0.169648i | \(0.0542630\pi\) | ||||
−0.985505 | + | 0.169648i | \(0.945737\pi\) | |||||||
\(462\) | 0.288767 | + | 0.233241i | 0.0134347 | + | 0.0108514i | ||||
\(463\) | 1.15056 | − | 1.15056i | 0.0534708 | − | 0.0534708i | −0.679866 | − | 0.733337i | \(-0.737962\pi\) |
0.733337 | + | 0.679866i | \(0.237962\pi\) | |||||||
\(464\) | 17.2724 | − | 7.79396i | 0.801851 | − | 0.361825i | ||||
\(465\) | −7.86013 | + | 7.97512i | −0.364505 | + | 0.369837i | ||||
\(466\) | 33.2104 | − | 3.53256i | 1.53844 | − | 0.163642i | ||||
\(467\) | −26.4814 | + | 26.4814i | −1.22541 | + | 1.22541i | −0.259731 | + | 0.965681i | \(0.583634\pi\) |
−0.965681 | + | 0.259731i | \(0.916366\pi\) | |||||||
\(468\) | 1.25494 | − | 1.94306i | 0.0580095 | − | 0.0898180i | ||||
\(469\) | −7.99165 | −0.369020 | ||||||||
\(470\) | 39.6711 | − | 4.51135i | 1.82989 | − | 0.208093i | ||||
\(471\) | 12.1833i | 0.561376i | ||||||||
\(472\) | −1.70061 | + | 3.36883i | −0.0782769 | + | 0.155063i | ||||
\(473\) | −1.33208 | − | 1.33208i | −0.0612489 | − | 0.0612489i | ||||
\(474\) | 10.8475 | − | 1.15384i | 0.498242 | − | 0.0529975i | ||||
\(475\) | 0.240517 | + | 16.5594i | 0.0110357 | + | 0.759799i | ||||
\(476\) | −1.45917 | − | 6.78140i | −0.0668811 | − | 0.310825i | ||||
\(477\) | 15.0218 | + | 15.0218i | 0.687803 | + | 0.687803i | ||||
\(478\) | −24.2045 | + | 29.9666i | −1.10709 | + | 1.37064i | ||||
\(479\) | 24.2775 | 1.10927 | 0.554633 | − | 0.832095i | \(-0.312859\pi\) | ||||
0.554633 | + | 0.832095i | \(0.312859\pi\) | |||||||
\(480\) | 8.57900 | − | 5.10892i | 0.391576 | − | 0.233189i | ||||
\(481\) | −2.68750 | −0.122540 | ||||||||
\(482\) | −17.0016 | + | 21.0491i | −0.774403 | + | 0.958758i | ||||
\(483\) | 2.90206 | + | 2.90206i | 0.132048 | + | 0.132048i | ||||
\(484\) | 4.58136 | + | 21.2916i | 0.208244 | + | 0.967798i | ||||
\(485\) | −11.4261 | + | 11.5933i | −0.518833 | + | 0.526424i | ||||
\(486\) | 22.1028 | − | 2.35106i | 1.00261 | − | 0.106646i | ||||
\(487\) | 0.755598 | + | 0.755598i | 0.0342394 | + | 0.0342394i | 0.724019 | − | 0.689780i | \(-0.242293\pi\) |
−0.689780 | + | 0.724019i | \(0.742293\pi\) | |||||||
\(488\) | 6.00645 | − | 11.8985i | 0.271899 | − | 0.538620i | ||||
\(489\) | − | 6.47618i | − | 0.292863i | ||||||
\(490\) | 2.47440 | + | 1.96909i | 0.111782 | + | 0.0889546i | ||||
\(491\) | −41.6441 | −1.87937 | −0.939685 | − | 0.342040i | \(-0.888882\pi\) | ||||
−0.939685 | + | 0.342040i | \(0.888882\pi\) | |||||||
\(492\) | −10.0852 | + | 15.6152i | −0.454674 | + | 0.703986i | ||||
\(493\) | −11.6182 | + | 11.6182i | −0.523258 | + | 0.523258i | ||||
\(494\) | −2.26646 | + | 0.241081i | −0.101973 | + | 0.0108468i | ||||
\(495\) | 0.0128330 | + | 1.76718i | 0.000576802 | + | 0.0794289i | ||||
\(496\) | 10.4368 | + | 23.1294i | 0.468628 | + | 1.03854i | ||||
\(497\) | 9.84550 | − | 9.84550i | 0.441631 | − | 0.441631i | ||||
\(498\) | 9.27209 | + | 7.48921i | 0.415492 | + | 0.335599i | ||||
\(499\) | 32.9178i | 1.47360i | 0.676109 | + | 0.736802i | \(0.263665\pi\) | ||||
−0.676109 | + | 0.736802i | \(0.736335\pi\) | |||||||
\(500\) | −5.17883 | − | 21.7527i | −0.231604 | − | 0.972810i | ||||
\(501\) | − | 5.24635i | − | 0.234389i | ||||||
\(502\) | 23.9719 | − | 29.6786i | 1.06992 | − | 1.32462i | ||||
\(503\) | −10.7907 | + | 10.7907i | −0.481134 | + | 0.481134i | −0.905494 | − | 0.424360i | \(-0.860499\pi\) |
0.424360 | + | 0.905494i | \(0.360499\pi\) | |||||||
\(504\) | −6.38593 | + | 2.10144i | −0.284452 | + | 0.0936056i | ||||
\(505\) | −0.158334 | − | 21.8036i | −0.00704579 | − | 0.970246i | ||||
\(506\) | −0.258596 | − | 2.43112i | −0.0114960 | − | 0.108077i | ||||
\(507\) | 7.12417 | − | 7.12417i | 0.316396 | − | 0.316396i | ||||
\(508\) | −7.90133 | + | 12.2339i | −0.350565 | + | 0.542790i | ||||
\(509\) | 20.6456 | 0.915102 | 0.457551 | − | 0.889183i | \(-0.348727\pi\) | ||||
0.457551 | + | 0.889183i | \(0.348727\pi\) | |||||||
\(510\) | −5.39104 | + | 6.77449i | −0.238719 | + | 0.299979i | ||||
\(511\) | 3.97688i | 0.175927i | ||||||||
\(512\) | −3.79108 | − | 22.3076i | −0.167544 | − | 0.985865i | ||||
\(513\) | −9.94087 | − | 9.94087i | −0.438900 | − | 0.438900i | ||||
\(514\) | 2.39547 | + | 22.5204i | 0.105660 | + | 0.993330i | ||||
\(515\) | −7.17850 | + | 7.28352i | −0.316323 | + | 0.320950i | ||||
\(516\) | −8.74444 | + | 1.88157i | −0.384953 | + | 0.0828313i | ||||
\(517\) | −2.96860 | − | 2.96860i | −0.130559 | − | 0.130559i | ||||
\(518\) | 6.07647 | + | 4.90805i | 0.266985 | + | 0.215647i | ||||
\(519\) | 13.0622 | 0.573369 | ||||||||
\(520\) | 2.91614 | − | 0.983150i | 0.127881 | − | 0.0431140i | ||||
\(521\) | 14.4180 | 0.631666 | 0.315833 | − | 0.948815i | \(-0.397716\pi\) | ||||
0.315833 | + | 0.948815i | \(0.397716\pi\) | |||||||
\(522\) | 12.3880 | + | 10.0059i | 0.542206 | + | 0.437948i | ||||
\(523\) | 8.28643 | + | 8.28643i | 0.362340 | + | 0.362340i | 0.864674 | − | 0.502334i | \(-0.167525\pi\) |
−0.502334 | + | 0.864674i | \(0.667525\pi\) | |||||||
\(524\) | 1.01422 | + | 4.71353i | 0.0443066 | + | 0.205912i | ||||
\(525\) | −0.0573209 | − | 3.94651i | −0.00250169 | − | 0.172240i | ||||
\(526\) | −2.63480 | − | 24.7703i | −0.114883 | − | 1.08004i | ||||
\(527\) | −15.5579 | − | 15.5579i | −0.677712 | − | 0.677712i | ||||
\(528\) | −0.982042 | − | 0.371344i | −0.0427379 | − | 0.0161607i | ||||
\(529\) | − | 4.03124i | − | 0.175271i | ||||||
\(530\) | 3.19356 | + | 28.0829i | 0.138719 | + | 1.21984i | ||||
\(531\) | −3.17126 | −0.137621 | ||||||||
\(532\) | 5.56476 | + | 3.59404i | 0.241263 | + | 0.155821i | ||||
\(533\) | −4.05110 | + | 4.05110i | −0.175473 | + | 0.175473i | ||||
\(534\) | 0.384056 | + | 3.61060i | 0.0166197 | + | 0.156246i | ||||
\(535\) | 6.29199 | − | 6.38405i | 0.272027 | − | 0.276006i | ||||
\(536\) | 21.4711 | − | 7.06558i | 0.927412 | − | 0.305187i | ||||
\(537\) | −8.76771 | + | 8.76771i | −0.378354 | + | 0.378354i | ||||
\(538\) | −13.9540 | + | 17.2759i | −0.601600 | + | 0.744817i | ||||
\(539\) | − | 0.332508i | − | 0.0143221i | ||||||
\(540\) | 16.0195 | + | 10.1822i | 0.689370 | + | 0.438173i | ||||
\(541\) | − | 9.33609i | − | 0.401390i | −0.979654 | − | 0.200695i | \(-0.935680\pi\) | ||
0.979654 | − | 0.200695i | \(-0.0643200\pi\) | |||||||
\(542\) | 6.30186 | + | 5.09011i | 0.270688 | + | 0.218639i | ||||
\(543\) | 9.20708 | − | 9.20708i | 0.395114 | − | 0.395114i | ||||
\(544\) | 9.91593 | + | 16.9295i | 0.425142 | + | 0.725845i | ||||
\(545\) | −16.4181 | + | 0.119226i | −0.703276 | + | 0.00510709i | ||||
\(546\) | 0.540151 | − | 0.0574554i | 0.0231163 | − | 0.00245887i | ||||
\(547\) | −13.4893 | + | 13.4893i | −0.576759 | + | 0.576759i | −0.934009 | − | 0.357250i | \(-0.883714\pi\) |
0.357250 | + | 0.934009i | \(0.383714\pi\) | |||||||
\(548\) | −3.97409 | − | 2.56669i | −0.169765 | − | 0.109644i | ||||
\(549\) | 11.2007 | 0.478035 | ||||||||
\(550\) | −1.45064 | + | 1.85033i | −0.0618556 | + | 0.0788982i | ||||
\(551\) | − | 15.6913i | − | 0.668470i | ||||||
\(552\) | −10.3627 | − | 5.23118i | −0.441067 | − | 0.222654i | ||||
\(553\) | −6.90962 | − | 6.90962i | −0.293827 | − | 0.293827i | ||||
\(554\) | −41.0082 | + | 4.36200i | −1.74227 | + | 0.185324i | ||||
\(555\) | −0.0707952 | − | 9.74891i | −0.00300509 | − | 0.413818i | ||||
\(556\) | 7.76502 | − | 1.67082i | 0.329310 | − | 0.0708586i | ||||
\(557\) | 7.32124 | + | 7.32124i | 0.310211 | + | 0.310211i | 0.844991 | − | 0.534780i | \(-0.179606\pi\) |
−0.534780 | + | 0.844991i | \(0.679606\pi\) | |||||||
\(558\) | −13.3989 | + | 16.5886i | −0.567220 | + | 0.702253i | ||||
\(559\) | −2.75675 | −0.116598 | ||||||||
\(560\) | −8.38888 | − | 3.10268i | −0.354495 | − | 0.131112i | ||||
\(561\) | 0.910349 | 0.0384350 | ||||||||
\(562\) | 16.6528 | − | 20.6172i | 0.702455 | − | 0.869682i | ||||
\(563\) | −18.1641 | − | 18.1641i | −0.765528 | − | 0.765528i | 0.211788 | − | 0.977316i | \(-0.432071\pi\) |
−0.977316 | + | 0.211788i | \(0.932071\pi\) | |||||||
\(564\) | −19.4874 | + | 4.19317i | −0.820569 | + | 0.176564i | ||||
\(565\) | −12.4928 | − | 12.3127i | −0.525578 | − | 0.518000i | ||||
\(566\) | 8.33677 | − | 0.886775i | 0.350421 | − | 0.0372739i | ||||
\(567\) | −2.67296 | − | 2.67296i | −0.112254 | − | 0.112254i | ||||
\(568\) | −17.7472 | + | 35.1565i | −0.744658 | + | 1.47513i | ||||
\(569\) | 9.51195i | 0.398762i | 0.979922 | + | 0.199381i | \(0.0638931\pi\) | ||||
−0.979922 | + | 0.199381i | \(0.936107\pi\) | |||||||
\(570\) | −0.934226 | − | 8.21523i | −0.0391304 | − | 0.344098i | ||||
\(571\) | −28.4290 | −1.18972 | −0.594859 | − | 0.803830i | \(-0.702792\pi\) | ||||
−0.594859 | + | 0.803830i | \(0.702792\pi\) | |||||||
\(572\) | −0.271821 | − | 0.175557i | −0.0113654 | − | 0.00734041i | ||||
\(573\) | −8.33838 | + | 8.33838i | −0.348341 | + | 0.348341i | ||||
\(574\) | 16.5579 | − | 1.76125i | 0.691113 | − | 0.0735131i | ||||
\(575\) | −18.1129 | + | 18.6468i | −0.755360 | + | 0.777626i | ||||
\(576\) | 15.2991 | − | 11.2919i | 0.637464 | − | 0.470494i | ||||
\(577\) | −5.69208 | + | 5.69208i | −0.236965 | + | 0.236965i | −0.815592 | − | 0.578627i | \(-0.803589\pi\) |
0.578627 | + | 0.815592i | \(0.303589\pi\) | |||||||
\(578\) | 5.46874 | + | 4.41719i | 0.227470 | + | 0.183731i | ||||
\(579\) | 12.6001i | 0.523644i | ||||||||
\(580\) | 4.60696 | + | 20.6792i | 0.191294 | + | 0.858656i | ||||
\(581\) | − | 10.6766i | − | 0.442939i | ||||||
\(582\) | 5.10633 | − | 6.32194i | 0.211664 | − | 0.262053i | ||||
\(583\) | 2.10145 | − | 2.10145i | 0.0870332 | − | 0.0870332i | ||||
\(584\) | −3.51604 | − | 10.6847i | −0.145495 | − | 0.442135i | ||||
\(585\) | 1.84188 | + | 1.81532i | 0.0761525 | + | 0.0750544i | ||||
\(586\) | −1.20313 | − | 11.3109i | −0.0497008 | − | 0.467248i | ||||
\(587\) | −30.2089 | + | 30.2089i | −1.24685 | + | 1.24685i | −0.289751 | + | 0.957102i | \(0.593572\pi\) |
−0.957102 | + | 0.289751i | \(0.906428\pi\) | |||||||
\(588\) | −1.32621 | − | 0.856544i | −0.0546921 | − | 0.0353233i | ||||
\(589\) | 21.0121 | 0.865788 | ||||||||
\(590\) | −3.30139 | − | 2.62720i | −0.135916 | − | 0.108160i | ||||
\(591\) | 17.7896i | 0.731766i | ||||||||
\(592\) | −20.6649 | − | 7.81411i | −0.849323 | − | 0.321158i | ||||
\(593\) | 17.0546 | + | 17.0546i | 0.700348 | + | 0.700348i | 0.964485 | − | 0.264137i | \(-0.0850871\pi\) |
−0.264137 | + | 0.964485i | \(0.585087\pi\) | |||||||
\(594\) | −0.211109 | − | 1.98469i | −0.00866192 | − | 0.0814327i | ||||
\(595\) | 7.75516 | − | 0.0563169i | 0.317931 | − | 0.00230877i | ||||
\(596\) | −9.96382 | − | 46.3061i | −0.408134 | − | 1.89677i | ||||
\(597\) | −0.619297 | − | 0.619297i | −0.0253461 | − | 0.0253461i | ||||
\(598\) | −2.78320 | − | 2.24804i | −0.113814 | − | 0.0919290i | ||||
\(599\) | 22.5470 | 0.921244 | 0.460622 | − | 0.887596i | \(-0.347626\pi\) | ||||
0.460622 | + | 0.887596i | \(0.347626\pi\) | |||||||
\(600\) | 3.64319 | + | 10.5524i | 0.148733 | + | 0.430799i | ||||
\(601\) | 35.0872 | 1.43124 | 0.715619 | − | 0.698491i | \(-0.246145\pi\) | ||||
0.715619 | + | 0.698491i | \(0.246145\pi\) | |||||||
\(602\) | 6.23302 | + | 5.03450i | 0.254039 | + | 0.205191i | ||||
\(603\) | 13.4316 | + | 13.4316i | 0.546977 | + | 0.546977i | ||||
\(604\) | −9.13737 | + | 1.96611i | −0.371794 | + | 0.0800000i | ||||
\(605\) | −24.3489 | + | 0.176818i | −0.989923 | + | 0.00718868i | ||||
\(606\) | 1.15141 | + | 10.8247i | 0.0467728 | + | 0.439722i | ||||
\(607\) | 2.26137 | + | 2.26137i | 0.0917862 | + | 0.0917862i | 0.751509 | − | 0.659723i | \(-0.229326\pi\) |
−0.659723 | + | 0.751509i | \(0.729326\pi\) | |||||||
\(608\) | −18.1284 | − | 4.73616i | −0.735203 | − | 0.192077i | ||||
\(609\) | 3.73960i | 0.151536i | ||||||||
\(610\) | 11.6603 | + | 9.27911i | 0.472112 | + | 0.375700i | ||||
\(611\) | −6.14355 | −0.248541 | ||||||||
\(612\) | −8.94508 | + | 13.8500i | −0.361584 | + | 0.559851i | ||||
\(613\) | 11.9680 | − | 11.9680i | 0.483382 | − | 0.483382i | −0.422828 | − | 0.906210i | \(-0.638962\pi\) |
0.906210 | + | 0.422828i | \(0.138962\pi\) | |||||||
\(614\) | 0.661543 | + | 6.21932i | 0.0266977 | + | 0.250991i | ||||
\(615\) | −14.8021 | − | 14.5886i | −0.596877 | − | 0.588271i | ||||
\(616\) | 0.293977 | + | 0.893347i | 0.0118447 | + | 0.0359940i | ||||
\(617\) | −0.714640 | + | 0.714640i | −0.0287703 | + | 0.0287703i | −0.721346 | − | 0.692575i | \(-0.756476\pi\) |
0.692575 | + | 0.721346i | \(0.256476\pi\) | |||||||
\(618\) | 3.20807 | − | 3.97179i | 0.129048 | − | 0.159769i | ||||
\(619\) | 47.8163i | 1.92190i | 0.276720 | + | 0.960951i | \(0.410752\pi\) | ||||
−0.276720 | + | 0.960951i | \(0.589248\pi\) | |||||||
\(620\) | −27.6914 | + | 6.16916i | −1.11211 | + | 0.247759i | ||||
\(621\) | − | 22.0674i | − | 0.885534i | ||||||
\(622\) | 2.13934 | + | 1.72797i | 0.0857796 | + | 0.0692855i | ||||
\(623\) | 2.29987 | − | 2.29987i | 0.0921424 | − | 0.0921424i | ||||
\(624\) | −1.40042 | + | 0.631924i | −0.0560619 | + | 0.0252972i | ||||
\(625\) | 24.9895 | − | 0.726071i | 0.999578 | − | 0.0290428i | ||||
\(626\) | 29.7276 | − | 3.16210i | 1.18815 | − | 0.126383i | ||||
\(627\) | −0.614748 | + | 0.614748i | −0.0245507 | + | 0.0245507i | ||||
\(628\) | −16.7470 | + | 25.9299i | −0.668278 | + | 1.03472i | ||||
\(629\) | 19.1563 | 0.763812 | ||||||||
\(630\) | −0.849274 | − | 7.46820i | −0.0338359 | − | 0.297540i | ||||
\(631\) | 23.5322i | 0.936803i | 0.883516 | + | 0.468402i | \(0.155170\pi\) | ||||
−0.883516 | + | 0.468402i | \(0.844830\pi\) | |||||||
\(632\) | 24.6730 | + | 12.4551i | 0.981438 | + | 0.495437i | ||||
\(633\) | −2.04444 | − | 2.04444i | −0.0812592 | − | 0.0812592i | ||||
\(634\) | 28.5060 | − | 3.03216i | 1.13212 | − | 0.120422i | ||||
\(635\) | −11.5968 | − | 11.4296i | −0.460207 | − | 0.453571i | ||||
\(636\) | −2.96832 | − | 13.7950i | −0.117701 | − | 0.547009i | ||||
\(637\) | −0.344065 | − | 0.344065i | −0.0136323 | − | 0.0136323i | ||||
\(638\) | 1.39976 | − | 1.73299i | 0.0554171 | − | 0.0686097i | ||||
\(639\) | −33.0947 | −1.30921 | ||||||||
\(640\) | 25.2815 | + | 0.919186i | 0.999340 | + | 0.0363340i | ||||
\(641\) | 8.07010 | 0.318750 | 0.159375 | − | 0.987218i | \(-0.449052\pi\) | ||||
0.159375 | + | 0.987218i | \(0.449052\pi\) | |||||||
\(642\) | −2.81189 | + | 3.48129i | −0.110977 | + | 0.137396i | ||||
\(643\) | −17.8241 | − | 17.8241i | −0.702913 | − | 0.702913i | 0.262122 | − | 0.965035i | \(-0.415578\pi\) |
−0.965035 | + | 0.262122i | \(0.915578\pi\) | |||||||
\(644\) | 2.18737 | + | 10.1656i | 0.0861945 | + | 0.400583i | ||||
\(645\) | −0.0726192 | − | 10.0001i | −0.00285938 | − | 0.393753i | ||||
\(646\) | 16.1551 | − | 1.71841i | 0.635615 | − | 0.0676098i | ||||
\(647\) | −12.2092 | − | 12.2092i | −0.479992 | − | 0.479992i | 0.425137 | − | 0.905129i | \(-0.360226\pi\) |
−0.905129 | + | 0.425137i | \(0.860226\pi\) | |||||||
\(648\) | 9.54466 | + | 4.81821i | 0.374949 | + | 0.189277i | ||||
\(649\) | 0.443637i | 0.0174143i | ||||||||
\(650\) | 0.413575 | + | 3.41570i | 0.0162218 | + | 0.133975i | ||||
\(651\) | −5.00768 | −0.196266 | ||||||||
\(652\) | 8.90209 | − | 13.7834i | 0.348633 | − | 0.539799i | ||||
\(653\) | −6.12420 | + | 6.12420i | −0.239659 | + | 0.239659i | −0.816709 | − | 0.577050i | \(-0.804204\pi\) |
0.577050 | + | 0.816709i | \(0.304204\pi\) | |||||||
\(654\) | 8.15099 | − | 0.867014i | 0.318729 | − | 0.0339029i | ||||
\(655\) | −5.39037 | + | 0.0391441i | −0.210619 | + | 0.00152949i | ||||
\(656\) | −42.9288 | + | 19.3711i | −1.67609 | + | 0.756315i | ||||
\(657\) | 6.68396 | − | 6.68396i | 0.260766 | − | 0.260766i | ||||
\(658\) | 13.8906 | + | 11.2197i | 0.541512 | + | 0.437388i | ||||
\(659\) | − | 17.1578i | − | 0.668373i | −0.942507 | − | 0.334187i | \(-0.891538\pi\) | ||
0.942507 | − | 0.334187i | \(-0.108462\pi\) | |||||||
\(660\) | 0.629672 | − | 0.990652i | 0.0245099 | − | 0.0385611i | ||||
\(661\) | 40.9486i | 1.59272i | 0.604825 | + | 0.796358i | \(0.293243\pi\) | ||||
−0.604825 | + | 0.796358i | \(0.706757\pi\) | |||||||
\(662\) | −5.50702 | + | 6.81802i | −0.214036 | + | 0.264990i | ||||
\(663\) | 0.941990 | − | 0.941990i | 0.0365838 | − | 0.0365838i | ||||
\(664\) | 9.43939 | + | 28.6847i | 0.366319 | + | 1.11318i | ||||
\(665\) | −5.19894 | + | 5.27500i | −0.201606 | + | 0.204556i | ||||
\(666\) | −1.96376 | − | 18.4617i | −0.0760940 | − | 0.715377i | ||||
\(667\) | 17.4163 | − | 17.4163i | 0.674360 | − | 0.674360i | ||||
\(668\) | 7.21156 | − | 11.1659i | 0.279024 | − | 0.432021i | ||||
\(669\) | −4.00732 | −0.154932 | ||||||||
\(670\) | 2.85548 | + | 25.1100i | 0.110317 | + | 0.970084i | ||||
\(671\) | − | 1.56690i | − | 0.0604896i | ||||||
\(672\) | 4.32042 | + | 1.12874i | 0.166664 | + | 0.0435421i | ||||
\(673\) | −1.45903 | − | 1.45903i | −0.0562415 | − | 0.0562415i | 0.678427 | − | 0.734668i | \(-0.262662\pi\) |
−0.734668 | + | 0.678427i | \(0.762662\pi\) | |||||||
\(674\) | 1.74601 | + | 16.4146i | 0.0672537 | + | 0.632267i | ||||
\(675\) | −14.7868 | + | 15.2226i | −0.569143 | + | 0.585920i | ||||
\(676\) | 24.9553 | − | 5.36970i | 0.959820 | − | 0.206527i | ||||
\(677\) | −2.30325 | − | 2.30325i | −0.0885211 | − | 0.0885211i | 0.661460 | − | 0.749981i | \(-0.269937\pi\) |
−0.749981 | + | 0.661460i | \(0.769937\pi\) | |||||||
\(678\) | 6.81249 | + | 5.50255i | 0.261632 | + | 0.211324i | ||||
\(679\) | −7.27956 | −0.279364 | ||||||||
\(680\) | −20.7860 | + | 7.00781i | −0.797106 | + | 0.268737i | ||||
\(681\) | −17.3806 | −0.666026 | ||||||||
\(682\) | 2.32063 | + | 1.87441i | 0.0888617 | + | 0.0717749i | ||||
\(683\) | 4.63398 | + | 4.63398i | 0.177314 | + | 0.177314i | 0.790184 | − | 0.612870i | \(-0.209985\pi\) |
−0.612870 | + | 0.790184i | \(0.709985\pi\) | |||||||
\(684\) | −3.31220 | − | 15.3932i | −0.126645 | − | 0.588574i | ||||
\(685\) | 3.71284 | − | 3.76716i | 0.141860 | − | 0.143936i | ||||
\(686\) | 0.149585 | + | 1.40628i | 0.00571117 | + | 0.0536920i | ||||
\(687\) | 5.67463 | + | 5.67463i | 0.216501 | + | 0.216501i | ||||
\(688\) | −21.1973 | − | 8.01544i | −0.808141 | − | 0.305586i | ||||
\(689\) | − | 4.34898i | − | 0.165683i | ||||||
\(690\) | 8.08142 | − | 10.1553i | 0.307655 | − | 0.386605i | ||||
\(691\) | 43.6704 | 1.66130 | 0.830650 | − | 0.556794i | \(-0.187969\pi\) | ||||
0.830650 | + | 0.556794i | \(0.187969\pi\) | |||||||
\(692\) | 27.8006 | + | 17.9552i | 1.05682 | + | 0.682554i | ||||
\(693\) | −0.558847 | + | 0.558847i | −0.0212288 | + | 0.0212288i | ||||
\(694\) | −1.74633 | − | 16.4176i | −0.0662898 | − | 0.623205i | ||||
\(695\) | 0.0644855 | + | 8.88002i | 0.00244607 | + | 0.336838i | ||||
\(696\) | −3.30626 | − | 10.0472i | −0.125323 | − | 0.380837i | ||||
\(697\) | 28.8759 | − | 28.8759i | 1.09375 | − | 1.09375i | ||||
\(698\) | 14.9987 | − | 18.5693i | 0.567709 | − | 0.702858i | ||||
\(699\) | − | 18.6419i | − | 0.705101i | ||||||
\(700\) | 5.30282 | − | 8.47821i | 0.200428 | − | 0.320446i | ||||
\(701\) | − | 9.46429i | − | 0.357461i | −0.983898 | − | 0.178731i | \(-0.942801\pi\) | ||
0.983898 | − | 0.178731i | \(-0.0571991\pi\) | |||||||
\(702\) | −2.27212 | − | 1.83522i | −0.0857555 | − | 0.0692660i | ||||
\(703\) | −12.9360 | + | 12.9360i | −0.487891 | + | 0.487891i | ||||
\(704\) | −1.57965 | − | 2.14024i | −0.0595354 | − | 0.0806634i | ||||
\(705\) | −0.161836 | − | 22.2857i | −0.00609508 | − | 0.839328i | ||||
\(706\) | −6.16255 | + | 0.655505i | −0.231931 | + | 0.0246703i | ||||
\(707\) | 6.89508 | − | 6.89508i | 0.259316 | − | 0.259316i | ||||
\(708\) | 1.76946 | + | 1.14281i | 0.0665002 | + | 0.0429496i | ||||
\(709\) | 21.0235 | 0.789554 | 0.394777 | − | 0.918777i | \(-0.370822\pi\) | ||||
0.394777 | + | 0.918777i | \(0.370822\pi\) | |||||||
\(710\) | −34.4527 | − | 27.4169i | −1.29299 | − | 1.02894i | ||||
\(711\) | 23.2260i | 0.871044i | ||||||||
\(712\) | −4.14569 | + | 8.21242i | −0.155366 | + | 0.307773i | ||||
\(713\) | 23.3220 | + | 23.3220i | 0.873416 | + | 0.873416i | ||||
\(714\) | −3.85015 | + | 0.409537i | −0.144088 | + | 0.0153265i | ||||
\(715\) | 0.253951 | − | 0.257667i | 0.00949724 | − | 0.00963618i | ||||
\(716\) | −30.7125 | + | 6.60848i | −1.14778 | + | 0.246971i | ||||
\(717\) | 15.2039 | + | 15.2039i | 0.567799 | + | 0.567799i | ||||
\(718\) | −18.7045 | + | 23.1573i | −0.698046 | + | 0.864223i | ||||
\(719\) | 32.4326 | 1.20953 | 0.604766 | − | 0.796403i | \(-0.293267\pi\) | ||||
0.604766 | + | 0.796403i | \(0.293267\pi\) | |||||||
\(720\) | 8.88453 | + | 19.3139i | 0.331107 | + | 0.719787i | ||||
\(721\) | −4.57341 | −0.170323 | ||||||||
\(722\) | 7.13479 | − | 8.83331i | 0.265530 | − | 0.328742i | ||||
\(723\) | 10.6795 | + | 10.6795i | 0.397173 | + | 0.397173i | ||||
\(724\) | 32.2516 | − | 6.93965i | 1.19862 | − | 0.257910i | ||||
\(725\) | −23.6843 | + | 0.344002i | −0.879613 | + | 0.0127759i | ||||
\(726\) | 12.0883 | − | 1.28582i | 0.448640 | − | 0.0477214i | ||||
\(727\) | −6.58358 | − | 6.58358i | −0.244171 | − | 0.244171i | 0.574402 | − | 0.818573i | \(-0.305235\pi\) |
−0.818573 | + | 0.574402i | \(0.805235\pi\) | |||||||
\(728\) | 1.22859 | + | 0.620202i | 0.0455346 | + | 0.0229862i | ||||
\(729\) | − | 1.06652i | − | 0.0395008i | ||||||
\(730\) | 12.4955 | − | 1.42097i | 0.462478 | − | 0.0525925i | ||||
\(731\) | 19.6498 | 0.726776 | ||||||||
\(732\) | −6.24962 | − | 4.03636i | −0.230993 | − | 0.149188i | ||||
\(733\) | −3.76794 | + | 3.76794i | −0.139172 | + | 0.139172i | −0.773261 | − | 0.634088i | \(-0.781376\pi\) |
0.634088 | + | 0.773261i | \(0.281376\pi\) | |||||||
\(734\) | 51.3910 | − | 5.46641i | 1.89688 | − | 0.201769i | ||||
\(735\) | 1.23903 | − | 1.25716i | 0.0457023 | − | 0.0463709i | ||||
\(736\) | −14.8645 | − | 25.3781i | −0.547911 | − | 0.935449i | ||||
\(737\) | 1.87899 | − | 1.87899i | 0.0692134 | − | 0.0692134i | ||||
\(738\) | −30.7890 | − | 24.8688i | −1.13336 | − | 0.915431i | ||||
\(739\) | − | 35.2066i | − | 1.29510i | −0.762025 | − | 0.647548i | \(-0.775795\pi\) | ||
0.762025 | − | 0.647548i | \(-0.224205\pi\) | |||||||
\(740\) | 13.2501 | − | 20.8461i | 0.487082 | − | 0.766318i | ||||
\(741\) | 1.27223i | 0.0467365i | ||||||||
\(742\) | −7.94232 | + | 9.83308i | −0.291572 | + | 0.360984i | ||||
\(743\) | −25.6824 | + | 25.6824i | −0.942197 | + | 0.942197i | −0.998418 | − | 0.0562215i | \(-0.982095\pi\) |
0.0562215 | + | 0.998418i | \(0.482095\pi\) | |||||||
\(744\) | 13.4541 | − | 4.42739i | 0.493251 | − | 0.162316i | ||||
\(745\) | 52.9554 | − | 0.384554i | 1.94013 | − | 0.0140890i | ||||
\(746\) | −3.35632 | − | 31.5535i | −0.122884 | − | 1.15526i | ||||
\(747\) | −17.9442 | + | 17.9442i | −0.656543 | + | 0.656543i | ||||
\(748\) | 1.93751 | + | 1.25136i | 0.0708425 | + | 0.0457541i | ||||
\(749\) | 4.00862 | 0.146472 | ||||||||
\(750\) | −12.3795 | + | 1.59022i | −0.452037 | + | 0.0580666i | ||||
\(751\) | − | 40.4685i | − | 1.47672i | −0.674409 | − | 0.738358i | \(-0.735602\pi\) | ||
0.674409 | − | 0.738358i | \(-0.264398\pi\) | |||||||
\(752\) | −47.2394 | − | 17.8628i | −1.72264 | − | 0.651390i | ||||
\(753\) | −15.0578 | − | 15.0578i | −0.548736 | − | 0.548736i | ||||
\(754\) | −0.344810 | − | 3.24163i | −0.0125572 | − | 0.118053i | ||||
\(755\) | −0.0758823 | − | 10.4494i | −0.00276164 | − | 0.380294i | ||||
\(756\) | 1.78570 | + | 8.29889i | 0.0649451 | + | 0.301828i | ||||
\(757\) | 17.7325 | + | 17.7325i | 0.644498 | + | 0.644498i | 0.951658 | − | 0.307160i | \(-0.0993787\pi\) |
−0.307160 | + | 0.951658i | \(0.599379\pi\) | |||||||
\(758\) | −17.6254 | − | 14.2363i | −0.640184 | − | 0.517086i | ||||
\(759\) | −1.36466 | −0.0495339 | ||||||||
\(760\) | 9.30423 | − | 18.7688i | 0.337500 | − | 0.680816i | ||||
\(761\) | 0.648081 | 0.0234929 | 0.0117465 | − | 0.999931i | \(-0.496261\pi\) | ||||
0.0117465 | + | 0.999931i | \(0.496261\pi\) | |||||||
\(762\) | 6.32389 | + | 5.10790i | 0.229090 | + | 0.185040i | ||||
\(763\) | −5.19201 | − | 5.19201i | −0.187963 | − | 0.187963i | ||||
\(764\) | −29.2086 | + | 6.28488i | −1.05673 | + | 0.227379i | ||||
\(765\) | −13.1288 | − | 12.9395i | −0.474672 | − | 0.467828i | ||||
\(766\) | −3.95300 | − | 37.1630i | −0.142828 | − | 1.34275i | ||||
\(767\) | 0.459057 | + | 0.459057i | 0.0165756 | + | 0.0165756i | ||||
\(768\) | −12.6056 | + | 0.787193i | −0.454865 | + | 0.0284054i | ||||
\(769\) | − | 4.54580i | − | 0.163926i | −0.996635 | − | 0.0819628i | \(-0.973881\pi\) | ||
0.996635 | − | 0.0819628i | \(-0.0261189\pi\) | |||||||
\(770\) | −1.04475 | + | 0.118808i | −0.0376501 | + | 0.00428153i | ||||
\(771\) | 12.6413 | 0.455265 | ||||||||
\(772\) | −17.3200 | + | 26.8171i | −0.623361 | + | 0.965169i | ||||
\(773\) | 18.3484 | − | 18.3484i | 0.659948 | − | 0.659948i | −0.295420 | − | 0.955368i | \(-0.595460\pi\) |
0.955368 | + | 0.295420i | \(0.0954595\pi\) | |||||||
\(774\) | −2.01435 | − | 18.9374i | −0.0724043 | − | 0.680689i | ||||
\(775\) | −0.460652 | − | 31.7155i | −0.0165471 | − | 1.13926i | ||||
\(776\) | 19.5580 | − | 6.43601i | 0.702090 | − | 0.231039i | ||||
\(777\) | 3.08296 | − | 3.08296i | 0.110600 | − | 0.110600i | ||||
\(778\) | 3.44341 | − | 4.26314i | 0.123452 | − | 0.152841i | ||||
\(779\) | 38.9991i | 1.39729i | ||||||||
\(780\) | −0.373527 | − | 1.67664i | −0.0133744 | − | 0.0600334i | ||||
\(781\) | 4.62972i | 0.165664i | ||||||||
\(782\) | 19.8384 | + | 16.0238i | 0.709421 | + | 0.573010i | ||||
\(783\) | 14.2180 | − | 14.2180i | 0.508112 | − | 0.508112i | ||||
\(784\) | −1.64521 | − | 3.64600i | −0.0587575 | − | 0.130214i | ||||
\(785\) | −24.5797 | − | 24.2253i | −0.877287 | − | 0.864638i | ||||
\(786\) | 2.67612 | − | 0.284656i | 0.0954539 | − | 0.0101533i | ||||
\(787\) | 23.4025 | − | 23.4025i | 0.834209 | − | 0.834209i | −0.153880 | − | 0.988089i | \(-0.549177\pi\) |
0.988089 | + | 0.153880i | \(0.0491770\pi\) | |||||||
\(788\) | −24.4534 | + | 37.8619i | −0.871115 | + | 1.34877i | ||||
\(789\) | −13.9043 | −0.495005 | ||||||||
\(790\) | −19.2413 | + | 24.1791i | −0.684576 | + | 0.860252i | ||||
\(791\) | − | 7.84441i | − | 0.278915i | ||||||
\(792\) | 1.00736 | − | 1.99554i | 0.0357951 | − | 0.0709084i | ||||
\(793\) | −1.62136 | − | 1.62136i | −0.0575763 | − | 0.0575763i | ||||
\(794\) | −49.8178 | + | 5.29908i | −1.76797 | + | 0.188057i | ||||
\(795\) | 15.7759 | − | 0.114562i | 0.559514 | − | 0.00406311i | ||||
\(796\) | −0.466783 | − | 2.16934i | −0.0165447 | − | 0.0768902i | ||||
\(797\) | −11.6332 | − | 11.6332i | −0.412069 | − | 0.412069i | 0.470390 | − | 0.882459i | \(-0.344113\pi\) |
−0.882459 | + | 0.470390i | \(0.844113\pi\) | |||||||
\(798\) | 2.32340 | − | 2.87652i | 0.0822476 | − | 0.101828i | ||||
\(799\) | 43.7907 | 1.54920 | ||||||||
\(800\) | −6.75131 | + | 27.4667i | −0.238695 | + | 0.971095i | ||||
\(801\) | −7.73080 | −0.273154 | ||||||||
\(802\) | −24.4027 | + | 30.2120i | −0.861689 | + | 1.06682i | ||||
\(803\) | −0.935039 | − | 0.935039i | −0.0329968 | − | 0.0329968i | ||||
\(804\) | −2.65408 | − | 12.3347i | −0.0936023 | − | 0.435010i | ||||
\(805\) | −11.6254 | + | 0.0844217i | −0.409740 | + | 0.00297548i | ||||
\(806\) | 4.34085 | − | 0.461732i | 0.152900 | − | 0.0162638i | ||||
\(807\) | 8.76511 | + | 8.76511i | 0.308547 | + | 0.308547i | ||||
\(808\) | −12.4289 | + | 24.6210i | −0.437247 | + | 0.866166i | ||||
\(809\) | 37.4253i | 1.31580i | 0.753104 | + | 0.657902i | \(0.228556\pi\) | ||||
−0.753104 | + | 0.657902i | \(0.771444\pi\) | |||||||
\(810\) | −7.44345 | + | 9.35359i | −0.261536 | + | 0.328652i | ||||
\(811\) | 7.52281 | 0.264161 | 0.132081 | − | 0.991239i | \(-0.457834\pi\) | ||||
0.132081 | + | 0.991239i | \(0.457834\pi\) | |||||||
\(812\) | −5.14041 | + | 7.95906i | −0.180393 | + | 0.279308i | ||||
\(813\) | 3.19731 | − | 3.19731i | 0.112135 | − | 0.112135i | ||||
\(814\) | −2.58266 | + | 0.274716i | −0.0905223 | + | 0.00962878i | ||||
\(815\) | 13.0657 | + | 12.8773i | 0.457670 | + | 0.451071i | ||||
\(816\) | 9.98210 | − | 4.50430i | 0.349444 | − | 0.157682i | ||||
\(817\) | −13.2693 | + | 13.2693i | −0.464234 | + | 0.464234i | ||||
\(818\) | −26.0979 | − | 21.0796i | −0.912491 | − | 0.737033i | ||||
\(819\) | 1.15654i | 0.0404128i | ||||||||
\(820\) | −11.4501 | − | 51.3960i | −0.399856 | − | 1.79483i | ||||
\(821\) | 2.07312i | 0.0723523i | 0.999345 | + | 0.0361762i | \(0.0115177\pi\) | ||||
−0.999345 | + | 0.0361762i | \(0.988482\pi\) | |||||||
\(822\) | −1.65927 | + | 2.05427i | −0.0578736 | + | 0.0716511i | ||||
\(823\) | −31.1423 | + | 31.1423i | −1.08555 | + | 1.08555i | −0.0895705 | + | 0.995980i | \(0.528549\pi\) |
−0.995980 | + | 0.0895705i | \(0.971451\pi\) | |||||||
\(824\) | 12.2874 | − | 4.04345i | 0.428051 | − | 0.140860i | ||||
\(825\) | 0.941374 | + | 0.914420i | 0.0327744 | + | 0.0318360i | ||||
\(826\) | −0.199578 | − | 1.87628i | −0.00694422 | − | 0.0652842i | ||||
\(827\) | 9.18398 | − | 9.18398i | 0.319358 | − | 0.319358i | −0.529162 | − | 0.848521i | \(-0.677494\pi\) |
0.848521 | + | 0.529162i | \(0.177494\pi\) | |||||||
\(828\) | 13.4091 | − | 20.7617i | 0.465999 | − | 0.721521i | ||||
\(829\) | −28.5039 | −0.989981 | −0.494991 | − | 0.868898i | \(-0.664829\pi\) | ||||
−0.494991 | + | 0.868898i | \(0.664829\pi\) | |||||||
\(830\) | −33.5461 | + | 3.81482i | −1.16440 | + | 0.132414i | ||||
\(831\) | 23.0190i | 0.798522i | ||||||||
\(832\) | −3.84919 | − | 0.580072i | −0.133446 | − | 0.0201104i | ||||
\(833\) | 2.45246 | + | 2.45246i | 0.0849728 | + | 0.0849728i | ||||
\(834\) | −0.468939 | − | 4.40860i | −0.0162380 | − | 0.152657i | ||||
\(835\) | 10.5845 | + | 10.4319i | 0.366291 | + | 0.361009i | ||||
\(836\) | −2.15340 | + | 0.463354i | −0.0744770 | + | 0.0160254i | ||||
\(837\) | 19.0393 | + | 19.0393i | 0.658095 | + | 0.658095i | ||||
\(838\) | −30.3041 | − | 24.4771i | −1.04684 | − | 0.845546i | ||||
\(839\) | 28.3334 | 0.978176 | 0.489088 | − | 0.872234i | \(-0.337330\pi\) | ||||
0.489088 | + | 0.872234i | \(0.337330\pi\) | |||||||
\(840\) | −2.21742 | + | 4.47305i | −0.0765082 | + | 0.154335i | ||||
\(841\) | −6.55739 | −0.226117 | ||||||||
\(842\) | 30.5196 | + | 24.6511i | 1.05178 | + | 0.849535i | ||||
\(843\) | −10.4603 | − | 10.4603i | −0.360273 | − | 0.360273i | ||||
\(844\) | −1.54096 | − | 7.16148i | −0.0530419 | − | 0.246508i | ||||
\(845\) | 0.207244 | + | 28.5387i | 0.00712941 | + | 0.981762i | ||||
\(846\) | −4.48908 | − | 42.2029i | −0.154338 | − | 1.45096i | ||||
\(847\) | −7.70000 | − | 7.70000i | −0.264575 | − | 0.264575i | ||||
\(848\) | 12.6450 | − | 33.4404i | 0.434230 | − | 1.14835i | ||||
\(849\) | − | 4.67966i | − | 0.160606i | ||||||
\(850\) | −2.94793 | − | 24.3468i | −0.101113 | − | 0.835089i | ||||
\(851\) | −28.7162 | −0.984379 | ||||||||
\(852\) | 18.4657 | + | 11.9262i | 0.632625 | + | 0.408585i | ||||
\(853\) | 25.5098 | − | 25.5098i | 0.873440 | − | 0.873440i | −0.119406 | − | 0.992846i | \(-0.538099\pi\) |
0.992846 | + | 0.119406i | \(0.0380989\pi\) | |||||||
\(854\) | 0.704900 | + | 6.62692i | 0.0241212 | + | 0.226769i | ||||
\(855\) | 17.6036 | − | 0.127835i | 0.602029 | − | 0.00437185i | ||||
\(856\) | −10.7699 | + | 3.54410i | −0.368109 | + | 0.121135i | ||||
\(857\) | −38.1674 | + | 38.1674i | −1.30377 | + | 1.30377i | −0.377946 | + | 0.925828i | \(0.623370\pi\) |
−0.925828 | + | 0.377946i | \(0.876630\pi\) | |||||||
\(858\) | −0.113491 | + | 0.140509i | −0.00387451 | + | 0.00479688i | ||||
\(859\) | − | 38.8201i | − | 1.32453i | −0.749272 | − | 0.662263i | \(-0.769596\pi\) | ||
0.749272 | − | 0.662263i | \(-0.230404\pi\) | |||||||
\(860\) | 13.5914 | − | 21.3832i | 0.463464 | − | 0.729161i | ||||
\(861\) | − | 9.29440i | − | 0.316752i | ||||||
\(862\) | −11.9393 | − | 9.64356i | −0.406654 | − | 0.328461i | ||||
\(863\) | 11.5955 | − | 11.5955i | 0.394716 | − | 0.394716i | −0.481649 | − | 0.876364i | \(-0.659962\pi\) |
0.876364 | + | 0.481649i | \(0.159962\pi\) | |||||||
\(864\) | −12.1348 | − | 20.7178i | −0.412836 | − | 0.704835i | ||||
\(865\) | −25.9730 | + | 26.3530i | −0.883109 | + | 0.896029i | ||||
\(866\) | −24.2568 | + | 2.58017i | −0.824278 | + | 0.0876778i | ||||
\(867\) | 2.77462 | − | 2.77462i | 0.0942312 | − | 0.0942312i | ||||
\(868\) | −10.6579 | − | 6.88349i | −0.361754 | − | 0.233641i | ||||
\(869\) | 3.24916 | 0.110220 | ||||||||
\(870\) | 11.7499 | − | 1.33619i | 0.398360 | − | 0.0453010i | ||||
\(871\) | − | 3.88859i | − | 0.131760i | ||||||
\(872\) | 18.5397 | + | 9.35898i | 0.627833 | + | 0.316935i | ||||
\(873\) | 12.2348 | + | 12.2348i | 0.414085 | + | 0.414085i | ||||
\(874\) | −24.2173 | + | 2.57598i | −0.819163 | + | 0.0871337i | ||||
\(875\) | 8.07603 | + | 7.73160i | 0.273020 | + | 0.261376i | ||||
\(876\) | −6.13809 | + | 1.32075i | −0.207387 | + | 0.0446240i | ||||
\(877\) | −3.28961 | − | 3.28961i | −0.111082 | − | 0.111082i | 0.649381 | − | 0.760463i | \(-0.275028\pi\) |
−0.760463 | + | 0.649381i | \(0.775028\pi\) | |||||||
\(878\) | 1.36884 | − | 1.69470i | 0.0461960 | − | 0.0571935i | ||||
\(879\) | −6.34912 | −0.214150 | ||||||||
\(880\) | 2.70188 | − | 1.24288i | 0.0910804 | − | 0.0418976i | ||||
\(881\) | 21.8695 | 0.736803 | 0.368402 | − | 0.929667i | \(-0.379905\pi\) | ||||
0.368402 | + | 0.929667i | \(0.379905\pi\) | |||||||
\(882\) | 2.11213 | − | 2.61495i | 0.0711192 | − | 0.0880498i | ||||
\(883\) | 17.3219 | + | 17.3219i | 0.582930 | + | 0.582930i | 0.935707 | − | 0.352778i | \(-0.114763\pi\) |
−0.352778 | + | 0.935707i | \(0.614763\pi\) | |||||||
\(884\) | 3.29970 | − | 0.710006i | 0.110981 | − | 0.0238801i | ||||
\(885\) | −1.65313 | + | 1.67732i | −0.0555695 | + | 0.0563825i | ||||
\(886\) | −51.3157 | + | 5.45841i | −1.72399 | + | 0.183379i | ||||
\(887\) | −39.8192 | − | 39.8192i | −1.33700 | − | 1.33700i | −0.898955 | − | 0.438042i | \(-0.855672\pi\) |
−0.438042 | − | 0.898955i | \(-0.644328\pi\) | |||||||
\(888\) | −5.55726 | + | 11.0087i | −0.186490 | + | 0.369427i | ||||
\(889\) | − | 7.28180i | − | 0.244224i | ||||||
\(890\) | −8.04802 | − | 6.40450i | −0.269770 | − | 0.214679i | ||||
\(891\) | 1.25693 | 0.0421086 | ||||||||
\(892\) | −8.52886 | − | 5.50842i | −0.285567 | − | 0.184436i | ||||
\(893\) | −29.5713 | + | 29.5713i | −0.989566 | + | 0.989566i | ||||
\(894\) | −26.2904 | + | 2.79648i | −0.879282 | + | 0.0935284i | ||||
\(895\) | −0.255055 | − | 35.1226i | −0.00852555 | − | 1.17402i | ||||
\(896\) | 7.64368 | + | 8.34112i | 0.255357 | + | 0.278657i | ||||
\(897\) | −1.41209 | + | 1.41209i | −0.0471482 | + | 0.0471482i | ||||
\(898\) | 22.0592 | + | 17.8176i | 0.736126 | + | 0.594580i | ||||
\(899\) | 30.0528i | 1.00232i | ||||||||
\(900\) | −23.1618 | + | 5.33688i | −0.772061 | + | 0.177896i | ||||
\(901\) | 30.9992i | 1.03273i | ||||||||
\(902\) | −3.47897 | + | 4.30717i | −0.115837 | + | 0.143413i | ||||
\(903\) | 3.16239 | − | 3.16239i | 0.105238 | − | 0.105238i | ||||
\(904\) | 6.93541 | + | 21.0755i | 0.230668 | + | 0.700962i | ||||
\(905\) | 0.267837 | + | 36.8827i | 0.00890319 | + | 1.22602i | ||||
\(906\) | 0.551817 | + | 5.18776i | 0.0183329 | + | 0.172352i | ||||
\(907\) | −8.71673 | + | 8.71673i | −0.289434 | + | 0.289434i | −0.836857 | − | 0.547422i | \(-0.815609\pi\) |
0.547422 | + | 0.836857i | \(0.315609\pi\) | |||||||
\(908\) | −36.9914 | − | 23.8912i | −1.22760 | − | 0.792856i | ||||
\(909\) | −23.1771 | −0.768738 | ||||||||
\(910\) | −0.958124 | + | 1.20400i | −0.0317615 | + | 0.0399121i | ||||
\(911\) | 8.98671i | 0.297743i | 0.988857 | + | 0.148871i | \(0.0475641\pi\) | ||||
−0.988857 | + | 0.148871i | \(0.952436\pi\) | |||||||
\(912\) | −3.69909 | + | 9.78249i | −0.122489 | + | 0.323931i | ||||
\(913\) | 2.51026 | + | 2.51026i | 0.0830776 | + | 0.0830776i | ||||
\(914\) | −4.40034 | − | 41.3686i | −0.145550 | − | 1.36835i | ||||
\(915\) | 5.83877 | − | 5.92419i | 0.193024 | − | 0.195848i | ||||
\(916\) | 4.27714 | + | 19.8777i | 0.141321 | + | 0.656778i | ||||
\(917\) | −1.70463 | − | 1.70463i | −0.0562918 | − | 0.0562918i | ||||
\(918\) | 16.1954 | + | 13.0813i | 0.534529 | + | 0.431747i | ||||
\(919\) | 51.6484 | 1.70372 | 0.851862 | − | 0.523766i | \(-0.175473\pi\) | ||||
0.851862 | + | 0.523766i | \(0.175473\pi\) | |||||||
\(920\) | 31.1592 | − | 10.5050i | 1.02729 | − | 0.346341i | ||||
\(921\) | 3.49108 | 0.115035 | ||||||||
\(922\) | 8.01467 | + | 6.47357i | 0.263949 | + | 0.213196i | ||||
\(923\) | 4.79063 | + | 4.79063i | 0.157686 | + | 0.157686i | ||||
\(924\) | 0.513207 | − | 0.110428i | 0.0168833 | − | 0.00363282i | ||||
\(925\) | 19.8091 | + | 19.2420i | 0.651321 | + | 0.632671i | ||||
\(926\) | −0.243394 | − | 2.28820i | −0.00799842 | − | 0.0751950i | ||||
\(927\) | 7.68655 | + | 7.68655i | 0.252459 | + | 0.252459i | ||||
\(928\) | 6.77395 | − | 25.9283i | 0.222366 | − | 0.851138i | ||||
\(929\) | − | 16.9549i | − | 0.556271i | −0.960542 | − | 0.278135i | \(-0.910284\pi\) | ||
0.960542 | − | 0.278135i | \(-0.0897164\pi\) | |||||||
\(930\) | 1.78928 | + | 15.7343i | 0.0586728 | + | 0.515946i | ||||
\(931\) | −3.31224 | −0.108554 | ||||||||
\(932\) | 25.6249 | − | 39.6759i | 0.839373 | − | 1.29963i | ||||
\(933\) | 1.08541 | − | 1.08541i | 0.0355349 | − | 0.0355349i | ||||
\(934\) | 5.60200 | + | 52.6656i | 0.183303 | + | 1.72327i | ||||
\(935\) | −1.81014 | + | 1.83662i | −0.0591980 | + | 0.0600640i | ||||
\(936\) | −1.02252 | − | 3.10727i | −0.0334222 | − | 0.101564i | ||||
\(937\) | 3.02935 | − | 3.02935i | 0.0989645 | − | 0.0989645i | −0.655891 | − | 0.754856i | \(-0.727707\pi\) |
0.754856 | + | 0.655891i | \(0.227707\pi\) | |||||||
\(938\) | −7.10153 | + | 8.79212i | −0.231873 | + | 0.287073i | ||||
\(939\) | − | 16.6869i | − | 0.544557i | ||||||
\(940\) | 30.2892 | − | 47.6535i | 0.987926 | − | 1.55429i | ||||
\(941\) | − | 51.3487i | − | 1.67392i | −0.547265 | − | 0.836959i | \(-0.684331\pi\) | ||
0.547265 | − | 0.836959i | \(-0.315669\pi\) | |||||||
\(942\) | 13.4036 | + | 10.8263i | 0.436713 | + | 0.352739i | ||||
\(943\) | −43.2864 | + | 43.2864i | −1.40960 | + | 1.40960i | ||||
\(944\) | 2.19507 | + | 4.86455i | 0.0714433 | + | 0.158327i | ||||
\(945\) | −9.49056 | + | 0.0689191i | −0.308728 | + | 0.00224194i | ||||
\(946\) | −2.64921 | + | 0.281794i | −0.0861331 | + | 0.00916190i | ||||
\(947\) | 35.7158 | − | 35.7158i | 1.16061 | − | 1.16061i | 0.176264 | − | 0.984343i | \(-0.443599\pi\) |
0.984343 | − | 0.176264i | \(-0.0564013\pi\) | |||||||
\(948\) | 8.36987 | − | 12.9593i | 0.271841 | − | 0.420899i | ||||
\(949\) | −1.93508 | −0.0628152 | ||||||||
\(950\) | 18.4318 | + | 14.4504i | 0.598007 | + | 0.468833i | ||||
\(951\) | − | 16.0012i | − | 0.518875i | ||||||
\(952\) | −8.75729 | − | 4.42075i | −0.283826 | − | 0.143277i | ||||
\(953\) | 8.40969 | + | 8.40969i | 0.272416 | + | 0.272416i | 0.830072 | − | 0.557656i | \(-0.188299\pi\) |
−0.557656 | + | 0.830072i | \(0.688299\pi\) | |||||||
\(954\) | 29.8752 | − | 3.17779i | 0.967244 | − | 0.102885i | ||||
\(955\) | −0.242566 | − | 33.4027i | −0.00784924 | − | 1.08089i | ||||
\(956\) | 11.4596 | + | 53.2578i | 0.370631 | + | 1.72248i | ||||
\(957\) | −0.879250 | − | 0.879250i | −0.0284221 | − | 0.0284221i | ||||
\(958\) | 21.5734 | − | 26.7092i | 0.697005 | − | 0.862934i | ||||
\(959\) | 2.36545 | 0.0763843 | ||||||||
\(960\) | 2.00281 | − | 13.9782i | 0.0646405 | − | 0.451144i | ||||
\(961\) | −9.24348 | −0.298177 | ||||||||
\(962\) | −2.38817 | + | 2.95669i | −0.0769975 | + | 0.0953276i | ||||
\(963\) | −6.73730 | − | 6.73730i | −0.217106 | − | 0.217106i | ||||
\(964\) | 8.04943 | + | 37.4091i | 0.259255 | + | 1.20487i | ||||
\(965\) | −25.4207 | − | 25.0542i | −0.818322 | − | 0.806523i | ||||
\(966\) | 5.77156 | − | 0.613916i | 0.185697 | − | 0.0197524i | ||||
\(967\) | 18.5734 | + | 18.5734i | 0.597279 | + | 0.597279i | 0.939588 | − | 0.342308i | \(-0.111209\pi\) |
−0.342308 | + | 0.939588i | \(0.611209\pi\) | |||||||
\(968\) | 27.4953 | + | 13.8798i | 0.883731 | + | 0.446114i | ||||
\(969\) | − | 9.06833i | − | 0.291317i | ||||||
\(970\) | 2.60104 | + | 22.8726i | 0.0835144 | + | 0.734394i | ||||
\(971\) | 45.5918 | 1.46311 | 0.731556 | − | 0.681782i | \(-0.238795\pi\) | ||||
0.731556 | + | 0.681782i | \(0.238795\pi\) | |||||||
\(972\) | 17.0544 | − | 26.4059i | 0.547021 | − | 0.846970i | ||||
\(973\) | −2.80818 | + | 2.80818i | −0.0900262 | + | 0.0900262i | ||||
\(974\) | 1.50272 | − | 0.159843i | 0.0481502 | − | 0.00512170i | ||||
\(975\) | 1.92029 | − | 0.0278913i | 0.0614986 | − | 0.000893236i | ||||
\(976\) | −7.75285 | − | 17.1813i | −0.248163 | − | 0.549960i | ||||
\(977\) | 16.4665 | − | 16.4665i | 0.526809 | − | 0.526809i | −0.392810 | − | 0.919619i | \(-0.628497\pi\) |
0.919619 | + | 0.392810i | \(0.128497\pi\) | |||||||
\(978\) | −7.12486 | − | 5.75485i | −0.227828 | − | 0.184020i | ||||
\(979\) | 1.08148i | 0.0345644i | ||||||||
\(980\) | 4.36512 | − | 0.972474i | 0.139439 | − | 0.0310645i | ||||
\(981\) | 17.4524i | 0.557213i | ||||||||
\(982\) | −37.0057 | + | 45.8153i | −1.18090 | + | 1.46202i | ||||
\(983\) | 1.08961 | − | 1.08961i | 0.0347532 | − | 0.0347532i | −0.689517 | − | 0.724270i | \(-0.742177\pi\) |
0.724270 | + | 0.689517i | \(0.242177\pi\) | |||||||
\(984\) | 8.21737 | + | 24.9712i | 0.261960 | + | 0.796054i | ||||
\(985\) | −35.8904 | − | 35.3729i | −1.14356 | − | 1.12707i | ||||
\(986\) | 2.45777 | + | 23.1061i | 0.0782714 | + | 0.735847i | ||||
\(987\) | 7.04754 | − | 7.04754i | 0.224326 | − | 0.224326i | ||||
\(988\) | −1.74879 | + | 2.70771i | −0.0556364 | + | 0.0861436i | ||||
\(989\) | −29.4561 | −0.936648 | ||||||||
\(990\) | 1.95559 | + | 1.55623i | 0.0621528 | + | 0.0494603i | ||||
\(991\) | 45.8069i | 1.45510i | 0.686052 | + | 0.727552i | \(0.259342\pi\) | ||||
−0.686052 | + | 0.727552i | \(0.740658\pi\) | |||||||
\(992\) | 34.7204 | + | 9.07096i | 1.10238 | + | 0.288003i | ||||
\(993\) | 3.45920 | + | 3.45920i | 0.109774 | + | 0.109774i | ||||
\(994\) | −2.08276 | − | 19.5805i | −0.0660612 | − | 0.621057i | ||||
\(995\) | 2.48084 | − | 0.0180155i | 0.0786479 | − | 0.000571130i | ||||
\(996\) | 16.4787 | − | 3.54577i | 0.522147 | − | 0.112352i | ||||
\(997\) | 6.62710 | + | 6.62710i | 0.209882 | + | 0.209882i | 0.804217 | − | 0.594335i | \(-0.202585\pi\) |
−0.594335 | + | 0.804217i | \(0.702585\pi\) | |||||||
\(998\) | 36.2149 | + | 29.2514i | 1.14636 | + | 0.925935i | ||||
\(999\) | −23.4430 | −0.741702 |
(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 | 280.2.w.a.43.26 | ✓ | 72 | |
4.3 | odd | 2 | 1120.2.bi.a.463.21 | 72 | |||
5.2 | odd | 4 | inner | 280.2.w.a.267.30 | yes | 72 | |
8.3 | odd | 2 | inner | 280.2.w.a.43.30 | yes | 72 | |
8.5 | even | 2 | 1120.2.bi.a.463.22 | 72 | |||
20.7 | even | 4 | 1120.2.bi.a.687.22 | 72 | |||
40.27 | even | 4 | inner | 280.2.w.a.267.26 | yes | 72 | |
40.37 | odd | 4 | 1120.2.bi.a.687.21 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.w.a.43.26 | ✓ | 72 | 1.1 | even | 1 | trivial | |
280.2.w.a.43.30 | yes | 72 | 8.3 | odd | 2 | inner | |
280.2.w.a.267.26 | yes | 72 | 40.27 | even | 4 | inner | |
280.2.w.a.267.30 | yes | 72 | 5.2 | odd | 4 | inner | |
1120.2.bi.a.463.21 | 72 | 4.3 | odd | 2 | |||
1120.2.bi.a.463.22 | 72 | 8.5 | even | 2 | |||
1120.2.bi.a.687.21 | 72 | 40.37 | odd | 4 | |||
1120.2.bi.a.687.22 | 72 | 20.7 | even | 4 |