Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 95.14 | ||
Character | \(\chi\) | \(=\) | 108.95 |
Dual form | 108.2.l.a.83.14 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24471 | + | 0.671335i | 0.880145 | + | 0.474706i | ||||
\(3\) | −0.528973 | − | 1.64930i | −0.305402 | − | 0.952223i | ||||
\(4\) | 1.09862 | + | 1.67124i | 0.549309 | + | 0.835619i | ||||
\(5\) | 0.546554 | − | 0.651358i | 0.244426 | − | 0.291296i | −0.629858 | − | 0.776710i | \(-0.716887\pi\) |
0.874284 | + | 0.485414i | \(0.161331\pi\) | |||||||
\(6\) | 0.448814 | − | 2.40802i | 0.183227 | − | 0.983071i | ||||
\(7\) | 0.348909 | − | 0.958618i | 0.131875 | − | 0.362324i | −0.856127 | − | 0.516766i | \(-0.827136\pi\) |
0.988002 | + | 0.154442i | \(0.0493580\pi\) | |||||||
\(8\) | 0.245503 | + | 2.81775i | 0.0867985 | + | 0.996226i | ||||
\(9\) | −2.44038 | + | 1.74487i | −0.813459 | + | 0.581623i | ||||
\(10\) | 1.11758 | − | 0.443832i | 0.353410 | − | 0.140352i | ||||
\(11\) | −1.57259 | + | 1.31956i | −0.474155 | + | 0.397863i | −0.848307 | − | 0.529504i | \(-0.822378\pi\) |
0.374153 | + | 0.927367i | \(0.377934\pi\) | |||||||
\(12\) | 2.17523 | − | 2.69599i | 0.627936 | − | 0.778265i | ||||
\(13\) | −0.374417 | + | 2.12343i | −0.103845 | + | 0.588933i | 0.887831 | + | 0.460170i | \(0.152212\pi\) |
−0.991675 | + | 0.128762i | \(0.958900\pi\) | |||||||
\(14\) | 1.07784 | − | 0.958970i | 0.288066 | − | 0.256295i | ||||
\(15\) | −1.36340 | − | 0.556881i | −0.352027 | − | 0.143786i | ||||
\(16\) | −1.58608 | + | 3.67211i | −0.396519 | + | 0.918027i | ||||
\(17\) | −6.34902 | − | 3.66561i | −1.53986 | − | 0.889041i | −0.998846 | − | 0.0480291i | \(-0.984706\pi\) |
−0.541017 | − | 0.841011i | \(-0.681961\pi\) | |||||||
\(18\) | −4.20896 | + | 0.533549i | −0.992061 | + | 0.125759i | ||||
\(19\) | 4.39109 | − | 2.53520i | 1.00738 | − | 0.581614i | 0.0969597 | − | 0.995288i | \(-0.469088\pi\) |
0.910425 | + | 0.413675i | \(0.135755\pi\) | |||||||
\(20\) | 1.68903 | + | 0.197828i | 0.377678 | + | 0.0442358i | ||||
\(21\) | −1.76561 | − | 0.0683717i | −0.385288 | − | 0.0149199i | ||||
\(22\) | −2.84329 | + | 0.586739i | −0.606192 | + | 0.125093i | ||||
\(23\) | −5.20278 | + | 1.89366i | −1.08486 | + | 0.394855i | −0.821713 | − | 0.569902i | \(-0.806981\pi\) |
−0.263142 | + | 0.964757i | \(0.584759\pi\) | |||||||
\(24\) | 4.51745 | − | 1.89542i | 0.922121 | − | 0.386901i | ||||
\(25\) | 0.742695 | + | 4.21203i | 0.148539 | + | 0.842407i | ||||
\(26\) | −1.89157 | + | 2.39170i | −0.370968 | + | 0.469050i | ||||
\(27\) | 4.16870 | + | 3.10192i | 0.802267 | + | 0.596965i | ||||
\(28\) | 1.98540 | − | 0.470046i | 0.375205 | − | 0.0888304i | ||||
\(29\) | 3.64198 | − | 0.642180i | 0.676300 | − | 0.119250i | 0.175059 | − | 0.984558i | \(-0.443988\pi\) |
0.501240 | + | 0.865308i | \(0.332877\pi\) | |||||||
\(30\) | −1.32318 | − | 1.60845i | −0.241579 | − | 0.293662i | ||||
\(31\) | −1.60292 | − | 4.40400i | −0.287894 | − | 0.790981i | −0.996361 | − | 0.0852374i | \(-0.972835\pi\) |
0.708467 | − | 0.705744i | \(-0.249387\pi\) | |||||||
\(32\) | −4.43942 | + | 3.50593i | −0.784786 | + | 0.619767i | ||||
\(33\) | 3.00821 | + | 1.89566i | 0.523662 | + | 0.329993i | ||||
\(34\) | −5.44185 | − | 8.82495i | −0.933270 | − | 1.51347i | ||||
\(35\) | −0.433706 | − | 0.751201i | −0.0733097 | − | 0.126976i | ||||
\(36\) | −5.59713 | − | 2.16151i | −0.932855 | − | 0.360251i | ||||
\(37\) | 5.33157 | − | 9.23455i | 0.876504 | − | 1.51815i | 0.0213528 | − | 0.999772i | \(-0.493203\pi\) |
0.855152 | − | 0.518378i | \(-0.173464\pi\) | |||||||
\(38\) | 7.16761 | − | 0.207699i | 1.16274 | − | 0.0336932i | ||||
\(39\) | 3.70022 | − | 0.505708i | 0.592510 | − | 0.0809781i | ||||
\(40\) | 1.96955 | + | 1.38014i | 0.311412 | + | 0.218220i | ||||
\(41\) | 4.00006 | + | 0.705319i | 0.624705 | + | 0.110152i | 0.477035 | − | 0.878884i | \(-0.341712\pi\) |
0.147670 | + | 0.989037i | \(0.452823\pi\) | |||||||
\(42\) | −2.15178 | − | 1.27042i | −0.332027 | − | 0.196030i | ||||
\(43\) | 3.51843 | + | 4.19310i | 0.536555 | + | 0.639441i | 0.964412 | − | 0.264405i | \(-0.0851756\pi\) |
−0.427857 | + | 0.903847i | \(0.640731\pi\) | |||||||
\(44\) | −3.93298 | − | 1.17848i | −0.592919 | − | 0.177663i | ||||
\(45\) | −0.197264 | + | 2.54322i | −0.0294064 | + | 0.379121i | ||||
\(46\) | −7.74725 | − | 1.13575i | −1.14227 | − | 0.167457i | ||||
\(47\) | −4.10423 | − | 1.49382i | −0.598663 | − | 0.217896i | 0.0248724 | − | 0.999691i | \(-0.492082\pi\) |
−0.623535 | + | 0.781795i | \(0.714304\pi\) | |||||||
\(48\) | 6.89539 | + | 0.673469i | 0.995264 | + | 0.0972068i | ||||
\(49\) | 4.56510 | + | 3.83057i | 0.652157 | + | 0.547225i | ||||
\(50\) | −1.90324 | + | 5.74137i | −0.269159 | + | 0.811952i | ||||
\(51\) | −2.68723 | + | 12.4104i | −0.376287 | + | 1.73781i | ||||
\(52\) | −3.96009 | + | 1.70709i | −0.549166 | + | 0.236731i | ||||
\(53\) | − | 5.55975i | − | 0.763690i | −0.924226 | − | 0.381845i | \(-0.875289\pi\) | ||
0.924226 | − | 0.381845i | \(-0.124711\pi\) | |||||||
\(54\) | 3.10641 | + | 6.65960i | 0.422728 | + | 0.906256i | ||||
\(55\) | 1.74553i | 0.235368i | ||||||||
\(56\) | 2.78681 | + | 0.747794i | 0.372403 | + | 0.0999282i | ||||
\(57\) | −6.50406 | − | 5.90117i | −0.861484 | − | 0.781629i | ||||
\(58\) | 4.96434 | + | 1.64566i | 0.651850 | + | 0.216086i | ||||
\(59\) | 9.24583 | + | 7.75817i | 1.20370 | + | 1.01003i | 0.999516 | + | 0.0310964i | \(0.00989987\pi\) |
0.204188 | + | 0.978932i | \(0.434545\pi\) | |||||||
\(60\) | −0.567171 | − | 2.89036i | −0.0732215 | − | 0.373144i | ||||
\(61\) | −0.502750 | − | 0.182986i | −0.0643705 | − | 0.0234290i | 0.309634 | − | 0.950856i | \(-0.399793\pi\) |
−0.374005 | + | 0.927427i | \(0.622016\pi\) | |||||||
\(62\) | 0.961378 | − | 6.55781i | 0.122095 | − | 0.832843i | ||||
\(63\) | 0.821195 | + | 2.94819i | 0.103461 | + | 0.371437i | ||||
\(64\) | −7.87946 | + | 1.38353i | −0.984932 | + | 0.172942i | ||||
\(65\) | 1.17847 | + | 1.40445i | 0.146171 | + | 0.174200i | ||||
\(66\) | 2.47173 | + | 4.37907i | 0.304249 | + | 0.539027i | ||||
\(67\) | −6.40223 | − | 1.12889i | −0.782157 | − | 0.137915i | −0.231709 | − | 0.972785i | \(-0.574432\pi\) |
−0.550448 | + | 0.834870i | \(0.685543\pi\) | |||||||
\(68\) | −0.849045 | − | 14.6378i | −0.102962 | − | 1.77510i | ||||
\(69\) | 5.87534 | + | 7.57925i | 0.707308 | + | 0.912435i | ||||
\(70\) | −0.0355318 | − | 1.22619i | −0.00424687 | − | 0.146558i | ||||
\(71\) | 5.86015 | − | 10.1501i | 0.695472 | − | 1.20459i | −0.274550 | − | 0.961573i | \(-0.588529\pi\) |
0.970021 | − | 0.243019i | \(-0.0781379\pi\) | |||||||
\(72\) | −5.51573 | − | 6.44800i | −0.650035 | − | 0.759905i | ||||
\(73\) | −0.769587 | − | 1.33296i | −0.0900734 | − | 0.156012i | 0.817468 | − | 0.575973i | \(-0.195377\pi\) |
−0.907542 | + | 0.419962i | \(0.862043\pi\) | |||||||
\(74\) | 12.8357 | − | 7.91509i | 1.49212 | − | 0.920110i | ||||
\(75\) | 6.55404 | − | 3.45298i | 0.756795 | − | 0.398716i | ||||
\(76\) | 9.06105 | + | 4.55334i | 1.03937 | + | 0.522304i | ||||
\(77\) | 0.716265 | + | 1.96792i | 0.0816260 | + | 0.224266i | ||||
\(78\) | 4.94521 | + | 1.85463i | 0.559935 | + | 0.209995i | ||||
\(79\) | −14.2516 | + | 2.51294i | −1.60343 | + | 0.282728i | −0.902560 | − | 0.430563i | \(-0.858315\pi\) |
−0.700868 | + | 0.713291i | \(0.747204\pi\) | |||||||
\(80\) | 1.52498 | + | 3.04011i | 0.170498 | + | 0.339894i | ||||
\(81\) | 2.91087 | − | 8.51627i | 0.323430 | − | 0.946252i | ||||
\(82\) | 4.50542 | + | 3.56330i | 0.497541 | + | 0.393501i | ||||
\(83\) | −0.916197 | − | 5.19601i | −0.100566 | − | 0.570337i | −0.992899 | − | 0.118960i | \(-0.962044\pi\) |
0.892333 | − | 0.451377i | \(-0.149067\pi\) | |||||||
\(84\) | −1.82547 | − | 3.02587i | −0.199175 | − | 0.330150i | ||||
\(85\) | −5.85770 | + | 2.13203i | −0.635357 | + | 0.231251i | ||||
\(86\) | 1.56446 | + | 7.58125i | 0.168700 | + | 0.817507i | ||||
\(87\) | −2.98566 | − | 5.66703i | −0.320096 | − | 0.607569i | ||||
\(88\) | −4.10428 | − | 4.10722i | −0.437517 | − | 0.437831i | ||||
\(89\) | −3.41168 | + | 1.96973i | −0.361637 | + | 0.208791i | −0.669799 | − | 0.742543i | \(-0.733620\pi\) |
0.308162 | + | 0.951334i | \(0.400286\pi\) | |||||||
\(90\) | −1.95289 | + | 3.03315i | −0.205853 | + | 0.319722i | ||||
\(91\) | 1.90492 | + | 1.09981i | 0.199690 | + | 0.115291i | ||||
\(92\) | −8.88063 | − | 6.61468i | −0.925869 | − | 0.689628i | ||||
\(93\) | −6.41561 | + | 4.97330i | −0.665267 | + | 0.515707i | ||||
\(94\) | −4.10573 | − | 4.61468i | −0.423474 | − | 0.475968i | ||||
\(95\) | 0.748647 | − | 4.24579i | 0.0768096 | − | 0.435609i | ||||
\(96\) | 8.13066 | + | 5.46739i | 0.829832 | + | 0.558014i | ||||
\(97\) | 3.35056 | − | 2.81145i | 0.340198 | − | 0.285460i | −0.456642 | − | 0.889651i | \(-0.650948\pi\) |
0.796840 | + | 0.604191i | \(0.206503\pi\) | |||||||
\(98\) | 3.11064 | + | 7.83267i | 0.314222 | + | 0.791219i | ||||
\(99\) | 1.53526 | − | 5.96420i | 0.154299 | − | 0.599424i | ||||
\(100\) | −6.22337 | + | 5.86864i | −0.622337 | + | 0.586864i | ||||
\(101\) | −2.06720 | + | 5.67959i | −0.205694 | + | 0.565140i | −0.999048 | − | 0.0436206i | \(-0.986111\pi\) |
0.793354 | + | 0.608760i | \(0.208333\pi\) | |||||||
\(102\) | −11.6764 | + | 13.6434i | −1.15613 | + | 1.35090i | ||||
\(103\) | 0.110043 | − | 0.131145i | 0.0108429 | − | 0.0129221i | −0.760596 | − | 0.649226i | \(-0.775093\pi\) |
0.771439 | + | 0.636304i | \(0.219537\pi\) | |||||||
\(104\) | −6.07521 | − | 0.533707i | −0.595723 | − | 0.0523343i | ||||
\(105\) | −1.00954 | + | 1.11268i | −0.0985207 | + | 0.108586i | ||||
\(106\) | 3.73245 | − | 6.92028i | 0.362528 | − | 0.672157i | ||||
\(107\) | 8.17263 | 0.790078 | 0.395039 | − | 0.918664i | \(-0.370731\pi\) | ||||
0.395039 | + | 0.918664i | \(0.370731\pi\) | |||||||
\(108\) | −0.604239 | + | 10.3747i | −0.0581429 | + | 0.998308i | ||||
\(109\) | −19.1819 | −1.83729 | −0.918646 | − | 0.395082i | \(-0.870716\pi\) | ||||
−0.918646 | + | 0.395082i | \(0.870716\pi\) | |||||||
\(110\) | −1.17184 | + | 2.17269i | −0.111730 | + | 0.207158i | ||||
\(111\) | −18.0508 | − | 3.90853i | −1.71330 | − | 0.370981i | ||||
\(112\) | 2.96675 | + | 2.80167i | 0.280332 | + | 0.264733i | ||||
\(113\) | −3.19731 | + | 3.81040i | −0.300777 | + | 0.358452i | −0.895172 | − | 0.445721i | \(-0.852947\pi\) |
0.594395 | + | 0.804174i | \(0.297392\pi\) | |||||||
\(114\) | −4.13402 | − | 11.7117i | −0.387187 | − | 1.09690i | ||||
\(115\) | −1.61015 | + | 4.42386i | −0.150148 | + | 0.412527i | ||||
\(116\) | 5.07439 | + | 5.38111i | 0.471145 | + | 0.499624i | ||||
\(117\) | −2.79138 | − | 5.83527i | −0.258063 | − | 0.539471i | ||||
\(118\) | 6.30007 | + | 15.8637i | 0.579968 | + | 1.46038i | ||||
\(119\) | −5.72915 | + | 4.80732i | −0.525190 | + | 0.440687i | ||||
\(120\) | 1.23443 | − | 3.97843i | 0.112688 | − | 0.363179i | ||||
\(121\) | −1.17833 | + | 6.68262i | −0.107121 | + | 0.607511i | ||||
\(122\) | −0.502934 | − | 0.565279i | −0.0455335 | − | 0.0511779i | ||||
\(123\) | −0.952641 | − | 6.97039i | −0.0858968 | − | 0.628499i | ||||
\(124\) | 5.59913 | − | 7.51718i | 0.502817 | − | 0.675063i | ||||
\(125\) | 6.83132 | + | 3.94406i | 0.611011 | + | 0.352768i | ||||
\(126\) | −0.957071 | + | 4.22094i | −0.0852627 | + | 0.376032i | ||||
\(127\) | 12.8653 | − | 7.42778i | 1.14161 | − | 0.659109i | 0.194781 | − | 0.980847i | \(-0.437600\pi\) |
0.946829 | + | 0.321738i | \(0.104267\pi\) | |||||||
\(128\) | −10.7365 | − | 3.56765i | −0.948979 | − | 0.315339i | ||||
\(129\) | 5.05452 | − | 8.02097i | 0.445026 | − | 0.706207i | ||||
\(130\) | 0.524003 | + | 2.53928i | 0.0459581 | + | 0.222710i | ||||
\(131\) | −2.94977 | + | 1.07363i | −0.257722 | + | 0.0938032i | −0.467650 | − | 0.883914i | \(-0.654899\pi\) |
0.209928 | + | 0.977717i | \(0.432677\pi\) | |||||||
\(132\) | 0.136770 | + | 7.11005i | 0.0119043 | + | 0.618850i | ||||
\(133\) | −0.898197 | − | 5.09393i | −0.0778836 | − | 0.441700i | ||||
\(134\) | −7.21108 | − | 5.70318i | −0.622942 | − | 0.492680i | ||||
\(135\) | 4.29888 | − | 1.01995i | 0.369989 | − | 0.0877831i | ||||
\(136\) | 8.77007 | − | 18.7899i | 0.752027 | − | 1.61122i | ||||
\(137\) | −11.8307 | + | 2.08607i | −1.01077 | + | 0.178225i | −0.654422 | − | 0.756130i | \(-0.727088\pi\) |
−0.356344 | + | 0.934355i | \(0.615977\pi\) | |||||||
\(138\) | 2.22489 | + | 13.3783i | 0.189395 | + | 1.13884i | ||||
\(139\) | −0.983129 | − | 2.70112i | −0.0833879 | − | 0.229106i | 0.890990 | − | 0.454022i | \(-0.150011\pi\) |
−0.974378 | + | 0.224916i | \(0.927789\pi\) | |||||||
\(140\) | 0.778958 | − | 1.55011i | 0.0658340 | − | 0.131008i | ||||
\(141\) | −0.292727 | + | 7.55929i | −0.0246520 | + | 0.636607i | ||||
\(142\) | 14.1083 | − | 8.69980i | 1.18394 | − | 0.730071i | ||||
\(143\) | −2.21319 | − | 3.83335i | −0.185076 | − | 0.320561i | ||||
\(144\) | −2.53672 | − | 11.7288i | −0.211394 | − | 0.977401i | ||||
\(145\) | 1.57225 | − | 2.72322i | 0.130568 | − | 0.226151i | ||||
\(146\) | −0.0630493 | − | 2.17581i | −0.00521799 | − | 0.180071i | ||||
\(147\) | 3.90295 | − | 9.55548i | 0.321910 | − | 0.788123i | ||||
\(148\) | 21.2905 | − | 1.23492i | 1.75007 | − | 0.101510i | ||||
\(149\) | 10.9239 | + | 1.92617i | 0.894918 | + | 0.157798i | 0.602148 | − | 0.798385i | \(-0.294312\pi\) |
0.292770 | + | 0.956183i | \(0.405423\pi\) | |||||||
\(150\) | 10.4760 | + | 0.101992i | 0.855362 | + | 0.00832763i | ||||
\(151\) | 3.78495 | + | 4.51073i | 0.308015 | + | 0.367078i | 0.897740 | − | 0.440527i | \(-0.145208\pi\) |
−0.589725 | + | 0.807604i | \(0.700764\pi\) | |||||||
\(152\) | 8.22158 | + | 11.7506i | 0.666858 | + | 0.953099i | ||||
\(153\) | 21.8900 | − | 2.13274i | 1.76970 | − | 0.172422i | ||||
\(154\) | −0.429591 | + | 2.93035i | −0.0346174 | + | 0.236135i | ||||
\(155\) | −3.74466 | − | 1.36295i | −0.300779 | − | 0.109474i | ||||
\(156\) | 4.91029 | + | 5.62837i | 0.393138 | + | 0.450631i | ||||
\(157\) | −13.5896 | − | 11.4030i | −1.08456 | − | 0.910058i | −0.0882726 | − | 0.996096i | \(-0.528135\pi\) |
−0.996292 | + | 0.0860388i | \(0.972579\pi\) | |||||||
\(158\) | −19.4261 | − | 6.43970i | −1.54546 | − | 0.512315i | ||||
\(159\) | −9.16968 | + | 2.94095i | −0.727203 | + | 0.233233i | ||||
\(160\) | −0.142770 | + | 4.80783i | −0.0112869 | + | 0.380092i | ||||
\(161\) | 5.64820i | 0.445140i | ||||||||
\(162\) | 9.34047 | − | 8.64614i | 0.733856 | − | 0.679305i | ||||
\(163\) | 18.0395i | 1.41296i | 0.707732 | + | 0.706481i | \(0.249718\pi\) | ||||
−0.707732 | + | 0.706481i | \(0.750282\pi\) | |||||||
\(164\) | 3.21579 | + | 7.45993i | 0.251111 | + | 0.582523i | ||||
\(165\) | 2.87891 | − | 0.923339i | 0.224123 | − | 0.0718818i | ||||
\(166\) | 2.34786 | − | 7.08262i | 0.182230 | − | 0.549718i | ||||
\(167\) | 12.3127 | + | 10.3316i | 0.952789 | + | 0.799485i | 0.979765 | − | 0.200151i | \(-0.0641433\pi\) |
−0.0269759 | + | 0.999636i | \(0.508588\pi\) | |||||||
\(168\) | −0.240809 | − | 4.99184i | −0.0185788 | − | 0.385129i | ||||
\(169\) | 7.84725 | + | 2.85617i | 0.603635 | + | 0.219705i | ||||
\(170\) | −8.72246 | − | 1.27872i | −0.668982 | − | 0.0980732i | ||||
\(171\) | −6.29232 | + | 13.8487i | −0.481186 | + | 1.05904i | ||||
\(172\) | −3.14226 | + | 10.4867i | −0.239595 | + | 0.799607i | ||||
\(173\) | 3.51165 | + | 4.18502i | 0.266986 | + | 0.318181i | 0.882835 | − | 0.469683i | \(-0.155632\pi\) |
−0.615850 | + | 0.787864i | \(0.711187\pi\) | |||||||
\(174\) | 0.0881888 | − | 9.05820i | 0.00668557 | − | 0.686700i | ||||
\(175\) | 4.29687 | + | 0.757653i | 0.324813 | + | 0.0572732i | ||||
\(176\) | −2.35132 | − | 7.86765i | −0.177238 | − | 0.593047i | ||||
\(177\) | 7.90476 | − | 19.3530i | 0.594158 | − | 1.45466i | ||||
\(178\) | −5.56891 | + | 0.161372i | −0.417407 | + | 0.0120954i | ||||
\(179\) | −6.73827 | + | 11.6710i | −0.503642 | + | 0.872333i | 0.496349 | + | 0.868123i | \(0.334674\pi\) |
−0.999991 | + | 0.00421032i | \(0.998660\pi\) | |||||||
\(180\) | −4.46705 | + | 2.46436i | −0.332954 | + | 0.183682i | ||||
\(181\) | 7.16955 | + | 12.4180i | 0.532909 | + | 0.923025i | 0.999261 | + | 0.0384262i | \(0.0122345\pi\) |
−0.466353 | + | 0.884599i | \(0.654432\pi\) | |||||||
\(182\) | 1.63274 | + | 2.64778i | 0.121027 | + | 0.196266i | ||||
\(183\) | −0.0358577 | + | 0.925980i | −0.00265068 | + | 0.0684504i | ||||
\(184\) | −6.61316 | − | 14.1953i | −0.487529 | − | 1.04649i | ||||
\(185\) | −3.10100 | − | 8.51994i | −0.227990 | − | 0.626398i | ||||
\(186\) | −11.3243 | + | 1.88330i | −0.830340 | + | 0.138090i | ||||
\(187\) | 14.8214 | − | 2.61342i | 1.08385 | − | 0.191112i | ||||
\(188\) | −2.01246 | − | 8.50028i | −0.146773 | − | 0.619946i | ||||
\(189\) | 4.42806 | − | 2.91391i | 0.322094 | − | 0.211956i | ||||
\(190\) | 3.78220 | − | 4.78219i | 0.274390 | − | 0.346937i | ||||
\(191\) | 1.45788 | + | 8.26803i | 0.105488 | + | 0.598254i | 0.991024 | + | 0.133683i | \(0.0426803\pi\) |
−0.885536 | + | 0.464571i | \(0.846209\pi\) | |||||||
\(192\) | 6.44988 | + | 12.2637i | 0.465480 | + | 0.885058i | ||||
\(193\) | −1.16115 | + | 0.422623i | −0.0835812 | + | 0.0304211i | −0.383472 | − | 0.923552i | \(-0.625272\pi\) |
0.299891 | + | 0.953973i | \(0.403050\pi\) | |||||||
\(194\) | 6.05791 | − | 1.25010i | 0.434933 | − | 0.0897522i | ||||
\(195\) | 1.69297 | − | 2.68657i | 0.121236 | − | 0.192389i | ||||
\(196\) | −1.38650 | + | 11.8377i | −0.0990356 | + | 0.845550i | ||||
\(197\) | 2.53158 | − | 1.46161i | 0.180368 | − | 0.104135i | −0.407098 | − | 0.913385i | \(-0.633459\pi\) |
0.587466 | + | 0.809249i | \(0.300126\pi\) | |||||||
\(198\) | 5.91493 | − | 6.39304i | 0.420355 | − | 0.454333i | ||||
\(199\) | −12.5012 | − | 7.21757i | −0.886186 | − | 0.511640i | −0.0134930 | − | 0.999909i | \(-0.504295\pi\) |
−0.872693 | + | 0.488269i | \(0.837628\pi\) | |||||||
\(200\) | −11.6861 | + | 3.12680i | −0.826335 | + | 0.221098i | ||||
\(201\) | 1.52473 | + | 11.1563i | 0.107546 | + | 0.786908i | ||||
\(202\) | −6.38597 | + | 5.68167i | −0.449316 | + | 0.399761i | ||||
\(203\) | 0.655114 | − | 3.71534i | 0.0459800 | − | 0.260765i | ||||
\(204\) | −23.6930 | + | 9.14334i | −1.65884 | + | 0.640162i | ||||
\(205\) | 2.64567 | − | 2.21998i | 0.184781 | − | 0.155050i | ||||
\(206\) | 0.225014 | − | 0.0893613i | 0.0156775 | − | 0.00622610i | ||||
\(207\) | 9.39256 | − | 13.6994i | 0.652828 | − | 0.952175i | ||||
\(208\) | −7.20359 | − | 4.74281i | −0.499479 | − | 0.328855i | ||||
\(209\) | −3.56005 | + | 9.78114i | −0.246253 | + | 0.676576i | ||||
\(210\) | −2.00356 | + | 0.707224i | −0.138259 | + | 0.0488031i | ||||
\(211\) | 3.58544 | − | 4.27296i | 0.246832 | − | 0.294163i | −0.628376 | − | 0.777910i | \(-0.716280\pi\) |
0.875208 | + | 0.483747i | \(0.160724\pi\) | |||||||
\(212\) | 9.29166 | − | 6.10804i | 0.638154 | − | 0.419502i | ||||
\(213\) | −19.8404 | − | 4.29603i | −1.35944 | − | 0.294359i | ||||
\(214\) | 10.1726 | + | 5.48657i | 0.695383 | + | 0.375055i | ||||
\(215\) | 4.65422 | 0.317415 | ||||||||
\(216\) | −7.71702 | + | 12.5079i | −0.525077 | + | 0.851055i | ||||
\(217\) | −4.78103 | −0.324557 | ||||||||
\(218\) | −23.8759 | − | 12.8775i | −1.61708 | − | 0.872173i | ||||
\(219\) | −1.79137 | + | 1.97438i | −0.121049 | + | 0.133416i | ||||
\(220\) | −2.91720 | + | 1.91767i | −0.196678 | + | 0.129290i | ||||
\(221\) | 10.1608 | − | 12.1092i | 0.683492 | − | 0.814554i | ||||
\(222\) | −19.8441 | − | 16.9831i | −1.33185 | − | 1.13983i | ||||
\(223\) | −4.64768 | + | 12.7694i | −0.311231 | + | 0.855102i | 0.681177 | + | 0.732119i | \(0.261468\pi\) |
−0.992409 | + | 0.122983i | \(0.960754\pi\) | |||||||
\(224\) | 1.81190 | + | 5.47896i | 0.121062 | + | 0.366078i | ||||
\(225\) | −9.16190 | − | 8.98304i | −0.610793 | − | 0.598869i | ||||
\(226\) | −6.53778 | + | 2.59639i | −0.434887 | + | 0.172709i | ||||
\(227\) | 13.7746 | − | 11.5582i | 0.914249 | − | 0.767146i | −0.0586732 | − | 0.998277i | \(-0.518687\pi\) |
0.972923 | + | 0.231131i | \(0.0742426\pi\) | |||||||
\(228\) | 2.71678 | − | 17.3530i | 0.179923 | − | 1.14923i | ||||
\(229\) | 2.41193 | − | 13.6787i | 0.159385 | − | 0.903916i | −0.795282 | − | 0.606240i | \(-0.792677\pi\) |
0.954667 | − | 0.297676i | \(-0.0962117\pi\) | |||||||
\(230\) | −4.97407 | + | 4.42548i | −0.327980 | + | 0.291808i | ||||
\(231\) | 2.86681 | − | 2.22231i | 0.188622 | − | 0.146217i | ||||
\(232\) | 2.70362 | + | 10.1046i | 0.177502 | + | 0.663396i | ||||
\(233\) | 2.12007 | + | 1.22403i | 0.138891 | + | 0.0801886i | 0.567835 | − | 0.823142i | \(-0.307781\pi\) |
−0.428945 | + | 0.903331i | \(0.641114\pi\) | |||||||
\(234\) | 0.442954 | − | 9.13718i | 0.0289568 | − | 0.597316i | ||||
\(235\) | −3.21619 | + | 1.85687i | −0.209801 | + | 0.121129i | ||||
\(236\) | −2.80812 | + | 23.9753i | −0.182793 | + | 1.56066i | ||||
\(237\) | 11.6833 | + | 22.1759i | 0.758911 | + | 1.44048i | ||||
\(238\) | −10.3585 | + | 2.13756i | −0.671440 | + | 0.138557i | ||||
\(239\) | −14.4768 | + | 5.26911i | −0.936424 | + | 0.340831i | −0.764753 | − | 0.644324i | \(-0.777139\pi\) |
−0.171671 | + | 0.985154i | \(0.554917\pi\) | |||||||
\(240\) | 4.20737 | − | 4.12328i | 0.271585 | − | 0.266157i | ||||
\(241\) | 2.02973 | + | 11.5112i | 0.130747 | + | 0.741501i | 0.977728 | + | 0.209878i | \(0.0673067\pi\) |
−0.846981 | + | 0.531623i | \(0.821582\pi\) | |||||||
\(242\) | −5.95295 | + | 7.52688i | −0.382670 | + | 0.483846i | ||||
\(243\) | −15.5856 | − | 0.296022i | −0.999820 | − | 0.0189898i | ||||
\(244\) | −0.246517 | − | 1.04125i | −0.0157816 | − | 0.0666590i | ||||
\(245\) | 4.99015 | − | 0.879897i | 0.318809 | − | 0.0562146i | ||||
\(246\) | 3.49371 | − | 9.31568i | 0.222751 | − | 0.593946i | ||||
\(247\) | 3.73920 | + | 10.2734i | 0.237920 | + | 0.653679i | ||||
\(248\) | 12.0159 | − | 5.59784i | 0.763007 | − | 0.355463i | ||||
\(249\) | −8.08514 | + | 4.25963i | −0.512375 | + | 0.269943i | ||||
\(250\) | 5.85524 | + | 9.49532i | 0.370318 | + | 0.600537i | ||||
\(251\) | 1.74376 | + | 3.02028i | 0.110065 | + | 0.190639i | 0.915796 | − | 0.401643i | \(-0.131561\pi\) |
−0.805731 | + | 0.592281i | \(0.798227\pi\) | |||||||
\(252\) | −4.02495 | + | 4.61135i | −0.253548 | + | 0.290488i | ||||
\(253\) | 5.68306 | − | 9.84335i | 0.357291 | − | 0.618846i | ||||
\(254\) | 21.0001 | − | 0.608528i | 1.31766 | − | 0.0381825i | ||||
\(255\) | 6.61492 | + | 8.53332i | 0.414242 | + | 0.534377i | ||||
\(256\) | −10.9687 | − | 11.6485i | −0.685546 | − | 0.728030i | ||||
\(257\) | −17.5820 | − | 3.10019i | −1.09674 | − | 0.193385i | −0.404132 | − | 0.914701i | \(-0.632426\pi\) |
−0.692606 | + | 0.721316i | \(0.743537\pi\) | |||||||
\(258\) | 11.6762 | − | 6.59053i | 0.726928 | − | 0.410308i | ||||
\(259\) | −6.99218 | − | 8.33295i | −0.434473 | − | 0.517784i | ||||
\(260\) | −1.05248 | + | 3.51246i | −0.0652718 | + | 0.217833i | ||||
\(261\) | −7.76729 | + | 7.92194i | −0.480783 | + | 0.490356i | ||||
\(262\) | −4.39237 | − | 0.643924i | −0.271362 | − | 0.0397818i | ||||
\(263\) | 6.92028 | + | 2.51878i | 0.426723 | + | 0.155314i | 0.546449 | − | 0.837493i | \(-0.315979\pi\) |
−0.119726 | + | 0.992807i | \(0.538202\pi\) | |||||||
\(264\) | −4.60299 | + | 8.94179i | −0.283294 | + | 0.550329i | ||||
\(265\) | −3.62138 | − | 3.03870i | −0.222460 | − | 0.186666i | ||||
\(266\) | 2.30174 | − | 6.94347i | 0.141128 | − | 0.425731i | ||||
\(267\) | 5.05336 | + | 4.58494i | 0.309261 | + | 0.280594i | ||||
\(268\) | −5.14697 | − | 11.9399i | −0.314401 | − | 0.729344i | ||||
\(269\) | − | 0.906912i | − | 0.0552954i | −0.999618 | − | 0.0276477i | \(-0.991198\pi\) | ||
0.999618 | − | 0.0276477i | \(-0.00880165\pi\) | |||||||
\(270\) | 6.03560 | + | 1.61645i | 0.367315 | + | 0.0983739i | ||||
\(271\) | − | 6.71551i | − | 0.407938i | −0.978977 | − | 0.203969i | \(-0.934616\pi\) | ||
0.978977 | − | 0.203969i | \(-0.0653842\pi\) | |||||||
\(272\) | 23.5305 | − | 17.5003i | 1.42675 | − | 1.06111i | ||||
\(273\) | 0.806258 | − | 3.72355i | 0.0487970 | − | 0.225359i | ||||
\(274\) | −16.1263 | − | 5.34581i | −0.974224 | − | 0.322952i | ||||
\(275\) | −6.72600 | − | 5.64378i | −0.405593 | − | 0.340333i | ||||
\(276\) | −6.21198 | + | 18.1458i | −0.373917 | + | 1.09225i | ||||
\(277\) | 1.68312 | + | 0.612607i | 0.101129 | + | 0.0368080i | 0.392089 | − | 0.919927i | \(-0.371752\pi\) |
−0.290960 | + | 0.956735i | \(0.593975\pi\) | |||||||
\(278\) | 0.589647 | − | 4.02213i | 0.0353647 | − | 0.241231i | ||||
\(279\) | 11.5961 | + | 7.95052i | 0.694242 | + | 0.475985i | ||||
\(280\) | 2.01022 | − | 1.40650i | 0.120134 | − | 0.0840544i | ||||
\(281\) | −3.69638 | − | 4.40517i | −0.220508 | − | 0.262791i | 0.644438 | − | 0.764657i | \(-0.277091\pi\) |
−0.864945 | + | 0.501866i | \(0.832647\pi\) | |||||||
\(282\) | −5.43917 | + | 9.21262i | −0.323898 | + | 0.548604i | ||||
\(283\) | −10.1948 | − | 1.79762i | −0.606019 | − | 0.106858i | −0.137785 | − | 0.990462i | \(-0.543998\pi\) |
−0.468234 | + | 0.883605i | \(0.655110\pi\) | |||||||
\(284\) | 23.4013 | − | 1.35735i | 1.38861 | − | 0.0805442i | ||||
\(285\) | −7.39859 | + | 1.01116i | −0.438255 | + | 0.0598961i | ||||
\(286\) | −0.181318 | − | 6.25721i | −0.0107215 | − | 0.369997i | ||||
\(287\) | 2.07179 | − | 3.58844i | 0.122294 | − | 0.211819i | ||||
\(288\) | 4.71647 | − | 16.3020i | 0.277921 | − | 0.960604i | ||||
\(289\) | 18.3734 | + | 31.8236i | 1.08079 | + | 1.87198i | ||||
\(290\) | 3.78520 | − | 2.33412i | 0.222274 | − | 0.137064i | ||||
\(291\) | −6.40928 | − | 4.03890i | −0.375719 | − | 0.236764i | ||||
\(292\) | 1.38222 | − | 2.75058i | 0.0808882 | − | 0.160966i | ||||
\(293\) | −4.28880 | − | 11.7834i | −0.250555 | − | 0.688393i | −0.999663 | − | 0.0259461i | \(-0.991740\pi\) |
0.749109 | − | 0.662447i | \(-0.230482\pi\) | |||||||
\(294\) | 11.2730 | − | 9.27364i | 0.657454 | − | 0.540850i | ||||
\(295\) | 10.1067 | − | 1.78208i | 0.588434 | − | 0.103757i | ||||
\(296\) | 27.3296 | + | 12.7559i | 1.58850 | + | 0.741423i | ||||
\(297\) | −10.6489 | + | 0.622800i | −0.617909 | + | 0.0361385i | ||||
\(298\) | 12.3040 | + | 9.73111i | 0.712750 | + | 0.563708i | ||||
\(299\) | −2.07303 | − | 11.7567i | −0.119886 | − | 0.679910i | ||||
\(300\) | 12.9711 | + | 7.15986i | 0.748889 | + | 0.413375i | ||||
\(301\) | 5.24719 | − | 1.90982i | 0.302443 | − | 0.110080i | ||||
\(302\) | 1.68296 | + | 8.15553i | 0.0968437 | + | 0.469298i | ||||
\(303\) | 10.4608 | + | 0.405086i | 0.600959 | + | 0.0232716i | ||||
\(304\) | 2.34491 | + | 20.1456i | 0.134490 | + | 1.15543i | ||||
\(305\) | −0.393969 | + | 0.227458i | −0.0225586 | + | 0.0130242i | ||||
\(306\) | 28.6785 | + | 12.0409i | 1.63944 | + | 0.688331i | ||||
\(307\) | −23.0184 | − | 13.2897i | −1.31373 | − | 0.758482i | −0.331017 | − | 0.943625i | \(-0.607392\pi\) |
−0.982712 | + | 0.185143i | \(0.940725\pi\) | |||||||
\(308\) | −2.50197 | + | 3.35905i | −0.142563 | + | 0.191399i | ||||
\(309\) | −0.274507 | − | 0.112123i | −0.0156161 | − | 0.00637843i | ||||
\(310\) | −3.74604 | − | 4.21040i | −0.212760 | − | 0.239135i | ||||
\(311\) | 3.84093 | − | 21.7830i | 0.217799 | − | 1.23520i | −0.658184 | − | 0.752857i | \(-0.728675\pi\) |
0.875983 | − | 0.482342i | \(-0.160214\pi\) | |||||||
\(312\) | 2.33338 | + | 10.3022i | 0.132101 | + | 0.583245i | ||||
\(313\) | −4.20542 | + | 3.52877i | −0.237705 | + | 0.199458i | −0.753856 | − | 0.657039i | \(-0.771809\pi\) |
0.516152 | + | 0.856497i | \(0.327364\pi\) | |||||||
\(314\) | −9.25986 | − | 23.3166i | −0.522564 | − | 1.31583i | ||||
\(315\) | 2.36915 | + | 1.07645i | 0.133487 | + | 0.0606512i | ||||
\(316\) | −19.8568 | − | 21.0570i | −1.11703 | − | 1.18455i | ||||
\(317\) | 6.85935 | − | 18.8459i | 0.385260 | − | 1.05849i | −0.583850 | − | 0.811862i | \(-0.698454\pi\) |
0.969110 | − | 0.246631i | \(-0.0793235\pi\) | |||||||
\(318\) | −13.3880 | − | 2.49529i | −0.750761 | − | 0.139929i | ||||
\(319\) | −4.87996 | + | 5.81571i | −0.273225 | + | 0.325617i | ||||
\(320\) | −3.40537 | + | 5.88852i | −0.190366 | + | 0.329178i | ||||
\(321\) | −4.32310 | − | 13.4791i | −0.241292 | − | 0.752331i | ||||
\(322\) | −3.79183 | + | 7.03038i | −0.211311 | + | 0.391788i | ||||
\(323\) | −37.1721 | −2.06831 | ||||||||
\(324\) | 17.4307 | − | 4.49137i | 0.968369 | − | 0.249521i | ||||
\(325\) | −9.22202 | −0.511546 | ||||||||
\(326\) | −12.1105 | + | 22.4540i | −0.670740 | + | 1.24361i | ||||
\(327\) | 10.1467 | + | 31.6367i | 0.561114 | + | 1.74951i | ||||
\(328\) | −1.00539 | + | 11.4443i | −0.0555131 | + | 0.631908i | ||||
\(329\) | −2.86400 | + | 3.41318i | −0.157897 | + | 0.188175i | ||||
\(330\) | 4.20328 | + | 0.783419i | 0.231383 | + | 0.0431258i | ||||
\(331\) | 7.99263 | − | 21.9596i | 0.439315 | − | 1.20701i | −0.500624 | − | 0.865665i | \(-0.666896\pi\) |
0.939939 | − | 0.341343i | \(-0.110882\pi\) | |||||||
\(332\) | 7.67723 | − | 7.23962i | 0.421343 | − | 0.397326i | ||||
\(333\) | 3.10204 | + | 31.8386i | 0.169991 | + | 1.74475i | ||||
\(334\) | 8.38985 | + | 21.1259i | 0.459072 | + | 1.15596i | ||||
\(335\) | −4.23448 | + | 3.55315i | −0.231354 | + | 0.194129i | ||||
\(336\) | 3.05146 | − | 6.37507i | 0.166471 | − | 0.347789i | ||||
\(337\) | 1.10728 | − | 6.27969i | 0.0603173 | − | 0.342076i | −0.939683 | − | 0.342047i | \(-0.888880\pi\) |
1.00000 | 2.90332e-5i | \(-9.24155e-6\pi\) | ||||||||
\(338\) | 7.85013 | + | 8.82324i | 0.426991 | + | 0.479921i | ||||
\(339\) | 7.97578 | + | 3.25772i | 0.433185 | + | 0.176935i | ||||
\(340\) | −9.99851 | − | 7.44733i | −0.542245 | − | 0.403888i | ||||
\(341\) | 8.33210 | + | 4.81054i | 0.451208 | + | 0.260505i | ||||
\(342\) | −17.1292 | + | 13.0134i | −0.926244 | + | 0.703684i | ||||
\(343\) | 11.4491 | − | 6.61016i | 0.618195 | − | 0.356915i | ||||
\(344\) | −10.9513 | + | 10.9435i | −0.590456 | + | 0.590033i | ||||
\(345\) | 8.14799 | + | 0.315524i | 0.438673 | + | 0.0169872i | ||||
\(346\) | 1.56144 | + | 7.56664i | 0.0839436 | + | 0.406785i | ||||
\(347\) | 15.1793 | − | 5.52480i | 0.814866 | − | 0.296587i | 0.0992334 | − | 0.995064i | \(-0.468361\pi\) |
0.715632 | + | 0.698477i | \(0.246139\pi\) | |||||||
\(348\) | 6.19085 | − | 11.2156i | 0.331865 | − | 0.601222i | ||||
\(349\) | −3.65392 | − | 20.7224i | −0.195590 | − | 1.10925i | −0.911576 | − | 0.411132i | \(-0.865134\pi\) |
0.715986 | − | 0.698115i | \(-0.245978\pi\) | |||||||
\(350\) | 4.83972 | + | 3.82770i | 0.258694 | + | 0.204599i | ||||
\(351\) | −8.14754 | + | 7.69052i | −0.434884 | + | 0.410490i | ||||
\(352\) | 2.35511 | − | 11.3715i | 0.125528 | − | 0.606103i | ||||
\(353\) | −9.47086 | + | 1.66997i | −0.504083 | + | 0.0888834i | −0.419906 | − | 0.907567i | \(-0.637937\pi\) |
−0.0841766 | + | 0.996451i | \(0.526826\pi\) | |||||||
\(354\) | 22.8315 | − | 18.7822i | 1.21348 | − | 0.998262i | ||||
\(355\) | −3.40844 | − | 9.36462i | −0.180901 | − | 0.497022i | ||||
\(356\) | −7.04002 | − | 3.53774i | −0.373120 | − | 0.187500i | ||||
\(357\) | 10.9593 | + | 6.90613i | 0.580027 | + | 0.365511i | ||||
\(358\) | −16.2224 | + | 10.0034i | −0.857379 | + | 0.528698i | ||||
\(359\) | 7.01604 | + | 12.1521i | 0.370292 | + | 0.641365i | 0.989610 | − | 0.143775i | \(-0.0459242\pi\) |
−0.619318 | + | 0.785140i | \(0.712591\pi\) | |||||||
\(360\) | −7.21460 | + | 0.0685286i | −0.380243 | + | 0.00361177i | ||||
\(361\) | 3.35443 | − | 5.81005i | 0.176549 | − | 0.305792i | ||||
\(362\) | 0.587373 | + | 20.2701i | 0.0308717 | + | 1.06537i | ||||
\(363\) | 11.6449 | − | 1.59151i | 0.611201 | − | 0.0835326i | ||||
\(364\) | 0.254742 | + | 4.39184i | 0.0133521 | + | 0.230195i | ||||
\(365\) | −1.28886 | − | 0.227260i | −0.0674619 | − | 0.0118954i | ||||
\(366\) | −0.666275 | + | 1.12851i | −0.0348268 | + | 0.0589880i | ||||
\(367\) | −23.8419 | − | 28.4137i | −1.24454 | − | 1.48318i | −0.814276 | − | 0.580478i | \(-0.802866\pi\) |
−0.430261 | − | 0.902704i | \(-0.641579\pi\) | |||||||
\(368\) | 1.29829 | − | 22.1087i | 0.0676780 | − | 1.15249i | ||||
\(369\) | −10.9923 | + | 5.25834i | −0.572239 | + | 0.273738i | ||||
\(370\) | 1.85987 | − | 12.6867i | 0.0966903 | − | 0.659549i | ||||
\(371\) | −5.32967 | − | 1.93984i | −0.276703 | − | 0.100712i | ||||
\(372\) | −15.3599 | − | 5.25825i | −0.796372 | − | 0.272628i | ||||
\(373\) | 21.7187 | + | 18.2242i | 1.12455 | + | 0.943611i | 0.998825 | − | 0.0484536i | \(-0.0154293\pi\) |
0.125727 | + | 0.992065i | \(0.459874\pi\) | |||||||
\(374\) | 20.2029 | + | 6.69719i | 1.04467 | + | 0.346303i | ||||
\(375\) | 2.89136 | − | 13.3532i | 0.149309 | − | 0.689555i | ||||
\(376\) | 3.20160 | − | 11.9314i | 0.165110 | − | 0.615317i | ||||
\(377\) | 7.97393i | 0.410678i | ||||||||
\(378\) | 7.46786 | − | 0.654267i | 0.384105 | − | 0.0336519i | ||||
\(379\) | 15.3245i | 0.787168i | 0.919289 | + | 0.393584i | \(0.128765\pi\) | ||||
−0.919289 | + | 0.393584i | \(0.871235\pi\) | |||||||
\(380\) | 7.91820 | − | 3.41334i | 0.406195 | − | 0.175100i | ||||
\(381\) | −19.0560 | − | 17.2896i | −0.976269 | − | 0.885774i | ||||
\(382\) | −3.73598 | + | 11.2700i | −0.191149 | + | 0.576626i | ||||
\(383\) | −28.1952 | − | 23.6586i | −1.44071 | − | 1.20890i | −0.939028 | − | 0.343841i | \(-0.888272\pi\) |
−0.501678 | − | 0.865055i | \(-0.667284\pi\) | |||||||
\(384\) | −0.204826 | + | 19.5948i | −0.0104525 | + | 0.999945i | ||||
\(385\) | 1.67330 | + | 0.609031i | 0.0852792 | + | 0.0310391i | ||||
\(386\) | −1.72902 | − | 0.253475i | −0.0880046 | − | 0.0129015i | ||||
\(387\) | −15.9027 | − | 4.09354i | −0.808379 | − | 0.208087i | ||||
\(388\) | 8.37960 | + | 2.51087i | 0.425410 | + | 0.127470i | ||||
\(389\) | −5.77806 | − | 6.88602i | −0.292959 | − | 0.349135i | 0.599409 | − | 0.800443i | \(-0.295402\pi\) |
−0.892369 | + | 0.451307i | \(0.850958\pi\) | |||||||
\(390\) | 3.91085 | − | 2.20745i | 0.198034 | − | 0.111778i | ||||
\(391\) | 39.9740 | + | 7.04849i | 2.02157 | + | 0.356457i | ||||
\(392\) | −9.67286 | + | 13.8037i | −0.488553 | + | 0.697194i | ||||
\(393\) | 3.33108 | + | 4.29713i | 0.168031 | + | 0.216761i | ||||
\(394\) | 4.13232 | − | 0.119744i | 0.208184 | − | 0.00603262i | ||||
\(395\) | −6.15244 | + | 10.6563i | −0.309563 | + | 0.536178i | ||||
\(396\) | 11.6543 | − | 3.98660i | 0.585648 | − | 0.200334i | ||||
\(397\) | −2.35735 | − | 4.08305i | −0.118312 | − | 0.204922i | 0.800787 | − | 0.598949i | \(-0.204415\pi\) |
−0.919099 | + | 0.394027i | \(0.871082\pi\) | |||||||
\(398\) | −10.7150 | − | 17.3763i | −0.537094 | − | 0.870994i | ||||
\(399\) | −7.92629 | + | 4.17594i | −0.396811 | + | 0.209059i | ||||
\(400\) | −16.6450 | − | 3.95335i | −0.832250 | − | 0.197667i | ||||
\(401\) | 5.87724 | + | 16.1476i | 0.293495 | + | 0.806372i | 0.995549 | + | 0.0942475i | \(0.0300445\pi\) |
−0.702053 | + | 0.712124i | \(0.747733\pi\) | |||||||
\(402\) | −5.59179 | + | 14.9101i | −0.278893 | + | 0.743646i | ||||
\(403\) | 9.95173 | − | 1.75476i | 0.495731 | − | 0.0874107i | ||||
\(404\) | −11.7630 | + | 2.78491i | −0.585231 | + | 0.138555i | ||||
\(405\) | −3.95619 | − | 6.55062i | −0.196585 | − | 0.325503i | ||||
\(406\) | 3.30966 | − | 4.18472i | 0.164256 | − | 0.207684i | ||||
\(407\) | 3.80117 | + | 21.5575i | 0.188417 | + | 1.06857i | ||||
\(408\) | −35.6293 | − | 4.52514i | −1.76391 | − | 0.224028i | ||||
\(409\) | 18.1511 | − | 6.60646i | 0.897514 | − | 0.326668i | 0.148258 | − | 0.988949i | \(-0.452633\pi\) |
0.749256 | + | 0.662280i | \(0.230411\pi\) | |||||||
\(410\) | 4.78344 | − | 0.987105i | 0.236237 | − | 0.0487496i | ||||
\(411\) | 9.69868 | + | 18.4089i | 0.478400 | + | 0.908044i | ||||
\(412\) | 0.340070 | + | 0.0398308i | 0.0167540 | + | 0.00196233i | ||||
\(413\) | 10.6631 | − | 6.15633i | 0.524696 | − | 0.302933i | ||||
\(414\) | 20.8879 | − | 10.7463i | 1.02659 | − | 0.528150i | ||||
\(415\) | −3.88522 | − | 2.24313i | −0.190718 | − | 0.110111i | ||||
\(416\) | −5.78239 | − | 10.7395i | −0.283505 | − | 0.526546i | ||||
\(417\) | −3.93491 | + | 3.05029i | −0.192694 | + | 0.149374i | ||||
\(418\) | −10.9977 | + | 9.78473i | −0.537913 | + | 0.478587i | ||||
\(419\) | −2.66451 | + | 15.1112i | −0.130170 | + | 0.738230i | 0.847932 | + | 0.530105i | \(0.177847\pi\) |
−0.978102 | + | 0.208126i | \(0.933264\pi\) | |||||||
\(420\) | −2.96864 | − | 0.464770i | −0.144855 | − | 0.0226785i | ||||
\(421\) | −17.8213 | + | 14.9539i | −0.868558 | + | 0.728807i | −0.963794 | − | 0.266648i | \(-0.914084\pi\) |
0.0952359 | + | 0.995455i | \(0.469639\pi\) | |||||||
\(422\) | 7.33143 | − | 2.91158i | 0.356889 | − | 0.141733i | ||||
\(423\) | 12.6224 | − | 3.51586i | 0.613721 | − | 0.170947i | ||||
\(424\) | 15.6660 | − | 1.36494i | 0.760808 | − | 0.0662871i | ||||
\(425\) | 10.7243 | − | 29.4647i | 0.520204 | − | 1.42925i | ||||
\(426\) | −21.8115 | − | 18.6669i | −1.05677 | − | 0.904412i | ||||
\(427\) | −0.350828 | + | 0.418100i | −0.0169777 | + | 0.0202333i | ||||
\(428\) | 8.97860 | + | 13.6584i | 0.433997 | + | 0.660204i | ||||
\(429\) | −5.15163 | + | 5.67795i | −0.248723 | + | 0.274134i | ||||
\(430\) | 5.79316 | + | 3.12454i | 0.279371 | + | 0.150679i | ||||
\(431\) | 16.8732 | 0.812754 | 0.406377 | − | 0.913706i | \(-0.366792\pi\) | ||||
0.406377 | + | 0.913706i | \(0.366792\pi\) | |||||||
\(432\) | −18.0025 | + | 10.3880i | −0.866144 | + | 0.499795i | ||||
\(433\) | −2.79450 | −0.134295 | −0.0671475 | − | 0.997743i | \(-0.521390\pi\) | ||||
−0.0671475 | + | 0.997743i | \(0.521390\pi\) | |||||||
\(434\) | −5.95100 | − | 3.20967i | −0.285657 | − | 0.154069i | ||||
\(435\) | −5.32309 | − | 1.15261i | −0.255222 | − | 0.0552632i | ||||
\(436\) | −21.0736 | − | 32.0575i | −1.00924 | − | 1.53528i | ||||
\(437\) | −18.0451 | + | 21.5053i | −0.863213 | + | 1.02874i | ||||
\(438\) | −3.55521 | + | 1.25493i | −0.169874 | + | 0.0599629i | ||||
\(439\) | −1.92679 | + | 5.29380i | −0.0919605 | + | 0.252659i | −0.977142 | − | 0.212586i | \(-0.931812\pi\) |
0.885182 | + | 0.465245i | \(0.154034\pi\) | |||||||
\(440\) | −4.91848 | + | 0.428534i | −0.234479 | + | 0.0204296i | ||||
\(441\) | −17.8244 | − | 1.38254i | −0.848781 | − | 0.0658353i | ||||
\(442\) | 20.7767 | − | 8.25116i | 0.988245 | − | 0.392468i | ||||
\(443\) | −4.19281 | + | 3.51819i | −0.199206 | + | 0.167154i | −0.736934 | − | 0.675964i | \(-0.763727\pi\) |
0.537728 | + | 0.843119i | \(0.319283\pi\) | |||||||
\(444\) | −13.2988 | − | 34.4611i | −0.631135 | − | 1.63545i | ||||
\(445\) | −0.581665 | + | 3.29879i | −0.0275736 | + | 0.156377i | ||||
\(446\) | −14.3576 | + | 12.7741i | −0.679850 | + | 0.604870i | ||||
\(447\) | −2.60159 | − | 19.0356i | −0.123051 | − | 0.900354i | ||||
\(448\) | −1.42293 | + | 8.03612i | −0.0672270 | + | 0.379671i | ||||
\(449\) | −21.3460 | − | 12.3241i | −1.00738 | − | 0.581612i | −0.0969581 | − | 0.995288i | \(-0.530911\pi\) |
−0.910424 | + | 0.413676i | \(0.864245\pi\) | |||||||
\(450\) | −5.37330 | − | 17.3320i | −0.253300 | − | 0.817039i | ||||
\(451\) | −7.22118 | + | 4.16915i | −0.340032 | + | 0.196318i | ||||
\(452\) | −9.88071 | − | 1.15728i | −0.464749 | − | 0.0544340i | ||||
\(453\) | 5.43740 | − | 8.62856i | 0.255471 | − | 0.405405i | ||||
\(454\) | 24.9048 | − | 5.13932i | 1.16884 | − | 0.241200i | ||||
\(455\) | 1.75751 | − | 0.639680i | 0.0823932 | − | 0.0299887i | ||||
\(456\) | 15.0313 | − | 19.7756i | 0.703903 | − | 0.926077i | ||||
\(457\) | −1.98007 | − | 11.2295i | −0.0926236 | − | 0.525294i | −0.995450 | − | 0.0952886i | \(-0.969623\pi\) |
0.902826 | − | 0.430006i | \(-0.141489\pi\) | |||||||
\(458\) | 12.1852 | − | 15.4069i | 0.569376 | − | 0.719916i | ||||
\(459\) | −15.0967 | − | 34.9750i | −0.704655 | − | 1.63249i | ||||
\(460\) | −9.16227 | + | 2.16918i | −0.427193 | + | 0.101139i | ||||
\(461\) | 18.4150 | − | 3.24705i | 0.857670 | − | 0.151230i | 0.272515 | − | 0.962152i | \(-0.412145\pi\) |
0.585155 | + | 0.810921i | \(0.301034\pi\) | |||||||
\(462\) | 5.06027 | − | 0.841552i | 0.235425 | − | 0.0391525i | ||||
\(463\) | 12.1162 | + | 33.2889i | 0.563086 | + | 1.54707i | 0.815086 | + | 0.579340i | \(0.196690\pi\) |
−0.252000 | + | 0.967727i | \(0.581088\pi\) | |||||||
\(464\) | −3.41831 | + | 14.3923i | −0.158691 | + | 0.668146i | ||||
\(465\) | −0.267081 | + | 6.89703i | −0.0123856 | + | 0.319842i | ||||
\(466\) | 1.81715 | + | 2.94684i | 0.0841779 | + | 0.136510i | ||||
\(467\) | −1.62531 | − | 2.81512i | −0.0752103 | − | 0.130268i | 0.825967 | − | 0.563718i | \(-0.190629\pi\) |
−0.901178 | + | 0.433450i | \(0.857296\pi\) | |||||||
\(468\) | 6.68546 | − | 11.0758i | 0.309036 | − | 0.511979i | ||||
\(469\) | −3.31596 | + | 5.74342i | −0.153117 | + | 0.265206i | ||||
\(470\) | −5.24981 | + | 0.152126i | −0.242156 | + | 0.00701705i | ||||
\(471\) | −11.6184 | + | 28.4451i | −0.535349 | + | 1.31068i | ||||
\(472\) | −19.5907 | + | 27.9571i | −0.901736 | + | 1.28683i | ||||
\(473\) | −11.0661 | − | 1.95125i | −0.508820 | − | 0.0897187i | ||||
\(474\) | −0.345095 | + | 35.4460i | −0.0158507 | + | 1.62809i | ||||
\(475\) | 13.9396 | + | 16.6125i | 0.639591 | + | 0.762235i | ||||
\(476\) | −14.3283 | − | 4.29335i | −0.656738 | − | 0.196786i | ||||
\(477\) | 9.70102 | + | 13.5679i | 0.444179 | + | 0.621230i | ||||
\(478\) | −21.5568 | − | 3.16023i | −0.985983 | − | 0.144546i | ||||
\(479\) | 36.5463 | + | 13.3018i | 1.66984 | + | 0.607774i | 0.991864 | − | 0.127306i | \(-0.0406329\pi\) |
0.677981 | + | 0.735079i | \(0.262855\pi\) | |||||||
\(480\) | 8.00507 | − | 2.30774i | 0.365380 | − | 0.105333i | ||||
\(481\) | 17.6126 | + | 14.7788i | 0.803068 | + | 0.673854i | ||||
\(482\) | −5.20143 | + | 15.6908i | −0.236919 | + | 0.714695i | ||||
\(483\) | 9.31556 | − | 2.98774i | 0.423873 | − | 0.135947i | ||||
\(484\) | −12.4628 | + | 5.37238i | −0.566490 | + | 0.244199i | ||||
\(485\) | − | 3.71903i | − | 0.168872i | ||||||
\(486\) | −19.2009 | − | 10.8317i | −0.870971 | − | 0.491334i | ||||
\(487\) | 14.4854i | 0.656395i | 0.944609 | + | 0.328198i | \(0.106441\pi\) | ||||
−0.944609 | + | 0.328198i | \(0.893559\pi\) | |||||||
\(488\) | 0.392183 | − | 1.46155i | 0.0177533 | − | 0.0661612i | ||||
\(489\) | 29.7525 | − | 9.54239i | 1.34545 | − | 0.431522i | ||||
\(490\) | 6.80200 | + | 2.25484i | 0.307283 | + | 0.101863i | ||||
\(491\) | 5.58619 | + | 4.68737i | 0.252101 | + | 0.211538i | 0.760076 | − | 0.649834i | \(-0.225161\pi\) |
−0.507975 | + | 0.861372i | \(0.669606\pi\) | |||||||
\(492\) | 10.6026 | − | 9.24989i | 0.478002 | − | 0.417017i | ||||
\(493\) | −25.4770 | − | 9.27287i | −1.14743 | − | 0.417629i | ||||
\(494\) | −2.24264 | + | 15.2977i | −0.100901 | + | 0.688274i | ||||
\(495\) | −3.04572 | − | 4.25976i | −0.136895 | − | 0.191462i | ||||
\(496\) | 18.7143 | + | 1.09896i | 0.840297 | + | 0.0493449i | ||||
\(497\) | −7.68539 | − | 9.15909i | −0.344737 | − | 0.410842i | ||||
\(498\) | −12.9233 | − | 0.125819i | −0.579108 | − | 0.00563807i | ||||
\(499\) | −14.1578 | − | 2.49639i | −0.633788 | − | 0.111754i | −0.152482 | − | 0.988306i | \(-0.548726\pi\) |
−0.481307 | + | 0.876552i | \(0.659838\pi\) | |||||||
\(500\) | 0.913542 | + | 15.7498i | 0.0408548 | + | 0.704351i | ||||
\(501\) | 10.5268 | − | 25.7726i | 0.470304 | − | 1.15143i | ||||
\(502\) | 0.142859 | + | 4.93003i | 0.00637613 | + | 0.220038i | ||||
\(503\) | −9.08769 | + | 15.7403i | −0.405200 | + | 0.701827i | −0.994345 | − | 0.106200i | \(-0.966132\pi\) |
0.589145 | + | 0.808028i | \(0.299465\pi\) | |||||||
\(504\) | −8.10566 | + | 3.03771i | −0.361055 | + | 0.135310i | ||||
\(505\) | 2.56961 | + | 4.45069i | 0.114346 | + | 0.198053i | ||||
\(506\) | 13.6820 | − | 8.43690i | 0.608237 | − | 0.375066i | ||||
\(507\) | 0.559691 | − | 14.4533i | 0.0248568 | − | 0.641894i | ||||
\(508\) | 26.5476 | + | 13.3407i | 1.17786 | + | 0.591896i | ||||
\(509\) | 6.60337 | + | 18.1426i | 0.292689 | + | 0.804157i | 0.995671 | + | 0.0929491i | \(0.0296294\pi\) |
−0.702982 | + | 0.711208i | \(0.748148\pi\) | |||||||
\(510\) | 2.50496 | + | 15.0624i | 0.110921 | + | 0.666973i | ||||
\(511\) | −1.54632 | + | 0.272658i | −0.0684052 | + | 0.0120617i | ||||
\(512\) | −5.83289 | − | 21.8627i | −0.257780 | − | 0.966204i | ||||
\(513\) | 26.1691 | + | 3.05234i | 1.15539 | + | 0.134764i | ||||
\(514\) | −19.8033 | − | 15.6623i | −0.873487 | − | 0.690834i | ||||
\(515\) | −0.0252774 | − | 0.143355i | −0.00111386 | − | 0.00631699i | ||||
\(516\) | 18.9579 | − | 0.364678i | 0.834577 | − | 0.0160541i | ||||
\(517\) | 8.42546 | − | 3.06662i | 0.370551 | − | 0.134870i | ||||
\(518\) | −3.10905 | − | 15.0662i | −0.136604 | − | 0.661972i | ||||
\(519\) | 5.04478 | − | 8.00552i | 0.221441 | − | 0.351403i | ||||
\(520\) | −3.66807 | + | 3.66544i | −0.160855 | + | 0.160740i | ||||
\(521\) | 24.7853 | − | 14.3098i | 1.08586 | − | 0.626924i | 0.153392 | − | 0.988165i | \(-0.450980\pi\) |
0.932472 | + | 0.361241i | \(0.117647\pi\) | |||||||
\(522\) | −14.9863 | + | 4.64609i | −0.655934 | + | 0.203354i | ||||
\(523\) | 10.5509 | + | 6.09156i | 0.461359 | + | 0.266365i | 0.712615 | − | 0.701555i | \(-0.247511\pi\) |
−0.251257 | + | 0.967920i | \(0.580844\pi\) | |||||||
\(524\) | −5.03495 | − | 3.75025i | −0.219953 | − | 0.163831i | ||||
\(525\) | −1.02333 | − | 7.48760i | −0.0446617 | − | 0.326785i | ||||
\(526\) | 6.92282 | + | 7.78098i | 0.301849 | + | 0.339267i | ||||
\(527\) | −5.96633 | + | 33.8368i | −0.259898 | + | 1.47395i | ||||
\(528\) | −11.7323 | + | 8.03981i | −0.510584 | + | 0.349888i | ||||
\(529\) | 5.86398 | − | 4.92046i | 0.254956 | − | 0.213933i | ||||
\(530\) | −2.46759 | − | 6.21347i | −0.107185 | − | 0.269896i | ||||
\(531\) | −36.1003 | − | 2.80010i | −1.56662 | − | 0.121514i | ||||
\(532\) | 7.52639 | − | 7.09738i | 0.326310 | − | 0.307711i | ||||
\(533\) | −2.99539 | + | 8.22975i | −0.129745 | + | 0.356470i | ||||
\(534\) | 3.21195 | + | 9.09943i | 0.138995 | + | 0.393771i | ||||
\(535\) | 4.46679 | − | 5.32331i | 0.193116 | − | 0.230147i | ||||
\(536\) | 1.60915 | − | 18.3171i | 0.0695048 | − | 0.791176i | ||||
\(537\) | 22.8134 | + | 4.93977i | 0.984470 | + | 0.213167i | ||||
\(538\) | 0.608842 | − | 1.12884i | 0.0262490 | − | 0.0486679i | ||||
\(539\) | −12.2337 | −0.526944 | ||||||||
\(540\) | 6.42741 | + | 6.06392i | 0.276592 | + | 0.260950i | ||||
\(541\) | 6.27951 | 0.269977 | 0.134989 | − | 0.990847i | \(-0.456900\pi\) | ||||
0.134989 | + | 0.990847i | \(0.456900\pi\) | |||||||
\(542\) | 4.50836 | − | 8.35888i | 0.193651 | − | 0.359045i | ||||
\(543\) | 16.6886 | − | 18.3935i | 0.716174 | − | 0.789342i | ||||
\(544\) | 41.0373 | − | 5.98603i | 1.75946 | − | 0.256649i | ||||
\(545\) | −10.4839 | + | 12.4943i | −0.449083 | + | 0.535196i | ||||
\(546\) | 3.50331 | − | 4.09348i | 0.149928 | − | 0.175185i | ||||
\(547\) | 8.59471 | − | 23.6138i | 0.367483 | − | 1.00965i | −0.608832 | − | 0.793299i | \(-0.708362\pi\) |
0.976315 | − | 0.216353i | \(-0.0694162\pi\) | |||||||
\(548\) | −16.4838 | − | 17.4801i | −0.704151 | − | 0.746714i | ||||
\(549\) | 1.54619 | − | 0.430678i | 0.0659896 | − | 0.0183809i | ||||
\(550\) | −4.58307 | − | 11.5403i | −0.195423 | − | 0.492079i | ||||
\(551\) | 14.3642 | − | 12.0530i | 0.611936 | − | 0.513476i | ||||
\(552\) | −19.9140 | + | 18.4160i | −0.847598 | + | 0.783836i | ||||
\(553\) | −2.56355 | + | 14.5386i | −0.109013 | + | 0.618245i | ||||
\(554\) | 1.68374 | + | 1.89246i | 0.0715353 | + | 0.0804029i | ||||
\(555\) | −12.4116 | + | 9.62130i | −0.526842 | + | 0.408401i | ||||
\(556\) | 3.43414 | − | 4.61055i | 0.145640 | − | 0.195531i | ||||
\(557\) | 17.6052 | + | 10.1644i | 0.745958 | + | 0.430679i | 0.824232 | − | 0.566253i | \(-0.191607\pi\) |
−0.0782737 | + | 0.996932i | \(0.524941\pi\) | |||||||
\(558\) | 9.09639 | + | 17.6810i | 0.385081 | + | 0.748496i | ||||
\(559\) | −10.2211 | + | 5.90115i | −0.432306 | + | 0.249592i | ||||
\(560\) | 3.44638 | − | 0.401154i | 0.145636 | − | 0.0169518i | ||||
\(561\) | −12.1504 | − | 23.0625i | −0.512992 | − | 0.973701i | ||||
\(562\) | −1.64358 | − | 7.96468i | −0.0693303 | − | 0.335970i | ||||
\(563\) | 33.7274 | − | 12.2758i | 1.42144 | − | 0.517362i | 0.486976 | − | 0.873416i | \(-0.338100\pi\) |
0.934466 | + | 0.356053i | \(0.115878\pi\) | |||||||
\(564\) | −12.9550 | + | 7.81556i | −0.545502 | + | 0.329094i | ||||
\(565\) | 0.734434 | + | 4.16518i | 0.0308979 | + | 0.175230i | ||||
\(566\) | −11.4828 | − | 9.08166i | −0.482659 | − | 0.381731i | ||||
\(567\) | −7.14822 | − | 5.76181i | −0.300197 | − | 0.241973i | ||||
\(568\) | 30.0391 | + | 14.0206i | 1.26041 | + | 0.588290i | ||||
\(569\) | 37.1364 | − | 6.54816i | 1.55684 | − | 0.274513i | 0.672051 | − | 0.740505i | \(-0.265413\pi\) |
0.884789 | + | 0.465992i | \(0.154302\pi\) | |||||||
\(570\) | −9.88795 | − | 3.70833i | −0.414161 | − | 0.155325i | ||||
\(571\) | −4.67247 | − | 12.8375i | −0.195537 | − | 0.537233i | 0.802713 | − | 0.596365i | \(-0.203389\pi\) |
−0.998250 | + | 0.0591320i | \(0.981167\pi\) | |||||||
\(572\) | 3.97500 | − | 7.91016i | 0.166203 | − | 0.330740i | ||||
\(573\) | 12.8653 | − | 6.77804i | 0.537455 | − | 0.283157i | ||||
\(574\) | 4.98783 | − | 3.07571i | 0.208188 | − | 0.128378i | ||||
\(575\) | −11.8402 | − | 20.5079i | −0.493772 | − | 0.855238i | ||||
\(576\) | 16.8148 | − | 17.1250i | 0.700615 | − | 0.713540i | ||||
\(577\) | 8.52845 | − | 14.7717i | 0.355044 | − | 0.614954i | −0.632082 | − | 0.774902i | \(-0.717799\pi\) |
0.987125 | + | 0.159948i | \(0.0511326\pi\) | |||||||
\(578\) | 1.50526 | + | 51.9459i | 0.0626104 | + | 2.16067i | ||||
\(579\) | 1.31125 | + | 1.69152i | 0.0544935 | + | 0.0702973i | ||||
\(580\) | 6.27846 | − | 0.364172i | 0.260699 | − | 0.0151214i | ||||
\(581\) | −5.30066 | − | 0.934650i | −0.219909 | − | 0.0387758i | ||||
\(582\) | −5.26626 | − | 9.33004i | −0.218294 | − | 0.386743i | ||||
\(583\) | 7.33643 | + | 8.74322i | 0.303844 | + | 0.362107i | ||||
\(584\) | 3.56703 | − | 2.49575i | 0.147605 | − | 0.103275i | ||||
\(585\) | −5.32649 | − | 1.37110i | −0.220223 | − | 0.0566881i | ||||
\(586\) | 2.57228 | − | 17.5462i | 0.106260 | − | 0.724825i | ||||
\(587\) | −5.94463 | − | 2.16367i | −0.245361 | − | 0.0893041i | 0.216412 | − | 0.976302i | \(-0.430564\pi\) |
−0.461773 | + | 0.886998i | \(0.652787\pi\) | |||||||
\(588\) | 20.2573 | − | 3.97507i | 0.835399 | − | 0.163929i | ||||
\(589\) | −18.2036 | − | 15.2746i | −0.750065 | − | 0.629379i | ||||
\(590\) | 13.7763 | + | 4.56680i | 0.567161 | + | 0.188012i | ||||
\(591\) | −3.74977 | − | 3.40219i | −0.154245 | − | 0.139947i | ||||
\(592\) | 25.4540 | + | 34.2248i | 1.04615 | + | 1.40663i | ||||
\(593\) | 28.7935i | 1.18241i | 0.806523 | + | 0.591203i | \(0.201347\pi\) | ||||
−0.806523 | + | 0.591203i | \(0.798653\pi\) | |||||||
\(594\) | −13.6729 | − | 6.37374i | −0.561004 | − | 0.261518i | ||||
\(595\) | 6.35919i | 0.260701i | ||||||||
\(596\) | 8.78207 | + | 20.3725i | 0.359728 | + | 0.834491i | ||||
\(597\) | −5.29114 | + | 24.4361i | −0.216552 | + | 1.00010i | ||||
\(598\) | 5.31239 | − | 16.0255i | 0.217240 | − | 0.655330i | ||||
\(599\) | −36.9656 | − | 31.0178i | −1.51037 | − | 1.26735i | −0.863024 | − | 0.505163i | \(-0.831433\pi\) |
−0.647351 | − | 0.762192i | \(-0.724123\pi\) | |||||||
\(600\) | 11.3387 | + | 17.6199i | 0.462899 | + | 0.719331i | ||||
\(601\) | −41.1432 | − | 14.9749i | −1.67827 | − | 0.610839i | −0.685196 | − | 0.728358i | \(-0.740284\pi\) |
−0.993071 | + | 0.117519i | \(0.962506\pi\) | |||||||
\(602\) | 7.81337 | + | 1.14544i | 0.318449 | + | 0.0466848i | ||||
\(603\) | 17.5936 | − | 8.41615i | 0.716467 | − | 0.342732i | ||||
\(604\) | −3.38028 | + | 11.2811i | −0.137542 | + | 0.459022i | ||||
\(605\) | 3.70876 | + | 4.41992i | 0.150782 | + | 0.179695i | ||||
\(606\) | 12.7488 | + | 7.52694i | 0.517884 | + | 0.305761i | ||||
\(607\) | 1.37632 | + | 0.242682i | 0.0558630 | + | 0.00985015i | 0.201510 | − | 0.979486i | \(-0.435415\pi\) |
−0.145647 | + | 0.989337i | \(0.546526\pi\) | |||||||
\(608\) | −10.6057 | + | 26.6496i | −0.430117 | + | 1.08079i | ||||
\(609\) | −6.47424 | + | 0.884832i | −0.262349 | + | 0.0358552i | ||||
\(610\) | −0.643079 | + | 0.0186348i | −0.0260375 | + | 0.000754500i | ||||
\(611\) | 4.70870 | − | 8.15571i | 0.190494 | − | 0.329945i | ||||
\(612\) | 27.6131 | + | 34.2403i | 1.11619 | + | 1.38408i | ||||
\(613\) | −9.57422 | − | 16.5830i | −0.386699 | − | 0.669782i | 0.605304 | − | 0.795994i | \(-0.293051\pi\) |
−0.992003 | + | 0.126212i | \(0.959718\pi\) | |||||||
\(614\) | −19.7295 | − | 31.9949i | −0.796216 | − | 1.29121i | ||||
\(615\) | −5.06089 | − | 3.18919i | −0.204075 | − | 0.128600i | ||||
\(616\) | −5.36927 | + | 2.50139i | −0.216334 | + | 0.100784i | ||||
\(617\) | 2.45052 | + | 6.73275i | 0.0986543 | + | 0.271050i | 0.979195 | − | 0.202919i | \(-0.0650429\pi\) |
−0.880541 | + | 0.473970i | \(0.842821\pi\) | |||||||
\(618\) | −0.266410 | − | 0.323846i | −0.0107166 | − | 0.0130270i | ||||
\(619\) | −0.559347 | + | 0.0986280i | −0.0224821 | + | 0.00396419i | −0.184878 | − | 0.982761i | \(-0.559189\pi\) |
0.162396 | + | 0.986726i | \(0.448078\pi\) | |||||||
\(620\) | −1.83615 | − | 7.75558i | −0.0737415 | − | 0.311472i | ||||
\(621\) | −27.5628 | − | 8.24453i | −1.10606 | − | 0.330842i | ||||
\(622\) | 19.4045 | − | 24.5350i | 0.778051 | − | 0.983764i | ||||
\(623\) | 0.697858 | + | 3.95775i | 0.0279591 | + | 0.158564i | ||||
\(624\) | −4.01182 | + | 14.3897i | −0.160601 | + | 0.576049i | ||||
\(625\) | −13.7927 | + | 5.02013i | −0.551708 | + | 0.200805i | ||||
\(626\) | −7.60353 | + | 1.56906i | −0.303898 | + | 0.0627121i | ||||
\(627\) | 18.0152 | + | 0.697623i | 0.719458 | + | 0.0278604i | ||||
\(628\) | 4.12738 | − | 35.2389i | 0.164700 | − | 1.40619i | ||||
\(629\) | −67.7005 | + | 39.0869i | −2.69939 | + | 1.55850i | ||||
\(630\) | 2.22625 | + | 2.93037i | 0.0886961 | + | 0.116749i | ||||
\(631\) | −16.0510 | − | 9.26705i | −0.638980 | − | 0.368915i | 0.145242 | − | 0.989396i | \(-0.453604\pi\) |
−0.784222 | + | 0.620481i | \(0.786937\pi\) | |||||||
\(632\) | −10.5796 | − | 39.5405i | −0.420836 | − | 1.57284i | ||||
\(633\) | −8.94399 | − | 3.65319i | −0.355492 | − | 0.145201i | ||||
\(634\) | 21.1899 | − | 18.8528i | 0.841557 | − | 0.748741i | ||||
\(635\) | 2.19343 | − | 12.4396i | 0.0870438 | − | 0.493650i | ||||
\(636\) | −14.9890 | − | 12.0937i | −0.594353 | − | 0.479548i | ||||
\(637\) | −9.84319 | + | 8.25942i | −0.390002 | + | 0.327250i | ||||
\(638\) | −9.97844 | + | 3.96280i | −0.395050 | + | 0.156889i | ||||
\(639\) | 3.40958 | + | 34.9952i | 0.134881 | + | 1.38439i | ||||
\(640\) | −8.19188 | + | 5.04337i | −0.323813 | + | 0.199357i | ||||
\(641\) | −8.67287 | + | 23.8285i | −0.342558 | + | 0.941170i | 0.642092 | + | 0.766628i | \(0.278067\pi\) |
−0.984650 | + | 0.174542i | \(0.944155\pi\) | |||||||
\(642\) | 3.66799 | − | 19.6799i | 0.144764 | − | 0.776703i | ||||
\(643\) | −18.0729 | + | 21.5384i | −0.712725 | + | 0.849392i | −0.993902 | − | 0.110263i | \(-0.964831\pi\) |
0.281178 | + | 0.959656i | \(0.409275\pi\) | |||||||
\(644\) | −9.43948 | + | 6.20521i | −0.371968 | + | 0.244520i | ||||
\(645\) | −2.46195 | − | 7.67620i | −0.0969393 | − | 0.302250i | ||||
\(646\) | −46.2686 | − | 24.9550i | −1.82041 | − | 0.981840i | ||||
\(647\) | 26.2892 | 1.03353 | 0.516767 | − | 0.856126i | \(-0.327135\pi\) | ||||
0.516767 | + | 0.856126i | \(0.327135\pi\) | |||||||
\(648\) | 24.7114 | + | 6.11134i | 0.970754 | + | 0.240076i | ||||
\(649\) | −24.7773 | −0.972595 | ||||||||
\(650\) | −11.4788 | − | 6.19107i | −0.450234 | − | 0.242834i | ||||
\(651\) | 2.52903 | + | 7.88534i | 0.0991206 | + | 0.309051i | ||||
\(652\) | −30.1483 | + | 19.8185i | −1.18070 | + | 0.776153i | ||||
\(653\) | 3.30137 | − | 3.93442i | 0.129193 | − | 0.153966i | −0.697570 | − | 0.716516i | \(-0.745735\pi\) |
0.826763 | + | 0.562551i | \(0.190180\pi\) | |||||||
\(654\) | −8.60909 | + | 46.1904i | −0.336642 | + | 1.80619i | ||||
\(655\) | −0.912891 | + | 2.50815i | −0.0356696 | + | 0.0980014i | ||||
\(656\) | −8.93440 | + | 13.5700i | −0.348830 | + | 0.529818i | ||||
\(657\) | 4.20393 | + | 1.91011i | 0.164011 | + | 0.0745203i | ||||
\(658\) | −5.85625 | + | 2.32573i | −0.228300 | + | 0.0906663i | ||||
\(659\) | 6.33669 | − | 5.31712i | 0.246842 | − | 0.207125i | −0.510969 | − | 0.859599i | \(-0.670713\pi\) |
0.757811 | + | 0.652474i | \(0.226269\pi\) | |||||||
\(660\) | 4.70594 | + | 3.79694i | 0.183178 | + | 0.147796i | ||||
\(661\) | 0.914795 | − | 5.18806i | 0.0355814 | − | 0.201792i | −0.961835 | − | 0.273630i | \(-0.911775\pi\) |
0.997416 | + | 0.0718384i | \(0.0228866\pi\) | |||||||
\(662\) | 24.6908 | − | 21.9676i | 0.959634 | − | 0.853796i | ||||
\(663\) | −25.3465 | − | 10.3528i | −0.984377 | − | 0.402070i | ||||
\(664\) | 14.4162 | − | 3.85726i | 0.559455 | − | 0.149691i | ||||
\(665\) | −3.80888 | − | 2.19906i | −0.147702 | − | 0.0852759i | ||||
\(666\) | −17.5133 | + | 41.7125i | −0.678625 | + | 1.61633i | ||||
\(667\) | −17.7324 | + | 10.2378i | −0.686601 | + | 0.396409i | ||||
\(668\) | −3.73959 | + | 31.9281i | −0.144689 | + | 1.23533i | ||||
\(669\) | 23.5190 | + | 0.910754i | 0.909299 | + | 0.0352118i | ||||
\(670\) | −7.65606 | + | 1.57989i | −0.295779 | + | 0.0610366i | ||||
\(671\) | 1.03208 | − | 0.375647i | 0.0398431 | − | 0.0145017i | ||||
\(672\) | 8.07800 | − | 5.88658i | 0.311616 | − | 0.227080i | ||||
\(673\) | 2.65489 | + | 15.0566i | 0.102338 | + | 0.580390i | 0.992250 | + | 0.124257i | \(0.0396547\pi\) |
−0.889912 | + | 0.456133i | \(0.849234\pi\) | |||||||
\(674\) | 5.59402 | − | 7.07305i | 0.215474 | − | 0.272444i | ||||
\(675\) | −9.96933 | + | 19.8625i | −0.383720 | + | 0.764508i | ||||
\(676\) | 3.84780 | + | 16.2525i | 0.147992 | + | 0.625095i | ||||
\(677\) | −24.0011 | + | 4.23205i | −0.922439 | + | 0.162651i | −0.614647 | − | 0.788803i | \(-0.710701\pi\) |
−0.307792 | + | 0.951454i | \(0.599590\pi\) | |||||||
\(678\) | 7.74053 | + | 9.40934i | 0.297273 | + | 0.361364i | ||||
\(679\) | −1.52607 | − | 4.19285i | −0.0585653 | − | 0.160907i | ||||
\(680\) | −7.44562 | − | 15.9821i | −0.285526 | − | 0.612887i | ||||
\(681\) | −26.3493 | − | 16.6044i | −1.00971 | − | 0.636281i | ||||
\(682\) | 7.14158 | + | 11.5814i | 0.273465 | + | 0.443473i | ||||
\(683\) | 12.9096 | + | 22.3600i | 0.493971 | + | 0.855582i | 0.999976 | − | 0.00694804i | \(-0.00221165\pi\) |
−0.506005 | + | 0.862530i | \(0.668878\pi\) | |||||||
\(684\) | −30.0573 | + | 4.69847i | −1.14927 | + | 0.179650i | ||||
\(685\) | −5.10734 | + | 8.84617i | −0.195141 | + | 0.337995i | ||||
\(686\) | 18.6885 | − | 0.541544i | 0.713531 | − | 0.0206763i | ||||
\(687\) | −23.8362 | + | 3.25768i | −0.909407 | + | 0.124288i | ||||
\(688\) | −20.9780 | + | 6.26947i | −0.799778 | + | 0.239021i | ||||
\(689\) | 11.8057 | + | 2.08167i | 0.449762 | + | 0.0793051i | ||||
\(690\) | 9.93009 | + | 5.86277i | 0.378032 | + | 0.223192i | ||||
\(691\) | −6.26030 | − | 7.46074i | −0.238153 | − | 0.283820i | 0.633709 | − | 0.773572i | \(-0.281532\pi\) |
−0.871862 | + | 0.489752i | \(0.837087\pi\) | |||||||
\(692\) | −3.13620 | + | 10.4665i | −0.119221 | + | 0.397878i | ||||
\(693\) | −5.18172 | − | 3.55268i | −0.196837 | − | 0.134955i | ||||
\(694\) | 22.6028 | + | 3.31358i | 0.857991 | + | 0.125782i | ||||
\(695\) | −2.29673 | − | 0.835942i | −0.0871200 | − | 0.0317091i | ||||
\(696\) | 15.2353 | − | 9.80412i | 0.577492 | − | 0.371624i | ||||
\(697\) | −22.8110 | − | 19.1407i | −0.864030 | − | 0.725007i | ||||
\(698\) | 9.36361 | − | 28.2465i | 0.354418 | − | 1.06915i | ||||
\(699\) | 0.897323 | − | 4.14411i | 0.0339399 | − | 0.156745i | ||||
\(700\) | 3.45440 | + | 8.01346i | 0.130564 | + | 0.302880i | ||||
\(701\) | − | 46.8518i | − | 1.76957i | −0.466000 | − | 0.884785i | \(-0.654305\pi\) | ||
0.466000 | − | 0.884785i | \(-0.345695\pi\) | |||||||
\(702\) | −15.3043 | + | 4.10276i | −0.577622 | + | 0.154849i | ||||
\(703\) | − | 54.0663i | − | 2.03915i | ||||||
\(704\) | 10.5655 | − | 12.5732i | 0.398203 | − | 0.473869i | ||||
\(705\) | 4.76381 | + | 4.32223i | 0.179415 | + | 0.162785i | ||||
\(706\) | −12.9096 | − | 4.27949i | −0.485859 | − | 0.161061i | ||||
\(707\) | 4.72329 | + | 3.96331i | 0.177638 | + | 0.149056i | ||||
\(708\) | 41.0278 | − | 8.05083i | 1.54192 | − | 0.302569i | ||||
\(709\) | 25.0301 | + | 9.11022i | 0.940026 | + | 0.342142i | 0.766176 | − | 0.642631i | \(-0.222157\pi\) |
0.173850 | + | 0.984772i | \(0.444379\pi\) | |||||||
\(710\) | 2.04427 | − | 13.9445i | 0.0767199 | − | 0.523326i | ||||
\(711\) | 30.3945 | − | 30.9997i | 1.13988 | − | 1.16258i | ||||
\(712\) | −6.38779 | − | 9.12968i | −0.239393 | − | 0.342149i | ||||
\(713\) | 16.6793 | + | 19.8776i | 0.624646 | + | 0.744424i | ||||
\(714\) | 9.00482 | + | 15.9535i | 0.336997 | + | 0.597045i | ||||
\(715\) | −3.70651 | − | 0.653558i | −0.138616 | − | 0.0244417i | ||||
\(716\) | −26.9078 | + | 1.56075i | −1.00559 | + | 0.0583279i | ||||
\(717\) | 16.3482 | + | 21.0893i | 0.610533 | + | 0.787595i | ||||
\(718\) | 0.574796 | + | 19.8360i | 0.0214512 | + | 0.740274i | ||||
\(719\) | 19.9787 | − | 34.6042i | 0.745081 | − | 1.29052i | −0.205076 | − | 0.978746i | \(-0.565744\pi\) |
0.950157 | − | 0.311772i | \(-0.100922\pi\) | |||||||
\(720\) | −9.02611 | − | 4.75812i | −0.336383 | − | 0.177325i | ||||
\(721\) | −0.0873226 | − | 0.151247i | −0.00325206 | − | 0.00563274i | ||||
\(722\) | 8.07579 | − | 4.97989i | 0.300550 | − | 0.185332i | ||||
\(723\) | 17.9117 | − | 9.43675i | 0.666145 | − | 0.350956i | ||||
\(724\) | −12.8769 | + | 25.6247i | −0.478566 | + | 0.952335i | ||||
\(725\) | 5.40977 | + | 14.8632i | 0.200914 | + | 0.552006i | ||||
\(726\) | 15.5630 | + | 5.83668i | 0.577598 | + | 0.216620i | ||||
\(727\) | −46.3051 | + | 8.16484i | −1.71736 | + | 0.302817i | −0.943705 | − | 0.330788i | \(-0.892686\pi\) |
−0.773657 | + | 0.633605i | \(0.781574\pi\) | |||||||
\(728\) | −2.63131 | + | 5.63759i | −0.0975230 | + | 0.208943i | ||||
\(729\) | 7.75615 | + | 25.8620i | 0.287265 | + | 0.957851i | ||||
\(730\) | −1.45169 | − | 1.14813i | −0.0537294 | − | 0.0424942i | ||||
\(731\) | −6.96831 | − | 39.5192i | −0.257732 | − | 1.46167i | ||||
\(732\) | −1.58693 | + | 0.957372i | −0.0586545 | + | 0.0353855i | ||||
\(733\) | −10.6192 | + | 3.86508i | −0.392230 | + | 0.142760i | −0.530604 | − | 0.847620i | \(-0.678035\pi\) |
0.138374 | + | 0.990380i | \(0.455812\pi\) | |||||||
\(734\) | −10.6012 | − | 51.3728i | −0.391298 | − | 1.89620i | ||||
\(735\) | −4.09087 | − | 7.76480i | −0.150894 | − | 0.286409i | ||||
\(736\) | 16.4583 | − | 26.6473i | 0.606661 | − | 0.982234i | ||||
\(737\) | 11.5577 | − | 6.67287i | 0.425735 | − | 0.245798i | ||||
\(738\) | −17.2124 | − | 0.834427i | −0.633598 | − | 0.0307157i | ||||
\(739\) | 27.1693 | + | 15.6862i | 0.999438 | + | 0.577026i | 0.908082 | − | 0.418793i | \(-0.137547\pi\) |
0.0913557 | + | 0.995818i | \(0.470880\pi\) | |||||||
\(740\) | 10.8320 | − | 14.5427i | 0.398193 | − | 0.534599i | ||||
\(741\) | 14.9659 | − | 11.6014i | 0.549787 | − | 0.426188i | ||||
\(742\) | −5.33163 | − | 5.99254i | −0.195730 | − | 0.219993i | ||||
\(743\) | 1.81455 | − | 10.2908i | 0.0665695 | − | 0.377535i | −0.933262 | − | 0.359196i | \(-0.883051\pi\) |
0.999832 | − | 0.0183390i | \(-0.00583781\pi\) | |||||||
\(744\) | −15.5886 | − | 16.8566i | −0.571505 | − | 0.617994i | ||||
\(745\) | 7.22511 | − | 6.06259i | 0.264708 | − | 0.222116i | ||||
\(746\) | 14.7990 | + | 37.2644i | 0.541831 | + | 1.36435i | ||||
\(747\) | 11.3022 | + | 11.0816i | 0.413527 | + | 0.405454i | ||||
\(748\) | 20.6507 | + | 21.8990i | 0.755065 | + | 0.800706i | ||||
\(749\) | 2.85150 | − | 7.83444i | 0.104192 | − | 0.286264i | ||||
\(750\) | 12.5634 | − | 14.6798i | 0.458749 | − | 0.536031i | ||||
\(751\) | −6.54549 | + | 7.80061i | −0.238848 | + | 0.284648i | −0.872131 | − | 0.489272i | \(-0.837263\pi\) |
0.633283 | + | 0.773920i | \(0.281707\pi\) | |||||||
\(752\) | 11.9951 | − | 12.7019i | 0.437415 | − | 0.463189i | ||||
\(753\) | 4.05895 | − | 4.47363i | 0.147916 | − | 0.163028i | ||||
\(754\) | −5.35318 | + | 9.92525i | −0.194951 | + | 0.361456i | ||||
\(755\) | 5.00678 | 0.182215 | ||||||||
\(756\) | 9.73458 | + | 4.19906i | 0.354043 | + | 0.152719i | ||||
\(757\) | 46.4748 | 1.68916 | 0.844578 | − | 0.535433i | \(-0.179851\pi\) | ||||
0.844578 | + | 0.535433i | \(0.179851\pi\) | |||||||
\(758\) | −10.2879 | + | 19.0746i | −0.373673 | + | 0.692822i | ||||
\(759\) | −19.2408 | − | 4.16620i | −0.698397 | − | 0.151224i | ||||
\(760\) | 12.1474 | + | 1.06715i | 0.440632 | + | 0.0387095i | ||||
\(761\) | 34.3388 | − | 40.9234i | 1.24478 | − | 1.48347i | 0.430942 | − | 0.902380i | \(-0.358181\pi\) |
0.813838 | − | 0.581092i | \(-0.197374\pi\) | |||||||
\(762\) | −12.1121 | − | 34.3136i | −0.438776 | − | 1.24305i | ||||
\(763\) | −6.69273 | + | 18.3881i | −0.242293 | + | 0.665694i | ||||
\(764\) | −12.2162 | + | 11.5199i | −0.441967 | + | 0.416774i | ||||
\(765\) | 10.5749 | − | 15.4239i | 0.382336 | − | 0.557651i | ||||
\(766\) | −19.2121 | − | 48.3765i | −0.694160 | − | 1.74791i | ||||
\(767\) | −19.9357 | + | 16.7280i | −0.719837 | + | 0.604015i | ||||
\(768\) | −13.4097 | + | 24.2524i | −0.483879 | + | 0.875135i | ||||
\(769\) | 4.11818 | − | 23.3554i | 0.148506 | − | 0.842217i | −0.815980 | − | 0.578080i | \(-0.803802\pi\) |
0.964485 | − | 0.264136i | \(-0.0850869\pi\) | |||||||
\(770\) | 1.67391 | + | 1.88141i | 0.0603236 | + | 0.0678014i | ||||
\(771\) | 4.18728 | + | 30.6380i | 0.150801 | + | 1.10340i | ||||
\(772\) | −1.98196 | − | 1.47625i | −0.0713323 | − | 0.0531315i | ||||
\(773\) | 24.4917 | + | 14.1403i | 0.880907 | + | 0.508592i | 0.870957 | − | 0.491359i | \(-0.163500\pi\) |
0.00994940 | + | 0.999951i | \(0.496833\pi\) | |||||||
\(774\) | −17.0461 | − | 15.7713i | −0.612711 | − | 0.566888i | ||||
\(775\) | 17.3593 | − | 10.0224i | 0.623565 | − | 0.360015i | ||||
\(776\) | 8.74456 | + | 8.75083i | 0.313911 | + | 0.314136i | ||||
\(777\) | −10.0449 | + | 15.9401i | −0.360357 | + | 0.571848i | ||||
\(778\) | −2.56919 | − | 12.4501i | −0.0921101 | − | 0.446359i | ||||
\(779\) | 19.3527 | − | 7.04382i | 0.693384 | − | 0.252371i | ||||
\(780\) | 6.34982 | − | 0.122146i | 0.227360 | − | 0.00437354i | ||||
\(781\) | 4.17803 | + | 23.6948i | 0.149502 | + | 0.847866i | ||||
\(782\) | 45.0242 | + | 35.6093i | 1.61006 | + | 1.27338i | ||||
\(783\) | 17.1743 | + | 8.62010i | 0.613761 | + | 0.308057i | ||||
\(784\) | −21.3069 | + | 10.6880i | −0.760959 | + | 0.381713i | ||||
\(785\) | −14.8548 | + | 2.61931i | −0.530192 | + | 0.0934872i | ||||
\(786\) | 1.26142 | + | 7.58496i | 0.0449934 | + | 0.270546i | ||||
\(787\) | 2.69409 | + | 7.40195i | 0.0960339 | + | 0.263851i | 0.978403 | − | 0.206707i | \(-0.0662748\pi\) |
−0.882369 | + | 0.470558i | \(0.844053\pi\) | |||||||
\(788\) | 5.22394 | + | 2.62513i | 0.186095 | + | 0.0935163i | ||||
\(789\) | 0.493577 | − | 12.7460i | 0.0175718 | − | 0.453769i | ||||
\(790\) | −14.8120 | + | 9.13373i | −0.526987 | + | 0.324963i | ||||
\(791\) | 2.53715 | + | 4.39448i | 0.0902108 | + | 0.156250i | ||||
\(792\) | 17.1825 | + | 2.86174i | 0.610555 | + | 0.101688i | ||||
\(793\) | 0.576796 | − | 0.999040i | 0.0204826 | − | 0.0354769i | ||||
\(794\) | −0.193128 | − | 6.66479i | −0.00685387 | − | 0.236525i | ||||
\(795\) | −3.09612 | + | 7.58013i | −0.109808 | + | 0.268840i | ||||
\(796\) | −1.67177 | − | 28.8218i | −0.0592542 | − | 1.02156i | ||||
\(797\) | 1.80271 | + | 0.317867i | 0.0638553 | + | 0.0112594i | 0.205485 | − | 0.978660i | \(-0.434123\pi\) |
−0.141629 | + | 0.989920i | \(0.545234\pi\) | |||||||
\(798\) | −12.6694 | − | 0.123347i | −0.448492 | − | 0.00436643i | ||||
\(799\) | 20.5821 | + | 24.5288i | 0.728141 | + | 0.867765i | ||||
\(800\) | −18.0642 | − | 16.0952i | −0.638667 | − | 0.569050i | ||||
\(801\) | 4.88885 | − | 10.7598i | 0.172739 | − | 0.380179i | ||||
\(802\) | −3.52496 | + | 24.0447i | −0.124471 | + | 0.849048i | ||||
\(803\) | 2.96918 | + | 1.08069i | 0.104780 | + | 0.0381368i | ||||
\(804\) | −16.9698 | + | 14.8048i | −0.598479 | + | 0.522124i | ||||
\(805\) | 3.67900 | + | 3.08704i | 0.129668 | + | 0.108804i | ||||
\(806\) | 13.5651 | + | 4.49677i | 0.477809 | + | 0.158392i | ||||
\(807\) | −1.49577 | + | 0.479731i | −0.0526536 | + | 0.0168873i | ||||
\(808\) | −16.5112 | − | 4.43050i | −0.580861 | − | 0.155864i | ||||
\(809\) | − | 0.784403i | − | 0.0275781i | −0.999905 | − | 0.0137891i | \(-0.995611\pi\) | ||
0.999905 | − | 0.0137891i | \(-0.00438933\pi\) | |||||||
\(810\) | −0.526659 | − | 10.8096i | −0.0185049 | − | 0.379809i | ||||
\(811\) | 41.4637i | 1.45599i | 0.685584 | + | 0.727994i | \(0.259547\pi\) | ||||
−0.685584 | + | 0.727994i | \(0.740453\pi\) | |||||||
\(812\) | 6.92893 | − | 2.98688i | 0.243158 | − | 0.104819i | ||||
\(813\) | −11.0759 | + | 3.55232i | −0.388448 | + | 0.124585i | ||||
\(814\) | −9.74095 | + | 29.3848i | −0.341420 | + | 1.02994i | ||||
\(815\) | 11.7502 | + | 9.85955i | 0.411590 | + | 0.345365i | ||||
\(816\) | −41.3103 | − | 29.5517i | −1.44615 | − | 1.03452i | ||||
\(817\) | 26.0800 | + | 9.49236i | 0.912425 | + | 0.332096i | ||||
\(818\) | 27.0280 | + | 3.96233i | 0.945014 | + | 0.138539i | ||||
\(819\) | −6.56773 | + | 0.639894i | −0.229495 | + | 0.0223597i | ||||
\(820\) | 6.61669 | + | 1.98263i | 0.231065 | + | 0.0692364i | ||||
\(821\) | −1.49518 | − | 1.78189i | −0.0521823 | − | 0.0621884i | 0.739322 | − | 0.673352i | \(-0.235146\pi\) |
−0.791504 | + | 0.611164i | \(0.790702\pi\) | |||||||
\(822\) | −0.286474 | + | 29.4248i | −0.00999194 | + | 1.02631i | ||||
\(823\) | −44.3729 | − | 7.82414i | −1.54674 | − | 0.272732i | −0.665863 | − | 0.746074i | \(-0.731937\pi\) |
−0.880879 | + | 0.473341i | \(0.843048\pi\) | |||||||
\(824\) | 0.396549 | + | 0.277879i | 0.0138144 | + | 0.00968036i | ||||
\(825\) | −5.75042 | + | 14.0786i | −0.200204 | + | 0.490154i | ||||
\(826\) | 17.4054 | − | 0.504364i | 0.605612 | − | 0.0175491i | ||||
\(827\) | −20.6443 | + | 35.7571i | −0.717874 | + | 1.24339i | 0.243966 | + | 0.969784i | \(0.421551\pi\) |
−0.961840 | + | 0.273611i | \(0.911782\pi\) | |||||||
\(828\) | 33.2138 | + | 0.646787i | 1.15426 | + | 0.0224774i | ||||
\(829\) | −2.75417 | − | 4.77037i | −0.0956564 | − | 0.165682i | 0.814226 | − | 0.580548i | \(-0.197162\pi\) |
−0.909882 | + | 0.414866i | \(0.863828\pi\) | |||||||
\(830\) | −3.33008 | − | 5.40033i | −0.115589 | − | 0.187448i | ||||
\(831\) | 0.120046 | − | 3.10003i | 0.00416434 | − | 0.107539i | ||||
\(832\) | 0.0123714 | − | 17.2495i | 0.000428900 | − | 0.598018i | ||||
\(833\) | −14.9425 | − | 41.0542i | −0.517728 | − | 1.42245i | ||||
\(834\) | −6.94560 | + | 1.15509i | −0.240507 | + | 0.0399976i | ||||
\(835\) | 13.4592 | − | 2.37321i | 0.465774 | − | 0.0821285i | ||||
\(836\) | −20.2578 | + | 4.79606i | −0.700629 | + | 0.165875i | ||||
\(837\) | 6.97875 | − | 23.3311i | 0.241221 | − | 0.806441i | ||||
\(838\) | −13.4612 | + | 17.0203i | −0.465011 | + | 0.587957i | ||||
\(839\) | 4.43317 | + | 25.1418i | 0.153050 | + | 0.867990i | 0.960547 | + | 0.278118i | \(0.0897107\pi\) |
−0.807497 | + | 0.589872i | \(0.799178\pi\) | |||||||
\(840\) | −3.38309 | − | 2.57146i | −0.116728 | − | 0.0887238i | ||||
\(841\) | −14.3994 | + | 5.24096i | −0.496532 | + | 0.180723i | ||||
\(842\) | −32.2215 | + | 6.64918i | −1.11043 | + | 0.229146i | ||||
\(843\) | −5.31017 | + | 8.42665i | −0.182892 | + | 0.290229i | ||||
\(844\) | 11.0802 | + | 1.29777i | 0.381395 | + | 0.0446711i | ||||
\(845\) | 6.14933 | − | 3.55032i | 0.211543 | − | 0.122135i | ||||
\(846\) | 18.0715 | + | 4.09760i | 0.621312 | + | 0.140878i | ||||
\(847\) | 5.99495 | + | 3.46119i | 0.205989 | + | 0.118928i | ||||
\(848\) | 20.4160 | + | 8.81817i | 0.701088 | + | 0.302817i | ||||
\(849\) | 2.42796 | + | 17.7652i | 0.0833275 | + | 0.609700i | ||||
\(850\) | 33.1293 | − | 29.4755i | 1.13633 | − | 1.01100i | ||||
\(851\) | −10.2519 | + | 58.1415i | −0.351431 | + | 1.99306i | ||||
\(852\) | −14.6173 | − | 37.8777i | −0.500781 | − | 1.29767i | ||||
\(853\) | 35.0320 | − | 29.3953i | 1.19947 | − | 1.00648i | 0.199827 | − | 0.979831i | \(-0.435962\pi\) |
0.999645 | − | 0.0266448i | \(-0.00848230\pi\) | |||||||
\(854\) | −0.717365 | + | 0.284891i | −0.0245477 | + | 0.00974878i | ||||
\(855\) | 5.58136 | + | 11.6676i | 0.190879 | + | 0.399024i | ||||
\(856\) | 2.00641 | + | 23.0285i | 0.0685776 | + | 0.787096i | ||||
\(857\) | −14.1429 | + | 38.8574i | −0.483113 | + | 1.32734i | 0.423697 | + | 0.905804i | \(0.360732\pi\) |
−0.906810 | + | 0.421539i | \(0.861490\pi\) | |||||||
\(858\) | −10.2241 | + | 3.60894i | −0.349045 | + | 0.123207i | ||||
\(859\) | 36.1399 | − | 43.0699i | 1.23308 | − | 1.46953i | 0.399866 | − | 0.916574i | \(-0.369057\pi\) |
0.833213 | − | 0.552952i | \(-0.186499\pi\) | |||||||
\(860\) | 5.11321 | + | 7.77831i | 0.174359 | + | 0.265238i | ||||
\(861\) | −7.01433 | − | 1.51881i | −0.239048 | − | 0.0517609i | ||||
\(862\) | 21.0023 | + | 11.3276i | 0.715341 | + | 0.385819i | ||||
\(863\) | −12.4602 | −0.424150 | −0.212075 | − | 0.977253i | \(-0.568022\pi\) | ||||
−0.212075 | + | 0.977253i | \(0.568022\pi\) | |||||||
\(864\) | −29.3817 | + | 0.844432i | −0.999587 | + | 0.0287282i | ||||
\(865\) | 4.64525 | 0.157943 | ||||||||
\(866\) | −3.47835 | − | 1.87604i | −0.118199 | − | 0.0637506i | ||||
\(867\) | 42.7676 | − | 47.1370i | 1.45246 | − | 1.60086i | ||||
\(868\) | −5.25252 | − | 7.99024i | −0.178282 | − | 0.271206i | ||||
\(869\) | 19.0960 | − | 22.7577i | 0.647786 | − | 0.772002i | ||||
\(870\) | −5.85193 | − | 5.00824i | −0.198399 | − | 0.169795i | ||||
\(871\) | 4.79421 | − | 13.1720i | 0.162446 | − | 0.446316i | ||||
\(872\) | −4.70922 | − | 54.0498i | −0.159474 | − | 1.83036i | ||||
\(873\) | −3.27101 | + | 12.7073i | −0.110707 | + | 0.430077i | ||||
\(874\) | −36.8982 | + | 14.6536i | −1.24810 | + | 0.495666i | ||||
\(875\) | 6.16435 | − | 5.17251i | 0.208393 | − | 0.174863i | ||||
\(876\) | −5.26769 | − | 0.824709i | −0.177979 | − | 0.0278643i | ||||
\(877\) | −3.26229 | + | 18.5014i | −0.110160 | + | 0.624747i | 0.878873 | + | 0.477055i | \(0.158296\pi\) |
−0.989033 | + | 0.147693i | \(0.952815\pi\) | |||||||
\(878\) | −5.95221 | + | 5.29574i | −0.200877 | + | 0.178723i | ||||
\(879\) | −17.1657 | + | 13.3066i | −0.578984 | + | 0.448821i | ||||
\(880\) | −6.40978 | − | 2.76855i | −0.216074 | − | 0.0933277i | ||||
\(881\) | −13.9892 | − | 8.07667i | −0.471308 | − | 0.272110i | 0.245479 | − | 0.969402i | \(-0.421055\pi\) |
−0.716787 | + | 0.697292i | \(0.754388\pi\) | |||||||
\(882\) | −21.2581 | − | 13.6870i | −0.715798 | − | 0.460866i | ||||
\(883\) | 1.99218 | − | 1.15019i | 0.0670423 | − | 0.0387069i | −0.466104 | − | 0.884730i | \(-0.654343\pi\) |
0.533146 | + | 0.846023i | \(0.321009\pi\) | |||||||
\(884\) | 31.4003 | + | 3.67777i | 1.05610 | + | 0.123697i | ||||
\(885\) | −8.28535 | − | 15.7263i | −0.278509 | − | 0.528633i | ||||
\(886\) | −7.58073 | + | 1.56435i | −0.254679 | + | 0.0525553i | ||||
\(887\) | −9.36820 | + | 3.40975i | −0.314553 | + | 0.114488i | −0.494472 | − | 0.869193i | \(-0.664639\pi\) |
0.179919 | + | 0.983681i | \(0.442416\pi\) | |||||||
\(888\) | 6.58174 | − | 51.8222i | 0.220869 | − | 1.73904i | ||||
\(889\) | −2.63159 | − | 14.9245i | −0.0882608 | − | 0.500552i | ||||
\(890\) | −2.93860 | + | 3.71555i | −0.0985020 | + | 0.124545i | ||||
\(891\) | 6.66013 | + | 17.2337i | 0.223123 | + | 0.577351i | ||||
\(892\) | −26.4467 | + | 6.26131i | −0.885502 | + | 0.209644i | ||||
\(893\) | −21.8091 | + | 3.84554i | −0.729815 | + | 0.128686i | ||||
\(894\) | 9.54105 | − | 25.4404i | 0.319100 | − | 0.850855i | ||||
\(895\) | 3.91918 | + | 10.7679i | 0.131004 | + | 0.359930i | ||||
\(896\) | −7.16606 | + | 9.04740i | −0.239401 | + | 0.302252i | ||||
\(897\) | −18.2938 | + | 9.63804i | −0.610813 | + | 0.321805i | ||||
\(898\) | −18.2961 | − | 29.6704i | −0.610547 | − | 0.990113i | ||||
\(899\) | −8.66598 | − | 15.0099i | −0.289027 | − | 0.500609i | ||||
\(900\) | 4.94737 | − | 25.1807i | 0.164912 | − | 0.839355i | ||||
\(901\) | −20.3798 | + | 35.2989i | −0.678951 | + | 1.17598i | ||||
\(902\) | −11.7872 | + | 0.341562i | −0.392471 | + | 0.0113728i | ||||
\(903\) | −5.92549 | − | 7.64394i | −0.197188 | − | 0.254375i | ||||
\(904\) | −11.5217 | − | 8.07375i | −0.383206 | − | 0.268529i | ||||
\(905\) | 12.0071 | + | 2.11718i | 0.399131 | + | 0.0703775i | ||||
\(906\) | 12.5607 | − | 7.08976i | 0.417300 | − | 0.235542i | ||||
\(907\) | 17.6103 | + | 20.9872i | 0.584741 | + | 0.696868i | 0.974586 | − | 0.224013i | \(-0.0719158\pi\) |
−0.389845 | + | 0.920881i | \(0.627471\pi\) | |||||||
\(908\) | 34.4495 | + | 10.3225i | 1.14325 | + | 0.342564i | ||||
\(909\) | −4.86538 | − | 17.4673i | −0.161375 | − | 0.579354i | ||||
\(910\) | 2.61703 | + | 0.383658i | 0.0867537 | + | 0.0127181i | ||||
\(911\) | −43.0029 | − | 15.6518i | −1.42475 | − | 0.518566i | −0.489327 | − | 0.872100i | \(-0.662758\pi\) |
−0.935422 | + | 0.353534i | \(0.884980\pi\) | |||||||
\(912\) | 31.9856 | − | 14.5239i | 1.05915 | − | 0.480935i | ||||
\(913\) | 8.29727 | + | 6.96224i | 0.274600 | + | 0.230416i | ||||
\(914\) | 5.07415 | − | 15.3068i | 0.167838 | − | 0.506304i | ||||
\(915\) | 0.583546 | + | 0.529454i | 0.0192914 | + | 0.0175032i | ||||
\(916\) | 25.5102 | − | 10.9968i | 0.842881 | − | 0.363344i | ||||
\(917\) | 3.20230i | 0.105749i | ||||||||
\(918\) | 4.68884 | − | 53.6688i | 0.154755 | − | 1.77133i | ||||
\(919\) | − | 35.8178i | − | 1.18152i | −0.806847 | − | 0.590760i | \(-0.798828\pi\) | ||
0.806847 | − | 0.590760i | \(-0.201172\pi\) | |||||||
\(920\) | −12.8606 | − | 3.45094i | −0.424003 | − | 0.113774i | ||||
\(921\) | −9.74255 | + | 44.9941i | −0.321028 | + | 1.48261i | ||||
\(922\) | 25.1012 | + | 8.32096i | 0.826664 | + | 0.274036i | ||||
\(923\) | 19.3588 | + | 16.2440i | 0.637203 | + | 0.534676i | ||||
\(924\) | 6.86355 | + | 2.34965i | 0.225794 | + | 0.0772977i | ||||
\(925\) | 42.8560 | + | 15.5983i | 1.40910 | + | 0.512869i | ||||
\(926\) | −7.26686 | + | 49.5691i | −0.238804 | + | 1.62894i | ||||
\(927\) | −0.0397172 | + | 0.512053i | −0.00130448 | + | 0.0168180i | ||||
\(928\) | −13.9169 | + | 15.6194i | −0.456844 | + | 0.512734i | ||||
\(929\) | −9.73496 | − | 11.6017i | −0.319394 | − | 0.380639i | 0.582329 | − | 0.812953i | \(-0.302141\pi\) |
−0.901723 | + | 0.432314i | \(0.857697\pi\) | |||||||
\(930\) | −4.96266 | + | 8.40552i | −0.162732 | + | 0.275628i | ||||
\(931\) | 29.7570 | + | 5.24696i | 0.975246 | + | 0.171962i | ||||
\(932\) | 0.283514 | + | 4.88789i | 0.00928682 | + | 0.160108i | ||||
\(933\) | −37.9584 | + | 5.18776i | −1.24270 | + | 0.169840i | ||||
\(934\) | −0.133155 | − | 4.59514i | −0.00435697 | − | 0.150357i | ||||
\(935\) | 6.39844 | − | 11.0824i | 0.209251 | − | 0.362434i | ||||
\(936\) | 15.7570 | − | 9.29800i | 0.515035 | − | 0.303915i | ||||
\(937\) | −20.1768 | − | 34.9472i | −0.659147 | − | 1.14168i | −0.980837 | − | 0.194831i | \(-0.937584\pi\) |
0.321690 | − | 0.946845i | \(-0.395749\pi\) | |||||||
\(938\) | −7.98318 | + | 4.92278i | −0.260660 | + | 0.160735i | ||||
\(939\) | 8.04455 | + | 5.06938i | 0.262524 | + | 0.165433i | ||||
\(940\) | −6.63664 | − | 3.33503i | −0.216463 | − | 0.108777i | ||||
\(941\) | −12.8302 | − | 35.2506i | −0.418252 | − | 1.14914i | −0.952694 | − | 0.303932i | \(-0.901701\pi\) |
0.534442 | − | 0.845205i | \(-0.320522\pi\) | |||||||
\(942\) | −33.5578 | + | 27.6061i | −1.09337 | + | 0.899456i | ||||
\(943\) | −22.1471 | + | 3.90513i | −0.721208 | + | 0.127168i | ||||
\(944\) | −43.1534 | + | 21.6466i | −1.40452 | + | 0.704538i | ||||
\(945\) | 0.522176 | − | 4.47686i | 0.0169864 | − | 0.145632i | ||||
\(946\) | −12.4642 | − | 9.85782i | −0.405245 | − | 0.320505i | ||||
\(947\) | −1.96803 | − | 11.1613i | −0.0639525 | − | 0.362693i | −0.999943 | − | 0.0106676i | \(-0.996604\pi\) |
0.935991 | − | 0.352025i | \(-0.114507\pi\) | |||||||
\(948\) | −24.2257 | + | 43.8884i | −0.786813 | + | 1.42543i | ||||
\(949\) | 3.11860 | − | 1.13508i | 0.101234 | − | 0.0368462i | ||||
\(950\) | 6.19818 | + | 30.0360i | 0.201096 | + | 0.974495i | ||||
\(951\) | −34.7110 | − | 1.34415i | −1.12558 | − | 0.0435871i | ||||
\(952\) | −14.9524 | − | 14.9631i | −0.484609 | − | 0.484957i | ||||
\(953\) | 34.5149 | − | 19.9272i | 1.11805 | − | 0.645505i | 0.177145 | − | 0.984185i | \(-0.443314\pi\) |
0.940902 | + | 0.338680i | \(0.109980\pi\) | |||||||
\(954\) | 2.96640 | + | 23.4007i | 0.0960407 | + | 0.757627i | ||||
\(955\) | 6.18226 | + | 3.56933i | 0.200053 | + | 0.115501i | ||||
\(956\) | −24.7104 | − | 18.4054i | −0.799191 | − | 0.595273i | ||||
\(957\) | 12.1732 | + | 4.97217i | 0.393504 | + | 0.160727i | ||||
\(958\) | 36.5597 | + | 41.0917i | 1.18119 | + | 1.32761i | ||||
\(959\) | −2.12809 | + | 12.0690i | −0.0687195 | + | 0.389728i | ||||
\(960\) | 11.5133 | + | 2.50161i | 0.371590 | + | 0.0807392i | ||||
\(961\) | 6.92155 | − | 5.80787i | 0.223276 | − | 0.187351i | ||||
\(962\) | 12.0012 | + | 30.2193i | 0.386934 | + | 0.974310i | ||||
\(963\) | −19.9443 | + | 14.2602i | −0.642696 | + | 0.459527i | ||||
\(964\) | −17.0081 | + | 16.0386i | −0.547792 | + | 0.516568i | ||||
\(965\) | −0.359351 | + | 0.987308i | −0.0115679 | + | 0.0317826i | ||||
\(966\) | 13.6010 | + | 2.53499i | 0.437604 | + | 0.0815619i | ||||
\(967\) | 12.8413 | − | 15.3037i | 0.412948 | − | 0.492132i | −0.518974 | − | 0.854790i | \(-0.673686\pi\) |
0.931923 | + | 0.362657i | \(0.118130\pi\) | |||||||
\(968\) | −19.1192 | − | 1.67963i | −0.614516 | − | 0.0539852i | ||||
\(969\) | 19.6630 | + | 61.3080i | 0.631668 | + | 1.96950i | ||||
\(970\) | 2.49671 | − | 4.62912i | 0.0801646 | − | 0.148632i | ||||
\(971\) | −7.27802 | −0.233563 | −0.116781 | − | 0.993158i | \(-0.537258\pi\) | ||||
−0.116781 | + | 0.993158i | \(0.537258\pi\) | |||||||
\(972\) | −16.6280 | − | 26.3725i | −0.533342 | − | 0.845900i | ||||
\(973\) | −2.93237 | −0.0940074 | ||||||||
\(974\) | −9.72455 | + | 18.0301i | −0.311595 | + | 0.577723i | ||||
\(975\) | 4.87820 | + | 15.2099i | 0.156227 | + | 0.487106i | ||||
\(976\) | 1.46934 | − | 1.55592i | 0.0470325 | − | 0.0498038i | ||||
\(977\) | −11.3127 | + | 13.4819i | −0.361925 | + | 0.431325i | −0.916023 | − | 0.401126i | \(-0.868619\pi\) |
0.554098 | + | 0.832451i | \(0.313063\pi\) | |||||||
\(978\) | 43.4394 | + | 8.09636i | 1.38904 | + | 0.258893i | ||||
\(979\) | 2.76599 | − | 7.59951i | 0.0884015 | − | 0.242881i | ||||
\(980\) | 6.95279 | + | 7.37305i | 0.222099 | + | 0.235524i | ||||
\(981\) | 46.8110 | − | 33.4699i | 1.49456 | − | 1.06861i | ||||
\(982\) | 3.80640 | + | 9.58463i | 0.121467 | + | 0.305858i | ||||
\(983\) | −30.8633 | + | 25.8973i | −0.984385 | + | 0.825997i | −0.984745 | − | 0.174003i | \(-0.944330\pi\) |
0.000360257 | 1.00000i | \(0.499885\pi\) | ||||||||
\(984\) | 19.4070 | − | 4.39556i | 0.618672 | − | 0.140125i | ||||
\(985\) | 0.431616 | − | 2.44782i | 0.0137524 | − | 0.0779939i | ||||
\(986\) | −25.4864 | − | 28.6457i | −0.811651 | − | 0.912264i | ||||
\(987\) | 7.14434 | + | 2.91811i | 0.227407 | + | 0.0928846i | ||||
\(988\) | −13.0613 | + | 17.5356i | −0.415535 | + | 0.557882i | ||||
\(989\) | −26.2459 | − | 15.1531i | −0.834571 | − | 0.481840i | ||||
\(990\) | −0.931328 | − | 7.34687i | −0.0295995 | − | 0.233499i | ||||
\(991\) | 34.6152 | − | 19.9851i | 1.09959 | − | 0.634848i | 0.163476 | − | 0.986547i | \(-0.447729\pi\) |
0.936113 | + | 0.351700i | \(0.114396\pi\) | |||||||
\(992\) | 22.5562 | + | 13.9315i | 0.716159 | + | 0.442324i | ||||
\(993\) | −40.4458 | − | 1.56623i | −1.28351 | − | 0.0497027i | ||||
\(994\) | −3.41728 | − | 16.5599i | −0.108390 | − | 0.525249i | ||||
\(995\) | −11.5338 | + | 4.19796i | −0.365646 | + | 0.133084i | ||||
\(996\) | −16.0013 | − | 8.83248i | −0.507022 | − | 0.279868i | ||||
\(997\) | 4.92799 | + | 27.9480i | 0.156071 | + | 0.885123i | 0.957800 | + | 0.287435i | \(0.0928026\pi\) |
−0.801729 | + | 0.597688i | \(0.796086\pi\) | |||||||
\(998\) | −15.9464 | − | 12.6119i | −0.504775 | − | 0.399222i | ||||
\(999\) | 50.8706 | − | 21.9580i | 1.60947 | − | 0.694719i |
(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 | 108.2.l.a.95.14 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.71.3 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.95.13 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.b.863.9 | 96 | |||
9.4 | even | 3 | 972.2.l.d.539.3 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.539.14 | 96 | |||
9.7 | even | 3 | 972.2.l.c.863.8 | 96 | |||
12.11 | even | 2 | 324.2.l.a.71.4 | 96 | |||
27.2 | odd | 18 | inner | 108.2.l.a.83.13 | ✓ | 96 | |
27.7 | even | 9 | 972.2.l.b.107.16 | 96 | |||
27.11 | odd | 18 | 972.2.l.d.431.10 | 96 | |||
27.16 | even | 9 | 972.2.l.a.431.7 | 96 | |||
27.20 | odd | 18 | 972.2.l.c.107.1 | 96 | |||
27.25 | even | 9 | 324.2.l.a.251.4 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.863.1 | 96 | |||
36.11 | even | 6 | 972.2.l.b.863.16 | 96 | |||
36.23 | even | 6 | 972.2.l.a.539.7 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.539.10 | 96 | |||
108.7 | odd | 18 | 972.2.l.b.107.9 | 96 | |||
108.11 | even | 18 | 972.2.l.d.431.3 | 96 | |||
108.43 | odd | 18 | 972.2.l.a.431.14 | 96 | |||
108.47 | even | 18 | 972.2.l.c.107.8 | 96 | |||
108.79 | odd | 18 | 324.2.l.a.251.3 | 96 | |||
108.83 | even | 18 | inner | 108.2.l.a.83.14 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.83.13 | ✓ | 96 | 27.2 | odd | 18 | inner | |
108.2.l.a.83.14 | yes | 96 | 108.83 | even | 18 | inner | |
108.2.l.a.95.13 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.95.14 | yes | 96 | 1.1 | even | 1 | trivial | |
324.2.l.a.71.3 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.71.4 | 96 | 12.11 | even | 2 | |||
324.2.l.a.251.3 | 96 | 108.79 | odd | 18 | |||
324.2.l.a.251.4 | 96 | 27.25 | even | 9 | |||
972.2.l.a.431.7 | 96 | 27.16 | even | 9 | |||
972.2.l.a.431.14 | 96 | 108.43 | odd | 18 | |||
972.2.l.a.539.7 | 96 | 36.23 | even | 6 | |||
972.2.l.a.539.14 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.107.9 | 96 | 108.7 | odd | 18 | |||
972.2.l.b.107.16 | 96 | 27.7 | even | 9 | |||
972.2.l.b.863.9 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.863.16 | 96 | 36.11 | even | 6 | |||
972.2.l.c.107.1 | 96 | 27.20 | odd | 18 | |||
972.2.l.c.107.8 | 96 | 108.47 | even | 18 | |||
972.2.l.c.863.1 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.863.8 | 96 | 9.7 | even | 3 | |||
972.2.l.d.431.3 | 96 | 108.11 | even | 18 | |||
972.2.l.d.431.10 | 96 | 27.11 | odd | 18 | |||
972.2.l.d.539.3 | 96 | 9.4 | even | 3 | |||
972.2.l.d.539.10 | 96 | 36.31 | odd | 6 |