Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.3 | ||
Character | \(\chi\) | \(=\) | 189.43 |
Dual form | 189.2.v.b.22.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18344 | − | 0.993024i | −0.836819 | − | 0.702174i | 0.120027 | − | 0.992771i | \(-0.461702\pi\) |
−0.956846 | + | 0.290596i | \(0.906146\pi\) | |||||||
\(3\) | 0.993131 | + | 1.41905i | 0.573385 | + | 0.819286i | ||||
\(4\) | 0.0671374 | + | 0.380755i | 0.0335687 | + | 0.190378i | ||||
\(5\) | 2.98981 | + | 1.08820i | 1.33709 | + | 0.486659i | 0.908893 | − | 0.417028i | \(-0.136928\pi\) |
0.428192 | + | 0.903688i | \(0.359151\pi\) | |||||||
\(6\) | 0.233835 | − | 2.66556i | 0.0954628 | − | 1.08821i | ||||
\(7\) | −0.173648 | + | 0.984808i | −0.0656328 | + | 0.372222i | ||||
\(8\) | −1.24623 | + | 2.15853i | −0.440607 | + | 0.763154i | ||||
\(9\) | −1.02738 | + | 2.81860i | −0.342460 | + | 0.939532i | ||||
\(10\) | −2.45765 | − | 4.25678i | −0.777179 | − | 1.34611i | ||||
\(11\) | −3.89325 | + | 1.41703i | −1.17386 | + | 0.427250i | −0.854029 | − | 0.520225i | \(-0.825848\pi\) |
−0.319830 | + | 0.947475i | \(0.603626\pi\) | |||||||
\(12\) | −0.473633 | + | 0.473411i | −0.136726 | + | 0.136662i | ||||
\(13\) | 4.11465 | − | 3.45260i | 1.14120 | − | 0.957580i | 0.141722 | − | 0.989907i | \(-0.454736\pi\) |
0.999477 | + | 0.0323267i | \(0.0102917\pi\) | |||||||
\(14\) | 1.18344 | − | 0.993024i | 0.316288 | − | 0.265397i | ||||
\(15\) | 1.42507 | + | 5.32341i | 0.367951 | + | 1.37450i | ||||
\(16\) | 4.34493 | − | 1.58142i | 1.08623 | − | 0.395356i | ||||
\(17\) | 2.60857 | + | 4.51818i | 0.632671 | + | 1.09582i | 0.987003 | + | 0.160699i | \(0.0513748\pi\) |
−0.354332 | + | 0.935120i | \(0.615292\pi\) | |||||||
\(18\) | 4.01478 | − | 2.31543i | 0.946293 | − | 0.545752i | ||||
\(19\) | 1.20154 | − | 2.08113i | 0.275652 | − | 0.477443i | −0.694647 | − | 0.719350i | \(-0.744440\pi\) |
0.970299 | + | 0.241907i | \(0.0777729\pi\) | |||||||
\(20\) | −0.213611 | + | 1.21145i | −0.0477648 | + | 0.270888i | ||||
\(21\) | −1.56994 | + | 0.731629i | −0.342590 | + | 0.159654i | ||||
\(22\) | 6.01458 | + | 2.18913i | 1.28231 | + | 0.466723i | ||||
\(23\) | −1.54942 | − | 8.78722i | −0.323077 | − | 1.83226i | −0.522855 | − | 0.852421i | \(-0.675133\pi\) |
0.199778 | − | 0.979841i | \(-0.435978\pi\) | |||||||
\(24\) | −4.30071 | + | 0.375249i | −0.877879 | + | 0.0765974i | ||||
\(25\) | 3.92458 | + | 3.29311i | 0.784916 | + | 0.658623i | ||||
\(26\) | −8.29797 | −1.62736 | ||||||||
\(27\) | −5.02004 | + | 1.34134i | −0.966107 | + | 0.258140i | ||||
\(28\) | −0.386629 | −0.0730660 | ||||||||
\(29\) | 3.31484 | + | 2.78148i | 0.615550 | + | 0.516508i | 0.896401 | − | 0.443243i | \(-0.146172\pi\) |
−0.280851 | + | 0.959751i | \(0.590617\pi\) | |||||||
\(30\) | 3.59979 | − | 7.71507i | 0.657230 | − | 1.40857i | ||||
\(31\) | −0.428098 | − | 2.42787i | −0.0768887 | − | 0.436058i | −0.998814 | − | 0.0486897i | \(-0.984495\pi\) |
0.921925 | − | 0.387368i | \(-0.126616\pi\) | |||||||
\(32\) | −2.02808 | − | 0.738161i | −0.358517 | − | 0.130490i | ||||
\(33\) | −5.87734 | − | 4.11741i | −1.02311 | − | 0.716749i | ||||
\(34\) | 1.39957 | − | 7.93736i | 0.240025 | − | 1.36125i | ||||
\(35\) | −1.59085 | + | 2.75543i | −0.268902 | + | 0.465752i | ||||
\(36\) | −1.14217 | − | 0.201947i | −0.190362 | − | 0.0336579i | ||||
\(37\) | −2.98636 | − | 5.17253i | −0.490955 | − | 0.850359i | 0.508991 | − | 0.860772i | \(-0.330019\pi\) |
−0.999946 | + | 0.0104130i | \(0.996685\pi\) | |||||||
\(38\) | −3.48856 | + | 1.26973i | −0.565919 | + | 0.205978i | ||||
\(39\) | 8.98579 | + | 2.40999i | 1.43888 | + | 0.385907i | ||||
\(40\) | −6.07490 | + | 5.09745i | −0.960526 | + | 0.805977i | ||||
\(41\) | −1.98629 | + | 1.66670i | −0.310207 | + | 0.260295i | −0.784578 | − | 0.620031i | \(-0.787120\pi\) |
0.474370 | + | 0.880325i | \(0.342676\pi\) | |||||||
\(42\) | 2.58446 | + | 0.693152i | 0.398791 | + | 0.106956i | ||||
\(43\) | −4.92273 | + | 1.79173i | −0.750709 | + | 0.273236i | −0.688904 | − | 0.724853i | \(-0.741908\pi\) |
−0.0618047 | + | 0.998088i | \(0.519686\pi\) | |||||||
\(44\) | −0.800923 | − | 1.38724i | −0.120744 | − | 0.209134i | ||||
\(45\) | −6.13888 | + | 7.30908i | −0.915131 | + | 1.08957i | ||||
\(46\) | −6.89228 | + | 11.9378i | −1.01621 | + | 1.76013i | ||||
\(47\) | 1.30831 | − | 7.41982i | 0.190837 | − | 1.08229i | −0.727386 | − | 0.686229i | \(-0.759265\pi\) |
0.918223 | − | 0.396063i | \(-0.129624\pi\) | |||||||
\(48\) | 6.55920 | + | 4.59509i | 0.946739 | + | 0.663244i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | −1.37436 | − | 7.79441i | −0.194364 | − | 1.10230i | ||||
\(51\) | −3.82084 | + | 8.18882i | −0.535025 | + | 1.14666i | ||||
\(52\) | 1.59084 | + | 1.33488i | 0.220610 | + | 0.185114i | ||||
\(53\) | −10.1195 | −1.39002 | −0.695009 | − | 0.719001i | \(-0.744600\pi\) | ||||
−0.695009 | + | 0.719001i | \(0.744600\pi\) | |||||||
\(54\) | 7.27290 | + | 3.39763i | 0.989716 | + | 0.462359i | ||||
\(55\) | −13.1821 | −1.77748 | ||||||||
\(56\) | −1.90933 | − | 1.60212i | −0.255145 | − | 0.214092i | ||||
\(57\) | 4.14650 | − | 0.361794i | 0.549218 | − | 0.0479207i | ||||
\(58\) | −1.16084 | − | 6.58343i | −0.152425 | − | 0.864447i | ||||
\(59\) | 6.24728 | + | 2.27382i | 0.813327 | + | 0.296027i | 0.714997 | − | 0.699127i | \(-0.246428\pi\) |
0.0983294 | + | 0.995154i | \(0.468650\pi\) | |||||||
\(60\) | −1.93124 | + | 0.900002i | −0.249322 | + | 0.116190i | ||||
\(61\) | −0.530294 | + | 3.00745i | −0.0678972 | + | 0.385064i | 0.931856 | + | 0.362829i | \(0.118189\pi\) |
−0.999753 | + | 0.0222348i | \(0.992922\pi\) | |||||||
\(62\) | −1.90430 | + | 3.29835i | −0.241847 | + | 0.418890i | ||||
\(63\) | −2.59737 | − | 1.50122i | −0.327238 | − | 0.189136i | ||||
\(64\) | −2.95668 | − | 5.12111i | −0.369584 | − | 0.640139i | ||||
\(65\) | 16.0592 | − | 5.84506i | 1.99190 | − | 0.724991i | ||||
\(66\) | 2.86679 | + | 10.7090i | 0.352878 | + | 1.31819i | ||||
\(67\) | 1.39769 | − | 1.17281i | 0.170756 | − | 0.143281i | −0.553405 | − | 0.832912i | \(-0.686672\pi\) |
0.724161 | + | 0.689631i | \(0.242227\pi\) | |||||||
\(68\) | −1.54519 | + | 1.29656i | −0.187381 | + | 0.157232i | ||||
\(69\) | 10.9307 | − | 10.9256i | 1.31590 | − | 1.31528i | ||||
\(70\) | 4.61888 | − | 1.68113i | 0.552062 | − | 0.200934i | ||||
\(71\) | −5.44802 | − | 9.43624i | −0.646561 | − | 1.11988i | −0.983939 | − | 0.178506i | \(-0.942873\pi\) |
0.337378 | − | 0.941369i | \(-0.390460\pi\) | |||||||
\(72\) | −4.80367 | − | 5.73024i | −0.566118 | − | 0.675315i | ||||
\(73\) | −1.01722 | + | 1.76188i | −0.119057 | + | 0.206213i | −0.919394 | − | 0.393337i | \(-0.871320\pi\) |
0.800337 | + | 0.599550i | \(0.204654\pi\) | |||||||
\(74\) | −1.60227 | + | 9.08691i | −0.186260 | + | 1.05633i | ||||
\(75\) | −0.775455 | + | 8.83965i | −0.0895418 | + | 1.02072i | ||||
\(76\) | 0.873068 | + | 0.317771i | 0.100148 | + | 0.0364508i | ||||
\(77\) | −0.719444 | − | 4.08017i | −0.0819882 | − | 0.464978i | ||||
\(78\) | −8.24097 | − | 11.7752i | −0.933106 | − | 1.33328i | ||||
\(79\) | 6.32921 | + | 5.31084i | 0.712092 | + | 0.597516i | 0.925185 | − | 0.379516i | \(-0.123909\pi\) |
−0.213093 | + | 0.977032i | \(0.568354\pi\) | |||||||
\(80\) | 14.7114 | 1.64479 | ||||||||
\(81\) | −6.88898 | − | 5.79154i | −0.765442 | − | 0.643505i | ||||
\(82\) | 4.00573 | 0.442359 | ||||||||
\(83\) | −2.92307 | − | 2.45275i | −0.320849 | − | 0.269224i | 0.468110 | − | 0.883670i | \(-0.344935\pi\) |
−0.788959 | + | 0.614446i | \(0.789380\pi\) | |||||||
\(84\) | −0.383973 | − | 0.548644i | −0.0418949 | − | 0.0598620i | ||||
\(85\) | 2.88245 | + | 16.3472i | 0.312645 | + | 1.77310i | ||||
\(86\) | 7.60498 | + | 2.76799i | 0.820066 | + | 0.298480i | ||||
\(87\) | −0.654977 | + | 7.46628i | −0.0702209 | + | 0.800470i | ||||
\(88\) | 1.79318 | − | 10.1696i | 0.191154 | − | 1.08409i | ||||
\(89\) | 1.50112 | − | 2.60002i | 0.159118 | − | 0.275601i | −0.775433 | − | 0.631430i | \(-0.782468\pi\) |
0.934551 | + | 0.355829i | \(0.115802\pi\) | |||||||
\(90\) | 14.5231 | − | 2.55380i | 1.53087 | − | 0.269194i | ||||
\(91\) | 2.68565 | + | 4.65168i | 0.281532 | + | 0.487629i | ||||
\(92\) | 3.24176 | − | 1.17990i | 0.337976 | − | 0.123013i | ||||
\(93\) | 3.02009 | − | 3.01868i | 0.313169 | − | 0.313023i | ||||
\(94\) | −8.91637 | + | 7.48173i | −0.919654 | + | 0.771681i | ||||
\(95\) | 5.85707 | − | 4.91467i | 0.600923 | − | 0.504234i | ||||
\(96\) | −0.966666 | − | 3.61103i | −0.0986599 | − | 0.368549i | ||||
\(97\) | −8.60164 | + | 3.13074i | −0.873364 | + | 0.317878i | −0.739529 | − | 0.673125i | \(-0.764952\pi\) |
−0.133835 | + | 0.991004i | \(0.542729\pi\) | |||||||
\(98\) | 0.772436 | + | 1.33790i | 0.0780278 | + | 0.135148i | ||||
\(99\) | 0.00582089 | − | 12.4293i | 0.000585022 | − | 1.24920i | ||||
\(100\) | −0.990384 | + | 1.71539i | −0.0990384 | + | 0.171539i | ||||
\(101\) | −0.193123 | + | 1.09525i | −0.0192164 | + | 0.108982i | −0.992907 | − | 0.118891i | \(-0.962066\pi\) |
0.973691 | + | 0.227873i | \(0.0731771\pi\) | |||||||
\(102\) | 12.6534 | − | 5.89679i | 1.25288 | − | 0.583869i | ||||
\(103\) | 4.89843 | + | 1.78288i | 0.482657 | + | 0.175673i | 0.571877 | − | 0.820339i | \(-0.306215\pi\) |
−0.0892206 | + | 0.996012i | \(0.528438\pi\) | |||||||
\(104\) | 2.32475 | + | 13.1843i | 0.227960 | + | 1.29283i | ||||
\(105\) | −5.49000 | + | 0.479017i | −0.535769 | + | 0.0467473i | ||||
\(106\) | 11.9758 | + | 10.0489i | 1.16319 | + | 0.976035i | ||||
\(107\) | −1.63207 | −0.157779 | −0.0788893 | − | 0.996883i | \(-0.525137\pi\) | ||||
−0.0788893 | + | 0.996883i | \(0.525137\pi\) | |||||||
\(108\) | −0.847753 | − | 1.82135i | −0.0815751 | − | 0.175260i | ||||
\(109\) | 14.5237 | 1.39112 | 0.695558 | − | 0.718470i | \(-0.255157\pi\) | ||||
0.695558 | + | 0.718470i | \(0.255157\pi\) | |||||||
\(110\) | 15.6002 | + | 13.0902i | 1.48743 | + | 1.24810i | ||||
\(111\) | 4.37421 | − | 9.37479i | 0.415181 | − | 0.889815i | ||||
\(112\) | 0.802910 | + | 4.55353i | 0.0758679 | + | 0.430268i | ||||
\(113\) | −0.455975 | − | 0.165961i | −0.0428945 | − | 0.0156123i | 0.320484 | − | 0.947254i | \(-0.396155\pi\) |
−0.363378 | + | 0.931642i | \(0.618377\pi\) | |||||||
\(114\) | −5.26641 | − | 3.68942i | −0.493244 | − | 0.345545i | ||||
\(115\) | 4.92979 | − | 27.9583i | 0.459706 | − | 2.60712i | ||||
\(116\) | −0.836513 | + | 1.44888i | −0.0776683 | + | 0.134525i | ||||
\(117\) | 5.50418 | + | 15.1447i | 0.508862 | + | 1.40013i | ||||
\(118\) | −5.13532 | − | 8.89464i | −0.472745 | − | 0.818818i | ||||
\(119\) | −4.90251 | + | 1.78437i | −0.449412 | + | 0.163573i | ||||
\(120\) | −13.2667 | − | 3.55813i | −1.21108 | − | 0.324811i | ||||
\(121\) | 4.72295 | − | 3.96303i | 0.429359 | − | 0.360275i | ||||
\(122\) | 3.61404 | − | 3.03254i | 0.327200 | − | 0.274553i | ||||
\(123\) | −4.33777 | − | 1.16339i | −0.391124 | − | 0.104899i | ||||
\(124\) | 0.895681 | − | 0.326001i | 0.0804345 | − | 0.0292758i | ||||
\(125\) | 0.195953 | + | 0.339400i | 0.0175265 | + | 0.0303569i | ||||
\(126\) | 1.58309 | + | 4.35586i | 0.141033 | + | 0.388050i | ||||
\(127\) | 1.87989 | − | 3.25606i | 0.166813 | − | 0.288929i | −0.770485 | − | 0.637459i | \(-0.779986\pi\) |
0.937298 | + | 0.348530i | \(0.113319\pi\) | |||||||
\(128\) | −2.33589 | + | 13.2475i | −0.206465 | + | 1.17092i | ||||
\(129\) | −7.43145 | − | 5.20615i | −0.654303 | − | 0.458376i | ||||
\(130\) | −24.8094 | − | 9.02987i | −2.17593 | − | 0.791972i | ||||
\(131\) | −1.29181 | − | 7.32621i | −0.112866 | − | 0.640094i | −0.987785 | − | 0.155825i | \(-0.950196\pi\) |
0.874919 | − | 0.484270i | \(-0.160915\pi\) | |||||||
\(132\) | 1.17313 | − | 2.51426i | 0.102108 | − | 0.218838i | ||||
\(133\) | 1.84087 | + | 1.54467i | 0.159623 | + | 0.133940i | ||||
\(134\) | −2.81871 | −0.243500 | ||||||||
\(135\) | −16.4686 | − | 1.45248i | −1.41739 | − | 0.125009i | ||||
\(136\) | −13.0035 | −1.11504 | ||||||||
\(137\) | 5.59822 | + | 4.69747i | 0.478288 | + | 0.401332i | 0.849807 | − | 0.527094i | \(-0.176718\pi\) |
−0.371519 | + | 0.928425i | \(0.621163\pi\) | |||||||
\(138\) | −23.7852 | + | 2.07532i | −2.02473 | + | 0.176663i | ||||
\(139\) | 3.36385 | + | 19.0773i | 0.285318 | + | 1.61812i | 0.704149 | + | 0.710053i | \(0.251329\pi\) |
−0.418831 | + | 0.908064i | \(0.637560\pi\) | |||||||
\(140\) | −1.15595 | − | 0.420731i | −0.0976955 | − | 0.0355582i | ||||
\(141\) | 11.8284 | − | 5.51230i | 0.996130 | − | 0.464219i | ||||
\(142\) | −2.92301 | + | 16.5772i | −0.245294 | + | 1.39113i | ||||
\(143\) | −11.1269 | + | 19.2724i | −0.930482 | + | 1.61164i | ||||
\(144\) | −0.00649620 | + | 13.8713i | −0.000541350 | + | 1.15594i | ||||
\(145\) | 6.88394 | + | 11.9233i | 0.571680 | + | 0.990179i | ||||
\(146\) | 2.95342 | − | 1.07496i | 0.244427 | − | 0.0889640i | ||||
\(147\) | −0.447896 | − | 1.67314i | −0.0369418 | − | 0.137998i | ||||
\(148\) | 1.76897 | − | 1.48434i | 0.145409 | − | 0.122012i | ||||
\(149\) | −4.98256 | + | 4.18086i | −0.408187 | + | 0.342510i | −0.823648 | − | 0.567101i | \(-0.808065\pi\) |
0.415461 | + | 0.909611i | \(0.363620\pi\) | |||||||
\(150\) | 9.69570 | − | 9.69116i | 0.791650 | − | 0.791280i | ||||
\(151\) | −10.0672 | + | 3.66416i | −0.819257 | + | 0.298185i | −0.717442 | − | 0.696618i | \(-0.754687\pi\) |
−0.101815 | + | 0.994803i | \(0.532465\pi\) | |||||||
\(152\) | 2.99478 | + | 5.18711i | 0.242909 | + | 0.420730i | ||||
\(153\) | −15.4149 | + | 2.71062i | −1.24622 | + | 0.219141i | ||||
\(154\) | −3.20029 | + | 5.54306i | −0.257887 | + | 0.446673i | ||||
\(155\) | 1.36208 | − | 7.72473i | 0.109405 | − | 0.620465i | ||||
\(156\) | −0.314334 | + | 3.58319i | −0.0251668 | + | 0.286885i | ||||
\(157\) | 2.45598 | + | 0.893905i | 0.196009 | + | 0.0713414i | 0.438159 | − | 0.898897i | \(-0.355631\pi\) |
−0.242151 | + | 0.970239i | \(0.577853\pi\) | |||||||
\(158\) | −2.21645 | − | 12.5701i | −0.176331 | − | 1.00003i | ||||
\(159\) | −10.0500 | − | 14.3600i | −0.797015 | − | 1.13882i | ||||
\(160\) | −5.26031 | − | 4.41393i | −0.415864 | − | 0.348952i | ||||
\(161\) | 8.92278 | 0.703214 | ||||||||
\(162\) | 2.40155 | + | 13.6949i | 0.188684 | + | 1.07597i | ||||
\(163\) | −3.10700 | −0.243359 | −0.121679 | − | 0.992569i | \(-0.538828\pi\) | ||||
−0.121679 | + | 0.992569i | \(0.538828\pi\) | |||||||
\(164\) | −0.767959 | − | 0.644394i | −0.0599675 | − | 0.0503187i | ||||
\(165\) | −13.0916 | − | 18.7060i | −1.01918 | − | 1.45626i | ||||
\(166\) | 1.02364 | + | 5.80536i | 0.0794500 | + | 0.450584i | ||||
\(167\) | −9.77915 | − | 3.55932i | −0.756733 | − | 0.275428i | −0.0652971 | − | 0.997866i | \(-0.520799\pi\) |
−0.691436 | + | 0.722437i | \(0.743022\pi\) | |||||||
\(168\) | 0.377263 | − | 4.30054i | 0.0291065 | − | 0.331794i | ||||
\(169\) | 2.75247 | − | 15.6100i | 0.211728 | − | 1.20077i | ||||
\(170\) | 12.8219 | − | 22.2082i | 0.983397 | − | 1.70329i | ||||
\(171\) | 4.63142 | + | 5.52477i | 0.354174 | + | 0.422489i | ||||
\(172\) | −1.01271 | − | 1.75406i | −0.0772182 | − | 0.133746i | ||||
\(173\) | 4.88504 | − | 1.77801i | 0.371403 | − | 0.135180i | −0.149574 | − | 0.988751i | \(-0.547790\pi\) |
0.520976 | + | 0.853571i | \(0.325568\pi\) | |||||||
\(174\) | 8.18933 | − | 8.18549i | 0.620831 | − | 0.620541i | ||||
\(175\) | −3.92458 | + | 3.29311i | −0.296670 | + | 0.248936i | ||||
\(176\) | −14.6750 | + | 12.3138i | −1.10617 | + | 0.928185i | ||||
\(177\) | 2.97771 | + | 11.1234i | 0.223818 | + | 0.836085i | ||||
\(178\) | −4.35836 | + | 1.58631i | −0.326673 | + | 0.118899i | ||||
\(179\) | 9.16859 | + | 15.8805i | 0.685293 | + | 1.18696i | 0.973345 | + | 0.229347i | \(0.0736591\pi\) |
−0.288052 | + | 0.957615i | \(0.593008\pi\) | |||||||
\(180\) | −3.19512 | − | 1.84670i | −0.238150 | − | 0.137645i | ||||
\(181\) | 9.13997 | − | 15.8309i | 0.679368 | − | 1.17670i | −0.295803 | − | 0.955249i | \(-0.595587\pi\) |
0.975171 | − | 0.221452i | \(-0.0710795\pi\) | |||||||
\(182\) | 1.44093 | − | 8.17190i | 0.106809 | − | 0.605742i | ||||
\(183\) | −4.79436 | + | 2.23428i | −0.354409 | + | 0.165163i | ||||
\(184\) | 20.8984 | + | 7.60639i | 1.54065 | + | 0.560750i | ||||
\(185\) | −3.29990 | − | 18.7147i | −0.242614 | − | 1.37593i | ||||
\(186\) | −6.57173 | + | 0.573401i | −0.481862 | + | 0.0420438i | ||||
\(187\) | −16.5582 | − | 13.8940i | −1.21086 | − | 1.01603i | ||||
\(188\) | 2.91297 | 0.212450 | ||||||||
\(189\) | −0.449238 | − | 5.17670i | −0.0326773 | − | 0.376549i | ||||
\(190\) | −11.8119 | −0.856924 | ||||||||
\(191\) | 7.20377 | + | 6.04468i | 0.521246 | + | 0.437377i | 0.865066 | − | 0.501658i | \(-0.167276\pi\) |
−0.343820 | + | 0.939036i | \(0.611721\pi\) | |||||||
\(192\) | 4.33072 | − | 9.28159i | 0.312543 | − | 0.669841i | ||||
\(193\) | −1.50538 | − | 8.53741i | −0.108359 | − | 0.614536i | −0.989825 | − | 0.142289i | \(-0.954554\pi\) |
0.881466 | − | 0.472248i | \(-0.156557\pi\) | |||||||
\(194\) | 13.2884 | + | 4.83659i | 0.954053 | + | 0.347247i | ||||
\(195\) | 24.2433 | + | 16.9838i | 1.73610 | + | 1.21623i | ||||
\(196\) | 0.0671374 | − | 0.380755i | 0.00479553 | − | 0.0271968i | ||||
\(197\) | 10.2460 | − | 17.7465i | 0.729995 | − | 1.26439i | −0.226889 | − | 0.973921i | \(-0.572856\pi\) |
0.956885 | − | 0.290469i | \(-0.0938112\pi\) | |||||||
\(198\) | −12.3495 | + | 14.7036i | −0.877642 | + | 1.04494i | ||||
\(199\) | 6.43853 | + | 11.1519i | 0.456416 | + | 0.790535i | 0.998768 | − | 0.0496159i | \(-0.0157997\pi\) |
−0.542353 | + | 0.840151i | \(0.682466\pi\) | |||||||
\(200\) | −11.9992 | + | 4.36735i | −0.848470 | + | 0.308818i | ||||
\(201\) | 3.05236 | + | 0.818643i | 0.215297 | + | 0.0577426i | ||||
\(202\) | 1.31616 | − | 1.10439i | 0.0926048 | − | 0.0777046i | ||||
\(203\) | −3.31484 | + | 2.78148i | −0.232656 | + | 0.195222i | ||||
\(204\) | −3.37446 | − | 0.905030i | −0.236259 | − | 0.0633648i | ||||
\(205\) | −7.75236 | + | 2.82163i | −0.541448 | + | 0.197071i | ||||
\(206\) | −4.02655 | − | 6.97420i | −0.280543 | − | 0.485915i | ||||
\(207\) | 26.3595 | + | 4.66062i | 1.83211 | + | 0.323935i | ||||
\(208\) | 12.4178 | − | 21.5083i | 0.861022 | − | 1.49133i | ||||
\(209\) | −1.72888 | + | 9.80497i | −0.119589 | + | 0.678224i | ||||
\(210\) | 6.97276 | + | 4.88481i | 0.481166 | + | 0.337084i | ||||
\(211\) | 4.71860 | + | 1.71743i | 0.324842 | + | 0.118233i | 0.499293 | − | 0.866433i | \(-0.333593\pi\) |
−0.174452 | + | 0.984666i | \(0.555815\pi\) | |||||||
\(212\) | −0.679396 | − | 3.85305i | −0.0466611 | − | 0.264628i | ||||
\(213\) | 7.97986 | − | 17.1024i | 0.546771 | − | 1.17184i | ||||
\(214\) | 1.93146 | + | 1.62069i | 0.132032 | + | 0.110788i | ||||
\(215\) | −16.6678 | −1.13673 | ||||||||
\(216\) | 3.36079 | − | 12.5075i | 0.228673 | − | 0.851028i | ||||
\(217\) | 2.46532 | 0.167357 | ||||||||
\(218\) | −17.1879 | − | 14.4224i | −1.16411 | − | 0.976806i | ||||
\(219\) | −3.51043 | + | 0.306295i | −0.237213 | + | 0.0206975i | ||||
\(220\) | −0.885013 | − | 5.01916i | −0.0596676 | − | 0.338392i | ||||
\(221\) | 26.3328 | + | 9.58436i | 1.77134 | + | 0.644714i | ||||
\(222\) | −14.4860 | + | 6.75081i | −0.972237 | + | 0.453084i | ||||
\(223\) | −3.69198 | + | 20.9382i | −0.247233 | + | 1.40213i | 0.568016 | + | 0.823017i | \(0.307711\pi\) |
−0.815249 | + | 0.579111i | \(0.803400\pi\) | |||||||
\(224\) | 1.07912 | − | 1.86909i | 0.0721017 | − | 0.124884i | ||||
\(225\) | −13.3140 | + | 7.67853i | −0.887600 | + | 0.511902i | ||||
\(226\) | 0.374816 | + | 0.649200i | 0.0249324 | + | 0.0431841i | ||||
\(227\) | −1.41091 | + | 0.513528i | −0.0936451 | + | 0.0340840i | −0.388418 | − | 0.921483i | \(-0.626978\pi\) |
0.294773 | + | 0.955567i | \(0.404756\pi\) | |||||||
\(228\) | 0.416140 | + | 1.55451i | 0.0275595 | + | 0.102950i | ||||
\(229\) | −3.37148 | + | 2.82901i | −0.222794 | + | 0.186946i | −0.747352 | − | 0.664428i | \(-0.768675\pi\) |
0.524558 | + | 0.851375i | \(0.324231\pi\) | |||||||
\(230\) | −33.5973 | + | 28.1915i | −2.21534 | + | 1.85889i | ||||
\(231\) | 5.07544 | − | 5.07307i | 0.333940 | − | 0.333783i | ||||
\(232\) | −10.1349 | + | 3.68882i | −0.665391 | + | 0.242183i | ||||
\(233\) | −13.2486 | − | 22.9473i | −0.867946 | − | 1.50333i | −0.864092 | − | 0.503334i | \(-0.832107\pi\) |
−0.00385387 | − | 0.999993i | \(-0.501227\pi\) | |||||||
\(234\) | 8.52517 | − | 23.3886i | 0.557308 | − | 1.52896i | ||||
\(235\) | 11.9859 | − | 20.7602i | 0.781873 | − | 1.35424i | ||||
\(236\) | −0.446344 | + | 2.53134i | −0.0290545 | + | 0.164776i | ||||
\(237\) | −1.25058 | + | 14.2558i | −0.0812342 | + | 0.926014i | ||||
\(238\) | 7.57375 | + | 2.75662i | 0.490933 | + | 0.178685i | ||||
\(239\) | 1.71465 | + | 9.72429i | 0.110912 | + | 0.629012i | 0.988693 | + | 0.149951i | \(0.0479116\pi\) |
−0.877782 | + | 0.479061i | \(0.840977\pi\) | |||||||
\(240\) | 14.6104 | + | 20.8762i | 0.943097 | + | 1.34755i | ||||
\(241\) | −4.43985 | − | 3.72548i | −0.285996 | − | 0.239979i | 0.488491 | − | 0.872569i | \(-0.337547\pi\) |
−0.774487 | + | 0.632590i | \(0.781992\pi\) | |||||||
\(242\) | −9.52472 | −0.612272 | ||||||||
\(243\) | 1.37680 | − | 15.5275i | 0.0883220 | − | 0.996092i | ||||
\(244\) | −1.18070 | −0.0755868 | ||||||||
\(245\) | −2.43732 | − | 2.04515i | −0.155715 | − | 0.130660i | ||||
\(246\) | 3.97822 | + | 5.68432i | 0.253642 | + | 0.362419i | ||||
\(247\) | −2.24139 | − | 12.7116i | −0.142616 | − | 0.808817i | ||||
\(248\) | 5.77412 | + | 2.10161i | 0.366657 | + | 0.133452i | ||||
\(249\) | 0.577568 | − | 6.58387i | 0.0366019 | − | 0.417236i | ||||
\(250\) | 0.105134 | − | 0.596246i | 0.00664927 | − | 0.0377099i | ||||
\(251\) | −8.08983 | + | 14.0120i | −0.510626 | + | 0.884430i | 0.489299 | + | 0.872116i | \(0.337253\pi\) |
−0.999924 | + | 0.0123132i | \(0.996080\pi\) | |||||||
\(252\) | 0.397215 | − | 1.08975i | 0.0250222 | − | 0.0686479i | ||||
\(253\) | 18.4840 | + | 32.0153i | 1.16208 | + | 2.01278i | ||||
\(254\) | −5.45809 | + | 1.98658i | −0.342471 | + | 0.124649i | ||||
\(255\) | −20.3347 | + | 20.3252i | −1.27341 | + | 1.27281i | ||||
\(256\) | 6.85968 | − | 5.75595i | 0.428730 | − | 0.359747i | ||||
\(257\) | 5.25184 | − | 4.40682i | 0.327601 | − | 0.274890i | −0.464121 | − | 0.885772i | \(-0.653630\pi\) |
0.791722 | + | 0.610882i | \(0.209185\pi\) | |||||||
\(258\) | 3.62484 | + | 13.5408i | 0.225673 | + | 0.843012i | ||||
\(259\) | 5.61253 | − | 2.04279i | 0.348745 | − | 0.126933i | ||||
\(260\) | 3.30371 | + | 5.72219i | 0.204887 | + | 0.354875i | ||||
\(261\) | −11.2455 | + | 6.48556i | −0.696077 | + | 0.401446i | ||||
\(262\) | −5.74633 | + | 9.95294i | −0.355010 | + | 0.614894i | ||||
\(263\) | −1.58675 | + | 8.99893i | −0.0978434 | + | 0.554898i | 0.895995 | + | 0.444063i | \(0.146463\pi\) |
−0.993839 | + | 0.110834i | \(0.964648\pi\) | |||||||
\(264\) | 16.2120 | − | 7.55517i | 0.997781 | − | 0.464988i | ||||
\(265\) | −30.2554 | − | 11.0121i | −1.85857 | − | 0.676465i | ||||
\(266\) | −0.644660 | − | 3.65605i | −0.0395266 | − | 0.224167i | ||||
\(267\) | 5.18035 | − | 0.452000i | 0.317032 | − | 0.0276619i | ||||
\(268\) | 0.540389 | + | 0.453440i | 0.0330095 | + | 0.0276983i | ||||
\(269\) | 2.46576 | 0.150340 | 0.0751701 | − | 0.997171i | \(-0.476050\pi\) | ||||
0.0751701 | + | 0.997171i | \(0.476050\pi\) | |||||||
\(270\) | 18.0473 | + | 18.0727i | 1.09832 | + | 1.09987i | ||||
\(271\) | 11.4425 | 0.695084 | 0.347542 | − | 0.937664i | \(-0.387016\pi\) | ||||
0.347542 | + | 0.937664i | \(0.387016\pi\) | |||||||
\(272\) | 18.4792 | + | 15.5059i | 1.12047 | + | 0.940183i | ||||
\(273\) | −3.93374 | + | 8.43079i | −0.238081 | + | 0.510254i | ||||
\(274\) | −1.96046 | − | 11.1183i | −0.118436 | − | 0.671684i | ||||
\(275\) | −19.9458 | − | 7.25968i | −1.20278 | − | 0.437775i | ||||
\(276\) | 4.89382 | + | 3.42840i | 0.294574 | + | 0.206365i | ||||
\(277\) | −2.86726 | + | 16.2610i | −0.172277 | + | 0.977031i | 0.768963 | + | 0.639293i | \(0.220773\pi\) |
−0.941240 | + | 0.337738i | \(0.890338\pi\) | |||||||
\(278\) | 14.9633 | − | 25.9173i | 0.897441 | − | 1.55441i | ||||
\(279\) | 7.28300 | + | 1.28771i | 0.436022 | + | 0.0770929i | ||||
\(280\) | −3.96511 | − | 6.86777i | −0.236961 | − | 0.410428i | ||||
\(281\) | 14.5663 | − | 5.30170i | 0.868953 | − | 0.316273i | 0.131210 | − | 0.991355i | \(-0.458114\pi\) |
0.737743 | + | 0.675082i | \(0.235892\pi\) | |||||||
\(282\) | −19.4720 | − | 5.22240i | −1.15954 | − | 0.310990i | ||||
\(283\) | 1.42091 | − | 1.19228i | 0.0844642 | − | 0.0708738i | −0.599578 | − | 0.800316i | \(-0.704665\pi\) |
0.684042 | + | 0.729443i | \(0.260220\pi\) | |||||||
\(284\) | 3.22713 | − | 2.70788i | 0.191495 | − | 0.160683i | ||||
\(285\) | 12.7910 | + | 3.43054i | 0.757672 | + | 0.203208i | ||||
\(286\) | 32.3061 | − | 11.7584i | 1.91030 | − | 0.695292i | ||||
\(287\) | −1.29646 | − | 2.24554i | −0.0765277 | − | 0.132550i | ||||
\(288\) | 4.16419 | − | 4.95797i | 0.245377 | − | 0.292151i | ||||
\(289\) | −5.10927 | + | 8.84952i | −0.300545 | + | 0.520560i | ||||
\(290\) | 3.69343 | − | 20.9465i | 0.216886 | − | 1.23002i | ||||
\(291\) | −12.9852 | − | 9.09688i | −0.761207 | − | 0.533268i | ||||
\(292\) | −0.739140 | − | 0.269025i | −0.0432549 | − | 0.0157435i | ||||
\(293\) | −1.53948 | − | 8.73082i | −0.0899373 | − | 0.510060i | −0.996182 | − | 0.0873053i | \(-0.972174\pi\) |
0.906244 | − | 0.422754i | \(-0.138937\pi\) | |||||||
\(294\) | −1.13141 | + | 2.42483i | −0.0659851 | + | 0.141419i | ||||
\(295\) | 16.2038 | + | 13.5966i | 0.943423 | + | 0.791626i | ||||
\(296\) | 14.8867 | 0.865273 | ||||||||
\(297\) | 17.6436 | − | 12.3357i | 1.02378 | − | 0.715790i | ||||
\(298\) | 10.0483 | 0.582080 | ||||||||
\(299\) | −36.7141 | − | 30.8068i | −2.12323 | − | 1.78160i | ||||
\(300\) | −3.41780 | + | 0.298213i | −0.197327 | + | 0.0172173i | ||||
\(301\) | −0.909683 | − | 5.15907i | −0.0524332 | − | 0.297364i | ||||
\(302\) | 15.5525 | + | 5.66066i | 0.894948 | + | 0.325734i | ||||
\(303\) | −1.74601 | + | 0.813680i | −0.100306 | + | 0.0467447i | ||||
\(304\) | 1.92946 | − | 10.9425i | 0.110662 | − | 0.627595i | ||||
\(305\) | −4.85820 | + | 8.41464i | −0.278180 | + | 0.481821i | ||||
\(306\) | 20.9343 | + | 12.0995i | 1.19674 | + | 0.691684i | ||||
\(307\) | −8.51787 | − | 14.7534i | −0.486140 | − | 0.842020i | 0.513733 | − | 0.857950i | \(-0.328262\pi\) |
−0.999873 | + | 0.0159306i | \(0.994929\pi\) | |||||||
\(308\) | 1.50524 | − | 0.547864i | 0.0857692 | − | 0.0312174i | ||||
\(309\) | 2.33479 | + | 8.72173i | 0.132822 | + | 0.496162i | ||||
\(310\) | −9.28278 | + | 7.78918i | −0.527226 | + | 0.442396i | ||||
\(311\) | −17.4993 | + | 14.6836i | −0.992292 | + | 0.832632i | −0.985898 | − | 0.167348i | \(-0.946480\pi\) |
−0.00639414 | + | 0.999980i | \(0.502035\pi\) | |||||||
\(312\) | −16.4004 | + | 16.3927i | −0.928487 | + | 0.928052i | ||||
\(313\) | −2.03841 | + | 0.741919i | −0.115218 | + | 0.0419358i | −0.398986 | − | 0.916957i | \(-0.630638\pi\) |
0.283768 | + | 0.958893i | \(0.408415\pi\) | |||||||
\(314\) | −2.01884 | − | 3.49674i | −0.113930 | − | 0.197332i | ||||
\(315\) | −6.13203 | − | 7.31483i | −0.345501 | − | 0.412144i | ||||
\(316\) | −1.59720 | + | 2.76644i | −0.0898496 | + | 0.155624i | ||||
\(317\) | −0.674463 | + | 3.82507i | −0.0378816 | + | 0.214837i | −0.997873 | − | 0.0651934i | \(-0.979234\pi\) |
0.959991 | + | 0.280031i | \(0.0903447\pi\) | |||||||
\(318\) | −2.36629 | + | 26.9741i | −0.132695 | + | 1.51263i | ||||
\(319\) | −16.8469 | − | 6.13178i | −0.943248 | − | 0.343314i | ||||
\(320\) | −3.26710 | − | 18.5286i | −0.182636 | − | 1.03578i | ||||
\(321\) | −1.62086 | − | 2.31599i | −0.0904678 | − | 0.129266i | ||||
\(322\) | −10.5596 | − | 8.86054i | −0.588462 | − | 0.493778i | ||||
\(323\) | 12.5372 | 0.697588 | ||||||||
\(324\) | 1.74265 | − | 3.01184i | 0.0968140 | − | 0.167325i | ||||
\(325\) | 27.5181 | 1.52643 | ||||||||
\(326\) | 3.67694 | + | 3.08532i | 0.203647 | + | 0.170880i | ||||
\(327\) | 14.4239 | + | 20.6098i | 0.797645 | + | 1.13972i | ||||
\(328\) | −1.12224 | − | 6.36455i | −0.0619655 | − | 0.351424i | ||||
\(329\) | 7.07991 | + | 2.57688i | 0.390328 | + | 0.142068i | ||||
\(330\) | −3.08244 | + | 35.1377i | −0.169683 | + | 1.93427i | ||||
\(331\) | −3.43027 | + | 19.4541i | −0.188545 | + | 1.06929i | 0.732771 | + | 0.680476i | \(0.238227\pi\) |
−0.921316 | + | 0.388816i | \(0.872884\pi\) | |||||||
\(332\) | 0.737649 | − | 1.27765i | 0.0404837 | − | 0.0701199i | ||||
\(333\) | 17.6474 | − | 3.10319i | 0.967072 | − | 0.170054i | ||||
\(334\) | 8.03855 | + | 13.9232i | 0.439850 | + | 0.761842i | ||||
\(335\) | 5.45510 | − | 1.98549i | 0.298044 | − | 0.108479i | ||||
\(336\) | −5.66427 | + | 5.66162i | −0.309011 | + | 0.308867i | ||||
\(337\) | −8.83540 | + | 7.41378i | −0.481295 | + | 0.403854i | −0.850894 | − | 0.525337i | \(-0.823939\pi\) |
0.369599 | + | 0.929191i | \(0.379495\pi\) | |||||||
\(338\) | −18.7585 | + | 15.7403i | −1.02033 | + | 0.856157i | ||||
\(339\) | −0.217336 | − | 0.811871i | −0.0118041 | − | 0.0440948i | ||||
\(340\) | −6.03074 | + | 2.19501i | −0.327063 | + | 0.119041i | ||||
\(341\) | 5.10705 | + | 8.84567i | 0.276562 | + | 0.479020i | ||||
\(342\) | 0.00521583 | − | 11.1373i | 0.000282040 | − | 0.602239i | ||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 2.26734 | − | 12.8587i | 0.122247 | − | 0.693296i | ||||
\(345\) | 44.5700 | − | 20.7706i | 2.39957 | − | 1.11825i | ||||
\(346\) | −7.54676 | − | 2.74680i | −0.405716 | − | 0.147669i | ||||
\(347\) | −3.25034 | − | 18.4336i | −0.174487 | − | 0.989567i | −0.938734 | − | 0.344643i | \(-0.888000\pi\) |
0.764247 | − | 0.644924i | \(-0.223111\pi\) | |||||||
\(348\) | −2.88680 | + | 0.251881i | −0.154749 | + | 0.0135022i | ||||
\(349\) | −22.0848 | − | 18.5313i | −1.18217 | − | 0.991960i | −0.999962 | − | 0.00870003i | \(-0.997231\pi\) |
−0.182209 | − | 0.983260i | \(-0.558325\pi\) | |||||||
\(350\) | 7.91465 | 0.423056 | ||||||||
\(351\) | −16.0246 | + | 22.8513i | −0.855331 | + | 1.21971i | ||||
\(352\) | 8.94182 | 0.476601 | ||||||||
\(353\) | −24.9438 | − | 20.9303i | −1.32763 | − | 1.11401i | −0.984626 | − | 0.174674i | \(-0.944113\pi\) |
−0.342999 | − | 0.939336i | \(-0.611443\pi\) | |||||||
\(354\) | 7.52185 | − | 16.1208i | 0.399782 | − | 0.856811i | ||||
\(355\) | −6.02001 | − | 34.1412i | −0.319509 | − | 1.81202i | ||||
\(356\) | 1.09075 | + | 0.397001i | 0.0578097 | + | 0.0210410i | ||||
\(357\) | −7.40093 | − | 5.18477i | −0.391699 | − | 0.274407i | ||||
\(358\) | 4.91921 | − | 27.8982i | 0.259988 | − | 1.47447i | ||||
\(359\) | −13.1858 | + | 22.8385i | −0.695920 | + | 1.20537i | 0.273950 | + | 0.961744i | \(0.411670\pi\) |
−0.969870 | + | 0.243624i | \(0.921664\pi\) | |||||||
\(360\) | −8.12641 | − | 22.3597i | −0.428300 | − | 1.17846i | ||||
\(361\) | 6.61261 | + | 11.4534i | 0.348032 | + | 0.602809i | ||||
\(362\) | −26.5371 | + | 9.65870i | −1.39476 | + | 0.507650i | ||||
\(363\) | 10.3142 | + | 2.76628i | 0.541357 | + | 0.145192i | ||||
\(364\) | −1.59084 | + | 1.33488i | −0.0833828 | + | 0.0699665i | ||||
\(365\) | −4.95860 | + | 4.16076i | −0.259545 | + | 0.217784i | ||||
\(366\) | 7.89253 | + | 2.11678i | 0.412549 | + | 0.110646i | ||||
\(367\) | 21.1502 | − | 7.69803i | 1.10403 | − | 0.401834i | 0.275229 | − | 0.961379i | \(-0.411246\pi\) |
0.828800 | + | 0.559545i | \(0.189024\pi\) | |||||||
\(368\) | −20.6285 | − | 35.7296i | −1.07533 | − | 1.86253i | ||||
\(369\) | −2.65707 | − | 7.31090i | −0.138322 | − | 0.380590i | ||||
\(370\) | −14.6789 | + | 25.4246i | −0.763119 | + | 1.32176i | ||||
\(371\) | 1.75723 | − | 9.96575i | 0.0912308 | − | 0.517396i | ||||
\(372\) | 1.35214 | + | 0.947250i | 0.0701052 | + | 0.0491126i | ||||
\(373\) | 34.0906 | + | 12.4079i | 1.76514 | + | 0.642459i | 0.999999 | − | 0.00140081i | \(-0.000445891\pi\) |
0.765143 | + | 0.643860i | \(0.222668\pi\) | |||||||
\(374\) | 5.79858 | + | 32.8854i | 0.299838 | + | 1.70046i | ||||
\(375\) | −0.287017 | + | 0.615135i | −0.0148215 | + | 0.0317654i | ||||
\(376\) | 14.3854 | + | 12.0708i | 0.741871 | + | 0.622504i | ||||
\(377\) | 23.2428 | 1.19706 | ||||||||
\(378\) | −4.60894 | + | 6.57242i | −0.237058 | + | 0.338049i | ||||
\(379\) | −20.9207 | −1.07462 | −0.537312 | − | 0.843384i | \(-0.680560\pi\) | ||||
−0.537312 | + | 0.843384i | \(0.680560\pi\) | |||||||
\(380\) | 2.26451 | + | 1.90015i | 0.116167 | + | 0.0974757i | ||||
\(381\) | 6.48748 | − | 0.566050i | 0.332364 | − | 0.0289996i | ||||
\(382\) | −2.52272 | − | 14.3070i | −0.129073 | − | 0.732011i | ||||
\(383\) | 4.81231 | + | 1.75154i | 0.245897 | + | 0.0894993i | 0.462029 | − | 0.886865i | \(-0.347122\pi\) |
−0.216131 | + | 0.976364i | \(0.569344\pi\) | |||||||
\(384\) | −21.1186 | + | 9.84176i | −1.07771 | + | 0.502235i | ||||
\(385\) | 2.28905 | − | 12.9818i | 0.116661 | − | 0.661616i | ||||
\(386\) | −6.69634 | + | 11.5984i | −0.340834 | + | 0.590343i | ||||
\(387\) | 0.00736008 | − | 15.7160i | 0.000374134 | − | 0.798887i | ||||
\(388\) | −1.76954 | − | 3.06493i | −0.0898346 | − | 0.155598i | ||||
\(389\) | −8.36001 | + | 3.04280i | −0.423870 | + | 0.154276i | −0.545143 | − | 0.838343i | \(-0.683525\pi\) |
0.121273 | + | 0.992619i | \(0.461302\pi\) | |||||||
\(390\) | −11.8252 | − | 44.1735i | −0.598790 | − | 2.23681i | ||||
\(391\) | 35.6604 | − | 29.9227i | 1.80343 | − | 1.51325i | ||||
\(392\) | 1.90933 | − | 1.60212i | 0.0964357 | − | 0.0809191i | ||||
\(393\) | 9.11330 | − | 9.10903i | 0.459705 | − | 0.459490i | ||||
\(394\) | −29.7483 | + | 10.8275i | −1.49870 | + | 0.545481i | ||||
\(395\) | 13.1439 | + | 22.7659i | 0.661341 | + | 1.14548i | ||||
\(396\) | 4.73292 | − | 0.832257i | 0.237838 | − | 0.0418225i | ||||
\(397\) | −13.5641 | + | 23.4937i | −0.680763 | + | 1.17912i | 0.293985 | + | 0.955810i | \(0.405019\pi\) |
−0.974748 | + | 0.223307i | \(0.928315\pi\) | |||||||
\(398\) | 3.45446 | − | 19.5912i | 0.173156 | − | 0.982018i | ||||
\(399\) | −0.363735 | + | 4.14633i | −0.0182095 | + | 0.207576i | ||||
\(400\) | 22.2598 | + | 8.10191i | 1.11299 | + | 0.405096i | ||||
\(401\) | 6.50486 | + | 36.8909i | 0.324837 | + | 1.84224i | 0.510816 | + | 0.859690i | \(0.329343\pi\) |
−0.185978 | + | 0.982554i | \(0.559545\pi\) | |||||||
\(402\) | −2.79935 | − | 3.99988i | −0.139619 | − | 0.199496i | ||||
\(403\) | −10.1439 | − | 8.51177i | −0.505305 | − | 0.424002i | ||||
\(404\) | −0.429989 | −0.0213927 | ||||||||
\(405\) | −14.2944 | − | 24.8122i | −0.710294 | − | 1.23293i | ||||
\(406\) | 6.68499 | 0.331771 | ||||||||
\(407\) | 18.9563 | + | 15.9062i | 0.939628 | + | 0.788441i | ||||
\(408\) | −12.9141 | − | 18.4525i | −0.639346 | − | 0.913535i | ||||
\(409\) | 3.58315 | + | 20.3210i | 0.177175 | + | 1.00481i | 0.935603 | + | 0.353053i | \(0.114857\pi\) |
−0.758428 | + | 0.651757i | \(0.774032\pi\) | |||||||
\(410\) | 11.9764 | + | 4.35905i | 0.591472 | + | 0.215278i | ||||
\(411\) | −1.10615 | + | 12.6093i | −0.0545623 | + | 0.621972i | ||||
\(412\) | −0.349974 | + | 1.98480i | −0.0172420 | + | 0.0977841i | ||||
\(413\) | −3.32411 | + | 5.75752i | −0.163569 | + | 0.283309i | ||||
\(414\) | −26.5668 | − | 31.6912i | −1.30569 | − | 1.55754i | ||||
\(415\) | −6.07035 | − | 10.5142i | −0.297982 | − | 0.516120i | ||||
\(416\) | −10.8934 | + | 3.96488i | −0.534094 | + | 0.194394i | ||||
\(417\) | −23.7308 | + | 23.7197i | −1.16210 | + | 1.16156i | ||||
\(418\) | 11.7826 | − | 9.88678i | 0.576306 | − | 0.483578i | ||||
\(419\) | −3.77021 | + | 3.16358i | −0.184187 | + | 0.154551i | −0.730219 | − | 0.683213i | \(-0.760582\pi\) |
0.546032 | + | 0.837764i | \(0.316138\pi\) | |||||||
\(420\) | −0.550972 | − | 2.05818i | −0.0268847 | − | 0.100429i | ||||
\(421\) | −19.4965 | + | 7.09613i | −0.950199 | + | 0.345844i | −0.770186 | − | 0.637820i | \(-0.779836\pi\) |
−0.180014 | + | 0.983664i | \(0.557614\pi\) | |||||||
\(422\) | −3.87873 | − | 6.71816i | −0.188814 | − | 0.327035i | ||||
\(423\) | 19.5693 | + | 11.3106i | 0.951494 | + | 0.549940i | ||||
\(424\) | 12.6112 | − | 21.8432i | 0.612452 | − | 1.06080i | ||||
\(425\) | −4.64132 | + | 26.3223i | −0.225137 | + | 1.27682i | ||||
\(426\) | −26.4268 | + | 12.3155i | −1.28038 | + | 0.596687i | ||||
\(427\) | −2.86967 | − | 1.04448i | −0.138873 | − | 0.0505457i | ||||
\(428\) | −0.109573 | − | 0.621420i | −0.00529642 | − | 0.0300375i | ||||
\(429\) | −38.3990 | + | 3.35041i | −1.85392 | + | 0.161760i | ||||
\(430\) | 19.7253 | + | 16.5515i | 0.951240 | + | 0.798186i | ||||
\(431\) | 0.366400 | 0.0176488 | 0.00882442 | − | 0.999961i | \(-0.497191\pi\) | ||||
0.00882442 | + | 0.999961i | \(0.497191\pi\) | |||||||
\(432\) | −19.6905 | + | 13.7668i | −0.947359 | + | 0.662357i | ||||
\(433\) | −34.5139 | −1.65863 | −0.829316 | − | 0.558780i | \(-0.811269\pi\) | ||||
−0.829316 | + | 0.558780i | \(0.811269\pi\) | |||||||
\(434\) | −2.91756 | − | 2.44812i | −0.140047 | − | 0.117514i | ||||
\(435\) | −10.0831 | + | 21.6101i | −0.483447 | + | 1.03612i | ||||
\(436\) | 0.975082 | + | 5.52996i | 0.0466980 | + | 0.264837i | ||||
\(437\) | −20.1490 | − | 7.33365i | −0.963859 | − | 0.350816i | ||||
\(438\) | 4.45854 | + | 3.12346i | 0.213037 | + | 0.149245i | ||||
\(439\) | −6.60683 | + | 37.4692i | −0.315327 | + | 1.78831i | 0.255054 | + | 0.966927i | \(0.417907\pi\) |
−0.570381 | + | 0.821380i | \(0.693204\pi\) | |||||||
\(440\) | 16.4279 | − | 28.4539i | 0.783169 | − | 1.35649i | ||||
\(441\) | 1.92944 | − | 2.29723i | 0.0918780 | − | 0.109392i | ||||
\(442\) | −21.6458 | − | 37.4917i | −1.02959 | − | 1.78330i | ||||
\(443\) | 5.55776 | − | 2.02286i | 0.264057 | − | 0.0961089i | −0.206599 | − | 0.978426i | \(-0.566240\pi\) |
0.470656 | + | 0.882317i | \(0.344017\pi\) | |||||||
\(444\) | 3.86317 | + | 1.03610i | 0.183338 | + | 0.0491713i | ||||
\(445\) | 7.31741 | − | 6.14004i | 0.346879 | − | 0.291066i | ||||
\(446\) | 25.1614 | − | 21.1129i | 1.19143 | − | 0.999726i | ||||
\(447\) | −10.8812 | − | 2.91833i | −0.514662 | − | 0.138032i | ||||
\(448\) | 5.55673 | − | 2.02249i | 0.262531 | − | 0.0955534i | ||||
\(449\) | 14.7861 | + | 25.6102i | 0.697798 | + | 1.20862i | 0.969228 | + | 0.246163i | \(0.0791699\pi\) |
−0.271431 | + | 0.962458i | \(0.587497\pi\) | |||||||
\(450\) | 23.3813 | + | 4.13404i | 1.10220 | + | 0.194881i | ||||
\(451\) | 5.37139 | − | 9.30351i | 0.252929 | − | 0.438085i | ||||
\(452\) | 0.0325776 | − | 0.184757i | 0.00153232 | − | 0.00869024i | ||||
\(453\) | −15.1977 | − | 10.6468i | −0.714049 | − | 0.500231i | ||||
\(454\) | 2.17967 | + | 0.793335i | 0.102297 | + | 0.0372330i | ||||
\(455\) | 2.96762 | + | 16.8302i | 0.139124 | + | 0.789011i | ||||
\(456\) | −4.38654 | + | 9.40121i | −0.205418 | + | 0.440252i | ||||
\(457\) | 2.18305 | + | 1.83179i | 0.102119 | + | 0.0856876i | 0.692417 | − | 0.721497i | \(-0.256546\pi\) |
−0.590299 | + | 0.807185i | \(0.700990\pi\) | |||||||
\(458\) | 6.79923 | 0.317707 | ||||||||
\(459\) | −19.1555 | − | 19.1825i | −0.894103 | − | 0.895360i | ||||
\(460\) | 10.9762 | 0.511769 | ||||||||
\(461\) | −18.2116 | − | 15.2813i | −0.848197 | − | 0.711721i | 0.111195 | − | 0.993799i | \(-0.464532\pi\) |
−0.959392 | + | 0.282077i | \(0.908977\pi\) | |||||||
\(462\) | −11.0442 | + | 0.963633i | −0.513821 | + | 0.0448323i | ||||
\(463\) | −5.95979 | − | 33.7997i | −0.276975 | − | 1.57080i | −0.732617 | − | 0.680641i | \(-0.761701\pi\) |
0.455642 | − | 0.890163i | \(-0.349410\pi\) | |||||||
\(464\) | 18.8014 | + | 6.84316i | 0.872835 | + | 0.317686i | ||||
\(465\) | 12.3145 | − | 5.73882i | 0.571069 | − | 0.266131i | ||||
\(466\) | −7.10826 | + | 40.3129i | −0.329284 | + | 1.86746i | ||||
\(467\) | −11.2457 | + | 19.4782i | −0.520391 | + | 0.901344i | 0.479328 | + | 0.877636i | \(0.340881\pi\) |
−0.999719 | + | 0.0237080i | \(0.992453\pi\) | |||||||
\(468\) | −5.39688 | + | 3.11252i | −0.249471 | + | 0.143876i | ||||
\(469\) | 0.912280 | + | 1.58012i | 0.0421252 | + | 0.0729630i | ||||
\(470\) | −34.7999 | + | 12.6661i | −1.60520 | + | 0.584246i | ||||
\(471\) | 1.17062 | + | 4.37292i | 0.0539394 | + | 0.201493i | ||||
\(472\) | −12.6936 | + | 10.6512i | −0.584272 | + | 0.490262i | ||||
\(473\) | 16.6265 | − | 13.9513i | 0.764487 | − | 0.641480i | ||||
\(474\) | 15.6363 | − | 15.6290i | 0.718201 | − | 0.717865i | ||||
\(475\) | 11.5689 | − | 4.21075i | 0.530819 | − | 0.193202i | ||||
\(476\) | −1.00855 | − | 1.74686i | −0.0462267 | − | 0.0800671i | ||||
\(477\) | 10.3966 | − | 28.5227i | 0.476026 | − | 1.30597i | ||||
\(478\) | 7.62726 | − | 13.2108i | 0.348863 | − | 0.604248i | ||||
\(479\) | −0.457479 | + | 2.59449i | −0.0209028 | + | 0.118545i | −0.993474 | − | 0.114061i | \(-0.963614\pi\) |
0.972571 | + | 0.232606i | \(0.0747253\pi\) | |||||||
\(480\) | 1.03938 | − | 11.8482i | 0.0474411 | − | 0.540795i | ||||
\(481\) | −30.1465 | − | 10.9724i | −1.37456 | − | 0.500300i | ||||
\(482\) | 1.55481 | + | 8.81776i | 0.0708196 | + | 0.401638i | ||||
\(483\) | 8.86149 | + | 12.6618i | 0.403212 | + | 0.576133i | ||||
\(484\) | 1.82603 | + | 1.53222i | 0.0830014 | + | 0.0696464i | ||||
\(485\) | −29.1242 | −1.32246 | ||||||||
\(486\) | −17.0486 | + | 17.0087i | −0.773340 | + | 0.771531i | ||||
\(487\) | 24.4784 | 1.10922 | 0.554610 | − | 0.832110i | \(-0.312867\pi\) | ||||
0.554610 | + | 0.832110i | \(0.312867\pi\) | |||||||
\(488\) | −5.83079 | − | 4.89261i | −0.263947 | − | 0.221478i | ||||
\(489\) | −3.08566 | − | 4.40897i | −0.139538 | − | 0.199380i | ||||
\(490\) | 0.853534 | + | 4.84063i | 0.0385588 | + | 0.218678i | ||||
\(491\) | −8.60696 | − | 3.13268i | −0.388427 | − | 0.141376i | 0.140422 | − | 0.990092i | \(-0.455154\pi\) |
−0.528849 | + | 0.848716i | \(0.677376\pi\) | |||||||
\(492\) | 0.151740 | − | 1.72974i | 0.00684099 | − | 0.0779825i | ||||
\(493\) | −3.92023 | + | 22.2327i | −0.176558 | + | 1.00131i | ||||
\(494\) | −9.97033 | + | 17.2691i | −0.448587 | + | 0.776975i | ||||
\(495\) | 13.5430 | − | 37.1551i | 0.608715 | − | 1.67000i | ||||
\(496\) | −5.69954 | − | 9.87190i | −0.255917 | − | 0.443261i | ||||
\(497\) | 10.2389 | − | 3.72666i | 0.459278 | − | 0.167164i | ||||
\(498\) | −7.22146 | + | 7.21808i | −0.323601 | + | 0.323450i | ||||
\(499\) | 14.4633 | − | 12.1361i | 0.647464 | − | 0.543287i | −0.258836 | − | 0.965921i | \(-0.583339\pi\) |
0.906300 | + | 0.422634i | \(0.138895\pi\) | |||||||
\(500\) | −0.116073 | + | 0.0973964i | −0.00519092 | + | 0.00435570i | ||||
\(501\) | −4.66114 | − | 17.4119i | −0.208245 | − | 0.777908i | ||||
\(502\) | 23.4881 | − | 8.54897i | 1.04832 | − | 0.381559i | ||||
\(503\) | 21.3844 | + | 37.0389i | 0.953484 | + | 1.65148i | 0.737800 | + | 0.675019i | \(0.235865\pi\) |
0.215683 | + | 0.976463i | \(0.430802\pi\) | |||||||
\(504\) | 6.47733 | − | 3.73564i | 0.288523 | − | 0.166399i | ||||
\(505\) | −1.76926 | + | 3.06444i | −0.0787309 | + | 0.136366i | ||||
\(506\) | 9.91721 | − | 56.2433i | 0.440874 | − | 2.50032i | ||||
\(507\) | 24.8849 | − | 11.5969i | 1.10518 | − | 0.515037i | ||||
\(508\) | 1.36597 | + | 0.497174i | 0.0606053 | + | 0.0220585i | ||||
\(509\) | −2.67720 | − | 15.1831i | −0.118665 | − | 0.672981i | −0.984870 | − | 0.173293i | \(-0.944559\pi\) |
0.866206 | − | 0.499688i | \(-0.166552\pi\) | |||||||
\(510\) | 44.2483 | − | 3.86079i | 1.95935 | − | 0.170959i | ||||
\(511\) | −1.55848 | − | 1.30772i | −0.0689430 | − | 0.0578501i | ||||
\(512\) | 13.0699 | 0.577612 | ||||||||
\(513\) | −3.24028 | + | 12.0590i | −0.143062 | + | 0.532419i | ||||
\(514\) | −10.5913 | −0.467163 | ||||||||
\(515\) | 12.7053 | + | 10.6610i | 0.559860 | + | 0.469779i | ||||
\(516\) | 1.48334 | − | 3.17909i | 0.0653004 | − | 0.139952i | ||||
\(517\) | 5.42049 | + | 30.7411i | 0.238393 | + | 1.35199i | ||||
\(518\) | −8.67063 | − | 3.15585i | −0.380966 | − | 0.138660i | ||||
\(519\) | 7.37456 | + | 5.16630i | 0.323707 | + | 0.226775i | ||||
\(520\) | −7.39664 | + | 41.9484i | −0.324364 | + | 1.83956i | ||||
\(521\) | 16.0401 | − | 27.7823i | 0.702731 | − | 1.21717i | −0.264773 | − | 0.964311i | \(-0.585297\pi\) |
0.967504 | − | 0.252855i | \(-0.0813695\pi\) | |||||||
\(522\) | 19.7487 | + | 3.49176i | 0.864376 | + | 0.152830i | ||||
\(523\) | 7.08752 | + | 12.2759i | 0.309916 | + | 0.536790i | 0.978344 | − | 0.206987i | \(-0.0663659\pi\) |
−0.668428 | + | 0.743777i | \(0.733033\pi\) | |||||||
\(524\) | 2.70276 | − | 0.983726i | 0.118071 | − | 0.0429743i | ||||
\(525\) | −8.57070 | − | 2.29866i | −0.374056 | − | 0.100322i | ||||
\(526\) | 10.8140 | − | 9.07401i | 0.471512 | − | 0.395646i | ||||
\(527\) | 9.85280 | − | 8.26748i | 0.429195 | − | 0.360137i | ||||
\(528\) | −32.0480 | − | 8.59527i | −1.39471 | − | 0.374061i | ||||
\(529\) | −53.2016 | + | 19.3638i | −2.31311 | + | 0.841905i | ||||
\(530\) | 24.8702 | + | 43.0764i | 1.08029 | + | 1.87112i | ||||
\(531\) | −12.8273 | + | 15.2725i | −0.556659 | + | 0.662769i | ||||
\(532\) | −0.464550 | + | 0.804624i | −0.0201408 | + | 0.0348849i | ||||
\(533\) | −2.41846 | + | 13.7158i | −0.104755 | + | 0.594096i | ||||
\(534\) | −6.57948 | − | 4.60930i | −0.284722 | − | 0.199464i | ||||
\(535\) | −4.87960 | − | 1.77603i | −0.210963 | − | 0.0767844i | ||||
\(536\) | 0.789688 | + | 4.47854i | 0.0341093 | + | 0.193443i | ||||
\(537\) | −13.4295 | + | 28.7820i | −0.579525 | + | 1.24204i | ||||
\(538\) | −2.91808 | − | 2.44856i | −0.125808 | − | 0.105565i | ||||
\(539\) | 4.14311 | 0.178456 | ||||||||
\(540\) | −0.552623 | − | 6.36803i | −0.0237811 | − | 0.274037i | ||||
\(541\) | −2.71132 | −0.116569 | −0.0582844 | − | 0.998300i | \(-0.518563\pi\) | ||||
−0.0582844 | + | 0.998300i | \(0.518563\pi\) | |||||||
\(542\) | −13.5415 | − | 11.3627i | −0.581659 | − | 0.488070i | ||||
\(543\) | 31.5419 | − | 2.75212i | 1.35359 | − | 0.118105i | ||||
\(544\) | −1.95525 | − | 11.0888i | −0.0838306 | − | 0.475427i | ||||
\(545\) | 43.4231 | + | 15.8047i | 1.86004 | + | 0.677000i | ||||
\(546\) | 13.0273 | − | 6.07103i | 0.557518 | − | 0.259816i | ||||
\(547\) | −1.01598 | + | 5.76193i | −0.0434403 | + | 0.246362i | −0.998794 | − | 0.0491033i | \(-0.984364\pi\) |
0.955353 | + | 0.295466i | \(0.0954747\pi\) | |||||||
\(548\) | −1.41273 | + | 2.44693i | −0.0603490 | + | 0.104528i | ||||
\(549\) | −7.93197 | − | 4.58448i | −0.338528 | − | 0.195661i | ||||
\(550\) | 16.3956 | + | 28.3981i | 0.699112 | + | 1.21090i | ||||
\(551\) | 9.77153 | − | 3.55654i | 0.416281 | − | 0.151514i | ||||
\(552\) | 9.96103 | + | 37.2099i | 0.423969 | + | 1.58376i | ||||
\(553\) | −6.32921 | + | 5.31084i | −0.269145 | + | 0.225840i | ||||
\(554\) | 19.5408 | − | 16.3967i | 0.830211 | − | 0.696630i | ||||
\(555\) | 23.2797 | − | 23.2688i | 0.988170 | − | 0.987707i | ||||
\(556\) | −7.03795 | + | 2.56160i | −0.298475 | + | 0.108636i | ||||
\(557\) | −13.4677 | − | 23.3268i | −0.570645 | − | 0.988387i | −0.996500 | − | 0.0835949i | \(-0.973360\pi\) |
0.425855 | − | 0.904792i | \(-0.359974\pi\) | |||||||
\(558\) | −7.34027 | − | 8.75612i | −0.310738 | − | 0.370676i | ||||
\(559\) | −14.0692 | + | 24.3685i | −0.595063 | + | 1.03068i | ||||
\(560\) | −2.55461 | + | 14.4879i | −0.107952 | + | 0.612227i | ||||
\(561\) | 3.27172 | − | 37.2954i | 0.138132 | − | 1.57461i | ||||
\(562\) | −22.5031 | − | 8.19045i | −0.949235 | − | 0.345493i | ||||
\(563\) | −0.227380 | − | 1.28954i | −0.00958294 | − | 0.0543475i | 0.979641 | − | 0.200756i | \(-0.0643398\pi\) |
−0.989224 | + | 0.146408i | \(0.953229\pi\) | |||||||
\(564\) | 2.89296 | + | 4.13364i | 0.121816 | + | 0.174058i | ||||
\(565\) | −1.18268 | − | 0.992387i | −0.0497558 | − | 0.0417500i | ||||
\(566\) | −2.86552 | −0.120447 | ||||||||
\(567\) | 6.89982 | − | 5.77863i | 0.289765 | − | 0.242680i | ||||
\(568\) | 27.1578 | 1.13952 | ||||||||
\(569\) | 22.0275 | + | 18.4832i | 0.923439 | + | 0.774857i | 0.974628 | − | 0.223832i | \(-0.0718566\pi\) |
−0.0511890 | + | 0.998689i | \(0.516301\pi\) | |||||||
\(570\) | −11.7307 | − | 16.7616i | −0.491347 | − | 0.702066i | ||||
\(571\) | −0.710761 | − | 4.03093i | −0.0297444 | − | 0.168689i | 0.966317 | − | 0.257355i | \(-0.0828509\pi\) |
−0.996061 | + | 0.0886656i | \(0.971740\pi\) | |||||||
\(572\) | −8.08511 | − | 2.94274i | −0.338055 | − | 0.123042i | ||||
\(573\) | −1.42339 | + | 16.2256i | −0.0594629 | + | 0.677835i | ||||
\(574\) | −0.695588 | + | 3.94488i | −0.0290333 | + | 0.164656i | ||||
\(575\) | 22.8565 | − | 39.5886i | 0.953181 | − | 1.65096i | ||||
\(576\) | 17.4720 | − | 3.07235i | 0.727999 | − | 0.128014i | ||||
\(577\) | −6.88065 | − | 11.9176i | −0.286445 | − | 0.496138i | 0.686513 | − | 0.727117i | \(-0.259140\pi\) |
−0.972959 | + | 0.230979i | \(0.925807\pi\) | |||||||
\(578\) | 14.8343 | − | 5.39925i | 0.617026 | − | 0.224579i | ||||
\(579\) | 10.6199 | − | 10.6150i | 0.441350 | − | 0.441143i | ||||
\(580\) | −4.07770 | + | 3.42160i | −0.169317 | + | 0.142074i | ||||
\(581\) | 2.92307 | − | 2.45275i | 0.121269 | − | 0.101757i | ||||
\(582\) | 6.33381 | + | 23.6603i | 0.262545 | + | 0.980749i | ||||
\(583\) | 39.3977 | − | 14.3396i | 1.63169 | − | 0.593885i | ||||
\(584\) | −2.53538 | − | 4.39141i | −0.104915 | − | 0.181718i | ||||
\(585\) | −0.0240105 | + | 51.2695i | −0.000992710 | + | 2.11973i | ||||
\(586\) | −6.84803 | + | 11.8611i | −0.282890 | + | 0.489979i | ||||
\(587\) | 4.70007 | − | 26.6554i | 0.193992 | − | 1.10019i | −0.719854 | − | 0.694126i | \(-0.755791\pi\) |
0.913846 | − | 0.406060i | \(-0.133098\pi\) | |||||||
\(588\) | 0.606985 | − | 0.282869i | 0.0250316 | − | 0.0116653i | ||||
\(589\) | −5.56708 | − | 2.02625i | −0.229387 | − | 0.0834902i | ||||
\(590\) | −5.67448 | − | 32.1816i | −0.233615 | − | 1.32489i | ||||
\(591\) | 35.3588 | − | 3.08515i | 1.45446 | − | 0.126906i | ||||
\(592\) | −21.1555 | − | 17.7516i | −0.869486 | − | 0.729585i | ||||
\(593\) | −4.12174 | −0.169260 | −0.0846298 | − | 0.996412i | \(-0.526971\pi\) | ||||
−0.0846298 | + | 0.996412i | \(0.526971\pi\) | |||||||
\(594\) | −33.1298 | − | 2.92193i | −1.35933 | − | 0.119888i | ||||
\(595\) | −16.5993 | −0.680507 | ||||||||
\(596\) | −1.92640 | − | 1.61644i | −0.0789084 | − | 0.0662120i | ||||
\(597\) | −9.43070 | + | 20.2118i | −0.385973 | + | 0.827216i | ||||
\(598\) | 12.8571 | + | 72.9161i | 0.525765 | + | 2.98176i | ||||
\(599\) | 2.20492 | + | 0.802524i | 0.0900905 | + | 0.0327903i | 0.386672 | − | 0.922217i | \(-0.373624\pi\) |
−0.296582 | + | 0.955007i | \(0.595847\pi\) | |||||||
\(600\) | −18.1142 | − | 12.6900i | −0.739510 | − | 0.518069i | ||||
\(601\) | 1.56326 | − | 8.86570i | 0.0637668 | − | 0.361640i | −0.936182 | − | 0.351516i | \(-0.885666\pi\) |
0.999949 | − | 0.0101237i | \(-0.00322253\pi\) | |||||||
\(602\) | −4.04652 | + | 7.00879i | −0.164924 | + | 0.285657i | ||||
\(603\) | 1.86970 | + | 5.14446i | 0.0761401 | + | 0.209498i | ||||
\(604\) | −2.07103 | − | 3.58714i | −0.0842692 | − | 0.145959i | ||||
\(605\) | 18.4333 | − | 6.70918i | 0.749422 | − | 0.272767i | ||||
\(606\) | 2.87430 | + | 0.770888i | 0.116760 | + | 0.0313152i | ||||
\(607\) | −34.7677 | + | 29.1735i | −1.41118 | + | 1.18412i | −0.455302 | + | 0.890337i | \(0.650469\pi\) |
−0.955873 | + | 0.293780i | \(0.905087\pi\) | |||||||
\(608\) | −3.97303 | + | 3.33376i | −0.161127 | + | 0.135202i | ||||
\(609\) | −7.23912 | − | 1.94153i | −0.293344 | − | 0.0786749i | ||||
\(610\) | 14.1053 | − | 5.13392i | 0.571108 | − | 0.207866i | ||||
\(611\) | −20.2344 | − | 35.0471i | −0.818597 | − | 1.41785i | ||||
\(612\) | −2.06700 | − | 5.68732i | −0.0835535 | − | 0.229896i | ||||
\(613\) | −12.2315 | + | 21.1855i | −0.494025 | + | 0.855676i | −0.999976 | − | 0.00688605i | \(-0.997808\pi\) |
0.505952 | + | 0.862562i | \(0.331141\pi\) | |||||||
\(614\) | −4.57008 | + | 25.9182i | −0.184433 | + | 1.04597i | ||||
\(615\) | −11.7031 | − | 8.19870i | −0.471916 | − | 0.330604i | ||||
\(616\) | 9.70374 | + | 3.53187i | 0.390975 | + | 0.142303i | ||||
\(617\) | −2.70712 | − | 15.3528i | −0.108984 | − | 0.618081i | −0.989554 | − | 0.144164i | \(-0.953951\pi\) |
0.880569 | − | 0.473917i | \(-0.157160\pi\) | |||||||
\(618\) | 5.89780 | − | 12.6402i | 0.237244 | − | 0.508462i | ||||
\(619\) | −25.2698 | − | 21.2038i | −1.01568 | − | 0.852254i | −0.0265991 | − | 0.999646i | \(-0.508468\pi\) |
−0.989078 | + | 0.147392i | \(0.952912\pi\) | |||||||
\(620\) | 3.03268 | 0.121795 | ||||||||
\(621\) | 19.5648 | + | 42.0339i | 0.785108 | + | 1.68676i | ||||
\(622\) | 35.2905 | 1.41502 | ||||||||
\(623\) | 2.29985 | + | 1.92980i | 0.0921415 | + | 0.0773159i | ||||
\(624\) | 42.8538 | − | 3.73911i | 1.71553 | − | 0.149684i | ||||
\(625\) | −4.23162 | − | 23.9987i | −0.169265 | − | 0.959949i | ||||
\(626\) | 3.14908 | + | 1.14617i | 0.125862 | + | 0.0458102i | ||||
\(627\) | −15.6307 | + | 7.28426i | −0.624230 | + | 0.290905i | ||||
\(628\) | −0.175471 | + | 0.995143i | −0.00700204 | + | 0.0397105i | ||||
\(629\) | 15.5803 | − | 26.9858i | 0.621226 | − | 1.07599i | ||||
\(630\) | −0.00690580 | + | 14.7459i | −0.000275133 | + | 0.587492i | ||||
\(631\) | −17.1387 | − | 29.6851i | −0.682282 | − | 1.18175i | −0.974283 | − | 0.225329i | \(-0.927654\pi\) |
0.292001 | − | 0.956418i | \(-0.405679\pi\) | |||||||
\(632\) | −19.3512 | + | 7.04326i | −0.769750 | + | 0.280166i | ||||
\(633\) | 2.24908 | + | 8.40154i | 0.0893928 | + | 0.333931i | ||||
\(634\) | 4.59658 | − | 3.85699i | 0.182553 | − | 0.153180i | ||||
\(635\) | 9.16378 | − | 7.68932i | 0.363653 | − | 0.305141i | ||||
\(636\) | 4.79292 | − | 4.79067i | 0.190052 | − | 0.189963i | ||||
\(637\) | −5.04737 | + | 1.83709i | −0.199984 | + | 0.0727882i | ||||
\(638\) | 13.8483 | + | 23.9860i | 0.548261 | + | 0.949616i | ||||
\(639\) | 32.1941 | − | 5.66115i | 1.27358 | − | 0.223952i | ||||
\(640\) | −21.3998 | + | 37.0656i | −0.845902 | + | 1.46515i | ||||
\(641\) | −4.59983 | + | 26.0869i | −0.181682 | + | 1.03037i | 0.748462 | + | 0.663178i | \(0.230793\pi\) |
−0.930144 | + | 0.367194i | \(0.880319\pi\) | |||||||
\(642\) | −0.381636 | + | 4.35039i | −0.0150620 | + | 0.171696i | ||||
\(643\) | 35.0104 | + | 12.7427i | 1.38067 | + | 0.502524i | 0.922382 | − | 0.386278i | \(-0.126239\pi\) |
0.458291 | + | 0.888802i | \(0.348462\pi\) | |||||||
\(644\) | 0.599052 | + | 3.39739i | 0.0236060 | + | 0.133876i | ||||
\(645\) | −16.5533 | − | 23.6524i | −0.651786 | − | 0.931311i | ||||
\(646\) | −14.8370 | − | 12.4497i | −0.583755 | − | 0.489829i | ||||
\(647\) | 14.8721 | 0.584683 | 0.292342 | − | 0.956314i | \(-0.405566\pi\) | ||||
0.292342 | + | 0.956314i | \(0.405566\pi\) | |||||||
\(648\) | 21.0864 | − | 7.65247i | 0.828353 | − | 0.300617i | ||||
\(649\) | −27.5443 | −1.08121 | ||||||||
\(650\) | −32.5660 | − | 27.3261i | −1.27734 | − | 1.07182i | ||||
\(651\) | 2.44839 | + | 3.49840i | 0.0959598 | + | 0.137113i | ||||
\(652\) | −0.208596 | − | 1.18300i | −0.00816924 | − | 0.0463300i | ||||
\(653\) | −17.6280 | − | 6.41607i | −0.689837 | − | 0.251080i | −0.0267716 | − | 0.999642i | \(-0.508523\pi\) |
−0.663065 | + | 0.748561i | \(0.730745\pi\) | |||||||
\(654\) | 3.39615 | − | 38.7137i | 0.132800 | − | 1.51383i | ||||
\(655\) | 4.11014 | − | 23.3098i | 0.160597 | − | 0.910788i | ||||
\(656\) | −5.99455 | + | 10.3829i | −0.234048 | + | 0.405383i | ||||
\(657\) | −3.92096 | − | 4.67727i | −0.152971 | − | 0.182478i | ||||
\(658\) | −5.81975 | − | 10.0801i | −0.226877 | − | 0.392963i | ||||
\(659\) | 39.9964 | − | 14.5575i | 1.55804 | − | 0.567080i | 0.587752 | − | 0.809041i | \(-0.300013\pi\) |
0.970286 | + | 0.241961i | \(0.0777907\pi\) | |||||||
\(660\) | 6.24348 | − | 6.24056i | 0.243027 | − | 0.242913i | ||||
\(661\) | 35.6723 | − | 29.9326i | 1.38749 | − | 1.16424i | 0.421148 | − | 0.906992i | \(-0.361627\pi\) |
0.966344 | − | 0.257253i | \(-0.0828173\pi\) | |||||||
\(662\) | 23.3779 | − | 19.6164i | 0.908607 | − | 0.762412i | ||||
\(663\) | 12.5513 | + | 46.8860i | 0.487452 | + | 1.82090i | ||||
\(664\) | 8.93713 | − | 3.25285i | 0.346828 | − | 0.126235i | ||||
\(665\) | 3.82293 | + | 6.62151i | 0.148247 | + | 0.256771i | ||||
\(666\) | −23.9662 | − | 13.8519i | −0.928672 | − | 0.536749i | ||||
\(667\) | 19.3054 | − | 33.4379i | 0.747508 | − | 1.29472i | ||||
\(668\) | 0.698682 | − | 3.96242i | 0.0270328 | − | 0.153311i | ||||
\(669\) | −33.3789 | + | 15.5553i | −1.29050 | + | 0.601404i | ||||
\(670\) | −8.42743 | − | 3.06733i | −0.325580 | − | 0.118501i | ||||
\(671\) | −2.19707 | − | 12.4602i | −0.0848169 | − | 0.481020i | ||||
\(672\) | 3.72403 | − | 0.324932i | 0.143658 | − | 0.0125345i | ||||
\(673\) | −19.6339 | − | 16.4748i | −0.756831 | − | 0.635056i | 0.180469 | − | 0.983581i | \(-0.442238\pi\) |
−0.937300 | + | 0.348524i | \(0.886683\pi\) | |||||||
\(674\) | 17.8182 | 0.686333 | ||||||||
\(675\) | −24.1187 | − | 11.2674i | −0.928330 | − | 0.433682i | ||||
\(676\) | 6.12839 | 0.235707 | ||||||||
\(677\) | 24.6034 | + | 20.6447i | 0.945587 | + | 0.793442i | 0.978549 | − | 0.206015i | \(-0.0660496\pi\) |
−0.0329619 | + | 0.999457i | \(0.510494\pi\) | |||||||
\(678\) | −0.549003 | + | 1.17662i | −0.0210843 | + | 0.0451879i | ||||
\(679\) | −1.58952 | − | 9.01461i | −0.0610001 | − | 0.345949i | ||||
\(680\) | −38.8779 | − | 14.1504i | −1.49090 | − | 0.542644i | ||||
\(681\) | −2.12993 | − | 1.49214i | −0.0816192 | − | 0.0571789i | ||||
\(682\) | 2.74008 | − | 15.5397i | 0.104923 | − | 0.595048i | ||||
\(683\) | −3.91955 | + | 6.78885i | −0.149977 | + | 0.259768i | −0.931219 | − | 0.364461i | \(-0.881253\pi\) |
0.781242 | + | 0.624229i | \(0.214587\pi\) | |||||||
\(684\) | −1.79264 | + | 2.13436i | −0.0685434 | + | 0.0816091i | ||||
\(685\) | 11.6258 | + | 20.1366i | 0.444201 | + | 0.769378i | ||||
\(686\) | −1.45170 | + | 0.528377i | −0.0554263 | + | 0.0201735i | ||||
\(687\) | −7.36282 | − | 1.97471i | −0.280909 | − | 0.0753399i | ||||
\(688\) | −18.5554 | + | 15.5698i | −0.707418 | + | 0.593594i | ||||
\(689\) | −41.6382 | + | 34.9386i | −1.58629 | + | 1.33105i | ||||
\(690\) | −73.3716 | − | 19.6783i | −2.79321 | − | 0.749139i | ||||
\(691\) | 43.6525 | − | 15.8882i | 1.66062 | − | 0.604416i | 0.670159 | − | 0.742218i | \(-0.266226\pi\) |
0.990460 | + | 0.137802i | \(0.0440037\pi\) | |||||||
\(692\) | 1.00495 | + | 1.74063i | 0.0382027 | + | 0.0661689i | ||||
\(693\) | 12.2395 | + | 2.16406i | 0.464940 | + | 0.0822060i | ||||
\(694\) | −14.4584 | + | 25.0427i | −0.548834 | + | 0.950608i | ||||
\(695\) | −10.7027 | + | 60.6982i | −0.405978 | + | 2.30241i | ||||
\(696\) | −15.2999 | − | 10.7185i | −0.579942 | − | 0.406282i | ||||
\(697\) | −12.7118 | − | 4.62673i | −0.481495 | − | 0.175250i | ||||
\(698\) | 7.73396 | + | 43.8615i | 0.292735 | + | 1.66018i | ||||
\(699\) | 19.4056 | − | 41.5901i | 0.733988 | − | 1.57308i | ||||
\(700\) | −1.51736 | − | 1.27321i | −0.0573507 | − | 0.0481229i | ||||
\(701\) | −42.4967 | −1.60508 | −0.802539 | − | 0.596599i | \(-0.796518\pi\) | ||||
−0.802539 | + | 0.596599i | \(0.796518\pi\) | |||||||
\(702\) | 41.6561 | − | 11.1304i | 1.57221 | − | 0.420089i | ||||
\(703\) | −14.3529 | −0.541331 | ||||||||
\(704\) | 18.7678 | + | 15.7481i | 0.707340 | + | 0.593528i | ||||
\(705\) | 41.3632 | − | 3.60905i | 1.55783 | − | 0.135925i | ||||
\(706\) | 8.73517 | + | 49.5396i | 0.328753 | + | 1.86445i | ||||
\(707\) | −1.04508 | − | 0.380377i | −0.0393042 | − | 0.0143056i | ||||
\(708\) | −4.03537 | + | 1.88057i | −0.151658 | + | 0.0706763i | ||||
\(709\) | 5.56147 | − | 31.5407i | 0.208865 | − | 1.18453i | −0.682374 | − | 0.731003i | \(-0.739053\pi\) |
0.891240 | − | 0.453532i | \(-0.149836\pi\) | |||||||
\(710\) | −26.7787 | + | 46.3820i | −1.00499 | + | 1.74069i | ||||
\(711\) | −21.4716 | + | 12.3832i | −0.805249 | + | 0.464408i | ||||
\(712\) | 3.74147 | + | 6.48041i | 0.140217 | + | 0.242864i | ||||
\(713\) | −20.6709 | + | 7.52359i | −0.774131 | + | 0.281761i | ||||
\(714\) | 3.60996 | + | 13.4852i | 0.135099 | + | 0.504670i | ||||
\(715\) | −54.2398 | + | 45.5126i | −2.02845 | + | 1.70208i | ||||
\(716\) | −5.43101 | + | 4.55716i | −0.202967 | + | 0.170309i | ||||
\(717\) | −12.0963 | + | 12.0907i | −0.451746 | + | 0.451534i | ||||
\(718\) | 38.2838 | − | 13.9341i | 1.42874 | − | 0.520018i | ||||
\(719\) | −14.0139 | − | 24.2727i | −0.522629 | − | 0.905219i | −0.999653 | − | 0.0263294i | \(-0.991618\pi\) |
0.477025 | − | 0.878890i | \(-0.341715\pi\) | |||||||
\(720\) | −15.1142 | + | 41.4656i | −0.563275 | + | 1.54533i | ||||
\(721\) | −2.60640 | + | 4.51442i | −0.0970674 | + | 0.168126i | ||||
\(722\) | 3.54785 | − | 20.1209i | 0.132037 | − | 0.748821i | ||||
\(723\) | 0.877267 | − | 10.0002i | 0.0326259 | − | 0.371913i | ||||
\(724\) | 6.64133 | + | 2.41724i | 0.246823 | + | 0.0898362i | ||||
\(725\) | 3.84962 | + | 21.8323i | 0.142971 | + | 0.810831i | ||||
\(726\) | −9.45930 | − | 13.5160i | −0.351067 | − | 0.501626i | ||||
\(727\) | 25.9069 | + | 21.7384i | 0.960832 | + | 0.806234i | 0.981088 | − | 0.193561i | \(-0.0620037\pi\) |
−0.0202561 | + | 0.999795i | \(0.506448\pi\) | |||||||
\(728\) | −13.3877 | −0.496181 | ||||||||
\(729\) | 23.4016 | − | 13.4671i | 0.866727 | − | 0.498783i | ||||
\(730\) | 9.99994 | 0.370115 | ||||||||
\(731\) | −20.9366 | − | 17.5679i | −0.774368 | − | 0.649772i | ||||
\(732\) | −1.17259 | − | 1.67547i | −0.0433403 | − | 0.0619272i | ||||
\(733\) | −7.13975 | − | 40.4915i | −0.263713 | − | 1.49559i | −0.772676 | − | 0.634801i | \(-0.781082\pi\) |
0.508963 | − | 0.860788i | \(-0.330029\pi\) | |||||||
\(734\) | −32.6743 | − | 11.8925i | −1.20603 | − | 0.438959i | ||||
\(735\) | 0.481588 | − | 5.48977i | 0.0177636 | − | 0.202493i | ||||
\(736\) | −3.34403 | + | 18.9649i | −0.123262 | + | 0.699056i | ||||
\(737\) | −3.77968 | + | 6.54660i | −0.139226 | + | 0.241147i | ||||
\(738\) | −4.11541 | + | 11.2906i | −0.151490 | + | 0.415611i | ||||
\(739\) | −5.23528 | − | 9.06777i | −0.192583 | − | 0.333563i | 0.753523 | − | 0.657422i | \(-0.228353\pi\) |
−0.946105 | + | 0.323859i | \(0.895020\pi\) | |||||||
\(740\) | 6.90416 | − | 2.51291i | 0.253802 | − | 0.0923764i | ||||
\(741\) | 15.8123 | − | 15.8049i | 0.580879 | − | 0.580607i | ||||
\(742\) | −11.9758 | + | 10.0489i | −0.439646 | + | 0.368907i | ||||
\(743\) | −22.0985 | + | 18.5428i | −0.810715 | + | 0.680271i | −0.950778 | − | 0.309872i | \(-0.899714\pi\) |
0.140063 | + | 0.990143i | \(0.455269\pi\) | |||||||
\(744\) | 2.75218 | + | 10.2809i | 0.100900 | + | 0.376917i | ||||
\(745\) | −19.4465 | + | 7.07796i | −0.712466 | + | 0.259317i | ||||
\(746\) | −28.0228 | − | 48.5368i | −1.02599 | − | 1.77706i | ||||
\(747\) | 9.91641 | − | 5.71905i | 0.362823 | − | 0.209249i | ||||
\(748\) | 4.17853 | − | 7.23742i | 0.152782 | − | 0.264626i | ||||
\(749\) | 0.283407 | − | 1.60728i | 0.0103555 | − | 0.0587287i | ||||
\(750\) | 0.950512 | − | 0.442960i | 0.0347078 | − | 0.0161746i | ||||
\(751\) | −32.0091 | − | 11.6504i | −1.16803 | − | 0.425128i | −0.316070 | − | 0.948736i | \(-0.602363\pi\) |
−0.851959 | + | 0.523608i | \(0.824586\pi\) | |||||||
\(752\) | −6.04935 | − | 34.3076i | −0.220597 | − | 1.25107i | ||||
\(753\) | −27.9179 | + | 2.43592i | −1.01739 | + | 0.0887697i | ||||
\(754\) | −27.5064 | − | 23.0806i | −1.00172 | − | 0.840547i | ||||
\(755\) | −34.0864 | −1.24053 | ||||||||
\(756\) | 1.94089 | − | 0.518600i | 0.0705896 | − | 0.0188613i | ||||
\(757\) | 6.86885 | 0.249653 | 0.124826 | − | 0.992179i | \(-0.460163\pi\) | ||||
0.124826 | + | 0.992179i | \(0.460163\pi\) | |||||||
\(758\) | 24.7584 | + | 20.7748i | 0.899265 | + | 0.754573i | ||||
\(759\) | −27.0741 | + | 58.0251i | −0.982727 | + | 2.10618i | ||||
\(760\) | 3.30920 | + | 18.7674i | 0.120037 | + | 0.680766i | ||||
\(761\) | 3.06667 | + | 1.11618i | 0.111167 | + | 0.0404614i | 0.397005 | − | 0.917817i | \(-0.370050\pi\) |
−0.285838 | + | 0.958278i | \(0.592272\pi\) | |||||||
\(762\) | −8.23965 | − | 5.77234i | −0.298491 | − | 0.209110i | ||||
\(763\) | −2.52201 | + | 14.3030i | −0.0913029 | + | 0.517804i | ||||
\(764\) | −1.81790 | + | 3.14869i | −0.0657693 | + | 0.113916i | ||||
\(765\) | −49.0374 | − | 8.67030i | −1.77295 | − | 0.313475i | ||||
\(766\) | −3.95576 | − | 6.85158i | −0.142927 | − | 0.247558i | ||||
\(767\) | 33.5560 | − | 12.2134i | 1.21164 | − | 0.441000i | ||||
\(768\) | 14.9805 | + | 4.01778i | 0.540563 | + | 0.144979i | ||||
\(769\) | 12.7227 | − | 10.6756i | 0.458792 | − | 0.384972i | −0.383895 | − | 0.923377i | \(-0.625417\pi\) |
0.842686 | + | 0.538405i | \(0.180973\pi\) | |||||||
\(770\) | −15.6002 | + | 13.0902i | −0.562194 | + | 0.471737i | ||||
\(771\) | 11.4692 | + | 3.07605i | 0.413055 | + | 0.110781i | ||||
\(772\) | 3.14960 | − | 1.14636i | 0.113356 | − | 0.0412584i | ||||
\(773\) | −18.5844 | − | 32.1891i | −0.668433 | − | 1.15776i | −0.978342 | − | 0.206994i | \(-0.933632\pi\) |
0.309909 | − | 0.950766i | \(-0.399701\pi\) | |||||||
\(774\) | −15.6150 | + | 18.5916i | −0.561271 | + | 0.668261i | ||||
\(775\) | 6.31513 | − | 10.9381i | 0.226846 | − | 0.392909i | ||||
\(776\) | 3.96180 | − | 22.4685i | 0.142220 | − | 0.806571i | ||||
\(777\) | 8.47279 | + | 5.93567i | 0.303960 | + | 0.212941i | ||||
\(778\) | 12.9152 | + | 4.70073i | 0.463031 | + | 0.168529i | ||||
\(779\) | 1.08200 | + | 6.13634i | 0.0387667 | + | 0.219857i | ||||
\(780\) | −4.83903 | + | 10.3710i | −0.173265 | + | 0.371341i | ||||
\(781\) | 34.5819 | + | 29.0177i | 1.23744 | + | 1.03833i | ||||
\(782\) | −71.9159 | −2.57171 | ||||||||
\(783\) | −20.3715 | − | 9.51683i | −0.728019 | − | 0.340104i | ||||
\(784\) | −4.62378 | −0.165135 | ||||||||
\(785\) | 6.37018 | + | 5.34522i | 0.227362 | + | 0.190779i | ||||
\(786\) | −19.8305 | + | 1.73027i | −0.707332 | + | 0.0617166i | ||||
\(787\) | 0.113734 | + | 0.645019i | 0.00405419 | + | 0.0229924i | 0.986768 | − | 0.162140i | \(-0.0518397\pi\) |
−0.982714 | + | 0.185133i | \(0.940729\pi\) | |||||||
\(788\) | 7.44498 | + | 2.70975i | 0.265216 | + | 0.0965308i | ||||
\(789\) | −14.3457 | + | 6.68544i | −0.510722 | + | 0.238008i | ||||
\(790\) | 7.05207 | − | 39.9943i | 0.250901 | − | 1.42293i | ||||
\(791\) | 0.242619 | − | 0.420229i | 0.00862655 | − | 0.0149416i | ||||
\(792\) | 26.8218 | + | 15.5023i | 0.953071 | + | 0.550851i | ||||
\(793\) | 8.20155 | + | 14.2055i | 0.291246 | + | 0.504452i | ||||
\(794\) | 39.3822 | − | 14.3339i | 1.39762 | − | 0.508693i | ||||
\(795\) | −14.4210 | − | 53.8702i | −0.511458 | − | 1.91058i | ||||
\(796\) | −3.81386 | + | 3.20021i | −0.135179 | + | 0.113429i | ||||
\(797\) | 28.0691 | − | 23.5528i | 0.994258 | − | 0.834282i | 0.00807956 | − | 0.999967i | \(-0.497428\pi\) |
0.986179 | + | 0.165686i | \(0.0529837\pi\) | |||||||
\(798\) | 4.54787 | − | 4.54574i | 0.160993 | − | 0.160917i | ||||
\(799\) | 36.9369 | − | 13.4439i | 1.30673 | − | 0.475612i | ||||
\(800\) | −5.52852 | − | 9.57567i | −0.195463 | − | 0.338551i | ||||
\(801\) | 5.78617 | + | 6.90226i | 0.204444 | + | 0.243879i | ||||
\(802\) | 28.9355 | − | 50.1177i | 1.02175 | − | 1.76972i | ||||
\(803\) | 1.46367 | − | 8.30089i | 0.0516518 | − | 0.292932i | ||||
\(804\) | −0.106775 | + | 1.21716i | −0.00376567 | + | 0.0429260i | ||||
\(805\) | 26.6775 | + | 9.70980i | 0.940257 | + | 0.342225i | ||||
\(806\) | 3.55234 | + | 20.1463i | 0.125126 | + | 0.709625i | ||||
\(807\) | 2.44883 | + | 3.49903i | 0.0862028 | + | 0.123172i | ||||
\(808\) | −2.12346 | − | 1.78179i | −0.0747029 | − | 0.0626832i | ||||
\(809\) | 43.3845 | 1.52532 | 0.762659 | − | 0.646800i | \(-0.223893\pi\) | ||||
0.762659 | + | 0.646800i | \(0.223893\pi\) | |||||||
\(810\) | −7.72261 | + | 43.5585i | −0.271345 | + | 1.53049i | ||||
\(811\) | −20.8085 | −0.730685 | −0.365343 | − | 0.930873i | \(-0.619048\pi\) | ||||
−0.365343 | + | 0.930873i | \(0.619048\pi\) | |||||||
\(812\) | −1.28161 | − | 1.07540i | −0.0449758 | − | 0.0377392i | ||||
\(813\) | 11.3639 | + | 16.2375i | 0.398550 | + | 0.569473i | ||||
\(814\) | −6.63838 | − | 37.6481i | −0.232675 | − | 1.31957i | ||||
\(815\) | −9.28934 | − | 3.38104i | −0.325391 | − | 0.118433i | ||||
\(816\) | −3.65129 | + | 41.6222i | −0.127821 | + | 1.45707i | ||||
\(817\) | −2.18604 | + | 12.3976i | −0.0764799 | + | 0.433739i | ||||
\(818\) | 15.9388 | − | 27.6069i | 0.557288 | − | 0.965252i | ||||
\(819\) | −15.8704 | + | 2.79072i | −0.554556 | + | 0.0975155i | ||||
\(820\) | −1.59482 | − | 2.76231i | −0.0556936 | − | 0.0964642i | ||||
\(821\) | 4.65554 | − | 1.69448i | 0.162479 | − | 0.0591377i | −0.259500 | − | 0.965743i | \(-0.583558\pi\) |
0.421979 | + | 0.906605i | \(0.361335\pi\) | |||||||
\(822\) | 13.8304 | − | 13.8240i | 0.482392 | − | 0.482166i | ||||
\(823\) | 7.57316 | − | 6.35464i | 0.263984 | − | 0.221509i | −0.501182 | − | 0.865342i | \(-0.667101\pi\) |
0.765166 | + | 0.643833i | \(0.222657\pi\) | |||||||
\(824\) | −9.95295 | + | 8.35151i | −0.346727 | + | 0.290939i | ||||
\(825\) | −9.50699 | − | 35.5138i | −0.330991 | − | 1.23643i | ||||
\(826\) | 9.65125 | − | 3.51277i | 0.335810 | − | 0.122225i | ||||
\(827\) | 11.6312 | + | 20.1458i | 0.404455 | + | 0.700537i | 0.994258 | − | 0.107010i | \(-0.0341278\pi\) |
−0.589803 | + | 0.807547i | \(0.700794\pi\) | |||||||
\(828\) | −0.00484682 | + | 10.3494i | −0.000168439 | + | 0.359667i | ||||
\(829\) | 22.4356 | − | 38.8596i | 0.779220 | − | 1.34965i | −0.153172 | − | 0.988200i | \(-0.548949\pi\) |
0.932392 | − | 0.361449i | \(-0.117718\pi\) | |||||||
\(830\) | −3.25692 | + | 18.4709i | −0.113049 | + | 0.641134i | ||||
\(831\) | −25.9227 | + | 12.0806i | −0.899249 | + | 0.419070i | ||||
\(832\) | −29.8469 | − | 10.8634i | −1.03475 | − | 0.376620i | ||||
\(833\) | −0.905947 | − | 5.13788i | −0.0313892 | − | 0.178017i | ||||
\(834\) | 51.6383 | − | 4.50558i | 1.78809 | − | 0.156016i | ||||
\(835\) | −25.3646 | − | 21.2834i | −0.877777 | − | 0.736543i | ||||
\(836\) | −3.84936 | −0.133133 | ||||||||
\(837\) | 5.40566 | + | 11.6138i | 0.186847 | + | 0.401430i | ||||
\(838\) | 7.60334 | 0.262653 | ||||||||
\(839\) | 27.2826 | + | 22.8928i | 0.941900 | + | 0.790348i | 0.977915 | − | 0.209004i | \(-0.0670221\pi\) |
−0.0360153 | + | 0.999351i | \(0.511467\pi\) | |||||||
\(840\) | 5.80780 | − | 12.4473i | 0.200388 | − | 0.429472i | ||||
\(841\) | −1.78427 | − | 10.1191i | −0.0615266 | − | 0.348935i | ||||
\(842\) | 30.1195 | + | 10.9626i | 1.03799 | + | 0.377797i | ||||
\(843\) | 21.9896 | + | 15.4050i | 0.757362 | + | 0.530575i | ||||
\(844\) | −0.337126 | + | 1.91193i | −0.0116043 | + | 0.0658115i | ||||
\(845\) | 25.2162 | − | 43.6758i | 0.867465 | − | 1.50249i | ||||
\(846\) | −11.9275 | − | 32.8182i | −0.410075 | − | 1.12831i | ||||
\(847\) | 3.08269 | + | 5.33937i | 0.105922 | + | 0.183463i | ||||
\(848\) | −43.9684 | + | 16.0032i | −1.50988 | + | 0.549552i | ||||
\(849\) | 3.10305 | + | 0.832239i | 0.106496 | + | 0.0285624i | ||||
\(850\) | 31.6314 | − | 26.5419i | 1.08495 | − | 0.910379i | ||||
\(851\) | −40.8250 | + | 34.2563i | −1.39946 | + | 1.17429i | ||||
\(852\) | 7.04758 | + | 1.89016i | 0.241446 | + | 0.0647559i | ||||
\(853\) | 16.2302 | − | 5.90731i | 0.555711 | − | 0.202262i | −0.0488709 | − | 0.998805i | \(-0.515562\pi\) |
0.604582 | + | 0.796543i | \(0.293340\pi\) | |||||||
\(854\) | 2.35890 | + | 4.08573i | 0.0807198 | + | 0.139811i | ||||
\(855\) | 7.83502 | + | 21.5580i | 0.267952 | + | 0.737266i | ||||
\(856\) | 2.03393 | − | 3.52287i | 0.0695184 | − | 0.120409i | ||||
\(857\) | −6.48680 | + | 36.7885i | −0.221585 | + | 1.25667i | 0.647522 | + | 0.762047i | \(0.275805\pi\) |
−0.869107 | + | 0.494624i | \(0.835306\pi\) | |||||||
\(858\) | 48.7699 | + | 34.1661i | 1.66498 | + | 1.16641i | ||||
\(859\) | 39.8715 | + | 14.5121i | 1.36040 | + | 0.495145i | 0.916178 | − | 0.400772i | \(-0.131258\pi\) |
0.444221 | + | 0.895917i | \(0.353480\pi\) | |||||||
\(860\) | −1.11903 | − | 6.34635i | −0.0381587 | − | 0.216409i | ||||
\(861\) | 1.89896 | − | 4.06985i | 0.0647165 | − | 0.138700i | ||||
\(862\) | −0.433612 | − | 0.363844i | −0.0147689 | − | 0.0123926i | ||||
\(863\) | 37.7257 | 1.28420 | 0.642099 | − | 0.766621i | \(-0.278064\pi\) | ||||
0.642099 | + | 0.766621i | \(0.278064\pi\) | |||||||
\(864\) | 11.1712 | + | 0.985259i | 0.380051 | + | 0.0335192i | ||||
\(865\) | 16.5402 | 0.562384 | ||||||||
\(866\) | 40.8451 | + | 34.2731i | 1.38797 | + | 1.16465i | ||||
\(867\) | −17.6320 | + | 1.53844i | −0.598816 | + | 0.0522483i | ||||
\(868\) | 0.165515 | + | 0.938683i | 0.00561795 | + | 0.0318610i | ||||
\(869\) | −32.1668 | − | 11.7078i | −1.09118 | − | 0.397159i | ||||
\(870\) | 33.3921 | − | 15.5615i | 1.13210 | − | 0.527583i | ||||
\(871\) | 1.70180 | − | 9.65137i | 0.0576632 | − | 0.327024i | ||||
\(872\) | −18.0998 | + | 31.3497i | −0.612936 | + | 1.06164i | ||||
\(873\) | 0.0128605 | − | 27.4610i | 0.000435262 | − | 0.929414i | ||||
\(874\) | 16.5627 | + | 28.6874i | 0.560241 | + | 0.970366i | ||||
\(875\) | −0.368271 | + | 0.134040i | −0.0124498 | + | 0.00453136i | ||||
\(876\) | −0.352304 | − | 1.31605i | −0.0119033 | − | 0.0444652i | ||||
\(877\) | −32.2928 | + | 27.0969i | −1.09045 | + | 0.914997i | −0.996746 | − | 0.0806030i | \(-0.974315\pi\) |
−0.0937047 | + | 0.995600i | \(0.529871\pi\) | |||||||
\(878\) | 45.0266 | − | 37.7818i | 1.51957 | − | 1.27507i | ||||
\(879\) | 10.8605 | − | 10.8554i | 0.366316 | − | 0.366145i | ||||
\(880\) | −57.2753 | + | 20.8465i | −1.93075 | + | 0.702736i | ||||
\(881\) | 0.635998 | + | 1.10158i | 0.0214273 | + | 0.0371132i | 0.876540 | − | 0.481329i | \(-0.159846\pi\) |
−0.855113 | + | 0.518442i | \(0.826512\pi\) | |||||||
\(882\) | −4.56458 | + | 0.802655i | −0.153697 | + | 0.0270268i | ||||
\(883\) | 13.5691 | − | 23.5024i | 0.456637 | − | 0.790918i | −0.542144 | − | 0.840286i | \(-0.682387\pi\) |
0.998781 | + | 0.0493676i | \(0.0157206\pi\) | |||||||
\(884\) | −1.88138 | + | 10.6698i | −0.0632776 | + | 0.358865i | ||||
\(885\) | −3.20170 | + | 36.4972i | −0.107624 | + | 1.22684i | ||||
\(886\) | −8.58602 | − | 3.12506i | −0.288453 | − | 0.104988i | ||||
\(887\) | −5.17577 | − | 29.3532i | −0.173785 | − | 0.985585i | −0.939537 | − | 0.342448i | \(-0.888744\pi\) |
0.765751 | − | 0.643137i | \(-0.222367\pi\) | |||||||
\(888\) | 14.7845 | + | 21.1249i | 0.496134 | + | 0.708907i | ||||
\(889\) | 2.88016 | + | 2.41674i | 0.0965974 | + | 0.0810548i | ||||
\(890\) | −14.7569 | −0.494654 | ||||||||
\(891\) | 35.0273 | + | 12.7861i | 1.17346 | + | 0.428349i | ||||
\(892\) | −8.22021 | −0.275233 | ||||||||
\(893\) | −13.8696 | − | 11.6380i | −0.464128 | − | 0.389450i | ||||
\(894\) | 9.97924 | + | 14.2589i | 0.333756 | + | 0.476890i | ||||
\(895\) | 10.1312 | + | 57.4569i | 0.338649 | + | 1.92057i | ||||
\(896\) | −12.6406 | − | 4.60080i | −0.422293 | − | 0.153702i | ||||
\(897\) | 7.25432 | − | 82.6942i | 0.242215 | − | 2.76108i | ||||
\(898\) | 7.93314 | − | 44.9911i | 0.264732 | − | 1.50137i | ||||
\(899\) | 5.33398 | − | 9.23873i | 0.177898 | − | 0.308129i | ||||
\(900\) | −3.81751 | − | 4.55386i | −0.127250 | − | 0.151795i | ||||
\(901\) | −26.3974 | − | 45.7216i | −0.879424 | − | 1.52321i | ||||
\(902\) | −15.5953 | + | 5.67624i | −0.519268 | + | 0.188998i | ||||
\(903\) | 6.41752 | − | 6.41451i | 0.213562 | − | 0.213462i | ||||
\(904\) | 0.926480 | − | 0.777409i | 0.0308143 | − | 0.0258562i | ||||
\(905\) | 44.5540 | − | 37.3853i | 1.48103 | − | 1.24273i | ||||
\(906\) | 7.41298 | + | 27.6915i | 0.246280 | + | 0.919990i | ||||
\(907\) | 3.33365 | − | 1.21335i | 0.110692 | − | 0.0402886i | −0.286080 | − | 0.958206i | \(-0.592352\pi\) |
0.396772 | + | 0.917917i | \(0.370130\pi\) | |||||||
\(908\) | −0.290253 | − | 0.502733i | −0.00963238 | − | 0.0166838i | ||||
\(909\) | −2.88866 | − | 1.66958i | −0.0958109 | − | 0.0553763i | ||||
\(910\) | 13.2008 | − | 22.8644i | 0.437602 | − | 0.757949i | ||||
\(911\) | −2.71877 | + | 15.4189i | −0.0900768 | + | 0.510851i | 0.906068 | + | 0.423131i | \(0.139069\pi\) |
−0.996145 | + | 0.0877196i | \(0.972042\pi\) | |||||||
\(912\) | 17.4441 | − | 8.12935i | 0.577632 | − | 0.269190i | ||||
\(913\) | 14.8559 | + | 5.40709i | 0.491657 | + | 0.178949i | ||||
\(914\) | −0.764489 | − | 4.33564i | −0.0252871 | − | 0.143410i | ||||
\(915\) | −16.7656 | + | 1.46284i | −0.554253 | + | 0.0483601i | ||||
\(916\) | −1.30351 | − | 1.09378i | −0.0430693 | − | 0.0361394i | ||||
\(917\) | 7.43923 | 0.245665 | ||||||||
\(918\) | 3.62077 | + | 41.7232i | 0.119503 | + | 1.37707i | ||||
\(919\) | −29.6760 | −0.978920 | −0.489460 | − | 0.872026i | \(-0.662806\pi\) | ||||
−0.489460 | + | 0.872026i | \(0.662806\pi\) | |||||||
\(920\) | 54.2050 | + | 45.4834i | 1.78709 | + | 1.49954i | ||||
\(921\) | 12.4764 | − | 26.7393i | 0.411110 | − | 0.881089i | ||||
\(922\) | 6.37758 | + | 36.1690i | 0.210034 | + | 1.19116i | ||||
\(923\) | −54.9963 | − | 20.0170i | −1.81022 | − | 0.658868i | ||||
\(924\) | 2.27235 | + | 1.59191i | 0.0747548 | + | 0.0523699i | ||||
\(925\) | 5.31352 | − | 30.1344i | 0.174707 | − | 0.990814i | ||||
\(926\) | −26.5108 | + | 45.9181i | −0.871200 | + | 1.50896i | ||||
\(927\) | −10.0578 | + | 11.9750i | −0.330341 | + | 0.393311i | ||||
\(928\) | −4.66958 | − | 8.08795i | −0.153286 | − | 0.265500i | ||||
\(929\) | −33.5257 | + | 12.2024i | −1.09994 | + | 0.400347i | −0.827295 | − | 0.561767i | \(-0.810122\pi\) |
−0.272648 | + | 0.962114i | \(0.587899\pi\) | |||||||
\(930\) | −20.2722 | − | 5.43701i | −0.664752 | − | 0.178287i | ||||
\(931\) | −1.84087 | + | 1.54467i | −0.0603319 | + | 0.0506245i | ||||
\(932\) | 7.84782 | − | 6.58510i | 0.257064 | − | 0.215702i | ||||
\(933\) | −38.2158 | − | 10.2495i | −1.25113 | − | 0.335553i | ||||
\(934\) | 32.6510 | − | 11.8840i | 1.06837 | − | 0.388856i | ||||
\(935\) | −34.3865 | − | 59.5591i | −1.12456 | − | 1.94779i | ||||
\(936\) | −39.5497 | − | 6.99277i | −1.29272 | − | 0.228566i | ||||
\(937\) | 17.6476 | − | 30.5665i | 0.576522 | − | 0.998565i | −0.419353 | − | 0.907823i | \(-0.637743\pi\) |
0.995874 | − | 0.0907415i | \(-0.0289237\pi\) | |||||||
\(938\) | 0.489464 | − | 2.77589i | 0.0159816 | − | 0.0906360i | ||||
\(939\) | −3.07722 | − | 2.15577i | −0.100421 | − | 0.0703508i | ||||
\(940\) | 8.70924 | + | 3.16990i | 0.284064 | + | 0.103391i | ||||
\(941\) | 5.21160 | + | 29.5564i | 0.169893 | + | 0.963512i | 0.943875 | + | 0.330304i | \(0.107151\pi\) |
−0.773981 | + | 0.633208i | \(0.781738\pi\) | |||||||
\(942\) | 2.95705 | − | 6.33754i | 0.0963460 | − | 0.206488i | ||||
\(943\) | 17.7233 | + | 14.8716i | 0.577149 | + | 0.484286i | ||||
\(944\) | 30.7399 | 1.00050 | ||||||||
\(945\) | 4.29016 | − | 15.9662i | 0.139559 | − | 0.519381i | ||||
\(946\) | −33.5304 | −1.09017 | ||||||||
\(947\) | −25.1824 | − | 21.1306i | −0.818319 | − | 0.686651i | 0.134259 | − | 0.990946i | \(-0.457135\pi\) |
−0.952578 | + | 0.304295i | \(0.901579\pi\) | |||||||
\(948\) | −5.51193 | + | 0.480931i | −0.179019 | + | 0.0156199i | ||||
\(949\) | 1.89756 | + | 10.7616i | 0.0615975 | + | 0.349337i | ||||
\(950\) | −17.8725 | − | 6.50506i | −0.579861 | − | 0.211052i | ||||
\(951\) | −6.09778 | + | 2.84170i | −0.197734 | + | 0.0921486i | ||||
\(952\) | 2.25803 | − | 12.8059i | 0.0731831 | − | 0.415042i | ||||
\(953\) | −16.3913 | + | 28.3905i | −0.530966 | + | 0.919660i | 0.468381 | + | 0.883526i | \(0.344837\pi\) |
−0.999347 | + | 0.0361332i | \(0.988496\pi\) | |||||||
\(954\) | −40.6275 | + | 23.4309i | −1.31536 | + | 0.758604i | ||||
\(955\) | 14.9601 | + | 25.9116i | 0.484097 | + | 0.838480i | ||||
\(956\) | −3.58745 | + | 1.30573i | −0.116027 | + | 0.0422302i | ||||
\(957\) | −8.02994 | − | 29.9962i | −0.259571 | − | 0.969641i | ||||
\(958\) | 3.11779 | − | 2.61614i | 0.100731 | − | 0.0845236i | ||||
\(959\) | −5.59822 | + | 4.69747i | −0.180776 | + | 0.151689i | ||||
\(960\) | 23.0483 | − | 23.0375i | 0.743881 | − | 0.743533i | ||||
\(961\) | 23.4192 | − | 8.52389i | 0.755458 | − | 0.274964i | ||||
\(962\) | 24.7807 | + | 42.9215i | 0.798963 | + | 1.38384i | ||||
\(963\) | 1.67676 | − | 4.60016i | 0.0540329 | − | 0.148238i | ||||
\(964\) | 1.12041 | − | 1.94061i | 0.0360861 | − | 0.0625030i | ||||
\(965\) | 4.78965 | − | 27.1634i | 0.154184 | − | 0.874422i | ||||
\(966\) | 2.08646 | − | 23.7842i | 0.0671307 | − | 0.765244i | ||||
\(967\) | 33.1892 | + | 12.0799i | 1.06729 | + | 0.388462i | 0.815163 | − | 0.579231i | \(-0.196647\pi\) |
0.252129 | + | 0.967694i | \(0.418869\pi\) | |||||||
\(968\) | 2.66844 | + | 15.1334i | 0.0857668 | + | 0.486407i | ||||
\(969\) | 12.4511 | + | 17.7909i | 0.399986 | + | 0.571525i | ||||
\(970\) | 34.4667 | + | 28.9210i | 1.10666 | + | 0.928598i | ||||
\(971\) | −8.29254 | −0.266120 | −0.133060 | − | 0.991108i | \(-0.542480\pi\) | ||||
−0.133060 | + | 0.991108i | \(0.542480\pi\) | |||||||
\(972\) | 6.00462 | − | 0.518253i | 0.192598 | − | 0.0166230i | ||||
\(973\) | −19.3716 | −0.621025 | ||||||||
\(974\) | −28.9687 | − | 24.3076i | −0.928217 | − | 0.778866i | ||||
\(975\) | 27.3291 | + | 39.0494i | 0.875231 | + | 1.25058i | ||||
\(976\) | 2.45196 | + | 13.9058i | 0.0784854 | + | 0.445113i | ||||
\(977\) | −34.1192 | − | 12.4184i | −1.09157 | − | 0.397299i | −0.267368 | − | 0.963595i | \(-0.586154\pi\) |
−0.824202 | + | 0.566296i | \(0.808376\pi\) | |||||||
\(978\) | −0.726525 | + | 8.28188i | −0.0232317 | + | 0.264825i | ||||
\(979\) | −2.15994 | + | 12.2496i | −0.0690321 | + | 0.391500i | ||||
\(980\) | 0.615067 | − | 1.06533i | 0.0196476 | − | 0.0340307i | ||||
\(981\) | −14.9213 | + | 40.9364i | −0.476402 | + | 1.30700i | ||||
\(982\) | 7.07500 | + | 12.2543i | 0.225772 | + | 0.391049i | ||||
\(983\) | −1.62303 | + | 0.590733i | −0.0517665 | + | 0.0188415i | −0.367774 | − | 0.929915i | \(-0.619880\pi\) |
0.316007 | + | 0.948757i | \(0.397658\pi\) | |||||||
\(984\) | 7.91706 | − | 7.91335i | 0.252387 | − | 0.252268i | ||||
\(985\) | 49.9454 | − | 41.9092i | 1.59139 | − | 1.33534i | ||||
\(986\) | 26.7170 | − | 22.4182i | 0.850842 | − | 0.713941i | ||||
\(987\) | 3.37457 | + | 12.6059i | 0.107414 | + | 0.401250i | ||||
\(988\) | 4.68951 | − | 1.70684i | 0.149193 | − | 0.0543019i | ||||
\(989\) | 23.3717 | + | 40.4809i | 0.743176 | + | 1.28722i | ||||
\(990\) | −52.9233 | + | 30.5222i | −1.68201 | + | 0.970060i | ||||
\(991\) | −28.4457 | + | 49.2694i | −0.903608 | + | 1.56510i | −0.0808333 | + | 0.996728i | \(0.525758\pi\) |
−0.822775 | + | 0.568367i | \(0.807575\pi\) | |||||||
\(992\) | −0.923938 | + | 5.23991i | −0.0293351 | + | 0.166367i | ||||
\(993\) | −31.0129 | + | 14.4527i | −0.984165 | + | 0.458643i | ||||
\(994\) | −15.8178 | − | 5.75722i | −0.501711 | − | 0.182608i | ||||
\(995\) | 7.11452 | + | 40.3484i | 0.225545 | + | 1.27913i | ||||
\(996\) | 2.54562 | − | 0.222112i | 0.0806610 | − | 0.00703789i | ||||
\(997\) | 17.1434 | + | 14.3850i | 0.542938 | + | 0.455579i | 0.872541 | − | 0.488540i | \(-0.162471\pi\) |
−0.329603 | + | 0.944120i | \(0.606915\pi\) | |||||||
\(998\) | −29.1679 | −0.923292 | ||||||||
\(999\) | 21.9298 | + | 21.9606i | 0.693827 | + | 0.694803i |
(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 | 189.2.v.b.43.3 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.a.127.7 | 54 | |||
27.5 | odd | 18 | 567.2.v.a.442.7 | 54 | |||
27.7 | even | 9 | 5103.2.a.g.1.8 | 27 | |||
27.20 | odd | 18 | 5103.2.a.h.1.20 | 27 | |||
27.22 | even | 9 | inner | 189.2.v.b.22.3 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.b.22.3 | ✓ | 54 | 27.22 | even | 9 | inner | |
189.2.v.b.43.3 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.a.127.7 | 54 | 3.2 | odd | 2 | |||
567.2.v.a.442.7 | 54 | 27.5 | odd | 18 | |||
5103.2.a.g.1.8 | 27 | 27.7 | even | 9 | |||
5103.2.a.h.1.20 | 27 | 27.20 | odd | 18 |