Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.13 | ||
Character | \(\chi\) | \(=\) | 280.67 |
Dual form | 280.2.br.a.163.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.942490 | + | 1.05438i | −0.666441 | + | 0.745558i | ||||
\(3\) | 0.438259 | + | 1.63560i | 0.253029 | + | 0.944317i | 0.969176 | + | 0.246368i | \(0.0792371\pi\) |
−0.716148 | + | 0.697949i | \(0.754096\pi\) | |||||||
\(4\) | −0.223426 | − | 1.98748i | −0.111713 | − | 0.993740i | ||||
\(5\) | −0.615814 | − | 2.14960i | −0.275400 | − | 0.961330i | ||||
\(6\) | −2.13760 | − | 1.07945i | −0.872672 | − | 0.440684i | ||||
\(7\) | −0.885584 | − | 2.49314i | −0.334719 | − | 0.942318i | ||||
\(8\) | 2.30613 | + | 1.63760i | 0.815341 | + | 0.578981i | ||||
\(9\) | 0.114945 | − | 0.0663635i | 0.0383150 | − | 0.0221212i | ||||
\(10\) | 2.84689 | + | 1.37667i | 0.900265 | + | 0.435343i | ||||
\(11\) | 2.94194 | − | 5.09559i | 0.887029 | − | 1.53638i | 0.0436583 | − | 0.999047i | \(-0.486099\pi\) |
0.843371 | − | 0.537332i | \(-0.180568\pi\) | |||||||
\(12\) | 3.15281 | − | 1.23647i | 0.910139 | − | 0.356938i | ||||
\(13\) | 1.49331 | + | 1.49331i | 0.414169 | + | 0.414169i | 0.883188 | − | 0.469019i | \(-0.155392\pi\) |
−0.469019 | + | 0.883188i | \(0.655392\pi\) | |||||||
\(14\) | 3.46336 | + | 1.41602i | 0.925623 | + | 0.378446i | ||||
\(15\) | 3.24601 | − | 1.94931i | 0.838115 | − | 0.503309i | ||||
\(16\) | −3.90016 | + | 0.888111i | −0.975040 | + | 0.222028i | ||||
\(17\) | −5.43270 | + | 1.45569i | −1.31762 | + | 0.353056i | −0.848087 | − | 0.529857i | \(-0.822246\pi\) |
−0.469536 | + | 0.882913i | \(0.655579\pi\) | |||||||
\(18\) | −0.0383622 | + | 0.183742i | −0.00904206 | + | 0.0433085i | ||||
\(19\) | 3.10041 | − | 1.79002i | 0.711282 | − | 0.410659i | −0.100253 | − | 0.994962i | \(-0.531965\pi\) |
0.811536 | + | 0.584303i | \(0.198632\pi\) | |||||||
\(20\) | −4.13470 | + | 1.70419i | −0.924546 | + | 0.381070i | ||||
\(21\) | 3.68967 | − | 2.54111i | 0.805153 | − | 0.554515i | ||||
\(22\) | 2.59993 | + | 7.90446i | 0.554307 | + | 1.68524i | ||||
\(23\) | 0.669597 | − | 2.49897i | 0.139621 | − | 0.521071i | −0.860315 | − | 0.509762i | \(-0.829733\pi\) |
0.999936 | − | 0.0113092i | \(-0.00359989\pi\) | |||||||
\(24\) | −1.66779 | + | 4.48962i | −0.340436 | + | 0.916439i | ||||
\(25\) | −4.24155 | + | 2.64750i | −0.848309 | + | 0.529501i | ||||
\(26\) | −2.98194 | + | 0.167084i | −0.584807 | + | 0.0327679i | ||||
\(27\) | 3.75096 | + | 3.75096i | 0.721872 | + | 0.721872i | ||||
\(28\) | −4.75720 | + | 2.31712i | −0.899027 | + | 0.437894i | ||||
\(29\) | −6.02158 | −1.11818 | −0.559090 | − | 0.829107i | \(-0.688849\pi\) | ||||
−0.559090 | + | 0.829107i | \(0.688849\pi\) | |||||||
\(30\) | −1.00402 | + | 5.25972i | −0.183308 | + | 0.960289i | ||||
\(31\) | 1.05541 | + | 0.609340i | 0.189557 | + | 0.109441i | 0.591775 | − | 0.806103i | \(-0.298427\pi\) |
−0.402218 | + | 0.915544i | \(0.631761\pi\) | |||||||
\(32\) | 2.73946 | − | 4.94928i | 0.484272 | − | 0.874917i | ||||
\(33\) | 9.62371 | + | 2.57866i | 1.67527 | + | 0.448888i | ||||
\(34\) | 3.58542 | − | 7.10009i | 0.614894 | − | 1.21766i | ||||
\(35\) | −4.81389 | + | 3.43896i | −0.813696 | + | 0.581290i | ||||
\(36\) | −0.157578 | − | 0.213623i | −0.0262630 | − | 0.0356039i | ||||
\(37\) | 10.0311 | + | 2.68783i | 1.64910 | + | 0.441876i | 0.959362 | − | 0.282180i | \(-0.0910574\pi\) |
0.689742 | + | 0.724055i | \(0.257724\pi\) | |||||||
\(38\) | −1.03474 | + | 4.95608i | −0.167857 | + | 0.803982i | ||||
\(39\) | −1.78801 | + | 3.09692i | −0.286310 | + | 0.495904i | ||||
\(40\) | 2.10004 | − | 5.96572i | 0.332046 | − | 0.943263i | ||||
\(41\) | 2.44353 | 0.381615 | 0.190807 | − | 0.981627i | \(-0.438889\pi\) | ||||
0.190807 | + | 0.981627i | \(0.438889\pi\) | |||||||
\(42\) | −0.798193 | + | 6.28528i | −0.123164 | + | 0.969839i | ||||
\(43\) | 7.70492 | − | 7.70492i | 1.17499 | − | 1.17499i | 0.193985 | − | 0.981005i | \(-0.437859\pi\) |
0.981005 | − | 0.193985i | \(-0.0621412\pi\) | |||||||
\(44\) | −10.7847 | − | 4.70856i | −1.62585 | − | 0.709843i | ||||
\(45\) | −0.213439 | − | 0.206218i | −0.0318177 | − | 0.0307411i | ||||
\(46\) | 2.00377 | + | 3.06126i | 0.295440 | + | 0.451358i | ||||
\(47\) | −4.15954 | − | 1.11455i | −0.606732 | − | 0.162573i | −0.0576429 | − | 0.998337i | \(-0.518358\pi\) |
−0.549089 | + | 0.835764i | \(0.685025\pi\) | |||||||
\(48\) | −3.16188 | − | 5.98990i | −0.456378 | − | 0.864567i | ||||
\(49\) | −5.43148 | + | 4.41577i | −0.775926 | + | 0.630824i | ||||
\(50\) | 1.20614 | − | 6.96744i | 0.170575 | − | 0.985345i | ||||
\(51\) | −4.76186 | − | 8.24778i | −0.666793 | − | 1.15492i | ||||
\(52\) | 2.63428 | − | 3.30157i | 0.365309 | − | 0.457845i | ||||
\(53\) | −4.68522 | + | 1.25540i | −0.643564 | + | 0.172442i | −0.565817 | − | 0.824531i | \(-0.691439\pi\) |
−0.0777467 | + | 0.996973i | \(0.524773\pi\) | |||||||
\(54\) | −7.49016 | + | 0.419689i | −1.01928 | + | 0.0571124i | ||||
\(55\) | −12.7652 | − | 3.18606i | −1.72125 | − | 0.429608i | ||||
\(56\) | 2.04050 | − | 7.19975i | 0.272673 | − | 0.962107i | ||||
\(57\) | 4.28655 | + | 4.28655i | 0.567767 | + | 0.567767i | ||||
\(58\) | 5.67528 | − | 6.34902i | 0.745201 | − | 0.833668i | ||||
\(59\) | 2.51456 | + | 1.45178i | 0.327368 | + | 0.189006i | 0.654672 | − | 0.755913i | \(-0.272807\pi\) |
−0.327304 | + | 0.944919i | \(0.606140\pi\) | |||||||
\(60\) | −4.59946 | − | 6.01585i | −0.593787 | − | 0.776643i | ||||
\(61\) | 6.34457 | − | 3.66304i | 0.812339 | − | 0.469004i | −0.0354283 | − | 0.999372i | \(-0.511280\pi\) |
0.847768 | + | 0.530368i | \(0.177946\pi\) | |||||||
\(62\) | −1.63719 | + | 0.538502i | −0.207923 | + | 0.0683899i | ||||
\(63\) | −0.267247 | − | 0.227803i | −0.0336699 | − | 0.0287005i | ||||
\(64\) | 2.63650 | + | 7.55307i | 0.329563 | + | 0.944134i | ||||
\(65\) | 2.29042 | − | 4.12961i | 0.284091 | − | 0.512216i | ||||
\(66\) | −11.7891 | + | 7.71666i | −1.45114 | + | 0.949855i | ||||
\(67\) | −8.27299 | + | 2.21674i | −1.01071 | + | 0.270818i | −0.725924 | − | 0.687775i | \(-0.758588\pi\) |
−0.284782 | + | 0.958592i | \(0.591921\pi\) | |||||||
\(68\) | 4.10696 | + | 10.4721i | 0.498042 | + | 1.26993i | ||||
\(69\) | 4.38078 | 0.527384 | ||||||||
\(70\) | 0.911080 | − | 8.31685i | 0.108895 | − | 0.994053i | ||||
\(71\) | 2.68611i | 0.318782i | 0.987216 | + | 0.159391i | \(0.0509531\pi\) | ||||
−0.987216 | + | 0.159391i | \(0.949047\pi\) | |||||||
\(72\) | 0.373755 | + | 0.0351913i | 0.0440475 | + | 0.00414733i | ||||
\(73\) | 0.400874 | + | 1.49608i | 0.0469188 | + | 0.175103i | 0.985409 | − | 0.170202i | \(-0.0544420\pi\) |
−0.938490 | + | 0.345305i | \(0.887775\pi\) | |||||||
\(74\) | −12.2882 | + | 8.04333i | −1.42847 | + | 0.935018i | ||||
\(75\) | −6.18916 | − | 5.77720i | −0.714663 | − | 0.667094i | ||||
\(76\) | −4.25035 | − | 5.76206i | −0.487548 | − | 0.660954i | ||||
\(77\) | −15.3094 | − | 2.82209i | −1.74466 | − | 0.321607i | ||||
\(78\) | −1.58015 | − | 4.80405i | −0.178916 | − | 0.543952i | ||||
\(79\) | 1.03331 | + | 1.78974i | 0.116256 | + | 0.201361i | 0.918281 | − | 0.395929i | \(-0.129577\pi\) |
−0.802025 | + | 0.597290i | \(0.796244\pi\) | |||||||
\(80\) | 4.31085 | + | 7.83687i | 0.481968 | + | 0.876189i | ||||
\(81\) | −4.29210 | + | 7.43414i | −0.476900 | + | 0.826015i | ||||
\(82\) | −2.30300 | + | 2.57640i | −0.254324 | + | 0.284516i | ||||
\(83\) | −0.700162 | + | 0.700162i | −0.0768527 | + | 0.0768527i | −0.744488 | − | 0.667636i | \(-0.767306\pi\) |
0.667636 | + | 0.744488i | \(0.267306\pi\) | |||||||
\(84\) | −5.87477 | − | 6.76541i | −0.640990 | − | 0.738166i | ||||
\(85\) | 6.47467 | + | 10.7817i | 0.702277 | + | 1.16944i | ||||
\(86\) | 0.862091 | + | 15.3857i | 0.0929617 | + | 1.65908i | ||||
\(87\) | −2.63901 | − | 9.84893i | −0.282932 | − | 1.05592i | ||||
\(88\) | 15.1291 | − | 6.93338i | 1.61276 | − | 0.739101i | ||||
\(89\) | −3.21668 | + | 1.85715i | −0.340968 | + | 0.196858i | −0.660700 | − | 0.750650i | \(-0.729740\pi\) |
0.319732 | + | 0.947508i | \(0.396407\pi\) | |||||||
\(90\) | 0.418596 | − | 0.0306877i | 0.0441239 | − | 0.00323476i | ||||
\(91\) | 2.40058 | − | 5.04548i | 0.251649 | − | 0.528910i | ||||
\(92\) | −5.11626 | − | 0.772475i | −0.533407 | − | 0.0805361i | ||||
\(93\) | −0.534098 | + | 1.99328i | −0.0553833 | + | 0.206693i | ||||
\(94\) | 5.09548 | − | 3.33528i | 0.525559 | − | 0.344008i | ||||
\(95\) | −5.75710 | − | 5.56231i | −0.590666 | − | 0.570681i | ||||
\(96\) | 9.29566 | + | 2.31160i | 0.948734 | + | 0.235927i | ||||
\(97\) | 2.71232 | + | 2.71232i | 0.275394 | + | 0.275394i | 0.831267 | − | 0.555873i | \(-0.187616\pi\) |
−0.555873 | + | 0.831267i | \(0.687616\pi\) | |||||||
\(98\) | 0.463224 | − | 9.88865i | 0.0467927 | − | 0.998905i | ||||
\(99\) | − | 0.780950i | − | 0.0784884i | ||||||
\(100\) | 6.20954 | + | 7.83847i | 0.620954 | + | 0.783847i | ||||
\(101\) | −2.82950 | − | 1.63361i | −0.281546 | − | 0.162550i | 0.352577 | − | 0.935783i | \(-0.385305\pi\) |
−0.634123 | + | 0.773232i | \(0.718639\pi\) | |||||||
\(102\) | 13.1843 | + | 2.75265i | 1.30544 | + | 0.272553i | ||||
\(103\) | −4.36644 | + | 16.2958i | −0.430238 | + | 1.60567i | 0.321973 | + | 0.946749i | \(0.395654\pi\) |
−0.752211 | + | 0.658922i | \(0.771013\pi\) | |||||||
\(104\) | 0.998321 | + | 5.88922i | 0.0978934 | + | 0.577486i | ||||
\(105\) | −7.73451 | − | 6.36647i | −0.754811 | − | 0.621304i | ||||
\(106\) | 3.09210 | − | 6.12319i | 0.300331 | − | 0.594737i | ||||
\(107\) | 3.16489 | − | 11.8115i | 0.305962 | − | 1.14186i | −0.626153 | − | 0.779700i | \(-0.715371\pi\) |
0.932114 | − | 0.362164i | \(-0.117962\pi\) | |||||||
\(108\) | 6.61689 | − | 8.29302i | 0.636711 | − | 0.797996i | ||||
\(109\) | 0.360683 | − | 0.624720i | 0.0345471 | − | 0.0598374i | −0.848235 | − | 0.529620i | \(-0.822334\pi\) |
0.882782 | + | 0.469783i | \(0.155668\pi\) | |||||||
\(110\) | 15.3903 | − | 10.4565i | 1.46741 | − | 0.996987i | ||||
\(111\) | 17.5849i | 1.66908i | ||||||||
\(112\) | 5.66811 | + | 8.93715i | 0.535586 | + | 0.844481i | ||||
\(113\) | −2.98437 | + | 2.98437i | −0.280746 | + | 0.280746i | −0.833406 | − | 0.552661i | \(-0.813613\pi\) |
0.552661 | + | 0.833406i | \(0.313613\pi\) | |||||||
\(114\) | −8.55967 | + | 0.479615i | −0.801687 | + | 0.0449201i | ||||
\(115\) | −5.78413 | + | 0.0995348i | −0.539373 | + | 0.00928167i | ||||
\(116\) | 1.34538 | + | 11.9678i | 0.124915 | + | 1.11118i | ||||
\(117\) | 0.270749 | + | 0.0725471i | 0.0250308 | + | 0.00670698i | ||||
\(118\) | −3.90067 | + | 1.28301i | −0.359086 | + | 0.118110i | ||||
\(119\) | 8.44034 | + | 12.2553i | 0.773725 | + | 1.12344i | ||||
\(120\) | 10.6779 | + | 0.820311i | 0.974756 | + | 0.0748838i | ||||
\(121\) | −11.8100 | − | 20.4556i | −1.07364 | − | 1.85960i | ||||
\(122\) | −2.11746 | + | 10.1420i | −0.191706 | + | 0.918210i | ||||
\(123\) | 1.07090 | + | 3.99664i | 0.0965596 | + | 0.360365i | ||||
\(124\) | 0.975246 | − | 2.23375i | 0.0875797 | − | 0.200596i | ||||
\(125\) | 8.30307 | + | 7.48726i | 0.742649 | + | 0.669680i | ||||
\(126\) | 0.492068 | − | 0.0670770i | 0.0438369 | − | 0.00597570i | ||||
\(127\) | 6.20663 | − | 6.20663i | 0.550749 | − | 0.550749i | −0.375908 | − | 0.926657i | \(-0.622669\pi\) |
0.926657 | + | 0.375908i | \(0.122669\pi\) | |||||||
\(128\) | −10.4487 | − | 4.33882i | −0.923540 | − | 0.383501i | ||||
\(129\) | 15.9790 | + | 9.22545i | 1.40687 | + | 0.812256i | ||||
\(130\) | 2.19548 | + | 6.30708i | 0.192557 | + | 0.553168i | ||||
\(131\) | 5.00092 | + | 8.66185i | 0.436933 | + | 0.756790i | 0.997451 | − | 0.0713522i | \(-0.0227314\pi\) |
−0.560518 | + | 0.828142i | \(0.689398\pi\) | |||||||
\(132\) | 2.97486 | − | 19.7031i | 0.258928 | − | 1.71493i | ||||
\(133\) | −7.20844 | − | 6.14453i | −0.625051 | − | 0.532798i | ||||
\(134\) | 5.45992 | − | 10.8121i | 0.471665 | − | 0.934024i | ||||
\(135\) | 5.75316 | − | 10.3729i | 0.495153 | − | 0.892761i | ||||
\(136\) | −14.9124 | − | 5.53960i | −1.27873 | − | 0.475017i | ||||
\(137\) | 0.567191 | − | 0.151978i | 0.0484584 | − | 0.0129844i | −0.234508 | − | 0.972114i | \(-0.575348\pi\) |
0.282967 | + | 0.959130i | \(0.408681\pi\) | |||||||
\(138\) | −4.12884 | + | 4.61900i | −0.351470 | + | 0.393196i | ||||
\(139\) | 12.9871i | 1.10155i | 0.834653 | + | 0.550776i | \(0.185668\pi\) | ||||
−0.834653 | + | 0.550776i | \(0.814332\pi\) | |||||||
\(140\) | 7.91042 | + | 8.79917i | 0.668552 | + | 0.743665i | ||||
\(141\) | − | 7.29183i | − | 0.614083i | ||||||
\(142\) | −2.83217 | − | 2.53163i | −0.237670 | − | 0.212449i | ||||
\(143\) | 12.0025 | − | 3.21607i | 1.00370 | − | 0.268941i | ||||
\(144\) | −0.389366 | + | 0.360912i | −0.0324471 | + | 0.0300760i | ||||
\(145\) | 3.70817 | + | 12.9440i | 0.307947 | + | 1.07494i | ||||
\(146\) | −1.95526 | − | 0.987369i | −0.161818 | − | 0.0817153i | ||||
\(147\) | −9.60285 | − | 6.94850i | −0.792029 | − | 0.573103i | ||||
\(148\) | 3.10079 | − | 20.5372i | 0.254883 | − | 1.68814i | ||||
\(149\) | 0.871704 | + | 1.50983i | 0.0714127 | + | 0.123690i | 0.899521 | − | 0.436878i | \(-0.143916\pi\) |
−0.828108 | + | 0.560569i | \(0.810583\pi\) | |||||||
\(150\) | 11.9246 | − | 1.08077i | 0.973638 | − | 0.0882442i | ||||
\(151\) | 13.5367 | + | 7.81542i | 1.10160 | + | 0.636010i | 0.936641 | − | 0.350290i | \(-0.113917\pi\) |
0.164960 | + | 0.986300i | \(0.447250\pi\) | |||||||
\(152\) | 10.0813 | + | 0.949214i | 0.817701 | + | 0.0769914i | ||||
\(153\) | −0.527857 | + | 0.527857i | −0.0426747 | + | 0.0426747i | ||||
\(154\) | 17.4045 | − | 13.4821i | 1.40249 | − | 1.08642i | ||||
\(155\) | 0.659902 | − | 2.64394i | 0.0530046 | − | 0.212367i | ||||
\(156\) | 6.55456 | + | 2.86170i | 0.524784 | + | 0.229119i | ||||
\(157\) | 6.20461 | + | 23.1559i | 0.495181 | + | 1.84804i | 0.529012 | + | 0.848615i | \(0.322563\pi\) |
−0.0338301 | + | 0.999428i | \(0.510771\pi\) | |||||||
\(158\) | −2.86094 | − | 0.597315i | −0.227604 | − | 0.0475199i | ||||
\(159\) | −4.10667 | − | 7.11297i | −0.325681 | − | 0.564095i | ||||
\(160\) | −12.3260 | − | 2.84090i | −0.974453 | − | 0.224593i | ||||
\(161\) | −6.82326 | + | 0.543651i | −0.537748 | + | 0.0428457i | ||||
\(162\) | −3.79313 | − | 11.5321i | −0.298016 | − | 0.906047i | ||||
\(163\) | −8.16881 | − | 2.18883i | −0.639830 | − | 0.171442i | −0.0757038 | − | 0.997130i | \(-0.524120\pi\) |
−0.564127 | + | 0.825688i | \(0.690787\pi\) | |||||||
\(164\) | −0.545948 | − | 4.85646i | −0.0426314 | − | 0.379226i | ||||
\(165\) | −0.383316 | − | 22.2751i | −0.0298411 | − | 1.73411i | ||||
\(166\) | −0.0783400 | − | 1.39813i | −0.00608036 | − | 0.108516i | ||||
\(167\) | −1.37400 | + | 1.37400i | −0.106323 | + | 0.106323i | −0.758267 | − | 0.651944i | \(-0.773954\pi\) |
0.651944 | + | 0.758267i | \(0.273954\pi\) | |||||||
\(168\) | 12.6702 | + | 0.182096i | 0.977528 | + | 0.0140490i | ||||
\(169\) | − | 8.54006i | − | 0.656927i | ||||||
\(170\) | −17.4703 | − | 3.33488i | −1.33991 | − | 0.255773i | ||||
\(171\) | 0.237584 | − | 0.411508i | 0.0181685 | − | 0.0314688i | ||||
\(172\) | −17.0349 | − | 13.5919i | −1.29890 | − | 1.03637i | ||||
\(173\) | −3.93815 | + | 14.6974i | −0.299412 | + | 1.11742i | 0.638238 | + | 0.769839i | \(0.279664\pi\) |
−0.937650 | + | 0.347582i | \(0.887003\pi\) | |||||||
\(174\) | 12.8717 | + | 6.49999i | 0.975804 | + | 0.492763i | ||||
\(175\) | 10.3568 | + | 8.23018i | 0.782904 | + | 0.622143i | ||||
\(176\) | −6.94859 | + | 22.4864i | −0.523770 | + | 1.69498i | ||||
\(177\) | −1.27251 | + | 4.74908i | −0.0956478 | + | 0.356963i | ||||
\(178\) | 1.07355 | − | 5.14195i | 0.0804659 | − | 0.385405i | ||||
\(179\) | 9.39695 | + | 5.42533i | 0.702361 | + | 0.405508i | 0.808226 | − | 0.588872i | \(-0.200428\pi\) |
−0.105865 | + | 0.994380i | \(0.533761\pi\) | |||||||
\(180\) | −0.362166 | + | 0.470281i | −0.0269943 | + | 0.0350527i | ||||
\(181\) | 2.62305i | 0.194970i | 0.995237 | + | 0.0974849i | \(0.0310798\pi\) | ||||
−0.995237 | + | 0.0974849i | \(0.968920\pi\) | |||||||
\(182\) | 3.05732 | + | 7.28642i | 0.226624 | + | 0.540106i | ||||
\(183\) | 8.77185 | + | 8.77185i | 0.648434 | + | 0.648434i | ||||
\(184\) | 5.63650 | − | 4.66642i | 0.415529 | − | 0.344013i | ||||
\(185\) | −0.399542 | − | 23.2180i | −0.0293749 | − | 1.70702i | ||||
\(186\) | −1.59829 | − | 2.44179i | −0.117192 | − | 0.179040i | ||||
\(187\) | −8.56509 | + | 31.9654i | −0.626342 | + | 2.33754i | ||||
\(188\) | −1.28579 | + | 8.51603i | −0.0937757 | + | 0.621095i | ||||
\(189\) | 6.02987 | − | 12.6734i | 0.438608 | − | 0.921857i | ||||
\(190\) | 11.2908 | − | 0.827738i | 0.819120 | − | 0.0600504i | ||||
\(191\) | 0.0199675 | − | 0.0115282i | 0.00144480 | − | 0.000834154i | −0.499277 | − | 0.866442i | \(-0.666401\pi\) |
0.500722 | + | 0.865608i | \(0.333068\pi\) | |||||||
\(192\) | −11.1984 | + | 7.62248i | −0.808172 | + | 0.550105i | ||||
\(193\) | 1.95654 | + | 7.30191i | 0.140835 | + | 0.525603i | 0.999906 | + | 0.0137459i | \(0.00437559\pi\) |
−0.859071 | + | 0.511857i | \(0.828958\pi\) | |||||||
\(194\) | −5.41614 | + | 0.303477i | −0.388856 | + | 0.0217884i | ||||
\(195\) | 7.75821 | + | 1.93637i | 0.555577 | + | 0.138667i | ||||
\(196\) | 9.98979 | + | 9.80837i | 0.713557 | + | 0.700598i | ||||
\(197\) | −9.05691 | + | 9.05691i | −0.645278 | + | 0.645278i | −0.951848 | − | 0.306570i | \(-0.900819\pi\) |
0.306570 | + | 0.951848i | \(0.400819\pi\) | |||||||
\(198\) | 0.823417 | + | 0.736037i | 0.0585177 | + | 0.0523079i | ||||
\(199\) | −0.296991 | + | 0.514403i | −0.0210531 | + | 0.0364651i | −0.876360 | − | 0.481657i | \(-0.840035\pi\) |
0.855307 | + | 0.518122i | \(0.173369\pi\) | |||||||
\(200\) | −14.1171 | − | 0.840480i | −0.998232 | − | 0.0594309i | ||||
\(201\) | −7.25142 | − | 12.5598i | −0.511476 | − | 0.885902i | ||||
\(202\) | 4.38922 | − | 1.44370i | 0.308824 | − | 0.101578i | ||||
\(203\) | 5.33262 | + | 15.0126i | 0.374276 | + | 1.05368i | ||||
\(204\) | −15.3284 | + | 11.3069i | −1.07320 | + | 0.791639i | ||||
\(205\) | −1.50476 | − | 5.25260i | −0.105097 | − | 0.366858i | ||||
\(206\) | −13.0666 | − | 19.9625i | −0.910392 | − | 1.39085i | ||||
\(207\) | −0.0888736 | − | 0.331681i | −0.00617714 | − | 0.0230534i | ||||
\(208\) | −7.15037 | − | 4.49792i | −0.495789 | − | 0.311875i | ||||
\(209\) | − | 21.0646i | − | 1.45707i | ||||||
\(210\) | 14.0024 | − | 2.15476i | 0.966255 | − | 0.148693i | ||||
\(211\) | 4.15052 | 0.285734 | 0.142867 | − | 0.989742i | \(-0.454368\pi\) | ||||
0.142867 | + | 0.989742i | \(0.454368\pi\) | |||||||
\(212\) | 3.54188 | + | 9.03129i | 0.243258 | + | 0.620271i | ||||
\(213\) | −4.39341 | + | 1.17721i | −0.301031 | + | 0.0806611i | ||||
\(214\) | 9.47095 | + | 14.4692i | 0.647421 | + | 0.989097i | ||||
\(215\) | −21.3073 | − | 11.8177i | −1.45314 | − | 0.805960i | ||||
\(216\) | 2.50762 | + | 14.7928i | 0.170622 | + | 1.00652i | ||||
\(217\) | 0.584517 | − | 3.17090i | 0.0396796 | − | 0.215255i | ||||
\(218\) | 0.318752 | + | 0.969088i | 0.0215886 | + | 0.0656349i | ||||
\(219\) | −2.27131 | + | 1.31134i | −0.153481 | + | 0.0886123i | ||||
\(220\) | −3.48016 | + | 26.0824i | −0.234632 | + | 1.75847i | ||||
\(221\) | −10.2865 | − | 5.93891i | −0.691944 | − | 0.399494i | ||||
\(222\) | −18.5411 | − | 16.5736i | −1.24440 | − | 1.11235i | ||||
\(223\) | −17.8824 | − | 17.8824i | −1.19749 | − | 1.19749i | −0.974915 | − | 0.222576i | \(-0.928553\pi\) |
−0.222576 | − | 0.974915i | \(-0.571447\pi\) | |||||||
\(224\) | −14.7653 | − | 2.44684i | −0.986546 | − | 0.163486i | ||||
\(225\) | −0.311847 | + | 0.585801i | −0.0207898 | + | 0.0390534i | ||||
\(226\) | −0.333916 | − | 5.95938i | −0.0222118 | − | 0.396412i | ||||
\(227\) | 2.48748 | − | 0.666517i | 0.165100 | − | 0.0442383i | −0.175322 | − | 0.984511i | \(-0.556097\pi\) |
0.340422 | + | 0.940273i | \(0.389430\pi\) | |||||||
\(228\) | 7.56170 | − | 9.47716i | 0.500786 | − | 0.627640i | ||||
\(229\) | 7.05872 | + | 12.2261i | 0.466453 | + | 0.807921i | 0.999266 | − | 0.0383127i | \(-0.0121983\pi\) |
−0.532813 | + | 0.846233i | \(0.678865\pi\) | |||||||
\(230\) | 5.34653 | − | 6.19247i | 0.352540 | − | 0.408319i | ||||
\(231\) | −2.09364 | − | 26.2769i | −0.137751 | − | 1.72889i | ||||
\(232\) | −13.8866 | − | 9.86097i | −0.911698 | − | 0.647404i | ||||
\(233\) | 0.377137 | + | 0.101054i | 0.0247071 | + | 0.00662024i | 0.271151 | − | 0.962537i | \(-0.412596\pi\) |
−0.246444 | + | 0.969157i | \(0.579262\pi\) | |||||||
\(234\) | −0.331671 | + | 0.217097i | −0.0216820 | + | 0.0141921i | ||||
\(235\) | 0.165676 | + | 9.62770i | 0.0108075 | + | 0.628042i | ||||
\(236\) | 2.32357 | − | 5.32200i | 0.151251 | − | 0.346433i | ||||
\(237\) | −2.47445 | + | 2.47445i | −0.160733 | + | 0.160733i | ||||
\(238\) | −20.8767 | − | 2.65122i | −1.35324 | − | 0.171853i | ||||
\(239\) | −8.73515 | −0.565030 | −0.282515 | − | 0.959263i | \(-0.591169\pi\) | ||||
−0.282515 | + | 0.959263i | \(0.591169\pi\) | |||||||
\(240\) | −10.9287 | + | 10.4854i | −0.705448 | + | 0.676832i | ||||
\(241\) | −2.75576 | + | 4.77312i | −0.177514 | + | 0.307464i | −0.941029 | − | 0.338327i | \(-0.890139\pi\) |
0.763514 | + | 0.645791i | \(0.223472\pi\) | |||||||
\(242\) | 32.6988 | + | 6.82694i | 2.10196 | + | 0.438852i | ||||
\(243\) | 1.33135 | + | 0.356733i | 0.0854059 | + | 0.0228844i | ||||
\(244\) | −8.69777 | − | 11.7913i | −0.556818 | − | 0.754860i | ||||
\(245\) | 12.8369 | + | 8.95621i | 0.820120 | + | 0.572191i | ||||
\(246\) | −5.22328 | − | 2.63766i | −0.333024 | − | 0.168171i | ||||
\(247\) | 7.30292 | + | 1.95681i | 0.464674 | + | 0.124509i | ||||
\(248\) | 1.43605 | + | 3.13356i | 0.0911895 | + | 0.198981i | ||||
\(249\) | −1.45204 | − | 0.838336i | −0.0920193 | − | 0.0531274i | ||||
\(250\) | −15.7200 | + | 1.69792i | −0.994217 | + | 0.107386i | ||||
\(251\) | 5.18227 | 0.327102 | 0.163551 | − | 0.986535i | \(-0.447705\pi\) | ||||
0.163551 | + | 0.986535i | \(0.447705\pi\) | |||||||
\(252\) | −0.393044 | + | 0.582045i | −0.0247595 | + | 0.0366654i | ||||
\(253\) | −10.7638 | − | 10.7638i | −0.676715 | − | 0.676715i | ||||
\(254\) | 0.694450 | + | 12.3938i | 0.0435737 | + | 0.777657i | ||||
\(255\) | −14.7970 | + | 15.3152i | −0.926624 | + | 0.959073i | ||||
\(256\) | 14.4225 | − | 6.92756i | 0.901407 | − | 0.432972i | ||||
\(257\) | 5.31127 | − | 19.8219i | 0.331308 | − | 1.23646i | −0.576509 | − | 0.817091i | \(-0.695585\pi\) |
0.907817 | − | 0.419367i | \(-0.137748\pi\) | |||||||
\(258\) | −24.7871 | + | 8.15296i | −1.54318 | + | 0.507581i | ||||
\(259\) | −2.18227 | − | 27.3892i | −0.135599 | − | 1.70188i | ||||
\(260\) | −8.71927 | − | 3.62949i | −0.540746 | − | 0.225092i | ||||
\(261\) | −0.692150 | + | 0.399613i | −0.0428430 | + | 0.0247354i | ||||
\(262\) | −13.8462 | − | 2.89084i | −0.855420 | − | 0.178597i | ||||
\(263\) | 10.5417 | − | 2.82463i | 0.650027 | − | 0.174174i | 0.0812857 | − | 0.996691i | \(-0.474097\pi\) |
0.568741 | + | 0.822517i | \(0.307431\pi\) | |||||||
\(264\) | 17.9707 | + | 21.7066i | 1.10602 | + | 1.33595i | ||||
\(265\) | 5.58382 | + | 9.29824i | 0.343012 | + | 0.571186i | ||||
\(266\) | 13.2725 | − | 1.80927i | 0.813792 | − | 0.110933i | ||||
\(267\) | −4.44731 | − | 4.44731i | −0.272171 | − | 0.272171i | ||||
\(268\) | 6.25413 | + | 15.9471i | 0.382032 | + | 0.974126i | ||||
\(269\) | 1.74432 | − | 3.02125i | 0.106353 | − | 0.184209i | −0.807937 | − | 0.589269i | \(-0.799416\pi\) |
0.914290 | + | 0.405060i | \(0.132749\pi\) | |||||||
\(270\) | 5.51471 | + | 15.8424i | 0.335614 | + | 0.964138i | ||||
\(271\) | 16.7981 | − | 9.69836i | 1.02041 | − | 0.589134i | 0.106187 | − | 0.994346i | \(-0.466136\pi\) |
0.914223 | + | 0.405213i | \(0.132802\pi\) | |||||||
\(272\) | 19.8956 | − | 10.5023i | 1.20635 | − | 0.636793i | ||||
\(273\) | 9.30448 | + | 1.71517i | 0.563133 | + | 0.103807i | ||||
\(274\) | −0.374329 | + | 0.741271i | −0.0226140 | + | 0.0447818i | ||||
\(275\) | 1.01221 | + | 29.4020i | 0.0610388 | + | 1.77301i | ||||
\(276\) | −0.978782 | − | 8.70672i | −0.0589158 | − | 0.524083i | ||||
\(277\) | −4.87718 | − | 18.2019i | −0.293041 | − | 1.09364i | −0.942761 | − | 0.333470i | \(-0.891780\pi\) |
0.649719 | − | 0.760174i | \(-0.274886\pi\) | |||||||
\(278\) | −13.6933 | − | 12.2402i | −0.821271 | − | 0.734120i | ||||
\(279\) | 0.161752 | 0.00968382 | ||||||||
\(280\) | −16.7331 | + | 0.0474479i | −0.999996 | + | 0.00283556i | ||||
\(281\) | 16.2908 | 0.971826 | 0.485913 | − | 0.874007i | \(-0.338487\pi\) | ||||
0.485913 | + | 0.874007i | \(0.338487\pi\) | |||||||
\(282\) | 7.68834 | + | 6.87247i | 0.457834 | + | 0.409250i | ||||
\(283\) | −1.50164 | − | 5.60419i | −0.0892632 | − | 0.333135i | 0.906824 | − | 0.421509i | \(-0.138499\pi\) |
−0.996087 | + | 0.0883744i | \(0.971833\pi\) | |||||||
\(284\) | 5.33858 | − | 0.600147i | 0.316787 | − | 0.0356122i | ||||
\(285\) | 6.57464 | − | 11.8541i | 0.389448 | − | 0.702175i | ||||
\(286\) | −7.92130 | + | 15.6863i | −0.468397 | + | 0.927551i | ||||
\(287\) | −2.16395 | − | 6.09205i | −0.127734 | − | 0.359602i | ||||
\(288\) | −0.0135649 | − | 0.750694i | −0.000799317 | − | 0.0442351i | ||||
\(289\) | 12.6728 | − | 7.31662i | 0.745456 | − | 0.430390i | ||||
\(290\) | −17.1428 | − | 8.28975i | −1.00666 | − | 0.486791i | ||||
\(291\) | −3.24758 | + | 5.62497i | −0.190376 | + | 0.329742i | ||||
\(292\) | 2.88387 | − | 1.13099i | 0.168766 | − | 0.0661864i | ||||
\(293\) | −11.5039 | − | 11.5039i | −0.672066 | − | 0.672066i | 0.286126 | − | 0.958192i | \(-0.407632\pi\) |
−0.958192 | + | 0.286126i | \(0.907632\pi\) | |||||||
\(294\) | 16.3769 | − | 3.57614i | 0.955122 | − | 0.208565i | ||||
\(295\) | 1.57225 | − | 6.29932i | 0.0915398 | − | 0.366760i | ||||
\(296\) | 18.7315 | + | 22.6255i | 1.08874 | + | 1.31508i | ||||
\(297\) | 30.1484 | − | 8.07825i | 1.74939 | − | 0.468748i | ||||
\(298\) | −2.41351 | − | 0.503899i | −0.139811 | − | 0.0291901i | ||||
\(299\) | 4.73165 | − | 2.73182i | 0.273638 | − | 0.157985i | ||||
\(300\) | −10.0993 | + | 13.5916i | −0.583081 | + | 0.784713i | ||||
\(301\) | −26.0328 | − | 12.3861i | −1.50050 | − | 0.713922i | ||||
\(302\) | −20.9986 | + | 6.90685i | −1.20833 | + | 0.397445i | ||||
\(303\) | 1.43189 | − | 5.34389i | 0.0822599 | − | 0.306998i | ||||
\(304\) | −10.5024 | + | 9.73488i | −0.602351 | + | 0.558334i | ||||
\(305\) | −11.7811 | − | 11.3825i | −0.674586 | − | 0.651762i | ||||
\(306\) | −0.0590610 | − | 1.05406i | −0.00337630 | − | 0.0602566i | ||||
\(307\) | −12.3338 | − | 12.3338i | −0.703927 | − | 0.703927i | 0.261324 | − | 0.965251i | \(-0.415841\pi\) |
−0.965251 | + | 0.261324i | \(0.915841\pi\) | |||||||
\(308\) | −2.18834 | + | 31.0576i | −0.124692 | + | 1.76967i | ||||
\(309\) | −28.5671 | −1.62512 | ||||||||
\(310\) | 2.16577 | + | 3.18768i | 0.123007 | + | 0.181048i | ||||
\(311\) | 16.9086 | + | 9.76219i | 0.958799 | + | 0.553563i | 0.895803 | − | 0.444451i | \(-0.146601\pi\) |
0.0629960 | + | 0.998014i | \(0.479934\pi\) | |||||||
\(312\) | −9.19491 | + | 4.21386i | −0.520559 | + | 0.238563i | ||||
\(313\) | −30.4907 | − | 8.16997i | −1.72344 | − | 0.461794i | −0.744784 | − | 0.667305i | \(-0.767448\pi\) |
−0.978655 | + | 0.205511i | \(0.934114\pi\) | |||||||
\(314\) | −30.2629 | − | 15.2822i | −1.70783 | − | 0.862424i | ||||
\(315\) | −0.325111 | + | 0.714758i | −0.0183179 | + | 0.0402720i | ||||
\(316\) | 3.32621 | − | 2.45355i | 0.187114 | − | 0.138023i | ||||
\(317\) | 10.7973 | + | 2.89312i | 0.606436 | + | 0.162494i | 0.548954 | − | 0.835853i | \(-0.315026\pi\) |
0.0574819 | + | 0.998347i | \(0.481693\pi\) | |||||||
\(318\) | 11.3703 | + | 2.37391i | 0.637612 | + | 0.133122i | ||||
\(319\) | −17.7151 | + | 30.6835i | −0.991857 | + | 1.71795i | ||||
\(320\) | 14.6125 | − | 10.3187i | 0.816862 | − | 0.576833i | ||||
\(321\) | 20.7060 | 1.15570 | ||||||||
\(322\) | 5.85764 | − | 7.70668i | 0.326434 | − | 0.429477i | ||||
\(323\) | −14.2379 | + | 14.2379i | −0.792216 | + | 0.792216i | ||||
\(324\) | 15.7342 | + | 6.86949i | 0.874121 | + | 0.381638i | ||||
\(325\) | −10.2875 | − | 2.38040i | −0.570647 | − | 0.132041i | ||||
\(326\) | 10.0069 | − | 6.55007i | 0.554229 | − | 0.362775i | ||||
\(327\) | 1.17987 | + | 0.316145i | 0.0652468 | + | 0.0174828i | ||||
\(328\) | 5.63510 | + | 4.00153i | 0.311146 | + | 0.220948i | ||||
\(329\) | 0.904908 | + | 11.3573i | 0.0498892 | + | 0.626151i | ||||
\(330\) | 23.8476 | + | 20.5899i | 1.31277 | + | 1.13344i | ||||
\(331\) | 0.741372 | + | 1.28409i | 0.0407495 | + | 0.0705802i | 0.885681 | − | 0.464295i | \(-0.153692\pi\) |
−0.844931 | + | 0.534875i | \(0.820359\pi\) | |||||||
\(332\) | 1.54799 | + | 1.23512i | 0.0849572 | + | 0.0677862i | ||||
\(333\) | 1.33140 | − | 0.356747i | 0.0729602 | − | 0.0195496i | ||||
\(334\) | −0.153735 | − | 2.74370i | −0.00841199 | − | 0.150128i | ||||
\(335\) | 9.85972 | + | 16.4185i | 0.538694 | + | 0.897038i | ||||
\(336\) | −12.1335 | + | 13.1876i | −0.661939 | + | 0.719441i | ||||
\(337\) | 18.6334 | + | 18.6334i | 1.01503 | + | 1.01503i | 0.999885 | + | 0.0151418i | \(0.00481996\pi\) |
0.0151418 | + | 0.999885i | \(0.495180\pi\) | |||||||
\(338\) | 9.00445 | + | 8.04891i | 0.489777 | + | 0.437803i | ||||
\(339\) | −6.18917 | − | 3.57332i | −0.336149 | − | 0.194076i | ||||
\(340\) | 19.9818 | − | 15.2772i | 1.08366 | − | 0.828523i | ||||
\(341\) | 6.20990 | − | 3.58529i | 0.336285 | − | 0.194154i | ||||
\(342\) | 0.209964 | + | 0.638345i | 0.0113536 | + | 0.0345178i | ||||
\(343\) | 15.8192 | + | 9.63090i | 0.854154 | + | 0.520020i | ||||
\(344\) | 30.3862 | − | 5.15096i | 1.63831 | − | 0.277721i | ||||
\(345\) | −2.69775 | − | 9.41692i | −0.145242 | − | 0.506990i | ||||
\(346\) | −11.7849 | − | 18.0044i | −0.633562 | − | 0.967924i | ||||
\(347\) | 6.04259 | − | 1.61911i | 0.324383 | − | 0.0869182i | −0.0929527 | − | 0.995671i | \(-0.529631\pi\) |
0.417336 | + | 0.908752i | \(0.362964\pi\) | |||||||
\(348\) | −18.9849 | + | 7.44550i | −1.01770 | + | 0.399120i | ||||
\(349\) | 25.9932 | 1.39138 | 0.695692 | − | 0.718340i | \(-0.255098\pi\) | ||||
0.695692 | + | 0.718340i | \(0.255098\pi\) | |||||||
\(350\) | −18.4389 | + | 3.16317i | −0.985603 | + | 0.169079i | ||||
\(351\) | 11.2027i | 0.597955i | ||||||||
\(352\) | −17.1602 | − | 28.5196i | −0.914641 | − | 1.52010i | ||||
\(353\) | 3.47213 | + | 12.9582i | 0.184803 | + | 0.689694i | 0.994673 | + | 0.103084i | \(0.0328710\pi\) |
−0.809870 | + | 0.586610i | \(0.800462\pi\) | |||||||
\(354\) | −3.80800 | − | 5.81767i | −0.202393 | − | 0.309205i | ||||
\(355\) | 5.77405 | − | 1.65414i | 0.306455 | − | 0.0877926i | ||||
\(356\) | 4.40975 | + | 5.97816i | 0.233716 | + | 0.316842i | ||||
\(357\) | −16.3458 | + | 19.1761i | −0.865113 | + | 1.01491i | ||||
\(358\) | −14.5769 | + | 4.79462i | −0.770412 | + | 0.253403i | ||||
\(359\) | −4.00935 | − | 6.94440i | −0.211605 | − | 0.366511i | 0.740612 | − | 0.671933i | \(-0.234536\pi\) |
−0.952217 | + | 0.305422i | \(0.901202\pi\) | |||||||
\(360\) | −0.154517 | − | 0.825095i | −0.00814374 | − | 0.0434863i | ||||
\(361\) | −3.09165 | + | 5.35489i | −0.162718 | + | 0.281836i | ||||
\(362\) | −2.76569 | − | 2.47220i | −0.145361 | − | 0.129936i | ||||
\(363\) | 28.2814 | − | 28.2814i | 1.48439 | − | 1.48439i | ||||
\(364\) | −10.5641 | − | 3.64381i | −0.553712 | − | 0.190987i | ||||
\(365\) | 2.96911 | − | 1.78303i | 0.155410 | − | 0.0933278i | ||||
\(366\) | −17.5162 | + | 0.981469i | −0.915588 | + | 0.0513022i | ||||
\(367\) | −2.83454 | − | 10.5787i | −0.147962 | − | 0.552202i | −0.999606 | − | 0.0280804i | \(-0.991061\pi\) |
0.851644 | − | 0.524121i | \(-0.175606\pi\) | |||||||
\(368\) | −0.392173 | + | 10.3411i | −0.0204434 | + | 0.539065i | ||||
\(369\) | 0.280871 | − | 0.162161i | 0.0146216 | − | 0.00844176i | ||||
\(370\) | 24.8572 | + | 21.4615i | 1.29226 | + | 1.11573i | ||||
\(371\) | 7.27904 | + | 10.5691i | 0.377909 | + | 0.548722i | ||||
\(372\) | 4.08094 | + | 0.616158i | 0.211587 | + | 0.0319463i | ||||
\(373\) | 4.29241 | − | 16.0195i | 0.222252 | − | 0.829457i | −0.761234 | − | 0.648477i | \(-0.775406\pi\) |
0.983487 | − | 0.180980i | \(-0.0579270\pi\) | |||||||
\(374\) | −25.6311 | − | 39.1579i | −1.32535 | − | 2.02481i | ||||
\(375\) | −8.60729 | + | 16.8619i | −0.444479 | + | 0.870745i | ||||
\(376\) | −7.76728 | − | 9.38198i | −0.400567 | − | 0.483839i | ||||
\(377\) | −8.99208 | − | 8.99208i | −0.463116 | − | 0.463116i | ||||
\(378\) | 7.67951 | + | 18.3024i | 0.394992 | + | 0.941371i | ||||
\(379\) | − | 9.42276i | − | 0.484015i | −0.970274 | − | 0.242007i | \(-0.922194\pi\) | ||
0.970274 | − | 0.242007i | \(-0.0778058\pi\) | |||||||
\(380\) | −9.76870 | + | 12.6849i | −0.501124 | + | 0.650721i | ||||
\(381\) | 12.8717 | + | 7.43148i | 0.659437 | + | 0.380726i | ||||
\(382\) | −0.00666403 | + | 0.0319185i | −0.000340962 | + | 0.00163309i | ||||
\(383\) | 0.531192 | − | 1.98243i | 0.0271426 | − | 0.101298i | −0.951026 | − | 0.309112i | \(-0.899968\pi\) |
0.978168 | + | 0.207814i | \(0.0666349\pi\) | |||||||
\(384\) | 2.51737 | − | 18.9914i | 0.128464 | − | 0.969152i | ||||
\(385\) | 3.36134 | + | 34.6469i | 0.171310 | + | 1.76577i | ||||
\(386\) | −9.54299 | − | 4.81904i | −0.485726 | − | 0.245283i | ||||
\(387\) | 0.374316 | − | 1.39697i | 0.0190276 | − | 0.0710118i | ||||
\(388\) | 4.78467 | − | 5.99668i | 0.242905 | − | 0.304435i | ||||
\(389\) | 15.8557 | − | 27.4629i | 0.803916 | − | 1.39242i | −0.113105 | − | 0.993583i | \(-0.536080\pi\) |
0.917021 | − | 0.398840i | \(-0.130587\pi\) | |||||||
\(390\) | −9.35370 | + | 6.35508i | −0.473643 | + | 0.321802i | ||||
\(391\) | 14.5509i | 0.735869i | ||||||||
\(392\) | −19.7570 | + | 1.28874i | −0.997879 | + | 0.0650910i | ||||
\(393\) | −11.9757 | + | 11.9757i | −0.604093 | + | 0.604093i | ||||
\(394\) | −1.01336 | − | 18.0855i | −0.0510525 | − | 0.911132i | ||||
\(395\) | 3.21090 | − | 3.32334i | 0.161558 | − | 0.167215i | ||||
\(396\) | −1.55212 | + | 0.174485i | −0.0779971 | + | 0.00876819i | ||||
\(397\) | 1.08060 | + | 0.289547i | 0.0542339 | + | 0.0145319i | 0.285834 | − | 0.958279i | \(-0.407729\pi\) |
−0.231600 | + | 0.972811i | \(0.574396\pi\) | |||||||
\(398\) | −0.262465 | − | 0.797960i | −0.0131562 | − | 0.0399981i | ||||
\(399\) | 6.89086 | − | 14.4831i | 0.344974 | − | 0.725060i | ||||
\(400\) | 14.1914 | − | 14.0927i | 0.709572 | − | 0.704633i | ||||
\(401\) | 12.5923 | + | 21.8106i | 0.628831 | + | 1.08917i | 0.987787 | + | 0.155813i | \(0.0497996\pi\) |
−0.358956 | + | 0.933355i | \(0.616867\pi\) | |||||||
\(402\) | 20.0772 | + | 4.19177i | 1.00136 | + | 0.209066i | ||||
\(403\) | 0.666117 | + | 2.48598i | 0.0331817 | + | 0.123836i | ||||
\(404\) | −2.61459 | + | 5.98857i | −0.130081 | + | 0.297942i | ||||
\(405\) | 18.6235 | + | 4.64825i | 0.925411 | + | 0.230974i | ||||
\(406\) | −20.8549 | − | 8.52666i | −1.03501 | − | 0.423171i | ||||
\(407\) | 43.2070 | − | 43.2070i | 2.14169 | − | 2.14169i | ||||
\(408\) | 2.52512 | − | 26.8185i | 0.125012 | − | 1.32771i | ||||
\(409\) | −24.2618 | − | 14.0075i | −1.19967 | − | 0.692629i | −0.239187 | − | 0.970974i | \(-0.576881\pi\) |
−0.960481 | + | 0.278345i | \(0.910214\pi\) | |||||||
\(410\) | 6.95645 | + | 3.36394i | 0.343554 | + | 0.166133i | ||||
\(411\) | 0.497153 | + | 0.861094i | 0.0245227 | + | 0.0424746i | ||||
\(412\) | 33.3631 | + | 5.03731i | 1.64368 | + | 0.248170i | ||||
\(413\) | 1.39264 | − | 7.55482i | 0.0685272 | − | 0.371748i | ||||
\(414\) | 0.433479 | + | 0.218899i | 0.0213043 | + | 0.0107583i | ||||
\(415\) | 1.93624 | + | 1.07390i | 0.0950461 | + | 0.0527156i | ||||
\(416\) | 11.4817 | − | 3.29995i | 0.562935 | − | 0.161793i | ||||
\(417\) | −21.2418 | + | 5.69172i | −1.04021 | + | 0.278725i | ||||
\(418\) | 22.2100 | + | 19.8531i | 1.08633 | + | 0.971048i | ||||
\(419\) | 40.0678i | 1.95744i | 0.205196 | + | 0.978721i | \(0.434217\pi\) | ||||
−0.205196 | + | 0.978721i | \(0.565783\pi\) | |||||||
\(420\) | −10.9251 | + | 16.7946i | −0.533092 | + | 0.819494i | ||||
\(421\) | 31.9415i | 1.55673i | 0.627810 | + | 0.778366i | \(0.283951\pi\) | ||||
−0.627810 | + | 0.778366i | \(0.716049\pi\) | |||||||
\(422\) | −3.91182 | + | 4.37622i | −0.190425 | + | 0.213031i | ||||
\(423\) | −0.552083 | + | 0.147930i | −0.0268432 | + | 0.00719262i | ||||
\(424\) | −12.8606 | − | 4.77741i | −0.624565 | − | 0.232012i | ||||
\(425\) | 19.1891 | − | 20.5575i | 0.930809 | − | 0.997183i | ||||
\(426\) | 2.89952 | − | 5.74182i | 0.140482 | − | 0.278192i | ||||
\(427\) | −14.7511 | − | 12.5740i | −0.713857 | − | 0.608497i | ||||
\(428\) | −24.1823 | − | 3.65115i | −1.16890 | − | 0.176485i | ||||
\(429\) | 10.5204 | + | 18.2219i | 0.507931 | + | 0.879762i | ||||
\(430\) | 32.5422 | − | 11.3279i | 1.56932 | − | 0.546279i | ||||
\(431\) | −7.25976 | − | 4.19142i | −0.349690 | − | 0.201894i | 0.314859 | − | 0.949139i | \(-0.398043\pi\) |
−0.664549 | + | 0.747245i | \(0.731376\pi\) | |||||||
\(432\) | −17.9606 | − | 11.2981i | −0.864130 | − | 0.543579i | ||||
\(433\) | −21.6628 | + | 21.6628i | −1.04105 | + | 1.04105i | −0.0419294 | + | 0.999121i | \(0.513350\pi\) |
−0.999121 | + | 0.0419294i | \(0.986650\pi\) | |||||||
\(434\) | 2.79243 | + | 3.60484i | 0.134041 | + | 0.173038i | ||||
\(435\) | −19.5461 | + | 11.7379i | −0.937164 | + | 0.562790i | ||||
\(436\) | −1.32221 | − | 0.577271i | −0.0633222 | − | 0.0276462i | ||||
\(437\) | −2.39719 | − | 8.94642i | −0.114673 | − | 0.427965i | ||||
\(438\) | 0.758037 | − | 3.63075i | 0.0362204 | − | 0.173484i | ||||
\(439\) | −19.5876 | − | 33.9267i | −0.934863 | − | 1.61923i | −0.774877 | − | 0.632112i | \(-0.782188\pi\) |
−0.159986 | − | 0.987119i | \(-0.551145\pi\) | |||||||
\(440\) | −24.2207 | − | 28.2518i | −1.15468 | − | 1.34685i | ||||
\(441\) | −0.331275 | + | 0.868022i | −0.0157750 | + | 0.0413344i | ||||
\(442\) | 15.9568 | − | 5.24849i | 0.758986 | − | 0.249645i | ||||
\(443\) | −15.1187 | − | 4.05106i | −0.718313 | − | 0.192471i | −0.118894 | − | 0.992907i | \(-0.537935\pi\) |
−0.599419 | + | 0.800435i | \(0.704602\pi\) | |||||||
\(444\) | 34.9496 | − | 3.92893i | 1.65864 | − | 0.186459i | ||||
\(445\) | 5.97301 | + | 5.77092i | 0.283148 | + | 0.273568i | ||||
\(446\) | 35.7087 | − | 2.00083i | 1.69086 | − | 0.0947420i | ||||
\(447\) | −2.08746 | + | 2.08746i | −0.0987335 | + | 0.0987335i | ||||
\(448\) | 16.4960 | − | 13.2620i | 0.779363 | − | 0.626573i | ||||
\(449\) | − | 3.18421i | − | 0.150272i | −0.997173 | − | 0.0751360i | \(-0.976061\pi\) | ||
0.997173 | − | 0.0751360i | \(-0.0239391\pi\) | |||||||
\(450\) | −0.323743 | − | 0.880916i | −0.0152614 | − | 0.0415268i | ||||
\(451\) | 7.18871 | − | 12.4512i | 0.338503 | − | 0.586305i | ||||
\(452\) | 6.59816 | + | 5.26459i | 0.310351 | + | 0.247625i | ||||
\(453\) | −6.85035 | + | 25.5659i | −0.321858 | + | 1.20119i | ||||
\(454\) | −1.64166 | + | 3.25093i | −0.0770469 | + | 0.152574i | ||||
\(455\) | −12.3241 | − | 2.05320i | −0.577761 | − | 0.0962555i | ||||
\(456\) | 2.86568 | + | 16.9050i | 0.134198 | + | 0.791650i | ||||
\(457\) | −1.45706 | + | 5.43783i | −0.0681585 | + | 0.254371i | −0.991595 | − | 0.129380i | \(-0.958701\pi\) |
0.923437 | + | 0.383751i | \(0.125368\pi\) | |||||||
\(458\) | −19.5437 | − | 4.08038i | −0.913215 | − | 0.190663i | ||||
\(459\) | −25.8380 | − | 14.9176i | −1.20602 | − | 0.696294i | ||||
\(460\) | 1.49015 | + | 11.4736i | 0.0694786 | + | 0.534960i | ||||
\(461\) | − | 39.2321i | − | 1.82722i | −0.406593 | − | 0.913610i | \(-0.633283\pi\) | ||
0.406593 | − | 0.913610i | \(-0.366717\pi\) | |||||||
\(462\) | 29.6790 | + | 22.5582i | 1.38079 | + | 1.04950i | ||||
\(463\) | 5.47000 | + | 5.47000i | 0.254213 | + | 0.254213i | 0.822695 | − | 0.568483i | \(-0.192469\pi\) |
−0.568483 | + | 0.822695i | \(0.692469\pi\) | |||||||
\(464\) | 23.4851 | − | 5.34783i | 1.09027 | − | 0.248267i | ||||
\(465\) | 4.61365 | − | 0.0793930i | 0.213953 | − | 0.00368176i | ||||
\(466\) | −0.461996 | + | 0.302403i | −0.0214016 | + | 0.0140086i | ||||
\(467\) | 4.58133 | − | 17.0978i | 0.211999 | − | 0.791191i | −0.775203 | − | 0.631713i | \(-0.782352\pi\) |
0.987202 | − | 0.159478i | \(-0.0509811\pi\) | |||||||
\(468\) | 0.0836934 | − | 0.554318i | 0.00386873 | − | 0.0256234i | ||||
\(469\) | 12.8531 | + | 18.6626i | 0.593499 | + | 0.861758i | ||||
\(470\) | −10.3074 | − | 8.89932i | −0.475444 | − | 0.410495i | ||||
\(471\) | −35.1547 | + | 20.2966i | −1.61984 | + | 0.935216i | ||||
\(472\) | 3.42146 | + | 7.46585i | 0.157486 | + | 0.343644i | ||||
\(473\) | −16.5937 | − | 61.9286i | −0.762979 | − | 2.84748i | ||||
\(474\) | −0.276862 | − | 4.94115i | −0.0127167 | − | 0.226955i | ||||
\(475\) | −8.41144 | + | 15.8008i | −0.385943 | + | 0.724990i | ||||
\(476\) | 22.4715 | − | 19.5132i | 1.02998 | − | 0.894386i | ||||
\(477\) | −0.455229 | + | 0.455229i | −0.0208435 | + | 0.0208435i | ||||
\(478\) | 8.23279 | − | 9.21016i | 0.376559 | − | 0.421263i | ||||
\(479\) | 7.99779 | − | 13.8526i | 0.365428 | − | 0.632940i | −0.623417 | − | 0.781890i | \(-0.714256\pi\) |
0.988845 | + | 0.148950i | \(0.0475892\pi\) | |||||||
\(480\) | −0.755376 | − | 21.4054i | −0.0344781 | − | 0.977020i | ||||
\(481\) | 10.9658 | + | 18.9933i | 0.499997 | + | 0.866020i | ||||
\(482\) | −2.43540 | − | 7.40424i | −0.110929 | − | 0.337254i | ||||
\(483\) | −3.87955 | − | 10.9219i | −0.176526 | − | 0.496964i | ||||
\(484\) | −38.0164 | + | 28.0426i | −1.72802 | + | 1.27466i | ||||
\(485\) | 4.16011 | − | 7.50067i | 0.188901 | − | 0.340588i | ||||
\(486\) | −1.63091 | + | 1.06753i | −0.0739797 | + | 0.0484239i | ||||
\(487\) | 6.33627 | + | 23.6473i | 0.287124 | + | 1.07156i | 0.947274 | + | 0.320426i | \(0.103826\pi\) |
−0.660150 | + | 0.751134i | \(0.729507\pi\) | |||||||
\(488\) | 20.6300 | + | 1.94244i | 0.933878 | + | 0.0879301i | ||||
\(489\) | − | 14.3202i | − | 0.647582i | ||||||
\(490\) | −21.5419 | + | 5.09382i | −0.973163 | + | 0.230115i | ||||
\(491\) | −26.6903 | −1.20452 | −0.602259 | − | 0.798301i | \(-0.705732\pi\) | ||||
−0.602259 | + | 0.798301i | \(0.705732\pi\) | |||||||
\(492\) | 7.70399 | − | 3.02134i | 0.347323 | − | 0.136213i | ||||
\(493\) | 32.7134 | − | 8.76554i | 1.47334 | − | 0.394780i | ||||
\(494\) | −8.94615 | + | 5.85577i | −0.402506 | + | 0.263463i | ||||
\(495\) | −1.67873 | + | 0.480920i | −0.0754533 | + | 0.0216157i | ||||
\(496\) | −4.65742 | − | 1.43920i | −0.209125 | − | 0.0646222i | ||||
\(497\) | 6.69683 | − | 2.37877i | 0.300394 | − | 0.106703i | ||||
\(498\) | 2.25246 | − | 0.740876i | 0.100935 | − | 0.0331995i | ||||
\(499\) | 14.5995 | − | 8.42903i | 0.653563 | − | 0.377335i | −0.136257 | − | 0.990674i | \(-0.543507\pi\) |
0.789820 | + | 0.613339i | \(0.210174\pi\) | |||||||
\(500\) | 13.0257 | − | 18.1750i | 0.582525 | − | 0.812813i | ||||
\(501\) | −2.84949 | − | 1.64515i | −0.127306 | − | 0.0735000i | ||||
\(502\) | −4.88423 | + | 5.46407i | −0.217994 | + | 0.243873i | ||||
\(503\) | 11.1121 | + | 11.1121i | 0.495465 | + | 0.495465i | 0.910023 | − | 0.414558i | \(-0.136064\pi\) |
−0.414558 | + | 0.910023i | \(0.636064\pi\) | |||||||
\(504\) | −0.243255 | − | 0.962989i | −0.0108355 | − | 0.0428949i | ||||
\(505\) | −1.76917 | + | 7.08829i | −0.0787269 | + | 0.315425i | ||||
\(506\) | 21.4939 | − | 1.20435i | 0.955521 | − | 0.0535397i | ||||
\(507\) | 13.9682 | − | 3.74276i | 0.620348 | − | 0.166222i | ||||
\(508\) | −13.7223 | − | 10.9488i | −0.608828 | − | 0.485776i | ||||
\(509\) | 9.00348 | + | 15.5945i | 0.399072 | + | 0.691213i | 0.993612 | − | 0.112853i | \(-0.0359990\pi\) |
−0.594540 | + | 0.804066i | \(0.702666\pi\) | |||||||
\(510\) | −2.20197 | − | 30.0360i | −0.0975048 | − | 1.33002i | ||||
\(511\) | 3.37493 | − | 2.32434i | 0.149298 | − | 0.102823i | ||||
\(512\) | −6.28881 | + | 21.7359i | −0.277929 | + | 0.960602i | ||||
\(513\) | 18.3438 | + | 4.91520i | 0.809898 | + | 0.217012i | ||||
\(514\) | 15.8940 | + | 24.2820i | 0.701054 | + | 1.07104i | ||||
\(515\) | 37.7183 | − | 0.649066i | 1.66207 | − | 0.0286013i | ||||
\(516\) | 14.7653 | − | 33.8191i | 0.650006 | − | 1.48880i | ||||
\(517\) | −17.9164 | + | 17.9164i | −0.787963 | + | 0.787963i | ||||
\(518\) | 30.9354 | + | 23.5131i | 1.35922 | + | 1.03311i | ||||
\(519\) | −25.7650 | −1.13096 | ||||||||
\(520\) | 12.0447 | − | 5.77265i | 0.528194 | − | 0.253147i | ||||
\(521\) | −5.35164 | + | 9.26932i | −0.234460 | + | 0.406096i | −0.959116 | − | 0.283015i | \(-0.908665\pi\) |
0.724656 | + | 0.689111i | \(0.241999\pi\) | |||||||
\(522\) | 0.231001 | − | 1.10642i | 0.0101106 | − | 0.0484267i | ||||
\(523\) | −19.0949 | − | 5.11646i | −0.834961 | − | 0.223727i | −0.184084 | − | 0.982911i | \(-0.558932\pi\) |
−0.650877 | + | 0.759183i | \(0.725599\pi\) | |||||||
\(524\) | 16.0979 | − | 11.8745i | 0.703241 | − | 0.518741i | ||||
\(525\) | −8.92234 | + | 20.5466i | −0.389403 | + | 0.896729i | ||||
\(526\) | −6.95718 | + | 13.7771i | −0.303347 | + | 0.600709i | ||||
\(527\) | −6.62072 | − | 1.77402i | −0.288403 | − | 0.0772774i | ||||
\(528\) | −39.8241 | − | 1.51028i | −1.73312 | − | 0.0657267i | ||||
\(529\) | 14.1221 | + | 8.15340i | 0.614004 | + | 0.354495i | ||||
\(530\) | −15.0666 | − | 2.87603i | −0.654449 | − | 0.124927i | ||||
\(531\) | 0.385381 | 0.0167241 | ||||||||
\(532\) | −10.6016 | + | 15.6995i | −0.459637 | + | 0.680659i | ||||
\(533\) | 3.64894 | + | 3.64894i | 0.158053 | + | 0.158053i | ||||
\(534\) | 8.88069 | − | 0.497602i | 0.384305 | − | 0.0215334i | ||||
\(535\) | −27.3390 | + | 0.470458i | −1.18197 | + | 0.0203397i | ||||
\(536\) | −22.7088 | − | 8.43578i | −0.980869 | − | 0.364370i | ||||
\(537\) | −4.75540 | + | 17.7474i | −0.205211 | + | 0.765856i | ||||
\(538\) | 1.54154 | + | 4.68668i | 0.0664605 | + | 0.202057i | ||||
\(539\) | 6.52186 | + | 40.6675i | 0.280916 | + | 1.75168i | ||||
\(540\) | −21.9014 | − | 9.11671i | −0.942488 | − | 0.392321i | ||||
\(541\) | −30.3728 | + | 17.5358i | −1.30583 | + | 0.753921i | −0.981397 | − | 0.191988i | \(-0.938506\pi\) |
−0.324432 | + | 0.945909i | \(0.605173\pi\) | |||||||
\(542\) | −5.60625 | + | 26.8521i | −0.240809 | + | 1.15340i | ||||
\(543\) | −4.29027 | + | 1.14957i | −0.184113 | + | 0.0493330i | ||||
\(544\) | −7.67804 | + | 30.8757i | −0.329193 | + | 1.32379i | ||||
\(545\) | −1.56501 | − | 0.390611i | −0.0670377 | − | 0.0167320i | ||||
\(546\) | −10.5778 | + | 8.19391i | −0.452688 | + | 0.350667i | ||||
\(547\) | 14.6808 | + | 14.6808i | 0.627707 | + | 0.627707i | 0.947490 | − | 0.319784i | \(-0.103610\pi\) |
−0.319784 | + | 0.947490i | \(0.603610\pi\) | |||||||
\(548\) | −0.428779 | − | 1.09332i | −0.0183165 | − | 0.0467045i | ||||
\(549\) | 0.486184 | − | 0.842096i | 0.0207498 | − | 0.0359398i | ||||
\(550\) | −31.9548 | − | 26.6438i | −1.36256 | − | 1.13610i | ||||
\(551\) | −18.6694 | + | 10.7788i | −0.795341 | + | 0.459191i | ||||
\(552\) | 10.1027 | + | 7.17399i | 0.429998 | + | 0.305345i | ||||
\(553\) | 3.54699 | − | 4.16114i | 0.150833 | − | 0.176950i | ||||
\(554\) | 23.7883 | + | 12.0127i | 1.01067 | + | 0.510370i | ||||
\(555\) | 37.8004 | − | 10.8290i | 1.60454 | − | 0.459666i | ||||
\(556\) | 25.8116 | − | 2.90166i | 1.09466 | − | 0.123058i | ||||
\(557\) | 6.45647 | + | 24.0959i | 0.273569 | + | 1.02098i | 0.956794 | + | 0.290767i | \(0.0939104\pi\) |
−0.683224 | + | 0.730208i | \(0.739423\pi\) | |||||||
\(558\) | −0.152449 | + | 0.170547i | −0.00645370 | + | 0.00721985i | ||||
\(559\) | 23.0117 | 0.973289 | ||||||||
\(560\) | 15.7208 | − | 17.6878i | 0.664324 | − | 0.747445i | ||||
\(561\) | −56.0364 | −2.36586 | ||||||||
\(562\) | −15.3539 | + | 17.1766i | −0.647664 | + | 0.724552i | ||||
\(563\) | −5.16693 | − | 19.2833i | −0.217760 | − | 0.812693i | −0.985177 | − | 0.171543i | \(-0.945125\pi\) |
0.767416 | − | 0.641149i | \(-0.221542\pi\) | |||||||
\(564\) | −14.4924 | + | 1.62919i | −0.610239 | + | 0.0686011i | ||||
\(565\) | 8.25300 | + | 4.57738i | 0.347206 | + | 0.192572i | ||||
\(566\) | 7.32422 | + | 3.69860i | 0.307860 | + | 0.155464i | ||||
\(567\) | 22.3354 | + | 4.11725i | 0.937997 | + | 0.172908i | ||||
\(568\) | −4.39878 | + | 6.19452i | −0.184569 | + | 0.259916i | ||||
\(569\) | −31.1711 | + | 17.9967i | −1.30676 | + | 0.754460i | −0.981554 | − | 0.191183i | \(-0.938768\pi\) |
−0.325208 | + | 0.945642i | \(0.605434\pi\) | |||||||
\(570\) | 6.30214 | + | 18.1045i | 0.263968 | + | 0.758314i | ||||
\(571\) | 14.1980 | − | 24.5916i | 0.594167 | − | 1.02913i | −0.399496 | − | 0.916735i | \(-0.630815\pi\) |
0.993664 | − | 0.112393i | \(-0.0358517\pi\) | |||||||
\(572\) | −9.07355 | − | 23.1362i | −0.379384 | − | 0.967374i | ||||
\(573\) | 0.0276066 | + | 0.0276066i | 0.00115328 | + | 0.00115328i | ||||
\(574\) | 8.46283 | + | 3.46007i | 0.353232 | + | 0.144421i | ||||
\(575\) | 3.77590 | + | 12.3723i | 0.157466 | + | 0.515959i | ||||
\(576\) | 0.804301 | + | 0.693219i | 0.0335125 | + | 0.0288841i | ||||
\(577\) | −19.2098 | + | 5.14724i | −0.799713 | + | 0.214283i | −0.635458 | − | 0.772135i | \(-0.719189\pi\) |
−0.164255 | + | 0.986418i | \(0.552522\pi\) | |||||||
\(578\) | −4.22946 | + | 20.2577i | −0.175922 | + | 0.842610i | ||||
\(579\) | −11.0856 | + | 6.40025i | −0.460700 | + | 0.265985i | ||||
\(580\) | 24.8974 | − | 10.2619i | 1.03381 | − | 0.426104i | ||||
\(581\) | 2.36565 | + | 1.12555i | 0.0981438 | + | 0.0466956i | ||||
\(582\) | −2.87004 | − | 8.72565i | −0.118967 | − | 0.361690i | ||||
\(583\) | −7.38663 | + | 27.5673i | −0.305923 | + | 1.14172i | ||||
\(584\) | −1.52552 | + | 4.10664i | −0.0631265 | + | 0.169934i | ||||
\(585\) | −0.0107840 | − | 0.626678i | −0.000445865 | − | 0.0259100i | ||||
\(586\) | 22.9718 | − | 1.28716i | 0.948957 | − | 0.0531719i | ||||
\(587\) | −23.6343 | − | 23.6343i | −0.975491 | − | 0.975491i | 0.0242162 | − | 0.999707i | \(-0.492291\pi\) |
−0.999707 | + | 0.0242162i | \(0.992291\pi\) | |||||||
\(588\) | −11.6645 | + | 20.6380i | −0.481035 | + | 0.851095i | ||||
\(589\) | 4.36293 | 0.179771 | ||||||||
\(590\) | 5.16004 | + | 7.59478i | 0.212435 | + | 0.312672i | ||||
\(591\) | −18.7828 | − | 10.8443i | −0.772621 | − | 0.446073i | ||||
\(592\) | −41.5100 | − | 1.57422i | −1.70605 | − | 0.0647000i | ||||
\(593\) | 26.2174 | + | 7.02493i | 1.07662 | + | 0.288479i | 0.753210 | − | 0.657780i | \(-0.228504\pi\) |
0.323410 | + | 0.946259i | \(0.395171\pi\) | |||||||
\(594\) | −19.8971 | + | 39.4015i | −0.816387 | + | 1.61666i | ||||
\(595\) | 21.1464 | − | 25.6904i | 0.866917 | − | 1.05320i | ||||
\(596\) | 2.80601 | − | 2.06983i | 0.114939 | − | 0.0847836i | ||||
\(597\) | −0.971519 | − | 0.260318i | −0.0397616 | − | 0.0106541i | ||||
\(598\) | −1.57916 | + | 7.56366i | −0.0645767 | + | 0.309301i | ||||
\(599\) | −13.9732 | + | 24.2023i | −0.570929 | + | 0.988878i | 0.425542 | + | 0.904939i | \(0.360083\pi\) |
−0.996471 | + | 0.0839390i | \(0.973250\pi\) | |||||||
\(600\) | −4.81227 | − | 23.4584i | −0.196460 | − | 0.957685i | ||||
\(601\) | 5.36533 | 0.218856 | 0.109428 | − | 0.993995i | \(-0.465098\pi\) | ||||
0.109428 | + | 0.993995i | \(0.465098\pi\) | |||||||
\(602\) | 37.5952 | − | 15.7747i | 1.53227 | − | 0.642927i | ||||
\(603\) | −0.803827 | + | 0.803827i | −0.0327344 | + | 0.0327344i | ||||
\(604\) | 12.5085 | − | 28.6501i | 0.508965 | − | 1.16576i | ||||
\(605\) | −36.6985 | + | 37.9837i | −1.49201 | + | 1.54426i | ||||
\(606\) | 4.28494 | + | 6.54631i | 0.174064 | + | 0.265926i | ||||
\(607\) | −28.1026 | − | 7.53008i | −1.14065 | − | 0.305636i | −0.361438 | − | 0.932396i | \(-0.617714\pi\) |
−0.779213 | + | 0.626760i | \(0.784381\pi\) | |||||||
\(608\) | −0.365885 | − | 20.2485i | −0.0148386 | − | 0.821184i | ||||
\(609\) | −22.2177 | + | 15.3015i | −0.900305 | + | 0.620047i | ||||
\(610\) | 23.1051 | − | 1.69386i | 0.935498 | − | 0.0685822i | ||||
\(611\) | −4.54712 | − | 7.87585i | −0.183957 | − | 0.318623i | ||||
\(612\) | 1.16704 | + | 0.931168i | 0.0471749 | + | 0.0376402i | ||||
\(613\) | −13.2603 | + | 3.55308i | −0.535578 | + | 0.143508i | −0.516463 | − | 0.856310i | \(-0.672752\pi\) |
−0.0191152 | + | 0.999817i | \(0.506085\pi\) | |||||||
\(614\) | 24.6289 | − | 1.38001i | 0.993943 | − | 0.0556926i | ||||
\(615\) | 7.93171 | − | 4.76319i | 0.319837 | − | 0.192070i | ||||
\(616\) | −30.6840 | − | 31.5788i | −1.23629 | − | 1.27235i | ||||
\(617\) | −19.3575 | − | 19.3575i | −0.779304 | − | 0.779304i | 0.200409 | − | 0.979712i | \(-0.435773\pi\) |
−0.979712 | + | 0.200409i | \(0.935773\pi\) | |||||||
\(618\) | 26.9242 | − | 30.1205i | 1.08305 | − | 1.21162i | ||||
\(619\) | 3.77825 | + | 2.18138i | 0.151861 | + | 0.0876769i | 0.574005 | − | 0.818852i | \(-0.305389\pi\) |
−0.422144 | + | 0.906529i | \(0.638722\pi\) | |||||||
\(620\) | −5.40223 | − | 0.720816i | −0.216959 | − | 0.0289487i | ||||
\(621\) | 11.8852 | − | 6.86190i | 0.476935 | − | 0.275358i | ||||
\(622\) | −26.2292 | + | 8.62730i | −1.05170 | + | 0.345923i | ||||
\(623\) | 7.47878 | + | 6.37497i | 0.299631 | + | 0.255408i | ||||
\(624\) | 4.22311 | − | 13.6664i | 0.169060 | − | 0.547095i | ||||
\(625\) | 10.9814 | − | 22.4590i | 0.439258 | − | 0.898361i | ||||
\(626\) | 37.3515 | − | 24.4487i | 1.49286 | − | 0.977165i | ||||
\(627\) | 34.4533 | − | 9.23173i | 1.37593 | − | 0.368680i | ||||
\(628\) | 44.6356 | − | 17.5052i | 1.78116 | − | 0.698533i | ||||
\(629\) | −58.4086 | −2.32890 | ||||||||
\(630\) | −0.447211 | − | 1.01644i | −0.0178173 | − | 0.0404960i | ||||
\(631\) | 5.99910i | 0.238820i | 0.992845 | + | 0.119410i | \(0.0381003\pi\) | ||||
−0.992845 | + | 0.119410i | \(0.961900\pi\) | |||||||
\(632\) | −0.547943 | + | 5.81953i | −0.0217960 | + | 0.231488i | ||||
\(633\) | 1.81900 | + | 6.78861i | 0.0722988 | + | 0.269823i | ||||
\(634\) | −13.2268 | + | 8.65768i | −0.525302 | + | 0.343840i | ||||
\(635\) | −17.1639 | − | 9.51963i | −0.681128 | − | 0.377775i | ||||
\(636\) | −13.2194 | + | 9.75116i | −0.524181 | + | 0.386659i | ||||
\(637\) | −14.7050 | − | 1.51677i | −0.582633 | − | 0.0600967i | ||||
\(638\) | −15.6557 | − | 47.5974i | −0.619815 | − | 1.88440i | ||||
\(639\) | 0.178259 | + | 0.308754i | 0.00705183 | + | 0.0122141i | ||||
\(640\) | −2.89229 | + | 25.1323i | −0.114328 | + | 0.993443i | ||||
\(641\) | −17.7597 | + | 30.7607i | −0.701466 | + | 1.21498i | 0.266485 | + | 0.963839i | \(0.414138\pi\) |
−0.967952 | + | 0.251137i | \(0.919196\pi\) | |||||||
\(642\) | −19.5152 | + | 21.8320i | −0.770205 | + | 0.861640i | ||||
\(643\) | 16.7157 | − | 16.7157i | 0.659204 | − | 0.659204i | −0.295988 | − | 0.955192i | \(-0.595649\pi\) |
0.955192 | + | 0.295988i | \(0.0956488\pi\) | |||||||
\(644\) | 2.60499 | + | 13.4396i | 0.102651 | + | 0.529596i | ||||
\(645\) | 9.99096 | − | 40.0295i | 0.393394 | − | 1.57616i | ||||
\(646\) | −1.59305 | − | 28.4311i | −0.0626778 | − | 1.11861i | ||||
\(647\) | −4.30781 | − | 16.0770i | −0.169358 | − | 0.632051i | −0.997444 | − | 0.0714508i | \(-0.977237\pi\) |
0.828087 | − | 0.560600i | \(-0.189430\pi\) | |||||||
\(648\) | −22.0723 | + | 10.1153i | −0.867083 | + | 0.397368i | ||||
\(649\) | 14.7954 | − | 8.54211i | 0.580769 | − | 0.335307i | ||||
\(650\) | 12.2057 | − | 8.60339i | 0.478746 | − | 0.337453i | ||||
\(651\) | 5.44251 | − | 0.433638i | 0.213309 | − | 0.0169956i | ||||
\(652\) | −2.52512 | + | 16.7244i | −0.0988914 | + | 0.654978i | ||||
\(653\) | 3.66413 | − | 13.6747i | 0.143388 | − | 0.535133i | −0.856433 | − | 0.516257i | \(-0.827325\pi\) |
0.999822 | − | 0.0188753i | \(-0.00600854\pi\) | |||||||
\(654\) | −1.44535 | + | 0.946064i | −0.0565176 | + | 0.0369940i | ||||
\(655\) | 15.5399 | − | 16.0841i | 0.607193 | − | 0.628456i | ||||
\(656\) | −9.53015 | + | 2.17012i | −0.372090 | + | 0.0847291i | ||||
\(657\) | 0.145364 | + | 0.145364i | 0.00567118 | + | 0.00567118i | ||||
\(658\) | −12.8278 | − | 9.75006i | −0.500080 | − | 0.380097i | ||||
\(659\) | − | 12.6643i | − | 0.493332i | −0.969101 | − | 0.246666i | \(-0.920665\pi\) | ||
0.969101 | − | 0.246666i | \(-0.0793350\pi\) | |||||||
\(660\) | −44.1857 | + | 5.73867i | −1.71992 | + | 0.223378i | ||||
\(661\) | 4.18665 | + | 2.41717i | 0.162842 | + | 0.0940169i | 0.579206 | − | 0.815181i | \(-0.303363\pi\) |
−0.416364 | + | 0.909198i | \(0.636696\pi\) | |||||||
\(662\) | −2.05266 | − | 0.428559i | −0.0797788 | − | 0.0166564i | ||||
\(663\) | 5.20556 | − | 19.4274i | 0.202167 | − | 0.754498i | ||||
\(664\) | −2.76125 | + | 0.468079i | −0.107157 | + | 0.0181650i | ||||
\(665\) | −8.76922 | + | 19.2791i | −0.340056 | + | 0.747613i | ||||
\(666\) | −0.878683 | + | 1.74003i | −0.0340483 | + | 0.0674247i | ||||
\(667\) | −4.03203 | + | 15.0477i | −0.156121 | + | 0.582651i | ||||
\(668\) | 3.03779 | + | 2.42381i | 0.117536 | + | 0.0937801i | ||||
\(669\) | 21.4114 | − | 37.0856i | 0.827811 | − | 1.43381i | ||||
\(670\) | −26.6040 | − | 5.07840i | −1.02780 | − | 0.196196i | ||||
\(671\) | − | 43.1058i | − | 1.66408i | ||||||
\(672\) | −2.46895 | − | 25.2225i | −0.0952417 | − | 0.972978i | ||||
\(673\) | 8.02068 | − | 8.02068i | 0.309175 | − | 0.309175i | −0.535415 | − | 0.844589i | \(-0.679845\pi\) |
0.844589 | + | 0.535415i | \(0.179845\pi\) | |||||||
\(674\) | −37.2085 | + | 2.08486i | −1.43322 | + | 0.0803060i | ||||
\(675\) | −25.8405 | − | 5.97919i | −0.994603 | − | 0.230139i | ||||
\(676\) | −16.9732 | + | 1.90807i | −0.652815 | + | 0.0733875i | ||||
\(677\) | 35.5218 | + | 9.51804i | 1.36521 | + | 0.365808i | 0.865728 | − | 0.500514i | \(-0.166856\pi\) |
0.499485 | + | 0.866322i | \(0.333522\pi\) | |||||||
\(678\) | 9.60086 | − | 3.15791i | 0.368719 | − | 0.121279i | ||||
\(679\) | 4.36019 | − | 9.16416i | 0.167329 | − | 0.351688i | ||||
\(680\) | −2.72468 | + | 35.4670i | −0.104487 | + | 1.36010i | ||||
\(681\) | 2.18032 | + | 3.77642i | 0.0835499 | + | 0.144713i | ||||
\(682\) | −2.07252 | + | 9.92668i | −0.0793608 | + | 0.380112i | ||||
\(683\) | 6.54404 | + | 24.4227i | 0.250401 | + | 0.934508i | 0.970592 | + | 0.240732i | \(0.0773875\pi\) |
−0.720191 | + | 0.693776i | \(0.755946\pi\) | |||||||
\(684\) | −0.870946 | − | 0.380252i | −0.0333015 | − | 0.0145393i | ||||
\(685\) | −0.675976 | − | 1.12564i | −0.0258277 | − | 0.0430086i | ||||
\(686\) | −25.0640 | + | 7.60235i | −0.956948 | + | 0.290259i | ||||
\(687\) | −16.9034 | + | 16.9034i | −0.644907 | + | 0.644907i | ||||
\(688\) | −23.2076 | + | 36.8933i | −0.884782 | + | 1.40654i | ||||
\(689\) | −8.87117 | − | 5.12178i | −0.337965 | − | 0.195124i | ||||
\(690\) | 12.4716 | + | 6.03091i | 0.474786 | + | 0.229593i | ||||
\(691\) | 0.367720 | + | 0.636909i | 0.0139887 | + | 0.0242292i | 0.872935 | − | 0.487836i | \(-0.162214\pi\) |
−0.858946 | + | 0.512066i | \(0.828880\pi\) | |||||||
\(692\) | 30.0907 | + | 4.54322i | 1.14387 | + | 0.172707i | ||||
\(693\) | −1.94702 | + | 0.691597i | −0.0739610 | + | 0.0262716i | ||||
\(694\) | −3.98793 | + | 7.89716i | −0.151380 | + | 0.299772i | ||||
\(695\) | 27.9171 | − | 7.99764i | 1.05896 | − | 0.303368i | ||||
\(696\) | 10.0427 | − | 27.0346i | 0.380669 | − | 1.02474i | ||||
\(697\) | −13.2749 | + | 3.55701i | −0.502824 | + | 0.134731i | ||||
\(698\) | −24.4983 | + | 27.4067i | −0.927276 | + | 1.03736i | ||||
\(699\) | 0.661135i | 0.0250064i | ||||||||
\(700\) | 14.0433 | − | 22.4229i | 0.530788 | − | 0.847505i | ||||
\(701\) | 17.9127i | 0.676552i | 0.941047 | + | 0.338276i | \(0.109844\pi\) | ||||
−0.941047 | + | 0.338276i | \(0.890156\pi\) | |||||||
\(702\) | −11.8119 | − | 10.5584i | −0.445810 | − | 0.398501i | ||||
\(703\) | 35.9118 | − | 9.62253i | 1.35444 | − | 0.362921i | ||||
\(704\) | 46.2438 | + | 8.78614i | 1.74288 | + | 0.331140i | ||||
\(705\) | −15.6745 | + | 4.49041i | −0.590336 | + | 0.169118i | ||||
\(706\) | −16.9353 | − | 8.55200i | −0.637367 | − | 0.321859i | ||||
\(707\) | −1.56706 | + | 8.50103i | −0.0589354 | + | 0.319714i | ||||
\(708\) | 9.72302 | + | 1.46802i | 0.365413 | + | 0.0551717i | ||||
\(709\) | −15.5470 | − | 26.9282i | −0.583880 | − | 1.01131i | −0.995014 | − | 0.0997345i | \(-0.968201\pi\) |
0.411134 | − | 0.911575i | \(-0.365133\pi\) | |||||||
\(710\) | −3.69789 | + | 7.64704i | −0.138779 | + | 0.286988i | ||||
\(711\) | 0.237547 | + | 0.137148i | 0.00890870 | + | 0.00514344i | ||||
\(712\) | −10.4594 | − | 0.984812i | −0.391982 | − | 0.0369074i | ||||
\(713\) | 2.22942 | − | 2.22942i | 0.0834925 | − | 0.0834925i | ||||
\(714\) | −4.81306 | − | 35.3079i | −0.180124 | − | 1.32137i | ||||
\(715\) | −14.3046 | − | 23.8201i | −0.534961 | − | 0.890822i | ||||
\(716\) | 8.68321 | − | 19.8884i | 0.324507 | − | 0.743265i | ||||
\(717\) | −3.82826 | − | 14.2873i | −0.142969 | − | 0.533567i | ||||
\(718\) | 11.1008 | + | 2.31765i | 0.414278 | + | 0.0864940i | ||||
\(719\) | 18.0789 | + | 31.3137i | 0.674231 | + | 1.16780i | 0.976693 | + | 0.214641i | \(0.0688581\pi\) |
−0.302462 | + | 0.953161i | \(0.597809\pi\) | |||||||
\(720\) | 1.01559 | + | 0.614725i | 0.0378489 | + | 0.0229094i | ||||
\(721\) | 44.4945 | − | 3.54514i | 1.65706 | − | 0.132028i | ||||
\(722\) | −2.73223 | − | 8.30670i | −0.101683 | − | 0.309143i | ||||
\(723\) | −9.01468 | − | 2.41548i | −0.335260 | − | 0.0898326i | ||||
\(724\) | 5.21326 | − | 0.586058i | 0.193749 | − | 0.0217807i | ||||
\(725\) | 25.5408 | − | 15.9422i | 0.948562 | − | 0.592077i | ||||
\(726\) | 3.16436 | + | 56.4742i | 0.117440 | + | 2.09596i | ||||
\(727\) | −24.4719 | + | 24.4719i | −0.907613 | + | 0.907613i | −0.996079 | − | 0.0884663i | \(-0.971803\pi\) |
0.0884663 | + | 0.996079i | \(0.471803\pi\) | |||||||
\(728\) | 13.7985 | − | 7.70435i | 0.511408 | − | 0.285542i | ||||
\(729\) | 28.0865i | 1.04024i | ||||||||
\(730\) | −0.918374 | + | 4.81105i | −0.0339906 | + | 0.178065i | ||||
\(731\) | −30.6426 | + | 53.0745i | −1.13336 | + | 1.96303i | ||||
\(732\) | 15.4740 | − | 19.3937i | 0.571936 | − | 0.716814i | ||||
\(733\) | 4.68477 | − | 17.4838i | 0.173036 | − | 0.645779i | −0.823842 | − | 0.566820i | \(-0.808174\pi\) |
0.996878 | − | 0.0789595i | \(-0.0251598\pi\) | |||||||
\(734\) | 13.8254 | + | 6.98160i | 0.510306 | + | 0.257695i | ||||
\(735\) | −9.02293 | + | 24.9212i | −0.332816 | + | 0.919234i | ||||
\(736\) | −10.5338 | − | 10.1598i | −0.388280 | − | 0.374497i | ||||
\(737\) | −13.0430 | + | 48.6773i | −0.480446 | + | 1.79305i | ||||
\(738\) | −0.0937391 | + | 0.448979i | −0.00345058 | + | 0.0165272i | ||||
\(739\) | −8.96021 | − | 5.17318i | −0.329607 | − | 0.190299i | 0.326060 | − | 0.945349i | \(-0.394279\pi\) |
−0.655666 | + | 0.755051i | \(0.727612\pi\) | |||||||
\(740\) | −46.0562 | + | 5.98161i | −1.69306 | + | 0.219888i | ||||
\(741\) | 12.8023i | 0.470304i | ||||||||
\(742\) | −18.0043 | − | 2.28644i | −0.660958 | − | 0.0839377i | ||||
\(743\) | −30.8558 | − | 30.8558i | −1.13199 | − | 1.13199i | −0.989846 | − | 0.142142i | \(-0.954601\pi\) |
−0.142142 | − | 0.989846i | \(-0.545399\pi\) | |||||||
\(744\) | −4.49590 | + | 3.72213i | −0.164828 | + | 0.136460i | ||||
\(745\) | 2.70873 | − | 2.80359i | 0.0992403 | − | 0.102716i | ||||
\(746\) | 12.8450 | + | 19.6240i | 0.470290 | + | 0.718486i | ||||
\(747\) | −0.0340149 | + | 0.126945i | −0.00124454 | + | 0.00464468i | ||||
\(748\) | 65.4442 | + | 9.88106i | 2.39288 | + | 0.361287i | ||||
\(749\) | −32.2506 | + | 2.56960i | −1.17841 | + | 0.0938911i | ||||
\(750\) | −9.66653 | − | 24.9675i | −0.352972 | − | 0.911684i | ||||
\(751\) | 15.7518 | − | 9.09428i | 0.574790 | − | 0.331855i | −0.184270 | − | 0.982876i | \(-0.558992\pi\) |
0.759060 | + | 0.651020i | \(0.225659\pi\) | |||||||
\(752\) | 17.2127 | + | 0.652772i | 0.627684 | + | 0.0238042i | ||||
\(753\) | 2.27117 | + | 8.47614i | 0.0827662 | + | 0.308888i | ||||
\(754\) | 17.9560 | − | 1.00611i | 0.653919 | − | 0.0366404i | ||||
\(755\) | 8.46393 | − | 33.9113i | 0.308034 | − | 1.23416i | ||||
\(756\) | −26.5355 | − | 9.15266i | −0.965085 | − | 0.332879i | ||||
\(757\) | 31.7850 | − | 31.7850i | 1.15525 | − | 1.15525i | 0.169759 | − | 0.985486i | \(-0.445701\pi\) |
0.985486 | − | 0.169759i | \(-0.0542991\pi\) | |||||||
\(758\) | 9.93515 | + | 8.88085i | 0.360861 | + | 0.322567i | ||||
\(759\) | 12.8880 | − | 22.3227i | 0.467805 | − | 0.810262i | ||||
\(760\) | −4.16777 | − | 22.2553i | −0.151181 | − | 0.807284i | ||||
\(761\) | −5.69291 | − | 9.86041i | −0.206368 | − | 0.357440i | 0.744200 | − | 0.667957i | \(-0.232831\pi\) |
−0.950568 | + | 0.310517i | \(0.899498\pi\) | |||||||
\(762\) | −19.9670 | + | 6.56755i | −0.723329 | + | 0.237917i | ||||
\(763\) | −1.87693 | − | 0.345989i | −0.0679494 | − | 0.0125256i | ||||
\(764\) | −0.0273734 | − | 0.0371093i | −0.000990335 | − | 0.00134257i | ||||
\(765\) | 1.45974 | + | 0.809619i | 0.0527771 | + | 0.0292718i | ||||
\(766\) | 1.58959 | + | 2.42850i | 0.0574343 | + | 0.0877453i | ||||
\(767\) | 1.58706 | + | 5.92297i | 0.0573052 | + | 0.213866i | ||||
\(768\) | 17.6515 | + | 20.5535i | 0.636945 | + | 0.741659i | ||||
\(769\) | 5.34692i | 0.192815i | 0.995342 | + | 0.0964074i | \(0.0307352\pi\) | ||||
−0.995342 | + | 0.0964074i | \(0.969265\pi\) | |||||||
\(770\) | −39.6989 | − | 29.1102i | −1.43065 | − | 1.04906i | ||||
\(771\) | 34.7485 | 1.25144 | ||||||||
\(772\) | 14.0753 | − | 5.52003i | 0.506580 | − | 0.198670i | ||||
\(773\) | 13.3424 | − | 3.57509i | 0.479893 | − | 0.128587i | −0.0107597 | − | 0.999942i | \(-0.503425\pi\) |
0.490653 | + | 0.871355i | \(0.336758\pi\) | |||||||
\(774\) | 1.12014 | + | 1.71130i | 0.0402627 | + | 0.0615113i | ||||
\(775\) | −6.08979 | + | 0.209652i | −0.218752 | + | 0.00753091i | ||||
\(776\) | 1.81326 | + | 10.6967i | 0.0650923 | + | 0.383988i | ||||
\(777\) | 43.8416 | − | 15.5729i | 1.57281 | − | 0.558675i | ||||
\(778\) | 14.0124 | + | 42.6014i | 0.502370 | + | 1.52733i | ||||
\(779\) | 7.57593 | − | 4.37396i | 0.271436 | − | 0.156714i | ||||
\(780\) | 2.11511 | − | 15.8519i | 0.0757333 | − | 0.567590i | ||||
\(781\) | 13.6873 | + | 7.90237i | 0.489770 | + | 0.282769i | ||||
\(782\) | −15.3421 | − | 13.7140i | −0.548633 | − | 0.490413i | ||||
\(783\) | −22.5867 | − | 22.5867i | −0.807182 | − | 0.807182i | ||||
\(784\) | 17.2620 | − | 22.0460i | 0.616498 | − | 0.787356i | ||||
\(785\) | 45.9550 | − | 27.5971i | 1.64020 | − | 0.984984i | ||||
\(786\) | −1.33994 | − | 23.9138i | −0.0477940 | − | 0.852978i | ||||
\(787\) | 5.05164 | − | 1.35358i | 0.180072 | − | 0.0482500i | −0.167656 | − | 0.985845i | \(-0.553620\pi\) |
0.347728 | + | 0.937595i | \(0.386953\pi\) | |||||||
\(788\) | 20.0240 | + | 15.9769i | 0.713325 | + | 0.569153i | ||||
\(789\) | 9.23995 | + | 16.0041i | 0.328951 | + | 0.569760i | ||||
\(790\) | 0.477820 | + | 6.51772i | 0.0170001 | + | 0.231890i | ||||
\(791\) | 10.0833 | + | 4.79753i | 0.358523 | + | 0.170581i | ||||
\(792\) | 1.27889 | − | 1.80097i | 0.0454433 | − | 0.0639949i | ||||
\(793\) | 14.9445 | + | 4.00436i | 0.530693 | + | 0.142199i | ||||
\(794\) | −1.32375 | + | 0.866470i | −0.0469781 | + | 0.0307499i | ||||
\(795\) | −12.7611 | + | 13.2080i | −0.452589 | + | 0.468438i | ||||
\(796\) | 1.08872 | + | 0.475332i | 0.0385887 | + | 0.0168477i | ||||
\(797\) | 21.8462 | − | 21.8462i | 0.773831 | − | 0.773831i | −0.204943 | − | 0.978774i | \(-0.565701\pi\) |
0.978774 | + | 0.204943i | \(0.0657009\pi\) | |||||||
\(798\) | 8.77606 | + | 20.9157i | 0.310669 | + | 0.740408i | ||||
\(799\) | 24.2200 | 0.856841 | ||||||||
\(800\) | 1.48370 | + | 28.2453i | 0.0524568 | + | 0.998623i | ||||
\(801\) | −0.246494 | + | 0.426941i | −0.00870945 | + | 0.0150852i | ||||
\(802\) | −34.8647 | − | 7.27915i | −1.23112 | − | 0.257036i | ||||
\(803\) | 8.80277 | + | 2.35870i | 0.310643 | + | 0.0832366i | ||||
\(804\) | −23.3423 | + | 17.2183i | −0.823218 | + | 0.607241i | ||||
\(805\) | 5.37049 | + | 14.3325i | 0.189285 | + | 0.505154i | ||||
\(806\) | −3.24898 | − | 1.64067i | −0.114440 | − | 0.0577903i | ||||
\(807\) | 5.70604 | + | 1.52893i | 0.200862 | + | 0.0538209i | ||||
\(808\) | −3.84999 | − | 8.40093i | −0.135442 | − | 0.295544i | ||||
\(809\) | 40.9620 | + | 23.6494i | 1.44015 | + | 0.831468i | 0.997859 | − | 0.0654051i | \(-0.0208340\pi\) |
0.442287 | + | 0.896874i | \(0.354167\pi\) | |||||||
\(810\) | −22.4535 | + | 15.2553i | −0.788936 | + | 0.536018i | ||||
\(811\) | −52.5118 | −1.84394 | −0.921969 | − | 0.387265i | \(-0.873420\pi\) | ||||
−0.921969 | + | 0.387265i | \(0.873420\pi\) | |||||||
\(812\) | 28.6459 | − | 13.9527i | 1.00527 | − | 0.489644i | ||||
\(813\) | 23.2246 | + | 23.2246i | 0.814522 | + | 0.814522i | ||||
\(814\) | 4.83436 | + | 86.2787i | 0.169444 | + | 3.02407i | ||||
\(815\) | 0.325366 | + | 18.9076i | 0.0113971 | + | 0.662303i | ||||
\(816\) | 25.8970 | + | 27.9386i | 0.906575 | + | 0.978047i | ||||
\(817\) | 10.0964 | − | 37.6804i | 0.353229 | − | 1.31827i | ||||
\(818\) | 37.6357 | − | 12.3791i | 1.31590 | − | 0.432826i | ||||
\(819\) | −0.0589015 | − | 0.739263i | −0.00205819 | − | 0.0258319i | ||||
\(820\) | −10.1032 | + | 4.16425i | −0.352821 | + | 0.145422i | ||||
\(821\) | −16.8517 | + | 9.72931i | −0.588127 | + | 0.339555i | −0.764357 | − | 0.644794i | \(-0.776943\pi\) |
0.176229 | + | 0.984349i | \(0.443610\pi\) | |||||||
\(822\) | −1.37648 | − | 0.287385i | −0.0480102 | − | 0.0100237i | ||||
\(823\) | −40.0987 | + | 10.7444i | −1.39775 | + | 0.374527i | −0.877537 | − | 0.479509i | \(-0.840815\pi\) |
−0.520215 | + | 0.854035i | \(0.674148\pi\) | |||||||
\(824\) | −36.7556 | + | 30.4297i | −1.28044 | + | 1.06007i | ||||
\(825\) | −47.6464 | + | 14.5413i | −1.65884 | + | 0.506262i | ||||
\(826\) | 6.65309 | + | 8.58870i | 0.231491 | + | 0.298839i | ||||
\(827\) | 15.7682 | + | 15.7682i | 0.548315 | + | 0.548315i | 0.925953 | − | 0.377638i | \(-0.123264\pi\) |
−0.377638 | + | 0.925953i | \(0.623264\pi\) | |||||||
\(828\) | −0.639352 | + | 0.250741i | −0.0222190 | + | 0.00871384i | ||||
\(829\) | 4.45721 | − | 7.72011i | 0.154805 | − | 0.268131i | −0.778183 | − | 0.628038i | \(-0.783858\pi\) |
0.932988 | + | 0.359907i | \(0.117192\pi\) | |||||||
\(830\) | −2.95718 | + | 1.02939i | −0.102645 | + | 0.0357306i | ||||
\(831\) | 27.6336 | − | 15.9543i | 0.958599 | − | 0.553447i | ||||
\(832\) | −7.34195 | + | 15.2162i | −0.254536 | + | 0.527526i | ||||
\(833\) | 23.0796 | − | 31.8961i | 0.799661 | − | 1.10513i | ||||
\(834\) | 14.0189 | − | 27.7613i | 0.485436 | − | 0.961294i | ||||
\(835\) | 3.79968 | + | 2.10742i | 0.131493 | + | 0.0729303i | ||||
\(836\) | −41.8654 | + | 4.70638i | −1.44795 | + | 0.162773i | ||||
\(837\) | 1.67318 | + | 6.24440i | 0.0578336 | + | 0.215838i | ||||
\(838\) | −42.2467 | − | 37.7635i | −1.45939 | − | 1.30452i | ||||
\(839\) | 13.9480 | 0.481540 | 0.240770 | − | 0.970582i | \(-0.422600\pi\) | ||||
0.240770 | + | 0.970582i | \(0.422600\pi\) | |||||||
\(840\) | −7.41105 | − | 27.3480i | −0.255706 | − | 0.943595i | ||||
\(841\) | 7.25944 | 0.250326 | ||||||||
\(842\) | −33.6784 | − | 30.1045i | −1.16063 | − | 1.03747i | ||||
\(843\) | 7.13957 | + | 26.6453i | 0.245900 | + | 0.917711i | ||||
\(844\) | −0.927336 | − | 8.24908i | −0.0319202 | − | 0.283945i | ||||
\(845\) | −18.3577 | + | 5.25908i | −0.631524 | + | 0.180918i | ||||
\(846\) | 0.364358 | − | 0.721528i | 0.0125269 | − | 0.0248066i | ||||
\(847\) | −40.5398 | + | 47.5592i | −1.39297 | + | 1.63415i | ||||
\(848\) | 17.1582 | − | 9.05725i | 0.589214 | − | 0.311027i | ||||
\(849\) | 8.50814 | − | 4.91218i | 0.291999 | − | 0.168585i | ||||
\(850\) | 3.58979 | + | 39.6078i | 0.123129 | + | 1.35854i | ||||
\(851\) | 13.4336 | − | 23.2677i | 0.460498 | − | 0.797605i | ||||
\(852\) | 3.32128 | + | 8.46879i | 0.113785 | + | 0.290136i | ||||
\(853\) | −6.45667 | − | 6.45667i | −0.221072 | − | 0.221072i | 0.587878 | − | 0.808950i | \(-0.299964\pi\) |
−0.808950 | + | 0.587878i | \(0.799964\pi\) | |||||||
\(854\) | 27.1605 | − | 3.70243i | 0.929413 | − | 0.126694i | ||||
\(855\) | −1.03088 | − | 0.257298i | −0.0352555 | − | 0.00879942i | ||||
\(856\) | 26.6413 | − | 22.0561i | 0.910580 | − | 0.753863i | ||||
\(857\) | 3.03776 | − | 0.813965i | 0.103768 | − | 0.0278045i | −0.206561 | − | 0.978434i | \(-0.566227\pi\) |
0.310329 | + | 0.950629i | \(0.399561\pi\) | |||||||
\(858\) | −29.1282 | − | 6.08146i | −0.994420 | − | 0.207618i | ||||
\(859\) | −30.8952 | + | 17.8374i | −1.05413 | + | 0.608603i | −0.923803 | − | 0.382867i | \(-0.874937\pi\) |
−0.130329 | + | 0.991471i | \(0.541603\pi\) | |||||||
\(860\) | −18.7268 | + | 44.9882i | −0.638579 | + | 1.53408i | ||||
\(861\) | 9.01582 | − | 6.20926i | 0.307258 | − | 0.211611i | ||||
\(862\) | 11.2616 | − | 3.70416i | 0.383571 | − | 0.126164i | ||||
\(863\) | −6.08029 | + | 22.6920i | −0.206976 | + | 0.772443i | 0.781863 | + | 0.623451i | \(0.214270\pi\) |
−0.988838 | + | 0.148993i | \(0.952397\pi\) | |||||||
\(864\) | 28.8401 | − | 8.28895i | 0.981161 | − | 0.281996i | ||||
\(865\) | 34.0186 | − | 0.585402i | 1.15667 | − | 0.0199043i | ||||
\(866\) | −2.42382 | − | 43.2578i | −0.0823648 | − | 1.46996i | ||||
\(867\) | 17.5210 | + | 17.5210i | 0.595046 | + | 0.595046i | ||||
\(868\) | −6.43270 | − | 0.453253i | −0.218340 | − | 0.0153844i | ||||
\(869\) | 12.1597 | 0.412490 | ||||||||
\(870\) | 6.04579 | − | 31.6718i | 0.204972 | − | 1.07378i | ||||
\(871\) | −15.6644 | − | 9.04385i | −0.530768 | − | 0.306439i | ||||
\(872\) | 1.85483 | − | 0.850033i | 0.0628124 | − | 0.0287858i | ||||
\(873\) | 0.491766 | + | 0.131768i | 0.0166437 | + | 0.00445968i | ||||
\(874\) | 11.6922 | + | 5.90437i | 0.395496 | + | 0.199718i | ||||
\(875\) | 11.3137 | − | 27.3313i | 0.382473 | − | 0.923967i | ||||
\(876\) | 3.11374 | + | 4.22120i | 0.105204 | + | 0.142621i | ||||
\(877\) | 37.8470 | + | 10.1411i | 1.27800 | + | 0.342440i | 0.833092 | − | 0.553135i | \(-0.186569\pi\) |
0.444911 | + | 0.895575i | \(0.353235\pi\) | |||||||
\(878\) | 54.2326 | + | 11.3228i | 1.83026 | + | 0.382127i | ||||
\(879\) | 13.7742 | − | 23.8576i | 0.464591 | − | 0.804696i | ||||
\(880\) | 52.6158 | + | 1.08925i | 1.77368 | + | 0.0367187i | ||||
\(881\) | −27.2597 | −0.918404 | −0.459202 | − | 0.888332i | \(-0.651865\pi\) | ||||
−0.459202 | + | 0.888332i | \(0.651865\pi\) | |||||||
\(882\) | −0.603000 | − | 1.16739i | −0.0203041 | − | 0.0393081i | ||||
\(883\) | 10.1753 | − | 10.1753i | 0.342426 | − | 0.342426i | −0.514853 | − | 0.857279i | \(-0.672153\pi\) |
0.857279 | + | 0.514853i | \(0.172153\pi\) | |||||||
\(884\) | −9.50519 | + | 21.7711i | −0.319694 | + | 0.732242i | ||||
\(885\) | 10.9922 | − | 0.189157i | 0.369500 | − | 0.00635846i | ||||
\(886\) | 18.5206 | − | 12.1228i | 0.622212 | − | 0.407273i | ||||
\(887\) | 10.7483 | + | 2.88000i | 0.360893 | + | 0.0967009i | 0.434709 | − | 0.900571i | \(-0.356851\pi\) |
−0.0738164 | + | 0.997272i | \(0.523518\pi\) | |||||||
\(888\) | −28.7971 | + | 40.5531i | −0.966367 | + | 1.36087i | ||||
\(889\) | −20.9705 | − | 9.97749i | −0.703327 | − | 0.334634i | ||||
\(890\) | −11.7142 | + | 0.858781i | −0.392662 | + | 0.0287864i | ||||
\(891\) | 25.2542 | + | 43.7416i | 0.846048 | + | 1.46540i | ||||
\(892\) | −31.5455 | + | 39.5363i | −1.05622 | + | 1.32377i | ||||
\(893\) | −14.8913 | + | 3.99012i | −0.498320 | + | 0.133524i | ||||
\(894\) | −0.233563 | − | 4.16838i | −0.00781151 | − | 0.139412i | ||||
\(895\) | 5.87551 | − | 23.5407i | 0.196397 | − | 0.786877i | ||||
\(896\) | −1.56410 | + | 29.8924i | −0.0522529 | + | 0.998634i | ||||
\(897\) | 6.54186 | + | 6.54186i | 0.218426 | + | 0.218426i | ||||
\(898\) | 3.35736 | + | 3.00108i | 0.112036 | + | 0.100147i | ||||
\(899\) | −6.35523 | − | 3.66919i | −0.211959 | − | 0.122374i | ||||
\(900\) | 1.23394 | + | 0.488906i | 0.0411314 | + | 0.0162969i | ||||
\(901\) | 23.6259 | − | 13.6404i | 0.787093 | − | 0.454428i | ||||
\(902\) | 6.35300 | + | 19.3148i | 0.211532 | + | 0.643111i | ||||
\(903\) | 8.84962 | − | 48.0077i | 0.294497 | − | 1.59759i | ||||
\(904\) | −11.7696 | + | 1.99514i | −0.391450 | + | 0.0663572i | ||||
\(905\) | 5.63850 | − | 1.61531i | 0.187430 | − | 0.0536947i | ||||
\(906\) | −20.4997 | − | 31.3184i | −0.681057 | − | 1.04049i | ||||
\(907\) | 10.2823 | − | 2.75514i | 0.341419 | − | 0.0914830i | −0.0840353 | − | 0.996463i | \(-0.526781\pi\) |
0.425455 | + | 0.904980i | \(0.360114\pi\) | |||||||
\(908\) | −1.88046 | − | 4.79489i | −0.0624052 | − | 0.159124i | ||||
\(909\) | −0.433649 | −0.0143832 | ||||||||
\(910\) | 13.7801 | − | 11.0591i | 0.456807 | − | 0.366606i | ||||
\(911\) | − | 11.1349i | − | 0.368915i | −0.982840 | − | 0.184457i | \(-0.940947\pi\) | ||
0.982840 | − | 0.184457i | \(-0.0590528\pi\) | |||||||
\(912\) | −20.5252 | − | 12.9113i | −0.679656 | − | 0.427536i | ||||
\(913\) | 1.50790 | + | 5.62757i | 0.0499043 | + | 0.186246i | ||||
\(914\) | −4.36027 | − | 6.66140i | −0.144225 | − | 0.220339i | ||||
\(915\) | 13.4541 | − | 24.2578i | 0.444780 | − | 0.801938i | ||||
\(916\) | 22.7220 | − | 16.7607i | 0.750754 | − | 0.553789i | ||||
\(917\) | 17.1665 | − | 20.1388i | 0.566887 | − | 0.665042i | ||||
\(918\) | 40.0809 | − | 13.1834i | 1.32287 | − | 0.435116i | ||||
\(919\) | −22.7273 | − | 39.3649i | −0.749705 | − | 1.29853i | −0.947964 | − | 0.318378i | \(-0.896862\pi\) |
0.198259 | − | 0.980150i | \(-0.436471\pi\) | |||||||
\(920\) | −13.5020 | − | 9.24257i | −0.445147 | − | 0.304719i | ||||
\(921\) | 14.7678 | − | 25.5786i | 0.486616 | − | 0.842843i | ||||
\(922\) | 41.3654 | + | 36.9758i | 1.36230 | + | 1.21773i | ||||
\(923\) | −4.01119 | + | 4.01119i | −0.132030 | + | 0.132030i | ||||
\(924\) | −51.7570 | + | 10.0320i | −1.70268 | + | 0.330029i | ||||
\(925\) | −49.6634 | + | 15.1568i | −1.63292 | + | 0.498354i | ||||
\(926\) | −10.9229 | + | 0.612030i | −0.358948 | + | 0.0201125i | ||||
\(927\) | 0.579544 | + | 2.16289i | 0.0190347 | + | 0.0710386i | ||||
\(928\) | −16.4959 | + | 29.8025i | −0.541503 | + | 0.978315i | ||||
\(929\) | −9.74036 | + | 5.62360i | −0.319571 | + | 0.184504i | −0.651201 | − | 0.758905i | \(-0.725735\pi\) |
0.331631 | + | 0.943409i | \(0.392401\pi\) | |||||||
\(930\) | −4.26461 | + | 4.93936i | −0.139842 | + | 0.161968i | ||||
\(931\) | −8.93548 | + | 23.4132i | −0.292849 | + | 0.767335i | ||||
\(932\) | 0.116580 | − | 0.772131i | 0.00381869 | − | 0.0252920i | ||||
\(933\) | −8.55673 | + | 31.9342i | −0.280135 | + | 1.04548i | ||||
\(934\) | 13.7097 | + | 20.9449i | 0.448594 | + | 0.685339i | ||||
\(935\) | 73.9872 | − | 1.27319i | 2.41964 | − | 0.0416378i | ||||
\(936\) | 0.505581 | + | 0.610684i | 0.0165254 | + | 0.0199608i | ||||
\(937\) | 10.7077 | + | 10.7077i | 0.349806 | + | 0.349806i | 0.860037 | − | 0.510231i | \(-0.170440\pi\) |
−0.510231 | + | 0.860037i | \(0.670440\pi\) | |||||||
\(938\) | −31.7913 | − | 4.03731i | −1.03802 | − | 0.131823i | ||||
\(939\) | − | 53.4514i | − | 1.74432i | ||||||
\(940\) | 19.0979 | − | 2.48036i | 0.622903 | − | 0.0809004i | ||||
\(941\) | −49.4039 | − | 28.5233i | −1.61052 | − | 0.929834i | −0.989249 | − | 0.146239i | \(-0.953283\pi\) |
−0.621271 | − | 0.783596i | \(-0.713383\pi\) | |||||||
\(942\) | 11.7327 | − | 56.1956i | 0.382271 | − | 1.83095i | ||||
\(943\) | 1.63618 | − | 6.10630i | 0.0532813 | − | 0.198848i | ||||
\(944\) | −11.0965 | − | 3.42897i | −0.361161 | − | 0.111604i | ||||
\(945\) | −30.9561 | − | 5.15731i | −1.00700 | − | 0.167767i | ||||
\(946\) | 80.9355 | + | 40.8710i | 2.63144 | + | 1.32883i | ||||
\(947\) | −8.94718 | + | 33.3913i | −0.290744 | + | 1.08507i | 0.653794 | + | 0.756672i | \(0.273176\pi\) |
−0.944539 | + | 0.328400i | \(0.893491\pi\) | |||||||
\(948\) | 5.47078 | + | 4.36507i | 0.177683 | + | 0.141771i | ||||
\(949\) | −1.63548 | + | 2.83274i | −0.0530901 | + | 0.0919547i | ||||
\(950\) | −8.73232 | − | 23.7609i | −0.283314 | − | 0.770906i | ||||
\(951\) | 18.9280i | 0.613783i | ||||||||
\(952\) | −0.604837 | + | 42.0844i | −0.0196029 | + | 1.36396i | ||||
\(953\) | 16.8673 | − | 16.8673i | 0.546387 | − | 0.546387i | −0.379007 | − | 0.925394i | \(-0.623734\pi\) |
0.925394 | + | 0.379007i | \(0.123734\pi\) | |||||||
\(954\) | −0.0509349 | − | 0.909032i | −0.00164908 | − | 0.0294310i | ||||
\(955\) | −0.0370773 | − | 0.0358228i | −0.00119979 | − | 0.00115920i | ||||
\(956\) | 1.95166 | + | 17.3610i | 0.0631213 | + | 0.561493i | ||||
\(957\) | −57.9499 | − | 15.5276i | −1.87326 | − | 0.501937i | ||||
\(958\) | 7.06802 | + | 21.4886i | 0.228357 | + | 0.694265i | ||||
\(959\) | −0.881198 | − | 1.27950i | −0.0284554 | − | 0.0413171i | ||||
\(960\) | 23.2814 | + | 19.3780i | 0.751403 | + | 0.625421i | ||||
\(961\) | −14.7574 | − | 25.5606i | −0.476045 | − | 0.824535i | ||||
\(962\) | −30.3613 | − | 6.33890i | −0.978886 | − | 0.204374i | ||||
\(963\) | −0.420066 | − | 1.56771i | −0.0135365 | − | 0.0505187i | ||||
\(964\) | 10.1022 | + | 4.41059i | 0.325370 | + | 0.142055i | ||||
\(965\) | 14.4913 | − | 8.70239i | 0.466492 | − | 0.280140i | ||||
\(966\) | 15.1722 | + | 6.20326i | 0.488159 | + | 0.199587i | ||||
\(967\) | 18.2418 | − | 18.2418i | 0.586615 | − | 0.586615i | −0.350098 | − | 0.936713i | \(-0.613852\pi\) |
0.936713 | + | 0.350098i | \(0.113852\pi\) | |||||||
\(968\) | 6.26264 | − | 66.5135i | 0.201289 | − | 2.13783i | ||||
\(969\) | −29.5274 | − | 17.0477i | −0.948557 | − | 0.547649i | ||||
\(970\) | 3.98768 | + | 11.4556i | 0.128037 | + | 0.367818i | ||||
\(971\) | 0.716859 | + | 1.24164i | 0.0230051 | + | 0.0398460i | 0.877299 | − | 0.479945i | \(-0.159343\pi\) |
−0.854294 | + | 0.519791i | \(0.826010\pi\) | |||||||
\(972\) | 0.411543 | − | 2.72573i | 0.0132002 | − | 0.0874278i | ||||
\(973\) | 32.3787 | − | 11.5012i | 1.03801 | − | 0.368711i | ||||
\(974\) | −30.9050 | − | 15.6065i | −0.990261 | − | 0.500064i | ||||
\(975\) | −0.615188 | − | 17.8695i | −0.0197018 | − | 0.572282i | ||||
\(976\) | −21.4917 | + | 19.9211i | −0.687932 | + | 0.637660i | ||||
\(977\) | 24.0996 | − | 6.45746i | 0.771014 | − | 0.206592i | 0.148194 | − | 0.988958i | \(-0.452654\pi\) |
0.622819 | + | 0.782366i | \(0.285987\pi\) | |||||||
\(978\) | 15.0989 | + | 13.4967i | 0.482810 | + | 0.431575i | ||||
\(979\) | 21.8545i | 0.698474i | ||||||||
\(980\) | 14.9322 | − | 27.5142i | 0.476992 | − | 0.878908i | ||||
\(981\) | − | 0.0957446i | − | 0.00305689i | ||||||
\(982\) | 25.1553 | − | 28.1417i | 0.802739 | − | 0.898037i | ||||
\(983\) | −5.13258 | + | 1.37527i | −0.163704 | + | 0.0438643i | −0.339740 | − | 0.940519i | \(-0.610339\pi\) |
0.176036 | + | 0.984384i | \(0.443672\pi\) | |||||||
\(984\) | −4.07529 | + | 10.9705i | −0.129915 | + | 0.349727i | ||||
\(985\) | 25.0461 | + | 13.8914i | 0.798035 | + | 0.442615i | ||||
\(986\) | −21.5899 | + | 42.7538i | −0.687562 | + | 1.36156i | ||||
\(987\) | −18.1795 | + | 6.45753i | −0.578661 | + | 0.205545i | ||||
\(988\) | 2.25746 | − | 14.9516i | 0.0718194 | − | 0.475674i | ||||
\(989\) | −14.0952 | − | 24.4135i | −0.448200 | − | 0.776306i | ||||
\(990\) | 1.07511 | − | 2.22328i | 0.0341694 | − | 0.0706604i | ||||
\(991\) | −39.2568 | − | 22.6649i | −1.24703 | − | 0.719975i | −0.276517 | − | 0.961009i | \(-0.589180\pi\) |
−0.970517 | + | 0.241034i | \(0.922514\pi\) | |||||||
\(992\) | 5.90704 | − | 3.55425i | 0.187549 | − | 0.112848i | ||||
\(993\) | −1.77536 | + | 1.77536i | −0.0563393 | + | 0.0563393i | ||||
\(994\) | −3.80357 | + | 9.30296i | −0.120642 | + | 0.295072i | ||||
\(995\) | 1.28865 | + | 0.321635i | 0.0408530 | + | 0.0101965i | ||||
\(996\) | −1.34175 | + | 3.07321i | −0.0425150 | + | 0.0973783i | ||||
\(997\) | −14.4528 | − | 53.9385i | −0.457724 | − | 1.70825i | −0.679955 | − | 0.733254i | \(-0.738001\pi\) |
0.222231 | − | 0.974994i | \(-0.428666\pi\) | |||||||
\(998\) | −4.87250 | + | 23.3377i | −0.154236 | + | 0.738741i | ||||
\(999\) | 27.5443 | + | 47.7082i | 0.871464 | + | 1.50942i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 280.2.br.a.67.13 | ✓ | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.123.35 | yes | 176 | |
7.2 | even | 3 | inner | 280.2.br.a.107.43 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.67.25 | yes | 176 | |
35.23 | odd | 12 | inner | 280.2.br.a.163.25 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.123.43 | yes | 176 | |
56.51 | odd | 6 | inner | 280.2.br.a.107.35 | yes | 176 | |
280.163 | even | 12 | inner | 280.2.br.a.163.13 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.13 | ✓ | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.67.25 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.35 | yes | 176 | 56.51 | odd | 6 | inner | |
280.2.br.a.107.43 | yes | 176 | 7.2 | even | 3 | inner | |
280.2.br.a.123.35 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.123.43 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.13 | yes | 176 | 280.163 | even | 12 | inner | |
280.2.br.a.163.25 | yes | 176 | 35.23 | odd | 12 | inner |