Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(25,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.w (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 378.25 |
Dual form | 378.2.w.a.121.2 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.58205 | − | 0.705062i | −0.913398 | − | 0.407068i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 1.56427 | + | 0.569347i | 0.699562 | + | 0.254620i | 0.667224 | − | 0.744857i | \(-0.267482\pi\) |
0.0323383 | + | 0.999477i | \(0.489705\pi\) | |||||||
\(6\) | 1.72779 | + | 0.121449i | 0.705366 | + | 0.0495811i | ||||
\(7\) | 0.319985 | − | 2.62633i | 0.120943 | − | 0.992659i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.00577 | + | 2.23089i | 0.668591 | + | 0.743630i | ||||
\(10\) | −1.66466 | −0.526412 | ||||||||
\(11\) | −2.55453 | + | 0.929774i | −0.770221 | + | 0.280337i | −0.697089 | − | 0.716985i | \(-0.745522\pi\) |
−0.0731319 | + | 0.997322i | \(0.523299\pi\) | |||||||
\(12\) | −1.66513 | + | 0.476814i | −0.480681 | + | 0.137644i | ||||
\(13\) | −0.391548 | − | 2.22058i | −0.108596 | − | 0.615878i | −0.989723 | − | 0.142999i | \(-0.954326\pi\) |
0.881127 | − | 0.472880i | \(-0.156786\pi\) | |||||||
\(14\) | 0.597570 | + | 2.57738i | 0.159707 | + | 0.688835i | ||||
\(15\) | −2.07333 | − | 2.00364i | −0.535331 | − | 0.517339i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 7.12702 | 1.72856 | 0.864279 | − | 0.503014i | \(-0.167775\pi\) | ||||
0.864279 | + | 0.503014i | \(0.167775\pi\) | |||||||
\(18\) | −2.64782 | − | 1.41034i | −0.624097 | − | 0.332419i | ||||
\(19\) | −3.53203 | −0.810304 | −0.405152 | − | 0.914249i | \(-0.632781\pi\) | ||||
−0.405152 | + | 0.914249i | \(0.632781\pi\) | |||||||
\(20\) | 1.56427 | − | 0.569347i | 0.349781 | − | 0.127310i | ||||
\(21\) | −2.35796 | + | 3.92938i | −0.514549 | + | 0.857461i | ||||
\(22\) | 2.08247 | − | 1.74740i | 0.443985 | − | 0.372548i | ||||
\(23\) | −0.455505 | − | 2.58330i | −0.0949794 | − | 0.538655i | −0.994754 | − | 0.102299i | \(-0.967380\pi\) |
0.899774 | − | 0.436356i | \(-0.143731\pi\) | |||||||
\(24\) | 1.40163 | − | 1.01757i | 0.286106 | − | 0.207710i | ||||
\(25\) | −1.70744 | − | 1.43271i | −0.341488 | − | 0.286543i | ||||
\(26\) | 1.12742 | + | 1.95275i | 0.221105 | + | 0.382965i | ||||
\(27\) | −1.60032 | − | 4.94358i | −0.307982 | − | 0.951392i | ||||
\(28\) | −1.44305 | − | 2.21757i | −0.272711 | − | 0.419081i | ||||
\(29\) | 1.52100 | − | 8.62604i | 0.282443 | − | 1.60182i | −0.431835 | − | 0.901953i | \(-0.642134\pi\) |
0.714278 | − | 0.699862i | \(-0.246755\pi\) | |||||||
\(30\) | 2.63358 | + | 1.17369i | 0.480823 | + | 0.214285i | ||||
\(31\) | 6.70932 | − | 5.62979i | 1.20503 | − | 1.01114i | 0.205558 | − | 0.978645i | \(-0.434099\pi\) |
0.999472 | − | 0.0324957i | \(-0.0103455\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 4.69695 | + | 0.330155i | 0.817634 | + | 0.0574726i | ||||
\(34\) | −6.69721 | + | 2.43759i | −1.14856 | + | 0.418042i | ||||
\(35\) | 1.99584 | − | 3.92610i | 0.337358 | − | 0.663633i | ||||
\(36\) | 2.97050 | + | 0.419674i | 0.495083 | + | 0.0699457i | ||||
\(37\) | 4.94878 | − | 8.57154i | 0.813575 | − | 1.40915i | −0.0967722 | − | 0.995307i | \(-0.530852\pi\) |
0.910347 | − | 0.413846i | \(-0.135815\pi\) | |||||||
\(38\) | 3.31903 | − | 1.20803i | 0.538417 | − | 0.195968i | ||||
\(39\) | −0.946199 | + | 3.78914i | −0.151513 | + | 0.606748i | ||||
\(40\) | −1.27520 | + | 1.07002i | −0.201627 | + | 0.169185i | ||||
\(41\) | 0.959980 | + | 5.44432i | 0.149924 | + | 0.850260i | 0.963281 | + | 0.268495i | \(0.0865264\pi\) |
−0.813357 | + | 0.581765i | \(0.802363\pi\) | |||||||
\(42\) | 0.871830 | − | 4.49888i | 0.134526 | − | 0.694192i | ||||
\(43\) | −0.952500 | − | 0.799242i | −0.145255 | − | 0.121883i | 0.567265 | − | 0.823535i | \(-0.308002\pi\) |
−0.712520 | + | 0.701652i | \(0.752446\pi\) | |||||||
\(44\) | −1.35924 | + | 2.35427i | −0.204913 | + | 0.354920i | ||||
\(45\) | 1.86742 | + | 4.63169i | 0.278378 | + | 0.690452i | ||||
\(46\) | 1.31158 | + | 2.27172i | 0.193381 | + | 0.334946i | ||||
\(47\) | 0.462175 | + | 0.387811i | 0.0674151 | + | 0.0565680i | 0.675873 | − | 0.737018i | \(-0.263767\pi\) |
−0.608457 | + | 0.793586i | \(0.708211\pi\) | |||||||
\(48\) | −0.969071 | + | 1.43558i | −0.139873 | + | 0.207209i | ||||
\(49\) | −6.79522 | − | 1.68077i | −0.970746 | − | 0.240110i | ||||
\(50\) | 2.09449 | + | 0.762331i | 0.296205 | + | 0.107810i | ||||
\(51\) | −11.2753 | − | 5.02500i | −1.57886 | − | 0.703640i | ||||
\(52\) | −1.72731 | − | 1.44938i | −0.239534 | − | 0.200993i | ||||
\(53\) | −2.22157 | + | 3.84788i | −0.305157 | + | 0.528547i | −0.977296 | − | 0.211878i | \(-0.932042\pi\) |
0.672139 | + | 0.740425i | \(0.265376\pi\) | |||||||
\(54\) | 3.19461 | + | 4.09810i | 0.434732 | + | 0.557681i | ||||
\(55\) | −4.52534 | −0.610197 | ||||||||
\(56\) | 2.11448 | + | 1.59028i | 0.282559 | + | 0.212510i | ||||
\(57\) | 5.58786 | + | 2.49030i | 0.740130 | + | 0.329849i | ||||
\(58\) | 1.52100 | + | 8.62604i | 0.199718 | + | 1.13265i | ||||
\(59\) | 1.88446 | + | 10.6873i | 0.245336 | + | 1.39137i | 0.819712 | + | 0.572776i | \(0.194134\pi\) |
−0.574376 | + | 0.818592i | \(0.694755\pi\) | |||||||
\(60\) | −2.87618 | − | 0.202170i | −0.371313 | − | 0.0261001i | ||||
\(61\) | −7.23297 | − | 6.06918i | −0.926087 | − | 0.777079i | 0.0490236 | − | 0.998798i | \(-0.484389\pi\) |
−0.975111 | + | 0.221718i | \(0.928833\pi\) | |||||||
\(62\) | −4.37920 | + | 7.58500i | −0.556159 | + | 0.963296i | ||||
\(63\) | 6.50087 | − | 4.55397i | 0.819033 | − | 0.573747i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.651795 | − | 3.69651i | 0.0808452 | − | 0.458496i | ||||
\(66\) | −4.52661 | + | 1.29621i | −0.557187 | + | 0.159552i | ||||
\(67\) | 0.977175 | + | 0.355662i | 0.119381 | + | 0.0434511i | 0.401020 | − | 0.916069i | \(-0.368656\pi\) |
−0.281639 | + | 0.959520i | \(0.590878\pi\) | |||||||
\(68\) | 5.45962 | − | 4.58116i | 0.662076 | − | 0.555548i | ||||
\(69\) | −1.10075 | + | 4.40807i | −0.132515 | + | 0.530669i | ||||
\(70\) | −0.532666 | + | 4.37195i | −0.0636658 | + | 0.522548i | ||||
\(71\) | −0.486389 | − | 0.842451i | −0.0577238 | − | 0.0999805i | 0.835719 | − | 0.549157i | \(-0.185051\pi\) |
−0.893443 | + | 0.449176i | \(0.851718\pi\) | |||||||
\(72\) | −2.93489 | + | 0.621606i | −0.345881 | + | 0.0732570i | ||||
\(73\) | 3.95827 | + | 6.85593i | 0.463281 | + | 0.802425i | 0.999122 | − | 0.0418931i | \(-0.0133389\pi\) |
−0.535842 | + | 0.844319i | \(0.680006\pi\) | |||||||
\(74\) | −1.71869 | + | 9.74720i | −0.199794 | + | 1.13309i | ||||
\(75\) | 1.69111 | + | 3.47048i | 0.195272 | + | 0.400736i | ||||
\(76\) | −2.70569 | + | 2.27035i | −0.310364 | + | 0.260427i | ||||
\(77\) | 1.62448 | + | 7.00656i | 0.185127 | + | 0.798472i | ||||
\(78\) | −0.406826 | − | 3.88425i | −0.0460640 | − | 0.439804i | ||||
\(79\) | −0.744351 | + | 0.270922i | −0.0837461 | + | 0.0304811i | −0.383553 | − | 0.923519i | \(-0.625300\pi\) |
0.299807 | + | 0.954000i | \(0.403078\pi\) | |||||||
\(80\) | 0.832330 | − | 1.44164i | 0.0930573 | − | 0.161180i | ||||
\(81\) | −0.953742 | + | 8.94932i | −0.105971 | + | 0.994369i | ||||
\(82\) | −2.76415 | − | 4.78765i | −0.305250 | − | 0.528708i | ||||
\(83\) | 1.53575 | − | 8.70965i | 0.168570 | − | 0.956008i | −0.776737 | − | 0.629826i | \(-0.783126\pi\) |
0.945307 | − | 0.326183i | \(-0.105763\pi\) | |||||||
\(84\) | 0.719455 | + | 4.52575i | 0.0784990 | + | 0.493799i | ||||
\(85\) | 11.1486 | + | 4.05775i | 1.20923 | + | 0.440125i | ||||
\(86\) | 1.16841 | + | 0.425268i | 0.125993 | + | 0.0458578i | ||||
\(87\) | −8.48820 | + | 12.5744i | −0.910031 | + | 1.34812i | ||||
\(88\) | 0.472059 | − | 2.67718i | 0.0503216 | − | 0.285388i | ||||
\(89\) | −6.88195 | −0.729486 | −0.364743 | − | 0.931108i | \(-0.618843\pi\) | ||||
−0.364743 | + | 0.931108i | \(0.618843\pi\) | |||||||
\(90\) | −3.33893 | − | 3.71367i | −0.351954 | − | 0.391456i | ||||
\(91\) | −5.95727 | + | 0.317783i | −0.624491 | + | 0.0333127i | ||||
\(92\) | −2.00945 | − | 1.68613i | −0.209500 | − | 0.175791i | ||||
\(93\) | −14.5839 | + | 4.17613i | −1.51228 | + | 0.433044i | ||||
\(94\) | −0.566941 | − | 0.206350i | −0.0584755 | − | 0.0212834i | ||||
\(95\) | −5.52505 | − | 2.01095i | −0.566858 | − | 0.206320i | ||||
\(96\) | 0.419631 | − | 1.68045i | 0.0428284 | − | 0.171510i | ||||
\(97\) | 13.0432 | + | 10.9446i | 1.32434 | + | 1.11125i | 0.985365 | + | 0.170458i | \(0.0545248\pi\) |
0.338976 | + | 0.940795i | \(0.389920\pi\) | |||||||
\(98\) | 6.96028 | − | 0.744693i | 0.703094 | − | 0.0752254i | ||||
\(99\) | −7.19804 | − | 3.83397i | −0.723430 | − | 0.385328i | ||||
\(100\) | −2.22891 | −0.222891 | ||||||||
\(101\) | −0.823926 | + | 4.67272i | −0.0819837 | + | 0.464953i | 0.915983 | + | 0.401217i | \(0.131413\pi\) |
−0.997967 | + | 0.0637358i | \(0.979699\pi\) | |||||||
\(102\) | 12.3140 | + | 0.865566i | 1.21927 | + | 0.0857038i | ||||
\(103\) | 13.2148 | + | 4.80978i | 1.30209 | + | 0.473922i | 0.897677 | − | 0.440654i | \(-0.145253\pi\) |
0.404413 | + | 0.914576i | \(0.367476\pi\) | |||||||
\(104\) | 2.11885 | + | 0.771200i | 0.207771 | + | 0.0756224i | ||||
\(105\) | −5.92566 | + | 4.80411i | −0.578286 | + | 0.468833i | ||||
\(106\) | 0.771545 | − | 4.37565i | 0.0749391 | − | 0.425001i | ||||
\(107\) | −6.02453 | − | 10.4348i | −0.582413 | − | 1.00877i | −0.995193 | − | 0.0979380i | \(-0.968775\pi\) |
0.412779 | − | 0.910831i | \(-0.364558\pi\) | |||||||
\(108\) | −4.40359 | − | 2.75833i | −0.423735 | − | 0.265421i | ||||
\(109\) | −0.493499 | + | 0.854765i | −0.0472686 | + | 0.0818717i | −0.888692 | − | 0.458505i | \(-0.848385\pi\) |
0.841423 | + | 0.540377i | \(0.181718\pi\) | |||||||
\(110\) | 4.25243 | − | 1.54776i | 0.405453 | − | 0.147573i | ||||
\(111\) | −13.8727 | + | 10.0714i | −1.31674 | + | 0.955937i | ||||
\(112\) | −2.53087 | − | 0.771181i | −0.239144 | − | 0.0728698i | ||||
\(113\) | −5.24150 | + | 4.39814i | −0.493079 | + | 0.413742i | −0.855128 | − | 0.518417i | \(-0.826522\pi\) |
0.362049 | + | 0.932159i | \(0.382077\pi\) | |||||||
\(114\) | −6.10260 | − | 0.428960i | −0.571561 | − | 0.0401758i | ||||
\(115\) | 0.758262 | − | 4.30032i | 0.0707083 | − | 0.401006i | ||||
\(116\) | −4.37955 | − | 7.58561i | −0.406631 | − | 0.704306i | ||||
\(117\) | 4.16852 | − | 5.32749i | 0.385379 | − | 0.492526i | ||||
\(118\) | −5.42608 | − | 9.39825i | −0.499512 | − | 0.865179i | ||||
\(119\) | 2.28054 | − | 18.7179i | 0.209057 | − | 1.71587i | ||||
\(120\) | 2.77187 | − | 0.793733i | 0.253036 | − | 0.0724576i | ||||
\(121\) | −2.76533 | + | 2.32039i | −0.251394 | + | 0.210944i | ||||
\(122\) | 8.87255 | + | 3.22935i | 0.803283 | + | 0.292371i | ||||
\(123\) | 2.31985 | − | 9.29004i | 0.209174 | − | 0.837655i | ||||
\(124\) | 1.52088 | − | 8.62534i | 0.136579 | − | 0.774579i | ||||
\(125\) | −6.01684 | − | 10.4215i | −0.538162 | − | 0.932124i | ||||
\(126\) | −4.55127 | + | 6.50276i | −0.405459 | + | 0.579312i | ||||
\(127\) | 4.91915 | − | 8.52021i | 0.436504 | − | 0.756047i | −0.560913 | − | 0.827875i | \(-0.689550\pi\) |
0.997417 | + | 0.0718278i | \(0.0228832\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 0.943388 | + | 1.93601i | 0.0830607 | + | 0.170457i | ||||
\(130\) | 0.651795 | + | 3.69651i | 0.0571662 | + | 0.324206i | ||||
\(131\) | 3.83924 | + | 21.7734i | 0.335436 | + | 1.90235i | 0.422886 | + | 0.906183i | \(0.361017\pi\) |
−0.0874499 | + | 0.996169i | \(0.527872\pi\) | |||||||
\(132\) | 3.81029 | − | 2.76623i | 0.331643 | − | 0.240769i | ||||
\(133\) | −1.13020 | + | 9.27628i | −0.0980005 | + | 0.804356i | ||||
\(134\) | −1.03989 | −0.0898326 | ||||||||
\(135\) | 0.311282 | − | 8.64423i | 0.0267909 | − | 0.743977i | ||||
\(136\) | −3.56351 | + | 6.17218i | −0.305569 | + | 0.529260i | ||||
\(137\) | −3.48667 | − | 2.92566i | −0.297886 | − | 0.249956i | 0.481578 | − | 0.876403i | \(-0.340064\pi\) |
−0.779464 | + | 0.626447i | \(0.784508\pi\) | |||||||
\(138\) | −0.473279 | − | 4.51871i | −0.0402882 | − | 0.384658i | ||||
\(139\) | 9.92396 | + | 3.61203i | 0.841739 | + | 0.306368i | 0.726668 | − | 0.686989i | \(-0.241068\pi\) |
0.115072 | + | 0.993357i | \(0.463290\pi\) | |||||||
\(140\) | −0.994752 | − | 4.29047i | −0.0840719 | − | 0.362611i | ||||
\(141\) | −0.457754 | − | 0.939399i | −0.0385498 | − | 0.0791116i | ||||
\(142\) | 0.745192 | + | 0.625290i | 0.0625351 | + | 0.0524732i | ||||
\(143\) | 3.06486 | + | 5.30850i | 0.256297 | + | 0.443919i | ||||
\(144\) | 2.54530 | − | 1.58791i | 0.212108 | − | 0.132326i | ||||
\(145\) | 7.29047 | − | 12.6275i | 0.605441 | − | 1.04865i | ||||
\(146\) | −6.06442 | − | 5.08865i | −0.501895 | − | 0.421140i | ||||
\(147\) | 9.56534 | + | 7.45012i | 0.788936 | + | 0.614476i | ||||
\(148\) | −1.71869 | − | 9.74720i | −0.141276 | − | 0.801215i | ||||
\(149\) | −5.97358 | + | 5.01242i | −0.489374 | + | 0.410634i | −0.853802 | − | 0.520598i | \(-0.825709\pi\) |
0.364428 | + | 0.931232i | \(0.381265\pi\) | |||||||
\(150\) | −2.77609 | − | 2.68279i | −0.226667 | − | 0.219049i | ||||
\(151\) | −15.7890 | + | 5.74674i | −1.28489 | + | 0.467663i | −0.892048 | − | 0.451941i | \(-0.850732\pi\) |
−0.392846 | + | 0.919604i | \(0.628510\pi\) | |||||||
\(152\) | 1.76602 | − | 3.05883i | 0.143243 | − | 0.248104i | ||||
\(153\) | 14.2952 | + | 15.8996i | 1.15570 | + | 1.28541i | ||||
\(154\) | −3.92290 | − | 6.02841i | −0.316116 | − | 0.485783i | ||||
\(155\) | 13.7005 | − | 4.98657i | 1.10045 | − | 0.400531i | ||||
\(156\) | 1.71078 | + | 3.51085i | 0.136972 | + | 0.281093i | ||||
\(157\) | 1.77460 | + | 10.0643i | 0.141629 | + | 0.803217i | 0.970012 | + | 0.243056i | \(0.0781498\pi\) |
−0.828383 | + | 0.560161i | \(0.810739\pi\) | |||||||
\(158\) | 0.606801 | − | 0.509166i | 0.0482745 | − | 0.0405071i | ||||
\(159\) | 6.22764 | − | 4.52120i | 0.493884 | − | 0.358554i | ||||
\(160\) | −0.289065 | + | 1.63937i | −0.0228526 | + | 0.129604i | ||||
\(161\) | −6.93035 | + | 0.369691i | −0.546188 | + | 0.0291357i | ||||
\(162\) | −2.16462 | − | 8.73581i | −0.170069 | − | 0.686350i | ||||
\(163\) | 9.74051 | + | 16.8711i | 0.762936 | + | 1.32144i | 0.941331 | + | 0.337485i | \(0.109576\pi\) |
−0.178395 | + | 0.983959i | \(0.557090\pi\) | |||||||
\(164\) | 4.23493 | + | 3.55353i | 0.330692 | + | 0.277484i | ||||
\(165\) | 7.15932 | + | 3.19065i | 0.557352 | + | 0.248392i | ||||
\(166\) | 1.53575 | + | 8.70965i | 0.119197 | + | 0.676000i | ||||
\(167\) | 13.6941 | − | 11.4907i | 1.05968 | − | 0.889179i | 0.0656035 | − | 0.997846i | \(-0.479103\pi\) |
0.994078 | + | 0.108667i | \(0.0346583\pi\) | |||||||
\(168\) | −2.22396 | − | 4.00674i | −0.171583 | − | 0.309127i | ||||
\(169\) | 7.43833 | − | 2.70733i | 0.572179 | − | 0.208256i | ||||
\(170\) | −11.8641 | −0.909933 | ||||||||
\(171\) | −7.08446 | − | 7.87958i | −0.541762 | − | 0.602566i | ||||
\(172\) | −1.24340 | −0.0948084 | ||||||||
\(173\) | 0.235749 | − | 1.33700i | 0.0179237 | − | 0.101650i | −0.974534 | − | 0.224242i | \(-0.928009\pi\) |
0.992457 | + | 0.122592i | \(0.0391205\pi\) | |||||||
\(174\) | 3.67559 | − | 14.7192i | 0.278646 | − | 1.11586i | ||||
\(175\) | −4.30913 | + | 4.02586i | −0.325740 | + | 0.304326i | ||||
\(176\) | 0.472059 | + | 2.67718i | 0.0355828 | + | 0.201800i | ||||
\(177\) | 4.55390 | − | 18.2365i | 0.342292 | − | 1.37074i | ||||
\(178\) | 6.46692 | − | 2.35377i | 0.484716 | − | 0.176422i | ||||
\(179\) | 9.60898 | 0.718209 | 0.359104 | − | 0.933297i | \(-0.383082\pi\) | ||||
0.359104 | + | 0.933297i | \(0.383082\pi\) | |||||||
\(180\) | 4.40772 | + | 2.34773i | 0.328532 | + | 0.174989i | ||||
\(181\) | −2.78085 | + | 4.81657i | −0.206699 | + | 0.358013i | −0.950673 | − | 0.310196i | \(-0.899605\pi\) |
0.743974 | + | 0.668209i | \(0.232939\pi\) | |||||||
\(182\) | 5.48931 | − | 2.33612i | 0.406895 | − | 0.173165i | ||||
\(183\) | 7.16378 | + | 14.7015i | 0.529562 | + | 1.08676i | ||||
\(184\) | 2.46496 | + | 0.897170i | 0.181719 | + | 0.0661403i | ||||
\(185\) | 12.6214 | − | 10.5906i | 0.927944 | − | 0.778638i | ||||
\(186\) | 12.2760 | − | 8.91225i | 0.900121 | − | 0.653478i | ||||
\(187\) | −18.2062 | + | 6.62652i | −1.33137 | + | 0.484579i | ||||
\(188\) | 0.603326 | 0.0440021 | ||||||||
\(189\) | −13.4955 | + | 2.62110i | −0.981657 | + | 0.190657i | ||||
\(190\) | 5.87964 | 0.426554 | ||||||||
\(191\) | −15.9589 | + | 5.80857i | −1.15475 | + | 0.420294i | −0.847218 | − | 0.531245i | \(-0.821724\pi\) |
−0.307529 | + | 0.951539i | \(0.599502\pi\) | |||||||
\(192\) | 0.180424 | + | 1.72263i | 0.0130210 | + | 0.124320i | ||||
\(193\) | 17.0542 | − | 14.3102i | 1.22759 | − | 1.03007i | 0.229195 | − | 0.973380i | \(-0.426391\pi\) |
0.998392 | − | 0.0566875i | \(-0.0180539\pi\) | |||||||
\(194\) | −15.9999 | − | 5.82349i | −1.14873 | − | 0.418102i | ||||
\(195\) | −3.63745 | + | 5.38852i | −0.260483 | + | 0.385880i | ||||
\(196\) | −6.28582 | + | 3.08034i | −0.448987 | + | 0.220024i | ||||
\(197\) | −0.401069 | + | 0.694672i | −0.0285750 | + | 0.0494934i | −0.879959 | − | 0.475049i | \(-0.842430\pi\) |
0.851384 | + | 0.524543i | \(0.175764\pi\) | |||||||
\(198\) | 8.07524 | + | 1.14088i | 0.573882 | + | 0.0810785i | ||||
\(199\) | −2.38942 | −0.169382 | −0.0846908 | − | 0.996407i | \(-0.526990\pi\) | ||||
−0.0846908 | + | 0.996407i | \(0.526990\pi\) | |||||||
\(200\) | 2.09449 | − | 0.762331i | 0.148103 | − | 0.0539049i | ||||
\(201\) | −1.29518 | − | 1.25165i | −0.0913547 | − | 0.0882843i | ||||
\(202\) | −0.823926 | − | 4.67272i | −0.0579712 | − | 0.328771i | ||||
\(203\) | −22.1681 | − | 6.75486i | −1.55590 | − | 0.474098i | ||||
\(204\) | −11.8674 | + | 3.39826i | −0.830884 | + | 0.237926i | ||||
\(205\) | −1.59804 | + | 9.06294i | −0.111612 | + | 0.632983i | ||||
\(206\) | −14.0629 | −0.979806 | ||||||||
\(207\) | 4.84942 | − | 6.19770i | 0.337058 | − | 0.430770i | ||||
\(208\) | −2.25484 | −0.156345 | ||||||||
\(209\) | 9.02269 | − | 3.28399i | 0.624113 | − | 0.227158i | ||||
\(210\) | 3.92520 | − | 6.54108i | 0.270865 | − | 0.451378i | ||||
\(211\) | 7.96237 | − | 6.68122i | 0.548152 | − | 0.459954i | −0.326163 | − | 0.945314i | \(-0.605756\pi\) |
0.874315 | + | 0.485360i | \(0.161311\pi\) | |||||||
\(212\) | 0.771545 | + | 4.37565i | 0.0529899 | + | 0.300521i | ||||
\(213\) | 0.175512 | + | 1.67574i | 0.0120259 | + | 0.114820i | ||||
\(214\) | 9.23011 | + | 7.74498i | 0.630957 | + | 0.529436i | ||||
\(215\) | −1.03492 | − | 1.79253i | −0.0705809 | − | 0.122250i | ||||
\(216\) | 5.08143 | + | 1.08587i | 0.345747 | + | 0.0738842i | ||||
\(217\) | −12.6388 | − | 19.4223i | −0.857978 | − | 1.31848i | ||||
\(218\) | 0.171390 | − | 0.972003i | 0.0116080 | − | 0.0658324i | ||||
\(219\) | −1.42833 | − | 13.6373i | −0.0965177 | − | 0.921520i | ||||
\(220\) | −3.46661 | + | 2.90883i | −0.233719 | + | 0.196113i | ||||
\(221\) | −2.79057 | − | 15.8261i | −0.187714 | − | 1.06458i | ||||
\(222\) | 9.59144 | − | 14.2088i | 0.643736 | − | 0.953631i | ||||
\(223\) | −2.39329 | + | 0.871087i | −0.160267 | + | 0.0583323i | −0.420908 | − | 0.907103i | \(-0.638288\pi\) |
0.260641 | + | 0.965436i | \(0.416066\pi\) | |||||||
\(224\) | 2.64200 | − | 0.140934i | 0.176526 | − | 0.00941654i | ||||
\(225\) | −0.228515 | − | 6.68281i | −0.0152343 | − | 0.445521i | ||||
\(226\) | 3.42114 | − | 5.92560i | 0.227571 | − | 0.394165i | ||||
\(227\) | 6.72701 | − | 2.44843i | 0.446487 | − | 0.162508i | −0.108985 | − | 0.994043i | \(-0.534760\pi\) |
0.555472 | + | 0.831535i | \(0.312538\pi\) | |||||||
\(228\) | 5.88128 | − | 1.68412i | 0.389498 | − | 0.111534i | ||||
\(229\) | 9.98441 | − | 8.37792i | 0.659789 | − | 0.553628i | −0.250235 | − | 0.968185i | \(-0.580508\pi\) |
0.910023 | + | 0.414557i | \(0.136063\pi\) | |||||||
\(230\) | 0.758262 | + | 4.30032i | 0.0499983 | + | 0.283554i | ||||
\(231\) | 2.37005 | − | 12.2301i | 0.155938 | − | 0.804681i | ||||
\(232\) | 6.70987 | + | 5.63025i | 0.440524 | + | 0.369644i | ||||
\(233\) | −8.78382 | + | 15.2140i | −0.575447 | + | 0.996704i | 0.420546 | + | 0.907271i | \(0.361839\pi\) |
−0.995993 | + | 0.0894324i | \(0.971495\pi\) | |||||||
\(234\) | −2.09502 | + | 6.43191i | −0.136955 | + | 0.420467i | ||||
\(235\) | 0.502167 | + | 0.869778i | 0.0327577 | + | 0.0567381i | ||||
\(236\) | 8.31324 | + | 6.97564i | 0.541146 | + | 0.454075i | ||||
\(237\) | 1.36862 | + | 0.0962020i | 0.0889013 | + | 0.00624899i | ||||
\(238\) | 4.25890 | + | 18.3691i | 0.276063 | + | 1.19069i | ||||
\(239\) | −0.201785 | − | 0.0734437i | −0.0130524 | − | 0.00475068i | 0.335486 | − | 0.942045i | \(-0.391100\pi\) |
−0.348538 | + | 0.937295i | \(0.613322\pi\) | |||||||
\(240\) | −2.33323 | + | 1.69390i | −0.150610 | + | 0.109341i | ||||
\(241\) | −4.92102 | − | 4.12923i | −0.316991 | − | 0.265987i | 0.470383 | − | 0.882462i | \(-0.344116\pi\) |
−0.787374 | + | 0.616475i | \(0.788560\pi\) | |||||||
\(242\) | 1.80494 | − | 3.12625i | 0.116026 | − | 0.200963i | ||||
\(243\) | 7.81870 | − | 13.4858i | 0.501570 | − | 0.865117i | ||||
\(244\) | −9.44197 | −0.604460 | ||||||||
\(245\) | −9.67261 | − | 6.49802i | −0.617960 | − | 0.415143i | ||||
\(246\) | 0.997438 | + | 9.52322i | 0.0635943 | + | 0.607178i | ||||
\(247\) | 1.38296 | + | 7.84317i | 0.0879958 | + | 0.499049i | ||||
\(248\) | 1.52088 | + | 8.62534i | 0.0965760 | + | 0.547710i | ||||
\(249\) | −8.57048 | + | 12.6963i | −0.543132 | + | 0.804597i | ||||
\(250\) | 9.21833 | + | 7.73510i | 0.583018 | + | 0.489210i | ||||
\(251\) | −8.78817 | + | 15.2216i | −0.554704 | + | 0.960776i | 0.443222 | + | 0.896412i | \(0.353835\pi\) |
−0.997926 | + | 0.0643640i | \(0.979498\pi\) | |||||||
\(252\) | 2.05272 | − | 7.66723i | 0.129309 | − | 0.482990i | ||||
\(253\) | 3.56549 | + | 6.17561i | 0.224160 | + | 0.388257i | ||||
\(254\) | −1.70840 | + | 9.68883i | −0.107195 | + | 0.607931i | ||||
\(255\) | −14.7767 | − | 14.2800i | −0.925350 | − | 0.894249i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −12.5753 | + | 10.5520i | −0.784428 | + | 0.658213i | −0.944360 | − | 0.328915i | \(-0.893317\pi\) |
0.159932 | + | 0.987128i | \(0.448873\pi\) | |||||||
\(258\) | −1.54865 | − | 1.49660i | −0.0964148 | − | 0.0931743i | ||||
\(259\) | −20.9282 | − | 15.7399i | −1.30041 | − | 0.978030i | ||||
\(260\) | −1.87677 | − | 3.25066i | −0.116392 | − | 0.201597i | ||||
\(261\) | 22.2945 | − | 13.9087i | 1.38000 | − | 0.860926i | ||||
\(262\) | −11.0547 | − | 19.1472i | −0.682959 | − | 1.18292i | ||||
\(263\) | −3.66178 | + | 20.7670i | −0.225795 | + | 1.28055i | 0.635364 | + | 0.772213i | \(0.280850\pi\) |
−0.861159 | + | 0.508335i | \(0.830261\pi\) | |||||||
\(264\) | −2.63440 | + | 3.90260i | −0.162136 | + | 0.240189i | ||||
\(265\) | −5.66592 | + | 4.75427i | −0.348055 | + | 0.292053i | ||||
\(266\) | −2.11064 | − | 9.10341i | −0.129412 | − | 0.558166i | ||||
\(267\) | 10.8876 | + | 4.85221i | 0.666311 | + | 0.296950i | ||||
\(268\) | 0.977175 | − | 0.355662i | 0.0596904 | − | 0.0217255i | ||||
\(269\) | 4.06583 | − | 7.04222i | 0.247898 | − | 0.429371i | −0.715045 | − | 0.699079i | \(-0.753594\pi\) |
0.962942 | + | 0.269707i | \(0.0869270\pi\) | |||||||
\(270\) | 2.66399 | + | 8.22938i | 0.162125 | + | 0.500824i | ||||
\(271\) | 0.278589 | + | 0.482530i | 0.0169231 | + | 0.0293116i | 0.874363 | − | 0.485273i | \(-0.161280\pi\) |
−0.857440 | + | 0.514584i | \(0.827946\pi\) | |||||||
\(272\) | 1.23759 | − | 7.01875i | 0.0750402 | − | 0.425574i | ||||
\(273\) | 9.64876 | + | 3.69750i | 0.583970 | + | 0.223783i | ||||
\(274\) | 4.27703 | + | 1.55671i | 0.258385 | + | 0.0940444i | ||||
\(275\) | 5.69381 | + | 2.07238i | 0.343350 | + | 0.124969i | ||||
\(276\) | 1.99023 | + | 4.08433i | 0.119798 | + | 0.245848i | ||||
\(277\) | −4.99848 | + | 28.3478i | −0.300330 | + | 1.70325i | 0.344384 | + | 0.938829i | \(0.388088\pi\) |
−0.644713 | + | 0.764424i | \(0.723023\pi\) | |||||||
\(278\) | −10.5609 | −0.633398 | ||||||||
\(279\) | 26.0168 | + | 3.67568i | 1.55759 | + | 0.220057i | ||||
\(280\) | 2.40219 | + | 3.69150i | 0.143558 | + | 0.220609i | ||||
\(281\) | −1.88720 | − | 1.58355i | −0.112581 | − | 0.0944664i | 0.584760 | − | 0.811207i | \(-0.301189\pi\) |
−0.697340 | + | 0.716740i | \(0.745633\pi\) | |||||||
\(282\) | 0.751441 | + | 0.726185i | 0.0447477 | + | 0.0432437i | ||||
\(283\) | −20.9002 | − | 7.60705i | −1.24239 | − | 0.452192i | −0.364565 | − | 0.931178i | \(-0.618782\pi\) |
−0.877823 | + | 0.478985i | \(0.841005\pi\) | |||||||
\(284\) | −0.914113 | − | 0.332710i | −0.0542426 | − | 0.0197427i | ||||
\(285\) | 7.32307 | + | 7.07694i | 0.433781 | + | 0.419202i | ||||
\(286\) | −4.69564 | − | 3.94011i | −0.277659 | − | 0.232984i | ||||
\(287\) | 14.6058 | − | 0.779126i | 0.862151 | − | 0.0459903i | ||||
\(288\) | −1.84870 | + | 2.36269i | −0.108936 | + | 0.139223i | ||||
\(289\) | 33.7945 | 1.98791 | ||||||||
\(290\) | −2.53195 | + | 14.3594i | −0.148681 | + | 0.843214i | ||||
\(291\) | −12.9185 | − | 26.5112i | −0.757294 | − | 1.55411i | ||||
\(292\) | 7.43912 | + | 2.70762i | 0.435341 | + | 0.158451i | ||||
\(293\) | −12.9815 | − | 4.72489i | −0.758389 | − | 0.276031i | −0.0662575 | − | 0.997803i | \(-0.521106\pi\) |
−0.692131 | + | 0.721772i | \(0.743328\pi\) | |||||||
\(294\) | −11.5366 | − | 3.72929i | −0.672826 | − | 0.217496i | ||||
\(295\) | −3.13698 | + | 17.7907i | −0.182642 | + | 1.03582i | ||||
\(296\) | 4.94878 | + | 8.57154i | 0.287642 | + | 0.498211i | ||||
\(297\) | 8.68448 | + | 11.1406i | 0.503925 | + | 0.646443i | ||||
\(298\) | 3.89897 | − | 6.75322i | 0.225862 | − | 0.391204i | ||||
\(299\) | −5.55807 | + | 2.02297i | −0.321432 | + | 0.116992i | ||||
\(300\) | 3.52624 | + | 1.57152i | 0.203588 | + | 0.0907316i | ||||
\(301\) | −2.40386 | + | 2.24583i | −0.138556 | + | 0.129448i | ||||
\(302\) | 12.8713 | − | 10.8003i | 0.740663 | − | 0.621490i | ||||
\(303\) | 4.59805 | − | 6.81156i | 0.264151 | − | 0.391314i | ||||
\(304\) | −0.613331 | + | 3.47837i | −0.0351770 | + | 0.199498i | ||||
\(305\) | −7.85884 | − | 13.6119i | −0.449996 | − | 0.779416i | ||||
\(306\) | −18.8711 | − | 10.0515i | −1.07879 | − | 0.574606i | ||||
\(307\) | −2.51120 | − | 4.34952i | −0.143322 | − | 0.248240i | 0.785424 | − | 0.618958i | \(-0.212445\pi\) |
−0.928746 | + | 0.370718i | \(0.879112\pi\) | |||||||
\(308\) | 5.74815 | + | 4.32314i | 0.327532 | + | 0.246334i | ||||
\(309\) | −17.5153 | − | 16.9266i | −0.996408 | − | 0.962919i | ||||
\(310\) | −11.1687 | + | 9.37169i | −0.634342 | + | 0.532276i | ||||
\(311\) | 18.3110 | + | 6.66466i | 1.03832 | + | 0.377918i | 0.804244 | − | 0.594299i | \(-0.202571\pi\) |
0.234078 | + | 0.972218i | \(0.424793\pi\) | |||||||
\(312\) | −2.80839 | − | 2.71400i | −0.158994 | − | 0.153650i | ||||
\(313\) | −0.629073 | + | 3.56765i | −0.0355573 | + | 0.201656i | −0.997411 | − | 0.0719079i | \(-0.977091\pi\) |
0.961854 | + | 0.273563i | \(0.0882024\pi\) | |||||||
\(314\) | −5.10977 | − | 8.85038i | −0.288361 | − | 0.499456i | ||||
\(315\) | 12.7619 | − | 3.42239i | 0.719052 | − | 0.192830i | ||||
\(316\) | −0.396061 | + | 0.685998i | −0.0222802 | + | 0.0385904i | ||||
\(317\) | −25.5479 | − | 21.4373i | −1.43492 | − | 1.20404i | −0.942735 | − | 0.333543i | \(-0.891756\pi\) |
−0.492180 | − | 0.870493i | \(-0.663800\pi\) | |||||||
\(318\) | −4.30573 | + | 6.37851i | −0.241453 | + | 0.357689i | ||||
\(319\) | 4.13481 | + | 23.4497i | 0.231505 | + | 1.31293i | ||||
\(320\) | −0.289065 | − | 1.63937i | −0.0161592 | − | 0.0916436i | ||||
\(321\) | 2.17394 | + | 20.7560i | 0.121337 | + | 1.15849i | ||||
\(322\) | 6.38596 | − | 2.71772i | 0.355876 | − | 0.151452i | ||||
\(323\) | −25.1729 | −1.40066 | ||||||||
\(324\) | 5.02190 | + | 7.46863i | 0.278995 | + | 0.414924i | ||||
\(325\) | −2.51291 | + | 4.35249i | −0.139391 | + | 0.241433i | ||||
\(326\) | −14.9233 | − | 12.5222i | −0.826527 | − | 0.693538i | ||||
\(327\) | 1.38340 | − | 1.00434i | 0.0765024 | − | 0.0555399i | ||||
\(328\) | −5.19491 | − | 1.89079i | −0.286841 | − | 0.104402i | ||||
\(329\) | 1.16641 | − | 1.08973i | 0.0643062 | − | 0.0600788i | ||||
\(330\) | −7.81883 | − | 0.549596i | −0.430412 | − | 0.0302543i | ||||
\(331\) | −2.72406 | − | 2.28575i | −0.149728 | − | 0.125636i | 0.564847 | − | 0.825196i | \(-0.308935\pi\) |
−0.714575 | + | 0.699559i | \(0.753380\pi\) | |||||||
\(332\) | −4.42201 | − | 7.65914i | −0.242689 | − | 0.420350i | ||||
\(333\) | 29.0483 | − | 6.15238i | 1.59184 | − | 0.337149i | ||||
\(334\) | −8.93819 | + | 15.4814i | −0.489076 | + | 0.847105i | ||||
\(335\) | 1.32607 | + | 1.11270i | 0.0724509 | + | 0.0607935i | ||||
\(336\) | 3.46023 | + | 3.00447i | 0.188771 | + | 0.163907i | ||||
\(337\) | −6.23333 | − | 35.3510i | −0.339551 | − | 1.92569i | −0.376596 | − | 0.926378i | \(-0.622906\pi\) |
0.0370447 | − | 0.999314i | \(-0.488206\pi\) | |||||||
\(338\) | −6.06379 | + | 5.08812i | −0.329826 | + | 0.276757i | ||||
\(339\) | 11.3933 | − | 3.26250i | 0.618798 | − | 0.177195i | ||||
\(340\) | 11.1486 | − | 4.05775i | 0.604617 | − | 0.220062i | ||||
\(341\) | −11.9048 | + | 20.6196i | −0.644679 | + | 1.11662i | ||||
\(342\) | 9.35219 | + | 4.98135i | 0.505708 | + | 0.269361i | ||||
\(343\) | −6.58863 | + | 17.3087i | −0.355753 | + | 0.934580i | ||||
\(344\) | 1.16841 | − | 0.425268i | 0.0629966 | − | 0.0229289i | ||||
\(345\) | −4.23160 | + | 6.26870i | −0.227822 | + | 0.337495i | ||||
\(346\) | 0.235749 | + | 1.33700i | 0.0126740 | + | 0.0718776i | ||||
\(347\) | −11.8007 | + | 9.90200i | −0.633497 | + | 0.531567i | −0.902013 | − | 0.431708i | \(-0.857911\pi\) |
0.268516 | + | 0.963275i | \(0.413467\pi\) | |||||||
\(348\) | 1.58035 | + | 15.0887i | 0.0847157 | + | 0.808838i | ||||
\(349\) | −3.89158 | + | 22.0703i | −0.208312 | + | 1.18139i | 0.683831 | + | 0.729640i | \(0.260312\pi\) |
−0.892143 | + | 0.451753i | \(0.850799\pi\) | |||||||
\(350\) | 2.67234 | − | 5.25688i | 0.142842 | − | 0.280992i | ||||
\(351\) | −10.3510 | + | 5.48929i | −0.552496 | + | 0.292997i | ||||
\(352\) | −1.35924 | − | 2.35427i | −0.0724477 | − | 0.125483i | ||||
\(353\) | 3.93425 | + | 3.30123i | 0.209399 | + | 0.175707i | 0.741455 | − | 0.671003i | \(-0.234136\pi\) |
−0.532056 | + | 0.846709i | \(0.678580\pi\) | |||||||
\(354\) | 1.95799 | + | 18.6942i | 0.104066 | + | 0.993588i | ||||
\(355\) | −0.281196 | − | 1.59474i | −0.0149244 | − | 0.0846403i | ||||
\(356\) | −5.27188 | + | 4.42363i | −0.279409 | + | 0.234452i | ||||
\(357\) | −16.8052 | + | 28.0048i | −0.889427 | + | 1.48217i | ||||
\(358\) | −9.02949 | + | 3.28646i | −0.477223 | + | 0.173695i | ||||
\(359\) | 33.6761 | 1.77736 | 0.888679 | − | 0.458531i | \(-0.151624\pi\) | ||||
0.888679 | + | 0.458531i | \(0.151624\pi\) | |||||||
\(360\) | −4.94487 | − | 0.698615i | −0.260618 | − | 0.0368203i | ||||
\(361\) | −6.52474 | −0.343407 | ||||||||
\(362\) | 0.965778 | − | 5.47720i | 0.0507602 | − | 0.287875i | ||||
\(363\) | 6.01091 | − | 1.72124i | 0.315491 | − | 0.0903418i | ||||
\(364\) | −4.35927 | + | 4.07269i | −0.228488 | + | 0.213467i | ||||
\(365\) | 2.28840 | + | 12.9781i | 0.119780 | + | 0.679307i | ||||
\(366\) | −11.7599 | − | 11.3647i | −0.614702 | − | 0.594042i | ||||
\(367\) | 6.72236 | − | 2.44674i | 0.350904 | − | 0.127719i | −0.160553 | − | 0.987027i | \(-0.551328\pi\) |
0.511458 | + | 0.859308i | \(0.329106\pi\) | |||||||
\(368\) | −2.62315 | −0.136741 | ||||||||
\(369\) | −10.2202 | + | 13.0617i | −0.532041 | + | 0.679964i | ||||
\(370\) | −8.23804 | + | 14.2687i | −0.428275 | + | 0.741795i | ||||
\(371\) | 9.39493 | + | 7.06585i | 0.487761 | + | 0.366841i | ||||
\(372\) | −8.48752 | + | 12.5734i | −0.440057 | + | 0.651901i | ||||
\(373\) | −14.4455 | − | 5.25773i | −0.747959 | − | 0.272235i | −0.0602123 | − | 0.998186i | \(-0.519178\pi\) |
−0.687747 | + | 0.725951i | \(0.741400\pi\) | |||||||
\(374\) | 14.8418 | − | 12.4538i | 0.767453 | − | 0.643970i | ||||
\(375\) | 2.17116 | + | 20.7295i | 0.112118 | + | 1.07047i | ||||
\(376\) | −0.566941 | + | 0.206350i | −0.0292378 | + | 0.0106417i | ||||
\(377\) | −19.7504 | −1.01720 | ||||||||
\(378\) | 11.7852 | − | 7.07878i | 0.606165 | − | 0.364093i | ||||
\(379\) | −0.586331 | −0.0301178 | −0.0150589 | − | 0.999887i | \(-0.504794\pi\) | ||||
−0.0150589 | + | 0.999887i | \(0.504794\pi\) | |||||||
\(380\) | −5.52505 | + | 2.01095i | −0.283429 | + | 0.103160i | ||||
\(381\) | −13.7896 | + | 10.0111i | −0.706464 | + | 0.512885i | ||||
\(382\) | 13.0098 | − | 10.9165i | 0.665641 | − | 0.558539i | ||||
\(383\) | 5.76529 | + | 2.09839i | 0.294593 | + | 0.107223i | 0.485088 | − | 0.874465i | \(-0.338787\pi\) |
−0.190496 | + | 0.981688i | \(0.561010\pi\) | |||||||
\(384\) | −0.758716 | − | 1.55703i | −0.0387181 | − | 0.0794570i | ||||
\(385\) | −1.44804 | + | 11.8850i | −0.0737990 | + | 0.605718i | ||||
\(386\) | −11.1313 | + | 19.2800i | −0.566570 | + | 0.981328i | ||||
\(387\) | −0.127478 | − | 3.72802i | −0.00648005 | − | 0.189506i | ||||
\(388\) | 17.0267 | 0.864402 | ||||||||
\(389\) | 21.1620 | − | 7.70234i | 1.07296 | − | 0.390524i | 0.255675 | − | 0.966763i | \(-0.417702\pi\) |
0.817282 | + | 0.576238i | \(0.195480\pi\) | |||||||
\(390\) | 1.57510 | − | 6.30763i | 0.0797583 | − | 0.319399i | ||||
\(391\) | −3.24640 | − | 18.4112i | −0.164177 | − | 0.931096i | ||||
\(392\) | 4.85320 | − | 5.04445i | 0.245124 | − | 0.254783i | ||||
\(393\) | 9.27774 | − | 37.1536i | 0.468000 | − | 1.87415i | ||||
\(394\) | 0.139290 | − | 0.789952i | 0.00701732 | − | 0.0397972i | ||||
\(395\) | −1.31861 | −0.0663467 | ||||||||
\(396\) | −7.97844 | + | 1.68982i | −0.400932 | + | 0.0849167i | ||||
\(397\) | 18.8572 | 0.946417 | 0.473209 | − | 0.880950i | \(-0.343096\pi\) | ||||
0.473209 | + | 0.880950i | \(0.343096\pi\) | |||||||
\(398\) | 2.24532 | − | 0.817231i | 0.112548 | − | 0.0409641i | ||||
\(399\) | 8.32839 | − | 13.8787i | 0.416941 | − | 0.694804i | ||||
\(400\) | −1.70744 | + | 1.43271i | −0.0853721 | + | 0.0716357i | ||||
\(401\) | 4.16253 | + | 23.6069i | 0.207867 | + | 1.17887i | 0.892865 | + | 0.450325i | \(0.148692\pi\) |
−0.684998 | + | 0.728545i | \(0.740197\pi\) | |||||||
\(402\) | 1.64516 | + | 0.733186i | 0.0820529 | + | 0.0365680i | ||||
\(403\) | −15.1284 | − | 12.6943i | −0.753601 | − | 0.632346i | ||||
\(404\) | 2.37240 | + | 4.10912i | 0.118031 | + | 0.204436i | ||||
\(405\) | −6.58718 | + | 13.4561i | −0.327320 | + | 0.668641i | ||||
\(406\) | 23.1415 | − | 1.23446i | 1.14849 | − | 0.0612650i | ||||
\(407\) | −4.67223 | + | 26.4975i | −0.231594 | + | 1.31343i | ||||
\(408\) | 9.98943 | − | 7.25221i | 0.494551 | − | 0.359038i | ||||
\(409\) | 16.8224 | − | 14.1157i | 0.831815 | − | 0.697975i | −0.123892 | − | 0.992296i | \(-0.539538\pi\) |
0.955707 | + | 0.294320i | \(0.0950933\pi\) | |||||||
\(410\) | −1.59804 | − | 9.06294i | −0.0789216 | − | 0.447587i | ||||
\(411\) | 3.45331 | + | 7.08686i | 0.170339 | + | 0.349569i | ||||
\(412\) | 13.2148 | − | 4.80978i | 0.651045 | − | 0.236961i | ||||
\(413\) | 28.6714 | − | 1.52944i | 1.41083 | − | 0.0752587i | ||||
\(414\) | −2.43722 | + | 7.48253i | −0.119783 | + | 0.367746i | ||||
\(415\) | 7.36114 | − | 12.7499i | 0.361344 | − | 0.625866i | ||||
\(416\) | 2.11885 | − | 0.771200i | 0.103885 | − | 0.0378112i | ||||
\(417\) | −13.1535 | − | 12.7114i | −0.644130 | − | 0.622481i | ||||
\(418\) | −7.35537 | + | 6.17189i | −0.359763 | + | 0.301877i | ||||
\(419\) | −1.76140 | − | 9.98941i | −0.0860501 | − | 0.488014i | −0.997125 | − | 0.0757736i | \(-0.975857\pi\) |
0.911075 | − | 0.412241i | \(-0.135254\pi\) | |||||||
\(420\) | −1.45130 | + | 7.48911i | −0.0708162 | + | 0.365431i | ||||
\(421\) | −12.2553 | − | 10.2834i | −0.597289 | − | 0.501185i | 0.293284 | − | 0.956025i | \(-0.405252\pi\) |
−0.890573 | + | 0.454841i | \(0.849696\pi\) | |||||||
\(422\) | −5.19707 | + | 9.00158i | −0.252989 | + | 0.438190i | ||||
\(423\) | 0.0618551 | + | 1.80892i | 0.00300750 | + | 0.0879528i | ||||
\(424\) | −2.22157 | − | 3.84788i | −0.107889 | − | 0.186870i | ||||
\(425\) | −12.1690 | − | 10.2110i | −0.590282 | − | 0.495305i | ||||
\(426\) | −0.738063 | − | 1.51465i | −0.0357593 | − | 0.0733849i | ||||
\(427\) | −18.2541 | + | 17.0541i | −0.883379 | + | 0.825307i | ||||
\(428\) | −11.3224 | − | 4.12102i | −0.547289 | − | 0.199197i | ||||
\(429\) | −1.10595 | − | 10.5592i | −0.0533957 | − | 0.509805i | ||||
\(430\) | 1.58559 | + | 1.33047i | 0.0764639 | + | 0.0641608i | ||||
\(431\) | 10.1894 | − | 17.6486i | 0.490809 | − | 0.850105i | −0.509135 | − | 0.860686i | \(-0.670035\pi\) |
0.999944 | + | 0.0105811i | \(0.00336812\pi\) | |||||||
\(432\) | −5.14637 | + | 0.717565i | −0.247605 | + | 0.0345238i | ||||
\(433\) | 9.41053 | 0.452241 | 0.226121 | − | 0.974099i | \(-0.427396\pi\) | ||||
0.226121 | + | 0.974099i | \(0.427396\pi\) | |||||||
\(434\) | 18.5194 | + | 13.9283i | 0.888961 | + | 0.668580i | ||||
\(435\) | −20.4371 | + | 14.8371i | −0.979882 | + | 0.711383i | ||||
\(436\) | 0.171390 | + | 0.972003i | 0.00820811 | + | 0.0465505i | ||||
\(437\) | 1.60886 | + | 9.12430i | 0.0769622 | + | 0.436474i | ||||
\(438\) | 6.00641 | + | 12.3263i | 0.286997 | + | 0.588974i | ||||
\(439\) | 5.99346 | + | 5.02911i | 0.286052 | + | 0.240026i | 0.774511 | − | 0.632561i | \(-0.217996\pi\) |
−0.488459 | + | 0.872587i | \(0.662441\pi\) | |||||||
\(440\) | 2.26267 | − | 3.91906i | 0.107869 | − | 0.186834i | ||||
\(441\) | −9.88006 | − | 18.5306i | −0.470479 | − | 0.882411i | ||||
\(442\) | 8.03514 | + | 13.9173i | 0.382193 | + | 0.661977i | ||||
\(443\) | 2.97748 | − | 16.8861i | 0.141464 | − | 0.802284i | −0.828674 | − | 0.559732i | \(-0.810904\pi\) |
0.970138 | − | 0.242552i | \(-0.0779847\pi\) | |||||||
\(444\) | −4.15332 | + | 16.6324i | −0.197108 | + | 0.789337i | ||||
\(445\) | −10.7652 | − | 3.91822i | −0.510321 | − | 0.185742i | ||||
\(446\) | 1.95103 | − | 1.63711i | 0.0923840 | − | 0.0775194i | ||||
\(447\) | 12.9846 | − | 3.71817i | 0.614149 | − | 0.175863i | ||||
\(448\) | −2.43446 | + | 1.03605i | −0.115017 | + | 0.0489488i | ||||
\(449\) | 9.98223 | + | 17.2897i | 0.471091 | + | 0.815953i | 0.999453 | − | 0.0330660i | \(-0.0105272\pi\) |
−0.528363 | + | 0.849019i | \(0.677194\pi\) | |||||||
\(450\) | 2.50039 | + | 6.20163i | 0.117870 | + | 0.292348i | ||||
\(451\) | −7.51429 | − | 13.0151i | −0.353834 | − | 0.612858i | ||||
\(452\) | −1.18815 | + | 6.73834i | −0.0558859 | + | 0.316945i | ||||
\(453\) | 29.0309 | + | 2.04062i | 1.36399 | + | 0.0958767i | ||||
\(454\) | −5.48391 | + | 4.60154i | −0.257373 | + | 0.215961i | ||||
\(455\) | −9.49970 | − | 2.89466i | −0.445353 | − | 0.135704i | ||||
\(456\) | −4.95060 | + | 3.59408i | −0.231833 | + | 0.168308i | ||||
\(457\) | 31.3648 | − | 11.4159i | 1.46719 | − | 0.534012i | 0.519851 | − | 0.854257i | \(-0.325987\pi\) |
0.947335 | + | 0.320245i | \(0.103765\pi\) | |||||||
\(458\) | −6.51686 | + | 11.2875i | −0.304513 | + | 0.527432i | ||||
\(459\) | −11.4055 | − | 35.2330i | −0.532364 | − | 1.64454i | ||||
\(460\) | −2.18333 | − | 3.78163i | −0.101798 | − | 0.176320i | ||||
\(461\) | 4.49969 | − | 25.5190i | 0.209571 | − | 1.18854i | −0.680511 | − | 0.732738i | \(-0.738242\pi\) |
0.890082 | − | 0.455800i | \(-0.150647\pi\) | |||||||
\(462\) | 1.95582 | + | 12.3031i | 0.0909931 | + | 0.572394i | ||||
\(463\) | 4.50746 | + | 1.64058i | 0.209480 | + | 0.0762443i | 0.444629 | − | 0.895715i | \(-0.353336\pi\) |
−0.235149 | + | 0.971959i | \(0.575558\pi\) | |||||||
\(464\) | −8.23087 | − | 2.99579i | −0.382109 | − | 0.139076i | ||||
\(465\) | −25.1907 | − | 1.77069i | −1.16819 | − | 0.0821138i | ||||
\(466\) | 3.05059 | − | 17.3007i | 0.141316 | − | 0.801442i | ||||
\(467\) | 10.0205 | 0.463696 | 0.231848 | − | 0.972752i | \(-0.425523\pi\) | ||||
0.231848 | + | 0.972752i | \(0.425523\pi\) | |||||||
\(468\) | −0.231173 | − | 6.76056i | −0.0106860 | − | 0.312507i | ||||
\(469\) | 1.24677 | − | 2.45258i | 0.0575704 | − | 0.113249i | ||||
\(470\) | −0.769364 | − | 0.645573i | −0.0354881 | − | 0.0297781i | ||||
\(471\) | 4.28843 | − | 17.1734i | 0.197601 | − | 0.791309i | ||||
\(472\) | −10.1977 | − | 3.71166i | −0.469387 | − | 0.170843i | ||||
\(473\) | 3.17631 | + | 1.15608i | 0.146047 | + | 0.0531567i | ||||
\(474\) | −1.31898 | + | 0.377695i | −0.0605829 | + | 0.0173481i | ||||
\(475\) | 6.03074 | + | 5.06039i | 0.276709 | + | 0.232187i | ||||
\(476\) | −10.2846 | − | 15.8047i | −0.471396 | − | 0.724405i | ||||
\(477\) | −13.0402 | + | 2.76189i | −0.597069 | + | 0.126458i | ||||
\(478\) | 0.214735 | 0.00982176 | ||||||||
\(479\) | 1.89014 | − | 10.7195i | 0.0863626 | − | 0.489787i | −0.910692 | − | 0.413087i | \(-0.864451\pi\) |
0.997054 | − | 0.0766998i | \(-0.0244383\pi\) | |||||||
\(480\) | 1.61317 | − | 2.38976i | 0.0736310 | − | 0.109077i | ||||
\(481\) | −20.9715 | − | 7.63300i | −0.956218 | − | 0.348035i | ||||
\(482\) | 6.03653 | + | 2.19712i | 0.274956 | + | 0.100076i | ||||
\(483\) | 11.2248 | + | 4.30146i | 0.510747 | + | 0.195723i | ||||
\(484\) | −0.626850 | + | 3.55504i | −0.0284932 | + | 0.161593i | ||||
\(485\) | 14.1719 | + | 24.5464i | 0.643511 | + | 1.11459i | ||||
\(486\) | −2.73475 | + | 15.3467i | −0.124051 | + | 0.696140i | ||||
\(487\) | −6.78837 | + | 11.7578i | −0.307611 | + | 0.532797i | −0.977839 | − | 0.209358i | \(-0.932863\pi\) |
0.670229 | + | 0.742155i | \(0.266196\pi\) | |||||||
\(488\) | 8.87255 | − | 3.22935i | 0.401642 | − | 0.146186i | ||||
\(489\) | −3.51484 | − | 33.5586i | −0.158947 | − | 1.51757i | ||||
\(490\) | 11.3117 | + | 2.79791i | 0.511012 | + | 0.126397i | ||||
\(491\) | −14.8751 | + | 12.4817i | −0.671305 | + | 0.563292i | −0.913451 | − | 0.406948i | \(-0.866593\pi\) |
0.242146 | + | 0.970240i | \(0.422149\pi\) | |||||||
\(492\) | −4.19442 | − | 8.60775i | −0.189099 | − | 0.388067i | ||||
\(493\) | 10.8402 | − | 61.4780i | 0.488219 | − | 2.76883i | ||||
\(494\) | −3.98208 | − | 6.89716i | −0.179162 | − | 0.310318i | ||||
\(495\) | −9.07681 | − | 10.0955i | −0.407972 | − | 0.453761i | ||||
\(496\) | −4.37920 | − | 7.58500i | −0.196632 | − | 0.340576i | ||||
\(497\) | −2.36819 | + | 1.00785i | −0.106228 | + | 0.0452081i | ||||
\(498\) | 3.71122 | − | 14.8619i | 0.166304 | − | 0.665978i | ||||
\(499\) | −11.7524 | + | 9.86146i | −0.526111 | + | 0.441460i | −0.866756 | − | 0.498732i | \(-0.833799\pi\) |
0.340645 | + | 0.940192i | \(0.389355\pi\) | |||||||
\(500\) | −11.3080 | − | 4.11576i | −0.505707 | − | 0.184062i | ||||
\(501\) | −29.7665 | + | 8.52371i | −1.32987 | + | 0.380811i | ||||
\(502\) | 3.05210 | − | 17.3093i | 0.136222 | − | 0.772552i | ||||
\(503\) | −10.3416 | − | 17.9122i | −0.461111 | − | 0.798668i | 0.537906 | − | 0.843005i | \(-0.319216\pi\) |
−0.999017 | + | 0.0443375i | \(0.985882\pi\) | |||||||
\(504\) | 0.693421 | + | 7.90691i | 0.0308874 | + | 0.352202i | ||||
\(505\) | −3.94924 | + | 6.84028i | −0.175739 | + | 0.304389i | ||||
\(506\) | −5.46264 | − | 4.58370i | −0.242844 | − | 0.203770i | ||||
\(507\) | −13.6767 | − | 0.961351i | −0.607402 | − | 0.0426951i | ||||
\(508\) | −1.70840 | − | 9.68883i | −0.0757981 | − | 0.429872i | ||||
\(509\) | −0.552492 | − | 3.13334i | −0.0244888 | − | 0.138883i | 0.970112 | − | 0.242657i | \(-0.0780191\pi\) |
−0.994601 | + | 0.103775i | \(0.966908\pi\) | |||||||
\(510\) | 18.7696 | + | 8.36491i | 0.831131 | + | 0.370405i | ||||
\(511\) | 19.2725 | − | 8.20193i | 0.852566 | − | 0.362832i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 5.65239 | + | 17.4609i | 0.249559 | + | 0.770917i | ||||
\(514\) | 8.20797 | − | 14.2166i | 0.362038 | − | 0.627068i | ||||
\(515\) | 17.9330 | + | 15.0476i | 0.790223 | + | 0.663076i | ||||
\(516\) | 1.96712 | + | 0.876675i | 0.0865977 | + | 0.0385934i | ||||
\(517\) | −1.54122 | − | 0.560957i | −0.0677827 | − | 0.0246709i | ||||
\(518\) | 25.0494 | + | 7.63281i | 1.10061 | + | 0.335367i | ||||
\(519\) | −1.31564 | + | 1.94899i | −0.0577500 | + | 0.0855510i | ||||
\(520\) | 2.87538 | + | 2.41273i | 0.126094 | + | 0.105805i | ||||
\(521\) | 15.0979 | + | 26.1503i | 0.661449 | + | 1.14566i | 0.980235 | + | 0.197837i | \(0.0633916\pi\) |
−0.318786 | + | 0.947827i | \(0.603275\pi\) | |||||||
\(522\) | −16.1930 | + | 20.6951i | −0.708746 | + | 0.905799i | ||||
\(523\) | −16.5375 | + | 28.6437i | −0.723133 | + | 1.25250i | 0.236605 | + | 0.971606i | \(0.423965\pi\) |
−0.959738 | + | 0.280897i | \(0.909368\pi\) | |||||||
\(524\) | 16.9367 | + | 14.2116i | 0.739884 | + | 0.620836i | ||||
\(525\) | 9.65575 | − | 3.33091i | 0.421412 | − | 0.145373i | ||||
\(526\) | −3.66178 | − | 20.7670i | −0.159661 | − | 0.905484i | ||||
\(527\) | 47.8175 | − | 40.1237i | 2.08296 | − | 1.74781i | ||||
\(528\) | 1.14076 | − | 4.56826i | 0.0496450 | − | 0.198808i | ||||
\(529\) | 15.1470 | − | 5.51305i | 0.658564 | − | 0.239698i | ||||
\(530\) | 3.69817 | − | 6.40541i | 0.160638 | − | 0.278233i | ||||
\(531\) | −20.0624 | + | 25.6403i | −0.870634 | + | 1.11270i | ||||
\(532\) | 5.09690 | + | 7.83252i | 0.220979 | + | 0.339583i | ||||
\(533\) | 11.7137 | − | 4.26343i | 0.507376 | − | 0.184670i | ||||
\(534\) | −11.8906 | − | 0.835803i | −0.514555 | − | 0.0361687i | ||||
\(535\) | −3.48296 | − | 19.7529i | −0.150582 | − | 0.853991i | ||||
\(536\) | −0.796600 | + | 0.668427i | −0.0344079 | + | 0.0288716i | ||||
\(537\) | −15.2019 | − | 6.77493i | −0.656011 | − | 0.292360i | ||||
\(538\) | −1.41205 | + | 8.00811i | −0.0608776 | + | 0.345254i | ||||
\(539\) | 18.9213 | − | 2.02443i | 0.815000 | − | 0.0871984i | ||||
\(540\) | −5.31795 | − | 6.82195i | −0.228848 | − | 0.293570i | ||||
\(541\) | 16.1933 | + | 28.0475i | 0.696202 | + | 1.20586i | 0.969774 | + | 0.244006i | \(0.0784617\pi\) |
−0.273571 | + | 0.961852i | \(0.588205\pi\) | |||||||
\(542\) | −0.426823 | − | 0.358147i | −0.0183336 | − | 0.0153837i | ||||
\(543\) | 7.79543 | − | 5.65939i | 0.334534 | − | 0.242868i | ||||
\(544\) | 1.23759 | + | 7.01875i | 0.0530614 | + | 0.300926i | ||||
\(545\) | −1.25862 | + | 1.05611i | −0.0539135 | + | 0.0452388i | ||||
\(546\) | −10.3315 | − | 0.174440i | −0.442147 | − | 0.00746534i | ||||
\(547\) | −12.8922 | + | 4.69236i | −0.551229 | + | 0.200631i | −0.602592 | − | 0.798049i | \(-0.705866\pi\) |
0.0513635 | + | 0.998680i | \(0.483643\pi\) | |||||||
\(548\) | −4.55152 | −0.194431 | ||||||||
\(549\) | −0.968023 | − | 28.3094i | −0.0413142 | − | 1.20821i | ||||
\(550\) | −6.05923 | −0.258366 | ||||||||
\(551\) | −5.37223 | + | 30.4675i | −0.228865 | + | 1.29796i | ||||
\(552\) | −3.26713 | − | 3.15732i | −0.139058 | − | 0.134384i | ||||
\(553\) | 0.473349 | + | 2.04160i | 0.0201288 | + | 0.0868178i | ||||
\(554\) | −4.99848 | − | 28.3478i | −0.212365 | − | 1.20438i | ||||
\(555\) | −27.4348 | + | 7.85602i | −1.16454 | + | 0.333470i | ||||
\(556\) | 9.92396 | − | 3.61203i | 0.420870 | − | 0.153184i | ||||
\(557\) | 15.0898 | 0.639377 | 0.319689 | − | 0.947523i | \(-0.396422\pi\) | ||||
0.319689 | + | 0.947523i | \(0.396422\pi\) | |||||||
\(558\) | −25.7050 | + | 5.44428i | −1.08818 | + | 0.230475i | ||||
\(559\) | −1.40183 | + | 2.42804i | −0.0592912 | + | 0.102695i | ||||
\(560\) | −3.51988 | − | 2.64728i | −0.148742 | − | 0.111868i | ||||
\(561\) | 33.4753 | + | 2.35302i | 1.41333 | + | 0.0993447i | ||||
\(562\) | 2.31499 | + | 0.842587i | 0.0976519 | + | 0.0355424i | ||||
\(563\) | 25.3342 | − | 21.2579i | 1.06771 | − | 0.895913i | 0.0728652 | − | 0.997342i | \(-0.476786\pi\) |
0.994843 | + | 0.101428i | \(0.0323413\pi\) | |||||||
\(564\) | −0.954493 | − | 0.425383i | −0.0401914 | − | 0.0179118i | ||||
\(565\) | −10.7032 | + | 3.89564i | −0.450286 | + | 0.163891i | ||||
\(566\) | 22.2415 | 0.934881 | ||||||||
\(567\) | 23.1987 | + | 5.36849i | 0.974253 | + | 0.225455i | ||||
\(568\) | 0.972779 | 0.0408169 | ||||||||
\(569\) | −21.7809 | + | 7.92759i | −0.913102 | + | 0.332342i | −0.755491 | − | 0.655159i | \(-0.772601\pi\) |
−0.157611 | + | 0.987501i | \(0.550379\pi\) | |||||||
\(570\) | −9.30189 | − | 4.14551i | −0.389613 | − | 0.173636i | ||||
\(571\) | −19.0717 | + | 16.0031i | −0.798126 | + | 0.669708i | −0.947742 | − | 0.319037i | \(-0.896641\pi\) |
0.149616 | + | 0.988744i | \(0.452196\pi\) | |||||||
\(572\) | 5.76006 | + | 2.09649i | 0.240840 | + | 0.0876586i | ||||
\(573\) | 29.3432 | + | 2.06258i | 1.22583 | + | 0.0861653i | ||||
\(574\) | −13.4584 | + | 5.72760i | −0.561745 | + | 0.239066i | ||||
\(575\) | −2.92338 | + | 5.06344i | −0.121913 | + | 0.211160i | ||||
\(576\) | 0.929121 | − | 2.85250i | 0.0387134 | − | 0.118854i | ||||
\(577\) | −10.3590 | −0.431251 | −0.215625 | − | 0.976476i | \(-0.569179\pi\) | ||||
−0.215625 | + | 0.976476i | \(0.569179\pi\) | |||||||
\(578\) | −31.7564 | + | 11.5584i | −1.32089 | + | 0.480765i | ||||
\(579\) | −37.0702 | + | 10.6151i | −1.54058 | + | 0.441150i | ||||
\(580\) | −2.53195 | − | 14.3594i | −0.105134 | − | 0.596243i | ||||
\(581\) | −22.3830 | − | 6.82033i | −0.928603 | − | 0.282955i | ||||
\(582\) | 21.2067 | + | 20.4940i | 0.879048 | + | 0.849503i | ||||
\(583\) | 2.09743 | − | 11.8951i | 0.0868665 | − | 0.492645i | ||||
\(584\) | −7.91654 | −0.327589 | ||||||||
\(585\) | 9.55387 | − | 5.96029i | 0.395004 | − | 0.246428i | ||||
\(586\) | 13.8147 | 0.570678 | ||||||||
\(587\) | −9.95343 | + | 3.62275i | −0.410822 | + | 0.149527i | −0.539160 | − | 0.842203i | \(-0.681258\pi\) |
0.128338 | + | 0.991731i | \(0.459036\pi\) | |||||||
\(588\) | 12.1163 | − | 0.441357i | 0.499669 | − | 0.0182012i | ||||
\(589\) | −23.6976 | + | 19.8846i | −0.976441 | + | 0.819331i | ||||
\(590\) | −3.13698 | − | 17.7907i | −0.129148 | − | 0.732433i | ||||
\(591\) | 1.12430 | − | 0.816229i | 0.0462475 | − | 0.0335752i | ||||
\(592\) | −7.58197 | − | 6.36203i | −0.311617 | − | 0.261478i | ||||
\(593\) | −18.5963 | − | 32.2097i | −0.763659 | − | 1.32270i | −0.940953 | − | 0.338538i | \(-0.890068\pi\) |
0.177294 | − | 0.984158i | \(-0.443266\pi\) | |||||||
\(594\) | −11.9711 | − | 7.49847i | −0.491178 | − | 0.307666i | ||||
\(595\) | 14.2244 | − | 27.9814i | 0.583142 | − | 1.14713i | ||||
\(596\) | −1.35410 | + | 7.67948i | −0.0554661 | + | 0.314564i | ||||
\(597\) | 3.78019 | + | 1.68469i | 0.154713 | + | 0.0689499i | ||||
\(598\) | 4.53098 | − | 3.80195i | 0.185286 | − | 0.155473i | ||||
\(599\) | −0.116253 | − | 0.659303i | −0.00474996 | − | 0.0269384i | 0.982341 | − | 0.187101i | \(-0.0599092\pi\) |
−0.987091 | + | 0.160163i | \(0.948798\pi\) | |||||||
\(600\) | −3.85108 | − | 0.270697i | −0.157220 | − | 0.0110512i | ||||
\(601\) | 13.9237 | − | 5.06783i | 0.567962 | − | 0.206721i | −0.0420474 | − | 0.999116i | \(-0.513388\pi\) |
0.610009 | + | 0.792395i | \(0.291166\pi\) | |||||||
\(602\) | 1.49077 | − | 2.93256i | 0.0607592 | − | 0.119522i | ||||
\(603\) | 1.16655 | + | 2.89335i | 0.0475055 | + | 0.117826i | ||||
\(604\) | −8.40117 | + | 14.5513i | −0.341839 | + | 0.592082i | ||||
\(605\) | −5.64683 | + | 2.05528i | −0.229576 | + | 0.0835589i | ||||
\(606\) | −1.99106 | + | 7.97340i | −0.0808814 | + | 0.323897i | ||||
\(607\) | 22.3242 | − | 18.7323i | 0.906113 | − | 0.760319i | −0.0652628 | − | 0.997868i | \(-0.520789\pi\) |
0.971375 | + | 0.237549i | \(0.0763441\pi\) | |||||||
\(608\) | −0.613331 | − | 3.47837i | −0.0248739 | − | 0.141067i | ||||
\(609\) | 30.3085 | + | 26.3164i | 1.22816 | + | 1.06640i | ||||
\(610\) | 12.0404 | + | 10.1031i | 0.487503 | + | 0.409064i | ||||
\(611\) | 0.680201 | − | 1.17814i | 0.0275180 | − | 0.0476626i | ||||
\(612\) | 21.1708 | + | 2.99103i | 0.855780 | + | 0.120905i | ||||
\(613\) | −21.1099 | − | 36.5635i | −0.852622 | − | 1.47679i | −0.878833 | − | 0.477129i | \(-0.841678\pi\) |
0.0262110 | − | 0.999656i | \(-0.491656\pi\) | |||||||
\(614\) | 3.84738 | + | 3.22833i | 0.155268 | + | 0.130285i | ||||
\(615\) | 8.91812 | − | 13.2113i | 0.359613 | − | 0.532732i | ||||
\(616\) | −6.88010 | − | 2.09644i | −0.277207 | − | 0.0844679i | ||||
\(617\) | −18.0926 | − | 6.58518i | −0.728382 | − | 0.265109i | −0.0489024 | − | 0.998804i | \(-0.515572\pi\) |
−0.679480 | + | 0.733694i | \(0.737795\pi\) | |||||||
\(618\) | 22.2482 | + | 9.91520i | 0.894953 | + | 0.398848i | ||||
\(619\) | −17.8850 | − | 15.0073i | −0.718858 | − | 0.603193i | 0.208211 | − | 0.978084i | \(-0.433236\pi\) |
−0.927069 | + | 0.374891i | \(0.877680\pi\) | |||||||
\(620\) | 7.28988 | − | 12.6264i | 0.292769 | − | 0.507090i | ||||
\(621\) | −12.0418 | + | 6.38593i | −0.483220 | + | 0.256259i | ||||
\(622\) | −19.4862 | −0.781324 | ||||||||
\(623\) | −2.20212 | + | 18.0743i | −0.0882261 | + | 0.724131i | ||||
\(624\) | 3.56727 | + | 1.58980i | 0.142805 | + | 0.0636430i | ||||
\(625\) | −1.54329 | − | 8.75243i | −0.0617316 | − | 0.350097i | ||||
\(626\) | −0.629073 | − | 3.56765i | −0.0251428 | − | 0.142592i | ||||
\(627\) | −16.5898 | − | 1.16612i | −0.662532 | − | 0.0465703i | ||||
\(628\) | 7.82862 | + | 6.56899i | 0.312396 | + | 0.262131i | ||||
\(629\) | 35.2701 | − | 61.0896i | 1.40631 | − | 2.43580i | ||||
\(630\) | −10.8217 | + | 7.58082i | −0.431149 | + | 0.302027i | ||||
\(631\) | 22.7548 | + | 39.4125i | 0.905854 | + | 1.56898i | 0.819767 | + | 0.572697i | \(0.194103\pi\) |
0.0860870 | + | 0.996288i | \(0.472564\pi\) | |||||||
\(632\) | 0.137551 | − | 0.780088i | 0.00547147 | − | 0.0310302i | ||||
\(633\) | −17.3075 | + | 4.95607i | −0.687913 | + | 0.196986i | ||||
\(634\) | 31.3392 | + | 11.4065i | 1.24464 | + | 0.453011i | ||||
\(635\) | 12.5458 | − | 10.5272i | 0.497866 | − | 0.417759i | ||||
\(636\) | 1.86448 | − | 7.46649i | 0.0739315 | − | 0.296066i | ||||
\(637\) | −1.07163 | + | 15.7474i | −0.0424596 | + | 0.623936i | ||||
\(638\) | −11.9057 | − | 20.6213i | −0.471352 | − | 0.816405i | ||||
\(639\) | 0.903829 | − | 2.77485i | 0.0357549 | − | 0.109771i | ||||
\(640\) | 0.832330 | + | 1.44164i | 0.0329007 | + | 0.0569858i | ||||
\(641\) | −3.99011 | + | 22.6290i | −0.157600 | + | 0.893793i | 0.798770 | + | 0.601636i | \(0.205484\pi\) |
−0.956370 | + | 0.292157i | \(0.905627\pi\) | |||||||
\(642\) | −9.14182 | − | 18.7608i | −0.360799 | − | 0.740428i | ||||
\(643\) | −18.5835 | + | 15.5934i | −0.732862 | + | 0.614944i | −0.930910 | − | 0.365248i | \(-0.880984\pi\) |
0.198048 | + | 0.980192i | \(0.436540\pi\) | |||||||
\(644\) | −5.07132 | + | 4.73794i | −0.199838 | + | 0.186701i | ||||
\(645\) | 0.373448 | + | 3.56556i | 0.0147045 | + | 0.140394i | ||||
\(646\) | 23.6548 | − | 8.60963i | 0.930685 | − | 0.338741i | ||||
\(647\) | −12.9724 | + | 22.4688i | −0.509996 | + | 0.883339i | 0.489937 | + | 0.871758i | \(0.337020\pi\) |
−0.999933 | + | 0.0115809i | \(0.996314\pi\) | |||||||
\(648\) | −7.27347 | − | 5.30063i | −0.285729 | − | 0.208228i | ||||
\(649\) | −14.7507 | − | 25.5489i | −0.579015 | − | 1.00288i | ||||
\(650\) | 0.872725 | − | 4.94947i | 0.0342311 | − | 0.194134i | ||||
\(651\) | 6.30128 | + | 39.6383i | 0.246967 | + | 1.55355i | ||||
\(652\) | 18.3062 | + | 6.66290i | 0.716925 | + | 0.260939i | ||||
\(653\) | −33.1582 | − | 12.0686i | −1.29758 | − | 0.472281i | −0.401372 | − | 0.915915i | \(-0.631467\pi\) |
−0.896208 | + | 0.443634i | \(0.853689\pi\) | |||||||
\(654\) | −0.956471 | + | 1.41692i | −0.0374010 | + | 0.0554059i | ||||
\(655\) | −6.39103 | + | 36.2453i | −0.249718 | + | 1.41622i | ||||
\(656\) | 5.52831 | 0.215844 | ||||||||
\(657\) | −7.35542 | + | 22.5819i | −0.286962 | + | 0.881004i | ||||
\(658\) | −0.723355 | + | 1.42295i | −0.0281993 | + | 0.0554722i | ||||
\(659\) | 35.1799 | + | 29.5194i | 1.37041 | + | 1.14991i | 0.972610 | + | 0.232442i | \(0.0746716\pi\) |
0.397803 | + | 0.917471i | \(0.369773\pi\) | |||||||
\(660\) | 7.53527 | − | 2.15775i | 0.293310 | − | 0.0839901i | ||||
\(661\) | −8.01271 | − | 2.91639i | −0.311658 | − | 0.113434i | 0.181455 | − | 0.983399i | \(-0.441919\pi\) |
−0.493114 | + | 0.869965i | \(0.664141\pi\) | |||||||
\(662\) | 3.34155 | + | 1.21622i | 0.129873 | + | 0.0472699i | ||||
\(663\) | −6.74358 | + | 27.0053i | −0.261899 | + | 1.04880i | ||||
\(664\) | 6.77491 | + | 5.68482i | 0.262917 | + | 0.220614i | ||||
\(665\) | −7.04936 | + | 13.8671i | −0.273362 | + | 0.537744i | ||||
\(666\) | −25.1922 | + | 15.7165i | −0.976179 | + | 0.609000i | ||||
\(667\) | −22.9765 | −0.889652 | ||||||||
\(668\) | 3.10420 | − | 17.6048i | 0.120105 | − | 0.681150i | ||||
\(669\) | 4.40048 | + | 0.309316i | 0.170133 | + | 0.0119588i | ||||
\(670\) | −1.62666 | − | 0.592057i | −0.0628435 | − | 0.0228732i | ||||
\(671\) | 24.1198 | + | 8.77890i | 0.931136 | + | 0.338906i | ||||
\(672\) | −4.27914 | − | 1.63981i | −0.165071 | − | 0.0632569i | ||||
\(673\) | 7.67594 | − | 43.5324i | 0.295886 | − | 1.67805i | −0.367695 | − | 0.929947i | \(-0.619853\pi\) |
0.663580 | − | 0.748105i | \(-0.269036\pi\) | |||||||
\(674\) | 17.9482 | + | 31.0871i | 0.691338 | + | 1.19743i | ||||
\(675\) | −4.35028 | + | 10.7337i | −0.167442 | + | 0.413139i | ||||
\(676\) | 3.95785 | − | 6.85521i | 0.152225 | − | 0.263662i | ||||
\(677\) | 21.9242 | − | 7.97975i | 0.842615 | − | 0.306687i | 0.115589 | − | 0.993297i | \(-0.463124\pi\) |
0.727026 | + | 0.686610i | \(0.240902\pi\) | |||||||
\(678\) | −9.59034 | + | 6.96248i | −0.368315 | + | 0.267392i | ||||
\(679\) | 32.9177 | − | 30.7538i | 1.26327 | − | 1.18022i | ||||
\(680\) | −9.08841 | + | 7.62608i | −0.348525 | + | 0.292447i | ||||
\(681\) | −12.3688 | − | 0.869417i | −0.473972 | − | 0.0333161i | ||||
\(682\) | 4.13448 | − | 23.4478i | 0.158317 | − | 0.897862i | ||||
\(683\) | 11.4740 | + | 19.8735i | 0.439040 | + | 0.760439i | 0.997616 | − | 0.0690144i | \(-0.0219854\pi\) |
−0.558576 | + | 0.829453i | \(0.688652\pi\) | |||||||
\(684\) | −10.4919 | − | 1.48230i | −0.401168 | − | 0.0566773i | ||||
\(685\) | −3.78837 | − | 6.56164i | −0.144746 | − | 0.250708i | ||||
\(686\) | 0.271373 | − | 18.5183i | 0.0103611 | − | 0.707031i | ||||
\(687\) | −21.7028 | + | 6.21466i | −0.828014 | + | 0.237104i | ||||
\(688\) | −0.952500 | + | 0.799242i | −0.0363137 | + | 0.0304708i | ||||
\(689\) | 9.41439 | + | 3.42656i | 0.358660 | + | 0.130541i | ||||
\(690\) | 1.83238 | − | 7.33794i | 0.0697576 | − | 0.279351i | ||||
\(691\) | −2.98381 | + | 16.9220i | −0.113509 | + | 0.643743i | 0.873968 | + | 0.485983i | \(0.161538\pi\) |
−0.987477 | + | 0.157760i | \(0.949573\pi\) | |||||||
\(692\) | −0.678813 | − | 1.17574i | −0.0258046 | − | 0.0446949i | ||||
\(693\) | −12.3725 | + | 17.6776i | −0.469993 | + | 0.671517i | ||||
\(694\) | 7.70239 | − | 13.3409i | 0.292379 | − | 0.506415i | ||||
\(695\) | 13.4672 | + | 11.3004i | 0.510842 | + | 0.428647i | ||||
\(696\) | −6.64568 | − | 13.6382i | −0.251904 | − | 0.516955i | ||||
\(697\) | 6.84180 | + | 38.8018i | 0.259152 | + | 1.46972i | ||||
\(698\) | −3.89158 | − | 22.0703i | −0.147299 | − | 0.835372i | ||||
\(699\) | 24.6233 | − | 17.8762i | 0.931338 | − | 0.676141i | ||||
\(700\) | −0.713216 | + | 5.85384i | −0.0269570 | + | 0.221254i | ||||
\(701\) | 24.0297 | 0.907588 | 0.453794 | − | 0.891107i | \(-0.350070\pi\) | ||||
0.453794 | + | 0.891107i | \(0.350070\pi\) | |||||||
\(702\) | 7.84932 | − | 8.69850i | 0.296254 | − | 0.328304i | ||||
\(703\) | −17.4793 | + | 30.2750i | −0.659243 | + | 1.14184i | ||||
\(704\) | 2.08247 | + | 1.74740i | 0.0784862 | + | 0.0658577i | ||||
\(705\) | −0.181206 | − | 1.73009i | −0.00682460 | − | 0.0651591i | ||||
\(706\) | −4.82607 | − | 1.75655i | −0.181632 | − | 0.0661085i | ||||
\(707\) | 12.0084 | + | 3.65910i | 0.451624 | + | 0.137615i | ||||
\(708\) | −8.23372 | − | 16.8972i | −0.309442 | − | 0.635035i | ||||
\(709\) | 5.97148 | + | 5.01067i | 0.224264 | + | 0.188179i | 0.747996 | − | 0.663703i | \(-0.231016\pi\) |
−0.523732 | + | 0.851883i | \(0.675461\pi\) | |||||||
\(710\) | 0.809673 | + | 1.40239i | 0.0303865 | + | 0.0526309i | ||||
\(711\) | −2.09740 | − | 1.11716i | −0.0786585 | − | 0.0418967i | ||||
\(712\) | 3.44098 | − | 5.95995i | 0.128956 | − | 0.223358i | ||||
\(713\) | −17.5996 | − | 14.7678i | −0.659109 | − | 0.553058i | ||||
\(714\) | 6.21355 | − | 32.0636i | 0.232536 | − | 1.19995i | ||||
\(715\) | 1.77189 | + | 10.0489i | 0.0662649 | + | 0.375807i | ||||
\(716\) | 7.36091 | − | 6.17653i | 0.275090 | − | 0.230828i | ||||
\(717\) | 0.267452 | + | 0.258463i | 0.00998817 | + | 0.00965247i | ||||
\(718\) | −31.6452 | + | 11.5179i | −1.18099 | + | 0.429845i | ||||
\(719\) | 0.526726 | − | 0.912316i | 0.0196436 | − | 0.0340237i | −0.856037 | − | 0.516915i | \(-0.827080\pi\) |
0.875680 | + | 0.482892i | \(0.160414\pi\) | |||||||
\(720\) | 4.88560 | − | 1.03476i | 0.182076 | − | 0.0385633i | ||||
\(721\) | 16.8606 | − | 33.1673i | 0.627922 | − | 1.23521i | ||||
\(722\) | 6.13125 | − | 2.23159i | 0.228182 | − | 0.0830513i | ||||
\(723\) | 4.87395 | + | 10.0023i | 0.181264 | + | 0.371989i | ||||
\(724\) | 0.965778 | + | 5.47720i | 0.0358929 | + | 0.203559i | ||||
\(725\) | −14.9557 | + | 12.5493i | −0.555439 | + | 0.466069i | ||||
\(726\) | −5.05971 | + | 3.67329i | −0.187784 | + | 0.136329i | ||||
\(727\) | 3.77605 | − | 21.4150i | 0.140046 | − | 0.794239i | −0.831166 | − | 0.556024i | \(-0.812326\pi\) |
0.971212 | − | 0.238216i | \(-0.0765625\pi\) | |||||||
\(728\) | 2.70343 | − | 5.31804i | 0.100196 | − | 0.197100i | ||||
\(729\) | −21.8779 | + | 15.8226i | −0.810294 | + | 0.586023i | ||||
\(730\) | −6.58918 | − | 11.4128i | −0.243876 | − | 0.422406i | ||||
\(731\) | −6.78849 | − | 5.69622i | −0.251081 | − | 0.210682i | ||||
\(732\) | 14.9377 | + | 6.65718i | 0.552113 | + | 0.246057i | ||||
\(733\) | −8.85859 | − | 50.2395i | −0.327199 | − | 1.85564i | −0.493746 | − | 0.869606i | \(-0.664373\pi\) |
0.166547 | − | 0.986034i | \(-0.446738\pi\) | |||||||
\(734\) | −5.48012 | + | 4.59836i | −0.202275 | + | 0.169729i | ||||
\(735\) | 10.7211 | + | 17.1000i | 0.395452 | + | 0.630743i | ||||
\(736\) | 2.46496 | − | 0.897170i | 0.0908595 | − | 0.0330701i | ||||
\(737\) | −2.82691 | −0.104131 | ||||||||
\(738\) | 5.13646 | − | 15.7695i | 0.189076 | − | 0.580482i | ||||
\(739\) | 38.5670 | 1.41871 | 0.709355 | − | 0.704851i | \(-0.248986\pi\) | ||||
0.709355 | + | 0.704851i | \(0.248986\pi\) | |||||||
\(740\) | 2.86104 | − | 16.2258i | 0.105174 | − | 0.596471i | ||||
\(741\) | 3.34201 | − | 13.3834i | 0.122772 | − | 0.491650i | ||||
\(742\) | −11.2450 | − | 3.42647i | −0.412817 | − | 0.125790i | ||||
\(743\) | 1.59146 | + | 9.02561i | 0.0583849 | + | 0.331117i | 0.999984 | − | 0.00561810i | \(-0.00178831\pi\) |
−0.941599 | + | 0.336735i | \(0.890677\pi\) | |||||||
\(744\) | 3.67529 | − | 14.7181i | 0.134743 | − | 0.539590i | ||||
\(745\) | −12.1981 | + | 4.43974i | −0.446903 | + | 0.162660i | ||||
\(746\) | 15.3726 | 0.562830 | ||||||||
\(747\) | 22.5106 | − | 14.0435i | 0.823621 | − | 0.513825i | ||||
\(748\) | −9.68732 | + | 16.7789i | −0.354204 | + | 0.613499i | ||||
\(749\) | −29.3330 | + | 12.4834i | −1.07180 | + | 0.456134i | ||||
\(750\) | −9.13014 | − | 18.7368i | −0.333386 | − | 0.684172i | ||||
\(751\) | −4.43913 | − | 1.61571i | −0.161986 | − | 0.0589581i | 0.259754 | − | 0.965675i | \(-0.416358\pi\) |
−0.421740 | + | 0.906717i | \(0.638581\pi\) | |||||||
\(752\) | 0.462175 | − | 0.387811i | 0.0168538 | − | 0.0141420i | ||||
\(753\) | 24.6355 | − | 17.8851i | 0.897767 | − | 0.651768i | ||||
\(754\) | 18.5593 | − | 6.75502i | 0.675889 | − | 0.246003i | ||||
\(755\) | −27.9702 | −1.01794 | ||||||||
\(756\) | −8.65338 | + | 10.6827i | −0.314720 | + | 0.388524i | ||||
\(757\) | −7.23189 | −0.262848 | −0.131424 | − | 0.991326i | \(-0.541955\pi\) | ||||
−0.131424 | + | 0.991326i | \(0.541955\pi\) | |||||||
\(758\) | 0.550971 | − | 0.200537i | 0.0200122 | − | 0.00728383i | ||||
\(759\) | −1.28660 | − | 12.2840i | −0.0467005 | − | 0.445882i | ||||
\(760\) | 4.50406 | − | 3.77936i | 0.163380 | − | 0.137092i | ||||
\(761\) | −17.2962 | − | 6.29531i | −0.626988 | − | 0.228205i | 0.00893183 | − | 0.999960i | \(-0.497157\pi\) |
−0.635920 | + | 0.771755i | \(0.719379\pi\) | |||||||
\(762\) | 9.53401 | − | 14.1237i | 0.345381 | − | 0.511648i | ||||
\(763\) | 2.08698 | + | 1.56960i | 0.0755539 | + | 0.0568234i | ||||
\(764\) | −8.49157 | + | 14.7078i | −0.307214 | + | 0.532110i | ||||
\(765\) | 13.3091 | + | 33.0102i | 0.481193 | + | 1.19349i | ||||
\(766\) | −6.13529 | −0.221677 | ||||||||
\(767\) | 22.9942 | − | 8.36919i | 0.830271 | − | 0.302194i | ||||
\(768\) | 1.24550 | + | 1.20364i | 0.0449430 | + | 0.0434325i | ||||
\(769\) | −0.489316 | − | 2.77505i | −0.0176452 | − | 0.100071i | 0.974713 | − | 0.223459i | \(-0.0717350\pi\) |
−0.992358 | + | 0.123388i | \(0.960624\pi\) | |||||||
\(770\) | −2.70421 | − | 11.6635i | −0.0974530 | − | 0.420325i | ||||
\(771\) | 27.3346 | − | 7.82735i | 0.984432 | − | 0.281895i | ||||
\(772\) | 3.86587 | − | 21.9244i | 0.139136 | − | 0.789078i | ||||
\(773\) | 16.6703 | 0.599589 | 0.299795 | − | 0.954004i | \(-0.403082\pi\) | ||||
0.299795 | + | 0.954004i | \(0.403082\pi\) | |||||||
\(774\) | 1.39485 | + | 3.45959i | 0.0501368 | + | 0.124353i | ||||
\(775\) | −19.5217 | −0.701239 | ||||||||
\(776\) | −15.9999 | + | 5.82349i | −0.574363 | + | 0.209051i | ||||
\(777\) | 22.0118 | + | 39.6570i | 0.789670 | + | 1.42269i | ||||
\(778\) | −17.2514 | + | 14.4757i | −0.618494 | + | 0.518978i | ||||
\(779\) | −3.39068 | − | 19.2295i | −0.121484 | − | 0.688969i | ||||
\(780\) | 0.677227 | + | 6.46595i | 0.0242486 | + | 0.231518i | ||||
\(781\) | 2.02579 | + | 1.69984i | 0.0724883 | + | 0.0608249i | ||||
\(782\) | 9.34763 | + | 16.1906i | 0.334270 | + | 0.578973i | ||||
\(783\) | −45.0776 | + | 6.28523i | −1.61094 | + | 0.224616i | ||||
\(784\) | −2.83521 | + | 6.40012i | −0.101258 | + | 0.228576i | ||||
\(785\) | −2.95411 | + | 16.7536i | −0.105437 | + | 0.597962i | ||||
\(786\) | 3.98904 | + | 38.0861i | 0.142284 | + | 1.35849i | ||||
\(787\) | 26.2083 | − | 21.9913i | 0.934223 | − | 0.783907i | −0.0423474 | − | 0.999103i | \(-0.513484\pi\) |
0.976571 | + | 0.215196i | \(0.0690392\pi\) | |||||||
\(788\) | 0.139290 | + | 0.789952i | 0.00496200 | + | 0.0281409i | ||||
\(789\) | 20.4352 | − | 30.2727i | 0.727511 | − | 1.07774i | ||||
\(790\) | 1.23909 | − | 0.450993i | 0.0440849 | − | 0.0160456i | ||||
\(791\) | 9.87376 | + | 15.1732i | 0.351071 | + | 0.539498i | ||||
\(792\) | 6.91933 | − | 4.31670i | 0.245868 | − | 0.153387i | ||||
\(793\) | −10.6451 | + | 18.4378i | −0.378017 | + | 0.654745i | ||||
\(794\) | −17.7200 | + | 6.44955i | −0.628859 | + | 0.228886i | ||||
\(795\) | 12.3158 | − | 3.52668i | 0.436798 | − | 0.125078i | ||||
\(796\) | −1.83040 | + | 1.53589i | −0.0648770 | + | 0.0544382i | ||||
\(797\) | 7.85355 | + | 44.5397i | 0.278187 | + | 1.57768i | 0.728653 | + | 0.684883i | \(0.240147\pi\) |
−0.450466 | + | 0.892794i | \(0.648742\pi\) | |||||||
\(798\) | −3.07933 | + | 15.8902i | −0.109007 | + | 0.562507i | ||||
\(799\) | 3.29393 | + | 2.76394i | 0.116531 | + | 0.0977810i | ||||
\(800\) | 1.11445 | − | 1.93029i | 0.0394019 | − | 0.0682460i | ||||
\(801\) | −13.8036 | − | 15.3529i | −0.487728 | − | 0.542467i | ||||
\(802\) | −11.9855 | − | 20.7595i | −0.423223 | − | 0.733044i | ||||
\(803\) | −16.4860 | − | 13.8334i | −0.581778 | − | 0.488170i | ||||
\(804\) | −1.79670 | − | 0.126293i | −0.0633649 | − | 0.00445400i | ||||
\(805\) | −11.0514 | − | 3.36748i | −0.389511 | − | 0.118688i | ||||
\(806\) | 18.5578 | + | 6.75448i | 0.653670 | + | 0.237916i | ||||
\(807\) | −11.3975 | + | 8.27449i | −0.401213 | + | 0.291276i | ||||
\(808\) | −3.63473 | − | 3.04990i | −0.127869 | − | 0.107295i | ||||
\(809\) | −1.08096 | + | 1.87227i | −0.0380044 | + | 0.0658255i | −0.884402 | − | 0.466726i | \(-0.845433\pi\) |
0.846398 | + | 0.532552i | \(0.178767\pi\) | |||||||
\(810\) | 1.58766 | − | 14.8976i | 0.0557846 | − | 0.523448i | ||||
\(811\) | −18.4044 | −0.646264 | −0.323132 | − | 0.946354i | \(-0.604736\pi\) | ||||
−0.323132 | + | 0.946354i | \(0.604736\pi\) | |||||||
\(812\) | −21.3237 | + | 9.07487i | −0.748315 | + | 0.318466i | ||||
\(813\) | −0.100528 | − | 0.959810i | −0.00352567 | − | 0.0336620i | ||||
\(814\) | −4.67223 | − | 26.4975i | −0.163762 | − | 0.928738i | ||||
\(815\) | 5.63129 | + | 31.9366i | 0.197255 | + | 1.11869i | ||||
\(816\) | −6.90659 | + | 10.2314i | −0.241779 | + | 0.358172i | ||||
\(817\) | 3.36426 | + | 2.82295i | 0.117701 | + | 0.0987625i | ||||
\(818\) | −10.9800 | + | 19.0180i | −0.383908 | + | 0.664949i | ||||
\(819\) | −12.6579 | − | 12.6526i | −0.442302 | − | 0.442118i | ||||
\(820\) | 4.60138 | + | 7.96982i | 0.160687 | + | 0.278318i | ||||
\(821\) | −4.38936 | + | 24.8933i | −0.153190 | + | 0.868783i | 0.807232 | + | 0.590234i | \(0.200965\pi\) |
−0.960422 | + | 0.278549i | \(0.910147\pi\) | |||||||
\(822\) | −5.66890 | − | 5.47837i | −0.197726 | − | 0.191080i | ||||
\(823\) | −21.0695 | − | 7.66866i | −0.734436 | − | 0.267313i | −0.0523944 | − | 0.998626i | \(-0.516685\pi\) |
−0.682041 | + | 0.731314i | \(0.738908\pi\) | |||||||
\(824\) | −10.7728 | + | 9.03944i | −0.375288 | + | 0.314904i | ||||
\(825\) | −7.54675 | − | 7.29310i | −0.262744 | − | 0.253913i | ||||
\(826\) | −26.4192 | + | 11.2434i | −0.919241 | + | 0.391208i | ||||
\(827\) | 27.1071 | + | 46.9508i | 0.942605 | + | 1.63264i | 0.760477 | + | 0.649365i | \(0.224965\pi\) |
0.182128 | + | 0.983275i | \(0.441701\pi\) | |||||||
\(828\) | −0.268934 | − | 7.86486i | −0.00934611 | − | 0.273323i | ||||
\(829\) | 23.4220 | + | 40.5680i | 0.813478 | + | 1.40899i | 0.910415 | + | 0.413695i | \(0.135762\pi\) |
−0.0969369 | + | 0.995291i | \(0.530905\pi\) | |||||||
\(830\) | −2.55650 | + | 14.4986i | −0.0887373 | + | 0.503254i | ||||
\(831\) | 27.8948 | − | 41.3234i | 0.967660 | − | 1.43349i | ||||
\(832\) | −1.72731 | + | 1.44938i | −0.0598835 | + | 0.0502483i | ||||
\(833\) | −48.4297 | − | 11.9789i | −1.67799 | − | 0.415044i | ||||
\(834\) | 16.7078 | + | 7.44607i | 0.578545 | + | 0.257836i | ||||
\(835\) | 27.9635 | − | 10.1779i | 0.967716 | − | 0.352220i | ||||
\(836\) | 4.80088 | − | 8.31536i | 0.166042 | − | 0.287593i | ||||
\(837\) | −38.5684 | − | 24.1586i | −1.33312 | − | 0.835044i | ||||
\(838\) | 5.07175 | + | 8.78454i | 0.175201 | + | 0.303457i | ||||
\(839\) | −2.54980 | + | 14.4606i | −0.0880289 | + | 0.499237i | 0.908633 | + | 0.417596i | \(0.137127\pi\) |
−0.996662 | + | 0.0816409i | \(0.973984\pi\) | |||||||
\(840\) | −1.19765 | − | 7.53383i | −0.0413228 | − | 0.259942i | ||||
\(841\) | −44.8440 | − | 16.3219i | −1.54634 | − | 0.562823i | ||||
\(842\) | 15.0334 | + | 5.47171i | 0.518085 | + | 0.188568i | ||||
\(843\) | 1.86914 | + | 3.83584i | 0.0643767 | + | 0.132113i | ||||
\(844\) | 1.80492 | − | 10.2362i | 0.0621280 | − | 0.352345i | ||||
\(845\) | 13.1770 | 0.453301 | ||||||||
\(846\) | −0.676813 | − | 1.67868i | −0.0232693 | − | 0.0577140i | ||||
\(847\) | 5.20924 | + | 8.00516i | 0.178992 | + | 0.275061i | ||||
\(848\) | 3.40365 | + | 2.85600i | 0.116882 | + | 0.0980755i | ||||
\(849\) | 27.7018 | + | 26.7707i | 0.950722 | + | 0.918768i | ||||
\(850\) | 14.9275 | + | 5.43315i | 0.512007 | + | 0.186355i | ||||
\(851\) | −24.3971 | − | 8.87980i | −0.836320 | − | 0.304396i | ||||
\(852\) | 1.21159 | + | 1.17087i | 0.0415085 | + | 0.0401134i | ||||
\(853\) | 24.2543 | + | 20.3518i | 0.830453 | + | 0.696833i | 0.955395 | − | 0.295331i | \(-0.0954300\pi\) |
−0.124942 | + | 0.992164i | \(0.539874\pi\) | |||||||
\(854\) | 11.3204 | − | 22.2689i | 0.387376 | − | 0.762027i | ||||
\(855\) | −6.59578 | − | 16.3593i | −0.225571 | − | 0.559476i | ||||
\(856\) | 12.0491 | 0.411828 | ||||||||
\(857\) | 1.41747 | − | 8.03885i | 0.0484197 | − | 0.274602i | −0.950980 | − | 0.309253i | \(-0.899921\pi\) |
0.999399 | + | 0.0346513i | \(0.0110321\pi\) | |||||||
\(858\) | 4.65072 | + | 9.54418i | 0.158773 | + | 0.325833i | ||||
\(859\) | 20.6121 | + | 7.50220i | 0.703277 | + | 0.255972i | 0.668809 | − | 0.743434i | \(-0.266804\pi\) |
0.0344674 | + | 0.999406i | \(0.489027\pi\) | |||||||
\(860\) | −1.94501 | − | 0.707926i | −0.0663244 | − | 0.0241401i | ||||
\(861\) | −23.6564 | − | 9.06536i | −0.806208 | − | 0.308947i | ||||
\(862\) | −3.53876 | + | 20.0693i | −0.120531 | + | 0.683563i | ||||
\(863\) | 11.5793 | + | 20.0560i | 0.394165 | + | 0.682714i | 0.992994 | − | 0.118163i | \(-0.0377004\pi\) |
−0.598829 | + | 0.800877i | \(0.704367\pi\) | |||||||
\(864\) | 4.59058 | − | 2.43445i | 0.156175 | − | 0.0828217i | ||||
\(865\) | 1.12999 | − | 1.95720i | 0.0384209 | − | 0.0665470i | ||||
\(866\) | −8.84300 | + | 3.21859i | −0.300498 | + | 0.109372i | ||||
\(867\) | −53.4646 | − | 23.8272i | −1.81575 | − | 0.809214i | ||||
\(868\) | −22.1663 | − | 6.75431i | −0.752374 | − | 0.229256i | ||||
\(869\) | 1.64957 | − | 1.38416i | 0.0559580 | − | 0.0469543i | ||||
\(870\) | 14.1300 | − | 20.9322i | 0.479051 | − | 0.709667i | ||||
\(871\) | 0.407166 | − | 2.30915i | 0.0137963 | − | 0.0782427i | ||||
\(872\) | −0.493499 | − | 0.854765i | −0.0167120 | − | 0.0289460i | ||||
\(873\) | 1.74564 | + | 51.0504i | 0.0590809 | + | 1.72779i | ||||
\(874\) | −4.63253 | − | 8.02377i | −0.156698 | − | 0.271408i | ||||
\(875\) | −29.2955 | + | 12.4675i | −0.990369 | + | 0.421478i | ||||
\(876\) | −9.86003 | − | 9.52863i | −0.333139 | − | 0.321943i | ||||
\(877\) | −19.7885 | + | 16.6045i | −0.668211 | + | 0.560696i | −0.912535 | − | 0.408998i | \(-0.865878\pi\) |
0.244324 | + | 0.969694i | \(0.421434\pi\) | |||||||
\(878\) | −7.35206 | − | 2.67593i | −0.248120 | − | 0.0903083i | ||||
\(879\) | 17.2061 | + | 16.6278i | 0.580347 | + | 0.560842i | ||||
\(880\) | −0.785817 | + | 4.45659i | −0.0264899 | + | 0.150232i | ||||
\(881\) | −2.02126 | − | 3.50093i | −0.0680981 | − | 0.117949i | 0.829966 | − | 0.557814i | \(-0.188360\pi\) |
−0.898064 | + | 0.439865i | \(0.855026\pi\) | |||||||
\(882\) | 15.6221 | + | 14.0339i | 0.526022 | + | 0.472547i | ||||
\(883\) | −22.8257 | + | 39.5352i | −0.768145 | + | 1.33047i | 0.170423 | + | 0.985371i | \(0.445487\pi\) |
−0.938568 | + | 0.345095i | \(0.887847\pi\) | |||||||
\(884\) | −12.3105 | − | 10.3298i | −0.414048 | − | 0.347428i | ||||
\(885\) | 17.5064 | − | 25.9341i | 0.588473 | − | 0.871764i | ||||
\(886\) | 2.97748 | + | 16.8861i | 0.100030 | + | 0.567301i | ||||
\(887\) | −3.13730 | − | 17.7925i | −0.105340 | − | 0.597414i | −0.991084 | − | 0.133239i | \(-0.957462\pi\) |
0.885744 | − | 0.464175i | \(-0.153649\pi\) | |||||||
\(888\) | −1.78576 | − | 17.0498i | −0.0599260 | − | 0.572154i | ||||
\(889\) | −20.8028 | − | 15.6456i | −0.697705 | − | 0.524738i | ||||
\(890\) | 11.4561 | 0.384010 | ||||||||
\(891\) | −5.88448 | − | 23.7481i | −0.197138 | − | 0.795591i | ||||
\(892\) | −1.27344 | + | 2.20567i | −0.0426381 | + | 0.0738513i | ||||
\(893\) | −1.63242 | − | 1.36976i | −0.0546268 | − | 0.0458373i | ||||
\(894\) | −10.9298 | + | 7.93492i | −0.365548 | + | 0.265384i | ||||
\(895\) | 15.0310 | + | 5.47085i | 0.502432 | + | 0.182870i | ||||
\(896\) | 1.93330 | − | 1.80620i | 0.0645869 | − | 0.0603410i | ||||
\(897\) | 10.2195 | + | 0.718341i | 0.341219 | + | 0.0239847i | ||||
\(898\) | −15.2937 | − | 12.8329i | −0.510356 | − | 0.428240i | ||||
\(899\) | −38.3579 | − | 66.4378i | −1.27931 | − | 2.21583i | ||||
\(900\) | −4.47068 | − | 4.97244i | −0.149023 | − | 0.165748i | ||||
\(901\) | −15.8332 | + | 27.4239i | −0.527481 | + | 0.913624i | ||||
\(902\) | 11.5126 | + | 9.66018i | 0.383326 | + | 0.321649i | ||||
\(903\) | 5.38648 | − | 1.85815i | 0.179251 | − | 0.0618355i | ||||
\(904\) | −1.18815 | − | 6.73834i | −0.0395173 | − | 0.224114i | ||||
\(905\) | −7.09230 | + | 5.95114i | −0.235756 | + | 0.197823i | ||||
\(906\) | −27.9780 | + | 8.01159i | −0.929508 | + | 0.266167i | ||||
\(907\) | −5.59732 | + | 2.03726i | −0.185856 | + | 0.0676461i | −0.433272 | − | 0.901263i | \(-0.642641\pi\) |
0.247416 | + | 0.968909i | \(0.420419\pi\) | |||||||
\(908\) | 3.57937 | − | 6.19964i | 0.118785 | − | 0.205742i | ||||
\(909\) | −12.0769 | + | 7.53432i | −0.400566 | + | 0.249898i | ||||
\(910\) | 9.91683 | − | 0.529001i | 0.328740 | − | 0.0175362i | ||||
\(911\) | 24.8008 | − | 9.02675i | 0.821687 | − | 0.299070i | 0.103244 | − | 0.994656i | \(-0.467078\pi\) |
0.718442 | + | 0.695586i | \(0.244855\pi\) | |||||||
\(912\) | 3.42279 | − | 5.07053i | 0.113340 | − | 0.167902i | ||||
\(913\) | 4.17489 | + | 23.6770i | 0.138169 | + | 0.783594i | ||||
\(914\) | −25.5689 | + | 21.4548i | −0.845743 | + | 0.709662i | ||||
\(915\) | 2.83584 | + | 27.0757i | 0.0937501 | + | 0.895096i | ||||
\(916\) | 2.26328 | − | 12.8357i | 0.0747810 | − | 0.424104i | ||||
\(917\) | 58.4127 | − | 3.11595i | 1.92896 | − | 0.102898i | ||||
\(918\) | 22.7681 | + | 29.2073i | 0.751459 | + | 0.963984i | ||||
\(919\) | 23.9771 | + | 41.5296i | 0.790932 | + | 1.36993i | 0.925391 | + | 0.379015i | \(0.123737\pi\) |
−0.134459 | + | 0.990919i | \(0.542930\pi\) | |||||||
\(920\) | 3.34505 | + | 2.80683i | 0.110283 | + | 0.0925385i | ||||
\(921\) | 0.906160 | + | 8.65172i | 0.0298590 | + | 0.285084i | ||||
\(922\) | 4.49969 | + | 25.5190i | 0.148189 | + | 0.840423i | ||||
\(923\) | −1.68029 | + | 1.40993i | −0.0553073 | + | 0.0464083i | ||||
\(924\) | −6.04579 | − | 10.8922i | −0.198892 | − | 0.358328i | ||||
\(925\) | −20.7303 | + | 7.54522i | −0.681608 | + | 0.248085i | ||||
\(926\) | −4.79674 | −0.157631 | ||||||||
\(927\) | 15.7757 | + | 39.1280i | 0.518144 | + | 1.28513i | ||||
\(928\) | 8.75911 | 0.287532 | ||||||||
\(929\) | −8.45277 | + | 47.9381i | −0.277326 | + | 1.57280i | 0.454147 | + | 0.890927i | \(0.349944\pi\) |
−0.731474 | + | 0.681870i | \(0.761167\pi\) | |||||||
\(930\) | 24.2772 | − | 6.95183i | 0.796079 | − | 0.227960i | ||||
\(931\) | 24.0009 | + | 5.93654i | 0.786599 | + | 0.194562i | ||||
\(932\) | 3.05059 | + | 17.3007i | 0.0999254 | + | 0.566705i | ||||
\(933\) | −24.2700 | − | 23.4542i | −0.794563 | − | 0.767858i | ||||
\(934\) | −9.41624 | + | 3.42723i | −0.308109 | + | 0.112142i | ||||
\(935\) | −32.2522 | −1.05476 | ||||||||
\(936\) | 2.52948 | + | 6.27378i | 0.0826786 | + | 0.205065i | ||||
\(937\) | −28.4947 | + | 49.3543i | −0.930882 | + | 1.61233i | −0.149064 | + | 0.988828i | \(0.547626\pi\) |
−0.781818 | + | 0.623507i | \(0.785707\pi\) | |||||||
\(938\) | −0.332748 | + | 2.73109i | −0.0108646 | + | 0.0891732i | ||||
\(939\) | 3.51064 | − | 5.20067i | 0.114566 | − | 0.169718i | ||||
\(940\) | 0.943765 | + | 0.343502i | 0.0307822 | + | 0.0112038i | ||||
\(941\) | −13.1477 | + | 11.0322i | −0.428603 | + | 0.359641i | −0.831424 | − | 0.555638i | \(-0.812474\pi\) |
0.402821 | + | 0.915279i | \(0.368030\pi\) | |||||||
\(942\) | 1.84385 | + | 17.6045i | 0.0600758 | + | 0.573585i | ||||
\(943\) | 13.6270 | − | 4.95983i | 0.443757 | − | 0.161514i | ||||
\(944\) | 10.8522 | 0.353208 | ||||||||
\(945\) | −22.6030 | − | 3.58355i | −0.735275 | − | 0.116573i | ||||
\(946\) | −3.38015 | −0.109898 | ||||||||
\(947\) | −30.3973 | + | 11.0637i | −0.987780 | + | 0.359523i | −0.784860 | − | 0.619673i | \(-0.787265\pi\) |
−0.202920 | + | 0.979195i | \(0.565043\pi\) | |||||||
\(948\) | 1.11026 | − | 0.806036i | 0.0360596 | − | 0.0261788i | ||||
\(949\) | 13.6743 | − | 11.4741i | 0.443886 | − | 0.372465i | ||||
\(950\) | −7.39780 | − | 2.69258i | −0.240016 | − | 0.0873588i | ||||
\(951\) | 25.3035 | + | 51.9277i | 0.820524 | + | 1.68387i | ||||
\(952\) | 15.0699 | + | 11.3340i | 0.488419 | + | 0.367336i | ||||
\(953\) | 5.02190 | − | 8.69819i | 0.162675 | − | 0.281762i | −0.773152 | − | 0.634221i | \(-0.781321\pi\) |
0.935827 | + | 0.352459i | \(0.114654\pi\) | |||||||
\(954\) | 11.3091 | − | 7.05533i | 0.366147 | − | 0.228425i | ||||
\(955\) | −28.2711 | −0.914833 | ||||||||
\(956\) | −0.201785 | + | 0.0734437i | −0.00652619 | + | 0.00237534i | ||||
\(957\) | 9.99201 | − | 40.0139i | 0.322996 | − | 1.29347i | ||||
\(958\) | 1.89014 | + | 10.7195i | 0.0610676 | + | 0.346331i | ||||
\(959\) | −8.79943 | + | 8.22097i | −0.284148 | + | 0.265469i | ||||
\(960\) | −0.698542 | + | 2.79738i | −0.0225454 | + | 0.0902850i | ||||
\(961\) | 7.93739 | − | 45.0152i | 0.256045 | − | 1.45210i | ||||
\(962\) | 22.3174 | 0.719542 | ||||||||
\(963\) | 11.1950 | − | 34.3699i | 0.360755 | − | 1.10755i | ||||
\(964\) | −6.42394 | −0.206901 | ||||||||
\(965\) | 34.8248 | − | 12.6752i | 1.12105 | − | 0.408029i | ||||
\(966\) | −12.0191 | − | 0.202934i | −0.386707 | − | 0.00652928i | ||||
\(967\) | 14.2453 | − | 11.9533i | 0.458099 | − | 0.384391i | −0.384332 | − | 0.923195i | \(-0.625568\pi\) |
0.842431 | + | 0.538804i | \(0.181124\pi\) | |||||||
\(968\) | −0.626850 | − | 3.55504i | −0.0201477 | − | 0.114263i | ||||
\(969\) | 39.8248 | + | 17.7485i | 1.27936 | + | 0.570162i | ||||
\(970\) | −21.7126 | − | 18.2190i | −0.697148 | − | 0.584977i | ||||
\(971\) | −20.3346 | − | 35.2206i | −0.652569 | − | 1.13028i | −0.982497 | − | 0.186277i | \(-0.940358\pi\) |
0.329928 | − | 0.944006i | \(-0.392975\pi\) | |||||||
\(972\) | −2.67906 | − | 15.3565i | −0.0859309 | − | 0.492561i | ||||
\(973\) | 12.6619 | − | 24.9078i | 0.405922 | − | 0.798508i | ||||
\(974\) | 2.35758 | − | 13.3705i | 0.0755416 | − | 0.428418i | ||||
\(975\) | 7.04433 | − | 5.11410i | 0.225599 | − | 0.163782i | ||||
\(976\) | −7.23297 | + | 6.06918i | −0.231522 | + | 0.194270i | ||||
\(977\) | −3.31135 | − | 18.7796i | −0.105940 | − | 0.600813i | −0.990841 | − | 0.135034i | \(-0.956885\pi\) |
0.884901 | − | 0.465778i | \(-0.154226\pi\) | |||||||
\(978\) | 14.7806 | + | 30.3326i | 0.472631 | + | 0.969929i | ||||
\(979\) | 17.5802 | − | 6.39866i | 0.561865 | − | 0.204502i | ||||
\(980\) | −11.5865 | + | 1.23966i | −0.370117 | + | 0.0395995i | ||||
\(981\) | −2.89673 | + | 0.613524i | −0.0924856 | + | 0.0195883i | ||||
\(982\) | 9.70905 | − | 16.8166i | 0.309828 | − | 0.536638i | ||||
\(983\) | −40.2390 | + | 14.6458i | −1.28343 | + | 0.467129i | −0.891564 | − | 0.452895i | \(-0.850391\pi\) |
−0.391862 | + | 0.920024i | \(0.628169\pi\) | |||||||
\(984\) | 6.88549 | + | 6.65407i | 0.219501 | + | 0.212124i | ||||
\(985\) | −1.02289 | + | 0.858307i | −0.0325920 | + | 0.0273479i | ||||
\(986\) | 10.8402 | + | 61.4780i | 0.345223 | + | 1.95786i | ||||
\(987\) | −2.61365 | + | 0.901619i | −0.0831932 | + | 0.0286988i | ||||
\(988\) | 6.10090 | + | 5.11926i | 0.194095 | + | 0.162865i | ||||
\(989\) | −1.63081 | + | 2.82465i | −0.0518568 | + | 0.0898187i | ||||
\(990\) | 11.9823 | + | 6.38225i | 0.380822 | + | 0.202841i | ||||
\(991\) | −10.2263 | − | 17.7125i | −0.324850 | − | 0.562656i | 0.656632 | − | 0.754211i | \(-0.271980\pi\) |
−0.981482 | + | 0.191555i | \(0.938647\pi\) | |||||||
\(992\) | 6.70932 | + | 5.62979i | 0.213021 | + | 0.178746i | ||||
\(993\) | 2.69800 | + | 5.53681i | 0.0856183 | + | 0.175705i | ||||
\(994\) | 1.88067 | − | 1.75704i | 0.0596512 | − | 0.0557298i | ||||
\(995\) | −3.73770 | − | 1.36041i | −0.118493 | − | 0.0431279i | ||||
\(996\) | 1.59567 | + | 15.2349i | 0.0505607 | + | 0.482738i | ||||
\(997\) | 31.5413 | + | 26.4663i | 0.998923 | + | 0.838196i | 0.986835 | − | 0.161731i | \(-0.0517076\pi\) |
0.0120883 | + | 0.999927i | \(0.496152\pi\) | |||||||
\(998\) | 7.67086 | − | 13.2863i | 0.242817 | − | 0.420571i | ||||
\(999\) | −50.2937 | − | 10.7475i | −1.59122 | − | 0.340035i |
(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 | 378.2.w.a.25.2 | yes | 72 | |
7.2 | even | 3 | 378.2.v.b.79.9 | yes | 72 | ||
27.13 | even | 9 | 378.2.v.b.67.9 | ✓ | 72 | ||
189.121 | even | 9 | inner | 378.2.w.a.121.2 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.b.67.9 | ✓ | 72 | 27.13 | even | 9 | ||
378.2.v.b.79.9 | yes | 72 | 7.2 | even | 3 | ||
378.2.w.a.25.2 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.a.121.2 | yes | 72 | 189.121 | even | 9 | inner |