Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(35,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.k (of order \(7\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 188.10 | ||
Character | \(\chi\) | \(=\) | 731.188 |
Dual form | 731.2.k.b.35.10 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.263173 | − | 1.15304i | −0.186092 | − | 0.815320i | −0.978652 | − | 0.205526i | \(-0.934109\pi\) |
0.792560 | − | 0.609794i | \(-0.208748\pi\) | |||||||
\(3\) | 0.751127 | − | 3.29090i | 0.433664 | − | 1.90000i | −0.00221226 | − | 0.999998i | \(-0.500704\pi\) |
0.435876 | − | 0.900007i | \(-0.356439\pi\) | |||||||
\(4\) | 0.541703 | − | 0.260871i | 0.270852 | − | 0.130435i | ||||
\(5\) | 0.905581 | + | 1.13556i | 0.404988 | + | 0.507839i | 0.941943 | − | 0.335772i | \(-0.108997\pi\) |
−0.536955 | + | 0.843611i | \(0.680426\pi\) | |||||||
\(6\) | −3.99221 | −1.62981 | ||||||||
\(7\) | 4.03940 | 1.52675 | 0.763374 | − | 0.645956i | \(-0.223541\pi\) | ||||
0.763374 | + | 0.645956i | \(0.223541\pi\) | |||||||
\(8\) | −1.91815 | − | 2.40528i | −0.678167 | − | 0.850394i | ||||
\(9\) | −7.56295 | − | 3.64213i | −2.52098 | − | 1.21404i | ||||
\(10\) | 1.07102 | − | 1.34302i | 0.338687 | − | 0.424700i | ||||
\(11\) | 4.25295 | + | 2.04811i | 1.28231 | + | 0.617530i | 0.945984 | − | 0.324215i | \(-0.105100\pi\) |
0.336330 | + | 0.941744i | \(0.390814\pi\) | |||||||
\(12\) | −0.451612 | − | 1.97864i | −0.130369 | − | 0.571184i | ||||
\(13\) | 1.18254 | + | 1.48286i | 0.327977 | + | 0.411271i | 0.918293 | − | 0.395902i | \(-0.129568\pi\) |
−0.590315 | + | 0.807173i | \(0.700997\pi\) | |||||||
\(14\) | −1.06306 | − | 4.65758i | −0.284115 | − | 1.24479i | ||||
\(15\) | 4.41723 | − | 2.12723i | 1.14052 | − | 0.549248i | ||||
\(16\) | −1.51883 | + | 1.90455i | −0.379707 | + | 0.476138i | ||||
\(17\) | −0.623490 | + | 0.781831i | −0.151218 | + | 0.189622i | ||||
\(18\) | −2.20914 | + | 9.67887i | −0.520699 | + | 2.28133i | ||||
\(19\) | −2.52811 | + | 1.21748i | −0.579989 | + | 0.279308i | −0.700789 | − | 0.713369i | \(-0.747168\pi\) |
0.120800 | + | 0.992677i | \(0.461454\pi\) | |||||||
\(20\) | 0.786791 | + | 0.378898i | 0.175932 | + | 0.0847243i | ||||
\(21\) | 3.03410 | − | 13.2933i | 0.662095 | − | 2.90083i | ||||
\(22\) | 1.24229 | − | 5.44282i | 0.264857 | − | 1.16041i | ||||
\(23\) | −6.97179 | − | 3.35744i | −1.45372 | − | 0.700074i | −0.470482 | − | 0.882409i | \(-0.655920\pi\) |
−0.983236 | + | 0.182336i | \(0.941634\pi\) | |||||||
\(24\) | −9.35631 | + | 4.50576i | −1.90985 | + | 0.919735i | ||||
\(25\) | 0.643179 | − | 2.81795i | 0.128636 | − | 0.563591i | ||||
\(26\) | 1.39858 | − | 1.75376i | 0.274283 | − | 0.343941i | ||||
\(27\) | −11.3528 | + | 14.2359i | −2.18484 | + | 2.73971i | ||||
\(28\) | 2.18815 | − | 1.05376i | 0.413522 | − | 0.199142i | ||||
\(29\) | −0.278287 | − | 1.21925i | −0.0516765 | − | 0.226410i | 0.942495 | − | 0.334221i | \(-0.108473\pi\) |
−0.994171 | + | 0.107811i | \(0.965616\pi\) | |||||||
\(30\) | −3.61527 | − | 4.53340i | −0.660055 | − | 0.827683i | ||||
\(31\) | 1.31567 | + | 5.76431i | 0.236301 | + | 1.03530i | 0.944299 | + | 0.329087i | \(0.106741\pi\) |
−0.707999 | + | 0.706214i | \(0.750402\pi\) | |||||||
\(32\) | −2.94786 | − | 1.41962i | −0.521114 | − | 0.250955i | ||||
\(33\) | 9.93466 | − | 12.4577i | 1.72940 | − | 2.16860i | ||||
\(34\) | 1.06557 | + | 0.513150i | 0.182743 | + | 0.0880045i | ||||
\(35\) | 3.65800 | + | 4.58699i | 0.618315 | + | 0.775342i | ||||
\(36\) | −5.04700 | −0.841166 | ||||||||
\(37\) | 0.559724 | 0.0920181 | 0.0460090 | − | 0.998941i | \(-0.485350\pi\) | ||||
0.0460090 | + | 0.998941i | \(0.485350\pi\) | |||||||
\(38\) | 2.06913 | + | 2.59460i | 0.335657 | + | 0.420900i | ||||
\(39\) | 5.76818 | − | 2.77781i | 0.923648 | − | 0.444805i | ||||
\(40\) | 0.994308 | − | 4.35635i | 0.157214 | − | 0.688799i | ||||
\(41\) | 2.78571 | + | 12.2050i | 0.435055 | + | 1.90610i | 0.422905 | + | 0.906174i | \(0.361010\pi\) |
0.0121498 | + | 0.999926i | \(0.496133\pi\) | |||||||
\(42\) | −16.1261 | −2.48832 | ||||||||
\(43\) | 6.32065 | − | 1.74624i | 0.963890 | − | 0.266299i | ||||
\(44\) | 2.83813 | 0.427864 | ||||||||
\(45\) | −2.71300 | − | 11.8864i | −0.404431 | − | 1.77193i | ||||
\(46\) | −2.03646 | + | 8.92232i | −0.300260 | + | 1.31552i | ||||
\(47\) | −4.55881 | + | 2.19541i | −0.664971 | + | 0.320233i | −0.735744 | − | 0.677259i | \(-0.763167\pi\) |
0.0707737 | + | 0.997492i | \(0.477453\pi\) | |||||||
\(48\) | 5.12686 | + | 6.42888i | 0.739999 | + | 0.927930i | ||||
\(49\) | 9.31673 | 1.33096 | ||||||||
\(50\) | −3.41847 | −0.483445 | ||||||||
\(51\) | 2.10461 | + | 2.63910i | 0.294705 | + | 0.369548i | ||||
\(52\) | 1.02742 | + | 0.494779i | 0.142477 | + | 0.0686135i | ||||
\(53\) | 3.33812 | − | 4.18587i | 0.458526 | − | 0.574973i | −0.497794 | − | 0.867295i | \(-0.665857\pi\) |
0.956320 | + | 0.292322i | \(0.0944280\pi\) | |||||||
\(54\) | 19.4023 | + | 9.34367i | 2.64032 | + | 1.27151i | ||||
\(55\) | 1.52563 | + | 6.68423i | 0.205716 | + | 0.901301i | ||||
\(56\) | −7.74815 | − | 9.71587i | −1.03539 | − | 1.29834i | ||||
\(57\) | 2.10766 | + | 9.23426i | 0.279166 | + | 1.22311i | ||||
\(58\) | −1.33261 | + | 0.641749i | −0.174980 | + | 0.0842658i | ||||
\(59\) | −1.08216 | + | 1.35698i | −0.140885 | + | 0.176664i | −0.847268 | − | 0.531166i | \(-0.821754\pi\) |
0.706383 | + | 0.707830i | \(0.250326\pi\) | |||||||
\(60\) | 1.83790 | − | 2.30465i | 0.237272 | − | 0.297529i | ||||
\(61\) | −2.83464 | + | 12.4194i | −0.362939 | + | 1.59014i | 0.382754 | + | 0.923850i | \(0.374976\pi\) |
−0.745693 | + | 0.666289i | \(0.767882\pi\) | |||||||
\(62\) | 6.30022 | − | 3.03402i | 0.800128 | − | 0.385322i | ||||
\(63\) | −30.5498 | − | 14.7120i | −3.84891 | − | 1.85354i | ||||
\(64\) | −1.94520 | + | 8.52248i | −0.243150 | + | 1.06531i | ||||
\(65\) | −0.612992 | + | 2.68569i | −0.0760323 | + | 0.333119i | ||||
\(66\) | −16.9787 | − | 8.17650i | −2.08993 | − | 1.00646i | ||||
\(67\) | 4.95954 | − | 2.38839i | 0.605904 | − | 0.291788i | −0.105667 | − | 0.994402i | \(-0.533698\pi\) |
0.711572 | + | 0.702613i | \(0.247984\pi\) | |||||||
\(68\) | −0.133790 | + | 0.586171i | −0.0162244 | + | 0.0710836i | ||||
\(69\) | −16.2857 | + | 20.4216i | −1.96057 | + | 2.45848i | ||||
\(70\) | 4.32628 | − | 5.42498i | 0.517089 | − | 0.648410i | ||||
\(71\) | −9.95034 | + | 4.79183i | −1.18089 | + | 0.568686i | −0.918170 | − | 0.396187i | \(-0.870333\pi\) |
−0.262719 | + | 0.964873i | \(0.584619\pi\) | |||||||
\(72\) | 5.74651 | + | 25.1771i | 0.677233 | + | 2.96715i | ||||
\(73\) | −3.74525 | − | 4.69639i | −0.438348 | − | 0.549671i | 0.512759 | − | 0.858533i | \(-0.328623\pi\) |
−0.951107 | + | 0.308861i | \(0.900052\pi\) | |||||||
\(74\) | −0.147304 | − | 0.645383i | −0.0171238 | − | 0.0750242i | ||||
\(75\) | −8.79050 | − | 4.23328i | −1.01504 | − | 0.488817i | ||||
\(76\) | −1.05188 | + | 1.31902i | −0.120659 | + | 0.151302i | ||||
\(77\) | 17.1794 | + | 8.27315i | 1.95777 | + | 0.942813i | ||||
\(78\) | −4.72095 | − | 5.91988i | −0.534542 | − | 0.670294i | ||||
\(79\) | −0.958276 | −0.107814 | −0.0539072 | − | 0.998546i | \(-0.517168\pi\) | ||||
−0.0539072 | + | 0.998546i | \(0.517168\pi\) | |||||||
\(80\) | −3.53816 | −0.395578 | ||||||||
\(81\) | 22.6206 | + | 28.3653i | 2.51340 | + | 3.15170i | ||||
\(82\) | 13.3397 | − | 6.42406i | 1.47312 | − | 0.709418i | ||||
\(83\) | −0.337155 | + | 1.47717i | −0.0370075 | + | 0.162141i | −0.990055 | − | 0.140680i | \(-0.955071\pi\) |
0.953048 | + | 0.302821i | \(0.0979283\pi\) | |||||||
\(84\) | −1.82424 | − | 7.99251i | −0.199041 | − | 0.872055i | ||||
\(85\) | −1.45244 | −0.157539 | ||||||||
\(86\) | −3.67691 | − | 6.82838i | −0.396491 | − | 0.736324i | ||||
\(87\) | −4.22147 | −0.452589 | ||||||||
\(88\) | −3.23150 | − | 14.1581i | −0.344479 | − | 1.50926i | ||||
\(89\) | 2.37298 | − | 10.3967i | 0.251535 | − | 1.10205i | −0.678507 | − | 0.734594i | \(-0.737373\pi\) |
0.930042 | − | 0.367453i | \(-0.119770\pi\) | |||||||
\(90\) | −12.9915 | + | 6.25639i | −1.36943 | + | 0.659481i | ||||
\(91\) | 4.77675 | + | 5.98985i | 0.500739 | + | 0.627907i | ||||
\(92\) | −4.65250 | −0.485056 | ||||||||
\(93\) | 19.9580 | 2.06955 | ||||||||
\(94\) | 3.73114 | + | 4.67870i | 0.384838 | + | 0.482571i | ||||
\(95\) | −3.67193 | − | 1.76831i | −0.376732 | − | 0.181425i | ||||
\(96\) | −6.88605 | + | 8.63483i | −0.702804 | + | 0.881288i | ||||
\(97\) | −1.65646 | − | 0.797707i | −0.168188 | − | 0.0809949i | 0.347896 | − | 0.937533i | \(-0.386896\pi\) |
−0.516083 | + | 0.856538i | \(0.672611\pi\) | |||||||
\(98\) | −2.45191 | − | 10.7425i | −0.247681 | − | 1.08516i | ||||
\(99\) | −24.7054 | − | 30.9796i | −2.48298 | − | 3.11356i | ||||
\(100\) | −0.386708 | − | 1.69428i | −0.0386708 | − | 0.169428i | ||||
\(101\) | −2.55649 | + | 1.23114i | −0.254380 | + | 0.122503i | −0.556729 | − | 0.830694i | \(-0.687944\pi\) |
0.302349 | + | 0.953197i | \(0.402229\pi\) | |||||||
\(102\) | 2.48910 | − | 3.12124i | 0.246458 | − | 0.309048i | ||||
\(103\) | −4.79634 | + | 6.01443i | −0.472598 | + | 0.592619i | −0.959805 | − | 0.280667i | \(-0.909444\pi\) |
0.487207 | + | 0.873286i | \(0.338016\pi\) | |||||||
\(104\) | 1.29840 | − | 5.68867i | 0.127319 | − | 0.557820i | ||||
\(105\) | 17.8430 | − | 8.59272i | 1.74129 | − | 0.838563i | ||||
\(106\) | −5.70496 | − | 2.74736i | −0.554115 | − | 0.266848i | ||||
\(107\) | 1.09160 | − | 4.78260i | 0.105529 | − | 0.462351i | −0.894359 | − | 0.447350i | \(-0.852368\pi\) |
0.999887 | − | 0.0150010i | \(-0.00477514\pi\) | |||||||
\(108\) | −2.43610 | + | 10.6733i | −0.234414 | + | 1.02704i | ||||
\(109\) | 14.7028 | + | 7.08049i | 1.40827 | + | 0.678188i | 0.974821 | − | 0.222989i | \(-0.0715813\pi\) |
0.433452 | + | 0.901177i | \(0.357296\pi\) | |||||||
\(110\) | 7.30566 | − | 3.51822i | 0.696567 | − | 0.335449i | ||||
\(111\) | 0.420424 | − | 1.84200i | 0.0399049 | − | 0.174835i | ||||
\(112\) | −6.13516 | + | 7.69324i | −0.579718 | + | 0.726943i | ||||
\(113\) | 0.115955 | − | 0.145403i | 0.0109082 | − | 0.0136784i | −0.776347 | − | 0.630305i | \(-0.782930\pi\) |
0.787256 | + | 0.616627i | \(0.211501\pi\) | |||||||
\(114\) | 10.0928 | − | 4.86042i | 0.945274 | − | 0.455220i | ||||
\(115\) | −2.50094 | − | 10.9573i | −0.233214 | − | 1.02178i | ||||
\(116\) | −0.468816 | − | 0.587876i | −0.0435285 | − | 0.0545830i | ||||
\(117\) | −3.54273 | − | 15.5217i | −0.327526 | − | 1.43498i | ||||
\(118\) | 1.84945 | + | 0.890648i | 0.170256 | + | 0.0819908i | ||||
\(119\) | −2.51852 | + | 3.15813i | −0.230873 | + | 0.289505i | ||||
\(120\) | −13.5895 | − | 6.54434i | −1.24054 | − | 0.597414i | ||||
\(121\) | 7.03445 | + | 8.82092i | 0.639495 | + | 0.801902i | ||||
\(122\) | 15.0660 | 1.36401 | ||||||||
\(123\) | 42.2579 | 3.81027 | ||||||||
\(124\) | 2.21644 | + | 2.77933i | 0.199042 | + | 0.249591i | ||||
\(125\) | 10.3254 | − | 4.97246i | 0.923534 | − | 0.444750i | ||||
\(126\) | −8.92359 | + | 39.0968i | −0.794977 | + | 3.48302i | ||||
\(127\) | 0.171122 | + | 0.749733i | 0.0151846 | + | 0.0665280i | 0.981953 | − | 0.189127i | \(-0.0605659\pi\) |
−0.966768 | + | 0.255655i | \(0.917709\pi\) | |||||||
\(128\) | 3.79489 | 0.335424 | ||||||||
\(129\) | −0.999092 | − | 22.1123i | −0.0879652 | − | 1.94688i | ||||
\(130\) | 3.25803 | 0.285748 | ||||||||
\(131\) | 1.64861 | + | 7.22305i | 0.144040 | + | 0.631081i | 0.994473 | + | 0.104997i | \(0.0334832\pi\) |
−0.850432 | + | 0.526084i | \(0.823660\pi\) | |||||||
\(132\) | 2.13180 | − | 9.34002i | 0.185549 | − | 0.812944i | ||||
\(133\) | −10.2121 | + | 4.91787i | −0.885498 | + | 0.426433i | ||||
\(134\) | −4.05912 | − | 5.08997i | −0.350655 | − | 0.439707i | ||||
\(135\) | −26.4467 | −2.27617 | ||||||||
\(136\) | 3.07647 | 0.263805 | ||||||||
\(137\) | −11.1484 | − | 13.9796i | −0.952471 | − | 1.19436i | −0.980850 | − | 0.194764i | \(-0.937606\pi\) |
0.0283789 | − | 0.999597i | \(-0.490966\pi\) | |||||||
\(138\) | 27.8329 | + | 13.4036i | 2.36929 | + | 1.14099i | ||||
\(139\) | −0.382033 | + | 0.479055i | −0.0324036 | + | 0.0406329i | −0.797769 | − | 0.602963i | \(-0.793987\pi\) |
0.765366 | + | 0.643596i | \(0.222558\pi\) | |||||||
\(140\) | 3.17816 | + | 1.53052i | 0.268604 | + | 0.129353i | ||||
\(141\) | 3.80063 | + | 16.6516i | 0.320070 | + | 1.40232i | ||||
\(142\) | 8.14383 | + | 10.2120i | 0.683415 | + | 0.856975i | ||||
\(143\) | 1.99222 | + | 8.72850i | 0.166598 | + | 0.729914i | ||||
\(144\) | 18.4235 | − | 8.87227i | 1.53529 | − | 0.739356i | ||||
\(145\) | 1.13253 | − | 1.42014i | 0.0940512 | − | 0.117937i | ||||
\(146\) | −4.42947 | + | 5.55437i | −0.366585 | + | 0.459683i | ||||
\(147\) | 6.99805 | − | 30.6605i | 0.577190 | − | 2.52883i | ||||
\(148\) | 0.303204 | − | 0.146015i | 0.0249232 | − | 0.0120024i | ||||
\(149\) | −11.4219 | − | 5.50051i | −0.935721 | − | 0.450619i | −0.0970631 | − | 0.995278i | \(-0.530945\pi\) |
−0.838658 | + | 0.544659i | \(0.816659\pi\) | |||||||
\(150\) | −2.56771 | + | 11.2499i | −0.209652 | + | 0.918547i | ||||
\(151\) | 4.63796 | − | 20.3202i | 0.377432 | − | 1.65364i | −0.327865 | − | 0.944725i | \(-0.606329\pi\) |
0.705297 | − | 0.708912i | \(-0.250814\pi\) | |||||||
\(152\) | 7.77766 | + | 3.74552i | 0.630851 | + | 0.303802i | ||||
\(153\) | 7.56295 | − | 3.64213i | 0.611428 | − | 0.294448i | ||||
\(154\) | 5.01810 | − | 21.9857i | 0.404370 | − | 1.77166i | ||||
\(155\) | −5.35429 | + | 6.71407i | −0.430067 | + | 0.539287i | ||||
\(156\) | 2.39999 | − | 3.00950i | 0.192153 | − | 0.240952i | ||||
\(157\) | 8.01056 | − | 3.85768i | 0.639312 | − | 0.307877i | −0.0860014 | − | 0.996295i | \(-0.527409\pi\) |
0.725314 | + | 0.688418i | \(0.241695\pi\) | |||||||
\(158\) | 0.252193 | + | 1.10493i | 0.0200634 | + | 0.0879033i | ||||
\(159\) | −11.2679 | − | 14.1295i | −0.893605 | − | 1.12055i | ||||
\(160\) | −1.05747 | − | 4.63306i | −0.0836000 | − | 0.366276i | ||||
\(161\) | −28.1618 | − | 13.5620i | −2.21946 | − | 1.06884i | ||||
\(162\) | 26.7531 | − | 33.5473i | 2.10192 | − | 2.63573i | ||||
\(163\) | −4.10627 | − | 1.97748i | −0.321628 | − | 0.154888i | 0.266102 | − | 0.963945i | \(-0.414264\pi\) |
−0.587730 | + | 0.809057i | \(0.699978\pi\) | |||||||
\(164\) | 4.69295 | + | 5.88478i | 0.366458 | + | 0.459524i | ||||
\(165\) | 23.1431 | 1.80169 | ||||||||
\(166\) | 1.79196 | 0.139083 | ||||||||
\(167\) | 1.52301 | + | 1.90979i | 0.117854 | + | 0.147784i | 0.837259 | − | 0.546807i | \(-0.184157\pi\) |
−0.719405 | + | 0.694591i | \(0.755585\pi\) | |||||||
\(168\) | −37.7939 | + | 18.2006i | −2.91586 | + | 1.40420i | ||||
\(169\) | 2.09231 | − | 9.16699i | 0.160947 | − | 0.705153i | ||||
\(170\) | 0.382243 | + | 1.67472i | 0.0293167 | + | 0.128445i | ||||
\(171\) | 23.5542 | 1.80124 | ||||||||
\(172\) | 2.96838 | − | 2.59482i | 0.226336 | − | 0.197853i | ||||
\(173\) | 6.81924 | 0.518457 | 0.259229 | − | 0.965816i | \(-0.416532\pi\) | ||||
0.259229 | + | 0.965816i | \(0.416532\pi\) | |||||||
\(174\) | 1.11098 | + | 4.86752i | 0.0842231 | + | 0.369005i | ||||
\(175\) | 2.59806 | − | 11.3828i | 0.196395 | − | 0.860461i | ||||
\(176\) | −10.3603 | + | 4.98923i | −0.780933 | + | 0.376078i | ||||
\(177\) | 3.65287 | + | 4.58055i | 0.274566 | + | 0.344295i | ||||
\(178\) | −12.6123 | −0.945330 | ||||||||
\(179\) | −21.3565 | −1.59626 | −0.798132 | − | 0.602483i | \(-0.794178\pi\) | ||||
−0.798132 | + | 0.602483i | \(0.794178\pi\) | |||||||
\(180\) | −4.57046 | − | 5.73118i | −0.340662 | − | 0.427177i | ||||
\(181\) | −13.1975 | − | 6.35560i | −0.980966 | − | 0.472408i | −0.126529 | − | 0.991963i | \(-0.540384\pi\) |
−0.854437 | + | 0.519555i | \(0.826098\pi\) | |||||||
\(182\) | 5.64941 | − | 7.08413i | 0.418762 | − | 0.525111i | ||||
\(183\) | 38.7418 | + | 18.6571i | 2.86388 | + | 1.37917i | ||||
\(184\) | 5.29733 | + | 23.2091i | 0.390525 | + | 1.71100i | ||||
\(185\) | 0.506875 | + | 0.635601i | 0.0372662 | + | 0.0467303i | ||||
\(186\) | −5.25242 | − | 23.0123i | −0.385126 | − | 1.68735i | ||||
\(187\) | −4.25295 | + | 2.04811i | −0.311007 | + | 0.149773i | ||||
\(188\) | −1.89680 | + | 2.37852i | −0.138339 | + | 0.173471i | ||||
\(189\) | −45.8584 | + | 57.5046i | −3.33571 | + | 4.18285i | ||||
\(190\) | −1.07257 | + | 4.69925i | −0.0778126 | + | 0.340919i | ||||
\(191\) | −1.38297 | + | 0.666005i | −0.100069 | + | 0.0481905i | −0.483248 | − | 0.875483i | \(-0.660543\pi\) |
0.383180 | + | 0.923674i | \(0.374829\pi\) | |||||||
\(192\) | 26.5856 | + | 12.8029i | 1.91865 | + | 0.923972i | ||||
\(193\) | 2.92093 | − | 12.7974i | 0.210253 | − | 0.921180i | −0.754141 | − | 0.656712i | \(-0.771947\pi\) |
0.964395 | − | 0.264468i | \(-0.0851963\pi\) | |||||||
\(194\) | −0.483851 | + | 2.11989i | −0.0347385 | + | 0.152199i | ||||
\(195\) | 8.37793 | + | 4.03460i | 0.599956 | + | 0.288923i | ||||
\(196\) | 5.04690 | − | 2.43046i | 0.360493 | − | 0.173604i | ||||
\(197\) | −5.24975 | + | 23.0007i | −0.374030 | + | 1.63873i | 0.341308 | + | 0.939951i | \(0.389130\pi\) |
−0.715338 | + | 0.698779i | \(0.753727\pi\) | |||||||
\(198\) | −29.2188 | + | 36.6392i | −2.07649 | + | 2.60384i | ||||
\(199\) | 7.44752 | − | 9.33890i | 0.527941 | − | 0.662017i | −0.444333 | − | 0.895862i | \(-0.646559\pi\) |
0.972274 | + | 0.233845i | \(0.0751308\pi\) | |||||||
\(200\) | −8.01167 | + | 3.85822i | −0.566511 | + | 0.272817i | ||||
\(201\) | −4.13471 | − | 18.1154i | −0.291640 | − | 1.27776i | ||||
\(202\) | 2.09235 | + | 2.62372i | 0.147217 | + | 0.184604i | ||||
\(203\) | −1.12411 | − | 4.92505i | −0.0788970 | − | 0.345671i | ||||
\(204\) | 1.82854 | + | 0.880578i | 0.128023 | + | 0.0616528i | ||||
\(205\) | −11.3368 | + | 14.2160i | −0.791800 | + | 0.992886i | ||||
\(206\) | 8.19712 | + | 3.94753i | 0.571121 | + | 0.275037i | ||||
\(207\) | 40.4991 | + | 50.7843i | 2.81488 | + | 3.52975i | ||||
\(208\) | −4.62025 | −0.320357 | ||||||||
\(209\) | −13.2455 | −0.916209 | ||||||||
\(210\) | −14.6035 | − | 18.3122i | −1.00774 | − | 1.26366i | ||||
\(211\) | 12.4991 | − | 6.01926i | 0.860476 | − | 0.414383i | 0.0490203 | − | 0.998798i | \(-0.484390\pi\) |
0.811455 | + | 0.584415i | \(0.198676\pi\) | |||||||
\(212\) | 0.716299 | − | 3.13831i | 0.0491957 | − | 0.215540i | ||||
\(213\) | 8.29549 | + | 36.3449i | 0.568397 | + | 2.49031i | ||||
\(214\) | −5.80179 | −0.396602 | ||||||||
\(215\) | 7.70683 | + | 5.59613i | 0.525601 | + | 0.381653i | ||||
\(216\) | 56.0177 | 3.81152 | ||||||||
\(217\) | 5.31450 | + | 23.2843i | 0.360772 | + | 1.58064i | ||||
\(218\) | 4.29469 | − | 18.8163i | 0.290873 | − | 1.27440i | ||||
\(219\) | −18.2685 | + | 8.79766i | −1.23447 | + | 0.594491i | ||||
\(220\) | 2.57016 | + | 3.22287i | 0.173280 | + | 0.217286i | ||||
\(221\) | −1.89665 | −0.127582 | ||||||||
\(222\) | −2.23454 | −0.149972 | ||||||||
\(223\) | −3.72326 | − | 4.66882i | −0.249328 | − | 0.312647i | 0.641380 | − | 0.767223i | \(-0.278362\pi\) |
−0.890708 | + | 0.454576i | \(0.849791\pi\) | |||||||
\(224\) | −11.9076 | − | 5.73440i | −0.795610 | − | 0.383146i | ||||
\(225\) | −15.1277 | + | 18.9695i | −1.00851 | + | 1.26463i | ||||
\(226\) | −0.198172 | − | 0.0954345i | −0.0131822 | − | 0.00634821i | ||||
\(227\) | −3.68035 | − | 16.1247i | −0.244274 | − | 1.07023i | −0.937081 | − | 0.349111i | \(-0.886484\pi\) |
0.692808 | − | 0.721122i | \(-0.256373\pi\) | |||||||
\(228\) | 3.55067 | + | 4.45240i | 0.235149 | + | 0.294868i | ||||
\(229\) | 0.630291 | + | 2.76149i | 0.0416508 | + | 0.182484i | 0.991474 | − | 0.130302i | \(-0.0415948\pi\) |
−0.949824 | + | 0.312786i | \(0.898738\pi\) | |||||||
\(230\) | −11.9760 | + | 5.76735i | −0.789676 | + | 0.380288i | ||||
\(231\) | 40.1300 | − | 50.3215i | 2.64036 | − | 3.31091i | ||||
\(232\) | −2.39885 | + | 3.00806i | −0.157492 | + | 0.197489i | ||||
\(233\) | −0.570588 | + | 2.49991i | −0.0373805 | + | 0.163775i | −0.990173 | − | 0.139847i | \(-0.955339\pi\) |
0.952793 | + | 0.303622i | \(0.0981960\pi\) | |||||||
\(234\) | −16.9648 | + | 8.16981i | −1.10902 | + | 0.534077i | ||||
\(235\) | −6.62139 | − | 3.18869i | −0.431932 | − | 0.208007i | ||||
\(236\) | −0.232212 | + | 1.01739i | −0.0151157 | + | 0.0662262i | ||||
\(237\) | −0.719787 | + | 3.15359i | −0.0467552 | + | 0.204848i | ||||
\(238\) | 4.30425 | + | 2.07282i | 0.279003 | + | 0.134361i | ||||
\(239\) | 14.2277 | − | 6.85168i | 0.920311 | − | 0.443198i | 0.0871286 | − | 0.996197i | \(-0.472231\pi\) |
0.833182 | + | 0.552999i | \(0.186517\pi\) | |||||||
\(240\) | −2.65761 | + | 11.6437i | −0.171548 | + | 0.751601i | ||||
\(241\) | 9.58794 | − | 12.0229i | 0.617613 | − | 0.774463i | −0.370393 | − | 0.928875i | \(-0.620777\pi\) |
0.988006 | + | 0.154412i | \(0.0493484\pi\) | |||||||
\(242\) | 8.31957 | − | 10.4324i | 0.534802 | − | 0.670621i | ||||
\(243\) | 61.1226 | − | 29.4351i | 3.92102 | − | 1.88826i | ||||
\(244\) | 1.70432 | + | 7.46710i | 0.109108 | + | 0.478032i | ||||
\(245\) | 8.43705 | + | 10.5797i | 0.539024 | + | 0.675914i | ||||
\(246\) | −11.1211 | − | 48.7249i | −0.709058 | − | 3.10659i | ||||
\(247\) | −4.79494 | − | 2.30912i | −0.305095 | − | 0.146926i | ||||
\(248\) | 11.3411 | − | 14.2213i | 0.720163 | − | 0.903055i | ||||
\(249\) | 4.60798 | + | 2.21909i | 0.292019 | + | 0.140629i | ||||
\(250\) | −8.45081 | − | 10.5970i | −0.534476 | − | 0.670212i | ||||
\(251\) | −2.15843 | −0.136239 | −0.0681193 | − | 0.997677i | \(-0.521700\pi\) | ||||
−0.0681193 | + | 0.997677i | \(0.521700\pi\) | |||||||
\(252\) | −20.3868 | −1.28425 | ||||||||
\(253\) | −22.7743 | − | 28.5580i | −1.43181 | − | 1.79543i | ||||
\(254\) | 0.819435 | − | 0.394619i | 0.0514159 | − | 0.0247606i | ||||
\(255\) | −1.09097 | + | 4.77984i | −0.0683190 | + | 0.299325i | ||||
\(256\) | 2.89169 | + | 12.6693i | 0.180730 | + | 0.791832i | ||||
\(257\) | 23.7280 | 1.48011 | 0.740057 | − | 0.672545i | \(-0.234799\pi\) | ||||
0.740057 | + | 0.672545i | \(0.234799\pi\) | |||||||
\(258\) | −25.2334 | + | 6.97136i | −1.57096 | + | 0.434018i | ||||
\(259\) | 2.26095 | 0.140488 | ||||||||
\(260\) | 0.368559 | + | 1.61476i | 0.0228570 | + | 0.100143i | ||||
\(261\) | −2.33600 | + | 10.2347i | −0.144595 | + | 0.633512i | ||||
\(262\) | 7.89458 | − | 3.80183i | 0.487729 | − | 0.234878i | ||||
\(263\) | 4.45273 | + | 5.58355i | 0.274567 | + | 0.344296i | 0.899927 | − | 0.436040i | \(-0.143619\pi\) |
−0.625360 | + | 0.780336i | \(0.715048\pi\) | |||||||
\(264\) | −49.0203 | −3.01699 | ||||||||
\(265\) | 7.77625 | 0.477691 | ||||||||
\(266\) | 8.35803 | + | 10.4806i | 0.512463 | + | 0.642609i | ||||
\(267\) | −32.4321 | − | 15.6185i | −1.98481 | − | 0.955835i | ||||
\(268\) | 2.06354 | − | 2.58760i | 0.126051 | − | 0.158063i | ||||
\(269\) | −2.04014 | − | 0.982479i | −0.124389 | − | 0.0599028i | 0.370654 | − | 0.928771i | \(-0.379134\pi\) |
−0.495043 | + | 0.868868i | \(0.664848\pi\) | |||||||
\(270\) | 6.96005 | + | 30.4940i | 0.423575 | + | 1.85581i | ||||
\(271\) | −9.21790 | − | 11.5589i | −0.559948 | − | 0.702152i | 0.418601 | − | 0.908170i | \(-0.362521\pi\) |
−0.978548 | + | 0.206018i | \(0.933949\pi\) | |||||||
\(272\) | −0.542064 | − | 2.37494i | −0.0328675 | − | 0.144002i | ||||
\(273\) | 23.3000 | − | 11.2207i | 1.41018 | − | 0.679106i | ||||
\(274\) | −13.1851 | + | 16.5336i | −0.796540 | + | 0.998830i | ||||
\(275\) | 8.50690 | − | 10.6673i | 0.512985 | − | 0.643263i | ||||
\(276\) | −3.49462 | + | 15.3109i | −0.210351 | + | 0.921609i | ||||
\(277\) | −7.86773 | + | 3.78890i | −0.472726 | + | 0.227653i | −0.655050 | − | 0.755586i | \(-0.727352\pi\) |
0.182324 | + | 0.983239i | \(0.441638\pi\) | |||||||
\(278\) | 0.652909 | + | 0.314424i | 0.0391589 | + | 0.0188579i | ||||
\(279\) | 11.0440 | − | 48.3870i | 0.661188 | − | 2.89686i | ||||
\(280\) | 4.01640 | − | 17.5970i | 0.240026 | − | 1.05162i | ||||
\(281\) | −2.54838 | − | 1.22724i | −0.152024 | − | 0.0732107i | 0.356325 | − | 0.934362i | \(-0.384030\pi\) |
−0.508349 | + | 0.861151i | \(0.669744\pi\) | |||||||
\(282\) | 18.1997 | − | 8.76453i | 1.08378 | − | 0.521920i | ||||
\(283\) | −7.35126 | + | 32.2080i | −0.436987 | + | 1.91457i | −0.0338481 | + | 0.999427i | \(0.510776\pi\) |
−0.403139 | + | 0.915139i | \(0.632081\pi\) | |||||||
\(284\) | −4.14009 | + | 5.19150i | −0.245669 | + | 0.308059i | ||||
\(285\) | −8.57742 | + | 10.7557i | −0.508083 | + | 0.637116i | ||||
\(286\) | 9.53998 | − | 4.59421i | 0.564111 | − | 0.271661i | ||||
\(287\) | 11.2526 | + | 49.3008i | 0.664220 | + | 2.91014i | ||||
\(288\) | 17.1241 | + | 21.4730i | 1.00905 | + | 1.26531i | ||||
\(289\) | −0.222521 | − | 0.974928i | −0.0130895 | − | 0.0573487i | ||||
\(290\) | −1.93553 | − | 0.932102i | −0.113658 | − | 0.0547349i | ||||
\(291\) | −3.86939 | + | 4.85206i | −0.226827 | + | 0.284433i | ||||
\(292\) | −3.25396 | − | 1.56703i | −0.190424 | − | 0.0917033i | ||||
\(293\) | −13.4250 | − | 16.8345i | −0.784299 | − | 0.983480i | −0.999975 | − | 0.00701506i | \(-0.997767\pi\) |
0.215676 | − | 0.976465i | \(-0.430804\pi\) | |||||||
\(294\) | −37.1944 | −2.16922 | ||||||||
\(295\) | −2.52092 | −0.146774 | ||||||||
\(296\) | −1.07363 | − | 1.34629i | −0.0624036 | − | 0.0782516i | ||||
\(297\) | −77.4397 | + | 37.2930i | −4.49351 | + | 2.16396i | ||||
\(298\) | −3.33635 | + | 14.6175i | −0.193269 | + | 0.846769i | ||||
\(299\) | −3.26581 | − | 14.3085i | −0.188867 | − | 0.827480i | ||||
\(300\) | −5.86618 | −0.338684 | ||||||||
\(301\) | 25.5316 | − | 7.05376i | 1.47162 | − | 0.406572i | ||||
\(302\) | −24.6506 | −1.41848 | ||||||||
\(303\) | 2.13131 | + | 9.33790i | 0.122441 | + | 0.536448i | ||||
\(304\) | 1.52103 | − | 6.66407i | 0.0872370 | − | 0.382210i | ||||
\(305\) | −16.6700 | + | 8.02784i | −0.954521 | + | 0.459673i | ||||
\(306\) | −6.18987 | − | 7.76185i | −0.353851 | − | 0.443716i | ||||
\(307\) | 2.74861 | 0.156871 | 0.0784356 | − | 0.996919i | \(-0.475007\pi\) | ||||
0.0784356 | + | 0.996919i | \(0.475007\pi\) | |||||||
\(308\) | 11.4643 | 0.653241 | ||||||||
\(309\) | 16.1902 | + | 20.3019i | 0.921030 | + | 1.15494i | ||||
\(310\) | 9.15068 | + | 4.40674i | 0.519724 | + | 0.250286i | ||||
\(311\) | −14.4347 | + | 18.1006i | −0.818519 | + | 1.02639i | 0.180563 | + | 0.983563i | \(0.442208\pi\) |
−0.999082 | + | 0.0428272i | \(0.986364\pi\) | |||||||
\(312\) | −17.7456 | − | 8.54583i | −1.00465 | − | 0.483812i | ||||
\(313\) | −0.488254 | − | 2.13918i | −0.0275977 | − | 0.120914i | 0.959253 | − | 0.282549i | \(-0.0911801\pi\) |
−0.986850 | + | 0.161636i | \(0.948323\pi\) | |||||||
\(314\) | −6.55622 | − | 8.22124i | −0.369989 | − | 0.463951i | ||||
\(315\) | −10.9589 | − | 48.0141i | −0.617464 | − | 2.70529i | ||||
\(316\) | −0.519101 | + | 0.249986i | −0.0292017 | + | 0.0140628i | ||||
\(317\) | 6.17582 | − | 7.74424i | 0.346869 | − | 0.434960i | −0.577540 | − | 0.816362i | \(-0.695987\pi\) |
0.924409 | + | 0.381402i | \(0.124559\pi\) | |||||||
\(318\) | −13.3265 | + | 16.7109i | −0.747311 | + | 0.937099i | ||||
\(319\) | 1.31363 | − | 5.75539i | 0.0735491 | − | 0.322240i | ||||
\(320\) | −11.4393 | + | 5.50890i | −0.639479 | + | 0.307957i | ||||
\(321\) | −14.9191 | − | 7.18468i | −0.832706 | − | 0.401010i | ||||
\(322\) | −8.22608 | + | 36.0408i | −0.458421 | + | 2.00848i | ||||
\(323\) | 0.624393 | − | 2.73564i | 0.0347421 | − | 0.152215i | ||||
\(324\) | 19.6533 | + | 9.46453i | 1.09185 | + | 0.525807i | ||||
\(325\) | 4.93921 | − | 2.37860i | 0.273978 | − | 0.131941i | ||||
\(326\) | −1.19944 | + | 5.25511i | −0.0664310 | + | 0.291053i | ||||
\(327\) | 34.3449 | − | 43.0671i | 1.89928 | − | 2.38162i | ||||
\(328\) | 24.0130 | − | 30.1114i | 1.32590 | − | 1.66262i | ||||
\(329\) | −18.4148 | + | 8.86812i | −1.01524 | + | 0.488915i | ||||
\(330\) | −6.09064 | − | 26.6848i | −0.335279 | − | 1.46895i | ||||
\(331\) | −1.06793 | − | 1.33914i | −0.0586988 | − | 0.0736059i | 0.751615 | − | 0.659602i | \(-0.229275\pi\) |
−0.810314 | + | 0.585996i | \(0.800704\pi\) | |||||||
\(332\) | 0.202713 | + | 0.888142i | 0.0111253 | + | 0.0487431i | ||||
\(333\) | −4.23316 | − | 2.03858i | −0.231976 | − | 0.111714i | ||||
\(334\) | 1.80124 | − | 2.25869i | 0.0985597 | − | 0.123590i | ||||
\(335\) | 7.20343 | + | 3.46899i | 0.393565 | + | 0.189531i | ||||
\(336\) | 20.7094 | + | 25.9688i | 1.12979 | + | 1.41672i | ||||
\(337\) | 2.00718 | 0.109338 | 0.0546692 | − | 0.998505i | \(-0.482590\pi\) | ||||
0.0546692 | + | 0.998505i | \(0.482590\pi\) | |||||||
\(338\) | −11.1205 | −0.604876 | ||||||||
\(339\) | −0.391411 | − | 0.490814i | −0.0212585 | − | 0.0266574i | ||||
\(340\) | −0.786791 | + | 0.378898i | −0.0426697 | + | 0.0205487i | ||||
\(341\) | −6.21050 | + | 27.2100i | −0.336317 | + | 1.47350i | ||||
\(342\) | −6.19884 | − | 27.1589i | −0.335195 | − | 1.46858i | ||||
\(343\) | 9.35821 | 0.505296 | ||||||||
\(344\) | −16.3241 | − | 11.8534i | −0.880138 | − | 0.639092i | ||||
\(345\) | −37.9381 | −2.04252 | ||||||||
\(346\) | −1.79464 | − | 7.86284i | −0.0964805 | − | 0.422709i | ||||
\(347\) | 3.20528 | − | 14.0432i | 0.172068 | − | 0.753880i | −0.813077 | − | 0.582156i | \(-0.802209\pi\) |
0.985145 | − | 0.171724i | \(-0.0549337\pi\) | |||||||
\(348\) | −2.28679 | + | 1.10126i | −0.122585 | + | 0.0590336i | ||||
\(349\) | −0.691212 | − | 0.866753i | −0.0369997 | − | 0.0463962i | 0.762987 | − | 0.646413i | \(-0.223732\pi\) |
−0.799987 | + | 0.600017i | \(0.795160\pi\) | |||||||
\(350\) | −13.8086 | −0.738099 | ||||||||
\(351\) | −34.5350 | −1.84334 | ||||||||
\(352\) | −9.62959 | − | 12.0751i | −0.513259 | − | 0.643606i | ||||
\(353\) | −22.3544 | − | 10.7653i | −1.18980 | − | 0.572980i | −0.269051 | − | 0.963126i | \(-0.586710\pi\) |
−0.920753 | + | 0.390146i | \(0.872424\pi\) | |||||||
\(354\) | 4.32021 | − | 5.41737i | 0.229616 | − | 0.287930i | ||||
\(355\) | −14.4523 | − | 6.95984i | −0.767047 | − | 0.369390i | ||||
\(356\) | −1.42674 | − | 6.25096i | −0.0756171 | − | 0.331300i | ||||
\(357\) | 8.50137 | + | 10.6604i | 0.449940 | + | 0.564207i | ||||
\(358\) | 5.62047 | + | 24.6249i | 0.297051 | + | 1.30147i | ||||
\(359\) | −23.9281 | + | 11.5232i | −1.26288 | + | 0.608169i | −0.940934 | − | 0.338590i | \(-0.890050\pi\) |
−0.321943 | + | 0.946759i | \(0.604336\pi\) | |||||||
\(360\) | −23.3863 | + | 29.3254i | −1.23256 | + | 1.54559i | ||||
\(361\) | −6.93719 | + | 8.69896i | −0.365115 | + | 0.457840i | ||||
\(362\) | −3.85501 | + | 16.8899i | −0.202615 | + | 0.887713i | ||||
\(363\) | 34.3126 | − | 16.5241i | 1.80094 | − | 0.867288i | ||||
\(364\) | 4.15015 | + | 1.99861i | 0.217527 | + | 0.104756i | ||||
\(365\) | 1.94142 | − | 8.50593i | 0.101619 | − | 0.445220i | ||||
\(366\) | 11.3165 | − | 49.5808i | 0.591523 | − | 2.59163i | ||||
\(367\) | 19.6830 | + | 9.47884i | 1.02744 | + | 0.494791i | 0.870164 | − | 0.492763i | \(-0.164013\pi\) |
0.157281 | + | 0.987554i | \(0.449727\pi\) | |||||||
\(368\) | 16.9834 | − | 8.17876i | 0.885320 | − | 0.426347i | ||||
\(369\) | 23.3839 | − | 102.452i | 1.21732 | − | 5.33342i | ||||
\(370\) | 0.599476 | − | 0.751719i | 0.0311653 | − | 0.0390800i | ||||
\(371\) | 13.4840 | − | 16.9084i | 0.700053 | − | 0.877839i | ||||
\(372\) | 10.8113 | − | 5.20646i | 0.560541 | − | 0.269942i | ||||
\(373\) | 1.03046 | + | 4.51472i | 0.0533549 | + | 0.233763i | 0.994574 | − | 0.104034i | \(-0.0331752\pi\) |
−0.941219 | + | 0.337798i | \(0.890318\pi\) | |||||||
\(374\) | 3.48081 | + | 4.36480i | 0.179989 | + | 0.225699i | ||||
\(375\) | −8.60819 | − | 37.7149i | −0.444525 | − | 1.94759i | ||||
\(376\) | 14.0250 | + | 6.75409i | 0.723285 | + | 0.348316i | ||||
\(377\) | 1.47889 | − | 1.85447i | 0.0761669 | − | 0.0955102i | ||||
\(378\) | 78.3737 | + | 37.7428i | 4.03111 | + | 1.94128i | ||||
\(379\) | −4.47995 | − | 5.61767i | −0.230119 | − | 0.288561i | 0.653344 | − | 0.757061i | \(-0.273366\pi\) |
−0.883463 | + | 0.468501i | \(0.844794\pi\) | |||||||
\(380\) | −2.45040 | −0.125703 | ||||||||
\(381\) | 2.59583 | 0.132989 | ||||||||
\(382\) | 1.13189 | + | 1.41935i | 0.0579126 | + | 0.0726201i | ||||
\(383\) | 6.89985 | − | 3.32279i | 0.352566 | − | 0.169787i | −0.249215 | − | 0.968448i | \(-0.580172\pi\) |
0.601780 | + | 0.798662i | \(0.294458\pi\) | |||||||
\(384\) | 2.85045 | − | 12.4886i | 0.145461 | − | 0.637308i | ||||
\(385\) | 6.16263 | + | 27.0002i | 0.314077 | + | 1.37606i | ||||
\(386\) | −15.5246 | −0.790183 | ||||||||
\(387\) | −54.1628 | − | 9.81388i | −2.75325 | − | 0.498868i | ||||
\(388\) | −1.10541 | −0.0561185 | ||||||||
\(389\) | 5.55162 | + | 24.3232i | 0.281478 | + | 1.23324i | 0.895899 | + | 0.444258i | \(0.146533\pi\) |
−0.614421 | + | 0.788979i | \(0.710610\pi\) | |||||||
\(390\) | 2.44719 | − | 10.7219i | 0.123918 | − | 0.542922i | ||||
\(391\) | 6.97179 | − | 3.35744i | 0.352579 | − | 0.169793i | ||||
\(392\) | −17.8708 | − | 22.4093i | −0.902614 | − | 1.13184i | ||||
\(393\) | 25.0087 | 1.26152 | ||||||||
\(394\) | 27.9022 | 1.40569 | ||||||||
\(395\) | −0.867796 | − | 1.08818i | −0.0436636 | − | 0.0547524i | ||||
\(396\) | −21.4646 | − | 10.3368i | −1.07864 | − | 0.519445i | ||||
\(397\) | 3.38293 | − | 4.24207i | 0.169785 | − | 0.212903i | −0.689658 | − | 0.724135i | \(-0.742239\pi\) |
0.859443 | + | 0.511232i | \(0.170811\pi\) | |||||||
\(398\) | −12.7281 | − | 6.12952i | −0.638001 | − | 0.307245i | ||||
\(399\) | 8.51368 | + | 37.3009i | 0.426217 | + | 1.86738i | ||||
\(400\) | 4.39006 | + | 5.50496i | 0.219503 | + | 0.275248i | ||||
\(401\) | 8.35945 | + | 36.6251i | 0.417451 | + | 1.82897i | 0.546659 | + | 0.837355i | \(0.315899\pi\) |
−0.129208 | + | 0.991617i | \(0.541244\pi\) | |||||||
\(402\) | −19.7995 | + | 9.53495i | −0.987511 | + | 0.475560i | ||||
\(403\) | −6.99182 | + | 8.76747i | −0.348288 | + | 0.436739i | ||||
\(404\) | −1.06369 | + | 1.33382i | −0.0529205 | + | 0.0663603i | ||||
\(405\) | −11.7258 | + | 51.3741i | −0.582660 | + | 2.55280i | ||||
\(406\) | −5.38293 | + | 2.59228i | −0.267150 | + | 0.128653i | ||||
\(407\) | 2.38048 | + | 1.14638i | 0.117996 | + | 0.0568239i | ||||
\(408\) | 2.31082 | − | 10.1244i | 0.114403 | − | 0.501230i | ||||
\(409\) | −5.76771 | + | 25.2700i | −0.285195 | + | 1.24952i | 0.605841 | + | 0.795586i | \(0.292837\pi\) |
−0.891035 | + | 0.453934i | \(0.850020\pi\) | |||||||
\(410\) | 19.3751 | + | 9.33055i | 0.956867 | + | 0.460803i | ||||
\(411\) | −54.3795 | + | 26.1878i | −2.68234 | + | 1.29175i | ||||
\(412\) | −1.02921 | + | 4.50926i | −0.0507055 | + | 0.222155i | ||||
\(413\) | −4.37127 | + | 5.48140i | −0.215096 | + | 0.269722i | ||||
\(414\) | 47.8979 | − | 60.0620i | 2.35405 | − | 2.95189i | ||||
\(415\) | −1.98274 | + | 0.954838i | −0.0973290 | + | 0.0468712i | ||||
\(416\) | −1.38088 | − | 6.05002i | −0.0677030 | − | 0.296626i | ||||
\(417\) | 1.28957 | + | 1.61707i | 0.0631504 | + | 0.0791881i | ||||
\(418\) | 3.48586 | + | 15.2725i | 0.170499 | + | 0.747004i | ||||
\(419\) | −9.50744 | − | 4.57854i | −0.464469 | − | 0.223676i | 0.186988 | − | 0.982362i | \(-0.440128\pi\) |
−0.651457 | + | 0.758686i | \(0.725842\pi\) | |||||||
\(420\) | 7.42400 | − | 9.30941i | 0.362254 | − | 0.454252i | ||||
\(421\) | 13.3337 | + | 6.42116i | 0.649843 | + | 0.312948i | 0.729608 | − | 0.683866i | \(-0.239703\pi\) |
−0.0797647 | + | 0.996814i | \(0.525417\pi\) | |||||||
\(422\) | −10.2299 | − | 12.8279i | −0.497982 | − | 0.624450i | ||||
\(423\) | 42.4740 | 2.06516 | ||||||||
\(424\) | −16.4712 | −0.799910 | ||||||||
\(425\) | 1.80215 | + | 2.25982i | 0.0874170 | + | 0.109617i | ||||
\(426\) | 39.7239 | − | 19.1300i | 1.92463 | − | 0.926852i | ||||
\(427\) | −11.4503 | + | 50.1668i | −0.554117 | + | 2.42774i | ||||
\(428\) | −0.656318 | − | 2.87551i | −0.0317243 | − | 0.138993i | ||||
\(429\) | 30.2211 | 1.45909 | ||||||||
\(430\) | 4.42432 | − | 10.3590i | 0.213360 | − | 0.499556i | ||||
\(431\) | 34.5412 | 1.66379 | 0.831896 | − | 0.554932i | \(-0.187256\pi\) | ||||
0.831896 | + | 0.554932i | \(0.187256\pi\) | |||||||
\(432\) | −9.87015 | − | 43.2440i | −0.474878 | − | 2.08058i | ||||
\(433\) | −5.75323 | + | 25.2066i | −0.276483 | + | 1.21135i | 0.625723 | + | 0.780045i | \(0.284804\pi\) |
−0.902206 | + | 0.431305i | \(0.858053\pi\) | |||||||
\(434\) | 25.4491 | − | 12.2556i | 1.22160 | − | 0.588289i | ||||
\(435\) | −3.82288 | − | 4.79375i | −0.183293 | − | 0.229843i | ||||
\(436\) | 9.81164 | 0.469893 | ||||||||
\(437\) | 21.7131 | 1.03868 | ||||||||
\(438\) | 14.9518 | + | 18.7490i | 0.714426 | + | 0.895861i | ||||
\(439\) | 12.4821 | + | 6.01108i | 0.595740 | + | 0.286893i | 0.707355 | − | 0.706858i | \(-0.249888\pi\) |
−0.111615 | + | 0.993752i | \(0.535602\pi\) | |||||||
\(440\) | 13.1510 | − | 16.4909i | 0.626951 | − | 0.786172i | ||||
\(441\) | −70.4620 | − | 33.9327i | −3.35533 | − | 1.61584i | ||||
\(442\) | 0.499146 | + | 2.18690i | 0.0237420 | + | 0.104020i | ||||
\(443\) | −4.63103 | − | 5.80712i | −0.220027 | − | 0.275905i | 0.659551 | − | 0.751660i | \(-0.270746\pi\) |
−0.879578 | + | 0.475755i | \(0.842175\pi\) | |||||||
\(444\) | −0.252778 | − | 1.10749i | −0.0119963 | − | 0.0525593i | ||||
\(445\) | 13.9550 | − | 6.72038i | 0.661531 | − | 0.318577i | ||||
\(446\) | −4.40346 | + | 5.52176i | −0.208510 | + | 0.261463i | ||||
\(447\) | −26.6810 | + | 33.4569i | −1.26197 | + | 1.58246i | ||||
\(448\) | −7.85744 | + | 34.4257i | −0.371229 | + | 1.62646i | ||||
\(449\) | 19.4964 | − | 9.38895i | 0.920090 | − | 0.443092i | 0.0869866 | − | 0.996209i | \(-0.472276\pi\) |
0.833103 | + | 0.553118i | \(0.186562\pi\) | |||||||
\(450\) | 25.8537 | + | 12.4505i | 1.21876 | + | 0.586922i | ||||
\(451\) | −13.1497 | + | 57.6127i | −0.619197 | + | 2.71288i | ||||
\(452\) | 0.0248819 | − | 0.109015i | 0.00117035 | − | 0.00512762i | ||||
\(453\) | −63.3882 | − | 30.5262i | −2.97824 | − | 1.43424i | ||||
\(454\) | −17.6238 | + | 8.48717i | −0.827126 | + | 0.398323i | ||||
\(455\) | −2.47612 | + | 10.8486i | −0.116082 | + | 0.508590i | ||||
\(456\) | 18.1682 | − | 22.7822i | 0.850802 | − | 1.06687i | ||||
\(457\) | 9.44155 | − | 11.8393i | 0.441657 | − | 0.553820i | −0.510322 | − | 0.859983i | \(-0.670474\pi\) |
0.951979 | + | 0.306163i | \(0.0990452\pi\) | |||||||
\(458\) | 3.01822 | − | 1.45350i | 0.141032 | − | 0.0679175i | ||||
\(459\) | −4.05176 | − | 17.7519i | −0.189120 | − | 0.828589i | ||||
\(460\) | −4.21321 | − | 5.28320i | −0.196442 | − | 0.246330i | ||||
\(461\) | −3.90832 | − | 17.1235i | −0.182029 | − | 0.797520i | −0.980663 | − | 0.195703i | \(-0.937301\pi\) |
0.798634 | − | 0.601816i | \(-0.205556\pi\) | |||||||
\(462\) | −68.5837 | − | 33.0282i | −3.19080 | − | 1.53661i | ||||
\(463\) | −25.4868 | + | 31.9594i | −1.18447 | + | 1.48528i | −0.347807 | + | 0.937566i | \(0.613074\pi\) |
−0.836665 | + | 0.547715i | \(0.815498\pi\) | |||||||
\(464\) | 2.74480 | + | 1.32183i | 0.127424 | + | 0.0613642i | ||||
\(465\) | 18.0736 | + | 22.6636i | 0.838143 | + | 1.05100i | ||||
\(466\) | 3.03265 | 0.140485 | ||||||||
\(467\) | −3.28638 | −0.152075 | −0.0760377 | − | 0.997105i | \(-0.524227\pi\) | ||||
−0.0760377 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(468\) | −5.96827 | − | 7.48398i | −0.275883 | − | 0.345947i | ||||
\(469\) | 20.0336 | − | 9.64765i | 0.925064 | − | 0.445487i | ||||
\(470\) | −1.93411 | + | 8.47389i | −0.0892138 | + | 0.390871i | ||||
\(471\) | −6.67831 | − | 29.2596i | −0.307720 | − | 1.34821i | ||||
\(472\) | 5.33966 | 0.245778 | ||||||||
\(473\) | 30.4579 | + | 5.51874i | 1.40046 | + | 0.253752i | ||||
\(474\) | 3.82564 | 0.175717 | ||||||||
\(475\) | 1.80476 | + | 7.90716i | 0.0828080 | + | 0.362806i | ||||
\(476\) | −0.540430 | + | 2.36778i | −0.0247705 | + | 0.108527i | ||||
\(477\) | −40.4915 | + | 19.4997i | −1.85398 | + | 0.892828i | ||||
\(478\) | −11.6446 | − | 14.6018i | −0.532611 | − | 0.667873i | ||||
\(479\) | −40.0076 | −1.82799 | −0.913997 | − | 0.405721i | \(-0.867020\pi\) | ||||
−0.913997 | + | 0.405721i | \(0.867020\pi\) | |||||||
\(480\) | −16.0413 | −0.732180 | ||||||||
\(481\) | 0.661895 | + | 0.829991i | 0.0301798 | + | 0.0378443i | ||||
\(482\) | −16.3861 | − | 7.89115i | −0.746368 | − | 0.359432i | ||||
\(483\) | −65.7844 | + | 82.4911i | −2.99330 | + | 3.75347i | ||||
\(484\) | 6.11170 | + | 2.94324i | 0.277805 | + | 0.133784i | ||||
\(485\) | −0.594208 | − | 2.60340i | −0.0269816 | − | 0.118214i | ||||
\(486\) | −50.0256 | − | 62.7301i | −2.26921 | − | 2.84550i | ||||
\(487\) | −6.72814 | − | 29.4779i | −0.304881 | − | 1.33577i | −0.862661 | − | 0.505782i | \(-0.831204\pi\) |
0.557780 | − | 0.829989i | \(-0.311653\pi\) | |||||||
\(488\) | 35.3093 | − | 17.0041i | 1.59838 | − | 0.769738i | ||||
\(489\) | −9.59202 | + | 12.0280i | −0.433766 | + | 0.543926i | ||||
\(490\) | 9.97842 | − | 12.5125i | 0.450779 | − | 0.565259i | ||||
\(491\) | 3.05291 | − | 13.3757i | 0.137776 | − | 0.603635i | −0.858145 | − | 0.513407i | \(-0.828383\pi\) |
0.995921 | − | 0.0902285i | \(-0.0287597\pi\) | |||||||
\(492\) | 22.8912 | − | 11.0238i | 1.03202 | − | 0.496993i | ||||
\(493\) | 1.12676 | + | 0.542619i | 0.0507467 | + | 0.0244383i | ||||
\(494\) | −1.40060 | + | 6.13644i | −0.0630161 | + | 0.276091i | ||||
\(495\) | 12.8065 | − | 56.1090i | 0.575610 | − | 2.52191i | ||||
\(496\) | −12.9767 | − | 6.24925i | −0.582671 | − | 0.280600i | ||||
\(497\) | −40.1934 | + | 19.3561i | −1.80292 | + | 0.868241i | ||||
\(498\) | 1.34599 | − | 5.89718i | 0.0603154 | − | 0.264259i | ||||
\(499\) | −17.2985 | + | 21.6917i | −0.774389 | + | 0.971053i | −0.999995 | − | 0.00316569i | \(-0.998992\pi\) |
0.225606 | + | 0.974219i | \(0.427564\pi\) | |||||||
\(500\) | 4.29615 | − | 5.38720i | 0.192129 | − | 0.240923i | ||||
\(501\) | 7.42891 | − | 3.57757i | 0.331899 | − | 0.159834i | ||||
\(502\) | 0.568040 | + | 2.48875i | 0.0253529 | + | 0.111078i | ||||
\(503\) | −13.2100 | − | 16.5648i | −0.589003 | − | 0.738587i | 0.394616 | − | 0.918846i | \(-0.370878\pi\) |
−0.983619 | + | 0.180259i | \(0.942306\pi\) | |||||||
\(504\) | 23.2125 | + | 101.700i | 1.03396 | + | 4.53010i | ||||
\(505\) | −3.71314 | − | 1.78815i | −0.165233 | − | 0.0795719i | ||||
\(506\) | −26.9349 | + | 33.7753i | −1.19740 | + | 1.50150i | ||||
\(507\) | −28.5961 | − | 13.7712i | −1.27000 | − | 0.611598i | ||||
\(508\) | 0.288280 | + | 0.361492i | 0.0127904 | + | 0.0160386i | ||||
\(509\) | 8.07638 | 0.357979 | 0.178990 | − | 0.983851i | \(-0.442717\pi\) | ||||
0.178990 | + | 0.983851i | \(0.442717\pi\) | |||||||
\(510\) | 5.79844 | 0.256759 | ||||||||
\(511\) | −15.1285 | − | 18.9706i | −0.669247 | − | 0.839210i | ||||
\(512\) | 20.6853 | − | 9.96153i | 0.914171 | − | 0.440241i | ||||
\(513\) | 11.3692 | − | 49.8118i | 0.501964 | − | 2.19925i | ||||
\(514\) | −6.24458 | − | 27.3593i | −0.275437 | − | 1.20677i | ||||
\(515\) | −11.1732 | −0.492351 | ||||||||
\(516\) | −6.30966 | − | 11.7177i | −0.277767 | − | 0.515842i | ||||
\(517\) | −23.8848 | −1.05045 | ||||||||
\(518\) | −0.595021 | − | 2.60696i | −0.0261437 | − | 0.114543i | ||||
\(519\) | 5.12212 | − | 22.4415i | 0.224836 | − | 0.985071i | ||||
\(520\) | 7.63565 | − | 3.67713i | 0.334845 | − | 0.161253i | ||||
\(521\) | −9.37047 | − | 11.7502i | −0.410528 | − | 0.514786i | 0.532984 | − | 0.846126i | \(-0.321071\pi\) |
−0.943511 | + | 0.331340i | \(0.892499\pi\) | |||||||
\(522\) | 12.4158 | 0.543423 | ||||||||
\(523\) | 17.9718 | 0.785850 | 0.392925 | − | 0.919571i | \(-0.371463\pi\) | ||||
0.392925 | + | 0.919571i | \(0.371463\pi\) | |||||||
\(524\) | 2.77734 | + | 3.48268i | 0.121329 | + | 0.152141i | ||||
\(525\) | −35.5083 | − | 17.0999i | −1.54971 | − | 0.746301i | ||||
\(526\) | 5.26620 | − | 6.60360i | 0.229617 | − | 0.287931i | ||||
\(527\) | −5.32702 | − | 2.56536i | −0.232049 | − | 0.111749i | ||||
\(528\) | 8.63722 | + | 37.8421i | 0.375887 | + | 1.64687i | ||||
\(529\) | 22.9932 | + | 28.8326i | 0.999704 | + | 1.25359i | ||||
\(530\) | −2.04650 | − | 8.96630i | −0.0888943 | − | 0.389471i | ||||
\(531\) | 13.1266 | − | 6.32145i | 0.569647 | − | 0.274327i | ||||
\(532\) | −4.24898 | + | 5.32805i | −0.184217 | + | 0.231000i | ||||
\(533\) | −14.8041 | + | 18.5637i | −0.641235 | + | 0.804083i | ||||
\(534\) | −9.47342 | + | 41.5058i | −0.409955 | + | 1.79613i | ||||
\(535\) | 6.41947 | − | 3.09145i | 0.277538 | − | 0.133655i | ||||
\(536\) | −15.2579 | − | 7.34780i | −0.659039 | − | 0.317376i | ||||
\(537\) | −16.0415 | + | 70.2823i | −0.692241 | + | 3.03291i | ||||
\(538\) | −0.595925 | + | 2.61092i | −0.0256921 | + | 0.112565i | ||||
\(539\) | 39.6236 | + | 19.0817i | 1.70671 | + | 0.821908i | ||||
\(540\) | −14.3262 | + | 6.89916i | −0.616503 | + | 0.296892i | ||||
\(541\) | −3.19025 | + | 13.9774i | −0.137159 | + | 0.600935i | 0.858892 | + | 0.512157i | \(0.171153\pi\) |
−0.996051 | + | 0.0887781i | \(0.971704\pi\) | |||||||
\(542\) | −10.9019 | + | 13.6706i | −0.468277 | + | 0.587201i | ||||
\(543\) | −30.8287 | + | 38.6580i | −1.32299 | + | 1.65897i | ||||
\(544\) | 2.94786 | − | 1.41962i | 0.126389 | − | 0.0608656i | ||||
\(545\) | 5.27423 | + | 23.1079i | 0.225923 | + | 0.989834i | ||||
\(546\) | −19.0698 | − | 23.9127i | −0.816111 | − | 1.02337i | ||||
\(547\) | −0.315850 | − | 1.38383i | −0.0135048 | − | 0.0591682i | 0.967727 | − | 0.252003i | \(-0.0810891\pi\) |
−0.981231 | + | 0.192834i | \(0.938232\pi\) | |||||||
\(548\) | −9.68599 | − | 4.66453i | −0.413765 | − | 0.199259i | ||||
\(549\) | 66.6712 | − | 83.6031i | 2.84546 | − | 3.56809i | ||||
\(550\) | −14.5386 | − | 7.00142i | −0.619928 | − | 0.298542i | ||||
\(551\) | 2.18795 | + | 2.74360i | 0.0932099 | + | 0.116881i | ||||
\(552\) | 80.3580 | 3.42026 | ||||||||
\(553\) | −3.87086 | −0.164606 | ||||||||
\(554\) | 6.43932 | + | 8.07465i | 0.273580 | + | 0.343059i | ||||
\(555\) | 2.47243 | − | 1.19066i | 0.104949 | − | 0.0505407i | ||||
\(556\) | −0.0819774 | + | 0.359167i | −0.00347662 | + | 0.0152321i | ||||
\(557\) | 1.50136 | + | 6.57788i | 0.0636146 | + | 0.278714i | 0.996724 | − | 0.0808790i | \(-0.0257727\pi\) |
−0.933109 | + | 0.359593i | \(0.882916\pi\) | |||||||
\(558\) | −58.6985 | −2.48491 | ||||||||
\(559\) | 10.0638 | + | 7.30763i | 0.425655 | + | 0.309080i | ||||
\(560\) | −14.2920 | −0.603949 | ||||||||
\(561\) | 3.54564 | + | 15.5345i | 0.149697 | + | 0.655865i | ||||
\(562\) | −0.744382 | + | 3.26135i | −0.0313999 | + | 0.137572i | ||||
\(563\) | 32.5354 | − | 15.6682i | 1.37120 | − | 0.660337i | 0.404099 | − | 0.914715i | \(-0.367585\pi\) |
0.967105 | + | 0.254378i | \(0.0818709\pi\) | |||||||
\(564\) | 6.40273 | + | 8.02877i | 0.269604 | + | 0.338072i | ||||
\(565\) | 0.270121 | 0.0113641 | ||||||||
\(566\) | 39.0717 | 1.64230 | ||||||||
\(567\) | 91.3735 | + | 114.579i | 3.83732 | + | 4.81185i | ||||
\(568\) | 30.6119 | + | 14.7419i | 1.28445 | + | 0.618557i | ||||
\(569\) | 19.3831 | − | 24.3056i | 0.812580 | − | 1.01894i | −0.186753 | − | 0.982407i | \(-0.559796\pi\) |
0.999332 | − | 0.0365358i | \(-0.0116323\pi\) | |||||||
\(570\) | 14.6591 | + | 7.05946i | 0.614003 | + | 0.295688i | ||||
\(571\) | −8.83850 | − | 38.7240i | −0.369880 | − | 1.62055i | −0.727102 | − | 0.686529i | \(-0.759133\pi\) |
0.357223 | − | 0.934019i | \(-0.383724\pi\) | |||||||
\(572\) | 3.35620 | + | 4.20854i | 0.140330 | + | 0.175968i | ||||
\(573\) | 1.15297 | + | 5.05149i | 0.0481660 | + | 0.211029i | ||||
\(574\) | 53.8843 | − | 25.9493i | 2.24909 | − | 1.08310i | ||||
\(575\) | −13.9452 | + | 17.4867i | −0.581555 | + | 0.729247i | ||||
\(576\) | 45.7514 | − | 57.3704i | 1.90631 | − | 2.39043i | ||||
\(577\) | −5.19245 | + | 22.7496i | −0.216165 | + | 0.947079i | 0.744117 | + | 0.668049i | \(0.232870\pi\) |
−0.960282 | + | 0.279031i | \(0.909987\pi\) | |||||||
\(578\) | −1.06557 | + | 0.513150i | −0.0443217 | + | 0.0213442i | ||||
\(579\) | −39.9212 | − | 19.2250i | −1.65907 | − | 0.798964i | ||||
\(580\) | 0.243020 | − | 1.06474i | 0.0100908 | − | 0.0442109i | ||||
\(581\) | −1.36190 | + | 5.96688i | −0.0565012 | + | 0.247548i | ||||
\(582\) | 6.61292 | + | 3.18462i | 0.274114 | + | 0.132007i | ||||
\(583\) | 22.7700 | − | 10.9654i | 0.943036 | − | 0.454142i | ||||
\(584\) | −4.11220 | + | 18.0167i | −0.170164 | + | 0.745537i | ||||
\(585\) | 14.4177 | − | 18.0792i | 0.596097 | − | 0.747482i | ||||
\(586\) | −15.8777 | + | 19.9099i | −0.655900 | + | 0.822472i | ||||
\(587\) | 26.2585 | − | 12.6454i | 1.08381 | − | 0.521933i | 0.195274 | − | 0.980749i | \(-0.437441\pi\) |
0.888531 | + | 0.458816i | \(0.151726\pi\) | |||||||
\(588\) | −4.20755 | − | 18.4345i | −0.173516 | − | 0.760224i | ||||
\(589\) | −10.3441 | − | 12.9710i | −0.426220 | − | 0.534463i | ||||
\(590\) | 0.663439 | + | 2.90672i | 0.0273134 | + | 0.119668i | ||||
\(591\) | 71.7498 | + | 34.5529i | 2.95139 | + | 1.42132i | ||||
\(592\) | −0.850125 | + | 1.06602i | −0.0349399 | + | 0.0438133i | ||||
\(593\) | −30.6513 | − | 14.7609i | −1.25870 | − | 0.606157i | −0.318868 | − | 0.947799i | \(-0.603303\pi\) |
−0.939830 | + | 0.341642i | \(0.889017\pi\) | |||||||
\(594\) | 63.3803 | + | 79.4763i | 2.60052 | + | 3.26095i | ||||
\(595\) | −5.86698 | −0.240523 | ||||||||
\(596\) | −7.62222 | −0.312218 | ||||||||
\(597\) | −25.1394 | − | 31.5238i | −1.02889 | − | 1.29018i | ||||
\(598\) | −15.6387 | + | 7.53121i | −0.639515 | + | 0.307974i | ||||
\(599\) | 1.93222 | − | 8.46560i | 0.0789483 | − | 0.345895i | −0.919991 | − | 0.391939i | \(-0.871804\pi\) |
0.998939 | + | 0.0460442i | \(0.0146615\pi\) | |||||||
\(600\) | 6.67924 | + | 29.2637i | 0.272679 | + | 1.19468i | ||||
\(601\) | −15.4227 | −0.629106 | −0.314553 | − | 0.949240i | \(-0.601855\pi\) | ||||
−0.314553 | + | 0.949240i | \(0.601855\pi\) | |||||||
\(602\) | −14.8525 | − | 27.5826i | −0.605342 | − | 1.12418i | ||||
\(603\) | −46.2076 | −1.88172 | ||||||||
\(604\) | −2.78855 | − | 12.2174i | −0.113465 | − | 0.497121i | ||||
\(605\) | −3.64644 | + | 15.9761i | −0.148249 | + | 0.649521i | ||||
\(606\) | 10.2060 | − | 4.91497i | 0.414592 | − | 0.199657i | ||||
\(607\) | 21.2962 | + | 26.7046i | 0.864385 | + | 1.08391i | 0.995707 | + | 0.0925652i | \(0.0295067\pi\) |
−0.131321 | + | 0.991340i | \(0.541922\pi\) | |||||||
\(608\) | 9.18089 | 0.372334 | ||||||||
\(609\) | −17.0522 | −0.690990 | ||||||||
\(610\) | 13.6435 | + | 17.1084i | 0.552409 | + | 0.692699i | ||||
\(611\) | −8.64644 | − | 4.16391i | −0.349798 | − | 0.168454i | ||||
\(612\) | 3.14675 | − | 3.94590i | 0.127200 | − | 0.159504i | ||||
\(613\) | −37.8068 | − | 18.2068i | −1.52700 | − | 0.735366i | −0.533145 | − | 0.846024i | \(-0.678990\pi\) |
−0.993859 | + | 0.110657i | \(0.964704\pi\) | |||||||
\(614\) | −0.723360 | − | 3.16925i | −0.0291924 | − | 0.127900i | ||||
\(615\) | 38.2679 | + | 47.9865i | 1.54311 | + | 1.93500i | ||||
\(616\) | −13.0533 | − | 57.1902i | −0.525932 | − | 2.30426i | ||||
\(617\) | −2.17839 | + | 1.04906i | −0.0876989 | + | 0.0422336i | −0.477219 | − | 0.878784i | \(-0.658355\pi\) |
0.389520 | + | 0.921018i | \(0.372641\pi\) | |||||||
\(618\) | 19.1480 | − | 24.0109i | 0.770246 | − | 0.965858i | ||||
\(619\) | 15.4413 | − | 19.3628i | 0.620638 | − | 0.778255i | −0.367796 | − | 0.929906i | \(-0.619888\pi\) |
0.988434 | + | 0.151651i | \(0.0484591\pi\) | |||||||
\(620\) | −1.14893 | + | 5.03381i | −0.0461423 | + | 0.202163i | ||||
\(621\) | 126.946 | − | 61.1337i | 5.09415 | − | 2.45321i | ||||
\(622\) | 24.6695 | + | 11.8802i | 0.989157 | + | 0.476353i | ||||
\(623\) | 9.58540 | − | 41.9964i | 0.384031 | − | 1.68255i | ||||
\(624\) | −3.47040 | + | 15.2048i | −0.138927 | + | 0.608680i | ||||
\(625\) | 1.97614 | + | 0.951661i | 0.0790458 | + | 0.0380664i | ||||
\(626\) | −2.33806 | + | 1.12595i | −0.0934476 | + | 0.0450020i | ||||
\(627\) | −9.94904 | + | 43.5896i | −0.397327 | + | 1.74080i | ||||
\(628\) | 3.33299 | − | 4.17944i | 0.133001 | − | 0.166778i | ||||
\(629\) | −0.348982 | + | 0.437610i | −0.0139148 | + | 0.0174486i | ||||
\(630\) | −52.4779 | + | 25.2720i | −2.09077 | + | 1.00686i | ||||
\(631\) | −3.16529 | − | 13.8680i | −0.126008 | − | 0.552078i | −0.998037 | − | 0.0626238i | \(-0.980053\pi\) |
0.872029 | − | 0.489454i | \(-0.162804\pi\) | |||||||
\(632\) | 1.83811 | + | 2.30492i | 0.0731162 | + | 0.0916848i | ||||
\(633\) | −10.4204 | − | 45.6547i | −0.414173 | − | 1.81461i | ||||
\(634\) | −10.5547 | − | 5.08288i | −0.419181 | − | 0.201867i | ||||
\(635\) | −0.696404 | + | 0.873263i | −0.0276359 | + | 0.0346544i | ||||
\(636\) | −9.78986 | − | 4.71455i | −0.388193 | − | 0.186944i | ||||
\(637\) | 11.0174 | + | 13.8154i | 0.436525 | + | 0.547385i | ||||
\(638\) | −6.98189 | −0.276416 | ||||||||
\(639\) | 92.7064 | 3.66741 | ||||||||
\(640\) | 3.43658 | + | 4.30934i | 0.135843 | + | 0.170342i | ||||
\(641\) | 21.2817 | − | 10.2487i | 0.840577 | − | 0.404801i | 0.0365057 | − | 0.999333i | \(-0.488377\pi\) |
0.804071 | + | 0.594533i | \(0.202663\pi\) | |||||||
\(642\) | −4.35789 | + | 19.0931i | −0.171992 | + | 0.753546i | ||||
\(643\) | −4.11382 | − | 18.0238i | −0.162233 | − | 0.710791i | −0.988959 | − | 0.148186i | \(-0.952656\pi\) |
0.826726 | − | 0.562605i | \(-0.190201\pi\) | |||||||
\(644\) | −18.7933 | −0.740559 | ||||||||
\(645\) | 24.2051 | − | 21.1590i | 0.953077 | − | 0.833135i | ||||
\(646\) | −3.31862 | −0.130569 | ||||||||
\(647\) | 5.41220 | + | 23.7124i | 0.212776 | + | 0.932231i | 0.962671 | + | 0.270674i | \(0.0872467\pi\) |
−0.749895 | + | 0.661557i | \(0.769896\pi\) | |||||||
\(648\) | 24.8369 | − | 108.817i | 0.975685 | − | 4.27475i | ||||
\(649\) | −7.38163 | + | 3.55481i | −0.289754 | + | 0.139538i | ||||
\(650\) | −4.04248 | − | 5.06911i | −0.158559 | − | 0.198827i | ||||
\(651\) | 80.6184 | 3.15968 | ||||||||
\(652\) | −2.74025 | −0.107316 | ||||||||
\(653\) | 6.36078 | + | 7.97617i | 0.248917 | + | 0.312132i | 0.890555 | − | 0.454876i | \(-0.150316\pi\) |
−0.641638 | + | 0.767007i | \(0.721745\pi\) | |||||||
\(654\) | −58.6967 | − | 28.2668i | −2.29522 | − | 1.10532i | ||||
\(655\) | −6.70927 | + | 8.41316i | −0.262153 | + | 0.328729i | ||||
\(656\) | −27.4761 | − | 13.2318i | −1.07276 | − | 0.516614i | ||||
\(657\) | 11.2203 | + | 49.1592i | 0.437745 | + | 1.91788i | ||||
\(658\) | 15.0716 | + | 18.8991i | 0.587551 | + | 0.736765i | ||||
\(659\) | −4.08115 | − | 17.8807i | −0.158979 | − | 0.696533i | −0.990091 | − | 0.140428i | \(-0.955152\pi\) |
0.831112 | − | 0.556105i | \(-0.187705\pi\) | |||||||
\(660\) | 12.5367 | − | 6.03735i | 0.487990 | − | 0.235004i | ||||
\(661\) | 5.48422 | − | 6.87700i | 0.213312 | − | 0.267484i | −0.663652 | − | 0.748042i | \(-0.730994\pi\) |
0.876963 | + | 0.480558i | \(0.159566\pi\) | |||||||
\(662\) | −1.26303 | + | 1.58379i | −0.0490891 | + | 0.0615558i | ||||
\(663\) | −1.42462 | + | 6.24168i | −0.0553277 | + | 0.242407i | ||||
\(664\) | 4.19972 | − | 2.02248i | 0.162981 | − | 0.0784874i | ||||
\(665\) | −14.8324 | − | 7.14290i | −0.575176 | − | 0.276990i | ||||
\(666\) | −1.23651 | + | 5.41750i | −0.0479137 | + | 0.209924i | ||||
\(667\) | −2.15341 | + | 9.43470i | −0.0833804 | + | 0.365313i | ||||
\(668\) | 1.32323 | + | 0.637232i | 0.0511971 | + | 0.0246552i | ||||
\(669\) | −18.1613 | + | 8.74600i | −0.702155 | + | 0.338140i | ||||
\(670\) | 2.10412 | − | 9.21877i | 0.0812894 | − | 0.356152i | ||||
\(671\) | −37.4919 | + | 47.0134i | −1.44736 | + | 1.81493i | ||||
\(672\) | −27.8155 | + | 34.8795i | −1.07301 | + | 1.34551i | ||||
\(673\) | 17.0952 | − | 8.23260i | 0.658971 | − | 0.317343i | −0.0743444 | − | 0.997233i | \(-0.523686\pi\) |
0.733315 | + | 0.679889i | \(0.237972\pi\) | |||||||
\(674\) | −0.528237 | − | 2.31436i | −0.0203469 | − | 0.0891458i | ||||
\(675\) | 32.8143 | + | 41.1479i | 1.26302 | + | 1.58378i | ||||
\(676\) | −1.25799 | − | 5.51161i | −0.0483842 | − | 0.211985i | ||||
\(677\) | 42.8018 | + | 20.6123i | 1.64501 | + | 0.792194i | 0.999598 | + | 0.0283582i | \(0.00902790\pi\) |
0.645410 | + | 0.763836i | \(0.276686\pi\) | |||||||
\(678\) | −0.462918 | + | 0.580481i | −0.0177783 | + | 0.0222932i | ||||
\(679\) | −6.69108 | − | 3.22226i | −0.256780 | − | 0.123659i | ||||
\(680\) | 2.78599 | + | 3.49352i | 0.106838 | + | 0.133970i | ||||
\(681\) | −55.8292 | −2.13938 | ||||||||
\(682\) | 33.0086 | 1.26396 | ||||||||
\(683\) | 29.4443 | + | 36.9219i | 1.12665 | + | 1.41278i | 0.898401 | + | 0.439177i | \(0.144730\pi\) |
0.228252 | + | 0.973602i | \(0.426699\pi\) | |||||||
\(684\) | 12.7594 | − | 6.14460i | 0.487867 | − | 0.234945i | ||||
\(685\) | 5.77898 | − | 25.3194i | 0.220804 | − | 0.967404i | ||||
\(686\) | −2.46283 | − | 10.7904i | −0.0940313 | − | 0.411978i | ||||
\(687\) | 9.56121 | 0.364783 | ||||||||
\(688\) | −6.27419 | + | 14.6903i | −0.239201 | + | 0.560061i | ||||
\(689\) | 10.1545 | 0.386855 | ||||||||
\(690\) | 9.98428 | + | 43.7440i | 0.380095 | + | 1.66530i | ||||
\(691\) | 5.36193 | − | 23.4922i | 0.203977 | − | 0.893684i | −0.764508 | − | 0.644614i | \(-0.777018\pi\) |
0.968486 | − | 0.249070i | \(-0.0801248\pi\) | |||||||
\(692\) | 3.69400 | − | 1.77894i | 0.140425 | − | 0.0676251i | ||||
\(693\) | −99.7949 | − | 125.139i | −3.79089 | − | 4.75363i | ||||
\(694\) | −17.0359 | −0.646674 | ||||||||
\(695\) | −0.889958 | −0.0337580 | ||||||||
\(696\) | 8.09740 | + | 10.1538i | 0.306931 | + | 0.384879i | ||||
\(697\) | −11.2791 | − | 5.43173i | −0.427227 | − | 0.205742i | ||||
\(698\) | −0.817489 | + | 1.02510i | −0.0309424 | + | 0.0388006i | ||||
\(699\) | 7.79838 | + | 3.75550i | 0.294962 | + | 0.142046i | ||||
\(700\) | −1.56207 | − | 6.84387i | −0.0590407 | − | 0.258674i | ||||
\(701\) | 0.956738 | + | 1.19971i | 0.0361355 | + | 0.0453125i | 0.799571 | − | 0.600572i | \(-0.205060\pi\) |
−0.763435 | + | 0.645884i | \(0.776489\pi\) | |||||||
\(702\) | 9.08868 | + | 39.8201i | 0.343030 | + | 1.50291i | ||||
\(703\) | −1.41505 | + | 0.681450i | −0.0533695 | + | 0.0257014i | ||||
\(704\) | −25.7279 | + | 32.2617i | −0.969655 | + | 1.21591i | ||||
\(705\) | −15.4672 | + | 19.3952i | −0.582528 | + | 0.730467i | ||||
\(706\) | −6.52972 | + | 28.6086i | −0.245749 | + | 1.07670i | ||||
\(707\) | −10.3267 | + | 4.97306i | −0.388374 | + | 0.187031i | ||||
\(708\) | 3.17370 | + | 1.52837i | 0.119275 | + | 0.0574398i | ||||
\(709\) | −9.27346 | + | 40.6297i | −0.348272 | + | 1.52588i | 0.432830 | + | 0.901476i | \(0.357515\pi\) |
−0.781102 | + | 0.624404i | \(0.785342\pi\) | |||||||
\(710\) | −4.22151 | + | 18.4956i | −0.158430 | + | 0.694129i | ||||
\(711\) | 7.24739 | + | 3.49016i | 0.271798 | + | 0.130891i | ||||
\(712\) | −29.5586 | + | 14.2347i | −1.10776 | + | 0.533468i | ||||
\(713\) | 10.1808 | − | 44.6048i | 0.381273 | − | 1.67046i | ||||
\(714\) | 10.0545 | − | 12.6079i | 0.376279 | − | 0.471839i | ||||
\(715\) | −8.10763 | + | 10.1667i | −0.303208 | + | 0.380211i | ||||
\(716\) | −11.5689 | + | 5.57129i | −0.432350 | + | 0.208209i | ||||
\(717\) | −11.8614 | − | 51.9683i | −0.442973 | − | 1.94079i | ||||
\(718\) | 19.5839 | + | 24.5574i | 0.730864 | + | 0.916474i | ||||
\(719\) | 3.88911 | + | 17.0393i | 0.145039 | + | 0.635458i | 0.994221 | + | 0.107357i | \(0.0342388\pi\) |
−0.849181 | + | 0.528101i | \(0.822904\pi\) | |||||||
\(720\) | 26.7589 | + | 12.8864i | 0.997247 | + | 0.480249i | ||||
\(721\) | −19.3743 | + | 24.2947i | −0.721538 | + | 0.904780i | ||||
\(722\) | 11.8559 | + | 5.70950i | 0.441231 | + | 0.212486i | ||||
\(723\) | −32.3644 | − | 40.5837i | −1.20365 | − | 1.50932i | ||||
\(724\) | −8.80714 | −0.327315 | ||||||||
\(725\) | −3.61479 | −0.134250 | ||||||||
\(726\) | −28.0830 | − | 35.2150i | −1.04226 | − | 1.30695i | ||||
\(727\) | 8.01022 | − | 3.85752i | 0.297083 | − | 0.143067i | −0.279405 | − | 0.960173i | \(-0.590137\pi\) |
0.576488 | + | 0.817106i | \(0.304423\pi\) | |||||||
\(728\) | 5.24476 | − | 22.9788i | 0.194384 | − | 0.851651i | ||||
\(729\) | −26.7377 | − | 117.145i | −0.990284 | − | 4.33872i | ||||
\(730\) | −10.3186 | −0.381908 | ||||||||
\(731\) | −2.57560 | + | 6.03045i | −0.0952619 | + | 0.223044i | ||||
\(732\) | 25.8537 | 0.955579 | ||||||||
\(733\) | 5.41880 | + | 23.7413i | 0.200148 | + | 0.876905i | 0.970846 | + | 0.239704i | \(0.0770505\pi\) |
−0.770698 | + | 0.637200i | \(0.780092\pi\) | |||||||
\(734\) | 5.74941 | − | 25.1898i | 0.212215 | − | 0.929773i | ||||
\(735\) | 41.1542 | − | 19.8188i | 1.51799 | − | 0.731028i | ||||
\(736\) | 15.7856 | + | 19.7945i | 0.581866 | + | 0.729636i | ||||
\(737\) | 25.9844 | 0.957147 | ||||||||
\(738\) | −124.285 | −4.57498 | ||||||||
\(739\) | −0.986059 | − | 1.23648i | −0.0362728 | − | 0.0454846i | 0.763364 | − | 0.645968i | \(-0.223546\pi\) |
−0.799637 | + | 0.600484i | \(0.794975\pi\) | |||||||
\(740\) | 0.440386 | + | 0.212079i | 0.0161889 | + | 0.00779616i | ||||
\(741\) | −11.2007 | + | 14.0452i | −0.411468 | + | 0.515965i | ||||
\(742\) | −23.0446 | − | 11.0977i | −0.845994 | − | 0.407409i | ||||
\(743\) | 5.62077 | + | 24.6262i | 0.206206 | + | 0.903448i | 0.967065 | + | 0.254530i | \(0.0819208\pi\) |
−0.760859 | + | 0.648917i | \(0.775222\pi\) | |||||||
\(744\) | −38.2824 | − | 48.0046i | −1.40350 | − | 1.75993i | ||||
\(745\) | −4.09731 | − | 17.9515i | −0.150114 | − | 0.657691i | ||||
\(746\) | 4.93445 | − | 2.37631i | 0.180663 | − | 0.0870027i | ||||
\(747\) | 7.92993 | − | 9.94382i | 0.290141 | − | 0.363825i | ||||
\(748\) | −1.76955 | + | 2.21894i | −0.0647010 | + | 0.0811325i | ||||
\(749\) | 4.40939 | − | 19.3188i | 0.161116 | − | 0.705894i | ||||
\(750\) | −41.2213 | + | 19.8511i | −1.50519 | + | 0.724860i | ||||
\(751\) | −29.5304 | − | 14.2211i | −1.07758 | − | 0.518934i | −0.191036 | − | 0.981583i | \(-0.561185\pi\) |
−0.886542 | + | 0.462649i | \(0.846899\pi\) | |||||||
\(752\) | 2.74279 | − | 12.0169i | 0.100019 | − | 0.438213i | ||||
\(753\) | −1.62125 | + | 7.10317i | −0.0590818 | + | 0.258854i | ||||
\(754\) | −2.52748 | − | 1.21717i | −0.0920455 | − | 0.0443268i | ||||
\(755\) | 27.2749 | − | 13.1349i | 0.992636 | − | 0.478028i | ||||
\(756\) | −9.84039 | + | 43.1136i | −0.357891 | + | 1.56802i | ||||
\(757\) | 0.0268894 | − | 0.0337182i | 0.000977311 | − | 0.00122551i | −0.781343 | − | 0.624102i | \(-0.785465\pi\) |
0.782320 | + | 0.622877i | \(0.214036\pi\) | |||||||
\(758\) | −5.29839 | + | 6.64397i | −0.192446 | + | 0.241320i | ||||
\(759\) | −111.088 | + | 53.4972i | −4.03224 | + | 1.94183i | ||||
\(760\) | 2.79002 | + | 12.2239i | 0.101205 | + | 0.443407i | ||||
\(761\) | −4.35665 | − | 5.46307i | −0.157929 | − | 0.198036i | 0.696572 | − | 0.717487i | \(-0.254708\pi\) |
−0.854500 | + | 0.519451i | \(0.826136\pi\) | |||||||
\(762\) | −0.683153 | − | 2.99309i | −0.0247480 | − | 0.108428i | ||||
\(763\) | 59.3904 | + | 28.6009i | 2.15008 | + | 1.03542i | ||||
\(764\) | −0.575420 | + | 0.721554i | −0.0208180 | + | 0.0261049i | ||||
\(765\) | 10.9847 | + | 5.28996i | 0.397153 | + | 0.191259i | ||||
\(766\) | −5.64716 | − | 7.08131i | −0.204040 | − | 0.255858i | ||||
\(767\) | −3.29191 | −0.118864 | ||||||||
\(768\) | 43.8655 | 1.58286 | ||||||||
\(769\) | −4.84293 | − | 6.07284i | −0.174641 | − | 0.218992i | 0.686806 | − | 0.726841i | \(-0.259012\pi\) |
−0.861446 | + | 0.507849i | \(0.830441\pi\) | |||||||
\(770\) | 29.5104 | − | 14.2115i | 1.06348 | − | 0.512146i | ||||
\(771\) | 17.8228 | − | 78.0866i | 0.641871 | − | 2.81222i | ||||
\(772\) | −1.75620 | − | 7.69440i | −0.0632069 | − | 0.276928i | ||||
\(773\) | 49.9354 | 1.79605 | 0.898025 | − | 0.439944i | \(-0.145002\pi\) | ||||
0.898025 | + | 0.439944i | \(0.145002\pi\) | |||||||
\(774\) | 2.93843 | + | 65.0345i | 0.105620 | + | 2.33762i | ||||
\(775\) | 17.0898 | 0.613883 | ||||||||
\(776\) | 1.25862 | + | 5.51435i | 0.0451817 | + | 0.197954i | ||||
\(777\) | 1.69826 | − | 7.44056i | 0.0609247 | − | 0.266929i | ||||
\(778\) | 26.5846 | − | 12.8024i | 0.953102 | − | 0.458990i | ||||
\(779\) | −21.9019 | − | 27.4641i | −0.784716 | − | 0.984003i | ||||
\(780\) | 5.59086 | 0.200185 | ||||||||
\(781\) | −52.1326 | −1.86545 | ||||||||
\(782\) | −5.70604 | − | 7.15514i | −0.204047 | − | 0.255867i | ||||
\(783\) | 20.5165 | + | 9.88025i | 0.733201 | + | 0.353091i | ||||
\(784\) | −14.1505 | + | 17.7442i | −0.505376 | + | 0.633722i | ||||
\(785\) | 11.6348 | + | 5.60305i | 0.415266 | + | 0.199981i | ||||
\(786\) | −6.58162 | − | 28.8360i | −0.234759 | − | 1.02854i | ||||
\(787\) | −27.2903 | − | 34.2209i | −0.972793 | − | 1.21984i | −0.975534 | − | 0.219848i | \(-0.929444\pi\) |
0.00274133 | − | 0.999996i | \(-0.499127\pi\) | |||||||
\(788\) | 3.15639 | + | 13.8290i | 0.112442 | + | 0.492639i | ||||
\(789\) | 21.7195 | − | 10.4596i | 0.773234 | − | 0.372370i | ||||
\(790\) | −1.02633 | + | 1.28698i | −0.0365153 | + | 0.0457887i | ||||
\(791\) | 0.468389 | − | 0.587342i | 0.0166540 | − | 0.0208835i | ||||
\(792\) | −27.1260 | + | 118.847i | −0.963879 | + | 4.22303i | ||||
\(793\) | −21.7683 | + | 10.4830i | −0.773013 | + | 0.372264i | ||||
\(794\) | −5.78156 | − | 2.78425i | −0.205180 | − | 0.0988094i | ||||
\(795\) | 5.84095 | − | 25.5909i | 0.207157 | − | 0.907615i | ||||
\(796\) | 1.59810 | − | 7.00175i | 0.0566433 | − | 0.248170i | ||||
\(797\) | 7.07696 | + | 3.40809i | 0.250679 | + | 0.120721i | 0.555004 | − | 0.831848i | \(-0.312717\pi\) |
−0.304325 | + | 0.952568i | \(0.598431\pi\) | |||||||
\(798\) | 40.7687 | − | 19.6332i | 1.44320 | − | 0.695007i | ||||
\(799\) | 1.12593 | − | 4.93303i | 0.0398326 | − | 0.174518i | ||||
\(800\) | −5.89642 | + | 7.39388i | −0.208470 | + | 0.261413i | ||||
\(801\) | −55.8128 | + | 69.9870i | −1.97205 | + | 2.47287i | ||||
\(802\) | 40.0302 | − | 19.2775i | 1.41351 | − | 0.680713i | ||||
\(803\) | −6.30962 | − | 27.6442i | −0.222661 | − | 0.975544i | ||||
\(804\) | −6.96555 | − | 8.73452i | −0.245656 | − | 0.308043i | ||||
\(805\) | −10.1023 | − | 44.2610i | −0.356059 | − | 1.56000i | ||||
\(806\) | 11.9493 | + | 5.75447i | 0.420895 | + | 0.202693i | ||||
\(807\) | −4.76565 | + | 5.97593i | −0.167759 | + | 0.210363i | ||||
\(808\) | 7.86495 | + | 3.78756i | 0.276688 | + | 0.133246i | ||||
\(809\) | 23.4558 | + | 29.4126i | 0.824662 | + | 1.03409i | 0.998781 | + | 0.0493685i | \(0.0157209\pi\) |
−0.174119 | + | 0.984725i | \(0.555708\pi\) | |||||||
\(810\) | 62.3222 | 2.18978 | ||||||||
\(811\) | −19.2743 | −0.676814 | −0.338407 | − | 0.941000i | \(-0.609888\pi\) | ||||
−0.338407 | + | 0.941000i | \(0.609888\pi\) | |||||||
\(812\) | −1.89373 | − | 2.37467i | −0.0664570 | − | 0.0833345i | ||||
\(813\) | −44.9630 | + | 21.6530i | −1.57692 | + | 0.759405i | ||||
\(814\) | 0.695339 | − | 3.04648i | 0.0243716 | − | 0.106779i | ||||
\(815\) | −1.47301 | − | 6.45370i | −0.0515974 | − | 0.226063i | ||||
\(816\) | −8.22285 | −0.287857 | ||||||||
\(817\) | −13.8533 | + | 12.1099i | −0.484667 | + | 0.423673i | ||||
\(818\) | 30.6551 | 1.07183 | ||||||||
\(819\) | −14.3105 | − | 62.6984i | −0.500050 | − | 2.19086i | ||||
\(820\) | −2.43268 | + | 10.6583i | −0.0849530 | + | 0.372203i | ||||
\(821\) | 0.976024 | − | 0.470029i | 0.0340635 | − | 0.0164041i | −0.416774 | − | 0.909010i | \(-0.636840\pi\) |
0.450838 | + | 0.892606i | \(0.351125\pi\) | |||||||
\(822\) | 44.5067 | + | 55.8097i | 1.55235 | + | 1.94659i | ||||
\(823\) | −31.2259 | −1.08847 | −0.544234 | − | 0.838934i | \(-0.683180\pi\) | ||||
−0.544234 | + | 0.838934i | \(0.683180\pi\) | |||||||
\(824\) | 23.6664 | 0.824460 | ||||||||
\(825\) | −28.7153 | − | 36.0079i | −0.999740 | − | 1.25363i | ||||
\(826\) | 7.47066 | + | 3.59768i | 0.259937 | + | 0.125179i | ||||
\(827\) | −9.27101 | + | 11.6255i | −0.322384 | + | 0.404257i | −0.916443 | − | 0.400164i | \(-0.868953\pi\) |
0.594059 | + | 0.804421i | \(0.297525\pi\) | |||||||
\(828\) | 35.1866 | + | 16.9450i | 1.22282 | + | 0.588879i | ||||
\(829\) | −1.10478 | − | 4.84037i | −0.0383707 | − | 0.168113i | 0.952112 | − | 0.305749i | \(-0.0989068\pi\) |
−0.990483 | + | 0.137636i | \(0.956050\pi\) | |||||||
\(830\) | 1.62277 | + | 2.03489i | 0.0563271 | + | 0.0706320i | ||||
\(831\) | 6.55923 | + | 28.7379i | 0.227537 | + | 0.996906i | ||||
\(832\) | −14.9379 | + | 7.19371i | −0.517878 | + | 0.249397i | ||||
\(833\) | −5.80889 | + | 7.28412i | −0.201266 | + | 0.252380i | ||||
\(834\) | 1.52516 | − | 1.91249i | 0.0528119 | − | 0.0662240i | ||||
\(835\) | −0.789480 | + | 3.45894i | −0.0273211 | + | 0.119702i | ||||
\(836\) | −7.17512 | + | 3.45536i | −0.248157 | + | 0.119506i | ||||
\(837\) | −96.9969 | − | 46.7112i | −3.35270 | − | 1.61458i | ||||
\(838\) | −2.77713 | + | 12.1674i | −0.0959342 | + | 0.420315i | ||||
\(839\) | 1.15860 | − | 5.07618i | 0.0399995 | − | 0.175249i | −0.950982 | − | 0.309245i | \(-0.899924\pi\) |
0.990982 | + | 0.133996i | \(0.0427809\pi\) | |||||||
\(840\) | −54.8933 | − | 26.4352i | −1.89400 | − | 0.912101i | ||||
\(841\) | 24.7190 | − | 11.9040i | 0.852378 | − | 0.410484i | ||||
\(842\) | 3.89477 | − | 17.0641i | 0.134223 | − | 0.588067i | ||||
\(843\) | −5.95287 | + | 7.46466i | −0.205028 | + | 0.257097i | ||||
\(844\) | 5.20057 | − | 6.52131i | 0.179011 | − | 0.224473i | ||||
\(845\) | 12.3044 | − | 5.92551i | 0.423286 | − | 0.203844i | ||||
\(846\) | −11.1780 | − | 48.9741i | −0.384308 | − | 1.68376i | ||||
\(847\) | 28.4149 | + | 35.6312i | 0.976349 | + | 1.22430i | ||||
\(848\) | 2.90217 | + | 12.7152i | 0.0996609 | + | 0.436643i | ||||
\(849\) | 100.472 | + | 48.3846i | 3.44818 | + | 1.66055i | ||||
\(850\) | 2.13138 | − | 2.67267i | 0.0731058 | − | 0.0916718i | ||||
\(851\) | −3.90228 | − | 1.87924i | −0.133768 | − | 0.0644194i | ||||
\(852\) | 13.9750 | + | 17.5241i | 0.478776 | + | 0.600366i | ||||
\(853\) | −10.5608 | −0.361593 | −0.180797 | − | 0.983521i | \(-0.557868\pi\) | ||||
−0.180797 | + | 0.983521i | \(0.557868\pi\) | |||||||
\(854\) | 60.8576 | 2.08251 | ||||||||
\(855\) | 21.3302 | + | 26.7473i | 0.729479 | + | 0.914737i | ||||
\(856\) | −13.5973 | + | 6.54813i | −0.464747 | + | 0.223810i | ||||
\(857\) | −8.44317 | + | 36.9919i | −0.288413 | + | 1.26362i | 0.598289 | + | 0.801280i | \(0.295847\pi\) |
−0.886703 | + | 0.462340i | \(0.847010\pi\) | |||||||
\(858\) | −7.95337 | − | 34.8460i | −0.271524 | − | 1.18962i | ||||
\(859\) | −34.4662 | −1.17597 | −0.587985 | − | 0.808872i | \(-0.700079\pi\) | ||||
−0.587985 | + | 0.808872i | \(0.700079\pi\) | |||||||
\(860\) | 5.63468 | + | 1.02096i | 0.192141 | + | 0.0348145i | ||||
\(861\) | 170.696 | 5.81732 | ||||||||
\(862\) | −9.09032 | − | 39.8273i | −0.309618 | − | 1.35652i | ||||
\(863\) | −6.70665 | + | 29.3837i | −0.228297 | + | 1.00023i | 0.722731 | + | 0.691129i | \(0.242887\pi\) |
−0.951028 | + | 0.309105i | \(0.899971\pi\) | |||||||
\(864\) | 53.6761 | − | 25.8490i | 1.82610 | − | 0.879402i | ||||
\(865\) | 6.17537 | + | 7.74367i | 0.209969 | + | 0.263293i | ||||
\(866\) | 30.5782 | 1.03909 | ||||||||
\(867\) | −3.37554 | −0.114639 | ||||||||
\(868\) | 8.95308 | + | 11.2268i | 0.303887 | + | 0.381063i | ||||
\(869\) | −4.07550 | − | 1.96266i | −0.138252 | − | 0.0665786i | ||||
\(870\) | −4.52129 | + | 5.66951i | −0.153286 | + | 0.192215i | ||||
\(871\) | 9.40649 | + | 4.52993i | 0.318727 | + | 0.153491i | ||||
\(872\) | −11.1715 | − | 48.9457i | −0.378316 | − | 1.65751i | ||||
\(873\) | 9.62235 | + | 12.0660i | 0.325667 | + | 0.408374i | ||||
\(874\) | −5.71430 | − | 25.0360i | −0.193289 | − | 0.846855i | ||||
\(875\) | 41.7085 | − | 20.0857i | 1.41000 | − | 0.679022i | ||||
\(876\) | −7.60107 | + | 9.53144i | −0.256816 | + | 0.322038i | ||||
\(877\) | 0.0362964 | − | 0.0455143i | 0.00122564 | − | 0.00153691i | −0.781218 | − | 0.624258i | \(-0.785401\pi\) |
0.782444 | + | 0.622721i | \(0.213973\pi\) | |||||||
\(878\) | 3.64604 | − | 15.9743i | 0.123048 | − | 0.539108i | ||||
\(879\) | −65.4845 | + | 31.5357i | −2.20874 | + | 1.06367i | ||||
\(880\) | −15.0476 | − | 7.24656i | −0.507256 | − | 0.244281i | ||||
\(881\) | −9.39976 | + | 41.1830i | −0.316686 | + | 1.38749i | 0.526640 | + | 0.850089i | \(0.323452\pi\) |
−0.843326 | + | 0.537403i | \(0.819405\pi\) | |||||||
\(882\) | −20.5820 | + | 90.1755i | −0.693031 | + | 3.03637i | ||||
\(883\) | −16.4610 | − | 7.92718i | −0.553955 | − | 0.266771i | 0.135894 | − | 0.990723i | \(-0.456609\pi\) |
−0.689850 | + | 0.723952i | \(0.742323\pi\) | |||||||
\(884\) | −1.02742 | + | 0.494779i | −0.0345558 | + | 0.0166412i | ||||
\(885\) | −1.89353 | + | 8.29612i | −0.0636505 | + | 0.278871i | ||||
\(886\) | −5.47707 | + | 6.86803i | −0.184006 | + | 0.230736i | ||||
\(887\) | 11.2404 | − | 14.0950i | 0.377416 | − | 0.473265i | −0.556453 | − | 0.830879i | \(-0.687838\pi\) |
0.933870 | + | 0.357614i | \(0.116410\pi\) | |||||||
\(888\) | −5.23695 | + | 2.52198i | −0.175741 | + | 0.0846322i | ||||
\(889\) | 0.691228 | + | 3.02847i | 0.0231830 | + | 0.101572i | ||||
\(890\) | −11.4214 | − | 14.3220i | −0.382847 | − | 0.480075i | ||||
\(891\) | 38.1088 | + | 166.966i | 1.27669 | + | 5.59356i | ||||
\(892\) | −3.23486 | − | 1.55782i | −0.108311 | − | 0.0521598i | ||||
\(893\) | 8.85234 | − | 11.1005i | 0.296232 | − | 0.371463i | ||||
\(894\) | 45.5987 | + | 21.9592i | 1.52505 | + | 0.734426i | ||||
\(895\) | −19.3401 | − | 24.2517i | −0.646467 | − | 0.810645i | ||||
\(896\) | 15.3291 | 0.512109 | ||||||||
\(897\) | −49.5408 | −1.65412 | ||||||||
\(898\) | −15.9567 | − | 20.0091i | −0.532483 | − | 0.667712i | ||||
\(899\) | 6.66202 | − | 3.20826i | 0.222191 | − | 0.107001i | ||||
\(900\) | −3.24612 | + | 14.2222i | −0.108204 | + | 0.474073i | ||||
\(901\) | 1.19136 | + | 5.21969i | 0.0396900 | + | 0.173893i | ||||
\(902\) | 69.8903 | 2.32709 | ||||||||
\(903\) | −4.03573 | − | 89.3204i | −0.134301 | − | 2.97240i | ||||
\(904\) | −0.572154 | −0.0190296 | ||||||||
\(905\) | −4.73426 | − | 20.7421i | −0.157372 | − | 0.689492i | ||||
\(906\) | −18.5157 | + | 81.1226i | −0.615143 | + | 2.69512i | ||||
\(907\) | −20.0829 | + | 9.67140i | −0.666841 | + | 0.321134i | −0.736500 | − | 0.676437i | \(-0.763523\pi\) |
0.0696595 | + | 0.997571i | \(0.477809\pi\) | |||||||
\(908\) | −6.20012 | − | 7.77470i | −0.205758 | − | 0.258012i | ||||
\(909\) | 23.8186 | 0.790012 | ||||||||
\(910\) | 13.1605 | 0.436265 | ||||||||
\(911\) | −15.1241 | − | 18.9650i | −0.501083 | − | 0.628338i | 0.465390 | − | 0.885105i | \(-0.345914\pi\) |
−0.966473 | + | 0.256768i | \(0.917342\pi\) | |||||||
\(912\) | −20.7883 | − | 10.0111i | −0.688370 | − | 0.331501i | ||||
\(913\) | −4.45932 | + | 5.59181i | −0.147582 | + | 0.185062i | ||||
\(914\) | −16.1359 | − | 7.77066i | −0.533730 | − | 0.257031i | ||||
\(915\) | 13.8976 | + | 60.8893i | 0.459440 | + | 2.01294i | ||||
\(916\) | 1.06182 | + | 1.33148i | 0.0350835 | + | 0.0439934i | ||||
\(917\) | 6.65941 | + | 29.1768i | 0.219913 | + | 0.963502i | ||||
\(918\) | −19.4023 | + | 9.34367i | −0.640372 | + | 0.308387i | ||||
\(919\) | −10.4831 | + | 13.1454i | −0.345806 | + | 0.433628i | −0.924070 | − | 0.382222i | \(-0.875159\pi\) |
0.578264 | + | 0.815850i | \(0.303730\pi\) | |||||||
\(920\) | −21.5583 | + | 27.0332i | −0.710755 | + | 0.891258i | ||||
\(921\) | 2.06455 | − | 9.04540i | 0.0680294 | − | 0.298056i | ||||
\(922\) | −18.7154 | + | 9.01288i | −0.616360 | + | 0.296823i | ||||
\(923\) | −18.8723 | − | 9.08841i | −0.621189 | − | 0.299149i | ||||
\(924\) | 8.61118 | − | 37.7280i | 0.283287 | − | 1.24116i | ||||
\(925\) | 0.360003 | − | 1.57728i | 0.0118368 | − | 0.0518605i | ||||
\(926\) | 43.5579 | + | 20.9764i | 1.43140 | + | 0.689326i | ||||
\(927\) | 58.1798 | − | 28.0179i | 1.91088 | − | 0.920229i | ||||
\(928\) | −0.910521 | + | 3.98925i | −0.0298893 | + | 0.130954i | ||||
\(929\) | 17.1196 | − | 21.4674i | 0.561677 | − | 0.704321i | −0.417189 | − | 0.908820i | \(-0.636985\pi\) |
0.978867 | + | 0.204498i | \(0.0655563\pi\) | |||||||
\(930\) | 21.3755 | − | 26.8040i | 0.700929 | − | 0.878937i | ||||
\(931\) | −23.5538 | + | 11.3429i | −0.771944 | + | 0.371748i | ||||
\(932\) | 0.343063 | + | 1.50306i | 0.0112374 | + | 0.0492343i | ||||
\(933\) | 48.7250 | + | 61.0992i | 1.59518 | + | 2.00030i | ||||
\(934\) | 0.864886 | + | 3.78931i | 0.0282999 | + | 0.123990i | ||||
\(935\) | −6.17715 | − | 2.97476i | −0.202015 | − | 0.0972851i | ||||
\(936\) | −30.5386 | + | 38.2942i | −0.998185 | + | 1.25168i | ||||
\(937\) | −8.34254 | − | 4.01755i | −0.272539 | − | 0.131248i | 0.292623 | − | 0.956228i | \(-0.405472\pi\) |
−0.565162 | + | 0.824980i | \(0.691186\pi\) | |||||||
\(938\) | −16.3964 | − | 20.5604i | −0.535361 | − | 0.671322i | ||||
\(939\) | −7.40658 | −0.241705 | ||||||||
\(940\) | −4.41866 | −0.144121 | ||||||||
\(941\) | −15.3335 | − | 19.2277i | −0.499859 | − | 0.626804i | 0.466338 | − | 0.884606i | \(-0.345573\pi\) |
−0.966198 | + | 0.257803i | \(0.917001\pi\) | |||||||
\(942\) | −31.9799 | + | 15.4007i | −1.04196 | + | 0.501781i | ||||
\(943\) | 21.5561 | − | 94.4435i | 0.701964 | − | 3.07550i | ||||
\(944\) | −0.940833 | − | 4.12206i | −0.0306215 | − | 0.134162i | ||||
\(945\) | −106.829 | −3.47514 | ||||||||
\(946\) | −1.65240 | − | 36.5715i | −0.0537241 | − | 1.18904i | ||||
\(947\) | 13.7639 | 0.447268 | 0.223634 | − | 0.974673i | \(-0.428208\pi\) | ||||
0.223634 | + | 0.974673i | \(0.428208\pi\) | |||||||
\(948\) | 0.432769 | + | 1.89608i | 0.0140557 | + | 0.0615819i | ||||
\(949\) | 2.53518 | − | 11.1073i | 0.0822953 | − | 0.360559i | ||||
\(950\) | 8.64229 | − | 4.16191i | 0.280393 | − | 0.135030i | ||||
\(951\) | −20.8467 | − | 26.1410i | −0.676001 | − | 0.847678i | ||||
\(952\) | 12.4271 | 0.402764 | ||||||||
\(953\) | −9.13005 | −0.295751 | −0.147876 | − | 0.989006i | \(-0.547244\pi\) | ||||
−0.147876 | + | 0.989006i | \(0.547244\pi\) | |||||||
\(954\) | 33.1401 | + | 41.5564i | 1.07295 | + | 1.34544i | ||||
\(955\) | −2.00869 | − | 0.967332i | −0.0649995 | − | 0.0313021i | ||||
\(956\) | 5.91977 | − | 7.42315i | 0.191459 | − | 0.240082i | ||||
\(957\) | −17.9537 | − | 8.64606i | −0.580362 | − | 0.279487i | ||||
\(958\) | 10.5289 | + | 46.1302i | 0.340174 | + | 1.49040i | ||||
\(959\) | −45.0328 | − | 56.4693i | −1.45418 | − | 1.82349i | ||||
\(960\) | 9.53685 | + | 41.7837i | 0.307800 | + | 1.34856i | ||||
\(961\) | −3.56627 | + | 1.71743i | −0.115041 | + | 0.0554009i | ||||
\(962\) | 0.782817 | − | 0.981621i | 0.0252390 | − | 0.0316487i | ||||
\(963\) | −25.6745 | + | 32.1948i | −0.827350 | + | 1.03746i | ||||
\(964\) | 2.05740 | − | 9.01405i | 0.0662643 | − | 0.290323i | ||||
\(965\) | 17.1774 | − | 8.27222i | 0.552961 | − | 0.266292i | ||||
\(966\) | 112.428 | + | 54.1425i | 3.61731 | + | 1.74201i | ||||
\(967\) | −6.18163 | + | 27.0835i | −0.198788 | + | 0.870946i | 0.772872 | + | 0.634562i | \(0.218820\pi\) |
−0.971660 | + | 0.236384i | \(0.924038\pi\) | |||||||
\(968\) | 7.72367 | − | 33.8396i | 0.248248 | − | 1.08765i | ||||
\(969\) | −8.53374 | − | 4.10963i | −0.274143 | − | 0.132020i | ||||
\(970\) | −2.84543 | + | 1.37029i | −0.0913614 | + | 0.0439973i | ||||
\(971\) | 3.33926 | − | 14.6303i | 0.107162 | − | 0.469507i | −0.892662 | − | 0.450727i | \(-0.851165\pi\) |
0.999824 | − | 0.0187799i | \(-0.00597818\pi\) | |||||||
\(972\) | 25.4316 | − | 31.8902i | 0.815718 | − | 1.02288i | ||||
\(973\) | −1.54318 | + | 1.93509i | −0.0494722 | + | 0.0620362i | ||||
\(974\) | −32.2184 | + | 15.5156i | −1.03235 | + | 0.497151i | ||||
\(975\) | −4.11776 | − | 18.0411i | −0.131874 | − | 0.577777i | ||||
\(976\) | −19.3480 | − | 24.2617i | −0.619315 | − | 0.776597i | ||||
\(977\) | 6.02168 | + | 26.3827i | 0.192651 | + | 0.844057i | 0.975175 | + | 0.221437i | \(0.0710747\pi\) |
−0.782524 | + | 0.622620i | \(0.786068\pi\) | |||||||
\(978\) | 16.3931 | + | 7.89451i | 0.524194 | + | 0.252439i | ||||
\(979\) | 31.3858 | − | 39.3565i | 1.00309 | − | 1.25784i | ||||
\(980\) | 7.33032 | + | 3.53010i | 0.234158 | + | 0.112765i | ||||
\(981\) | −85.4085 | − | 107.099i | −2.72688 | − | 3.41940i | ||||
\(982\) | −16.2261 | −0.517795 | ||||||||
\(983\) | −1.54954 | −0.0494228 | −0.0247114 | − | 0.999695i | \(-0.507867\pi\) | ||||
−0.0247114 | + | 0.999695i | \(0.507867\pi\) | |||||||
\(984\) | −81.0568 | − | 101.642i | −2.58400 | − | 3.24023i | ||||
\(985\) | −30.8728 | + | 14.8675i | −0.983689 | + | 0.473719i | ||||
\(986\) | 0.329127 | − | 1.44200i | 0.0104815 | − | 0.0459226i | ||||
\(987\) | 15.3522 | + | 67.2626i | 0.488667 | + | 2.14099i | ||||
\(988\) | −3.19981 | −0.101800 | ||||||||
\(989\) | −49.9291 | − | 9.04678i | −1.58765 | − | 0.287671i | ||||
\(990\) | −68.0661 | −2.16328 | ||||||||
\(991\) | −1.95212 | − | 8.55280i | −0.0620112 | − | 0.271689i | 0.934412 | − | 0.356195i | \(-0.115926\pi\) |
−0.996423 | + | 0.0845059i | \(0.973069\pi\) | |||||||
\(992\) | 4.30471 | − | 18.8602i | 0.136675 | − | 0.598810i | ||||
\(993\) | −5.20914 | + | 2.50859i | −0.165307 | + | 0.0796077i | ||||
\(994\) | 32.8962 | + | 41.2505i | 1.04340 | + | 1.30839i | ||||
\(995\) | 17.3492 | 0.550008 | ||||||||
\(996\) | 3.07505 | 0.0974368 | ||||||||
\(997\) | −5.73582 | − | 7.19249i | −0.181655 | − | 0.227789i | 0.682664 | − | 0.730733i | \(-0.260821\pi\) |
−0.864319 | + | 0.502944i | \(0.832250\pi\) | |||||||
\(998\) | 29.5638 | + | 14.2372i | 0.935826 | + | 0.450670i | ||||
\(999\) | −6.35443 | + | 7.96820i | −0.201045 | + | 0.252103i |
(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 | 731.2.k.b.188.10 | yes | 180 | |
43.35 | even | 7 | inner | 731.2.k.b.35.10 | ✓ | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.k.b.35.10 | ✓ | 180 | 43.35 | even | 7 | inner | |
731.2.k.b.188.10 | yes | 180 | 1.1 | even | 1 | trivial |