Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 483.19 |
Dual form | 483.2.bf.a.178.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.78242 | − | 0.265689i | −1.96747 | − | 0.187870i | −0.969180 | − | 0.246354i | \(-0.920767\pi\) |
−0.998288 | + | 0.0584833i | \(0.981374\pi\) | |||||||
\(3\) | 0.690079 | − | 0.723734i | 0.398417 | − | 0.417848i | ||||
\(4\) | 5.70742 | + | 1.10001i | 2.85371 | + | 0.550007i | ||||
\(5\) | 0.0901076 | − | 0.0464537i | 0.0402973 | − | 0.0207747i | −0.437960 | − | 0.898994i | \(-0.644299\pi\) |
0.478257 | + | 0.878220i | \(0.341269\pi\) | |||||||
\(6\) | −2.11238 | + | 1.83039i | −0.862375 | + | 0.747252i | ||||
\(7\) | 2.63520 | − | 0.236108i | 0.996010 | − | 0.0892403i | ||||
\(8\) | −10.2245 | − | 3.00217i | −3.61489 | − | 1.06143i | ||||
\(9\) | −0.0475819 | − | 0.998867i | −0.0158606 | − | 0.332956i | ||||
\(10\) | −0.263059 | + | 0.105313i | −0.0831867 | + | 0.0333029i | ||||
\(11\) | −0.291164 | − | 3.04921i | −0.0877893 | − | 0.919371i | −0.926875 | − | 0.375371i | \(-0.877515\pi\) |
0.839085 | − | 0.544000i | \(-0.183091\pi\) | |||||||
\(12\) | 4.73469 | − | 3.37155i | 1.36679 | − | 0.973284i | ||||
\(13\) | −5.20984 | − | 0.749062i | −1.44495 | − | 0.207753i | −0.625196 | − | 0.780468i | \(-0.714981\pi\) |
−0.819754 | + | 0.572715i | \(0.805890\pi\) | |||||||
\(14\) | −7.39495 | − | 0.0431912i | −1.97638 | − | 0.0115433i | ||||
\(15\) | 0.0285612 | − | 0.0972706i | 0.00737448 | − | 0.0251152i | ||||
\(16\) | 16.8589 | + | 6.74928i | 4.21472 | + | 1.68732i | ||||
\(17\) | 0.524494 | − | 1.51543i | 0.127208 | − | 0.367545i | −0.863355 | − | 0.504596i | \(-0.831641\pi\) |
0.990564 | + | 0.137052i | \(0.0437626\pi\) | |||||||
\(18\) | −0.132995 | + | 2.79191i | −0.0313472 | + | 0.658060i | ||||
\(19\) | −2.69452 | − | 7.78530i | −0.618165 | − | 1.78607i | −0.618136 | − | 0.786071i | \(-0.712112\pi\) |
−2.92877e−5 | − | 1.00000i | \(-0.500009\pi\) | |||||||
\(20\) | 0.565381 | − | 0.166011i | 0.126423 | − | 0.0371212i | ||||
\(21\) | 1.64761 | − | 2.07011i | 0.359539 | − | 0.451736i | ||||
\(22\) | 8.56154i | 1.82533i | ||||||||
\(23\) | 4.54332 | + | 1.53566i | 0.947348 | + | 0.320206i | ||||
\(24\) | −9.22846 | + | 5.32805i | −1.88375 | + | 1.08758i | ||||
\(25\) | −2.89432 | + | 4.06451i | −0.578865 | + | 0.812902i | ||||
\(26\) | 14.2970 | + | 3.46840i | 2.80386 | + | 0.680210i | ||||
\(27\) | −0.755750 | − | 0.654861i | −0.145444 | − | 0.126028i | ||||
\(28\) | 15.2999 | + | 1.55119i | 2.89140 | + | 0.293147i | ||||
\(29\) | 2.32069 | + | 2.67822i | 0.430942 | + | 0.497334i | 0.929139 | − | 0.369730i | \(-0.120550\pi\) |
−0.498197 | + | 0.867064i | \(0.666004\pi\) | |||||||
\(30\) | −0.105313 | + | 0.263059i | −0.0192274 | + | 0.0480278i | ||||
\(31\) | 4.80214 | − | 1.16499i | 0.862490 | − | 0.209238i | 0.219970 | − | 0.975507i | \(-0.429404\pi\) |
0.642520 | + | 0.766269i | \(0.277889\pi\) | |||||||
\(32\) | −26.1723 | − | 13.4928i | −4.62665 | − | 2.38520i | ||||
\(33\) | −2.40774 | − | 1.89347i | −0.419134 | − | 0.329611i | ||||
\(34\) | −1.86199 | + | 4.07720i | −0.319329 | + | 0.699234i | ||||
\(35\) | 0.226483 | − | 0.143690i | 0.0382826 | − | 0.0242880i | ||||
\(36\) | 0.827198 | − | 5.75329i | 0.137866 | − | 0.958882i | ||||
\(37\) | −2.77761 | + | 0.132314i | −0.456637 | + | 0.0217523i | −0.274641 | − | 0.961547i | \(-0.588559\pi\) |
−0.181996 | + | 0.983299i | \(0.558256\pi\) | |||||||
\(38\) | 5.42882 | + | 22.3779i | 0.880671 | + | 3.63017i | ||||
\(39\) | −4.13733 | + | 3.25363i | −0.662502 | + | 0.520998i | ||||
\(40\) | −1.06076 | + | 0.204445i | −0.167721 | + | 0.0323256i | ||||
\(41\) | 1.21272 | − | 1.88703i | 0.189395 | − | 0.294705i | −0.733550 | − | 0.679635i | \(-0.762138\pi\) |
0.922946 | + | 0.384930i | \(0.125775\pi\) | |||||||
\(42\) | −5.13436 | + | 5.32217i | −0.792249 | + | 0.821229i | ||||
\(43\) | −2.33410 | − | 7.94921i | −0.355947 | − | 1.21224i | −0.921777 | − | 0.387721i | \(-0.873262\pi\) |
0.565830 | − | 0.824522i | \(-0.308556\pi\) | |||||||
\(44\) | 1.69238 | − | 17.7234i | 0.255136 | − | 2.67190i | ||||
\(45\) | −0.0506886 | − | 0.0877951i | −0.00755620 | − | 0.0130877i | ||||
\(46\) | −12.2334 | − | 5.47995i | −1.80372 | − | 0.807975i | ||||
\(47\) | 1.46454 | + | 0.845553i | 0.213625 | + | 0.123337i | 0.602995 | − | 0.797745i | \(-0.293974\pi\) |
−0.389370 | + | 0.921081i | \(0.627307\pi\) | |||||||
\(48\) | 16.5187 | − | 7.54382i | 2.38426 | − | 1.08886i | ||||
\(49\) | 6.88851 | − | 1.24438i | 0.984072 | − | 0.177769i | ||||
\(50\) | 9.13312 | − | 10.5402i | 1.29162 | − | 1.49061i | ||||
\(51\) | −0.734823 | − | 1.42536i | −0.102896 | − | 0.199590i | ||||
\(52\) | −28.9108 | − | 10.0061i | −4.00920 | − | 1.38760i | ||||
\(53\) | −3.97193 | − | 5.05072i | −0.545586 | − | 0.693769i | 0.432580 | − | 0.901596i | \(-0.357603\pi\) |
−0.978166 | + | 0.207827i | \(0.933361\pi\) | |||||||
\(54\) | 1.92882 | + | 2.02289i | 0.262480 | + | 0.275281i | ||||
\(55\) | −0.167883 | − | 0.261231i | −0.0226373 | − | 0.0352244i | ||||
\(56\) | −27.6523 | − | 5.49723i | −3.69519 | − | 0.734599i | ||||
\(57\) | −7.49392 | − | 3.42236i | −0.992594 | − | 0.453303i | ||||
\(58\) | −5.74557 | − | 8.06853i | −0.754431 | − | 1.05945i | ||||
\(59\) | −2.85216 | − | 7.12436i | −0.371320 | − | 0.927513i | −0.989897 | − | 0.141789i | \(-0.954715\pi\) |
0.618577 | − | 0.785724i | \(-0.287710\pi\) | |||||||
\(60\) | 0.270010 | − | 0.523746i | 0.0348581 | − | 0.0676153i | ||||
\(61\) | 5.20658 | − | 4.96446i | 0.666634 | − | 0.635634i | −0.279220 | − | 0.960227i | \(-0.590076\pi\) |
0.945854 | + | 0.324593i | \(0.105227\pi\) | |||||||
\(62\) | −13.6711 | + | 1.96561i | −1.73623 | + | 0.249632i | ||||
\(63\) | −0.361228 | − | 2.62098i | −0.0455104 | − | 0.330212i | ||||
\(64\) | 38.6836 | + | 24.8604i | 4.83545 | + | 3.10755i | ||||
\(65\) | −0.504243 | + | 0.174520i | −0.0625436 | + | 0.0216466i | ||||
\(66\) | 6.19628 | + | 5.90814i | 0.762709 | + | 0.727242i | ||||
\(67\) | −2.83994 | − | 2.02232i | −0.346954 | − | 0.247065i | 0.393273 | − | 0.919422i | \(-0.371343\pi\) |
−0.740227 | + | 0.672357i | \(0.765282\pi\) | |||||||
\(68\) | 4.66049 | − | 8.07221i | 0.565168 | − | 0.978900i | ||||
\(69\) | 4.24666 | − | 2.22843i | 0.511237 | − | 0.268272i | ||||
\(70\) | −0.668347 | + | 0.339631i | −0.0798828 | + | 0.0405937i | ||||
\(71\) | 2.38473 | + | 5.22184i | 0.283016 | + | 0.619718i | 0.996738 | − | 0.0807113i | \(-0.0257192\pi\) |
−0.713722 | + | 0.700429i | \(0.752992\pi\) | |||||||
\(72\) | −2.51227 | + | 10.3557i | −0.296074 | + | 1.22043i | ||||
\(73\) | −1.33979 | + | 6.95147i | −0.156810 | + | 0.813608i | 0.815292 | + | 0.579050i | \(0.196576\pi\) |
−0.972102 | + | 0.234558i | \(0.924636\pi\) | |||||||
\(74\) | 7.76365 | + | 0.369828i | 0.902505 | + | 0.0429916i | ||||
\(75\) | 0.944311 | + | 4.89955i | 0.109040 | + | 0.565752i | ||||
\(76\) | −6.81480 | − | 47.3980i | −0.781711 | − | 5.43692i | ||||
\(77\) | −1.48722 | − | 7.96651i | −0.169484 | − | 0.907869i | ||||
\(78\) | 12.3762 | − | 7.95372i | 1.40133 | − | 0.900582i | ||||
\(79\) | 2.21869 | − | 2.82129i | 0.249622 | − | 0.317420i | −0.645053 | − | 0.764138i | \(-0.723165\pi\) |
0.894675 | + | 0.446718i | \(0.147407\pi\) | |||||||
\(80\) | 1.83264 | − | 0.174996i | 0.204896 | − | 0.0195652i | ||||
\(81\) | −0.995472 | + | 0.0950560i | −0.110608 | + | 0.0105618i | ||||
\(82\) | −3.87566 | + | 4.92831i | −0.427995 | + | 0.544240i | ||||
\(83\) | −1.82142 | + | 1.17056i | −0.199927 | + | 0.128485i | −0.636774 | − | 0.771050i | \(-0.719732\pi\) |
0.436847 | + | 0.899536i | \(0.356095\pi\) | |||||||
\(84\) | 11.6808 | − | 10.0026i | 1.27448 | − | 1.09137i | ||||
\(85\) | −0.0231362 | − | 0.160916i | −0.00250948 | − | 0.0174538i | ||||
\(86\) | 4.38243 | + | 22.7382i | 0.472569 | + | 2.45192i | ||||
\(87\) | 3.53978 | + | 0.168621i | 0.379505 | + | 0.0180780i | ||||
\(88\) | −6.17725 | + | 32.0506i | −0.658497 | + | 3.41661i | ||||
\(89\) | −0.298459 | + | 1.23026i | −0.0316366 | + | 0.130408i | −0.985440 | − | 0.170024i | \(-0.945616\pi\) |
0.953803 | + | 0.300432i | \(0.0971307\pi\) | |||||||
\(90\) | 0.117711 | + | 0.257750i | 0.0124078 | + | 0.0271693i | ||||
\(91\) | −13.9058 | − | 0.743841i | −1.45773 | − | 0.0779757i | ||||
\(92\) | 24.2414 | + | 13.7623i | 2.52734 | + | 1.43482i | ||||
\(93\) | 2.47072 | − | 4.27941i | 0.256201 | − | 0.443754i | ||||
\(94\) | −3.85031 | − | 2.74180i | −0.397130 | − | 0.282795i | ||||
\(95\) | −0.604453 | − | 0.576344i | −0.0620155 | − | 0.0591317i | ||||
\(96\) | −27.8261 | + | 9.63071i | −2.83999 | + | 0.982930i | ||||
\(97\) | −3.47143 | − | 2.23095i | −0.352470 | − | 0.226519i | 0.352409 | − | 0.935846i | \(-0.385363\pi\) |
−0.704879 | + | 0.709327i | \(0.748999\pi\) | |||||||
\(98\) | −19.4973 | + | 1.63219i | −1.96953 | + | 0.164876i | ||||
\(99\) | −3.03190 | + | 0.435922i | −0.304718 | + | 0.0438118i | ||||
\(100\) | −20.9901 | + | 20.0140i | −2.09901 | + | 2.00140i | ||||
\(101\) | −0.453265 | + | 0.879211i | −0.0451015 | + | 0.0874848i | −0.910309 | − | 0.413929i | \(-0.864156\pi\) |
0.865208 | + | 0.501414i | \(0.167187\pi\) | |||||||
\(102\) | 1.66588 | + | 4.16118i | 0.164947 | + | 0.412018i | ||||
\(103\) | 1.36324 | + | 1.91440i | 0.134324 | + | 0.188631i | 0.876259 | − | 0.481840i | \(-0.160031\pi\) |
−0.741935 | + | 0.670471i | \(0.766092\pi\) | |||||||
\(104\) | 51.0190 | + | 23.2996i | 5.00282 | + | 2.28471i | ||||
\(105\) | 0.0522981 | − | 0.263071i | 0.00510377 | − | 0.0256731i | ||||
\(106\) | 9.70965 | + | 15.1085i | 0.943085 | + | 1.46747i | ||||
\(107\) | 7.01864 | + | 7.36094i | 0.678518 | + | 0.711609i | 0.969492 | − | 0.245122i | \(-0.0788280\pi\) |
−0.290975 | + | 0.956731i | \(0.593980\pi\) | |||||||
\(108\) | −3.59302 | − | 4.56890i | −0.345739 | − | 0.439642i | ||||
\(109\) | 7.06367 | + | 2.44476i | 0.676577 | + | 0.234166i | 0.643682 | − | 0.765293i | \(-0.277406\pi\) |
0.0328953 | + | 0.999459i | \(0.489527\pi\) | |||||||
\(110\) | 0.397715 | + | 0.771460i | 0.0379206 | + | 0.0735558i | ||||
\(111\) | −1.82101 | + | 2.10156i | −0.172843 | + | 0.199471i | ||||
\(112\) | 46.0200 | + | 13.8052i | 4.34849 | + | 1.30447i | ||||
\(113\) | −9.84277 | + | 4.49504i | −0.925930 | + | 0.422858i | −0.820551 | − | 0.571574i | \(-0.806333\pi\) |
−0.105380 | + | 0.994432i | \(0.533606\pi\) | |||||||
\(114\) | 19.9420 | + | 11.5135i | 1.86774 | + | 1.07834i | ||||
\(115\) | 0.480724 | − | 0.0726797i | 0.0448278 | − | 0.00677742i | ||||
\(116\) | 10.2991 | + | 17.8385i | 0.956246 | + | 1.65627i | ||||
\(117\) | −0.500320 | + | 5.23958i | −0.0462546 | + | 0.484400i | ||||
\(118\) | 6.04306 | + | 20.5808i | 0.556308 | + | 1.89461i | ||||
\(119\) | 1.02434 | − | 4.11728i | 0.0939011 | − | 0.377430i | ||||
\(120\) | −0.584046 | + | 0.908793i | −0.0533159 | + | 0.0829611i | ||||
\(121\) | 1.58832 | − | 0.306123i | 0.144392 | − | 0.0278293i | ||||
\(122\) | −15.8059 | + | 12.4299i | −1.43100 | + | 1.12535i | ||||
\(123\) | −0.528835 | − | 2.17989i | −0.0476834 | − | 0.196554i | ||||
\(124\) | 28.6893 | − | 1.36664i | 2.57638 | − | 0.122728i | ||||
\(125\) | −0.144126 | + | 1.00242i | −0.0128911 | + | 0.0896593i | ||||
\(126\) | 0.308724 | + | 7.38863i | 0.0275033 | + | 0.658232i | ||||
\(127\) | −4.35017 | + | 9.52555i | −0.386015 | + | 0.845255i | 0.612484 | + | 0.790483i | \(0.290171\pi\) |
−0.998499 | + | 0.0547722i | \(0.982557\pi\) | |||||||
\(128\) | −54.7373 | − | 43.0459i | −4.83814 | − | 3.80475i | ||||
\(129\) | −7.36383 | − | 3.79632i | −0.648349 | − | 0.334247i | ||||
\(130\) | 1.44938 | − | 0.351617i | 0.127119 | − | 0.0308388i | ||||
\(131\) | 6.71816 | − | 16.7812i | 0.586969 | − | 1.46618i | −0.276120 | − | 0.961123i | \(-0.589049\pi\) |
0.863088 | − | 0.505053i | \(-0.168527\pi\) | |||||||
\(132\) | −11.6591 | − | 13.4554i | −1.01480 | − | 1.17114i | ||||
\(133\) | −8.93876 | − | 19.8796i | −0.775088 | − | 1.72378i | ||||
\(134\) | 7.36461 | + | 6.38147i | 0.636206 | + | 0.551275i | ||||
\(135\) | −0.0985194 | − | 0.0239006i | −0.00847920 | − | 0.00205703i | ||||
\(136\) | −9.91223 | + | 13.9198i | −0.849967 | + | 1.19361i | ||||
\(137\) | 10.7247 | − | 6.19189i | 0.916271 | − | 0.529009i | 0.0338273 | − | 0.999428i | \(-0.489230\pi\) |
0.882443 | + | 0.470419i | \(0.155897\pi\) | |||||||
\(138\) | −12.4081 | + | 5.07214i | −1.05624 | + | 0.431770i | ||||
\(139\) | 9.09357i | 0.771307i | 0.922644 | + | 0.385653i | \(0.126024\pi\) | ||||
−0.922644 | + | 0.385653i | \(0.873976\pi\) | |||||||
\(140\) | 1.45069 | − | 0.570962i | 0.122606 | − | 0.0482551i | ||||
\(141\) | 1.62260 | − | 0.476440i | 0.136648 | − | 0.0401235i | ||||
\(142\) | −5.24795 | − | 15.1629i | −0.440398 | − | 1.27245i | ||||
\(143\) | −0.767128 | + | 16.1040i | −0.0641505 | + | 1.34668i | ||||
\(144\) | 5.93946 | − | 17.1609i | 0.494955 | − | 1.43008i | ||||
\(145\) | 0.333525 | + | 0.133523i | 0.0276978 | + | 0.0110885i | ||||
\(146\) | 5.57477 | − | 18.9859i | 0.461372 | − | 1.57129i | ||||
\(147\) | 3.85301 | − | 5.84417i | 0.317791 | − | 0.482019i | ||||
\(148\) | −15.9985 | − | 2.30024i | −1.31507 | − | 0.189079i | ||||
\(149\) | 8.32145 | − | 5.92568i | 0.681720 | − | 0.485450i | −0.185971 | − | 0.982555i | \(-0.559543\pi\) |
0.867691 | + | 0.497105i | \(0.165604\pi\) | |||||||
\(150\) | −1.32571 | − | 13.8835i | −0.108244 | − | 1.13358i | ||||
\(151\) | 11.1494 | − | 4.46354i | 0.907325 | − | 0.363238i | 0.129398 | − | 0.991593i | \(-0.458696\pi\) |
0.777927 | + | 0.628355i | \(0.216271\pi\) | |||||||
\(152\) | 4.17718 | + | 87.6899i | 0.338814 | + | 7.11259i | ||||
\(153\) | −1.53867 | − | 0.451793i | −0.124394 | − | 0.0365253i | ||||
\(154\) | 2.02145 | + | 22.5613i | 0.162893 | + | 1.81804i | ||||
\(155\) | 0.378591 | − | 0.328051i | 0.0304092 | − | 0.0263497i | ||||
\(156\) | −27.1925 | + | 14.0187i | −2.17714 | + | 1.12239i | ||||
\(157\) | 0.638630 | + | 0.123086i | 0.0509682 | + | 0.00982331i | 0.214672 | − | 0.976686i | \(-0.431132\pi\) |
−0.163703 | + | 0.986510i | \(0.552344\pi\) | |||||||
\(158\) | −6.92291 | + | 7.26054i | −0.550757 | + | 0.577618i | ||||
\(159\) | −6.39632 | − | 0.610774i | −0.507261 | − | 0.0484375i | ||||
\(160\) | −2.98511 | −0.235994 | ||||||||
\(161\) | 12.3351 | + | 2.97404i | 0.972143 | + | 0.234387i | ||||
\(162\) | 2.79508 | 0.219602 | ||||||||
\(163\) | 5.43931 | + | 0.519391i | 0.426040 | + | 0.0406819i | 0.305874 | − | 0.952072i | \(-0.401051\pi\) |
0.120166 | + | 0.992754i | \(0.461657\pi\) | |||||||
\(164\) | 8.99726 | − | 9.43606i | 0.702568 | − | 0.736832i | ||||
\(165\) | −0.304914 | − | 0.0587674i | −0.0237376 | − | 0.00457504i | ||||
\(166\) | 5.37897 | − | 2.77305i | 0.417489 | − | 0.215231i | ||||
\(167\) | 12.5735 | − | 10.8950i | 0.972966 | − | 0.843080i | −0.0146625 | − | 0.999892i | \(-0.504667\pi\) |
0.987628 | + | 0.156813i | \(0.0501219\pi\) | |||||||
\(168\) | −23.0608 | + | 16.2194i | −1.77918 | + | 1.25135i | ||||
\(169\) | 14.1080 | + | 4.14247i | 1.08523 | + | 0.318652i | ||||
\(170\) | 0.0216211 | + | 0.453883i | 0.00165826 | + | 0.0348112i | ||||
\(171\) | −7.64828 | + | 3.06191i | −0.584878 | + | 0.234150i | ||||
\(172\) | −4.57743 | − | 47.9370i | −0.349026 | − | 3.65516i | ||||
\(173\) | 2.87192 | − | 2.04508i | 0.218348 | − | 0.155485i | −0.465650 | − | 0.884969i | \(-0.654179\pi\) |
0.683997 | + | 0.729484i | \(0.260240\pi\) | |||||||
\(174\) | −9.80437 | − | 1.40966i | −0.743267 | − | 0.106866i | ||||
\(175\) | −6.66744 | + | 11.3941i | −0.504011 | + | 0.861316i | ||||
\(176\) | 15.6713 | − | 53.3715i | 1.18127 | − | 4.02302i | ||||
\(177\) | −7.12436 | − | 2.85216i | −0.535500 | − | 0.214382i | ||||
\(178\) | 1.15731 | − | 3.34381i | 0.0867437 | − | 0.250629i | ||||
\(179\) | −0.691159 | + | 14.5092i | −0.0516597 | + | 1.08447i | 0.813049 | + | 0.582196i | \(0.197806\pi\) |
−0.864708 | + | 0.502274i | \(0.832497\pi\) | |||||||
\(180\) | −0.192725 | − | 0.556842i | −0.0143649 | − | 0.0415045i | ||||
\(181\) | −20.9100 | + | 6.13972i | −1.55423 | + | 0.456362i | −0.942360 | − | 0.334600i | \(-0.891399\pi\) |
−0.611865 | + | 0.790962i | \(0.709581\pi\) | |||||||
\(182\) | 38.4942 | + | 5.76430i | 2.85338 | + | 0.427278i | ||||
\(183\) | − | 7.19405i | − | 0.531799i | ||||||
\(184\) | −41.8427 | − | 29.3411i | −3.08468 | − | 2.16305i | ||||
\(185\) | −0.244138 | + | 0.140953i | −0.0179494 | + | 0.0103631i | ||||
\(186\) | −8.01156 | + | 11.2507i | −0.587436 | + | 0.824939i | ||||
\(187\) | −4.77356 | − | 1.15805i | −0.349077 | − | 0.0846853i | ||||
\(188\) | 7.42862 | + | 6.43694i | 0.541788 | + | 0.469462i | ||||
\(189\) | −2.14617 | − | 1.54725i | −0.156111 | − | 0.112546i | ||||
\(190\) | 1.52871 | + | 1.76423i | 0.110904 | + | 0.127991i | ||||
\(191\) | −4.85720 | + | 12.1327i | −0.351454 | + | 0.877891i | 0.642315 | + | 0.766440i | \(0.277974\pi\) |
−0.993770 | + | 0.111451i | \(0.964450\pi\) | |||||||
\(192\) | 44.6871 | − | 10.8410i | 3.22501 | − | 0.782379i | ||||
\(193\) | −12.7422 | − | 6.56905i | −0.917202 | − | 0.472850i | −0.0660774 | − | 0.997814i | \(-0.521048\pi\) |
−0.851124 | + | 0.524964i | \(0.824079\pi\) | |||||||
\(194\) | 9.06624 | + | 7.12977i | 0.650918 | + | 0.511888i | ||||
\(195\) | −0.221661 | + | 0.485370i | −0.0158735 | + | 0.0347581i | ||||
\(196\) | 40.6844 | + | 0.475262i | 2.90603 | + | 0.0339473i | ||||
\(197\) | 0.667397 | − | 4.64185i | 0.0475501 | − | 0.330718i | −0.952136 | − | 0.305674i | \(-0.901118\pi\) |
0.999686 | − | 0.0250441i | \(-0.00797262\pi\) | |||||||
\(198\) | 8.55184 | − | 0.407375i | 0.607753 | − | 0.0289508i | ||||
\(199\) | 1.10332 | + | 4.54794i | 0.0782122 | + | 0.322395i | 0.997455 | − | 0.0712954i | \(-0.0227133\pi\) |
−0.919243 | + | 0.393691i | \(0.871198\pi\) | |||||||
\(200\) | 41.7952 | − | 32.8681i | 2.95537 | − | 2.32413i | ||||
\(201\) | −3.42340 | + | 0.659807i | −0.241468 | + | 0.0465392i | ||||
\(202\) | 1.49477 | − | 2.32591i | 0.105172 | − | 0.163650i | ||||
\(203\) | 6.74783 | + | 6.50971i | 0.473605 | + | 0.456892i | ||||
\(204\) | −2.62603 | − | 8.94342i | −0.183859 | − | 0.626165i | ||||
\(205\) | 0.0216158 | − | 0.226371i | 0.00150971 | − | 0.0158104i | ||||
\(206\) | −3.28447 | − | 5.68886i | −0.228840 | − | 0.396362i | ||||
\(207\) | 1.31774 | − | 4.61124i | 0.0915890 | − | 0.320504i | ||||
\(208\) | −82.7766 | − | 47.7911i | −5.73952 | − | 3.31371i | ||||
\(209\) | −22.9545 | + | 10.4830i | −1.58779 | + | 0.725121i | ||||
\(210\) | −0.215410 | + | 0.718078i | −0.0148647 | + | 0.0495521i | ||||
\(211\) | −7.96963 | + | 9.19745i | −0.548652 | + | 0.633178i | −0.960569 | − | 0.278043i | \(-0.910314\pi\) |
0.411916 | + | 0.911222i | \(0.364860\pi\) | |||||||
\(212\) | −17.1136 | − | 33.1957i | −1.17537 | − | 2.27989i | ||||
\(213\) | 5.42488 | + | 1.87757i | 0.371706 | + | 0.128649i | ||||
\(214\) | −17.5731 | − | 22.3460i | −1.20127 | − | 1.52754i | ||||
\(215\) | −0.579590 | − | 0.607857i | −0.0395277 | − | 0.0414555i | ||||
\(216\) | 5.76112 | + | 8.96448i | 0.391995 | + | 0.609956i | ||||
\(217\) | 12.3795 | − | 4.20379i | 0.840376 | − | 0.285372i | ||||
\(218\) | −19.0046 | − | 8.67909i | −1.28715 | − | 0.587822i | ||||
\(219\) | 4.10646 | + | 5.76671i | 0.277489 | + | 0.389678i | ||||
\(220\) | −0.670820 | − | 1.67563i | −0.0452267 | − | 0.112971i | ||||
\(221\) | −3.86768 | + | 7.50225i | −0.260168 | + | 0.504656i | ||||
\(222\) | 5.62519 | − | 5.36360i | 0.377538 | − | 0.359982i | ||||
\(223\) | 5.59472 | − | 0.804400i | 0.374650 | − | 0.0538666i | 0.0475822 | − | 0.998867i | \(-0.484848\pi\) |
0.327068 | + | 0.945001i | \(0.393939\pi\) | |||||||
\(224\) | −72.1548 | − | 29.3766i | −4.82105 | − | 1.96280i | ||||
\(225\) | 4.19762 | + | 2.69765i | 0.279841 | + | 0.179843i | ||||
\(226\) | 28.5810 | − | 9.89199i | 1.90118 | − | 0.658005i | ||||
\(227\) | 16.0970 | + | 15.3485i | 1.06840 | + | 1.01871i | 0.999778 | + | 0.0210698i | \(0.00670722\pi\) |
0.0686173 | + | 0.997643i | \(0.478141\pi\) | |||||||
\(228\) | −39.0063 | − | 27.7762i | −2.58325 | − | 1.83953i | ||||
\(229\) | 6.83760 | − | 11.8431i | 0.451841 | − | 0.782612i | −0.546659 | − | 0.837355i | \(-0.684101\pi\) |
0.998500 | + | 0.0547434i | \(0.0174341\pi\) | |||||||
\(230\) | −1.35689 | + | 0.0745023i | −0.0894705 | + | 0.00491254i | ||||
\(231\) | −6.79193 | − | 4.42118i | −0.446876 | − | 0.290892i | ||||
\(232\) | −15.6873 | − | 34.3505i | −1.02992 | − | 2.25522i | ||||
\(233\) | −1.40989 | + | 5.81163i | −0.0923647 | + | 0.380733i | −0.999166 | − | 0.0408251i | \(-0.987001\pi\) |
0.906802 | + | 0.421558i | \(0.138517\pi\) | |||||||
\(234\) | 2.78420 | − | 14.4458i | 0.182009 | − | 0.944351i | ||||
\(235\) | 0.171245 | + | 0.00815742i | 0.0111708 | + | 0.000532131i | ||||
\(236\) | −8.44159 | − | 43.7991i | −0.549501 | − | 2.85108i | ||||
\(237\) | −0.510795 | − | 3.55266i | −0.0331797 | − | 0.230770i | ||||
\(238\) | −3.94406 | + | 11.1838i | −0.255655 | + | 0.724941i | ||||
\(239\) | −22.2794 | + | 14.3181i | −1.44113 | + | 0.926160i | −0.441552 | + | 0.897236i | \(0.645572\pi\) |
−0.999582 | + | 0.0289246i | \(0.990792\pi\) | |||||||
\(240\) | 1.13802 | − | 1.44711i | 0.0734587 | − | 0.0934104i | ||||
\(241\) | 11.4158 | − | 1.09007i | 0.735355 | − | 0.0702179i | 0.279343 | − | 0.960191i | \(-0.409883\pi\) |
0.456012 | + | 0.889974i | \(0.349277\pi\) | |||||||
\(242\) | −4.50070 | + | 0.429764i | −0.289316 | + | 0.0276263i | ||||
\(243\) | −0.618159 | + | 0.786053i | −0.0396549 | + | 0.0504253i | ||||
\(244\) | 35.1771 | − | 22.6069i | 2.25198 | − | 1.44726i | ||||
\(245\) | 0.562900 | − | 0.432124i | 0.0359624 | − | 0.0276074i | ||||
\(246\) | 0.892269 | + | 6.20587i | 0.0568890 | + | 0.395672i | ||||
\(247\) | 8.20635 | + | 42.5786i | 0.522157 | + | 2.70921i | ||||
\(248\) | −52.5968 | − | 2.50549i | −3.33990 | − | 0.159099i | ||||
\(249\) | −0.409754 | + | 2.12600i | −0.0259671 | + | 0.134730i | ||||
\(250\) | 0.667352 | − | 2.75086i | 0.0422071 | − | 0.173980i | ||||
\(251\) | 6.78400 | + | 14.8549i | 0.428202 | + | 0.937632i | 0.993615 | + | 0.112824i | \(0.0359895\pi\) |
−0.565413 | + | 0.824808i | \(0.691283\pi\) | |||||||
\(252\) | 0.821433 | − | 15.3564i | 0.0517454 | − | 0.967359i | ||||
\(253\) | 3.35968 | − | 14.3007i | 0.211222 | − | 0.899075i | ||||
\(254\) | 14.6348 | − | 25.3483i | 0.918271 | − | 1.59049i | ||||
\(255\) | −0.132426 | − | 0.0943003i | −0.00829285 | − | 0.00590531i | ||||
\(256\) | 74.3059 | + | 70.8506i | 4.64412 | + | 4.42816i | ||||
\(257\) | 13.0686 | − | 4.52309i | 0.815197 | − | 0.282142i | 0.112518 | − | 0.993650i | \(-0.464108\pi\) |
0.702679 | + | 0.711507i | \(0.251987\pi\) | |||||||
\(258\) | 19.4806 | + | 12.5194i | 1.21281 | + | 0.779426i | ||||
\(259\) | −7.28832 | + | 1.00449i | −0.452874 | + | 0.0624159i | ||||
\(260\) | −3.06990 | + | 0.441385i | −0.190387 | + | 0.0273735i | ||||
\(261\) | 2.56477 | − | 2.44550i | 0.158755 | − | 0.151373i | ||||
\(262\) | −23.1513 | + | 44.9073i | −1.43029 | + | 2.77438i | ||||
\(263\) | 0.0733946 | + | 0.183331i | 0.00452571 | + | 0.0113047i | 0.930614 | − | 0.366003i | \(-0.119274\pi\) |
−0.926088 | + | 0.377308i | \(0.876850\pi\) | |||||||
\(264\) | 18.9333 | + | 26.5882i | 1.16527 | + | 1.63639i | ||||
\(265\) | −0.592525 | − | 0.270597i | −0.0363985 | − | 0.0166226i | ||||
\(266\) | 19.5896 | + | 57.6883i | 1.20111 | + | 3.53710i | ||||
\(267\) | 0.684424 | + | 1.06498i | 0.0418861 | + | 0.0651760i | ||||
\(268\) | −13.9842 | − | 14.6662i | −0.854219 | − | 0.895879i | ||||
\(269\) | 7.13056 | + | 9.06725i | 0.434758 | + | 0.552840i | 0.953227 | − | 0.302257i | \(-0.0977400\pi\) |
−0.518468 | + | 0.855097i | \(0.673498\pi\) | |||||||
\(270\) | 0.267772 | + | 0.0926769i | 0.0162961 | + | 0.00564014i | ||||
\(271\) | 8.40748 | + | 16.3082i | 0.510718 | + | 0.990655i | 0.993383 | + | 0.114850i | \(0.0366387\pi\) |
−0.482665 | + | 0.875805i | \(0.660331\pi\) | |||||||
\(272\) | 19.0704 | − | 22.0084i | 1.15631 | − | 1.33446i | ||||
\(273\) | −10.1345 | + | 9.55080i | −0.613365 | + | 0.578041i | ||||
\(274\) | −31.4857 | + | 14.3790i | −1.90212 | + | 0.868669i | ||||
\(275\) | 13.2363 | + | 7.64196i | 0.798176 | + | 0.460827i | ||||
\(276\) | 26.6887 | − | 8.04720i | 1.60647 | − | 0.484385i | ||||
\(277\) | 9.47911 | + | 16.4183i | 0.569544 | + | 0.986480i | 0.996611 | + | 0.0822597i | \(0.0262137\pi\) |
−0.427066 | + | 0.904220i | \(0.640453\pi\) | |||||||
\(278\) | 2.41606 | − | 25.3021i | 0.144906 | − | 1.51752i | ||||
\(279\) | −1.39216 | − | 4.74127i | −0.0833466 | − | 0.283852i | ||||
\(280\) | −2.74705 | + | 0.789207i | −0.164167 | + | 0.0471642i | ||||
\(281\) | −6.76402 | + | 10.5250i | −0.403508 | + | 0.627870i | −0.982236 | − | 0.187650i | \(-0.939913\pi\) |
0.578728 | + | 0.815520i | \(0.303549\pi\) | |||||||
\(282\) | −4.64135 | + | 0.894547i | −0.276388 | + | 0.0532695i | ||||
\(283\) | 15.7961 | − | 12.4222i | 0.938983 | − | 0.738424i | −0.0262938 | − | 0.999654i | \(-0.508371\pi\) |
0.965277 | + | 0.261230i | \(0.0841281\pi\) | |||||||
\(284\) | 7.86657 | + | 32.4264i | 0.466795 | + | 1.92415i | ||||
\(285\) | −0.834240 | + | 0.0397398i | −0.0494161 | + | 0.00235398i | ||||
\(286\) | 6.41313 | − | 44.6043i | 0.379216 | − | 2.63751i | ||||
\(287\) | 2.75021 | − | 5.25903i | 0.162340 | − | 0.310430i | ||||
\(288\) | −12.2321 | + | 26.7847i | −0.720786 | + | 1.57830i | ||||
\(289\) | 11.3415 | + | 8.91904i | 0.667146 | + | 0.524649i | ||||
\(290\) | −0.892532 | − | 0.460132i | −0.0524113 | − | 0.0270199i | ||||
\(291\) | −4.01018 | + | 0.972859i | −0.235081 | + | 0.0570300i | ||||
\(292\) | −15.2934 | + | 38.2011i | −0.894980 | + | 2.23555i | ||||
\(293\) | −4.98989 | − | 5.75864i | −0.291512 | − | 0.336423i | 0.591036 | − | 0.806645i | \(-0.298719\pi\) |
−0.882548 | + | 0.470222i | \(0.844174\pi\) | |||||||
\(294\) | −12.2734 | + | 15.2372i | −0.715801 | + | 0.888653i | ||||
\(295\) | −0.587954 | − | 0.509465i | −0.0342320 | − | 0.0296622i | ||||
\(296\) | 28.7968 | + | 6.98603i | 1.67378 | + | 0.406055i | ||||
\(297\) | −1.77676 | + | 2.49511i | −0.103098 | + | 0.144781i | ||||
\(298\) | −24.7282 | + | 14.2768i | −1.43246 | + | 0.827033i | ||||
\(299\) | −22.5197 | − | 11.4038i | −1.30235 | − | 0.659496i | ||||
\(300\) | 29.0025i | 1.67446i | ||||||||
\(301\) | −8.02768 | − | 20.3966i | −0.462708 | − | 1.17564i | ||||
\(302\) | −32.2082 | + | 9.45718i | −1.85337 | + | 0.544200i | ||||
\(303\) | 0.323526 | + | 0.934768i | 0.0185861 | + | 0.0537010i | ||||
\(304\) | 7.11860 | − | 149.438i | 0.408279 | − | 8.57084i | ||||
\(305\) | 0.238534 | − | 0.689200i | 0.0136584 | − | 0.0394635i | ||||
\(306\) | 4.16118 | + | 1.66588i | 0.237879 | + | 0.0952323i | ||||
\(307\) | −7.04829 | + | 24.0043i | −0.402267 | + | 1.37000i | 0.470733 | + | 0.882276i | \(0.343990\pi\) |
−0.873000 | + | 0.487721i | \(0.837828\pi\) | |||||||
\(308\) | 0.275118 | − | 47.1042i | 0.0156763 | − | 2.68401i | ||||
\(309\) | 2.32626 | + | 0.334466i | 0.132336 | + | 0.0190271i | ||||
\(310\) | −1.14056 | + | 0.812189i | −0.0647794 | + | 0.0461292i | ||||
\(311\) | −1.74184 | − | 18.2413i | −0.0987705 | − | 1.03437i | −0.899963 | − | 0.435965i | \(-0.856407\pi\) |
0.801193 | − | 0.598406i | \(-0.204199\pi\) | |||||||
\(312\) | 52.0698 | − | 20.8456i | 2.94787 | − | 1.18015i | ||||
\(313\) | 0.276195 | + | 5.79804i | 0.0156115 | + | 0.327725i | 0.993141 | + | 0.116925i | \(0.0373037\pi\) |
−0.977529 | + | 0.210800i | \(0.932393\pi\) | |||||||
\(314\) | −1.74423 | − | 0.512153i | −0.0984328 | − | 0.0289025i | ||||
\(315\) | −0.154303 | − | 0.219389i | −0.00869401 | − | 0.0123612i | ||||
\(316\) | 15.7664 | − | 13.6617i | 0.886932 | − | 0.768531i | ||||
\(317\) | −0.206208 | + | 0.106308i | −0.0115818 | + | 0.00597083i | −0.464008 | − | 0.885831i | \(-0.653589\pi\) |
0.452426 | + | 0.891802i | \(0.350559\pi\) | |||||||
\(318\) | 17.6350 | + | 3.39886i | 0.988920 | + | 0.190599i | ||||
\(319\) | 7.49076 | − | 7.85609i | 0.419402 | − | 0.439856i | ||||
\(320\) | 4.64054 | + | 0.443118i | 0.259414 | + | 0.0247710i | ||||
\(321\) | 10.1708 | 0.567677 | ||||||||
\(322\) | −33.5313 | − | 11.5523i | −1.86863 | − | 0.643786i | ||||
\(323\) | −13.2113 | −0.735097 | ||||||||
\(324\) | −5.78613 | − | 0.552509i | −0.321452 | − | 0.0306949i | ||||
\(325\) | 18.1235 | − | 19.0074i | 1.00531 | − | 1.05434i | ||||
\(326\) | −14.9965 | − | 2.89033i | −0.830577 | − | 0.160081i | ||||
\(327\) | 6.64385 | − | 3.42514i | 0.367406 | − | 0.189411i | ||||
\(328\) | −18.0646 | + | 15.6531i | −0.997450 | + | 0.864296i | ||||
\(329\) | 4.05899 | + | 1.88241i | 0.223779 | + | 0.103780i | ||||
\(330\) | 0.832786 | + | 0.244528i | 0.0458434 | + | 0.0134608i | ||||
\(331\) | 0.887759 | + | 18.6363i | 0.0487956 | + | 1.02435i | 0.881961 | + | 0.471322i | \(0.156223\pi\) |
−0.833165 | + | 0.553024i | \(0.813474\pi\) | |||||||
\(332\) | −11.6833 | + | 4.67727i | −0.641202 | + | 0.256699i | ||||
\(333\) | 0.264328 | + | 2.76817i | 0.0144851 | + | 0.151695i | ||||
\(334\) | −37.8794 | + | 26.9738i | −2.07267 | + | 1.47594i | ||||
\(335\) | −0.349844 | − | 0.0503000i | −0.0191140 | − | 0.00274818i | ||||
\(336\) | 41.7487 | − | 23.7796i | 2.27758 | − | 1.29728i | ||||
\(337\) | 2.23867 | − | 7.62420i | 0.121948 | − | 0.415317i | −0.875778 | − | 0.482714i | \(-0.839651\pi\) |
0.997726 | + | 0.0673970i | \(0.0214694\pi\) | |||||||
\(338\) | −38.1537 | − | 15.2744i | −2.07529 | − | 0.830819i | ||||
\(339\) | −3.53908 | + | 10.2255i | −0.192216 | + | 0.555372i | ||||
\(340\) | 0.0449618 | − | 0.943864i | 0.00243840 | − | 0.0511882i | ||||
\(341\) | −4.95050 | − | 14.3035i | −0.268085 | − | 0.774580i | ||||
\(342\) | 22.0942 | − | 6.48745i | 1.19472 | − | 0.350801i | ||||
\(343\) | 17.8588 | − | 4.90561i | 0.964282 | − | 0.264878i | ||||
\(344\) | 88.2837i | 4.75994i | ||||||||
\(345\) | 0.279137 | − | 0.398071i | 0.0150282 | − | 0.0214314i | ||||
\(346\) | −8.53424 | + | 4.92724i | −0.458803 | + | 0.264890i | ||||
\(347\) | −5.37094 | + | 7.54243i | −0.288327 | + | 0.404899i | −0.933181 | − | 0.359407i | \(-0.882979\pi\) |
0.644854 | + | 0.764306i | \(0.276918\pi\) | |||||||
\(348\) | 20.0175 | + | 4.85620i | 1.07305 | + | 0.260320i | ||||
\(349\) | 0.382607 | + | 0.331531i | 0.0204805 | + | 0.0177464i | 0.665041 | − | 0.746807i | \(-0.268414\pi\) |
−0.644560 | + | 0.764553i | \(0.722960\pi\) | |||||||
\(350\) | 21.5789 | − | 29.9318i | 1.15344 | − | 1.59992i | ||||
\(351\) | 3.44681 | + | 3.97783i | 0.183977 | + | 0.212321i | ||||
\(352\) | −33.5218 | + | 83.7334i | −1.78672 | + | 4.46300i | ||||
\(353\) | −11.6122 | + | 2.81710i | −0.618057 | + | 0.149939i | −0.532550 | − | 0.846399i | \(-0.678766\pi\) |
−0.0855069 | + | 0.996338i | \(0.527251\pi\) | |||||||
\(354\) | 19.0652 | + | 9.82878i | 1.01330 | + | 0.522394i | ||||
\(355\) | 0.457456 | + | 0.359747i | 0.0242792 | + | 0.0190934i | ||||
\(356\) | −3.05674 | + | 6.69332i | −0.162007 | + | 0.354745i | ||||
\(357\) | −2.27294 | − | 3.58260i | −0.120297 | − | 0.189611i | ||||
\(358\) | 5.77803 | − | 40.1871i | 0.305379 | − | 2.12396i | ||||
\(359\) | −16.8136 | + | 0.800929i | −0.887386 | + | 0.0422714i | −0.486323 | − | 0.873779i | \(-0.661662\pi\) |
−0.401063 | + | 0.916050i | \(0.631359\pi\) | |||||||
\(360\) | 0.254687 | + | 1.04983i | 0.0134232 | + | 0.0553311i | ||||
\(361\) | −38.4155 | + | 30.2103i | −2.02187 | + | 1.59002i | ||||
\(362\) | 59.8116 | − | 11.5277i | 3.14363 | − | 0.605884i | ||||
\(363\) | 0.874512 | − | 1.36077i | 0.0459000 | − | 0.0714218i | ||||
\(364\) | −78.5480 | − | 19.5420i | −4.11703 | − | 1.02428i | ||||
\(365\) | 0.202196 | + | 0.688618i | 0.0105834 | + | 0.0360439i | ||||
\(366\) | −1.91138 | + | 20.0169i | −0.0999093 | + | 1.04630i | ||||
\(367\) | 1.54089 | + | 2.66890i | 0.0804339 | + | 0.139316i | 0.903436 | − | 0.428722i | \(-0.141036\pi\) |
−0.823002 | + | 0.568038i | \(0.807703\pi\) | |||||||
\(368\) | 66.2308 | + | 56.5536i | 3.45252 | + | 2.94806i | ||||
\(369\) | −1.94260 | − | 1.12156i | −0.101128 | − | 0.0583860i | ||||
\(370\) | 0.716743 | − | 0.327326i | 0.0372617 | − | 0.0170168i | ||||
\(371\) | −11.6593 | − | 12.3718i | −0.605321 | − | 0.642313i | ||||
\(372\) | 18.8088 | − | 21.7065i | 0.975191 | − | 1.12543i | ||||
\(373\) | 7.57412 | + | 14.6917i | 0.392173 | + | 0.760709i | 0.999429 | − | 0.0337971i | \(-0.0107600\pi\) |
−0.607256 | + | 0.794506i | \(0.707730\pi\) | |||||||
\(374\) | 12.9744 | + | 4.49048i | 0.670889 | + | 0.232197i | ||||
\(375\) | 0.626028 | + | 0.796059i | 0.0323279 | + | 0.0411083i | ||||
\(376\) | −12.4356 | − | 13.0421i | −0.641319 | − | 0.672596i | ||||
\(377\) | −10.0843 | − | 15.6915i | −0.519368 | − | 0.808152i | ||||
\(378\) | 5.56045 | + | 4.87531i | 0.285999 | + | 0.250759i | ||||
\(379\) | 19.3227 | + | 8.82438i | 0.992541 | + | 0.453278i | 0.844415 | − | 0.535690i | \(-0.179949\pi\) |
0.148126 | + | 0.988968i | \(0.452676\pi\) | |||||||
\(380\) | −2.81588 | − | 3.95434i | −0.144451 | − | 0.202854i | ||||
\(381\) | 3.89200 | + | 9.72175i | 0.199393 | + | 0.498060i | ||||
\(382\) | 16.7383 | − | 32.4678i | 0.856405 | − | 1.66119i | ||||
\(383\) | 20.4970 | − | 19.5439i | 1.04735 | − | 0.998645i | 0.0473486 | − | 0.998878i | \(-0.484923\pi\) |
1.00000 | 0.000233539i | \(7.43379e-5\pi\) | ||||||||
\(384\) | −68.9268 | + | 9.91017i | −3.51740 | + | 0.505726i | ||||
\(385\) | −0.504083 | − | 0.648757i | −0.0256905 | − | 0.0330637i | ||||
\(386\) | 33.7088 | + | 21.6633i | 1.71573 | + | 1.10263i | ||||
\(387\) | −7.82915 | + | 2.70969i | −0.397978 | + | 0.137741i | ||||
\(388\) | −17.3588 | − | 16.5516i | −0.881260 | − | 0.840280i | ||||
\(389\) | 10.7000 | + | 7.61947i | 0.542514 | + | 0.386322i | 0.818207 | − | 0.574923i | \(-0.194968\pi\) |
−0.275693 | + | 0.961246i | \(0.588907\pi\) | |||||||
\(390\) | 0.745712 | − | 1.29161i | 0.0377606 | − | 0.0654033i | ||||
\(391\) | 4.71012 | − | 6.07962i | 0.238201 | − | 0.307460i | ||||
\(392\) | −74.1671 | − | 7.95737i | −3.74600 | − | 0.401908i | ||||
\(393\) | −7.50903 | − | 16.4425i | −0.378781 | − | 0.829414i | ||||
\(394\) | −3.09027 | + | 12.7383i | −0.155685 | + | 0.641744i | ||||
\(395\) | 0.0688613 | − | 0.357286i | 0.00346479 | − | 0.0179770i | ||||
\(396\) | −17.7838 | − | 0.847149i | −0.893672 | − | 0.0425708i | ||||
\(397\) | 0.755094 | + | 3.91780i | 0.0378971 | + | 0.196629i | 0.995943 | − | 0.0899858i | \(-0.0286822\pi\) |
−0.958046 | + | 0.286615i | \(0.907470\pi\) | |||||||
\(398\) | −1.86156 | − | 12.9474i | −0.0933116 | − | 0.648996i | ||||
\(399\) | −20.5560 | − | 7.24921i | −1.02909 | − | 0.362914i | ||||
\(400\) | −76.2276 | + | 48.9885i | −3.81138 | + | 2.44943i | ||||
\(401\) | 22.0255 | − | 28.0077i | 1.09990 | − | 1.39864i | 0.191015 | − | 0.981587i | \(-0.438822\pi\) |
0.908884 | − | 0.417048i | \(-0.136935\pi\) | |||||||
\(402\) | 9.70065 | − | 0.926300i | 0.483825 | − | 0.0461997i | ||||
\(403\) | −25.8910 | + | 2.47230i | −1.28972 | + | 0.123154i | ||||
\(404\) | −3.55412 | + | 4.51943i | −0.176824 | + | 0.224850i | ||||
\(405\) | −0.0852838 | + | 0.0548086i | −0.00423779 | + | 0.00272346i | ||||
\(406\) | −17.0457 | − | 19.9056i | −0.845966 | − | 0.987897i | ||||
\(407\) | 1.21220 | + | 8.43100i | 0.0600863 | + | 0.417909i | ||||
\(408\) | 3.23400 | + | 16.7796i | 0.160107 | + | 0.830712i | ||||
\(409\) | −10.0747 | − | 0.479916i | −0.498160 | − | 0.0237303i | −0.203001 | − | 0.979178i | \(-0.565070\pi\) |
−0.295159 | + | 0.955448i | \(0.595373\pi\) | |||||||
\(410\) | −0.120289 | + | 0.624116i | −0.00594063 | + | 0.0308229i | ||||
\(411\) | 2.91959 | − | 12.0347i | 0.144013 | − | 0.593628i | ||||
\(412\) | 5.67470 | + | 12.4259i | 0.279572 | + | 0.612178i | ||||
\(413\) | −9.19813 | − | 18.1007i | −0.452610 | − | 0.890676i | ||||
\(414\) | −4.89165 | + | 12.4803i | −0.240412 | + | 0.613374i | ||||
\(415\) | −0.109747 | + | 0.190088i | −0.00538729 | + | 0.00933105i | ||||
\(416\) | 126.247 | + | 89.8998i | 6.18975 | + | 4.40770i | ||||
\(417\) | 6.58133 | + | 6.27528i | 0.322289 | + | 0.307302i | ||||
\(418\) | 66.6542 | − | 23.0692i | 3.26016 | − | 1.12835i | ||||
\(419\) | −6.40955 | − | 4.11917i | −0.313127 | − | 0.201235i | 0.374632 | − | 0.927174i | \(-0.377769\pi\) |
−0.687759 | + | 0.725939i | \(0.741405\pi\) | |||||||
\(420\) | 0.587868 | − | 1.44392i | 0.0286850 | − | 0.0704563i | ||||
\(421\) | 2.93687 | − | 0.422258i | 0.143134 | − | 0.0205796i | −0.0703752 | − | 0.997521i | \(-0.522420\pi\) |
0.213510 | + | 0.976941i | \(0.431511\pi\) | |||||||
\(422\) | 24.6185 | − | 23.4737i | 1.19841 | − | 1.14268i | ||||
\(423\) | 0.774910 | − | 1.50311i | 0.0376774 | − | 0.0730839i | ||||
\(424\) | 25.4477 | + | 63.5652i | 1.23585 | + | 3.08700i | ||||
\(425\) | 4.64140 | + | 6.51794i | 0.225141 | + | 0.316167i | ||||
\(426\) | −14.5954 | − | 6.66551i | −0.707151 | − | 0.322945i | ||||
\(427\) | 12.5482 | − | 14.3116i | 0.607250 | − | 0.692588i | ||||
\(428\) | 31.9612 | + | 49.7325i | 1.54490 | + | 2.40391i | ||||
\(429\) | 11.1256 | + | 11.6682i | 0.537151 | + | 0.563347i | ||||
\(430\) | 1.45116 | + | 1.84530i | 0.0699813 | + | 0.0889884i | ||||
\(431\) | −29.8671 | − | 10.3371i | −1.43865 | − | 0.497921i | −0.507211 | − | 0.861822i | \(-0.669324\pi\) |
−0.931438 | + | 0.363900i | \(0.881445\pi\) | |||||||
\(432\) | −8.32126 | − | 16.1410i | −0.400357 | − | 0.776584i | ||||
\(433\) | 14.2755 | − | 16.4748i | 0.686036 | − | 0.791728i | −0.300759 | − | 0.953700i | \(-0.597240\pi\) |
0.986795 | + | 0.161972i | \(0.0517854\pi\) | |||||||
\(434\) | −35.5619 | + | 8.40761i | −1.70703 | + | 0.403578i | ||||
\(435\) | 0.326794 | − | 0.149242i | 0.0156686 | − | 0.00715561i | ||||
\(436\) | 37.6260 | + | 21.7234i | 1.80196 | + | 1.04036i | ||||
\(437\) | −0.286517 | − | 39.5090i | −0.0137060 | − | 1.88997i | ||||
\(438\) | −9.89373 | − | 17.1365i | −0.472741 | − | 0.818811i | ||||
\(439\) | 0.842838 | − | 8.82660i | 0.0402265 | − | 0.421271i | −0.952819 | − | 0.303539i | \(-0.901832\pi\) |
0.993045 | − | 0.117732i | \(-0.0375622\pi\) | |||||||
\(440\) | 0.932252 | + | 3.17496i | 0.0444434 | + | 0.151360i | ||||
\(441\) | −1.57074 | − | 6.82149i | −0.0747971 | − | 0.324833i | ||||
\(442\) | 12.7548 | − | 19.8468i | 0.606683 | − | 0.944017i | ||||
\(443\) | −21.0508 | + | 4.05721i | −1.00015 | + | 0.192764i | −0.662947 | − | 0.748666i | \(-0.730695\pi\) |
−0.337208 | + | 0.941430i | \(0.609482\pi\) | |||||||
\(444\) | −12.7050 | + | 9.99134i | −0.602954 | + | 0.474168i | ||||
\(445\) | 0.0302569 | + | 0.124721i | 0.00143431 | + | 0.00591232i | ||||
\(446\) | −15.7806 | + | 0.751722i | −0.747233 | + | 0.0355951i | ||||
\(447\) | 1.45384 | − | 10.1117i | 0.0687644 | − | 0.478267i | ||||
\(448\) | 107.809 | + | 56.3786i | 5.09347 | + | 2.66364i | ||||
\(449\) | 5.98687 | − | 13.1094i | 0.282538 | − | 0.618672i | −0.714150 | − | 0.699993i | \(-0.753187\pi\) |
0.996688 | + | 0.0813209i | \(0.0259139\pi\) | |||||||
\(450\) | −10.9628 | − | 8.62125i | −0.516792 | − | 0.406410i | ||||
\(451\) | −6.10705 | − | 3.14840i | −0.287570 | − | 0.148253i | ||||
\(452\) | −61.1214 | + | 14.8279i | −2.87491 | + | 0.697445i | ||||
\(453\) | 4.46354 | − | 11.1494i | 0.209716 | − | 0.523844i | ||||
\(454\) | −40.7107 | − | 46.9827i | −1.91065 | − | 2.20501i | ||||
\(455\) | −1.28757 | + | 0.578950i | −0.0603624 | + | 0.0271416i | ||||
\(456\) | 66.3468 | + | 57.4898i | 3.10697 | + | 2.69221i | ||||
\(457\) | −21.3406 | − | 5.17718i | −0.998272 | − | 0.242178i | −0.296850 | − | 0.954924i | \(-0.595936\pi\) |
−0.701422 | + | 0.712746i | \(0.747451\pi\) | |||||||
\(458\) | −22.1716 | + | 31.1357i | −1.03601 | + | 1.45488i | ||||
\(459\) | −1.38878 | + | 0.801812i | −0.0648226 | + | 0.0374254i | ||||
\(460\) | 2.82364 | + | 0.113990i | 0.131653 | + | 0.00531483i | ||||
\(461\) | 32.2417i | 1.50165i | 0.660502 | + | 0.750824i | \(0.270343\pi\) | ||||
−0.660502 | + | 0.750824i | \(0.729657\pi\) | |||||||
\(462\) | 17.7234 | + | 14.1061i | 0.824565 | + | 0.656276i | ||||
\(463\) | −7.15295 | + | 2.10029i | −0.332426 | + | 0.0976090i | −0.443686 | − | 0.896182i | \(-0.646329\pi\) |
0.111260 | + | 0.993791i | \(0.464511\pi\) | |||||||
\(464\) | 21.0483 | + | 60.8149i | 0.977141 | + | 2.82326i | ||||
\(465\) | 0.0238361 | − | 0.500381i | 0.00110537 | − | 0.0232046i | ||||
\(466\) | 5.46698 | − | 15.7958i | 0.253253 | − | 0.731727i | ||||
\(467\) | 36.9771 | + | 14.8034i | 1.71110 | + | 0.685019i | 0.999840 | − | 0.0179144i | \(-0.00570262\pi\) |
0.711256 | + | 0.702934i | \(0.248127\pi\) | |||||||
\(468\) | −8.61915 | + | 29.3541i | −0.398420 | + | 1.35689i | ||||
\(469\) | −7.96129 | − | 4.65866i | −0.367618 | − | 0.215117i | ||||
\(470\) | −0.474309 | − | 0.0681953i | −0.0218782 | − | 0.00314562i | ||||
\(471\) | 0.529786 | − | 0.377259i | 0.0244113 | − | 0.0173832i | ||||
\(472\) | 7.77327 | + | 81.4054i | 0.357794 | + | 3.74699i | ||||
\(473\) | −23.5592 | + | 9.43168i | −1.08325 | + | 0.433669i | ||||
\(474\) | 0.477345 | + | 10.0207i | 0.0219252 | + | 0.460266i | ||||
\(475\) | 39.4422 | + | 11.5813i | 1.80973 | + | 0.531386i | ||||
\(476\) | 10.3754 | − | 22.3722i | 0.475556 | − | 1.02543i | ||||
\(477\) | −4.85600 | + | 4.20775i | −0.222341 | + | 0.192660i | ||||
\(478\) | 65.7948 | − | 33.9196i | 3.00938 | − | 1.55144i | ||||
\(479\) | −13.5169 | − | 2.60516i | −0.617602 | − | 0.119033i | −0.129152 | − | 0.991625i | \(-0.541225\pi\) |
−0.488450 | + | 0.872592i | \(0.662438\pi\) | |||||||
\(480\) | −2.05996 | + | 2.16042i | −0.0940239 | + | 0.0986095i | ||||
\(481\) | 14.5700 | + | 1.39127i | 0.664337 | + | 0.0634365i | ||||
\(482\) | −32.0531 | −1.45998 | ||||||||
\(483\) | 10.6646 | − | 6.87502i | 0.485257 | − | 0.312824i | ||||
\(484\) | 9.40192 | 0.427360 | ||||||||
\(485\) | −0.416438 | − | 0.0397650i | −0.0189095 | − | 0.00180564i | ||||
\(486\) | 1.92882 | − | 2.02289i | 0.0874932 | − | 0.0917603i | ||||
\(487\) | 22.8964 | + | 4.41292i | 1.03753 | + | 0.199968i | 0.679451 | − | 0.733721i | \(-0.262218\pi\) |
0.358084 | + | 0.933690i | \(0.383430\pi\) | |||||||
\(488\) | −68.1386 | + | 35.1279i | −3.08449 | + | 1.59016i | ||||
\(489\) | 4.12946 | − | 3.57819i | 0.186740 | − | 0.161812i | ||||
\(490\) | −1.68104 | + | 1.05280i | −0.0759415 | + | 0.0475605i | ||||
\(491\) | 15.6267 | + | 4.58842i | 0.705225 | + | 0.207073i | 0.614630 | − | 0.788815i | \(-0.289305\pi\) |
0.0905943 | + | 0.995888i | \(0.471123\pi\) | |||||||
\(492\) | −0.620374 | − | 13.0232i | −0.0279686 | − | 0.587133i | ||||
\(493\) | 5.27584 | − | 2.11213i | 0.237612 | − | 0.0951254i | ||||
\(494\) | −11.5209 | − | 120.652i | −0.518348 | − | 5.42838i | ||||
\(495\) | −0.252947 | + | 0.180123i | −0.0113691 | + | 0.00809592i | ||||
\(496\) | 88.8216 | + | 12.7706i | 3.98821 | + | 0.573418i | ||||
\(497\) | 7.51715 | + | 13.1975i | 0.337190 | + | 0.591989i | ||||
\(498\) | 1.70496 | − | 5.80657i | 0.0764012 | − | 0.260199i | ||||
\(499\) | 22.3012 | + | 8.92806i | 0.998339 | + | 0.399675i | 0.812535 | − | 0.582912i | \(-0.198087\pi\) |
0.185804 | + | 0.982587i | \(0.440511\pi\) | |||||||
\(500\) | −1.92527 | + | 5.56269i | −0.0861005 | + | 0.248771i | ||||
\(501\) | 0.791626 | − | 16.6183i | 0.0353672 | − | 0.742449i | ||||
\(502\) | −14.9292 | − | 43.1350i | −0.666321 | − | 1.92521i | ||||
\(503\) | −40.0755 | + | 11.7672i | −1.78688 | + | 0.524675i | −0.996164 | − | 0.0875112i | \(-0.972109\pi\) |
−0.790714 | + | 0.612186i | \(0.790290\pi\) | |||||||
\(504\) | −4.17526 | + | 27.8825i | −0.185981 | + | 1.24199i | ||||
\(505\) | 0.100279i | 0.00446237i | ||||||||
\(506\) | −13.1476 | + | 38.8978i | −0.584481 | + | 1.72922i | ||||
\(507\) | 12.7337 | − | 7.35178i | 0.565521 | − | 0.326504i | ||||
\(508\) | −35.3065 | + | 49.5810i | −1.56647 | + | 2.19980i | ||||
\(509\) | 5.23573 | + | 1.27017i | 0.232070 | + | 0.0562995i | 0.350107 | − | 0.936710i | \(-0.386145\pi\) |
−0.118038 | + | 0.993009i | \(0.537660\pi\) | |||||||
\(510\) | 0.343411 | + | 0.297567i | 0.0152065 | + | 0.0131765i | ||||
\(511\) | −1.88930 | + | 18.6348i | −0.0835778 | + | 0.824355i | ||||
\(512\) | −96.7229 | − | 111.624i | −4.27459 | − | 4.93314i | ||||
\(513\) | −3.06191 | + | 7.64828i | −0.135187 | + | 0.337680i | ||||
\(514\) | −37.5641 | + | 9.11295i | −1.65688 | + | 0.401955i | ||||
\(515\) | 0.211769 | + | 0.109175i | 0.00933166 | + | 0.00481080i | ||||
\(516\) | −37.8524 | − | 29.7675i | −1.66636 | − | 1.31044i | ||||
\(517\) | 2.15185 | − | 4.71189i | 0.0946381 | − | 0.207228i | ||||
\(518\) | 20.5460 | − | 0.858488i | 0.902741 | − | 0.0377198i | ||||
\(519\) | 0.501754 | − | 3.48977i | 0.0220245 | − | 0.153184i | ||||
\(520\) | 5.67955 | − | 0.270550i | 0.249065 | − | 0.0118644i | ||||
\(521\) | −10.3586 | − | 42.6986i | −0.453817 | − | 1.87066i | −0.490682 | − | 0.871339i | \(-0.663252\pi\) |
0.0368645 | − | 0.999320i | \(-0.488263\pi\) | |||||||
\(522\) | −7.78600 | + | 6.12298i | −0.340784 | + | 0.267996i | ||||
\(523\) | −28.9125 | + | 5.57242i | −1.26425 | + | 0.243665i | −0.776947 | − | 0.629566i | \(-0.783233\pi\) |
−0.487306 | + | 0.873231i | \(0.662021\pi\) | |||||||
\(524\) | 56.8029 | − | 88.3870i | 2.48144 | − | 3.86120i | ||||
\(525\) | 3.64527 | + | 12.6883i | 0.159092 | + | 0.553764i | ||||
\(526\) | −0.155506 | − | 0.529604i | −0.00678037 | − | 0.0230918i | ||||
\(527\) | 0.753243 | − | 7.88831i | 0.0328118 | − | 0.343620i | ||||
\(528\) | −27.8123 | − | 48.1724i | −1.21038 | − | 2.09643i | ||||
\(529\) | 18.2835 | + | 13.9540i | 0.794936 | + | 0.606694i | ||||
\(530\) | 1.57676 | + | 0.910342i | 0.0684900 | + | 0.0395427i | ||||
\(531\) | −6.98058 | + | 3.18792i | −0.302931 | + | 0.138344i | ||||
\(532\) | −29.1494 | − | 123.294i | −1.26378 | − | 5.34547i | ||||
\(533\) | −7.73159 | + | 8.92273i | −0.334892 | + | 0.386486i | ||||
\(534\) | −1.62140 | − | 3.14508i | −0.0701648 | − | 0.136101i | ||||
\(535\) | 0.974375 | + | 0.337235i | 0.0421259 | + | 0.0145799i | ||||
\(536\) | 22.9655 | + | 29.2031i | 0.991961 | + | 1.26138i | ||||
\(537\) | 10.0239 | + | 10.5127i | 0.432562 | + | 0.453658i | ||||
\(538\) | −17.4312 | − | 27.1234i | −0.751511 | − | 1.16937i | ||||
\(539\) | −5.80006 | − | 20.6422i | −0.249826 | − | 0.889122i | ||||
\(540\) | −0.536000 | − | 0.244783i | −0.0230658 | − | 0.0105338i | ||||
\(541\) | −24.7674 | − | 34.7809i | −1.06483 | − | 1.49535i | −0.855708 | − | 0.517458i | \(-0.826878\pi\) |
−0.209124 | − | 0.977889i | \(-0.567061\pi\) | |||||||
\(542\) | −19.0602 | − | 47.6102i | −0.818707 | − | 2.04503i | ||||
\(543\) | −9.98601 | + | 19.3701i | −0.428541 | + | 0.831253i | ||||
\(544\) | −34.1745 | + | 32.5853i | −1.46522 | + | 1.39708i | ||||
\(545\) | 0.750059 | − | 0.107842i | 0.0321290 | − | 0.00461945i | ||||
\(546\) | 30.7358 | − | 23.8817i | 1.31537 | − | 1.02204i | ||||
\(547\) | 11.2179 | + | 7.20932i | 0.479644 | + | 0.308248i | 0.758029 | − | 0.652221i | \(-0.226163\pi\) |
−0.278385 | + | 0.960470i | \(0.589799\pi\) | |||||||
\(548\) | 68.0213 | − | 23.5424i | 2.90573 | − | 1.00568i | ||||
\(549\) | −5.20658 | − | 4.96446i | −0.222211 | − | 0.211878i | ||||
\(550\) | −34.7985 | − | 24.7799i | −1.48381 | − | 1.05662i | ||||
\(551\) | 14.5976 | − | 25.2838i | 0.621880 | − | 1.07713i | ||||
\(552\) | −50.1099 | + | 10.0353i | −2.13282 | + | 0.427131i | ||||
\(553\) | 5.18055 | − | 7.95851i | 0.220299 | − | 0.338430i | ||||
\(554\) | −22.0127 | − | 48.2011i | −0.935230 | − | 2.04787i | ||||
\(555\) | −0.0664618 | + | 0.273959i | −0.00282115 | + | 0.0116289i | ||||
\(556\) | −10.0031 | + | 51.9008i | −0.424224 | + | 2.20108i | ||||
\(557\) | 38.5180 | + | 1.83484i | 1.63206 | + | 0.0777446i | 0.843471 | − | 0.537175i | \(-0.180509\pi\) |
0.788590 | + | 0.614920i | \(0.210812\pi\) | |||||||
\(558\) | 2.61388 | + | 13.5621i | 0.110654 | + | 0.574129i | ||||
\(559\) | 6.20583 | + | 43.1625i | 0.262479 | + | 1.82558i | ||||
\(560\) | 4.78805 | − | 0.893850i | 0.202332 | − | 0.0377721i | ||||
\(561\) | −4.13226 | + | 2.65564i | −0.174464 | + | 0.112121i | ||||
\(562\) | 21.6167 | − | 27.4879i | 0.911847 | − | 1.15951i | ||||
\(563\) | −24.8139 | + | 2.36944i | −1.04578 | + | 0.0998600i | −0.603777 | − | 0.797153i | \(-0.706338\pi\) |
−0.442004 | + | 0.897013i | \(0.645732\pi\) | |||||||
\(564\) | 9.78497 | − | 0.934351i | 0.412021 | − | 0.0393433i | ||||
\(565\) | −0.678097 | + | 0.862271i | −0.0285278 | + | 0.0362760i | ||||
\(566\) | −47.2519 | + | 30.3670i | −1.98615 | + | 1.27642i | ||||
\(567\) | −2.60082 | + | 0.485530i | −0.109224 | + | 0.0203903i | ||||
\(568\) | −8.70575 | − | 60.5498i | −0.365285 | − | 2.54061i | ||||
\(569\) | 0.196302 | + | 1.01851i | 0.00822940 | + | 0.0426982i | 0.985811 | − | 0.167857i | \(-0.0536848\pi\) |
−0.977582 | + | 0.210556i | \(0.932473\pi\) | |||||||
\(570\) | 2.33177 | + | 0.111076i | 0.0976669 | + | 0.00465245i | ||||
\(571\) | −0.603803 | + | 3.13283i | −0.0252684 | + | 0.131105i | −0.992372 | − | 0.123277i | \(-0.960660\pi\) |
0.967104 | + | 0.254381i | \(0.0818719\pi\) | |||||||
\(572\) | −22.0929 | + | 91.0684i | −0.923753 | + | 3.80776i | ||||
\(573\) | 5.42899 | + | 11.8878i | 0.226799 | + | 0.496621i | ||||
\(574\) | −9.04951 | + | 13.9021i | −0.377719 | + | 0.580263i | ||||
\(575\) | −19.3915 | + | 14.0217i | −0.808682 | + | 0.584744i | ||||
\(576\) | 22.9916 | − | 39.8227i | 0.957985 | − | 1.65928i | ||||
\(577\) | 4.47635 | + | 3.18760i | 0.186353 | + | 0.132701i | 0.669426 | − | 0.742879i | \(-0.266540\pi\) |
−0.483073 | + | 0.875580i | \(0.660479\pi\) | |||||||
\(578\) | −29.1871 | − | 27.8298i | −1.21402 | − | 1.15757i | ||||
\(579\) | −13.5474 | + | 4.68878i | −0.563009 | + | 0.194859i | ||||
\(580\) | 1.75669 | + | 1.12896i | 0.0729426 | + | 0.0468774i | ||||
\(581\) | −4.52343 | + | 3.51470i | −0.187664 | + | 0.145814i | ||||
\(582\) | 11.4165 | − | 1.64144i | 0.473228 | − | 0.0680400i | ||||
\(583\) | −14.2442 | + | 13.5818i | −0.589935 | + | 0.562502i | ||||
\(584\) | 34.5681 | − | 67.0527i | 1.43044 | − | 2.77466i | ||||
\(585\) | 0.198315 | + | 0.495368i | 0.00819933 | + | 0.0204809i | ||||
\(586\) | 12.3540 | + | 17.3487i | 0.510337 | + | 0.716668i | ||||
\(587\) | −33.2983 | − | 15.2068i | −1.37437 | − | 0.627652i | −0.415002 | − | 0.909821i | \(-0.636219\pi\) |
−0.959365 | + | 0.282168i | \(0.908946\pi\) | |||||||
\(588\) | 28.4194 | − | 29.1167i | 1.17200 | − | 1.20075i | ||||
\(589\) | −22.0092 | − | 34.2470i | −0.906875 | − | 1.41112i | ||||
\(590\) | 1.50058 | + | 1.57376i | 0.0617778 | + | 0.0647907i | ||||
\(591\) | −2.89891 | − | 3.68626i | −0.119245 | − | 0.151632i | ||||
\(592\) | −47.7205 | − | 16.5162i | −1.96130 | − | 0.678813i | ||||
\(593\) | −14.1286 | − | 27.4056i | −0.580191 | − | 1.12541i | −0.978128 | − | 0.208002i | \(-0.933304\pi\) |
0.397937 | − | 0.917413i | \(-0.369726\pi\) | |||||||
\(594\) | 5.60662 | − | 6.47038i | 0.230042 | − | 0.265483i | ||||
\(595\) | −0.0989620 | − | 0.418582i | −0.00405704 | − | 0.0171602i | ||||
\(596\) | 54.0123 | − | 24.6666i | 2.21243 | − | 1.01038i | ||||
\(597\) | 4.05288 | + | 2.33993i | 0.165873 | + | 0.0957670i | ||||
\(598\) | 59.6294 | + | 37.7133i | 2.43843 | + | 1.54221i | ||||
\(599\) | 5.10787 | + | 8.84708i | 0.208702 | + | 0.361482i | 0.951306 | − | 0.308249i | \(-0.0997429\pi\) |
−0.742604 | + | 0.669731i | \(0.766410\pi\) | |||||||
\(600\) | 5.05422 | − | 52.9302i | 0.206338 | − | 2.16087i | ||||
\(601\) | −3.77594 | − | 12.8597i | −0.154024 | − | 0.524557i | 0.845938 | − | 0.533281i | \(-0.179041\pi\) |
−0.999962 | + | 0.00872417i | \(0.997223\pi\) | |||||||
\(602\) | 16.9172 | + | 58.8848i | 0.689494 | + | 2.39997i | ||||
\(603\) | −1.88489 | + | 2.93295i | −0.0767589 | + | 0.119439i | ||||
\(604\) | 68.5442 | − | 13.2108i | 2.78902 | − | 0.537540i | ||||
\(605\) | 0.128899 | − | 0.101367i | 0.00524048 | − | 0.00412116i | ||||
\(606\) | −0.651829 | − | 2.68688i | −0.0264787 | − | 0.109147i | ||||
\(607\) | 47.6828 | − | 2.27141i | 1.93538 | − | 0.0921937i | 0.955897 | − | 0.293702i | \(-0.0948874\pi\) |
0.979487 | + | 0.201509i | \(0.0645844\pi\) | |||||||
\(608\) | −34.5234 | + | 240.116i | −1.40011 | + | 9.73798i | ||||
\(609\) | 9.36784 | − | 0.391422i | 0.379604 | − | 0.0158612i | ||||
\(610\) | −0.846816 | + | 1.85427i | −0.0342866 | + | 0.0750771i | ||||
\(611\) | −6.99666 | − | 5.50223i | −0.283054 | − | 0.222596i | ||||
\(612\) | −8.28482 | − | 4.27112i | −0.334894 | − | 0.172650i | ||||
\(613\) | 0.899565 | − | 0.218232i | 0.0363331 | − | 0.00881431i | −0.217551 | − | 0.976049i | \(-0.569807\pi\) |
0.253884 | + | 0.967235i | \(0.418292\pi\) | |||||||
\(614\) | 25.9890 | − | 64.9173i | 1.04883 | − | 2.61985i | ||||
\(615\) | −0.148916 | − | 0.171858i | −0.00600486 | − | 0.00692998i | ||||
\(616\) | −8.71086 | + | 85.9181i | −0.350971 | + | 3.46174i | ||||
\(617\) | 26.8010 | + | 23.2232i | 1.07897 | + | 0.934932i | 0.998089 | − | 0.0617923i | \(-0.0196816\pi\) |
0.0808795 | + | 0.996724i | \(0.474227\pi\) | |||||||
\(618\) | −6.38377 | − | 1.54868i | −0.256793 | − | 0.0622972i | ||||
\(619\) | 11.7341 | − | 16.4783i | 0.471635 | − | 0.662319i | −0.508405 | − | 0.861118i | \(-0.669765\pi\) |
0.980040 | + | 0.198799i | \(0.0637042\pi\) | |||||||
\(620\) | 2.52164 | − | 1.45587i | 0.101271 | − | 0.0584691i | ||||
\(621\) | −2.42797 | − | 4.13581i | −0.0974311 | − | 0.165964i | ||||
\(622\) | 51.2179i | 2.05365i | ||||||||
\(623\) | −0.496022 | + | 3.31245i | −0.0198727 | + | 0.132711i | ||||
\(624\) | −91.7104 | + | 26.9286i | −3.67135 | + | 1.07801i | ||||
\(625\) | −8.12631 | − | 23.4794i | −0.325053 | − | 0.939178i | ||||
\(626\) | 0.771986 | − | 16.2060i | 0.0308547 | − | 0.647721i | ||||
\(627\) | −8.25353 | + | 23.8470i | −0.329614 | + | 0.952357i | ||||
\(628\) | 3.50953 | + | 1.40500i | 0.140045 | + | 0.0560657i | ||||
\(629\) | −1.25633 | + | 4.27867i | −0.0500931 | + | 0.170602i | ||||
\(630\) | 0.371047 | + | 0.651430i | 0.0147829 | + | 0.0259536i | ||||
\(631\) | −46.9052 | − | 6.74395i | −1.86727 | − | 0.268472i | −0.886366 | − | 0.462986i | \(-0.846778\pi\) |
−0.980900 | + | 0.194514i | \(0.937687\pi\) | |||||||
\(632\) | −31.1549 | + | 22.1853i | −1.23928 | + | 0.882484i | ||||
\(633\) | 1.15683 | + | 12.1149i | 0.0459798 | + | 0.481522i | ||||
\(634\) | 0.602002 | − | 0.241005i | 0.0239086 | − | 0.00957155i | ||||
\(635\) | 0.0505133 | + | 1.06041i | 0.00200456 | + | 0.0420809i | ||||
\(636\) | −35.8346 | − | 10.5220i | −1.42093 | − | 0.417224i | ||||
\(637\) | −36.8202 | + | 1.32310i | −1.45887 | + | 0.0524233i | ||||
\(638\) | −22.9297 | + | 19.8687i | −0.907797 | + | 0.786610i | ||||
\(639\) | 5.10245 | − | 2.63050i | 0.201850 | − | 0.104061i | ||||
\(640\) | −6.93188 | − | 1.33601i | −0.274007 | − | 0.0528104i | ||||
\(641\) | 19.5906 | − | 20.5460i | 0.773781 | − | 0.811518i | −0.212402 | − | 0.977182i | \(-0.568128\pi\) |
0.986182 | + | 0.165665i | \(0.0529770\pi\) | |||||||
\(642\) | −28.2994 | − | 2.70226i | −1.11689 | − | 0.106650i | ||||
\(643\) | 33.7298 | 1.33017 | 0.665086 | − | 0.746767i | \(-0.268395\pi\) | ||||
0.665086 | + | 0.746767i | \(0.268395\pi\) | |||||||
\(644\) | 67.1301 | + | 30.5429i | 2.64530 | + | 1.20356i | ||||
\(645\) | −0.839889 | −0.0330706 | ||||||||
\(646\) | 36.7594 | + | 3.51010i | 1.44628 | + | 0.138103i | ||||
\(647\) | 29.8806 | − | 31.3379i | 1.17473 | − | 1.23202i | 0.207466 | − | 0.978242i | \(-0.433478\pi\) |
0.967263 | − | 0.253778i | \(-0.0816732\pi\) | |||||||
\(648\) | 10.4635 | + | 2.01668i | 0.411046 | + | 0.0792227i | ||||
\(649\) | −20.8932 | + | 10.7712i | −0.820131 | + | 0.422807i | ||||
\(650\) | −55.4774 | + | 48.0714i | −2.17600 | + | 1.88552i | ||||
\(651\) | 5.50042 | − | 11.8604i | 0.215578 | − | 0.464847i | ||||
\(652\) | 30.4731 | + | 8.94770i | 1.19342 | + | 0.350419i | ||||
\(653\) | 0.924130 | + | 19.3999i | 0.0361640 | + | 0.759176i | 0.942013 | + | 0.335576i | \(0.108931\pi\) |
−0.905849 | + | 0.423600i | \(0.860766\pi\) | |||||||
\(654\) | −19.3960 | + | 7.76499i | −0.758444 | + | 0.303635i | ||||
\(655\) | −0.174189 | − | 1.82419i | −0.00680614 | − | 0.0712771i | ||||
\(656\) | 33.1812 | − | 23.6283i | 1.29551 | − | 0.922528i | ||||
\(657\) | 7.00734 | + | 1.00750i | 0.273382 | + | 0.0393065i | ||||
\(658\) | −10.7937 | − | 6.31608i | −0.420782 | − | 0.246226i | ||||
\(659\) | −11.7786 | + | 40.1141i | −0.458827 | + | 1.56262i | 0.327524 | + | 0.944843i | \(0.393786\pi\) |
−0.786351 | + | 0.617780i | \(0.788032\pi\) | |||||||
\(660\) | −1.67563 | − | 0.670820i | −0.0652238 | − | 0.0261117i | ||||
\(661\) | 7.78386 | − | 22.4900i | 0.302757 | − | 0.874759i | −0.686312 | − | 0.727307i | \(-0.740772\pi\) |
0.989069 | − | 0.147452i | \(-0.0471072\pi\) | |||||||
\(662\) | 2.48135 | − | 52.0900i | 0.0964406 | − | 2.02454i | ||||
\(663\) | 2.76063 | + | 7.97632i | 0.107214 | + | 0.309774i | ||||
\(664\) | 22.1373 | − | 6.50009i | 0.859093 | − | 0.252253i | ||||
\(665\) | −1.72893 | − | 1.37606i | −0.0670450 | − | 0.0533615i | ||||
\(666\) | − | 7.77245i | − | 0.301176i | ||||||
\(667\) | 6.43083 | + | 15.7318i | 0.249003 | + | 0.609138i | ||||
\(668\) | 83.7468 | − | 48.3512i | 3.24026 | − | 1.87076i | ||||
\(669\) | 3.27863 | − | 4.60419i | 0.126759 | − | 0.178008i | ||||
\(670\) | 0.960050 | + | 0.232906i | 0.0370900 | + | 0.00899793i | ||||
\(671\) | −16.6536 | − | 14.4305i | −0.642907 | − | 0.557082i | ||||
\(672\) | −71.0533 | + | 31.9488i | −2.74094 | + | 1.23245i | ||||
\(673\) | −3.41648 | − | 3.94282i | −0.131695 | − | 0.151985i | 0.686072 | − | 0.727534i | \(-0.259334\pi\) |
−0.817767 | + | 0.575549i | \(0.804788\pi\) | |||||||
\(674\) | −8.25458 | + | 20.6189i | −0.317954 | + | 0.794212i | ||||
\(675\) | 4.84907 | − | 1.17637i | 0.186641 | − | 0.0452786i | ||||
\(676\) | 75.9632 | + | 39.1618i | 2.92166 | + | 1.50622i | ||||
\(677\) | −15.5651 | − | 12.2405i | −0.598215 | − | 0.470442i | 0.272549 | − | 0.962142i | \(-0.412133\pi\) |
−0.870765 | + | 0.491700i | \(0.836376\pi\) | |||||||
\(678\) | 12.5640 | − | 27.5113i | 0.482517 | − | 1.05657i | ||||
\(679\) | −9.67464 | − | 5.05936i | −0.371279 | − | 0.194161i | ||||
\(680\) | −0.246542 | + | 1.71474i | −0.00945445 | + | 0.0657572i | ||||
\(681\) | 22.2164 | − | 1.05830i | 0.851334 | − | 0.0405541i | ||||
\(682\) | 9.97408 | + | 41.1137i | 0.381927 | + | 1.57433i | ||||
\(683\) | −19.1901 | + | 15.0912i | −0.734288 | + | 0.577451i | −0.913732 | − | 0.406318i | \(-0.866813\pi\) |
0.179444 | + | 0.983768i | \(0.442570\pi\) | |||||||
\(684\) | −47.0200 | + | 9.06237i | −1.79786 | + | 0.346508i | ||||
\(685\) | 0.678738 | − | 1.05614i | 0.0259332 | − | 0.0403529i | ||||
\(686\) | −50.9939 | + | 8.90461i | −1.94696 | + | 0.339979i | ||||
\(687\) | −3.85275 | − | 13.1213i | −0.146991 | − | 0.500607i | ||||
\(688\) | 14.3011 | − | 149.768i | 0.545226 | − | 5.70987i | ||||
\(689\) | 16.9098 | + | 29.2887i | 0.644212 | + | 1.11581i | ||||
\(690\) | −0.882440 | + | 1.03344i | −0.0335939 | + | 0.0393423i | ||||
\(691\) | −19.0184 | − | 10.9803i | −0.723493 | − | 0.417709i | 0.0925443 | − | 0.995709i | \(-0.470500\pi\) |
−0.816037 | + | 0.578000i | \(0.803833\pi\) | |||||||
\(692\) | 18.6408 | − | 8.51299i | 0.708619 | − | 0.323615i | ||||
\(693\) | −7.88673 | + | 1.86459i | −0.299592 | + | 0.0708301i | ||||
\(694\) | 16.9482 | − | 19.5592i | 0.643343 | − | 0.742458i | ||||
\(695\) | 0.422430 | + | 0.819400i | 0.0160237 | + | 0.0310816i | ||||
\(696\) | −35.6861 | − | 12.3511i | −1.35268 | − | 0.468167i | ||||
\(697\) | −2.22359 | − | 2.82752i | −0.0842244 | − | 0.107100i | ||||
\(698\) | −0.976489 | − | 1.02411i | −0.0369607 | − | 0.0387632i | ||||
\(699\) | 3.23314 | + | 5.03087i | 0.122289 | + | 0.190285i | ||||
\(700\) | −50.5876 | + | 57.6968i | −1.91203 | + | 2.18074i | ||||
\(701\) | −2.04900 | − | 0.935746i | −0.0773896 | − | 0.0353426i | 0.376344 | − | 0.926480i | \(-0.377181\pi\) |
−0.453734 | + | 0.891137i | \(0.649908\pi\) | |||||||
\(702\) | −8.53360 | − | 11.9838i | −0.322080 | − | 0.452298i | ||||
\(703\) | 8.51444 | + | 21.2680i | 0.321128 | + | 0.802140i | ||||
\(704\) | 64.5414 | − | 125.193i | 2.43249 | − | 4.71838i | ||||
\(705\) | 0.124077 | − | 0.118307i | 0.00467299 | − | 0.00445569i | ||||
\(706\) | 33.0586 | − | 4.75311i | 1.24418 | − | 0.178886i | ||||
\(707\) | −0.986853 | + | 2.42391i | −0.0371144 | + | 0.0911606i | ||||
\(708\) | −37.5243 | − | 24.1154i | −1.41025 | − | 0.906312i | ||||
\(709\) | −24.7974 | + | 8.58246i | −0.931285 | + | 0.322321i | −0.750249 | − | 0.661156i | \(-0.770066\pi\) |
−0.181036 | + | 0.983476i | \(0.557945\pi\) | |||||||
\(710\) | −1.17725 | − | 1.12251i | −0.0441816 | − | 0.0421270i | ||||
\(711\) | −2.92367 | − | 2.08193i | −0.109646 | − | 0.0780786i | ||||
\(712\) | 6.74504 | − | 11.6828i | 0.252781 | − | 0.437830i | ||||
\(713\) | 23.6067 | + | 2.08153i | 0.884077 | + | 0.0779539i | ||||
\(714\) | 5.37242 | + | 10.5722i | 0.201058 | + | 0.395654i | ||||
\(715\) | 0.678966 | + | 1.48673i | 0.0253919 | + | 0.0556005i | ||||
\(716\) | −19.9051 | + | 82.0499i | −0.743888 | + | 3.06635i | ||||
\(717\) | −5.01205 | + | 26.0050i | −0.187178 | + | 0.971173i | ||||
\(718\) | 46.9952 | + | 2.23866i | 1.75385 | + | 0.0835460i | ||||
\(719\) | 0.593665 | + | 3.08023i | 0.0221400 | + | 0.114873i | 0.991317 | − | 0.131491i | \(-0.0419763\pi\) |
−0.969177 | + | 0.246364i | \(0.920764\pi\) | |||||||
\(720\) | −0.261999 | − | 1.82224i | −0.00976411 | − | 0.0679109i | ||||
\(721\) | 4.04440 | + | 4.72295i | 0.150621 | + | 0.175892i | ||||
\(722\) | 114.915 | − | 73.8512i | 4.27668 | − | 2.74846i | ||||
\(723\) | 7.08886 | − | 9.01422i | 0.263638 | − | 0.335243i | ||||
\(724\) | −126.096 | + | 12.0407i | −4.68631 | + | 0.447488i | ||||
\(725\) | −17.6025 | + | 1.68084i | −0.653741 | + | 0.0624247i | ||||
\(726\) | −2.79480 | + | 3.55388i | −0.103725 | + | 0.131897i | ||||
\(727\) | 16.1507 | − | 10.3794i | 0.598997 | − | 0.384952i | −0.205720 | − | 0.978611i | \(-0.565954\pi\) |
0.804717 | + | 0.593659i | \(0.202317\pi\) | |||||||
\(728\) | 139.946 | + | 49.3530i | 5.18675 | + | 1.82914i | ||||
\(729\) | 0.142315 | + | 0.989821i | 0.00527092 | + | 0.0366601i | ||||
\(730\) | −0.379637 | − | 1.96975i | −0.0140510 | − | 0.0729035i | ||||
\(731\) | −13.2707 | − | 0.632159i | −0.490833 | − | 0.0233813i | ||||
\(732\) | 7.91355 | − | 41.0594i | 0.292493 | − | 1.51760i | ||||
\(733\) | −2.70628 | + | 11.1555i | −0.0999589 | + | 0.412036i | −0.999703 | − | 0.0243823i | \(-0.992238\pi\) |
0.899744 | + | 0.436418i | \(0.143753\pi\) | |||||||
\(734\) | −3.57831 | − | 7.83541i | −0.132078 | − | 0.289210i | ||||
\(735\) | 0.0757026 | − | 0.705590i | 0.00279233 | − | 0.0260261i | ||||
\(736\) | −98.1889 | − | 101.494i | −3.61929 | − | 3.74110i | ||||
\(737\) | −5.33957 | + | 9.24841i | −0.196686 | + | 0.340670i | ||||
\(738\) | 5.10713 | + | 3.63677i | 0.187996 | + | 0.133872i | ||||
\(739\) | −32.7880 | − | 31.2633i | −1.20613 | − | 1.15004i | −0.984588 | − | 0.174889i | \(-0.944043\pi\) |
−0.221539 | − | 0.975151i | \(-0.571108\pi\) | |||||||
\(740\) | −1.54844 | + | 0.535922i | −0.0569220 | + | 0.0197009i | ||||
\(741\) | 36.4786 | + | 23.4434i | 1.34007 | + | 0.861214i | ||||
\(742\) | 29.1541 | + | 37.5213i | 1.07028 | + | 1.37745i | ||||
\(743\) | 6.77952 | − | 0.974748i | 0.248717 | − | 0.0357600i | −0.0168289 | − | 0.999858i | \(-0.505357\pi\) |
0.265545 | + | 0.964098i | \(0.414448\pi\) | |||||||
\(744\) | −38.1092 | + | 36.3371i | −1.39715 | + | 1.33218i | ||||
\(745\) | 0.474556 | − | 0.920510i | 0.0173864 | − | 0.0337249i | ||||
\(746\) | −17.1709 | − | 42.8909i | −0.628673 | − | 1.57035i | ||||
\(747\) | 1.25590 | + | 1.76366i | 0.0459510 | + | 0.0645291i | ||||
\(748\) | −25.9708 | − | 11.8605i | −0.949588 | − | 0.433662i | ||||
\(749\) | 20.2335 | + | 17.7404i | 0.739315 | + | 0.648218i | ||||
\(750\) | −1.53037 | − | 2.38130i | −0.0558811 | − | 0.0869527i | ||||
\(751\) | 17.4343 | + | 18.2846i | 0.636187 | + | 0.667214i | 0.960353 | − | 0.278786i | \(-0.0899321\pi\) |
−0.324166 | + | 0.946000i | \(0.605084\pi\) | |||||||
\(752\) | 18.9837 | + | 24.1397i | 0.692263 | + | 0.880284i | ||||
\(753\) | 15.4325 | + | 5.34123i | 0.562391 | + | 0.194645i | ||||
\(754\) | 23.8897 | + | 46.3396i | 0.870012 | + | 1.68759i | ||||
\(755\) | 0.797296 | − | 0.920129i | 0.0290166 | − | 0.0334869i | ||||
\(756\) | −10.5471 | − | 11.1916i | −0.383593 | − | 0.407034i | ||||
\(757\) | 4.34389 | − | 1.98379i | 0.157881 | − | 0.0721019i | −0.334907 | − | 0.942251i | \(-0.608705\pi\) |
0.492788 | + | 0.870149i | \(0.335978\pi\) | |||||||
\(758\) | −51.4193 | − | 29.6870i | −1.86763 | − | 1.07828i | ||||
\(759\) | −8.03143 | − | 12.3001i | −0.291522 | − | 0.446466i | ||||
\(760\) | 4.44991 | + | 7.70748i | 0.161415 | + | 0.279580i | ||||
\(761\) | −4.27856 | + | 44.8071i | −0.155098 | + | 1.62426i | 0.498136 | + | 0.867099i | \(0.334018\pi\) |
−0.653234 | + | 0.757156i | \(0.726588\pi\) | |||||||
\(762\) | −8.24622 | − | 28.0840i | −0.298729 | − | 1.01738i | ||||
\(763\) | 19.1914 | + | 4.77463i | 0.694775 | + | 0.172853i | ||||
\(764\) | −41.0682 | + | 63.9033i | −1.48579 | + | 2.31194i | ||||
\(765\) | −0.159633 | + | 0.0307667i | −0.00577154 | + | 0.00111237i | ||||
\(766\) | −62.2239 | + | 48.9334i | −2.24824 | + | 1.76804i | ||||
\(767\) | 9.52274 | + | 39.2533i | 0.343846 | + | 1.41735i | ||||
\(768\) | 102.554 | − | 4.88525i | 3.70060 | − | 0.176281i | ||||
\(769\) | 4.06906 | − | 28.3009i | 0.146734 | − | 1.02056i | −0.774785 | − | 0.632224i | \(-0.782142\pi\) |
0.921519 | − | 0.388332i | \(-0.126949\pi\) | |||||||
\(770\) | 1.23020 | + | 1.93904i | 0.0443335 | + | 0.0698783i | ||||
\(771\) | 5.74486 | − | 12.5795i | 0.206896 | − | 0.453039i | ||||
\(772\) | −65.4988 | − | 51.5089i | −2.35735 | − | 1.85384i | ||||
\(773\) | 13.6251 | + | 7.02422i | 0.490060 | + | 0.252644i | 0.685501 | − | 0.728072i | \(-0.259583\pi\) |
−0.195441 | + | 0.980716i | \(0.562614\pi\) | |||||||
\(774\) | 22.5039 | − | 5.45939i | 0.808886 | − | 0.196234i | ||||
\(775\) | −9.16385 | + | 22.8902i | −0.329175 | + | 0.822240i | ||||
\(776\) | 28.7958 | + | 33.2321i | 1.03371 | + | 1.19296i | ||||
\(777\) | −4.30253 | + | 5.96798i | −0.154352 | + | 0.214100i | ||||
\(778\) | −27.7476 | − | 24.0435i | −0.994801 | − | 0.862000i | ||||
\(779\) | −17.9588 | − | 4.35676i | −0.643441 | − | 0.156097i | ||||
\(780\) | −1.79903 | + | 2.52638i | −0.0644155 | + | 0.0904589i | ||||
\(781\) | 15.2281 | − | 8.79196i | 0.544905 | − | 0.314601i | ||||
\(782\) | −14.7208 | + | 15.6646i | −0.526415 | + | 0.560166i | ||||
\(783\) | − | 3.54380i | − | 0.126645i | ||||||
\(784\) | 124.531 | + | 25.5136i | 4.44755 | + | 0.911201i | ||||
\(785\) | 0.0632632 | − | 0.0185757i | 0.00225796 | − | 0.000662996i | ||||
\(786\) | 16.5247 | + | 47.7450i | 0.589417 | + | 1.70301i | ||||
\(787\) | −1.31502 | + | 27.6057i | −0.0468754 | + | 0.984036i | 0.845846 | + | 0.533427i | \(0.179096\pi\) |
−0.892722 | + | 0.450609i | \(0.851207\pi\) | |||||||
\(788\) | 8.91521 | − | 25.7588i | 0.317591 | − | 0.917619i | ||||
\(789\) | 0.183331 | + | 0.0733946i | 0.00652675 | + | 0.00261292i | ||||
\(790\) | −0.286528 | + | 0.975825i | −0.0101942 | + | 0.0347183i | ||||
\(791\) | −24.8763 | + | 14.1693i | −0.884500 | + | 0.503801i | ||||
\(792\) | 32.3082 | + | 4.64522i | 1.14802 | + | 0.165061i | ||||
\(793\) | −30.8441 | + | 21.9640i | −1.09531 | + | 0.779965i | ||||
\(794\) | −1.06007 | − | 11.1016i | −0.0376206 | − | 0.393981i | ||||
\(795\) | −0.604729 | + | 0.242097i | −0.0214475 | + | 0.00858630i | ||||
\(796\) | 1.29430 | + | 27.1707i | 0.0458752 | + | 0.963039i | ||||
\(797\) | −20.7398 | − | 6.08975i | −0.734641 | − | 0.215710i | −0.107050 | − | 0.994254i | \(-0.534141\pi\) |
−0.627590 | + | 0.778544i | \(0.715959\pi\) | |||||||
\(798\) | 55.2694 | + | 25.6319i | 1.95651 | + | 0.907358i | ||||
\(799\) | 2.04952 | − | 1.77591i | 0.0725066 | − | 0.0628274i | ||||
\(800\) | 130.592 | − | 67.3251i | 4.61714 | − | 2.38030i | ||||
\(801\) | 1.24307 | + | 0.239582i | 0.0439218 | + | 0.00846523i | ||||
\(802\) | −68.7254 | + | 72.0772i | −2.42678 | + | 2.54513i | ||||
\(803\) | 21.5866 | + | 2.06127i | 0.761774 | + | 0.0727406i | ||||
\(804\) | −20.2646 | −0.714677 | ||||||||
\(805\) | 1.24964 | − | 0.305028i | 0.0440441 | − | 0.0107508i | ||||
\(806\) | 72.6966 | 2.56063 | ||||||||
\(807\) | 11.4829 | + | 1.09649i | 0.404218 | + | 0.0385982i | ||||
\(808\) | 7.27393 | − | 7.62868i | 0.255896 | − | 0.268376i | ||||
\(809\) | 37.6956 | + | 7.26524i | 1.32531 | + | 0.255432i | 0.802313 | − | 0.596904i | \(-0.203603\pi\) |
0.522995 | + | 0.852336i | \(0.324815\pi\) | |||||||
\(810\) | 0.251858 | − | 0.129842i | 0.00884937 | − | 0.00456217i | ||||
\(811\) | −19.8485 | + | 17.1988i | −0.696976 | + | 0.603933i | −0.929572 | − | 0.368640i | \(-0.879823\pi\) |
0.232596 | + | 0.972573i | \(0.425278\pi\) | |||||||
\(812\) | 31.3519 | + | 44.5763i | 1.10024 | + | 1.56432i | ||||
\(813\) | 17.6047 | + | 5.16919i | 0.617422 | + | 0.181292i | ||||
\(814\) | −1.13281 | − | 23.7807i | −0.0397051 | − | 0.833512i | ||||
\(815\) | 0.514251 | − | 0.205875i | 0.0180134 | − | 0.00721149i | ||||
\(816\) | −2.76816 | − | 28.9895i | −0.0969050 | − | 1.01483i | ||||
\(817\) | −55.5977 | + | 39.5910i | −1.94512 | + | 1.38511i | ||||
\(818\) | 27.9045 | + | 4.01206i | 0.975657 | + | 0.140278i | ||||
\(819\) | −0.0813335 | + | 13.9255i | −0.00284202 | + | 0.486595i | ||||
\(820\) | 0.372382 | − | 1.26822i | 0.0130041 | − | 0.0442880i | ||||
\(821\) | −28.7722 | − | 11.5186i | −1.00416 | − | 0.402004i | −0.189458 | − | 0.981889i | \(-0.560673\pi\) |
−0.814698 | + | 0.579885i | \(0.803097\pi\) | |||||||
\(822\) | −11.3210 | + | 32.7099i | −0.394866 | + | 1.14089i | ||||
\(823\) | 1.67945 | − | 35.2561i | 0.0585421 | − | 1.22895i | −0.758229 | − | 0.651988i | \(-0.773935\pi\) |
0.816771 | − | 0.576962i | \(-0.195762\pi\) | |||||||
\(824\) | −8.19101 | − | 23.6664i | −0.285347 | − | 0.824457i | ||||
\(825\) | 14.6648 | − | 4.30598i | 0.510563 | − | 0.149915i | ||||
\(826\) | 20.7839 | + | 52.8075i | 0.723165 | + | 1.83741i | ||||
\(827\) | 0.570054i | 0.0198227i | 0.999951 | + | 0.00991136i | \(0.00315494\pi\) | ||||
−0.999951 | + | 0.00991136i | \(0.996845\pi\) | |||||||
\(828\) | 12.5933 | − | 24.8688i | 0.437648 | − | 0.864249i | ||||
\(829\) | 14.8389 | − | 8.56724i | 0.515376 | − | 0.297552i | −0.219665 | − | 0.975575i | \(-0.570496\pi\) |
0.735041 | + | 0.678023i | \(0.237163\pi\) | |||||||
\(830\) | 0.355868 | − | 0.499746i | 0.0123523 | − | 0.0173464i | ||||
\(831\) | 18.4238 | + | 4.46957i | 0.639115 | + | 0.155048i | ||||
\(832\) | −182.913 | − | 158.495i | −6.34138 | − | 5.49484i | ||||
\(833\) | 1.72721 | − | 11.0917i | 0.0598444 | − | 0.384304i | ||||
\(834\) | −16.6447 | − | 19.2091i | −0.576360 | − | 0.665155i | ||||
\(835\) | 0.626854 | − | 1.56581i | 0.0216932 | − | 0.0541869i | ||||
\(836\) | −142.542 | + | 34.5803i | −4.92992 | + | 1.19599i | ||||
\(837\) | −4.39212 | − | 2.26430i | −0.151814 | − | 0.0782655i | ||||
\(838\) | 16.7397 | + | 13.1642i | 0.578262 | + | 0.454750i | ||||
\(839\) | 18.3146 | − | 40.1035i | 0.632292 | − | 1.38453i | −0.273941 | − | 0.961746i | \(-0.588327\pi\) |
0.906233 | − | 0.422779i | \(-0.138945\pi\) | |||||||
\(840\) | −1.32450 | + | 2.53275i | −0.0456997 | + | 0.0873880i | ||||
\(841\) | 2.33987 | − | 16.2741i | 0.0806851 | − | 0.561177i | ||||
\(842\) | −8.28380 | + | 0.394606i | −0.285479 | + | 0.0135990i | ||||
\(843\) | 2.94961 | + | 12.1584i | 0.101590 | + | 0.418759i | ||||
\(844\) | −55.6033 | + | 43.7269i | −1.91395 | + | 1.50514i | ||||
\(845\) | 1.46367 | − | 0.282099i | 0.0503517 | − | 0.00970449i | ||||
\(846\) | −2.55549 | + | 3.97641i | −0.0878594 | + | 0.136712i | ||||
\(847\) | 4.11324 | − | 1.18171i | 0.141333 | − | 0.0406039i | ||||
\(848\) | −32.8736 | − | 111.957i | −1.12888 | − | 3.84462i | ||||
\(849\) | 1.91020 | − | 20.0045i | 0.0655579 | − | 0.686553i | ||||
\(850\) | −11.1826 | − | 19.3688i | −0.383560 | − | 0.664345i | ||||
\(851\) | −12.8228 | − | 3.66432i | −0.439559 | − | 0.125611i | ||||
\(852\) | 28.8967 | + | 16.6835i | 0.989983 | + | 0.571567i | ||||
\(853\) | 29.4613 | − | 13.4545i | 1.00873 | − | 0.460673i | 0.158658 | − | 0.987334i | \(-0.449283\pi\) |
0.850076 | + | 0.526660i | \(0.176556\pi\) | |||||||
\(854\) | −38.7168 | + | 36.4871i | −1.32486 | + | 1.24856i | ||||
\(855\) | −0.546931 | + | 0.631192i | −0.0187046 | + | 0.0215863i | ||||
\(856\) | −49.6630 | − | 96.3327i | −1.69745 | − | 3.29259i | ||||
\(857\) | −3.20714 | − | 1.11000i | −0.109554 | − | 0.0379170i | 0.271741 | − | 0.962370i | \(-0.412401\pi\) |
−0.381295 | + | 0.924453i | \(0.624522\pi\) | |||||||
\(858\) | −27.8561 | − | 35.4219i | −0.950991 | − | 1.20928i | ||||
\(859\) | −18.0172 | − | 18.8959i | −0.614738 | − | 0.644719i | 0.340609 | − | 0.940205i | \(-0.389367\pi\) |
−0.955347 | + | 0.295486i | \(0.904518\pi\) | |||||||
\(860\) | −2.63931 | − | 4.10685i | −0.0899997 | − | 0.140042i | ||||
\(861\) | −1.90827 | − | 5.61957i | −0.0650337 | − | 0.191514i | ||||
\(862\) | 80.3565 | + | 36.6976i | 2.73695 | + | 1.24992i | ||||
\(863\) | −0.877192 | − | 1.23184i | −0.0298600 | − | 0.0419325i | 0.799376 | − | 0.600831i | \(-0.205164\pi\) |
−0.829236 | + | 0.558899i | \(0.811224\pi\) | |||||||
\(864\) | 10.9438 | + | 27.3363i | 0.372316 | + | 0.930001i | ||||
\(865\) | 0.163780 | − | 0.317689i | 0.00556868 | − | 0.0108017i | ||||
\(866\) | −44.0976 | + | 42.0470i | −1.49850 | + | 1.42881i | ||||
\(867\) | 14.2815 | − | 2.05337i | 0.485026 | − | 0.0697362i | ||||
\(868\) | 75.2793 | − | 10.3751i | 2.55514 | − | 0.352155i | ||||
\(869\) | −9.24872 | − | 5.94379i | −0.313741 | − | 0.201629i | ||||
\(870\) | −0.948931 | + | 0.328428i | −0.0321718 | + | 0.0111348i | ||||
\(871\) | 13.2808 | + | 12.6632i | 0.450004 | + | 0.429078i | ||||
\(872\) | −64.8826 | − | 46.2027i | −2.19720 | − | 1.56462i | ||||
\(873\) | −2.06325 | + | 3.57365i | −0.0698304 | + | 0.120950i | ||||
\(874\) | −9.69989 | + | 110.007i | −0.328104 | + | 3.72103i | ||||
\(875\) | −0.143122 | + | 2.67560i | −0.00483840 | + | 0.0904519i | ||||
\(876\) | 17.0938 | + | 37.4302i | 0.577545 | + | 1.26465i | ||||
\(877\) | −0.192572 | + | 0.793792i | −0.00650269 | + | 0.0268044i | −0.974970 | − | 0.222334i | \(-0.928632\pi\) |
0.968468 | + | 0.249139i | \(0.0801475\pi\) | |||||||
\(878\) | −4.69026 | + | 24.3354i | −0.158289 | + | 0.821279i | ||||
\(879\) | −7.61114 | − | 0.362563i | −0.256717 | − | 0.0122290i | ||||
\(880\) | −1.06720 | − | 5.53716i | −0.0359753 | − | 0.186658i | ||||
\(881\) | −5.99750 | − | 41.7135i | −0.202061 | − | 1.40536i | −0.798156 | − | 0.602450i | \(-0.794191\pi\) |
0.596096 | − | 0.802913i | \(-0.296718\pi\) | |||||||
\(882\) | 2.55806 | + | 19.3976i | 0.0861344 | + | 0.653151i | ||||
\(883\) | 3.18502 | − | 2.04689i | 0.107184 | − | 0.0688832i | −0.485950 | − | 0.873986i | \(-0.661526\pi\) |
0.593135 | + | 0.805103i | \(0.297890\pi\) | |||||||
\(884\) | −30.3270 | + | 38.5640i | −1.02001 | + | 1.29705i | ||||
\(885\) | −0.774452 | + | 0.0739512i | −0.0260329 | + | 0.00248584i | ||||
\(886\) | 59.6502 | − | 5.69590i | 2.00399 | − | 0.191358i | ||||
\(887\) | 31.4061 | − | 39.9361i | 1.05451 | − | 1.34092i | 0.116940 | − | 0.993139i | \(-0.462691\pi\) |
0.937574 | − | 0.347785i | \(-0.113066\pi\) | |||||||
\(888\) | 24.9281 | − | 16.0203i | 0.836533 | − | 0.537607i | ||||
\(889\) | −9.21449 | + | 26.1288i | −0.309044 | + | 0.876331i | ||||
\(890\) | −0.0510505 | − | 0.355064i | −0.00171122 | − | 0.0119018i | ||||
\(891\) | 0.579692 | + | 3.00773i | 0.0194204 | + | 0.100763i | ||||
\(892\) | 32.8163 | + | 1.56323i | 1.09877 | + | 0.0523409i | ||||
\(893\) | 2.63665 | − | 13.6803i | 0.0882322 | − | 0.457792i | ||||
\(894\) | −6.73177 | + | 27.7487i | −0.225144 | + | 0.928057i | ||||
\(895\) | 0.611728 | + | 1.33950i | 0.0204478 | + | 0.0447745i | ||||
\(896\) | −154.407 | − | 100.510i | −5.15837 | − | 3.35781i | ||||
\(897\) | −23.7936 | + | 8.42877i | −0.794447 | + | 0.281428i | ||||
\(898\) | −20.1410 | + | 34.8853i | −0.672114 | + | 1.16414i | ||||
\(899\) | 14.2644 | + | 10.1576i | 0.475744 | + | 0.338776i | ||||
\(900\) | 20.9901 | + | 20.0140i | 0.699671 | + | 0.667135i | ||||
\(901\) | −9.73723 | + | 3.37009i | −0.324394 | + | 0.112274i | ||||
\(902\) | 16.1559 | + | 10.3828i | 0.537932 | + | 0.345708i | ||||
\(903\) | −20.3015 | − | 8.26538i | −0.675590 | − | 0.275055i | ||||
\(904\) | 114.132 | − | 16.4097i | 3.79597 | − | 0.545778i | ||||
\(905\) | −1.59893 | + | 1.52458i | −0.0531504 | + | 0.0506788i | ||||
\(906\) | −15.3817 | + | 29.8364i | −0.511023 | + | 0.991247i | ||||
\(907\) | 3.05838 | + | 7.63947i | 0.101552 | + | 0.253664i | 0.970439 | − | 0.241345i | \(-0.0775887\pi\) |
−0.868887 | + | 0.495010i | \(0.835164\pi\) | |||||||
\(908\) | 74.9887 | + | 105.307i | 2.48859 | + | 3.49473i | ||||
\(909\) | 0.899782 | + | 0.410917i | 0.0298439 | + | 0.0136293i | ||||
\(910\) | 3.73639 | − | 1.26879i | 0.123860 | − | 0.0420600i | ||||
\(911\) | 4.12929 | + | 6.42529i | 0.136809 | + | 0.212879i | 0.902897 | − | 0.429856i | \(-0.141436\pi\) |
−0.766088 | + | 0.642736i | \(0.777799\pi\) | |||||||
\(912\) | −103.241 | − | 108.276i | −3.41864 | − | 3.58537i | ||||
\(913\) | 4.09961 | + | 5.21308i | 0.135677 | + | 0.172528i | ||||
\(914\) | 58.0030 | + | 20.0750i | 1.91857 | + | 0.664023i | ||||
\(915\) | −0.334190 | − | 0.648238i | −0.0110480 | − | 0.0214301i | ||||
\(916\) | 52.0525 | − | 60.0718i | 1.71986 | − | 1.98483i | ||||
\(917\) | 13.7415 | − | 45.8078i | 0.453785 | − | 1.51271i | ||||
\(918\) | 4.07720 | − | 1.86199i | 0.134568 | − | 0.0614550i | ||||
\(919\) | 39.6321 | + | 22.8816i | 1.30734 | + | 0.754794i | 0.981652 | − | 0.190683i | \(-0.0610704\pi\) |
0.325689 | + | 0.945477i | \(0.394404\pi\) | |||||||
\(920\) | −5.13334 | − | 0.700106i | −0.169241 | − | 0.0230818i | ||||
\(921\) | 12.5088 | + | 21.6659i | 0.412180 | + | 0.713917i | ||||
\(922\) | 8.56627 | − | 89.7101i | 0.282115 | − | 2.95444i | ||||
\(923\) | −8.51260 | − | 28.9913i | −0.280196 | − | 0.954259i | ||||
\(924\) | −33.9010 | − | 32.7047i | −1.11526 | − | 1.07591i | ||||
\(925\) | 7.50152 | − | 11.6726i | 0.246649 | − | 0.383793i | ||||
\(926\) | 20.4605 | − | 3.94344i | 0.672375 | − | 0.129590i | ||||
\(927\) | 1.84737 | − | 1.45278i | 0.0606755 | − | 0.0477157i | ||||
\(928\) | −24.6013 | − | 101.408i | −0.807576 | − | 3.32887i | ||||
\(929\) | −35.8075 | + | 1.70572i | −1.17481 | + | 0.0559629i | −0.625888 | − | 0.779913i | \(-0.715263\pi\) |
−0.548919 | + | 0.835876i | \(0.684960\pi\) | |||||||
\(930\) | −0.199268 | + | 1.38594i | −0.00653424 | + | 0.0454466i | ||||
\(931\) | −28.2491 | − | 50.2761i | −0.925827 | − | 1.64773i | ||||
\(932\) | −14.4397 | + | 31.6185i | −0.472988 | + | 1.03570i | ||||
\(933\) | −14.4039 | − | 11.3273i | −0.471562 | − | 0.370840i | ||||
\(934\) | −98.9527 | − | 51.0137i | −3.23783 | − | 1.66922i | ||||
\(935\) | −0.483930 | + | 0.117400i | −0.0158262 | + | 0.00383940i | ||||
\(936\) | 20.8456 | − | 52.0698i | 0.681360 | − | 1.70196i | ||||
\(937\) | −4.02534 | − | 4.64549i | −0.131502 | − | 0.151761i | 0.686180 | − | 0.727432i | \(-0.259286\pi\) |
−0.817682 | + | 0.575671i | \(0.804741\pi\) | |||||||
\(938\) | 20.9139 | + | 15.0776i | 0.682863 | + | 0.492301i | ||||
\(939\) | 4.38684 | + | 3.80122i | 0.143159 | + | 0.124048i | ||||
\(940\) | 0.968394 | + | 0.234930i | 0.0315855 | + | 0.00766257i | ||||
\(941\) | −15.9853 | + | 22.4482i | −0.521105 | + | 0.731789i | −0.988326 | − | 0.152351i | \(-0.951316\pi\) |
0.467222 | + | 0.884140i | \(0.345255\pi\) | |||||||
\(942\) | −1.57432 | + | 0.908935i | −0.0512942 | + | 0.0296147i | ||||
\(943\) | 8.40761 | − | 6.71106i | 0.273789 | − | 0.218542i | ||||
\(944\) | − | 139.359i | − | 4.53575i | ||||||
\(945\) | −0.265261 | − | 0.0397214i | −0.00862894 | − | 0.00129214i | ||||
\(946\) | 68.0575 | − | 19.9835i | 2.21274 | − | 0.649719i | ||||
\(947\) | 0.655391 | + | 1.89363i | 0.0212973 | + | 0.0615346i | 0.955148 | − | 0.296127i | \(-0.0956952\pi\) |
−0.933851 | + | 0.357662i | \(0.883574\pi\) | |||||||
\(948\) | 0.992654 | − | 20.8384i | 0.0322399 | − | 0.676799i | ||||
\(949\) | 12.1872 | − | 35.2125i | 0.395612 | − | 1.14305i | ||||
\(950\) | −106.668 | − | 42.7034i | −3.46076 | − | 1.38548i | ||||
\(951\) | −0.0653614 | + | 0.222601i | −0.00211949 | + | 0.00721832i | ||||
\(952\) | −22.8341 | + | 39.0217i | −0.740057 | + | 1.26470i | ||||
\(953\) | 7.43608 | + | 1.06915i | 0.240878 | + | 0.0346331i | 0.261696 | − | 0.965150i | \(-0.415718\pi\) |
−0.0208183 | + | 0.999783i | \(0.506627\pi\) | |||||||
\(954\) | 14.6294 | − | 10.4175i | 0.473644 | − | 0.337280i | ||||
\(955\) | 0.125938 | + | 1.31888i | 0.00407526 | + | 0.0426780i | ||||
\(956\) | −142.908 | + | 57.2117i | −4.62197 | + | 1.85036i | ||||
\(957\) | −0.516499 | − | 10.8426i | −0.0166960 | − | 0.350493i | ||||
\(958\) | 36.9175 | + | 10.8399i | 1.19275 | + | 0.350223i | ||||
\(959\) | 26.7997 | − | 18.8490i | 0.865406 | − | 0.608667i | ||||
\(960\) | 3.52304 | − | 3.05273i | 0.113706 | − | 0.0985265i | ||||
\(961\) | −5.85054 | + | 3.01616i | −0.188727 | + | 0.0972955i | ||||
\(962\) | −40.1703 | − | 7.74220i | −1.29514 | − | 0.249619i | ||||
\(963\) | 7.01864 | − | 7.36094i | 0.226173 | − | 0.237203i | ||||
\(964\) | 66.3537 | + | 6.33601i | 2.13711 | + | 0.204069i | ||||
\(965\) | −1.45332 | −0.0467841 | ||||||||
\(966\) | −31.5001 | + | 16.2957i | −1.01350 | + | 0.524306i | ||||
\(967\) | −29.6202 | −0.952522 | −0.476261 | − | 0.879304i | \(-0.658008\pi\) | ||||
−0.476261 | + | 0.879304i | \(0.658008\pi\) | |||||||
\(968\) | −17.1587 | − | 1.63846i | −0.551501 | − | 0.0526620i | ||||
\(969\) | −9.11685 | + | 9.56147i | −0.292875 | + | 0.307159i | ||||
\(970\) | 1.14814 | + | 0.221286i | 0.0368646 | + | 0.00710507i | ||||
\(971\) | 8.37986 | − | 4.32012i | 0.268922 | − | 0.138639i | −0.318492 | − | 0.947926i | \(-0.603176\pi\) |
0.587414 | + | 0.809287i | \(0.300146\pi\) | |||||||
\(972\) | −4.39276 | + | 3.80635i | −0.140898 | + | 0.122089i | ||||
\(973\) | 2.14706 | + | 23.9633i | 0.0688317 | + | 0.768229i | ||||
\(974\) | −62.5349 | − | 18.3619i | −2.00375 | − | 0.588353i | ||||
\(975\) | −1.24964 | − | 26.2332i | −0.0400206 | − | 0.840136i | ||||
\(976\) | 121.284 | − | 48.5547i | 3.88220 | − | 1.55420i | ||||
\(977\) | 3.45603 | + | 36.1932i | 0.110568 | + | 1.15792i | 0.865079 | + | 0.501635i | \(0.167268\pi\) |
−0.754511 | + | 0.656287i | \(0.772126\pi\) | |||||||
\(978\) | −12.4406 | + | 8.85889i | −0.397806 | + | 0.283276i | ||||
\(979\) | 3.83823 | + | 0.551855i | 0.122670 | + | 0.0176373i | ||||
\(980\) | 3.68805 | − | 1.84712i | 0.117810 | − | 0.0590039i | ||||
\(981\) | 2.10589 | − | 7.17200i | 0.0672359 | − | 0.228984i | ||||
\(982\) | −42.2611 | − | 16.9188i | −1.34860 | − | 0.539900i | ||||
\(983\) | 12.6182 | − | 36.4578i | 0.402457 | − | 1.16282i | −0.543745 | − | 0.839250i | \(-0.682994\pi\) |
0.946203 | − | 0.323574i | \(-0.104885\pi\) | |||||||
\(984\) | −1.13735 | + | 23.8758i | −0.0362572 | + | 0.761133i | ||||
\(985\) | −0.155493 | − | 0.449269i | −0.00495443 | − | 0.0143149i | ||||
\(986\) | −15.2408 | + | 4.47509i | −0.485365 | + | 0.142516i | ||||
\(987\) | 4.16339 | − | 1.63862i | 0.132522 | − | 0.0521579i | ||||
\(988\) | 252.041i | 8.01848i | ||||||||
\(989\) | 1.60270 | − | 39.7002i | 0.0509628 | − | 1.26239i | ||||
\(990\) | 0.751662 | − | 0.433972i | 0.0238894 | − | 0.0137925i | ||||
\(991\) | −6.97055 | + | 9.78877i | −0.221427 | + | 0.310951i | −0.910314 | − | 0.413918i | \(-0.864160\pi\) |
0.688887 | + | 0.724868i | \(0.258099\pi\) | |||||||
\(992\) | −141.402 | − | 34.3037i | −4.48951 | − | 1.08914i | ||||
\(993\) | 14.1004 | + | 12.2181i | 0.447462 | + | 0.387728i | ||||
\(994\) | −17.4094 | − | 38.7182i | −0.552194 | − | 1.22807i | ||||
\(995\) | 0.310686 | + | 0.358551i | 0.00984941 | + | 0.0113668i | ||||
\(996\) | −4.67727 | + | 11.6833i | −0.148205 | + | 0.370198i | ||||
\(997\) | 55.9977 | − | 13.5849i | 1.77346 | − | 0.430238i | 0.790263 | − | 0.612767i | \(-0.209944\pi\) |
0.983200 | + | 0.182530i | \(0.0584286\pi\) | |||||||
\(998\) | −59.6792 | − | 30.7668i | −1.88911 | − | 0.973906i | ||||
\(999\) | 2.18583 | + | 1.71895i | 0.0691565 | + | 0.0543853i |
(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 | 483.2.bf.a.19.1 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.157.32 | yes | 640 | |
23.17 | odd | 22 | inner | 483.2.bf.a.40.32 | yes | 640 | |
161.17 | even | 66 | inner | 483.2.bf.a.178.1 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.1 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.40.32 | yes | 640 | 23.17 | odd | 22 | inner | |
483.2.bf.a.157.32 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.178.1 | yes | 640 | 161.17 | even | 66 | inner |