Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.8 | ||
Character | \(\chi\) | \(=\) | 370.97 |
Dual form | 370.2.q.f.103.8 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0.686833 | − | 2.56329i | 0.396543 | − | 1.47992i | −0.422593 | − | 0.906320i | \(-0.638880\pi\) |
0.819136 | − | 0.573599i | \(-0.194453\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.84814 | + | 1.25873i | −0.826512 | + | 0.562920i | ||||
\(6\) | −1.87646 | − | 1.87646i | −0.766062 | − | 0.766062i | ||||
\(7\) | 0.524210 | − | 1.95638i | 0.198133 | − | 0.739441i | −0.793301 | − | 0.608830i | \(-0.791639\pi\) |
0.991434 | − | 0.130612i | \(-0.0416941\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −3.50066 | − | 2.02111i | −1.16689 | − | 0.673703i | ||||
\(10\) | 0.166021 | + | 2.22990i | 0.0525004 | + | 0.705155i | ||||
\(11\) | 1.12383i | 0.338848i | 0.985543 | + | 0.169424i | \(0.0541907\pi\) | ||||
−0.985543 | + | 0.169424i | \(0.945809\pi\) | |||||||
\(12\) | −2.56329 | + | 0.686833i | −0.739959 | + | 0.198272i | ||||
\(13\) | −2.37951 | − | 4.12143i | −0.659957 | − | 1.14308i | −0.980626 | − | 0.195888i | \(-0.937241\pi\) |
0.320669 | − | 0.947191i | \(-0.396092\pi\) | |||||||
\(14\) | −1.43217 | − | 1.43217i | −0.382763 | − | 0.382763i | ||||
\(15\) | 1.95713 | + | 5.60185i | 0.505328 | + | 1.44639i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.528152 | + | 0.304929i | 0.128096 | + | 0.0739561i | 0.562679 | − | 0.826676i | \(-0.309771\pi\) |
−0.434583 | + | 0.900632i | \(0.643104\pi\) | |||||||
\(18\) | −3.50066 | + | 2.02111i | −0.825115 | + | 0.476380i | ||||
\(19\) | −0.968309 | − | 0.259458i | −0.222145 | − | 0.0595237i | 0.146029 | − | 0.989280i | \(-0.453351\pi\) |
−0.368175 | + | 0.929757i | \(0.620017\pi\) | |||||||
\(20\) | 2.01416 | + | 0.971170i | 0.450379 | + | 0.217160i | ||||
\(21\) | −4.65473 | − | 2.68741i | −1.01575 | − | 0.586441i | ||||
\(22\) | 0.973266 | + | 0.561916i | 0.207501 | + | 0.119801i | ||||
\(23\) | 5.88152 | 1.22638 | 0.613191 | − | 0.789934i | \(-0.289885\pi\) | ||||
0.613191 | + | 0.789934i | \(0.289885\pi\) | |||||||
\(24\) | −0.686833 | + | 2.56329i | −0.140199 | + | 0.523230i | ||||
\(25\) | 1.83122 | − | 4.65260i | 0.366243 | − | 0.930519i | ||||
\(26\) | −4.75902 | −0.933320 | ||||||||
\(27\) | −1.95568 | + | 1.95568i | −0.376372 | + | 0.376372i | ||||
\(28\) | −1.95638 | + | 0.524210i | −0.369721 | + | 0.0990664i | ||||
\(29\) | 2.37706 | + | 2.37706i | 0.441408 | + | 0.441408i | 0.892485 | − | 0.451077i | \(-0.148960\pi\) |
−0.451077 | + | 0.892485i | \(0.648960\pi\) | |||||||
\(30\) | 5.82991 | + | 1.10601i | 1.06439 | + | 0.201928i | ||||
\(31\) | −3.83799 | + | 3.83799i | −0.689323 | + | 0.689323i | −0.962082 | − | 0.272759i | \(-0.912064\pi\) |
0.272759 | + | 0.962082i | \(0.412064\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.88071 | + | 0.771884i | 0.501467 | + | 0.134368i | ||||
\(34\) | 0.528152 | − | 0.304929i | 0.0905774 | − | 0.0522949i | ||||
\(35\) | 1.49373 | + | 4.27549i | 0.252487 | + | 0.722690i | ||||
\(36\) | 4.04222i | 0.673703i | ||||||||
\(37\) | 4.85045 | − | 3.67057i | 0.797410 | − | 0.603438i | ||||
\(38\) | −0.708852 | + | 0.708852i | −0.114991 | + | 0.114991i | ||||
\(39\) | −12.1988 | + | 3.26865i | −1.95337 | + | 0.523403i | ||||
\(40\) | 1.84814 | − | 1.25873i | 0.292216 | − | 0.199022i | ||||
\(41\) | 7.57396 | − | 4.37283i | 1.18285 | − | 0.682921i | 0.226181 | − | 0.974085i | \(-0.427376\pi\) |
0.956673 | + | 0.291164i | \(0.0940425\pi\) | |||||||
\(42\) | −4.65473 | + | 2.68741i | −0.718240 | + | 0.414676i | ||||
\(43\) | −2.52967 | −0.385771 | −0.192885 | − | 0.981221i | \(-0.561785\pi\) | ||||
−0.192885 | + | 0.981221i | \(0.561785\pi\) | |||||||
\(44\) | 0.973266 | − | 0.561916i | 0.146725 | − | 0.0847120i | ||||
\(45\) | 9.01373 | − | 0.671093i | 1.34369 | − | 0.100041i | ||||
\(46\) | 2.94076 | − | 5.09355i | 0.433592 | − | 0.751003i | ||||
\(47\) | 4.16660 | + | 4.16660i | 0.607762 | + | 0.607762i | 0.942361 | − | 0.334599i | \(-0.108601\pi\) |
−0.334599 | + | 0.942361i | \(0.608601\pi\) | |||||||
\(48\) | 1.87646 | + | 1.87646i | 0.270844 | + | 0.270844i | ||||
\(49\) | 2.50956 | + | 1.44889i | 0.358508 | + | 0.206985i | ||||
\(50\) | −3.11366 | − | 3.91218i | −0.440338 | − | 0.553265i | ||||
\(51\) | 1.14437 | − | 1.14437i | 0.160245 | − | 0.160245i | ||||
\(52\) | −2.37951 | + | 4.12143i | −0.329979 | + | 0.571540i | ||||
\(53\) | −0.917679 | − | 3.42482i | −0.126053 | − | 0.470436i | 0.873822 | − | 0.486246i | \(-0.161634\pi\) |
−0.999875 | + | 0.0158099i | \(0.994967\pi\) | |||||||
\(54\) | 0.715830 | + | 2.67152i | 0.0974122 | + | 0.363547i | ||||
\(55\) | −1.41460 | − | 2.07699i | −0.190744 | − | 0.280062i | ||||
\(56\) | −0.524210 | + | 1.95638i | −0.0700505 | + | 0.261432i | ||||
\(57\) | −1.33013 | + | 2.30386i | −0.176180 | + | 0.305153i | ||||
\(58\) | 3.24712 | − | 0.870063i | 0.426368 | − | 0.114245i | ||||
\(59\) | −1.81426 | − | 6.77090i | −0.236196 | − | 0.881496i | −0.977606 | − | 0.210443i | \(-0.932509\pi\) |
0.741410 | − | 0.671052i | \(-0.234157\pi\) | |||||||
\(60\) | 3.87278 | − | 4.49585i | 0.499974 | − | 0.580411i | ||||
\(61\) | −13.4578 | − | 3.60599i | −1.72309 | − | 0.461700i | −0.744516 | − | 0.667604i | \(-0.767320\pi\) |
−0.978572 | + | 0.205904i | \(0.933987\pi\) | |||||||
\(62\) | 1.40480 | + | 5.24279i | 0.178410 | + | 0.665835i | ||||
\(63\) | −5.78914 | + | 5.78914i | −0.729363 | + | 0.729363i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 9.58541 | + | 4.62181i | 1.18892 | + | 0.573266i | ||||
\(66\) | 2.10883 | − | 2.10883i | 0.259579 | − | 0.259579i | ||||
\(67\) | 14.0161 | + | 3.75560i | 1.71234 | + | 0.458820i | 0.975996 | − | 0.217789i | \(-0.0698845\pi\) |
0.736343 | + | 0.676609i | \(0.236551\pi\) | |||||||
\(68\) | − | 0.609858i | − | 0.0739561i | ||||||
\(69\) | 4.03962 | − | 15.0761i | 0.486314 | − | 1.81495i | ||||
\(70\) | 4.44955 | + | 0.844134i | 0.531823 | + | 0.100893i | ||||
\(71\) | −3.54588 | − | 6.14164i | −0.420818 | − | 0.728878i | 0.575202 | − | 0.818012i | \(-0.304924\pi\) |
−0.996020 | + | 0.0891333i | \(0.971590\pi\) | |||||||
\(72\) | 3.50066 | + | 2.02111i | 0.412557 | + | 0.238190i | ||||
\(73\) | −8.20562 | − | 8.20562i | −0.960395 | − | 0.960395i | 0.0388501 | − | 0.999245i | \(-0.487631\pi\) |
−0.999245 | + | 0.0388501i | \(0.987631\pi\) | |||||||
\(74\) | −0.753581 | − | 6.03590i | −0.0876020 | − | 0.701659i | ||||
\(75\) | −10.6682 | − | 7.88950i | −1.23186 | − | 0.911001i | ||||
\(76\) | 0.259458 | + | 0.968309i | 0.0297618 | + | 0.111073i | ||||
\(77\) | 2.19864 | + | 0.589123i | 0.250558 | + | 0.0671368i | ||||
\(78\) | −3.26865 | + | 12.1988i | −0.370102 | + | 1.38124i | ||||
\(79\) | 4.51070 | + | 1.20864i | 0.507493 | + | 0.135982i | 0.503476 | − | 0.864009i | \(-0.332054\pi\) |
0.00401787 | + | 0.999992i | \(0.498721\pi\) | |||||||
\(80\) | −0.166021 | − | 2.22990i | −0.0185617 | − | 0.249310i | ||||
\(81\) | −2.39356 | − | 4.14577i | −0.265951 | − | 0.460641i | ||||
\(82\) | − | 8.74566i | − | 0.965797i | ||||||
\(83\) | −0.924178 | − | 3.44908i | −0.101442 | − | 0.378586i | 0.896475 | − | 0.443093i | \(-0.146119\pi\) |
−0.997917 | + | 0.0645076i | \(0.979452\pi\) | |||||||
\(84\) | 5.37482i | 0.586441i | ||||||||
\(85\) | −1.35992 | + | 0.101249i | −0.147504 | + | 0.0109820i | ||||
\(86\) | −1.26483 | + | 2.19076i | −0.136391 | + | 0.236235i | ||||
\(87\) | 7.72573 | − | 4.46045i | 0.828286 | − | 0.478211i | ||||
\(88\) | − | 1.12383i | − | 0.119801i | ||||||
\(89\) | 13.2615 | − | 3.55341i | 1.40572 | − | 0.376661i | 0.525322 | − | 0.850903i | \(-0.323945\pi\) |
0.880394 | + | 0.474243i | \(0.157278\pi\) | |||||||
\(90\) | 3.92568 | − | 8.14167i | 0.413803 | − | 0.858207i | ||||
\(91\) | −9.31044 | + | 2.49472i | −0.975999 | + | 0.261518i | ||||
\(92\) | −2.94076 | − | 5.09355i | −0.306596 | − | 0.531039i | ||||
\(93\) | 7.20184 | + | 12.4740i | 0.746796 | + | 1.29349i | ||||
\(94\) | 5.69169 | − | 1.52508i | 0.587053 | − | 0.157300i | ||||
\(95\) | 2.11615 | − | 0.739323i | 0.217113 | − | 0.0758530i | ||||
\(96\) | 2.56329 | − | 0.686833i | 0.261615 | − | 0.0700996i | ||||
\(97\) | 10.8045i | 1.09703i | 0.836142 | + | 0.548513i | \(0.184806\pi\) | ||||
−0.836142 | + | 0.548513i | \(0.815194\pi\) | |||||||
\(98\) | 2.50956 | − | 1.44889i | 0.253504 | − | 0.146360i | ||||
\(99\) | 2.27139 | − | 3.93416i | 0.228283 | − | 0.395398i | ||||
\(100\) | −4.94487 | + | 0.740419i | −0.494487 | + | 0.0740419i | ||||
\(101\) | 13.7754i | 1.37071i | 0.728210 | + | 0.685354i | \(0.240352\pi\) | ||||
−0.728210 | + | 0.685354i | \(0.759648\pi\) | |||||||
\(102\) | −0.418870 | − | 1.56324i | −0.0414743 | − | 0.154784i | ||||
\(103\) | 18.0233i | 1.77589i | 0.459953 | + | 0.887943i | \(0.347866\pi\) | ||||
−0.459953 | + | 0.887943i | \(0.652134\pi\) | |||||||
\(104\) | 2.37951 | + | 4.12143i | 0.233330 | + | 0.404140i | ||||
\(105\) | 11.9853 | − | 0.892332i | 1.16964 | − | 0.0870827i | ||||
\(106\) | −3.42482 | − | 0.917679i | −0.332648 | − | 0.0891329i | ||||
\(107\) | −0.739316 | + | 2.75917i | −0.0714724 | + | 0.266739i | −0.992410 | − | 0.122971i | \(-0.960758\pi\) |
0.920938 | + | 0.389709i | \(0.127425\pi\) | |||||||
\(108\) | 2.67152 | + | 0.715830i | 0.257067 | + | 0.0688808i | ||||
\(109\) | 4.32210 | + | 16.1303i | 0.413982 | + | 1.54500i | 0.786866 | + | 0.617124i | \(0.211702\pi\) |
−0.372884 | + | 0.927878i | \(0.621631\pi\) | |||||||
\(110\) | −2.50603 | + | 0.186579i | −0.238940 | + | 0.0177897i | ||||
\(111\) | −6.07731 | − | 14.9542i | −0.576832 | − | 1.41939i | ||||
\(112\) | 1.43217 | + | 1.43217i | 0.135327 | + | 0.135327i | ||||
\(113\) | −4.26128 | − | 2.46025i | −0.400868 | − | 0.231441i | 0.285991 | − | 0.958232i | \(-0.407677\pi\) |
−0.686858 | + | 0.726791i | \(0.741011\pi\) | |||||||
\(114\) | 1.33013 | + | 2.30386i | 0.124578 | + | 0.215776i | ||||
\(115\) | −10.8699 | + | 7.40323i | −1.01362 | + | 0.690355i | ||||
\(116\) | 0.870063 | − | 3.24712i | 0.0807833 | − | 0.301487i | ||||
\(117\) | 19.2370i | 1.77846i | ||||||||
\(118\) | −6.77090 | − | 1.81426i | −0.623312 | − | 0.167016i | ||||
\(119\) | 0.873419 | − | 0.873419i | 0.0800662 | − | 0.0800662i | ||||
\(120\) | −1.95713 | − | 5.60185i | −0.178660 | − | 0.511377i | ||||
\(121\) | 9.73700 | 0.885182 | ||||||||
\(122\) | −9.85176 | + | 9.85176i | −0.891936 | + | 0.891936i | ||||
\(123\) | −6.00681 | − | 22.4177i | −0.541615 | − | 2.02134i | ||||
\(124\) | 5.24279 | + | 1.40480i | 0.470817 | + | 0.126155i | ||||
\(125\) | 2.47201 | + | 10.9036i | 0.221103 | + | 0.975250i | ||||
\(126\) | 2.11897 | + | 7.90811i | 0.188773 | + | 0.704510i | ||||
\(127\) | −6.90268 | + | 1.84957i | −0.612514 | + | 0.164123i | −0.551722 | − | 0.834028i | \(-0.686029\pi\) |
−0.0607917 | + | 0.998150i | \(0.519363\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −1.73746 | + | 6.48429i | −0.152975 | + | 0.570910i | ||||
\(130\) | 8.79531 | − | 5.99030i | 0.771400 | − | 0.525384i | ||||
\(131\) | 5.25720 | + | 19.6201i | 0.459324 | + | 1.71422i | 0.675056 | + | 0.737767i | \(0.264120\pi\) |
−0.215732 | + | 0.976453i | \(0.569214\pi\) | |||||||
\(132\) | −0.771884 | − | 2.88071i | −0.0671839 | − | 0.250734i | ||||
\(133\) | −1.01519 | + | 1.75837i | −0.0880285 | + | 0.152470i | ||||
\(134\) | 10.2605 | − | 10.2605i | 0.886372 | − | 0.886372i | ||||
\(135\) | 1.15270 | − | 6.07604i | 0.0992086 | − | 0.522943i | ||||
\(136\) | −0.528152 | − | 0.304929i | −0.0452887 | − | 0.0261474i | ||||
\(137\) | 4.18991 | + | 4.18991i | 0.357968 | + | 0.357968i | 0.863064 | − | 0.505095i | \(-0.168543\pi\) |
−0.505095 | + | 0.863064i | \(0.668543\pi\) | |||||||
\(138\) | −11.0365 | − | 11.0365i | −0.939486 | − | 0.939486i | ||||
\(139\) | 5.56954 | − | 9.64673i | 0.472402 | − | 0.818225i | −0.527099 | − | 0.849804i | \(-0.676720\pi\) |
0.999501 | + | 0.0315791i | \(0.0100536\pi\) | |||||||
\(140\) | 2.95582 | − | 3.43136i | 0.249812 | − | 0.290003i | ||||
\(141\) | 13.5420 | − | 7.81847i | 1.14044 | − | 0.658434i | ||||
\(142\) | −7.09175 | −0.595127 | ||||||||
\(143\) | 4.63179 | − | 2.67417i | 0.387330 | − | 0.223625i | ||||
\(144\) | 3.50066 | − | 2.02111i | 0.291722 | − | 0.168426i | ||||
\(145\) | −7.38519 | − | 1.40106i | −0.613306 | − | 0.116352i | ||||
\(146\) | −11.2091 | + | 3.00346i | −0.927670 | + | 0.248569i | ||||
\(147\) | 5.43759 | − | 5.43759i | 0.448485 | − | 0.448485i | ||||
\(148\) | −5.60404 | − | 2.36533i | −0.460649 | − | 0.194429i | ||||
\(149\) | − | 1.58834i | − | 0.130122i | −0.997881 | − | 0.0650611i | \(-0.979276\pi\) | ||
0.997881 | − | 0.0650611i | \(-0.0207242\pi\) | |||||||
\(150\) | −12.1666 | + | 5.29421i | −0.993401 | + | 0.432271i | ||||
\(151\) | −10.3991 | + | 6.00392i | −0.846266 | + | 0.488592i | −0.859389 | − | 0.511322i | \(-0.829156\pi\) |
0.0131234 | + | 0.999914i | \(0.495823\pi\) | |||||||
\(152\) | 0.968309 | + | 0.259458i | 0.0785403 | + | 0.0210448i | ||||
\(153\) | −1.23259 | − | 2.13491i | −0.0996489 | − | 0.172597i | ||||
\(154\) | 1.60952 | − | 1.60952i | 0.129698 | − | 0.129698i | ||||
\(155\) | 2.26215 | − | 11.9241i | 0.181700 | − | 0.957767i | ||||
\(156\) | 8.93012 | + | 8.93012i | 0.714982 | + | 0.714982i | ||||
\(157\) | −7.06880 | + | 1.89408i | −0.564152 | + | 0.151164i | −0.529613 | − | 0.848239i | \(-0.677663\pi\) |
−0.0345386 | + | 0.999403i | \(0.510996\pi\) | |||||||
\(158\) | 3.30206 | − | 3.30206i | 0.262698 | − | 0.262698i | ||||
\(159\) | −9.40913 | −0.746192 | ||||||||
\(160\) | −2.01416 | − | 0.971170i | −0.159233 | − | 0.0767777i | ||||
\(161\) | 3.08315 | − | 11.5065i | 0.242986 | − | 0.906838i | ||||
\(162\) | −4.78712 | −0.376112 | ||||||||
\(163\) | 3.61734 | + | 2.08847i | 0.283332 | + | 0.163582i | 0.634931 | − | 0.772569i | \(-0.281029\pi\) |
−0.351599 | + | 0.936151i | \(0.614362\pi\) | |||||||
\(164\) | −7.57396 | − | 4.37283i | −0.591427 | − | 0.341461i | ||||
\(165\) | −6.29554 | + | 2.19948i | −0.490107 | + | 0.171229i | ||||
\(166\) | −3.44908 | − | 0.924178i | −0.267701 | − | 0.0717301i | ||||
\(167\) | −4.69835 | + | 2.71259i | −0.363569 | + | 0.209907i | −0.670645 | − | 0.741778i | \(-0.733983\pi\) |
0.307076 | + | 0.951685i | \(0.400649\pi\) | |||||||
\(168\) | 4.65473 | + | 2.68741i | 0.359120 | + | 0.207338i | ||||
\(169\) | −4.82413 | + | 8.35563i | −0.371087 | + | 0.642741i | ||||
\(170\) | −0.592275 | + | 1.22835i | −0.0454254 | + | 0.0942101i | ||||
\(171\) | 2.86533 | + | 2.86533i | 0.219118 | + | 0.219118i | ||||
\(172\) | 1.26483 | + | 2.19076i | 0.0964427 | + | 0.167044i | ||||
\(173\) | −3.85906 | + | 1.03403i | −0.293399 | + | 0.0786159i | −0.402516 | − | 0.915413i | \(-0.631864\pi\) |
0.109117 | + | 0.994029i | \(0.465198\pi\) | |||||||
\(174\) | − | 8.92091i | − | 0.676292i | ||||||
\(175\) | −8.14229 | − | 6.02149i | −0.615500 | − | 0.455182i | ||||
\(176\) | −0.973266 | − | 0.561916i | −0.0733627 | − | 0.0423560i | ||||
\(177\) | −18.6019 | −1.39820 | ||||||||
\(178\) | 3.55341 | − | 13.2615i | 0.266339 | − | 0.993992i | ||||
\(179\) | −14.1223 | − | 14.1223i | −1.05555 | − | 1.05555i | −0.998363 | − | 0.0571889i | \(-0.981786\pi\) |
−0.0571889 | − | 0.998363i | \(-0.518214\pi\) | |||||||
\(180\) | −5.08805 | − | 7.47057i | −0.379241 | − | 0.556824i | ||||
\(181\) | −5.83408 | − | 10.1049i | −0.433644 | − | 0.751093i | 0.563540 | − | 0.826089i | \(-0.309439\pi\) |
−0.997184 | + | 0.0749959i | \(0.976106\pi\) | |||||||
\(182\) | −2.49472 | + | 9.31044i | −0.184921 | + | 0.690136i | ||||
\(183\) | −18.4865 | + | 32.0195i | −1.36656 | + | 2.36695i | ||||
\(184\) | −5.88152 | −0.433592 | ||||||||
\(185\) | −4.34406 | + | 12.8891i | −0.319381 | + | 0.947626i | ||||
\(186\) | 14.4037 | 1.05613 | ||||||||
\(187\) | −0.342689 | + | 0.593554i | −0.0250599 | + | 0.0434050i | ||||
\(188\) | 1.52508 | − | 5.69169i | 0.111228 | − | 0.415109i | ||||
\(189\) | 2.80087 | + | 4.85125i | 0.203733 | + | 0.352876i | ||||
\(190\) | 0.417804 | − | 2.20230i | 0.0303107 | − | 0.159772i | ||||
\(191\) | 13.5165 | + | 13.5165i | 0.978021 | + | 0.978021i | 0.999764 | − | 0.0217424i | \(-0.00692136\pi\) |
−0.0217424 | + | 0.999764i | \(0.506921\pi\) | |||||||
\(192\) | 0.686833 | − | 2.56329i | 0.0495679 | − | 0.184990i | ||||
\(193\) | 12.8185 | 0.922693 | 0.461347 | − | 0.887220i | \(-0.347366\pi\) | ||||
0.461347 | + | 0.887220i | \(0.347366\pi\) | |||||||
\(194\) | 9.35694 | + | 5.40223i | 0.671789 | + | 0.387858i | ||||
\(195\) | 18.4306 | − | 21.3958i | 1.31985 | − | 1.53219i | ||||
\(196\) | − | 2.89779i | − | 0.206985i | ||||||
\(197\) | −0.822836 | + | 0.220478i | −0.0586246 | + | 0.0157084i | −0.288012 | − | 0.957627i | \(-0.592994\pi\) |
0.229388 | + | 0.973335i | \(0.426328\pi\) | |||||||
\(198\) | −2.27139 | − | 3.93416i | −0.161420 | − | 0.279588i | ||||
\(199\) | −11.2815 | − | 11.2815i | −0.799726 | − | 0.799726i | 0.183326 | − | 0.983052i | \(-0.441314\pi\) |
−0.983052 | + | 0.183326i | \(0.941314\pi\) | |||||||
\(200\) | −1.83122 | + | 4.65260i | −0.129486 | + | 0.328988i | ||||
\(201\) | 19.2534 | − | 33.3479i | 1.35803 | − | 2.35218i | ||||
\(202\) | 11.9299 | + | 6.88772i | 0.839384 | + | 0.484618i | ||||
\(203\) | 5.89650 | − | 3.40434i | 0.413853 | − | 0.238938i | ||||
\(204\) | −1.56324 | − | 0.418870i | −0.109449 | − | 0.0293268i | ||||
\(205\) | −8.49352 | + | 17.6151i | −0.593213 | + | 1.23029i | ||||
\(206\) | 15.6086 | + | 9.01164i | 1.08750 | + | 0.627871i | ||||
\(207\) | −20.5892 | − | 11.8872i | −1.43105 | − | 0.826218i | ||||
\(208\) | 4.75902 | 0.329979 | ||||||||
\(209\) | 0.291587 | − | 1.08822i | 0.0201695 | − | 0.0752735i | ||||
\(210\) | 5.21986 | − | 10.8257i | 0.360205 | − | 0.747046i | ||||
\(211\) | −8.38969 | −0.577570 | −0.288785 | − | 0.957394i | \(-0.593251\pi\) | ||||
−0.288785 | + | 0.957394i | \(0.593251\pi\) | |||||||
\(212\) | −2.50715 | + | 2.50715i | −0.172191 | + | 0.172191i | ||||
\(213\) | −18.1783 | + | 4.87085i | −1.24555 | + | 0.333745i | ||||
\(214\) | 2.01985 | + | 2.01985i | 0.138074 | + | 0.138074i | ||||
\(215\) | 4.67517 | − | 3.18416i | 0.318844 | − | 0.217158i | ||||
\(216\) | 1.95568 | − | 1.95568i | 0.133067 | − | 0.133067i | ||||
\(217\) | 5.49665 | + | 9.52047i | 0.373137 | + | 0.646292i | ||||
\(218\) | 16.1303 | + | 4.32210i | 1.09248 | + | 0.292729i | ||||
\(219\) | −26.6693 | + | 15.3975i | −1.80214 | + | 1.04047i | ||||
\(220\) | −1.09143 | + | 2.26357i | −0.0735843 | + | 0.152610i | ||||
\(221\) | − | 2.90232i | − | 0.195231i | ||||||
\(222\) | −15.9894 | − | 2.21401i | −1.07314 | − | 0.148594i | ||||
\(223\) | 12.2726 | − | 12.2726i | 0.821834 | − | 0.821834i | −0.164537 | − | 0.986371i | \(-0.552613\pi\) |
0.986371 | + | 0.164537i | \(0.0526130\pi\) | |||||||
\(224\) | 1.95638 | − | 0.524210i | 0.130716 | − | 0.0350252i | ||||
\(225\) | −15.8139 | + | 12.5861i | −1.05426 | + | 0.839073i | ||||
\(226\) | −4.26128 | + | 2.46025i | −0.283456 | + | 0.163653i | ||||
\(227\) | 7.24577 | − | 4.18335i | 0.480919 | − | 0.277659i | −0.239881 | − | 0.970802i | \(-0.577108\pi\) |
0.720799 | + | 0.693144i | \(0.243775\pi\) | |||||||
\(228\) | 2.66027 | 0.176180 | ||||||||
\(229\) | 1.15819 | − | 0.668684i | 0.0765356 | − | 0.0441879i | −0.461244 | − | 0.887273i | \(-0.652597\pi\) |
0.537779 | + | 0.843086i | \(0.319263\pi\) | |||||||
\(230\) | 0.976456 | + | 13.1152i | 0.0643856 | + | 0.864790i | ||||
\(231\) | 3.02019 | − | 5.23113i | 0.198714 | − | 0.344183i | ||||
\(232\) | −2.37706 | − | 2.37706i | −0.156061 | − | 0.156061i | ||||
\(233\) | 1.84053 | + | 1.84053i | 0.120577 | + | 0.120577i | 0.764821 | − | 0.644243i | \(-0.222828\pi\) |
−0.644243 | + | 0.764821i | \(0.722828\pi\) | |||||||
\(234\) | 16.6597 | + | 9.61850i | 1.08908 | + | 0.628781i | ||||
\(235\) | −12.9451 | − | 2.45584i | −0.844443 | − | 0.160201i | ||||
\(236\) | −4.95664 | + | 4.95664i | −0.322650 | + | 0.322650i | ||||
\(237\) | 6.19619 | − | 10.7321i | 0.402486 | − | 0.697126i | ||||
\(238\) | −0.319693 | − | 1.19311i | −0.0207226 | − | 0.0773380i | ||||
\(239\) | 5.49007 | + | 20.4892i | 0.355123 | + | 1.32534i | 0.880329 | + | 0.474363i | \(0.157322\pi\) |
−0.525206 | + | 0.850975i | \(0.676012\pi\) | |||||||
\(240\) | −5.82991 | − | 1.10601i | −0.376319 | − | 0.0713923i | ||||
\(241\) | 2.12638 | − | 7.93574i | 0.136972 | − | 0.511186i | −0.863010 | − | 0.505187i | \(-0.831424\pi\) |
0.999982 | − | 0.00599947i | \(-0.00190970\pi\) | |||||||
\(242\) | 4.86850 | − | 8.43249i | 0.312959 | − | 0.542061i | ||||
\(243\) | −20.2853 | + | 5.43544i | −1.30131 | + | 0.348684i | ||||
\(244\) | 3.60599 | + | 13.4578i | 0.230850 | + | 0.861544i | ||||
\(245\) | −6.46177 | + | 0.481094i | −0.412827 | + | 0.0307360i | ||||
\(246\) | −22.4177 | − | 6.00681i | −1.42930 | − | 0.382980i | ||||
\(247\) | 1.23476 | + | 4.60820i | 0.0785661 | + | 0.293213i | ||||
\(248\) | 3.83799 | − | 3.83799i | 0.243713 | − | 0.243713i | ||||
\(249\) | −9.47577 | −0.600502 | ||||||||
\(250\) | 10.6788 | + | 3.31099i | 0.675388 | + | 0.209406i | ||||
\(251\) | −13.6105 | + | 13.6105i | −0.859084 | + | 0.859084i | −0.991230 | − | 0.132146i | \(-0.957813\pi\) |
0.132146 | + | 0.991230i | \(0.457813\pi\) | |||||||
\(252\) | 7.90811 | + | 2.11897i | 0.498164 | + | 0.133483i | ||||
\(253\) | 6.60984i | 0.415557i | ||||||||
\(254\) | −1.84957 | + | 6.90268i | −0.116052 | + | 0.433113i | ||||
\(255\) | −0.674506 | + | 3.55542i | −0.0422392 | + | 0.222649i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −6.00922 | − | 3.46942i | −0.374845 | − | 0.216417i | 0.300728 | − | 0.953710i | \(-0.402770\pi\) |
−0.675573 | + | 0.737293i | \(0.736104\pi\) | |||||||
\(258\) | 4.74683 | + | 4.74683i | 0.295525 | + | 0.295525i | ||||
\(259\) | −4.63837 | − | 11.4135i | −0.288214 | − | 0.709199i | ||||
\(260\) | −0.790097 | − | 10.6121i | −0.0489997 | − | 0.658136i | ||||
\(261\) | −3.51698 | − | 13.1256i | −0.217696 | − | 0.812452i | ||||
\(262\) | 19.6201 | + | 5.25720i | 1.21214 | + | 0.324791i | ||||
\(263\) | −8.10871 | + | 30.2621i | −0.500005 | + | 1.86604i | −3.36436e−5 | 1.00000i | \(0.500011\pi\) | |
−0.499971 | + | 0.866042i | \(0.666656\pi\) | |||||||
\(264\) | −2.88071 | − | 0.771884i | −0.177295 | − | 0.0475062i | ||||
\(265\) | 6.00691 | + | 5.17444i | 0.369002 | + | 0.317863i | ||||
\(266\) | 1.01519 | + | 1.75837i | 0.0622456 | + | 0.107812i | ||||
\(267\) | − | 36.4337i | − | 2.22971i | ||||||
\(268\) | −3.75560 | − | 14.0161i | −0.229410 | − | 0.856169i | ||||
\(269\) | 17.3508i | 1.05789i | 0.848655 | + | 0.528947i | \(0.177413\pi\) | ||||
−0.848655 | + | 0.528947i | \(0.822587\pi\) | |||||||
\(270\) | −4.68566 | − | 4.03629i | −0.285160 | − | 0.245641i | ||||
\(271\) | −8.45565 | + | 14.6456i | −0.513644 | + | 0.889658i | 0.486231 | + | 0.873830i | \(0.338371\pi\) |
−0.999875 | + | 0.0158271i | \(0.994962\pi\) | |||||||
\(272\) | −0.528152 | + | 0.304929i | −0.0320239 | + | 0.0184890i | ||||
\(273\) | 25.5789i | 1.54810i | ||||||||
\(274\) | 5.72353 | − | 1.53361i | 0.345771 | − | 0.0926490i | ||||
\(275\) | 5.22873 | + | 2.05798i | 0.315304 | + | 0.124101i | ||||
\(276\) | −15.0761 | + | 4.03962i | −0.907473 | + | 0.243157i | ||||
\(277\) | −11.9817 | − | 20.7529i | −0.719912 | − | 1.24692i | −0.961034 | − | 0.276429i | \(-0.910849\pi\) |
0.241122 | − | 0.970495i | \(-0.422484\pi\) | |||||||
\(278\) | −5.56954 | − | 9.64673i | −0.334039 | − | 0.578572i | ||||
\(279\) | 21.1925 | − | 5.67852i | 1.26876 | − | 0.339964i | ||||
\(280\) | −1.49373 | − | 4.27549i | −0.0892676 | − | 0.255509i | ||||
\(281\) | 23.0722 | − | 6.18218i | 1.37637 | − | 0.368798i | 0.506571 | − | 0.862198i | \(-0.330913\pi\) |
0.869802 | + | 0.493400i | \(0.164246\pi\) | |||||||
\(282\) | − | 15.6369i | − | 0.931167i | ||||||
\(283\) | −4.68580 | + | 2.70535i | −0.278542 | + | 0.160816i | −0.632763 | − | 0.774345i | \(-0.718079\pi\) |
0.354221 | + | 0.935162i | \(0.384746\pi\) | |||||||
\(284\) | −3.54588 | + | 6.14164i | −0.210409 | + | 0.364439i | ||||
\(285\) | −0.441660 | − | 5.93212i | −0.0261617 | − | 0.351388i | ||||
\(286\) | − | 5.34833i | − | 0.316254i | ||||||
\(287\) | −4.58456 | − | 17.1098i | −0.270618 | − | 1.00996i | ||||
\(288\) | − | 4.04222i | − | 0.238190i | ||||||
\(289\) | −8.31404 | − | 14.4003i | −0.489061 | − | 0.847078i | ||||
\(290\) | −4.90595 | + | 5.69523i | −0.288087 | + | 0.334435i | ||||
\(291\) | 27.6950 | + | 7.42086i | 1.62351 | + | 0.435018i | ||||
\(292\) | −3.00346 | + | 11.2091i | −0.175764 | + | 0.655962i | ||||
\(293\) | 4.01883 | + | 1.07684i | 0.234783 | + | 0.0629098i | 0.374292 | − | 0.927311i | \(-0.377886\pi\) |
−0.139509 | + | 0.990221i | \(0.544552\pi\) | |||||||
\(294\) | −1.99030 | − | 7.42789i | −0.116076 | − | 0.433203i | ||||
\(295\) | 11.8757 | + | 10.2299i | 0.691430 | + | 0.595607i | ||||
\(296\) | −4.85045 | + | 3.67057i | −0.281927 | + | 0.213348i | ||||
\(297\) | −2.19786 | − | 2.19786i | −0.127533 | − | 0.127533i | ||||
\(298\) | −1.37555 | − | 0.794171i | −0.0796832 | − | 0.0460051i | ||||
\(299\) | −13.9951 | − | 24.2403i | −0.809360 | − | 1.40185i | ||||
\(300\) | −1.49839 | + | 13.1837i | −0.0865096 | + | 0.761162i | ||||
\(301\) | −1.32608 | + | 4.94899i | −0.0764338 | + | 0.285255i | ||||
\(302\) | 12.0078i | 0.690973i | ||||||||
\(303\) | 35.3105 | + | 9.46143i | 2.02854 | + | 0.543545i | ||||
\(304\) | 0.708852 | − | 0.708852i | 0.0406554 | − | 0.0406554i | ||||
\(305\) | 29.4107 | − | 10.2753i | 1.68405 | − | 0.588360i | ||||
\(306\) | −2.46518 | −0.140925 | ||||||||
\(307\) | 19.1402 | − | 19.1402i | 1.09239 | − | 1.09239i | 0.0971133 | − | 0.995273i | \(-0.469039\pi\) |
0.995273 | − | 0.0971133i | \(-0.0309609\pi\) | |||||||
\(308\) | −0.589123 | − | 2.19864i | −0.0335684 | − | 0.125279i | ||||
\(309\) | 46.1990 | + | 12.3790i | 2.62817 | + | 0.704215i | ||||
\(310\) | −9.19551 | − | 7.92113i | −0.522270 | − | 0.449890i | ||||
\(311\) | −1.52724 | − | 5.69972i | −0.0866016 | − | 0.323202i | 0.909011 | − | 0.416772i | \(-0.136839\pi\) |
−0.995613 | + | 0.0935704i | \(0.970172\pi\) | |||||||
\(312\) | 12.1988 | − | 3.26865i | 0.690619 | − | 0.185051i | ||||
\(313\) | 14.8031 | − | 25.6397i | 0.836719 | − | 1.44924i | −0.0559040 | − | 0.998436i | \(-0.517804\pi\) |
0.892623 | − | 0.450804i | \(-0.148863\pi\) | |||||||
\(314\) | −1.89408 | + | 7.06880i | −0.106889 | + | 0.398915i | ||||
\(315\) | 3.41217 | − | 17.9861i | 0.192254 | − | 1.01340i | ||||
\(316\) | −1.20864 | − | 4.51070i | −0.0679912 | − | 0.253747i | ||||
\(317\) | 2.55646 | + | 9.54085i | 0.143585 | + | 0.535868i | 0.999814 | + | 0.0192712i | \(0.00613459\pi\) |
−0.856229 | + | 0.516596i | \(0.827199\pi\) | |||||||
\(318\) | −4.70456 | + | 8.14854i | −0.263819 | + | 0.456948i | ||||
\(319\) | −2.67141 | + | 2.67141i | −0.149570 | + | 0.149570i | ||||
\(320\) | −1.84814 | + | 1.25873i | −0.103314 | + | 0.0703649i | ||||
\(321\) | 6.56477 | + | 3.79017i | 0.366410 | + | 0.211547i | ||||
\(322\) | −8.42333 | − | 8.42333i | −0.469414 | − | 0.469414i | ||||
\(323\) | −0.432299 | − | 0.432299i | −0.0240537 | − | 0.0240537i | ||||
\(324\) | −2.39356 | + | 4.14577i | −0.132976 | + | 0.230320i | ||||
\(325\) | −23.5327 | + | 3.52367i | −1.30536 | + | 0.195458i | ||||
\(326\) | 3.61734 | − | 2.08847i | 0.200346 | − | 0.115670i | ||||
\(327\) | 44.3152 | 2.45064 | ||||||||
\(328\) | −7.57396 | + | 4.37283i | −0.418202 | + | 0.241449i | ||||
\(329\) | 10.3356 | − | 5.96728i | 0.569822 | − | 0.328987i | ||||
\(330\) | −1.24296 | + | 6.55183i | −0.0684229 | + | 0.360667i | ||||
\(331\) | −5.18854 | + | 1.39026i | −0.285188 | + | 0.0764159i | −0.398577 | − | 0.917135i | \(-0.630496\pi\) |
0.113389 | + | 0.993551i | \(0.463829\pi\) | |||||||
\(332\) | −2.52490 | + | 2.52490i | −0.138572 | + | 0.138572i | ||||
\(333\) | −24.3984 | + | 3.04614i | −1.33703 | + | 0.166927i | ||||
\(334\) | 5.42518i | 0.296853i | ||||||||
\(335\) | −30.6309 | + | 10.7016i | −1.67355 | + | 0.584689i | ||||
\(336\) | 4.65473 | − | 2.68741i | 0.253936 | − | 0.146610i | ||||
\(337\) | 24.0356 | + | 6.44031i | 1.30930 | + | 0.350826i | 0.844959 | − | 0.534831i | \(-0.179625\pi\) |
0.464341 | + | 0.885657i | \(0.346291\pi\) | |||||||
\(338\) | 4.82413 | + | 8.35563i | 0.262398 | + | 0.454486i | ||||
\(339\) | −9.23314 | + | 9.23314i | −0.501475 | + | 0.501475i | ||||
\(340\) | 0.767644 | + | 1.12710i | 0.0416313 | + | 0.0611256i | ||||
\(341\) | −4.31325 | − | 4.31325i | −0.233576 | − | 0.233576i | ||||
\(342\) | 3.91412 | − | 1.04878i | 0.211651 | − | 0.0567118i | ||||
\(343\) | 14.1753 | − | 14.1753i | 0.765394 | − | 0.765394i | ||||
\(344\) | 2.52967 | 0.136391 | ||||||||
\(345\) | 11.5109 | + | 32.9474i | 0.619725 | + | 1.77383i | ||||
\(346\) | −1.03403 | + | 3.85906i | −0.0555898 | + | 0.207464i | ||||
\(347\) | −24.0293 | −1.28996 | −0.644981 | − | 0.764198i | \(-0.723135\pi\) | ||||
−0.644981 | + | 0.764198i | \(0.723135\pi\) | |||||||
\(348\) | −7.72573 | − | 4.46045i | −0.414143 | − | 0.239105i | ||||
\(349\) | −28.9043 | − | 16.6879i | −1.54721 | − | 0.893283i | −0.998353 | − | 0.0573673i | \(-0.981729\pi\) |
−0.548858 | − | 0.835916i | \(-0.684937\pi\) | |||||||
\(350\) | −9.28591 | + | 4.04069i | −0.496353 | + | 0.215984i | ||||
\(351\) | 12.7138 | + | 3.40665i | 0.678612 | + | 0.181833i | ||||
\(352\) | −0.973266 | + | 0.561916i | −0.0518753 | + | 0.0299502i | ||||
\(353\) | 25.7151 | + | 14.8466i | 1.36867 | + | 0.790205i | 0.990759 | − | 0.135635i | \(-0.0433075\pi\) |
0.377916 | + | 0.925840i | \(0.376641\pi\) | |||||||
\(354\) | −9.30095 | + | 16.1097i | −0.494340 | + | 0.856222i | ||||
\(355\) | 14.2839 | + | 6.88730i | 0.758111 | + | 0.365540i | ||||
\(356\) | −9.70810 | − | 9.70810i | −0.514528 | − | 0.514528i | ||||
\(357\) | −1.63894 | − | 2.83872i | −0.0867417 | − | 0.150241i | ||||
\(358\) | −19.2915 | + | 5.16913i | −1.01959 | + | 0.273197i | ||||
\(359\) | 8.36739i | 0.441614i | 0.975318 | + | 0.220807i | \(0.0708691\pi\) | ||||
−0.975318 | + | 0.220807i | \(0.929131\pi\) | |||||||
\(360\) | −9.01373 | + | 0.671093i | −0.475065 | + | 0.0353697i | ||||
\(361\) | −15.5842 | − | 8.99753i | −0.820220 | − | 0.473554i | ||||
\(362\) | −11.6682 | −0.613265 | ||||||||
\(363\) | 6.68769 | − | 24.9588i | 0.351013 | − | 1.31000i | ||||
\(364\) | 6.81571 | + | 6.81571i | 0.357240 | + | 0.357240i | ||||
\(365\) | 25.4937 | + | 4.83647i | 1.33440 | + | 0.253153i | ||||
\(366\) | 18.4865 | + | 32.0195i | 0.966302 | + | 1.67368i | ||||
\(367\) | 0.472693 | − | 1.76411i | 0.0246744 | − | 0.0920860i | −0.952491 | − | 0.304568i | \(-0.901488\pi\) |
0.977165 | + | 0.212482i | \(0.0681546\pi\) | |||||||
\(368\) | −2.94076 | + | 5.09355i | −0.153298 | + | 0.265520i | ||||
\(369\) | −35.3519 | −1.84035 | ||||||||
\(370\) | 8.99027 | + | 10.2066i | 0.467382 | + | 0.530617i | ||||
\(371\) | −7.18131 | −0.372835 | ||||||||
\(372\) | 7.20184 | − | 12.4740i | 0.373398 | − | 0.646744i | ||||
\(373\) | 8.64253 | − | 32.2544i | 0.447493 | − | 1.67007i | −0.261774 | − | 0.965129i | \(-0.584308\pi\) |
0.709268 | − | 0.704939i | \(-0.249026\pi\) | |||||||
\(374\) | 0.342689 | + | 0.593554i | 0.0177200 | + | 0.0306919i | ||||
\(375\) | 29.6471 | + | 1.15248i | 1.53097 | + | 0.0595139i | ||||
\(376\) | −4.16660 | − | 4.16660i | −0.214876 | − | 0.214876i | ||||
\(377\) | 4.14064 | − | 15.4531i | 0.213254 | − | 0.795875i | ||||
\(378\) | 5.60174 | 0.288122 | ||||||||
\(379\) | 10.4144 | + | 6.01276i | 0.534952 | + | 0.308855i | 0.743031 | − | 0.669257i | \(-0.233388\pi\) |
−0.208079 | + | 0.978112i | \(0.566721\pi\) | |||||||
\(380\) | −1.69835 | − | 1.46298i | −0.0871235 | − | 0.0750494i | ||||
\(381\) | 18.9640i | 0.971553i | ||||||||
\(382\) | 18.4639 | − | 4.94739i | 0.944696 | − | 0.253131i | ||||
\(383\) | −0.0359998 | − | 0.0623535i | −0.00183950 | − | 0.00318611i | 0.865104 | − | 0.501592i | \(-0.167252\pi\) |
−0.866944 | + | 0.498406i | \(0.833919\pi\) | |||||||
\(384\) | −1.87646 | − | 1.87646i | −0.0957578 | − | 0.0957578i | ||||
\(385\) | −4.80493 | + | 1.67870i | −0.244882 | + | 0.0855547i | ||||
\(386\) | 6.40923 | − | 11.1011i | 0.326221 | − | 0.565032i | ||||
\(387\) | 8.85552 | + | 5.11274i | 0.450151 | + | 0.259895i | ||||
\(388\) | 9.35694 | − | 5.40223i | 0.475027 | − | 0.274257i | ||||
\(389\) | −18.5818 | − | 4.97897i | −0.942132 | − | 0.252444i | −0.245112 | − | 0.969495i | \(-0.578825\pi\) |
−0.697020 | + | 0.717051i | \(0.745491\pi\) | |||||||
\(390\) | −9.31400 | − | 26.6593i | −0.471633 | − | 1.34995i | ||||
\(391\) | 3.10634 | + | 1.79345i | 0.157094 | + | 0.0906985i | ||||
\(392\) | −2.50956 | − | 1.44889i | −0.126752 | − | 0.0731802i | ||||
\(393\) | 53.9030 | 2.71905 | ||||||||
\(394\) | −0.220478 | + | 0.822836i | −0.0111075 | + | 0.0414539i | ||||
\(395\) | −9.85773 | + | 3.44401i | −0.495996 | + | 0.173287i | ||||
\(396\) | −4.54277 | −0.228283 | ||||||||
\(397\) | −9.99150 | + | 9.99150i | −0.501459 | + | 0.501459i | −0.911891 | − | 0.410432i | \(-0.865378\pi\) |
0.410432 | + | 0.911891i | \(0.365378\pi\) | |||||||
\(398\) | −15.4109 | + | 4.12933i | −0.772476 | + | 0.206984i | ||||
\(399\) | 3.80995 | + | 3.80995i | 0.190736 | + | 0.190736i | ||||
\(400\) | 3.11366 | + | 3.91218i | 0.155683 | + | 0.195609i | ||||
\(401\) | −22.6392 | + | 22.6392i | −1.13055 | + | 1.13055i | −0.140461 | + | 0.990086i | \(0.544859\pi\) |
−0.990086 | + | 0.140461i | \(0.955141\pi\) | |||||||
\(402\) | −19.2534 | − | 33.3479i | −0.960274 | − | 1.66324i | ||||
\(403\) | 24.9505 | + | 6.68548i | 1.24287 | + | 0.333027i | ||||
\(404\) | 11.9299 | − | 6.88772i | 0.593534 | − | 0.342677i | ||||
\(405\) | 9.64202 | + | 4.64911i | 0.479116 | + | 0.231016i | ||||
\(406\) | − | 6.80869i | − | 0.337909i | ||||||
\(407\) | 4.12510 | + | 5.45109i | 0.204474 | + | 0.270201i | ||||
\(408\) | −1.14437 | + | 1.14437i | −0.0566550 | + | 0.0566550i | ||||
\(409\) | −21.4024 | + | 5.73477i | −1.05828 | + | 0.283566i | −0.745670 | − | 0.666315i | \(-0.767871\pi\) |
−0.312612 | + | 0.949881i | \(0.601204\pi\) | |||||||
\(410\) | 11.0084 | + | 16.1632i | 0.543666 | + | 0.798242i | ||||
\(411\) | 13.6177 | − | 7.86221i | 0.671714 | − | 0.387814i | ||||
\(412\) | 15.6086 | − | 9.01164i | 0.768981 | − | 0.443972i | ||||
\(413\) | −14.1975 | −0.698613 | ||||||||
\(414\) | −20.5892 | + | 11.8872i | −1.01191 | + | 0.584224i | ||||
\(415\) | 6.04946 | + | 5.21108i | 0.296956 | + | 0.255802i | ||||
\(416\) | 2.37951 | − | 4.12143i | 0.116665 | − | 0.202070i | ||||
\(417\) | −20.9021 | − | 20.9021i | −1.02358 | − | 1.02358i | ||||
\(418\) | −0.796629 | − | 0.796629i | −0.0389644 | − | 0.0389644i | ||||
\(419\) | −0.594991 | − | 0.343518i | −0.0290672 | − | 0.0167820i | 0.485396 | − | 0.874294i | \(-0.338675\pi\) |
−0.514463 | + | 0.857512i | \(0.672009\pi\) | |||||||
\(420\) | −6.76543 | − | 9.93340i | −0.330119 | − | 0.484700i | ||||
\(421\) | 21.9676 | − | 21.9676i | 1.07064 | − | 1.07064i | 0.0733291 | − | 0.997308i | \(-0.476638\pi\) |
0.997308 | − | 0.0733291i | \(-0.0233623\pi\) | |||||||
\(422\) | −4.19484 | + | 7.26568i | −0.204202 | + | 0.353688i | ||||
\(423\) | −6.16472 | − | 23.0070i | −0.299739 | − | 1.11864i | ||||
\(424\) | 0.917679 | + | 3.42482i | 0.0445664 | + | 0.166324i | ||||
\(425\) | 2.38587 | − | 1.89889i | 0.115732 | − | 0.0921096i | ||||
\(426\) | −4.87085 | + | 18.1783i | −0.235993 | + | 0.880739i | ||||
\(427\) | −14.1094 | + | 24.4382i | −0.682800 | + | 1.18265i | ||||
\(428\) | 2.75917 | − | 0.739316i | 0.133369 | − | 0.0357362i | ||||
\(429\) | −3.67341 | − | 13.7094i | −0.177354 | − | 0.661894i | ||||
\(430\) | −0.419978 | − | 5.64090i | −0.0202531 | − | 0.272028i | ||||
\(431\) | 25.8534 | + | 6.92740i | 1.24531 | + | 0.333681i | 0.820525 | − | 0.571611i | \(-0.193681\pi\) |
0.424790 | + | 0.905292i | \(0.360348\pi\) | |||||||
\(432\) | −0.715830 | − | 2.67152i | −0.0344404 | − | 0.128533i | ||||
\(433\) | 15.2715 | − | 15.2715i | 0.733900 | − | 0.733900i | −0.237490 | − | 0.971390i | \(-0.576325\pi\) |
0.971390 | + | 0.237490i | \(0.0763247\pi\) | |||||||
\(434\) | 10.9933 | 0.527695 | ||||||||
\(435\) | −8.66372 | + | 17.9681i | −0.415393 | + | 0.861505i | ||||
\(436\) | 11.8082 | − | 11.8082i | 0.565510 | − | 0.565510i | ||||
\(437\) | −5.69513 | − | 1.52601i | −0.272435 | − | 0.0729988i | ||||
\(438\) | 30.7951i | 1.47144i | ||||||||
\(439\) | −7.17501 | + | 26.7775i | −0.342445 | + | 1.27802i | 0.553124 | + | 0.833099i | \(0.313435\pi\) |
−0.895569 | + | 0.444922i | \(0.853231\pi\) | |||||||
\(440\) | 1.41460 | + | 2.07699i | 0.0674382 | + | 0.0990168i | ||||
\(441\) | −5.85675 | − | 10.1442i | −0.278893 | − | 0.483057i | ||||
\(442\) | −2.51349 | − | 1.45116i | −0.119554 | − | 0.0690247i | ||||
\(443\) | 0.994977 | + | 0.994977i | 0.0472728 | + | 0.0472728i | 0.730348 | − | 0.683075i | \(-0.239358\pi\) |
−0.683075 | + | 0.730348i | \(0.739358\pi\) | |||||||
\(444\) | −9.91208 | + | 12.7402i | −0.470406 | + | 0.604623i | ||||
\(445\) | −20.0363 | + | 23.2598i | −0.949812 | + | 1.10262i | ||||
\(446\) | −4.49208 | − | 16.7647i | −0.212706 | − | 0.793830i | ||||
\(447\) | −4.07139 | − | 1.09093i | −0.192570 | − | 0.0515990i | ||||
\(448\) | 0.524210 | − | 1.95638i | 0.0247666 | − | 0.0924302i | ||||
\(449\) | 20.6726 | + | 5.53920i | 0.975598 | + | 0.261411i | 0.711190 | − | 0.703000i | \(-0.248157\pi\) |
0.264408 | + | 0.964411i | \(0.414823\pi\) | |||||||
\(450\) | 2.99294 | + | 19.9883i | 0.141088 | + | 0.942256i | ||||
\(451\) | 4.91432 | + | 8.51186i | 0.231406 | + | 0.400808i | ||||
\(452\) | 4.92050i | 0.231441i | ||||||||
\(453\) | 8.24737 | + | 30.7796i | 0.387495 | + | 1.44615i | ||||
\(454\) | − | 8.36669i | − | 0.392668i | ||||||
\(455\) | 14.0668 | − | 16.3299i | 0.659461 | − | 0.765557i | ||||
\(456\) | 1.33013 | − | 2.30386i | 0.0622892 | − | 0.107888i | ||||
\(457\) | 13.9056 | − | 8.02843i | 0.650479 | − | 0.375554i | −0.138161 | − | 0.990410i | \(-0.544119\pi\) |
0.788640 | + | 0.614856i | \(0.210786\pi\) | |||||||
\(458\) | − | 1.33737i | − | 0.0624911i | ||||||
\(459\) | −1.62924 | + | 0.436555i | −0.0760466 | + | 0.0203766i | ||||
\(460\) | 11.8463 | + | 5.71196i | 0.552337 | + | 0.266321i | ||||
\(461\) | −9.28681 | + | 2.48839i | −0.432530 | + | 0.115896i | −0.468513 | − | 0.883456i | \(-0.655210\pi\) |
0.0359836 | + | 0.999352i | \(0.488544\pi\) | |||||||
\(462\) | −3.02019 | − | 5.23113i | −0.140512 | − | 0.243374i | ||||
\(463\) | 7.67172 | + | 13.2878i | 0.356535 | + | 0.617536i | 0.987379 | − | 0.158373i | \(-0.0506248\pi\) |
−0.630845 | + | 0.775909i | \(0.717291\pi\) | |||||||
\(464\) | −3.24712 | + | 0.870063i | −0.150744 | + | 0.0403917i | ||||
\(465\) | −29.0113 | − | 13.9884i | −1.34537 | − | 0.648698i | ||||
\(466\) | 2.51421 | − | 0.673681i | 0.116469 | − | 0.0312077i | ||||
\(467\) | − | 3.94300i | − | 0.182460i | −0.995830 | − | 0.0912301i | \(-0.970920\pi\) | ||
0.995830 | − | 0.0912301i | \(-0.0290799\pi\) | |||||||
\(468\) | 16.6597 | − | 9.61850i | 0.770096 | − | 0.444615i | ||||
\(469\) | 14.6947 | − | 25.4521i | 0.678540 | − | 1.17527i | ||||
\(470\) | −8.59935 | + | 9.98284i | −0.396658 | + | 0.460474i | ||||
\(471\) | 19.4203i | 0.894842i | ||||||||
\(472\) | 1.81426 | + | 6.77090i | 0.0835079 | + | 0.311656i | ||||
\(473\) | − | 2.84292i | − | 0.130718i | ||||||
\(474\) | −6.19619 | − | 10.7321i | −0.284601 | − | 0.492943i | ||||
\(475\) | −2.98033 | + | 4.03003i | −0.136747 | + | 0.184910i | ||||
\(476\) | −1.19311 | − | 0.319693i | −0.0546862 | − | 0.0146531i | ||||
\(477\) | −3.70946 | + | 13.8439i | −0.169844 | + | 0.633868i | ||||
\(478\) | 20.4892 | + | 5.49007i | 0.937156 | + | 0.251110i | ||||
\(479\) | −3.81670 | − | 14.2441i | −0.174389 | − | 0.650830i | −0.996655 | − | 0.0817257i | \(-0.973957\pi\) |
0.822266 | − | 0.569104i | \(-0.192710\pi\) | |||||||
\(480\) | −3.87278 | + | 4.49585i | −0.176768 | + | 0.205206i | ||||
\(481\) | −26.6697 | − | 11.2567i | −1.21603 | − | 0.513259i | ||||
\(482\) | −5.80937 | − | 5.80937i | −0.264609 | − | 0.264609i | ||||
\(483\) | −27.3769 | − | 15.8061i | −1.24569 | − | 0.719201i | ||||
\(484\) | −4.86850 | − | 8.43249i | −0.221296 | − | 0.383295i | ||||
\(485\) | −13.5999 | − | 19.9681i | −0.617538 | − | 0.906706i | ||||
\(486\) | −5.43544 | + | 20.2853i | −0.246557 | + | 0.920162i | ||||
\(487\) | − | 40.5464i | − | 1.83733i | −0.395035 | − | 0.918666i | \(-0.629267\pi\) | ||
0.395035 | − | 0.918666i | \(-0.370733\pi\) | |||||||
\(488\) | 13.4578 | + | 3.60599i | 0.609204 | + | 0.163236i | ||||
\(489\) | 7.83787 | − | 7.83787i | 0.354441 | − | 0.354441i | ||||
\(490\) | −2.81425 | + | 5.83660i | −0.127135 | + | 0.263671i | ||||
\(491\) | −2.02704 | −0.0914790 | −0.0457395 | − | 0.998953i | \(-0.514564\pi\) | ||||
−0.0457395 | + | 0.998953i | \(0.514564\pi\) | |||||||
\(492\) | −16.4109 | + | 16.4109i | −0.739860 | + | 0.739860i | ||||
\(493\) | 0.530614 | + | 1.98028i | 0.0238977 | + | 0.0891873i | ||||
\(494\) | 4.60820 | + | 1.23476i | 0.207333 | + | 0.0555547i | ||||
\(495\) | 0.754195 | + | 10.1299i | 0.0338986 | + | 0.455306i | ||||
\(496\) | −1.40480 | − | 5.24279i | −0.0630775 | − | 0.235408i | ||||
\(497\) | −13.8742 | + | 3.71757i | −0.622341 | + | 0.166756i | ||||
\(498\) | −4.73788 | + | 8.20625i | −0.212310 | + | 0.367731i | ||||
\(499\) | −10.0374 | + | 37.4600i | −0.449335 | + | 1.67694i | 0.254894 | + | 0.966969i | \(0.417959\pi\) |
−0.704229 | + | 0.709973i | \(0.748707\pi\) | |||||||
\(500\) | 8.20682 | − | 7.59264i | 0.367020 | − | 0.339553i | ||||
\(501\) | 3.72619 | + | 13.9063i | 0.166474 | + | 0.621290i | ||||
\(502\) | 4.98177 | + | 18.5922i | 0.222347 | + | 0.829812i | ||||
\(503\) | −1.86775 | + | 3.23504i | −0.0832789 | + | 0.144243i | −0.904657 | − | 0.426141i | \(-0.859873\pi\) |
0.821378 | + | 0.570385i | \(0.193206\pi\) | |||||||
\(504\) | 5.78914 | − | 5.78914i | 0.257869 | − | 0.257869i | ||||
\(505\) | −17.3395 | − | 25.4589i | −0.771598 | − | 1.13291i | ||||
\(506\) | 5.72429 | + | 3.30492i | 0.254476 | + | 0.146922i | ||||
\(507\) | 18.1046 | + | 18.1046i | 0.804053 | + | 0.804053i | ||||
\(508\) | 5.05311 | + | 5.05311i | 0.224196 | + | 0.224196i | ||||
\(509\) | 14.5825 | − | 25.2577i | 0.646360 | − | 1.11953i | −0.337626 | − | 0.941280i | \(-0.609624\pi\) |
0.983986 | − | 0.178248i | \(-0.0570428\pi\) | |||||||
\(510\) | 2.74183 | + | 2.36185i | 0.121410 | + | 0.104584i | ||||
\(511\) | −20.3548 | + | 11.7518i | −0.900441 | + | 0.519870i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.40113 | − | 1.38629i | 0.106012 | − | 0.0612062i | ||||
\(514\) | −6.00922 | + | 3.46942i | −0.265055 | + | 0.153030i | ||||
\(515\) | −22.6864 | − | 33.3095i | −0.999681 | − | 1.46779i | ||||
\(516\) | 6.48429 | − | 1.73746i | 0.285455 | − | 0.0764874i | ||||
\(517\) | −4.68256 | + | 4.68256i | −0.205939 | + | 0.205939i | ||||
\(518\) | −12.2035 | − | 1.68979i | −0.536193 | − | 0.0742451i | ||||
\(519\) | 10.6021i | 0.465381i | ||||||||
\(520\) | −9.58541 | − | 4.62181i | −0.420348 | − | 0.202680i | ||||
\(521\) | 14.2125 | − | 8.20557i | 0.622659 | − | 0.359492i | −0.155244 | − | 0.987876i | \(-0.549617\pi\) |
0.777904 | + | 0.628384i | \(0.216283\pi\) | |||||||
\(522\) | −13.1256 | − | 3.51698i | −0.574490 | − | 0.153934i | ||||
\(523\) | −17.0300 | − | 29.4968i | −0.744668 | − | 1.28980i | −0.950350 | − | 0.311184i | \(-0.899274\pi\) |
0.205681 | − | 0.978619i | \(-0.434059\pi\) | |||||||
\(524\) | 14.3629 | − | 14.3629i | 0.627448 | − | 0.627448i | ||||
\(525\) | −21.0272 | + | 16.7353i | −0.917704 | + | 0.730390i | ||||
\(526\) | 22.1534 | + | 22.1534i | 0.965935 | + | 0.965935i | ||||
\(527\) | −3.19736 | + | 0.856729i | −0.139279 | + | 0.0373197i | ||||
\(528\) | −2.10883 | + | 2.10883i | −0.0917749 | + | 0.0917749i | ||||
\(529\) | 11.5923 | 0.504014 | ||||||||
\(530\) | 7.48465 | − | 2.61492i | 0.325112 | − | 0.113585i | ||||
\(531\) | −7.33362 | + | 27.3695i | −0.318252 | + | 1.18773i | ||||
\(532\) | 2.03039 | 0.0880285 | ||||||||
\(533\) | −36.0446 | − | 20.8104i | −1.56127 | − | 0.901398i | ||||
\(534\) | −31.5525 | − | 18.2169i | −1.36541 | − | 0.788321i | ||||
\(535\) | −2.10668 | − | 6.02991i | −0.0910796 | − | 0.260696i | ||||
\(536\) | −14.0161 | − | 3.75560i | −0.605403 | − | 0.162217i | ||||
\(537\) | −45.8994 | + | 26.5000i | −1.98070 | + | 1.14356i | ||||
\(538\) | 15.0262 | + | 8.67538i | 0.647825 | + | 0.374022i | ||||
\(539\) | −1.62831 | + | 2.82032i | −0.0701364 | + | 0.121480i | ||||
\(540\) | −5.83836 | + | 2.03975i | −0.251243 | + | 0.0877771i | ||||
\(541\) | 8.61393 | + | 8.61393i | 0.370342 | + | 0.370342i | 0.867602 | − | 0.497260i | \(-0.165660\pi\) |
−0.497260 | + | 0.867602i | \(0.665660\pi\) | |||||||
\(542\) | 8.45565 | + | 14.6456i | 0.363201 | + | 0.629083i | ||||
\(543\) | −29.9089 | + | 8.01407i | −1.28351 | + | 0.343917i | ||||
\(544\) | 0.609858i | 0.0261474i | ||||||||
\(545\) | −28.2914 | − | 24.3706i | −1.21187 | − | 1.04392i | ||||
\(546\) | 22.1519 | + | 12.7894i | 0.948015 | + | 0.547337i | ||||
\(547\) | −1.86737 | −0.0798431 | −0.0399215 | − | 0.999203i | \(-0.512711\pi\) | ||||
−0.0399215 | + | 0.999203i | \(0.512711\pi\) | |||||||
\(548\) | 1.53361 | − | 5.72353i | 0.0655128 | − | 0.244497i | ||||
\(549\) | 39.8230 | + | 39.8230i | 1.69960 | + | 1.69960i | ||||
\(550\) | 4.39663 | − | 3.49923i | 0.187473 | − | 0.149208i | ||||
\(551\) | −1.68498 | − | 2.91847i | −0.0717826 | − | 0.124331i | ||||
\(552\) | −4.03962 | + | 15.0761i | −0.171938 | + | 0.641681i | ||||
\(553\) | 4.72911 | − | 8.19105i | 0.201102 | − | 0.348319i | ||||
\(554\) | −23.9634 | −1.01811 | ||||||||
\(555\) | 30.0550 | + | 19.9878i | 1.27576 | + | 0.848433i | ||||
\(556\) | −11.1391 | −0.472402 | ||||||||
\(557\) | 20.3530 | − | 35.2525i | 0.862386 | − | 1.49370i | −0.00723424 | − | 0.999974i | \(-0.502303\pi\) |
0.869620 | − | 0.493722i | \(-0.164364\pi\) | |||||||
\(558\) | 5.67852 | − | 21.1925i | 0.240391 | − | 0.897151i | ||||
\(559\) | 6.01937 | + | 10.4259i | 0.254592 | + | 0.440967i | ||||
\(560\) | −4.44955 | − | 0.844134i | −0.188028 | − | 0.0356712i | ||||
\(561\) | 1.28608 | + | 1.28608i | 0.0542985 | + | 0.0542985i | ||||
\(562\) | 6.18218 | − | 23.0722i | 0.260780 | − | 0.973243i | ||||
\(563\) | −12.4306 | −0.523887 | −0.261943 | − | 0.965083i | \(-0.584363\pi\) | ||||
−0.261943 | + | 0.965083i | \(0.584363\pi\) | |||||||
\(564\) | −13.5420 | − | 7.81847i | −0.570221 | − | 0.329217i | ||||
\(565\) | 10.9722 | − | 0.816906i | 0.461604 | − | 0.0343675i | ||||
\(566\) | 5.41070i | 0.227429i | ||||||||
\(567\) | −9.36542 | + | 2.50946i | −0.393311 | + | 0.105387i | ||||
\(568\) | 3.54588 | + | 6.14164i | 0.148782 | + | 0.257697i | ||||
\(569\) | 0.758462 | + | 0.758462i | 0.0317964 | + | 0.0317964i | 0.722826 | − | 0.691030i | \(-0.242843\pi\) |
−0.691030 | + | 0.722826i | \(0.742843\pi\) | |||||||
\(570\) | −5.35819 | − | 2.58357i | −0.224430 | − | 0.108214i | ||||
\(571\) | −1.95838 | + | 3.39202i | −0.0819558 | + | 0.141952i | −0.904090 | − | 0.427342i | \(-0.859450\pi\) |
0.822134 | + | 0.569294i | \(0.192783\pi\) | |||||||
\(572\) | −4.63179 | − | 2.67417i | −0.193665 | − | 0.111813i | ||||
\(573\) | 43.9304 | − | 25.3632i | 1.83522 | − | 1.05956i | ||||
\(574\) | −17.1098 | − | 4.58456i | −0.714150 | − | 0.191356i | ||||
\(575\) | 10.7703 | − | 27.3644i | 0.449154 | − | 1.14117i | ||||
\(576\) | −3.50066 | − | 2.02111i | −0.145861 | − | 0.0842129i | ||||
\(577\) | −7.95453 | − | 4.59255i | −0.331151 | − | 0.191190i | 0.325201 | − | 0.945645i | \(-0.394568\pi\) |
−0.656352 | + | 0.754455i | \(0.727901\pi\) | |||||||
\(578\) | −16.6281 | −0.691637 | ||||||||
\(579\) | 8.80414 | − | 32.8575i | 0.365888 | − | 1.36551i | ||||
\(580\) | 2.47924 | + | 7.09629i | 0.102945 | + | 0.294657i | ||||
\(581\) | −7.23217 | −0.300041 | ||||||||
\(582\) | 20.2742 | − | 20.2742i | 0.840391 | − | 0.840391i | ||||
\(583\) | 3.84892 | − | 1.03132i | 0.159406 | − | 0.0427128i | ||||
\(584\) | 8.20562 | + | 8.20562i | 0.339551 | + | 0.339551i | ||||
\(585\) | −24.2141 | − | 35.5526i | −1.00113 | − | 1.46992i | ||||
\(586\) | 2.94199 | − | 2.94199i | 0.121532 | − | 0.121532i | ||||
\(587\) | 7.19146 | + | 12.4560i | 0.296823 | + | 0.514113i | 0.975407 | − | 0.220410i | \(-0.0707395\pi\) |
−0.678584 | + | 0.734523i | \(0.737406\pi\) | |||||||
\(588\) | −7.42789 | − | 1.99030i | −0.306321 | − | 0.0820785i | ||||
\(589\) | 4.71216 | − | 2.72056i | 0.194161 | − | 0.112099i | ||||
\(590\) | 14.7972 | − | 5.16972i | 0.609191 | − | 0.212834i | ||||
\(591\) | 2.26060i | 0.0929887i | ||||||||
\(592\) | 0.753581 | + | 6.03590i | 0.0309720 | + | 0.248074i | ||||
\(593\) | −17.4500 | + | 17.4500i | −0.716584 | + | 0.716584i | −0.967904 | − | 0.251320i | \(-0.919135\pi\) |
0.251320 | + | 0.967904i | \(0.419135\pi\) | |||||||
\(594\) | −3.00233 | + | 0.804472i | −0.123187 | + | 0.0330079i | ||||
\(595\) | −0.514802 | + | 2.71359i | −0.0211048 | + | 0.111246i | ||||
\(596\) | −1.37555 | + | 0.794171i | −0.0563445 | + | 0.0325305i | ||||
\(597\) | −36.6664 | + | 21.1694i | −1.50066 | + | 0.866404i | ||||
\(598\) | −27.9903 | −1.14461 | ||||||||
\(599\) | 12.7512 | − | 7.36193i | 0.521001 | − | 0.300800i | −0.216343 | − | 0.976317i | \(-0.569413\pi\) |
0.737344 | + | 0.675517i | \(0.236080\pi\) | |||||||
\(600\) | 10.6682 | + | 7.88950i | 0.435529 | + | 0.322088i | ||||
\(601\) | −13.4916 | + | 23.3682i | −0.550336 | + | 0.953209i | 0.447914 | + | 0.894076i | \(0.352167\pi\) |
−0.998250 | + | 0.0591330i | \(0.981166\pi\) | |||||||
\(602\) | 3.62291 | + | 3.62291i | 0.147659 | + | 0.147659i | ||||
\(603\) | −41.4752 | − | 41.4752i | −1.68900 | − | 1.68900i | ||||
\(604\) | 10.3991 | + | 6.00392i | 0.423133 | + | 0.244296i | ||||
\(605\) | −17.9953 | + | 12.2562i | −0.731613 | + | 0.498286i | ||||
\(606\) | 25.8491 | − | 25.8491i | 1.05005 | − | 1.05005i | ||||
\(607\) | 0.945249 | − | 1.63722i | 0.0383665 | − | 0.0664527i | −0.846205 | − | 0.532858i | \(-0.821118\pi\) |
0.884571 | + | 0.466406i | \(0.154451\pi\) | |||||||
\(608\) | −0.259458 | − | 0.968309i | −0.0105224 | − | 0.0392701i | ||||
\(609\) | −4.67643 | − | 17.4527i | −0.189498 | − | 0.707218i | ||||
\(610\) | 5.80672 | − | 30.6081i | 0.235107 | − | 1.23928i | ||||
\(611\) | 7.25790 | − | 27.0868i | 0.293623 | − | 1.09582i | ||||
\(612\) | −1.23259 | + | 2.13491i | −0.0498245 | + | 0.0862985i | ||||
\(613\) | −24.2316 | + | 6.49283i | −0.978704 | + | 0.262243i | −0.712499 | − | 0.701673i | \(-0.752437\pi\) |
−0.266205 | + | 0.963916i | \(0.585770\pi\) | |||||||
\(614\) | −7.00578 | − | 26.1459i | −0.282730 | − | 1.05516i | ||||
\(615\) | 39.3192 | + | 33.8700i | 1.58550 | + | 1.36577i | ||||
\(616\) | −2.19864 | − | 0.589123i | −0.0885857 | − | 0.0237365i | ||||
\(617\) | 1.23831 | + | 4.62145i | 0.0498526 | + | 0.186052i | 0.986362 | − | 0.164590i | \(-0.0526300\pi\) |
−0.936510 | + | 0.350642i | \(0.885963\pi\) | |||||||
\(618\) | 33.8200 | − | 33.8200i | 1.36044 | − | 1.36044i | ||||
\(619\) | 2.92309 | 0.117489 | 0.0587445 | − | 0.998273i | \(-0.481290\pi\) | ||||
0.0587445 | + | 0.998273i | \(0.481290\pi\) | |||||||
\(620\) | −11.4577 | + | 4.00298i | −0.460150 | + | 0.160763i | ||||
\(621\) | −11.5024 | + | 11.5024i | −0.461576 | + | 0.461576i | ||||
\(622\) | −5.69972 | − | 1.52724i | −0.228538 | − | 0.0612366i | ||||
\(623\) | − | 27.8072i | − | 1.11407i | ||||||
\(624\) | 3.26865 | − | 12.1988i | 0.130851 | − | 0.488341i | ||||
\(625\) | −18.2933 | − | 17.0398i | −0.731732 | − | 0.681592i | ||||
\(626\) | −14.8031 | − | 25.6397i | −0.591650 | − | 1.02477i | ||||
\(627\) | −2.58915 | − | 1.49484i | −0.103401 | − | 0.0596984i | ||||
\(628\) | 5.17472 | + | 5.17472i | 0.206494 | + | 0.206494i | ||||
\(629\) | 3.68104 | − | 0.459577i | 0.146773 | − | 0.0183245i | ||||
\(630\) | −13.8703 | − | 11.9481i | −0.552606 | − | 0.476022i | ||||
\(631\) | 9.97860 | + | 37.2406i | 0.397242 | + | 1.48253i | 0.817928 | + | 0.575320i | \(0.195123\pi\) |
−0.420687 | + | 0.907206i | \(0.638211\pi\) | |||||||
\(632\) | −4.51070 | − | 1.20864i | −0.179426 | − | 0.0480771i | ||||
\(633\) | −5.76231 | + | 21.5052i | −0.229031 | + | 0.854757i | ||||
\(634\) | 9.54085 | + | 2.55646i | 0.378916 | + | 0.101530i | ||||
\(635\) | 10.4290 | − | 12.1068i | 0.413862 | − | 0.480445i | ||||
\(636\) | 4.70456 | + | 8.14854i | 0.186548 | + | 0.323111i | ||||
\(637\) | − | 13.7906i | − | 0.546405i | ||||||
\(638\) | 0.977804 | + | 3.64921i | 0.0387116 | + | 0.144474i | ||||
\(639\) | 28.6664i | 1.13403i | ||||||||
\(640\) | 0.166021 | + | 2.22990i | 0.00656255 | + | 0.0881444i | ||||
\(641\) | −16.5248 | + | 28.6217i | −0.652689 | + | 1.13049i | 0.329779 | + | 0.944058i | \(0.393026\pi\) |
−0.982468 | + | 0.186432i | \(0.940307\pi\) | |||||||
\(642\) | 6.56477 | − | 3.79017i | 0.259091 | − | 0.149586i | ||||
\(643\) | 11.6270i | 0.458523i | 0.973365 | + | 0.229262i | \(0.0736311\pi\) | ||||
−0.973365 | + | 0.229262i | \(0.926369\pi\) | |||||||
\(644\) | −11.5065 | + | 3.08315i | −0.453419 | + | 0.121493i | ||||
\(645\) | −4.95088 | − | 14.1708i | −0.194941 | − | 0.557976i | ||||
\(646\) | −0.590531 | + | 0.158232i | −0.0232341 | + | 0.00622556i | ||||
\(647\) | −4.49154 | − | 7.77957i | −0.176581 | − | 0.305847i | 0.764127 | − | 0.645066i | \(-0.223170\pi\) |
−0.940707 | + | 0.339220i | \(0.889837\pi\) | |||||||
\(648\) | 2.39356 | + | 4.14577i | 0.0940279 | + | 0.162861i | ||||
\(649\) | 7.60935 | − | 2.03892i | 0.298693 | − | 0.0800345i | ||||
\(650\) | −8.71479 | + | 22.1418i | −0.341822 | + | 0.868472i | ||||
\(651\) | 28.1790 | − | 7.55055i | 1.10442 | − | 0.295930i | ||||
\(652\) | − | 4.17694i | − | 0.163582i | ||||||
\(653\) | 32.6893 | − | 18.8732i | 1.27923 | − | 0.738563i | 0.302523 | − | 0.953142i | \(-0.402171\pi\) |
0.976707 | + | 0.214579i | \(0.0688378\pi\) | |||||||
\(654\) | 22.1576 | − | 38.3781i | 0.866431 | − | 1.50070i | ||||
\(655\) | −34.4124 | − | 29.6433i | −1.34460 | − | 1.15826i | ||||
\(656\) | 8.74566i | 0.341461i | ||||||||
\(657\) | 12.1407 | + | 45.3096i | 0.473652 | + | 1.76769i | ||||
\(658\) | − | 11.9346i | − | 0.465257i | ||||||
\(659\) | 17.7677 | + | 30.7746i | 0.692132 | + | 1.19881i | 0.971138 | + | 0.238518i | \(0.0766617\pi\) |
−0.279006 | + | 0.960289i | \(0.590005\pi\) | |||||||
\(660\) | 5.05257 | + | 4.35235i | 0.196671 | + | 0.169415i | ||||
\(661\) | −32.5227 | − | 8.71443i | −1.26499 | − | 0.338952i | −0.436879 | − | 0.899521i | \(-0.643916\pi\) |
−0.828108 | + | 0.560568i | \(0.810583\pi\) | |||||||
\(662\) | −1.39026 | + | 5.18854i | −0.0540342 | + | 0.201658i | ||||
\(663\) | −7.43951 | − | 1.99341i | −0.288927 | − | 0.0774177i | ||||
\(664\) | 0.924178 | + | 3.44908i | 0.0358651 | + | 0.133850i | ||||
\(665\) | −0.337087 | − | 4.52756i | −0.0130717 | − | 0.175571i | ||||
\(666\) | −9.56119 | + | 22.6527i | −0.370488 | + | 0.877776i | ||||
\(667\) | 13.9807 | + | 13.9807i | 0.541335 | + | 0.541335i | ||||
\(668\) | 4.69835 | + | 2.71259i | 0.181785 | + | 0.104953i | ||||
\(669\) | −23.0291 | − | 39.8875i | −0.890355 | − | 1.54214i | ||||
\(670\) | −6.04764 | + | 31.8779i | −0.233641 | + | 1.23155i | ||||
\(671\) | 4.05253 | − | 15.1242i | 0.156446 | − | 0.583865i | ||||
\(672\) | − | 5.37482i | − | 0.207338i | ||||||
\(673\) | −15.6901 | − | 4.20415i | −0.604809 | − | 0.162058i | −0.0565967 | − | 0.998397i | \(-0.518025\pi\) |
−0.548213 | + | 0.836339i | \(0.684692\pi\) | |||||||
\(674\) | 17.5953 | − | 17.5953i | 0.677744 | − | 0.677744i | ||||
\(675\) | 5.51773 | + | 12.6803i | 0.212378 | + | 0.488065i | ||||
\(676\) | 9.64825 | 0.371087 | ||||||||
\(677\) | 16.5260 | − | 16.5260i | 0.635145 | − | 0.635145i | −0.314209 | − | 0.949354i | \(-0.601739\pi\) |
0.949354 | + | 0.314209i | \(0.101739\pi\) | |||||||
\(678\) | 3.37956 | + | 12.6127i | 0.129791 | + | 0.484388i | ||||
\(679\) | 21.1376 | + | 5.66381i | 0.811187 | + | 0.217357i | ||||
\(680\) | 1.35992 | − | 0.101249i | 0.0521505 | − | 0.00388273i | ||||
\(681\) | −5.74652 | − | 21.4463i | −0.220207 | − | 0.821824i | ||||
\(682\) | −5.89201 | + | 1.57876i | −0.225617 | + | 0.0604538i | ||||
\(683\) | −15.8504 | + | 27.4537i | −0.606499 | + | 1.05049i | 0.385314 | + | 0.922786i | \(0.374093\pi\) |
−0.991813 | + | 0.127701i | \(0.959240\pi\) | |||||||
\(684\) | 1.04878 | − | 3.91412i | 0.0401013 | − | 0.149660i | ||||
\(685\) | −13.0175 | − | 2.46958i | −0.497372 | − | 0.0943576i | ||||
\(686\) | −5.18852 | − | 19.3638i | −0.198099 | − | 0.739314i | ||||
\(687\) | −0.918548 | − | 3.42807i | −0.0350448 | − | 0.130789i | ||||
\(688\) | 1.26483 | − | 2.19076i | 0.0482214 | − | 0.0835218i | ||||
\(689\) | −11.9316 | + | 11.9316i | −0.454556 | + | 0.454556i | ||||
\(690\) | 34.2888 | + | 6.50500i | 1.30535 | + | 0.247641i | ||||
\(691\) | 37.5818 | + | 21.6979i | 1.42968 | + | 0.825426i | 0.997095 | − | 0.0761670i | \(-0.0242682\pi\) |
0.432585 | + | 0.901593i | \(0.357602\pi\) | |||||||
\(692\) | 2.82502 | + | 2.82502i | 0.107391 | + | 0.107391i | ||||
\(693\) | −6.50601 | − | 6.50601i | −0.247143 | − | 0.247143i | ||||
\(694\) | −12.0147 | + | 20.8100i | −0.456071 | + | 0.789937i | ||||
\(695\) | 1.84932 | + | 24.8390i | 0.0701487 | + | 0.942197i | ||||
\(696\) | −7.72573 | + | 4.46045i | −0.292843 | + | 0.169073i | ||||
\(697\) | 5.33361 | 0.202025 | ||||||||
\(698\) | −28.9043 | + | 16.6879i | −1.09404 | + | 0.631646i | ||||
\(699\) | 5.98196 | − | 3.45369i | 0.226259 | − | 0.130630i | ||||
\(700\) | −1.14361 | + | 10.0622i | −0.0432245 | + | 0.380315i | ||||
\(701\) | 7.31445 | − | 1.95990i | 0.276263 | − | 0.0740244i | −0.118027 | − | 0.993010i | \(-0.537657\pi\) |
0.394290 | + | 0.918986i | \(0.370990\pi\) | |||||||
\(702\) | 9.30714 | − | 9.30714i | 0.351275 | − | 0.351275i | ||||
\(703\) | −5.64910 | + | 2.29576i | −0.213060 | + | 0.0865863i | ||||
\(704\) | 1.12383i | 0.0423560i | ||||||||
\(705\) | −15.1861 | + | 31.4953i | −0.571943 | + | 1.18618i | ||||
\(706\) | 25.7151 | − | 14.8466i | 0.967799 | − | 0.558759i | ||||
\(707\) | 26.9500 | + | 7.22122i | 1.01356 | + | 0.271582i | ||||
\(708\) | 9.30095 | + | 16.1097i | 0.349551 | + | 0.605440i | ||||
\(709\) | 22.7969 | − | 22.7969i | 0.856155 | − | 0.856155i | −0.134728 | − | 0.990883i | \(-0.543016\pi\) |
0.990883 | + | 0.134728i | \(0.0430159\pi\) | |||||||
\(710\) | 13.1065 | − | 8.92658i | 0.491879 | − | 0.335009i | ||||
\(711\) | −13.3477 | − | 13.3477i | −0.500576 | − | 0.500576i | ||||
\(712\) | −13.2615 | + | 3.55341i | −0.496996 | + | 0.133170i | ||||
\(713\) | −22.5732 | + | 22.5732i | −0.845374 | + | 0.845374i | ||||
\(714\) | −3.27787 | −0.122671 | ||||||||
\(715\) | −5.19414 | + | 10.7724i | −0.194250 | + | 0.402864i | ||||
\(716\) | −5.16913 | + | 19.2915i | −0.193179 | + | 0.720956i | ||||
\(717\) | 56.2907 | 2.10221 | ||||||||
\(718\) | 7.24637 | + | 4.18369i | 0.270432 | + | 0.156134i | ||||
\(719\) | −34.5568 | − | 19.9514i | −1.28875 | − | 0.744062i | −0.310321 | − | 0.950632i | \(-0.600437\pi\) |
−0.978432 | + | 0.206570i | \(0.933770\pi\) | |||||||
\(720\) | −3.92568 | + | 8.14167i | −0.146301 | + | 0.303422i | ||||
\(721\) | 35.2603 | + | 9.44798i | 1.31316 | + | 0.351861i | ||||
\(722\) | −15.5842 | + | 8.99753i | −0.579983 | + | 0.334853i | ||||
\(723\) | −18.8812 | − | 10.9011i | −0.702199 | − | 0.405415i | ||||
\(724\) | −5.83408 | + | 10.1049i | −0.216822 | + | 0.375546i | ||||
\(725\) | 15.4124 | − | 6.70658i | 0.572402 | − | 0.249076i | ||||
\(726\) | −18.2711 | − | 18.2711i | −0.678105 | − | 0.678105i | ||||
\(727\) | 9.28337 | + | 16.0793i | 0.344301 | + | 0.596347i | 0.985227 | − | 0.171256i | \(-0.0547825\pi\) |
−0.640925 | + | 0.767603i | \(0.721449\pi\) | |||||||
\(728\) | 9.31044 | − | 2.49472i | 0.345068 | − | 0.0924606i | ||||
\(729\) | 41.3692i | 1.53219i | ||||||||
\(730\) | 16.9354 | − | 19.6600i | 0.626806 | − | 0.727649i | ||||
\(731\) | −1.33605 | − | 0.771369i | −0.0494156 | − | 0.0285301i | ||||
\(732\) | 36.9729 | 1.36656 | ||||||||
\(733\) | 7.18267 | − | 26.8061i | 0.265298 | − | 0.990106i | −0.696770 | − | 0.717295i | \(-0.745380\pi\) |
0.962068 | − | 0.272811i | \(-0.0879534\pi\) | |||||||
\(734\) | −1.29142 | − | 1.29142i | −0.0476672 | − | 0.0476672i | ||||
\(735\) | −3.20497 | + | 16.8939i | −0.118217 | + | 0.623139i | ||||
\(736\) | 2.94076 | + | 5.09355i | 0.108398 | + | 0.187751i | ||||
\(737\) | −4.22066 | + | 15.7517i | −0.155470 | + | 0.580222i | ||||
\(738\) | −17.6759 | + | 30.6156i | −0.650660 | + | 1.12698i | ||||
\(739\) | 3.93004 | 0.144569 | 0.0722845 | − | 0.997384i | \(-0.476971\pi\) | ||||
0.0722845 | + | 0.997384i | \(0.476971\pi\) | |||||||
\(740\) | 13.3343 | − | 2.68249i | 0.490180 | − | 0.0986104i | ||||
\(741\) | 12.6603 | 0.465086 | ||||||||
\(742\) | −3.59065 | + | 6.21919i | −0.131817 | + | 0.228314i | ||||
\(743\) | −6.15599 | + | 22.9745i | −0.225841 | + | 0.842851i | 0.756224 | + | 0.654312i | \(0.227042\pi\) |
−0.982066 | + | 0.188539i | \(0.939625\pi\) | |||||||
\(744\) | −7.20184 | − | 12.4740i | −0.264032 | − | 0.457317i | ||||
\(745\) | 1.99929 | + | 2.93547i | 0.0732483 | + | 0.107547i | ||||
\(746\) | −23.6118 | − | 23.6118i | −0.864491 | − | 0.864491i | ||||
\(747\) | −3.73573 | + | 13.9419i | −0.136683 | + | 0.510109i | ||||
\(748\) | 0.685377 | 0.0250599 | ||||||||
\(749\) | 5.01041 | + | 2.89276i | 0.183077 | + | 0.105699i | ||||
\(750\) | 15.8216 | − | 25.0989i | 0.577724 | − | 0.916482i | ||||
\(751\) | − | 17.4262i | − | 0.635893i | −0.948109 | − | 0.317946i | \(-0.897007\pi\) | ||
0.948109 | − | 0.317946i | \(-0.102993\pi\) | |||||||
\(752\) | −5.69169 | + | 1.52508i | −0.207554 | + | 0.0556141i | ||||
\(753\) | 25.5395 | + | 44.2357i | 0.930711 | + | 1.61204i | ||||
\(754\) | −11.3125 | − | 11.3125i | −0.411975 | − | 0.411975i | ||||
\(755\) | 11.6616 | − | 24.1857i | 0.424411 | − | 0.880206i | ||||
\(756\) | 2.80087 | − | 4.85125i | 0.101867 | − | 0.176438i | ||||
\(757\) | −2.28616 | − | 1.31992i | −0.0830919 | − | 0.0479731i | 0.457878 | − | 0.889015i | \(-0.348610\pi\) |
−0.540970 | + | 0.841042i | \(0.681943\pi\) | |||||||
\(758\) | 10.4144 | − | 6.01276i | 0.378268 | − | 0.218393i | ||||
\(759\) | 16.9430 | + | 4.53985i | 0.614991 | + | 0.164786i | ||||
\(760\) | −2.11615 | + | 0.739323i | −0.0767610 | + | 0.0268181i | ||||
\(761\) | −27.4751 | − | 15.8628i | −0.995972 | − | 0.575025i | −0.0889182 | − | 0.996039i | \(-0.528341\pi\) |
−0.907054 | + | 0.421014i | \(0.861674\pi\) | |||||||
\(762\) | 16.4233 | + | 9.48198i | 0.594952 | + | 0.343496i | ||||
\(763\) | 33.8226 | 1.22446 | ||||||||
\(764\) | 4.94739 | − | 18.4639i | 0.178990 | − | 0.668001i | ||||
\(765\) | 4.96526 | + | 2.39411i | 0.179519 | + | 0.0865591i | ||||
\(766\) | −0.0719996 | −0.00260145 | ||||||||
\(767\) | −23.5887 | + | 23.5887i | −0.851740 | + | 0.851740i | ||||
\(768\) | −2.56329 | + | 0.686833i | −0.0924949 | + | 0.0247839i | ||||
\(769\) | 16.8239 | + | 16.8239i | 0.606685 | + | 0.606685i | 0.942078 | − | 0.335393i | \(-0.108869\pi\) |
−0.335393 | + | 0.942078i | \(0.608869\pi\) | |||||||
\(770\) | −0.948664 | + | 5.00054i | −0.0341875 | + | 0.180207i | ||||
\(771\) | −13.0205 | + | 13.0205i | −0.468921 | + | 0.468921i | ||||
\(772\) | −6.40923 | − | 11.1011i | −0.230673 | − | 0.399538i | ||||
\(773\) | −5.03647 | − | 1.34952i | −0.181149 | − | 0.0485388i | 0.167104 | − | 0.985939i | \(-0.446558\pi\) |
−0.348253 | + | 0.937400i | \(0.613225\pi\) | |||||||
\(774\) | 8.85552 | − | 5.11274i | 0.318305 | − | 0.183774i | ||||
\(775\) | 10.8284 | + | 24.8848i | 0.388969 | + | 0.893888i | ||||
\(776\) | − | 10.8045i | − | 0.387858i | ||||||
\(777\) | −32.4419 | + | 4.05036i | −1.16385 | + | 0.145306i | ||||
\(778\) | −13.6028 | + | 13.6028i | −0.487684 | + | 0.487684i | ||||
\(779\) | −8.46850 | + | 2.26913i | −0.303416 | + | 0.0813000i | ||||
\(780\) | −27.7446 | − | 5.26350i | −0.993418 | − | 0.188463i | ||||
\(781\) | 6.90217 | − | 3.98497i | 0.246979 | − | 0.142593i | ||||
\(782\) | 3.10634 | − | 1.79345i | 0.111082 | − | 0.0641335i | ||||
\(783\) | −9.29754 | −0.332267 | ||||||||
\(784\) | −2.50956 | + | 1.44889i | −0.0896271 | + | 0.0517462i | ||||
\(785\) | 10.6800 | − | 12.3982i | 0.381185 | − | 0.442511i | ||||
\(786\) | 26.9515 | − | 46.6814i | 0.961328 | − | 1.66507i | ||||
\(787\) | 18.5831 | + | 18.5831i | 0.662417 | + | 0.662417i | 0.955949 | − | 0.293532i | \(-0.0948307\pi\) |
−0.293532 | + | 0.955949i | \(0.594831\pi\) | |||||||
\(788\) | 0.602358 | + | 0.602358i | 0.0214581 | + | 0.0214581i | ||||
\(789\) | 72.0014 | + | 41.5700i | 2.56332 | + | 1.47993i | ||||
\(790\) | −1.94627 | + | 10.2591i | −0.0692451 | + | 0.365001i | ||||
\(791\) | −7.04699 | + | 7.04699i | −0.250562 | + | 0.250562i | ||||
\(792\) | −2.27139 | + | 3.93416i | −0.0807102 | + | 0.139794i | ||||
\(793\) | 17.1610 | + | 64.0457i | 0.609405 | + | 2.27433i | ||||
\(794\) | 3.65714 | + | 13.6486i | 0.129787 | + | 0.484372i | ||||
\(795\) | 17.3893 | − | 11.8435i | 0.616737 | − | 0.420046i | ||||
\(796\) | −4.12933 | + | 15.4109i | −0.146360 | + | 0.546223i | ||||
\(797\) | 7.44208 | − | 12.8901i | 0.263612 | − | 0.456590i | −0.703587 | − | 0.710609i | \(-0.748419\pi\) |
0.967199 | + | 0.254020i | \(0.0817528\pi\) | |||||||
\(798\) | 5.20449 | − | 1.39454i | 0.184237 | − | 0.0493661i | ||||
\(799\) | 0.930083 | + | 3.47112i | 0.0329040 | + | 0.122799i | ||||
\(800\) | 4.94487 | − | 0.740419i | 0.174828 | − | 0.0261778i | ||||
\(801\) | −53.6059 | − | 14.3637i | −1.89407 | − | 0.507515i | ||||
\(802\) | 8.28652 | + | 30.9257i | 0.292607 | + | 1.09202i | ||||
\(803\) | 9.22173 | − | 9.22173i | 0.325428 | − | 0.325428i | ||||
\(804\) | −38.5068 | −1.35803 | ||||||||
\(805\) | 8.78543 | + | 25.1464i | 0.309646 | + | 0.886294i | ||||
\(806\) | 18.2651 | − | 18.2651i | 0.643359 | − | 0.643359i | ||||
\(807\) | 44.4751 | + | 11.9171i | 1.56560 | + | 0.419501i | ||||
\(808\) | − | 13.7754i | − | 0.484618i | ||||||
\(809\) | −2.88353 | + | 10.7615i | −0.101380 | + | 0.378354i | −0.997909 | − | 0.0646299i | \(-0.979413\pi\) |
0.896530 | + | 0.442984i | \(0.146080\pi\) | |||||||
\(810\) | 8.84725 | − | 6.02568i | 0.310861 | − | 0.211721i | ||||
\(811\) | 9.76382 | + | 16.9114i | 0.342854 | + | 0.593841i | 0.984962 | − | 0.172774i | \(-0.0552730\pi\) |
−0.642107 | + | 0.766615i | \(0.721940\pi\) | |||||||
\(812\) | −5.89650 | − | 3.40434i | −0.206926 | − | 0.119469i | ||||
\(813\) | 31.7334 | + | 31.7334i | 1.11294 | + | 1.11294i | ||||
\(814\) | 6.78334 | − | 0.846898i | 0.237756 | − | 0.0296838i | ||||
\(815\) | −9.31415 | + | 0.693460i | −0.326260 | + | 0.0242908i | ||||
\(816\) | 0.418870 | + | 1.56324i | 0.0146634 | + | 0.0547245i | ||||
\(817\) | 2.44950 | + | 0.656342i | 0.0856972 | + | 0.0229625i | ||||
\(818\) | −5.73477 | + | 21.4024i | −0.200511 | + | 0.748319i | ||||
\(819\) | 37.6348 | + | 10.0842i | 1.31507 | + | 0.352371i | ||||
\(820\) | 19.5019 | − | 1.45196i | 0.681036 | − | 0.0507047i | ||||
\(821\) | 23.9527 | + | 41.4873i | 0.835955 | + | 1.44792i | 0.893251 | + | 0.449559i | \(0.148419\pi\) |
−0.0572956 | + | 0.998357i | \(0.518248\pi\) | |||||||
\(822\) | − | 15.7244i | − | 0.548452i | ||||||
\(823\) | 13.0529 | + | 48.7140i | 0.454994 | + | 1.69806i | 0.688104 | + | 0.725612i | \(0.258443\pi\) |
−0.233110 | + | 0.972450i | \(0.574890\pi\) | |||||||
\(824\) | − | 18.0233i | − | 0.627871i | ||||||
\(825\) | 8.86647 | − | 11.9893i | 0.308691 | − | 0.417414i | ||||
\(826\) | −7.09874 | + | 12.2954i | −0.246997 | + | 0.427811i | ||||
\(827\) | −44.1318 | + | 25.4795i | −1.53461 | + | 0.886009i | −0.535472 | + | 0.844553i | \(0.679866\pi\) |
−0.999140 | + | 0.0414556i | \(0.986801\pi\) | |||||||
\(828\) | 23.7744i | 0.826218i | ||||||||
\(829\) | −42.8774 | + | 11.4890i | −1.48919 | + | 0.399028i | −0.909465 | − | 0.415781i | \(-0.863508\pi\) |
−0.579730 | + | 0.814809i | \(0.696842\pi\) | |||||||
\(830\) | 7.53766 | − | 2.63344i | 0.261636 | − | 0.0914081i | ||||
\(831\) | −61.4254 | + | 16.4589i | −2.13082 | + | 0.570952i | ||||
\(832\) | −2.37951 | − | 4.12143i | −0.0824946 | − | 0.142885i | ||||
\(833\) | 0.883620 | + | 1.53047i | 0.0306156 | + | 0.0530278i | ||||
\(834\) | −28.5528 | + | 7.65069i | −0.988701 | + | 0.264922i | ||||
\(835\) | 5.26877 | − | 10.9272i | 0.182333 | − | 0.378150i | ||||
\(836\) | −1.08822 | + | 0.291587i | −0.0376367 | + | 0.0100847i | ||||
\(837\) | − | 15.0118i | − | 0.518884i | ||||||
\(838\) | −0.594991 | + | 0.343518i | −0.0205536 | + | 0.0118666i | ||||
\(839\) | 5.28192 | − | 9.14855i | 0.182352 | − | 0.315843i | −0.760329 | − | 0.649538i | \(-0.774962\pi\) |
0.942681 | + | 0.333695i | \(0.108296\pi\) | |||||||
\(840\) | −11.9853 | + | 0.892332i | −0.413532 | + | 0.0307884i | ||||
\(841\) | − | 17.6992i | − | 0.610318i | ||||||
\(842\) | −8.04071 | − | 30.0083i | −0.277101 | − | 1.03416i | ||||
\(843\) | − | 63.3870i | − | 2.18317i | ||||||
\(844\) | 4.19484 | + | 7.26568i | 0.144392 | + | 0.250095i | ||||
\(845\) | −1.60181 | − | 21.5146i | −0.0551040 | − | 0.740125i | ||||
\(846\) | −23.0070 | − | 6.16472i | −0.790999 | − | 0.211947i | ||||
\(847\) | 5.10423 | − | 19.0493i | 0.175384 | − | 0.654540i | ||||
\(848\) | 3.42482 | + | 0.917679i | 0.117609 | + | 0.0315132i | ||||
\(849\) | 3.71624 | + | 13.8692i | 0.127541 | + | 0.475990i | ||||
\(850\) | −0.451550 | − | 3.01567i | −0.0154880 | − | 0.103437i | ||||
\(851\) | 28.5281 | − | 21.5886i | 0.977929 | − | 0.740046i | ||||
\(852\) | 13.3074 | + | 13.3074i | 0.455904 | + | 0.455904i | ||||
\(853\) | −41.4433 | − | 23.9273i | −1.41899 | − | 0.819255i | −0.422782 | − | 0.906232i | \(-0.638946\pi\) |
−0.996210 | + | 0.0869761i | \(0.972280\pi\) | |||||||
\(854\) | 14.1094 | + | 24.4382i | 0.482813 | + | 0.836256i | ||||
\(855\) | −8.90220 | − | 1.68886i | −0.304449 | − | 0.0577576i | ||||
\(856\) | 0.739316 | − | 2.75917i | 0.0252693 | − | 0.0943064i | ||||
\(857\) | − | 55.7201i | − | 1.90336i | −0.307086 | − | 0.951682i | \(-0.599354\pi\) | ||
0.307086 | − | 0.951682i | \(-0.400646\pi\) | |||||||
\(858\) | −13.7094 | − | 3.67341i | −0.468030 | − | 0.125408i | ||||
\(859\) | 1.81741 | − | 1.81741i | 0.0620093 | − | 0.0620093i | −0.675422 | − | 0.737431i | \(-0.736039\pi\) |
0.737431 | + | 0.675422i | \(0.236039\pi\) | |||||||
\(860\) | −5.09515 | − | 2.45674i | −0.173743 | − | 0.0837741i | ||||
\(861\) | −47.0063 | −1.60197 | ||||||||
\(862\) | 18.9260 | − | 18.9260i | 0.644622 | − | 0.644622i | ||||
\(863\) | −9.45286 | − | 35.2786i | −0.321779 | − | 1.20090i | −0.917510 | − | 0.397712i | \(-0.869804\pi\) |
0.595731 | − | 0.803184i | \(-0.296862\pi\) | |||||||
\(864\) | −2.67152 | − | 0.715830i | −0.0908868 | − | 0.0243530i | ||||
\(865\) | 5.83050 | − | 6.76853i | 0.198243 | − | 0.230137i | ||||
\(866\) | −5.58975 | − | 20.8612i | −0.189947 | − | 0.708893i | ||||
\(867\) | −42.6227 | + | 11.4207i | −1.44754 | + | 0.387868i | ||||
\(868\) | 5.49665 | − | 9.52047i | 0.186568 | − | 0.323146i | ||||
\(869\) | −1.35831 | + | 5.06927i | −0.0460774 | + | 0.171963i | ||||
\(870\) | 11.2290 | + | 16.4871i | 0.380698 | + | 0.558964i | ||||
\(871\) | −17.8730 | − | 66.7028i | −0.605603 | − | 2.26014i | ||||
\(872\) | −4.32210 | − | 16.1303i | −0.146365 | − | 0.546240i | ||||
\(873\) | 21.8370 | − | 37.8228i | 0.739071 | − | 1.28011i | ||||
\(874\) | −4.16913 | + | 4.16913i | −0.141023 | + | 0.141023i | ||||
\(875\) | 22.6275 | + | 0.879606i | 0.764948 | + | 0.0297361i | ||||
\(876\) | 26.6693 | + | 15.3975i | 0.901072 | + | 0.520234i | ||||
\(877\) | 11.8338 | + | 11.8338i | 0.399598 | + | 0.399598i | 0.878091 | − | 0.478493i | \(-0.158817\pi\) |
−0.478493 | + | 0.878091i | \(0.658817\pi\) | |||||||
\(878\) | 19.6025 | + | 19.6025i | 0.661552 | + | 0.661552i | ||||
\(879\) | 5.52053 | − | 9.56184i | 0.186203 | − | 0.322513i | ||||
\(880\) | 2.50603 | − | 0.186579i | 0.0844781 | − | 0.00628959i | ||||
\(881\) | −2.66244 | + | 1.53716i | −0.0897000 | + | 0.0517883i | −0.544179 | − | 0.838969i | \(-0.683159\pi\) |
0.454479 | + | 0.890757i | \(0.349825\pi\) | |||||||
\(882\) | −11.7135 | −0.394414 | ||||||||
\(883\) | 19.3218 | − | 11.1555i | 0.650231 | − | 0.375411i | −0.138314 | − | 0.990388i | \(-0.544168\pi\) |
0.788545 | + | 0.614978i | \(0.210835\pi\) | |||||||
\(884\) | −2.51349 | + | 1.45116i | −0.0845377 | + | 0.0488079i | ||||
\(885\) | 34.3788 | − | 23.4147i | 1.15563 | − | 0.787077i | ||||
\(886\) | 1.35916 | − | 0.364187i | 0.0456620 | − | 0.0122351i | ||||
\(887\) | 23.8478 | − | 23.8478i | 0.800731 | − | 0.800731i | −0.182479 | − | 0.983210i | \(-0.558412\pi\) |
0.983210 | + | 0.182479i | \(0.0584121\pi\) | |||||||
\(888\) | 6.07731 | + | 14.9542i | 0.203941 | + | 0.501831i | ||||
\(889\) | 14.4738i | 0.485436i | ||||||||
\(890\) | 10.1254 | + | 28.9818i | 0.339405 | + | 0.971473i | ||||
\(891\) | 4.65914 | − | 2.68996i | 0.156087 | − | 0.0901170i | ||||
\(892\) | −16.7647 | − | 4.49208i | −0.561323 | − | 0.150406i | ||||
\(893\) | −2.95350 | − | 5.11562i | −0.0988352 | − | 0.171188i | ||||
\(894\) | −2.98047 | + | 2.98047i | −0.0996817 | + | 0.0996817i | ||||
\(895\) | 43.8761 | + | 8.32384i | 1.46662 | + | 0.278235i | ||||
\(896\) | −1.43217 | − | 1.43217i | −0.0478454 | − | 0.0478454i | ||||
\(897\) | −71.7473 | + | 19.2246i | −2.39557 | + | 0.641892i | ||||
\(898\) | 15.1334 | − | 15.1334i | 0.505007 | − | 0.505007i | ||||
\(899\) | −18.2462 | −0.608546 | ||||||||
\(900\) | 18.8068 | + | 7.40217i | 0.626894 | + | 0.246739i | ||||
\(901\) | 0.559654 | − | 2.08866i | 0.0186448 | − | 0.0695832i | ||||
\(902\) | 9.82865 | 0.327258 | ||||||||
\(903\) | 11.7749 | + | 6.79825i | 0.391845 | + | 0.226232i | ||||
\(904\) | 4.26128 | + | 2.46025i | 0.141728 | + | 0.0818267i | ||||
\(905\) | 23.5015 | + | 11.3318i | 0.781216 | + | 0.376680i | ||||
\(906\) | 30.7796 | + | 8.24737i | 1.02258 | + | 0.274001i | ||||
\(907\) | −5.91862 | + | 3.41712i | −0.196525 | + | 0.113463i | −0.595033 | − | 0.803701i | \(-0.702861\pi\) |
0.398509 | + | 0.917164i | \(0.369528\pi\) | |||||||
\(908\) | −7.24577 | − | 4.18335i | −0.240459 | − | 0.138829i | ||||
\(909\) | 27.8417 | − | 48.2232i | 0.923450 | − | 1.59946i | ||||
\(910\) | −7.10870 | − | 20.3471i | −0.235651 | − | 0.674501i | ||||
\(911\) | 27.5788 | + | 27.5788i | 0.913726 | + | 0.913726i | 0.996563 | − | 0.0828368i | \(-0.0263980\pi\) |
−0.0828368 | + | 0.996563i | \(0.526398\pi\) | |||||||
\(912\) | −1.33013 | − | 2.30386i | −0.0440451 | − | 0.0762884i | ||||
\(913\) | 3.87618 | − | 1.03862i | 0.128283 | − | 0.0343733i | ||||
\(914\) | − | 16.0569i | − | 0.531114i | ||||||
\(915\) | −6.13828 | − | 82.4457i | −0.202925 | − | 2.72557i | ||||
\(916\) | −1.15819 | − | 0.668684i | −0.0382678 | − | 0.0220939i | ||||
\(917\) | 41.1403 | 1.35857 | ||||||||
\(918\) | −0.436555 | + | 1.62924i | −0.0144084 | + | 0.0537731i | ||||
\(919\) | −10.4313 | − | 10.4313i | −0.344098 | − | 0.344098i | 0.513808 | − | 0.857905i | \(-0.328235\pi\) |
−0.857905 | + | 0.513808i | \(0.828235\pi\) | |||||||
\(920\) | 10.8699 | − | 7.40323i | 0.358369 | − | 0.244077i | ||||
\(921\) | −35.9158 | − | 62.2080i | −1.18347 | − | 2.04982i | ||||
\(922\) | −2.48839 | + | 9.28681i | −0.0819509 | + | 0.305845i | ||||
\(923\) | −16.8749 | + | 29.2282i | −0.555444 | + | 0.962057i | ||||
\(924\) | −6.04039 | −0.198714 | ||||||||
\(925\) | −8.19546 | − | 29.2888i | −0.269465 | − | 0.963010i | ||||
\(926\) | 15.3434 | 0.504216 | ||||||||
\(927\) | 36.4270 | − | 63.0934i | 1.19642 | − | 2.07226i | ||||
\(928\) | −0.870063 | + | 3.24712i | −0.0285612 | + | 0.106592i | ||||
\(929\) | −2.69845 | − | 4.67386i | −0.0885333 | − | 0.153344i | 0.818358 | − | 0.574709i | \(-0.194885\pi\) |
−0.906891 | + | 0.421364i | \(0.861551\pi\) | |||||||
\(930\) | −26.6200 | + | 18.1303i | −0.872903 | + | 0.594516i | ||||
\(931\) | −2.05410 | − | 2.05410i | −0.0673205 | − | 0.0673205i | ||||
\(932\) | 0.673681 | − | 2.51421i | 0.0220672 | − | 0.0823558i | ||||
\(933\) | −15.6590 | −0.512653 | ||||||||
\(934\) | −3.41474 | − | 1.97150i | −0.111734 | − | 0.0645094i | ||||
\(935\) | −0.113787 | − | 1.52832i | −0.00372123 | − | 0.0499814i | ||||
\(936\) | − | 19.2370i | − | 0.628781i | ||||||
\(937\) | −33.8072 | + | 9.05860i | −1.10443 | + | 0.295932i | −0.764568 | − | 0.644543i | \(-0.777048\pi\) |
−0.339864 | + | 0.940475i | \(0.610381\pi\) | |||||||
\(938\) | −14.6947 | − | 25.4521i | −0.479801 | − | 0.831039i | ||||
\(939\) | −55.5548 | − | 55.5548i | −1.81296 | − | 1.81296i | ||||
\(940\) | 4.34572 | + | 12.4387i | 0.141742 | + | 0.405705i | ||||
\(941\) | −4.99991 | + | 8.66010i | −0.162992 | + | 0.282311i | −0.935941 | − | 0.352158i | \(-0.885448\pi\) |
0.772948 | + | 0.634469i | \(0.218781\pi\) | |||||||
\(942\) | 16.8185 | + | 9.71017i | 0.547976 | + | 0.316374i | ||||
\(943\) | 44.5465 | − | 25.7189i | 1.45063 | − | 0.837523i | ||||
\(944\) | 6.77090 | + | 1.81426i | 0.220374 | + | 0.0590490i | ||||
\(945\) | −11.2828 | − | 5.44024i | −0.367029 | − | 0.176971i | ||||
\(946\) | −2.46204 | − | 1.42146i | −0.0800479 | − | 0.0462157i | ||||
\(947\) | −25.6738 | − | 14.8228i | −0.834287 | − | 0.481676i | 0.0210312 | − | 0.999779i | \(-0.493305\pi\) |
−0.855318 | + | 0.518103i | \(0.826638\pi\) | |||||||
\(948\) | −12.3924 | −0.402486 | ||||||||
\(949\) | −14.2935 | + | 53.3442i | −0.463988 | + | 1.73163i | ||||
\(950\) | 1.99994 | + | 4.59606i | 0.0648866 | + | 0.149116i | ||||
\(951\) | 26.2119 | 0.849978 | ||||||||
\(952\) | −0.873419 | + | 0.873419i | −0.0283077 | + | 0.0283077i | ||||
\(953\) | −57.8810 | + | 15.5092i | −1.87495 | + | 0.502391i | −0.875119 | + | 0.483907i | \(0.839217\pi\) |
−0.999829 | + | 0.0184834i | \(0.994116\pi\) | |||||||
\(954\) | 10.1344 | + | 10.1344i | 0.328114 | + | 0.328114i | ||||
\(955\) | −41.9940 | − | 7.96677i | −1.35889 | − | 0.257799i | ||||
\(956\) | 14.9992 | − | 14.9992i | 0.485107 | − | 0.485107i | ||||
\(957\) | 5.01280 | + | 8.68242i | 0.162041 | + | 0.280663i | ||||
\(958\) | −14.2441 | − | 3.81670i | −0.460206 | − | 0.123312i | ||||
\(959\) | 10.3934 | − | 6.00066i | 0.335622 | − | 0.193771i | ||||
\(960\) | 1.95713 | + | 5.60185i | 0.0631660 | + | 0.180799i | ||||
\(961\) | 1.53967i | 0.0496668i | ||||||||
\(962\) | −23.0834 | + | 17.4683i | −0.744239 | + | 0.563201i | ||||
\(963\) | 8.16468 | − | 8.16468i | 0.263103 | − | 0.263103i | ||||
\(964\) | −7.93574 | + | 2.12638i | −0.255593 | + | 0.0684860i | ||||
\(965\) | −23.6903 | + | 16.1349i | −0.762617 | + | 0.519402i | ||||
\(966\) | −27.3769 | + | 15.8061i | −0.880837 | + | 0.508552i | ||||
\(967\) | −11.8792 | + | 6.85847i | −0.382010 | + | 0.220553i | −0.678692 | − | 0.734423i | \(-0.737453\pi\) |
0.296683 | + | 0.954976i | \(0.404120\pi\) | |||||||
\(968\) | −9.73700 | −0.312959 | ||||||||
\(969\) | −1.40503 | + | 0.811192i | −0.0451359 | + | 0.0260592i | ||||
\(970\) | −24.0928 | + | 1.79377i | −0.773574 | + | 0.0575944i | ||||
\(971\) | 13.3529 | − | 23.1279i | 0.428516 | − | 0.742211i | −0.568226 | − | 0.822873i | \(-0.692370\pi\) |
0.996742 | + | 0.0806615i | \(0.0257033\pi\) | |||||||
\(972\) | 14.8499 | + | 14.8499i | 0.476311 | + | 0.476311i | ||||
\(973\) | −15.9530 | − | 15.9530i | −0.511431 | − | 0.511431i | ||||
\(974\) | −35.1142 | − | 20.2732i | −1.12513 | − | 0.649595i | ||||
\(975\) | −7.13086 | + | 62.7415i | −0.228370 | + | 2.00934i | ||||
\(976\) | 9.85176 | − | 9.85176i | 0.315347 | − | 0.315347i | ||||
\(977\) | −9.32041 | + | 16.1434i | −0.298186 | + | 0.516474i | −0.975721 | − | 0.219017i | \(-0.929715\pi\) |
0.677535 | + | 0.735491i | \(0.263048\pi\) | |||||||
\(978\) | −2.86886 | − | 10.7067i | −0.0917360 | − | 0.342364i | ||||
\(979\) | 3.99343 | + | 14.9037i | 0.127631 | + | 0.476324i | ||||
\(980\) | 3.64752 | + | 5.35551i | 0.116516 | + | 0.171075i | ||||
\(981\) | 17.4709 | − | 65.2022i | 0.557802 | − | 2.08174i | ||||
\(982\) | −1.01352 | + | 1.75547i | −0.0323427 | + | 0.0560192i | ||||
\(983\) | 1.56521 | − | 0.419397i | 0.0499225 | − | 0.0133767i | −0.233771 | − | 0.972292i | \(-0.575107\pi\) |
0.283694 | + | 0.958915i | \(0.408440\pi\) | |||||||
\(984\) | 6.00681 | + | 22.4177i | 0.191490 | + | 0.714650i | ||||
\(985\) | 1.24319 | − | 1.44320i | 0.0396114 | − | 0.0459841i | ||||
\(986\) | 1.98028 | + | 0.530614i | 0.0630650 | + | 0.0168982i | ||||
\(987\) | −8.19704 | − | 30.5918i | −0.260915 | − | 0.973747i | ||||
\(988\) | 3.37344 | − | 3.37344i | 0.107323 | − | 0.107323i | ||||
\(989\) | −14.8783 | −0.473103 | ||||||||
\(990\) | 9.14986 | + | 4.41180i | 0.290802 | + | 0.140216i | ||||
\(991\) | −14.0976 | + | 14.0976i | −0.447824 | + | 0.447824i | −0.894630 | − | 0.446807i | \(-0.852561\pi\) |
0.446807 | + | 0.894630i | \(0.352561\pi\) | |||||||
\(992\) | −5.24279 | − | 1.40480i | −0.166459 | − | 0.0446025i | ||||
\(993\) | 14.2546i | 0.452357i | ||||||||
\(994\) | −3.71757 | + | 13.8742i | −0.117914 | + | 0.440061i | ||||
\(995\) | 35.0502 | + | 6.64944i | 1.11116 | + | 0.210802i | ||||
\(996\) | 4.73788 | + | 8.20625i | 0.150126 | + | 0.260025i | ||||
\(997\) | 15.2117 | + | 8.78251i | 0.481761 | + | 0.278145i | 0.721150 | − | 0.692779i | \(-0.243614\pi\) |
−0.239389 | + | 0.970924i | \(0.576947\pi\) | |||||||
\(998\) | 27.4226 | + | 27.4226i | 0.868049 | + | 0.868049i | ||||
\(999\) | −2.30748 | + | 16.6644i | −0.0730054 | + | 0.527240i |
(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 | 370.2.q.f.97.8 | ✓ | 32 | |
5.3 | odd | 4 | 370.2.r.f.23.8 | yes | 32 | ||
37.29 | odd | 12 | 370.2.r.f.177.8 | yes | 32 | ||
185.103 | even | 12 | inner | 370.2.q.f.103.8 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.8 | ✓ | 32 | 1.1 | even | 1 | trivial | |
370.2.q.f.103.8 | yes | 32 | 185.103 | even | 12 | inner | |
370.2.r.f.23.8 | yes | 32 | 5.3 | odd | 4 | ||
370.2.r.f.177.8 | yes | 32 | 37.29 | odd | 12 |