Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(64,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([13, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.v (of order \(26\), degree \(12\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(1056\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 389.57 | ||
Character | \(\chi\) | \(=\) | 845.389 |
Dual form | 845.2.v.a.454.57 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{19}{26}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.727878 | + | 0.644844i | 0.514688 | + | 0.455973i | 0.880043 | − | 0.474895i | \(-0.157514\pi\) |
−0.365355 | + | 0.930868i | \(0.619052\pi\) | |||||||
\(3\) | 1.28868 | + | 0.488731i | 0.744018 | + | 0.282169i | 0.697339 | − | 0.716741i | \(-0.254367\pi\) |
0.0466788 | + | 0.998910i | \(0.485136\pi\) | |||||||
\(4\) | −0.127090 | − | 1.04668i | −0.0635451 | − | 0.523341i | ||||
\(5\) | −1.36797 | − | 1.76880i | −0.611775 | − | 0.791032i | ||||
\(6\) | 0.622845 | + | 1.18673i | 0.254275 | + | 0.484481i | ||||
\(7\) | −2.63622 | + | 3.81922i | −0.996398 | + | 1.44353i | −0.102779 | + | 0.994704i | \(0.532773\pi\) |
−0.893619 | + | 0.448827i | \(0.851842\pi\) | |||||||
\(8\) | 1.68725 | − | 2.44441i | 0.596534 | − | 0.864229i | ||||
\(9\) | −0.823701 | − | 0.729735i | −0.274567 | − | 0.243245i | ||||
\(10\) | 0.144884 | − | 2.16960i | 0.0458164 | − | 0.686088i | ||||
\(11\) | −3.20587 | − | 3.61868i | −0.966606 | − | 1.09107i | −0.995805 | − | 0.0914989i | \(-0.970834\pi\) |
0.0291993 | − | 0.999574i | \(-0.490704\pi\) | |||||||
\(12\) | 0.347768 | − | 1.41095i | 0.100392 | − | 0.407306i | ||||
\(13\) | 2.15749 | − | 2.88881i | 0.598381 | − | 0.801212i | ||||
\(14\) | −4.38165 | + | 1.07998i | −1.17105 | + | 0.288637i | ||||
\(15\) | −0.898405 | − | 2.94798i | −0.231967 | − | 0.761166i | ||||
\(16\) | 0.756913 | − | 0.186562i | 0.189228 | − | 0.0466406i | ||||
\(17\) | −3.62586 | − | 2.50275i | −0.879401 | − | 0.607006i | 0.0404906 | − | 0.999180i | \(-0.487108\pi\) |
−0.919891 | + | 0.392173i | \(0.871723\pi\) | |||||||
\(18\) | −0.128989 | − | 1.06232i | −0.0304029 | − | 0.250390i | ||||
\(19\) | − | 6.04293i | − | 1.38634i | −0.720772 | − | 0.693172i | \(-0.756213\pi\) | ||
0.720772 | − | 0.693172i | \(-0.243787\pi\) | |||||||
\(20\) | −1.67752 | + | 1.65663i | −0.375104 | + | 0.370433i | ||||
\(21\) | −5.26381 | + | 3.63335i | −1.14866 | + | 0.792861i | ||||
\(22\) | − | 4.70124i | − | 1.00231i | ||||||
\(23\) | 6.18896i | 1.29049i | 0.763977 | + | 0.645244i | \(0.223244\pi\) | ||||
−0.763977 | + | 0.645244i | \(0.776756\pi\) | |||||||
\(24\) | 3.36898 | − | 2.32544i | 0.687691 | − | 0.474678i | ||||
\(25\) | −1.25731 | + | 4.83934i | −0.251463 | + | 0.967867i | ||||
\(26\) | 3.43322 | − | 0.711455i | 0.673311 | − | 0.139528i | ||||
\(27\) | −2.62634 | − | 5.00408i | −0.505440 | − | 0.963035i | ||||
\(28\) | 4.33255 | + | 2.27390i | 0.818775 | + | 0.429726i | ||||
\(29\) | 6.73020 | + | 5.96244i | 1.24977 | + | 1.10720i | 0.989932 | + | 0.141544i | \(0.0452068\pi\) |
0.259836 | + | 0.965653i | \(0.416332\pi\) | |||||||
\(30\) | 1.24706 | − | 2.72510i | 0.227681 | − | 0.497534i | ||||
\(31\) | −0.754668 | − | 1.43790i | −0.135542 | − | 0.258254i | 0.808219 | − | 0.588882i | \(-0.200432\pi\) |
−0.943761 | + | 0.330628i | \(0.892740\pi\) | |||||||
\(32\) | −4.58868 | − | 2.40832i | −0.811171 | − | 0.425736i | ||||
\(33\) | −2.36277 | − | 6.23012i | −0.411306 | − | 1.08452i | ||||
\(34\) | −1.02530 | − | 4.15981i | −0.175838 | − | 0.713402i | ||||
\(35\) | 10.3617 | − | 0.561638i | 1.75145 | − | 0.0949342i | ||||
\(36\) | −0.659116 | + | 0.954895i | −0.109853 | + | 0.159149i | ||||
\(37\) | 4.72857 | − | 2.48174i | 0.777372 | − | 0.407996i | −0.0288695 | − | 0.999583i | \(-0.509191\pi\) |
0.806241 | + | 0.591587i | \(0.201498\pi\) | |||||||
\(38\) | 3.89675 | − | 4.39852i | 0.632136 | − | 0.713534i | ||||
\(39\) | 4.19216 | − | 2.66831i | 0.671283 | − | 0.427271i | ||||
\(40\) | −6.63178 | + | 0.359464i | −1.04858 | + | 0.0568362i | ||||
\(41\) | 1.27616 | + | 0.483985i | 0.199303 | + | 0.0755858i | 0.452237 | − | 0.891898i | \(-0.350626\pi\) |
−0.252934 | + | 0.967484i | \(0.581395\pi\) | |||||||
\(42\) | −6.17435 | − | 0.749702i | −0.952724 | − | 0.115682i | ||||
\(43\) | 2.13085 | − | 4.05999i | 0.324951 | − | 0.619143i | −0.667101 | − | 0.744967i | \(-0.732465\pi\) |
0.992053 | + | 0.125824i | \(0.0401575\pi\) | |||||||
\(44\) | −3.38017 | + | 3.81542i | −0.509580 | + | 0.575197i | ||||
\(45\) | −0.163958 | + | 2.45522i | −0.0244414 | + | 0.366002i | ||||
\(46\) | −3.99091 | + | 4.50481i | −0.588428 | + | 0.664198i | ||||
\(47\) | −0.359715 | + | 2.96252i | −0.0524699 | + | 0.432128i | 0.942675 | + | 0.333711i | \(0.108301\pi\) |
−0.995145 | + | 0.0984171i | \(0.968622\pi\) | |||||||
\(48\) | 1.06660 | + | 0.129508i | 0.153950 | + | 0.0186929i | ||||
\(49\) | −5.15459 | − | 13.5915i | −0.736369 | − | 1.94165i | ||||
\(50\) | −4.03579 | + | 2.71168i | −0.570746 | + | 0.383489i | ||||
\(51\) | −3.44939 | − | 4.99731i | −0.483012 | − | 0.699763i | ||||
\(52\) | −3.29786 | − | 1.89107i | −0.457331 | − | 0.262244i | ||||
\(53\) | 0.497381 | + | 0.343317i | 0.0683206 | + | 0.0471583i | 0.601735 | − | 0.798695i | \(-0.294476\pi\) |
−0.533415 | + | 0.845854i | \(0.679092\pi\) | |||||||
\(54\) | 1.31519 | − | 5.33594i | 0.178975 | − | 0.726129i | ||||
\(55\) | −2.01519 | + | 10.6208i | −0.271728 | + | 1.43211i | ||||
\(56\) | 4.88777 | + | 12.8880i | 0.653156 | + | 1.72223i | ||||
\(57\) | 2.95337 | − | 7.78739i | 0.391183 | − | 1.03146i | ||||
\(58\) | 1.05393 | + | 8.67986i | 0.138387 | + | 1.13972i | ||||
\(59\) | −2.01226 | + | 8.16405i | −0.261974 | + | 1.06287i | 0.681605 | + | 0.731720i | \(0.261282\pi\) |
−0.943579 | + | 0.331148i | \(0.892564\pi\) | |||||||
\(60\) | −2.97142 | + | 1.31500i | −0.383609 | + | 0.169766i | ||||
\(61\) | −0.297961 | − | 0.431671i | −0.0381500 | − | 0.0552698i | 0.803445 | − | 0.595379i | \(-0.202998\pi\) |
−0.841595 | + | 0.540109i | \(0.818383\pi\) | |||||||
\(62\) | 0.377914 | − | 1.53326i | 0.0479952 | − | 0.194724i | ||||
\(63\) | 4.95848 | − | 1.22216i | 0.624710 | − | 0.153977i | ||||
\(64\) | −2.33988 | − | 6.16976i | −0.292485 | − | 0.771220i | ||||
\(65\) | −8.06112 | + | 0.135629i | −0.999858 | + | 0.0168227i | ||||
\(66\) | 2.29764 | − | 6.05838i | 0.282820 | − | 0.745736i | ||||
\(67\) | 0.233368 | − | 1.92196i | 0.0285105 | − | 0.234805i | −0.971487 | − | 0.237093i | \(-0.923805\pi\) |
0.999997 | + | 0.00228838i | \(0.000728415\pi\) | |||||||
\(68\) | −2.15877 | + | 4.11320i | −0.261790 | + | 0.498799i | ||||
\(69\) | −3.02474 | + | 7.97557i | −0.364135 | + | 0.960146i | ||||
\(70\) | 7.90424 | + | 6.27289i | 0.944737 | + | 0.749753i | ||||
\(71\) | −5.27072 | − | 1.99892i | −0.625519 | − | 0.237228i | 0.0214189 | − | 0.999771i | \(-0.493182\pi\) |
−0.646938 | + | 0.762542i | \(0.723951\pi\) | |||||||
\(72\) | −3.17356 | + | 0.782213i | −0.374008 | + | 0.0921847i | ||||
\(73\) | 3.49882 | − | 3.09968i | 0.409506 | − | 0.362790i | −0.433078 | − | 0.901357i | \(-0.642572\pi\) |
0.842583 | + | 0.538566i | \(0.181034\pi\) | |||||||
\(74\) | 5.04216 | + | 1.24278i | 0.586139 | + | 0.144470i | ||||
\(75\) | −3.98540 | + | 5.62185i | −0.460195 | + | 0.649156i | ||||
\(76\) | −6.32503 | + | 0.767997i | −0.725530 | + | 0.0880953i | ||||
\(77\) | 22.2719 | − | 2.70430i | 2.53812 | − | 0.308184i | ||||
\(78\) | 4.77203 | + | 0.761087i | 0.540326 | + | 0.0861761i | ||||
\(79\) | −0.0512912 | + | 0.422421i | −0.00577071 | + | 0.0475260i | −0.995310 | − | 0.0967391i | \(-0.969159\pi\) |
0.989539 | + | 0.144265i | \(0.0460818\pi\) | |||||||
\(80\) | −1.36543 | − | 1.08362i | −0.152659 | − | 0.121152i | ||||
\(81\) | −0.540926 | − | 4.45492i | −0.0601029 | − | 0.494992i | ||||
\(82\) | 0.616797 | + | 1.17521i | 0.0681138 | + | 0.129780i | ||||
\(83\) | −5.37500 | − | 14.1727i | −0.589983 | − | 1.55566i | −0.813874 | − | 0.581042i | \(-0.802645\pi\) |
0.223891 | − | 0.974614i | \(-0.428124\pi\) | |||||||
\(84\) | 4.47194 | + | 5.04777i | 0.487928 | + | 0.550757i | ||||
\(85\) | 0.533203 | + | 9.83712i | 0.0578340 | + | 1.06699i | ||||
\(86\) | 4.16906 | − | 1.58112i | 0.449561 | − | 0.170496i | ||||
\(87\) | 5.75903 | + | 10.9729i | 0.617433 | + | 1.17642i | ||||
\(88\) | −14.2546 | + | 1.73083i | −1.51955 | + | 0.184507i | ||||
\(89\) | − | 6.64214i | − | 0.704065i | −0.935988 | − | 0.352033i | \(-0.885491\pi\) | ||
0.935988 | − | 0.352033i | \(-0.114509\pi\) | |||||||
\(90\) | −1.70257 | + | 1.68137i | −0.179467 | + | 0.177232i | ||||
\(91\) | 5.34538 | + | 15.8555i | 0.560348 | + | 1.66211i | ||||
\(92\) | 6.47787 | − | 0.786556i | 0.675365 | − | 0.0820042i | ||||
\(93\) | −0.269778 | − | 2.22182i | −0.0279746 | − | 0.230392i | ||||
\(94\) | −2.17219 | + | 1.92440i | −0.224045 | + | 0.198486i | ||||
\(95\) | −10.6887 | + | 8.26655i | −1.09664 | + | 0.848130i | ||||
\(96\) | −4.73630 | − | 5.34618i | −0.483397 | − | 0.545642i | ||||
\(97\) | 9.05783 | − | 2.23256i | 0.919683 | − | 0.226682i | 0.249067 | − | 0.968486i | \(-0.419876\pi\) |
0.670616 | + | 0.741805i | \(0.266030\pi\) | |||||||
\(98\) | 5.01250 | − | 13.2169i | 0.506339 | − | 1.33511i | ||||
\(99\) | 5.32014i | 0.534695i | ||||||||
\(100\) | 5.22504 | + | 0.700975i | 0.522504 | + | 0.0700975i | ||||
\(101\) | 7.70474 | + | 4.04376i | 0.766650 | + | 0.402369i | 0.802243 | − | 0.596997i | \(-0.203640\pi\) |
−0.0355932 | + | 0.999366i | \(0.511332\pi\) | |||||||
\(102\) | 0.711746 | − | 5.86175i | 0.0704733 | − | 0.580400i | ||||
\(103\) | −13.7809 | − | 5.22642i | −1.35788 | − | 0.514975i | −0.435125 | − | 0.900370i | \(-0.643296\pi\) |
−0.922751 | + | 0.385395i | \(0.874065\pi\) | |||||||
\(104\) | −3.42119 | − | 10.1479i | −0.335475 | − | 0.995088i | ||||
\(105\) | 13.6274 | + | 4.34032i | 1.32990 | + | 0.423572i | ||||
\(106\) | 0.140647 | + | 0.570627i | 0.0136608 | + | 0.0554241i | ||||
\(107\) | −4.57215 | + | 18.5499i | −0.442006 | + | 1.79329i | 0.151498 | + | 0.988458i | \(0.451590\pi\) |
−0.593504 | + | 0.804831i | \(0.702256\pi\) | |||||||
\(108\) | −4.90389 | + | 3.38491i | −0.471877 | + | 0.325713i | ||||
\(109\) | 6.66339 | − | 12.6960i | 0.638237 | − | 1.21606i | −0.324568 | − | 0.945862i | \(-0.605219\pi\) |
0.962805 | − | 0.270197i | \(-0.0870887\pi\) | |||||||
\(110\) | −8.31556 | + | 6.43116i | −0.792858 | + | 0.613187i | ||||
\(111\) | 7.30650 | − | 0.887170i | 0.693502 | − | 0.0842064i | ||||
\(112\) | −1.28287 | + | 3.38264i | −0.121219 | + | 0.319629i | ||||
\(113\) | 2.05461 | − | 0.779212i | 0.193282 | − | 0.0733021i | −0.256065 | − | 0.966660i | \(-0.582426\pi\) |
0.449347 | + | 0.893357i | \(0.351657\pi\) | |||||||
\(114\) | 7.17134 | − | 3.76381i | 0.671658 | − | 0.352513i | ||||
\(115\) | 10.9470 | − | 8.46632i | 1.02082 | − | 0.789488i | ||||
\(116\) | 5.38544 | − | 7.80215i | 0.500025 | − | 0.724412i | ||||
\(117\) | −3.88520 | + | 0.805115i | −0.359186 | + | 0.0744329i | ||||
\(118\) | −6.72921 | + | 4.64484i | −0.619474 | + | 0.427592i | ||||
\(119\) | 19.1171 | − | 7.25018i | 1.75247 | − | 0.664623i | ||||
\(120\) | −8.72191 | − | 2.77792i | −0.796198 | − | 0.253589i | ||||
\(121\) | −1.49133 | + | 12.2822i | −0.135576 | + | 1.11657i | ||||
\(122\) | 0.0614811 | − | 0.506343i | 0.00556624 | − | 0.0458421i | ||||
\(123\) | 1.40802 | + | 1.24740i | 0.126957 | + | 0.112474i | ||||
\(124\) | −1.40911 | + | 0.972640i | −0.126542 | + | 0.0873457i | ||||
\(125\) | 10.2798 | − | 4.39613i | 0.919452 | − | 0.393202i | ||||
\(126\) | 4.39727 | + | 2.30786i | 0.391740 | + | 0.205601i | ||||
\(127\) | 11.1913 | + | 1.35888i | 0.993072 | + | 0.120581i | 0.600911 | − | 0.799316i | \(-0.294805\pi\) |
0.392161 | + | 0.919897i | \(0.371728\pi\) | |||||||
\(128\) | −1.39994 | + | 3.69133i | −0.123738 | + | 0.326271i | ||||
\(129\) | 4.73022 | − | 4.19061i | 0.416472 | − | 0.368962i | ||||
\(130\) | −5.95497 | − | 5.09944i | −0.522286 | − | 0.447251i | ||||
\(131\) | 11.5384 | + | 10.2221i | 1.00812 | + | 0.893112i | 0.994281 | − | 0.106792i | \(-0.0340579\pi\) |
0.0138340 | + | 0.999904i | \(0.495596\pi\) | |||||||
\(132\) | −6.22066 | + | 3.26486i | −0.541439 | + | 0.284169i | ||||
\(133\) | 23.0793 | + | 15.9305i | 2.00123 | + | 1.38135i | ||||
\(134\) | 1.40923 | − | 1.24847i | 0.121739 | − | 0.107851i | ||||
\(135\) | −5.25846 | + | 11.4909i | −0.452576 | + | 0.988979i | ||||
\(136\) | −12.2355 | + | 4.64031i | −1.04918 | + | 0.397903i | ||||
\(137\) | 16.8400 | + | 8.83830i | 1.43874 | + | 0.755107i | 0.990331 | − | 0.138724i | \(-0.0443002\pi\) |
0.448404 | + | 0.893831i | \(0.351992\pi\) | |||||||
\(138\) | −7.34464 | + | 3.85476i | −0.625217 | + | 0.328139i | ||||
\(139\) | −5.76261 | + | 1.42036i | −0.488778 | + | 0.120473i | −0.476000 | − | 0.879445i | \(-0.657914\pi\) |
−0.0127783 | + | 0.999918i | \(0.504068\pi\) | |||||||
\(140\) | −1.90473 | − | 10.7740i | −0.160979 | − | 0.910573i | ||||
\(141\) | −1.91143 | + | 3.64193i | −0.160972 | + | 0.306706i | ||||
\(142\) | −2.54745 | − | 4.85376i | −0.213777 | − | 0.407319i | ||||
\(143\) | −17.3703 | + | 1.45387i | −1.45258 | + | 0.121579i | ||||
\(144\) | −0.759611 | − | 0.398675i | −0.0633009 | − | 0.0332229i | ||||
\(145\) | 1.33965 | − | 20.0608i | 0.111252 | − | 1.66596i | ||||
\(146\) | 4.54552 | 0.376190 | ||||||||
\(147\) | − | 20.0343i | − | 1.65240i | ||||||
\(148\) | −3.19855 | − | 4.63390i | −0.262919 | − | 0.380904i | ||||
\(149\) | −0.0754192 | − | 0.00915754i | −0.00617858 | − | 0.000750215i | 0.117447 | − | 0.993079i | \(-0.462529\pi\) |
−0.123625 | + | 0.992329i | \(0.539452\pi\) | |||||||
\(150\) | −6.52611 | + | 1.52206i | −0.532854 | + | 0.124276i | ||||
\(151\) | −10.9360 | + | 1.32787i | −0.889957 | + | 0.108060i | −0.552727 | − | 0.833362i | \(-0.686413\pi\) |
−0.337230 | + | 0.941422i | \(0.609490\pi\) | |||||||
\(152\) | −14.7714 | − | 10.1960i | −1.19812 | − | 0.827001i | ||||
\(153\) | 1.16028 | + | 4.70744i | 0.0938030 | + | 0.380574i | ||||
\(154\) | 17.9551 | + | 12.3935i | 1.44686 | + | 0.998698i | ||||
\(155\) | −1.51099 | + | 3.30186i | −0.121366 | + | 0.265212i | ||||
\(156\) | −3.32565 | − | 4.04875i | −0.266265 | − | 0.324159i | ||||
\(157\) | −0.199161 | + | 0.808027i | −0.0158948 | + | 0.0644876i | −0.978354 | − | 0.206940i | \(-0.933650\pi\) |
0.962459 | + | 0.271427i | \(0.0874957\pi\) | |||||||
\(158\) | −0.309729 | + | 0.274396i | −0.0246407 | + | 0.0218298i | ||||
\(159\) | 0.473174 | + | 0.685511i | 0.0375251 | + | 0.0543646i | ||||
\(160\) | 2.01733 | + | 11.4110i | 0.159484 | + | 0.902117i | ||||
\(161\) | −23.6370 | − | 16.3155i | −1.86286 | − | 1.28584i | ||||
\(162\) | 2.47900 | − | 3.59146i | 0.194769 | − | 0.282171i | ||||
\(163\) | 1.53804 | − | 0.807228i | 0.120469 | − | 0.0632269i | −0.403412 | − | 0.915018i | \(-0.632176\pi\) |
0.523881 | + | 0.851791i | \(0.324484\pi\) | |||||||
\(164\) | 0.344391 | − | 1.39725i | 0.0268924 | − | 0.109107i | ||||
\(165\) | −7.78763 | + | 12.7019i | −0.606266 | + | 0.988841i | ||||
\(166\) | 5.22684 | − | 13.7820i | 0.405681 | − | 1.06969i | ||||
\(167\) | −11.2986 | − | 10.0097i | −0.874313 | − | 0.774574i | 0.101119 | − | 0.994874i | \(-0.467758\pi\) |
−0.975432 | + | 0.220300i | \(0.929296\pi\) | |||||||
\(168\) | 18.9973i | 1.46567i | ||||||||
\(169\) | −3.69044 | − | 12.4652i | −0.283880 | − | 0.958860i | ||||
\(170\) | −5.95530 | + | 7.50406i | −0.456751 | + | 0.575535i | ||||
\(171\) | −4.40974 | + | 4.97757i | −0.337221 | + | 0.380644i | ||||
\(172\) | −4.52033 | − | 1.71433i | −0.344672 | − | 0.130717i | ||||
\(173\) | 0.173257 | − | 0.0210372i | 0.0131725 | − | 0.00159943i | −0.113948 | − | 0.993487i | \(-0.536350\pi\) |
0.127120 | + | 0.991887i | \(0.459427\pi\) | |||||||
\(174\) | −2.88395 | + | 11.7006i | −0.218631 | + | 0.887022i | ||||
\(175\) | −15.1680 | − | 17.5595i | −1.14659 | − | 1.32737i | ||||
\(176\) | −3.10167 | − | 2.14093i | −0.233797 | − | 0.161379i | ||||
\(177\) | −6.58317 | + | 9.53737i | −0.494822 | + | 0.716873i | ||||
\(178\) | 4.28314 | − | 4.83467i | 0.321035 | − | 0.362374i | ||||
\(179\) | −4.01402 | − | 5.81531i | −0.300022 | − | 0.434657i | 0.643759 | − | 0.765228i | \(-0.277374\pi\) |
−0.943781 | + | 0.330572i | \(0.892758\pi\) | |||||||
\(180\) | 2.59067 | − | 0.140423i | 0.193097 | − | 0.0104665i | ||||
\(181\) | 16.3464 | + | 4.02902i | 1.21502 | + | 0.299475i | 0.794191 | − | 0.607668i | \(-0.207895\pi\) |
0.420824 | + | 0.907142i | \(0.361741\pi\) | |||||||
\(182\) | −6.33353 | + | 14.9878i | −0.469473 | + | 1.11097i | ||||
\(183\) | −0.173005 | − | 0.701908i | −0.0127889 | − | 0.0518865i | ||||
\(184\) | 15.1283 | + | 10.4423i | 1.11528 | + | 0.769820i | ||||
\(185\) | −10.8582 | − | 4.96894i | −0.798314 | − | 0.365324i | ||||
\(186\) | 1.23636 | − | 1.79118i | 0.0906543 | − | 0.131335i | ||||
\(187\) | 2.56739 | + | 21.1443i | 0.187746 | + | 1.54623i | ||||
\(188\) | 3.14653 | 0.229485 | ||||||||
\(189\) | 26.0353 | + | 3.16126i | 1.89379 | + | 0.229948i | ||||
\(190\) | −13.1107 | − | 0.875526i | −0.951153 | − | 0.0635173i | ||||
\(191\) | −14.8173 | −1.07214 | −0.536070 | − | 0.844174i | \(-0.680092\pi\) | ||||
−0.536070 | + | 0.844174i | \(0.680092\pi\) | |||||||
\(192\) | − | 9.09440i | − | 0.656332i | ||||||
\(193\) | 4.27784 | + | 6.19753i | 0.307926 | + | 0.446108i | 0.946143 | − | 0.323749i | \(-0.104943\pi\) |
−0.638217 | + | 0.769856i | \(0.720328\pi\) | |||||||
\(194\) | 8.03265 | + | 4.21586i | 0.576711 | + | 0.302681i | ||||
\(195\) | −10.4545 | − | 3.76493i | −0.748660 | − | 0.269613i | ||||
\(196\) | −13.5709 | + | 7.12256i | −0.969350 | + | 0.508754i | ||||
\(197\) | −22.2216 | − | 11.6628i | −1.58322 | − | 0.830939i | −0.999824 | − | 0.0187532i | \(-0.994030\pi\) |
−0.583398 | − | 0.812186i | \(-0.698277\pi\) | |||||||
\(198\) | −3.43066 | + | 3.87242i | −0.243807 | + | 0.275201i | ||||
\(199\) | 18.0071 | − | 4.43835i | 1.27649 | − | 0.314626i | 0.457898 | − | 0.889005i | \(-0.348602\pi\) |
0.818590 | + | 0.574378i | \(0.194756\pi\) | |||||||
\(200\) | 9.70790 | + | 11.2386i | 0.686452 | + | 0.794687i | ||||
\(201\) | 1.24006 | − | 2.36273i | 0.0874669 | − | 0.166654i | ||||
\(202\) | 3.00052 | + | 7.91172i | 0.211116 | + | 0.556666i | ||||
\(203\) | −40.5142 | + | 9.98585i | −2.84354 | + | 0.700870i | ||||
\(204\) | −4.79221 | + | 4.24553i | −0.335522 | + | 0.297246i | ||||
\(205\) | −0.889681 | − | 2.91936i | −0.0621380 | − | 0.203897i | ||||
\(206\) | −6.66062 | − | 12.6908i | −0.464067 | − | 0.884207i | ||||
\(207\) | 4.51630 | − | 5.09785i | 0.313905 | − | 0.354325i | ||||
\(208\) | 1.09409 | − | 2.58908i | 0.0758617 | − | 0.179521i | ||||
\(209\) | −21.8674 | + | 19.3728i | −1.51260 | + | 1.34005i | ||||
\(210\) | 7.12026 | + | 11.9468i | 0.491345 | + | 0.824406i | ||||
\(211\) | 0.325428 | − | 2.68014i | 0.0224034 | − | 0.184508i | −0.977211 | − | 0.212269i | \(-0.931915\pi\) |
0.999615 | + | 0.0277608i | \(0.00883768\pi\) | |||||||
\(212\) | 0.296132 | − | 0.564232i | 0.0203384 | − | 0.0387516i | ||||
\(213\) | −5.81532 | − | 5.15193i | −0.398459 | − | 0.353004i | ||||
\(214\) | −15.2898 | + | 10.5538i | −1.04519 | + | 0.721441i | ||||
\(215\) | −10.0963 | + | 1.78490i | −0.688559 | + | 0.121729i | ||||
\(216\) | −16.6633 | − | 2.02329i | −1.13379 | − | 0.137668i | ||||
\(217\) | 7.48113 | + | 0.908374i | 0.507852 | + | 0.0616644i | ||||
\(218\) | 13.0371 | − | 4.94432i | 0.882983 | − | 0.334871i | ||||
\(219\) | 6.02376 | − | 2.28451i | 0.407048 | − | 0.154373i | ||||
\(220\) | 11.3727 | + | 0.759461i | 0.766747 | + | 0.0512028i | ||||
\(221\) | −15.0527 | + | 5.07475i | −1.01256 | + | 0.341365i | ||||
\(222\) | 5.89033 | + | 4.06580i | 0.395333 | + | 0.272879i | ||||
\(223\) | 27.3388 | + | 6.73841i | 1.83074 | + | 0.451237i | 0.995172 | − | 0.0981472i | \(-0.0312916\pi\) |
0.835570 | + | 0.549384i | \(0.185138\pi\) | |||||||
\(224\) | 21.2947 | − | 11.1763i | 1.42281 | − | 0.746749i | ||||
\(225\) | 4.56708 | − | 3.06866i | 0.304472 | − | 0.204577i | ||||
\(226\) | 1.99798 | + | 0.757734i | 0.132904 | + | 0.0504037i | ||||
\(227\) | 1.52530 | + | 12.5620i | 0.101238 | + | 0.833768i | 0.951551 | + | 0.307491i | \(0.0994894\pi\) |
−0.850313 | + | 0.526277i | \(0.823588\pi\) | |||||||
\(228\) | −8.52626 | − | 2.10154i | −0.564666 | − | 0.139178i | ||||
\(229\) | 6.94175 | − | 13.2264i | 0.458724 | − | 0.874026i | −0.540737 | − | 0.841192i | \(-0.681854\pi\) |
0.999461 | − | 0.0328338i | \(-0.0104532\pi\) | |||||||
\(230\) | 13.4276 | + | 0.896683i | 0.885387 | + | 0.0591256i | ||||
\(231\) | 30.0230 | + | 7.40000i | 1.97537 | + | 0.486885i | ||||
\(232\) | 25.9302 | − | 6.39122i | 1.70240 | − | 0.419604i | ||||
\(233\) | −15.9846 | + | 6.06217i | −1.04719 | + | 0.397146i | −0.817385 | − | 0.576092i | \(-0.804577\pi\) |
−0.229802 | + | 0.973237i | \(0.573808\pi\) | |||||||
\(234\) | −3.34712 | − | 1.91932i | −0.218808 | − | 0.125470i | ||||
\(235\) | 5.73219 | − | 3.41638i | 0.373927 | − | 0.222860i | ||||
\(236\) | 8.80090 | + | 1.06862i | 0.572890 | + | 0.0695614i | ||||
\(237\) | −0.272548 | + | 0.519296i | −0.0177039 | + | 0.0337319i | ||||
\(238\) | 18.5902 | + | 7.05033i | 1.20502 | + | 0.457005i | ||||
\(239\) | − | 26.9535i | − | 1.74348i | −0.489972 | − | 0.871738i | \(-0.662993\pi\) | ||
0.489972 | − | 0.871738i | \(-0.337007\pi\) | |||||||
\(240\) | −1.23000 | − | 2.06376i | −0.0793960 | − | 0.133215i | ||||
\(241\) | −4.08437 | − | 16.5709i | −0.263097 | − | 1.06743i | −0.942645 | − | 0.333796i | \(-0.891670\pi\) |
0.679548 | − | 0.733631i | \(-0.262176\pi\) | |||||||
\(242\) | −9.00562 | + | 7.97828i | −0.578903 | + | 0.512864i | ||||
\(243\) | −2.57723 | + | 10.4562i | −0.165330 | + | 0.670768i | ||||
\(244\) | −0.413955 | + | 0.366732i | −0.0265007 | + | 0.0234776i | ||||
\(245\) | −16.9894 | + | 27.7102i | −1.08541 | + | 1.77034i | ||||
\(246\) | 0.220492 | + | 1.81591i | 0.0140580 | + | 0.115778i | ||||
\(247\) | −17.4569 | − | 13.0376i | −1.11075 | − | 0.829562i | ||||
\(248\) | −4.78813 | − | 0.581384i | −0.304046 | − | 0.0369179i | ||||
\(249\) | − | 20.8910i | − | 1.32391i | ||||||
\(250\) | 10.3173 | + | 3.42901i | 0.652520 | + | 0.216870i | ||||
\(251\) | 22.1665 | − | 11.6339i | 1.39914 | − | 0.734324i | 0.414683 | − | 0.909966i | \(-0.363893\pi\) |
0.984454 | + | 0.175643i | \(0.0562003\pi\) | |||||||
\(252\) | −1.90938 | − | 5.03463i | −0.120280 | − | 0.317152i | ||||
\(253\) | 22.3959 | − | 19.8410i | 1.40802 | − | 1.24739i | ||||
\(254\) | 7.26968 | + | 8.20577i | 0.456140 | + | 0.514876i | ||||
\(255\) | −4.12058 | + | 12.9375i | −0.258041 | + | 0.810175i | ||||
\(256\) | −15.0848 | + | 7.91711i | −0.942799 | + | 0.494819i | ||||
\(257\) | −1.21465 | + | 0.147486i | −0.0757680 | + | 0.00919990i | −0.158333 | − | 0.987386i | \(-0.550612\pi\) |
0.0825649 | + | 0.996586i | \(0.473689\pi\) | |||||||
\(258\) | 6.14531 | 0.382590 | ||||||||
\(259\) | −2.98721 | + | 24.6019i | −0.185616 | + | 1.52869i | ||||
\(260\) | 1.16645 | + | 8.42019i | 0.0723401 | + | 0.522198i | ||||
\(261\) | −1.19267 | − | 9.82253i | −0.0738245 | − | 0.608000i | ||||
\(262\) | 1.80687 | + | 14.8809i | 0.111629 | + | 0.919348i | ||||
\(263\) | −9.73721 | − | 10.9910i | −0.600422 | − | 0.677736i | 0.367200 | − | 0.930142i | \(-0.380317\pi\) |
−0.967621 | + | 0.252406i | \(0.918778\pi\) | |||||||
\(264\) | −19.2155 | − | 4.73620i | −1.18263 | − | 0.291493i | ||||
\(265\) | −0.0731427 | − | 1.34942i | −0.00449312 | − | 0.0828940i | ||||
\(266\) | 6.52625 | + | 26.4780i | 0.400150 | + | 1.62347i | ||||
\(267\) | 3.24622 | − | 8.55957i | 0.198665 | − | 0.523837i | ||||
\(268\) | −2.04134 | −0.124695 | ||||||||
\(269\) | −2.84941 | + | 7.51327i | −0.173731 | + | 0.458092i | −0.993394 | − | 0.114755i | \(-0.963392\pi\) |
0.819662 | + | 0.572847i | \(0.194161\pi\) | |||||||
\(270\) | −11.2374 | + | 4.97310i | −0.683884 | + | 0.302653i | ||||
\(271\) | −8.45186 | − | 1.02624i | −0.513414 | − | 0.0623397i | −0.140270 | − | 0.990113i | \(-0.544797\pi\) |
−0.373144 | + | 0.927774i | \(0.621720\pi\) | |||||||
\(272\) | −3.21138 | − | 1.21792i | −0.194719 | − | 0.0738470i | ||||
\(273\) | −0.860596 | + | 23.0451i | −0.0520856 | + | 1.39475i | ||||
\(274\) | 6.55812 | + | 17.2924i | 0.396191 | + | 1.04467i | ||||
\(275\) | 21.5428 | − | 10.9645i | 1.29908 | − | 0.661182i | ||||
\(276\) | 8.73230 | + | 2.15232i | 0.525623 | + | 0.129554i | ||||
\(277\) | 10.6303 | − | 7.33756i | 0.638713 | − | 0.440871i | −0.204195 | − | 0.978930i | \(-0.565458\pi\) |
0.842907 | + | 0.538059i | \(0.180842\pi\) | |||||||
\(278\) | −5.11039 | − | 2.68214i | −0.306501 | − | 0.160864i | ||||
\(279\) | −0.427665 | + | 1.73511i | −0.0256037 | + | 0.103878i | ||||
\(280\) | 16.1100 | − | 26.2759i | 0.962755 | − | 1.57028i | ||||
\(281\) | 21.7987 | + | 8.26715i | 1.30040 | + | 0.493177i | 0.905031 | − | 0.425346i | \(-0.139848\pi\) |
0.395369 | + | 0.918522i | \(0.370617\pi\) | |||||||
\(282\) | −3.73977 | + | 1.41831i | −0.222700 | + | 0.0844589i | ||||
\(283\) | 0.388925 | + | 0.741035i | 0.0231192 | + | 0.0440499i | 0.896742 | − | 0.442554i | \(-0.145928\pi\) |
−0.873622 | + | 0.486604i | \(0.838235\pi\) | |||||||
\(284\) | −1.42238 | + | 5.77081i | −0.0844026 | + | 0.342435i | ||||
\(285\) | −17.8145 | + | 5.42900i | −1.05524 | + | 0.321586i | ||||
\(286\) | −13.5810 | − | 10.1429i | −0.803061 | − | 0.599762i | ||||
\(287\) | −5.21270 | + | 3.59806i | −0.307696 | + | 0.212387i | ||||
\(288\) | 2.02226 | + | 5.33226i | 0.119163 | + | 0.314206i | ||||
\(289\) | 0.854825 | + | 2.25399i | 0.0502838 | + | 0.132588i | ||||
\(290\) | 13.9112 | − | 13.7380i | 0.816894 | − | 0.806722i | ||||
\(291\) | 12.7637 | + | 1.54980i | 0.748224 | + | 0.0908508i | ||||
\(292\) | −3.68905 | − | 3.26821i | −0.215885 | − | 0.191257i | ||||
\(293\) | 2.68824 | + | 3.89459i | 0.157049 | + | 0.227524i | 0.893607 | − | 0.448849i | \(-0.148166\pi\) |
−0.736559 | + | 0.676373i | \(0.763551\pi\) | |||||||
\(294\) | 12.9190 | − | 14.5825i | 0.753451 | − | 0.850470i | ||||
\(295\) | 17.1933 | − | 7.60890i | 1.00103 | − | 0.443007i | ||||
\(296\) | 1.91190 | − | 15.7459i | 0.111127 | − | 0.915210i | ||||
\(297\) | −9.68843 | + | 25.5463i | −0.562180 | + | 1.48235i | ||||
\(298\) | −0.0489908 | − | 0.0552992i | −0.00283796 | − | 0.00320339i | ||||
\(299\) | 17.8787 | + | 13.3526i | 1.03395 | + | 0.772204i | ||||
\(300\) | 6.39080 | + | 3.45697i | 0.368973 | + | 0.199588i | ||||
\(301\) | 9.88863 | + | 18.8412i | 0.569971 | + | 1.08599i | ||||
\(302\) | −8.81633 | − | 6.08547i | −0.507322 | − | 0.350179i | ||||
\(303\) | 7.95261 | + | 8.97664i | 0.456866 | + | 0.515695i | ||||
\(304\) | −1.12738 | − | 4.57397i | −0.0646599 | − | 0.262335i | ||||
\(305\) | −0.355938 | + | 1.11755i | −0.0203810 | + | 0.0639906i | ||||
\(306\) | −2.19102 | + | 4.17464i | −0.125252 | + | 0.238648i | ||||
\(307\) | −16.2860 | + | 8.54754i | −0.929490 | + | 0.487834i | −0.860311 | − | 0.509770i | \(-0.829730\pi\) |
−0.0691794 | + | 0.997604i | \(0.522038\pi\) | |||||||
\(308\) | −5.66109 | − | 22.9679i | −0.322570 | − | 1.30872i | ||||
\(309\) | −15.2049 | − | 13.4703i | −0.864975 | − | 0.766301i | ||||
\(310\) | −3.22900 | + | 1.42900i | −0.183395 | + | 0.0811616i | ||||
\(311\) | 13.5550 | − | 7.11422i | 0.768635 | − | 0.403411i | −0.0343502 | − | 0.999410i | \(-0.510936\pi\) |
0.802985 | + | 0.595999i | \(0.203244\pi\) | |||||||
\(312\) | 0.550805 | − | 14.7495i | 0.0311832 | − | 0.835024i | ||||
\(313\) | 4.71967 | − | 8.99258i | 0.266772 | − | 0.508291i | −0.714814 | − | 0.699315i | \(-0.753489\pi\) |
0.981585 | + | 0.191024i | \(0.0611808\pi\) | |||||||
\(314\) | −0.666016 | + | 0.459718i | −0.0375855 | + | 0.0259434i | ||||
\(315\) | −8.94480 | − | 7.09869i | −0.503983 | − | 0.399966i | ||||
\(316\) | 0.448659 | 0.0252390 | ||||||||
\(317\) | 0.947230 | + | 1.37230i | 0.0532017 | + | 0.0770760i | 0.848682 | − | 0.528904i | \(-0.177397\pi\) |
−0.795480 | + | 0.605980i | \(0.792781\pi\) | |||||||
\(318\) | −0.0976344 | + | 0.804092i | −0.00547507 | + | 0.0450912i | ||||
\(319\) | − | 43.4692i | − | 2.43381i | ||||||
\(320\) | −7.71219 | + | 12.5788i | −0.431124 | + | 0.703178i | ||||
\(321\) | −14.9579 | + | 21.6703i | −0.834871 | + | 1.20952i | ||||
\(322\) | −6.68396 | − | 27.1179i | −0.372482 | − | 1.51122i | ||||
\(323\) | −15.1240 | + | 21.9108i | −0.841519 | + | 1.21915i | ||||
\(324\) | −4.59414 | + | 1.13235i | −0.255230 | + | 0.0629086i | ||||
\(325\) | 11.2673 | + | 14.0730i | 0.624996 | + | 0.780628i | ||||
\(326\) | 1.64004 | + | 0.404235i | 0.0908337 | + | 0.0223885i | ||||
\(327\) | 14.7919 | − | 13.1045i | 0.817994 | − | 0.724679i | ||||
\(328\) | 3.33627 | − | 2.30286i | 0.184215 | − | 0.127154i | ||||
\(329\) | −10.3662 | − | 9.18369i | −0.571510 | − | 0.506313i | ||||
\(330\) | −13.8592 | + | 4.22362i | −0.762923 | + | 0.232503i | ||||
\(331\) | −0.150120 | − | 0.103620i | −0.00825132 | − | 0.00569548i | 0.563932 | − | 0.825821i | \(-0.309288\pi\) |
−0.572183 | + | 0.820126i | \(0.693903\pi\) | |||||||
\(332\) | −14.1512 | + | 7.42712i | −0.776648 | + | 0.407616i | ||||
\(333\) | −5.70594 | − | 1.40639i | −0.312684 | − | 0.0770696i | ||||
\(334\) | −1.76932 | − | 14.5717i | −0.0968131 | − | 0.797327i | ||||
\(335\) | −3.71881 | + | 2.21640i | −0.203180 | + | 0.121095i | ||||
\(336\) | −3.30640 | + | 3.73216i | −0.180379 | + | 0.203606i | ||||
\(337\) | − | 10.1634i | − | 0.553637i | −0.960922 | − | 0.276818i | \(-0.910720\pi\) | ||
0.960922 | − | 0.276818i | \(-0.0892801\pi\) | |||||||
\(338\) | 5.35190 | − | 11.4529i | 0.291105 | − | 0.622955i | ||||
\(339\) | 3.02856 | 0.164489 | ||||||||
\(340\) | 10.2286 | − | 1.80830i | 0.554722 | − | 0.0980686i | ||||
\(341\) | −2.78393 | + | 7.34062i | −0.150758 | + | 0.397517i | ||||
\(342\) | −6.41951 | + | 0.779469i | −0.347127 | + | 0.0421489i | ||||
\(343\) | 33.9567 | + | 8.36958i | 1.83349 | + | 0.451915i | ||||
\(344\) | −6.32899 | − | 12.0589i | −0.341237 | − | 0.650172i | ||||
\(345\) | 18.2450 | − | 5.56020i | 0.982275 | − | 0.299351i | ||||
\(346\) | 0.139676 | + | 0.0964113i | 0.00750902 | + | 0.00518310i | ||||
\(347\) | 3.09718 | − | 3.49600i | 0.166266 | − | 0.187675i | −0.659473 | − | 0.751729i | \(-0.729220\pi\) |
0.825738 | + | 0.564054i | \(0.190759\pi\) | |||||||
\(348\) | 10.7532 | − | 7.42243i | 0.576434 | − | 0.397884i | ||||
\(349\) | −6.25140 | − | 7.05637i | −0.334630 | − | 0.377719i | 0.556978 | − | 0.830527i | \(-0.311961\pi\) |
−0.891608 | + | 0.452808i | \(0.850422\pi\) | |||||||
\(350\) | 0.282721 | − | 22.5622i | 0.0151121 | − | 1.20600i | ||||
\(351\) | −20.1221 | − | 3.20926i | −1.07404 | − | 0.171298i | ||||
\(352\) | 5.99575 | + | 24.3257i | 0.319575 | + | 1.29657i | ||||
\(353\) | −8.73768 | + | 12.6587i | −0.465060 | + | 0.673756i | −0.983407 | − | 0.181415i | \(-0.941932\pi\) |
0.518347 | + | 0.855171i | \(0.326548\pi\) | |||||||
\(354\) | −10.9419 | + | 2.69693i | −0.581554 | + | 0.143340i | ||||
\(355\) | 3.67450 | + | 12.0573i | 0.195022 | + | 0.639936i | ||||
\(356\) | −6.95221 | + | 0.844151i | −0.368466 | + | 0.0447399i | ||||
\(357\) | 28.1792 | 1.49140 | ||||||||
\(358\) | 0.828250 | − | 6.82125i | 0.0437744 | − | 0.360514i | ||||
\(359\) | 5.77092 | − | 3.98338i | 0.304578 | − | 0.210235i | −0.405965 | − | 0.913888i | \(-0.633065\pi\) |
0.710543 | + | 0.703654i | \(0.248449\pi\) | |||||||
\(360\) | 5.72492 | + | 4.54335i | 0.301730 | + | 0.239456i | ||||
\(361\) | −17.5170 | −0.921948 | ||||||||
\(362\) | 9.30008 | + | 13.4735i | 0.488801 | + | 0.708151i | ||||
\(363\) | −7.92454 | + | 15.0990i | −0.415931 | + | 0.792490i | ||||
\(364\) | 15.9163 | − | 7.60999i | 0.834242 | − | 0.398872i | ||||
\(365\) | −10.2690 | − | 1.94844i | −0.537504 | − | 0.101986i | ||||
\(366\) | 0.326695 | − | 0.622464i | 0.0170766 | − | 0.0325367i | ||||
\(367\) | −9.55778 | + | 10.7885i | −0.498912 | + | 0.563155i | −0.942985 | − | 0.332835i | \(-0.891995\pi\) |
0.444073 | + | 0.895991i | \(0.353533\pi\) | |||||||
\(368\) | 1.15463 | + | 4.68451i | 0.0601891 | + | 0.244197i | ||||
\(369\) | −0.697996 | − | 1.32992i | −0.0363362 | − | 0.0692329i | ||||
\(370\) | −4.69929 | − | 10.6187i | −0.244305 | − | 0.552038i | ||||
\(371\) | −2.62241 | + | 0.994550i | −0.136149 | + | 0.0516345i | ||||
\(372\) | −2.29125 | + | 0.564743i | −0.118796 | + | 0.0292805i | ||||
\(373\) | 0.877723 | + | 0.990745i | 0.0454468 | + | 0.0512988i | 0.770795 | − | 0.637084i | \(-0.219859\pi\) |
−0.725348 | + | 0.688383i | \(0.758321\pi\) | |||||||
\(374\) | −11.7660 | + | 17.0461i | −0.608408 | + | 0.881431i | ||||
\(375\) | 15.3959 | − | 0.641147i | 0.795038 | − | 0.0331087i | ||||
\(376\) | 6.63468 | + | 5.87781i | 0.342158 | + | 0.303125i | ||||
\(377\) | 31.7447 | − | 6.57835i | 1.63494 | − | 0.338802i | ||||
\(378\) | 16.9120 | + | 19.0897i | 0.869860 | + | 0.981869i | ||||
\(379\) | −28.9283 | − | 10.9711i | −1.48595 | − | 0.563546i | −0.527687 | − | 0.849439i | \(-0.676941\pi\) |
−0.958262 | + | 0.285893i | \(0.907710\pi\) | |||||||
\(380\) | 10.0109 | + | 10.1371i | 0.513548 | + | 0.520023i | ||||
\(381\) | 13.7579 | + | 7.22071i | 0.704839 | + | 0.369928i | ||||
\(382\) | −10.7852 | − | 9.55482i | −0.551817 | − | 0.488867i | ||||
\(383\) | −15.0018 | − | 21.7339i | −0.766556 | − | 1.11055i | −0.990710 | − | 0.135994i | \(-0.956577\pi\) |
0.224154 | − | 0.974554i | \(-0.428038\pi\) | |||||||
\(384\) | −3.60814 | + | 4.07274i | −0.184127 | + | 0.207836i | ||||
\(385\) | −35.2507 | − | 35.6952i | −1.79654 | − | 1.81920i | ||||
\(386\) | −0.882688 | + | 7.26959i | −0.0449276 | + | 0.370012i | ||||
\(387\) | −4.71790 | + | 1.78926i | −0.239824 | + | 0.0909534i | ||||
\(388\) | −3.48794 | − | 9.19693i | −0.177073 | − | 0.466904i | ||||
\(389\) | 0.751838 | + | 1.08923i | 0.0381197 | + | 0.0552259i | 0.841580 | − | 0.540132i | \(-0.181626\pi\) |
−0.803461 | + | 0.595358i | \(0.797010\pi\) | |||||||
\(390\) | −5.18178 | − | 9.48191i | −0.262390 | − | 0.480135i | ||||
\(391\) | 15.4894 | − | 22.4403i | 0.783334 | − | 1.13486i | ||||
\(392\) | −41.9203 | − | 10.3324i | −2.11730 | − | 0.521866i | ||||
\(393\) | 9.87341 | + | 18.8122i | 0.498048 | + | 0.948951i | ||||
\(394\) | −8.65393 | − | 22.8185i | −0.435979 | − | 1.14958i | ||||
\(395\) | 0.817343 | − | 0.487135i | 0.0411250 | − | 0.0245104i | ||||
\(396\) | 5.56850 | − | 0.676138i | 0.279828 | − | 0.0339772i | ||||
\(397\) | −4.81053 | − | 1.18569i | −0.241434 | − | 0.0595080i | 0.116742 | − | 0.993162i | \(-0.462755\pi\) |
−0.358176 | + | 0.933654i | \(0.616601\pi\) | |||||||
\(398\) | 15.9690 | + | 8.38118i | 0.800454 | + | 0.420111i | ||||
\(399\) | 21.9561 | + | 31.8088i | 1.09918 | + | 1.59243i | ||||
\(400\) | −0.0488389 | + | 3.89752i | −0.00244195 | + | 0.194876i | ||||
\(401\) | −0.578614 | − | 2.34753i | −0.0288946 | − | 0.117230i | 0.954724 | − | 0.297494i | \(-0.0961509\pi\) |
−0.983618 | + | 0.180264i | \(0.942305\pi\) | |||||||
\(402\) | 2.42620 | − | 0.920138i | 0.121008 | − | 0.0458923i | ||||
\(403\) | −5.78201 | − | 0.922168i | −0.288022 | − | 0.0459365i | ||||
\(404\) | 3.25333 | − | 8.57833i | 0.161859 | − | 0.426788i | ||||
\(405\) | −7.13990 | + | 7.05100i | −0.354785 | + | 0.350367i | ||||
\(406\) | −35.9287 | − | 18.8568i | −1.78311 | − | 0.935850i | ||||
\(407\) | −24.1398 | − | 9.15502i | −1.19657 | − | 0.453797i | ||||
\(408\) | −18.0355 | −0.892888 | ||||||||
\(409\) | 5.64651 | + | 2.14144i | 0.279202 | + | 0.105887i | 0.490231 | − | 0.871592i | \(-0.336912\pi\) |
−0.211029 | + | 0.977480i | \(0.567682\pi\) | |||||||
\(410\) | 1.23495 | − | 2.69864i | 0.0609898 | − | 0.133276i | ||||
\(411\) | 17.3817 | + | 19.6199i | 0.857378 | + | 0.967779i | ||||
\(412\) | −3.71898 | + | 15.0885i | −0.183221 | + | 0.743357i | ||||
\(413\) | −25.8756 | − | 29.2075i | −1.27325 | − | 1.43721i | ||||
\(414\) | 6.57464 | − | 0.798306i | 0.323126 | − | 0.0392346i | ||||
\(415\) | −17.7158 | + | 28.8951i | −0.869637 | + | 1.41841i | ||||
\(416\) | −16.8572 | + | 8.05987i | −0.826494 | + | 0.395168i | ||||
\(417\) | −8.12032 | − | 0.985985i | −0.397654 | − | 0.0482839i | ||||
\(418\) | −28.4093 | −1.38954 | ||||||||
\(419\) | −4.27865 | − | 35.2379i | −0.209026 | − | 1.72148i | −0.599079 | − | 0.800690i | \(-0.704466\pi\) |
0.390053 | − | 0.920793i | \(-0.372457\pi\) | |||||||
\(420\) | 2.81103 | − | 14.8152i | 0.137164 | − | 0.722906i | ||||
\(421\) | 10.0661 | − | 3.81755i | 0.490589 | − | 0.186056i | −0.0968900 | − | 0.995295i | \(-0.530890\pi\) |
0.587480 | + | 0.809239i | \(0.300120\pi\) | |||||||
\(422\) | 1.96514 | − | 1.74097i | 0.0956617 | − | 0.0847489i | ||||
\(423\) | 2.45815 | − | 2.17773i | 0.119520 | − | 0.105885i | ||||
\(424\) | 1.67842 | − | 0.636539i | 0.0815111 | − | 0.0309131i | ||||
\(425\) | 16.6705 | − | 14.4000i | 0.808638 | − | 0.698504i | ||||
\(426\) | −0.910659 | − | 7.49995i | −0.0441216 | − | 0.363374i | ||||
\(427\) | 2.43414 | 0.117796 | ||||||||
\(428\) | 19.9969 | + | 2.42807i | 0.966589 | + | 0.117365i | ||||
\(429\) | −23.0953 | − | 6.61584i | −1.11505 | − | 0.319416i | ||||
\(430\) | −8.49983 | − | 5.21131i | −0.409898 | − | 0.251312i | ||||
\(431\) | −23.7207 | + | 2.88021i | −1.14259 | + | 0.138735i | −0.669869 | − | 0.742479i | \(-0.733650\pi\) |
−0.472717 | + | 0.881214i | \(0.656727\pi\) | |||||||
\(432\) | −2.92148 | − | 3.29767i | −0.140560 | − | 0.158659i | ||||
\(433\) | 4.38404 | − | 17.7868i | 0.210684 | − | 0.854777i | −0.766476 | − | 0.642273i | \(-0.777992\pi\) |
0.977160 | − | 0.212505i | \(-0.0681621\pi\) | |||||||
\(434\) | 4.85959 | + | 5.48535i | 0.233268 | + | 0.263305i | ||||
\(435\) | 11.5307 | − | 25.1972i | 0.552856 | − | 1.20811i | ||||
\(436\) | −14.1356 | − | 5.36091i | −0.676970 | − | 0.256741i | ||||
\(437\) | 37.3995 | 1.78906 | ||||||||
\(438\) | 5.85771 | + | 2.22154i | 0.279892 | + | 0.106149i | ||||
\(439\) | 25.2142 | + | 13.2335i | 1.20341 | + | 0.631598i | 0.942643 | − | 0.333803i | \(-0.108332\pi\) |
0.260768 | + | 0.965402i | \(0.416024\pi\) | |||||||
\(440\) | 22.5614 | + | 22.8459i | 1.07557 | + | 1.08914i | ||||
\(441\) | −5.67238 | + | 14.9568i | −0.270113 | + | 0.712230i | ||||
\(442\) | −14.2290 | − | 6.01287i | −0.676804 | − | 0.286003i | ||||
\(443\) | 22.2834 | − | 8.45099i | 1.05872 | − | 0.401518i | 0.237057 | − | 0.971496i | \(-0.423817\pi\) |
0.821660 | + | 0.569977i | \(0.193048\pi\) | |||||||
\(444\) | −1.85717 | − | 7.53483i | −0.0881374 | − | 0.357587i | ||||
\(445\) | −11.7486 | + | 9.08625i | −0.556938 | + | 0.430730i | ||||
\(446\) | 15.5541 | + | 22.5340i | 0.736508 | + | 1.06702i | ||||
\(447\) | −0.0927154 | − | 0.0486608i | −0.00438529 | − | 0.00230158i | ||||
\(448\) | 29.7321 | + | 7.32832i | 1.40471 | + | 0.346230i | ||||
\(449\) | 34.0498 | − | 4.13439i | 1.60691 | − | 0.195114i | 0.732661 | − | 0.680594i | \(-0.238278\pi\) |
0.874248 | + | 0.485480i | \(0.161355\pi\) | |||||||
\(450\) | 5.30309 | + | 0.711445i | 0.249990 | + | 0.0335379i | ||||
\(451\) | −2.33983 | − | 6.16962i | −0.110178 | − | 0.290516i | ||||
\(452\) | −1.07671 | − | 2.05150i | −0.0506441 | − | 0.0964943i | ||||
\(453\) | −14.7419 | − | 3.63355i | −0.692635 | − | 0.170719i | ||||
\(454\) | −6.99028 | + | 10.1272i | −0.328070 | + | 0.475292i | ||||
\(455\) | 20.7329 | − | 31.1448i | 0.971973 | − | 1.46009i | ||||
\(456\) | −14.0525 | − | 20.3585i | −0.658067 | − | 0.953375i | ||||
\(457\) | 4.58875 | + | 12.0995i | 0.214653 | + | 0.565993i | 0.998488 | − | 0.0549764i | \(-0.0175084\pi\) |
−0.783835 | + | 0.620969i | \(0.786739\pi\) | |||||||
\(458\) | 13.5817 | − | 5.15087i | 0.634632 | − | 0.240684i | ||||
\(459\) | −3.00121 | + | 24.7172i | −0.140084 | + | 1.15370i | ||||
\(460\) | −10.2528 | − | 10.3821i | −0.478039 | − | 0.484067i | ||||
\(461\) | −1.27294 | + | 1.43685i | −0.0592866 | + | 0.0669207i | −0.777406 | − | 0.628999i | \(-0.783465\pi\) |
0.718119 | + | 0.695920i | \(0.245003\pi\) | |||||||
\(462\) | 17.0812 | + | 24.7464i | 0.794691 | + | 1.15131i | ||||
\(463\) | −11.5765 | − | 10.2559i | −0.538007 | − | 0.476633i | 0.349816 | − | 0.936819i | \(-0.386244\pi\) |
−0.887822 | + | 0.460186i | \(0.847783\pi\) | |||||||
\(464\) | 6.20654 | + | 3.25745i | 0.288132 | + | 0.151223i | ||||
\(465\) | −3.56091 | + | 3.51656i | −0.165133 | + | 0.163077i | ||||
\(466\) | −15.5440 | − | 5.89506i | −0.720062 | − | 0.273084i | ||||
\(467\) | −8.79059 | − | 9.92253i | −0.406780 | − | 0.459160i | 0.509043 | − | 0.860741i | \(-0.329999\pi\) |
−0.915823 | + | 0.401581i | \(0.868461\pi\) | |||||||
\(468\) | 1.33647 | + | 3.96424i | 0.0617783 | + | 0.183247i | ||||
\(469\) | 6.72519 | + | 5.95800i | 0.310540 | + | 0.275115i | ||||
\(470\) | 6.37537 | + | 1.20966i | 0.294074 | + | 0.0557975i | ||||
\(471\) | −0.651562 | + | 0.943950i | −0.0300224 | + | 0.0434949i | ||||
\(472\) | 16.5611 | + | 18.6936i | 0.762285 | + | 0.860442i | ||||
\(473\) | −21.5230 | + | 5.30495i | −0.989630 | + | 0.243922i | ||||
\(474\) | −0.533247 | + | 0.202234i | −0.0244928 | + | 0.00928891i | ||||
\(475\) | 29.2438 | + | 7.59785i | 1.34180 | + | 0.348613i | ||||
\(476\) | −10.0182 | − | 19.0881i | −0.459185 | − | 0.874904i | ||||
\(477\) | −0.159162 | − | 0.645747i | −0.00728755 | − | 0.0295667i | ||||
\(478\) | 17.3808 | − | 19.6189i | 0.794979 | − | 0.897346i | ||||
\(479\) | −17.0036 | + | 32.3977i | −0.776915 | + | 1.48029i | 0.0975671 | + | 0.995229i | \(0.468894\pi\) |
−0.874482 | + | 0.485058i | \(0.838798\pi\) | |||||||
\(480\) | −2.97721 | + | 15.6910i | −0.135890 | + | 0.716193i | ||||
\(481\) | 3.03257 | − | 19.0143i | 0.138273 | − | 0.866976i | ||||
\(482\) | 7.71274 | − | 14.6954i | 0.351306 | − | 0.669357i | ||||
\(483\) | −22.4866 | − | 32.5775i | −1.02318 | − | 1.48233i | ||||
\(484\) | 13.0451 | 0.592960 | ||||||||
\(485\) | −16.3398 | − | 12.9674i | −0.741952 | − | 0.588821i | ||||
\(486\) | −8.61856 | + | 5.94896i | −0.390946 | + | 0.269850i | ||||
\(487\) | −1.86399 | + | 15.3513i | −0.0844654 | + | 0.695635i | 0.887549 | + | 0.460714i | \(0.152406\pi\) |
−0.972014 | + | 0.234922i | \(0.924517\pi\) | |||||||
\(488\) | −1.55792 | −0.0705236 | ||||||||
\(489\) | 2.37656 | − | 0.288566i | 0.107472 | − | 0.0130494i | ||||
\(490\) | −30.2350 | + | 9.21419i | −1.36588 | + | 0.416254i | ||||
\(491\) | 36.5539 | − | 9.00974i | 1.64966 | − | 0.406604i | 0.698573 | − | 0.715539i | \(-0.253819\pi\) |
0.951083 | + | 0.308935i | \(0.0999725\pi\) | |||||||
\(492\) | 1.12669 | − | 1.63229i | 0.0507949 | − | 0.0735892i | ||||
\(493\) | −9.48028 | − | 38.4630i | −0.426970 | − | 1.73229i | ||||
\(494\) | −4.29927 | − | 20.7467i | −0.193433 | − | 0.933440i | ||||
\(495\) | 9.41027 | − | 7.27780i | 0.422960 | − | 0.327113i | ||||
\(496\) | −0.839476 | − | 0.947572i | −0.0376936 | − | 0.0425472i | ||||
\(497\) | 21.5291 | − | 14.8605i | 0.965712 | − | 0.666583i | ||||
\(498\) | 13.4714 | − | 15.2061i | 0.603668 | − | 0.681401i | ||||
\(499\) | −19.8111 | − | 13.6746i | −0.886868 | − | 0.612161i | 0.0351181 | − | 0.999383i | \(-0.488819\pi\) |
−0.921986 | + | 0.387222i | \(0.873435\pi\) | |||||||
\(500\) | −5.90781 | − | 10.2010i | −0.264205 | − | 0.456201i | ||||
\(501\) | −9.66822 | − | 18.4213i | −0.431944 | − | 0.823001i | ||||
\(502\) | 23.6365 | + | 5.82588i | 1.05495 | + | 0.260022i | ||||
\(503\) | 25.1863 | − | 3.05817i | 1.12300 | − | 0.136357i | 0.462099 | − | 0.886828i | \(-0.347096\pi\) |
0.660903 | + | 0.750471i | \(0.270173\pi\) | |||||||
\(504\) | 5.37876 | − | 14.1826i | 0.239589 | − | 0.631745i | ||||
\(505\) | −3.38725 | − | 19.1599i | −0.150731 | − | 0.852604i | ||||
\(506\) | 29.0958 | 1.29347 | ||||||||
\(507\) | 1.33633 | − | 17.8672i | 0.0593486 | − | 0.793511i | ||||
\(508\) | − | 11.8865i | − | 0.527377i | ||||||
\(509\) | −1.56052 | + | 1.76147i | −0.0691689 | + | 0.0780756i | −0.782077 | − | 0.623182i | \(-0.785839\pi\) |
0.712908 | + | 0.701258i | \(0.247378\pi\) | |||||||
\(510\) | −11.3419 | + | 6.75977i | −0.502229 | + | 0.299328i | ||||
\(511\) | 2.61473 | + | 21.5342i | 0.115669 | + | 0.952617i | ||||
\(512\) | −8.41886 | − | 2.07506i | −0.372065 | − | 0.0917057i | ||||
\(513\) | −30.2393 | + | 15.8708i | −1.33510 | + | 0.700713i | ||||
\(514\) | −0.979225 | − | 0.675910i | −0.0431918 | − | 0.0298131i | ||||
\(515\) | 9.60742 | + | 31.5253i | 0.423354 | + | 1.38917i | ||||
\(516\) | −4.98740 | − | 4.41845i | −0.219558 | − | 0.194511i | ||||
\(517\) | 11.8736 | − | 8.19576i | 0.522201 | − | 0.360449i | ||||
\(518\) | −18.0387 | + | 15.9809i | −0.792575 | + | 0.702160i | ||||
\(519\) | 0.233554 | + | 0.0575659i | 0.0102519 | + | 0.00252686i | ||||
\(520\) | −13.2696 | + | 19.9335i | −0.581911 | + | 0.874142i | ||||
\(521\) | −34.1209 | + | 8.41006i | −1.49487 | + | 0.368451i | −0.900184 | − | 0.435510i | \(-0.856568\pi\) |
−0.594682 | + | 0.803961i | \(0.702722\pi\) | |||||||
\(522\) | 5.46588 | − | 7.91870i | 0.239235 | − | 0.346592i | ||||
\(523\) | 1.17832 | + | 4.78062i | 0.0515243 | + | 0.209042i | 0.991062 | − | 0.133404i | \(-0.0425908\pi\) |
−0.939537 | + | 0.342446i | \(0.888745\pi\) | |||||||
\(524\) | 9.23291 | − | 13.3762i | 0.403342 | − | 0.584341i | ||||
\(525\) | −10.9647 | − | 30.0416i | −0.478540 | − | 1.31112i | ||||
\(526\) | − | 14.2791i | − | 0.622599i | ||||||
\(527\) | −0.862384 | + | 7.10237i | −0.0375660 | + | 0.309384i | ||||
\(528\) | −2.95072 | − | 4.27485i | −0.128413 | − | 0.186039i | ||||
\(529\) | −15.3032 | −0.665358 | ||||||||
\(530\) | 0.816924 | − | 1.02938i | 0.0354849 | − | 0.0447133i | ||||
\(531\) | 7.61509 | − | 5.25632i | 0.330467 | − | 0.228105i | ||||
\(532\) | 13.7410 | − | 26.1813i | 0.595748 | − | 1.13510i | ||||
\(533\) | 4.15146 | − | 2.64240i | 0.179820 | − | 0.114455i | ||||
\(534\) | 7.88244 | − | 4.13702i | 0.341107 | − | 0.179027i | ||||
\(535\) | 39.0657 | − | 17.2885i | 1.68896 | − | 0.747449i | ||||
\(536\) | −4.30430 | − | 3.81328i | −0.185918 | − | 0.164709i | ||||
\(537\) | −2.33065 | − | 9.45583i | −0.100575 | − | 0.408049i | ||||
\(538\) | −6.91891 | + | 3.63132i | −0.298295 | + | 0.156557i | ||||
\(539\) | −32.6584 | + | 62.2254i | −1.40670 | + | 2.68024i | ||||
\(540\) | 12.6956 | + | 4.04355i | 0.546332 | + | 0.174007i | ||||
\(541\) | 6.96607 | + | 28.2624i | 0.299495 | + | 1.21510i | 0.907119 | + | 0.420873i | \(0.138276\pi\) |
−0.607625 | + | 0.794224i | \(0.707878\pi\) | |||||||
\(542\) | −5.49016 | − | 6.19711i | −0.235822 | − | 0.266188i | ||||
\(543\) | 19.0961 | + | 13.1811i | 0.819492 | + | 0.565654i | ||||
\(544\) | 10.6105 | + | 20.2166i | 0.454920 | + | 0.866778i | ||||
\(545\) | −31.5721 | + | 5.58158i | −1.35240 | + | 0.239089i | ||||
\(546\) | −15.4869 | + | 16.2191i | −0.662777 | + | 0.694111i | ||||
\(547\) | 20.0440 | + | 22.6250i | 0.857020 | + | 0.967376i | 0.999749 | − | 0.0223860i | \(-0.00712628\pi\) |
−0.142729 | + | 0.989762i | \(0.545588\pi\) | |||||||
\(548\) | 7.11069 | − | 18.7493i | 0.303754 | − | 0.800933i | ||||
\(549\) | −0.0695749 | + | 0.573001i | −0.00296938 | + | 0.0244551i | ||||
\(550\) | 22.7509 | + | 5.91093i | 0.970101 | + | 0.252043i | ||||
\(551\) | 36.0306 | − | 40.6702i | 1.53496 | − | 1.73261i | ||||
\(552\) | 14.3921 | + | 20.8505i | 0.612567 | + | 0.887456i | ||||
\(553\) | −1.47810 | − | 1.30949i | −0.0628554 | − | 0.0556850i | ||||
\(554\) | 12.4691 | + | 1.51403i | 0.529763 | + | 0.0643249i | ||||
\(555\) | −11.5643 | − | 11.7101i | −0.490877 | − | 0.497067i | ||||
\(556\) | 2.21903 | + | 5.85111i | 0.0941079 | + | 0.248142i | ||||
\(557\) | 5.74367 | + | 15.1448i | 0.243367 | + | 0.641707i | 0.999925 | − | 0.0122197i | \(-0.00388975\pi\) |
−0.756558 | + | 0.653927i | \(0.773121\pi\) | |||||||
\(558\) | −1.43016 | + | 0.987169i | −0.0605435 | + | 0.0417902i | ||||
\(559\) | −7.13125 | − | 14.9150i | −0.301620 | − | 0.630838i | ||||
\(560\) | 7.73814 | − | 2.35822i | 0.326996 | − | 0.0996529i | ||||
\(561\) | −7.02535 | + | 28.5030i | −0.296611 | + | 1.20340i | ||||
\(562\) | 10.5358 | + | 20.0742i | 0.444424 | + | 0.846780i | ||||
\(563\) | 2.40395 | − | 0.911699i | 0.101314 | − | 0.0384235i | −0.303427 | − | 0.952855i | \(-0.598131\pi\) |
0.404741 | + | 0.914431i | \(0.367362\pi\) | |||||||
\(564\) | 4.05487 | + | 1.53781i | 0.170741 | + | 0.0647534i | ||||
\(565\) | −4.18892 | − | 2.56826i | −0.176229 | − | 0.108048i | ||||
\(566\) | −0.194762 | + | 0.790179i | −0.00818644 | + | 0.0332137i | ||||
\(567\) | 18.4404 | + | 9.67825i | 0.774422 | + | 0.406448i | ||||
\(568\) | −13.7792 | + | 9.51110i | −0.578163 | + | 0.399077i | ||||
\(569\) | −24.4231 | − | 6.01974i | −1.02387 | − | 0.252361i | −0.308586 | − | 0.951197i | \(-0.599856\pi\) |
−0.715282 | + | 0.698836i | \(0.753702\pi\) | |||||||
\(570\) | −16.4676 | − | 7.53589i | −0.689752 | − | 0.315644i | ||||
\(571\) | 0.934818 | + | 2.46491i | 0.0391209 | + | 0.103153i | 0.953153 | − | 0.302488i | \(-0.0978173\pi\) |
−0.914032 | + | 0.405642i | \(0.867048\pi\) | |||||||
\(572\) | 3.72933 | + | 17.9964i | 0.155931 | + | 0.752468i | ||||
\(573\) | −19.0947 | − | 7.24165i | −0.797691 | − | 0.302524i | ||||
\(574\) | −6.11440 | − | 0.742422i | −0.255210 | − | 0.0309881i | ||||
\(575\) | −29.9505 | − | 7.78146i | −1.24902 | − | 0.324509i | ||||
\(576\) | −2.57493 | + | 6.78953i | −0.107289 | + | 0.282897i | ||||
\(577\) | 2.48298 | 0.103368 | 0.0516839 | − | 0.998663i | \(-0.483541\pi\) | ||||
0.0516839 | + | 0.998663i | \(0.483541\pi\) | |||||||
\(578\) | −0.831262 | + | 2.19186i | −0.0345759 | + | 0.0911693i | ||||
\(579\) | 2.48384 | + | 10.0773i | 0.103225 | + | 0.418799i | ||||
\(580\) | −21.1676 | + | 1.14735i | −0.878935 | + | 0.0476411i | ||||
\(581\) | 68.2984 | + | 16.8340i | 2.83350 | + | 0.698394i | ||||
\(582\) | 8.29107 | + | 9.35869i | 0.343676 | + | 0.387930i | ||||
\(583\) | −0.352184 | − | 2.90049i | −0.0145860 | − | 0.120126i | ||||
\(584\) | −1.67350 | − | 13.7825i | −0.0692498 | − | 0.570323i | ||||
\(585\) | 6.73892 | + | 5.77076i | 0.278620 | + | 0.238592i | ||||
\(586\) | −0.554689 | + | 4.56828i | −0.0229140 | + | 0.188714i | ||||
\(587\) | 14.3106 | 0.590664 | 0.295332 | − | 0.955395i | \(-0.404570\pi\) | ||||
0.295332 | + | 0.955395i | \(0.404570\pi\) | |||||||
\(588\) | −20.9695 | + | 2.54616i | −0.864769 | + | 0.105002i | ||||
\(589\) | −8.68913 | + | 4.56041i | −0.358029 | + | 0.187908i | ||||
\(590\) | 17.4212 | + | 5.54863i | 0.717218 | + | 0.228434i | ||||
\(591\) | −22.9365 | − | 25.8899i | −0.943481 | − | 1.06497i | ||||
\(592\) | 3.11611 | − | 2.76064i | 0.128071 | − | 0.113461i | ||||
\(593\) | 4.96599 | + | 13.0942i | 0.203929 | + | 0.537716i | 0.997493 | − | 0.0707712i | \(-0.0225460\pi\) |
−0.793564 | + | 0.608487i | \(0.791777\pi\) | |||||||
\(594\) | −23.5254 | + | 12.3471i | −0.965258 | + | 0.506606i | ||||
\(595\) | −38.9758 | − | 23.8964i | −1.59785 | − | 0.979657i | ||||
\(596\) | 0.0801037i | 0.00328118i | ||||||||
\(597\) | 25.3745 | + | 3.08102i | 1.03851 | + | 0.126098i | ||||
\(598\) | 4.40317 | + | 21.2481i | 0.180059 | + | 0.868899i | ||||
\(599\) | 5.09644 | + | 41.9730i | 0.208235 | + | 1.71497i | 0.604308 | + | 0.796751i | \(0.293450\pi\) |
−0.396073 | + | 0.918219i | \(0.629627\pi\) | |||||||
\(600\) | 7.01772 | + | 19.2274i | 0.286497 | + | 0.784957i | ||||
\(601\) | −2.93640 | + | 2.60143i | −0.119778 | + | 0.106114i | −0.720886 | − | 0.693054i | \(-0.756265\pi\) |
0.601107 | + | 0.799168i | \(0.294726\pi\) | |||||||
\(602\) | −4.95192 | + | 20.0907i | −0.201825 | + | 0.818837i | ||||
\(603\) | −1.59475 | + | 1.41282i | −0.0649431 | + | 0.0575346i | ||||
\(604\) | 2.77971 | + | 11.2777i | 0.113105 | + | 0.458884i | ||||
\(605\) | 23.7649 | − | 14.1638i | 0.966180 | − | 0.575842i | ||||
\(606\) | 11.6621i | 0.473740i | ||||||||
\(607\) | 22.3095 | + | 8.46090i | 0.905517 | + | 0.343417i | 0.763018 | − | 0.646378i | \(-0.223717\pi\) |
0.142499 | + | 0.989795i | \(0.454486\pi\) | |||||||
\(608\) | −14.5533 | + | 27.7291i | −0.590216 | + | 1.12456i | ||||
\(609\) | −57.0901 | − | 6.93200i | −2.31341 | − | 0.280899i | ||||
\(610\) | −0.979723 | + | 0.583914i | −0.0396678 | + | 0.0236420i | ||||
\(611\) | 7.78208 | + | 7.43077i | 0.314829 | + | 0.300617i | ||||
\(612\) | 4.77973 | − | 1.81271i | 0.193209 | − | 0.0732746i | ||||
\(613\) | −16.8453 | + | 4.15198i | −0.680374 | + | 0.167697i | −0.564333 | − | 0.825547i | \(-0.690866\pi\) |
−0.116041 | + | 0.993244i | \(0.537020\pi\) | |||||||
\(614\) | −17.3660 | − | 4.28034i | −0.700836 | − | 0.172741i | ||||
\(615\) | 0.280268 | − | 4.19692i | 0.0113015 | − | 0.169236i | ||||
\(616\) | 30.9679 | − | 59.0045i | 1.24773 | − | 2.37736i | ||||
\(617\) | −15.7125 | − | 3.87279i | −0.632563 | − | 0.155913i | −0.0900188 | − | 0.995940i | \(-0.528693\pi\) |
−0.542544 | + | 0.840027i | \(0.682539\pi\) | |||||||
\(618\) | −2.38103 | − | 19.6095i | −0.0957790 | − | 0.788811i | ||||
\(619\) | −11.7744 | − | 4.46543i | −0.473252 | − | 0.179481i | 0.106436 | − | 0.994320i | \(-0.466056\pi\) |
−0.579688 | + | 0.814839i | \(0.696825\pi\) | |||||||
\(620\) | 3.64803 | + | 1.16190i | 0.146508 | + | 0.0466629i | ||||
\(621\) | 30.9700 | − | 16.2543i | 1.24278 | − | 0.652264i | ||||
\(622\) | 14.4540 | + | 3.56258i | 0.579551 | + | 0.142847i | ||||
\(623\) | 25.3678 | + | 17.5101i | 1.01634 | + | 0.701529i | ||||
\(624\) | 2.67530 | − | 2.80178i | 0.107098 | − | 0.112161i | ||||
\(625\) | −21.8383 | − | 12.1691i | −0.873533 | − | 0.486765i | ||||
\(626\) | 9.23416 | − | 3.50205i | 0.369071 | − | 0.139970i | ||||
\(627\) | −37.6482 | + | 14.2781i | −1.50352 | + | 0.570211i | ||||
\(628\) | 0.871059 | + | 0.105766i | 0.0347590 | + | 0.00422051i | ||||
\(629\) | −23.3563 | − | 2.83597i | −0.931277 | − | 0.113078i | ||||
\(630\) | −1.93318 | − | 10.9350i | −0.0770198 | − | 0.435660i | ||||
\(631\) | 1.79233 | − | 1.23716i | 0.0713515 | − | 0.0492504i | −0.531855 | − | 0.846835i | \(-0.678505\pi\) |
0.603207 | + | 0.797585i | \(0.293889\pi\) | |||||||
\(632\) | 0.946027 | + | 0.838107i | 0.0376309 | + | 0.0333381i | ||||
\(633\) | 1.72924 | − | 3.29479i | 0.0687311 | − | 0.130956i | ||||
\(634\) | −0.195451 | + | 1.60968i | −0.00776234 | + | 0.0639287i | ||||
\(635\) | −12.9059 | − | 21.6542i | −0.512153 | − | 0.859319i | ||||
\(636\) | 0.657376 | − | 0.582384i | 0.0260667 | − | 0.0230930i | ||||
\(637\) | −50.3843 | − | 14.4330i | −1.99630 | − | 0.571857i | ||||
\(638\) | 28.0309 | − | 31.6403i | 1.10975 | − | 1.25265i | ||||
\(639\) | 2.88281 | + | 5.49274i | 0.114042 | + | 0.217290i | ||||
\(640\) | 8.44430 | − | 2.57342i | 0.333790 | − | 0.101723i | ||||
\(641\) | −30.2904 | + | 26.8350i | −1.19640 | + | 1.05992i | −0.199608 | + | 0.979876i | \(0.563967\pi\) |
−0.996791 | + | 0.0800420i | \(0.974495\pi\) | |||||||
\(642\) | −24.8615 | + | 6.12782i | −0.981206 | + | 0.241846i | ||||
\(643\) | 16.3802 | + | 43.1911i | 0.645973 | + | 1.70329i | 0.708934 | + | 0.705275i | \(0.249177\pi\) |
−0.0629606 | + | 0.998016i | \(0.520054\pi\) | |||||||
\(644\) | −14.0731 | + | 26.8140i | −0.554557 | + | 1.05662i | ||||
\(645\) | −13.8831 | − | 2.63419i | −0.546648 | − | 0.103721i | ||||
\(646\) | −25.1375 | + | 6.19583i | −0.989020 | + | 0.243772i | ||||
\(647\) | 2.53623 | − | 2.86281i | 0.0997094 | − | 0.112549i | −0.696538 | − | 0.717520i | \(-0.745277\pi\) |
0.796247 | + | 0.604972i | \(0.206816\pi\) | |||||||
\(648\) | −11.8023 | − | 6.19434i | −0.463639 | − | 0.243337i | ||||
\(649\) | 35.9941 | − | 18.8912i | 1.41289 | − | 0.741543i | ||||
\(650\) | −0.873669 | + | 17.5090i | −0.0342681 | + | 0.686761i | ||||
\(651\) | 9.19681 | + | 4.82686i | 0.360452 | + | 0.189180i | ||||
\(652\) | −1.04038 | − | 1.50725i | −0.0407445 | − | 0.0590285i | ||||
\(653\) | 3.31557i | 0.129748i | 0.997893 | + | 0.0648742i | \(0.0206646\pi\) | ||||
−0.997893 | + | 0.0648742i | \(0.979335\pi\) | |||||||
\(654\) | 19.2170 | 0.751446 | ||||||||
\(655\) | 2.29672 | − | 34.3927i | 0.0897404 | − | 1.34384i | ||||
\(656\) | 1.05624 | + | 0.128251i | 0.0412392 | + | 0.00500734i | ||||
\(657\) | −5.14392 | −0.200684 | ||||||||
\(658\) | −1.62332 | − | 13.3692i | −0.0632835 | − | 0.521187i | ||||
\(659\) | 7.31686 | − | 10.6003i | 0.285024 | − | 0.412929i | −0.654153 | − | 0.756363i | \(-0.726975\pi\) |
0.939177 | + | 0.343433i | \(0.111590\pi\) | |||||||
\(660\) | 14.2846 | + | 6.53689i | 0.556026 | + | 0.254448i | ||||
\(661\) | −12.3218 | − | 8.50513i | −0.479263 | − | 0.330811i | 0.303819 | − | 0.952730i | \(-0.401738\pi\) |
−0.783082 | + | 0.621919i | \(0.786353\pi\) | |||||||
\(662\) | −0.0424500 | − | 0.172227i | −0.00164987 | − | 0.00669378i | ||||
\(663\) | −21.8783 | − | 0.817025i | −0.849684 | − | 0.0317306i | ||||
\(664\) | −43.7128 | − | 10.7742i | −1.69639 | − | 0.418122i | ||||
\(665\) | −3.39394 | − | 62.6152i | −0.131611 | − | 2.42811i | ||||
\(666\) | −3.24633 | − | 4.70312i | −0.125793 | − | 0.182242i | ||||
\(667\) | −36.9013 | + | 41.6530i | −1.42882 | + | 1.61281i | ||||
\(668\) | −9.04103 | + | 13.0982i | −0.349808 | + | 0.506784i | ||||
\(669\) | 31.9376 | + | 22.0450i | 1.23478 | + | 0.852307i | ||||
\(670\) | −4.13607 | − | 0.784777i | −0.159790 | − | 0.0303186i | ||||
\(671\) | −0.606855 | + | 2.46211i | −0.0234274 | + | 0.0950486i | ||||
\(672\) | 32.9042 | − | 3.99529i | 1.26931 | − | 0.154122i | ||||
\(673\) | −16.3611 | − | 6.20497i | −0.630676 | − | 0.239184i | 0.0184919 | − | 0.999829i | \(-0.494113\pi\) |
−0.649168 | + | 0.760645i | \(0.724883\pi\) | |||||||
\(674\) | 6.55382 | − | 7.39773i | 0.252444 | − | 0.284950i | ||||
\(675\) | 27.5185 | − | 6.41806i | 1.05919 | − | 0.247031i | ||||
\(676\) | −12.5781 | + | 5.44692i | −0.483772 | + | 0.209497i | ||||
\(677\) | − | 30.0254i | − | 1.15397i | −0.816755 | − | 0.576985i | \(-0.804229\pi\) | ||
0.816755 | − | 0.576985i | \(-0.195771\pi\) | |||||||
\(678\) | 2.20442 | + | 1.95295i | 0.0846603 | + | 0.0750025i | ||||
\(679\) | −15.3518 | + | 40.4794i | −0.589149 | + | 1.55346i | ||||
\(680\) | 24.9456 | + | 15.2943i | 0.956619 | + | 0.586511i | ||||
\(681\) | −4.17381 | + | 16.9338i | −0.159941 | + | 0.648905i | ||||
\(682\) | −6.75991 | + | 3.54788i | −0.258850 | + | 0.135855i | ||||
\(683\) | −5.47319 | + | 7.92929i | −0.209426 | + | 0.303406i | −0.913594 | − | 0.406627i | \(-0.866705\pi\) |
0.704168 | + | 0.710033i | \(0.251320\pi\) | |||||||
\(684\) | 5.77036 | + | 3.98300i | 0.220635 | + | 0.152294i | ||||
\(685\) | −7.40339 | − | 41.8771i | −0.282869 | − | 1.60004i | ||||
\(686\) | 19.3193 | + | 27.9888i | 0.737614 | + | 1.06862i | ||||
\(687\) | 15.4098 | − | 13.6519i | 0.587922 | − | 0.520853i | ||||
\(688\) | 0.855425 | − | 3.47060i | 0.0326128 | − | 0.132315i | ||||
\(689\) | 2.06488 | − | 0.696134i | 0.0786655 | − | 0.0265206i | ||||
\(690\) | 16.8656 | + | 7.71800i | 0.642061 | + | 0.293819i | ||||
\(691\) | 11.8567 | + | 8.18408i | 0.451050 | + | 0.311337i | 0.771844 | − | 0.635812i | \(-0.219335\pi\) |
−0.320795 | + | 0.947149i | \(0.603950\pi\) | |||||||
\(692\) | −0.0440386 | − | 0.178672i | −0.00167410 | − | 0.00679207i | ||||
\(693\) | −20.3188 | − | 14.0251i | −0.771848 | − | 0.532768i | ||||
\(694\) | 4.50875 | − | 0.547461i | 0.171150 | − | 0.0207813i | ||||
\(695\) | 10.3954 | + | 8.24990i | 0.394320 | + | 0.312937i | ||||
\(696\) | 36.5392 | + | 4.43667i | 1.38502 | + | 0.168171i | ||||
\(697\) | −3.41590 | − | 4.94878i | −0.129386 | − | 0.187449i | ||||
\(698\) | − | 9.16736i | − | 0.346990i | ||||||
\(699\) | −23.5618 | −0.891189 | ||||||||
\(700\) | −16.4515 | + | 18.1077i | −0.621809 | + | 0.684406i | ||||
\(701\) | 8.24222 | + | 4.32585i | 0.311304 | + | 0.163385i | 0.613139 | − | 0.789975i | \(-0.289907\pi\) |
−0.301834 | + | 0.953360i | \(0.597599\pi\) | |||||||
\(702\) | −12.5770 | − | 15.3116i | −0.474688 | − | 0.577899i | ||||
\(703\) | −14.9970 | − | 28.5744i | −0.565623 | − | 1.07770i | ||||
\(704\) | −14.8250 | + | 28.2467i | −0.558739 | + | 1.06459i | ||||
\(705\) | 9.05663 | − | 1.60111i | 0.341093 | − | 0.0603013i | ||||
\(706\) | −14.5229 | + | 3.57957i | −0.546575 | + | 0.134719i | ||||
\(707\) | −35.7554 | + | 18.7659i | −1.34472 | + | 0.705764i | ||||
\(708\) | 10.8193 | + | 5.67838i | 0.406612 | + | 0.213407i | ||||
\(709\) | 36.4771 | − | 13.8339i | 1.36993 | − | 0.519544i | 0.443585 | − | 0.896232i | \(-0.353706\pi\) |
0.926340 | + | 0.376688i | \(0.122937\pi\) | |||||||
\(710\) | −5.10050 | + | 11.1457i | −0.191418 | + | 0.418292i | ||||
\(711\) | 0.350504 | − | 0.310519i | 0.0131449 | − | 0.0116454i | ||||
\(712\) | −16.2361 | − | 11.2070i | −0.608473 | − | 0.419999i | ||||
\(713\) | 8.89910 | − | 4.67061i | 0.333274 | − | 0.174916i | ||||
\(714\) | 20.5110 | + | 18.1712i | 0.767606 | + | 0.680040i | ||||
\(715\) | 26.3337 | + | 28.7358i | 0.984824 | + | 1.07466i | ||||
\(716\) | −5.57664 | + | 4.94047i | −0.208409 | + | 0.184634i | ||||
\(717\) | 13.1730 | − | 34.7343i | 0.491955 | − | 1.29718i | ||||
\(718\) | 6.76919 | + | 0.821928i | 0.252624 | + | 0.0306741i | ||||
\(719\) | 34.2394 | + | 17.9702i | 1.27691 | + | 0.670176i | 0.960456 | − | 0.278431i | \(-0.0898143\pi\) |
0.316457 | + | 0.948607i | \(0.397507\pi\) | |||||||
\(720\) | 0.333949 | + | 1.88898i | 0.0124456 | + | 0.0703980i | ||||
\(721\) | 56.2905 | − | 38.8545i | 2.09637 | − | 1.44702i | ||||
\(722\) | −12.7503 | − | 11.2957i | −0.474515 | − | 0.420384i | ||||
\(723\) | 2.83529 | − | 23.3507i | 0.105446 | − | 0.868423i | ||||
\(724\) | 2.13964 | − | 17.6215i | 0.0795190 | − | 0.654898i | ||||
\(725\) | −37.3162 | + | 25.0731i | −1.38589 | + | 0.931190i | ||||
\(726\) | −15.5046 | + | 5.88011i | −0.575429 | + | 0.218231i | ||||
\(727\) | −36.9210 | + | 25.4848i | −1.36933 | + | 0.945177i | −0.369453 | + | 0.929249i | \(0.620455\pi\) |
−0.999873 | + | 0.0159280i | \(0.994930\pi\) | |||||||
\(728\) | 47.7763 | + | 13.6859i | 1.77071 | + | 0.507234i | ||||
\(729\) | −16.0793 | + | 23.2949i | −0.595531 | + | 0.862775i | ||||
\(730\) | −6.21814 | − | 8.04013i | −0.230144 | − | 0.297578i | ||||
\(731\) | −17.8873 | + | 9.38798i | −0.661586 | + | 0.347227i | ||||
\(732\) | −0.712687 | + | 0.270287i | −0.0263417 | + | 0.00999008i | ||||
\(733\) | 9.49536 | − | 25.0372i | 0.350719 | − | 0.924770i | −0.637325 | − | 0.770596i | \(-0.719959\pi\) |
0.988044 | − | 0.154175i | \(-0.0492718\pi\) | |||||||
\(734\) | −13.9138 | + | 1.68944i | −0.513568 | + | 0.0623584i | ||||
\(735\) | −35.4367 | + | 27.4063i | −1.30710 | + | 1.01090i | ||||
\(736\) | 14.9050 | − | 28.3992i | 0.549406 | − | 1.04681i | ||||
\(737\) | −7.70310 | + | 5.31707i | −0.283747 | + | 0.195857i | ||||
\(738\) | 0.349535 | − | 1.41812i | 0.0128666 | − | 0.0522017i | ||||
\(739\) | 9.37556 | + | 38.0381i | 0.344885 | + | 1.39925i | 0.845681 | + | 0.533689i | \(0.179195\pi\) |
−0.500795 | + | 0.865566i | \(0.666959\pi\) | |||||||
\(740\) | −3.82092 | + | 11.9966i | −0.140460 | + | 0.441005i | ||||
\(741\) | −16.1244 | − | 25.3330i | −0.592345 | − | 0.930629i | ||||
\(742\) | −2.55013 | − | 0.967136i | −0.0936181 | − | 0.0355047i | ||||
\(743\) | 0.710243 | − | 5.84938i | 0.0260563 | − | 0.214593i | −0.973865 | − | 0.227127i | \(-0.927067\pi\) |
0.999921 | + | 0.0125342i | \(0.00398985\pi\) | |||||||
\(744\) | −5.88621 | − | 3.08932i | −0.215799 | − | 0.113260i | ||||
\(745\) | 0.0869733 | + | 0.145929i | 0.00318646 | + | 0.00534641i | ||||
\(746\) | 1.28714i | 0.0471254i | ||||||||
\(747\) | −5.91493 | + | 15.5964i | −0.216416 | + | 0.570642i | ||||
\(748\) | 21.8051 | − | 5.37447i | 0.797273 | − | 0.196510i | ||||
\(749\) | −58.7931 | − | 66.3637i | −2.14825 | − | 2.42488i | ||||
\(750\) | 11.6197 | + | 9.46125i | 0.424293 | + | 0.345476i | ||||
\(751\) | −8.82540 | + | 7.81863i | −0.322044 | + | 0.285306i | −0.808619 | − | 0.588333i | \(-0.799784\pi\) |
0.486575 | + | 0.873639i | \(0.338246\pi\) | |||||||
\(752\) | 0.280422 | + | 2.30948i | 0.0102259 | + | 0.0842181i | ||||
\(753\) | 34.2513 | − | 4.15886i | 1.24819 | − | 0.151557i | ||||
\(754\) | 27.3483 | + | 15.6822i | 0.995966 | + | 0.571111i | ||||
\(755\) | 17.3088 | + | 17.5271i | 0.629933 | + | 0.637876i | ||||
\(756\) | − | 27.6525i | − | 1.00571i | ||||||
\(757\) | −25.4877 | + | 3.09476i | −0.926365 | + | 0.112481i | −0.569794 | − | 0.821787i | \(-0.692977\pi\) |
−0.356570 | + | 0.934268i | \(0.616054\pi\) | |||||||
\(758\) | −13.9817 | − | 26.6399i | −0.507838 | − | 0.967604i | ||||
\(759\) | 38.5579 | − | 14.6231i | 1.39956 | − | 0.530785i | ||||
\(760\) | 2.17221 | + | 40.0754i | 0.0787945 | + | 1.45369i | ||||
\(761\) | −13.1937 | − | 14.8926i | −0.478270 | − | 0.539855i | 0.459011 | − | 0.888431i | \(-0.348204\pi\) |
−0.937281 | + | 0.348575i | \(0.886666\pi\) | |||||||
\(762\) | 5.35786 | + | 14.1275i | 0.194095 | + | 0.511785i | ||||
\(763\) | 30.9228 | + | 58.9185i | 1.11948 | + | 2.13299i | ||||
\(764\) | 1.88313 | + | 15.5090i | 0.0681292 | + | 0.561094i | ||||
\(765\) | 6.73929 | − | 8.49194i | 0.243660 | − | 0.307027i | ||||
\(766\) | 3.09546 | − | 25.4934i | 0.111844 | − | 0.921115i | ||||
\(767\) | 19.2429 | + | 23.4269i | 0.694822 | + | 0.845897i | ||||
\(768\) | −23.3088 | + | 2.83020i | −0.841082 | + | 0.102126i | ||||
\(769\) | 40.5828 | − | 4.92764i | 1.46345 | − | 0.177695i | 0.650270 | − | 0.759703i | \(-0.274656\pi\) |
0.813183 | + | 0.582008i | \(0.197733\pi\) | |||||||
\(770\) | −2.64040 | − | 48.7130i | −0.0951533 | − | 1.75549i | ||||
\(771\) | −1.63738 | − | 0.403577i | −0.0589687 | − | 0.0145345i | ||||
\(772\) | 5.94317 | − | 5.26519i | 0.213899 | − | 0.189498i | ||||
\(773\) | −23.5025 | + | 5.79285i | −0.845326 | + | 0.208354i | −0.638114 | − | 0.769942i | \(-0.720285\pi\) |
−0.207212 | + | 0.978296i | \(0.566439\pi\) | |||||||
\(774\) | −4.58785 | − | 1.73994i | −0.164907 | − | 0.0625410i | ||||
\(775\) | 7.90733 | − | 1.84420i | 0.284040 | − | 0.0662457i | ||||
\(776\) | 9.82558 | − | 25.9079i | 0.352718 | − | 0.930040i | ||||
\(777\) | −15.8732 | + | 30.2439i | −0.569450 | + | 1.08500i | ||||
\(778\) | −0.155134 | + | 1.27764i | −0.00556182 | + | 0.0458057i | ||||
\(779\) | 2.92469 | − | 7.71177i | 0.104788 | − | 0.276303i | ||||
\(780\) | −2.61203 | + | 11.4210i | −0.0935257 | + | 0.408937i | ||||
\(781\) | 9.66379 | + | 25.4813i | 0.345798 | + | 0.911793i | ||||
\(782\) | 25.7449 | − | 6.34555i | 0.920637 | − | 0.226917i | ||||
\(783\) | 12.1607 | − | 49.3379i | 0.434588 | − | 1.76319i | ||||
\(784\) | −6.43724 | − | 9.32595i | −0.229901 | − | 0.333070i | ||||
\(785\) | 1.70169 | − | 0.753082i | 0.0607358 | − | 0.0268786i | ||||
\(786\) | −4.94430 | + | 20.0598i | −0.176357 | + | 0.715510i | ||||
\(787\) | −4.72634 | − | 38.9249i | −0.168476 | − | 1.38752i | −0.794284 | − | 0.607547i | \(-0.792154\pi\) |
0.625808 | − | 0.779977i | \(-0.284769\pi\) | |||||||
\(788\) | −9.38309 | + | 24.7412i | −0.334259 | + | 0.881367i | ||||
\(789\) | −7.17646 | − | 18.9228i | −0.255489 | − | 0.673668i | ||||
\(790\) | 0.909052 | + | 0.172483i | 0.0323426 | + | 0.00613668i | ||||
\(791\) | −2.44043 | + | 9.90121i | −0.0867717 | + | 0.352046i | ||||
\(792\) | 13.0046 | + | 8.97643i | 0.462098 | + | 0.318963i | ||||
\(793\) | −1.88987 | − | 0.0705752i | −0.0671111 | − | 0.00250620i | ||||
\(794\) | −2.73690 | − | 3.96508i | −0.0971288 | − | 0.140715i | ||||
\(795\) | 0.565244 | − | 1.77471i | 0.0200471 | − | 0.0629425i | ||||
\(796\) | −6.93406 | − | 18.2836i | −0.245771 | − | 0.648046i | ||||
\(797\) | 18.3383 | + | 2.22667i | 0.649575 | + | 0.0788727i | 0.438690 | − | 0.898638i | \(-0.355442\pi\) |
0.210885 | + | 0.977511i | \(0.432366\pi\) | |||||||
\(798\) | −4.53040 | + | 37.3112i | −0.160374 | + | 1.32080i | ||||
\(799\) | 8.71873 | − | 9.84142i | 0.308447 | − | 0.348164i | ||||
\(800\) | 17.4241 | − | 19.1781i | 0.616035 | − | 0.678049i | ||||
\(801\) | −4.84700 | + | 5.47114i | −0.171260 | + | 0.193313i | ||||
\(802\) | 1.09263 | − | 2.08183i | 0.0385821 | − | 0.0735120i | ||||
\(803\) | −22.4335 | − | 2.72392i | −0.791661 | − | 0.0961250i | ||||
\(804\) | −2.63063 | − | 0.997666i | −0.0927751 | − | 0.0351850i | ||||
\(805\) | 3.47596 | + | 64.1283i | 0.122511 | + | 2.26023i | ||||
\(806\) | −3.61394 | − | 4.39972i | −0.127296 | − | 0.154973i | ||||
\(807\) | −7.34394 | + | 8.28959i | −0.258519 | + | 0.291807i | ||||
\(808\) | 22.8844 | − | 12.0107i | 0.805071 | − | 0.422534i | ||||
\(809\) | 0.723957 | − | 1.04883i | 0.0254530 | − | 0.0368750i | −0.810051 | − | 0.586360i | \(-0.800561\pi\) |
0.835504 | + | 0.549485i | \(0.185176\pi\) | |||||||
\(810\) | −9.74377 | + | 0.528144i | −0.342361 | + | 0.0185571i | ||||
\(811\) | −0.567318 | − | 2.30170i | −0.0199212 | − | 0.0808237i | 0.960140 | − | 0.279520i | \(-0.0901754\pi\) |
−0.980061 | + | 0.198696i | \(0.936329\pi\) | |||||||
\(812\) | 15.6010 | + | 41.1364i | 0.547487 | + | 1.44360i | ||||
\(813\) | −10.3902 | − | 5.45318i | −0.364399 | − | 0.191251i | ||||
\(814\) | −11.6673 | − | 22.2301i | −0.408938 | − | 0.779166i | ||||
\(815\) | −3.53182 | − | 1.61623i | −0.123714 | − | 0.0566140i | ||||
\(816\) | −3.54320 | − | 3.13900i | −0.124037 | − | 0.109887i | ||||
\(817\) | −24.5342 | − | 12.8766i | −0.858345 | − | 0.450494i | ||||
\(818\) | 2.72908 | + | 5.19982i | 0.0954200 | + | 0.181808i | ||||
\(819\) | 7.16732 | − | 16.9609i | 0.250446 | − | 0.592662i | ||||
\(820\) | −2.94257 | + | 1.30224i | −0.102759 | + | 0.0454760i | ||||
\(821\) | −1.76349 | + | 1.21725i | −0.0615462 | + | 0.0424823i | −0.598441 | − | 0.801167i | \(-0.704213\pi\) |
0.536894 | + | 0.843649i | \(0.319597\pi\) | |||||||
\(822\) | 25.4894i | 0.889046i | ||||||||
\(823\) | − | 31.4530i | − | 1.09638i | −0.836353 | − | 0.548191i | \(-0.815317\pi\) | ||
0.836353 | − | 0.548191i | \(-0.184683\pi\) | |||||||
\(824\) | −36.0274 | + | 24.8679i | −1.25508 | + | 0.866316i | ||||
\(825\) | 33.1204 | − | 3.60104i | 1.15310 | − | 0.125372i | ||||
\(826\) | − | 37.9452i | − | 1.32028i | ||||||
\(827\) | 0.612676 | + | 5.04584i | 0.0213048 | + | 0.175461i | 0.999477 | − | 0.0323346i | \(-0.0102942\pi\) |
−0.978172 | + | 0.207796i | \(0.933371\pi\) | |||||||
\(828\) | −5.90981 | − | 4.07925i | −0.205380 | − | 0.141764i | ||||
\(829\) | 46.7158 | − | 11.5144i | 1.62251 | − | 0.399912i | 0.679762 | − | 0.733432i | \(-0.262083\pi\) |
0.942743 | + | 0.333521i | \(0.108237\pi\) | |||||||
\(830\) | −31.5278 | + | 9.60819i | −1.09435 | + | 0.333505i | ||||
\(831\) | 17.2851 | − | 4.26040i | 0.599614 | − | 0.147792i | ||||
\(832\) | −22.8715 | − | 6.55175i | −0.792928 | − | 0.227141i | ||||
\(833\) | −15.3264 | + | 62.1816i | −0.531028 | + | 2.15447i | ||||
\(834\) | −5.27480 | − | 5.95401i | −0.182651 | − | 0.206171i | ||||
\(835\) | −2.24899 | + | 33.6780i | −0.0778296 | + | 1.16547i | ||||
\(836\) | 23.0563 | + | 20.4261i | 0.797420 | + | 0.706453i | ||||
\(837\) | −5.21334 | + | 7.55283i | −0.180199 | + | 0.261064i | ||||
\(838\) | 19.6086 | − | 28.4079i | 0.677367 | − | 0.981336i | ||||
\(839\) | 19.9262 | + | 37.9662i | 0.687929 | + | 1.31074i | 0.939383 | + | 0.342870i | \(0.111399\pi\) |
−0.251454 | + | 0.967869i | \(0.580909\pi\) | |||||||
\(840\) | 33.6024 | − | 25.9877i | 1.15939 | − | 0.896661i | ||||
\(841\) | 6.24938 | + | 51.4683i | 0.215496 | + | 1.77477i | ||||
\(842\) | 9.78859 | + | 3.71232i | 0.337337 | + | 0.127935i | ||||
\(843\) | 24.0510 | + | 21.3074i | 0.828362 | + | 0.733865i | ||||
\(844\) | −2.84661 | −0.0979845 | ||||||||
\(845\) | −17.0000 | + | 23.5796i | −0.584818 | + | 0.811165i | ||||
\(846\) | 3.19354 | 0.109796 | ||||||||
\(847\) | −42.9771 | − | 38.0744i | −1.47671 | − | 1.30825i | ||||
\(848\) | 0.440524 | + | 0.167069i | 0.0151277 | + | 0.00573717i | ||||
\(849\) | 0.139032 | + | 1.14503i | 0.00477158 | + | 0.0392975i | ||||
\(850\) | 21.4199 | + | 0.268407i | 0.734695 | + | 0.00920628i | ||||
\(851\) | 15.3594 | + | 29.2649i | 0.526514 | + | 1.00319i | ||||
\(852\) | −4.65336 | + | 6.74155i | −0.159421 | + | 0.230962i | ||||
\(853\) | 2.59062 | − | 3.75316i | 0.0887011 | − | 0.128506i | −0.776121 | − | 0.630584i | \(-0.782816\pi\) |
0.864822 | + | 0.502078i | \(0.167431\pi\) | |||||||
\(854\) | 1.77176 | + | 1.56964i | 0.0606283 | + | 0.0537120i | ||||
\(855\) | 14.8367 | + | 0.990786i | 0.507405 | + | 0.0338842i | ||||
\(856\) | 37.6292 | + | 42.4746i | 1.28614 | + | 1.45175i | ||||
\(857\) | 4.42544 | − | 17.9547i | 0.151170 | − | 0.613321i | −0.845657 | − | 0.533727i | \(-0.820791\pi\) |
0.996827 | − | 0.0795949i | \(-0.0253627\pi\) | |||||||
\(858\) | −12.5444 | − | 19.7084i | −0.428258 | − | 0.672833i | ||||
\(859\) | −38.1255 | + | 9.39710i | −1.30083 | + | 0.320625i | −0.828098 | − | 0.560583i | \(-0.810577\pi\) |
−0.472728 | + | 0.881208i | \(0.656731\pi\) | |||||||
\(860\) | 3.15136 | + | 10.3407i | 0.107461 | + | 0.352616i | ||||
\(861\) | −8.47597 | + | 2.08914i | −0.288860 | + | 0.0711977i | ||||
\(862\) | −19.1231 | − | 13.1997i | −0.651334 | − | 0.449584i | ||||
\(863\) | 5.00036 | + | 41.1817i | 0.170214 | + | 1.40184i | 0.788087 | + | 0.615563i | \(0.211072\pi\) |
−0.617873 | + | 0.786278i | \(0.712005\pi\) | |||||||
\(864\) | 29.2872i | 0.996370i | ||||||||
\(865\) | −0.274221 | − | 0.277679i | −0.00932381 | − | 0.00944138i | ||||
\(866\) | 14.6607 | − | 10.1196i | 0.498192 | − | 0.343877i | ||||
\(867\) | 3.32244i | 0.112836i | ||||||||
\(868\) | − | 7.94581i | − | 0.269698i | ||||||
\(869\) | 1.69304 | − | 1.16862i | 0.0574324 | − | 0.0396427i | ||||
\(870\) | 24.6412 | − | 10.9050i | 0.835416 | − | 0.369714i | ||||
\(871\) | −5.04869 | − | 4.82077i | −0.171068 | − | 0.163346i | ||||
\(872\) | −19.7914 | − | 37.7095i | −0.670223 | − | 1.27700i | ||||
\(873\) | −9.09012 | − | 4.77086i | −0.307654 | − | 0.161469i | ||||
\(874\) | 27.2223 | + | 24.1168i | 0.920807 | + | 0.815764i | ||||
\(875\) | −10.3100 | + | 50.8500i | −0.348541 | + | 1.71904i | ||||
\(876\) | −3.15672 | − | 6.01462i | −0.106656 | − | 0.203215i | ||||
\(877\) | −7.37168 | − | 3.86896i | −0.248924 | − | 0.130645i | 0.335647 | − | 0.941988i | \(-0.391045\pi\) |
−0.584571 | + | 0.811342i | \(0.698737\pi\) | |||||||
\(878\) | 9.81939 | + | 25.8916i | 0.331388 | + | 0.873799i | ||||
\(879\) | 1.56087 | + | 6.33269i | 0.0526468 | + | 0.213596i | ||||
\(880\) | 0.456118 | + | 8.41497i | 0.0153757 | + | 0.283669i | ||||
\(881\) | −21.2272 | + | 30.7529i | −0.715163 | + | 1.03609i | 0.281895 | + | 0.959445i | \(0.409037\pi\) |
−0.997058 | + | 0.0766476i | \(0.975578\pi\) | |||||||
\(882\) | −13.7736 | + | 7.22895i | −0.463782 | + | 0.243412i | ||||
\(883\) | 31.0550 | − | 35.0538i | 1.04508 | − | 1.17966i | 0.0617035 | − | 0.998095i | \(-0.480347\pi\) |
0.983380 | − | 0.181561i | \(-0.0581148\pi\) | |||||||
\(884\) | 7.22471 | + | 15.1105i | 0.242993 | + | 0.508221i | ||||
\(885\) | 25.8753 | − | 1.40252i | 0.869789 | − | 0.0471453i | ||||
\(886\) | 21.6692 | + | 8.21804i | 0.727990 | + | 0.276090i | ||||
\(887\) | 5.38390 | + | 0.653724i | 0.180774 | + | 0.0219499i | 0.210423 | − | 0.977610i | \(-0.432516\pi\) |
−0.0296491 | + | 0.999560i | \(0.509439\pi\) | |||||||
\(888\) | 10.1593 | − | 19.3569i | 0.340924 | − | 0.649577i | ||||
\(889\) | −34.6927 | + | 39.1600i | −1.16356 | + | 1.31338i | ||||
\(890\) | −14.4108 | − | 0.962342i | −0.483050 | − | 0.0322578i | ||||
\(891\) | −14.3868 | + | 16.2393i | −0.481976 | + | 0.544038i | ||||
\(892\) | 3.57848 | − | 29.4714i | 0.119816 | − | 0.986776i | ||||
\(893\) | 17.9023 | + | 2.17373i | 0.599078 | + | 0.0727413i | ||||
\(894\) | −0.0361069 | − | 0.0952061i | −0.00120760 | − | 0.00318417i | ||||
\(895\) | −4.79507 | + | 15.0552i | −0.160281 | + | 0.503239i | ||||
\(896\) | −10.4075 | − | 15.0778i | −0.347690 | − | 0.503715i | ||||
\(897\) | 16.5141 | + | 25.9451i | 0.551389 | + | 0.866283i | ||||
\(898\) | 27.4501 | + | 18.9475i | 0.916023 | + | 0.632285i | ||||
\(899\) | 3.49432 | − | 14.1770i | 0.116542 | − | 0.472830i | ||||
\(900\) | −3.79234 | − | 4.39029i | −0.126411 | − | 0.146343i | ||||
\(901\) | −0.944197 | − | 2.48964i | −0.0314558 | − | 0.0829420i | ||||
\(902\) | 2.27533 | − | 5.99955i | 0.0757602 | − | 0.199763i | ||||
\(903\) | 3.53497 | + | 29.1131i | 0.117637 | + | 0.968824i | ||||
\(904\) | 1.56194 | − | 6.33704i | 0.0519494 | − | 0.210767i | ||||
\(905\) | −15.2348 | − | 34.4250i | −0.506423 | − | 1.14433i | ||||
\(906\) | −8.38724 | − | 12.1510i | −0.278647 | − | 0.403691i | ||||
\(907\) | 2.27694 | − | 9.23791i | 0.0756046 | − | 0.306740i | −0.920950 | − | 0.389681i | \(-0.872585\pi\) |
0.996554 | + | 0.0829412i | \(0.0264314\pi\) | |||||||
\(908\) | 12.9545 | − | 3.19301i | 0.429912 | − | 0.105964i | ||||
\(909\) | −3.39553 | − | 8.95326i | −0.112622 | − | 0.296961i | ||||
\(910\) | 35.1745 | − | 9.30012i | 1.16602 | − | 0.308296i | ||||
\(911\) | −2.84518 | + | 7.50212i | −0.0942650 | + | 0.248556i | −0.973853 | − | 0.227180i | \(-0.927049\pi\) |
0.879588 | + | 0.475737i | \(0.157818\pi\) | |||||||
\(912\) | 0.782609 | − | 6.44536i | 0.0259148 | − | 0.213427i | ||||
\(913\) | −34.0549 | + | 64.8862i | −1.12705 | + | 2.14742i | ||||
\(914\) | −4.46227 | + | 11.7660i | −0.147599 | + | 0.389186i | ||||
\(915\) | −1.00487 | + | 1.26620i | −0.0332200 | + | 0.0418593i | ||||
\(916\) | −14.7261 | − | 5.58486i | −0.486563 | − | 0.184529i | ||||
\(917\) | −69.4584 | + | 17.1200i | −2.29372 | + | 0.565351i | ||||
\(918\) | −18.1232 | + | 16.0558i | −0.598156 | + | 0.529920i | ||||
\(919\) | −21.8403 | − | 5.38314i | −0.720444 | − | 0.177573i | −0.137986 | − | 0.990434i | \(-0.544063\pi\) |
−0.582458 | + | 0.812861i | \(0.697909\pi\) | |||||||
\(920\) | −2.22471 | − | 41.0438i | −0.0733464 | − | 1.35318i | ||||
\(921\) | −25.1648 | + | 3.05556i | −0.829209 | + | 0.100684i | ||||
\(922\) | −1.85309 | + | 0.225006i | −0.0610282 | + | 0.00741016i | ||||
\(923\) | −17.1460 | + | 10.9134i | −0.564369 | + | 0.359220i | ||||
\(924\) | 3.92982 | − | 32.3650i | 0.129282 | − | 1.06473i | ||||
\(925\) | 6.06470 | + | 26.0034i | 0.199406 | + | 0.854988i | ||||
\(926\) | −1.81284 | − | 14.9301i | −0.0595737 | − | 0.490634i | ||||
\(927\) | 7.53747 | + | 14.3614i | 0.247563 | + | 0.471692i | ||||
\(928\) | −16.5232 | − | 43.5682i | −0.542402 | − | 1.43020i | ||||
\(929\) | −22.7659 | − | 25.6973i | −0.746924 | − | 0.843103i | 0.245055 | − | 0.969509i | \(-0.421194\pi\) |
−0.991979 | + | 0.126407i | \(0.959656\pi\) | |||||||
\(930\) | −4.85954 | + | 0.263403i | −0.159351 | + | 0.00863731i | ||||
\(931\) | −82.1326 | + | 31.1488i | −2.69179 | + | 1.02086i | ||||
\(932\) | 8.37665 | + | 15.9604i | 0.274386 | + | 0.522799i | ||||
\(933\) | 20.9450 | − | 2.54318i | 0.685708 | − | 0.0832601i | ||||
\(934\) | − | 12.8910i | − | 0.421805i | ||||||
\(935\) | 33.8880 | − | 33.4660i | 1.10826 | − | 1.09446i | ||||
\(936\) | −4.58728 | + | 10.8554i | −0.149940 | + | 0.354821i | ||||
\(937\) | 20.8289 | − | 2.52909i | 0.680450 | − | 0.0826216i | 0.226989 | − | 0.973897i | \(-0.427112\pi\) |
0.453462 | + | 0.891276i | \(0.350189\pi\) | |||||||
\(938\) | 1.05314 | + | 8.67339i | 0.0343863 | + | 0.283196i | ||||
\(939\) | 10.4771 | − | 9.28189i | 0.341907 | − | 0.302903i | ||||
\(940\) | −4.30437 | − | 5.56559i | −0.140393 | − | 0.181530i | ||||
\(941\) | 13.3160 | + | 15.0306i | 0.434089 | + | 0.489985i | 0.924326 | − | 0.381604i | \(-0.124628\pi\) |
−0.490237 | + | 0.871589i | \(0.663090\pi\) | |||||||
\(942\) | −1.08296 | + | 0.266925i | −0.0352847 | + | 0.00869689i | ||||
\(943\) | −2.99536 | + | 7.89813i | −0.0975425 | + | 0.257198i | ||||
\(944\) | 6.55489i | 0.213343i | ||||||||
\(945\) | −30.0239 | − | 50.3758i | −0.976677 | − | 1.63872i | ||||
\(946\) | −19.0870 | − | 10.0176i | −0.620572 | − | 0.325701i | ||||
\(947\) | 2.67688 | − | 22.0461i | 0.0869869 | − | 0.716402i | −0.882338 | − | 0.470617i | \(-0.844031\pi\) |
0.969324 | − | 0.245785i | \(-0.0790456\pi\) | |||||||
\(948\) | 0.578176 | + | 0.219273i | 0.0187783 | + | 0.00712167i | ||||
\(949\) | −1.40571 | − | 16.7950i | −0.0456313 | − | 0.545187i | ||||
\(950\) | 16.3865 | + | 24.3880i | 0.531647 | + | 0.791250i | ||||
\(951\) | 0.549989 | + | 2.23139i | 0.0178346 | + | 0.0723578i | ||||
\(952\) | 14.5331 | − | 58.9630i | 0.471019 | − | 1.91100i | ||||
\(953\) | −22.2264 | + | 15.3417i | −0.719982 | + | 0.496968i | −0.870827 | − | 0.491590i | \(-0.836416\pi\) |
0.150845 | + | 0.988557i | \(0.451801\pi\) | |||||||
\(954\) | 0.300555 | − | 0.572660i | 0.00973084 | − | 0.0185406i | ||||
\(955\) | 20.2696 | + | 26.2088i | 0.655908 | + | 0.848096i | ||||
\(956\) | −28.2117 | + | 3.42552i | −0.912433 | + | 0.110789i | ||||
\(957\) | 21.2448 | − | 56.0178i | 0.686746 | − | 1.81080i | ||||
\(958\) | −33.2680 | + | 12.6169i | −1.07484 | + | 0.407633i | ||||
\(959\) | −78.1493 | + | 41.0159i | −2.52357 | + | 1.32447i | ||||
\(960\) | −16.0862 | + | 12.4409i | −0.519179 | + | 0.401528i | ||||
\(961\) | 16.1120 | − | 23.3422i | 0.519741 | − | 0.752975i | ||||
\(962\) | 14.4686 | − | 11.8845i | 0.466486 | − | 0.383173i | ||||
\(963\) | 17.3026 | − | 11.9431i | 0.557569 | − | 0.384862i | ||||
\(964\) | −16.8254 | + | 6.38103i | −0.541910 | + | 0.205519i | ||||
\(965\) | 5.11023 | − | 16.0447i | 0.164504 | − | 0.516497i | ||||
\(966\) | 4.63988 | − | 38.2128i | 0.149286 | − | 1.22948i | ||||
\(967\) | −6.73045 | + | 55.4302i | −0.216437 | + | 1.78252i | 0.328966 | + | 0.944342i | \(0.393300\pi\) |
−0.545403 | + | 0.838174i | \(0.683623\pi\) | |||||||
\(968\) | 27.5065 | + | 24.3686i | 0.884092 | + | 0.783237i | ||||
\(969\) | −30.1984 | + | 20.8444i | −0.970112 | + | 0.669620i | ||||
\(970\) | −3.53141 | − | 19.9753i | −0.113387 | − | 0.641369i | ||||
\(971\) | 11.6841 | + | 6.13230i | 0.374961 | + | 0.196795i | 0.641667 | − | 0.766983i | \(-0.278243\pi\) |
−0.266706 | + | 0.963778i | \(0.585935\pi\) | |||||||
\(972\) | 11.2719 | + | 1.36866i | 0.361546 | + | 0.0438997i | ||||
\(973\) | 9.76685 | − | 25.7531i | 0.313111 | − | 0.825606i | ||||
\(974\) | −11.2560 | + | 9.97192i | −0.360665 | + | 0.319521i | ||||
\(975\) | 7.64198 | + | 23.6422i | 0.244739 | + | 0.757156i | ||||
\(976\) | −0.306064 | − | 0.271149i | −0.00979688 | − | 0.00867928i | ||||
\(977\) | −28.8951 | + | 15.1653i | −0.924437 | + | 0.485182i | −0.858599 | − | 0.512649i | \(-0.828664\pi\) |
−0.0658381 | + | 0.997830i | \(0.520972\pi\) | |||||||
\(978\) | 1.91593 | + | 1.32247i | 0.0612646 | + | 0.0422879i | ||||
\(979\) | −24.0358 | + | 21.2938i | −0.768186 | + | 0.680554i | ||||
\(980\) | 31.1630 | + | 14.2608i | 0.995465 | + | 0.455544i | ||||
\(981\) | −14.7534 | + | 5.59522i | −0.471039 | + | 0.178642i | ||||
\(982\) | 32.4167 | + | 17.0136i | 1.03446 | + | 0.542926i | ||||
\(983\) | 26.6376 | − | 13.9805i | 0.849607 | − | 0.445908i | 0.0170545 | − | 0.999855i | \(-0.494571\pi\) |
0.832552 | + | 0.553947i | \(0.186879\pi\) | |||||||
\(984\) | 5.42485 | − | 1.33711i | 0.172938 | − | 0.0426254i | ||||
\(985\) | 9.76933 | + | 55.2599i | 0.311277 | + | 1.76073i | ||||
\(986\) | 17.9021 | − | 34.1097i | 0.570121 | − | 1.08627i | ||||
\(987\) | −8.87039 | − | 16.9011i | −0.282348 | − | 0.537969i | ||||
\(988\) | −11.4276 | + | 19.9287i | −0.363561 | + | 0.634018i | ||||
\(989\) | 25.1271 | + | 13.1877i | 0.798996 | + | 0.419346i | ||||
\(990\) | 11.5426 | + | 0.770805i | 0.366847 | + | 0.0244978i | ||||
\(991\) | 50.8989 | 1.61686 | 0.808428 | − | 0.588595i | \(-0.200319\pi\) | ||||
0.808428 | + | 0.588595i | \(0.200319\pi\) | |||||||
\(992\) | 8.41554i | 0.267194i | ||||||||
\(993\) | −0.142813 | − | 0.206901i | −0.00453205 | − | 0.00656581i | ||||
\(994\) | 25.2533 | + | 3.06630i | 0.800985 | + | 0.0972571i | ||||
\(995\) | −32.4837 | − | 25.7794i | −1.02980 | − | 0.817262i | ||||
\(996\) | −21.8662 | + | 2.65504i | −0.692857 | + | 0.0841281i | ||||
\(997\) | 33.0550 | + | 22.8162i | 1.04686 | + | 0.722596i | 0.961793 | − | 0.273779i | \(-0.0882736\pi\) |
0.0850688 | + | 0.996375i | \(0.472889\pi\) | |||||||
\(998\) | −5.60209 | − | 22.7286i | −0.177331 | − | 0.719460i | ||||
\(999\) | −24.8377 | − | 17.1442i | −0.785829 | − | 0.542418i |
(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 | 845.2.v.a.389.57 | yes | 1056 | |
5.4 | even | 2 | inner | 845.2.v.a.389.32 | ✓ | 1056 | |
169.116 | even | 26 | inner | 845.2.v.a.454.32 | yes | 1056 | |
845.454 | even | 26 | inner | 845.2.v.a.454.57 | yes | 1056 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.v.a.389.32 | ✓ | 1056 | 5.4 | even | 2 | inner | |
845.2.v.a.389.57 | yes | 1056 | 1.1 | even | 1 | trivial | |
845.2.v.a.454.32 | yes | 1056 | 169.116 | even | 26 | inner | |
845.2.v.a.454.57 | yes | 1056 | 845.454 | even | 26 | inner |