Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(87,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.87");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.t (of order \(6\), degree \(2\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 87.5 | ||
Character | \(\chi\) | \(=\) | 572.87 |
Dual form | 572.2.t.a.263.5 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39552 | + | 0.229204i | −0.986779 | + | 0.162072i | ||||
\(3\) | 2.08234 | + | 1.20224i | 1.20224 | + | 0.694114i | 0.961053 | − | 0.276364i | \(-0.0891297\pi\) |
0.241188 | + | 0.970478i | \(0.422463\pi\) | |||||||
\(4\) | 1.89493 | − | 0.639716i | 0.947466 | − | 0.319858i | ||||
\(5\) | −2.36335 | −1.05692 | −0.528460 | − | 0.848958i | \(-0.677230\pi\) | ||||
−0.528460 | + | 0.848958i | \(0.677230\pi\) | |||||||
\(6\) | −3.18150 | − | 1.20047i | −1.29884 | − | 0.490088i | ||||
\(7\) | −1.42248 | − | 2.46380i | −0.537646 | − | 0.931230i | −0.999030 | − | 0.0440296i | \(-0.985980\pi\) |
0.461384 | − | 0.887200i | \(-0.347353\pi\) | |||||||
\(8\) | −2.49778 | + | 1.32706i | −0.883099 | + | 0.469186i | ||||
\(9\) | 1.39077 | + | 2.40888i | 0.463589 | + | 0.802959i | ||||
\(10\) | 3.29809 | − | 0.541689i | 1.04295 | − | 0.171297i | ||||
\(11\) | −3.21380 | − | 0.819455i | −0.968996 | − | 0.247075i | ||||
\(12\) | 4.71499 | + | 0.946056i | 1.36110 | + | 0.273103i | ||||
\(13\) | −2.34026 | − | 2.74285i | −0.649070 | − | 0.760729i | ||||
\(14\) | 2.54980 | + | 3.11224i | 0.681464 | + | 0.831781i | ||||
\(15\) | −4.92130 | − | 2.84131i | −1.27067 | − | 0.733623i | ||||
\(16\) | 3.18153 | − | 2.42444i | 0.795382 | − | 0.606109i | ||||
\(17\) | −1.53626 | + | 0.886961i | −0.372598 | + | 0.215120i | −0.674593 | − | 0.738190i | \(-0.735681\pi\) |
0.301995 | + | 0.953310i | \(0.402348\pi\) | |||||||
\(18\) | −2.49296 | − | 3.04286i | −0.587596 | − | 0.717208i | ||||
\(19\) | 0.0598616 | + | 0.103683i | 0.0137332 | + | 0.0237866i | 0.872810 | − | 0.488060i | \(-0.162295\pi\) |
−0.859077 | + | 0.511846i | \(0.828962\pi\) | |||||||
\(20\) | −4.47838 | + | 1.51187i | −1.00140 | + | 0.338064i | ||||
\(21\) | − | 6.84064i | − | 1.49275i | ||||||
\(22\) | 4.67273 | + | 0.406948i | 0.996229 | + | 0.0867615i | ||||
\(23\) | −5.93594 | − | 3.42711i | −1.23773 | − | 0.714603i | −0.269099 | − | 0.963113i | \(-0.586726\pi\) |
−0.968629 | + | 0.248510i | \(0.920059\pi\) | |||||||
\(24\) | −6.79668 | − | 0.239542i | −1.38737 | − | 0.0488963i | ||||
\(25\) | 0.585406 | 0.117081 | ||||||||
\(26\) | 3.89454 | + | 3.29129i | 0.763781 | + | 0.645475i | ||||
\(27\) | − | 0.525304i | − | 0.101095i | ||||||
\(28\) | −4.27163 | − | 3.75875i | −0.807262 | − | 0.710338i | ||||
\(29\) | −2.88768 | − | 1.66721i | −0.536229 | − | 0.309592i | 0.207320 | − | 0.978273i | \(-0.433526\pi\) |
−0.743549 | + | 0.668681i | \(0.766859\pi\) | |||||||
\(30\) | 7.51899 | + | 2.83712i | 1.37277 | + | 0.517984i | ||||
\(31\) | 6.06160i | 1.08870i | 0.838860 | + | 0.544348i | \(0.183223\pi\) | ||||
−0.838860 | + | 0.544348i | \(0.816777\pi\) | |||||||
\(32\) | −3.88418 | + | 4.11256i | −0.686633 | + | 0.727004i | ||||
\(33\) | −5.70704 | − | 5.57014i | −0.993469 | − | 0.969638i | ||||
\(34\) | 1.94058 | − | 1.58989i | 0.332807 | − | 0.272663i | ||||
\(35\) | 3.36181 | + | 5.82282i | 0.568249 | + | 0.984236i | ||||
\(36\) | 4.17640 | + | 3.67496i | 0.696067 | + | 0.612493i | ||||
\(37\) | 2.26363 | − | 3.92072i | 0.372139 | − | 0.644563i | −0.617756 | − | 0.786370i | \(-0.711958\pi\) |
0.989894 | + | 0.141807i | \(0.0452912\pi\) | |||||||
\(38\) | −0.107303 | − | 0.130971i | −0.0174068 | − | 0.0212464i | ||||
\(39\) | −1.57565 | − | 8.52509i | −0.252306 | − | 1.36511i | ||||
\(40\) | 5.90312 | − | 3.13630i | 0.933366 | − | 0.495893i | ||||
\(41\) | 7.34222 | + | 4.23903i | 1.14666 | + | 0.662026i | 0.948072 | − | 0.318057i | \(-0.103030\pi\) |
0.198591 | + | 0.980082i | \(0.436364\pi\) | |||||||
\(42\) | 1.56790 | + | 9.54622i | 0.241933 | + | 1.47301i | ||||
\(43\) | 4.01118 | + | 6.94756i | 0.611699 | + | 1.05949i | 0.990954 | + | 0.134201i | \(0.0428469\pi\) |
−0.379255 | + | 0.925292i | \(0.623820\pi\) | |||||||
\(44\) | −6.61414 | + | 0.503106i | −0.997120 | + | 0.0758461i | ||||
\(45\) | −3.28686 | − | 5.69301i | −0.489976 | − | 0.848664i | ||||
\(46\) | 9.06921 | + | 3.42205i | 1.33718 | + | 0.504554i | ||||
\(47\) | − | 2.87708i | − | 0.419665i | −0.977737 | − | 0.209833i | \(-0.932708\pi\) | ||
0.977737 | − | 0.209833i | \(-0.0672919\pi\) | |||||||
\(48\) | 9.53978 | − | 1.22354i | 1.37695 | − | 0.176603i | ||||
\(49\) | −0.546883 | + | 0.947228i | −0.0781261 | + | 0.135318i | ||||
\(50\) | −0.816944 | + | 0.134177i | −0.115533 | + | 0.0189756i | ||||
\(51\) | −4.26536 | −0.597271 | ||||||||
\(52\) | −6.18927 | − | 3.70040i | −0.858297 | − | 0.513154i | ||||
\(53\) | 5.47979 | 0.752708 | 0.376354 | − | 0.926476i | \(-0.377178\pi\) | ||||
0.376354 | + | 0.926476i | \(0.377178\pi\) | |||||||
\(54\) | 0.120402 | + | 0.733071i | 0.0163846 | + | 0.0997583i | ||||
\(55\) | 7.59532 | + | 1.93666i | 1.02415 | + | 0.261139i | ||||
\(56\) | 6.82265 | + | 4.26633i | 0.911715 | + | 0.570112i | ||||
\(57\) | 0.287872i | 0.0381296i | ||||||||
\(58\) | 4.41194 | + | 1.66474i | 0.579316 | + | 0.218591i | ||||
\(59\) | −12.7481 | + | 7.36015i | −1.65967 | + | 0.958209i | −0.686800 | + | 0.726847i | \(0.740985\pi\) |
−0.972868 | + | 0.231362i | \(0.925682\pi\) | |||||||
\(60\) | −11.1431 | − | 2.23586i | −1.43857 | − | 0.288648i | ||||
\(61\) | 1.95850 | − | 1.13074i | 0.250760 | − | 0.144776i | −0.369352 | − | 0.929290i | \(-0.620420\pi\) |
0.620112 | + | 0.784513i | \(0.287087\pi\) | |||||||
\(62\) | −1.38934 | − | 8.45906i | −0.176447 | − | 1.07430i | ||||
\(63\) | 3.95666 | − | 6.85314i | 0.498493 | − | 0.863415i | ||||
\(64\) | 4.47782 | − | 6.62941i | 0.559728 | − | 0.828676i | ||||
\(65\) | 5.53083 | + | 6.48229i | 0.686016 | + | 0.804030i | ||||
\(66\) | 9.24097 | + | 6.46515i | 1.13748 | + | 0.795805i | ||||
\(67\) | −7.27685 | − | 4.20129i | −0.889009 | − | 0.513270i | −0.0153908 | − | 0.999882i | \(-0.504899\pi\) |
−0.873618 | + | 0.486612i | \(0.838233\pi\) | |||||||
\(68\) | −2.34371 | + | 2.66350i | −0.284216 | + | 0.322997i | ||||
\(69\) | −8.24043 | − | 14.2729i | −0.992032 | − | 1.71825i | ||||
\(70\) | −6.02607 | − | 7.35530i | −0.720253 | − | 0.879126i | ||||
\(71\) | 1.24084 | − | 0.716397i | 0.147260 | − | 0.0850206i | −0.424560 | − | 0.905400i | \(-0.639571\pi\) |
0.571820 | + | 0.820379i | \(0.306238\pi\) | |||||||
\(72\) | −6.67055 | − | 4.17122i | −0.786132 | − | 0.491583i | ||||
\(73\) | − | 15.8645i | − | 1.85680i | −0.371576 | − | 0.928402i | \(-0.621183\pi\) | ||
0.371576 | − | 0.928402i | \(-0.378817\pi\) | |||||||
\(74\) | −2.26029 | + | 5.99027i | −0.262753 | + | 0.696355i | ||||
\(75\) | 1.21902 | + | 0.703799i | 0.140760 | + | 0.0812677i | ||||
\(76\) | 0.179762 | + | 0.158178i | 0.0206201 | + | 0.0181443i | ||||
\(77\) | 2.55258 | + | 9.08382i | 0.290893 | + | 1.03520i | ||||
\(78\) | 4.15283 | + | 11.5358i | 0.470216 | + | 1.30617i | ||||
\(79\) | −13.1522 | −1.47974 | −0.739868 | − | 0.672752i | \(-0.765112\pi\) | ||||
−0.739868 | + | 0.672752i | \(0.765112\pi\) | |||||||
\(80\) | −7.51905 | + | 5.72978i | −0.840655 | + | 0.640609i | ||||
\(81\) | 4.80384 | − | 8.32049i | 0.533760 | − | 0.924499i | ||||
\(82\) | −11.2178 | − | 4.23277i | −1.23880 | − | 0.467432i | ||||
\(83\) | 9.19469 | 1.00925 | 0.504624 | − | 0.863339i | \(-0.331631\pi\) | ||||
0.504624 | + | 0.863339i | \(0.331631\pi\) | |||||||
\(84\) | −4.37607 | − | 12.9625i | −0.477468 | − | 1.41433i | ||||
\(85\) | 3.63072 | − | 2.09620i | 0.393807 | − | 0.227365i | ||||
\(86\) | −7.19007 | − | 8.77606i | −0.775326 | − | 0.946347i | ||||
\(87\) | −4.00876 | − | 6.94338i | −0.429785 | − | 0.744409i | ||||
\(88\) | 9.11483 | − | 2.21808i | 0.971644 | − | 0.236448i | ||||
\(89\) | 3.41133 | − | 5.90860i | 0.361600 | − | 0.626310i | −0.626624 | − | 0.779322i | \(-0.715564\pi\) |
0.988224 | + | 0.153011i | \(0.0488971\pi\) | |||||||
\(90\) | 5.89173 | + | 7.19133i | 0.621043 | + | 0.758032i | ||||
\(91\) | −3.42887 | + | 9.66756i | −0.359443 | + | 1.01344i | ||||
\(92\) | −13.4406 | − | 2.69683i | −1.40128 | − | 0.281164i | ||||
\(93\) | −7.28750 | + | 12.6223i | −0.755679 | + | 1.30887i | ||||
\(94\) | 0.659439 | + | 4.01501i | 0.0680159 | + | 0.414117i | ||||
\(95\) | −0.141474 | − | 0.245040i | −0.0145149 | − | 0.0251405i | ||||
\(96\) | −13.0325 | + | 3.89403i | −1.33012 | + | 0.397433i | ||||
\(97\) | −0.294457 | − | 0.510014i | −0.0298976 | − | 0.0517841i | 0.850689 | − | 0.525669i | \(-0.176185\pi\) |
−0.880587 | + | 0.473884i | \(0.842851\pi\) | |||||||
\(98\) | 0.546075 | − | 1.44722i | 0.0551619 | − | 0.146191i | ||||
\(99\) | −2.49567 | − | 8.88131i | −0.250825 | − | 0.892605i | ||||
\(100\) | 1.10930 | − | 0.374494i | 0.110930 | − | 0.0374494i | ||||
\(101\) | −7.18748 | − | 4.14969i | −0.715181 | − | 0.412910i | 0.0977954 | − | 0.995207i | \(-0.468821\pi\) |
−0.812976 | + | 0.582297i | \(0.802154\pi\) | |||||||
\(102\) | 5.95239 | − | 0.977639i | 0.589374 | − | 0.0968007i | ||||
\(103\) | 0.481129i | 0.0474071i | 0.999719 | + | 0.0237035i | \(0.00754578\pi\) | ||||
−0.999719 | + | 0.0237035i | \(0.992454\pi\) | |||||||
\(104\) | 9.48537 | + | 3.74537i | 0.930117 | + | 0.367264i | ||||
\(105\) | 16.1668i | 1.57772i | ||||||||
\(106\) | −7.64714 | + | 1.25599i | −0.742756 | + | 0.121993i | ||||
\(107\) | −1.41158 | + | 2.44493i | −0.136463 | + | 0.236361i | −0.926155 | − | 0.377142i | \(-0.876907\pi\) |
0.789692 | + | 0.613503i | \(0.210240\pi\) | |||||||
\(108\) | −0.336046 | − | 0.995416i | −0.0323360 | − | 0.0957839i | ||||
\(109\) | 9.26157i | 0.887098i | 0.896250 | + | 0.443549i | \(0.146281\pi\) | ||||
−0.896250 | + | 0.443549i | \(0.853719\pi\) | |||||||
\(110\) | −11.0433 | − | 0.961758i | −1.05294 | − | 0.0917000i | ||||
\(111\) | 9.42731 | − | 5.44286i | 0.894801 | − | 0.516613i | ||||
\(112\) | −10.4990 | − | 4.38995i | −0.992060 | − | 0.414811i | ||||
\(113\) | 4.54653 | + | 7.87483i | 0.427702 | + | 0.740801i | 0.996668 | − | 0.0815593i | \(-0.0259900\pi\) |
−0.568967 | + | 0.822361i | \(0.692657\pi\) | |||||||
\(114\) | −0.0659815 | − | 0.401731i | −0.00617973 | − | 0.0376255i | ||||
\(115\) | 14.0287 | + | 8.09946i | 1.30818 | + | 0.755279i | ||||
\(116\) | −6.53850 | − | 1.31194i | −0.607084 | − | 0.121811i | ||||
\(117\) | 3.35243 | − | 9.45204i | 0.309932 | − | 0.873842i | ||||
\(118\) | 16.1033 | − | 13.1931i | 1.48243 | − | 1.21453i | ||||
\(119\) | 4.37060 | + | 2.52336i | 0.400652 | + | 0.231316i | ||||
\(120\) | 16.0629 | + | 0.566121i | 1.46634 | + | 0.0516796i | ||||
\(121\) | 9.65699 | + | 5.26713i | 0.877908 | + | 0.478830i | ||||
\(122\) | −2.47395 | + | 2.02686i | −0.223981 | + | 0.183503i | ||||
\(123\) | 10.1927 | + | 17.6542i | 0.919043 | + | 1.59183i | ||||
\(124\) | 3.87770 | + | 11.4863i | 0.348228 | + | 1.03150i | ||||
\(125\) | 10.4332 | 0.933175 | ||||||||
\(126\) | −3.95082 | + | 10.4706i | −0.351967 | + | 0.932791i | ||||
\(127\) | 4.49395 | − | 7.78375i | 0.398774 | − | 0.690697i | −0.594801 | − | 0.803873i | \(-0.702769\pi\) |
0.993575 | + | 0.113176i | \(0.0361025\pi\) | |||||||
\(128\) | −4.72939 | + | 10.2778i | −0.418023 | + | 0.908437i | ||||
\(129\) | 19.2896i | 1.69835i | ||||||||
\(130\) | −9.20414 | − | 7.77846i | −0.807256 | − | 0.682216i | ||||
\(131\) | −20.4382 | −1.78570 | −0.892849 | − | 0.450357i | \(-0.851297\pi\) | ||||
−0.892849 | + | 0.450357i | \(0.851297\pi\) | |||||||
\(132\) | −14.3778 | − | 6.90415i | −1.25142 | − | 0.600929i | ||||
\(133\) | 0.170304 | − | 0.294974i | 0.0147672 | − | 0.0255775i | ||||
\(134\) | 11.1179 | + | 4.19509i | 0.960442 | + | 0.362400i | ||||
\(135\) | 1.24148i | 0.106849i | ||||||||
\(136\) | 2.66020 | − | 4.25415i | 0.228110 | − | 0.364790i | ||||
\(137\) | 6.69485 | + | 11.5958i | 0.571980 | + | 0.990698i | 0.996363 | + | 0.0852153i | \(0.0271578\pi\) |
−0.424383 | + | 0.905483i | \(0.639509\pi\) | |||||||
\(138\) | 14.7711 | + | 18.0293i | 1.25740 | + | 1.53475i | ||||
\(139\) | −2.07772 | − | 3.59871i | −0.176230 | − | 0.305239i | 0.764356 | − | 0.644794i | \(-0.223057\pi\) |
−0.940586 | + | 0.339555i | \(0.889724\pi\) | |||||||
\(140\) | 10.0953 | + | 8.88324i | 0.853212 | + | 0.750771i | ||||
\(141\) | 3.45894 | − | 5.99107i | 0.291296 | − | 0.504539i | ||||
\(142\) | −1.56740 | + | 1.28415i | −0.131534 | + | 0.107763i | ||||
\(143\) | 5.27347 | + | 10.7327i | 0.440990 | + | 0.897512i | ||||
\(144\) | 10.2649 | + | 4.29209i | 0.855410 | + | 0.357674i | ||||
\(145\) | 6.82460 | + | 3.94018i | 0.566752 | + | 0.327214i | ||||
\(146\) | 3.63622 | + | 22.1392i | 0.300936 | + | 1.83226i | ||||
\(147\) | −2.27759 | + | 1.31497i | −0.187853 | + | 0.108457i | ||||
\(148\) | 1.78128 | − | 8.87758i | 0.146420 | − | 0.729733i | ||||
\(149\) | 4.85354 | − | 2.80219i | 0.397617 | − | 0.229565i | −0.287838 | − | 0.957679i | \(-0.592936\pi\) |
0.685455 | + | 0.728115i | \(0.259603\pi\) | |||||||
\(150\) | −1.86247 | − | 0.702760i | −0.152070 | − | 0.0573801i | ||||
\(151\) | 8.77335 | 0.713965 | 0.356983 | − | 0.934111i | \(-0.383806\pi\) | ||||
0.356983 | + | 0.934111i | \(0.383806\pi\) | |||||||
\(152\) | −0.287115 | − | 0.179538i | −0.0232881 | − | 0.0145625i | ||||
\(153\) | −4.27316 | − | 2.46711i | −0.345465 | − | 0.199454i | ||||
\(154\) | −5.64421 | − | 12.0916i | −0.454824 | − | 0.974365i | ||||
\(155\) | − | 14.3257i | − | 1.15066i | ||||||
\(156\) | −8.43939 | − | 15.1465i | −0.675692 | − | 1.21269i | ||||
\(157\) | −19.8613 | −1.58510 | −0.792551 | − | 0.609805i | \(-0.791248\pi\) | ||||
−0.792551 | + | 0.609805i | \(0.791248\pi\) | |||||||
\(158\) | 18.3541 | − | 3.01453i | 1.46017 | − | 0.239823i | ||||
\(159\) | 11.4108 | + | 6.58803i | 0.904936 | + | 0.522465i | ||||
\(160\) | 9.17967 | − | 9.71940i | 0.725716 | − | 0.768386i | ||||
\(161\) | 19.5000i | 1.53681i | ||||||||
\(162\) | −4.79674 | + | 12.7124i | −0.376868 | + | 0.998784i | ||||
\(163\) | −4.25844 | + | 2.45861i | −0.333547 | + | 0.192573i | −0.657415 | − | 0.753529i | \(-0.728350\pi\) |
0.323868 | + | 0.946102i | \(0.395017\pi\) | |||||||
\(164\) | 16.6248 | + | 3.33574i | 1.29818 | + | 0.260478i | ||||
\(165\) | 13.4877 | + | 13.1642i | 1.05002 | + | 1.02483i | ||||
\(166\) | −12.8313 | + | 2.10746i | −0.995905 | + | 0.163571i | ||||
\(167\) | 10.4546 | − | 18.1078i | 0.808998 | − | 1.40123i | −0.104561 | − | 0.994518i | \(-0.533344\pi\) |
0.913559 | − | 0.406707i | \(-0.133323\pi\) | |||||||
\(168\) | 9.07794 | + | 17.0864i | 0.700378 | + | 1.31825i | ||||
\(169\) | −2.04641 | + | 12.8379i | −0.157416 | + | 0.987532i | ||||
\(170\) | −4.58627 | + | 3.75745i | −0.351751 | + | 0.288183i | ||||
\(171\) | −0.166507 | + | 0.288399i | −0.0127331 | + | 0.0220544i | ||||
\(172\) | 12.0454 | + | 10.5991i | 0.918451 | + | 0.808177i | ||||
\(173\) | −1.17223 | + | 0.676788i | −0.0891232 | + | 0.0514553i | −0.543899 | − | 0.839151i | \(-0.683053\pi\) |
0.454776 | + | 0.890606i | \(0.349719\pi\) | |||||||
\(174\) | 7.18575 | + | 8.77078i | 0.544750 | + | 0.664911i | ||||
\(175\) | −0.832727 | − | 1.44232i | −0.0629482 | − | 0.109030i | ||||
\(176\) | −12.2115 | + | 5.18452i | −0.920476 | + | 0.390798i | ||||
\(177\) | −35.3947 | −2.66043 | ||||||||
\(178\) | −3.40629 | + | 9.02744i | −0.255313 | + | 0.676635i | ||||
\(179\) | −17.6177 | − | 10.1716i | −1.31681 | − | 0.760260i | −0.333595 | − | 0.942716i | \(-0.608262\pi\) |
−0.983214 | + | 0.182456i | \(0.941595\pi\) | |||||||
\(180\) | −9.87028 | − | 8.68520i | −0.735687 | − | 0.647357i | ||||
\(181\) | 13.2029 | 0.981366 | 0.490683 | − | 0.871338i | \(-0.336747\pi\) | ||||
0.490683 | + | 0.871338i | \(0.336747\pi\) | |||||||
\(182\) | 2.56920 | − | 14.2772i | 0.190442 | − | 1.05829i | ||||
\(183\) | 5.43769 | 0.401965 | ||||||||
\(184\) | 19.3747 | + | 0.682840i | 1.42832 | + | 0.0503397i | ||||
\(185\) | −5.34975 | + | 9.26603i | −0.393321 | + | 0.681252i | ||||
\(186\) | 7.27674 | − | 19.2850i | 0.533556 | − | 1.41404i | ||||
\(187\) | 5.66406 | − | 1.59162i | 0.414197 | − | 0.116391i | ||||
\(188\) | −1.84051 | − | 5.45187i | −0.134233 | − | 0.397619i | ||||
\(189\) | −1.29425 | + | 0.747234i | −0.0941426 | + | 0.0543532i | ||||
\(190\) | 0.253593 | + | 0.309531i | 0.0183976 | + | 0.0224557i | ||||
\(191\) | −17.7425 | + | 10.2436i | −1.28380 | + | 0.741203i | −0.977541 | − | 0.210744i | \(-0.932411\pi\) |
−0.306261 | + | 0.951948i | \(0.599078\pi\) | |||||||
\(192\) | 17.2945 | − | 8.42128i | 1.24812 | − | 0.607753i | ||||
\(193\) | −4.82031 | − | 2.78301i | −0.346973 | − | 0.200325i | 0.316378 | − | 0.948633i | \(-0.397533\pi\) |
−0.663351 | + | 0.748308i | \(0.730867\pi\) | |||||||
\(194\) | 0.527817 | + | 0.644242i | 0.0378950 | + | 0.0462539i | ||||
\(195\) | 3.72381 | + | 20.1477i | 0.266668 | + | 1.44281i | ||||
\(196\) | −0.430348 | + | 2.14478i | −0.0307391 | + | 0.153199i | ||||
\(197\) | −9.88582 | − | 5.70758i | −0.704336 | − | 0.406648i | 0.104625 | − | 0.994512i | \(-0.466636\pi\) |
−0.808960 | + | 0.587863i | \(0.799969\pi\) | |||||||
\(198\) | 5.51838 | + | 11.8220i | 0.392174 | + | 0.840153i | ||||
\(199\) | −0.905497 | + | 0.522789i | −0.0641890 | + | 0.0370595i | −0.531751 | − | 0.846901i | \(-0.678466\pi\) |
0.467562 | + | 0.883960i | \(0.345132\pi\) | |||||||
\(200\) | −1.46222 | + | 0.776869i | −0.103394 | + | 0.0549329i | ||||
\(201\) | −10.1019 | − | 17.4971i | −0.712535 | − | 1.23415i | ||||
\(202\) | 10.9814 | + | 4.14357i | 0.772647 | + | 0.291540i | ||||
\(203\) | 9.48625i | 0.665804i | ||||||||
\(204\) | −8.08257 | + | 2.72862i | −0.565893 | + | 0.191042i | ||||
\(205\) | −17.3522 | − | 10.0183i | −1.21193 | − | 0.699709i | ||||
\(206\) | −0.110277 | − | 0.671424i | −0.00768335 | − | 0.0467803i | ||||
\(207\) | − | 19.0653i | − | 1.32513i | ||||||
\(208\) | −14.0954 | − | 3.05264i | −0.977343 | − | 0.211663i | ||||
\(209\) | −0.107419 | − | 0.382271i | −0.00743034 | − | 0.0264423i | ||||
\(210\) | −3.70550 | − | 22.5610i | −0.255704 | − | 1.55686i | ||||
\(211\) | −12.3290 | + | 21.3544i | −0.848761 | + | 1.47010i | 0.0335534 | + | 0.999437i | \(0.489318\pi\) |
−0.882314 | + | 0.470660i | \(0.844016\pi\) | |||||||
\(212\) | 10.3838 | − | 3.50551i | 0.713165 | − | 0.240760i | ||||
\(213\) | 3.44512 | 0.236056 | ||||||||
\(214\) | 1.40950 | − | 3.73548i | 0.0963513 | − | 0.255352i | ||||
\(215\) | −9.47980 | − | 16.4195i | −0.646517 | − | 1.11980i | ||||
\(216\) | 0.697110 | + | 1.31210i | 0.0474324 | + | 0.0892768i | ||||
\(217\) | 14.9346 | − | 8.62249i | 1.01383 | − | 0.585333i | ||||
\(218\) | −2.12279 | − | 12.9247i | −0.143773 | − | 0.875369i | ||||
\(219\) | 19.0730 | − | 33.0354i | 1.28883 | − | 2.23233i | ||||
\(220\) | 15.6315 | − | 1.18901i | 1.05388 | − | 0.0801634i | ||||
\(221\) | 6.02805 | + | 2.13801i | 0.405490 | + | 0.143818i | ||||
\(222\) | −11.9084 | + | 9.75638i | −0.799242 | + | 0.654805i | ||||
\(223\) | 6.34078 | + | 3.66085i | 0.424610 | + | 0.245149i | 0.697048 | − | 0.717025i | \(-0.254496\pi\) |
−0.272438 | + | 0.962173i | \(0.587830\pi\) | |||||||
\(224\) | 15.6577 | + | 3.71984i | 1.04617 | + | 0.248542i | ||||
\(225\) | 0.814162 | + | 1.41017i | 0.0542775 | + | 0.0940114i | ||||
\(226\) | −8.14970 | − | 9.94736i | −0.542110 | − | 0.661689i | ||||
\(227\) | 3.13712 | + | 5.43365i | 0.208218 | + | 0.360644i | 0.951153 | − | 0.308719i | \(-0.0999003\pi\) |
−0.742935 | + | 0.669363i | \(0.766567\pi\) | |||||||
\(228\) | 0.184157 | + | 0.545498i | 0.0121961 | + | 0.0361265i | ||||
\(229\) | −5.46115 | −0.360883 | −0.180442 | − | 0.983586i | \(-0.557753\pi\) | ||||
−0.180442 | + | 0.983586i | \(0.557753\pi\) | |||||||
\(230\) | −21.4337 | − | 8.08750i | −1.41329 | − | 0.533274i | ||||
\(231\) | −5.60560 | + | 21.9844i | −0.368821 | + | 1.44647i | ||||
\(232\) | 9.42528 | + | 0.332185i | 0.618800 | + | 0.0218090i | ||||
\(233\) | − | 20.6972i | − | 1.35592i | −0.735099 | − | 0.677960i | \(-0.762864\pi\) | ||
0.735099 | − | 0.677960i | \(-0.237136\pi\) | |||||||
\(234\) | −2.51192 | + | 13.9589i | −0.164210 | + | 0.912520i | ||||
\(235\) | 6.79954i | 0.443553i | ||||||||
\(236\) | −19.4485 | + | 22.1022i | −1.26599 | + | 1.43873i | ||||
\(237\) | −27.3873 | − | 15.8121i | −1.77900 | − | 1.02711i | ||||
\(238\) | −6.67760 | − | 2.51964i | −0.432845 | − | 0.163324i | ||||
\(239\) | −0.965907 | −0.0624794 | −0.0312397 | − | 0.999512i | \(-0.509946\pi\) | ||||
−0.0312397 | + | 0.999512i | \(0.509946\pi\) | |||||||
\(240\) | −22.5458 | + | 2.89165i | −1.45533 | + | 0.186655i | ||||
\(241\) | −7.46216 | + | 4.30828i | −0.480680 | + | 0.277521i | −0.720700 | − | 0.693247i | \(-0.756179\pi\) |
0.240020 | + | 0.970768i | \(0.422846\pi\) | |||||||
\(242\) | −14.6837 | − | 5.13694i | −0.943906 | − | 0.330215i | ||||
\(243\) | 18.6417 | − | 10.7628i | 1.19587 | − | 0.690433i | ||||
\(244\) | 2.98787 | − | 3.39556i | 0.191279 | − | 0.217378i | ||||
\(245\) | 1.29247 | − | 2.23863i | 0.0825731 | − | 0.143021i | ||||
\(246\) | −18.2705 | − | 22.3006i | −1.16488 | − | 1.42183i | ||||
\(247\) | 0.144296 | − | 0.406837i | 0.00918133 | − | 0.0258864i | ||||
\(248\) | −8.04410 | − | 15.1405i | −0.510801 | − | 0.961426i | ||||
\(249\) | 19.1465 | + | 11.0542i | 1.21336 | + | 0.700533i | ||||
\(250\) | −14.5597 | + | 2.39134i | −0.920838 | + | 0.151241i | ||||
\(251\) | 24.0910 | − | 13.9090i | 1.52061 | − | 0.877925i | 0.520907 | − | 0.853614i | \(-0.325594\pi\) |
0.999704 | − | 0.0243115i | \(-0.00773936\pi\) | |||||||
\(252\) | 3.11354 | − | 15.5174i | 0.196135 | − | 0.977503i | ||||
\(253\) | 16.2685 | + | 15.8783i | 1.02279 | + | 0.998259i | ||||
\(254\) | −4.48732 | + | 11.8924i | −0.281559 | + | 0.746195i | ||||
\(255\) | 10.0805 | 0.631268 | ||||||||
\(256\) | 4.24423 | − | 15.4268i | 0.265264 | − | 0.964176i | ||||
\(257\) | 11.4712 | − | 19.8688i | 0.715556 | − | 1.23938i | −0.247189 | − | 0.968967i | \(-0.579507\pi\) |
0.962745 | − | 0.270412i | \(-0.0871598\pi\) | |||||||
\(258\) | −4.42126 | − | 26.9190i | −0.275255 | − | 1.67590i | ||||
\(259\) | −12.8799 | −0.800315 | ||||||||
\(260\) | 14.6274 | + | 8.74534i | 0.907151 | + | 0.542363i | ||||
\(261\) | − | 9.27477i | − | 0.574094i | ||||||
\(262\) | 28.5219 | − | 4.68453i | 1.76209 | − | 0.289411i | ||||
\(263\) | 9.18861 | − | 15.9151i | 0.566594 | − | 0.981370i | −0.430305 | − | 0.902683i | \(-0.641594\pi\) |
0.996899 | − | 0.0786864i | \(-0.0250726\pi\) | |||||||
\(264\) | 21.6469 | + | 6.33942i | 1.33227 | + | 0.390164i | ||||
\(265\) | −12.9507 | −0.795552 | ||||||||
\(266\) | −0.170052 | + | 0.450676i | −0.0104266 | + | 0.0276327i | ||||
\(267\) | 14.2071 | − | 8.20248i | 0.869462 | − | 0.501984i | ||||
\(268\) | −16.4768 | − | 3.30604i | −1.00648 | − | 0.201949i | ||||
\(269\) | 8.09997 | + | 14.0296i | 0.493864 | + | 0.855397i | 0.999975 | − | 0.00707096i | \(-0.00225078\pi\) |
−0.506111 | + | 0.862468i | \(0.668917\pi\) | |||||||
\(270\) | −0.284551 | − | 1.73250i | −0.0173172 | − | 0.105437i | ||||
\(271\) | −0.370870 | + | 0.642366i | −0.0225288 | + | 0.0390210i | −0.877070 | − | 0.480363i | \(-0.840505\pi\) |
0.854541 | + | 0.519384i | \(0.173838\pi\) | |||||||
\(272\) | −2.73728 | + | 6.54646i | −0.165972 | + | 0.396937i | ||||
\(273\) | −18.7628 | + | 16.0088i | −1.13558 | + | 0.968899i | ||||
\(274\) | −12.0006 | − | 14.6477i | −0.724982 | − | 0.884898i | ||||
\(275\) | −1.88138 | − | 0.479714i | −0.113451 | − | 0.0289278i | ||||
\(276\) | −24.7456 | − | 21.7745i | −1.48951 | − | 1.31067i | ||||
\(277\) | 10.4305 | − | 6.02204i | 0.626707 | − | 0.361830i | −0.152769 | − | 0.988262i | \(-0.548819\pi\) |
0.779476 | + | 0.626432i | \(0.215486\pi\) | |||||||
\(278\) | 3.72433 | + | 4.54584i | 0.223370 | + | 0.272641i | ||||
\(279\) | −14.6016 | + | 8.43026i | −0.874178 | + | 0.504707i | ||||
\(280\) | −16.1243 | − | 10.0828i | −0.963610 | − | 0.602563i | ||||
\(281\) | − | 17.8828i | − | 1.06680i | −0.845864 | − | 0.533399i | \(-0.820914\pi\) | ||
0.845864 | − | 0.533399i | \(-0.179086\pi\) | |||||||
\(282\) | −3.45384 | + | 9.15344i | −0.205673 | + | 0.545079i | ||||
\(283\) | −4.44308 | + | 7.69564i | −0.264114 | + | 0.457459i | −0.967331 | − | 0.253516i | \(-0.918413\pi\) |
0.703217 | + | 0.710975i | \(0.251746\pi\) | |||||||
\(284\) | 1.89301 | − | 2.15130i | 0.112329 | − | 0.127656i | ||||
\(285\) | − | 0.680342i | − | 0.0403000i | ||||||
\(286\) | −9.81919 | − | 13.7689i | −0.580621 | − | 0.814174i | ||||
\(287\) | − | 24.1197i | − | 1.42374i | ||||||
\(288\) | −15.3086 | − | 3.63691i | −0.902070 | − | 0.214307i | ||||
\(289\) | −6.92660 | + | 11.9972i | −0.407447 | + | 0.705719i | ||||
\(290\) | −10.4269 | − | 3.93436i | −0.612291 | − | 0.231034i | ||||
\(291\) | − | 1.41603i | − | 0.0830093i | ||||||
\(292\) | −10.1488 | − | 30.0622i | −0.593914 | − | 1.75926i | ||||
\(293\) | −20.8114 | + | 12.0155i | −1.21582 | + | 0.701953i | −0.964021 | − | 0.265827i | \(-0.914355\pi\) |
−0.251797 | + | 0.967780i | \(0.581022\pi\) | |||||||
\(294\) | 2.87702 | − | 2.35709i | 0.167791 | − | 0.137469i | ||||
\(295\) | 30.1283 | − | 17.3946i | 1.75414 | − | 1.01275i | ||||
\(296\) | −0.451021 | + | 12.7971i | −0.0262150 | + | 0.743816i | ||||
\(297\) | −0.430463 | + | 1.68822i | −0.0249780 | + | 0.0979606i | ||||
\(298\) | −6.13092 | + | 5.02296i | −0.355155 | + | 0.290972i | ||||
\(299\) | 4.49156 | + | 24.3017i | 0.259754 | + | 1.40540i | ||||
\(300\) | 2.76018 | + | 0.553827i | 0.159359 | + | 0.0319752i | ||||
\(301\) | 11.4116 | − | 19.7655i | 0.657755 | − | 1.13926i | ||||
\(302\) | −12.2434 | + | 2.01089i | −0.704526 | + | 0.115714i | ||||
\(303\) | −9.97786 | − | 17.2822i | −0.573213 | − | 0.992834i | ||||
\(304\) | 0.441825 | + | 0.184741i | 0.0253404 | + | 0.0105956i | ||||
\(305\) | −4.62861 | + | 2.67233i | −0.265034 | + | 0.153017i | ||||
\(306\) | 6.52874 | + | 2.46347i | 0.373223 | + | 0.140827i | ||||
\(307\) | −10.6191 | −0.606066 | −0.303033 | − | 0.952980i | \(-0.597999\pi\) | ||||
−0.303033 | + | 0.952980i | \(0.597999\pi\) | |||||||
\(308\) | 10.6480 | + | 15.5803i | 0.606727 | + | 0.887769i | ||||
\(309\) | −0.578433 | + | 1.00188i | −0.0329059 | + | 0.0569947i | ||||
\(310\) | 3.28350 | + | 19.9917i | 0.186490 | + | 1.13545i | ||||
\(311\) | 21.7576i | 1.23376i | 0.787057 | + | 0.616881i | \(0.211604\pi\) | ||||
−0.787057 | + | 0.616881i | \(0.788396\pi\) | |||||||
\(312\) | 15.2489 | + | 19.2028i | 0.863301 | + | 1.08715i | ||||
\(313\) | 15.5123 | 0.876807 | 0.438404 | − | 0.898778i | \(-0.355544\pi\) | ||||
0.438404 | + | 0.898778i | \(0.355544\pi\) | |||||||
\(314\) | 27.7167 | − | 4.55229i | 1.56415 | − | 0.256900i | ||||
\(315\) | −9.35097 | + | 16.1964i | −0.526867 | + | 0.912561i | ||||
\(316\) | −24.9225 | + | 8.41366i | −1.40200 | + | 0.473305i | ||||
\(317\) | −24.4399 | −1.37268 | −0.686341 | − | 0.727280i | \(-0.740784\pi\) | ||||
−0.686341 | + | 0.727280i | \(0.740784\pi\) | |||||||
\(318\) | −17.4340 | − | 6.57830i | −0.977648 | − | 0.368893i | ||||
\(319\) | 7.91423 | + | 7.72439i | 0.443112 | + | 0.432483i | ||||
\(320\) | −10.5827 | + | 15.6676i | −0.591588 | + | 0.875845i | ||||
\(321\) | −5.87879 | + | 3.39412i | −0.328122 | + | 0.189442i | ||||
\(322\) | −4.46947 | − | 27.2125i | −0.249074 | − | 1.51649i | ||||
\(323\) | −0.183926 | − | 0.106190i | −0.0102339 | − | 0.00590856i | ||||
\(324\) | 3.78019 | − | 18.8399i | 0.210011 | − | 1.04666i | ||||
\(325\) | −1.37000 | − | 1.60568i | −0.0759939 | − | 0.0890670i | ||||
\(326\) | 5.37920 | − | 4.40708i | 0.297926 | − | 0.244086i | ||||
\(327\) | −11.1346 | + | 19.2858i | −0.615747 | + | 1.06651i | ||||
\(328\) | −23.9647 | − | 0.844613i | −1.32323 | − | 0.0466359i | ||||
\(329\) | −7.08856 | + | 4.09258i | −0.390805 | + | 0.225631i | ||||
\(330\) | −21.8396 | − | 15.2794i | −1.20223 | − | 0.841103i | ||||
\(331\) | 0.119376 | − | 0.0689217i | 0.00656149 | − | 0.00378828i | −0.496716 | − | 0.867913i | \(-0.665461\pi\) |
0.503277 | + | 0.864125i | \(0.332127\pi\) | |||||||
\(332\) | 17.4233 | − | 5.88199i | 0.956228 | − | 0.322816i | ||||
\(333\) | 12.5927 | 0.690077 | ||||||||
\(334\) | −10.4391 | + | 27.6660i | −0.571203 | + | 1.51382i | ||||
\(335\) | 17.1977 | + | 9.92911i | 0.939612 | + | 0.542485i | ||||
\(336\) | −16.5847 | − | 21.7637i | −0.904769 | − | 1.18731i | ||||
\(337\) | 20.3914i | 1.11079i | 0.831586 | + | 0.555396i | \(0.187433\pi\) | ||||
−0.831586 | + | 0.555396i | \(0.812567\pi\) | |||||||
\(338\) | −0.0867100 | − | 18.3846i | −0.00471640 | − | 0.999989i | ||||
\(339\) | 21.8641i | 1.18750i | ||||||||
\(340\) | 5.53899 | − | 6.29478i | 0.300394 | − | 0.341382i | ||||
\(341\) | 4.96721 | − | 19.4808i | 0.268989 | − | 1.05494i | ||||
\(342\) | 0.166261 | − | 0.440629i | 0.00899037 | − | 0.0238265i | ||||
\(343\) | −16.8030 | −0.907275 | ||||||||
\(344\) | −19.2389 | − | 12.0304i | −1.03729 | − | 0.648637i | ||||
\(345\) | 19.4750 | + | 33.7317i | 1.04850 | + | 1.81605i | ||||
\(346\) | 1.48075 | − | 1.21315i | 0.0796054 | − | 0.0652193i | ||||
\(347\) | −9.02153 | − | 15.6257i | −0.484301 | − | 0.838834i | 0.515536 | − | 0.856868i | \(-0.327593\pi\) |
−0.999837 | + | 0.0180336i | \(0.994259\pi\) | |||||||
\(348\) | −12.0381 | − | 10.5928i | −0.645311 | − | 0.567832i | ||||
\(349\) | −18.1497 | − | 10.4787i | −0.971533 | − | 0.560915i | −0.0718295 | − | 0.997417i | \(-0.522884\pi\) |
−0.899703 | + | 0.436502i | \(0.856217\pi\) | |||||||
\(350\) | 1.49267 | + | 1.82192i | 0.0797866 | + | 0.0973859i | ||||
\(351\) | −1.44083 | + | 1.22935i | −0.0769058 | + | 0.0656177i | ||||
\(352\) | 15.8530 | − | 10.0340i | 0.844969 | − | 0.534815i | ||||
\(353\) | 16.7566 | − | 29.0234i | 0.891866 | − | 1.54476i | 0.0542310 | − | 0.998528i | \(-0.482729\pi\) |
0.837635 | − | 0.546230i | \(-0.183937\pi\) | |||||||
\(354\) | 49.3938 | − | 8.11260i | 2.62525 | − | 0.431180i | ||||
\(355\) | −2.93252 | + | 1.69309i | −0.155642 | + | 0.0898601i | ||||
\(356\) | 2.68441 | − | 13.3787i | 0.142274 | − | 0.709068i | ||||
\(357\) | 6.06738 | + | 10.5090i | 0.321120 | + | 0.556196i | ||||
\(358\) | 26.9172 | + | 10.1566i | 1.42262 | + | 0.536791i | ||||
\(359\) | 2.43391 | 0.128457 | 0.0642284 | − | 0.997935i | \(-0.479541\pi\) | ||||
0.0642284 | + | 0.997935i | \(0.479541\pi\) | |||||||
\(360\) | 15.7648 | + | 9.85803i | 0.830879 | + | 0.519564i | ||||
\(361\) | 9.49283 | − | 16.4421i | 0.499623 | − | 0.865372i | ||||
\(362\) | −18.4249 | + | 3.02616i | −0.968391 | + | 0.159052i | ||||
\(363\) | 13.7768 | + | 22.5780i | 0.723094 | + | 1.18504i | ||||
\(364\) | −0.312979 | + | 20.5129i | −0.0164045 | + | 1.07517i | ||||
\(365\) | 37.4934i | 1.96250i | ||||||||
\(366\) | −7.58838 | + | 1.24634i | −0.396651 | + | 0.0651472i | ||||
\(367\) | −12.6426 | − | 7.29918i | −0.659936 | − | 0.381014i | 0.132317 | − | 0.991207i | \(-0.457758\pi\) |
−0.792253 | + | 0.610193i | \(0.791092\pi\) | |||||||
\(368\) | −27.1942 | + | 3.48784i | −1.41759 | + | 0.181816i | ||||
\(369\) | 23.5820i | 1.22763i | ||||||||
\(370\) | 5.34184 | − | 14.1571i | 0.277709 | − | 0.735992i | ||||
\(371\) | −7.79488 | − | 13.5011i | −0.404690 | − | 0.700944i | ||||
\(372\) | −5.73461 | + | 28.5804i | −0.297326 | + | 1.48182i | ||||
\(373\) | 27.9094 | − | 16.1135i | 1.44510 | − | 0.834327i | 0.446913 | − | 0.894577i | \(-0.352523\pi\) |
0.998183 | + | 0.0602507i | \(0.0191900\pi\) | |||||||
\(374\) | −7.53948 | + | 3.51935i | −0.389857 | + | 0.181981i | ||||
\(375\) | 21.7255 | + | 12.5432i | 1.12190 | + | 0.647730i | ||||
\(376\) | 3.81806 | + | 7.18632i | 0.196901 | + | 0.370606i | ||||
\(377\) | 2.18503 | + | 11.8222i | 0.112535 | + | 0.608872i | ||||
\(378\) | 1.63487 | − | 1.33942i | 0.0840888 | − | 0.0688925i | ||||
\(379\) | 6.58561 | + | 3.80220i | 0.338280 | + | 0.195306i | 0.659511 | − | 0.751695i | \(-0.270763\pi\) |
−0.321231 | + | 0.947001i | \(0.604097\pi\) | |||||||
\(380\) | −0.424839 | − | 0.373830i | −0.0217938 | − | 0.0191771i | ||||
\(381\) | 18.7159 | − | 10.8056i | 0.958844 | − | 0.553589i | ||||
\(382\) | 22.4121 | − | 18.3618i | 1.14670 | − | 0.939472i | ||||
\(383\) | −6.32133 | + | 3.64962i | −0.323005 | + | 0.186487i | −0.652731 | − | 0.757590i | \(-0.726377\pi\) |
0.329726 | + | 0.944077i | \(0.393044\pi\) | |||||||
\(384\) | −22.2046 | + | 15.7160i | −1.13312 | + | 0.802004i | ||||
\(385\) | −6.03262 | − | 21.4682i | −0.307451 | − | 1.09412i | ||||
\(386\) | 7.36470 | + | 2.77890i | 0.374853 | + | 0.141442i | ||||
\(387\) | −11.1572 | + | 19.3249i | −0.567153 | + | 0.982338i | ||||
\(388\) | −0.884239 | − | 0.778073i | −0.0448905 | − | 0.0395007i | ||||
\(389\) | −8.17082 | −0.414277 | −0.207139 | − | 0.978312i | \(-0.566415\pi\) | ||||
−0.207139 | + | 0.978312i | \(0.566415\pi\) | |||||||
\(390\) | −9.81458 | − | 27.2630i | −0.496981 | − | 1.38052i | ||||
\(391\) | 12.1589 | 0.614901 | ||||||||
\(392\) | 0.108964 | − | 3.09172i | 0.00550353 | − | 0.156155i | ||||
\(393\) | −42.5594 | − | 24.5717i | −2.14684 | − | 1.23948i | ||||
\(394\) | 15.1040 | + | 5.69915i | 0.760930 | + | 0.287119i | ||||
\(395\) | 31.0832 | 1.56396 | ||||||||
\(396\) | −10.4106 | − | 15.2330i | −0.523154 | − | 0.765485i | ||||
\(397\) | −11.1737 | − | 19.3534i | −0.560790 | − | 0.971318i | −0.997428 | − | 0.0716799i | \(-0.977164\pi\) |
0.436637 | − | 0.899638i | \(-0.356169\pi\) | |||||||
\(398\) | 1.14381 | − | 0.937104i | 0.0573341 | − | 0.0469728i | ||||
\(399\) | 0.709261 | − | 0.409492i | 0.0355074 | − | 0.0205002i | ||||
\(400\) | 1.86249 | − | 1.41928i | 0.0931243 | − | 0.0709639i | ||||
\(401\) | 11.5234 | − | 19.9591i | 0.575452 | − | 0.996712i | −0.420540 | − | 0.907274i | \(-0.638159\pi\) |
0.995992 | − | 0.0894383i | \(-0.0285072\pi\) | |||||||
\(402\) | 18.1078 | + | 22.1020i | 0.903135 | + | 1.10235i | ||||
\(403\) | 16.6260 | − | 14.1857i | 0.828202 | − | 0.706640i | ||||
\(404\) | −16.2744 | − | 3.26544i | −0.809682 | − | 0.162462i | ||||
\(405\) | −11.3531 | + | 19.6642i | −0.564142 | + | 0.977122i | ||||
\(406\) | −2.17429 | − | 13.2382i | −0.107908 | − | 0.657001i | ||||
\(407\) | −10.4877 | + | 10.7455i | −0.519857 | + | 0.532633i | ||||
\(408\) | 10.6539 | − | 5.66039i | 0.527449 | − | 0.280231i | ||||
\(409\) | 26.4511 | − | 15.2715i | 1.30792 | − | 0.755129i | 0.326172 | − | 0.945310i | \(-0.394241\pi\) |
0.981749 | + | 0.190182i | \(0.0609077\pi\) | |||||||
\(410\) | 26.5115 | + | 10.0035i | 1.30931 | + | 0.494038i | ||||
\(411\) | 32.1953i | 1.58808i | ||||||||
\(412\) | 0.307786 | + | 0.911707i | 0.0151635 | + | 0.0449166i | ||||
\(413\) | 36.2679 | + | 20.9393i | 1.78463 | + | 1.03035i | ||||
\(414\) | 4.36983 | + | 26.6059i | 0.214766 | + | 1.30761i | ||||
\(415\) | −21.7302 | −1.06670 | ||||||||
\(416\) | 20.3701 | + | 1.02928i | 0.998726 | + | 0.0504645i | ||||
\(417\) | − | 9.99167i | − | 0.489294i | ||||||
\(418\) | 0.237523 | + | 0.508845i | 0.0116177 | + | 0.0248884i | ||||
\(419\) | −14.4882 | − | 8.36475i | −0.707794 | − | 0.408645i | 0.102450 | − | 0.994738i | \(-0.467332\pi\) |
−0.810244 | + | 0.586093i | \(0.800665\pi\) | |||||||
\(420\) | 10.3422 | + | 30.6350i | 0.504646 | + | 1.49483i | ||||
\(421\) | 13.2065 | 0.643646 | 0.321823 | − | 0.946800i | \(-0.395704\pi\) | ||||
0.321823 | + | 0.946800i | \(0.395704\pi\) | |||||||
\(422\) | 12.3108 | − | 32.6263i | 0.599278 | − | 1.58822i | ||||
\(423\) | 6.93053 | − | 4.00135i | 0.336974 | − | 0.194552i | ||||
\(424\) | −13.6873 | + | 7.27201i | −0.664715 | + | 0.353160i | ||||
\(425\) | −0.899337 | + | 0.519233i | −0.0436243 | + | 0.0251865i | ||||
\(426\) | −4.80773 | + | 0.789636i | −0.232935 | + | 0.0382580i | ||||
\(427\) | −5.57184 | − | 3.21690i | −0.269640 | − | 0.155677i | ||||
\(428\) | −1.11079 | + | 5.53599i | −0.0536920 | + | 0.267592i | ||||
\(429\) | −1.92211 | + | 28.6891i | −0.0928002 | + | 1.38512i | ||||
\(430\) | 16.9926 | + | 20.7409i | 0.819458 | + | 1.00021i | ||||
\(431\) | 17.9496 | − | 31.0896i | 0.864602 | − | 1.49753i | −0.00284073 | − | 0.999996i | \(-0.500904\pi\) |
0.867442 | − | 0.497538i | \(-0.165762\pi\) | |||||||
\(432\) | −1.27357 | − | 1.67127i | −0.0612745 | − | 0.0804090i | ||||
\(433\) | 3.26905 | + | 5.66217i | 0.157101 | + | 0.272106i | 0.933822 | − | 0.357738i | \(-0.116452\pi\) |
−0.776721 | + | 0.629844i | \(0.783119\pi\) | |||||||
\(434\) | −18.8651 | + | 15.4559i | −0.905556 | + | 0.741906i | ||||
\(435\) | 9.47410 | + | 16.4096i | 0.454248 | + | 0.786781i | ||||
\(436\) | 5.92478 | + | 17.5500i | 0.283745 | + | 0.840495i | ||||
\(437\) | − | 0.820611i | − | 0.0392551i | ||||||
\(438\) | −19.0448 | + | 50.4731i | −0.909998 | + | 2.41170i | ||||
\(439\) | 9.16547 | − | 15.8751i | 0.437444 | − | 0.757675i | −0.560048 | − | 0.828460i | \(-0.689217\pi\) |
0.997492 | + | 0.0707851i | \(0.0225505\pi\) | |||||||
\(440\) | −21.5415 | + | 5.24209i | −1.02695 | + | 0.249907i | ||||
\(441\) | −3.04234 | −0.144873 | ||||||||
\(442\) | −8.90228 | − | 1.60198i | −0.423438 | − | 0.0761985i | ||||
\(443\) | − | 13.3451i | − | 0.634046i | −0.948418 | − | 0.317023i | \(-0.897317\pi\) | ||
0.948418 | − | 0.317023i | \(-0.102683\pi\) | |||||||
\(444\) | 14.3822 | − | 16.3446i | 0.682550 | − | 0.775683i | ||||
\(445\) | −8.06216 | + | 13.9641i | −0.382183 | + | 0.661960i | ||||
\(446\) | −9.68775 | − | 3.65545i | −0.458728 | − | 0.173090i | ||||
\(447\) | 13.4756 | 0.637376 | ||||||||
\(448\) | −22.7032 | − | 1.60229i | −1.07262 | − | 0.0757011i | ||||
\(449\) | −4.77171 | − | 8.26485i | −0.225191 | − | 0.390042i | 0.731186 | − | 0.682178i | \(-0.238967\pi\) |
−0.956377 | + | 0.292136i | \(0.905634\pi\) | |||||||
\(450\) | −1.45939 | − | 1.78131i | −0.0687965 | − | 0.0839716i | ||||
\(451\) | −20.1227 | − | 19.6400i | −0.947542 | − | 0.924812i | ||||
\(452\) | 13.6530 | + | 12.0138i | 0.642184 | + | 0.565080i | ||||
\(453\) | 18.2691 | + | 10.5477i | 0.858358 | + | 0.495573i | ||||
\(454\) | −5.62332 | − | 6.86371i | −0.263915 | − | 0.322130i | ||||
\(455\) | 8.10361 | − | 22.8478i | 0.379903 | − | 1.07112i | ||||
\(456\) | −0.382024 | − | 0.719042i | −0.0178899 | − | 0.0336722i | ||||
\(457\) | −22.7228 | − | 13.1190i | −1.06293 | − | 0.613681i | −0.136686 | − | 0.990614i | \(-0.543645\pi\) |
−0.926240 | + | 0.376933i | \(0.876979\pi\) | |||||||
\(458\) | 7.62113 | − | 1.25172i | 0.356112 | − | 0.0584890i | ||||
\(459\) | 0.465925 | + | 0.807005i | 0.0217475 | + | 0.0376678i | ||||
\(460\) | 31.7647 | + | 6.37355i | 1.48104 | + | 0.297168i | ||||
\(461\) | −28.9757 | + | 16.7291i | −1.34953 | + | 0.779153i | −0.988183 | − | 0.153278i | \(-0.951017\pi\) |
−0.361349 | + | 0.932431i | \(0.617684\pi\) | |||||||
\(462\) | 2.78378 | − | 31.9645i | 0.129513 | − | 1.48712i | ||||
\(463\) | 7.51169i | 0.349098i | 0.984649 | + | 0.174549i | \(0.0558467\pi\) | ||||
−0.984649 | + | 0.174549i | \(0.944153\pi\) | |||||||
\(464\) | −13.2293 | + | 1.69674i | −0.614154 | + | 0.0787694i | ||||
\(465\) | 17.2229 | − | 29.8309i | 0.798692 | − | 1.38338i | ||||
\(466\) | 4.74389 | + | 28.8833i | 0.219756 | + | 1.33799i | ||||
\(467\) | − | 29.5145i | − | 1.36577i | −0.730528 | − | 0.682883i | \(-0.760726\pi\) | ||
0.730528 | − | 0.682883i | \(-0.239274\pi\) | |||||||
\(468\) | 0.306002 | − | 20.0556i | 0.0141449 | − | 0.927069i | ||||
\(469\) | 23.9050i | 1.10383i | ||||||||
\(470\) | −1.55848 | − | 9.48887i | −0.0718874 | − | 0.437689i | ||||
\(471\) | −41.3580 | − | 23.8780i | −1.90568 | − | 1.10024i | ||||
\(472\) | 22.0747 | − | 35.3016i | 1.01607 | − | 1.62489i | ||||
\(473\) | −7.19790 | − | 25.6150i | −0.330960 | − | 1.17778i | ||||
\(474\) | 41.8437 | + | 15.7887i | 1.92194 | + | 0.725201i | ||||
\(475\) | 0.0350434 | + | 0.0606969i | 0.00160790 | + | 0.00278496i | ||||
\(476\) | 9.89621 | + | 1.98566i | 0.453592 | + | 0.0910127i | ||||
\(477\) | 7.62111 | + | 13.2001i | 0.348947 | + | 0.604393i | ||||
\(478\) | 1.34794 | − | 0.221390i | 0.0616533 | − | 0.0101261i | ||||
\(479\) | −3.86917 | + | 6.70159i | −0.176787 | + | 0.306204i | −0.940778 | − | 0.339023i | \(-0.889904\pi\) |
0.763991 | + | 0.645226i | \(0.223237\pi\) | |||||||
\(480\) | 30.8003 | − | 9.20294i | 1.40583 | − | 0.420055i | ||||
\(481\) | −16.0514 | + | 2.96671i | −0.731882 | + | 0.135270i | ||||
\(482\) | 9.42609 | − | 7.72263i | 0.429347 | − | 0.351756i | ||||
\(483\) | −23.4437 | + | 40.6056i | −1.06672 | + | 1.84762i | ||||
\(484\) | 21.6688 | + | 3.80311i | 0.984945 | + | 0.172869i | ||||
\(485\) | 0.695903 | + | 1.20534i | 0.0315993 | + | 0.0547317i | ||||
\(486\) | −23.5479 | + | 19.2924i | −1.06815 | + | 0.875121i | ||||
\(487\) | 3.37188 | − | 1.94676i | 0.152795 | − | 0.0882160i | −0.421653 | − | 0.906757i | \(-0.638550\pi\) |
0.574448 | + | 0.818541i | \(0.305217\pi\) | |||||||
\(488\) | −3.39134 | + | 5.42339i | −0.153519 | + | 0.245505i | ||||
\(489\) | −11.8234 | −0.534671 | ||||||||
\(490\) | −1.29056 | + | 3.42028i | −0.0583017 | + | 0.154513i | ||||
\(491\) | 6.79853 | − | 11.7754i | 0.306813 | − | 0.531416i | −0.670850 | − | 0.741593i | \(-0.734071\pi\) |
0.977663 | + | 0.210177i | \(0.0674039\pi\) | |||||||
\(492\) | 30.6081 | + | 26.9331i | 1.37992 | + | 1.21424i | ||||
\(493\) | 5.91499 | 0.266398 | ||||||||
\(494\) | −0.108119 | + | 0.600821i | −0.00486449 | + | 0.0270322i | ||||
\(495\) | 5.89814 | + | 20.9896i | 0.265102 | + | 0.943413i | ||||
\(496\) | 14.6960 | + | 19.2851i | 0.659868 | + | 0.865928i | ||||
\(497\) | −3.53012 | − | 2.03812i | −0.158348 | − | 0.0914220i | ||||
\(498\) | −29.2529 | − | 11.0379i | −1.31085 | − | 0.494620i | ||||
\(499\) | 3.18132i | 0.142415i | 0.997462 | + | 0.0712077i | \(0.0226853\pi\) | ||||
−0.997462 | + | 0.0712077i | \(0.977315\pi\) | |||||||
\(500\) | 19.7702 | − | 6.67429i | 0.884151 | − | 0.298483i | ||||
\(501\) | 43.5399 | − | 25.1378i | 1.94522 | − | 1.12307i | ||||
\(502\) | −30.4314 | + | 24.9319i | −1.35822 | + | 1.11277i | ||||
\(503\) | 4.40223 | + | 7.62489i | 0.196286 | + | 0.339977i | 0.947321 | − | 0.320285i | \(-0.103779\pi\) |
−0.751035 | + | 0.660262i | \(0.770445\pi\) | |||||||
\(504\) | −0.788351 | + | 22.3684i | −0.0351160 | + | 0.996367i | ||||
\(505\) | 16.9865 | + | 9.80716i | 0.755890 | + | 0.436413i | ||||
\(506\) | −26.3424 | − | 18.4296i | −1.17106 | − | 0.819295i | ||||
\(507\) | −19.6956 | + | 24.2727i | −0.874712 | + | 1.07799i | ||||
\(508\) | 3.53634 | − | 17.6245i | 0.156900 | − | 0.781962i | ||||
\(509\) | −2.33061 | + | 4.03674i | −0.103303 | + | 0.178925i | −0.913043 | − | 0.407862i | \(-0.866274\pi\) |
0.809741 | + | 0.586788i | \(0.199608\pi\) | |||||||
\(510\) | −14.0675 | + | 2.31050i | −0.622922 | + | 0.102311i | ||||
\(511\) | −39.0871 | + | 22.5670i | −1.72911 | + | 0.998303i | ||||
\(512\) | −2.38700 | + | 22.5012i | −0.105492 | + | 0.994420i | ||||
\(513\) | 0.0544653 | − | 0.0314456i | 0.00240470 | − | 0.00138836i | ||||
\(514\) | −11.4543 | + | 30.3564i | −0.505227 | + | 1.33896i | ||||
\(515\) | − | 1.13708i | − | 0.0501055i | ||||||
\(516\) | 12.3399 | + | 36.5525i | 0.543232 | + | 1.60913i | ||||
\(517\) | −2.35764 | + | 9.24636i | −0.103689 | + | 0.406654i | ||||
\(518\) | 17.9740 | − | 2.95212i | 0.789734 | − | 0.129709i | ||||
\(519\) | −3.25465 | −0.142863 | ||||||||
\(520\) | −22.4172 | − | 8.85161i | −0.983060 | − | 0.388169i | ||||
\(521\) | 0.887537 | 0.0388837 | 0.0194419 | − | 0.999811i | \(-0.493811\pi\) | ||||
0.0194419 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(522\) | 2.12581 | + | 12.9431i | 0.0930443 | + | 0.566504i | ||||
\(523\) | −0.344696 | + | 0.597031i | −0.0150725 | + | 0.0261063i | −0.873463 | − | 0.486890i | \(-0.838131\pi\) |
0.858391 | + | 0.512996i | \(0.171465\pi\) | |||||||
\(524\) | −38.7291 | + | 13.0747i | −1.69189 | + | 0.571170i | ||||
\(525\) | − | 4.00455i | − | 0.174773i | ||||||
\(526\) | −9.17504 | + | 24.3159i | −0.400051 | + | 1.06022i | ||||
\(527\) | −5.37640 | − | 9.31221i | −0.234200 | − | 0.405646i | ||||
\(528\) | −31.6616 | − | 3.88521i | −1.37789 | − | 0.169082i | ||||
\(529\) | 11.9902 | + | 20.7677i | 0.521315 | + | 0.902943i | ||||
\(530\) | 18.0728 | − | 2.96834i | 0.785034 | − | 0.128937i | ||||
\(531\) | −35.4594 | − | 20.4725i | −1.53881 | − | 0.888430i | ||||
\(532\) | 0.134014 | − | 0.667902i | 0.00581023 | − | 0.0289572i | ||||
\(533\) | −5.55566 | − | 30.0590i | −0.240642 | − | 1.30200i | ||||
\(534\) | −17.9462 | + | 14.7030i | −0.776609 | + | 0.636262i | ||||
\(535\) | 3.33606 | − | 5.77822i | 0.144230 | − | 0.249814i | ||||
\(536\) | 23.7514 | + | 0.837093i | 1.02590 | + | 0.0361569i | ||||
\(537\) | −24.4574 | − | 42.3614i | −1.05541 | − | 1.82803i | ||||
\(538\) | −14.5193 | − | 17.7219i | −0.625970 | − | 0.764047i | ||||
\(539\) | 2.53378 | − | 2.59605i | 0.109138 | − | 0.111820i | ||||
\(540\) | 0.794192 | + | 2.35251i | 0.0341766 | + | 0.101236i | ||||
\(541\) | 37.6668i | 1.61942i | 0.586827 | + | 0.809712i | \(0.300377\pi\) | ||||
−0.586827 | + | 0.809712i | \(0.699623\pi\) | |||||||
\(542\) | 0.370323 | − | 0.981438i | 0.0159067 | − | 0.0421564i | ||||
\(543\) | 27.4930 | + | 15.8731i | 1.17984 | + | 0.681180i | ||||
\(544\) | 2.31944 | − | 9.76309i | 0.0994453 | − | 0.418589i | ||||
\(545\) | − | 21.8883i | − | 0.937592i | ||||||
\(546\) | 22.5145 | − | 26.6411i | 0.963533 | − | 1.14013i | ||||
\(547\) | 35.3135 | 1.50989 | 0.754947 | − | 0.655785i | \(-0.227662\pi\) | ||||
0.754947 | + | 0.655785i | \(0.227662\pi\) | |||||||
\(548\) | 20.1043 | + | 17.6905i | 0.858814 | + | 0.755700i | ||||
\(549\) | 5.44763 | + | 3.14519i | 0.232499 | + | 0.134233i | ||||
\(550\) | 2.73544 | + | 0.238230i | 0.116640 | + | 0.0101581i | ||||
\(551\) | − | 0.399206i | − | 0.0170068i | ||||||
\(552\) | 39.5237 | + | 24.7149i | 1.68224 | + | 1.05194i | ||||
\(553\) | 18.7087 | + | 32.4044i | 0.795574 | + | 1.37797i | ||||
\(554\) | −13.1756 | + | 10.7946i | −0.559779 | + | 0.458617i | ||||
\(555\) | −22.2800 | + | 12.8634i | −0.945733 | + | 0.546019i | ||||
\(556\) | −6.23929 | − | 5.49016i | −0.264605 | − | 0.232835i | ||||
\(557\) | 39.8949 | + | 23.0333i | 1.69040 | + | 0.975954i | 0.954189 | + | 0.299203i | \(0.0967209\pi\) |
0.736212 | + | 0.676751i | \(0.236612\pi\) | |||||||
\(558\) | 18.4446 | − | 15.1113i | 0.780821 | − | 0.639713i | ||||
\(559\) | 9.66891 | − | 27.2611i | 0.408951 | − | 1.15302i | ||||
\(560\) | 24.8127 | + | 10.3750i | 1.04853 | + | 0.438423i | ||||
\(561\) | 13.7080 | + | 3.49528i | 0.578753 | + | 0.147571i | ||||
\(562\) | 4.09881 | + | 24.9557i | 0.172898 | + | 1.05269i | ||||
\(563\) | 0.258018 | + | 0.446901i | 0.0108742 | + | 0.0188346i | 0.871411 | − | 0.490553i | \(-0.163205\pi\) |
−0.860537 | + | 0.509388i | \(0.829872\pi\) | |||||||
\(564\) | 2.72188 | − | 13.5654i | 0.114612 | − | 0.571206i | ||||
\(565\) | −10.7450 | − | 18.6109i | −0.452047 | − | 0.782968i | ||||
\(566\) | 4.43652 | − | 11.7578i | 0.186481 | − | 0.494216i | ||||
\(567\) | −27.3334 | −1.14790 | ||||||||
\(568\) | −2.14863 | + | 3.43606i | −0.0901547 | + | 0.144174i | ||||
\(569\) | 32.7473 | + | 18.9066i | 1.37284 | + | 0.792608i | 0.991284 | − | 0.131740i | \(-0.0420563\pi\) |
0.381552 | + | 0.924347i | \(0.375390\pi\) | |||||||
\(570\) | 0.155937 | + | 0.949428i | 0.00653149 | + | 0.0397672i | ||||
\(571\) | −4.65834 | −0.194945 | −0.0974726 | − | 0.995238i | \(-0.531076\pi\) | ||||
−0.0974726 | + | 0.995238i | \(0.531076\pi\) | |||||||
\(572\) | 16.8587 | + | 16.9642i | 0.704899 | + | 0.709308i | ||||
\(573\) | −49.2613 | −2.05792 | ||||||||
\(574\) | 5.52834 | + | 33.6595i | 0.230748 | + | 1.40492i | ||||
\(575\) | −3.47493 | − | 2.00625i | −0.144915 | − | 0.0836666i | ||||
\(576\) | 22.1970 | + | 1.56657i | 0.924877 | + | 0.0652738i | ||||
\(577\) | −29.2749 | −1.21873 | −0.609364 | − | 0.792890i | \(-0.708575\pi\) | ||||
−0.609364 | + | 0.792890i | \(0.708575\pi\) | |||||||
\(578\) | 6.91637 | − | 18.3299i | 0.287683 | − | 0.762424i | ||||
\(579\) | −6.69169 | − | 11.5903i | −0.278097 | − | 0.481678i | ||||
\(580\) | 15.4527 | + | 3.10057i | 0.641640 | + | 0.128744i | ||||
\(581\) | −13.0792 | − | 22.6539i | −0.542618 | − | 0.939842i | ||||
\(582\) | 0.324560 | + | 1.97610i | 0.0134535 | + | 0.0819118i | ||||
\(583\) | −17.6109 | − | 4.49045i | −0.729371 | − | 0.185975i | ||||
\(584\) | 21.0532 | + | 39.6262i | 0.871188 | + | 1.63974i | ||||
\(585\) | −7.92295 | + | 22.3385i | −0.327574 | + | 0.923581i | ||||
\(586\) | 26.2887 | − | 21.5379i | 1.08598 | − | 0.889722i | ||||
\(587\) | −3.28323 | − | 1.89557i | −0.135513 | − | 0.0782386i | 0.430711 | − | 0.902490i | \(-0.358263\pi\) |
−0.566224 | + | 0.824251i | \(0.691596\pi\) | |||||||
\(588\) | −3.47468 | + | 3.94879i | −0.143293 | + | 0.162845i | ||||
\(589\) | −0.628487 | + | 0.362857i | −0.0258964 | + | 0.0149513i | ||||
\(590\) | −38.0576 | + | 31.1799i | −1.56681 | + | 1.28366i | ||||
\(591\) | −13.7238 | − | 23.7703i | −0.564521 | − | 0.977778i | ||||
\(592\) | −2.30374 | − | 17.9619i | −0.0946830 | − | 0.738230i | ||||
\(593\) | − | 15.0865i | − | 0.619530i | −0.950813 | − | 0.309765i | \(-0.899750\pi\) | ||
0.950813 | − | 0.309765i | \(-0.100250\pi\) | |||||||
\(594\) | 0.213771 | − | 2.45461i | 0.00877115 | − | 0.100714i | ||||
\(595\) | −10.3292 | − | 5.96359i | −0.423457 | − | 0.244483i | ||||
\(596\) | 7.40452 | − | 8.41485i | 0.303301 | − | 0.344686i | ||||
\(597\) | −2.51407 | −0.102894 | ||||||||
\(598\) | −11.8381 | − | 32.8839i | −0.484096 | − | 1.34472i | ||||
\(599\) | − | 33.5170i | − | 1.36947i | −0.728794 | − | 0.684733i | \(-0.759919\pi\) | ||
0.728794 | − | 0.684733i | \(-0.240081\pi\) | |||||||
\(600\) | −3.97882 | − | 0.140229i | −0.162435 | − | 0.00572484i | ||||
\(601\) | 5.37992 | + | 3.10610i | 0.219451 | + | 0.126700i | 0.605696 | − | 0.795696i | \(-0.292895\pi\) |
−0.386245 | + | 0.922396i | \(0.626228\pi\) | |||||||
\(602\) | −11.3948 | + | 30.1987i | −0.464416 | + | 1.23081i | ||||
\(603\) | − | 23.3721i | − | 0.951784i | ||||||
\(604\) | 16.6249 | − | 5.61245i | 0.676457 | − | 0.228367i | ||||
\(605\) | −22.8228 | − | 12.4480i | −0.927879 | − | 0.506085i | ||||
\(606\) | 17.8854 | + | 21.8306i | 0.726545 | + | 0.886806i | ||||
\(607\) | −13.6690 | − | 23.6754i | −0.554808 | − | 0.960956i | −0.997918 | − | 0.0644889i | \(-0.979458\pi\) |
0.443110 | − | 0.896467i | \(-0.353875\pi\) | |||||||
\(608\) | −0.658917 | − | 0.156541i | −0.0267226 | − | 0.00634857i | ||||
\(609\) | −11.4048 | + | 19.7536i | −0.462144 | + | 0.800457i | ||||
\(610\) | 5.84679 | − | 4.79018i | 0.236730 | − | 0.193949i | ||||
\(611\) | −7.89139 | + | 6.73311i | −0.319252 | + | 0.272392i | ||||
\(612\) | −9.67560 | − | 1.94140i | −0.391113 | − | 0.0784763i | ||||
\(613\) | −3.54034 | − | 2.04402i | −0.142993 | − | 0.0825570i | 0.426797 | − | 0.904348i | \(-0.359642\pi\) |
−0.569790 | + | 0.821791i | \(0.692975\pi\) | |||||||
\(614\) | 14.8192 | − | 2.43395i | 0.598053 | − | 0.0982261i | ||||
\(615\) | −24.0888 | − | 41.7231i | −0.971356 | − | 1.68244i | ||||
\(616\) | −18.4306 | − | 19.3020i | −0.742588 | − | 0.777699i | ||||
\(617\) | −14.1354 | − | 24.4832i | −0.569068 | − | 0.985655i | −0.996658 | − | 0.0816822i | \(-0.973971\pi\) |
0.427590 | − | 0.903973i | \(-0.359363\pi\) | |||||||
\(618\) | 0.577579 | − | 1.53071i | 0.0232336 | − | 0.0615743i | ||||
\(619\) | − | 17.8573i | − | 0.717744i | −0.933387 | − | 0.358872i | \(-0.883161\pi\) | ||
0.933387 | − | 0.358872i | \(-0.116839\pi\) | |||||||
\(620\) | −9.16435 | − | 27.1461i | −0.368049 | − | 1.09021i | ||||
\(621\) | −1.80028 | + | 3.11817i | −0.0722427 | + | 0.125128i | ||||
\(622\) | −4.98693 | − | 30.3631i | −0.199958 | − | 1.21745i | ||||
\(623\) | −19.4102 | −0.777652 | ||||||||
\(624\) | −25.6815 | − | 23.3028i | −1.02808 | − | 0.932857i | ||||
\(625\) | −27.5843 | −1.10337 | ||||||||
\(626\) | −21.6477 | + | 3.55548i | −0.865215 | + | 0.142106i | ||||
\(627\) | 0.235898 | − | 0.925163i | 0.00942088 | − | 0.0369475i | ||||
\(628\) | −37.6358 | + | 12.7056i | −1.50183 | + | 0.507008i | ||||
\(629\) | 8.03102i | 0.320218i | ||||||||
\(630\) | 9.33716 | − | 24.7456i | 0.372001 | − | 0.985886i | ||||
\(631\) | 10.8235 | − | 6.24896i | 0.430878 | − | 0.248767i | −0.268843 | − | 0.963184i | \(-0.586641\pi\) |
0.699720 | + | 0.714417i | \(0.253308\pi\) | |||||||
\(632\) | 32.8513 | − | 17.4537i | 1.30675 | − | 0.694272i | ||||
\(633\) | −51.3462 | + | 29.6448i | −2.04083 | + | 1.17827i | ||||
\(634\) | 34.1063 | − | 5.60172i | 1.35453 | − | 0.222473i | ||||
\(635\) | −10.6208 | + | 18.3957i | −0.421472 | + | 0.730011i | ||||
\(636\) | 25.8372 | + | 5.18419i | 1.02451 | + | 0.205567i | ||||
\(637\) | 3.87795 | − | 0.716742i | 0.153650 | − | 0.0283984i | ||||
\(638\) | −12.8149 | − | 8.96553i | −0.507347 | − | 0.354949i | ||||
\(639\) | 3.45142 | + | 1.99268i | 0.136536 | + | 0.0788292i | ||||
\(640\) | 11.1772 | − | 24.2900i | 0.441817 | − | 0.960145i | ||||
\(641\) | 2.29260 | + | 3.97090i | 0.0905522 | + | 0.156841i | 0.907744 | − | 0.419525i | \(-0.137803\pi\) |
−0.817191 | + | 0.576366i | \(0.804470\pi\) | |||||||
\(642\) | 7.42601 | − | 6.08400i | 0.293081 | − | 0.240116i | ||||
\(643\) | −31.8153 | + | 18.3686i | −1.25467 | + | 0.724386i | −0.972034 | − | 0.234841i | \(-0.924543\pi\) |
−0.282639 | + | 0.959226i | \(0.591210\pi\) | |||||||
\(644\) | 12.4744 | + | 36.9511i | 0.491562 | + | 1.45608i | ||||
\(645\) | − | 45.5880i | − | 1.79503i | ||||||
\(646\) | 0.281011 | + | 0.106033i | 0.0110562 | + | 0.00417182i | ||||
\(647\) | −21.4528 | − | 12.3858i | −0.843395 | − | 0.486935i | 0.0150216 | − | 0.999887i | \(-0.495218\pi\) |
−0.858417 | + | 0.512953i | \(0.828552\pi\) | |||||||
\(648\) | −0.957148 | + | 27.1578i | −0.0376003 | + | 1.06686i | ||||
\(649\) | 47.0013 | − | 13.2075i | 1.84496 | − | 0.518439i | ||||
\(650\) | 2.27988 | + | 1.92674i | 0.0894244 | + | 0.0755730i | ||||
\(651\) | 41.4652 | 1.62515 | ||||||||
\(652\) | −6.49664 | + | 7.38309i | −0.254428 | + | 0.289144i | ||||
\(653\) | −10.2499 | + | 17.7533i | −0.401108 | + | 0.694739i | −0.993860 | − | 0.110646i | \(-0.964708\pi\) |
0.592752 | + | 0.805385i | \(0.298041\pi\) | |||||||
\(654\) | 11.1182 | − | 29.4657i | 0.434756 | − | 1.15220i | ||||
\(655\) | 48.3026 | 1.88734 | ||||||||
\(656\) | 33.6367 | − | 4.31414i | 1.31329 | − | 0.168439i | ||||
\(657\) | 38.2157 | − | 22.0639i | 1.49094 | − | 0.860793i | ||||
\(658\) | 8.95417 | − | 7.33599i | 0.349070 | − | 0.285987i | ||||
\(659\) | 21.2486 | + | 36.8037i | 0.827729 | + | 1.43367i | 0.899816 | + | 0.436270i | \(0.143701\pi\) |
−0.0720871 | + | 0.997398i | \(0.522966\pi\) | |||||||
\(660\) | 33.9796 | + | 16.3169i | 1.32266 | + | 0.635135i | ||||
\(661\) | −15.5819 | + | 26.9886i | −0.606065 | + | 1.04973i | 0.385817 | + | 0.922575i | \(0.373919\pi\) |
−0.991882 | + | 0.127160i | \(0.959414\pi\) | |||||||
\(662\) | −0.150794 | + | 0.123543i | −0.00586077 | + | 0.00480163i | ||||
\(663\) | 9.98204 | + | 11.6992i | 0.387670 | + | 0.454361i | ||||
\(664\) | −22.9663 | + | 12.2019i | −0.891266 | + | 0.473526i | ||||
\(665\) | −0.402486 | + | 0.697127i | −0.0156078 | + | 0.0270334i | ||||
\(666\) | −17.5733 | + | 2.88630i | −0.680953 | + | 0.111842i | ||||
\(667\) | 11.4274 | + | 19.7929i | 0.442471 | + | 0.766382i | ||||
\(668\) | 8.22680 | − | 41.0010i | 0.318304 | − | 1.58638i | ||||
\(669\) | 8.80245 | + | 15.2463i | 0.340323 | + | 0.589456i | ||||
\(670\) | −26.2755 | − | 9.91445i | −1.01511 | − | 0.383028i | ||||
\(671\) | −7.22081 | + | 2.02907i | −0.278756 | + | 0.0783313i | ||||
\(672\) | 28.1325 | + | 26.5703i | 1.08524 | + | 1.02497i | ||||
\(673\) | −41.6713 | − | 24.0589i | −1.60631 | − | 0.927403i | −0.990186 | − | 0.139754i | \(-0.955369\pi\) |
−0.616124 | − | 0.787650i | \(-0.711298\pi\) | |||||||
\(674\) | −4.67380 | − | 28.4566i | −0.180028 | − | 1.09611i | ||||
\(675\) | − | 0.307516i | − | 0.0118363i | ||||||
\(676\) | 4.33482 | + | 25.6361i | 0.166724 | + | 0.986004i | ||||
\(677\) | − | 3.87466i | − | 0.148915i | −0.997224 | − | 0.0744576i | \(-0.976277\pi\) | ||
0.997224 | − | 0.0744576i | \(-0.0237225\pi\) | |||||||
\(678\) | −5.01134 | − | 30.5117i | −0.192459 | − | 1.17180i | ||||
\(679\) | −0.837716 | + | 1.45097i | −0.0321486 | + | 0.0556830i | ||||
\(680\) | −6.28697 | + | 10.0540i | −0.241094 | + | 0.385554i | ||||
\(681\) | 15.0863i | 0.578108i | ||||||||
\(682\) | −2.46675 | + | 28.3242i | −0.0944569 | + | 1.08459i | ||||
\(683\) | 15.6216 | − | 9.01915i | 0.597745 | − | 0.345108i | −0.170409 | − | 0.985373i | \(-0.554509\pi\) |
0.768154 | + | 0.640265i | \(0.221176\pi\) | |||||||
\(684\) | −0.131026 | + | 0.653012i | −0.00500991 | + | 0.0249686i | ||||
\(685\) | −15.8223 | − | 27.4050i | −0.604537 | − | 1.04709i | ||||
\(686\) | 23.4488 | − | 3.85131i | 0.895280 | − | 0.147044i | ||||
\(687\) | −11.3720 | − | 6.56562i | −0.433868 | − | 0.250494i | ||||
\(688\) | 29.6056 | + | 12.3790i | 1.12870 | + | 0.471946i | ||||
\(689\) | −12.8241 | − | 15.0302i | −0.488560 | − | 0.572606i | ||||
\(690\) | −34.9091 | − | 42.6094i | −1.32897 | − | 1.62211i | ||||
\(691\) | 44.9224 | + | 25.9360i | 1.70893 | + | 0.986651i | 0.935889 | + | 0.352294i | \(0.114598\pi\) |
0.773041 | + | 0.634357i | \(0.218735\pi\) | |||||||
\(692\) | −1.78835 | + | 2.03236i | −0.0679827 | + | 0.0772588i | ||||
\(693\) | −18.3318 | + | 18.7823i | −0.696366 | + | 0.713481i | ||||
\(694\) | 16.1712 | + | 19.7382i | 0.613849 | + | 0.749252i | ||||
\(695\) | 4.91037 | + | 8.50501i | 0.186261 | + | 0.322613i | ||||
\(696\) | 19.2273 | + | 12.0232i | 0.728809 | + | 0.455738i | ||||
\(697\) | −15.0394 | −0.569659 | ||||||||
\(698\) | 27.7300 | + | 10.4633i | 1.04960 | + | 0.396041i | ||||
\(699\) | 24.8830 | − | 43.0987i | 0.941163 | − | 1.63014i | ||||
\(700\) | −2.50064 | − | 2.20040i | −0.0945152 | − | 0.0831672i | ||||
\(701\) | 13.1263i | 0.495773i | 0.968789 | + | 0.247886i | \(0.0797360\pi\) | ||||
−0.968789 | + | 0.247886i | \(0.920264\pi\) | |||||||
\(702\) | 1.72893 | − | 2.04582i | 0.0652542 | − | 0.0772144i | ||||
\(703\) | 0.542019 | 0.0204426 | ||||||||
\(704\) | −19.8233 | + | 17.6362i | −0.747120 | + | 0.664690i | ||||
\(705\) | −8.17468 | + | 14.1590i | −0.307876 | + | 0.533258i | ||||
\(706\) | −16.7319 | + | 44.3433i | −0.629713 | + | 1.66888i | ||||
\(707\) | 23.6114i | 0.887997i | ||||||||
\(708\) | −67.0705 | + | 22.6425i | −2.52066 | + | 0.850958i | ||||
\(709\) | −16.0326 | − | 27.7693i | −0.602117 | − | 1.04290i | −0.992500 | − | 0.122245i | \(-0.960991\pi\) |
0.390383 | − | 0.920653i | \(-0.372343\pi\) | |||||||
\(710\) | 3.70432 | − | 3.03489i | 0.139021 | − | 0.113897i | ||||
\(711\) | −18.2916 | − | 31.6820i | −0.685989 | − | 1.18817i | ||||
\(712\) | −0.679696 | + | 19.2854i | −0.0254727 | + | 0.722752i | ||||
\(713\) | 20.7738 | − | 35.9813i | 0.777985 | − | 1.34751i | ||||
\(714\) | −10.8758 | − | 13.2748i | −0.407018 | − | 0.496798i | ||||
\(715\) | −12.4630 | − | 25.3651i | −0.466091 | − | 0.948599i | ||||
\(716\) | −39.8913 | − | 8.00413i | −1.49081 | − | 0.299128i | ||||
\(717\) | −2.01135 | − | 1.16125i | −0.0751152 | − | 0.0433678i | ||||
\(718\) | −3.39656 | + | 0.557862i | −0.126759 | + | 0.0208192i | ||||
\(719\) | −7.02705 | + | 4.05707i | −0.262065 | + | 0.151303i | −0.625276 | − | 0.780404i | \(-0.715014\pi\) |
0.363211 | + | 0.931707i | \(0.381680\pi\) | |||||||
\(720\) | −24.2596 | − | 10.1437i | −0.904101 | − | 0.378033i | ||||
\(721\) | 1.18541 | − | 0.684395i | 0.0441469 | − | 0.0254882i | ||||
\(722\) | −9.47881 | + | 25.1210i | −0.352765 | + | 0.934906i | ||||
\(723\) | −20.7184 | −0.770524 | ||||||||
\(724\) | 25.0186 | − | 8.44612i | 0.929810 | − | 0.313898i | ||||
\(725\) | −1.69047 | − | 0.975992i | −0.0627824 | − | 0.0362474i | ||||
\(726\) | −24.4007 | − | 28.3502i | −0.905595 | − | 1.05218i | ||||
\(727\) | 15.8192i | 0.586700i | 0.956005 | + | 0.293350i | \(0.0947702\pi\) | ||||
−0.956005 | + | 0.293350i | \(0.905230\pi\) | |||||||
\(728\) | −4.26487 | − | 28.6978i | −0.158066 | − | 1.06361i | ||||
\(729\) | 22.9348 | 0.849437 | ||||||||
\(730\) | −8.59364 | − | 52.3227i | −0.318065 | − | 1.93655i | ||||
\(731\) | −12.3244 | − | 7.11552i | −0.455836 | − | 0.263177i | ||||
\(732\) | 10.3040 | − | 3.47858i | 0.380848 | − | 0.128572i | ||||
\(733\) | 19.3043i | 0.713022i | 0.934291 | + | 0.356511i | \(0.116034\pi\) | ||||
−0.934291 | + | 0.356511i | \(0.883966\pi\) | |||||||
\(734\) | 19.3159 | + | 7.28840i | 0.712962 | + | 0.269020i | ||||
\(735\) | 5.38274 | − | 3.10773i | 0.198545 | − | 0.114630i | ||||
\(736\) | 37.1505 | − | 11.1003i | 1.36938 | − | 0.409164i | ||||
\(737\) | 19.9436 | + | 19.4652i | 0.734630 | + | 0.717008i | ||||
\(738\) | −5.40509 | − | 32.9091i | −0.198964 | − | 1.21140i | ||||
\(739\) | −22.8795 | + | 39.6284i | −0.841634 | + | 1.45775i | 0.0468778 | + | 0.998901i | \(0.485073\pi\) |
−0.888512 | + | 0.458853i | \(0.848260\pi\) | |||||||
\(740\) | −4.20977 | + | 20.9808i | −0.154754 | + | 0.771270i | ||||
\(741\) | 0.789589 | − | 0.673695i | 0.0290063 | − | 0.0247488i | ||||
\(742\) | 13.9724 | + | 17.0544i | 0.512943 | + | 0.626088i | ||||
\(743\) | −15.4388 | + | 26.7408i | −0.566394 | + | 0.981023i | 0.430524 | + | 0.902579i | \(0.358329\pi\) |
−0.996918 | + | 0.0784444i | \(0.975005\pi\) | |||||||
\(744\) | 1.45201 | − | 41.1988i | 0.0532332 | − | 1.51042i | ||||
\(745\) | −11.4706 | + | 6.62255i | −0.420250 | + | 0.242631i | ||||
\(746\) | −35.2548 | + | 28.8836i | −1.29077 | + | 1.05751i | ||||
\(747\) | 12.7877 | + | 22.1489i | 0.467876 | + | 0.810385i | ||||
\(748\) | 9.71482 | − | 6.63939i | 0.355209 | − | 0.242760i | ||||
\(749\) | 8.03177 | 0.293475 | ||||||||
\(750\) | −33.1933 | − | 12.5247i | −1.21205 | − | 0.457338i | ||||
\(751\) | 12.5919 | + | 7.26994i | 0.459485 | + | 0.265284i | 0.711828 | − | 0.702354i | \(-0.247868\pi\) |
−0.252343 | + | 0.967638i | \(0.581201\pi\) | |||||||
\(752\) | −6.97530 | − | 9.15351i | −0.254363 | − | 0.333794i | ||||
\(753\) | 66.8876 | 2.43752 | ||||||||
\(754\) | −5.75893 | − | 15.9972i | −0.209728 | − | 0.582584i | ||||
\(755\) | −20.7345 | −0.754605 | ||||||||
\(756\) | −1.97449 | + | 2.24391i | −0.0718115 | + | 0.0816101i | ||||
\(757\) | 13.2309 | − | 22.9165i | 0.480884 | − | 0.832916i | −0.518875 | − | 0.854850i | \(-0.673649\pi\) |
0.999759 | + | 0.0219342i | \(0.00698243\pi\) | |||||||
\(758\) | −10.0618 | − | 3.79659i | −0.365461 | − | 0.137898i | ||||
\(759\) | 14.7871 | + | 52.6227i | 0.536739 | + | 1.91008i | ||||
\(760\) | 0.678553 | + | 0.424312i | 0.0246137 | + | 0.0153914i | ||||
\(761\) | 43.5122 | − | 25.1218i | 1.57732 | − | 0.910663i | 0.582083 | − | 0.813129i | \(-0.302238\pi\) |
0.995232 | − | 0.0975339i | \(-0.0310955\pi\) | |||||||
\(762\) | −23.6416 | + | 19.3692i | −0.856446 | + | 0.701672i | ||||
\(763\) | 22.8187 | − | 13.1744i | 0.826092 | − | 0.476944i | ||||
\(764\) | −27.0678 | + | 30.7611i | −0.979278 | + | 1.11290i | ||||
\(765\) | 10.0990 | + | 5.83064i | 0.365129 | + | 0.210807i | ||||
\(766\) | 7.98501 | − | 6.54198i | 0.288510 | − | 0.236371i | ||||
\(767\) | 50.0217 | + | 17.7416i | 1.80618 | + | 0.640611i | ||||
\(768\) | 27.3847 | − | 27.0213i | 0.988159 | − | 0.975048i | ||||
\(769\) | −3.32733 | − | 1.92103i | −0.119986 | − | 0.0692742i | 0.438806 | − | 0.898582i | \(-0.355402\pi\) |
−0.558792 | + | 0.829308i | \(0.688735\pi\) | |||||||
\(770\) | 13.3392 | + | 28.5765i | 0.480712 | + | 1.02983i | ||||
\(771\) | 47.7740 | − | 27.5824i | 1.72054 | − | 0.993354i | ||||
\(772\) | −10.9145 | − | 2.18998i | −0.392821 | − | 0.0788190i | ||||
\(773\) | 16.3563 | + | 28.3299i | 0.588295 | + | 1.01896i | 0.994456 | + | 0.105155i | \(0.0335340\pi\) |
−0.406161 | + | 0.913802i | \(0.633133\pi\) | |||||||
\(774\) | 11.1407 | − | 29.5254i | 0.400446 | − | 1.06127i | ||||
\(775\) | 3.54850i | 0.127466i | ||||||||
\(776\) | 1.41231 | + | 0.883142i | 0.0506989 | + | 0.0317030i | ||||
\(777\) | −26.8203 | − | 15.4847i | −0.962172 | − | 0.555510i | ||||
\(778\) | 11.4025 | − | 1.87279i | 0.408800 | − | 0.0671426i | ||||
\(779\) | 1.01502i | 0.0363669i | ||||||||
\(780\) | 19.9452 | + | 35.7964i | 0.714153 | + | 1.28172i | ||||
\(781\) | −4.57485 | + | 1.28554i | −0.163701 | + | 0.0460004i | ||||
\(782\) | −16.9679 | + | 2.78686i | −0.606771 | + | 0.0996580i | ||||
\(783\) | −0.875790 | + | 1.51691i | −0.0312982 | + | 0.0542101i | ||||
\(784\) | 0.556572 | + | 4.33951i | 0.0198776 | + | 0.154983i | ||||
\(785\) | 46.9391 | 1.67533 | ||||||||
\(786\) | 65.0243 | + | 24.5354i | 2.31934 | + | 0.875149i | ||||
\(787\) | −9.16093 | − | 15.8672i | −0.326552 | − | 0.565605i | 0.655273 | − | 0.755392i | \(-0.272553\pi\) |
−0.981825 | + | 0.189787i | \(0.939220\pi\) | |||||||
\(788\) | −22.3842 | − | 4.49136i | −0.797403 | − | 0.159998i | ||||
\(789\) | 38.2677 | − | 22.0939i | 1.36237 | − | 0.786562i | ||||
\(790\) | −43.3771 | + | 7.12439i | −1.54329 | + | 0.253474i | ||||
\(791\) | 12.9347 | − | 22.4035i | 0.459904 | − | 0.796577i | ||||
\(792\) | 18.0197 | + | 18.8717i | 0.640301 | + | 0.670576i | ||||
\(793\) | −7.68484 | − | 2.72564i | −0.272897 | − | 0.0967903i | ||||
\(794\) | 20.0289 | + | 24.4469i | 0.710799 | + | 0.867587i | ||||
\(795\) | −26.9677 | − | 15.5698i | −0.956445 | − | 0.552204i | ||||
\(796\) | −1.38142 | + | 1.56991i | −0.0489631 | + | 0.0556440i | ||||
\(797\) | −0.786274 | − | 1.36187i | −0.0278513 | − | 0.0482398i | 0.851764 | − | 0.523926i | \(-0.175533\pi\) |
−0.879615 | + | 0.475686i | \(0.842200\pi\) | |||||||
\(798\) | −0.895928 | + | 0.734018i | −0.0317155 | + | 0.0259840i | ||||
\(799\) | 2.55186 | + | 4.41995i | 0.0902783 | + | 0.156367i | ||||
\(800\) | −2.27382 | + | 2.40752i | −0.0803918 | + | 0.0851185i | ||||
\(801\) | 18.9775 | 0.670535 | ||||||||
\(802\) | −11.5064 | + | 30.4945i | −0.406305 | + | 1.07680i | ||||
\(803\) | −13.0003 | + | 50.9854i | −0.458770 | + | 1.79924i | ||||
\(804\) | −30.3356 | − | 26.6933i | −1.06985 | − | 0.941402i | ||||
\(805\) | − | 46.0852i | − | 1.62429i | ||||||
\(806\) | −19.9505 | + | 23.6071i | −0.702726 | + | 0.831525i | ||||
\(807\) | 38.9525i | 1.37119i | ||||||||
\(808\) | 23.4596 | + | 0.826812i | 0.825307 | + | 0.0290871i | ||||
\(809\) | 8.10662 | + | 4.68036i | 0.285014 | + | 0.164553i | 0.635691 | − | 0.771944i | \(-0.280715\pi\) |
−0.350677 | + | 0.936496i | \(0.614049\pi\) | |||||||
\(810\) | 11.3364 | − | 30.0439i | 0.398319 | − | 1.05564i | ||||
\(811\) | 10.6171 | 0.372815 | 0.186408 | − | 0.982472i | \(-0.440315\pi\) | ||||
0.186408 | + | 0.982472i | \(0.440315\pi\) | |||||||
\(812\) | 6.06850 | + | 17.9758i | 0.212963 | + | 0.630826i | ||||
\(813\) | −1.54456 | + | 0.891751i | −0.0541700 | + | 0.0312751i | ||||
\(814\) | 12.1729 | − | 17.3993i | 0.426659 | − | 0.609845i | ||||
\(815\) | 10.0642 | − | 5.81055i | 0.352532 | − | 0.203535i | ||||
\(816\) | −13.5704 | + | 10.3411i | −0.475058 | + | 0.362011i | ||||
\(817\) | −0.480231 | + | 0.831785i | −0.0168012 | + | 0.0291005i | ||||
\(818\) | −33.4126 | + | 27.3744i | −1.16824 | + | 0.957122i | ||||
\(819\) | −28.0567 | + | 5.18559i | −0.980381 | + | 0.181199i | ||||
\(820\) | −39.2901 | − | 7.88351i | −1.37207 | − | 0.275304i | ||||
\(821\) | −32.7687 | − | 18.9190i | −1.14363 | − | 0.660278i | −0.196307 | − | 0.980543i | \(-0.562895\pi\) |
−0.947328 | + | 0.320265i | \(0.896228\pi\) | |||||||
\(822\) | −7.37929 | − | 44.9291i | −0.257382 | − | 1.56708i | ||||
\(823\) | −9.47936 | + | 5.47291i | −0.330430 | + | 0.190774i | −0.656032 | − | 0.754733i | \(-0.727766\pi\) |
0.325602 | + | 0.945507i | \(0.394433\pi\) | |||||||
\(824\) | −0.638487 | − | 1.20176i | −0.0222428 | − | 0.0418651i | ||||
\(825\) | −3.34094 | − | 3.26080i | −0.116317 | − | 0.113526i | ||||
\(826\) | −55.4118 | − | 20.9084i | −1.92802 | − | 0.727495i | ||||
\(827\) | −9.29385 | −0.323179 | −0.161589 | − | 0.986858i | \(-0.551662\pi\) | ||||
−0.161589 | + | 0.986858i | \(0.551662\pi\) | |||||||
\(828\) | −12.1963 | − | 36.1273i | −0.423852 | − | 1.25551i | ||||
\(829\) | 3.09454 | − | 5.35989i | 0.107478 | − | 0.186157i | −0.807270 | − | 0.590182i | \(-0.799056\pi\) |
0.914748 | + | 0.404025i | \(0.132389\pi\) | |||||||
\(830\) | 30.3249 | − | 4.98066i | 1.05259 | − | 0.172881i | ||||
\(831\) | 28.9598 | 1.00460 | ||||||||
\(832\) | −28.6627 | + | 3.23253i | −0.993701 | + | 0.112068i | ||||
\(833\) | − | 1.94026i | − | 0.0672259i | ||||||
\(834\) | 2.29013 | + | 13.9435i | 0.0793008 | + | 0.482825i | ||||
\(835\) | −24.7077 | + | 42.7951i | −0.855046 | + | 1.48098i | ||||
\(836\) | −0.448097 | − | 0.655660i | −0.0154978 | − | 0.0226765i | ||||
\(837\) | 3.18418 | 0.110062 | ||||||||
\(838\) | 22.1357 | + | 8.35240i | 0.764666 | + | 0.288529i | ||||
\(839\) | 10.3229 | − | 5.95994i | 0.356387 | − | 0.205760i | −0.311108 | − | 0.950375i | \(-0.600700\pi\) |
0.667495 | + | 0.744615i | \(0.267367\pi\) | |||||||
\(840\) | −21.4543 | − | 40.3811i | −0.740244 | − | 1.39328i | ||||
\(841\) | −8.94085 | − | 15.4860i | −0.308305 | − | 0.534000i | ||||
\(842\) | −18.4299 | + | 3.02699i | −0.635136 | + | 0.104317i | ||||
\(843\) | 21.4994 | − | 37.2381i | 0.740479 | − | 1.28255i | ||||
\(844\) | −9.70179 | + | 48.3521i | −0.333949 | + | 1.66435i | ||||
\(845\) | 4.83637 | − | 30.3405i | 0.166376 | − | 1.04374i | ||||
\(846\) | −8.75455 | + | 7.17245i | −0.300988 | + | 0.246594i | ||||
\(847\) | −0.759685 | − | 31.2853i | −0.0261031 | − | 1.07497i | ||||
\(848\) | 17.4341 | − | 13.2854i | 0.598690 | − | 0.456223i | ||||
\(849\) | −18.5040 | + | 10.6833i | −0.635057 | + | 0.366650i | ||||
\(850\) | 1.13603 | − | 0.930729i | 0.0389655 | − | 0.0319237i | ||||
\(851\) | −26.8735 | + | 15.5155i | −0.921213 | + | 0.531863i | ||||
\(852\) | 6.52827 | − | 2.20390i | 0.223655 | − | 0.0755044i | ||||
\(853\) | 42.1903i | 1.44457i | 0.691596 | + | 0.722284i | \(0.256908\pi\) | ||||
−0.691596 | + | 0.722284i | \(0.743092\pi\) | |||||||
\(854\) | 8.51292 | + | 3.21215i | 0.291306 | + | 0.109918i | ||||
\(855\) | 0.393514 | − | 0.681586i | 0.0134579 | − | 0.0233097i | ||||
\(856\) | 0.281253 | − | 7.98016i | 0.00961302 | − | 0.272756i | ||||
\(857\) | − | 27.4738i | − | 0.938486i | −0.883069 | − | 0.469243i | \(-0.844527\pi\) | ||
0.883069 | − | 0.469243i | \(-0.155473\pi\) | |||||||
\(858\) | −3.89333 | − | 40.4767i | −0.132916 | − | 1.38185i | ||||
\(859\) | − | 16.9290i | − | 0.577611i | −0.957388 | − | 0.288805i | \(-0.906742\pi\) | ||
0.957388 | − | 0.288805i | \(-0.0932580\pi\) | |||||||
\(860\) | −28.4674 | − | 25.0494i | −0.970730 | − | 0.854179i | ||||
\(861\) | 28.9977 | − | 50.2255i | 0.988239 | − | 1.71168i | ||||
\(862\) | −17.9231 | + | 47.5002i | −0.610463 | + | 1.61786i | ||||
\(863\) | 9.39194i | 0.319705i | 0.987141 | + | 0.159853i | \(0.0511019\pi\) | ||||
−0.987141 | + | 0.159853i | \(0.948898\pi\) | |||||||
\(864\) | 2.16034 | + | 2.04038i | 0.0734964 | + | 0.0694151i | ||||
\(865\) | 2.77039 | − | 1.59949i | 0.0941961 | − | 0.0543841i | ||||
\(866\) | −5.85981 | − | 7.15236i | −0.199124 | − | 0.243047i | ||||
\(867\) | −28.8471 | + | 16.6549i | −0.979699 | + | 0.565629i | ||||
\(868\) | 22.7841 | − | 25.8929i | 0.773342 | − | 0.878863i | ||||
\(869\) | 42.2685 | + | 10.7776i | 1.43386 | + | 0.365606i | ||||
\(870\) | −16.9824 | − | 20.7284i | −0.575758 | − | 0.702758i | ||||
\(871\) | 5.50620 | + | 29.7914i | 0.186570 | + | 1.00944i | ||||
\(872\) | −12.2907 | − | 23.1334i | −0.416214 | − | 0.783395i | ||||
\(873\) | 0.819041 | − | 1.41862i | 0.0277203 | − | 0.0480130i | ||||
\(874\) | 0.188087 | + | 1.14518i | 0.00636215 | + | 0.0387361i | ||||
\(875\) | −14.8410 | − | 25.7054i | −0.501718 | − | 0.869001i | ||||
\(876\) | 15.0087 | − | 74.8011i | 0.507099 | − | 2.52730i | ||||
\(877\) | −14.5626 | + | 8.40770i | −0.491743 | + | 0.283908i | −0.725297 | − | 0.688436i | \(-0.758298\pi\) |
0.233554 | + | 0.972344i | \(0.424964\pi\) | |||||||
\(878\) | −9.15194 | + | 24.2547i | −0.308863 | + | 0.818555i | ||||
\(879\) | −57.7821 | −1.94894 | ||||||||
\(880\) | 28.8600 | − | 12.2528i | 0.972870 | − | 0.413043i | ||||
\(881\) | −13.8733 | + | 24.0293i | −0.467404 | + | 0.809567i | −0.999306 | − | 0.0372383i | \(-0.988144\pi\) |
0.531902 | + | 0.846806i | \(0.321477\pi\) | |||||||
\(882\) | 4.24564 | − | 0.697317i | 0.142958 | − | 0.0234799i | ||||
\(883\) | 3.50680i | 0.118013i | 0.998258 | + | 0.0590066i | \(0.0187933\pi\) | ||||
−0.998258 | + | 0.0590066i | \(0.981207\pi\) | |||||||
\(884\) | 12.7905 | + | 0.195153i | 0.430189 | + | 0.00656369i | ||||
\(885\) | 83.6499 | 2.81186 | ||||||||
\(886\) | 3.05876 | + | 18.6233i | 0.102761 | + | 0.625663i | ||||
\(887\) | −24.8404 | + | 43.0248i | −0.834058 | + | 1.44463i | 0.0607365 | + | 0.998154i | \(0.480655\pi\) |
−0.894795 | + | 0.446478i | \(0.852678\pi\) | |||||||
\(888\) | −16.3244 | + | 26.1057i | −0.547810 | + | 0.876049i | ||||
\(889\) | −25.5702 | −0.857596 | ||||||||
\(890\) | 8.05025 | − | 21.3350i | 0.269845 | − | 0.715150i | ||||
\(891\) | −22.2568 | + | 22.8038i | −0.745632 | + | 0.763958i | ||||
\(892\) | 14.3573 | + | 2.88076i | 0.480716 | + | 0.0964551i | ||||
\(893\) | 0.298306 | − | 0.172227i | 0.00998241 | − | 0.00576335i | ||||
\(894\) | −18.8055 | + | 3.08867i | −0.628949 | + | 0.103301i | ||||
\(895\) | 41.6367 | + | 24.0390i | 1.39176 | + | 0.803534i | ||||
\(896\) | 32.0499 | − | 2.96763i | 1.07071 | − | 0.0991417i | ||||
\(897\) | −19.8635 | + | 56.0044i | −0.663223 | + | 1.86993i | ||||
\(898\) | 8.55334 | + | 10.4400i | 0.285429 | + | 0.348388i | ||||
\(899\) | 10.1059 | − | 17.5040i | 0.337052 | − | 0.583791i | ||||
\(900\) | 2.44489 | + | 2.15134i | 0.0814963 | + | 0.0717115i | ||||
\(901\) | −8.41840 | + | 4.86037i | −0.280458 | + | 0.161922i | ||||
\(902\) | 32.5832 | + | 22.7958i | 1.08490 | + | 0.759016i | ||||
\(903\) | 47.5258 | − | 27.4390i | 1.58156 | − | 0.913113i | ||||
\(904\) | −21.8066 | − | 13.6361i | −0.725277 | − | 0.453529i | ||||
\(905\) | −31.2031 | −1.03723 | ||||||||
\(906\) | −27.9124 | − | 10.5321i | −0.927328 | − | 0.349906i | ||||
\(907\) | −11.6095 | − | 6.70273i | −0.385486 | − | 0.222560i | 0.294716 | − | 0.955585i | \(-0.404775\pi\) |
−0.680202 | + | 0.733024i | \(0.738108\pi\) | |||||||
\(908\) | 9.42062 | + | 8.28953i | 0.312634 | + | 0.275098i | ||||
\(909\) | − | 23.0850i | − | 0.765681i | ||||||
\(910\) | −6.07191 | + | 33.7419i | −0.201282 | + | 1.11853i | ||||
\(911\) | 13.4283i | 0.444900i | 0.974944 | + | 0.222450i | \(0.0714054\pi\) | ||||
−0.974944 | + | 0.222450i | \(0.928595\pi\) | |||||||
\(912\) | 0.697928 | + | 0.915874i | 0.0231107 | + | 0.0303276i | ||||
\(913\) | −29.5499 | − | 7.53463i | −0.977958 | − | 0.249360i | ||||
\(914\) | 34.7169 | + | 13.0996i | 1.14833 | + | 0.433297i | ||||
\(915\) | −12.8511 | −0.424846 | ||||||||
\(916\) | −10.3485 | + | 3.49359i | −0.341924 | + | 0.115431i | ||||
\(917\) | 29.0729 | + | 50.3558i | 0.960073 | + | 1.66289i | ||||
\(918\) | −0.835175 | − | 1.01940i | −0.0275649 | − | 0.0336451i | ||||
\(919\) | 14.0213 | + | 24.2857i | 0.462521 | + | 0.801110i | 0.999086 | − | 0.0427490i | \(-0.0136116\pi\) |
−0.536565 | + | 0.843859i | \(0.680278\pi\) | |||||||
\(920\) | −45.7890 | − | 1.61379i | −1.50962 | − | 0.0532050i | ||||
\(921\) | −22.1127 | − | 12.7668i | −0.728637 | − | 0.420679i | ||||
\(922\) | 36.6017 | − | 29.9871i | 1.20541 | − | 0.987573i | ||||
\(923\) | −4.86884 | − | 1.72687i | −0.160260 | − | 0.0568406i | ||||
\(924\) | 3.44157 | + | 45.2450i | 0.113219 | + | 1.48845i | ||||
\(925\) | 1.32514 | − | 2.29522i | 0.0435704 | − | 0.0754662i | ||||
\(926\) | −1.72171 | − | 10.4827i | −0.0565789 | − | 0.344482i | ||||
\(927\) | −1.15898 | + | 0.669138i | −0.0380659 | + | 0.0219774i | ||||
\(928\) | 18.0728 | − | 5.40004i | 0.593268 | − | 0.177265i | ||||
\(929\) | −18.3398 | − | 31.7655i | −0.601710 | − | 1.04219i | −0.992562 | − | 0.121739i | \(-0.961153\pi\) |
0.390852 | − | 0.920454i | \(-0.372180\pi\) | |||||||
\(930\) | −17.1975 | + | 45.5771i | −0.563927 | + | 1.49453i | ||||
\(931\) | −0.130949 | −0.00429168 | ||||||||
\(932\) | −13.2403 | − | 39.2198i | −0.433702 | − | 1.28469i | ||||
\(933\) | −26.1579 | + | 45.3068i | −0.856371 | + | 1.48328i | ||||
\(934\) | 6.76483 | + | 41.1879i | 0.221352 | + | 1.34771i | ||||
\(935\) | −13.3861 | + | 3.76154i | −0.437774 | + | 0.123016i | ||||
\(936\) | 4.16979 | + | 28.0580i | 0.136294 | + | 0.917105i | ||||
\(937\) | − | 11.2157i | − | 0.366401i | −0.983076 | − | 0.183200i | \(-0.941354\pi\) | ||
0.983076 | − | 0.183200i | \(-0.0586457\pi\) | |||||||
\(938\) | −5.47912 | − | 33.3598i | −0.178899 | − | 1.08924i | ||||
\(939\) | 32.3019 | + | 18.6495i | 1.05413 | + | 0.608604i | ||||
\(940\) | 4.34977 | + | 12.8847i | 0.141874 | + | 0.420251i | ||||
\(941\) | − | 36.8892i | − | 1.20255i | −0.799041 | − | 0.601277i | \(-0.794659\pi\) | ||
0.799041 | − | 0.601277i | \(-0.205341\pi\) | |||||||
\(942\) | 63.1887 | + | 23.8428i | 2.05880 | + | 0.776840i | ||||
\(943\) | −29.0553 | − | 50.3253i | −0.946171 | − | 1.63882i | ||||
\(944\) | −22.7144 | + | 54.3236i | −0.739290 | + | 1.76808i | ||||
\(945\) | 3.05875 | − | 1.76597i | 0.0995012 | − | 0.0574471i | ||||
\(946\) | 15.9159 | + | 34.0964i | 0.517469 | + | 1.10857i | ||||
\(947\) | −6.63580 | − | 3.83118i | −0.215635 | − | 0.124497i | 0.388293 | − | 0.921536i | \(-0.373065\pi\) |
−0.603927 | + | 0.797039i | \(0.706398\pi\) | |||||||
\(948\) | −62.0124 | − | 12.4427i | −2.01407 | − | 0.404120i | ||||
\(949\) | −43.5140 | + | 37.1271i | −1.41252 | + | 1.20520i | ||||
\(950\) | −0.0628155 | − | 0.0766714i | −0.00203801 | − | 0.00248755i | ||||
\(951\) | −50.8922 | − | 29.3826i | −1.65029 | − | 0.952797i | ||||
\(952\) | −14.2655 | − | 0.502771i | −0.462346 | − | 0.0162949i | ||||
\(953\) | 30.1089 | − | 17.3834i | 0.975323 | − | 0.563103i | 0.0744683 | − | 0.997223i | \(-0.476274\pi\) |
0.900855 | + | 0.434120i | \(0.142941\pi\) | |||||||
\(954\) | −13.6609 | − | 16.6742i | −0.442288 | − | 0.539848i | ||||
\(955\) | 41.9317 | − | 24.2093i | 1.35688 | − | 0.783393i | ||||
\(956\) | −1.83033 | + | 0.617906i | −0.0591970 | + | 0.0199845i | ||||
\(957\) | 7.19356 | + | 25.5996i | 0.232535 | + | 0.827518i | ||||
\(958\) | 3.86345 | − | 10.2390i | 0.124822 | − | 0.330807i | ||||
\(959\) | 19.0466 | − | 32.9896i | 0.615045 | − | 1.06529i | ||||
\(960\) | −40.8729 | + | 19.9024i | −1.31917 | + | 0.642347i | ||||
\(961\) | −5.74298 | −0.185258 | ||||||||
\(962\) | 21.7200 | − | 7.81914i | 0.700282 | − | 0.252099i | ||||
\(963\) | −7.85272 | −0.253050 | ||||||||
\(964\) | −11.3842 | + | 12.9376i | −0.366660 | + | 0.416691i | ||||
\(965\) | 11.3921 | + | 6.57721i | 0.366723 | + | 0.211728i | ||||
\(966\) | 23.4090 | − | 62.0392i | 0.753173 | − | 1.99608i | ||||
\(967\) | 33.1435 | 1.06582 | 0.532912 | − | 0.846171i | \(-0.321098\pi\) | ||||
0.532912 | + | 0.846171i | \(0.321098\pi\) | |||||||
\(968\) | −31.1108 | − | 0.340730i | −0.999940 | − | 0.0109515i | ||||
\(969\) | −0.255332 | − | 0.442247i | −0.00820243 | − | 0.0142070i | ||||
\(970\) | −1.24741 | − | 1.52257i | −0.0400520 | − | 0.0488867i | ||||
\(971\) | 9.34872 | − | 5.39749i | 0.300015 | − | 0.173214i | −0.342435 | − | 0.939542i | \(-0.611252\pi\) |
0.642450 | + | 0.766328i | \(0.277918\pi\) | |||||||
\(972\) | 28.4396 | − | 32.3201i | 0.912200 | − | 1.03667i | ||||
\(973\) | −5.91101 | + | 10.2382i | −0.189498 | + | 0.328221i | ||||
\(974\) | −4.25931 | + | 3.48958i | −0.136477 | + | 0.111813i | ||||
\(975\) | −0.922396 | − | 4.99064i | −0.0295403 | − | 0.159828i | ||||
\(976\) | 3.48961 | − | 8.34574i | 0.111700 | − | 0.267140i | ||||
\(977\) | −8.44509 | + | 14.6273i | −0.270182 | + | 0.467970i | −0.968908 | − | 0.247420i | \(-0.920417\pi\) |
0.698726 | + | 0.715389i | \(0.253751\pi\) | |||||||
\(978\) | 16.4997 | − | 2.70996i | 0.527602 | − | 0.0866551i | ||||
\(979\) | −15.8052 | + | 16.1936i | −0.505135 | + | 0.517550i | ||||
\(980\) | 1.01706 | − | 5.06886i | 0.0324888 | − | 0.161919i | ||||
\(981\) | −22.3100 | + | 12.8807i | −0.712303 | + | 0.411248i | ||||
\(982\) | −6.78849 | + | 17.9910i | −0.216629 | + | 0.574116i | ||||
\(983\) | − | 47.5419i | − | 1.51635i | −0.652050 | − | 0.758176i | \(-0.726091\pi\) | ||
0.652050 | − | 0.758176i | \(-0.273909\pi\) | |||||||
\(984\) | −48.8873 | − | 30.5701i | −1.55847 | − | 0.974540i | ||||
\(985\) | 23.3636 | + | 13.4890i | 0.744427 | + | 0.429795i | ||||
\(986\) | −8.25446 | + | 1.35574i | −0.262876 | + | 0.0431755i | ||||
\(987\) | −19.6811 | −0.626456 | ||||||||
\(988\) | 0.0131710 | − | 0.863236i | 0.000419025 | − | 0.0274632i | ||||
\(989\) | − | 54.9871i | − | 1.74849i | ||||||
\(990\) | −13.0419 | − | 27.9395i | −0.414497 | − | 0.887975i | ||||
\(991\) | 27.0281 | + | 15.6047i | 0.858576 | + | 0.495699i | 0.863535 | − | 0.504289i | \(-0.168245\pi\) |
−0.00495908 | + | 0.999988i | \(0.501579\pi\) | |||||||
\(992\) | −24.9287 | − | 23.5444i | −0.791486 | − | 0.747534i | ||||
\(993\) | 0.331442 | 0.0105180 | ||||||||
\(994\) | 5.39348 | + | 2.03511i | 0.171071 | + | 0.0645496i | ||||
\(995\) | 2.14000 | − | 1.23553i | 0.0678427 | − | 0.0391690i | ||||
\(996\) | 43.3528 | + | 8.69869i | 1.37369 | + | 0.275629i | ||||
\(997\) | −9.10162 | + | 5.25483i | −0.288251 | + | 0.166422i | −0.637153 | − | 0.770737i | \(-0.719888\pi\) |
0.348902 | + | 0.937159i | \(0.386555\pi\) | |||||||
\(998\) | −0.729171 | − | 4.43958i | −0.0230815 | − | 0.140533i | ||||
\(999\) | −2.05957 | − | 1.18910i | −0.0651620 | − | 0.0376213i |
(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 | 572.2.t.a.87.5 | ✓ | 160 | |
4.3 | odd | 2 | inner | 572.2.t.a.87.30 | yes | 160 | |
11.10 | odd | 2 | inner | 572.2.t.a.87.76 | yes | 160 | |
13.3 | even | 3 | inner | 572.2.t.a.263.51 | yes | 160 | |
44.43 | even | 2 | inner | 572.2.t.a.87.51 | yes | 160 | |
52.3 | odd | 6 | inner | 572.2.t.a.263.76 | yes | 160 | |
143.120 | odd | 6 | inner | 572.2.t.a.263.30 | yes | 160 | |
572.263 | even | 6 | inner | 572.2.t.a.263.5 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.t.a.87.5 | ✓ | 160 | 1.1 | even | 1 | trivial | |
572.2.t.a.87.30 | yes | 160 | 4.3 | odd | 2 | inner | |
572.2.t.a.87.51 | yes | 160 | 44.43 | even | 2 | inner | |
572.2.t.a.87.76 | yes | 160 | 11.10 | odd | 2 | inner | |
572.2.t.a.263.5 | yes | 160 | 572.263 | even | 6 | inner | |
572.2.t.a.263.30 | yes | 160 | 143.120 | odd | 6 | inner | |
572.2.t.a.263.51 | yes | 160 | 13.3 | even | 3 | inner | |
572.2.t.a.263.76 | yes | 160 | 52.3 | odd | 6 | inner |