Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(179,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.o (of order \(6\), degree \(2\), not 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 179.38 | ||
Character | \(\chi\) | \(=\) | 756.179 |
Dual form | 756.2.o.a.359.38 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30585 | − | 0.542910i | 0.923376 | − | 0.383896i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.41050 | − | 1.41792i | 0.705248 | − | 0.708960i | ||||
\(5\) | − | 2.45799i | − | 1.09925i | −0.835413 | − | 0.549623i | \(-0.814771\pi\) | ||
0.835413 | − | 0.549623i | \(-0.185229\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.25199 | − | 1.38871i | 0.851174 | − | 0.524884i | ||||
\(8\) | 1.07210 | − | 2.61737i | 0.379043 | − | 0.925379i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.33447 | − | 3.20977i | −0.421996 | − | 1.01502i | ||||
\(11\) | −3.73252 | −1.12540 | −0.562698 | − | 0.826663i | \(-0.690237\pi\) | ||||
−0.562698 | + | 0.826663i | \(0.690237\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.708051 | + | 1.22638i | −0.196378 | + | 0.340137i | −0.947351 | − | 0.320196i | \(-0.896251\pi\) |
0.750973 | + | 0.660332i | \(0.229585\pi\) | |||||||
\(14\) | 2.18682 | − | 3.03608i | 0.584453 | − | 0.811427i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.0209987 | − | 3.99994i | −0.00524967 | − | 0.999986i | ||||
\(17\) | 3.50791 | + | 2.02529i | 0.850794 | + | 0.491206i | 0.860919 | − | 0.508743i | \(-0.169890\pi\) |
−0.0101248 | + | 0.999949i | \(0.503223\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.98185 | + | 1.14422i | −0.454668 | + | 0.262503i | −0.709800 | − | 0.704404i | \(-0.751215\pi\) |
0.255132 | + | 0.966906i | \(0.417881\pi\) | |||||||
\(20\) | −3.48523 | − | 3.46699i | −0.779322 | − | 0.775241i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.87411 | + | 2.02642i | −1.03916 | + | 0.432035i | ||||
\(23\) | −3.61698 | −0.754192 | −0.377096 | − | 0.926174i | \(-0.623077\pi\) | ||||
−0.377096 | + | 0.926174i | \(0.623077\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.04171 | −0.208342 | ||||||||
\(26\) | −0.258795 | + | 1.98588i | −0.0507539 | + | 0.389463i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.20735 | − | 5.15192i | 0.228167 | − | 0.973622i | ||||
\(29\) | 4.59226 | − | 2.65135i | 0.852762 | − | 0.492342i | −0.00881973 | − | 0.999961i | \(-0.502807\pi\) |
0.861582 | + | 0.507619i | \(0.169474\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.38753 | + | 3.11049i | −0.967629 | + | 0.558661i | −0.898513 | − | 0.438948i | \(-0.855351\pi\) |
−0.0691164 | + | 0.997609i | \(0.522018\pi\) | |||||||
\(32\) | −2.19903 | − | 5.21193i | −0.388738 | − | 0.921348i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.68037 | + | 0.740251i | 0.974175 | + | 0.126952i | ||||
\(35\) | −3.41344 | − | 5.53538i | −0.576976 | − | 0.935650i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.37386 | + | 4.11165i | 0.390261 | + | 0.675952i | 0.992484 | − | 0.122376i | \(-0.0390515\pi\) |
−0.602223 | + | 0.798328i | \(0.705718\pi\) | |||||||
\(38\) | −1.96679 | + | 2.57015i | −0.319056 | + | 0.416934i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.43346 | − | 2.63520i | −1.01722 | − | 0.416661i | ||||
\(41\) | 7.67307 | + | 4.43005i | 1.19833 | + | 0.691857i | 0.960183 | − | 0.279372i | \(-0.0901261\pi\) |
0.238149 | + | 0.971229i | \(0.423459\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.5542 | − | 6.09346i | 1.60950 | − | 0.929244i | 0.620016 | − | 0.784590i | \(-0.287126\pi\) |
0.989482 | − | 0.144654i | \(-0.0462070\pi\) | |||||||
\(44\) | −5.26470 | + | 5.29241i | −0.793683 | + | 0.797861i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.72324 | + | 1.96370i | −0.696403 | + | 0.289531i | ||||
\(47\) | −4.33970 | + | 7.51657i | −0.633010 | + | 1.09640i | 0.353923 | + | 0.935274i | \(0.384847\pi\) |
−0.986933 | + | 0.161130i | \(0.948486\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.14296 | − | 6.25474i | 0.448994 | − | 0.893535i | ||||
\(50\) | −1.36032 | + | 0.565555i | −0.192378 | + | 0.0799816i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.740207 | + | 2.73377i | 0.102648 | + | 0.379105i | ||||
\(53\) | −6.93030 | − | 4.00121i | −0.951950 | − | 0.549609i | −0.0582640 | − | 0.998301i | \(-0.518557\pi\) |
−0.893686 | + | 0.448693i | \(0.851890\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.17448i | 1.23709i | ||||||||
\(56\) | −1.22042 | − | 7.38313i | −0.163085 | − | 0.986612i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.55737 | − | 5.95545i | 0.598412 | − | 0.781989i | ||||
\(59\) | 1.75698 | + | 3.04317i | 0.228739 | + | 0.396187i | 0.957435 | − | 0.288650i | \(-0.0932065\pi\) |
−0.728696 | + | 0.684838i | \(0.759873\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.23289 | − | 9.06363i | 0.670003 | − | 1.16048i | −0.307900 | − | 0.951419i | \(-0.599626\pi\) |
0.977903 | − | 0.209060i | \(-0.0670404\pi\) | |||||||
\(62\) | −5.34660 | + | 6.98679i | −0.679018 | + | 0.887323i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.70122 | − | 5.61213i | −0.712653 | − | 0.701517i | ||||
\(65\) | 3.01443 | + | 1.74038i | 0.373894 | + | 0.215868i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.49365 | − | 5.48116i | 1.15983 | − | 0.669630i | 0.208570 | − | 0.978008i | \(-0.433119\pi\) |
0.951264 | + | 0.308377i | \(0.0997859\pi\) | |||||||
\(68\) | 7.81961 | − | 2.11727i | 0.948266 | − | 0.256757i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.46266 | − | 5.37519i | −0.891958 | − | 0.642458i | ||||
\(71\) | 2.01888 | 0.239597 | 0.119799 | − | 0.992798i | \(-0.461775\pi\) | ||||
0.119799 | + | 0.992798i | \(0.461775\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.474356 | − | 0.821609i | 0.0555192 | − | 0.0961621i | −0.836930 | − | 0.547310i | \(-0.815652\pi\) |
0.892449 | + | 0.451148i | \(0.148985\pi\) | |||||||
\(74\) | 5.33217 | + | 4.08041i | 0.619853 | + | 0.474338i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.17298 | + | 4.42403i | −0.134550 | + | 0.507471i | ||||
\(77\) | −8.40560 | + | 5.18339i | −0.957908 | + | 0.590702i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.49588 | − | 2.01835i | −0.393318 | − | 0.227082i | 0.290279 | − | 0.956942i | \(-0.406252\pi\) |
−0.683597 | + | 0.729860i | \(0.739585\pi\) | |||||||
\(80\) | −9.83182 | + | 0.0516145i | −1.09923 | + | 0.00577068i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.4250 | + | 1.61920i | 1.37211 | + | 0.178810i | ||||
\(83\) | −0.112352 | − | 0.194599i | −0.0123322 | − | 0.0213601i | 0.859793 | − | 0.510642i | \(-0.170592\pi\) |
−0.872126 | + | 0.489282i | \(0.837259\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.97815 | − | 8.62241i | 0.539956 | − | 0.935232i | ||||
\(86\) | 10.4740 | − | 13.6871i | 1.12944 | − | 1.47592i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.00161 | + | 9.76936i | −0.426573 | + | 1.04142i | ||||
\(89\) | −8.55343 | + | 4.93832i | −0.906662 | + | 0.523461i | −0.879356 | − | 0.476166i | \(-0.842026\pi\) |
−0.0273061 | + | 0.999627i | \(0.508693\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.108562 | + | 3.74508i | 0.0113804 | + | 0.392591i | ||||
\(92\) | −5.10174 | + | 5.12859i | −0.531893 | + | 0.534692i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.58617 | + | 12.1716i | −0.163601 | + | 1.25540i | ||||
\(95\) | 2.81249 | + | 4.87137i | 0.288555 | + | 0.499792i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.52412 | + | 11.3001i | 0.662424 | + | 1.14735i | 0.979977 | + | 0.199111i | \(0.0638056\pi\) |
−0.317553 | + | 0.948241i | \(0.602861\pi\) | |||||||
\(98\) | 0.708472 | − | 9.87411i | 0.0715665 | − | 0.997436i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.46933 | + | 1.47706i | −0.146933 | + | 0.147706i | ||||
\(101\) | 5.48128i | 0.545408i | 0.962098 | + | 0.272704i | \(0.0879180\pi\) | ||||
−0.962098 | + | 0.272704i | \(0.912082\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 16.4461i | 1.62048i | 0.586097 | + | 0.810241i | \(0.300664\pi\) | ||||
−0.586097 | + | 0.810241i | \(0.699336\pi\) | |||||||
\(104\) | 2.45079 | + | 3.16803i | 0.240320 | + | 0.310650i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.2222 | − | 1.46246i | −1.09000 | − | 0.142046i | ||||
\(107\) | 4.38000 | + | 7.58638i | 0.423431 | + | 0.733404i | 0.996272 | − | 0.0862625i | \(-0.0274924\pi\) |
−0.572842 | + | 0.819666i | \(0.694159\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.83206 | + | 10.1014i | −0.558610 | + | 0.967541i | 0.439003 | + | 0.898486i | \(0.355332\pi\) |
−0.997613 | + | 0.0690550i | \(0.978002\pi\) | |||||||
\(110\) | 4.98092 | + | 11.9805i | 0.474912 | + | 1.14230i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.60206 | − | 8.97869i | −0.529345 | − | 0.848407i | ||||
\(113\) | 8.35926 | + | 4.82622i | 0.786373 | + | 0.454013i | 0.838684 | − | 0.544618i | \(-0.183325\pi\) |
−0.0523109 | + | 0.998631i | \(0.516659\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.89049i | 0.829043i | ||||||||
\(116\) | 2.71798 | − | 10.2512i | 0.252358 | − | 0.951798i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.94652 | + | 3.02005i | 0.363307 | + | 0.278018i | ||||
\(119\) | 10.7124 | − | 0.310528i | 0.982000 | − | 0.0284661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.93167 | 0.266516 | ||||||||
\(122\) | 1.91264 | − | 14.6767i | 0.173162 | − | 1.32877i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.18866 | + | 12.0264i | −0.286350 | + | 1.08001i | ||||
\(125\) | − | 9.72943i | − | 0.870227i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 0.937979i | − | 0.0832322i | −0.999134 | − | 0.0416161i | \(-0.986749\pi\) | ||
0.999134 | − | 0.0416161i | \(-0.0132506\pi\) | |||||||
\(128\) | −10.4918 | − | 4.23336i | −0.927356 | − | 0.374180i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.88127 | + | 0.636115i | 0.428116 | + | 0.0557910i | ||||
\(131\) | −6.97190 | −0.609138 | −0.304569 | − | 0.952490i | \(-0.598512\pi\) | ||||
−0.304569 | + | 0.952490i | \(0.598512\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.87412 | + | 5.32900i | −0.249218 | + | 0.462083i | ||||
\(134\) | 9.42152 | − | 12.3118i | 0.813895 | − | 1.06358i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.06176 | − | 7.01019i | 0.777039 | − | 0.601119i | ||||
\(137\) | 14.5675i | 1.24459i | 0.782784 | + | 0.622293i | \(0.213799\pi\) | ||||
−0.782784 | + | 0.622293i | \(0.786201\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.2990 | − | 6.52347i | −0.958368 | − | 0.553314i | −0.0626973 | − | 0.998033i | \(-0.519970\pi\) |
−0.895670 | + | 0.444719i | \(0.853304\pi\) | |||||||
\(140\) | −12.6634 | − | 2.96765i | −1.07025 | − | 0.250812i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.63636 | − | 1.09607i | 0.221239 | − | 0.0919804i | ||||
\(143\) | 2.64281 | − | 4.57748i | 0.221003 | − | 0.382788i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.51698 | − | 11.2877i | −0.541205 | − | 0.937395i | ||||
\(146\) | 0.173379 | − | 1.33043i | 0.0143489 | − | 0.110107i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.17833 | + | 2.43352i | 0.754454 | + | 0.200034i | ||||
\(149\) | − | 22.2238i | − | 1.82064i | −0.413902 | − | 0.910321i | \(-0.635834\pi\) | ||
0.413902 | − | 0.910321i | \(-0.364166\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 2.25709i | − | 0.183679i | −0.995774 | − | 0.0918395i | \(-0.970725\pi\) | ||
0.995774 | − | 0.0918395i | \(-0.0292747\pi\) | |||||||
\(152\) | 0.870117 | + | 6.41395i | 0.0705758 | + | 0.520240i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −8.16236 | + | 11.3322i | −0.657741 | + | 0.913177i | ||||
\(155\) | 7.64556 | + | 13.2425i | 0.614106 | + | 1.06366i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.11181 | + | 1.92570i | 0.0887317 | + | 0.153688i | 0.906975 | − | 0.421184i | \(-0.138385\pi\) |
−0.818244 | + | 0.574872i | \(0.805052\pi\) | |||||||
\(158\) | −5.66089 | − | 0.737713i | −0.450356 | − | 0.0586893i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.8109 | + | 5.40520i | −1.01279 | + | 0.427318i | ||||
\(161\) | −8.14542 | + | 5.02294i | −0.641949 | + | 0.395863i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.479974 | + | 0.277113i | −0.0375945 | + | 0.0217052i | −0.518679 | − | 0.854969i | \(-0.673576\pi\) |
0.481085 | + | 0.876674i | \(0.340243\pi\) | |||||||
\(164\) | 17.1043 | − | 4.63123i | 1.33562 | − | 0.361639i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.252365 | − | 0.193121i | −0.0195873 | − | 0.0149891i | ||||
\(167\) | −5.78903 | + | 10.0269i | −0.447968 | + | 0.775904i | −0.998254 | − | 0.0590727i | \(-0.981186\pi\) |
0.550285 | + | 0.834977i | \(0.314519\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.49733 | + | 9.52165i | 0.422871 | + | 0.732435i | ||||
\(170\) | 1.81953 | − | 13.9623i | 0.139552 | − | 1.07086i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.24659 | − | 23.5598i | 0.476298 | − | 1.79642i | ||||
\(173\) | 9.23186 | + | 5.33002i | 0.701886 | + | 0.405234i | 0.808049 | − | 0.589115i | \(-0.200523\pi\) |
−0.106164 | + | 0.994349i | \(0.533857\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.34592 | + | 1.44663i | −0.177335 | + | 0.109355i | ||||
\(176\) | 0.0783779 | + | 14.9299i | 0.00590795 | + | 1.12538i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.48844 | + | 11.0925i | −0.636235 | + | 0.831415i | ||||
\(179\) | −10.5947 | + | 18.3506i | −0.791886 | + | 1.37159i | 0.132911 | + | 0.991128i | \(0.457567\pi\) |
−0.924798 | + | 0.380459i | \(0.875766\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.5889 | −1.23304 | −0.616521 | − | 0.787338i | \(-0.711459\pi\) | ||||
−0.616521 | + | 0.787338i | \(0.711459\pi\) | |||||||
\(182\) | 2.17501 | + | 4.83158i | 0.161222 | + | 0.358141i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.87775 | + | 9.46696i | −0.285871 | + | 0.697914i | ||||
\(185\) | 10.1064 | − | 5.83493i | 0.743037 | − | 0.428993i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.0933 | − | 7.55944i | −0.957480 | − | 0.552801i | ||||
\(188\) | 4.53678 | + | 16.7554i | 0.330879 | + | 1.22202i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.31741 | + | 4.83436i | 0.458313 | + | 0.350721i | ||||
\(191\) | 8.24273 | − | 14.2768i | 0.596423 | − | 1.03303i | −0.396922 | − | 0.917853i | \(-0.629922\pi\) |
0.993344 | − | 0.115182i | \(-0.0367451\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.5854 | − | 20.0665i | −0.833936 | − | 1.44442i | −0.894894 | − | 0.446280i | \(-0.852749\pi\) |
0.0609572 | − | 0.998140i | \(-0.480585\pi\) | |||||||
\(194\) | 14.6545 | + | 11.2142i | 1.05213 | + | 0.805136i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.43560 | − | 13.2788i | −0.316828 | − | 0.948483i | ||||
\(197\) | 14.4116i | 1.02679i | 0.858154 | + | 0.513393i | \(0.171611\pi\) | ||||
−0.858154 | + | 0.513393i | \(0.828389\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.36477 | + | 1.36530i | 0.167634 | + | 0.0967837i | 0.581470 | − | 0.813568i | \(-0.302478\pi\) |
−0.413836 | + | 0.910352i | \(0.635811\pi\) | |||||||
\(200\) | −1.11681 | + | 2.72654i | −0.0789705 | + | 0.192795i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.97585 | + | 7.15774i | 0.209380 | + | 0.503617i | ||||
\(203\) | 6.65980 | − | 12.3481i | 0.467426 | − | 0.866670i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.8890 | − | 18.8603i | 0.760521 | − | 1.31726i | ||||
\(206\) | 8.92876 | + | 21.4762i | 0.622096 | + | 1.49632i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.92032 | + | 2.80641i | 0.341163 | + | 0.194590i | ||||
\(209\) | 7.39729 | − | 4.27083i | 0.511681 | − | 0.295419i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.91848 | − | 4.57174i | −0.545131 | − | 0.314731i | 0.202025 | − | 0.979380i | \(-0.435248\pi\) |
−0.747156 | + | 0.664649i | \(0.768581\pi\) | |||||||
\(212\) | −15.4486 | + | 4.18292i | −1.06101 | + | 0.287284i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.83836 | + | 7.52874i | 0.672536 | + | 0.514654i | ||||
\(215\) | −14.9777 | − | 25.9421i | −1.02147 | − | 1.76923i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.81311 | + | 14.4865i | −0.530389 | + | 0.983410i | ||||
\(218\) | −2.13164 | + | 16.3572i | −0.144373 | + | 1.10785i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.0087 | + | 12.9406i | 0.877046 | + | 0.872453i | ||||
\(221\) | −4.96756 | + | 2.86802i | −0.334154 | + | 0.192924i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.77997 | + | 4.49177i | −0.520985 | + | 0.300791i | −0.737338 | − | 0.675524i | \(-0.763917\pi\) |
0.216352 | + | 0.976315i | \(0.430584\pi\) | |||||||
\(224\) | −12.1901 | − | 8.68342i | −0.814484 | − | 0.580186i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.5362 | + | 1.76400i | 0.900412 | + | 0.117340i | ||||
\(227\) | −10.3688 | −0.688198 | −0.344099 | − | 0.938933i | \(-0.611816\pi\) | ||||
−0.344099 | + | 0.938933i | \(0.611816\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.71000 | −0.245164 | −0.122582 | − | 0.992458i | \(-0.539117\pi\) | ||||
−0.122582 | + | 0.992458i | \(0.539117\pi\) | |||||||
\(230\) | 4.82674 | + | 11.6097i | 0.318266 | + | 0.765519i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.01620 | − | 14.8621i | −0.132370 | − | 0.975747i | ||||
\(233\) | 12.9602 | − | 7.48260i | 0.849054 | − | 0.490201i | −0.0112778 | − | 0.999936i | \(-0.503590\pi\) |
0.860331 | + | 0.509735i | \(0.170257\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.4757 | + | 10.6669i | 1.20522 | + | 0.695833i | ||||
\(236\) | 6.79319 | + | 1.80113i | 0.442199 | + | 0.117244i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 13.8202 | − | 6.22135i | 0.895827 | − | 0.403270i | ||||
\(239\) | 6.84478 | − | 11.8555i | 0.442752 | − | 0.766869i | −0.555141 | − | 0.831756i | \(-0.687336\pi\) |
0.997893 | + | 0.0648877i | \(0.0206689\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.7384 | 0.756135 | 0.378067 | − | 0.925778i | \(-0.376589\pi\) | ||||
0.378067 | + | 0.925778i | \(0.376589\pi\) | |||||||
\(242\) | 3.82833 | − | 1.59164i | 0.246094 | − | 0.102314i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.47054 | − | 20.2040i | −0.350215 | − | 1.29343i | ||||
\(245\) | −15.3741 | − | 7.72536i | −0.982215 | − | 0.493555i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 3.24067i | − | 0.206199i | ||||||
\(248\) | 2.36535 | + | 17.4359i | 0.150200 | + | 1.10718i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.28221 | − | 12.7052i | −0.334076 | − | 0.803547i | ||||
\(251\) | 17.6466 | 1.11384 | 0.556922 | − | 0.830565i | \(-0.311982\pi\) | ||||
0.556922 | + | 0.830565i | \(0.311982\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.5004 | 0.848765 | ||||||||
\(254\) | −0.509239 | − | 1.22486i | −0.0319525 | − | 0.0768547i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.9991 | + | 0.167987i | −0.999945 | + | 0.0104992i | ||||
\(257\) | − | 14.9206i | − | 0.930720i | −0.885121 | − | 0.465360i | \(-0.845925\pi\) | ||
0.885121 | − | 0.465360i | \(-0.154075\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.0558 | + | 5.96281i | 0.686976 | + | 0.370511i | ||||
\(260\) | 6.71956 | − | 1.81942i | 0.416730 | − | 0.112836i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.10426 | + | 3.78512i | −0.562463 | + | 0.233845i | ||||
\(263\) | −0.853210 | −0.0526112 | −0.0263056 | − | 0.999654i | \(-0.508374\pi\) | ||||
−0.0263056 | + | 0.999654i | \(0.508374\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.83493 | + | 17.0346i | −0.604155 | + | 1.04643i | ||||
\(266\) | −0.860007 | + | 8.51928i | −0.0527304 | + | 0.522351i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.61891 | − | 21.1924i | 0.343229 | − | 1.29453i | ||||
\(269\) | 6.98964 | + | 4.03547i | 0.426166 | + | 0.246047i | 0.697712 | − | 0.716378i | \(-0.254202\pi\) |
−0.271546 | + | 0.962425i | \(0.587535\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.5435 | − | 7.81935i | 0.822710 | − | 0.474992i | −0.0286401 | − | 0.999590i | \(-0.509118\pi\) |
0.851350 | + | 0.524598i | \(0.175784\pi\) | |||||||
\(272\) | 8.02740 | − | 14.0740i | 0.486733 | − | 0.853361i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.90885 | + | 19.0230i | 0.477791 | + | 1.14922i | ||||
\(275\) | 3.88820 | 0.234467 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −20.2469 | −1.21652 | −0.608259 | − | 0.793739i | \(-0.708132\pi\) | ||||
−0.608259 | + | 0.793739i | \(0.708132\pi\) | |||||||
\(278\) | −18.2965 | − | 2.38435i | −1.09735 | − | 0.143004i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −18.1476 | + | 2.99977i | −1.08453 | + | 0.179271i | ||||
\(281\) | −5.50545 | + | 3.17857i | −0.328428 | + | 0.189618i | −0.655143 | − | 0.755505i | \(-0.727392\pi\) |
0.326715 | + | 0.945123i | \(0.394058\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.85659 | − | 5.11336i | 0.526470 | − | 0.303958i | −0.213108 | − | 0.977029i | \(-0.568359\pi\) |
0.739578 | + | 0.673071i | \(0.235025\pi\) | |||||||
\(284\) | 2.84763 | − | 2.86262i | 0.168976 | − | 0.169865i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.965956 | − | 7.41232i | 0.0571182 | − | 0.438300i | ||||
\(287\) | 23.4318 | − | 0.679237i | 1.38313 | − | 0.0400941i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.296366 | − | 0.513321i | −0.0174333 | − | 0.0301954i | ||||
\(290\) | −14.6384 | − | 11.2020i | −0.859598 | − | 0.657802i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.495899 | − | 1.83148i | −0.0290203 | − | 0.107179i | ||||
\(293\) | −20.6599 | − | 11.9280i | −1.20696 | − | 0.696840i | −0.244868 | − | 0.969556i | \(-0.578745\pi\) |
−0.962094 | + | 0.272716i | \(0.912078\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.48009 | − | 4.31863i | 0.435507 | − | 0.251440i | ||||
\(296\) | 13.3067 | − | 1.80519i | 0.773437 | − | 0.104925i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.0655 | − | 29.0210i | −0.698937 | − | 1.68114i | ||||
\(299\) | 2.56101 | − | 4.43579i | 0.148107 | − | 0.256528i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.3059 | − | 28.3792i | 0.882217 | − | 1.63575i | ||||
\(302\) | −1.22540 | − | 2.94742i | −0.0705136 | − | 0.169605i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.61844 | + | 7.90327i | 0.264886 | + | 0.453284i | ||||
\(305\) | −22.2783 | − | 12.8624i | −1.27565 | − | 0.736498i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 6.44982i | − | 0.368111i | −0.982916 | − | 0.184055i | \(-0.941077\pi\) | ||
0.982916 | − | 0.184055i | \(-0.0589226\pi\) | |||||||
\(308\) | −4.50644 | + | 19.2296i | −0.256778 | + | 1.09571i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 17.1734 | + | 13.1419i | 0.975386 | + | 0.746408i | ||||
\(311\) | −0.253074 | − | 0.438337i | −0.0143505 | − | 0.0248558i | 0.858761 | − | 0.512376i | \(-0.171235\pi\) |
−0.873111 | + | 0.487521i | \(0.837901\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.6914 | + | 21.9822i | −0.717362 | + | 1.24251i | 0.244679 | + | 0.969604i | \(0.421317\pi\) |
−0.962041 | + | 0.272904i | \(0.912016\pi\) | |||||||
\(314\) | 2.49734 | + | 1.91107i | 0.140933 | + | 0.107848i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.79279 | + | 2.11001i | −0.438379 | + | 0.118697i | ||||
\(317\) | −20.8397 | − | 12.0318i | −1.17048 | − | 0.675774i | −0.216683 | − | 0.976242i | \(-0.569524\pi\) |
−0.953792 | + | 0.300468i | \(0.902857\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.1407 | + | 9.89619i | −0.959695 | + | 0.554080i | ||||
\(320\) | −13.7946 | + | 14.0135i | −0.771140 | + | 0.783381i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.90970 | + | 10.9814i | −0.440790 | + | 0.611972i | ||||
\(323\) | −9.26955 | −0.515772 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.737584 | − | 1.27753i | 0.0409138 | − | 0.0708647i | ||||
\(326\) | −0.476327 | + | 0.622451i | −0.0263813 | + | 0.0344744i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 19.8213 | − | 15.3338i | 1.09445 | − | 0.846668i | ||||
\(329\) | 0.665384 | + | 22.9539i | 0.0366838 | + | 1.26549i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.80713 | − | 3.35275i | −0.319189 | − | 0.184284i | 0.331842 | − | 0.943335i | \(-0.392330\pi\) |
−0.651031 | + | 0.759051i | \(0.725663\pi\) | |||||||
\(332\) | −0.434399 | − | 0.115176i | −0.0238407 | − | 0.00632108i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.11591 | + | 16.2366i | −0.115777 | + | 0.888425i | ||||
\(335\) | −13.4726 | − | 23.3353i | −0.736089 | − | 1.27494i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.3334 | + | 26.5582i | −0.835263 | + | 1.44672i | 0.0585525 | + | 0.998284i | \(0.481351\pi\) |
−0.893816 | + | 0.448434i | \(0.851982\pi\) | |||||||
\(338\) | 12.3481 | + | 9.44931i | 0.671648 | + | 0.513975i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.20423 | − | 19.2205i | −0.282239 | − | 1.04238i | ||||
\(341\) | 20.1090 | − | 11.6100i | 1.08897 | − | 0.628715i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.60811 | − | 18.4503i | −0.0868298 | − | 0.996223i | ||||
\(344\) | −4.63373 | − | 34.1569i | −0.249834 | − | 1.84162i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.9492 | + | 1.94814i | 0.803672 | + | 0.104733i | ||||
\(347\) | −4.51700 | − | 7.82368i | −0.242485 | − | 0.419997i | 0.718936 | − | 0.695076i | \(-0.244629\pi\) |
−0.961422 | + | 0.275079i | \(0.911296\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.9004 | + | 18.8800i | 0.583485 | + | 1.01063i | 0.995062 | + | 0.0992507i | \(0.0316446\pi\) |
−0.411578 | + | 0.911375i | \(0.635022\pi\) | |||||||
\(350\) | −2.27804 | + | 3.16272i | −0.121766 | + | 0.169054i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8.20792 | + | 19.4536i | 0.437484 | + | 1.03688i | ||||
\(353\) | − | 11.9218i | − | 0.634536i | −0.948336 | − | 0.317268i | \(-0.897235\pi\) | ||
0.948336 | − | 0.317268i | \(-0.102765\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 4.96239i | − | 0.263376i | ||||||
\(356\) | −5.06243 | + | 19.0936i | −0.268308 | + | 1.01196i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.87240 | + | 29.7151i | −0.204663 | + | 1.57049i | ||||
\(359\) | 5.13759 | + | 8.89857i | 0.271152 | + | 0.469649i | 0.969157 | − | 0.246444i | \(-0.0792621\pi\) |
−0.698005 | + | 0.716093i | \(0.745929\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.88151 | + | 11.9191i | −0.362185 | + | 0.627322i | ||||
\(362\) | −21.6626 | + | 9.00628i | −1.13856 | + | 0.473360i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.46335 | + | 5.12849i | 0.286358 | + | 0.268806i | ||||
\(365\) | −2.01951 | − | 1.16596i | −0.105706 | − | 0.0610293i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 27.4387i | − | 1.43229i | −0.697951 | − | 0.716145i | \(-0.745905\pi\) | ||
0.697951 | − | 0.716145i | \(-0.254095\pi\) | |||||||
\(368\) | 0.0759517 | + | 14.4677i | 0.00395926 | + | 0.754182i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.0296 | − | 13.1064i | 0.521415 | − | 0.681371i | ||||
\(371\) | −21.1635 | + | 0.613486i | −1.09876 | + | 0.0318506i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.06521 | −0.262266 | −0.131133 | − | 0.991365i | \(-0.541862\pi\) | ||||
−0.131133 | + | 0.991365i | \(0.541862\pi\) | |||||||
\(374\) | −21.2021 | − | 2.76300i | −1.09633 | − | 0.142871i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.0211 | + | 19.4171i | 0.774652 | + | 1.00136i | ||||
\(377\) | 7.50915i | 0.386741i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.02589i | 0.0526966i | 0.999653 | + | 0.0263483i | \(0.00838790\pi\) | ||||
−0.999653 | + | 0.0263483i | \(0.991612\pi\) | |||||||
\(380\) | 10.8742 | + | 2.88317i | 0.557836 | + | 0.147903i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.01274 | − | 23.1185i | 0.154145 | − | 1.18284i | ||||
\(383\) | 25.2687 | 1.29117 | 0.645584 | − | 0.763689i | \(-0.276614\pi\) | ||||
0.645584 | + | 0.763689i | \(0.276614\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.7407 | + | 20.6609i | 0.649327 | + | 1.05298i | ||||
\(386\) | −26.0232 | − | 19.9141i | −1.32454 | − | 1.01360i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 25.2249 | + | 6.68808i | 1.28060 | + | 0.339536i | ||||
\(389\) | − | 9.30821i | − | 0.471945i | −0.971760 | − | 0.235973i | \(-0.924172\pi\) | ||
0.971760 | − | 0.235973i | \(-0.0758276\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.6880 | − | 7.32545i | −0.641662 | − | 0.370464i | ||||
\(392\) | −13.0014 | − | 14.9320i | −0.656670 | − | 0.754178i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.82422 | + | 18.8194i | 0.394178 | + | 0.948109i | ||||
\(395\) | −4.96108 | + | 8.59284i | −0.249619 | + | 0.432353i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.25979 | − | 12.5743i | −0.364358 | − | 0.631087i | 0.624315 | − | 0.781173i | \(-0.285378\pi\) |
−0.988673 | + | 0.150086i | \(0.952045\pi\) | |||||||
\(398\) | 3.82928 | + | 0.499022i | 0.191944 | + | 0.0250137i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.0218745 | + | 4.16678i | 0.00109373 | + | 0.208339i | ||||
\(401\) | 17.9574i | 0.896748i | 0.893846 | + | 0.448374i | \(0.147997\pi\) | ||||
−0.893846 | + | 0.448374i | \(0.852003\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 8.80955i | − | 0.438835i | ||||||
\(404\) | 7.77203 | + | 7.73133i | 0.386673 | + | 0.384648i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.99277 | − | 19.7405i | 0.0988996 | − | 0.979706i | ||||
\(407\) | −8.86048 | − | 15.3468i | −0.439198 | − | 0.760713i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.158417 | + | 0.274386i | 0.00783322 | + | 0.0135675i | 0.869915 | − | 0.493201i | \(-0.164173\pi\) |
−0.862082 | + | 0.506768i | \(0.830840\pi\) | |||||||
\(410\) | 3.97997 | − | 30.5405i | 0.196557 | − | 1.50829i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 23.3193 | + | 23.1972i | 1.14886 | + | 1.14284i | ||||
\(413\) | 8.18279 | + | 4.41327i | 0.402649 | + | 0.217163i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.478323 | + | 0.276160i | −0.0234800 | + | 0.0135562i | ||||
\(416\) | 7.94884 | + | 0.993464i | 0.389724 | + | 0.0487086i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.34109 | − | 9.59314i | 0.359064 | − | 0.469216i | ||||
\(419\) | −8.80022 | + | 15.2424i | −0.429919 | + | 0.744641i | −0.996866 | − | 0.0791133i | \(-0.974791\pi\) |
0.566947 | + | 0.823754i | \(0.308124\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.4743 | − | 19.8741i | −0.559224 | − | 0.968605i | −0.997561 | − | 0.0697943i | \(-0.977766\pi\) |
0.438337 | − | 0.898811i | \(-0.355568\pi\) | |||||||
\(422\) | −12.8224 | − | 1.67099i | −0.624185 | − | 0.0813423i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −17.9026 | + | 13.8495i | −0.869426 | + | 0.672590i | ||||
\(425\) | −3.65423 | − | 2.10977i | −0.177256 | − | 0.102339i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.802333 | − | 27.6782i | −0.0388276 | − | 1.33944i | ||||
\(428\) | 16.9349 | + | 4.49008i | 0.818578 | + | 0.217036i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −33.6428 | − | 25.7450i | −1.62240 | − | 1.24153i | ||||
\(431\) | −11.3929 | + | 19.7331i | −0.548778 | + | 0.950512i | 0.449580 | + | 0.893240i | \(0.351574\pi\) |
−0.998359 | + | 0.0572722i | \(0.981760\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.9567 | −1.24740 | −0.623700 | − | 0.781664i | \(-0.714371\pi\) | ||||
−0.623700 | + | 0.781664i | \(0.714371\pi\) | |||||||
\(434\) | −2.33787 | + | 23.1591i | −0.112221 | + | 1.11167i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.09692 | + | 22.5174i | 0.291989 | + | 1.07839i | ||||
\(437\) | 7.16832 | − | 4.13863i | 0.342907 | − | 0.197977i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.39989 | − | 1.96293i | −0.162268 | − | 0.0936854i | 0.416667 | − | 0.909059i | \(-0.363198\pi\) |
−0.578935 | + | 0.815374i | \(0.696531\pi\) | |||||||
\(440\) | 24.0130 | + | 9.83592i | 1.14477 | + | 0.468909i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.92982 | + | 6.44215i | −0.234488 | + | 0.306422i | ||||
\(443\) | 5.66882 | − | 9.81868i | 0.269334 | − | 0.466500i | −0.699356 | − | 0.714773i | \(-0.746530\pi\) |
0.968690 | + | 0.248274i | \(0.0798632\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.1383 | + | 21.0242i | 0.575413 | + | 0.996644i | ||||
\(446\) | −7.72086 | + | 10.0894i | −0.365593 | + | 0.477747i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.6328 | − | 4.72114i | −0.974806 | − | 0.223053i | ||||
\(449\) | 15.6718i | 0.739600i | 0.929111 | + | 0.369800i | \(0.120574\pi\) | ||||
−0.929111 | + | 0.369800i | \(0.879426\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.6398 | − | 16.5352i | −1.34860 | − | 0.778613i | ||||
\(452\) | 18.6339 | − | 5.04540i | 0.876466 | − | 0.237316i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.5401 | + | 5.62930i | −0.635466 | + | 0.264196i | ||||
\(455\) | 9.20537 | − | 0.266844i | 0.431554 | − | 0.0125098i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.74272 | − | 15.1428i | 0.408967 | − | 0.708352i | −0.585807 | − | 0.810451i | \(-0.699222\pi\) |
0.994774 | + | 0.102099i | \(0.0325557\pi\) | |||||||
\(458\) | −4.84471 | + | 2.01420i | −0.226379 | + | 0.0941174i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.6060 | + | 12.5400i | 0.587759 | + | 0.584681i | ||||
\(461\) | −2.17782 | + | 1.25736i | −0.101431 | + | 0.0585613i | −0.549857 | − | 0.835259i | \(-0.685318\pi\) |
0.448426 | + | 0.893820i | \(0.351985\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.3322 | − | 8.85204i | −0.712547 | − | 0.411389i | 0.0994566 | − | 0.995042i | \(-0.468290\pi\) |
−0.812003 | + | 0.583653i | \(0.801623\pi\) | |||||||
\(464\) | −10.7017 | − | 18.3131i | −0.496812 | − | 0.850166i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.8618 | − | 16.8074i | 0.595810 | − | 0.778588i | ||||
\(467\) | −11.9222 | − | 20.6498i | −0.551693 | − | 0.955560i | −0.998153 | − | 0.0607566i | \(-0.980649\pi\) |
0.446460 | − | 0.894804i | \(-0.352685\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.7679 | − | 25.5275i | 0.635742 | − | 1.17875i | ||||
\(470\) | 29.9176 | + | 3.89879i | 1.38000 | + | 0.179838i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.84875 | − | 1.33608i | 0.453325 | − | 0.0614982i | ||||
\(473\) | −39.3937 | + | 22.7439i | −1.81132 | + | 1.04577i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.06451 | − | 1.19195i | 0.0947264 | − | 0.0546903i | ||||
\(476\) | 14.6694 | − | 15.6273i | 0.672372 | − | 0.716274i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.50179 | − | 19.1976i | 0.114429 | − | 0.878079i | ||||
\(479\) | −1.78481 | −0.0815499 | −0.0407750 | − | 0.999168i | \(-0.512983\pi\) | ||||
−0.0407750 | + | 0.999168i | \(0.512983\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.72327 | −0.306555 | ||||||||
\(482\) | 15.3286 | − | 6.37288i | 0.698197 | − | 0.290277i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.13511 | − | 4.15688i | 0.187960 | − | 0.188949i | ||||
\(485\) | 27.7755 | − | 16.0362i | 1.26122 | − | 0.728167i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.2958 | + | 8.25366i | 0.647803 | + | 0.374009i | 0.787614 | − | 0.616169i | \(-0.211316\pi\) |
−0.139811 | + | 0.990178i | \(0.544649\pi\) | |||||||
\(488\) | −18.1127 | − | 23.4135i | −0.819923 | − | 1.05988i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −24.2705 | − | 1.74142i | −1.09643 | − | 0.0786692i | ||||
\(491\) | 16.6450 | − | 28.8300i | 0.751179 | − | 1.30108i | −0.196072 | − | 0.980589i | \(-0.562819\pi\) |
0.947252 | − | 0.320491i | \(-0.103848\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 21.4790 | 0.967366 | ||||||||
\(494\) | −1.75939 | − | 4.23184i | −0.0791589 | − | 0.190399i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.5549 | + | 21.4845i | 0.563733 | + | 0.964683i | ||||
\(497\) | 4.54651 | − | 2.80365i | 0.203939 | − | 0.125761i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.9415i | 1.25083i | 0.780291 | + | 0.625417i | \(0.215071\pi\) | ||||
−0.780291 | + | 0.625417i | \(0.784929\pi\) | |||||||
\(500\) | −13.7956 | − | 13.7233i | −0.616956 | − | 0.613726i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 23.0438 | − | 9.58052i | 1.02850 | − | 0.427600i | ||||
\(503\) | 1.00731 | 0.0449138 | 0.0224569 | − | 0.999748i | \(-0.492851\pi\) | ||||
0.0224569 | + | 0.999748i | \(0.492851\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.4729 | 0.599538 | ||||||||
\(506\) | 17.6296 | − | 7.32952i | 0.783729 | − | 0.325837i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.32998 | − | 1.32302i | −0.0590083 | − | 0.0586994i | ||||
\(509\) | 5.35143i | 0.237198i | 0.992942 | + | 0.118599i | \(0.0378403\pi\) | ||||
−0.992942 | + | 0.118599i | \(0.962160\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.0727307 | − | 2.50900i | −0.00321742 | − | 0.110992i | ||||
\(512\) | −20.8013 | + | 8.90545i | −0.919295 | + | 0.393569i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.10054 | − | 19.4841i | −0.357299 | − | 0.859405i | ||||
\(515\) | 40.4243 | 1.78131 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.1980 | − | 28.0557i | 0.712386 | − | 1.23389i | ||||
\(518\) | 17.6745 | + | 1.78422i | 0.776575 | + | 0.0783939i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.78697 | − | 6.02401i | 0.341481 | − | 0.264170i | ||||
\(521\) | 0.0326842 | + | 0.0188702i | 0.00143192 | + | 0.000826719i | 0.500716 | − | 0.865612i | \(-0.333070\pi\) |
−0.499284 | + | 0.866438i | \(0.666404\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.6882 | + | 13.0990i | −0.992086 | + | 0.572781i | −0.905897 | − | 0.423498i | \(-0.860802\pi\) |
−0.0861890 | + | 0.996279i | \(0.527469\pi\) | |||||||
\(524\) | −9.83384 | + | 9.88560i | −0.429593 | + | 0.431854i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.11417 | + | 0.463217i | −0.0485799 | + | 0.0201972i | ||||
\(527\) | −25.1986 | −1.09767 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.91746 | −0.431194 | ||||||||
\(530\) | −3.59470 | + | 27.5842i | −0.156144 | + | 1.19818i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.50216 | + | 11.5918i | 0.151838 | + | 0.502569i | ||||
\(533\) | −10.8658 | + | 6.27340i | −0.470652 | + | 0.271731i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.6473 | − | 10.7660i | 0.806191 | − | 0.465455i | ||||
\(536\) | −4.16812 | − | 30.7247i | −0.180035 | − | 1.32710i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.3183 | + | 1.47498i | 0.487968 | + | 0.0635908i | ||||
\(539\) | −11.7311 | + | 23.3459i | −0.505296 | + | 1.00558i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.71877 | + | 6.44110i | 0.159882 | + | 0.276925i | 0.934826 | − | 0.355106i | \(-0.115555\pi\) |
−0.774944 | + | 0.632030i | \(0.782222\pi\) | |||||||
\(542\) | 13.4406 | − | 17.5638i | 0.577324 | − | 0.754431i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.84168 | − | 22.7367i | 0.121836 | − | 0.974828i | ||||
\(545\) | 24.8292 | + | 14.3351i | 1.06357 | + | 0.614050i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.62692 | + | 0.939303i | −0.0695621 | + | 0.0401617i | −0.534378 | − | 0.845246i | \(-0.679454\pi\) |
0.464816 | + | 0.885408i | \(0.346121\pi\) | |||||||
\(548\) | 20.6556 | + | 20.5474i | 0.882362 | + | 0.877742i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.07741 | − | 2.11094i | 0.216501 | − | 0.0900109i | ||||
\(551\) | −6.06746 | + | 10.5091i | −0.258482 | + | 0.447705i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.6756 | + | 0.309464i | −0.453973 | + | 0.0131597i | ||||
\(554\) | −26.4394 | + | 10.9922i | −1.12330 | + | 0.467016i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −25.1870 | + | 6.81973i | −1.06816 | + | 0.289221i | ||||
\(557\) | −8.36838 | − | 4.83149i | −0.354580 | − | 0.204717i | 0.312121 | − | 0.950042i | \(-0.398961\pi\) |
−0.666700 | + | 0.745326i | \(0.732294\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.2579i | 0.729932i | ||||||||
\(560\) | −22.0695 | + | 13.7698i | −0.932608 | + | 0.581880i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.46362 | + | 7.13971i | −0.230469 | + | 0.301171i | ||||
\(563\) | −7.44672 | − | 12.8981i | −0.313842 | − | 0.543590i | 0.665349 | − | 0.746533i | \(-0.268283\pi\) |
−0.979191 | + | 0.202943i | \(0.934949\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.8628 | − | 20.5470i | 0.499072 | − | 0.864418i | ||||
\(566\) | 8.78930 | − | 11.4856i | 0.369442 | − | 0.482777i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.16444 | − | 5.28416i | 0.0908177 | − | 0.221718i | ||||
\(569\) | −3.30697 | − | 1.90928i | −0.138635 | − | 0.0800412i | 0.429078 | − | 0.903267i | \(-0.358839\pi\) |
−0.567714 | + | 0.823226i | \(0.692172\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.92146 | − | 2.26406i | 0.164108 | − | 0.0947478i | −0.415697 | − | 0.909503i | \(-0.636462\pi\) |
0.579805 | + | 0.814756i | \(0.303129\pi\) | |||||||
\(572\) | −2.76283 | − | 10.2038i | −0.115520 | − | 0.426643i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 30.2296 | − | 13.6083i | 1.26176 | − | 0.568001i | ||||
\(575\) | 3.76784 | 0.157130 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.9152 | − | 20.6378i | 0.496038 | − | 0.859162i | −0.503952 | − | 0.863732i | \(-0.668121\pi\) |
0.999990 | + | 0.00456937i | \(0.00145448\pi\) | |||||||
\(578\) | −0.665698 | − | 0.509421i | −0.0276894 | − | 0.0211891i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −25.1973 | − | 6.68076i | −1.04626 | − | 0.277403i | ||||
\(581\) | −0.523259 | − | 0.282212i | −0.0217084 | − | 0.0117081i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.8675 | + | 14.9346i | 1.07132 | + | 0.618527i | ||||
\(584\) | −1.64190 | − | 2.12241i | −0.0679422 | − | 0.0878259i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −33.4545 | − | 4.35971i | −1.38199 | − | 0.180098i | ||||
\(587\) | 8.04599 | + | 13.9361i | 0.332094 | + | 0.575203i | 0.982922 | − | 0.184022i | \(-0.0589117\pi\) |
−0.650829 | + | 0.759225i | \(0.725578\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.11819 | − | 12.3291i | 0.293300 | − | 0.508010i | ||||
\(590\) | 7.42325 | − | 9.70051i | 0.305610 | − | 0.399364i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 16.3965 | − | 9.58166i | 0.673894 | − | 0.393804i | ||||
\(593\) | 21.5747 | − | 12.4561i | 0.885966 | − | 0.511513i | 0.0133450 | − | 0.999911i | \(-0.495752\pi\) |
0.872621 | + | 0.488398i | \(0.162419\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.763275 | − | 26.3308i | −0.0312912 | − | 1.07946i | ||||
\(596\) | −31.5116 | − | 31.3466i | −1.29076 | − | 1.28401i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.936056 | − | 7.18288i | 0.0382782 | − | 0.293730i | ||||
\(599\) | 5.20340 | + | 9.01255i | 0.212605 | + | 0.368243i | 0.952529 | − | 0.304448i | \(-0.0984719\pi\) |
−0.739924 | + | 0.672691i | \(0.765139\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.7275 | − | 34.1690i | −0.804701 | − | 1.39378i | −0.916493 | − | 0.400052i | \(-0.868992\pi\) |
0.111791 | − | 0.993732i | \(-0.464341\pi\) | |||||||
\(602\) | 4.57989 | − | 45.3687i | 0.186663 | − | 1.84909i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.20037 | − | 3.18361i | −0.130221 | − | 0.129539i | ||||
\(605\) | − | 7.20602i | − | 0.292966i | ||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.3456i | 0.419914i | 0.977711 | + | 0.209957i | \(0.0673323\pi\) | ||||
−0.977711 | + | 0.209957i | \(0.932668\pi\) | |||||||
\(608\) | 10.3218 | + | 7.81310i | 0.418603 | + | 0.316863i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −36.0753 | − | 4.70124i | −1.46064 | − | 0.190348i | ||||
\(611\) | −6.14545 | − | 10.6442i | −0.248618 | − | 0.430620i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −18.1531 | + | 31.4421i | −0.733196 | + | 1.26993i | 0.222314 | + | 0.974975i | \(0.428639\pi\) |
−0.955510 | + | 0.294958i | \(0.904694\pi\) | |||||||
\(614\) | −3.50168 | − | 8.42251i | −0.141316 | − | 0.339905i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.55522 | + | 27.5576i | 0.183535 | + | 1.11033i | ||||
\(617\) | 5.74103 | + | 3.31459i | 0.231125 | + | 0.133440i | 0.611091 | − | 0.791560i | \(-0.290731\pi\) |
−0.379966 | + | 0.925001i | \(0.624064\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 38.3693i | 1.54219i | 0.636717 | + | 0.771097i | \(0.280292\pi\) | ||||
−0.636717 | + | 0.771097i | \(0.719708\pi\) | |||||||
\(620\) | 29.5608 | + | 7.83770i | 1.18719 | + | 0.314769i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.568455 | − | 0.435007i | −0.0227930 | − | 0.0174422i | ||||
\(623\) | −12.4044 | + | 22.9993i | −0.496970 | + | 0.921449i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −29.1234 | −1.16494 | ||||||||
\(626\) | −4.63876 | + | 35.5958i | −0.185402 | + | 1.42270i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.29869 | + | 1.13975i | 0.171537 | + | 0.0454808i | ||||
\(629\) | 19.2311i | 0.766794i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.9683i | 0.993973i | 0.867758 | + | 0.496986i | \(0.165560\pi\) | ||||
−0.867758 | + | 0.496986i | \(0.834440\pi\) | |||||||
\(632\) | −9.03068 | + | 6.98615i | −0.359221 | + | 0.277894i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −33.7458 | − | 4.39767i | −1.34022 | − | 0.174654i | ||||
\(635\) | −2.30554 | −0.0914927 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.44532 | + | 8.28314i | 0.215751 | + | 0.328190i | ||||
\(638\) | −17.0105 | + | 22.2288i | −0.673451 | + | 0.880047i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −10.4056 | + | 25.7888i | −0.411316 | + | 1.01939i | ||||
\(641\) | − | 7.58006i | − | 0.299394i | −0.988732 | − | 0.149697i | \(-0.952170\pi\) | ||
0.988732 | − | 0.149697i | \(-0.0478299\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.8134 | + | 17.2128i | 1.17573 | + | 0.678806i | 0.955022 | − | 0.296535i | \(-0.0958310\pi\) |
0.220705 | + | 0.975341i | \(0.429164\pi\) | |||||||
\(644\) | −4.36695 | + | 18.6344i | −0.172082 | + | 0.734298i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.1047 | + | 5.03254i | −0.476251 | + | 0.198002i | ||||
\(647\) | 18.3282 | − | 31.7454i | 0.720557 | − | 1.24804i | −0.240220 | − | 0.970719i | \(-0.577220\pi\) |
0.960777 | − | 0.277323i | \(-0.0894472\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.55794 | − | 11.3587i | −0.257422 | − | 0.445868i | ||||
\(650\) | 0.269589 | − | 2.06871i | 0.0105742 | − | 0.0811414i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.284077 | + | 1.07143i | −0.0111253 | + | 0.0419605i | ||||
\(653\) | − | 14.7474i | − | 0.577110i | −0.957463 | − | 0.288555i | \(-0.906825\pi\) | ||
0.957463 | − | 0.288555i | \(-0.0931748\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 17.1368i | 0.669592i | ||||||||
\(656\) | 17.5588 | − | 30.7849i | 0.685557 | − | 1.20195i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 13.3308 | + | 29.6131i | 0.519688 | + | 1.15444i | ||||
\(659\) | 14.0724 | + | 24.3742i | 0.548184 | + | 0.949483i | 0.998399 | + | 0.0565626i | \(0.0180141\pi\) |
−0.450215 | + | 0.892920i | \(0.648653\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.520581 | − | 0.901673i | −0.0202483 | − | 0.0350710i | 0.855724 | − | 0.517433i | \(-0.173112\pi\) |
−0.875972 | + | 0.482362i | \(0.839779\pi\) | |||||||
\(662\) | −9.40349 | − | 1.22544i | −0.365477 | − | 0.0476281i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.629790 | + | 0.0854374i | −0.0244406 | + | 0.00331562i | ||||
\(665\) | 13.0986 | + | 7.06456i | 0.507943 | + | 0.273952i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.6101 | + | 9.58986i | −0.643147 | + | 0.371321i | ||||
\(668\) | 6.05193 | + | 22.3513i | 0.234156 | + | 0.864797i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −30.2622 | − | 23.1580i | −1.16913 | − | 0.894671i | ||||
\(671\) | −19.5318 | + | 33.8301i | −0.754018 | + | 1.30600i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.14987 | + | 10.6519i | 0.237060 | + | 0.410600i | 0.959869 | − | 0.280448i | \(-0.0904829\pi\) |
−0.722809 | + | 0.691047i | \(0.757150\pi\) | |||||||
\(674\) | −5.60441 | + | 43.0058i | −0.215874 | + | 1.65652i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.2549 | + | 5.63548i | 0.817496 | + | 0.216749i | ||||
\(677\) | −8.08976 | − | 4.67062i | −0.310915 | − | 0.179507i | 0.336421 | − | 0.941712i | \(-0.390783\pi\) |
−0.647336 | + | 0.762205i | \(0.724117\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 30.3849 | + | 16.3877i | 1.16606 | + | 0.628900i | ||||
\(680\) | −17.2310 | − | 22.2737i | −0.660777 | − | 0.854157i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 19.9563 | − | 26.0783i | 0.764165 | − | 0.998589i | ||||
\(683\) | 10.8870 | − | 18.8568i | 0.416578 | − | 0.721535i | −0.579014 | − | 0.815317i | \(-0.696563\pi\) |
0.995593 | + | 0.0937826i | \(0.0298959\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 35.8068 | 1.36811 | ||||||||
\(686\) | −12.1168 | − | 23.2203i | −0.462622 | − | 0.886555i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −24.5951 | − | 42.0882i | −0.937680 | − | 1.60460i | ||||
\(689\) | 9.81401 | − | 5.66612i | 0.373884 | − | 0.215862i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.1790 | − | 12.2277i | −0.805689 | − | 0.465165i | 0.0397677 | − | 0.999209i | \(-0.487338\pi\) |
−0.845456 | + | 0.534044i | \(0.820672\pi\) | |||||||
\(692\) | 20.5791 | − | 5.57208i | 0.782298 | − | 0.211819i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.1461 | − | 7.76423i | −0.385140 | − | 0.294726i | ||||
\(695\) | −16.0346 | + | 27.7728i | −0.608228 | + | 1.05348i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 17.9443 | + | 31.0804i | 0.679689 | + | 1.17726i | ||||
\(698\) | 24.4845 | + | 18.7366i | 0.926751 | + | 0.709190i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.25771 | + | 5.36681i | −0.0475368 | + | 0.202846i | ||||
\(701\) | − | 10.4921i | − | 0.396279i | −0.980174 | − | 0.198140i | \(-0.936510\pi\) | ||
0.980174 | − | 0.198140i | \(-0.0634900\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.40929 | − | 5.43246i | −0.354878 | − | 0.204889i | ||||
\(704\) | 21.2799 | + | 20.9474i | 0.802017 | + | 0.789484i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.47249 | − | 15.5682i | −0.243596 | − | 0.585915i | ||||
\(707\) | 7.61192 | + | 12.3438i | 0.286276 | + | 0.464237i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.34723 | + | 5.79758i | −0.125708 | + | 0.217733i | −0.922009 | − | 0.387167i | \(-0.873454\pi\) |
0.796301 | + | 0.604900i | \(0.206787\pi\) | |||||||
\(710\) | −2.69413 | − | 6.48015i | −0.101109 | − | 0.243196i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.75532 | + | 27.6818i | 0.140737 | + | 1.03742i | ||||
\(713\) | 19.4866 | − | 11.2506i | 0.729778 | − | 0.421338i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.2514 | − | 6.49600i | −0.420779 | − | 0.242937i | ||||
\(716\) | 11.0759 | + | 40.9059i | 0.413925 | + | 1.52873i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 11.5401 | + | 8.83096i | 0.430671 | + | 0.329569i | ||||
\(719\) | 8.66863 | + | 15.0145i | 0.323285 | + | 0.559947i | 0.981164 | − | 0.193177i | \(-0.0618793\pi\) |
−0.657879 | + | 0.753124i | \(0.728546\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.8389 | + | 37.0365i | 0.850565 | + | 1.37931i | ||||
\(722\) | −2.51521 | + | 19.3006i | −0.0936065 | + | 0.718296i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −23.3986 | + | 23.5217i | −0.869601 | + | 0.874178i | ||||
\(725\) | −4.78381 | + | 2.76193i | −0.177666 | + | 0.102576i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.0236 | − | 10.4059i | 0.668458 | − | 0.385934i | −0.127034 | − | 0.991898i | \(-0.540546\pi\) |
0.795492 | + | 0.605964i | \(0.207213\pi\) | |||||||
\(728\) | 9.91864 | + | 3.73094i | 0.367609 | + | 0.138278i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.27019 | − | 0.426163i | −0.121035 | − | 0.0157730i | ||||
\(731\) | 49.3642 | 1.82580 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.69574 | 0.0626336 | 0.0313168 | − | 0.999510i | \(-0.490030\pi\) | ||||
0.0313168 | + | 0.999510i | \(0.490030\pi\) | |||||||
\(734\) | −14.8968 | − | 35.8309i | −0.549850 | − | 1.32254i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.95386 | + | 18.8515i | 0.293183 | + | 0.694874i | ||||
\(737\) | −35.4352 | + | 20.4585i | −1.30527 | + | 0.753599i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 42.4863 | + | 24.5295i | 1.56288 | + | 0.902331i | 0.996963 | + | 0.0778716i | \(0.0248124\pi\) |
0.565920 | + | 0.824460i | \(0.308521\pi\) | |||||||
\(740\) | 5.98157 | − | 22.5602i | 0.219887 | − | 0.829330i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −27.3034 | + | 12.2910i | −1.00234 | + | 0.451218i | ||||
\(743\) | −13.4749 | + | 23.3392i | −0.494346 | + | 0.856232i | −0.999979 | − | 0.00651646i | \(-0.997926\pi\) |
0.505633 | + | 0.862749i | \(0.331259\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −54.6258 | −2.00133 | ||||||||
\(746\) | −6.61441 | + | 2.74995i | −0.242171 | + | 0.100683i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −29.1868 | + | 7.90275i | −1.06718 | + | 0.288953i | ||||
\(749\) | 20.3990 | + | 11.0019i | 0.745365 | + | 0.402002i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 33.6139i | − | 1.22659i | −0.789855 | − | 0.613294i | \(-0.789844\pi\) | ||
0.789855 | − | 0.613294i | \(-0.210156\pi\) | |||||||
\(752\) | 30.1570 | + | 17.2007i | 1.09971 | + | 0.627245i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.07680 | + | 9.80584i | 0.148468 | + | 0.357107i | ||||
\(755\) | −5.54789 | −0.201908 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.1721 | 1.09662 | 0.548312 | − | 0.836274i | \(-0.315271\pi\) | ||||
0.548312 | + | 0.836274i | \(0.315271\pi\) | |||||||
\(758\) | 0.556968 | + | 1.33967i | 0.0202300 | + | 0.0486588i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 15.7654 | − | 2.13874i | 0.571872 | − | 0.0775802i | ||||
\(761\) | 15.9088i | 0.576694i | 0.957526 | + | 0.288347i | \(0.0931056\pi\) | ||||
−0.957526 | + | 0.288347i | \(0.906894\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.894201 | + | 30.8474i | 0.0323722 | + | 1.11675i | ||||
\(764\) | −8.61706 | − | 31.8249i | −0.311754 | − | 1.15139i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 32.9971 | − | 13.7186i | 1.19223 | − | 0.495674i | ||||
\(767\) | −4.97612 | −0.179677 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.11592 | + | 3.66489i | −0.0763022 | + | 0.132159i | −0.901652 | − | 0.432463i | \(-0.857645\pi\) |
0.825350 | + | 0.564622i | \(0.190978\pi\) | |||||||
\(770\) | 27.8545 | + | 20.0630i | 1.00381 | + | 0.723020i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −44.7939 | − | 11.8766i | −1.61217 | − | 0.427447i | ||||
\(773\) | −24.1708 | − | 13.9550i | −0.869362 | − | 0.501927i | −0.00222598 | − | 0.999998i | \(-0.500709\pi\) |
−0.867136 | + | 0.498071i | \(0.834042\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.61224 | − | 3.24023i | 0.201598 | − | 0.116392i | ||||
\(776\) | 36.5710 | − | 4.96123i | 1.31282 | − | 0.178098i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.05353 | − | 12.1551i | −0.181178 | − | 0.435783i | ||||
\(779\) | −20.2758 | −0.726457 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.53551 | −0.269642 | ||||||||
\(782\) | −20.5458 | − | 2.67747i | −0.734715 | − | 0.0957463i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −25.0846 | − | 12.4403i | −0.895879 | − | 0.444297i | ||||
\(785\) | 4.73336 | − | 2.73281i | 0.168941 | − | 0.0975380i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.59132 | + | 3.22815i | −0.199309 | + | 0.115071i | −0.596333 | − | 0.802737i | \(-0.703376\pi\) |
0.397024 | + | 0.917808i | \(0.370043\pi\) | |||||||
\(788\) | 20.4345 | + | 20.3275i | 0.727950 | + | 0.724138i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.81329 | + | 13.9144i | −0.0645140 | + | 0.495052i | ||||
\(791\) | 25.5272 | − | 0.739981i | 0.907644 | − | 0.0263107i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.41030 | + | 12.8350i | 0.263148 | + | 0.455785i | ||||
\(794\) | −16.3069 | − | 12.4788i | −0.578712 | − | 0.442856i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.27139 | − | 1.42731i | 0.186840 | − | 0.0505895i | ||||
\(797\) | −29.3156 | − | 16.9254i | −1.03841 | − | 0.599528i | −0.119029 | − | 0.992891i | \(-0.537978\pi\) |
−0.919383 | + | 0.393363i | \(0.871312\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −30.4465 | + | 17.5783i | −1.07712 | + | 0.621876i | ||||
\(800\) | 2.29075 | + | 5.42932i | 0.0809904 | + | 0.191956i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.74924 | + | 23.4497i | 0.344258 | + | 0.828036i | ||||
\(803\) | −1.77054 | + | 3.06667i | −0.0624811 | + | 0.108220i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.3463 | + | 20.0213i | 0.435151 | + | 0.705660i | ||||
\(806\) | −4.78280 | − | 11.5040i | −0.168467 | − | 0.405210i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.3465 | + | 5.87646i | 0.504709 | + | 0.206733i | ||||
\(809\) | 6.11435 | + | 3.53012i | 0.214969 | + | 0.124112i | 0.603619 | − | 0.797273i | \(-0.293725\pi\) |
−0.388650 | + | 0.921386i | \(0.627058\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 40.7979i | 1.43261i | 0.697789 | + | 0.716304i | \(0.254167\pi\) | ||||
−0.697789 | + | 0.716304i | \(0.745833\pi\) | |||||||
\(812\) | −8.11507 | − | 26.8601i | −0.284783 | − | 0.942604i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.9024 | − | 15.2302i | −0.697579 | − | 0.533818i | ||||
\(815\) | 0.681141 | + | 1.17977i | 0.0238593 | + | 0.0413256i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.9446 | + | 24.1527i | −0.487858 | + | 0.844995i | ||||
\(818\) | 0.355836 | + | 0.272302i | 0.0124415 | + | 0.00952081i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.3835 | − | 42.0422i | −0.397530 | − | 1.46818i | ||||
\(821\) | 32.0732 | + | 18.5175i | 1.11936 | + | 0.646265i | 0.941238 | − | 0.337743i | \(-0.109663\pi\) |
0.178125 | + | 0.984008i | \(0.442997\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.2150 | + | 5.89764i | −0.356073 | + | 0.205579i | −0.667357 | − | 0.744738i | \(-0.732574\pi\) |
0.311284 | + | 0.950317i | \(0.399241\pi\) | |||||||
\(824\) | 43.0455 | + | 17.6318i | 1.49956 | + | 0.614232i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.0815 | + | 1.32056i | 0.455164 | + | 0.0459481i | ||||
\(827\) | −9.85297 | −0.342621 | −0.171311 | − | 0.985217i | \(-0.554800\pi\) | ||||
−0.171311 | + | 0.985217i | \(0.554800\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.91019 | + | 11.9688i | −0.240001 | + | 0.415693i | −0.960714 | − | 0.277540i | \(-0.910481\pi\) |
0.720713 | + | 0.693233i | \(0.243814\pi\) | |||||||
\(830\) | −0.474689 | + | 0.620311i | −0.0164767 | + | 0.0215313i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 10.9194 | − | 3.01819i | 0.378561 | − | 0.104637i | ||||
\(833\) | 23.6929 | − | 15.5757i | 0.820911 | − | 0.539665i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.6460 | + | 14.2294i | 0.852909 | + | 0.492428i | ||||
\(836\) | 4.37816 | − | 16.5128i | 0.151422 | − | 0.571106i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.21651 | + | 24.6821i | −0.111112 | + | 0.852628i | ||||
\(839\) | −21.5036 | − | 37.2454i | −0.742388 | − | 1.28585i | −0.951405 | − | 0.307942i | \(-0.900360\pi\) |
0.209017 | − | 0.977912i | \(-0.432974\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.440737 | + | 0.763379i | −0.0151978 | + | 0.0263234i | ||||
\(842\) | −25.7736 | − | 19.7231i | −0.888218 | − | 0.679703i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −17.6514 | + | 4.77936i | −0.607585 | + | 0.164512i | ||||
\(845\) | 23.4041 | − | 13.5124i | 0.805126 | − | 0.464840i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.60211 | − | 4.07125i | 0.226851 | − | 0.139890i | ||||
\(848\) | −15.8591 | + | 27.8048i | −0.544604 | + | 0.954822i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.91729 | − | 0.771127i | −0.202961 | − | 0.0264494i | ||||
\(851\) | −8.58622 | − | 14.8718i | −0.294332 | − | 0.509797i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −27.0808 | − | 46.9054i | −0.927230 | − | 1.60601i | −0.787935 | − | 0.615759i | \(-0.788849\pi\) |
−0.139296 | − | 0.990251i | \(-0.544484\pi\) | |||||||
\(854\) | −16.0745 | − | 35.7080i | −0.550059 | − | 1.22190i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 24.5521 | − | 3.33075i | 0.839175 | − | 0.113843i | ||||
\(857\) | 35.0389i | 1.19691i | 0.801158 | + | 0.598453i | \(0.204218\pi\) | ||||
−0.801158 | + | 0.598453i | \(0.795782\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 32.4153i | 1.10600i | 0.833182 | + | 0.552999i | \(0.186517\pi\) | ||||
−0.833182 | + | 0.552999i | \(0.813483\pi\) | |||||||
\(860\) | −57.9097 | − | 15.3541i | −1.97471 | − | 0.523569i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.16415 | + | 31.9539i | −0.141832 | + | 1.08835i | ||||
\(863\) | −0.619701 | − | 1.07335i | −0.0210949 | − | 0.0365374i | 0.855285 | − | 0.518157i | \(-0.173382\pi\) |
−0.876380 | + | 0.481620i | \(0.840049\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.1011 | − | 22.6918i | 0.445452 | − | 0.771545i | ||||
\(866\) | −33.8956 | + | 14.0922i | −1.15182 | + | 0.478871i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.52040 | + | 31.5116i | 0.323143 | + | 1.06957i | ||||
\(869\) | 13.0484 | + | 7.53352i | 0.442638 | + | 0.255557i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.5238i | 0.526003i | ||||||||
\(872\) | 20.1866 | + | 26.0943i | 0.683605 | + | 0.883665i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.11385 | − | 9.29619i | 0.240630 | − | 0.314448i | ||||
\(875\) | −13.5114 | − | 21.9106i | −0.456768 | − | 0.740715i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 48.0956 | 1.62407 | 0.812037 | − | 0.583606i | \(-0.198359\pi\) | ||||
0.812037 | + | 0.583606i | \(0.198359\pi\) | |||||||
\(878\) | −5.50544 | − | 0.717456i | −0.185800 | − | 0.0242130i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 36.6974 | − | 0.192652i | 1.23707 | − | 0.00649429i | ||||
\(881\) | − | 5.79121i | − | 0.195111i | −0.995230 | − | 0.0975554i | \(-0.968898\pi\) | ||
0.995230 | − | 0.0975554i | \(-0.0311023\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 52.6107i | − | 1.77049i | −0.465125 | − | 0.885245i | \(-0.653991\pi\) | ||
0.465125 | − | 0.885245i | \(-0.346009\pi\) | |||||||
\(884\) | −2.94010 | + | 11.0889i | −0.0988862 | + | 0.372962i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.07197 | − | 15.8994i | 0.0696092 | − | 0.534151i | ||||
\(887\) | −47.6931 | −1.60138 | −0.800689 | − | 0.599080i | \(-0.795533\pi\) | ||||
−0.800689 | + | 0.599080i | \(0.795533\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.30258 | − | 2.11232i | −0.0436872 | − | 0.0708451i | ||||
\(890\) | 27.2652 | + | 20.8645i | 0.913930 | + | 0.699379i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.60465 | + | 17.3670i | −0.154175 | + | 0.581490i | ||||
\(893\) | − | 19.8623i | − | 0.664667i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 45.1055 | + | 26.0417i | 1.50771 | + | 0.870478i | ||||
\(896\) | −29.5065 | + | 5.03663i | −0.985742 | + | 0.168262i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.50840 | + | 20.4651i | 0.283929 | + | 0.682929i | ||||
\(899\) | −16.4940 | + | 28.5684i | −0.550105 | + | 0.952810i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.2073 | − | 28.0718i | −0.539942 | − | 0.935207i | ||||
\(902\) | −46.3765 | − | 6.04368i | −1.54417 | − | 0.201232i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 21.5939 | − | 16.7051i | 0.718203 | − | 0.555603i | ||||
\(905\) | 40.7753i | 1.35542i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 5.99987i | − | 0.199223i | −0.995026 | − | 0.0996113i | \(-0.968240\pi\) | ||
0.995026 | − | 0.0996113i | \(-0.0317599\pi\) | |||||||
\(908\) | −14.6251 | + | 14.7021i | −0.485351 | + | 0.487905i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 11.8760 | − | 5.34615i | 0.393685 | − | 0.177223i | ||||
\(911\) | 8.56559 | + | 14.8360i | 0.283791 | + | 0.491540i | 0.972315 | − | 0.233673i | \(-0.0750746\pi\) |
−0.688525 | + | 0.725213i | \(0.741741\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.419356 | + | 0.726346i | 0.0138787 | + | 0.0240385i | ||||
\(914\) | 3.19549 | − | 24.5208i | 0.105697 | − | 0.811076i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.23295 | + | 5.26049i | −0.172901 | + | 0.173812i | ||||
\(917\) | −15.7007 | + | 9.68196i | −0.518482 | + | 0.319726i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.67873 | + | 4.43332i | −0.253298 | + | 0.146242i | −0.621273 | − | 0.783594i | \(-0.713384\pi\) |
0.367975 | + | 0.929836i | \(0.380051\pi\) | |||||||
\(920\) | 23.2697 | + | 9.53146i | 0.767179 | + | 0.314243i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.16127 | + | 2.82429i | −0.0711777 | + | 0.0930130i | ||||
\(923\) | −1.42947 | + | 2.47592i | −0.0470517 | + | 0.0814959i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.47288 | − | 4.28315i | −0.0813077 | − | 0.140829i | ||||
\(926\) | −24.8274 | − | 3.23545i | −0.815879 | − | 0.106323i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −23.9172 | − | 18.1042i | −0.785120 | − | 0.594299i | ||||
\(929\) | 9.29468 | + | 5.36629i | 0.304949 | + | 0.176062i | 0.644664 | − | 0.764466i | \(-0.276997\pi\) |
−0.339715 | + | 0.940528i | \(0.610331\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.927941 | + | 15.9922i | 0.0304120 | + | 0.524124i | ||||
\(932\) | 7.67064 | − | 28.9308i | 0.251260 | − | 0.947659i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −26.7796 | − | 20.4929i | −0.876256 | − | 0.670550i | ||||
\(935\) | −18.5810 | + | 32.1833i | −0.607665 | + | 1.05251i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.5535 | −0.704121 | −0.352061 | − | 0.935977i | \(-0.614519\pi\) | ||||
−0.352061 | + | 0.935977i | \(0.614519\pi\) | |||||||
\(938\) | 4.11968 | − | 40.8098i | 0.134512 | − | 1.33249i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 41.1847 | − | 11.1514i | 1.34330 | − | 0.363717i | ||||
\(941\) | 8.80806 | − | 5.08533i | 0.287134 | − | 0.165777i | −0.349514 | − | 0.936931i | \(-0.613653\pi\) |
0.636649 | + | 0.771154i | \(0.280320\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.7533 | − | 16.0234i | −0.903772 | − | 0.521793i | ||||
\(944\) | 12.1356 | − | 7.09171i | 0.394981 | − | 0.230816i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −39.0943 | + | 51.0874i | −1.27107 | + | 1.66100i | ||||
\(947\) | −3.11631 | + | 5.39761i | −0.101267 | + | 0.175399i | −0.912207 | − | 0.409730i | \(-0.865623\pi\) |
0.810940 | + | 0.585129i | \(0.198956\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.671737 | + | 1.16348i | 0.0218055 | + | 0.0377682i | ||||
\(950\) | 2.04883 | − | 2.67735i | 0.0664728 | − | 0.0868648i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 10.6719 | − | 28.3711i | 0.345878 | − | 0.919512i | ||||
\(953\) | 24.0752i | 0.779871i | 0.920842 | + | 0.389936i | \(0.127503\pi\) | ||||
−0.920842 | + | 0.389936i | \(0.872497\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −35.0923 | − | 20.2605i | −1.13556 | − | 0.655615i | ||||
\(956\) | −7.15563 | − | 26.4275i | −0.231430 | − | 0.854726i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.33069 | + | 0.968990i | −0.0753013 | + | 0.0313067i | ||||
\(959\) | 20.2301 | + | 32.8059i | 0.653263 | + | 1.05936i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.85032 | − | 6.66896i | 0.124204 | − | 0.215128i | ||||
\(962\) | −8.77959 | + | 3.65013i | −0.283065 | + | 0.117685i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 16.5569 | − | 16.6441i | 0.533263 | − | 0.536069i | ||||
\(965\) | −49.3233 | + | 28.4768i | −1.58777 | + | 0.916701i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.08046 | − | 0.623806i | −0.0347454 | − | 0.0200603i | 0.482527 | − | 0.875881i | \(-0.339719\pi\) |
−0.517272 | + | 0.855821i | \(0.673052\pi\) | |||||||
\(968\) | 3.14303 | − | 7.67326i | 0.101021 | − | 0.246628i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 27.5645 | − | 36.0205i | 0.885043 | − | 1.15655i | ||||
\(971\) | 7.33316 | + | 12.7014i | 0.235332 | + | 0.407608i | 0.959369 | − | 0.282154i | \(-0.0910488\pi\) |
−0.724037 | + | 0.689761i | \(0.757715\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −34.5045 | + | 1.00021i | −1.10616 | + | 0.0320653i | ||||
\(974\) | 23.1491 | + | 3.01674i | 0.741747 | + | 0.0966626i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −36.3639 | − | 20.7409i | −1.16398 | − | 0.663901i | ||||
\(977\) | 36.4261 | − | 21.0306i | 1.16538 | − | 0.672830i | 0.212789 | − | 0.977098i | \(-0.431745\pi\) |
0.952586 | + | 0.304268i | \(0.0984120\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.9258 | − | 18.4324i | 1.02035 | − | 0.589101i | ||||
\(980\) | −32.6390 | + | 10.9027i | −1.04262 | + | 0.348272i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.08381 | − | 46.6845i | 0.194142 | − | 1.48976i | ||||
\(983\) | −7.02310 | −0.224002 | −0.112001 | − | 0.993708i | \(-0.535726\pi\) | ||||
−0.112001 | + | 0.993708i | \(0.535726\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 35.4236 | 1.12869 | ||||||||
\(986\) | 28.0484 | − | 11.6612i | 0.893243 | − | 0.371368i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.59502 | − | 4.57096i | −0.146187 | − | 0.145422i | ||||
\(989\) | −38.1743 | + | 22.0399i | −1.21387 | + | 0.700829i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −34.0177 | − | 19.6402i | −1.08061 | − | 0.623890i | −0.149548 | − | 0.988754i | \(-0.547782\pi\) |
−0.931061 | + | 0.364864i | \(0.881115\pi\) | |||||||
\(992\) | 28.0590 | + | 21.2394i | 0.890875 | + | 0.674351i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.41494 | − | 6.12950i | 0.140034 | − | 0.194416i | ||||
\(995\) | 3.35590 | − | 5.81258i | 0.106389 | − | 0.184271i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.54078 | −0.143808 | −0.0719039 | − | 0.997412i | \(-0.522908\pi\) | ||||
−0.0719039 | + | 0.997412i | \(0.522908\pi\) | |||||||
\(998\) | 15.1697 | + | 36.4874i | 0.480189 | + | 1.15499i | ||||
\(999\) | 0 | 0 |
(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 | 756.2.o.a.179.38 | 88 | ||
3.2 | odd | 2 | 252.2.o.a.95.7 | ✓ | 88 | ||
4.3 | odd | 2 | inner | 756.2.o.a.179.24 | 88 | ||
7.2 | even | 3 | 756.2.bb.a.611.9 | 88 | |||
9.2 | odd | 6 | 756.2.bb.a.683.36 | 88 | |||
9.7 | even | 3 | 252.2.bb.a.11.9 | yes | 88 | ||
12.11 | even | 2 | 252.2.o.a.95.21 | yes | 88 | ||
21.2 | odd | 6 | 252.2.bb.a.23.36 | yes | 88 | ||
28.23 | odd | 6 | 756.2.bb.a.611.36 | 88 | |||
36.7 | odd | 6 | 252.2.bb.a.11.36 | yes | 88 | ||
36.11 | even | 6 | 756.2.bb.a.683.9 | 88 | |||
63.2 | odd | 6 | inner | 756.2.o.a.359.24 | 88 | ||
63.16 | even | 3 | 252.2.o.a.191.21 | yes | 88 | ||
84.23 | even | 6 | 252.2.bb.a.23.9 | yes | 88 | ||
252.79 | odd | 6 | 252.2.o.a.191.7 | yes | 88 | ||
252.191 | even | 6 | inner | 756.2.o.a.359.38 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.o.a.95.7 | ✓ | 88 | 3.2 | odd | 2 | ||
252.2.o.a.95.21 | yes | 88 | 12.11 | even | 2 | ||
252.2.o.a.191.7 | yes | 88 | 252.79 | odd | 6 | ||
252.2.o.a.191.21 | yes | 88 | 63.16 | even | 3 | ||
252.2.bb.a.11.9 | yes | 88 | 9.7 | even | 3 | ||
252.2.bb.a.11.36 | yes | 88 | 36.7 | odd | 6 | ||
252.2.bb.a.23.9 | yes | 88 | 84.23 | even | 6 | ||
252.2.bb.a.23.36 | yes | 88 | 21.2 | odd | 6 | ||
756.2.o.a.179.24 | 88 | 4.3 | odd | 2 | inner | ||
756.2.o.a.179.38 | 88 | 1.1 | even | 1 | trivial | ||
756.2.o.a.359.24 | 88 | 63.2 | odd | 6 | inner | ||
756.2.o.a.359.38 | 88 | 252.191 | even | 6 | inner | ||
756.2.bb.a.611.9 | 88 | 7.2 | even | 3 | |||
756.2.bb.a.611.36 | 88 | 28.23 | odd | 6 | |||
756.2.bb.a.683.9 | 88 | 36.11 | even | 6 | |||
756.2.bb.a.683.36 | 88 | 9.2 | odd | 6 |