Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(193,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bp (of order \(9\), degree \(6\), 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: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 193.12 | ||
Character | \(\chi\) | \(=\) | 756.193 |
Dual form | 756.2.bp.a.709.12 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.128228 | − | 1.72730i | 0.0740324 | − | 0.997256i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.80842 | − | 1.38615i | 1.70318 | − | 0.619906i | 0.706997 | − | 0.707217i | \(-0.250050\pi\) |
0.996181 | + | 0.0873111i | \(0.0278274\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.63217 | − | 0.267690i | −0.994868 | − | 0.101177i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.96712 | − | 0.442975i | −0.989038 | − | 0.147658i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.19188 | − | 1.52572i | −1.26390 | − | 0.460021i | −0.378823 | − | 0.925469i | \(-0.623671\pi\) |
−0.885075 | + | 0.465448i | \(0.845893\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0262487 | − | 0.00955373i | 0.00728007 | − | 0.00264973i | −0.338378 | − | 0.941010i | \(-0.609878\pi\) |
0.345658 | + | 0.938361i | \(0.387656\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.90595 | − | 6.75602i | −0.492114 | − | 1.74440i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.72455 | − | 6.45111i | −0.903336 | − | 1.56462i | −0.823136 | − | 0.567844i | \(-0.807778\pi\) |
−0.0801995 | − | 0.996779i | \(-0.525556\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.20972 | + | 3.82736i | −0.506946 | + | 0.878056i | 0.493022 | + | 0.870017i | \(0.335892\pi\) |
−0.999968 | + | 0.00803878i | \(0.997441\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.799898 | + | 4.51222i | −0.174552 | + | 0.984648i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.544807 | − | 3.08975i | 0.113600 | − | 0.644258i | −0.873834 | − | 0.486225i | \(-0.838374\pi\) |
0.987434 | − | 0.158033i | \(-0.0505153\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.75243 | − | 7.34416i | 1.75049 | − | 1.46883i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.14562 | + | 5.06829i | −0.220474 | + | 0.975393i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.22017 | + | 2.99190i | 1.52645 | + | 0.555581i | 0.962748 | − | 0.270400i | \(-0.0871559\pi\) |
0.563698 | + | 0.825981i | \(0.309378\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.29370 | − | 0.834840i | 0.411961 | − | 0.149942i | −0.127722 | − | 0.991810i | \(-0.540766\pi\) |
0.539683 | + | 0.841868i | \(0.318544\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.17289 | + | 7.04498i | −0.552328 | + | 1.22637i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −10.3955 | + | 2.62912i | −1.75716 | + | 0.444402i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.31248 | −0.215770 | −0.107885 | − | 0.994163i | \(-0.534408\pi\) | ||||
−0.107885 | + | 0.994163i | \(0.534408\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.0131363 | − | 0.0465643i | −0.00210350 | − | 0.00745626i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.58379 | + | 0.576451i | −0.247346 | + | 0.0900265i | −0.462718 | − | 0.886505i | \(-0.653126\pi\) |
0.215372 | + | 0.976532i | \(0.430904\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.14929 | − | 6.51796i | −0.175265 | − | 0.993980i | −0.937837 | − | 0.347076i | \(-0.887175\pi\) |
0.762572 | − | 0.646904i | \(-0.223937\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −11.9141 | + | 2.42584i | −1.77604 | + | 0.361622i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 11.5317 | + | 4.19720i | 1.68207 | + | 0.612225i | 0.993592 | − | 0.113028i | \(-0.0360550\pi\) |
0.688482 | + | 0.725253i | \(0.258277\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.85668 | + | 1.40921i | 0.979526 | + | 0.201316i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −11.6206 | + | 5.60619i | −1.62721 | + | 0.785024i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.70846 | − | 6.42325i | 0.509396 | − | 0.882301i | −0.490544 | − | 0.871416i | \(-0.663202\pi\) |
0.999941 | − | 0.0108843i | \(-0.00346465\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −18.0793 | −2.43781 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.32763 | + | 4.30763i | 0.838116 | + | 0.570559i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.56898 | + | 2.15563i | 0.334453 | + | 0.280639i | 0.794511 | − | 0.607249i | \(-0.207727\pi\) |
−0.460058 | + | 0.887889i | \(0.652172\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.92140 | + | 0.699333i | 0.246010 | + | 0.0895405i | 0.462082 | − | 0.886837i | \(-0.347102\pi\) |
−0.216072 | + | 0.976377i | \(0.569325\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.69138 | + | 1.96025i | 0.969023 | + | 0.246969i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0867230 | − | 0.0727693i | 0.0107567 | − | 0.00902592i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.09450 | − | 6.20720i | 0.133714 | − | 0.758330i | −0.842033 | − | 0.539427i | \(-0.818641\pi\) |
0.975747 | − | 0.218903i | \(-0.0702479\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.26706 | − | 1.33724i | −0.634080 | − | 0.160984i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.05465 | + | 1.82670i | −0.125163 | + | 0.216789i | −0.921797 | − | 0.387673i | \(-0.873279\pi\) |
0.796633 | + | 0.604463i | \(0.206612\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.1372 | −1.30351 | −0.651754 | − | 0.758430i | \(-0.725967\pi\) | ||||
−0.651754 | + | 0.758430i | \(0.725967\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −11.5632 | − | 16.0598i | −1.33521 | − | 1.85442i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 10.6253 | + | 5.13808i | 1.21087 | + | 0.585538i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.937848 | − | 5.31880i | −0.105516 | − | 0.598412i | −0.991013 | − | 0.133766i | \(-0.957293\pi\) |
0.885497 | − | 0.464646i | \(-0.153818\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.60755 | + | 2.62872i | 0.956394 | + | 0.292080i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −3.56197 | − | 1.29645i | −0.390977 | − | 0.142304i | 0.139049 | − | 0.990286i | \(-0.455596\pi\) |
−0.530026 | + | 0.847981i | \(0.677818\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −23.1269 | − | 19.4057i | −2.50846 | − | 2.10485i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.22195 | − | 13.8150i | 0.667063 | − | 1.48113i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.84841 | − | 8.39768i | 0.513930 | − | 0.890153i | −0.485939 | − | 0.873992i | \(-0.661522\pi\) |
0.999869 | − | 0.0161603i | \(-0.00514421\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0716485 | + | 0.0181206i | −0.00751080 | + | 0.00189955i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.14790 | − | 4.06896i | −0.119032 | − | 0.421931i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.11027 | + | 17.6392i | −0.319107 | + | 1.80974i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.36290 | − | 7.72940i | −0.138382 | − | 0.784802i | −0.972445 | − | 0.233133i | \(-0.925102\pi\) |
0.834063 | − | 0.551669i | \(-0.186009\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 11.7619 | + | 6.38388i | 1.18212 | + | 0.641604i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.608800 | + | 3.45268i | 0.0605779 | + | 0.343554i | 1.00000 | 0.000790964i | \(0.000251772\pi\) | |
−0.939422 | + | 0.342763i | \(0.888637\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.06209 | − | 0.386569i | 0.104651 | − | 0.0380898i | −0.289164 | − | 0.957280i | \(-0.593377\pi\) |
0.393815 | + | 0.919190i | \(0.371155\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.20828 | + | 18.2932i | 0.313096 | + | 1.78524i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.32628 | + | 12.6895i | 0.708258 | + | 1.22674i | 0.965503 | + | 0.260393i | \(0.0838521\pi\) |
−0.257244 | + | 0.966346i | \(0.582815\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.847000 | − | 1.46705i | 0.0811279 | − | 0.140518i | −0.822607 | − | 0.568611i | \(-0.807481\pi\) |
0.903735 | + | 0.428093i | \(0.140814\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.168296 | + | 2.26704i | −0.0159739 | + | 0.215178i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.36323 | + | 13.4025i | −0.222314 | + | 1.26081i | 0.645440 | + | 0.763811i | \(0.276674\pi\) |
−0.867754 | + | 0.496994i | \(0.834437\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.20801 | − | 12.5223i | −0.205898 | − | 1.16771i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.0821149 | + | 0.0167195i | −0.00759152 | + | 0.00154572i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 8.07676 | + | 17.9775i | 0.740396 | + | 1.64799i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.81752 | + | 5.72058i | 0.619775 | + | 0.520053i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.792617 | + | 2.80959i | 0.0714679 | + | 0.253332i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 13.0207 | − | 22.5526i | 1.16461 | − | 2.01716i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.99720 | + | 12.1195i | 0.620901 | + | 1.07543i | 0.989318 | + | 0.145772i | \(0.0465666\pi\) |
−0.368417 | + | 0.929661i | \(0.620100\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −11.4058 | + | 1.14939i | −1.00423 | + | 0.101198i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.19539 | − | 6.77941i | 0.104442 | − | 0.592319i | −0.887000 | − | 0.461770i | \(-0.847215\pi\) |
0.991442 | − | 0.130550i | \(-0.0416742\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.84092 | − | 9.48275i | 0.593183 | − | 0.822258i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.66243 | + | 20.8902i | 0.229145 | + | 1.79794i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.15581 | + | 2.64804i | −0.269619 | + | 0.226237i | −0.767566 | − | 0.640970i | \(-0.778532\pi\) |
0.497946 | + | 0.867208i | \(0.334088\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.57493 | + | 1.32152i | 0.133584 | + | 0.112090i | 0.707131 | − | 0.707082i | \(-0.249989\pi\) |
−0.573548 | + | 0.819172i | \(0.694433\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.72851 | − | 19.3805i | 0.735073 | − | 1.63213i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.124607 | −0.0104202 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 35.4531 | 2.94422 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.31335 | − | 11.6628i | 0.273280 | − | 0.961934i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 13.3998 | + | 11.2437i | 1.09775 | + | 0.921123i | 0.997272 | − | 0.0738156i | \(-0.0235176\pi\) |
0.100480 | + | 0.994939i | \(0.467962\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.52331 | + | 3.10223i | 0.693617 | + | 0.252456i | 0.664683 | − | 0.747125i | \(-0.268566\pi\) |
0.0289341 | + | 0.999581i | \(0.490789\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 8.19348 | + | 20.7911i | 0.662404 | + | 1.68086i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.57817 | − | 6.35884i | 0.608694 | − | 0.510755i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.70912 | − | 1.43412i | −0.136402 | − | 0.114455i | 0.572034 | − | 0.820230i | \(-0.306155\pi\) |
−0.708436 | + | 0.705775i | \(0.750599\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −10.6193 | − | 7.22926i | −0.842168 | − | 0.573317i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.26112 | + | 7.98693i | −0.178201 | + | 0.629458i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.7924 | − | 20.4251i | −0.923655 | − | 1.59982i | −0.793710 | − | 0.608297i | \(-0.791853\pi\) |
−0.129946 | − | 0.991521i | \(-0.541480\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.31827 | + | 31.2283i | −0.180477 | + | 2.43112i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.84635 | − | 16.1424i | 0.220257 | − | 1.24914i | −0.651290 | − | 0.758829i | \(-0.725772\pi\) |
0.871547 | − | 0.490311i | \(-0.163117\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.95798 | + | 8.35574i | −0.765998 | + | 0.642749i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.25193 | − | 10.3774i | 0.631041 | − | 0.793576i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.64079 | + | 7.25049i | −0.656947 | + | 0.551244i | −0.909170 | − | 0.416425i | \(-0.863283\pi\) |
0.252223 | + | 0.967669i | \(0.418838\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −25.0039 | + | 16.9882i | −1.89012 | + | 1.28419i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 4.05283 | − | 4.16098i | 0.304630 | − | 0.312759i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.88245 | + | 11.9208i | 0.514418 | + | 0.890999i | 0.999860 | + | 0.0167298i | \(0.00532549\pi\) |
−0.485442 | + | 0.874269i | \(0.661341\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.29362 | + | 12.6329i | 0.542130 | + | 0.938997i | 0.998781 | + | 0.0493514i | \(0.0157154\pi\) |
−0.456651 | + | 0.889646i | \(0.650951\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.45433 | − | 3.22916i | 0.107508 | − | 0.238706i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.99846 | + | 1.81929i | −0.367494 | + | 0.133757i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.77027 | + | 32.7249i | 0.421964 | + | 2.39308i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.37219 | − | 13.0340i | 0.318030 | − | 0.948081i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.49639 | − | 8.48647i | −0.108275 | − | 0.614060i | −0.989861 | − | 0.142037i | \(-0.954635\pi\) |
0.881586 | − | 0.472023i | \(-0.156476\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.83258 | − | 1.03097i | 0.203893 | − | 0.0742111i | −0.238055 | − | 0.971252i | \(-0.576510\pi\) |
0.441948 | + | 0.897041i | \(0.354288\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.114574 | − | 0.159128i | −0.00820481 | − | 0.0113954i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.61652 | − | 2.79989i | −0.115172 | − | 0.199484i | 0.802676 | − | 0.596415i | \(-0.203409\pi\) |
−0.917849 | + | 0.396931i | \(0.870075\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.53332 | + | 11.3160i | 0.463135 | + | 0.802173i | 0.999115 | − | 0.0420573i | \(-0.0133912\pi\) |
−0.535980 | + | 0.844230i | \(0.680058\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −10.5813 | − | 2.68646i | −0.746350 | − | 0.189488i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −20.8360 | − | 10.0756i | −1.46240 | − | 0.707172i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.23268 | + | 4.39074i | −0.365466 | + | 0.306662i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.98519 | + | 8.92632i | −0.207485 | + | 0.620422i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 15.1024 | − | 12.6724i | 1.04465 | − | 0.876567i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.28375 | − | 7.28049i | 0.0883767 | − | 0.501209i | −0.908200 | − | 0.418536i | \(-0.862543\pi\) |
0.996577 | − | 0.0826730i | \(-0.0263457\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.02002 | + | 2.05592i | 0.206928 | + | 0.140869i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −13.4119 | − | 23.2300i | −0.914682 | − | 1.58428i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.26091 | + | 1.58344i | −0.425018 | + | 0.107491i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.42810 | + | 19.2372i | −0.0965019 | + | 1.29993i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.159397 | − | 0.133750i | −0.0107222 | − | 0.00899697i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.0957 | − | 16.0232i | 1.27875 | − | 1.07300i | 0.285330 | − | 0.958429i | \(-0.407897\pi\) |
0.993416 | − | 0.114566i | \(-0.0365477\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −29.2228 | + | 17.9139i | −1.94818 | + | 1.19426i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.22702 | + | 3.35836i | 0.612419 | + | 0.222902i | 0.629561 | − | 0.776951i | \(-0.283235\pi\) |
−0.0171425 | + | 0.999853i | \(0.505457\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.4235 | − | 10.4246i | −0.820970 | − | 0.688875i | 0.132229 | − | 0.991219i | \(-0.457786\pi\) |
−0.953199 | + | 0.302344i | \(0.902231\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 10.2375 | − | 17.6943i | 0.673575 | − | 1.16420i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.92115 | 0.518932 | 0.259466 | − | 0.965752i | \(-0.416454\pi\) | ||||
0.259466 | + | 0.965752i | \(0.416454\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 49.7356 | 3.24439 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.30741 | + | 0.937925i | −0.604582 | + | 0.0609248i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.2276 | − | 16.1339i | −1.24373 | − | 1.04361i | −0.997223 | − | 0.0744714i | \(-0.976273\pi\) |
−0.246506 | − | 0.969141i | \(-0.579283\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.966642 | − | 0.811109i | 0.0622669 | − | 0.0522481i | −0.611123 | − | 0.791536i | \(-0.709282\pi\) |
0.673390 | + | 0.739287i | \(0.264838\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.64431 | − | 14.5307i | 0.362082 | − | 0.932146i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 28.0665 | − | 4.13753i | 1.79310 | − | 0.264337i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0214368 | + | 0.121574i | −0.00136399 | + | 0.00773557i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.69610 | + | 5.98635i | −0.170859 | + | 0.379369i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.5013 | − | 18.1888i | −0.662838 | − | 1.14807i | −0.979867 | − | 0.199654i | \(-0.936018\pi\) |
0.317028 | − | 0.948416i | \(-0.397315\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.99786 | + | 12.1206i | −0.439951 | + | 0.762018i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −36.4850 | + | 37.4586i | −2.28478 | + | 2.34575i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 23.1203 | + | 19.4002i | 1.44221 | + | 1.21015i | 0.938031 | + | 0.346552i | \(0.112648\pi\) |
0.504175 | + | 0.863602i | \(0.331797\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.45466 | + | 0.351336i | 0.214662 | + | 0.0218310i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −23.0648 | − | 12.5186i | −1.42768 | − | 0.774884i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.55077 | − | 8.79484i | −0.0956244 | − | 0.542313i | −0.994554 | − | 0.104220i | \(-0.966765\pi\) |
0.898930 | − | 0.438093i | \(-0.144346\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.21979 | − | 29.6029i | 0.320649 | − | 1.81849i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −13.8836 | − | 9.45146i | −0.849663 | − | 0.578420i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.4960 | + | 18.1797i | −0.639955 | + | 1.10844i | 0.345487 | + | 0.938424i | \(0.387714\pi\) |
−0.985442 | + | 0.170012i | \(0.945619\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.6446 | − | 23.6332i | −0.828853 | − | 1.43561i | −0.898939 | − | 0.438074i | \(-0.855661\pi\) |
0.0700865 | − | 0.997541i | \(-0.477672\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.0221123 | + | 0.126082i | 0.00133830 | + | 0.00763082i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −47.8942 | + | 17.4321i | −2.88813 | + | 1.05119i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.494783 | − | 2.80605i | −0.0297286 | − | 0.168599i | 0.966329 | − | 0.257310i | \(-0.0828363\pi\) |
−0.996057 | + | 0.0887112i | \(0.971725\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.17550 | + | 1.46101i | −0.429586 | + | 0.0874685i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.46897 | + | 14.0022i | 0.147286 | + | 0.835303i | 0.965503 | + | 0.260393i | \(0.0838520\pi\) |
−0.818216 | + | 0.574910i | \(0.805037\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.79042 | + | 15.8253i | −0.165873 | + | 0.940714i | 0.782286 | + | 0.622919i | \(0.214053\pi\) |
−0.948160 | + | 0.317795i | \(0.897058\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 30.0693 | + | 7.63419i | 1.78115 | + | 0.452211i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.32311 | − | 1.09336i | 0.255185 | − | 0.0645388i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −19.2445 | + | 33.3325i | −1.13203 | + | 1.96073i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −13.5257 | + | 1.36301i | −0.792893 | + | 0.0799012i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.63367 | + | 4.72721i | 0.329122 | + | 0.276166i | 0.792342 | − | 0.610077i | \(-0.208862\pi\) |
−0.463220 | + | 0.886243i | \(0.653306\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.7718 | + | 4.64855i | 0.743603 | + | 0.270649i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 12.5351 | − | 19.4978i | 0.727359 | − | 1.13137i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0152182 | − | 0.0863068i | −0.000880093 | − | 0.00499125i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.28035 | + | 17.4641i | 0.0737980 | + | 1.00661i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.04187 | − | 0.608850i | 0.347096 | − | 0.0349775i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.28689 | 0.474506 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.43417 | + | 5.94815i | −0.195998 | + | 0.339479i | −0.947227 | − | 0.320563i | \(-0.896128\pi\) |
0.751229 | + | 0.660042i | \(0.229461\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.531531 | − | 1.88411i | −0.0302377 | − | 0.107184i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.65944 | + | 9.41117i | −0.0940984 | + | 0.533659i | 0.900921 | + | 0.433982i | \(0.142892\pi\) |
−0.995020 | + | 0.0996766i | \(0.968219\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.46006 | + | 7.09884i | −0.478191 | + | 0.401250i | −0.849772 | − | 0.527151i | \(-0.823260\pi\) |
0.371581 | + | 0.928401i | \(0.378816\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 32.0092 | − | 3.19595i | 1.80352 | − | 0.180071i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 11.1650 | + | 4.06374i | 0.627090 | + | 0.228242i | 0.635964 | − | 0.771718i | \(-0.280603\pi\) |
−0.00887406 | + | 0.999961i | \(0.502825\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −29.8931 | − | 25.0833i | −1.67369 | − | 1.40440i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 22.8580 | − | 11.0275i | 1.27581 | − | 0.615496i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 32.9209 | 1.83177 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.159575 | − | 0.276393i | 0.00885165 | − | 0.0153315i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.42542 | − | 1.65114i | −0.134126 | − | 0.0913081i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −29.2300 | − | 14.1347i | −1.61150 | − | 0.779271i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.8070 | + | 3.93343i | 0.594007 | + | 0.216201i | 0.621491 | − | 0.783421i | \(-0.286527\pi\) |
−0.0274841 | + | 0.999622i | \(0.508750\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.89427 | + | 0.581394i | 0.213404 | + | 0.0318602i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.43582 | − | 25.1568i | −0.242354 | − | 1.37446i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 28.8940 | − | 10.5165i | 1.57396 | − | 0.572873i | 0.600077 | − | 0.799942i | \(-0.295137\pi\) |
0.973879 | + | 0.227069i | \(0.0729145\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 22.8472 | + | 5.80058i | 1.24089 | + | 0.315044i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.8887 | −0.589654 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.6708 | − | 5.54476i | −0.954131 | − | 0.299389i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −21.9128 | + | 2.20819i | −1.17975 | + | 0.118885i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 16.9138 | − | 6.15613i | 0.907982 | − | 0.330478i | 0.154535 | − | 0.987987i | \(-0.450612\pi\) |
0.753447 | + | 0.657509i | \(0.228390\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −25.6012 | − | 9.31809i | −1.37040 | − | 0.498786i | −0.451148 | − | 0.892449i | \(-0.648985\pi\) |
−0.919255 | + | 0.393664i | \(0.871208\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.0183502 | + | 0.143981i | 0.000979459 | + | 0.00768512i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 25.9004 | − | 21.7330i | 1.37854 | − | 1.15673i | 0.408787 | − | 0.912630i | \(-0.365952\pi\) |
0.969750 | − | 0.244100i | \(-0.0784924\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.48445 | + | 8.41874i | −0.0787865 | + | 0.446820i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 32.0881 | − | 11.6458i | 1.69828 | − | 0.616359i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.64640 | + | 13.2440i | −0.403562 | + | 0.698989i | −0.994153 | − | 0.107982i | \(-0.965561\pi\) |
0.590591 | + | 0.806971i | \(0.298895\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.265767 | − | 0.460322i | −0.0139877 | − | 0.0242275i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.7553 | − | 11.0424i | 0.564509 | − | 0.579573i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −42.4151 | + | 15.4378i | −2.22011 | + | 0.808053i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.178696 | − | 0.0650401i | −0.00932787 | − | 0.00339507i | 0.337352 | − | 0.941379i | \(-0.390469\pi\) |
−0.346680 | + | 0.937984i | \(0.612691\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.95463 | − | 1.00882i | 0.257928 | − | 0.0525170i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.4808 | + | 15.9144i | −0.596051 | + | 0.826234i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −29.2189 | + | 10.6348i | −1.51290 | + | 0.550650i | −0.959363 | − | 0.282176i | \(-0.908944\pi\) |
−0.553535 | + | 0.832826i | \(0.686722\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −37.2854 | − | 25.3825i | −1.92541 | − | 1.31075i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.244352 | 0.0125848 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 29.7059 | 1.52589 | 0.762946 | − | 0.646462i | \(-0.223752\pi\) | ||||
0.762946 | + | 0.646462i | \(0.223752\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 21.8312 | − | 10.5322i | 1.11845 | − | 0.539581i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −5.64182 | + | 2.05346i | −0.288284 | + | 0.104927i | −0.482114 | − | 0.876108i | \(-0.660131\pi\) |
0.193831 | + | 0.981035i | \(0.437909\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 47.5879 | + | 4.83965i | 2.42530 | + | 0.246651i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.522786 | + | 19.8487i | 0.0265747 | + | 1.00896i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.1180 | + | 3.68266i | 0.513004 | + | 0.186718i | 0.585534 | − | 0.810648i | \(-0.300885\pi\) |
−0.0725296 | + | 0.997366i | \(0.523107\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.9615 | + | 7.99333i | −1.11064 | + | 0.404240i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −11.5568 | − | 2.93411i | −0.582962 | − | 0.148006i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −10.9444 | − | 18.9562i | −0.550672 | − | 0.953792i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.79026 | − | 8.29698i | 0.240416 | − | 0.416413i | −0.720417 | − | 0.693542i | \(-0.756049\pi\) |
0.960833 | + | 0.277128i | \(0.0893827\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.5023 | − | 13.0323i | −0.776087 | − | 0.652429i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.17944 | − | 29.3741i | 0.258649 | − | 1.46687i | −0.527881 | − | 0.849319i | \(-0.677013\pi\) |
0.786530 | − | 0.617553i | \(-0.211876\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0522308 | − | 0.0438269i | 0.00260180 | − | 0.00218317i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 36.4250 | − | 1.92010i | 1.80997 | − | 0.0954105i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.50173 | + | 2.00247i | 0.272711 | + | 0.0992586i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −32.0983 | + | 11.6828i | −1.58716 | + | 0.577679i | −0.976745 | − | 0.214402i | \(-0.931220\pi\) |
−0.610415 | + | 0.792082i | \(0.708997\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.16929 | + | 5.79058i | 0.205656 | + | 0.285628i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.18497 | − | 6.36169i | −0.304342 | − | 0.313038i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.3626 | −0.754119 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.48461 | − | 2.55091i | 0.121672 | − | 0.124919i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.7096 | + | 8.26562i | −1.10944 | + | 0.403802i | −0.830787 | − | 0.556591i | \(-0.812109\pi\) |
−0.278650 | + | 0.960393i | \(0.589887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.54660 | − | 20.1138i | −0.172851 | − | 0.980284i | −0.940596 | − | 0.339529i | \(-0.889732\pi\) |
0.767745 | − | 0.640755i | \(-0.221379\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −32.3567 | − | 17.5619i | −1.57324 | − | 0.853887i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −79.9768 | − | 29.1092i | −3.87945 | − | 1.41200i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.87026 | − | 2.35511i | −0.235689 | − | 0.113972i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.0159782 | + | 0.215234i | −0.000771432 | + | 0.0103916i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.5977 | + | 20.0879i | −0.558643 | + | 0.967598i | 0.438967 | + | 0.898503i | \(0.355344\pi\) |
−0.997610 | + | 0.0690948i | \(0.977989\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.5689 | −1.08459 | −0.542296 | − | 0.840187i | \(-0.682445\pi\) | ||||
−0.542296 | + | 0.840187i | \(0.682445\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.54607 | − | 61.2380i | 0.217967 | − | 2.93614i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.6217 | + | 8.91267i | 0.508105 | + | 0.426351i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.52122 | + | 2.00956i | 0.263514 | + | 0.0959111i | 0.470398 | − | 0.882454i | \(-0.344110\pi\) |
−0.206885 | + | 0.978365i | \(0.566332\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −19.7203 | − | 7.21864i | −0.939063 | − | 0.343745i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.01679 | − | 7.56598i | 0.428401 | − | 0.359471i | −0.402947 | − | 0.915223i | \(-0.632014\pi\) |
0.831348 | + | 0.555752i | \(0.187570\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.82430 | − | 38.7025i | 0.323503 | − | 1.83468i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.1395 | − | 21.7036i | 0.999865 | − | 1.02655i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.24959 | + | 10.8246i | −0.294937 | + | 0.510845i | −0.974970 | − | 0.222336i | \(-0.928632\pi\) |
0.680034 | + | 0.733181i | \(0.261965\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.51854 | 0.354034 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.45140 | − | 14.3245i | 0.303113 | − | 0.673024i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.247750 | + | 0.168327i | −0.0116147 | + | 0.00789127i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.60433 | − | 20.4412i | −0.168604 | − | 0.956199i | −0.945271 | − | 0.326287i | \(-0.894202\pi\) |
0.776667 | − | 0.629911i | \(-0.216909\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 36.9630 | − | 11.4866i | 1.72528 | − | 0.536148i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.0766 | + | 4.75951i | 0.609040 | + | 0.221672i | 0.628083 | − | 0.778146i | \(-0.283840\pi\) |
−0.0190431 | + | 0.999819i | \(0.506062\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.7165 | + | 12.3486i | 0.683934 | + | 0.573889i | 0.917153 | − | 0.398535i | \(-0.130481\pi\) |
−0.233219 | + | 0.972424i | \(0.574926\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −10.0119 | − | 13.9051i | −0.464290 | − | 0.644836i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.73852 | − | 3.01120i | 0.0804490 | − | 0.139342i | −0.822994 | − | 0.568050i | \(-0.807698\pi\) |
0.903443 | + | 0.428709i | \(0.141031\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.54251 | + | 16.0454i | −0.209754 | + | 0.740910i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.69631 | + | 2.76826i | −0.124239 | + | 0.127555i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.12688 | + | 29.0760i | −0.235734 | + | 1.33692i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.76825 | + | 49.7272i | 0.402315 | + | 2.28164i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −13.8488 | + | 17.4158i | −0.634092 | + | 0.797412i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1.00002 | + | 5.67140i | 0.0456921 | + | 0.259133i | 0.999093 | − | 0.0425724i | \(-0.0135553\pi\) |
−0.953401 | + | 0.301705i | \(0.902444\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0344507 | + | 0.0125390i | −0.00157082 | + | 0.000571731i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.5059 | + | 4.92978i | 0.614538 | + | 0.224313i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −15.9046 | − | 27.5476i | −0.722192 | − | 1.25087i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.5970 | + | 27.0148i | −0.706768 | + | 1.22416i | 0.259281 | + | 0.965802i | \(0.416514\pi\) |
−0.966050 | + | 0.258357i | \(0.916819\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −36.7924 | + | 17.7500i | −1.66381 | + | 0.802682i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.68303 | + | 15.2162i | −0.121084 | + | 0.686699i | 0.862474 | + | 0.506102i | \(0.168914\pi\) |
−0.983557 | + | 0.180597i | \(0.942197\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −11.3154 | − | 64.1726i | −0.509618 | − | 2.89019i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 53.6434 | + | 8.00869i | 2.41109 | + | 0.359964i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.26500 | − | 4.52587i | 0.146455 | − | 0.203013i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.48292 | + | 6.27892i | 0.334982 | + | 0.281083i | 0.794726 | − | 0.606968i | \(-0.207615\pi\) |
−0.459744 | + | 0.888051i | \(0.652059\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −27.5178 | − | 6.98640i | −1.22941 | − | 0.312129i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.03125 | + | 3.51823i | −0.0905690 | + | 0.156870i | −0.907751 | − | 0.419510i | \(-0.862202\pi\) |
0.817182 | + | 0.576380i | \(0.195535\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.10450 | + | 12.3054i | 0.316146 | + | 0.547581i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 13.1560 | + | 18.2718i | 0.584277 | + | 0.811481i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.76007 | + | 15.6532i | −0.122338 | + | 0.693814i | 0.860515 | + | 0.509425i | \(0.170142\pi\) |
−0.982853 | + | 0.184389i | \(0.940969\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 29.3150 | + | 2.98131i | 1.29682 | + | 0.131885i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −16.8666 | − | 15.5842i | −0.744681 | − | 0.688060i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.50904 | − | 2.94444i | 0.154627 | − | 0.129747i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −41.9358 | − | 35.1883i | −1.84433 | − | 1.54758i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 11.4158 | + | 15.8549i | 0.501096 | + | 0.695955i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −34.1482 | −1.49606 | −0.748030 | − | 0.663665i | \(-0.769000\pi\) | ||||
−0.748030 | + | 0.663665i | \(0.769000\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.302839 | −0.0132422 | −0.00662110 | − | 0.999978i | \(-0.502108\pi\) | ||||
−0.00662110 | + | 0.999978i | \(0.502108\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 26.1374 | + | 45.3675i | 1.14073 | + | 1.98000i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −13.9286 | − | 11.6875i | −0.606741 | − | 0.509117i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.3632 | + | 4.49983i | 0.537529 | + | 0.195645i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.66757 | − | 7.53400i | −0.289348 | − | 0.326948i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.0360650 | + | 0.0302621i | −0.00156215 | + | 0.00131080i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 45.4911 | + | 38.1716i | 1.96675 | + | 1.65030i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 21.4732 | − | 10.3595i | 0.926637 | − | 0.447044i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −26.5923 | − | 16.3686i | −1.14541 | − | 0.705046i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.1584 | + | 26.2550i | 0.651709 | + | 1.12879i | 0.982708 | + | 0.185162i | \(0.0592809\pi\) |
−0.330999 | + | 0.943631i | \(0.607386\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 22.7561 | − | 10.9784i | 0.976556 | − | 0.471126i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.19218 | − | 6.76120i | 0.0510675 | − | 0.289618i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.5948 | + | 12.2465i | −0.624027 | + | 0.523621i | −0.899067 | − | 0.437812i | \(-0.855754\pi\) |
0.275039 | + | 0.961433i | \(0.411309\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.39124 | − | 2.92614i | −0.230092 | − | 0.124884i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −29.6154 | + | 24.8502i | −1.26166 | + | 1.05866i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.04479 | + | 14.2511i | 0.0444291 | + | 0.606017i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.50151 | + | 8.86711i | 0.106183 | + | 0.376388i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −7.29691 | − | 12.6386i | −0.309180 | − | 0.535516i | 0.669003 | − | 0.743260i | \(-0.266721\pi\) |
−0.978183 | + | 0.207744i | \(0.933388\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0924383 | − | 0.160108i | −0.00390972 | − | 0.00677184i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 57.2655 | − | 5.77074i | 2.41775 | − | 0.243641i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 24.7837 | − | 9.02052i | 1.04451 | − | 0.380170i | 0.237920 | − | 0.971285i | \(-0.423534\pi\) |
0.806587 | + | 0.591115i | \(0.201312\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.57779 | + | 54.3183i | 0.402941 | + | 2.28519i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −21.9529 | − | 9.22340i | −0.921934 | − | 0.387346i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.38023 | + | 13.4990i | 0.0997844 | + | 0.565906i | 0.993176 | + | 0.116627i | \(0.0372080\pi\) |
−0.893391 | + | 0.449279i | \(0.851681\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.95770 | − | 3.26034i | 0.374868 | − | 0.136441i | −0.147713 | − | 0.989030i | \(-0.547191\pi\) |
0.522581 | + | 0.852589i | \(0.324969\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −14.8505 | + | 1.49652i | −0.620391 | + | 0.0625179i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.9233 | − | 31.0440i | −0.747452 | − | 1.29462i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.89500 | − | 13.6745i | −0.328673 | − | 0.569279i | 0.653576 | − | 0.756861i | \(-0.273268\pi\) |
−0.982249 | + | 0.187583i | \(0.939935\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.41758 | − | 5.02490i | −0.0589127 | − | 0.208828i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.02869 | + | 4.36599i | 0.374573 | + | 0.181132i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −25.3455 | + | 21.2674i | −1.04970 | + | 0.880805i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.289552 | + | 0.177499i | −0.0119715 | + | 0.00733866i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.03884 | − | 6.74539i | 0.331798 | − | 0.278412i | −0.461634 | − | 0.887071i | \(-0.652737\pi\) |
0.793432 | + | 0.608659i | \(0.208292\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.87322 | + | 10.6236i | −0.0771849 | + | 0.437737i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5.04353 | + | 2.43319i | −0.207463 | + | 0.100088i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.57907 | − | 14.8594i | −0.352300 | − | 0.610202i | 0.634352 | − | 0.773044i | \(-0.281267\pi\) |
−0.986652 | + | 0.162843i | \(0.947934\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 55.6792 | + | 57.2701i | 2.28262 | + | 2.34785i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 20.3839 | − | 9.83396i | 0.834259 | − | 0.402477i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.01255 | + | 5.88423i | 0.286525 | + | 0.240423i | 0.774709 | − | 0.632317i | \(-0.217896\pi\) |
−0.488184 | + | 0.872741i | \(0.662341\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −27.4590 | + | 23.0408i | −1.12007 | + | 0.939854i | −0.998608 | − | 0.0527419i | \(-0.983204\pi\) |
−0.121466 | + | 0.992596i | \(0.538760\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.99713 | + | 17.9326i | −0.244222 | + | 0.730273i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 33.8936 | + | 12.3363i | 1.37797 | + | 0.501540i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.4832 | + | 25.5785i | 1.23728 | + | 1.03820i | 0.997732 | + | 0.0673126i | \(0.0214425\pi\) |
0.239544 | + | 0.970885i | \(0.423002\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.0754 | + | 34.6980i | −0.813496 | + | 1.40603i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.342791 | 0.0138678 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −43.1677 | −1.74353 | −0.871763 | − | 0.489928i | \(-0.837023\pi\) | ||||
−0.871763 | + | 0.489928i | \(0.837023\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 6.91314 | + | 9.60141i | 0.278765 | + | 0.387166i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.40991 | + | 2.02216i | 0.0970195 | + | 0.0814090i | 0.690007 | − | 0.723802i | \(-0.257607\pi\) |
−0.592988 | + | 0.805211i | \(0.702052\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.96932 | − | 2.49156i | 0.119347 | − | 0.100144i | −0.581161 | − | 0.813789i | \(-0.697401\pi\) |
0.700508 | + | 0.713645i | \(0.252957\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.0356 | + | 6.30091i | 0.603359 | + | 0.252847i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −15.0098 | + | 20.8063i | −0.601356 | + | 0.833587i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.40706 | − | 47.6788i | 0.336282 | − | 1.90715i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −19.9524 | − | 27.7112i | −0.796824 | − | 1.10668i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.88838 | + | 8.46692i | 0.194912 | + | 0.337598i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.48331 | + | 14.6935i | −0.337715 | + | 0.584940i | −0.984003 | − | 0.178154i | \(-0.942987\pi\) |
0.646287 | + | 0.763094i | \(0.276321\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.4110 | − | 3.15097i | −0.493291 | − | 0.125240i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 43.4478 | + | 36.4570i | 1.72417 | + | 1.44675i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.193442 | − | 0.0285170i | 0.00766445 | − | 0.00112988i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.93844 | − | 4.95284i | 0.155802 | − | 0.195932i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.59160 | + | 26.0403i | 0.181357 | + | 1.02853i | 0.930547 | + | 0.366173i | \(0.119332\pi\) |
−0.749190 | + | 0.662356i | \(0.769557\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.818900 | + | 4.64421i | −0.0322943 | + | 0.183150i | −0.996688 | − | 0.0813208i | \(-0.974086\pi\) |
0.964394 | + | 0.264471i | \(0.0851973\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −41.8450 | + | 20.1876i | −1.64764 | + | 0.794884i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.45429 | + | 7.71506i | −0.175116 | + | 0.303310i | −0.940201 | − | 0.340619i | \(-0.889363\pi\) |
0.765085 | + | 0.643929i | \(0.222697\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.47997 | − | 12.9557i | −0.293614 | − | 0.508555i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.93226 | + | 11.0175i | 0.0757310 | + | 0.431809i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 29.1551 | − | 10.6116i | 1.14093 | − | 0.415263i | 0.298678 | − | 0.954354i | \(-0.403454\pi\) |
0.842247 | + | 0.539091i | \(0.181232\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.84473 | − | 27.4758i | −0.189299 | − | 1.07357i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 33.0453 | + | 4.93350i | 1.28922 | + | 0.192474i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −4.28545 | − | 24.3040i | −0.166937 | − | 0.946749i | −0.947044 | − | 0.321103i | \(-0.895947\pi\) |
0.780107 | − | 0.625646i | \(-0.215165\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.73711 | − | 38.2081i | 0.262043 | − | 1.48612i | −0.515281 | − | 0.857021i | \(-0.672313\pi\) |
0.777325 | − | 0.629100i | \(-0.216576\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.251464 | + | 0.258175i | −0.00976607 | + | 0.0100267i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 12.9086 | − | 45.5969i | 0.500574 | − | 1.76817i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.7226 | − | 23.7683i | 0.531342 | − | 0.920311i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −25.2283 | − | 35.0387i | −0.975382 | − | 1.35467i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.98730 | − | 5.86304i | −0.269742 | − | 0.226340i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.8884 | + | 9.78657i | 1.03647 | + | 0.377245i | 0.803541 | − | 0.595249i | \(-0.202947\pi\) |
0.232930 | + | 0.972494i | \(0.425169\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 27.1954 | + | 52.7735i | 1.04675 | + | 2.03125i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.306762 | − | 1.73973i | −0.0117898 | − | 0.0668634i | 0.978345 | − | 0.206980i | \(-0.0663634\pi\) |
−0.990135 | + | 0.140116i | \(0.955252\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.51831 | + | 20.7100i | 0.0582676 | + | 0.794776i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.98405 | − | 15.5072i | 0.267629 | − | 0.594236i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 51.2262 | 1.96012 | 0.980058 | − | 0.198710i | \(-0.0636752\pi\) | ||||
0.980058 | + | 0.198710i | \(0.0636752\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.34808 | + | 14.4593i | −0.318964 | + | 0.552461i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.5994 | + | 20.1224i | −0.747763 | + | 0.767718i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.0359762 | − | 0.204031i | 0.00137058 | − | 0.00777297i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.33319 | − | 2.79688i | 0.126801 | − | 0.106398i | −0.577182 | − | 0.816615i | \(-0.695848\pi\) |
0.703983 | + | 0.710217i | \(0.251403\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −29.2505 | − | 19.9520i | −1.11114 | − | 0.757915i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 7.82981 | + | 2.84982i | 0.297002 | + | 0.108100i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.61764 | + | 8.07015i | 0.364294 | + | 0.305679i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.01571 | − | 13.6822i | 0.0384178 | − | 0.517508i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.3246 | 0.578803 | 0.289401 | − | 0.957208i | \(-0.406544\pi\) | ||||
0.289401 | + | 0.957208i | \(0.406544\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.90021 | − | 5.02331i | 0.109383 | − | 0.189458i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.37749 | − | 85.9082i | 0.240190 | − | 3.23549i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.678222 | − | 9.25102i | −0.0255072 | − | 0.347920i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.6927 | − | 4.25580i | −0.439129 | − | 0.159830i | 0.112988 | − | 0.993596i | \(-0.463958\pi\) |
−0.552117 | + | 0.833766i | \(0.686180\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.426605 | + | 16.1969i | 0.0159989 | + | 0.607433i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.32982 | − | 7.54180i | −0.0498023 | − | 0.282443i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.474558 | + | 0.172725i | −0.0177475 | + | 0.00645954i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −30.3335 | + | 31.1430i | −1.13283 | + | 1.16306i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −39.0507 | −1.45635 | −0.728173 | − | 0.685394i | \(-0.759630\pi\) | ||||
−0.728173 | + | 0.685394i | \(0.759630\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.89909 | + | 0.733207i | −0.107968 | + | 0.0273061i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −1.27708 | − | 1.77369i | −0.0474950 | − | 0.0659641i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 93.9194 | − | 34.1839i | 3.48808 | − | 1.26956i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.18370 | − | 2.25068i | −0.229341 | − | 0.0834733i | 0.224794 | − | 0.974406i | \(-0.427829\pi\) |
−0.454134 | + | 0.890933i | \(0.650051\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −24.3751 | − | 11.6126i | −0.902782 | − | 0.430098i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −37.7675 | + | 31.6907i | −1.39688 | + | 1.17212i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.388237 | + | 2.20180i | −0.0143399 | + | 0.0813254i | −0.991138 | − | 0.132837i | \(-0.957591\pi\) |
0.976798 | + | 0.214163i | \(0.0687023\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.54784 | − | 49.0098i | −0.130864 | − | 1.80775i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −14.0584 | + | 24.3499i | −0.517849 | + | 0.896941i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.88709 | + | 8.46468i | 0.179774 | + | 0.311378i | 0.941803 | − | 0.336165i | \(-0.109130\pi\) |
−0.762029 | + | 0.647543i | \(0.775797\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.207246 | + | 0.0526169i | 0.00761337 | + | 0.00193293i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −32.6538 | + | 11.8850i | −1.19795 | + | 0.436019i | −0.862509 | − | 0.506042i | \(-0.831108\pi\) |
−0.335443 | + | 0.942061i | \(0.608886\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 66.6175 | + | 24.2468i | 2.44068 | + | 0.888334i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.99449 | + | 5.42459i | 0.365679 | + | 0.198475i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −15.8872 | − | 35.3621i | −0.580506 | − | 1.29210i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 34.2653 | − | 12.4715i | 1.25036 | − | 0.455093i | 0.369835 | − | 0.929097i | \(-0.379414\pi\) |
0.880523 | + | 0.474004i | \(0.157192\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −32.7641 | + | 15.8066i | −1.19399 | + | 0.576025i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 36.7605 | 1.33785 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.3621 | 1.10353 | 0.551764 | − | 0.834000i | \(-0.313955\pi\) | ||||
0.551764 | + | 0.834000i | \(0.313955\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 20.0386 | + | 13.6416i | 0.727356 | + | 0.495158i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −28.0536 | + | 10.2107i | −1.01694 | + | 0.370137i | −0.796095 | − | 0.605172i | \(-0.793104\pi\) |
−0.220847 | + | 0.975308i | \(0.570882\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.62217 | + | 3.63479i | −0.0949288 | + | 0.131588i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 60.0238 | + | 67.8237i | 2.17016 | + | 2.45217i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.0880267 | + | 0.0320391i | 0.00317846 | + | 0.00115686i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.2839 | + | 6.65479i | −0.659333 | + | 0.239978i | −0.649949 | − | 0.759978i | \(-0.725210\pi\) |
−0.00938486 | + | 0.999956i | \(0.502987\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 36.4747 | − | 37.4480i | 1.31360 | − | 1.34866i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.80733 | − | 4.86244i | −0.100973 | − | 0.174890i | 0.811113 | − | 0.584890i | \(-0.198862\pi\) |
−0.912086 | + | 0.410000i | \(0.865529\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 13.9443 | − | 24.1522i | 0.500893 | − | 0.867573i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.04985 | − | 5.92218i | 0.0376630 | − | 0.212457i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.29345 | − | 7.33551i | 0.0463426 | − | 0.262822i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.20797 | − | 6.04821i | 0.257921 | − | 0.216422i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −24.5810 | + | 38.2346i | −0.878452 | + | 1.36639i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.49695 | − | 3.09264i | −0.303269 | − | 0.110381i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.4483 | + | 7.07861i | −0.693258 | + | 0.252325i | −0.664529 | − | 0.747262i | \(-0.731368\pi\) |
−0.0287283 | + | 0.999587i | \(0.509146\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.3902 | + | 1.55089i | −0.547904 | + | 0.0552133i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.80816 | − | 34.6452i | 0.348738 | − | 1.23184i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.0571155 | 0.00202823 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −50.4637 | − | 12.8121i | −1.78976 | − | 0.454397i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.9875 | − | 3.99911i | 0.389196 | − | 0.141656i | −0.140008 | − | 0.990150i | \(-0.544713\pi\) |
0.529204 | + | 0.848495i | \(0.322491\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −15.8738 | − | 90.0250i | −0.561576 | − | 3.18486i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −18.1057 | + | 22.7692i | −0.639735 | + | 0.804509i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 46.6857 | + | 16.9922i | 1.64750 | + | 0.599642i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.45979 | + | 33.5518i | 0.0866964 | + | 1.18255i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 30.0559 | + | 20.4609i | 1.05802 | + | 0.720259i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 11.0776 | − | 19.1870i | 0.389469 | − | 0.674579i | −0.602910 | − | 0.797810i | \(-0.705992\pi\) |
0.992378 | + | 0.123230i | \(0.0393253\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.1762 | 0.427566 | 0.213783 | − | 0.976881i | \(-0.431422\pi\) | ||||
0.213783 | + | 0.976881i | \(0.431422\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −42.5712 | + | 20.5379i | −1.49304 | + | 0.720296i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −73.2229 | − | 61.4413i | −2.56489 | − | 2.15219i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 27.4862 | + | 10.0042i | 0.961620 | + | 0.350001i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.220616 | − | 0.0220274i | 0.00770896 | − | 0.000769698i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.5655 | − | 20.6129i | 0.857343 | − | 0.719396i | −0.104051 | − | 0.994572i | \(-0.533180\pi\) |
0.961394 | + | 0.275176i | \(0.0887360\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.34862 | + | 24.6622i | −0.151583 | + | 0.859671i | 0.810260 | + | 0.586071i | \(0.199326\pi\) |
−0.961843 | + | 0.273601i | \(0.911785\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 23.9690 | + | 84.9629i | 0.834494 | + | 2.95803i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.8063 | − | 27.3773i | 0.549638 | − | 0.952002i | −0.448661 | − | 0.893702i | \(-0.648099\pi\) |
0.998299 | − | 0.0582995i | \(-0.0185678\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.4892 | −0.433766 | −0.216883 | − | 0.976198i | \(-0.569589\pi\) | ||||
−0.216883 | + | 0.976198i | \(0.569589\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −4.91033 | + | 0.494823i | −0.170337 | + | 0.0171652i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −16.4471 | − | 49.4819i | −0.569857 | − | 1.71445i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.5358 | − | 65.4227i | −0.399212 | − | 2.26405i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.60350 | + | 12.5816i | 0.0554252 | + | 0.434882i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −8.71358 | − | 3.17148i | −0.300826 | − | 0.109492i | 0.187197 | − | 0.982322i | \(-0.440060\pi\) |
−0.488023 | + | 0.872831i | \(0.662282\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 36.4044 | + | 30.5469i | 1.25532 | + | 1.05334i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 24.5026 | − | 2.46917i | 0.843915 | − | 0.0850428i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −26.3419 | + | 45.6254i | −0.906187 | + | 1.56956i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.4136 | − | 16.8826i | −0.563977 | − | 0.580091i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 26.9771 | + | 6.84912i | 0.925852 | + | 0.235061i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.715046 | + | 4.05522i | −0.0245114 | + | 0.139011i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.64237 | − | 26.3282i | −0.158952 | − | 0.901460i | −0.955083 | − | 0.296337i | \(-0.904235\pi\) |
0.796132 | − | 0.605123i | \(-0.206876\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 17.0422 | − | 50.9598i | 0.582833 | − | 1.74279i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.979306 | + | 5.55392i | 0.0334524 | + | 0.189718i | 0.996955 | − | 0.0779816i | \(-0.0248475\pi\) |
−0.963502 | + | 0.267700i | \(0.913736\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.94252 | + | 2.52687i | −0.236876 | + | 0.0862157i | −0.457730 | − | 0.889091i | \(-0.651338\pi\) |
0.220855 | + | 0.975307i | \(0.429115\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.33421 | − | 7.60750i | −0.0454697 | − | 0.259263i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.8520 | + | 18.7962i | 0.369407 | + | 0.639831i | 0.989473 | − | 0.144719i | \(-0.0462277\pi\) |
−0.620066 | + | 0.784549i | \(0.712894\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.8575 | + | 39.5904i | −0.777178 | + | 1.34611i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 55.1074 | + | 37.5152i | 1.87155 | + | 1.27408i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −4.18365 | + | 23.7267i | −0.141921 | + | 0.804872i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0305728 | − | 0.173387i | −0.00103592 | − | 0.00587500i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.619952 | + | 23.5378i | 0.0209822 | + | 0.796632i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −40.3099 | + | 55.8767i | −1.36272 | + | 1.88898i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 31.3185 | + | 26.2793i | 1.05755 | + | 0.887390i | 0.993867 | − | 0.110580i | \(-0.0352710\pi\) |
0.0636828 | + | 0.997970i | \(0.479715\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.88769 | − | 9.12486i | 0.299774 | − | 0.307774i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −22.6335 | + | 39.2023i | −0.762541 | + | 1.32076i | 0.178996 | + | 0.983850i | \(0.442715\pi\) |
−0.941537 | + | 0.336910i | \(0.890618\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.80328 | + | 10.0516i | 0.195296 | + | 0.338263i | 0.946998 | − | 0.321241i | \(-0.104100\pi\) |
−0.751702 | + | 0.659503i | \(0.770767\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 9.66714 | − | 21.4646i | 0.324957 | − | 0.721525i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 4.22367 | − | 23.9536i | 0.141817 | − | 0.804284i | −0.828051 | − | 0.560653i | \(-0.810550\pi\) |
0.969868 | − | 0.243631i | \(-0.0783387\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −15.1736 | − | 33.7738i | −0.508906 | − | 1.13274i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −32.0711 | − | 24.1520i | −1.07442 | − | 0.809121i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −41.5461 | + | 34.8613i | −1.39029 | + | 1.16659i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 42.7352 | + | 35.8591i | 1.42848 | + | 1.19864i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.151029 | + | 0.0152195i | −0.00504271 | + | 0.000508163i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 21.3524 | 0.712142 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −55.2494 | −1.84062 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 30.3298 | + | 0.0278398i | 1.00931 | + | 0.000926451i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 45.2883 | + | 38.0014i | 1.50543 | + | 1.26321i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.0127 | − | 4.37225i | −0.398874 | − | 0.145178i | 0.134791 | − | 0.990874i | \(-0.456964\pi\) |
−0.533665 | + | 0.845696i | \(0.679186\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.276929 | − | 10.5142i | −0.00918515 | − | 0.348733i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −14.8939 | + | 12.4975i | −0.493458 | + | 0.414060i | −0.855264 | − | 0.518193i | \(-0.826605\pi\) |
0.361806 | + | 0.932253i | \(0.382160\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.9533 | + | 10.8691i | 0.428693 | + | 0.359716i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.06261 | − | 14.3139i | 0.0351288 | − | 0.473204i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −4.96126 | + | 17.5246i | −0.163835 | + | 0.578713i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.1042 | − | 27.8932i | −0.531227 | − | 0.920112i | −0.999336 | − | 0.0364415i | \(-0.988398\pi\) |
0.468109 | − | 0.883671i | \(-0.344936\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 9.83387 | + | 6.69455i | 0.324037 | + | 0.220593i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.0102312 | + | 0.0580242i | −0.000336765 | + | 0.00190989i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.4873 | + | 9.63903i | −0.377702 | + | 0.316929i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.32258 | + | 0.676515i | −0.109128 | + | 0.0222197i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 37.6440 | − | 31.5871i | 1.23506 | − | 1.03634i | 0.237167 | − | 0.971469i | \(-0.423781\pi\) |
0.997894 | − | 0.0648696i | \(-0.0206632\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.5449 | + | 23.1290i | −0.673333 | + | 0.758022i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 16.0431 | + | 4.07313i | 0.525228 | + | 0.133348i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 67.3372 | + | 116.632i | 2.20216 | + | 3.81426i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.3036 | − | 50.7553i | −0.957306 | − | 1.65810i | −0.729000 | − | 0.684514i | \(-0.760015\pi\) |
−0.228306 | − | 0.973589i | \(-0.573319\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 11.1770 | + | 15.5233i | 0.364747 | + | 0.506584i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 9.23384 | − | 3.36084i | 0.301015 | − | 0.109560i | −0.187097 | − | 0.982341i | \(-0.559908\pi\) |
0.488112 | + | 0.872781i | \(0.337686\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.918234 | + | 5.20756i | 0.0299018 | + | 0.169582i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.41588 | − | 55.6993i | −0.0460586 | − | 1.81190i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.23537 | + | 24.0200i | 0.137631 | + | 0.780544i | 0.972991 | + | 0.230841i | \(0.0741479\pi\) |
−0.835360 | + | 0.549703i | \(0.814741\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.292336 | + | 0.106402i | −0.00948964 | + | 0.00345394i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.45095 | − | 18.7642i | 0.274041 | − | 0.608472i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 7.69576 | + | 13.3294i | 0.249290 | + | 0.431783i | 0.963329 | − | 0.268323i | \(-0.0864694\pi\) |
−0.714039 | + | 0.700106i | \(0.753136\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.4624 | − | 30.2458i | −0.565071 | − | 0.978732i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −47.1595 | + | 48.4180i | −1.52445 | + | 1.56513i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 9.01550 | − | 6.12533i | 0.291126 | − | 0.197797i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.1833 | + | 16.0967i | −0.618815 | + | 0.519247i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −16.1168 | − | 40.8965i | −0.519356 | − | 1.31787i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.35856 | − | 7.85276i | 0.301263 | − | 0.252789i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.62373 | − | 26.2225i | 0.148689 | − | 0.843257i | −0.815642 | − | 0.578557i | \(-0.803616\pi\) |
0.964331 | − | 0.264700i | \(-0.0852730\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.22138 | − | 56.8642i | 0.135610 | − | 1.82674i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −15.1821 | − | 26.2962i | −0.487217 | − | 0.843884i | 0.512675 | − | 0.858583i | \(-0.328654\pi\) |
−0.999892 | + | 0.0146986i | \(0.995321\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.79172 | − | 3.90006i | −0.121557 | − | 0.125030i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.456951 | − | 0.311076i | −0.0146341 | − | 0.00996239i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −13.7184 | − | 11.5111i | −0.438890 | − | 0.368273i | 0.396404 | − | 0.918076i | \(-0.370258\pi\) |
−0.835294 | + | 0.549804i | \(0.814703\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −33.1364 | + | 27.8048i | −1.05904 | + | 0.888644i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −3.16301 | + | 3.97770i | −0.100987 | + | 0.126998i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 9.84149 | + | 3.58201i | 0.313895 | + | 0.114248i | 0.494163 | − | 0.869369i | \(-0.335474\pi\) |
−0.180269 | + | 0.983617i | \(0.557697\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.0375 | − | 8.42243i | −0.319820 | − | 0.268361i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −28.1629 | + | 48.6764i | −0.896436 | + | 1.54939i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −20.7650 | −0.660290 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.42498 | −0.204096 | −0.102048 | − | 0.994779i | \(-0.532540\pi\) | ||||
−0.102048 | + | 0.994779i | \(0.532540\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 8.17996 | − | 18.1625i | 0.259583 | − | 0.576371i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 40.5674 | + | 34.0401i | 1.28607 | + | 1.07914i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.8016 | + | 18.2937i | −0.690462 | + | 0.579367i | −0.919043 | − | 0.394158i | \(-0.871036\pi\) |
0.228580 | + | 0.973525i | \(0.426592\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.50359 | − | 6.65201i | 0.0475716 | − | 0.210460i |
(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.bp.a.193.12 | ✓ | 144 | |
7.2 | even | 3 | 756.2.bq.a.625.21 | yes | 144 | ||
27.7 | even | 9 | 756.2.bq.a.277.21 | yes | 144 | ||
189.142 | even | 9 | inner | 756.2.bp.a.709.12 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bp.a.193.12 | ✓ | 144 | 1.1 | even | 1 | trivial | |
756.2.bp.a.709.12 | yes | 144 | 189.142 | even | 9 | inner | |
756.2.bq.a.277.21 | yes | 144 | 27.7 | even | 9 | ||
756.2.bq.a.625.21 | yes | 144 | 7.2 | even | 3 |