Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(259,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 259.10 | ||
Character | \(\chi\) | \(=\) | 731.259 |
Dual form | 731.2.f.c.302.19 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.47026i | − | 1.03963i | −0.854279 | − | 0.519815i | \(-0.826001\pi\) | ||
0.854279 | − | 0.519815i | \(-0.173999\pi\) | |||||||
\(3\) | −1.92339 | + | 1.92339i | −1.11047 | + | 1.11047i | −0.117380 | + | 0.993087i | \(0.537450\pi\) |
−0.993087 | + | 0.117380i | \(0.962550\pi\) | |||||||
\(4\) | −0.161659 | −0.0808297 | ||||||||
\(5\) | 2.97219 | − | 2.97219i | 1.32920 | − | 1.32920i | 0.423137 | − | 0.906066i | \(-0.360929\pi\) |
0.906066 | − | 0.423137i | \(-0.139071\pi\) | |||||||
\(6\) | 2.82787 | + | 2.82787i | 1.15447 | + | 1.15447i | ||||
\(7\) | −2.28989 | − | 2.28989i | −0.865495 | − | 0.865495i | 0.126474 | − | 0.991970i | \(-0.459634\pi\) |
−0.991970 | + | 0.126474i | \(0.959634\pi\) | |||||||
\(8\) | − | 2.70284i | − | 0.955597i | ||||||
\(9\) | − | 4.39883i | − | 1.46628i | ||||||
\(10\) | −4.36988 | − | 4.36988i | −1.38188 | − | 1.38188i | ||||
\(11\) | 0.913013 | + | 0.913013i | 0.275284 | + | 0.275284i | 0.831223 | − | 0.555939i | \(-0.187641\pi\) |
−0.555939 | + | 0.831223i | \(0.687641\pi\) | |||||||
\(12\) | 0.310933 | − | 0.310933i | 0.0897587 | − | 0.0897587i | ||||
\(13\) | −1.35632 | −0.376174 | −0.188087 | − | 0.982152i | \(-0.560229\pi\) | ||||
−0.188087 | + | 0.982152i | \(0.560229\pi\) | |||||||
\(14\) | −3.36672 | + | 3.36672i | −0.899795 | + | 0.899795i | ||||
\(15\) | 11.4333i | 2.95207i | ||||||||
\(16\) | −4.29718 | −1.07430 | ||||||||
\(17\) | −3.90253 | − | 1.33050i | −0.946503 | − | 0.322694i | ||||
\(18\) | −6.46741 | −1.52438 | ||||||||
\(19\) | 0.817400i | 0.187524i | 0.995595 | + | 0.0937622i | \(0.0298893\pi\) | ||||
−0.995595 | + | 0.0937622i | \(0.970111\pi\) | |||||||
\(20\) | −0.480482 | + | 0.480482i | −0.107439 | + | 0.107439i | ||||
\(21\) | 8.80867 | 1.92221 | ||||||||
\(22\) | 1.34236 | − | 1.34236i | 0.286193 | − | 0.286193i | ||||
\(23\) | 3.47407 | + | 3.47407i | 0.724394 | + | 0.724394i | 0.969497 | − | 0.245103i | \(-0.0788219\pi\) |
−0.245103 | + | 0.969497i | \(0.578822\pi\) | |||||||
\(24\) | 5.19860 | + | 5.19860i | 1.06116 | + | 1.06116i | ||||
\(25\) | − | 12.6678i | − | 2.53356i | ||||||
\(26\) | 1.99413i | 0.391082i | ||||||||
\(27\) | 2.69049 | + | 2.69049i | 0.517784 | + | 0.517784i | ||||
\(28\) | 0.370181 | + | 0.370181i | 0.0699577 | + | 0.0699577i | ||||
\(29\) | −6.38622 | + | 6.38622i | −1.18589 | + | 1.18589i | −0.207699 | + | 0.978193i | \(0.566597\pi\) |
−0.978193 | + | 0.207699i | \(0.933403\pi\) | |||||||
\(30\) | 16.8099 | 3.06906 | ||||||||
\(31\) | 0.763808 | − | 0.763808i | 0.137184 | − | 0.137184i | −0.635180 | − | 0.772364i | \(-0.719074\pi\) |
0.772364 | + | 0.635180i | \(0.219074\pi\) | |||||||
\(32\) | 0.912300i | 0.161273i | ||||||||
\(33\) | −3.51215 | −0.611387 | ||||||||
\(34\) | −1.95618 | + | 5.73773i | −0.335482 | + | 0.984013i | ||||
\(35\) | −13.6119 | −2.30084 | ||||||||
\(36\) | 0.711112i | 0.118519i | ||||||||
\(37\) | 4.64772 | − | 4.64772i | 0.764080 | − | 0.764080i | −0.212977 | − | 0.977057i | \(-0.568316\pi\) |
0.977057 | + | 0.212977i | \(0.0683161\pi\) | |||||||
\(38\) | 1.20179 | 0.194956 | ||||||||
\(39\) | 2.60872 | − | 2.60872i | 0.417729 | − | 0.417729i | ||||
\(40\) | −8.03333 | − | 8.03333i | −1.27018 | − | 1.27018i | ||||
\(41\) | −4.87568 | − | 4.87568i | −0.761453 | − | 0.761453i | 0.215132 | − | 0.976585i | \(-0.430982\pi\) |
−0.976585 | + | 0.215132i | \(0.930982\pi\) | |||||||
\(42\) | − | 12.9510i | − | 1.99839i | ||||||
\(43\) | 1.00000i | 0.152499i | ||||||||
\(44\) | −0.147597 | − | 0.147597i | −0.0222511 | − | 0.0222511i | ||||
\(45\) | −13.0741 | − | 13.0741i | −1.94898 | − | 1.94898i | ||||
\(46\) | 5.10778 | − | 5.10778i | 0.753101 | − | 0.753101i | ||||
\(47\) | −3.17925 | −0.463741 | −0.231870 | − | 0.972747i | \(-0.574485\pi\) | ||||
−0.231870 | + | 0.972747i | \(0.574485\pi\) | |||||||
\(48\) | 8.26515 | − | 8.26515i | 1.19297 | − | 1.19297i | ||||
\(49\) | 3.48715i | 0.498165i | ||||||||
\(50\) | −18.6249 | −2.63396 | ||||||||
\(51\) | 10.0651 | − | 4.94701i | 1.40940 | − | 0.692720i | ||||
\(52\) | 0.219261 | 0.0304060 | ||||||||
\(53\) | − | 9.91351i | − | 1.36173i | −0.732411 | − | 0.680863i | \(-0.761605\pi\) | ||
0.732411 | − | 0.680863i | \(-0.238395\pi\) | |||||||
\(54\) | 3.95571 | − | 3.95571i | 0.538304 | − | 0.538304i | ||||
\(55\) | 5.42729 | 0.731815 | ||||||||
\(56\) | −6.18918 | + | 6.18918i | −0.827065 | + | 0.827065i | ||||
\(57\) | −1.57218 | − | 1.57218i | −0.208240 | − | 0.208240i | ||||
\(58\) | 9.38940 | + | 9.38940i | 1.23289 | + | 1.23289i | ||||
\(59\) | 7.73520i | 1.00704i | 0.863985 | + | 0.503518i | \(0.167961\pi\) | ||||
−0.863985 | + | 0.503518i | \(0.832039\pi\) | |||||||
\(60\) | − | 1.84830i | − | 0.238615i | ||||||
\(61\) | 0.831706 | + | 0.831706i | 0.106489 | + | 0.106489i | 0.758344 | − | 0.651855i | \(-0.226009\pi\) |
−0.651855 | + | 0.758344i | \(0.726009\pi\) | |||||||
\(62\) | −1.12299 | − | 1.12299i | −0.142620 | − | 0.142620i | ||||
\(63\) | −10.0728 | + | 10.0728i | −1.26906 | + | 1.26906i | ||||
\(64\) | −7.25305 | −0.906632 | ||||||||
\(65\) | −4.03122 | + | 4.03122i | −0.500012 | + | 0.500012i | ||||
\(66\) | 5.16377i | 0.635616i | ||||||||
\(67\) | −3.55978 | −0.434896 | −0.217448 | − | 0.976072i | \(-0.569773\pi\) | ||||
−0.217448 | + | 0.976072i | \(0.569773\pi\) | |||||||
\(68\) | 0.630881 | + | 0.215088i | 0.0765055 | + | 0.0260832i | ||||
\(69\) | −13.3640 | −1.60883 | ||||||||
\(70\) | 20.0131i | 2.39202i | ||||||||
\(71\) | 3.04237 | − | 3.04237i | 0.361063 | − | 0.361063i | −0.503142 | − | 0.864204i | \(-0.667823\pi\) |
0.864204 | + | 0.503142i | \(0.167823\pi\) | |||||||
\(72\) | −11.8893 | −1.40117 | ||||||||
\(73\) | 5.17099 | − | 5.17099i | 0.605219 | − | 0.605219i | −0.336474 | − | 0.941693i | \(-0.609234\pi\) |
0.941693 | + | 0.336474i | \(0.109234\pi\) | |||||||
\(74\) | −6.83334 | − | 6.83334i | −0.794360 | − | 0.794360i | ||||
\(75\) | 24.3651 | + | 24.3651i | 2.81344 | + | 2.81344i | ||||
\(76\) | − | 0.132140i | − | 0.0151575i | ||||||
\(77\) | − | 4.18139i | − | 0.476513i | ||||||
\(78\) | −3.83549 | − | 3.83549i | −0.434284 | − | 0.434284i | ||||
\(79\) | 2.80138 | + | 2.80138i | 0.315180 | + | 0.315180i | 0.846912 | − | 0.531732i | \(-0.178459\pi\) |
−0.531732 | + | 0.846912i | \(0.678459\pi\) | |||||||
\(80\) | −12.7720 | + | 12.7720i | −1.42796 | + | 1.42796i | ||||
\(81\) | 2.84680 | 0.316311 | ||||||||
\(82\) | −7.16851 | + | 7.16851i | −0.791629 | + | 0.791629i | ||||
\(83\) | − | 15.4276i | − | 1.69339i | −0.532075 | − | 0.846697i | \(-0.678588\pi\) | ||
0.532075 | − | 0.846697i | \(-0.321412\pi\) | |||||||
\(84\) | −1.42400 | −0.155372 | ||||||||
\(85\) | −15.5536 | + | 7.64456i | −1.68702 | + | 0.829169i | ||||
\(86\) | 1.47026 | 0.158542 | ||||||||
\(87\) | − | 24.5663i | − | 2.63379i | ||||||
\(88\) | 2.46772 | − | 2.46772i | 0.263060 | − | 0.263060i | ||||
\(89\) | 18.0817 | 1.91666 | 0.958330 | − | 0.285663i | \(-0.0922137\pi\) | ||||
0.958330 | + | 0.285663i | \(0.0922137\pi\) | |||||||
\(90\) | −19.2224 | + | 19.2224i | −2.02622 | + | 2.02622i | ||||
\(91\) | 3.10581 | + | 3.10581i | 0.325577 | + | 0.325577i | ||||
\(92\) | −0.561616 | − | 0.561616i | −0.0585525 | − | 0.0585525i | ||||
\(93\) | 2.93819i | 0.304677i | ||||||||
\(94\) | 4.67431i | 0.482119i | ||||||||
\(95\) | 2.42947 | + | 2.42947i | 0.249258 | + | 0.249258i | ||||
\(96\) | −1.75471 | − | 1.75471i | −0.179089 | − | 0.179089i | ||||
\(97\) | 5.23314 | − | 5.23314i | 0.531345 | − | 0.531345i | −0.389628 | − | 0.920972i | \(-0.627396\pi\) |
0.920972 | + | 0.389628i | \(0.127396\pi\) | |||||||
\(98\) | 5.12702 | 0.517907 | ||||||||
\(99\) | 4.01619 | − | 4.01619i | 0.403642 | − | 0.403642i | ||||
\(100\) | 2.04787i | 0.204787i | ||||||||
\(101\) | −8.69769 | −0.865453 | −0.432726 | − | 0.901525i | \(-0.642448\pi\) | ||||
−0.432726 | + | 0.901525i | \(0.642448\pi\) | |||||||
\(102\) | −7.27338 | − | 14.7984i | −0.720172 | − | 1.46526i | ||||
\(103\) | 1.02408 | 0.100905 | 0.0504527 | − | 0.998726i | \(-0.483934\pi\) | ||||
0.0504527 | + | 0.998726i | \(0.483934\pi\) | |||||||
\(104\) | 3.66590i | 0.359471i | ||||||||
\(105\) | 26.1810 | − | 26.1810i | 2.55501 | − | 2.55501i | ||||
\(106\) | −14.5754 | −1.41569 | ||||||||
\(107\) | −5.91535 | + | 5.91535i | −0.571859 | + | 0.571859i | −0.932648 | − | 0.360789i | \(-0.882508\pi\) |
0.360789 | + | 0.932648i | \(0.382508\pi\) | |||||||
\(108\) | −0.434942 | − | 0.434942i | −0.0418523 | − | 0.0418523i | ||||
\(109\) | 3.40306 | + | 3.40306i | 0.325954 | + | 0.325954i | 0.851046 | − | 0.525092i | \(-0.175969\pi\) |
−0.525092 | + | 0.851046i | \(0.675969\pi\) | |||||||
\(110\) | − | 7.97952i | − | 0.760817i | ||||||
\(111\) | 17.8787i | 1.69697i | ||||||||
\(112\) | 9.84006 | + | 9.84006i | 0.929799 | + | 0.929799i | ||||
\(113\) | 11.3023 | + | 11.3023i | 1.06323 | + | 1.06323i | 0.997861 | + | 0.0653653i | \(0.0208213\pi\) |
0.0653653 | + | 0.997861i | \(0.479179\pi\) | |||||||
\(114\) | −2.31150 | + | 2.31150i | −0.216492 | + | 0.216492i | ||||
\(115\) | 20.6512 | 1.92573 | ||||||||
\(116\) | 1.03239 | − | 1.03239i | 0.0958552 | − | 0.0958552i | ||||
\(117\) | 5.96620i | 0.551575i | ||||||||
\(118\) | 11.3727 | 1.04695 | ||||||||
\(119\) | 5.88966 | + | 11.9831i | 0.539904 | + | 1.09848i | ||||
\(120\) | 30.9024 | 2.82099 | ||||||||
\(121\) | − | 9.33282i | − | 0.848438i | ||||||
\(122\) | 1.22282 | − | 1.22282i | 0.110709 | − | 0.110709i | ||||
\(123\) | 18.7556 | 1.69114 | ||||||||
\(124\) | −0.123477 | + | 0.123477i | −0.0110885 | + | 0.0110885i | ||||
\(125\) | −22.7901 | − | 22.7901i | −2.03841 | − | 2.03841i | ||||
\(126\) | 14.8096 | + | 14.8096i | 1.31935 | + | 1.31935i | ||||
\(127\) | − | 20.1385i | − | 1.78700i | −0.449062 | − | 0.893501i | \(-0.648242\pi\) | ||
0.449062 | − | 0.893501i | \(-0.351758\pi\) | |||||||
\(128\) | 12.4885i | 1.10383i | ||||||||
\(129\) | −1.92339 | − | 1.92339i | −0.169345 | − | 0.169345i | ||||
\(130\) | 5.92694 | + | 5.92694i | 0.519827 | + | 0.519827i | ||||
\(131\) | 9.03788 | − | 9.03788i | 0.789644 | − | 0.789644i | −0.191792 | − | 0.981436i | \(-0.561430\pi\) |
0.981436 | + | 0.191792i | \(0.0614299\pi\) | |||||||
\(132\) | 0.567772 | 0.0494182 | ||||||||
\(133\) | 1.87175 | − | 1.87175i | 0.162302 | − | 0.162302i | ||||
\(134\) | 5.23379i | 0.452131i | ||||||||
\(135\) | 15.9933 | 1.37648 | ||||||||
\(136\) | −3.59613 | + | 10.5479i | −0.308365 | + | 0.904475i | ||||
\(137\) | −2.27416 | −0.194295 | −0.0971474 | − | 0.995270i | \(-0.530972\pi\) | ||||
−0.0971474 | + | 0.995270i | \(0.530972\pi\) | |||||||
\(138\) | 19.6485i | 1.67259i | ||||||||
\(139\) | −2.33995 | + | 2.33995i | −0.198472 | + | 0.198472i | −0.799345 | − | 0.600873i | \(-0.794820\pi\) |
0.600873 | + | 0.799345i | \(0.294820\pi\) | |||||||
\(140\) | 2.20050 | 0.185976 | ||||||||
\(141\) | 6.11492 | − | 6.11492i | 0.514969 | − | 0.514969i | ||||
\(142\) | −4.47306 | − | 4.47306i | −0.375371 | − | 0.375371i | ||||
\(143\) | −1.23833 | − | 1.23833i | −0.103555 | − | 0.103555i | ||||
\(144\) | 18.9026i | 1.57521i | ||||||||
\(145\) | 37.9621i | 3.15258i | ||||||||
\(146\) | −7.60270 | − | 7.60270i | −0.629204 | − | 0.629204i | ||||
\(147\) | −6.70714 | − | 6.70714i | −0.553196 | − | 0.553196i | ||||
\(148\) | −0.751346 | + | 0.751346i | −0.0617603 | + | 0.0617603i | ||||
\(149\) | 5.35347 | 0.438573 | 0.219287 | − | 0.975660i | \(-0.429627\pi\) | ||||
0.219287 | + | 0.975660i | \(0.429627\pi\) | |||||||
\(150\) | 35.8229 | − | 35.8229i | 2.92493 | − | 2.92493i | ||||
\(151\) | 21.6820i | 1.76445i | 0.470824 | + | 0.882227i | \(0.343957\pi\) | ||||
−0.470824 | + | 0.882227i | \(0.656043\pi\) | |||||||
\(152\) | 2.20930 | 0.179198 | ||||||||
\(153\) | −5.85265 | + | 17.1666i | −0.473158 | + | 1.38784i | ||||
\(154\) | −6.14772 | −0.495398 | ||||||||
\(155\) | − | 4.54036i | − | 0.364690i | ||||||
\(156\) | −0.421724 | + | 0.421724i | −0.0337649 | + | 0.0337649i | ||||
\(157\) | −8.65805 | −0.690988 | −0.345494 | − | 0.938421i | \(-0.612289\pi\) | ||||
−0.345494 | + | 0.938421i | \(0.612289\pi\) | |||||||
\(158\) | 4.11876 | − | 4.11876i | 0.327671 | − | 0.327671i | ||||
\(159\) | 19.0675 | + | 19.0675i | 1.51215 | + | 1.51215i | ||||
\(160\) | 2.71153 | + | 2.71153i | 0.214365 | + | 0.214365i | ||||
\(161\) | − | 15.9104i | − | 1.25392i | ||||||
\(162\) | − | 4.18552i | − | 0.328846i | ||||||
\(163\) | 7.87820 | + | 7.87820i | 0.617068 | + | 0.617068i | 0.944778 | − | 0.327710i | \(-0.106277\pi\) |
−0.327710 | + | 0.944778i | \(0.606277\pi\) | |||||||
\(164\) | 0.788199 | + | 0.788199i | 0.0615480 | + | 0.0615480i | ||||
\(165\) | −10.4388 | + | 10.4388i | −0.812657 | + | 0.812657i | ||||
\(166\) | −22.6825 | −1.76050 | ||||||||
\(167\) | −0.544219 | + | 0.544219i | −0.0421129 | + | 0.0421129i | −0.727850 | − | 0.685737i | \(-0.759480\pi\) |
0.685737 | + | 0.727850i | \(0.259480\pi\) | |||||||
\(168\) | − | 23.8084i | − | 1.83686i | ||||||
\(169\) | −11.1604 | −0.858493 | ||||||||
\(170\) | 11.2395 | + | 22.8677i | 0.862029 | + | 1.75388i | ||||
\(171\) | 3.59560 | 0.274963 | ||||||||
\(172\) | − | 0.161659i | − | 0.0123264i | ||||||
\(173\) | −14.8210 | + | 14.8210i | −1.12682 | + | 1.12682i | −0.136127 | + | 0.990691i | \(0.543465\pi\) |
−0.990691 | + | 0.136127i | \(0.956535\pi\) | |||||||
\(174\) | −36.1189 | −2.73816 | ||||||||
\(175\) | −29.0078 | + | 29.0078i | −2.19278 | + | 2.19278i | ||||
\(176\) | −3.92338 | − | 3.92338i | −0.295736 | − | 0.295736i | ||||
\(177\) | −14.8778 | − | 14.8778i | −1.11828 | − | 1.11828i | ||||
\(178\) | − | 26.5848i | − | 1.99262i | ||||||
\(179\) | − | 12.4339i | − | 0.929357i | −0.885479 | − | 0.464679i | \(-0.846170\pi\) | ||
0.885479 | − | 0.464679i | \(-0.153830\pi\) | |||||||
\(180\) | 2.11356 | + | 2.11356i | 0.157535 | + | 0.157535i | ||||
\(181\) | 13.7427 | + | 13.7427i | 1.02149 | + | 1.02149i | 0.999764 | + | 0.0217250i | \(0.00691584\pi\) |
0.0217250 | + | 0.999764i | \(0.493084\pi\) | |||||||
\(182\) | 4.56634 | − | 4.56634i | 0.338479 | − | 0.338479i | ||||
\(183\) | −3.19938 | −0.236505 | ||||||||
\(184\) | 9.38984 | − | 9.38984i | 0.692228 | − | 0.692228i | ||||
\(185\) | − | 27.6278i | − | 2.03123i | ||||||
\(186\) | 4.31990 | 0.316751 | ||||||||
\(187\) | −2.34830 | − | 4.77783i | −0.171725 | − | 0.349389i | ||||
\(188\) | 0.513955 | 0.0374840 | ||||||||
\(189\) | − | 12.3218i | − | 0.896280i | ||||||
\(190\) | 3.57194 | − | 3.57194i | 0.259136 | − | 0.259136i | ||||
\(191\) | 17.7643 | 1.28538 | 0.642689 | − | 0.766128i | \(-0.277819\pi\) | ||||
0.642689 | + | 0.766128i | \(0.277819\pi\) | |||||||
\(192\) | 13.9504 | − | 13.9504i | 1.00678 | − | 1.00678i | ||||
\(193\) | 16.6413 | + | 16.6413i | 1.19787 | + | 1.19787i | 0.974803 | + | 0.223067i | \(0.0716068\pi\) |
0.223067 | + | 0.974803i | \(0.428393\pi\) | |||||||
\(194\) | −7.69407 | − | 7.69407i | −0.552402 | − | 0.552402i | ||||
\(195\) | − | 15.5072i | − | 1.11049i | ||||||
\(196\) | − | 0.563731i | − | 0.0402665i | ||||||
\(197\) | 8.01451 | + | 8.01451i | 0.571010 | + | 0.571010i | 0.932411 | − | 0.361401i | \(-0.117701\pi\) |
−0.361401 | + | 0.932411i | \(0.617701\pi\) | |||||||
\(198\) | −5.90483 | − | 5.90483i | −0.419638 | − | 0.419638i | ||||
\(199\) | 13.4150 | − | 13.4150i | 0.950967 | − | 0.950967i | −0.0478857 | − | 0.998853i | \(-0.515248\pi\) |
0.998853 | + | 0.0478857i | \(0.0152483\pi\) | |||||||
\(200\) | −34.2390 | −2.42106 | ||||||||
\(201\) | 6.84683 | − | 6.84683i | 0.482938 | − | 0.482938i | ||||
\(202\) | 12.7879i | 0.899750i | ||||||||
\(203\) | 29.2474 | 2.05277 | ||||||||
\(204\) | −1.62712 | + | 0.799730i | −0.113922 | + | 0.0559923i | ||||
\(205\) | −28.9829 | −2.02425 | ||||||||
\(206\) | − | 1.50566i | − | 0.104904i | ||||||
\(207\) | 15.2818 | − | 15.2818i | 1.06216 | − | 1.06216i | ||||
\(208\) | 5.82834 | 0.404122 | ||||||||
\(209\) | −0.746297 | + | 0.746297i | −0.0516224 | + | 0.0516224i | ||||
\(210\) | −38.4929 | − | 38.4929i | −2.65626 | − | 2.65626i | ||||
\(211\) | 19.6206 | + | 19.6206i | 1.35074 | + | 1.35074i | 0.884840 | + | 0.465896i | \(0.154268\pi\) |
0.465896 | + | 0.884840i | \(0.345732\pi\) | |||||||
\(212\) | 1.60261i | 0.110068i | ||||||||
\(213\) | 11.7033i | 0.801896i | ||||||||
\(214\) | 8.69710 | + | 8.69710i | 0.594521 | + | 0.594521i | ||||
\(215\) | 2.97219 | + | 2.97219i | 0.202702 | + | 0.202702i | ||||
\(216\) | 7.27194 | − | 7.27194i | 0.494793 | − | 0.494793i | ||||
\(217\) | −3.49806 | −0.237464 | ||||||||
\(218\) | 5.00338 | − | 5.00338i | 0.338872 | − | 0.338872i | ||||
\(219\) | 19.8916i | 1.34415i | ||||||||
\(220\) | −0.877372 | −0.0591524 | ||||||||
\(221\) | 5.29306 | + | 1.80458i | 0.356050 | + | 0.121389i | ||||
\(222\) | 26.2863 | 1.76422 | ||||||||
\(223\) | − | 12.4157i | − | 0.831416i | −0.909498 | − | 0.415708i | \(-0.863534\pi\) | ||
0.909498 | − | 0.415708i | \(-0.136466\pi\) | |||||||
\(224\) | 2.08906 | − | 2.08906i | 0.139581 | − | 0.139581i | ||||
\(225\) | −55.7235 | −3.71490 | ||||||||
\(226\) | 16.6172 | − | 16.6172i | 1.10536 | − | 1.10536i | ||||
\(227\) | −8.67542 | − | 8.67542i | −0.575808 | − | 0.575808i | 0.357938 | − | 0.933745i | \(-0.383480\pi\) |
−0.933745 | + | 0.357938i | \(0.883480\pi\) | |||||||
\(228\) | 0.254157 | + | 0.254157i | 0.0168320 | + | 0.0168320i | ||||
\(229\) | − | 20.9191i | − | 1.38237i | −0.722677 | − | 0.691186i | \(-0.757088\pi\) | ||
0.722677 | − | 0.691186i | \(-0.242912\pi\) | |||||||
\(230\) | − | 30.3626i | − | 2.00205i | ||||||
\(231\) | 8.04243 | + | 8.04243i | 0.529153 | + | 0.529153i | ||||
\(232\) | 17.2609 | + | 17.2609i | 1.13323 | + | 1.13323i | ||||
\(233\) | 9.79157 | − | 9.79157i | 0.641467 | − | 0.641467i | −0.309449 | − | 0.950916i | \(-0.600145\pi\) |
0.950916 | + | 0.309449i | \(0.100145\pi\) | |||||||
\(234\) | 8.77185 | 0.573434 | ||||||||
\(235\) | −9.44932 | + | 9.44932i | −0.616405 | + | 0.616405i | ||||
\(236\) | − | 1.25047i | − | 0.0813984i | ||||||
\(237\) | −10.7763 | −0.699995 | ||||||||
\(238\) | 17.6182 | − | 8.65932i | 1.14202 | − | 0.561300i | ||||
\(239\) | −23.1829 | −1.49958 | −0.749789 | − | 0.661677i | \(-0.769845\pi\) | ||||
−0.749789 | + | 0.661677i | \(0.769845\pi\) | |||||||
\(240\) | − | 49.1311i | − | 3.17140i | ||||||
\(241\) | −8.92637 | + | 8.92637i | −0.574998 | + | 0.574998i | −0.933521 | − | 0.358523i | \(-0.883280\pi\) |
0.358523 | + | 0.933521i | \(0.383280\pi\) | |||||||
\(242\) | −13.7217 | −0.882061 | ||||||||
\(243\) | −13.5469 | + | 13.5469i | −0.869037 | + | 0.869037i | ||||
\(244\) | −0.134453 | − | 0.134453i | −0.00860748 | − | 0.00860748i | ||||
\(245\) | 10.3645 | + | 10.3645i | 0.662162 | + | 0.662162i | ||||
\(246\) | − | 27.5756i | − | 1.75816i | ||||||
\(247\) | − | 1.10865i | − | 0.0705418i | ||||||
\(248\) | −2.06445 | − | 2.06445i | −0.131092 | − | 0.131092i | ||||
\(249\) | 29.6732 | + | 29.6732i | 1.88046 | + | 1.88046i | ||||
\(250\) | −33.5074 | + | 33.5074i | −2.11919 | + | 2.11919i | ||||
\(251\) | −4.25300 | −0.268447 | −0.134224 | − | 0.990951i | \(-0.542854\pi\) | ||||
−0.134224 | + | 0.990951i | \(0.542854\pi\) | |||||||
\(252\) | 1.62836 | − | 1.62836i | 0.102577 | − | 0.102577i | ||||
\(253\) | 6.34374i | 0.398827i | ||||||||
\(254\) | −29.6088 | −1.85782 | ||||||||
\(255\) | 15.2121 | − | 44.6189i | 0.952616 | − | 2.79415i | ||||
\(256\) | 3.85516 | 0.240947 | ||||||||
\(257\) | − | 7.16627i | − | 0.447020i | −0.974702 | − | 0.223510i | \(-0.928249\pi\) | ||
0.974702 | − | 0.223510i | \(-0.0717515\pi\) | |||||||
\(258\) | −2.82787 | + | 2.82787i | −0.176056 | + | 0.176056i | ||||
\(259\) | −21.2855 | −1.32261 | ||||||||
\(260\) | 0.651685 | − | 0.651685i | 0.0404158 | − | 0.0404158i | ||||
\(261\) | 28.0919 | + | 28.0919i | 1.73884 | + | 1.73884i | ||||
\(262\) | −13.2880 | − | 13.2880i | −0.820937 | − | 0.820937i | ||||
\(263\) | 11.9151i | 0.734718i | 0.930079 | + | 0.367359i | \(0.119738\pi\) | ||||
−0.930079 | + | 0.367359i | \(0.880262\pi\) | |||||||
\(264\) | 9.49277i | 0.584239i | ||||||||
\(265\) | −29.4648 | − | 29.4648i | −1.81001 | − | 1.81001i | ||||
\(266\) | −2.75196 | − | 2.75196i | −0.168734 | − | 0.168734i | ||||
\(267\) | −34.7782 | + | 34.7782i | −2.12839 | + | 2.12839i | ||||
\(268\) | 0.575471 | 0.0351525 | ||||||||
\(269\) | 20.0497 | − | 20.0497i | 1.22245 | − | 1.22245i | 0.255693 | − | 0.966758i | \(-0.417697\pi\) |
0.966758 | − | 0.255693i | \(-0.0823035\pi\) | |||||||
\(270\) | − | 23.5142i | − | 1.43103i | ||||||
\(271\) | 9.04280 | 0.549311 | 0.274655 | − | 0.961543i | \(-0.411436\pi\) | ||||
0.274655 | + | 0.961543i | \(0.411436\pi\) | |||||||
\(272\) | 16.7699 | + | 5.71741i | 1.01682 | + | 0.346669i | ||||
\(273\) | −11.9473 | −0.723085 | ||||||||
\(274\) | 3.34361i | 0.201995i | ||||||||
\(275\) | 11.5659 | − | 11.5659i | 0.697447 | − | 0.697447i | ||||
\(276\) | 2.16041 | 0.130041 | ||||||||
\(277\) | 15.1054 | − | 15.1054i | 0.907598 | − | 0.907598i | −0.0884795 | − | 0.996078i | \(-0.528201\pi\) |
0.996078 | + | 0.0884795i | \(0.0282008\pi\) | |||||||
\(278\) | 3.44034 | + | 3.44034i | 0.206338 | + | 0.206338i | ||||
\(279\) | −3.35986 | − | 3.35986i | −0.201149 | − | 0.201149i | ||||
\(280\) | 36.7908i | 2.19867i | ||||||||
\(281\) | − | 5.57038i | − | 0.332301i | −0.986100 | − | 0.166151i | \(-0.946866\pi\) | ||
0.986100 | − | 0.166151i | \(-0.0531338\pi\) | |||||||
\(282\) | −8.99051 | − | 8.99051i | −0.535377 | − | 0.535377i | ||||
\(283\) | −4.24562 | − | 4.24562i | −0.252376 | − | 0.252376i | 0.569568 | − | 0.821944i | \(-0.307110\pi\) |
−0.821944 | + | 0.569568i | \(0.807110\pi\) | |||||||
\(284\) | −0.491827 | + | 0.491827i | −0.0291846 | + | 0.0291846i | ||||
\(285\) | −9.34560 | −0.553586 | ||||||||
\(286\) | −1.82067 | + | 1.82067i | −0.107658 | + | 0.107658i | ||||
\(287\) | 22.3295i | 1.31807i | ||||||||
\(288\) | 4.01305 | 0.236471 | ||||||||
\(289\) | 13.4595 | + | 10.3847i | 0.791737 | + | 0.610862i | ||||
\(290\) | 55.8141 | 3.27752 | ||||||||
\(291\) | 20.1307i | 1.18008i | ||||||||
\(292\) | −0.835939 | + | 0.835939i | −0.0489197 | + | 0.0489197i | ||||
\(293\) | −10.9243 | −0.638202 | −0.319101 | − | 0.947721i | \(-0.603381\pi\) | ||||
−0.319101 | + | 0.947721i | \(0.603381\pi\) | |||||||
\(294\) | −9.86123 | + | 9.86123i | −0.575119 | + | 0.575119i | ||||
\(295\) | 22.9905 | + | 22.9905i | 1.33856 | + | 1.33856i | ||||
\(296\) | −12.5620 | − | 12.5620i | −0.730152 | − | 0.730152i | ||||
\(297\) | 4.91290i | 0.285075i | ||||||||
\(298\) | − | 7.87098i | − | 0.455954i | ||||||
\(299\) | −4.71193 | − | 4.71193i | −0.272498 | − | 0.272498i | ||||
\(300\) | −3.93884 | − | 3.93884i | −0.227409 | − | 0.227409i | ||||
\(301\) | 2.28989 | − | 2.28989i | 0.131987 | − | 0.131987i | ||||
\(302\) | 31.8781 | 1.83438 | ||||||||
\(303\) | 16.7290 | − | 16.7290i | 0.961057 | − | 0.961057i | ||||
\(304\) | − | 3.51252i | − | 0.201457i | ||||||
\(305\) | 4.94397 | 0.283091 | ||||||||
\(306\) | 25.2393 | + | 8.60490i | 1.44283 | + | 0.491910i | ||||
\(307\) | 5.22362 | 0.298128 | 0.149064 | − | 0.988828i | \(-0.452374\pi\) | ||||
0.149064 | + | 0.988828i | \(0.452374\pi\) | |||||||
\(308\) | 0.675960i | 0.0385164i | ||||||||
\(309\) | −1.96970 | + | 1.96970i | −0.112052 | + | 0.112052i | ||||
\(310\) | −6.67550 | −0.379143 | ||||||||
\(311\) | −4.74739 | + | 4.74739i | −0.269200 | + | 0.269200i | −0.828778 | − | 0.559578i | \(-0.810963\pi\) |
0.559578 | + | 0.828778i | \(0.310963\pi\) | |||||||
\(312\) | −7.05093 | − | 7.05093i | −0.399181 | − | 0.399181i | ||||
\(313\) | −1.23502 | − | 1.23502i | −0.0698075 | − | 0.0698075i | 0.671341 | − | 0.741149i | \(-0.265719\pi\) |
−0.741149 | + | 0.671341i | \(0.765719\pi\) | |||||||
\(314\) | 12.7296i | 0.718371i | ||||||||
\(315\) | 59.8766i | 3.37366i | ||||||||
\(316\) | −0.452870 | − | 0.452870i | −0.0254759 | − | 0.0254759i | ||||
\(317\) | −10.6869 | − | 10.6869i | −0.600234 | − | 0.600234i | 0.340141 | − | 0.940375i | \(-0.389525\pi\) |
−0.940375 | + | 0.340141i | \(0.889525\pi\) | |||||||
\(318\) | 28.0342 | − | 28.0342i | 1.57208 | − | 1.57208i | ||||
\(319\) | −11.6614 | −0.652913 | ||||||||
\(320\) | −21.5574 | + | 21.5574i | −1.20510 | + | 1.20510i | ||||
\(321\) | − | 22.7550i | − | 1.27006i | ||||||
\(322\) | −23.3925 | −1.30361 | ||||||||
\(323\) | 1.08755 | − | 3.18993i | 0.0605130 | − | 0.177493i | ||||
\(324\) | −0.460211 | −0.0255673 | ||||||||
\(325\) | 17.1815i | 0.953059i | ||||||||
\(326\) | 11.5830 | − | 11.5830i | 0.641522 | − | 0.641522i | ||||
\(327\) | −13.0908 | −0.723923 | ||||||||
\(328\) | −13.1782 | + | 13.1782i | −0.727642 | + | 0.727642i | ||||
\(329\) | 7.28011 | + | 7.28011i | 0.401365 | + | 0.401365i | ||||
\(330\) | 15.3477 | + | 15.3477i | 0.844863 | + | 0.844863i | ||||
\(331\) | − | 7.29874i | − | 0.401175i | −0.979676 | − | 0.200587i | \(-0.935715\pi\) | ||
0.979676 | − | 0.200587i | \(-0.0642851\pi\) | |||||||
\(332\) | 2.49401i | 0.136877i | ||||||||
\(333\) | −20.4445 | − | 20.4445i | −1.12035 | − | 1.12035i | ||||
\(334\) | 0.800143 | + | 0.800143i | 0.0437819 | + | 0.0437819i | ||||
\(335\) | −10.5803 | + | 10.5803i | −0.578065 | + | 0.578065i | ||||
\(336\) | −37.8525 | −2.06502 | ||||||||
\(337\) | 7.33362 | − | 7.33362i | 0.399487 | − | 0.399487i | −0.478565 | − | 0.878052i | \(-0.658843\pi\) |
0.878052 | + | 0.478565i | \(0.158843\pi\) | |||||||
\(338\) | 16.4087i | 0.892515i | ||||||||
\(339\) | −43.4772 | −2.36136 | ||||||||
\(340\) | 2.51438 | − | 1.23581i | 0.136361 | − | 0.0670215i | ||||
\(341\) | 1.39473 | 0.0755290 | ||||||||
\(342\) | − | 5.28646i | − | 0.285859i | ||||||
\(343\) | −8.04402 | + | 8.04402i | −0.434336 | + | 0.434336i | ||||
\(344\) | 2.70284 | 0.145727 | ||||||||
\(345\) | −39.7202 | + | 39.7202i | −2.13846 | + | 2.13846i | ||||
\(346\) | 21.7907 | + | 21.7907i | 1.17147 | + | 1.17147i | ||||
\(347\) | 23.0790 | + | 23.0790i | 1.23895 | + | 1.23895i | 0.960432 | + | 0.278513i | \(0.0898417\pi\) |
0.278513 | + | 0.960432i | \(0.410158\pi\) | |||||||
\(348\) | 3.97138i | 0.212888i | ||||||||
\(349\) | 26.0155i | 1.39258i | 0.717762 | + | 0.696289i | \(0.245167\pi\) | ||||
−0.717762 | + | 0.696289i | \(0.754833\pi\) | |||||||
\(350\) | 42.6490 | + | 42.6490i | 2.27968 | + | 2.27968i | ||||
\(351\) | −3.64915 | − | 3.64915i | −0.194777 | − | 0.194777i | ||||
\(352\) | −0.832942 | + | 0.832942i | −0.0443959 | + | 0.0443959i | ||||
\(353\) | −6.51294 | −0.346649 | −0.173324 | − | 0.984865i | \(-0.555451\pi\) | ||||
−0.173324 | + | 0.984865i | \(0.555451\pi\) | |||||||
\(354\) | −21.8742 | + | 21.8742i | −1.16260 | + | 1.16260i | ||||
\(355\) | − | 18.0850i | − | 0.959850i | ||||||
\(356\) | −2.92308 | −0.154923 | ||||||||
\(357\) | −34.3761 | − | 11.7199i | −1.81938 | − | 0.620285i | ||||
\(358\) | −18.2811 | −0.966187 | ||||||||
\(359\) | 4.95878i | 0.261714i | 0.991401 | + | 0.130857i | \(0.0417729\pi\) | ||||
−0.991401 | + | 0.130857i | \(0.958227\pi\) | |||||||
\(360\) | −35.3373 | + | 35.3373i | −1.86244 | + | 1.86244i | ||||
\(361\) | 18.3319 | 0.964835 | ||||||||
\(362\) | 20.2054 | − | 20.2054i | 1.06197 | − | 1.06197i | ||||
\(363\) | 17.9506 | + | 17.9506i | 0.942163 | + | 0.942163i | ||||
\(364\) | −0.502083 | − | 0.502083i | −0.0263163 | − | 0.0263163i | ||||
\(365\) | − | 30.7383i | − | 1.60892i | ||||||
\(366\) | 4.70392i | 0.245878i | ||||||||
\(367\) | −8.91874 | − | 8.91874i | −0.465554 | − | 0.465554i | 0.434916 | − | 0.900471i | \(-0.356778\pi\) |
−0.900471 | + | 0.434916i | \(0.856778\pi\) | |||||||
\(368\) | −14.9287 | − | 14.9287i | −0.778213 | − | 0.778213i | ||||
\(369\) | −21.4473 | + | 21.4473i | −1.11650 | + | 1.11650i | ||||
\(370\) | −40.6199 | −2.11173 | ||||||||
\(371\) | −22.7008 | + | 22.7008i | −1.17857 | + | 1.17857i | ||||
\(372\) | − | 0.474986i | − | 0.0246269i | ||||||
\(373\) | 11.9670 | 0.619630 | 0.309815 | − | 0.950797i | \(-0.399733\pi\) | ||||
0.309815 | + | 0.950797i | \(0.399733\pi\) | |||||||
\(374\) | −7.02464 | + | 3.45260i | −0.363235 | + | 0.178530i | ||||
\(375\) | 87.6684 | 4.52718 | ||||||||
\(376\) | 8.59298i | 0.443149i | ||||||||
\(377\) | 8.66173 | − | 8.66173i | 0.446102 | − | 0.446102i | ||||
\(378\) | −18.1162 | −0.931799 | ||||||||
\(379\) | −10.9563 | + | 10.9563i | −0.562788 | + | 0.562788i | −0.930098 | − | 0.367310i | \(-0.880279\pi\) |
0.367310 | + | 0.930098i | \(0.380279\pi\) | |||||||
\(380\) | −0.392746 | − | 0.392746i | −0.0201474 | − | 0.0201474i | ||||
\(381\) | 38.7341 | + | 38.7341i | 1.98441 | + | 1.98441i | ||||
\(382\) | − | 26.1181i | − | 1.33632i | ||||||
\(383\) | 2.27975i | 0.116490i | 0.998302 | + | 0.0582448i | \(0.0185504\pi\) | ||||
−0.998302 | + | 0.0582448i | \(0.981450\pi\) | |||||||
\(384\) | −24.0201 | − | 24.0201i | −1.22577 | − | 1.22577i | ||||
\(385\) | −12.4279 | − | 12.4279i | −0.633383 | − | 0.633383i | ||||
\(386\) | 24.4671 | − | 24.4671i | 1.24534 | − | 1.24534i | ||||
\(387\) | 4.39883 | 0.223605 | ||||||||
\(388\) | −0.845986 | + | 0.845986i | −0.0429484 | + | 0.0429484i | ||||
\(389\) | − | 8.35299i | − | 0.423514i | −0.977322 | − | 0.211757i | \(-0.932082\pi\) | ||
0.977322 | − | 0.211757i | \(-0.0679185\pi\) | |||||||
\(390\) | −22.7996 | −1.15450 | ||||||||
\(391\) | −8.93542 | − | 18.1799i | −0.451884 | − | 0.919399i | ||||
\(392\) | 9.42520 | 0.476045 | ||||||||
\(393\) | 34.7667i | 1.75375i | ||||||||
\(394\) | 11.7834 | − | 11.7834i | 0.593639 | − | 0.593639i | ||||
\(395\) | 16.6525 | 0.837877 | ||||||||
\(396\) | −0.649254 | + | 0.649254i | −0.0326262 | + | 0.0326262i | ||||
\(397\) | 25.2836 | + | 25.2836i | 1.26895 | + | 1.26895i | 0.946633 | + | 0.322313i | \(0.104460\pi\) |
0.322313 | + | 0.946633i | \(0.395540\pi\) | |||||||
\(398\) | −19.7236 | − | 19.7236i | −0.988654 | − | 0.988654i | ||||
\(399\) | 7.20021i | 0.360461i | ||||||||
\(400\) | 54.4359i | 2.72179i | ||||||||
\(401\) | 4.37041 | + | 4.37041i | 0.218248 | + | 0.218248i | 0.807760 | − | 0.589512i | \(-0.200680\pi\) |
−0.589512 | + | 0.807760i | \(0.700680\pi\) | |||||||
\(402\) | −10.0666 | − | 10.0666i | −0.502077 | − | 0.502077i | ||||
\(403\) | −1.03596 | + | 1.03596i | −0.0516050 | + | 0.0516050i | ||||
\(404\) | 1.40606 | 0.0699542 | ||||||||
\(405\) | 8.46121 | − | 8.46121i | 0.420441 | − | 0.420441i | ||||
\(406\) | − | 43.0013i | − | 2.13412i | ||||||
\(407\) | 8.48684 | 0.420677 | ||||||||
\(408\) | −13.3710 | − | 27.2044i | −0.661961 | − | 1.34682i | ||||
\(409\) | 12.2954 | 0.607971 | 0.303985 | − | 0.952677i | \(-0.401683\pi\) | ||||
0.303985 | + | 0.952677i | \(0.401683\pi\) | |||||||
\(410\) | 42.6123i | 2.10447i | ||||||||
\(411\) | 4.37409 | − | 4.37409i | 0.215758 | − | 0.215758i | ||||
\(412\) | −0.165552 | −0.00815616 | ||||||||
\(413\) | 17.7127 | − | 17.7127i | 0.871586 | − | 0.871586i | ||||
\(414\) | −22.4682 | − | 22.4682i | −1.10425 | − | 1.10425i | ||||
\(415\) | −45.8536 | − | 45.8536i | −2.25086 | − | 2.25086i | ||||
\(416\) | − | 1.23737i | − | 0.0606669i | ||||||
\(417\) | − | 9.00127i | − | 0.440794i | ||||||
\(418\) | 1.09725 | + | 1.09725i | 0.0536682 | + | 0.0536682i | ||||
\(419\) | −20.3827 | − | 20.3827i | −0.995760 | − | 0.995760i | 0.00423101 | − | 0.999991i | \(-0.498653\pi\) |
−0.999991 | + | 0.00423101i | \(0.998653\pi\) | |||||||
\(420\) | −4.23241 | + | 4.23241i | −0.206520 | + | 0.206520i | ||||
\(421\) | −25.0164 | −1.21922 | −0.609612 | − | 0.792700i | \(-0.708675\pi\) | ||||
−0.609612 | + | 0.792700i | \(0.708675\pi\) | |||||||
\(422\) | 28.8473 | − | 28.8473i | 1.40426 | − | 1.40426i | ||||
\(423\) | 13.9850i | 0.679972i | ||||||||
\(424\) | −26.7946 | −1.30126 | ||||||||
\(425\) | −16.8545 | + | 49.4365i | −0.817564 | + | 2.39802i | ||||
\(426\) | 17.2069 | 0.833675 | ||||||||
\(427\) | − | 3.80902i | − | 0.184332i | ||||||
\(428\) | 0.956272 | − | 0.956272i | 0.0462232 | − | 0.0462232i | ||||
\(429\) | 4.76358 | 0.229988 | ||||||||
\(430\) | 4.36988 | − | 4.36988i | 0.210734 | − | 0.210734i | ||||
\(431\) | −19.5830 | − | 19.5830i | −0.943281 | − | 0.943281i | 0.0551942 | − | 0.998476i | \(-0.482422\pi\) |
−0.998476 | + | 0.0551942i | \(0.982422\pi\) | |||||||
\(432\) | −11.5615 | − | 11.5615i | −0.556254 | − | 0.556254i | ||||
\(433\) | 8.03109i | 0.385949i | 0.981204 | + | 0.192975i | \(0.0618135\pi\) | ||||
−0.981204 | + | 0.192975i | \(0.938186\pi\) | |||||||
\(434\) | 5.14306i | 0.246875i | ||||||||
\(435\) | −73.0158 | − | 73.0158i | −3.50084 | − | 3.50084i | ||||
\(436\) | −0.550137 | − | 0.550137i | −0.0263468 | − | 0.0263468i | ||||
\(437\) | −2.83971 | + | 2.83971i | −0.135842 | + | 0.135842i | ||||
\(438\) | 29.2458 | 1.39742 | ||||||||
\(439\) | 13.2986 | − | 13.2986i | 0.634708 | − | 0.634708i | −0.314537 | − | 0.949245i | \(-0.601849\pi\) |
0.949245 | + | 0.314537i | \(0.101849\pi\) | |||||||
\(440\) | − | 14.6691i | − | 0.699320i | ||||||
\(441\) | 15.3394 | 0.730447 | ||||||||
\(442\) | 2.65320 | − | 7.78217i | 0.126200 | − | 0.370160i | ||||
\(443\) | 11.1117 | 0.527934 | 0.263967 | − | 0.964532i | \(-0.414969\pi\) | ||||
0.263967 | + | 0.964532i | \(0.414969\pi\) | |||||||
\(444\) | − | 2.89026i | − | 0.137166i | ||||||
\(445\) | 53.7423 | − | 53.7423i | 2.54763 | − | 2.54763i | ||||
\(446\) | −18.2543 | −0.864365 | ||||||||
\(447\) | −10.2968 | + | 10.2968i | −0.487021 | + | 0.487021i | ||||
\(448\) | 16.6087 | + | 16.6087i | 0.784686 | + | 0.784686i | ||||
\(449\) | −2.96686 | − | 2.96686i | −0.140015 | − | 0.140015i | 0.633625 | − | 0.773640i | \(-0.281566\pi\) |
−0.773640 | + | 0.633625i | \(0.781566\pi\) | |||||||
\(450\) | 81.9279i | 3.86212i | ||||||||
\(451\) | − | 8.90311i | − | 0.419231i | ||||||
\(452\) | −1.82711 | − | 1.82711i | −0.0859403 | − | 0.0859403i | ||||
\(453\) | −41.7028 | − | 41.7028i | −1.95937 | − | 1.95937i | ||||
\(454\) | −12.7551 | + | 12.7551i | −0.598627 | + | 0.598627i | ||||
\(455\) | 18.4621 | 0.865516 | ||||||||
\(456\) | −4.24933 | + | 4.24933i | −0.198993 | + | 0.198993i | ||||
\(457\) | − | 21.7030i | − | 1.01522i | −0.861586 | − | 0.507611i | \(-0.830529\pi\) | ||
0.861586 | − | 0.507611i | \(-0.169471\pi\) | |||||||
\(458\) | −30.7565 | −1.43716 | ||||||||
\(459\) | −6.92002 | − | 14.0794i | −0.322999 | − | 0.657171i | ||||
\(460\) | −3.33845 | −0.155656 | ||||||||
\(461\) | − | 23.6671i | − | 1.10229i | −0.834410 | − | 0.551144i | \(-0.814191\pi\) | ||
0.834410 | − | 0.551144i | \(-0.185809\pi\) | |||||||
\(462\) | 11.8244 | − | 11.8244i | 0.550123 | − | 0.550123i | ||||
\(463\) | 6.72203 | 0.312399 | 0.156199 | − | 0.987726i | \(-0.450076\pi\) | ||||
0.156199 | + | 0.987726i | \(0.450076\pi\) | |||||||
\(464\) | 27.4428 | − | 27.4428i | 1.27400 | − | 1.27400i | ||||
\(465\) | 8.73286 | + | 8.73286i | 0.404977 | + | 0.404977i | ||||
\(466\) | −14.3961 | − | 14.3961i | −0.666888 | − | 0.666888i | ||||
\(467\) | 8.78313i | 0.406435i | 0.979134 | + | 0.203217i | \(0.0651398\pi\) | ||||
−0.979134 | + | 0.203217i | \(0.934860\pi\) | |||||||
\(468\) | − | 0.964491i | − | 0.0445836i | ||||||
\(469\) | 8.15149 | + | 8.15149i | 0.376401 | + | 0.376401i | ||||
\(470\) | 13.8929 | + | 13.8929i | 0.640833 | + | 0.640833i | ||||
\(471\) | 16.6528 | − | 16.6528i | 0.767320 | − | 0.767320i | ||||
\(472\) | 20.9070 | 0.962321 | ||||||||
\(473\) | −0.913013 | + | 0.913013i | −0.0419804 | + | 0.0419804i | ||||
\(474\) | 15.8439i | 0.727735i | ||||||||
\(475\) | 10.3547 | 0.475104 | ||||||||
\(476\) | −0.952118 | − | 1.93717i | −0.0436403 | − | 0.0887901i | ||||
\(477\) | −43.6078 | −1.99666 | ||||||||
\(478\) | 34.0849i | 1.55901i | ||||||||
\(479\) | −19.2013 | + | 19.2013i | −0.877329 | + | 0.877329i | −0.993258 | − | 0.115929i | \(-0.963016\pi\) |
0.115929 | + | 0.993258i | \(0.463016\pi\) | |||||||
\(480\) | −10.4306 | −0.476091 | ||||||||
\(481\) | −6.30377 | + | 6.30377i | −0.287427 | + | 0.287427i | ||||
\(482\) | 13.1241 | + | 13.1241i | 0.597785 | + | 0.597785i | ||||
\(483\) | 30.6019 | + | 30.6019i | 1.39244 | + | 1.39244i | ||||
\(484\) | 1.50874i | 0.0685789i | ||||||||
\(485\) | − | 31.1077i | − | 1.41253i | ||||||
\(486\) | 19.9175 | + | 19.9175i | 0.903477 | + | 0.903477i | ||||
\(487\) | 1.12237 | + | 1.12237i | 0.0508593 | + | 0.0508593i | 0.732079 | − | 0.681220i | \(-0.238550\pi\) |
−0.681220 | + | 0.732079i | \(0.738550\pi\) | |||||||
\(488\) | 2.24797 | − | 2.24797i | 0.101761 | − | 0.101761i | ||||
\(489\) | −30.3056 | −1.37047 | ||||||||
\(490\) | 15.2385 | − | 15.2385i | 0.688403 | − | 0.688403i | ||||
\(491\) | 15.2206i | 0.686897i | 0.939172 | + | 0.343448i | \(0.111595\pi\) | ||||
−0.939172 | + | 0.343448i | \(0.888405\pi\) | |||||||
\(492\) | −3.03202 | −0.136694 | ||||||||
\(493\) | 33.4193 | − | 16.4256i | 1.50513 | − | 0.739770i | ||||
\(494\) | −1.63000 | −0.0733374 | ||||||||
\(495\) | − | 23.8737i | − | 1.07304i | ||||||
\(496\) | −3.28222 | + | 3.28222i | −0.147376 | + | 0.147376i | ||||
\(497\) | −13.9333 | −0.624996 | ||||||||
\(498\) | 43.6272 | − | 43.6272i | 1.95498 | − | 1.95498i | ||||
\(499\) | −15.6355 | − | 15.6355i | −0.699942 | − | 0.699942i | 0.264456 | − | 0.964398i | \(-0.414808\pi\) |
−0.964398 | + | 0.264456i | \(0.914808\pi\) | |||||||
\(500\) | 3.68424 | + | 3.68424i | 0.164764 | + | 0.164764i | ||||
\(501\) | − | 2.09349i | − | 0.0935301i | ||||||
\(502\) | 6.25301i | 0.279086i | ||||||||
\(503\) | −26.2035 | − | 26.2035i | −1.16835 | − | 1.16835i | −0.982595 | − | 0.185759i | \(-0.940526\pi\) |
−0.185759 | − | 0.982595i | \(-0.559474\pi\) | |||||||
\(504\) | 27.2252 | + | 27.2252i | 1.21271 | + | 1.21271i | ||||
\(505\) | −25.8512 | + | 25.8512i | −1.15036 | + | 1.15036i | ||||
\(506\) | 9.32693 | 0.414633 | ||||||||
\(507\) | 21.4658 | − | 21.4658i | 0.953329 | − | 0.953329i | ||||
\(508\) | 3.25557i | 0.144443i | ||||||||
\(509\) | −14.9145 | −0.661075 | −0.330537 | − | 0.943793i | \(-0.607230\pi\) | ||||
−0.330537 | + | 0.943793i | \(0.607230\pi\) | |||||||
\(510\) | −65.6014 | − | 22.3657i | −2.90488 | − | 0.990368i | ||||
\(511\) | −23.6820 | −1.04763 | ||||||||
\(512\) | 19.3088i | 0.853338i | ||||||||
\(513\) | −2.19920 | + | 2.19920i | −0.0970972 | + | 0.0970972i | ||||
\(514\) | −10.5363 | −0.464735 | ||||||||
\(515\) | 3.04375 | − | 3.04375i | 0.134124 | − | 0.134124i | ||||
\(516\) | 0.310933 | + | 0.310933i | 0.0136881 | + | 0.0136881i | ||||
\(517\) | −2.90269 | − | 2.90269i | −0.127660 | − | 0.127660i | ||||
\(518\) | 31.2951i | 1.37503i | ||||||||
\(519\) | − | 57.0129i | − | 2.50259i | ||||||
\(520\) | 10.8957 | + | 10.8957i | 0.477809 | + | 0.477809i | ||||
\(521\) | 10.1428 | + | 10.1428i | 0.444364 | + | 0.444364i | 0.893475 | − | 0.449112i | \(-0.148260\pi\) |
−0.449112 | + | 0.893475i | \(0.648260\pi\) | |||||||
\(522\) | 41.3023 | − | 41.3023i | 1.80775 | − | 1.80775i | ||||
\(523\) | 5.55041 | 0.242703 | 0.121351 | − | 0.992610i | \(-0.461277\pi\) | ||||
0.121351 | + | 0.992610i | \(0.461277\pi\) | |||||||
\(524\) | −1.46106 | + | 1.46106i | −0.0638266 | + | 0.0638266i | ||||
\(525\) | − | 111.586i | − | 4.87003i | ||||||
\(526\) | 17.5183 | 0.763835 | ||||||||
\(527\) | −3.99703 | + | 1.96454i | −0.174113 | + | 0.0855766i | ||||
\(528\) | 15.0924 | 0.656811 | ||||||||
\(529\) | 1.13833i | 0.0494924i | ||||||||
\(530\) | −43.3209 | + | 43.3209i | −1.88174 | + | 1.88174i | ||||
\(531\) | 34.0258 | 1.47659 | ||||||||
\(532\) | −0.302586 | + | 0.302586i | −0.0131188 | + | 0.0131188i | ||||
\(533\) | 6.61296 | + | 6.61296i | 0.286439 | + | 0.286439i | ||||
\(534\) | 51.1329 | + | 51.1329i | 2.21274 | + | 2.21274i | ||||
\(535\) | 35.1631i | 1.52023i | ||||||||
\(536\) | 9.62150i | 0.415585i | ||||||||
\(537\) | 23.9153 | + | 23.9153i | 1.03202 | + | 1.03202i | ||||
\(538\) | −29.4782 | − | 29.4782i | −1.27090 | − | 1.27090i | ||||
\(539\) | −3.18381 | + | 3.18381i | −0.137137 | + | 0.137137i | ||||
\(540\) | −2.58546 | −0.111260 | ||||||||
\(541\) | 29.3762 | − | 29.3762i | 1.26298 | − | 1.26298i | 0.313340 | − | 0.949641i | \(-0.398552\pi\) |
0.949641 | − | 0.313340i | \(-0.101448\pi\) | |||||||
\(542\) | − | 13.2952i | − | 0.571080i | ||||||
\(543\) | −52.8651 | −2.26866 | ||||||||
\(544\) | 1.21382 | − | 3.56028i | 0.0520420 | − | 0.152646i | ||||
\(545\) | 20.2291 | 0.866518 | ||||||||
\(546\) | 17.5657i | 0.751741i | ||||||||
\(547\) | −21.0425 | + | 21.0425i | −0.899712 | + | 0.899712i | −0.995410 | − | 0.0956981i | \(-0.969492\pi\) |
0.0956981 | + | 0.995410i | \(0.469492\pi\) | |||||||
\(548\) | 0.367640 | 0.0157048 | ||||||||
\(549\) | 3.65853 | − | 3.65853i | 0.156142 | − | 0.156142i | ||||
\(550\) | −17.0048 | − | 17.0048i | −0.725087 | − | 0.725087i | ||||
\(551\) | −5.22010 | − | 5.22010i | −0.222384 | − | 0.222384i | ||||
\(552\) | 36.1206i | 1.53739i | ||||||||
\(553\) | − | 12.8297i | − | 0.545574i | ||||||
\(554\) | −22.2089 | − | 22.2089i | −0.943566 | − | 0.943566i | ||||
\(555\) | 53.1389 | + | 53.1389i | 2.25562 | + | 2.25562i | ||||
\(556\) | 0.378275 | − | 0.378275i | 0.0160424 | − | 0.0160424i | ||||
\(557\) | −24.2276 | −1.02656 | −0.513278 | − | 0.858223i | \(-0.671569\pi\) | ||||
−0.513278 | + | 0.858223i | \(0.671569\pi\) | |||||||
\(558\) | −4.93986 | + | 4.93986i | −0.209121 | + | 0.209121i | ||||
\(559\) | − | 1.35632i | − | 0.0573660i | ||||||
\(560\) | 58.4930 | 2.47178 | ||||||||
\(561\) | 13.7063 | + | 4.67292i | 0.578680 | + | 0.197291i | ||||
\(562\) | −8.18990 | −0.345470 | ||||||||
\(563\) | − | 40.7601i | − | 1.71783i | −0.512117 | − | 0.858916i | \(-0.671138\pi\) | ||
0.512117 | − | 0.858916i | \(-0.328862\pi\) | |||||||
\(564\) | −0.988534 | + | 0.988534i | −0.0416248 | + | 0.0416248i | ||||
\(565\) | 67.1848 | 2.82649 | ||||||||
\(566\) | −6.24216 | + | 6.24216i | −0.262378 | + | 0.262378i | ||||
\(567\) | −6.51884 | − | 6.51884i | −0.273765 | − | 0.273765i | ||||
\(568\) | −8.22302 | − | 8.22302i | −0.345030 | − | 0.345030i | ||||
\(569\) | − | 3.33703i | − | 0.139895i | −0.997551 | − | 0.0699477i | \(-0.977717\pi\) | ||
0.997551 | − | 0.0699477i | \(-0.0222832\pi\) | |||||||
\(570\) | 13.7405i | 0.575524i | ||||||||
\(571\) | 10.5154 | + | 10.5154i | 0.440055 | + | 0.440055i | 0.892031 | − | 0.451975i | \(-0.149280\pi\) |
−0.451975 | + | 0.892031i | \(0.649280\pi\) | |||||||
\(572\) | 0.200188 | + | 0.200188i | 0.00837028 | + | 0.00837028i | ||||
\(573\) | −34.1675 | + | 34.1675i | −1.42737 | + | 1.42737i | ||||
\(574\) | 32.8301 | 1.37030 | ||||||||
\(575\) | 44.0088 | − | 44.0088i | 1.83529 | − | 1.83529i | ||||
\(576\) | 31.9049i | 1.32937i | ||||||||
\(577\) | −6.20640 | −0.258376 | −0.129188 | − | 0.991620i | \(-0.541237\pi\) | ||||
−0.129188 | + | 0.991620i | \(0.541237\pi\) | |||||||
\(578\) | 15.2681 | − | 19.7890i | 0.635070 | − | 0.823113i | ||||
\(579\) | −64.0155 | −2.66039 | ||||||||
\(580\) | − | 6.13693i | − | 0.254822i | ||||||
\(581\) | −35.3273 | + | 35.3273i | −1.46563 | + | 1.46563i | ||||
\(582\) | 29.5973 | 1.22685 | ||||||||
\(583\) | 9.05116 | − | 9.05116i | 0.374861 | − | 0.374861i | ||||
\(584\) | −13.9763 | − | 13.9763i | −0.578345 | − | 0.578345i | ||||
\(585\) | 17.7327 | + | 17.7327i | 0.733155 | + | 0.733155i | ||||
\(586\) | 16.0615i | 0.663494i | ||||||||
\(587\) | 28.5144i | 1.17692i | 0.808527 | + | 0.588458i | \(0.200265\pi\) | ||||
−0.808527 | + | 0.588458i | \(0.799735\pi\) | |||||||
\(588\) | 1.08427 | + | 1.08427i | 0.0447146 | + | 0.0447146i | ||||
\(589\) | 0.624336 | + | 0.624336i | 0.0257253 | + | 0.0257253i | ||||
\(590\) | 33.8019 | − | 33.8019i | 1.39160 | − | 1.39160i | ||||
\(591\) | −30.8300 | −1.26818 | ||||||||
\(592\) | −19.9721 | + | 19.9721i | −0.820848 | + | 0.820848i | ||||
\(593\) | − | 36.4712i | − | 1.49769i | −0.662744 | − | 0.748846i | \(-0.730608\pi\) | ||
0.662744 | − | 0.748846i | \(-0.269392\pi\) | |||||||
\(594\) | 7.22323 | 0.296373 | ||||||||
\(595\) | 53.1210 | + | 18.1107i | 2.17775 | + | 0.742466i | ||||
\(596\) | −0.865438 | −0.0354497 | ||||||||
\(597\) | 51.6046i | 2.11204i | ||||||||
\(598\) | −6.92776 | + | 6.92776i | −0.283297 | + | 0.283297i | ||||
\(599\) | 17.5141 | 0.715606 | 0.357803 | − | 0.933797i | \(-0.383526\pi\) | ||||
0.357803 | + | 0.933797i | \(0.383526\pi\) | |||||||
\(600\) | 65.8548 | − | 65.8548i | 2.68851 | − | 2.68851i | ||||
\(601\) | 8.37503 | + | 8.37503i | 0.341625 | + | 0.341625i | 0.856978 | − | 0.515353i | \(-0.172339\pi\) |
−0.515353 | + | 0.856978i | \(0.672339\pi\) | |||||||
\(602\) | −3.36672 | − | 3.36672i | −0.137217 | − | 0.137217i | ||||
\(603\) | 15.6589i | 0.637678i | ||||||||
\(604\) | − | 3.50509i | − | 0.142620i | ||||||
\(605\) | −27.7389 | − | 27.7389i | −1.12775 | − | 1.12775i | ||||
\(606\) | −24.5960 | − | 24.5960i | −0.999143 | − | 0.999143i | ||||
\(607\) | 27.9449 | − | 27.9449i | 1.13425 | − | 1.13425i | 0.144787 | − | 0.989463i | \(-0.453750\pi\) |
0.989463 | − | 0.144787i | \(-0.0462496\pi\) | |||||||
\(608\) | −0.745715 | −0.0302427 | ||||||||
\(609\) | −56.2541 | + | 56.2541i | −2.27953 | + | 2.27953i | ||||
\(610\) | − | 7.26892i | − | 0.294310i | ||||||
\(611\) | 4.31206 | 0.174447 | ||||||||
\(612\) | 0.946135 | − | 2.77514i | 0.0382452 | − | 0.112178i | ||||
\(613\) | 28.4140 | 1.14763 | 0.573815 | − | 0.818985i | \(-0.305463\pi\) | ||||
0.573815 | + | 0.818985i | \(0.305463\pi\) | |||||||
\(614\) | − | 7.68007i | − | 0.309942i | ||||||
\(615\) | 55.7452 | − | 55.7452i | 2.24786 | − | 2.24786i | ||||
\(616\) | −11.3016 | −0.455355 | ||||||||
\(617\) | −3.44087 | + | 3.44087i | −0.138524 | + | 0.138524i | −0.772969 | − | 0.634444i | \(-0.781229\pi\) |
0.634444 | + | 0.772969i | \(0.281229\pi\) | |||||||
\(618\) | 2.89597 | + | 2.89597i | 0.116493 | + | 0.116493i | ||||
\(619\) | 15.1093 | + | 15.1093i | 0.607296 | + | 0.607296i | 0.942239 | − | 0.334943i | \(-0.108717\pi\) |
−0.334943 | + | 0.942239i | \(0.608717\pi\) | |||||||
\(620\) | 0.733991i | 0.0294778i | ||||||||
\(621\) | 18.6939i | 0.750160i | ||||||||
\(622\) | 6.97989 | + | 6.97989i | 0.279868 | + | 0.279868i | ||||
\(623\) | −41.4051 | − | 41.4051i | −1.65886 | − | 1.65886i | ||||
\(624\) | −11.2101 | + | 11.2101i | −0.448765 | + | 0.448765i | ||||
\(625\) | −72.1341 | −2.88536 | ||||||||
\(626\) | −1.81580 | + | 1.81580i | −0.0725740 | + | 0.0725740i | ||||
\(627\) | − | 2.87083i | − | 0.114650i | ||||||
\(628\) | 1.39966 | 0.0558523 | ||||||||
\(629\) | −24.3217 | + | 11.9541i | −0.969768 | + | 0.476640i | ||||
\(630\) | 88.0340 | 3.50736 | ||||||||
\(631\) | − | 3.12241i | − | 0.124301i | −0.998067 | − | 0.0621507i | \(-0.980204\pi\) | ||
0.998067 | − | 0.0621507i | \(-0.0197959\pi\) | |||||||
\(632\) | 7.57168 | − | 7.57168i | 0.301185 | − | 0.301185i | ||||
\(633\) | −75.4758 | −2.99990 | ||||||||
\(634\) | −15.7124 | + | 15.7124i | −0.624021 | + | 0.624021i | ||||
\(635\) | −59.8553 | − | 59.8553i | −2.37529 | − | 2.37529i | ||||
\(636\) | −3.08244 | − | 3.08244i | −0.122227 | − | 0.122227i | ||||
\(637\) | − | 4.72968i | − | 0.187397i | ||||||
\(638\) | 17.1453i | 0.678788i | ||||||||
\(639\) | −13.3828 | − | 13.3828i | −0.529417 | − | 0.529417i | ||||
\(640\) | 37.1180 | + | 37.1180i | 1.46722 | + | 1.46722i | ||||
\(641\) | 21.2253 | − | 21.2253i | 0.838350 | − | 0.838350i | −0.150292 | − | 0.988642i | \(-0.548021\pi\) |
0.988642 | + | 0.150292i | \(0.0480213\pi\) | |||||||
\(642\) | −33.4557 | −1.32039 | ||||||||
\(643\) | −28.0083 | + | 28.0083i | −1.10454 | + | 1.10454i | −0.110682 | + | 0.993856i | \(0.535303\pi\) |
−0.993856 | + | 0.110682i | \(0.964697\pi\) | |||||||
\(644\) | 2.57207i | 0.101354i | ||||||||
\(645\) | −11.4333 | −0.450187 | ||||||||
\(646\) | −4.69002 | − | 1.59898i | −0.184526 | − | 0.0629111i | ||||
\(647\) | −27.1090 | −1.06576 | −0.532882 | − | 0.846190i | \(-0.678891\pi\) | ||||
−0.532882 | + | 0.846190i | \(0.678891\pi\) | |||||||
\(648\) | − | 7.69442i | − | 0.302265i | ||||||
\(649\) | −7.06233 | + | 7.06233i | −0.277221 | + | 0.277221i | ||||
\(650\) | 25.2613 | 0.990829 | ||||||||
\(651\) | 6.72813 | − | 6.72813i | 0.263696 | − | 0.263696i | ||||
\(652\) | −1.27358 | − | 1.27358i | −0.0498774 | − | 0.0498774i | ||||
\(653\) | 8.45209 | + | 8.45209i | 0.330756 | + | 0.330756i | 0.852873 | − | 0.522118i | \(-0.174858\pi\) |
−0.522118 | + | 0.852873i | \(0.674858\pi\) | |||||||
\(654\) | 19.2469i | 0.752612i | ||||||||
\(655\) | − | 53.7246i | − | 2.09919i | ||||||
\(656\) | 20.9517 | + | 20.9517i | 0.818026 | + | 0.818026i | ||||
\(657\) | −22.7463 | − | 22.7463i | −0.887418 | − | 0.887418i | ||||
\(658\) | 10.7036 | − | 10.7036i | 0.417271 | − | 0.417271i | ||||
\(659\) | 21.1848 | 0.825242 | 0.412621 | − | 0.910903i | \(-0.364613\pi\) | ||||
0.412621 | + | 0.910903i | \(0.364613\pi\) | |||||||
\(660\) | 1.68752 | − | 1.68752i | 0.0656868 | − | 0.0656868i | ||||
\(661\) | 9.03316i | 0.351349i | 0.984448 | + | 0.175675i | \(0.0562107\pi\) | ||||
−0.984448 | + | 0.175675i | \(0.943789\pi\) | |||||||
\(662\) | −10.7310 | −0.417073 | ||||||||
\(663\) | −13.6515 | + | 6.70970i | −0.530181 | + | 0.260583i | ||||
\(664\) | −41.6982 | −1.61820 | ||||||||
\(665\) | − | 11.1264i | − | 0.431463i | ||||||
\(666\) | −30.0587 | + | 30.0587i | −1.16475 | + | 1.16475i | ||||
\(667\) | −44.3724 | −1.71811 | ||||||||
\(668\) | 0.0879781 | − | 0.0879781i | 0.00340397 | − | 0.00340397i | ||||
\(669\) | 23.8802 | + | 23.8802i | 0.923260 | + | 0.923260i | ||||
\(670\) | 15.5558 | + | 15.5558i | 0.600974 | + | 0.600974i | ||||
\(671\) | 1.51872i | 0.0586294i | ||||||||
\(672\) | 8.03615i | 0.310001i | ||||||||
\(673\) | 27.8567 | + | 27.8567i | 1.07380 | + | 1.07380i | 0.997051 | + | 0.0767481i | \(0.0244537\pi\) |
0.0767481 | + | 0.997051i | \(0.475546\pi\) | |||||||
\(674\) | −10.7823 | − | 10.7823i | −0.415319 | − | 0.415319i | ||||
\(675\) | 34.0825 | − | 34.0825i | 1.31184 | − | 1.31184i | ||||
\(676\) | 1.80418 | 0.0693917 | ||||||||
\(677\) | −18.9507 | + | 18.9507i | −0.728333 | + | 0.728333i | −0.970288 | − | 0.241955i | \(-0.922211\pi\) |
0.241955 | + | 0.970288i | \(0.422211\pi\) | |||||||
\(678\) | 63.9227i | 2.45494i | ||||||||
\(679\) | −23.9666 | −0.919753 | ||||||||
\(680\) | 20.6620 | + | 42.0387i | 0.792351 | + | 1.61211i | ||||
\(681\) | 33.3723 | 1.27883 | ||||||||
\(682\) | − | 2.05062i | − | 0.0785221i | ||||||
\(683\) | −25.6754 | + | 25.6754i | −0.982443 | + | 0.982443i | −0.999849 | − | 0.0174057i | \(-0.994459\pi\) |
0.0174057 | + | 0.999849i | \(0.494459\pi\) | |||||||
\(684\) | −0.581263 | −0.0222251 | ||||||||
\(685\) | −6.75924 | + | 6.75924i | −0.258257 | + | 0.258257i | ||||
\(686\) | 11.8268 | + | 11.8268i | 0.451549 | + | 0.451549i | ||||
\(687\) | 40.2355 | + | 40.2355i | 1.53508 | + | 1.53508i | ||||
\(688\) | − | 4.29718i | − | 0.163829i | ||||||
\(689\) | 13.4458i | 0.512246i | ||||||||
\(690\) | 58.3989 | + | 58.3989i | 2.22321 | + | 2.22321i | ||||
\(691\) | −21.6577 | − | 21.6577i | −0.823896 | − | 0.823896i | 0.162768 | − | 0.986664i | \(-0.447958\pi\) |
−0.986664 | + | 0.162768i | \(0.947958\pi\) | |||||||
\(692\) | 2.39595 | − | 2.39595i | 0.0910803 | − | 0.0910803i | ||||
\(693\) | −18.3932 | −0.698700 | ||||||||
\(694\) | 33.9321 | − | 33.9321i | 1.28804 | − | 1.28804i | ||||
\(695\) | 13.9096i | 0.527620i | ||||||||
\(696\) | −66.3988 | −2.51684 | ||||||||
\(697\) | 12.5404 | + | 25.5146i | 0.475002 | + | 0.966434i | ||||
\(698\) | 38.2495 | 1.44777 | ||||||||
\(699\) | 37.6659i | 1.42466i | ||||||||
\(700\) | 4.68938 | − | 4.68938i | 0.177242 | − | 0.177242i | ||||
\(701\) | 15.8083 | 0.597070 | 0.298535 | − | 0.954399i | \(-0.403502\pi\) | ||||
0.298535 | + | 0.954399i | \(0.403502\pi\) | |||||||
\(702\) | −5.36519 | + | 5.36519i | −0.202496 | + | 0.202496i | ||||
\(703\) | 3.79904 | + | 3.79904i | 0.143284 | + | 0.143284i | ||||
\(704\) | −6.62213 | − | 6.62213i | −0.249581 | − | 0.249581i | ||||
\(705\) | − | 36.3494i | − | 1.36900i | ||||||
\(706\) | 9.57570i | 0.360386i | ||||||||
\(707\) | 19.9167 | + | 19.9167i | 0.749045 | + | 0.749045i | ||||
\(708\) | 2.40513 | + | 2.40513i | 0.0903903 | + | 0.0903903i | ||||
\(709\) | 18.9139 | − | 18.9139i | 0.710325 | − | 0.710325i | −0.256278 | − | 0.966603i | \(-0.582496\pi\) |
0.966603 | + | 0.256278i | \(0.0824962\pi\) | |||||||
\(710\) | −26.5896 | −0.997889 | ||||||||
\(711\) | 12.3228 | − | 12.3228i | 0.462141 | − | 0.462141i | ||||
\(712\) | − | 48.8720i | − | 1.83155i | ||||||
\(713\) | 5.30704 | 0.198750 | ||||||||
\(714\) | −17.2313 | + | 50.5418i | −0.644867 | + | 1.89148i | ||||
\(715\) | −7.36111 | −0.275290 | ||||||||
\(716\) | 2.01006i | 0.0751196i | ||||||||
\(717\) | 44.5897 | − | 44.5897i | 1.66523 | − | 1.66523i | ||||
\(718\) | 7.29069 | 0.272086 | ||||||||
\(719\) | 3.51866 | − | 3.51866i | 0.131224 | − | 0.131224i | −0.638444 | − | 0.769668i | \(-0.720422\pi\) |
0.769668 | + | 0.638444i | \(0.220422\pi\) | |||||||
\(720\) | 56.1820 | + | 56.1820i | 2.09378 | + | 2.09378i | ||||
\(721\) | −2.34502 | − | 2.34502i | −0.0873332 | − | 0.0873332i | ||||
\(722\) | − | 26.9526i | − | 1.00307i | ||||||
\(723\) | − | 34.3377i | − | 1.27703i | ||||||
\(724\) | −2.22164 | − | 2.22164i | −0.0825666 | − | 0.0825666i | ||||
\(725\) | 80.8994 | + | 80.8994i | 3.00453 | + | 3.00453i | ||||
\(726\) | 26.3920 | − | 26.3920i | 0.979500 | − | 0.979500i | ||||
\(727\) | −25.2428 | −0.936204 | −0.468102 | − | 0.883674i | \(-0.655062\pi\) | ||||
−0.468102 | + | 0.883674i | \(0.655062\pi\) | |||||||
\(728\) | 8.39448 | − | 8.39448i | 0.311120 | − | 0.311120i | ||||
\(729\) | − | 43.5716i | − | 1.61376i | ||||||
\(730\) | −45.1933 | −1.67268 | ||||||||
\(731\) | 1.33050 | − | 3.90253i | 0.0492104 | − | 0.144340i | ||||
\(732\) | 0.517210 | 0.0191166 | ||||||||
\(733\) | 9.86420i | 0.364343i | 0.983267 | + | 0.182171i | \(0.0583125\pi\) | ||||
−0.983267 | + | 0.182171i | \(0.941687\pi\) | |||||||
\(734\) | −13.1129 | + | 13.1129i | −0.484004 | + | 0.484004i | ||||
\(735\) | −39.8698 | −1.47062 | ||||||||
\(736\) | −3.16940 | + | 3.16940i | −0.116825 | + | 0.116825i | ||||
\(737\) | −3.25012 | − | 3.25012i | −0.119720 | − | 0.119720i | ||||
\(738\) | 31.5330 | + | 31.5330i | 1.16075 | + | 1.16075i | ||||
\(739\) | 30.7198i | 1.13005i | 0.825075 | + | 0.565024i | \(0.191133\pi\) | ||||
−0.825075 | + | 0.565024i | \(0.808867\pi\) | |||||||
\(740\) | 4.46629i | 0.164184i | ||||||||
\(741\) | 2.13237 | + | 2.13237i | 0.0783344 | + | 0.0783344i | ||||
\(742\) | 33.3760 | + | 33.3760i | 1.22527 | + | 1.22527i | ||||
\(743\) | −12.9858 | + | 12.9858i | −0.476403 | + | 0.476403i | −0.903979 | − | 0.427577i | \(-0.859367\pi\) |
0.427577 | + | 0.903979i | \(0.359367\pi\) | |||||||
\(744\) | 7.94145 | 0.291148 | ||||||||
\(745\) | 15.9115 | − | 15.9115i | 0.582953 | − | 0.582953i | ||||
\(746\) | − | 17.5947i | − | 0.644186i | ||||||
\(747\) | −67.8632 | −2.48298 | ||||||||
\(748\) | 0.379624 | + | 0.772380i | 0.0138804 | + | 0.0282410i | ||||
\(749\) | 27.0910 | 0.989882 | ||||||||
\(750\) | − | 128.895i | − | 4.70659i | ||||||
\(751\) | 21.4129 | − | 21.4129i | 0.781368 | − | 0.781368i | −0.198694 | − | 0.980062i | \(-0.563670\pi\) |
0.980062 | + | 0.198694i | \(0.0636699\pi\) | |||||||
\(752\) | 13.6618 | 0.498195 | ||||||||
\(753\) | 8.18017 | − | 8.18017i | 0.298102 | − | 0.298102i | ||||
\(754\) | −12.7350 | − | 12.7350i | −0.463781 | − | 0.463781i | ||||
\(755\) | 64.4429 | + | 64.4429i | 2.34532 | + | 2.34532i | ||||
\(756\) | 1.99194i | 0.0724460i | ||||||||
\(757\) | 26.9588i | 0.979835i | 0.871769 | + | 0.489917i | \(0.162973\pi\) | ||||
−0.871769 | + | 0.489917i | \(0.837027\pi\) | |||||||
\(758\) | 16.1086 | + | 16.1086i | 0.585091 | + | 0.585091i | ||||
\(759\) | −12.2015 | − | 12.2015i | −0.442885 | − | 0.442885i | ||||
\(760\) | 6.56645 | − | 6.56645i | 0.238190 | − | 0.238190i | ||||
\(761\) | −46.1263 | −1.67208 | −0.836039 | − | 0.548670i | \(-0.815134\pi\) | ||||
−0.836039 | + | 0.548670i | \(0.815134\pi\) | |||||||
\(762\) | 56.9491 | − | 56.9491i | 2.06305 | − | 2.06305i | ||||
\(763\) | − | 15.5852i | − | 0.564224i | ||||||
\(764\) | −2.87176 | −0.103897 | ||||||||
\(765\) | 33.6271 | + | 68.4174i | 1.21579 | + | 2.47364i | ||||
\(766\) | 3.35182 | 0.121106 | ||||||||
\(767\) | − | 10.4914i | − | 0.378821i | ||||||
\(768\) | −7.41496 | + | 7.41496i | −0.267564 | + | 0.267564i | ||||
\(769\) | 12.5039 | 0.450900 | 0.225450 | − | 0.974255i | \(-0.427615\pi\) | ||||
0.225450 | + | 0.974255i | \(0.427615\pi\) | |||||||
\(770\) | −18.2722 | + | 18.2722i | −0.658484 | + | 0.658484i | ||||
\(771\) | 13.7835 | + | 13.7835i | 0.496401 | + | 0.496401i | ||||
\(772\) | −2.69023 | − | 2.69023i | −0.0968234 | − | 0.0968234i | ||||
\(773\) | 33.6746i | 1.21119i | 0.795773 | + | 0.605595i | \(0.207065\pi\) | ||||
−0.795773 | + | 0.605595i | \(0.792935\pi\) | |||||||
\(774\) | − | 6.46741i | − | 0.232466i | ||||||
\(775\) | −9.67576 | − | 9.67576i | −0.347564 | − | 0.347564i | ||||
\(776\) | −14.1443 | − | 14.1443i | −0.507751 | − | 0.507751i | ||||
\(777\) | 40.9402 | − | 40.9402i | 1.46872 | − | 1.46872i | ||||
\(778\) | −12.2811 | −0.440297 | ||||||||
\(779\) | 3.98538 | − | 3.98538i | 0.142791 | − | 0.142791i | ||||
\(780\) | 2.50688i | 0.0897608i | ||||||||
\(781\) | 5.55544 | 0.198789 | ||||||||
\(782\) | −26.7292 | + | 13.1374i | −0.955834 | + | 0.469792i | ||||
\(783\) | −34.3641 | −1.22807 | ||||||||
\(784\) | − | 14.9849i | − | 0.535177i | ||||||
\(785\) | −25.7334 | + | 25.7334i | −0.918463 | + | 0.918463i | ||||
\(786\) | 51.1160 | 1.82325 | ||||||||
\(787\) | 2.38770 | − | 2.38770i | 0.0851123 | − | 0.0851123i | −0.663269 | − | 0.748381i | \(-0.730831\pi\) |
0.748381 | + | 0.663269i | \(0.230831\pi\) | |||||||
\(788\) | −1.29562 | − | 1.29562i | −0.0461545 | − | 0.0461545i | ||||
\(789\) | −22.9174 | − | 22.9174i | −0.815881 | − | 0.815881i | ||||
\(790\) | − | 24.4834i | − | 0.871081i | ||||||
\(791\) | − | 51.7617i | − | 1.84044i | ||||||
\(792\) | −10.8551 | − | 10.8551i | −0.385719 | − | 0.385719i | ||||
\(793\) | −1.12806 | − | 1.12806i | −0.0400584 | − | 0.0400584i | ||||
\(794\) | 37.1734 | − | 37.1734i | 1.31923 | − | 1.31923i | ||||
\(795\) | 113.344 | 4.01991 | ||||||||
\(796\) | −2.16867 | + | 2.16867i | −0.0768664 | + | 0.0768664i | ||||
\(797\) | 15.6916i | 0.555827i | 0.960606 | + | 0.277913i | \(0.0896428\pi\) | ||||
−0.960606 | + | 0.277913i | \(0.910357\pi\) | |||||||
\(798\) | 10.5862 | 0.374746 | ||||||||
\(799\) | 12.4071 | + | 4.22999i | 0.438932 | + | 0.149646i | ||||
\(800\) | 11.5568 | 0.408596 | ||||||||
\(801\) | − | 79.5385i | − | 2.81035i | ||||||
\(802\) | 6.42564 | − | 6.42564i | 0.226897 | − | 0.226897i | ||||
\(803\) | 9.44236 | 0.333214 | ||||||||
\(804\) | −1.10685 | + | 1.10685i | −0.0390357 | + | 0.0390357i | ||||
\(805\) | −47.2888 | − | 47.2888i | −1.66671 | − | 1.66671i | ||||
\(806\) | 1.52313 | + | 1.52313i | 0.0536501 | + | 0.0536501i | ||||
\(807\) | 77.1266i | 2.71498i | ||||||||
\(808\) | 23.5084i | 0.827024i | ||||||||
\(809\) | 1.94966 | + | 1.94966i | 0.0685465 | + | 0.0685465i | 0.740549 | − | 0.672002i | \(-0.234566\pi\) |
−0.672002 | + | 0.740549i | \(0.734566\pi\) | |||||||
\(810\) | −12.4402 | − | 12.4402i | −0.437103 | − | 0.437103i | ||||
\(811\) | −3.02126 | + | 3.02126i | −0.106091 | + | 0.106091i | −0.758160 | − | 0.652069i | \(-0.773901\pi\) |
0.652069 | + | 0.758160i | \(0.273901\pi\) | |||||||
\(812\) | −4.72812 | −0.165925 | ||||||||
\(813\) | −17.3928 | + | 17.3928i | −0.609992 | + | 0.609992i | ||||
\(814\) | − | 12.4779i | − | 0.437349i | ||||||
\(815\) | 46.8310 | 1.64042 | ||||||||
\(816\) | −43.2518 | + | 21.2582i | −1.51412 | + | 0.744187i | ||||
\(817\) | −0.817400 | −0.0285972 | ||||||||
\(818\) | − | 18.0775i | − | 0.632064i | ||||||
\(819\) | 13.6619 | − | 13.6619i | 0.477386 | − | 0.477386i | ||||
\(820\) | 4.68535 | 0.163620 | ||||||||
\(821\) | −14.2140 | + | 14.2140i | −0.496073 | + | 0.496073i | −0.910213 | − | 0.414140i | \(-0.864082\pi\) |
0.414140 | + | 0.910213i | \(0.364082\pi\) | |||||||
\(822\) | −6.43105 | − | 6.43105i | −0.224309 | − | 0.224309i | ||||
\(823\) | −34.0421 | − | 34.0421i | −1.18663 | − | 1.18663i | −0.977993 | − | 0.208639i | \(-0.933097\pi\) |
−0.208639 | − | 0.977993i | \(-0.566903\pi\) | |||||||
\(824\) | − | 2.76792i | − | 0.0964250i | ||||||
\(825\) | 44.4912i | 1.54899i | ||||||||
\(826\) | −26.0423 | − | 26.0423i | −0.906126 | − | 0.906126i | ||||
\(827\) | 31.9868 | + | 31.9868i | 1.11229 | + | 1.11229i | 0.992840 | + | 0.119450i | \(0.0381132\pi\) |
0.119450 | + | 0.992840i | \(0.461887\pi\) | |||||||
\(828\) | −2.47045 | + | 2.47045i | −0.0858541 | + | 0.0858541i | ||||
\(829\) | 36.4960 | 1.26756 | 0.633780 | − | 0.773514i | \(-0.281503\pi\) | ||||
0.633780 | + | 0.773514i | \(0.281503\pi\) | |||||||
\(830\) | −67.4166 | + | 67.4166i | −2.34007 | + | 2.34007i | ||||
\(831\) | 58.1072i | 2.01572i | ||||||||
\(832\) | 9.83742 | 0.341051 | ||||||||
\(833\) | 4.63966 | − | 13.6087i | 0.160755 | − | 0.471515i | ||||
\(834\) | −13.2342 | −0.458262 | ||||||||
\(835\) | 3.23504i | 0.111953i | ||||||||
\(836\) | 0.120646 | − | 0.120646i | 0.00417262 | − | 0.00417262i | ||||
\(837\) | 4.11003 | 0.142063 | ||||||||
\(838\) | −29.9678 | + | 29.9678i | −1.03522 | + | 1.03522i | ||||
\(839\) | 28.9206 | + | 28.9206i | 0.998450 | + | 0.998450i | 0.999999 | − | 0.00154859i | \(-0.000492930\pi\) |
−0.00154859 | + | 0.999999i | \(0.500493\pi\) | |||||||
\(840\) | −70.7630 | − | 70.7630i | −2.44155 | − | 2.44155i | ||||
\(841\) | − | 52.5677i | − | 1.81268i | ||||||
\(842\) | 36.7806i | 1.26754i | ||||||||
\(843\) | 10.7140 | + | 10.7140i | 0.369009 | + | 0.369009i | ||||
\(844\) | −3.17185 | − | 3.17185i | −0.109179 | − | 0.109179i | ||||
\(845\) | −33.1708 | + | 33.1708i | −1.14111 | + | 1.14111i | ||||
\(846\) | 20.5615 | 0.706919 | ||||||||
\(847\) | −21.3711 | + | 21.3711i | −0.734319 | + | 0.734319i | ||||
\(848\) | 42.6002i | 1.46290i | ||||||||
\(849\) | 16.3319 | 0.560511 | ||||||||
\(850\) | 72.6844 | + | 24.7805i | 2.49305 | + | 0.849964i | ||||
\(851\) | 32.2930 | 1.10699 | ||||||||
\(852\) | − | 1.89195i | − | 0.0648170i | ||||||
\(853\) | −15.9773 | + | 15.9773i | −0.547053 | + | 0.547053i | −0.925587 | − | 0.378534i | \(-0.876428\pi\) |
0.378534 | + | 0.925587i | \(0.376428\pi\) | |||||||
\(854\) | −5.60025 | −0.191637 | ||||||||
\(855\) | 10.6868 | − | 10.6868i | 0.365481 | − | 0.365481i | ||||
\(856\) | 15.9882 | + | 15.9882i | 0.546466 | + | 0.546466i | ||||
\(857\) | −9.51312 | − | 9.51312i | −0.324962 | − | 0.324962i | 0.525705 | − | 0.850667i | \(-0.323802\pi\) |
−0.850667 | + | 0.525705i | \(0.823802\pi\) | |||||||
\(858\) | − | 7.00370i | − | 0.239102i | ||||||
\(859\) | − | 20.1251i | − | 0.686661i | −0.939215 | − | 0.343330i | \(-0.888445\pi\) | ||
0.939215 | − | 0.343330i | \(-0.111555\pi\) | |||||||
\(860\) | −0.480482 | − | 0.480482i | −0.0163843 | − | 0.0163843i | ||||
\(861\) | −42.9482 | − | 42.9482i | −1.46367 | − | 1.46367i | ||||
\(862\) | −28.7921 | + | 28.7921i | −0.980663 | + | 0.980663i | ||||
\(863\) | 35.6708 | 1.21425 | 0.607123 | − | 0.794607i | \(-0.292323\pi\) | ||||
0.607123 | + | 0.794607i | \(0.292323\pi\) | |||||||
\(864\) | −2.45453 | + | 2.45453i | −0.0835049 | + | 0.0835049i | ||||
\(865\) | 88.1015i | 2.99554i | ||||||||
\(866\) | 11.8078 | 0.401244 | ||||||||
\(867\) | −45.8616 | + | 5.91418i | −1.55754 | + | 0.200856i | ||||
\(868\) | 0.565495 | 0.0191941 | ||||||||
\(869\) | 5.11539i | 0.173528i | ||||||||
\(870\) | −107.352 | + | 107.352i | −3.63958 | + | 3.63958i | ||||
\(871\) | 4.82818 | 0.163597 | ||||||||
\(872\) | 9.19792 | − | 9.19792i | 0.311481 | − | 0.311481i | ||||
\(873\) | −23.0197 | − | 23.0197i | −0.779098 | − | 0.779098i | ||||
\(874\) | 4.17510 | + | 4.17510i | 0.141225 | + | 0.141225i | ||||
\(875\) | 104.374i | 3.52847i | ||||||||
\(876\) | − | 3.21567i | − | 0.108647i | ||||||
\(877\) | 16.9503 | + | 16.9503i | 0.572371 | + | 0.572371i | 0.932790 | − | 0.360419i | \(-0.117366\pi\) |
−0.360419 | + | 0.932790i | \(0.617366\pi\) | |||||||
\(878\) | −19.5524 | − | 19.5524i | −0.659861 | − | 0.659861i | ||||
\(879\) | 21.0116 | − | 21.0116i | 0.708703 | − | 0.708703i | ||||
\(880\) | −23.3221 | −0.786187 | ||||||||
\(881\) | −22.8512 | + | 22.8512i | −0.769878 | + | 0.769878i | −0.978085 | − | 0.208207i | \(-0.933237\pi\) |
0.208207 | + | 0.978085i | \(0.433237\pi\) | |||||||
\(882\) | − | 22.5529i | − | 0.759394i | ||||||
\(883\) | 29.5980 | 0.996052 | 0.498026 | − | 0.867162i | \(-0.334058\pi\) | ||||
0.498026 | + | 0.867162i | \(0.334058\pi\) | |||||||
\(884\) | −0.855673 | − | 0.291727i | −0.0287794 | − | 0.00981184i | ||||
\(885\) | −88.4390 | −2.97285 | ||||||||
\(886\) | − | 16.3371i | − | 0.548856i | ||||||
\(887\) | 32.6533 | − | 32.6533i | 1.09639 | − | 1.09639i | 0.101560 | − | 0.994829i | \(-0.467616\pi\) |
0.994829 | − | 0.101560i | \(-0.0323835\pi\) | |||||||
\(888\) | 48.3232 | 1.62162 | ||||||||
\(889\) | −46.1148 | + | 46.1148i | −1.54664 | + | 1.54664i | ||||
\(890\) | −79.0151 | − | 79.0151i | −2.64859 | − | 2.64859i | ||||
\(891\) | 2.59916 | + | 2.59916i | 0.0870751 | + | 0.0870751i | ||||
\(892\) | 2.00711i | 0.0672031i | ||||||||
\(893\) | − | 2.59872i | − | 0.0869627i | ||||||
\(894\) | 15.1389 | + | 15.1389i | 0.506322 | + | 0.506322i | ||||
\(895\) | −36.9560 | − | 36.9560i | −1.23530 | − | 1.23530i | ||||
\(896\) | 28.5971 | − | 28.5971i | 0.955364 | − | 0.955364i | ||||
\(897\) | 18.1257 | 0.605201 | ||||||||
\(898\) | −4.36205 | + | 4.36205i | −0.145563 | + | 0.145563i | ||||
\(899\) | 9.75569i | 0.325371i | ||||||||
\(900\) | 9.00822 | 0.300274 | ||||||||
\(901\) | −13.1899 | + | 38.6878i | −0.439420 | + | 1.28888i | ||||
\(902\) | −13.0899 | −0.435845 | ||||||||
\(903\) | 8.80867i | 0.293134i | ||||||||
\(904\) | 30.5481 | − | 30.5481i | 1.01602 | − | 1.01602i | ||||
\(905\) | 81.6919 | 2.71553 | ||||||||
\(906\) | −61.3139 | + | 61.3139i | −2.03702 | + | 2.03702i | ||||
\(907\) | 6.19267 | + | 6.19267i | 0.205624 | + | 0.205624i | 0.802405 | − | 0.596780i | \(-0.203554\pi\) |
−0.596780 | + | 0.802405i | \(0.703554\pi\) | |||||||
\(908\) | 1.40246 | + | 1.40246i | 0.0465423 | + | 0.0465423i | ||||
\(909\) | 38.2596i | 1.26899i | ||||||||
\(910\) | − | 27.1440i | − | 0.899816i | ||||||
\(911\) | 2.83118 | + | 2.83118i | 0.0938011 | + | 0.0938011i | 0.752450 | − | 0.658649i | \(-0.228872\pi\) |
−0.658649 | + | 0.752450i | \(0.728872\pi\) | |||||||
\(912\) | 6.75593 | + | 6.75593i | 0.223711 | + | 0.223711i | ||||
\(913\) | 14.0856 | − | 14.0856i | 0.466164 | − | 0.466164i | ||||
\(914\) | −31.9090 | −1.05546 | ||||||||
\(915\) | −9.50917 | + | 9.50917i | −0.314364 | + | 0.314364i | ||||
\(916\) | 3.38177i | 0.111737i | ||||||||
\(917\) | −41.3914 | −1.36687 | ||||||||
\(918\) | −20.7004 | + | 10.1742i | −0.683214 | + | 0.335799i | ||||
\(919\) | −23.6469 | −0.780038 | −0.390019 | − | 0.920807i | \(-0.627532\pi\) | ||||
−0.390019 | + | 0.920807i | \(0.627532\pi\) | |||||||
\(920\) | − | 55.8167i | − | 1.84022i | ||||||
\(921\) | −10.0470 | + | 10.0470i | −0.331061 | + | 0.331061i | ||||
\(922\) | −34.7968 | −1.14597 | ||||||||
\(923\) | −4.12641 | + | 4.12641i | −0.135822 | + | 0.135822i | ||||
\(924\) | −1.30013 | − | 1.30013i | −0.0427712 | − | 0.0427712i | ||||
\(925\) | −58.8763 | − | 58.8763i | −1.93584 | − | 1.93584i | ||||
\(926\) | − | 9.88311i | − | 0.324779i | ||||||
\(927\) | − | 4.50475i | − | 0.147955i | ||||||
\(928\) | −5.82615 | − | 5.82615i | −0.191253 | − | 0.191253i | ||||
\(929\) | −35.5615 | − | 35.5615i | −1.16674 | − | 1.16674i | −0.982970 | − | 0.183766i | \(-0.941171\pi\) |
−0.183766 | − | 0.982970i | \(-0.558829\pi\) | |||||||
\(930\) | 12.8396 | − | 12.8396i | 0.421026 | − | 0.421026i | ||||
\(931\) | −2.85040 | −0.0934181 | ||||||||
\(932\) | −1.58290 | + | 1.58290i | −0.0518495 | + | 0.0518495i | ||||
\(933\) | − | 18.2621i | − | 0.597875i | ||||||
\(934\) | 12.9135 | 0.422542 | ||||||||
\(935\) | −21.1802 | − | 7.22102i | −0.692666 | − | 0.236152i | ||||
\(936\) | 16.1256 | 0.527083 | ||||||||
\(937\) | 36.0462i | 1.17758i | 0.808287 | + | 0.588789i | \(0.200395\pi\) | ||||
−0.808287 | + | 0.588789i | \(0.799605\pi\) | |||||||
\(938\) | 11.9848 | − | 11.9848i | 0.391317 | − | 0.391317i | ||||
\(939\) | 4.75085 | 0.155038 | ||||||||
\(940\) | 1.52757 | − | 1.52757i | 0.0498238 | − | 0.0498238i | ||||
\(941\) | 3.51654 | + | 3.51654i | 0.114636 | + | 0.114636i | 0.762098 | − | 0.647462i | \(-0.224170\pi\) |
−0.647462 | + | 0.762098i | \(0.724170\pi\) | |||||||
\(942\) | −24.4839 | − | 24.4839i | −0.797728 | − | 0.797728i | ||||
\(943\) | − | 33.8769i | − | 1.10318i | ||||||
\(944\) | − | 33.2396i | − | 1.08186i | ||||||
\(945\) | −36.6227 | − | 36.6227i | −1.19134 | − | 1.19134i | ||||
\(946\) | 1.34236 | + | 1.34236i | 0.0436440 | + | 0.0436440i | ||||
\(947\) | −5.37400 | + | 5.37400i | −0.174632 | + | 0.174632i | −0.789011 | − | 0.614379i | \(-0.789407\pi\) |
0.614379 | + | 0.789011i | \(0.289407\pi\) | |||||||
\(948\) | 1.74209 | 0.0565803 | ||||||||
\(949\) | −7.01350 | + | 7.01350i | −0.227668 | + | 0.227668i | ||||
\(950\) | − | 15.2240i | − | 0.493932i | ||||||
\(951\) | 41.1099 | 1.33308 | ||||||||
\(952\) | 32.3882 | − | 15.9188i | 1.04971 | − | 0.515931i | ||||
\(953\) | −54.4092 | −1.76249 | −0.881244 | − | 0.472662i | \(-0.843293\pi\) | ||||
−0.881244 | + | 0.472662i | \(0.843293\pi\) | |||||||
\(954\) | 64.1148i | 2.07579i | ||||||||
\(955\) | 52.7987 | − | 52.7987i | 1.70853 | − | 1.70853i | ||||
\(956\) | 3.74773 | 0.121210 | ||||||||
\(957\) | 22.4294 | − | 22.4294i | 0.725039 | − | 0.725039i | ||||
\(958\) | 28.2308 | + | 28.2308i | 0.912097 | + | 0.912097i | ||||
\(959\) | 5.20757 | + | 5.20757i | 0.168161 | + | 0.168161i | ||||
\(960\) | − | 82.9265i | − | 2.67644i | ||||||
\(961\) | 29.8332i | 0.962361i | ||||||||
\(962\) | 9.26816 | + | 9.26816i | 0.298818 | + | 0.298818i | ||||
\(963\) | 26.0206 | + | 26.0206i | 0.838503 | + | 0.838503i | ||||
\(964\) | 1.44303 | − | 1.44303i | 0.0464769 | − | 0.0464769i | ||||
\(965\) | 98.9224 | 3.18442 | ||||||||
\(966\) | 44.9927 | − | 44.9927i | 1.44762 | − | 1.44762i | ||||
\(967\) | − | 0.142538i | − | 0.00458372i | −0.999997 | − | 0.00229186i | \(-0.999270\pi\) | ||
0.999997 | − | 0.00229186i | \(-0.000729522\pi\) | |||||||
\(968\) | −25.2251 | −0.810764 | ||||||||
\(969\) | 4.04369 | + | 8.22725i | 0.129902 | + | 0.264297i | ||||
\(970\) | −45.7364 | −1.46851 | ||||||||
\(971\) | 38.4708i | 1.23459i | 0.786733 | + | 0.617293i | \(0.211771\pi\) | ||||
−0.786733 | + | 0.617293i | \(0.788229\pi\) | |||||||
\(972\) | 2.18999 | − | 2.18999i | 0.0702440 | − | 0.0702440i | ||||
\(973\) | 10.7165 | 0.343554 | ||||||||
\(974\) | 1.65017 | − | 1.65017i | 0.0528748 | − | 0.0528748i | ||||
\(975\) | −33.0467 | − | 33.0467i | −1.05834 | − | 1.05834i | ||||
\(976\) | −3.57400 | − | 3.57400i | −0.114401 | − | 0.114401i | ||||
\(977\) | − | 2.52641i | − | 0.0808272i | −0.999183 | − | 0.0404136i | \(-0.987132\pi\) | ||
0.999183 | − | 0.0404136i | \(-0.0128675\pi\) | |||||||
\(978\) | 44.5571i | 1.42478i | ||||||||
\(979\) | 16.5089 | + | 16.5089i | 0.527625 | + | 0.527625i | ||||
\(980\) | −1.67551 | − | 1.67551i | −0.0535223 | − | 0.0535223i | ||||
\(981\) | 14.9695 | − | 14.9695i | 0.477939 | − | 0.477939i | ||||
\(982\) | 22.3782 | 0.714118 | ||||||||
\(983\) | −23.3424 | + | 23.3424i | −0.744508 | + | 0.744508i | −0.973442 | − | 0.228934i | \(-0.926476\pi\) |
0.228934 | + | 0.973442i | \(0.426476\pi\) | |||||||
\(984\) | − | 50.6934i | − | 1.61605i | ||||||
\(985\) | 47.6412 | 1.51798 | ||||||||
\(986\) | −24.1498 | − | 49.1350i | −0.769087 | − | 1.56478i | ||||
\(987\) | −28.0049 | −0.891407 | ||||||||
\(988\) | 0.179224i | 0.00570187i | ||||||||
\(989\) | −3.47407 | + | 3.47407i | −0.110469 | + | 0.110469i | ||||
\(990\) | −35.1005 | −1.11557 | ||||||||
\(991\) | −29.4543 | + | 29.4543i | −0.935648 | + | 0.935648i | −0.998051 | − | 0.0624028i | \(-0.980124\pi\) |
0.0624028 | + | 0.998051i | \(0.480124\pi\) | |||||||
\(992\) | 0.696822 | + | 0.696822i | 0.0221241 | + | 0.0221241i | ||||
\(993\) | 14.0383 | + | 14.0383i | 0.445492 | + | 0.445492i | ||||
\(994\) | 20.4856i | 0.649764i | ||||||||
\(995\) | − | 79.7440i | − | 2.52806i | ||||||
\(996\) | −4.79694 | − | 4.79694i | −0.151997 | − | 0.151997i | ||||
\(997\) | −32.4123 | − | 32.4123i | −1.02651 | − | 1.02651i | −0.999639 | − | 0.0268686i | \(-0.991446\pi\) |
−0.0268686 | − | 0.999639i | \(-0.508554\pi\) | |||||||
\(998\) | −22.9882 | + | 22.9882i | −0.727680 | + | 0.727680i | ||||
\(999\) | 25.0092 | 0.791257 |
(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 | 731.2.f.c.259.10 | ✓ | 56 | |
17.13 | even | 4 | inner | 731.2.f.c.302.19 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.f.c.259.10 | ✓ | 56 | 1.1 | even | 1 | trivial | |
731.2.f.c.302.19 | yes | 56 | 17.13 | even | 4 | inner |