Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(1121,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.1121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.l (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1121.9 | ||
Character | \(\chi\) | \(=\) | 1155.1121 |
Dual form | 1155.2.l.e.1121.10 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.88704 | −1.33434 | −0.667171 | − | 0.744905i | \(-0.732495\pi\) | ||||
−0.667171 | + | 0.744905i | \(0.732495\pi\) | |||||||
\(3\) | 1.57144 | − | 0.728399i | 0.907273 | − | 0.420541i | ||||
\(4\) | 1.56093 | 0.780466 | ||||||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | −2.96538 | + | 1.37452i | −1.21061 | + | 0.561146i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 0.828540 | 0.292933 | ||||||||
\(9\) | 1.93887 | − | 2.28928i | 0.646290 | − | 0.763092i | ||||
\(10\) | 1.88704i | 0.596735i | ||||||||
\(11\) | −0.471887 | + | 3.28288i | −0.142279 | + | 0.989827i | ||||
\(12\) | 2.45292 | − | 1.13698i | 0.708096 | − | 0.328218i | ||||
\(13\) | 4.81609i | 1.33574i | 0.744276 | + | 0.667872i | \(0.232795\pi\) | ||||
−0.744276 | + | 0.667872i | \(0.767205\pi\) | |||||||
\(14\) | − | 1.88704i | − | 0.504334i | ||||||
\(15\) | −0.728399 | − | 1.57144i | −0.188072 | − | 0.405745i | ||||
\(16\) | −4.68535 | −1.17134 | ||||||||
\(17\) | −6.59628 | −1.59983 | −0.799917 | − | 0.600111i | \(-0.795123\pi\) | ||||
−0.799917 | + | 0.600111i | \(0.795123\pi\) | |||||||
\(18\) | −3.65873 | + | 4.31996i | −0.862371 | + | 1.01823i | ||||
\(19\) | 3.38911i | 0.777515i | 0.921340 | + | 0.388757i | \(0.127096\pi\) | ||||
−0.921340 | + | 0.388757i | \(0.872904\pi\) | |||||||
\(20\) | − | 1.56093i | − | 0.349035i | ||||||
\(21\) | 0.728399 | + | 1.57144i | 0.158950 | + | 0.342917i | ||||
\(22\) | 0.890472 | − | 6.19494i | 0.189849 | − | 1.32077i | ||||
\(23\) | 4.14617i | 0.864537i | 0.901745 | + | 0.432269i | \(0.142287\pi\) | ||||
−0.901745 | + | 0.432269i | \(0.857713\pi\) | |||||||
\(24\) | 1.30200 | − | 0.603508i | 0.265770 | − | 0.123190i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | − | 9.08818i | − | 1.78234i | ||||||
\(27\) | 1.37932 | − | 5.00974i | 0.265450 | − | 0.964125i | ||||
\(28\) | 1.56093i | 0.294988i | ||||||||
\(29\) | −8.19160 | −1.52114 | −0.760571 | − | 0.649255i | \(-0.775081\pi\) | ||||
−0.760571 | + | 0.649255i | \(0.775081\pi\) | |||||||
\(30\) | 1.37452 | + | 2.96538i | 0.250952 | + | 0.541402i | ||||
\(31\) | −7.59366 | −1.36386 | −0.681931 | − | 0.731417i | \(-0.738859\pi\) | ||||
−0.681931 | + | 0.731417i | \(0.738859\pi\) | |||||||
\(32\) | 7.18439 | 1.27003 | ||||||||
\(33\) | 1.64971 | + | 5.50259i | 0.287177 | + | 0.957878i | ||||
\(34\) | 12.4475 | 2.13472 | ||||||||
\(35\) | 1.00000 | 0.169031 | ||||||||
\(36\) | 3.02644 | − | 3.57341i | 0.504407 | − | 0.595568i | ||||
\(37\) | −1.20065 | −0.197386 | −0.0986930 | − | 0.995118i | \(-0.531466\pi\) | ||||
−0.0986930 | + | 0.995118i | \(0.531466\pi\) | |||||||
\(38\) | − | 6.39539i | − | 1.03747i | ||||||
\(39\) | 3.50804 | + | 7.56822i | 0.561736 | + | 1.21188i | ||||
\(40\) | − | 0.828540i | − | 0.131004i | ||||||
\(41\) | −0.331296 | −0.0517398 | −0.0258699 | − | 0.999665i | \(-0.508236\pi\) | ||||
−0.0258699 | + | 0.999665i | \(0.508236\pi\) | |||||||
\(42\) | −1.37452 | − | 2.96538i | −0.212093 | − | 0.457568i | ||||
\(43\) | − | 6.55160i | − | 0.999110i | −0.866282 | − | 0.499555i | \(-0.833497\pi\) | ||
0.866282 | − | 0.499555i | \(-0.166503\pi\) | |||||||
\(44\) | −0.736584 | + | 5.12436i | −0.111044 | + | 0.772526i | ||||
\(45\) | −2.28928 | − | 1.93887i | −0.341265 | − | 0.289030i | ||||
\(46\) | − | 7.82401i | − | 1.15359i | ||||||
\(47\) | 7.08376i | 1.03327i | 0.856205 | + | 0.516637i | \(0.172816\pi\) | ||||
−0.856205 | + | 0.516637i | \(0.827184\pi\) | |||||||
\(48\) | −7.36277 | + | 3.41281i | −1.06272 | + | 0.492597i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 1.88704 | 0.266868 | ||||||||
\(51\) | −10.3657 | + | 4.80473i | −1.45149 | + | 0.672796i | ||||
\(52\) | 7.51760i | 1.04250i | ||||||||
\(53\) | − | 1.29776i | − | 0.178261i | −0.996020 | − | 0.0891306i | \(-0.971591\pi\) | ||
0.996020 | − | 0.0891306i | \(-0.0284089\pi\) | |||||||
\(54\) | −2.60283 | + | 9.45359i | −0.354200 | + | 1.28647i | ||||
\(55\) | 3.28288 | + | 0.471887i | 0.442664 | + | 0.0636293i | ||||
\(56\) | 0.828540i | 0.110718i | ||||||||
\(57\) | 2.46862 | + | 5.32579i | 0.326977 | + | 0.705418i | ||||
\(58\) | 15.4579 | 2.02972 | ||||||||
\(59\) | 13.1893i | 1.71711i | 0.512725 | + | 0.858553i | \(0.328636\pi\) | ||||
−0.512725 | + | 0.858553i | \(0.671364\pi\) | |||||||
\(60\) | −1.13698 | − | 2.45292i | −0.146784 | − | 0.316670i | ||||
\(61\) | 1.41421i | 0.181071i | 0.995893 | + | 0.0905353i | \(0.0288578\pi\) | ||||
−0.995893 | + | 0.0905353i | \(0.971142\pi\) | |||||||
\(62\) | 14.3296 | 1.81986 | ||||||||
\(63\) | 2.28928 | + | 1.93887i | 0.288422 | + | 0.244275i | ||||
\(64\) | −4.18654 | −0.523318 | ||||||||
\(65\) | 4.81609 | 0.597363 | ||||||||
\(66\) | −3.11307 | − | 10.3836i | −0.383192 | − | 1.27814i | ||||
\(67\) | −12.6154 | −1.54122 | −0.770609 | − | 0.637308i | \(-0.780048\pi\) | ||||
−0.770609 | + | 0.637308i | \(0.780048\pi\) | |||||||
\(68\) | −10.2964 | −1.24862 | ||||||||
\(69\) | 3.02007 | + | 6.51548i | 0.363574 | + | 0.784371i | ||||
\(70\) | −1.88704 | −0.225545 | ||||||||
\(71\) | − | 5.43492i | − | 0.645006i | −0.946568 | − | 0.322503i | \(-0.895476\pi\) | ||
0.946568 | − | 0.322503i | \(-0.104524\pi\) | |||||||
\(72\) | 1.60643 | − | 1.89676i | 0.189320 | − | 0.223535i | ||||
\(73\) | − | 8.50372i | − | 0.995285i | −0.867382 | − | 0.497642i | \(-0.834199\pi\) | ||
0.867382 | − | 0.497642i | \(-0.165801\pi\) | |||||||
\(74\) | 2.26568 | 0.263380 | ||||||||
\(75\) | −1.57144 | + | 0.728399i | −0.181455 | + | 0.0841083i | ||||
\(76\) | 5.29017i | 0.606824i | ||||||||
\(77\) | −3.28288 | − | 0.471887i | −0.374119 | − | 0.0537765i | ||||
\(78\) | −6.61982 | − | 14.2816i | −0.749547 | − | 1.61707i | ||||
\(79\) | − | 8.53441i | − | 0.960196i | −0.877215 | − | 0.480098i | \(-0.840601\pi\) | ||
0.877215 | − | 0.480098i | \(-0.159399\pi\) | |||||||
\(80\) | 4.68535i | 0.523839i | ||||||||
\(81\) | −1.48157 | − | 8.87721i | −0.164619 | − | 0.986357i | ||||
\(82\) | 0.625170 | 0.0690385 | ||||||||
\(83\) | 13.3014 | 1.46001 | 0.730007 | − | 0.683440i | \(-0.239517\pi\) | ||||
0.730007 | + | 0.683440i | \(0.239517\pi\) | |||||||
\(84\) | 1.13698 | + | 2.45292i | 0.124055 | + | 0.267635i | ||||
\(85\) | 6.59628i | 0.715467i | ||||||||
\(86\) | 12.3632i | 1.33315i | ||||||||
\(87\) | −12.8726 | + | 5.96675i | −1.38009 | + | 0.639703i | ||||
\(88\) | −0.390977 | + | 2.72000i | −0.0416783 | + | 0.289953i | ||||
\(89\) | − | 1.23222i | − | 0.130615i | −0.997865 | − | 0.0653075i | \(-0.979197\pi\) | ||
0.997865 | − | 0.0653075i | \(-0.0208028\pi\) | |||||||
\(90\) | 4.31996 | + | 3.65873i | 0.455364 | + | 0.385664i | ||||
\(91\) | −4.81609 | −0.504864 | ||||||||
\(92\) | 6.47190i | 0.674742i | ||||||||
\(93\) | −11.9330 | + | 5.53121i | −1.23739 | + | 0.573560i | ||||
\(94\) | − | 13.3674i | − | 1.37874i | ||||||
\(95\) | 3.38911 | 0.347715 | ||||||||
\(96\) | 11.2899 | − | 5.23310i | 1.15227 | − | 0.534101i | ||||
\(97\) | 18.3387 | 1.86201 | 0.931006 | − | 0.365003i | \(-0.118932\pi\) | ||||
0.931006 | + | 0.365003i | \(0.118932\pi\) | |||||||
\(98\) | 1.88704 | 0.190620 | ||||||||
\(99\) | 6.60050 | + | 7.44536i | 0.663375 | + | 0.748287i | ||||
\(100\) | −1.56093 | −0.156093 | ||||||||
\(101\) | −17.3141 | −1.72281 | −0.861407 | − | 0.507916i | \(-0.830416\pi\) | ||||
−0.861407 | + | 0.507916i | \(0.830416\pi\) | |||||||
\(102\) | 19.5605 | − | 9.06673i | 1.93678 | − | 0.897740i | ||||
\(103\) | 7.54916 | 0.743841 | 0.371920 | − | 0.928265i | \(-0.378699\pi\) | ||||
0.371920 | + | 0.928265i | \(0.378699\pi\) | |||||||
\(104\) | 3.99032i | 0.391284i | ||||||||
\(105\) | 1.57144 | − | 0.728399i | 0.153357 | − | 0.0710845i | ||||
\(106\) | 2.44893i | 0.237861i | ||||||||
\(107\) | 10.7755 | 1.04171 | 0.520855 | − | 0.853645i | \(-0.325613\pi\) | ||||
0.520855 | + | 0.853645i | \(0.325613\pi\) | |||||||
\(108\) | 2.15302 | − | 7.81986i | 0.207174 | − | 0.752467i | ||||
\(109\) | − | 1.57800i | − | 0.151145i | −0.997140 | − | 0.0755726i | \(-0.975922\pi\) | ||
0.997140 | − | 0.0755726i | \(-0.0240785\pi\) | |||||||
\(110\) | −6.19494 | − | 0.890472i | −0.590665 | − | 0.0849031i | ||||
\(111\) | −1.88676 | + | 0.874554i | −0.179083 | + | 0.0830090i | ||||
\(112\) | − | 4.68535i | − | 0.442724i | ||||||
\(113\) | 17.1721i | 1.61541i | 0.589584 | + | 0.807707i | \(0.299292\pi\) | ||||
−0.589584 | + | 0.807707i | \(0.700708\pi\) | |||||||
\(114\) | −4.65840 | − | 10.0500i | −0.436299 | − | 0.941269i | ||||
\(115\) | 4.14617 | 0.386633 | ||||||||
\(116\) | −12.7865 | −1.18720 | ||||||||
\(117\) | 11.0254 | + | 9.33778i | 1.01930 | + | 0.863278i | ||||
\(118\) | − | 24.8889i | − | 2.29120i | ||||||
\(119\) | − | 6.59628i | − | 0.604680i | ||||||
\(120\) | −0.603508 | − | 1.30200i | −0.0550925 | − | 0.118856i | ||||
\(121\) | −10.5546 | − | 3.09830i | −0.959513 | − | 0.281664i | ||||
\(122\) | − | 2.66867i | − | 0.241610i | ||||||
\(123\) | −0.520613 | + | 0.241316i | −0.0469421 | + | 0.0217587i | ||||
\(124\) | −11.8532 | −1.06445 | ||||||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −4.31996 | − | 3.65873i | −0.384853 | − | 0.325946i | ||||
\(127\) | 6.89191i | 0.611558i | 0.952102 | + | 0.305779i | \(0.0989170\pi\) | ||||
−0.952102 | + | 0.305779i | \(0.901083\pi\) | |||||||
\(128\) | −6.46859 | −0.571748 | ||||||||
\(129\) | −4.77218 | − | 10.2955i | −0.420167 | − | 0.906466i | ||||
\(130\) | −9.08818 | −0.797086 | ||||||||
\(131\) | 7.32535 | 0.640019 | 0.320009 | − | 0.947414i | \(-0.396314\pi\) | ||||
0.320009 | + | 0.947414i | \(0.396314\pi\) | |||||||
\(132\) | 2.57508 | + | 8.58917i | 0.224132 | + | 0.747591i | ||||
\(133\) | −3.38911 | −0.293873 | ||||||||
\(134\) | 23.8058 | 2.05651 | ||||||||
\(135\) | −5.00974 | − | 1.37932i | −0.431170 | − | 0.118713i | ||||
\(136\) | −5.46528 | −0.468644 | ||||||||
\(137\) | 10.8763i | 0.929222i | 0.885515 | + | 0.464611i | \(0.153806\pi\) | ||||
−0.885515 | + | 0.464611i | \(0.846194\pi\) | |||||||
\(138\) | −5.69900 | − | 12.2950i | −0.485131 | − | 1.04662i | ||||
\(139\) | 12.0609i | 1.02300i | 0.859285 | + | 0.511498i | \(0.170909\pi\) | ||||
−0.859285 | + | 0.511498i | \(0.829091\pi\) | |||||||
\(140\) | 1.56093 | 0.131923 | ||||||||
\(141\) | 5.15981 | + | 11.1317i | 0.434534 | + | 0.937461i | ||||
\(142\) | 10.2559i | 0.860658i | ||||||||
\(143\) | −15.8107 | − | 2.27265i | −1.32215 | − | 0.190049i | ||||
\(144\) | −9.08429 | + | 10.7261i | −0.757024 | + | 0.893839i | ||||
\(145\) | 8.19160i | 0.680275i | ||||||||
\(146\) | 16.0469i | 1.32805i | ||||||||
\(147\) | −1.57144 | + | 0.728399i | −0.129610 | + | 0.0600774i | ||||
\(148\) | −1.87414 | −0.154053 | ||||||||
\(149\) | −14.7746 | −1.21038 | −0.605189 | − | 0.796082i | \(-0.706903\pi\) | ||||
−0.605189 | + | 0.796082i | \(0.706903\pi\) | |||||||
\(150\) | 2.96538 | − | 1.37452i | 0.242122 | − | 0.112229i | ||||
\(151\) | 17.2699i | 1.40541i | 0.711484 | + | 0.702703i | \(0.248024\pi\) | ||||
−0.711484 | + | 0.702703i | \(0.751976\pi\) | |||||||
\(152\) | 2.80801i | 0.227760i | ||||||||
\(153\) | −12.7893 | + | 15.1007i | −1.03396 | + | 1.22082i | ||||
\(154\) | 6.19494 | + | 0.890472i | 0.499203 | + | 0.0717563i | ||||
\(155\) | 7.59366i | 0.609937i | ||||||||
\(156\) | 5.47581 | + | 11.8135i | 0.438416 | + | 0.945835i | ||||
\(157\) | 8.20632 | 0.654936 | 0.327468 | − | 0.944862i | \(-0.393805\pi\) | ||||
0.327468 | + | 0.944862i | \(0.393805\pi\) | |||||||
\(158\) | 16.1048i | 1.28123i | ||||||||
\(159\) | −0.945288 | − | 2.03936i | −0.0749662 | − | 0.161732i | ||||
\(160\) | − | 7.18439i | − | 0.567976i | ||||||
\(161\) | −4.14617 | −0.326764 | ||||||||
\(162\) | 2.79579 | + | 16.7517i | 0.219658 | + | 1.31614i | ||||
\(163\) | 3.02205 | 0.236705 | 0.118353 | − | 0.992972i | \(-0.462239\pi\) | ||||
0.118353 | + | 0.992972i | \(0.462239\pi\) | |||||||
\(164\) | −0.517131 | −0.0403811 | ||||||||
\(165\) | 5.50259 | − | 1.64971i | 0.428376 | − | 0.128429i | ||||
\(166\) | −25.1002 | −1.94816 | ||||||||
\(167\) | 4.24922 | 0.328814 | 0.164407 | − | 0.986393i | \(-0.447429\pi\) | ||||
0.164407 | + | 0.986393i | \(0.447429\pi\) | |||||||
\(168\) | 0.603508 | + | 1.30200i | 0.0465616 | + | 0.100452i | ||||
\(169\) | −10.1948 | −0.784212 | ||||||||
\(170\) | − | 12.4475i | − | 0.954678i | ||||||
\(171\) | 7.75860 | + | 6.57104i | 0.593315 | + | 0.502500i | ||||
\(172\) | − | 10.2266i | − | 0.779772i | ||||||
\(173\) | 13.0991 | 0.995904 | 0.497952 | − | 0.867204i | \(-0.334086\pi\) | ||||
0.497952 | + | 0.867204i | \(0.334086\pi\) | |||||||
\(174\) | 24.2912 | − | 11.2595i | 1.84151 | − | 0.853582i | ||||
\(175\) | − | 1.00000i | − | 0.0755929i | ||||||
\(176\) | 2.21096 | − | 15.3815i | 0.166657 | − | 1.15942i | ||||
\(177\) | 9.60710 | + | 20.7263i | 0.722114 | + | 1.55788i | ||||
\(178\) | 2.32525i | 0.174285i | ||||||||
\(179\) | − | 2.54943i | − | 0.190553i | −0.995451 | − | 0.0952766i | \(-0.969626\pi\) | ||
0.995451 | − | 0.0952766i | \(-0.0303735\pi\) | |||||||
\(180\) | −3.57341 | − | 3.02644i | −0.266346 | − | 0.225578i | ||||
\(181\) | −22.7396 | −1.69022 | −0.845111 | − | 0.534591i | \(-0.820466\pi\) | ||||
−0.845111 | + | 0.534591i | \(0.820466\pi\) | |||||||
\(182\) | 9.08818 | 0.673660 | ||||||||
\(183\) | 1.03011 | + | 2.22234i | 0.0761477 | + | 0.164280i | ||||
\(184\) | 3.43527i | 0.253251i | ||||||||
\(185\) | 1.20065i | 0.0882737i | ||||||||
\(186\) | 22.5181 | − | 10.4376i | 1.65111 | − | 0.765325i | ||||
\(187\) | 3.11270 | − | 21.6548i | 0.227623 | − | 1.58356i | ||||
\(188\) | 11.0573i | 0.806435i | ||||||||
\(189\) | 5.00974 | + | 1.37932i | 0.364405 | + | 0.100331i | ||||
\(190\) | −6.39539 | −0.463971 | ||||||||
\(191\) | − | 14.3775i | − | 1.04032i | −0.854068 | − | 0.520161i | \(-0.825872\pi\) | ||
0.854068 | − | 0.520161i | \(-0.174128\pi\) | |||||||
\(192\) | −6.57891 | + | 3.04947i | −0.474792 | + | 0.220077i | ||||
\(193\) | 4.94027i | 0.355608i | 0.984066 | + | 0.177804i | \(0.0568993\pi\) | ||||
−0.984066 | + | 0.177804i | \(0.943101\pi\) | |||||||
\(194\) | −34.6059 | −2.48456 | ||||||||
\(195\) | 7.56822 | − | 3.50804i | 0.541971 | − | 0.251216i | ||||
\(196\) | −1.56093 | −0.111495 | ||||||||
\(197\) | 17.5393 | 1.24962 | 0.624810 | − | 0.780777i | \(-0.285176\pi\) | ||||
0.624810 | + | 0.780777i | \(0.285176\pi\) | |||||||
\(198\) | −12.4554 | − | 14.0497i | −0.885169 | − | 0.998470i | ||||
\(199\) | 4.87616 | 0.345662 | 0.172831 | − | 0.984951i | \(-0.444709\pi\) | ||||
0.172831 | + | 0.984951i | \(0.444709\pi\) | |||||||
\(200\) | −0.828540 | −0.0585866 | ||||||||
\(201\) | −19.8244 | + | 9.18906i | −1.39831 | + | 0.648146i | ||||
\(202\) | 32.6724 | 2.29882 | ||||||||
\(203\) | − | 8.19160i | − | 0.574937i | ||||||
\(204\) | −16.1801 | + | 7.49985i | −1.13284 | + | 0.525095i | ||||
\(205\) | 0.331296i | 0.0231387i | ||||||||
\(206\) | −14.2456 | −0.992537 | ||||||||
\(207\) | 9.49174 | + | 8.03889i | 0.659721 | + | 0.558741i | ||||
\(208\) | − | 22.5651i | − | 1.56461i | ||||||
\(209\) | −11.1260 | − | 1.59928i | −0.769605 | − | 0.110624i | ||||
\(210\) | −2.96538 | + | 1.37452i | −0.204631 | + | 0.0948509i | ||||
\(211\) | 3.19746i | 0.220122i | 0.993925 | + | 0.110061i | \(0.0351046\pi\) | ||||
−0.993925 | + | 0.110061i | \(0.964895\pi\) | |||||||
\(212\) | − | 2.02572i | − | 0.139127i | ||||||
\(213\) | −3.95879 | − | 8.54067i | −0.271252 | − | 0.585197i | ||||
\(214\) | −20.3339 | −1.39000 | ||||||||
\(215\) | −6.55160 | −0.446816 | ||||||||
\(216\) | 1.14282 | − | 4.15077i | 0.0777590 | − | 0.282424i | ||||
\(217\) | − | 7.59366i | − | 0.515491i | ||||||
\(218\) | 2.97776i | 0.201679i | ||||||||
\(219\) | −6.19410 | − | 13.3631i | −0.418559 | − | 0.902995i | ||||
\(220\) | 5.12436 | + | 0.736584i | 0.345484 | + | 0.0496605i | ||||
\(221\) | − | 31.7683i | − | 2.13697i | ||||||
\(222\) | 3.56039 | − | 1.65032i | 0.238958 | − | 0.110762i | ||||
\(223\) | 20.2335 | 1.35493 | 0.677467 | − | 0.735554i | \(-0.263078\pi\) | ||||
0.677467 | + | 0.735554i | \(0.263078\pi\) | |||||||
\(224\) | 7.18439i | 0.480027i | ||||||||
\(225\) | −1.93887 | + | 2.28928i | −0.129258 | + | 0.152618i | ||||
\(226\) | − | 32.4045i | − | 2.15551i | ||||||
\(227\) | −1.32772 | −0.0881237 | −0.0440619 | − | 0.999029i | \(-0.514030\pi\) | ||||
−0.0440619 | + | 0.999029i | \(0.514030\pi\) | |||||||
\(228\) | 3.85335 | + | 8.31320i | 0.255195 | + | 0.550555i | ||||
\(229\) | 24.4769 | 1.61748 | 0.808739 | − | 0.588168i | \(-0.200151\pi\) | ||||
0.808739 | + | 0.588168i | \(0.200151\pi\) | |||||||
\(230\) | −7.82401 | −0.515900 | ||||||||
\(231\) | −5.50259 | + | 1.64971i | −0.362044 | + | 0.108543i | ||||
\(232\) | −6.78706 | −0.445592 | ||||||||
\(233\) | 7.24397 | 0.474568 | 0.237284 | − | 0.971440i | \(-0.423743\pi\) | ||||
0.237284 | + | 0.971440i | \(0.423743\pi\) | |||||||
\(234\) | −20.8053 | − | 17.6208i | −1.36009 | − | 1.15191i | ||||
\(235\) | 7.08376 | 0.462094 | ||||||||
\(236\) | 20.5877i | 1.34014i | ||||||||
\(237\) | −6.21646 | − | 13.4113i | −0.403802 | − | 0.871160i | ||||
\(238\) | 12.4475i | 0.806850i | ||||||||
\(239\) | 4.13420 | 0.267419 | 0.133710 | − | 0.991021i | \(-0.457311\pi\) | ||||
0.133710 | + | 0.991021i | \(0.457311\pi\) | |||||||
\(240\) | 3.41281 | + | 7.36277i | 0.220296 | + | 0.475265i | ||||
\(241\) | − | 12.8900i | − | 0.830315i | −0.909749 | − | 0.415158i | \(-0.863726\pi\) | ||
0.909749 | − | 0.415158i | \(-0.136274\pi\) | |||||||
\(242\) | 19.9171 | + | 5.84663i | 1.28032 | + | 0.375836i | ||||
\(243\) | −8.79436 | − | 12.8709i | −0.564159 | − | 0.825666i | ||||
\(244\) | 2.20748i | 0.141319i | ||||||||
\(245\) | 1.00000i | 0.0638877i | ||||||||
\(246\) | 0.982419 | − | 0.455373i | 0.0626368 | − | 0.0290335i | ||||
\(247\) | −16.3223 | −1.03856 | ||||||||
\(248\) | −6.29165 | −0.399520 | ||||||||
\(249\) | 20.9023 | − | 9.68869i | 1.32463 | − | 0.613996i | ||||
\(250\) | − | 1.88704i | − | 0.119347i | ||||||
\(251\) | 2.73625i | 0.172710i | 0.996264 | + | 0.0863552i | \(0.0275220\pi\) | ||||
−0.996264 | + | 0.0863552i | \(0.972478\pi\) | |||||||
\(252\) | 3.57341 | + | 3.02644i | 0.225103 | + | 0.190648i | ||||
\(253\) | −13.6114 | − | 1.95653i | −0.855742 | − | 0.123006i | ||||
\(254\) | − | 13.0053i | − | 0.816028i | ||||||
\(255\) | 4.80473 | + | 10.3657i | 0.300884 | + | 0.649124i | ||||
\(256\) | 20.5796 | 1.28622 | ||||||||
\(257\) | − | 18.1483i | − | 1.13206i | −0.824385 | − | 0.566029i | \(-0.808479\pi\) | ||
0.824385 | − | 0.566029i | \(-0.191521\pi\) | |||||||
\(258\) | 9.00532 | + | 19.4280i | 0.560646 | + | 1.20953i | ||||
\(259\) | − | 1.20065i | − | 0.0746049i | ||||||
\(260\) | 7.51760 | 0.466222 | ||||||||
\(261\) | −15.8824 | + | 18.7528i | −0.983098 | + | 1.16077i | ||||
\(262\) | −13.8232 | −0.854003 | ||||||||
\(263\) | 0.209670 | 0.0129288 | 0.00646441 | − | 0.999979i | \(-0.497942\pi\) | ||||
0.00646441 | + | 0.999979i | \(0.497942\pi\) | |||||||
\(264\) | 1.36685 | + | 4.55911i | 0.0841236 | + | 0.280594i | ||||
\(265\) | −1.29776 | −0.0797208 | ||||||||
\(266\) | 6.39539 | 0.392127 | ||||||||
\(267\) | −0.897548 | − | 1.93636i | −0.0549291 | − | 0.118504i | ||||
\(268\) | −19.6918 | −1.20287 | ||||||||
\(269\) | − | 19.0343i | − | 1.16054i | −0.814424 | − | 0.580271i | \(-0.802947\pi\) | ||
0.814424 | − | 0.580271i | \(-0.197053\pi\) | |||||||
\(270\) | 9.45359 | + | 2.60283i | 0.575327 | + | 0.158403i | ||||
\(271\) | 3.07086i | 0.186542i | 0.995641 | + | 0.0932708i | \(0.0297322\pi\) | ||||
−0.995641 | + | 0.0932708i | \(0.970268\pi\) | |||||||
\(272\) | 30.9059 | 1.87395 | ||||||||
\(273\) | −7.56822 | + | 3.50804i | −0.458049 | + | 0.212316i | ||||
\(274\) | − | 20.5240i | − | 1.23990i | ||||||
\(275\) | 0.471887 | − | 3.28288i | 0.0284559 | − | 0.197965i | ||||
\(276\) | 4.71412 | + | 10.1702i | 0.283757 | + | 0.612175i | ||||
\(277\) | 17.8382i | 1.07179i | 0.844284 | + | 0.535897i | \(0.180026\pi\) | ||||
−0.844284 | + | 0.535897i | \(0.819974\pi\) | |||||||
\(278\) | − | 22.7595i | − | 1.36502i | ||||||
\(279\) | −14.7231 | + | 17.3840i | −0.881449 | + | 1.04075i | ||||
\(280\) | 0.828540 | 0.0495147 | ||||||||
\(281\) | 24.7501 | 1.47647 | 0.738233 | − | 0.674546i | \(-0.235661\pi\) | ||||
0.738233 | + | 0.674546i | \(0.235661\pi\) | |||||||
\(282\) | −9.73678 | − | 21.0061i | −0.579817 | − | 1.25089i | ||||
\(283\) | − | 5.29389i | − | 0.314689i | −0.987544 | − | 0.157345i | \(-0.949707\pi\) | ||
0.987544 | − | 0.157345i | \(-0.0502933\pi\) | |||||||
\(284\) | − | 8.48354i | − | 0.503405i | ||||||
\(285\) | 5.32579 | − | 2.46862i | 0.315473 | − | 0.146229i | ||||
\(286\) | 29.8354 | + | 4.28859i | 1.76421 | + | 0.253590i | ||||
\(287\) | − | 0.331296i | − | 0.0195558i | ||||||
\(288\) | 13.9296 | − | 16.4470i | 0.820809 | − | 0.969152i | ||||
\(289\) | 26.5110 | 1.55947 | ||||||||
\(290\) | − | 15.4579i | − | 0.907719i | ||||||
\(291\) | 28.8182 | − | 13.3579i | 1.68935 | − | 0.783054i | ||||
\(292\) | − | 13.2737i | − | 0.776786i | ||||||
\(293\) | 1.00950 | 0.0589757 | 0.0294879 | − | 0.999565i | \(-0.490612\pi\) | ||||
0.0294879 | + | 0.999565i | \(0.490612\pi\) | |||||||
\(294\) | 2.96538 | − | 1.37452i | 0.172945 | − | 0.0801637i | ||||
\(295\) | 13.1893 | 0.767913 | ||||||||
\(296\) | −0.994788 | −0.0578209 | ||||||||
\(297\) | 15.7955 | + | 6.89217i | 0.916548 | + | 0.399924i | ||||
\(298\) | 27.8802 | 1.61506 | ||||||||
\(299\) | −19.9684 | −1.15480 | ||||||||
\(300\) | −2.45292 | + | 1.13698i | −0.141619 | + | 0.0656437i | ||||
\(301\) | 6.55160 | 0.377628 | ||||||||
\(302\) | − | 32.5891i | − | 1.87529i | ||||||
\(303\) | −27.2081 | + | 12.6115i | −1.56306 | + | 0.724515i | ||||
\(304\) | − | 15.8792i | − | 0.910733i | ||||||
\(305\) | 1.41421 | 0.0809772 | ||||||||
\(306\) | 24.1340 | − | 28.4957i | 1.37965 | − | 1.62899i | ||||
\(307\) | − | 20.5059i | − | 1.17033i | −0.810914 | − | 0.585165i | \(-0.801030\pi\) | ||
0.810914 | − | 0.585165i | \(-0.198970\pi\) | |||||||
\(308\) | −5.12436 | − | 0.736584i | −0.291987 | − | 0.0419708i | ||||
\(309\) | 11.8631 | − | 5.49880i | 0.674867 | − | 0.312816i | ||||
\(310\) | − | 14.3296i | − | 0.813864i | ||||||
\(311\) | 4.56242i | 0.258711i | 0.991598 | + | 0.129356i | \(0.0412909\pi\) | ||||
−0.991598 | + | 0.129356i | \(0.958709\pi\) | |||||||
\(312\) | 2.90655 | + | 6.27057i | 0.164551 | + | 0.355001i | ||||
\(313\) | −18.7483 | −1.05971 | −0.529857 | − | 0.848087i | \(-0.677755\pi\) | ||||
−0.529857 | + | 0.848087i | \(0.677755\pi\) | |||||||
\(314\) | −15.4857 | −0.873908 | ||||||||
\(315\) | 1.93887 | − | 2.28928i | 0.109243 | − | 0.128986i | ||||
\(316\) | − | 13.3216i | − | 0.749401i | ||||||
\(317\) | 0.535056i | 0.0300518i | 0.999887 | + | 0.0150259i | \(0.00478307\pi\) | ||||
−0.999887 | + | 0.0150259i | \(0.995217\pi\) | |||||||
\(318\) | 1.78380 | + | 3.84836i | 0.100031 | + | 0.215805i | ||||
\(319\) | 3.86551 | − | 26.8921i | 0.216427 | − | 1.50567i | ||||
\(320\) | 4.18654i | 0.234035i | ||||||||
\(321\) | 16.9331 | − | 7.84889i | 0.945116 | − | 0.438082i | ||||
\(322\) | 7.82401 | 0.436015 | ||||||||
\(323\) | − | 22.3555i | − | 1.24389i | ||||||
\(324\) | −2.31263 | − | 13.8567i | −0.128480 | − | 0.769818i | ||||
\(325\) | − | 4.81609i | − | 0.267149i | ||||||
\(326\) | −5.70274 | −0.315846 | ||||||||
\(327\) | −1.14942 | − | 2.47974i | −0.0635628 | − | 0.137130i | ||||
\(328\) | −0.274492 | −0.0151563 | ||||||||
\(329\) | −7.08376 | −0.390541 | ||||||||
\(330\) | −10.3836 | + | 3.11307i | −0.571600 | + | 0.171369i | ||||
\(331\) | −28.0830 | −1.54358 | −0.771791 | − | 0.635877i | \(-0.780639\pi\) | ||||
−0.771791 | + | 0.635877i | \(0.780639\pi\) | |||||||
\(332\) | 20.7625 | 1.13949 | ||||||||
\(333\) | −2.32791 | + | 2.74862i | −0.127569 | + | 0.150624i | ||||
\(334\) | −8.01846 | −0.438750 | ||||||||
\(335\) | 12.6154i | 0.689254i | ||||||||
\(336\) | −3.41281 | − | 7.36277i | −0.186184 | − | 0.401672i | ||||
\(337\) | 24.4783i | 1.33342i | 0.745318 | + | 0.666709i | \(0.232298\pi\) | ||||
−0.745318 | + | 0.666709i | \(0.767702\pi\) | |||||||
\(338\) | 19.2379 | 1.04641 | ||||||||
\(339\) | 12.5081 | + | 26.9850i | 0.679349 | + | 1.46562i | ||||
\(340\) | 10.2964i | 0.558398i | ||||||||
\(341\) | 3.58335 | − | 24.9291i | 0.194049 | − | 1.34999i | ||||
\(342\) | −14.6408 | − | 12.3998i | −0.791685 | − | 0.670506i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | − | 5.42826i | − | 0.292672i | ||||||
\(345\) | 6.51548 | − | 3.02007i | 0.350782 | − | 0.162595i | ||||
\(346\) | −24.7185 | −1.32888 | ||||||||
\(347\) | −7.24327 | −0.388839 | −0.194420 | − | 0.980918i | \(-0.562282\pi\) | ||||
−0.194420 | + | 0.980918i | \(0.562282\pi\) | |||||||
\(348\) | −20.0933 | + | 9.31370i | −1.07711 | + | 0.499266i | ||||
\(349\) | − | 2.97055i | − | 0.159010i | −0.996834 | − | 0.0795051i | \(-0.974666\pi\) | ||
0.996834 | − | 0.0795051i | \(-0.0253340\pi\) | |||||||
\(350\) | 1.88704i | 0.100867i | ||||||||
\(351\) | 24.1274 | + | 6.64292i | 1.28782 | + | 0.354573i | ||||
\(352\) | −3.39022 | + | 23.5855i | −0.180699 | + | 1.25711i | ||||
\(353\) | − | 5.03630i | − | 0.268055i | −0.990978 | − | 0.134028i | \(-0.957209\pi\) | ||
0.990978 | − | 0.134028i | \(-0.0427911\pi\) | |||||||
\(354\) | −18.1290 | − | 39.1114i | −0.963547 | − | 2.07875i | ||||
\(355\) | −5.43492 | −0.288456 | ||||||||
\(356\) | − | 1.92341i | − | 0.101941i | ||||||
\(357\) | −4.80473 | − | 10.3657i | −0.254293 | − | 0.548610i | ||||
\(358\) | 4.81088i | 0.254263i | ||||||||
\(359\) | 23.2996 | 1.22970 | 0.614852 | − | 0.788643i | \(-0.289216\pi\) | ||||
0.614852 | + | 0.788643i | \(0.289216\pi\) | |||||||
\(360\) | −1.89676 | − | 1.60643i | −0.0999678 | − | 0.0846663i | ||||
\(361\) | 7.51395 | 0.395471 | ||||||||
\(362\) | 42.9106 | 2.25533 | ||||||||
\(363\) | −18.8428 | + | 2.81919i | −0.988992 | + | 0.147969i | ||||
\(364\) | −7.51760 | −0.394029 | ||||||||
\(365\) | −8.50372 | −0.445105 | ||||||||
\(366\) | −1.94386 | − | 4.19366i | −0.101607 | − | 0.219206i | ||||
\(367\) | 7.22034 | 0.376899 | 0.188449 | − | 0.982083i | \(-0.439654\pi\) | ||||
0.188449 | + | 0.982083i | \(0.439654\pi\) | |||||||
\(368\) | − | 19.4263i | − | 1.01267i | ||||||
\(369\) | −0.642340 | + | 0.758428i | −0.0334389 | + | 0.0394822i | ||||
\(370\) | − | 2.26568i | − | 0.117787i | ||||||
\(371\) | 1.29776 | 0.0673764 | ||||||||
\(372\) | −18.6266 | + | 8.63385i | −0.965745 | + | 0.447644i | ||||
\(373\) | 16.5566i | 0.857267i | 0.903478 | + | 0.428633i | \(0.141005\pi\) | ||||
−0.903478 | + | 0.428633i | \(0.858995\pi\) | |||||||
\(374\) | −5.87380 | + | 40.8636i | −0.303727 | + | 2.11301i | ||||
\(375\) | 0.728399 | + | 1.57144i | 0.0376144 | + | 0.0811490i | ||||
\(376\) | 5.86918i | 0.302680i | ||||||||
\(377\) | − | 39.4515i | − | 2.03186i | ||||||
\(378\) | −9.45359 | − | 2.60283i | −0.486240 | − | 0.133875i | ||||
\(379\) | −7.35634 | −0.377870 | −0.188935 | − | 0.981990i | \(-0.560504\pi\) | ||||
−0.188935 | + | 0.981990i | \(0.560504\pi\) | |||||||
\(380\) | 5.29017 | 0.271380 | ||||||||
\(381\) | 5.02006 | + | 10.8303i | 0.257186 | + | 0.554851i | ||||
\(382\) | 27.1310i | 1.38814i | ||||||||
\(383\) | 4.20119i | 0.214671i | 0.994223 | + | 0.107335i | \(0.0342318\pi\) | ||||
−0.994223 | + | 0.107335i | \(0.965768\pi\) | |||||||
\(384\) | −10.1650 | + | 4.71172i | −0.518732 | + | 0.240444i | ||||
\(385\) | −0.471887 | + | 3.28288i | −0.0240496 | + | 0.167311i | ||||
\(386\) | − | 9.32249i | − | 0.474502i | ||||||
\(387\) | −14.9984 | − | 12.7027i | −0.762413 | − | 0.645715i | ||||
\(388\) | 28.6255 | 1.45324 | ||||||||
\(389\) | 32.7572i | 1.66085i | 0.557127 | + | 0.830427i | \(0.311904\pi\) | ||||
−0.557127 | + | 0.830427i | \(0.688096\pi\) | |||||||
\(390\) | −14.2816 | + | 6.61982i | −0.723175 | + | 0.335208i | ||||
\(391\) | − | 27.3493i | − | 1.38312i | ||||||
\(392\) | −0.828540 | −0.0418476 | ||||||||
\(393\) | 11.5114 | − | 5.33578i | 0.580672 | − | 0.269154i | ||||
\(394\) | −33.0973 | −1.66742 | ||||||||
\(395\) | −8.53441 | −0.429413 | ||||||||
\(396\) | 10.3029 | + | 11.6217i | 0.517742 | + | 0.584013i | ||||
\(397\) | −30.2037 | −1.51588 | −0.757940 | − | 0.652325i | \(-0.773794\pi\) | ||||
−0.757940 | + | 0.652325i | \(0.773794\pi\) | |||||||
\(398\) | −9.20153 | −0.461231 | ||||||||
\(399\) | −5.32579 | + | 2.46862i | −0.266623 | + | 0.123586i | ||||
\(400\) | 4.68535 | 0.234268 | ||||||||
\(401\) | 27.3517i | 1.36588i | 0.730476 | + | 0.682939i | \(0.239298\pi\) | ||||
−0.730476 | + | 0.682939i | \(0.760702\pi\) | |||||||
\(402\) | 37.4095 | − | 17.3402i | 1.86582 | − | 0.864848i | ||||
\(403\) | − | 36.5718i | − | 1.82177i | ||||||
\(404\) | −27.0261 | −1.34460 | ||||||||
\(405\) | −8.87721 | + | 1.48157i | −0.441112 | + | 0.0736199i | ||||
\(406\) | 15.4579i | 0.767162i | ||||||||
\(407\) | 0.566572 | − | 3.94160i | 0.0280840 | − | 0.195378i | ||||
\(408\) | −8.58838 | + | 3.98091i | −0.425188 | + | 0.197084i | ||||
\(409\) | − | 29.4695i | − | 1.45717i | −0.684954 | − | 0.728586i | \(-0.740178\pi\) | ||
0.684954 | − | 0.728586i | \(-0.259822\pi\) | |||||||
\(410\) | − | 0.625170i | − | 0.0308749i | ||||||
\(411\) | 7.92226 | + | 17.0914i | 0.390776 | + | 0.843058i | ||||
\(412\) | 11.7837 | 0.580543 | ||||||||
\(413\) | −13.1893 | −0.649005 | ||||||||
\(414\) | −17.9113 | − | 15.1697i | −0.880293 | − | 0.745552i | ||||
\(415\) | − | 13.3014i | − | 0.652938i | ||||||
\(416\) | 34.6007i | 1.69644i | ||||||||
\(417\) | 8.78517 | + | 18.9531i | 0.430212 | + | 0.928136i | ||||
\(418\) | 20.9953 | + | 3.01790i | 1.02691 | + | 0.147611i | ||||
\(419\) | − | 26.7445i | − | 1.30655i | −0.757119 | − | 0.653277i | \(-0.773394\pi\) | ||
0.757119 | − | 0.653277i | \(-0.226606\pi\) | |||||||
\(420\) | 2.45292 | − | 1.13698i | 0.119690 | − | 0.0554790i | ||||
\(421\) | −26.2827 | −1.28094 | −0.640471 | − | 0.767983i | \(-0.721261\pi\) | ||||
−0.640471 | + | 0.767983i | \(0.721261\pi\) | |||||||
\(422\) | − | 6.03374i | − | 0.293718i | ||||||
\(423\) | 16.2167 | + | 13.7345i | 0.788483 | + | 0.667794i | ||||
\(424\) | − | 1.07525i | − | 0.0522186i | ||||||
\(425\) | 6.59628 | 0.319967 | ||||||||
\(426\) | 7.47041 | + | 16.1166i | 0.361942 | + | 0.780852i | ||||
\(427\) | −1.41421 | −0.0684382 | ||||||||
\(428\) | 16.8199 | 0.813019 | ||||||||
\(429\) | −26.5010 | + | 7.94513i | −1.27948 | + | 0.383595i | ||||
\(430\) | 12.3632 | 0.596205 | ||||||||
\(431\) | −25.5386 | −1.23015 | −0.615075 | − | 0.788468i | \(-0.710874\pi\) | ||||
−0.615075 | + | 0.788468i | \(0.710874\pi\) | |||||||
\(432\) | −6.46259 | + | 23.4724i | −0.310931 | + | 1.12932i | ||||
\(433\) | 17.9211 | 0.861235 | 0.430617 | − | 0.902535i | \(-0.358296\pi\) | ||||
0.430617 | + | 0.902535i | \(0.358296\pi\) | |||||||
\(434\) | 14.3296i | 0.687841i | ||||||||
\(435\) | 5.96675 | + | 12.8726i | 0.286084 | + | 0.617195i | ||||
\(436\) | − | 2.46316i | − | 0.117964i | ||||||
\(437\) | −14.0518 | −0.672190 | ||||||||
\(438\) | 11.6885 | + | 25.2168i | 0.558500 | + | 1.20490i | ||||
\(439\) | 40.4391i | 1.93005i | 0.262155 | + | 0.965026i | \(0.415567\pi\) | ||||
−0.262155 | + | 0.965026i | \(0.584433\pi\) | |||||||
\(440\) | 2.72000 | + | 0.390977i | 0.129671 | + | 0.0186391i | ||||
\(441\) | −1.93887 | + | 2.28928i | −0.0923271 | + | 0.109013i | ||||
\(442\) | 59.9482i | 2.85144i | ||||||||
\(443\) | − | 16.0411i | − | 0.762136i | −0.924547 | − | 0.381068i | \(-0.875556\pi\) | ||
0.924547 | − | 0.381068i | \(-0.124444\pi\) | |||||||
\(444\) | −2.94510 | + | 1.36512i | −0.139768 | + | 0.0647857i | ||||
\(445\) | −1.23222 | −0.0584128 | ||||||||
\(446\) | −38.1814 | −1.80794 | ||||||||
\(447\) | −23.2174 | + | 10.7618i | −1.09814 | + | 0.509014i | ||||
\(448\) | − | 4.18654i | − | 0.197795i | ||||||
\(449\) | − | 15.8914i | − | 0.749963i | −0.927032 | − | 0.374981i | \(-0.877649\pi\) | ||
0.927032 | − | 0.374981i | \(-0.122351\pi\) | |||||||
\(450\) | 3.65873 | − | 4.31996i | 0.172474 | − | 0.203645i | ||||
\(451\) | 0.156334 | − | 1.08761i | 0.00736150 | − | 0.0512134i | ||||
\(452\) | 26.8045i | 1.26078i | ||||||||
\(453\) | 12.5794 | + | 27.1387i | 0.591031 | + | 1.27509i | ||||
\(454\) | 2.50546 | 0.117587 | ||||||||
\(455\) | 4.81609i | 0.225782i | ||||||||
\(456\) | 2.04535 | + | 4.41263i | 0.0957824 | + | 0.206640i | ||||
\(457\) | − | 14.7199i | − | 0.688570i | −0.938865 | − | 0.344285i | \(-0.888121\pi\) | ||
0.938865 | − | 0.344285i | \(-0.111879\pi\) | |||||||
\(458\) | −46.1889 | −2.15827 | ||||||||
\(459\) | −9.09836 | + | 33.0457i | −0.424675 | + | 1.54244i | ||||
\(460\) | 6.47190 | 0.301754 | ||||||||
\(461\) | 9.59090 | 0.446693 | 0.223346 | − | 0.974739i | \(-0.428302\pi\) | ||||
0.223346 | + | 0.974739i | \(0.428302\pi\) | |||||||
\(462\) | 10.3836 | − | 3.11307i | 0.483090 | − | 0.144833i | ||||
\(463\) | −21.1432 | −0.982607 | −0.491304 | − | 0.870988i | \(-0.663479\pi\) | ||||
−0.491304 | + | 0.870988i | \(0.663479\pi\) | |||||||
\(464\) | 38.3805 | 1.78177 | ||||||||
\(465\) | 5.53121 | + | 11.9330i | 0.256504 | + | 0.553380i | ||||
\(466\) | −13.6697 | −0.633236 | ||||||||
\(467\) | − | 28.6347i | − | 1.32505i | −0.749038 | − | 0.662527i | \(-0.769484\pi\) | ||
0.749038 | − | 0.662527i | \(-0.230516\pi\) | |||||||
\(468\) | 17.2099 | + | 14.5756i | 0.795526 | + | 0.673759i | ||||
\(469\) | − | 12.6154i | − | 0.582526i | ||||||
\(470\) | −13.3674 | −0.616591 | ||||||||
\(471\) | 12.8958 | − | 5.97748i | 0.594206 | − | 0.275428i | ||||
\(472\) | 10.9279i | 0.502997i | ||||||||
\(473\) | 21.5082 | + | 3.09162i | 0.988946 | + | 0.142153i | ||||
\(474\) | 11.7307 | + | 25.3078i | 0.538810 | + | 1.16243i | ||||
\(475\) | − | 3.38911i | − | 0.155503i | ||||||
\(476\) | − | 10.2964i | − | 0.471933i | ||||||
\(477\) | −2.97093 | − | 2.51619i | −0.136030 | − | 0.115208i | ||||
\(478\) | −7.80141 | −0.356828 | ||||||||
\(479\) | −12.1373 | −0.554565 | −0.277283 | − | 0.960788i | \(-0.589434\pi\) | ||||
−0.277283 | + | 0.960788i | \(0.589434\pi\) | |||||||
\(480\) | −5.23310 | − | 11.2899i | −0.238857 | − | 0.515309i | ||||
\(481\) | − | 5.78245i | − | 0.263657i | ||||||
\(482\) | 24.3239i | 1.10792i | ||||||||
\(483\) | −6.51548 | + | 3.02007i | −0.296465 | + | 0.137418i | ||||
\(484\) | −16.4751 | − | 4.83624i | −0.748868 | − | 0.219829i | ||||
\(485\) | − | 18.3387i | − | 0.832717i | ||||||
\(486\) | 16.5953 | + | 24.2879i | 0.752780 | + | 1.10172i | ||||
\(487\) | −30.6300 | −1.38798 | −0.693990 | − | 0.719985i | \(-0.744149\pi\) | ||||
−0.693990 | + | 0.719985i | \(0.744149\pi\) | |||||||
\(488\) | 1.17173i | 0.0530415i | ||||||||
\(489\) | 4.74898 | − | 2.20126i | 0.214756 | − | 0.0995444i | ||||
\(490\) | − | 1.88704i | − | 0.0852479i | ||||||
\(491\) | −23.0703 | −1.04115 | −0.520573 | − | 0.853817i | \(-0.674282\pi\) | ||||
−0.520573 | + | 0.853817i | \(0.674282\pi\) | |||||||
\(492\) | −0.812642 | + | 0.376678i | −0.0366367 | + | 0.0169819i | ||||
\(493\) | 54.0341 | 2.43357 | ||||||||
\(494\) | 30.8008 | 1.38579 | ||||||||
\(495\) | 7.44536 | − | 6.60050i | 0.334644 | − | 0.296670i | ||||
\(496\) | 35.5790 | 1.59754 | ||||||||
\(497\) | 5.43492 | 0.243789 | ||||||||
\(498\) | −39.4436 | + | 18.2830i | −1.76751 | + | 0.819280i | ||||
\(499\) | 17.7806 | 0.795969 | 0.397985 | − | 0.917392i | \(-0.369710\pi\) | ||||
0.397985 | + | 0.917392i | \(0.369710\pi\) | |||||||
\(500\) | 1.56093i | 0.0698070i | ||||||||
\(501\) | 6.67741 | − | 3.09513i | 0.298324 | − | 0.138280i | ||||
\(502\) | − | 5.16342i | − | 0.230455i | ||||||
\(503\) | 8.03647 | 0.358329 | 0.179164 | − | 0.983819i | \(-0.442661\pi\) | ||||
0.179164 | + | 0.983819i | \(0.442661\pi\) | |||||||
\(504\) | 1.89676 | + | 1.60643i | 0.0844882 | + | 0.0715561i | ||||
\(505\) | 17.3141i | 0.770466i | ||||||||
\(506\) | 25.6853 | + | 3.69205i | 1.14185 | + | 0.164132i | ||||
\(507\) | −16.0205 | + | 7.42585i | −0.711495 | + | 0.329794i | ||||
\(508\) | 10.7578i | 0.477301i | ||||||||
\(509\) | 35.0407i | 1.55315i | 0.630023 | + | 0.776576i | \(0.283045\pi\) | ||||
−0.630023 | + | 0.776576i | \(0.716955\pi\) | |||||||
\(510\) | −9.06673 | − | 19.5605i | −0.401481 | − | 0.866153i | ||||
\(511\) | 8.50372 | 0.376182 | ||||||||
\(512\) | −25.8974 | −1.14451 | ||||||||
\(513\) | 16.9785 | + | 4.67465i | 0.749621 | + | 0.206391i | ||||
\(514\) | 34.2466i | 1.51055i | ||||||||
\(515\) | − | 7.54916i | − | 0.332656i | ||||||
\(516\) | −7.44905 | − | 16.0705i | −0.327926 | − | 0.707466i | ||||
\(517\) | −23.2552 | − | 3.34274i | −1.02276 | − | 0.147013i | ||||
\(518\) | 2.26568i | 0.0995484i | ||||||||
\(519\) | 20.5845 | − | 9.54136i | 0.903557 | − | 0.418819i | ||||
\(520\) | 3.99032 | 0.174987 | ||||||||
\(521\) | 11.8477i | 0.519056i | 0.965736 | + | 0.259528i | \(0.0835669\pi\) | ||||
−0.965736 | + | 0.259528i | \(0.916433\pi\) | |||||||
\(522\) | 29.9708 | − | 35.3874i | 1.31179 | − | 1.54886i | ||||
\(523\) | 15.1192i | 0.661115i | 0.943786 | + | 0.330558i | \(0.107237\pi\) | ||||
−0.943786 | + | 0.330558i | \(0.892763\pi\) | |||||||
\(524\) | 11.4344 | 0.499513 | ||||||||
\(525\) | −0.728399 | − | 1.57144i | −0.0317899 | − | 0.0685834i | ||||
\(526\) | −0.395657 | −0.0172514 | ||||||||
\(527\) | 50.0899 | 2.18195 | ||||||||
\(528\) | −7.72945 | − | 25.7816i | −0.336381 | − | 1.12200i | ||||
\(529\) | 5.80924 | 0.252576 | ||||||||
\(530\) | 2.44893 | 0.106375 | ||||||||
\(531\) | 30.1940 | + | 25.5724i | 1.31031 | + | 1.10975i | ||||
\(532\) | −5.29017 | −0.229358 | ||||||||
\(533\) | − | 1.59555i | − | 0.0691111i | ||||||
\(534\) | 1.69371 | + | 3.65400i | 0.0732941 | + | 0.158124i | ||||
\(535\) | − | 10.7755i | − | 0.465867i | ||||||
\(536\) | −10.4524 | −0.451474 | ||||||||
\(537\) | −1.85700 | − | 4.00628i | −0.0801355 | − | 0.172884i | ||||
\(538\) | 35.9185i | 1.54856i | ||||||||
\(539\) | 0.471887 | − | 3.28288i | 0.0203256 | − | 0.141404i | ||||
\(540\) | −7.81986 | − | 2.15302i | −0.336513 | − | 0.0926512i | ||||
\(541\) | 14.7251i | 0.633081i | 0.948579 | + | 0.316540i | \(0.102521\pi\) | ||||
−0.948579 | + | 0.316540i | \(0.897479\pi\) | |||||||
\(542\) | − | 5.79485i | − | 0.248910i | ||||||
\(543\) | −35.7340 | + | 16.5635i | −1.53349 | + | 0.710808i | ||||
\(544\) | −47.3903 | −2.03184 | ||||||||
\(545\) | −1.57800 | −0.0675942 | ||||||||
\(546\) | 14.2816 | − | 6.61982i | 0.611194 | − | 0.283302i | ||||
\(547\) | − | 0.167747i | − | 0.00717234i | −0.999994 | − | 0.00358617i | \(-0.998858\pi\) | ||
0.999994 | − | 0.00358617i | \(-0.00114152\pi\) | |||||||
\(548\) | 16.9771i | 0.725226i | ||||||||
\(549\) | 3.23751 | + | 2.74196i | 0.138173 | + | 0.117024i | ||||
\(550\) | −0.890472 | + | 6.19494i | −0.0379698 | + | 0.264153i | ||||
\(551\) | − | 27.7622i | − | 1.18271i | ||||||
\(552\) | 2.50225 | + | 5.39833i | 0.106503 | + | 0.229768i | ||||
\(553\) | 8.53441 | 0.362920 | ||||||||
\(554\) | − | 33.6614i | − | 1.43014i | ||||||
\(555\) | 0.874554 | + | 1.88676i | 0.0371228 | + | 0.0800884i | ||||
\(556\) | 18.8263i | 0.798413i | ||||||||
\(557\) | −36.4274 | −1.54348 | −0.771739 | − | 0.635940i | \(-0.780613\pi\) | ||||
−0.771739 | + | 0.635940i | \(0.780613\pi\) | |||||||
\(558\) | 27.7831 | − | 32.8043i | 1.17615 | − | 1.38872i | ||||
\(559\) | 31.5531 | 1.33456 | ||||||||
\(560\) | −4.68535 | −0.197992 | ||||||||
\(561\) | −10.8819 | − | 36.2966i | −0.459435 | − | 1.53244i | ||||
\(562\) | −46.7044 | −1.97011 | ||||||||
\(563\) | 14.0561 | 0.592394 | 0.296197 | − | 0.955127i | \(-0.404282\pi\) | ||||
0.296197 | + | 0.955127i | \(0.404282\pi\) | |||||||
\(564\) | 8.05411 | + | 17.3759i | 0.339139 | + | 0.731657i | ||||
\(565\) | 17.1721 | 0.722435 | ||||||||
\(566\) | 9.98980i | 0.419903i | ||||||||
\(567\) | 8.87721 | − | 1.48157i | 0.372808 | − | 0.0622202i | ||||
\(568\) | − | 4.50305i | − | 0.188944i | ||||||
\(569\) | −39.7142 | −1.66491 | −0.832453 | − | 0.554096i | \(-0.813064\pi\) | ||||
−0.832453 | + | 0.554096i | \(0.813064\pi\) | |||||||
\(570\) | −10.0500 | + | 4.65840i | −0.420948 | + | 0.195119i | ||||
\(571\) | 14.2732i | 0.597315i | 0.954360 | + | 0.298657i | \(0.0965387\pi\) | ||||
−0.954360 | + | 0.298657i | \(0.903461\pi\) | |||||||
\(572\) | −24.6794 | − | 3.54746i | −1.03190 | − | 0.148327i | ||||
\(573\) | −10.4726 | − | 22.5935i | −0.437498 | − | 0.943856i | ||||
\(574\) | 0.625170i | 0.0260941i | ||||||||
\(575\) | − | 4.14617i | − | 0.172907i | ||||||
\(576\) | −8.11716 | + | 9.58415i | −0.338215 | + | 0.399340i | ||||
\(577\) | −9.06939 | −0.377564 | −0.188782 | − | 0.982019i | \(-0.560454\pi\) | ||||
−0.188782 | + | 0.982019i | \(0.560454\pi\) | |||||||
\(578\) | −50.0273 | −2.08086 | ||||||||
\(579\) | 3.59849 | + | 7.76335i | 0.149548 | + | 0.322634i | ||||
\(580\) | 12.7865i | 0.530932i | ||||||||
\(581\) | 13.3014i | 0.551833i | ||||||||
\(582\) | −54.3812 | + | 25.2069i | −2.25417 | + | 1.04486i | ||||
\(583\) | 4.26040 | + | 0.612397i | 0.176448 | + | 0.0253629i | ||||
\(584\) | − | 7.04567i | − | 0.291552i | ||||||
\(585\) | 9.33778 | − | 11.0254i | 0.386070 | − | 0.455843i | ||||
\(586\) | −1.90497 | −0.0786938 | ||||||||
\(587\) | 32.6316i | 1.34685i | 0.739256 | + | 0.673425i | \(0.235177\pi\) | ||||
−0.739256 | + | 0.673425i | \(0.764823\pi\) | |||||||
\(588\) | −2.45292 | + | 1.13698i | −0.101157 | + | 0.0468883i | ||||
\(589\) | − | 25.7357i | − | 1.06042i | ||||||
\(590\) | −24.8889 | −1.02466 | ||||||||
\(591\) | 27.5619 | − | 12.7756i | 1.13375 | − | 0.525517i | ||||
\(592\) | 5.62548 | 0.231206 | ||||||||
\(593\) | 29.5381 | 1.21298 | 0.606492 | − | 0.795090i | \(-0.292576\pi\) | ||||
0.606492 | + | 0.795090i | \(0.292576\pi\) | |||||||
\(594\) | −29.8068 | − | 13.0058i | −1.22299 | − | 0.533635i | ||||
\(595\) | −6.59628 | −0.270421 | ||||||||
\(596\) | −23.0621 | −0.944659 | ||||||||
\(597\) | 7.66262 | − | 3.55179i | 0.313610 | − | 0.145365i | ||||
\(598\) | 37.6812 | 1.54090 | ||||||||
\(599\) | 0.400987i | 0.0163839i | 0.999966 | + | 0.00819193i | \(0.00260760\pi\) | ||||
−0.999966 | + | 0.00819193i | \(0.997392\pi\) | |||||||
\(600\) | −1.30200 | + | 0.603508i | −0.0531541 | + | 0.0246381i | ||||
\(601\) | 47.0976i | 1.92115i | 0.278017 | + | 0.960576i | \(0.410323\pi\) | ||||
−0.278017 | + | 0.960576i | \(0.589677\pi\) | |||||||
\(602\) | −12.3632 | −0.503885 | ||||||||
\(603\) | −24.4596 | + | 28.8802i | −0.996074 | + | 1.17609i | ||||
\(604\) | 26.9572i | 1.09687i | ||||||||
\(605\) | −3.09830 | + | 10.5546i | −0.125964 | + | 0.429107i | ||||
\(606\) | 51.3428 | − | 23.7985i | 2.08566 | − | 0.966750i | ||||
\(607\) | 0.531467i | 0.0215716i | 0.999942 | + | 0.0107858i | \(0.00343329\pi\) | ||||
−0.999942 | + | 0.0107858i | \(0.996567\pi\) | |||||||
\(608\) | 24.3487i | 0.987469i | ||||||||
\(609\) | −5.96675 | − | 12.8726i | −0.241785 | − | 0.521625i | ||||
\(610\) | −2.66867 | −0.108051 | ||||||||
\(611\) | −34.1161 | −1.38019 | ||||||||
\(612\) | −19.9633 | + | 23.5712i | −0.806968 | + | 0.952809i | ||||
\(613\) | 17.6834i | 0.714227i | 0.934061 | + | 0.357113i | \(0.116239\pi\) | ||||
−0.934061 | + | 0.357113i | \(0.883761\pi\) | |||||||
\(614\) | 38.6954i | 1.56162i | ||||||||
\(615\) | 0.241316 | + | 0.520613i | 0.00973079 | + | 0.0209931i | ||||
\(616\) | −2.72000 | − | 0.390977i | −0.109592 | − | 0.0157529i | ||||
\(617\) | 7.18204i | 0.289138i | 0.989495 | + | 0.144569i | \(0.0461796\pi\) | ||||
−0.989495 | + | 0.144569i | \(0.953820\pi\) | |||||||
\(618\) | −22.3861 | + | 10.3765i | −0.900503 | + | 0.417403i | ||||
\(619\) | 13.7657 | 0.553290 | 0.276645 | − | 0.960972i | \(-0.410777\pi\) | ||||
0.276645 | + | 0.960972i | \(0.410777\pi\) | |||||||
\(620\) | 11.8532i | 0.476035i | ||||||||
\(621\) | 20.7713 | + | 5.71889i | 0.833522 | + | 0.229491i | ||||
\(622\) | − | 8.60949i | − | 0.345209i | ||||||
\(623\) | 1.23222 | 0.0493679 | ||||||||
\(624\) | −16.4364 | − | 35.4598i | −0.657983 | − | 1.41953i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 35.3788 | 1.41402 | ||||||||
\(627\) | −18.6489 | + | 5.59103i | −0.744764 | + | 0.223284i | ||||
\(628\) | 12.8095 | 0.511155 | ||||||||
\(629\) | 7.91984 | 0.315785 | ||||||||
\(630\) | −3.65873 | + | 4.31996i | −0.145767 | + | 0.172111i | ||||
\(631\) | 20.4440 | 0.813861 | 0.406931 | − | 0.913459i | \(-0.366599\pi\) | ||||
0.406931 | + | 0.913459i | \(0.366599\pi\) | |||||||
\(632\) | − | 7.07110i | − | 0.281273i | ||||||
\(633\) | 2.32902 | + | 5.02462i | 0.0925704 | + | 0.199711i | ||||
\(634\) | − | 1.00967i | − | 0.0400993i | ||||||
\(635\) | 6.89191 | 0.273497 | ||||||||
\(636\) | −1.47553 | − | 3.18330i | −0.0585086 | − | 0.126226i | ||||
\(637\) | − | 4.81609i | − | 0.190821i | ||||||
\(638\) | −7.29438 | + | 50.7465i | −0.288787 | + | 2.00907i | ||||
\(639\) | −12.4420 | − | 10.5376i | −0.492199 | − | 0.416861i | ||||
\(640\) | 6.46859i | 0.255694i | ||||||||
\(641\) | 37.8085i | 1.49335i | 0.665192 | + | 0.746673i | \(0.268350\pi\) | ||||
−0.665192 | + | 0.746673i | \(0.731650\pi\) | |||||||
\(642\) | −31.9536 | + | 14.8112i | −1.26111 | + | 0.584551i | ||||
\(643\) | −21.6376 | −0.853303 | −0.426651 | − | 0.904416i | \(-0.640307\pi\) | ||||
−0.426651 | + | 0.904416i | \(0.640307\pi\) | |||||||
\(644\) | −6.47190 | −0.255028 | ||||||||
\(645\) | −10.2955 | + | 4.77218i | −0.405384 | + | 0.187905i | ||||
\(646\) | 42.1858i | 1.65978i | ||||||||
\(647\) | 4.17226i | 0.164029i | 0.996631 | + | 0.0820143i | \(0.0261353\pi\) | ||||
−0.996631 | + | 0.0820143i | \(0.973865\pi\) | |||||||
\(648\) | −1.22754 | − | 7.35513i | −0.0482224 | − | 0.288937i | ||||
\(649\) | −43.2991 | − | 6.22388i | −1.69964 | − | 0.244309i | ||||
\(650\) | 9.08818i | 0.356468i | ||||||||
\(651\) | −5.53121 | − | 11.9330i | −0.216785 | − | 0.467691i | ||||
\(652\) | 4.71722 | 0.184740 | ||||||||
\(653\) | − | 1.96831i | − | 0.0770259i | −0.999258 | − | 0.0385130i | \(-0.987738\pi\) | ||
0.999258 | − | 0.0385130i | \(-0.0122621\pi\) | |||||||
\(654\) | 2.16900 | + | 4.67938i | 0.0848145 | + | 0.182978i | ||||
\(655\) | − | 7.32535i | − | 0.286225i | ||||||
\(656\) | 1.55224 | 0.0606048 | ||||||||
\(657\) | −19.4674 | − | 16.4876i | −0.759494 | − | 0.643242i | ||||
\(658\) | 13.3674 | 0.521114 | ||||||||
\(659\) | −0.540513 | −0.0210554 | −0.0105277 | − | 0.999945i | \(-0.503351\pi\) | ||||
−0.0105277 | + | 0.999945i | \(0.503351\pi\) | |||||||
\(660\) | 8.58917 | − | 2.57508i | 0.334333 | − | 0.100235i | ||||
\(661\) | 42.4926 | 1.65277 | 0.826386 | − | 0.563104i | \(-0.190393\pi\) | ||||
0.826386 | + | 0.563104i | \(0.190393\pi\) | |||||||
\(662\) | 52.9938 | 2.05966 | ||||||||
\(663\) | −23.1400 | − | 49.9221i | −0.898684 | − | 1.93881i | ||||
\(664\) | 11.0207 | 0.427686 | ||||||||
\(665\) | 3.38911i | 0.131424i | ||||||||
\(666\) | 4.39286 | − | 5.18677i | 0.170220 | − | 0.200983i | ||||
\(667\) | − | 33.9638i | − | 1.31508i | ||||||
\(668\) | 6.63274 | 0.256628 | ||||||||
\(669\) | 31.7957 | − | 14.7380i | 1.22929 | − | 0.569806i | ||||
\(670\) | − | 23.8058i | − | 0.919700i | ||||||
\(671\) | −4.64267 | − | 0.667346i | −0.179228 | − | 0.0257626i | ||||
\(672\) | 5.23310 | + | 11.2899i | 0.201871 | + | 0.435516i | ||||
\(673\) | 5.98655i | 0.230764i | 0.993321 | + | 0.115382i | \(0.0368093\pi\) | ||||
−0.993321 | + | 0.115382i | \(0.963191\pi\) | |||||||
\(674\) | − | 46.1916i | − | 1.77923i | ||||||
\(675\) | −1.37932 | + | 5.00974i | −0.0530899 | + | 0.192825i | ||||
\(676\) | −15.9133 | −0.612051 | ||||||||
\(677\) | 9.39905 | 0.361235 | 0.180617 | − | 0.983553i | \(-0.442190\pi\) | ||||
0.180617 | + | 0.983553i | \(0.442190\pi\) | |||||||
\(678\) | −23.6034 | − | 50.9218i | −0.906483 | − | 1.95564i | ||||
\(679\) | 18.3387i | 0.703775i | ||||||||
\(680\) | 5.46528i | 0.209584i | ||||||||
\(681\) | −2.08643 | + | 0.967109i | −0.0799523 | + | 0.0370597i | ||||
\(682\) | −6.76194 | + | 47.0423i | −0.258928 | + | 1.80134i | ||||
\(683\) | − | 22.3592i | − | 0.855551i | −0.903885 | − | 0.427775i | \(-0.859297\pi\) | ||
0.903885 | − | 0.427775i | \(-0.140703\pi\) | |||||||
\(684\) | 12.1107 | + | 10.2569i | 0.463062 | + | 0.392184i | ||||
\(685\) | 10.8763 | 0.415561 | ||||||||
\(686\) | 1.88704i | 0.0720476i | ||||||||
\(687\) | 38.4640 | − | 17.8289i | 1.46749 | − | 0.680216i | ||||
\(688\) | 30.6966i | 1.17030i | ||||||||
\(689\) | 6.25014 | 0.238111 | ||||||||
\(690\) | −12.2950 | + | 5.69900i | −0.468062 | + | 0.216957i | ||||
\(691\) | 5.86952 | 0.223287 | 0.111644 | − | 0.993748i | \(-0.464389\pi\) | ||||
0.111644 | + | 0.993748i | \(0.464389\pi\) | |||||||
\(692\) | 20.4468 | 0.777270 | ||||||||
\(693\) | −7.44536 | + | 6.60050i | −0.282826 | + | 0.250732i | ||||
\(694\) | 13.6684 | 0.518844 | ||||||||
\(695\) | 12.0609 | 0.457497 | ||||||||
\(696\) | −10.6655 | + | 4.94369i | −0.404274 | + | 0.187390i | ||||
\(697\) | 2.18532 | 0.0827750 | ||||||||
\(698\) | 5.60556i | 0.212174i | ||||||||
\(699\) | 11.3835 | − | 5.27650i | 0.430563 | − | 0.199576i | ||||
\(700\) | − | 1.56093i | − | 0.0589977i | ||||||
\(701\) | −23.3115 | −0.880462 | −0.440231 | − | 0.897885i | \(-0.645103\pi\) | ||||
−0.440231 | + | 0.897885i | \(0.645103\pi\) | |||||||
\(702\) | −45.5294 | − | 12.5355i | −1.71840 | − | 0.473121i | ||||
\(703\) | − | 4.06914i | − | 0.153470i | ||||||
\(704\) | 1.97558 | − | 13.7439i | 0.0744573 | − | 0.517994i | ||||
\(705\) | 11.1317 | − | 5.15981i | 0.419245 | − | 0.194330i | ||||
\(706\) | 9.50371i | 0.357677i | ||||||||
\(707\) | − | 17.3141i | − | 0.651162i | ||||||
\(708\) | 14.9960 | + | 32.3524i | 0.563586 | + | 1.21588i | ||||
\(709\) | 2.66583 | 0.100117 | 0.0500586 | − | 0.998746i | \(-0.484059\pi\) | ||||
0.0500586 | + | 0.998746i | \(0.484059\pi\) | |||||||
\(710\) | 10.2559 | 0.384898 | ||||||||
\(711\) | −19.5376 | − | 16.5471i | −0.732718 | − | 0.620565i | ||||
\(712\) | − | 1.02094i | − | 0.0382615i | ||||||
\(713\) | − | 31.4846i | − | 1.17911i | ||||||
\(714\) | 9.06673 | + | 19.5605i | 0.339314 | + | 0.732033i | ||||
\(715\) | −2.27265 | + | 15.8107i | −0.0849924 | + | 0.591286i | ||||
\(716\) | − | 3.97948i | − | 0.148720i | ||||||
\(717\) | 6.49666 | − | 3.01135i | 0.242622 | − | 0.112461i | ||||
\(718\) | −43.9673 | −1.64084 | ||||||||
\(719\) | 13.1804i | 0.491548i | 0.969327 | + | 0.245774i | \(0.0790421\pi\) | ||||
−0.969327 | + | 0.245774i | \(0.920958\pi\) | |||||||
\(720\) | 10.7261 | + | 9.08429i | 0.399737 | + | 0.338552i | ||||
\(721\) | 7.54916i | 0.281145i | ||||||||
\(722\) | −14.1792 | −0.527693 | ||||||||
\(723\) | −9.38904 | − | 20.2558i | −0.349182 | − | 0.753323i | ||||
\(724\) | −35.4950 | −1.31916 | ||||||||
\(725\) | 8.19160 | 0.304228 | ||||||||
\(726\) | 35.5572 | − | 5.31993i | 1.31965 | − | 0.197441i | ||||
\(727\) | −29.4440 | −1.09202 | −0.546008 | − | 0.837780i | \(-0.683853\pi\) | ||||
−0.546008 | + | 0.837780i | \(0.683853\pi\) | |||||||
\(728\) | −3.99032 | −0.147891 | ||||||||
\(729\) | −23.1950 | − | 13.8200i | −0.859073 | − | 0.511853i | ||||
\(730\) | 16.0469 | 0.593922 | ||||||||
\(731\) | 43.2162i | 1.59841i | ||||||||
\(732\) | 1.60793 | + | 3.46893i | 0.0594307 | + | 0.128215i | ||||
\(733\) | 24.3710i | 0.900162i | 0.892988 | + | 0.450081i | \(0.148605\pi\) | ||||
−0.892988 | + | 0.450081i | \(0.851395\pi\) | |||||||
\(734\) | −13.6251 | −0.502911 | ||||||||
\(735\) | 0.728399 | + | 1.57144i | 0.0268674 | + | 0.0579636i | ||||
\(736\) | 29.7877i | 1.09799i | ||||||||
\(737\) | 5.95305 | − | 41.4149i | 0.219284 | − | 1.52554i | ||||
\(738\) | 1.21212 | − | 1.43119i | 0.0446189 | − | 0.0526827i | ||||
\(739\) | − | 27.0306i | − | 0.994337i | −0.867654 | − | 0.497169i | \(-0.834373\pi\) | ||
0.867654 | − | 0.497169i | \(-0.165627\pi\) | |||||||
\(740\) | 1.87414i | 0.0688946i | ||||||||
\(741\) | −25.6495 | + | 11.8891i | −0.942258 | + | 0.436758i | ||||
\(742\) | −2.44893 | −0.0899031 | ||||||||
\(743\) | −5.47168 | −0.200737 | −0.100368 | − | 0.994950i | \(-0.532002\pi\) | ||||
−0.100368 | + | 0.994950i | \(0.532002\pi\) | |||||||
\(744\) | −9.88697 | + | 4.58283i | −0.362474 | + | 0.168015i | ||||
\(745\) | 14.7746i | 0.541298i | ||||||||
\(746\) | − | 31.2430i | − | 1.14389i | ||||||
\(747\) | 25.7896 | − | 30.4505i | 0.943591 | − | 1.11412i | ||||
\(748\) | 4.85872 | − | 33.8017i | 0.177652 | − | 1.23591i | ||||
\(749\) | 10.7755i | 0.393729i | ||||||||
\(750\) | −1.37452 | − | 2.96538i | −0.0501904 | − | 0.108280i | ||||
\(751\) | −22.6620 | −0.826946 | −0.413473 | − | 0.910516i | \(-0.635684\pi\) | ||||
−0.413473 | + | 0.910516i | \(0.635684\pi\) | |||||||
\(752\) | − | 33.1900i | − | 1.21031i | ||||||
\(753\) | 1.99308 | + | 4.29986i | 0.0726319 | + | 0.156696i | ||||
\(754\) | 74.4467i | 2.71119i | ||||||||
\(755\) | 17.2699 | 0.628516 | ||||||||
\(756\) | 7.81986 | + | 2.15302i | 0.284406 | + | 0.0783046i | ||||
\(757\) | −8.42299 | −0.306139 | −0.153069 | − | 0.988215i | \(-0.548916\pi\) | ||||
−0.153069 | + | 0.988215i | \(0.548916\pi\) | |||||||
\(758\) | 13.8817 | 0.504207 | ||||||||
\(759\) | −22.8147 | + | 6.83997i | −0.828121 | + | 0.248275i | ||||
\(760\) | 2.80801 | 0.101857 | ||||||||
\(761\) | −24.2476 | −0.878973 | −0.439487 | − | 0.898249i | \(-0.644840\pi\) | ||||
−0.439487 | + | 0.898249i | \(0.644840\pi\) | |||||||
\(762\) | −9.47308 | − | 20.4372i | −0.343173 | − | 0.740360i | ||||
\(763\) | 1.57800 | 0.0571275 | ||||||||
\(764\) | − | 22.4423i | − | 0.811936i | ||||||
\(765\) | 15.1007 | + | 12.7893i | 0.545967 | + | 0.462399i | ||||
\(766\) | − | 7.92782i | − | 0.286444i | ||||||
\(767\) | −63.5211 | −2.29361 | ||||||||
\(768\) | 32.3397 | − | 14.9902i | 1.16696 | − | 0.540911i | ||||
\(769\) | 43.5795i | 1.57152i | 0.618533 | + | 0.785759i | \(0.287727\pi\) | ||||
−0.618533 | + | 0.785759i | \(0.712273\pi\) | |||||||
\(770\) | 0.890472 | − | 6.19494i | 0.0320904 | − | 0.223250i | ||||
\(771\) | −13.2192 | − | 28.5190i | −0.476077 | − | 1.02709i | ||||
\(772\) | 7.71142i | 0.277540i | ||||||||
\(773\) | − | 46.1628i | − | 1.66036i | −0.557496 | − | 0.830180i | \(-0.688238\pi\) | ||
0.557496 | − | 0.830180i | \(-0.311762\pi\) | |||||||
\(774\) | 28.3027 | + | 23.9706i | 1.01732 | + | 0.861604i | ||||
\(775\) | 7.59366 | 0.272772 | ||||||||
\(776\) | 15.1943 | 0.545445 | ||||||||
\(777\) | −0.874554 | − | 1.88676i | −0.0313745 | − | 0.0676870i | ||||
\(778\) | − | 61.8142i | − | 2.21615i | ||||||
\(779\) | − | 1.12280i | − | 0.0402284i | ||||||
\(780\) | 11.8135 | − | 5.47581i | 0.422990 | − | 0.196065i | ||||
\(781\) | 17.8422 | + | 2.56467i | 0.638444 | + | 0.0917711i | ||||
\(782\) | 51.6094i | 1.84555i | ||||||||
\(783\) | −11.2988 | + | 41.0378i | −0.403786 | + | 1.46657i | ||||
\(784\) | 4.68535 | 0.167334 | ||||||||
\(785\) | − | 8.20632i | − | 0.292896i | ||||||
\(786\) | −21.7225 | + | 10.0688i | −0.774814 | + | 0.359144i | ||||
\(787\) | 6.84529i | 0.244008i | 0.992530 | + | 0.122004i | \(0.0389321\pi\) | ||||
−0.992530 | + | 0.122004i | \(0.961068\pi\) | |||||||
\(788\) | 27.3776 | 0.975286 | ||||||||
\(789\) | 0.329485 | − | 0.152724i | 0.0117300 | − | 0.00543710i | ||||
\(790\) | 16.1048 | 0.572983 | ||||||||
\(791\) | −17.1721 | −0.610569 | ||||||||
\(792\) | 5.46878 | + | 6.16878i | 0.194324 | + | 0.219198i | ||||
\(793\) | −6.81095 | −0.241864 | ||||||||
\(794\) | 56.9956 | 2.02270 | ||||||||
\(795\) | −2.03936 | + | 0.945288i | −0.0723286 | + | 0.0335259i | ||||
\(796\) | 7.61136 | 0.269778 | ||||||||
\(797\) | 17.8254i | 0.631408i | 0.948858 | + | 0.315704i | \(0.102241\pi\) | ||||
−0.948858 | + | 0.315704i | \(0.897759\pi\) | |||||||
\(798\) | 10.0500 | − | 4.65840i | 0.355766 | − | 0.164906i | ||||
\(799\) | − | 46.7265i | − | 1.65307i | ||||||
\(800\) | −7.18439 | −0.254006 | ||||||||
\(801\) | −2.82089 | − | 2.38911i | −0.0996713 | − | 0.0844152i | ||||
\(802\) | − | 51.6138i | − | 1.82255i | ||||||
\(803\) | 27.9167 | + | 4.01280i | 0.985159 | + | 0.141609i | ||||
\(804\) | −30.9446 | + | 14.3435i | −1.09133 | + | 0.505856i | ||||
\(805\) | 4.14617i | 0.146133i | ||||||||
\(806\) | 69.0125i | 2.43086i | ||||||||
\(807\) | −13.8646 | − | 29.9113i | −0.488056 | − | 1.05293i | ||||
\(808\) | −14.3454 | −0.504669 | ||||||||
\(809\) | −41.0970 | −1.44489 | −0.722446 | − | 0.691427i | \(-0.756982\pi\) | ||||
−0.722446 | + | 0.691427i | \(0.756982\pi\) | |||||||
\(810\) | 16.7517 | − | 2.79579i | 0.588594 | − | 0.0982341i | ||||
\(811\) | − | 51.7331i | − | 1.81659i | −0.418327 | − | 0.908297i | \(-0.637383\pi\) | ||
0.418327 | − | 0.908297i | \(-0.362617\pi\) | |||||||
\(812\) | − | 12.7865i | − | 0.448719i | ||||||
\(813\) | 2.23681 | + | 4.82569i | 0.0784485 | + | 0.169244i | ||||
\(814\) | −1.06915 | + | 7.43797i | −0.0374736 | + | 0.260701i | ||||
\(815\) | − | 3.02205i | − | 0.105858i | ||||||
\(816\) | 48.5669 | − | 22.5119i | 1.70018 | − | 0.788072i | ||||
\(817\) | 22.2041 | 0.776823 | ||||||||
\(818\) | 55.6102i | 1.94437i | ||||||||
\(819\) | −9.33778 | + | 11.0254i | −0.326288 | + | 0.385258i | ||||
\(820\) | 0.517131i | 0.0180590i | ||||||||
\(821\) | 7.83061 | 0.273290 | 0.136645 | − | 0.990620i | \(-0.456368\pi\) | ||||
0.136645 | + | 0.990620i | \(0.456368\pi\) | |||||||
\(822\) | −14.9496 | − | 32.2523i | −0.521429 | − | 1.12493i | ||||
\(823\) | −26.8224 | −0.934970 | −0.467485 | − | 0.884001i | \(-0.654840\pi\) | ||||
−0.467485 | + | 0.884001i | \(0.654840\pi\) | |||||||
\(824\) | 6.25478 | 0.217896 | ||||||||
\(825\) | −1.64971 | − | 5.50259i | −0.0574354 | − | 0.191576i | ||||
\(826\) | 24.8889 | 0.865994 | ||||||||
\(827\) | −36.7635 | −1.27839 | −0.639197 | − | 0.769043i | \(-0.720733\pi\) | ||||
−0.639197 | + | 0.769043i | \(0.720733\pi\) | |||||||
\(828\) | 14.8160 | + | 12.5482i | 0.514890 | + | 0.436079i | ||||
\(829\) | −10.4722 | −0.363713 | −0.181857 | − | 0.983325i | \(-0.558211\pi\) | ||||
−0.181857 | + | 0.983325i | \(0.558211\pi\) | |||||||
\(830\) | 25.1002i | 0.871242i | ||||||||
\(831\) | 12.9933 | + | 28.0317i | 0.450733 | + | 0.972409i | ||||
\(832\) | − | 20.1628i | − | 0.699018i | ||||||
\(833\) | 6.59628 | 0.228548 | ||||||||
\(834\) | −16.5780 | − | 35.7653i | −0.574049 | − | 1.23845i | ||||
\(835\) | − | 4.24922i | − | 0.147050i | ||||||
\(836\) | −17.3670 | − | 2.49636i | −0.600650 | − | 0.0863385i | ||||
\(837\) | −10.4741 | + | 38.0422i | −0.362036 | + | 1.31493i | ||||
\(838\) | 50.4680i | 1.74339i | ||||||||
\(839\) | − | 48.6042i | − | 1.67800i | −0.544128 | − | 0.839002i | \(-0.683140\pi\) | ||
0.544128 | − | 0.839002i | \(-0.316860\pi\) | |||||||
\(840\) | 1.30200 | − | 0.603508i | 0.0449234 | − | 0.0208230i | ||||
\(841\) | 38.1022 | 1.31387 | ||||||||
\(842\) | 49.5966 | 1.70921 | ||||||||
\(843\) | 38.8933 | − | 18.0279i | 1.33956 | − | 0.620915i | ||||
\(844\) | 4.99101i | 0.171798i | ||||||||
\(845\) | 10.1948i | 0.350710i | ||||||||
\(846\) | −30.6016 | − | 25.9176i | −1.05210 | − | 0.891065i | ||||
\(847\) | 3.09830 | − | 10.5546i | 0.106459 | − | 0.362662i | ||||
\(848\) | 6.08047i | 0.208804i | ||||||||
\(849\) | −3.85607 | − | 8.31905i | −0.132340 | − | 0.285509i | ||||
\(850\) | −12.4475 | −0.426945 | ||||||||
\(851\) | − | 4.97811i | − | 0.170648i | ||||||
\(852\) | −6.17940 | − | 13.3314i | −0.211703 | − | 0.456726i | ||||
\(853\) | 50.8769i | 1.74199i | 0.491290 | + | 0.870996i | \(0.336525\pi\) | ||||
−0.491290 | + | 0.870996i | \(0.663475\pi\) | |||||||
\(854\) | 2.66867 | 0.0913199 | ||||||||
\(855\) | 6.57104 | − | 7.75860i | 0.224725 | − | 0.265339i | ||||
\(856\) | 8.92796 | 0.305151 | ||||||||
\(857\) | −8.22530 | −0.280971 | −0.140486 | − | 0.990083i | \(-0.544866\pi\) | ||||
−0.140486 | + | 0.990083i | \(0.544866\pi\) | |||||||
\(858\) | 50.0085 | − | 14.9928i | 1.70726 | − | 0.511846i | ||||
\(859\) | 0.256020 | 0.00873528 | 0.00436764 | − | 0.999990i | \(-0.498610\pi\) | ||||
0.00436764 | + | 0.999990i | \(0.498610\pi\) | |||||||
\(860\) | −10.2266 | −0.348725 | ||||||||
\(861\) | −0.241316 | − | 0.520613i | −0.00822402 | − | 0.0177424i | ||||
\(862\) | 48.1924 | 1.64144 | ||||||||
\(863\) | 20.9475i | 0.713062i | 0.934284 | + | 0.356531i | \(0.116041\pi\) | ||||
−0.934284 | + | 0.356531i | \(0.883959\pi\) | |||||||
\(864\) | 9.90955 | − | 35.9919i | 0.337130 | − | 1.22447i | ||||
\(865\) | − | 13.0991i | − | 0.445382i | ||||||
\(866\) | −33.8180 | −1.14918 | ||||||||
\(867\) | 41.6605 | − | 19.3106i | 1.41486 | − | 0.655821i | ||||
\(868\) | − | 11.8532i | − | 0.402323i | ||||||
\(869\) | 28.0175 | + | 4.02728i | 0.950428 | + | 0.136616i | ||||
\(870\) | −11.2595 | − | 24.2912i | −0.381733 | − | 0.823549i | ||||
\(871\) | − | 60.7570i | − | 2.05867i | ||||||
\(872\) | − | 1.30744i | − | 0.0442754i | ||||||
\(873\) | 35.5563 | − | 41.9823i | 1.20340 | − | 1.42089i | ||||
\(874\) | 26.5164 | 0.896931 | ||||||||
\(875\) | −1.00000 | −0.0338062 | ||||||||
\(876\) | −9.66857 | − | 20.8589i | −0.326671 | − | 0.704757i | ||||
\(877\) | 27.0100i | 0.912061i | 0.889964 | + | 0.456031i | \(0.150729\pi\) | ||||
−0.889964 | + | 0.456031i | \(0.849271\pi\) | |||||||
\(878\) | − | 76.3103i | − | 2.57535i | ||||||
\(879\) | 1.58638 | − | 0.735320i | 0.0535071 | − | 0.0248017i | ||||
\(880\) | −15.3815 | − | 2.21096i | −0.518509 | − | 0.0745314i | ||||
\(881\) | − | 27.4389i | − | 0.924439i | −0.886766 | − | 0.462220i | \(-0.847053\pi\) | ||
0.886766 | − | 0.462220i | \(-0.152947\pi\) | |||||||
\(882\) | 3.65873 | − | 4.31996i | 0.123196 | − | 0.145461i | ||||
\(883\) | 27.3964 | 0.921963 | 0.460981 | − | 0.887410i | \(-0.347497\pi\) | ||||
0.460981 | + | 0.887410i | \(0.347497\pi\) | |||||||
\(884\) | − | 49.5882i | − | 1.66783i | ||||||
\(885\) | 20.7263 | − | 9.60710i | 0.696707 | − | 0.322939i | ||||
\(886\) | 30.2703i | 1.01695i | ||||||||
\(887\) | 25.4305 | 0.853874 | 0.426937 | − | 0.904281i | \(-0.359593\pi\) | ||||
0.426937 | + | 0.904281i | \(0.359593\pi\) | |||||||
\(888\) | −1.56325 | + | 0.724603i | −0.0524593 | + | 0.0243161i | ||||
\(889\) | −6.89191 | −0.231147 | ||||||||
\(890\) | 2.32525 | 0.0779427 | ||||||||
\(891\) | 29.8420 | − | 0.674783i | 0.999744 | − | 0.0226061i | ||||
\(892\) | 31.5831 | 1.05748 | ||||||||
\(893\) | −24.0076 | −0.803385 | ||||||||
\(894\) | 43.8122 | − | 20.3079i | 1.46530 | − | 0.679199i | ||||
\(895\) | −2.54943 | −0.0852180 | ||||||||
\(896\) | − | 6.46859i | − | 0.216100i | ||||||
\(897\) | −31.3792 | + | 14.5449i | −1.04772 | + | 0.485641i | ||||
\(898\) | 29.9878i | 1.00071i | ||||||||
\(899\) | 62.2042 | 2.07463 | ||||||||
\(900\) | −3.02644 | + | 3.57341i | −0.100881 | + | 0.119114i | ||||
\(901\) | 8.56040i | 0.285188i | ||||||||
\(902\) | −0.295010 | + | 2.05236i | −0.00982275 | + | 0.0683361i | ||||
\(903\) | 10.2955 | − | 4.77218i | 0.342612 | − | 0.158808i | ||||
\(904\) | 14.2278i | 0.473208i | ||||||||
\(905\) | 22.7396i | 0.755890i | ||||||||
\(906\) | −23.7378 | − | 51.2119i | −0.788637 | − | 1.70140i | ||||
\(907\) | −35.4494 | −1.17708 | −0.588539 | − | 0.808469i | \(-0.700297\pi\) | ||||
−0.588539 | + | 0.808469i | \(0.700297\pi\) | |||||||
\(908\) | −2.07248 | −0.0687776 | ||||||||
\(909\) | −33.5697 | + | 39.6367i | −1.11344 | + | 1.31467i | ||||
\(910\) | − | 9.08818i | − | 0.301270i | ||||||
\(911\) | 18.9387i | 0.627467i | 0.949511 | + | 0.313733i | \(0.101580\pi\) | ||||
−0.949511 | + | 0.313733i | \(0.898420\pi\) | |||||||
\(912\) | −11.5664 | − | 24.9532i | −0.383001 | − | 0.826284i | ||||
\(913\) | −6.27674 | + | 43.6668i | −0.207730 | + | 1.44516i | ||||
\(914\) | 27.7772i | 0.918787i | ||||||||
\(915\) | 2.22234 | − | 1.03011i | 0.0734685 | − | 0.0340543i | ||||
\(916\) | 38.2067 | 1.26239 | ||||||||
\(917\) | 7.32535i | 0.241904i | ||||||||
\(918\) | 17.1690 | − | 62.3586i | 0.566662 | − | 2.05814i | ||||
\(919\) | 52.8522i | 1.74343i | 0.490010 | + | 0.871717i | \(0.336993\pi\) | ||||
−0.490010 | + | 0.871717i | \(0.663007\pi\) | |||||||
\(920\) | 3.43527 | 0.113257 | ||||||||
\(921\) | −14.9364 | − | 32.2238i | −0.492173 | − | 1.06181i | ||||
\(922\) | −18.0984 | −0.596041 | ||||||||
\(923\) | 26.1751 | 0.861563 | ||||||||
\(924\) | −8.58917 | + | 2.57508i | −0.282563 | + | 0.0847139i | ||||
\(925\) | 1.20065 | 0.0394772 | ||||||||
\(926\) | 39.8981 | 1.31113 | ||||||||
\(927\) | 14.6368 | − | 17.2821i | 0.480737 | − | 0.567619i | ||||
\(928\) | −58.8516 | −1.93190 | ||||||||
\(929\) | − | 1.06166i | − | 0.0348319i | −0.999848 | − | 0.0174160i | \(-0.994456\pi\) | ||
0.999848 | − | 0.0174160i | \(-0.00554395\pi\) | |||||||
\(930\) | −10.4376 | − | 22.5181i | −0.342264 | − | 0.738397i | ||||
\(931\) | − | 3.38911i | − | 0.111074i | ||||||
\(932\) | 11.3073 | 0.370384 | ||||||||
\(933\) | 3.32327 | + | 7.16959i | 0.108799 | + | 0.234722i | ||||
\(934\) | 54.0348i | 1.76807i | ||||||||
\(935\) | −21.6548 | − | 3.11270i | −0.708189 | − | 0.101796i | ||||
\(936\) | 9.13496 | + | 7.73672i | 0.298585 | + | 0.252883i | ||||
\(937\) | − | 34.1861i | − | 1.11681i | −0.829568 | − | 0.558406i | \(-0.811413\pi\) | ||
0.829568 | − | 0.558406i | \(-0.188587\pi\) | |||||||
\(938\) | 23.8058i | 0.777288i | ||||||||
\(939\) | −29.4618 | + | 13.6562i | −0.961451 | + | 0.445654i | ||||
\(940\) | 11.0573 | 0.360649 | ||||||||
\(941\) | −13.3160 | −0.434088 | −0.217044 | − | 0.976162i | \(-0.569642\pi\) | ||||
−0.217044 | + | 0.976162i | \(0.569642\pi\) | |||||||
\(942\) | −24.3349 | + | 11.2798i | −0.792873 | + | 0.367514i | ||||
\(943\) | − | 1.37361i | − | 0.0447309i | ||||||
\(944\) | − | 61.7967i | − | 2.01131i | ||||||
\(945\) | 1.37932 | − | 5.00974i | 0.0448692 | − | 0.162967i | ||||
\(946\) | −40.5868 | − | 5.83402i | −1.31959 | − | 0.189680i | ||||
\(947\) | 51.6096i | 1.67709i | 0.544834 | + | 0.838544i | \(0.316593\pi\) | ||||
−0.544834 | + | 0.838544i | \(0.683407\pi\) | |||||||
\(948\) | −9.70347 | − | 20.9342i | −0.315154 | − | 0.679911i | ||||
\(949\) | 40.9547 | 1.32945 | ||||||||
\(950\) | 6.39539i | 0.207494i | ||||||||
\(951\) | 0.389735 | + | 0.840811i | 0.0126380 | + | 0.0272652i | ||||
\(952\) | − | 5.46528i | − | 0.177131i | ||||||
\(953\) | −5.87208 | −0.190215 | −0.0951077 | − | 0.995467i | \(-0.530320\pi\) | ||||
−0.0951077 | + | 0.995467i | \(0.530320\pi\) | |||||||
\(954\) | 5.60628 | + | 4.74816i | 0.181510 | + | 0.153727i | ||||
\(955\) | −14.3775 | −0.465246 | ||||||||
\(956\) | 6.45320 | 0.208712 | ||||||||
\(957\) | −13.5137 | − | 45.0750i | −0.436836 | − | 1.45707i | ||||
\(958\) | 22.9035 | 0.739979 | ||||||||
\(959\) | −10.8763 | −0.351213 | ||||||||
\(960\) | 3.04947 | + | 6.57891i | 0.0984213 | + | 0.212334i | ||||
\(961\) | 26.6636 | 0.860117 | ||||||||
\(962\) | 10.9117i | 0.351809i | ||||||||
\(963\) | 20.8924 | − | 24.6682i | 0.673247 | − | 0.794921i | ||||
\(964\) | − | 20.1204i | − | 0.648033i | ||||||
\(965\) | 4.94027 | 0.159033 | ||||||||
\(966\) | 12.2950 | − | 5.69900i | 0.395585 | − | 0.183362i | ||||
\(967\) | − | 28.7927i | − | 0.925911i | −0.886382 | − | 0.462956i | \(-0.846789\pi\) | ||
0.886382 | − | 0.462956i | \(-0.153211\pi\) | |||||||
\(968\) | −8.74494 | − | 2.56707i | −0.281073 | − | 0.0825086i | ||||
\(969\) | −16.2837 | − | 35.1304i | −0.523109 | − | 1.12855i | ||||
\(970\) | 34.6059i | 1.11113i | ||||||||
\(971\) | − | 12.5992i | − | 0.404327i | −0.979352 | − | 0.202164i | \(-0.935203\pi\) | ||
0.979352 | − | 0.202164i | \(-0.0647973\pi\) | |||||||
\(972\) | −13.7274 | − | 20.0906i | −0.440307 | − | 0.644405i | ||||
\(973\) | −12.0609 | −0.386656 | ||||||||
\(974\) | 57.8002 | 1.85204 | ||||||||
\(975\) | −3.50804 | − | 7.56822i | −0.112347 | − | 0.242377i | ||||
\(976\) | − | 6.62606i | − | 0.212095i | ||||||
\(977\) | 46.9448i | 1.50190i | 0.660360 | + | 0.750949i | \(0.270404\pi\) | ||||
−0.660360 | + | 0.750949i | \(0.729596\pi\) | |||||||
\(978\) | −8.96153 | + | 4.15387i | −0.286558 | + | 0.132826i | ||||
\(979\) | 4.04524 | + | 0.581469i | 0.129286 | + | 0.0185838i | ||||
\(980\) | 1.56093i | 0.0498622i | ||||||||
\(981\) | −3.61248 | − | 3.05954i | −0.115338 | − | 0.0976836i | ||||
\(982\) | 43.5346 | 1.38924 | ||||||||
\(983\) | − | 22.4243i | − | 0.715223i | −0.933871 | − | 0.357611i | \(-0.883591\pi\) | ||
0.933871 | − | 0.357611i | \(-0.116409\pi\) | |||||||
\(984\) | −0.431349 | + | 0.199940i | −0.0137509 | + | 0.00637385i | ||||
\(985\) | − | 17.5393i | − | 0.558847i | ||||||
\(986\) | −101.965 | −3.24722 | ||||||||
\(987\) | −11.1317 | + | 5.15981i | −0.354327 | + | 0.164239i | ||||
\(988\) | −25.4779 | −0.810561 | ||||||||
\(989\) | 27.1641 | 0.863768 | ||||||||
\(990\) | −14.0497 | + | 12.4554i | −0.446529 | + | 0.395859i | ||||
\(991\) | −10.4851 | −0.333070 | −0.166535 | − | 0.986036i | \(-0.553258\pi\) | ||||
−0.166535 | + | 0.986036i | \(0.553258\pi\) | |||||||
\(992\) | −54.5558 | −1.73215 | ||||||||
\(993\) | −44.1309 | + | 20.4556i | −1.40045 | + | 0.649140i | ||||
\(994\) | −10.2559 | −0.325298 | ||||||||
\(995\) | − | 4.87616i | − | 0.154585i | ||||||
\(996\) | 32.6271 | − | 15.1234i | 1.03383 | − | 0.479203i | ||||
\(997\) | 25.6354i | 0.811880i | 0.913900 | + | 0.405940i | \(0.133056\pi\) | ||||
−0.913900 | + | 0.405940i | \(0.866944\pi\) | |||||||
\(998\) | −33.5528 | −1.06209 | ||||||||
\(999\) | −1.65608 | + | 6.01495i | −0.0523960 | + | 0.190305i |
(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 | 1155.2.l.e.1121.9 | ✓ | 40 | |
3.2 | odd | 2 | 1155.2.l.f.1121.32 | yes | 40 | ||
11.10 | odd | 2 | 1155.2.l.f.1121.31 | yes | 40 | ||
33.32 | even | 2 | inner | 1155.2.l.e.1121.10 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.l.e.1121.9 | ✓ | 40 | 1.1 | even | 1 | trivial | |
1155.2.l.e.1121.10 | yes | 40 | 33.32 | even | 2 | inner | |
1155.2.l.f.1121.31 | yes | 40 | 11.10 | odd | 2 | ||
1155.2.l.f.1121.32 | yes | 40 | 3.2 | odd | 2 |