Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(269,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bb (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.1 | ||
Character | \(\chi\) | \(=\) | 546.269 |
Dual form | 546.2.bb.a.341.20 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.68782 | − | 0.388948i | −0.974460 | − | 0.224559i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.386492 | − | 0.669424i | −0.172845 | − | 0.299376i | 0.766569 | − | 0.642162i | \(-0.221962\pi\) |
−0.939413 | + | 0.342787i | \(0.888629\pi\) | |||||||
\(6\) | −0.388948 | + | 1.68782i | −0.158787 | + | 0.689048i | ||||
\(7\) | 1.88739 | + | 1.85412i | 0.713365 | + | 0.700792i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.69744 | + | 1.31294i | 0.899147 | + | 0.437648i | ||||
\(10\) | −0.669424 | + | 0.386492i | −0.211690 | + | 0.122220i | ||||
\(11\) | 2.34039 | − | 1.35122i | 0.705653 | − | 0.407409i | −0.103796 | − | 0.994599i | \(-0.533099\pi\) |
0.809449 | + | 0.587190i | \(0.199766\pi\) | |||||||
\(12\) | 1.68782 | + | 0.388948i | 0.487230 | + | 0.112279i | ||||
\(13\) | −3.14302 | + | 1.76675i | −0.871717 | + | 0.490009i | ||||
\(14\) | 1.85412 | − | 1.88739i | 0.495535 | − | 0.504425i | ||||
\(15\) | 0.391956 | + | 1.28019i | 0.101203 | + | 0.330543i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.64755 | 0.642126 | 0.321063 | − | 0.947058i | \(-0.395960\pi\) | ||||
0.321063 | + | 0.947058i | \(0.395960\pi\) | |||||||
\(18\) | 1.31294 | − | 2.69744i | 0.309464 | − | 0.635793i | ||||
\(19\) | 4.04565 | + | 2.33575i | 0.928135 | + | 0.535859i | 0.886221 | − | 0.463262i | \(-0.153321\pi\) |
0.0419135 | + | 0.999121i | \(0.486655\pi\) | |||||||
\(20\) | 0.386492 | + | 0.669424i | 0.0864223 | + | 0.149688i | ||||
\(21\) | −2.46440 | − | 3.86351i | −0.537777 | − | 0.843087i | ||||
\(22\) | −1.35122 | − | 2.34039i | −0.288082 | − | 0.498972i | ||||
\(23\) | − | 5.38541i | − | 1.12294i | −0.827499 | − | 0.561468i | \(-0.810237\pi\) | ||
0.827499 | − | 0.561468i | \(-0.189763\pi\) | |||||||
\(24\) | 0.388948 | − | 1.68782i | 0.0793936 | − | 0.344524i | ||||
\(25\) | 2.20125 | − | 3.81267i | 0.440250 | − | 0.762535i | ||||
\(26\) | 1.76675 | + | 3.14302i | 0.346489 | + | 0.616397i | ||||
\(27\) | −4.04211 | − | 3.26517i | −0.777905 | − | 0.628382i | ||||
\(28\) | −1.88739 | − | 1.85412i | −0.356683 | − | 0.350396i | ||||
\(29\) | 4.22905 | + | 2.44165i | 0.785316 | + | 0.453402i | 0.838311 | − | 0.545193i | \(-0.183543\pi\) |
−0.0529953 | + | 0.998595i | \(0.516877\pi\) | |||||||
\(30\) | 1.28019 | − | 0.391956i | 0.233730 | − | 0.0715611i | ||||
\(31\) | −3.24180 | − | 1.87166i | −0.582245 | − | 0.336159i | 0.179780 | − | 0.983707i | \(-0.442461\pi\) |
−0.762025 | + | 0.647547i | \(0.775795\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −4.47570 | + | 1.37033i | −0.779119 | + | 0.238543i | ||||
\(34\) | − | 2.64755i | − | 0.454052i | ||||||
\(35\) | 0.511734 | − | 1.98007i | 0.0864988 | − | 0.334692i | ||||
\(36\) | −2.69744 | − | 1.31294i | −0.449573 | − | 0.218824i | ||||
\(37\) | 4.56832 | 0.751028 | 0.375514 | − | 0.926817i | \(-0.377466\pi\) | ||||
0.375514 | + | 0.926817i | \(0.377466\pi\) | |||||||
\(38\) | 2.33575 | − | 4.04565i | 0.378909 | − | 0.656290i | ||||
\(39\) | 5.99201 | − | 1.75948i | 0.959490 | − | 0.281743i | ||||
\(40\) | 0.669424 | − | 0.386492i | 0.105845 | − | 0.0611098i | ||||
\(41\) | 4.90014 | − | 8.48729i | 0.765273 | − | 1.32549i | −0.174829 | − | 0.984599i | \(-0.555937\pi\) |
0.940102 | − | 0.340894i | \(-0.110730\pi\) | |||||||
\(42\) | −3.86351 | + | 2.46440i | −0.596153 | + | 0.380266i | ||||
\(43\) | −5.66191 | − | 9.80672i | −0.863434 | − | 1.49551i | −0.868594 | − | 0.495525i | \(-0.834976\pi\) |
0.00516013 | − | 0.999987i | \(-0.498357\pi\) | |||||||
\(44\) | −2.34039 | + | 1.35122i | −0.352827 | + | 0.203705i | ||||
\(45\) | −0.163624 | − | 2.31317i | −0.0243916 | − | 0.344828i | ||||
\(46\) | −5.38541 | −0.794035 | ||||||||
\(47\) | 2.63336 | + | 4.56112i | 0.384116 | + | 0.665308i | 0.991646 | − | 0.128989i | \(-0.0411731\pi\) |
−0.607530 | + | 0.794296i | \(0.707840\pi\) | |||||||
\(48\) | −1.68782 | − | 0.388948i | −0.243615 | − | 0.0561397i | ||||
\(49\) | 0.124461 | + | 6.99889i | 0.0177802 | + | 0.999842i | ||||
\(50\) | −3.81267 | − | 2.20125i | −0.539193 | − | 0.311303i | ||||
\(51\) | −4.46858 | − | 1.02976i | −0.625726 | − | 0.144195i | ||||
\(52\) | 3.14302 | − | 1.76675i | 0.435859 | − | 0.245005i | ||||
\(53\) | 3.16257 | + | 1.82591i | 0.434413 | + | 0.250808i | 0.701225 | − | 0.712940i | \(-0.252637\pi\) |
−0.266812 | + | 0.963749i | \(0.585970\pi\) | |||||||
\(54\) | −3.26517 | + | 4.04211i | −0.444333 | + | 0.550062i | ||||
\(55\) | −1.80908 | − | 1.04447i | −0.243937 | − | 0.140837i | ||||
\(56\) | −1.85412 | + | 1.88739i | −0.247768 | + | 0.252213i | ||||
\(57\) | −5.91981 | − | 5.51587i | −0.784099 | − | 0.730594i | ||||
\(58\) | 2.44165 | − | 4.22905i | 0.320604 | − | 0.555302i | ||||
\(59\) | −11.2248 | −1.46135 | −0.730675 | − | 0.682726i | \(-0.760794\pi\) | ||||
−0.730675 | + | 0.682726i | \(0.760794\pi\) | |||||||
\(60\) | −0.391956 | − | 1.28019i | −0.0506014 | − | 0.165272i | ||||
\(61\) | 11.2735 | + | 6.50875i | 1.44342 | + | 0.833359i | 0.998076 | − | 0.0619997i | \(-0.0197478\pi\) |
0.445345 | + | 0.895359i | \(0.353081\pi\) | |||||||
\(62\) | −1.87166 | + | 3.24180i | −0.237701 | + | 0.411710i | ||||
\(63\) | 2.65676 | + | 7.47941i | 0.334720 | + | 0.942318i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 2.39746 | + | 1.42118i | 0.297368 | + | 0.176275i | ||||
\(66\) | 1.37033 | + | 4.47570i | 0.168676 | + | 0.550920i | ||||
\(67\) | 3.47068 | + | 6.01140i | 0.424011 | + | 0.734409i | 0.996328 | − | 0.0856238i | \(-0.0272883\pi\) |
−0.572316 | + | 0.820033i | \(0.693955\pi\) | |||||||
\(68\) | −2.64755 | −0.321063 | ||||||||
\(69\) | −2.09464 | + | 9.08958i | −0.252165 | + | 1.09426i | ||||
\(70\) | −1.98007 | − | 0.511734i | −0.236663 | − | 0.0611639i | ||||
\(71\) | 9.71163 | − | 5.60701i | 1.15256 | − | 0.665430i | 0.203049 | − | 0.979169i | \(-0.434915\pi\) |
0.949509 | + | 0.313739i | \(0.101582\pi\) | |||||||
\(72\) | −1.31294 | + | 2.69744i | −0.154732 | + | 0.317896i | ||||
\(73\) | 8.99614 | + | 5.19392i | 1.05292 | + | 0.607903i | 0.923465 | − | 0.383683i | \(-0.125344\pi\) |
0.129453 | + | 0.991586i | \(0.458678\pi\) | |||||||
\(74\) | − | 4.56832i | − | 0.531057i | ||||||
\(75\) | −5.19823 | + | 5.57892i | −0.600240 | + | 0.644198i | ||||
\(76\) | −4.04565 | − | 2.33575i | −0.464067 | − | 0.267929i | ||||
\(77\) | 6.92255 | + | 1.78908i | 0.788898 | + | 0.203885i | ||||
\(78\) | −1.75948 | − | 5.99201i | −0.199222 | − | 0.678462i | ||||
\(79\) | 5.14638 | + | 8.91380i | 0.579013 | + | 1.00288i | 0.995593 | + | 0.0937812i | \(0.0298954\pi\) |
−0.416580 | + | 0.909099i | \(0.636771\pi\) | |||||||
\(80\) | −0.386492 | − | 0.669424i | −0.0432111 | − | 0.0748439i | ||||
\(81\) | 5.55236 | + | 7.08317i | 0.616929 | + | 0.787019i | ||||
\(82\) | −8.48729 | − | 4.90014i | −0.937265 | − | 0.541130i | ||||
\(83\) | −16.3639 | −1.79617 | −0.898086 | − | 0.439820i | \(-0.855042\pi\) | ||||
−0.898086 | + | 0.439820i | \(0.855042\pi\) | |||||||
\(84\) | 2.46440 | + | 3.86351i | 0.268889 | + | 0.421544i | ||||
\(85\) | −1.02326 | − | 1.77234i | −0.110988 | − | 0.192237i | ||||
\(86\) | −9.80672 | + | 5.66191i | −1.05749 | + | 0.610540i | ||||
\(87\) | −6.18819 | − | 5.76593i | −0.663443 | − | 0.618172i | ||||
\(88\) | 1.35122 | + | 2.34039i | 0.144041 | + | 0.249486i | ||||
\(89\) | 10.3497 | 1.09706 | 0.548532 | − | 0.836130i | \(-0.315187\pi\) | ||||
0.548532 | + | 0.836130i | \(0.315187\pi\) | |||||||
\(90\) | −2.31317 | + | 0.163624i | −0.243830 | + | 0.0172474i | ||||
\(91\) | −9.20787 | − | 2.49300i | −0.965248 | − | 0.261337i | ||||
\(92\) | 5.38541i | 0.561468i | ||||||||
\(93\) | 4.74359 | + | 4.41990i | 0.491887 | + | 0.458322i | ||||
\(94\) | 4.56112 | − | 2.63336i | 0.470444 | − | 0.271611i | ||||
\(95\) | − | 3.61100i | − | 0.370481i | ||||||
\(96\) | −0.388948 | + | 1.68782i | −0.0396968 | + | 0.172262i | ||||
\(97\) | −6.86925 | + | 3.96597i | −0.697467 | + | 0.402683i | −0.806403 | − | 0.591366i | \(-0.798589\pi\) |
0.108936 | + | 0.994049i | \(0.465256\pi\) | |||||||
\(98\) | 6.99889 | − | 0.124461i | 0.706995 | − | 0.0125725i | ||||
\(99\) | 8.08713 | − | 0.572048i | 0.812787 | − | 0.0574929i | ||||
\(100\) | −2.20125 | + | 3.81267i | −0.220125 | + | 0.381267i | ||||
\(101\) | −5.08348 | − | 8.80484i | −0.505825 | − | 0.876115i | −0.999977 | − | 0.00673938i | \(-0.997855\pi\) |
0.494152 | − | 0.869375i | \(-0.335479\pi\) | |||||||
\(102\) | −1.02976 | + | 4.46858i | −0.101961 | + | 0.442455i | ||||
\(103\) | 8.01582 | − | 4.62793i | 0.789822 | − | 0.456004i | −0.0500780 | − | 0.998745i | \(-0.515947\pi\) |
0.839900 | + | 0.542741i | \(0.182614\pi\) | |||||||
\(104\) | −1.76675 | − | 3.14302i | −0.173244 | − | 0.308199i | ||||
\(105\) | −1.63385 | + | 3.14295i | −0.159448 | + | 0.306720i | ||||
\(106\) | 1.82591 | − | 3.16257i | 0.177348 | − | 0.307176i | ||||
\(107\) | − | 1.21168i | − | 0.117137i | −0.998283 | − | 0.0585686i | \(-0.981346\pi\) | ||
0.998283 | − | 0.0585686i | \(-0.0186536\pi\) | |||||||
\(108\) | 4.04211 | + | 3.26517i | 0.388953 | + | 0.314191i | ||||
\(109\) | −3.83041 | + | 6.63447i | −0.366887 | + | 0.635467i | −0.989077 | − | 0.147400i | \(-0.952910\pi\) |
0.622190 | + | 0.782866i | \(0.286243\pi\) | |||||||
\(110\) | −1.04447 | + | 1.80908i | −0.0995867 | + | 0.172489i | ||||
\(111\) | −7.71048 | − | 1.77684i | −0.731847 | − | 0.168650i | ||||
\(112\) | 1.88739 | + | 1.85412i | 0.178341 | + | 0.175198i | ||||
\(113\) | 8.89202 | − | 5.13381i | 0.836491 | − | 0.482948i | −0.0195790 | − | 0.999808i | \(-0.506233\pi\) |
0.856070 | + | 0.516860i | \(0.172899\pi\) | |||||||
\(114\) | −5.51587 | + | 5.91981i | −0.516608 | + | 0.554441i | ||||
\(115\) | −3.60512 | + | 2.08142i | −0.336180 | + | 0.194093i | ||||
\(116\) | −4.22905 | − | 2.44165i | −0.392658 | − | 0.226701i | ||||
\(117\) | −10.7978 | + | 0.639100i | −0.998253 | + | 0.0590849i | ||||
\(118\) | 11.2248i | 1.03333i | ||||||||
\(119\) | 4.99696 | + | 4.90889i | 0.458070 | + | 0.449997i | ||||
\(120\) | −1.28019 | + | 0.391956i | −0.116865 | + | 0.0357806i | ||||
\(121\) | −1.84839 | + | 3.20151i | −0.168036 | + | 0.291046i | ||||
\(122\) | 6.50875 | − | 11.2735i | 0.589274 | − | 1.02065i | ||||
\(123\) | −11.5716 | + | 12.4191i | −1.04338 | + | 1.11979i | ||||
\(124\) | 3.24180 | + | 1.87166i | 0.291123 | + | 0.168080i | ||||
\(125\) | −7.26798 | −0.650068 | ||||||||
\(126\) | 7.47941 | − | 2.65676i | 0.666319 | − | 0.236683i | ||||
\(127\) | −3.63055 | + | 6.28830i | −0.322159 | + | 0.557996i | −0.980933 | − | 0.194345i | \(-0.937742\pi\) |
0.658774 | + | 0.752341i | \(0.271075\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 5.74196 | + | 18.7541i | 0.505552 | + | 1.65121i | ||||
\(130\) | 1.42118 | − | 2.39746i | 0.124646 | − | 0.210271i | ||||
\(131\) | −5.48186 | − | 9.49487i | −0.478953 | − | 0.829570i | 0.520756 | − | 0.853706i | \(-0.325650\pi\) |
−0.999709 | + | 0.0241352i | \(0.992317\pi\) | |||||||
\(132\) | 4.47570 | − | 1.37033i | 0.389559 | − | 0.119272i | ||||
\(133\) | 3.30492 | + | 11.9096i | 0.286573 | + | 1.03269i | ||||
\(134\) | 6.01140 | − | 3.47068i | 0.519306 | − | 0.299821i | ||||
\(135\) | −0.623537 | + | 3.96785i | −0.0536655 | + | 0.341498i | ||||
\(136\) | 2.64755i | 0.227026i | ||||||||
\(137\) | − | 4.98739i | − | 0.426102i | −0.977041 | − | 0.213051i | \(-0.931660\pi\) | ||
0.977041 | − | 0.213051i | \(-0.0683400\pi\) | |||||||
\(138\) | 9.08958 | + | 2.09464i | 0.773756 | + | 0.178308i | ||||
\(139\) | 0.244965 | − | 0.141431i | 0.0207777 | − | 0.0119960i | −0.489575 | − | 0.871961i | \(-0.662848\pi\) |
0.510353 | + | 0.859965i | \(0.329515\pi\) | |||||||
\(140\) | −0.511734 | + | 1.98007i | −0.0432494 | + | 0.167346i | ||||
\(141\) | −2.67059 | − | 8.72257i | −0.224905 | − | 0.734573i | ||||
\(142\) | −5.60701 | − | 9.71163i | −0.470530 | − | 0.814982i | ||||
\(143\) | −4.96861 | + | 8.38181i | −0.415496 | + | 0.700922i | ||||
\(144\) | 2.69744 | + | 1.31294i | 0.224787 | + | 0.109412i | ||||
\(145\) | − | 3.77471i | − | 0.313472i | ||||||
\(146\) | 5.19392 | − | 8.99614i | 0.429852 | − | 0.744525i | ||||
\(147\) | 2.51214 | − | 11.8612i | 0.207197 | − | 0.978299i | ||||
\(148\) | −4.56832 | −0.375514 | ||||||||
\(149\) | −0.346111 | − | 0.199827i | −0.0283545 | − | 0.0163705i | 0.485756 | − | 0.874095i | \(-0.338544\pi\) |
−0.514110 | + | 0.857724i | \(0.671878\pi\) | |||||||
\(150\) | 5.57892 | + | 5.19823i | 0.455517 | + | 0.424434i | ||||
\(151\) | 3.60132 | − | 6.23766i | 0.293071 | − | 0.507614i | −0.681463 | − | 0.731852i | \(-0.738656\pi\) |
0.974534 | + | 0.224238i | \(0.0719894\pi\) | |||||||
\(152\) | −2.33575 | + | 4.04565i | −0.189455 | + | 0.328145i | ||||
\(153\) | 7.14162 | + | 3.47609i | 0.577365 | + | 0.281025i | ||||
\(154\) | 1.78908 | − | 6.92255i | 0.144168 | − | 0.557835i | ||||
\(155\) | 2.89352i | 0.232413i | ||||||||
\(156\) | −5.99201 | + | 1.75948i | −0.479745 | + | 0.140871i | ||||
\(157\) | −10.4752 | − | 6.04786i | −0.836012 | − | 0.482672i | 0.0198945 | − | 0.999802i | \(-0.493667\pi\) |
−0.855907 | + | 0.517130i | \(0.827000\pi\) | |||||||
\(158\) | 8.91380 | − | 5.14638i | 0.709144 | − | 0.409424i | ||||
\(159\) | −4.62765 | − | 4.31188i | −0.366997 | − | 0.341954i | ||||
\(160\) | −0.669424 | + | 0.386492i | −0.0529226 | + | 0.0305549i | ||||
\(161\) | 9.98521 | − | 10.1644i | 0.786945 | − | 0.801063i | ||||
\(162\) | 7.08317 | − | 5.55236i | 0.556506 | − | 0.436235i | ||||
\(163\) | 4.72234 | − | 8.17934i | 0.369883 | − | 0.640655i | −0.619664 | − | 0.784867i | \(-0.712731\pi\) |
0.989547 | + | 0.144212i | \(0.0460646\pi\) | |||||||
\(164\) | −4.90014 | + | 8.48729i | −0.382637 | + | 0.662746i | ||||
\(165\) | 2.64715 | + | 2.46652i | 0.206080 | + | 0.192018i | ||||
\(166\) | 16.3639i | 1.27009i | ||||||||
\(167\) | −9.42868 | + | 16.3310i | −0.729614 | + | 1.26373i | 0.227433 | + | 0.973794i | \(0.426967\pi\) |
−0.957047 | + | 0.289934i | \(0.906367\pi\) | |||||||
\(168\) | 3.86351 | − | 2.46440i | 0.298076 | − | 0.190133i | ||||
\(169\) | 6.75717 | − | 11.1059i | 0.519782 | − | 0.854299i | ||||
\(170\) | −1.77234 | + | 1.02326i | −0.135932 | + | 0.0784804i | ||||
\(171\) | 7.84617 | + | 11.6123i | 0.600012 | + | 0.888012i | ||||
\(172\) | 5.66191 | + | 9.80672i | 0.431717 | + | 0.747756i | ||||
\(173\) | −6.00907 | + | 10.4080i | −0.456861 | + | 0.791307i | −0.998793 | − | 0.0491157i | \(-0.984360\pi\) |
0.541932 | + | 0.840422i | \(0.317693\pi\) | |||||||
\(174\) | −5.76593 | + | 6.18819i | −0.437114 | + | 0.469125i | ||||
\(175\) | 11.2238 | − | 3.11461i | 0.848437 | − | 0.235442i | ||||
\(176\) | 2.34039 | − | 1.35122i | 0.176413 | − | 0.101852i | ||||
\(177\) | 18.9455 | + | 4.36587i | 1.42403 | + | 0.328159i | ||||
\(178\) | − | 10.3497i | − | 0.775741i | ||||||
\(179\) | −11.8611 | + | 6.84801i | −0.886541 | + | 0.511844i | −0.872809 | − | 0.488061i | \(-0.837704\pi\) |
−0.0137312 | + | 0.999906i | \(0.504371\pi\) | |||||||
\(180\) | 0.163624 | + | 2.31317i | 0.0121958 | + | 0.172414i | ||||
\(181\) | 13.0400i | 0.969257i | 0.874720 | + | 0.484628i | \(0.161045\pi\) | ||||
−0.874720 | + | 0.484628i | \(0.838955\pi\) | |||||||
\(182\) | −2.49300 | + | 9.20787i | −0.184793 | + | 0.682533i | ||||
\(183\) | −16.4960 | − | 15.3704i | −1.21942 | − | 1.13621i | ||||
\(184\) | 5.38541 | 0.397018 | ||||||||
\(185\) | −1.76562 | − | 3.05815i | −0.129811 | − | 0.224839i | ||||
\(186\) | 4.41990 | − | 4.74359i | 0.324083 | − | 0.347817i | ||||
\(187\) | 6.19630 | − | 3.57744i | 0.453118 | − | 0.261608i | ||||
\(188\) | −2.63336 | − | 4.56112i | −0.192058 | − | 0.332654i | ||||
\(189\) | −1.57501 | − | 13.6572i | −0.114565 | − | 0.993416i | ||||
\(190\) | −3.61100 | −0.261970 | ||||||||
\(191\) | 1.68042 | + | 0.970190i | 0.121591 | + | 0.0702005i | 0.559562 | − | 0.828789i | \(-0.310969\pi\) |
−0.437971 | + | 0.898989i | \(0.644303\pi\) | |||||||
\(192\) | 1.68782 | + | 0.388948i | 0.121808 | + | 0.0280699i | ||||
\(193\) | −5.02278 | − | 8.69971i | −0.361548 | − | 0.626219i | 0.626668 | − | 0.779286i | \(-0.284418\pi\) |
−0.988216 | + | 0.153067i | \(0.951085\pi\) | |||||||
\(194\) | 3.96597 | + | 6.86925i | 0.284740 | + | 0.493184i | ||||
\(195\) | −3.49371 | − | 3.33117i | −0.250189 | − | 0.238550i | ||||
\(196\) | −0.124461 | − | 6.99889i | −0.00889008 | − | 0.499921i | ||||
\(197\) | −2.55609 | − | 1.47576i | −0.182114 | − | 0.105143i | 0.406172 | − | 0.913797i | \(-0.366863\pi\) |
−0.588285 | + | 0.808653i | \(0.700197\pi\) | |||||||
\(198\) | −0.572048 | − | 8.08713i | −0.0406536 | − | 0.574727i | ||||
\(199\) | 2.80034i | 0.198511i | 0.995062 | + | 0.0992553i | \(0.0316461\pi\) | ||||
−0.995062 | + | 0.0992553i | \(0.968354\pi\) | |||||||
\(200\) | 3.81267 | + | 2.20125i | 0.269597 | + | 0.155652i | ||||
\(201\) | −3.51975 | − | 11.4960i | −0.248264 | − | 0.810868i | ||||
\(202\) | −8.80484 | + | 5.08348i | −0.619507 | + | 0.357672i | ||||
\(203\) | 3.45475 | + | 12.4495i | 0.242476 | + | 0.873784i | ||||
\(204\) | 4.46858 | + | 1.02976i | 0.312863 | + | 0.0720976i | ||||
\(205\) | −7.57546 | −0.529093 | ||||||||
\(206\) | −4.62793 | − | 8.01582i | −0.322443 | − | 0.558488i | ||||
\(207\) | 7.07074 | − | 14.5268i | 0.491450 | − | 1.00968i | ||||
\(208\) | −3.14302 | + | 1.76675i | −0.217929 | + | 0.122502i | ||||
\(209\) | 12.6245 | 0.873255 | ||||||||
\(210\) | 3.14295 | + | 1.63385i | 0.216884 | + | 0.112747i | ||||
\(211\) | −6.57341 | + | 11.3855i | −0.452532 | + | 0.783809i | −0.998543 | − | 0.0539696i | \(-0.982813\pi\) |
0.546010 | + | 0.837778i | \(0.316146\pi\) | |||||||
\(212\) | −3.16257 | − | 1.82591i | −0.217206 | − | 0.125404i | ||||
\(213\) | −18.5723 | + | 5.68628i | −1.27255 | + | 0.389618i | ||||
\(214\) | −1.21168 | −0.0828285 | ||||||||
\(215\) | −4.37657 | + | 7.58044i | −0.298480 | + | 0.516982i | ||||
\(216\) | 3.26517 | − | 4.04211i | 0.222167 | − | 0.275031i | ||||
\(217\) | −2.64826 | − | 9.54324i | −0.179776 | − | 0.647837i | ||||
\(218\) | 6.63447 | + | 3.83041i | 0.449343 | + | 0.259428i | ||||
\(219\) | −13.1637 | − | 12.2654i | −0.889517 | − | 0.828819i | ||||
\(220\) | 1.80908 | + | 1.04447i | 0.121968 | + | 0.0704184i | ||||
\(221\) | −8.32132 | + | 4.67757i | −0.559752 | + | 0.314648i | ||||
\(222\) | −1.77684 | + | 7.71048i | −0.119254 | + | 0.517494i | ||||
\(223\) | −2.33020 | − | 1.34534i | −0.156042 | − | 0.0900908i | 0.419946 | − | 0.907549i | \(-0.362049\pi\) |
−0.575988 | + | 0.817458i | \(0.695382\pi\) | |||||||
\(224\) | 1.85412 | − | 1.88739i | 0.123884 | − | 0.126106i | ||||
\(225\) | 10.9436 | − | 7.39434i | 0.729570 | − | 0.492956i | ||||
\(226\) | −5.13381 | − | 8.89202i | −0.341496 | − | 0.591488i | ||||
\(227\) | −5.28026 | −0.350463 | −0.175232 | − | 0.984527i | \(-0.556067\pi\) | ||||
−0.175232 | + | 0.984527i | \(0.556067\pi\) | |||||||
\(228\) | 5.91981 | + | 5.51587i | 0.392049 | + | 0.365297i | ||||
\(229\) | 22.9130 | − | 13.2288i | 1.51414 | − | 0.874187i | 0.514273 | − | 0.857626i | \(-0.328062\pi\) |
0.999863 | − | 0.0165604i | \(-0.00527159\pi\) | |||||||
\(230\) | 2.08142 | + | 3.60512i | 0.137245 | + | 0.237715i | ||||
\(231\) | −10.9881 | − | 5.71215i | −0.722965 | − | 0.375832i | ||||
\(232\) | −2.44165 | + | 4.22905i | −0.160302 | + | 0.277651i | ||||
\(233\) | −3.01825 | + | 1.74259i | −0.197732 | + | 0.114161i | −0.595597 | − | 0.803283i | \(-0.703085\pi\) |
0.397865 | + | 0.917444i | \(0.369751\pi\) | |||||||
\(234\) | 0.639100 | + | 10.7978i | 0.0417793 | + | 0.705871i | ||||
\(235\) | 2.03555 | − | 3.52567i | 0.132785 | − | 0.229990i | ||||
\(236\) | 11.2248 | 0.730675 | ||||||||
\(237\) | −5.21914 | − | 17.0465i | −0.339020 | − | 1.10729i | ||||
\(238\) | 4.90889 | − | 4.99696i | 0.318196 | − | 0.323905i | ||||
\(239\) | − | 11.0001i | − | 0.711539i | −0.934574 | − | 0.355769i | \(-0.884219\pi\) | ||
0.934574 | − | 0.355769i | \(-0.115781\pi\) | |||||||
\(240\) | 0.391956 | + | 1.28019i | 0.0253007 | + | 0.0826359i | ||||
\(241\) | 2.31184i | 0.148919i | 0.997224 | + | 0.0744594i | \(0.0237231\pi\) | ||||
−0.997224 | + | 0.0744594i | \(0.976277\pi\) | |||||||
\(242\) | 3.20151 | + | 1.84839i | 0.205801 | + | 0.118819i | ||||
\(243\) | −6.61638 | − | 14.1147i | −0.424441 | − | 0.905456i | ||||
\(244\) | −11.2735 | − | 6.50875i | −0.721710 | − | 0.416680i | ||||
\(245\) | 4.63712 | − | 2.78834i | 0.296255 | − | 0.178140i | ||||
\(246\) | 12.4191 | + | 11.5716i | 0.791812 | + | 0.737781i | ||||
\(247\) | −16.8423 | − | 0.193671i | −1.07165 | − | 0.0123230i | ||||
\(248\) | 1.87166 | − | 3.24180i | 0.118850 | − | 0.205855i | ||||
\(249\) | 27.6192 | + | 6.36470i | 1.75030 | + | 0.403346i | ||||
\(250\) | 7.26798i | 0.459668i | ||||||||
\(251\) | −4.19795 | − | 7.27107i | −0.264973 | − | 0.458946i | 0.702584 | − | 0.711601i | \(-0.252030\pi\) |
−0.967556 | + | 0.252655i | \(0.918696\pi\) | |||||||
\(252\) | −2.65676 | − | 7.47941i | −0.167360 | − | 0.471159i | ||||
\(253\) | −7.27689 | − | 12.6039i | −0.457494 | − | 0.792403i | ||||
\(254\) | 6.28830 | + | 3.63055i | 0.394563 | + | 0.227801i | ||||
\(255\) | 1.03773 | + | 3.38937i | 0.0649849 | + | 0.212251i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −24.6420 | −1.53713 | −0.768564 | − | 0.639773i | \(-0.779028\pi\) | ||||
−0.768564 | + | 0.639773i | \(0.779028\pi\) | |||||||
\(258\) | 18.7541 | − | 5.74196i | 1.16758 | − | 0.357479i | ||||
\(259\) | 8.62219 | + | 8.47023i | 0.535757 | + | 0.526314i | ||||
\(260\) | −2.39746 | − | 1.42118i | −0.148684 | − | 0.0881377i | ||||
\(261\) | 8.20188 | + | 12.1387i | 0.507683 | + | 0.751367i | ||||
\(262\) | −9.49487 | + | 5.48186i | −0.586595 | + | 0.338671i | ||||
\(263\) | −19.7538 | + | 11.4049i | −1.21807 | + | 0.703254i | −0.964505 | − | 0.264065i | \(-0.914937\pi\) |
−0.253566 | + | 0.967318i | \(0.581603\pi\) | |||||||
\(264\) | −1.37033 | − | 4.47570i | −0.0843378 | − | 0.275460i | ||||
\(265\) | − | 2.82280i | − | 0.173403i | ||||||
\(266\) | 11.9096 | − | 3.30492i | 0.730224 | − | 0.202638i | ||||
\(267\) | −17.4683 | − | 4.02548i | −1.06905 | − | 0.246356i | ||||
\(268\) | −3.47068 | − | 6.01140i | −0.212006 | − | 0.367205i | ||||
\(269\) | −1.82889 | −0.111510 | −0.0557548 | − | 0.998444i | \(-0.517757\pi\) | ||||
−0.0557548 | + | 0.998444i | \(0.517757\pi\) | |||||||
\(270\) | 3.96785 | + | 0.623537i | 0.241476 | + | 0.0379472i | ||||
\(271\) | − | 7.29891i | − | 0.443377i | −0.975118 | − | 0.221689i | \(-0.928843\pi\) | ||
0.975118 | − | 0.221689i | \(-0.0711568\pi\) | |||||||
\(272\) | 2.64755 | 0.160532 | ||||||||
\(273\) | 14.5715 | + | 7.78910i | 0.881910 | + | 0.471418i | ||||
\(274\) | −4.98739 | −0.301299 | ||||||||
\(275\) | − | 11.8975i | − | 0.717447i | ||||||
\(276\) | 2.09464 | − | 9.08958i | 0.126083 | − | 0.547128i | ||||
\(277\) | −16.9183 | −1.01652 | −0.508260 | − | 0.861203i | \(-0.669711\pi\) | ||||
−0.508260 | + | 0.861203i | \(0.669711\pi\) | |||||||
\(278\) | −0.141431 | − | 0.244965i | −0.00848244 | − | 0.0146920i | ||||
\(279\) | −6.28719 | − | 9.30498i | −0.376404 | − | 0.557075i | ||||
\(280\) | 1.98007 | + | 0.511734i | 0.118332 | + | 0.0305819i | ||||
\(281\) | 31.6214i | 1.88637i | 0.332263 | + | 0.943187i | \(0.392188\pi\) | ||||
−0.332263 | + | 0.943187i | \(0.607812\pi\) | |||||||
\(282\) | −8.72257 | + | 2.67059i | −0.519421 | + | 0.159032i | ||||
\(283\) | 0.590743 | − | 0.341066i | 0.0351161 | − | 0.0202743i | −0.482339 | − | 0.875985i | \(-0.660213\pi\) |
0.517455 | + | 0.855710i | \(0.326879\pi\) | |||||||
\(284\) | −9.71163 | + | 5.60701i | −0.576279 | + | 0.332715i | ||||
\(285\) | −1.40449 | + | 6.09471i | −0.0831949 | + | 0.361019i | ||||
\(286\) | 8.38181 | + | 4.96861i | 0.495627 | + | 0.293800i | ||||
\(287\) | 24.9849 | − | 6.93335i | 1.47481 | − | 0.409263i | ||||
\(288\) | 1.31294 | − | 2.69744i | 0.0773659 | − | 0.158948i | ||||
\(289\) | −9.99046 | −0.587674 | ||||||||
\(290\) | −3.77471 | −0.221658 | ||||||||
\(291\) | 13.1366 | − | 4.02204i | 0.770080 | − | 0.235776i | ||||
\(292\) | −8.99614 | − | 5.19392i | −0.526459 | − | 0.303951i | ||||
\(293\) | −3.90007 | − | 6.75511i | −0.227844 | − | 0.394638i | 0.729325 | − | 0.684168i | \(-0.239834\pi\) |
−0.957169 | + | 0.289530i | \(0.906501\pi\) | |||||||
\(294\) | −11.8612 | − | 2.51214i | −0.691762 | − | 0.146511i | ||||
\(295\) | 4.33831 | + | 7.51418i | 0.252586 | + | 0.437492i | ||||
\(296\) | 4.56832i | 0.265528i | ||||||||
\(297\) | −13.8721 | − | 2.17996i | −0.804940 | − | 0.126494i | ||||
\(298\) | −0.199827 | + | 0.346111i | −0.0115757 | + | 0.0200497i | ||||
\(299\) | 9.51469 | + | 16.9265i | 0.550249 | + | 0.978883i | ||||
\(300\) | 5.19823 | − | 5.57892i | 0.300120 | − | 0.322099i | ||||
\(301\) | 7.49664 | − | 29.0070i | 0.432099 | − | 1.67193i | ||||
\(302\) | −6.23766 | − | 3.60132i | −0.358937 | − | 0.207233i | ||||
\(303\) | 5.15535 | + | 16.8382i | 0.296167 | + | 0.967327i | ||||
\(304\) | 4.04565 | + | 2.33575i | 0.232034 | + | 0.133965i | ||||
\(305\) | − | 10.0623i | − | 0.576167i | ||||||
\(306\) | 3.47609 | − | 7.14162i | 0.198715 | − | 0.408259i | ||||
\(307\) | − | 1.62307i | − | 0.0926335i | −0.998927 | − | 0.0463167i | \(-0.985252\pi\) | ||
0.998927 | − | 0.0463167i | \(-0.0147484\pi\) | |||||||
\(308\) | −6.92255 | − | 1.78908i | −0.394449 | − | 0.101942i | ||||
\(309\) | −15.3292 | + | 4.69336i | −0.872050 | + | 0.266996i | ||||
\(310\) | 2.89352 | 0.164341 | ||||||||
\(311\) | 15.1988 | − | 26.3252i | 0.861847 | − | 1.49276i | −0.00829636 | − | 0.999966i | \(-0.502641\pi\) |
0.870144 | − | 0.492798i | \(-0.164026\pi\) | |||||||
\(312\) | 1.75948 | + | 5.99201i | 0.0996110 | + | 0.339231i | ||||
\(313\) | 4.29992 | − | 2.48256i | 0.243046 | − | 0.140323i | −0.373530 | − | 0.927618i | \(-0.621853\pi\) |
0.616576 | + | 0.787296i | \(0.288519\pi\) | |||||||
\(314\) | −6.04786 | + | 10.4752i | −0.341301 | + | 0.591150i | ||||
\(315\) | 3.98009 | − | 4.66923i | 0.224252 | − | 0.263081i | ||||
\(316\) | −5.14638 | − | 8.91380i | −0.289507 | − | 0.501440i | ||||
\(317\) | 11.5891 | − | 6.69094i | 0.650906 | − | 0.375801i | −0.137897 | − | 0.990447i | \(-0.544034\pi\) |
0.788803 | + | 0.614646i | \(0.210701\pi\) | |||||||
\(318\) | −4.31188 | + | 4.62765i | −0.241798 | + | 0.259506i | ||||
\(319\) | 13.1968 | 0.738881 | ||||||||
\(320\) | 0.386492 | + | 0.669424i | 0.0216056 | + | 0.0374219i | ||||
\(321\) | −0.471278 | + | 2.04508i | −0.0263042 | + | 0.114145i | ||||
\(322\) | −10.1644 | − | 9.98521i | −0.566437 | − | 0.556454i | ||||
\(323\) | 10.7111 | + | 6.18403i | 0.595979 | + | 0.344089i | ||||
\(324\) | −5.55236 | − | 7.08317i | −0.308464 | − | 0.393509i | ||||
\(325\) | −0.182518 | + | 15.8724i | −0.0101243 | + | 0.880441i | ||||
\(326\) | −8.17934 | − | 4.72234i | −0.453012 | − | 0.261546i | ||||
\(327\) | 9.04548 | − | 9.70792i | 0.500216 | − | 0.536849i | ||||
\(328\) | 8.48729 | + | 4.90014i | 0.468632 | + | 0.270565i | ||||
\(329\) | −3.48670 | + | 13.4912i | −0.192228 | + | 0.743793i | ||||
\(330\) | 2.46652 | − | 2.64715i | 0.135777 | − | 0.145721i | ||||
\(331\) | 14.7575 | − | 25.5607i | 0.811145 | − | 1.40494i | −0.100918 | − | 0.994895i | \(-0.532178\pi\) |
0.912063 | − | 0.410049i | \(-0.134489\pi\) | |||||||
\(332\) | 16.3639 | 0.898086 | ||||||||
\(333\) | 12.3228 | + | 5.99795i | 0.675284 | + | 0.328686i | ||||
\(334\) | 16.3310 | + | 9.42868i | 0.893590 | + | 0.515915i | ||||
\(335\) | 2.68278 | − | 4.64672i | 0.146576 | − | 0.253877i | ||||
\(336\) | −2.46440 | − | 3.86351i | −0.134444 | − | 0.210772i | ||||
\(337\) | −30.1118 | −1.64030 | −0.820148 | − | 0.572152i | \(-0.806109\pi\) | ||||
−0.820148 | + | 0.572152i | \(0.806109\pi\) | |||||||
\(338\) | −11.1059 | − | 6.75717i | −0.604080 | − | 0.367542i | ||||
\(339\) | −17.0049 | + | 5.20639i | −0.923578 | + | 0.282772i | ||||
\(340\) | 1.02326 | + | 1.77234i | 0.0554940 | + | 0.0961184i | ||||
\(341\) | −10.1161 | −0.547818 | ||||||||
\(342\) | 11.6123 | − | 7.84617i | 0.627919 | − | 0.424272i | ||||
\(343\) | −12.7419 | + | 13.4404i | −0.687998 | + | 0.725713i | ||||
\(344\) | 9.80672 | − | 5.66191i | 0.528743 | − | 0.305270i | ||||
\(345\) | 6.89435 | − | 2.11085i | 0.371179 | − | 0.113644i | ||||
\(346\) | 10.4080 | + | 6.00907i | 0.559538 | + | 0.323050i | ||||
\(347\) | 13.4578i | 0.722453i | 0.932478 | + | 0.361227i | \(0.117642\pi\) | ||||
−0.932478 | + | 0.361227i | \(0.882358\pi\) | |||||||
\(348\) | 6.18819 | + | 5.76593i | 0.331722 | + | 0.309086i | ||||
\(349\) | 8.96543 | + | 5.17619i | 0.479908 | + | 0.277075i | 0.720378 | − | 0.693581i | \(-0.243968\pi\) |
−0.240470 | + | 0.970657i | \(0.577302\pi\) | |||||||
\(350\) | −3.11461 | − | 11.2238i | −0.166483 | − | 0.599936i | ||||
\(351\) | 18.4732 | + | 3.12108i | 0.986026 | + | 0.166591i | ||||
\(352\) | −1.35122 | − | 2.34039i | −0.0720204 | − | 0.124743i | ||||
\(353\) | 14.9512 | + | 25.8963i | 0.795775 | + | 1.37832i | 0.922346 | + | 0.386364i | \(0.126269\pi\) |
−0.126572 | + | 0.991957i | \(0.540397\pi\) | |||||||
\(354\) | 4.36587 | − | 18.9455i | 0.232044 | − | 1.00694i | ||||
\(355\) | −7.50694 | − | 4.33413i | −0.398427 | − | 0.230032i | ||||
\(356\) | −10.3497 | −0.548532 | ||||||||
\(357\) | −6.52464 | − | 10.2288i | −0.345321 | − | 0.541368i | ||||
\(358\) | 6.84801 | + | 11.8611i | 0.361929 | + | 0.626879i | ||||
\(359\) | −5.15529 | + | 2.97641i | −0.272086 | + | 0.157089i | −0.629835 | − | 0.776729i | \(-0.716878\pi\) |
0.357749 | + | 0.933818i | \(0.383544\pi\) | |||||||
\(360\) | 2.31317 | − | 0.163624i | 0.121915 | − | 0.00862372i | ||||
\(361\) | 1.41150 | + | 2.44478i | 0.0742893 | + | 0.128673i | ||||
\(362\) | 13.0400 | 0.685368 | ||||||||
\(363\) | 4.36497 | − | 4.68463i | 0.229101 | − | 0.245879i | ||||
\(364\) | 9.20787 | + | 2.49300i | 0.482624 | + | 0.130669i | ||||
\(365\) | − | 8.02964i | − | 0.420291i | ||||||
\(366\) | −15.3704 | + | 16.4960i | −0.803421 | + | 0.862259i | ||||
\(367\) | −14.7758 | + | 8.53079i | −0.771288 | + | 0.445303i | −0.833334 | − | 0.552770i | \(-0.813571\pi\) |
0.0620458 | + | 0.998073i | \(0.480238\pi\) | |||||||
\(368\) | − | 5.38541i | − | 0.280734i | ||||||
\(369\) | 24.3612 | − | 16.4604i | 1.26819 | − | 0.856892i | ||||
\(370\) | −3.05815 | + | 1.76562i | −0.158985 | + | 0.0917903i | ||||
\(371\) | 2.58353 | + | 9.31000i | 0.134130 | + | 0.483351i | ||||
\(372\) | −4.74359 | − | 4.41990i | −0.245944 | − | 0.229161i | ||||
\(373\) | −11.8330 | + | 20.4954i | −0.612690 | + | 1.06121i | 0.378096 | + | 0.925767i | \(0.376579\pi\) |
−0.990785 | + | 0.135443i | \(0.956754\pi\) | |||||||
\(374\) | −3.57744 | − | 6.19630i | −0.184985 | − | 0.320403i | ||||
\(375\) | 12.2670 | + | 2.82686i | 0.633466 | + | 0.145979i | ||||
\(376\) | −4.56112 | + | 2.63336i | −0.235222 | + | 0.135805i | ||||
\(377\) | −17.6058 | − | 0.202451i | −0.906744 | − | 0.0104268i | ||||
\(378\) | −13.6572 | + | 1.57501i | −0.702451 | + | 0.0810099i | ||||
\(379\) | 13.2966 | − | 23.0303i | 0.682998 | − | 1.18299i | −0.291063 | − | 0.956704i | \(-0.594009\pi\) |
0.974061 | − | 0.226284i | \(-0.0726576\pi\) | |||||||
\(380\) | 3.61100i | 0.185241i | ||||||||
\(381\) | 8.57352 | − | 9.20139i | 0.439235 | − | 0.471402i | ||||
\(382\) | 0.970190 | − | 1.68042i | 0.0496392 | − | 0.0859777i | ||||
\(383\) | 7.81768 | − | 13.5406i | 0.399465 | − | 0.691893i | −0.594195 | − | 0.804321i | \(-0.702529\pi\) |
0.993660 | + | 0.112428i | \(0.0358627\pi\) | |||||||
\(384\) | 0.388948 | − | 1.68782i | 0.0198484 | − | 0.0861310i | ||||
\(385\) | −1.47786 | − | 5.32559i | −0.0753185 | − | 0.271417i | ||||
\(386\) | −8.69971 | + | 5.02278i | −0.442804 | + | 0.255653i | ||||
\(387\) | −2.39700 | − | 33.8868i | −0.121846 | − | 1.72256i | ||||
\(388\) | 6.86925 | − | 3.96597i | 0.348734 | − | 0.201341i | ||||
\(389\) | 4.64668 | + | 2.68276i | 0.235596 | + | 0.136021i | 0.613151 | − | 0.789966i | \(-0.289902\pi\) |
−0.377555 | + | 0.925987i | \(0.623235\pi\) | |||||||
\(390\) | −3.33117 | + | 3.49371i | −0.168680 | + | 0.176911i | ||||
\(391\) | − | 14.2582i | − | 0.721066i | ||||||
\(392\) | −6.99889 | + | 0.124461i | −0.353498 | + | 0.00628624i | ||||
\(393\) | 5.55937 | + | 18.1577i | 0.280433 | + | 0.915937i | ||||
\(394\) | −1.47576 | + | 2.55609i | −0.0743476 | + | 0.128774i | ||||
\(395\) | 3.97807 | − | 6.89023i | 0.200159 | − | 0.346685i | ||||
\(396\) | −8.08713 | + | 0.572048i | −0.406394 | + | 0.0287465i | ||||
\(397\) | 5.03723 | + | 2.90825i | 0.252812 | + | 0.145961i | 0.621051 | − | 0.783770i | \(-0.286706\pi\) |
−0.368239 | + | 0.929731i | \(0.620039\pi\) | |||||||
\(398\) | 2.80034 | 0.140368 | ||||||||
\(399\) | −0.945895 | − | 21.3866i | −0.0473540 | − | 1.07067i | ||||
\(400\) | 2.20125 | − | 3.81267i | 0.110062 | − | 0.190634i | ||||
\(401\) | 8.68621i | 0.433769i | 0.976197 | + | 0.216884i | \(0.0695895\pi\) | ||||
−0.976197 | + | 0.216884i | \(0.930411\pi\) | |||||||
\(402\) | −11.4960 | + | 3.51975i | −0.573370 | + | 0.175549i | ||||
\(403\) | 13.4958 | + | 0.155190i | 0.672274 | + | 0.00773057i | ||||
\(404\) | 5.08348 | + | 8.80484i | 0.252913 | + | 0.438057i | ||||
\(405\) | 2.59570 | − | 6.45447i | 0.128981 | − | 0.320725i | ||||
\(406\) | 12.4495 | − | 3.45475i | 0.617859 | − | 0.171457i | ||||
\(407\) | 10.6916 | − | 6.17282i | 0.529965 | − | 0.305975i | ||||
\(408\) | 1.02976 | − | 4.46858i | 0.0509807 | − | 0.221228i | ||||
\(409\) | 10.0665i | 0.497758i | 0.968535 | + | 0.248879i | \(0.0800621\pi\) | ||||
−0.968535 | + | 0.248879i | \(0.919938\pi\) | |||||||
\(410\) | 7.57546i | 0.374126i | ||||||||
\(411\) | −1.93983 | + | 8.41779i | −0.0956849 | + | 0.415219i | ||||
\(412\) | −8.01582 | + | 4.62793i | −0.394911 | + | 0.228002i | ||||
\(413\) | −21.1856 | − | 20.8122i | −1.04248 | − | 1.02410i | ||||
\(414\) | −14.5268 | − | 7.07074i | −0.713954 | − | 0.347508i | ||||
\(415\) | 6.32452 | + | 10.9544i | 0.310458 | + | 0.537730i | ||||
\(416\) | 1.76675 | + | 3.14302i | 0.0866222 | + | 0.154099i | ||||
\(417\) | −0.468465 | + | 0.143430i | −0.0229408 | + | 0.00702381i | ||||
\(418\) | − | 12.6245i | − | 0.617484i | ||||||
\(419\) | −6.88362 | + | 11.9228i | −0.336287 | + | 0.582466i | −0.983731 | − | 0.179647i | \(-0.942505\pi\) |
0.647444 | + | 0.762113i | \(0.275838\pi\) | |||||||
\(420\) | 1.63385 | − | 3.14295i | 0.0797239 | − | 0.153360i | ||||
\(421\) | 5.26092 | 0.256402 | 0.128201 | − | 0.991748i | \(-0.459080\pi\) | ||||
0.128201 | + | 0.991748i | \(0.459080\pi\) | |||||||
\(422\) | 11.3855 | + | 6.57341i | 0.554237 | + | 0.319989i | ||||
\(423\) | 1.11485 | + | 15.7608i | 0.0542058 | + | 0.766316i | ||||
\(424\) | −1.82591 | + | 3.16257i | −0.0886741 | + | 0.153588i | ||||
\(425\) | 5.82792 | − | 10.0943i | 0.282696 | − | 0.489643i | ||||
\(426\) | 5.68628 | + | 18.5723i | 0.275501 | + | 0.899829i | ||||
\(427\) | 9.20941 | + | 33.1869i | 0.445674 | + | 1.60603i | ||||
\(428\) | 1.21168i | 0.0585686i | ||||||||
\(429\) | 11.6462 | − | 12.2144i | 0.562283 | − | 0.589717i | ||||
\(430\) | 7.58044 | + | 4.37657i | 0.365561 | + | 0.211057i | ||||
\(431\) | −19.1377 | + | 11.0492i | −0.921832 | + | 0.532220i | −0.884219 | − | 0.467073i | \(-0.845309\pi\) |
−0.0376127 | + | 0.999292i | \(0.511975\pi\) | |||||||
\(432\) | −4.04211 | − | 3.26517i | −0.194476 | − | 0.157095i | ||||
\(433\) | −0.698470 | + | 0.403262i | −0.0335663 | + | 0.0193795i | −0.516689 | − | 0.856173i | \(-0.672836\pi\) |
0.483123 | + | 0.875553i | \(0.339502\pi\) | |||||||
\(434\) | −9.54324 | + | 2.64826i | −0.458090 | + | 0.127121i | ||||
\(435\) | −1.46816 | + | 6.37101i | −0.0703930 | + | 0.305466i | ||||
\(436\) | 3.83041 | − | 6.63447i | 0.183443 | − | 0.317733i | ||||
\(437\) | 12.5790 | − | 21.7875i | 0.601735 | − | 1.04224i | ||||
\(438\) | −12.2654 | + | 13.1637i | −0.586064 | + | 0.628984i | ||||
\(439\) | 22.1127i | 1.05538i | 0.849437 | + | 0.527691i | \(0.176942\pi\) | ||||
−0.849437 | + | 0.527691i | \(0.823058\pi\) | |||||||
\(440\) | 1.04447 | − | 1.80908i | 0.0497934 | − | 0.0862446i | ||||
\(441\) | −8.85342 | + | 19.0425i | −0.421592 | + | 0.906786i | ||||
\(442\) | 4.67757 | + | 8.32132i | 0.222489 | + | 0.395805i | ||||
\(443\) | −22.9597 | + | 13.2558i | −1.09085 | + | 0.629800i | −0.933802 | − | 0.357791i | \(-0.883530\pi\) |
−0.157044 | + | 0.987592i | \(0.550197\pi\) | |||||||
\(444\) | 7.71048 | + | 1.77684i | 0.365923 | + | 0.0843250i | ||||
\(445\) | −4.00007 | − | 6.92833i | −0.189622 | − | 0.328434i | ||||
\(446\) | −1.34534 | + | 2.33020i | −0.0637038 | + | 0.110338i | ||||
\(447\) | 0.506450 | + | 0.471891i | 0.0239542 | + | 0.0223197i | ||||
\(448\) | −1.88739 | − | 1.85412i | −0.0891707 | − | 0.0875990i | ||||
\(449\) | −32.5645 | + | 18.8011i | −1.53681 | + | 0.887279i | −0.537789 | + | 0.843079i | \(0.680740\pi\) |
−0.999023 | + | 0.0441993i | \(0.985926\pi\) | |||||||
\(450\) | −7.39434 | − | 10.9436i | −0.348573 | − | 0.515884i | ||||
\(451\) | − | 26.4847i | − | 1.24712i | ||||||
\(452\) | −8.89202 | + | 5.13381i | −0.418245 | + | 0.241474i | ||||
\(453\) | −8.50448 | + | 9.12730i | −0.399575 | + | 0.428838i | ||||
\(454\) | 5.28026i | 0.247815i | ||||||||
\(455\) | 1.88990 | + | 7.12750i | 0.0885998 | + | 0.334142i | ||||
\(456\) | 5.51587 | − | 5.91981i | 0.258304 | − | 0.277221i | ||||
\(457\) | 19.1061 | 0.893745 | 0.446873 | − | 0.894598i | \(-0.352538\pi\) | ||||
0.446873 | + | 0.894598i | \(0.352538\pi\) | |||||||
\(458\) | −13.2288 | − | 22.9130i | −0.618143 | − | 1.07066i | ||||
\(459\) | −10.7017 | − | 8.64471i | −0.499513 | − | 0.403500i | ||||
\(460\) | 3.60512 | − | 2.08142i | 0.168090 | − | 0.0970467i | ||||
\(461\) | 2.14345 | + | 3.71257i | 0.0998306 | + | 0.172912i | 0.911614 | − | 0.411046i | \(-0.134837\pi\) |
−0.811784 | + | 0.583958i | \(0.801503\pi\) | |||||||
\(462\) | −5.71215 | + | 10.9881i | −0.265753 | + | 0.511214i | ||||
\(463\) | 30.5605 | 1.42027 | 0.710134 | − | 0.704066i | \(-0.248634\pi\) | ||||
0.710134 | + | 0.704066i | \(0.248634\pi\) | |||||||
\(464\) | 4.22905 | + | 2.44165i | 0.196329 | + | 0.113351i | ||||
\(465\) | 1.12543 | − | 4.88373i | 0.0521905 | − | 0.226478i | ||||
\(466\) | 1.74259 | + | 3.01825i | 0.0807239 | + | 0.139818i | ||||
\(467\) | −9.65321 | − | 16.7199i | −0.446697 | − | 0.773703i | 0.551471 | − | 0.834194i | \(-0.314067\pi\) |
−0.998169 | + | 0.0604912i | \(0.980733\pi\) | |||||||
\(468\) | 10.7978 | − | 0.639100i | 0.499126 | − | 0.0295424i | ||||
\(469\) | −4.59535 | + | 17.7809i | −0.212193 | + | 0.821046i | ||||
\(470\) | −3.52567 | − | 2.03555i | −0.162627 | − | 0.0938929i | ||||
\(471\) | 15.3279 | + | 14.2820i | 0.706273 | + | 0.658079i | ||||
\(472\) | − | 11.2248i | − | 0.516665i | ||||||
\(473\) | −26.5021 | − | 15.3010i | −1.21857 | − | 0.703541i | ||||
\(474\) | −17.0465 | + | 5.21914i | −0.782972 | + | 0.239723i | ||||
\(475\) | 17.8109 | − | 10.2831i | 0.817222 | − | 0.471823i | ||||
\(476\) | −4.99696 | − | 4.90889i | −0.229035 | − | 0.224999i | ||||
\(477\) | 6.13353 | + | 9.07756i | 0.280835 | + | 0.415633i | ||||
\(478\) | −11.0001 | −0.503134 | ||||||||
\(479\) | 18.8035 | + | 32.5686i | 0.859152 | + | 1.48810i | 0.872739 | + | 0.488188i | \(0.162342\pi\) |
−0.0135862 | + | 0.999908i | \(0.504325\pi\) | |||||||
\(480\) | 1.28019 | − | 0.391956i | 0.0584324 | − | 0.0178903i | ||||
\(481\) | −14.3583 | + | 8.07110i | −0.654684 | + | 0.368010i | ||||
\(482\) | 2.31184 | 0.105302 | ||||||||
\(483\) | −20.8066 | + | 13.2718i | −0.946733 | + | 0.603889i | ||||
\(484\) | 1.84839 | − | 3.20151i | 0.0840179 | − | 0.145523i | ||||
\(485\) | 5.30983 | + | 3.06563i | 0.241107 | + | 0.139203i | ||||
\(486\) | −14.1147 | + | 6.61638i | −0.640254 | + | 0.300125i | ||||
\(487\) | −35.0418 | −1.58790 | −0.793948 | − | 0.607986i | \(-0.791978\pi\) | ||||
−0.793948 | + | 0.607986i | \(0.791978\pi\) | |||||||
\(488\) | −6.50875 | + | 11.2735i | −0.294637 | + | 0.510326i | ||||
\(489\) | −11.1518 | + | 11.9685i | −0.504301 | + | 0.541233i | ||||
\(490\) | −2.78834 | − | 4.63712i | −0.125964 | − | 0.209484i | ||||
\(491\) | 21.2054 | + | 12.2429i | 0.956985 | + | 0.552516i | 0.895244 | − | 0.445576i | \(-0.147001\pi\) |
0.0617415 | + | 0.998092i | \(0.480335\pi\) | |||||||
\(492\) | 11.5716 | − | 12.4191i | 0.521690 | − | 0.559895i | ||||
\(493\) | 11.1966 | + | 6.46439i | 0.504272 | + | 0.291141i | ||||
\(494\) | −0.193671 | + | 16.8423i | −0.00871368 | + | 0.757769i | ||||
\(495\) | −3.50856 | − | 5.19263i | −0.157698 | − | 0.233391i | ||||
\(496\) | −3.24180 | − | 1.87166i | −0.145561 | − | 0.0840399i | ||||
\(497\) | 28.7257 | + | 7.42394i | 1.28852 | + | 0.333009i | ||||
\(498\) | 6.36470 | − | 27.6192i | 0.285209 | − | 1.23765i | ||||
\(499\) | 9.94836 | + | 17.2311i | 0.445350 | + | 0.771368i | 0.998077 | − | 0.0619941i | \(-0.0197460\pi\) |
−0.552727 | + | 0.833363i | \(0.686413\pi\) | |||||||
\(500\) | 7.26798 | 0.325034 | ||||||||
\(501\) | 22.2658 | − | 23.8964i | 0.994761 | − | 1.06761i | ||||
\(502\) | −7.27107 | + | 4.19795i | −0.324524 | + | 0.187364i | ||||
\(503\) | −5.22211 | − | 9.04495i | −0.232842 | − | 0.403295i | 0.725801 | − | 0.687905i | \(-0.241469\pi\) |
−0.958643 | + | 0.284610i | \(0.908136\pi\) | |||||||
\(504\) | −7.47941 | + | 2.65676i | −0.333160 | + | 0.118341i | ||||
\(505\) | −3.92945 | + | 6.80601i | −0.174858 | + | 0.302863i | ||||
\(506\) | −12.6039 | + | 7.27689i | −0.560314 | + | 0.323497i | ||||
\(507\) | −15.7245 | + | 16.1165i | −0.698348 | + | 0.715759i | ||||
\(508\) | 3.63055 | − | 6.28830i | 0.161080 | − | 0.278998i | ||||
\(509\) | 1.49932 | 0.0664561 | 0.0332280 | − | 0.999448i | \(-0.489421\pi\) | ||||
0.0332280 | + | 0.999448i | \(0.489421\pi\) | |||||||
\(510\) | 3.38937 | − | 1.03773i | 0.150084 | − | 0.0459513i | ||||
\(511\) | 7.34903 | + | 26.4829i | 0.325102 | + | 1.17153i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −8.72633 | − | 22.6511i | −0.385277 | − | 1.00007i | ||||
\(514\) | 24.6420i | 1.08691i | ||||||||
\(515\) | −6.19610 | − | 3.57732i | −0.273033 | − | 0.157636i | ||||
\(516\) | −5.74196 | − | 18.7541i | −0.252776 | − | 0.825604i | ||||
\(517\) | 12.3262 | + | 7.11652i | 0.542105 | + | 0.312984i | ||||
\(518\) | 8.47023 | − | 8.62219i | 0.372161 | − | 0.378837i | ||||
\(519\) | 14.1904 | − | 15.2296i | 0.622888 | − | 0.668505i | ||||
\(520\) | −1.42118 | + | 2.39746i | −0.0623228 | + | 0.105136i | ||||
\(521\) | 9.88915 | − | 17.1285i | 0.433252 | − | 0.750414i | −0.563900 | − | 0.825843i | \(-0.690699\pi\) |
0.997151 | + | 0.0754296i | \(0.0240328\pi\) | |||||||
\(522\) | 12.1387 | − | 8.20188i | 0.531296 | − | 0.358986i | ||||
\(523\) | − | 13.1827i | − | 0.576438i | −0.957565 | − | 0.288219i | \(-0.906937\pi\) | ||
0.957565 | − | 0.288219i | \(-0.0930630\pi\) | |||||||
\(524\) | 5.48186 | + | 9.49487i | 0.239476 | + | 0.414785i | ||||
\(525\) | −20.1551 | + | 0.891424i | −0.879639 | + | 0.0389050i | ||||
\(526\) | 11.4049 | + | 19.7538i | 0.497275 | + | 0.861306i | ||||
\(527\) | −8.58285 | − | 4.95531i | −0.373875 | − | 0.215857i | ||||
\(528\) | −4.47570 | + | 1.37033i | −0.194780 | + | 0.0596358i | ||||
\(529\) | −6.00265 | −0.260985 | ||||||||
\(530\) | −2.82280 | −0.122615 | ||||||||
\(531\) | −30.2783 | − | 14.7376i | −1.31397 | − | 0.639556i | ||||
\(532\) | −3.30492 | − | 11.9096i | −0.143287 | − | 0.516346i | ||||
\(533\) | −0.406300 | + | 35.3331i | −0.0175988 | + | 1.53045i | ||||
\(534\) | −4.02548 | + | 17.4683i | −0.174200 | + | 0.755929i | ||||
\(535\) | −0.811125 | + | 0.468303i | −0.0350680 | + | 0.0202465i | ||||
\(536\) | −6.01140 | + | 3.47068i | −0.259653 | + | 0.149911i | ||||
\(537\) | 22.6829 | − | 6.94483i | 0.978838 | − | 0.299692i | ||||
\(538\) | 1.82889i | 0.0788492i | ||||||||
\(539\) | 9.74835 | + | 16.2119i | 0.419891 | + | 0.698298i | ||||
\(540\) | 0.623537 | − | 3.96785i | 0.0268328 | − | 0.170749i | ||||
\(541\) | 10.6958 | + | 18.5257i | 0.459848 | + | 0.796480i | 0.998953 | − | 0.0457586i | \(-0.0145705\pi\) |
−0.539104 | + | 0.842239i | \(0.681237\pi\) | |||||||
\(542\) | −7.29891 | −0.313515 | ||||||||
\(543\) | 5.07188 | − | 22.0091i | 0.217655 | − | 0.944502i | ||||
\(544\) | − | 2.64755i | − | 0.113513i | ||||||
\(545\) | 5.92170 | 0.253658 | ||||||||
\(546\) | 7.78910 | − | 14.5715i | 0.333343 | − | 0.623604i | ||||
\(547\) | −25.6199 | −1.09543 | −0.547713 | − | 0.836666i | \(-0.684501\pi\) | ||||
−0.547713 | + | 0.836666i | \(0.684501\pi\) | |||||||
\(548\) | 4.98739i | 0.213051i | ||||||||
\(549\) | 21.8639 | + | 32.3584i | 0.933129 | + | 1.38102i | ||||
\(550\) | −11.8975 | −0.507311 | ||||||||
\(551\) | 11.4062 | + | 19.7561i | 0.485919 | + | 0.841636i | ||||
\(552\) | −9.08958 | − | 2.09464i | −0.386878 | − | 0.0891539i | ||||
\(553\) | −6.81405 | + | 26.3658i | −0.289763 | + | 1.12119i | ||||
\(554\) | 16.9183i | 0.718789i | ||||||||
\(555\) | 1.79058 | + | 5.84832i | 0.0760060 | + | 0.248247i | ||||
\(556\) | −0.244965 | + | 0.141431i | −0.0103888 | + | 0.00599799i | ||||
\(557\) | −13.7049 | + | 7.91256i | −0.580697 | + | 0.335266i | −0.761410 | − | 0.648270i | \(-0.775493\pi\) |
0.180713 | + | 0.983536i | \(0.442159\pi\) | |||||||
\(558\) | −9.30498 | + | 6.28719i | −0.393911 | + | 0.266158i | ||||
\(559\) | 35.1216 | + | 20.8195i | 1.48548 | + | 0.880573i | ||||
\(560\) | 0.511734 | − | 1.98007i | 0.0216247 | − | 0.0836731i | ||||
\(561\) | −11.8496 | + | 3.62801i | −0.500292 | + | 0.153175i | ||||
\(562\) | 31.6214 | 1.33387 | ||||||||
\(563\) | −9.74601 | −0.410745 | −0.205373 | − | 0.978684i | \(-0.565841\pi\) | ||||
−0.205373 | + | 0.978684i | \(0.565841\pi\) | |||||||
\(564\) | 2.67059 | + | 8.72257i | 0.112452 | + | 0.367286i | ||||
\(565\) | −6.87339 | − | 3.96836i | −0.289166 | − | 0.166950i | ||||
\(566\) | −0.341066 | − | 0.590743i | −0.0143361 | − | 0.0248308i | ||||
\(567\) | −2.65361 | + | 23.6634i | −0.111441 | + | 0.993771i | ||||
\(568\) | 5.60701 | + | 9.71163i | 0.235265 | + | 0.407491i | ||||
\(569\) | 18.5832i | 0.779048i | 0.921016 | + | 0.389524i | \(0.127360\pi\) | ||||
−0.921016 | + | 0.389524i | \(0.872640\pi\) | |||||||
\(570\) | 6.09471 | + | 1.40449i | 0.255279 | + | 0.0588277i | ||||
\(571\) | −16.5767 | + | 28.7116i | −0.693712 | + | 1.20154i | 0.276901 | + | 0.960899i | \(0.410693\pi\) |
−0.970613 | + | 0.240646i | \(0.922641\pi\) | |||||||
\(572\) | 4.96861 | − | 8.38181i | 0.207748 | − | 0.350461i | ||||
\(573\) | −2.45888 | − | 2.29110i | −0.102721 | − | 0.0957119i | ||||
\(574\) | −6.93335 | − | 24.9849i | −0.289392 | − | 1.04285i | ||||
\(575\) | −20.5328 | − | 11.8546i | −0.856277 | − | 0.494372i | ||||
\(576\) | −2.69744 | − | 1.31294i | −0.112393 | − | 0.0547060i | ||||
\(577\) | −31.6525 | − | 18.2746i | −1.31771 | − | 0.760780i | −0.334350 | − | 0.942449i | \(-0.608517\pi\) |
−0.983360 | + | 0.181668i | \(0.941850\pi\) | |||||||
\(578\) | 9.99046i | 0.415548i | ||||||||
\(579\) | 5.09379 | + | 16.6371i | 0.211691 | + | 0.691414i | ||||
\(580\) | 3.77471i | 0.156736i | ||||||||
\(581\) | −30.8850 | − | 30.3407i | −1.28133 | − | 1.25874i | ||||
\(582\) | −4.02204 | − | 13.1366i | −0.166719 | − | 0.544529i | ||||
\(583\) | 9.86886 | 0.408726 | ||||||||
\(584\) | −5.19392 | + | 8.99614i | −0.214926 | + | 0.372263i | ||||
\(585\) | 4.60108 | + | 6.98127i | 0.190231 | + | 0.288640i | ||||
\(586\) | −6.75511 | + | 3.90007i | −0.279051 | + | 0.161110i | ||||
\(587\) | 17.2008 | − | 29.7927i | 0.709953 | − | 1.22967i | −0.254921 | − | 0.966962i | \(-0.582049\pi\) |
0.964874 | − | 0.262713i | \(-0.0846172\pi\) | |||||||
\(588\) | −2.51214 | + | 11.8612i | −0.103599 | + | 0.489150i | ||||
\(589\) | −8.74346 | − | 15.1441i | −0.360268 | − | 0.624002i | ||||
\(590\) | 7.51418 | − | 4.33831i | 0.309354 | − | 0.178605i | ||||
\(591\) | 3.74021 | + | 3.48499i | 0.153852 | + | 0.143353i | ||||
\(592\) | 4.56832 | 0.187757 | ||||||||
\(593\) | −1.21051 | − | 2.09667i | −0.0497099 | − | 0.0861000i | 0.840100 | − | 0.542432i | \(-0.182496\pi\) |
−0.889810 | + | 0.456332i | \(0.849163\pi\) | |||||||
\(594\) | −2.17996 | + | 13.8721i | −0.0894448 | + | 0.569178i | ||||
\(595\) | 1.35484 | − | 5.24233i | 0.0555431 | − | 0.214915i | ||||
\(596\) | 0.346111 | + | 0.199827i | 0.0141773 | + | 0.00818525i | ||||
\(597\) | 1.08918 | − | 4.72645i | 0.0445773 | − | 0.193441i | ||||
\(598\) | 16.9265 | − | 9.51469i | 0.692174 | − | 0.389085i | ||||
\(599\) | −29.8409 | − | 17.2287i | −1.21927 | − | 0.703944i | −0.254506 | − | 0.967071i | \(-0.581913\pi\) |
−0.964761 | + | 0.263127i | \(0.915246\pi\) | |||||||
\(600\) | −5.57892 | − | 5.19823i | −0.227758 | − | 0.212217i | ||||
\(601\) | −14.8253 | − | 8.55938i | −0.604736 | − | 0.349145i | 0.166166 | − | 0.986098i | \(-0.446861\pi\) |
−0.770903 | + | 0.636953i | \(0.780194\pi\) | |||||||
\(602\) | −29.0070 | − | 7.49664i | −1.18224 | − | 0.305540i | ||||
\(603\) | 1.46933 | + | 20.7722i | 0.0598358 | + | 0.845909i | ||||
\(604\) | −3.60132 | + | 6.23766i | −0.146536 | + | 0.253807i | ||||
\(605\) | 2.85756 | 0.116176 | ||||||||
\(606\) | 16.8382 | − | 5.15535i | 0.684003 | − | 0.209422i | ||||
\(607\) | 12.7249 | + | 7.34672i | 0.516488 | + | 0.298194i | 0.735496 | − | 0.677529i | \(-0.236949\pi\) |
−0.219009 | + | 0.975723i | \(0.570282\pi\) | |||||||
\(608\) | 2.33575 | − | 4.04565i | 0.0947273 | − | 0.164073i | ||||
\(609\) | −0.988777 | − | 22.3562i | −0.0400673 | − | 0.905919i | ||||
\(610\) | −10.0623 | −0.407411 | ||||||||
\(611\) | −16.3351 | − | 9.68319i | −0.660847 | − | 0.391740i | ||||
\(612\) | −7.14162 | − | 3.47609i | −0.288683 | − | 0.140512i | ||||
\(613\) | −14.8270 | − | 25.6811i | −0.598857 | − | 1.03725i | −0.992990 | − | 0.118198i | \(-0.962288\pi\) |
0.394133 | − | 0.919053i | \(-0.371045\pi\) | |||||||
\(614\) | −1.62307 | −0.0655018 | ||||||||
\(615\) | 12.7860 | + | 2.94646i | 0.515581 | + | 0.118813i | ||||
\(616\) | −1.78908 | + | 6.92255i | −0.0720842 | + | 0.278917i | ||||
\(617\) | 15.2938 | − | 8.82986i | 0.615704 | − | 0.355477i | −0.159491 | − | 0.987199i | \(-0.550985\pi\) |
0.775195 | + | 0.631723i | \(0.217652\pi\) | |||||||
\(618\) | 4.69336 | + | 15.3292i | 0.188795 | + | 0.616632i | ||||
\(619\) | −21.5803 | − | 12.4594i | −0.867387 | − | 0.500786i | −0.000907672 | − | 1.00000i | \(-0.500289\pi\) |
−0.866479 | + | 0.499214i | \(0.833622\pi\) | |||||||
\(620\) | − | 2.89352i | − | 0.116207i | ||||||
\(621\) | −17.5843 | + | 21.7684i | −0.705632 | + | 0.873537i | ||||
\(622\) | −26.3252 | − | 15.1988i | −1.05554 | − | 0.609418i | ||||
\(623\) | 19.5339 | + | 19.1896i | 0.782607 | + | 0.768814i | ||||
\(624\) | 5.99201 | − | 1.75948i | 0.239873 | − | 0.0704356i | ||||
\(625\) | −8.19722 | − | 14.1980i | −0.327889 | − | 0.567920i | ||||
\(626\) | −2.48256 | − | 4.29992i | −0.0992231 | − | 0.171859i | ||||
\(627\) | −21.3078 | − | 4.91027i | −0.850952 | − | 0.196097i | ||||
\(628\) | 10.4752 | + | 6.04786i | 0.418006 | + | 0.241336i | ||||
\(629\) | 12.0949 | 0.482254 | ||||||||
\(630\) | −4.66923 | − | 3.98009i | −0.186027 | − | 0.158570i | ||||
\(631\) | 4.25946 | + | 7.37761i | 0.169567 | + | 0.293698i | 0.938268 | − | 0.345910i | \(-0.112430\pi\) |
−0.768701 | + | 0.639608i | \(0.779097\pi\) | |||||||
\(632\) | −8.91380 | + | 5.14638i | −0.354572 | + | 0.204712i | ||||
\(633\) | 15.5231 | − | 16.6599i | 0.616986 | − | 0.662171i | ||||
\(634\) | −6.69094 | − | 11.5891i | −0.265731 | − | 0.460260i | ||||
\(635\) | 5.61272 | 0.222734 | ||||||||
\(636\) | 4.62765 | + | 4.31188i | 0.183498 | + | 0.170977i | ||||
\(637\) | −12.7565 | − | 21.7778i | −0.505431 | − | 0.862867i | ||||
\(638\) | − | 13.1968i | − | 0.522467i | ||||||
\(639\) | 33.5582 | − | 2.37376i | 1.32754 | − | 0.0939044i | ||||
\(640\) | 0.669424 | − | 0.386492i | 0.0264613 | − | 0.0152774i | ||||
\(641\) | − | 20.4369i | − | 0.807211i | −0.914933 | − | 0.403605i | \(-0.867757\pi\) | ||
0.914933 | − | 0.403605i | \(-0.132243\pi\) | |||||||
\(642\) | 2.04508 | + | 0.471278i | 0.0807131 | + | 0.0185999i | ||||
\(643\) | 28.2804 | − | 16.3277i | 1.11527 | − | 0.643902i | 0.175082 | − | 0.984554i | \(-0.443981\pi\) |
0.940190 | + | 0.340652i | \(0.110648\pi\) | |||||||
\(644\) | −9.98521 | + | 10.1644i | −0.393472 | + | 0.400532i | ||||
\(645\) | 10.3352 | − | 11.0921i | 0.406950 | − | 0.436752i | ||||
\(646\) | 6.18403 | − | 10.7111i | 0.243308 | − | 0.421421i | ||||
\(647\) | −1.63150 | − | 2.82584i | −0.0641410 | − | 0.111095i | 0.832172 | − | 0.554518i | \(-0.187097\pi\) |
−0.896313 | + | 0.443423i | \(0.853764\pi\) | |||||||
\(648\) | −7.08317 | + | 5.55236i | −0.278253 | + | 0.218117i | ||||
\(649\) | −26.2705 | + | 15.1673i | −1.03121 | + | 0.595367i | ||||
\(650\) | 15.8724 | + | 0.182518i | 0.622566 | + | 0.00715896i | ||||
\(651\) | 0.757952 | + | 17.1373i | 0.0297065 | + | 0.671662i | ||||
\(652\) | −4.72234 | + | 8.17934i | −0.184941 | + | 0.320328i | ||||
\(653\) | 27.2298i | 1.06558i | 0.846246 | + | 0.532792i | \(0.178857\pi\) | ||||
−0.846246 | + | 0.532792i | \(0.821143\pi\) | |||||||
\(654\) | −9.70792 | − | 9.04548i | −0.379610 | − | 0.353706i | ||||
\(655\) | −4.23739 | + | 7.33938i | −0.165569 | + | 0.286773i | ||||
\(656\) | 4.90014 | − | 8.48729i | 0.191318 | − | 0.331373i | ||||
\(657\) | 17.4472 | + | 25.8217i | 0.680680 | + | 1.00740i | ||||
\(658\) | 13.4912 | + | 3.48670i | 0.525941 | + | 0.135926i | ||||
\(659\) | −40.7276 | + | 23.5141i | −1.58652 | + | 0.915980i | −0.592650 | + | 0.805460i | \(0.701918\pi\) |
−0.993874 | + | 0.110520i | \(0.964748\pi\) | |||||||
\(660\) | −2.64715 | − | 2.46652i | −0.103040 | − | 0.0960091i | ||||
\(661\) | −3.51184 | + | 2.02756i | −0.136595 | + | 0.0788630i | −0.566740 | − | 0.823897i | \(-0.691796\pi\) |
0.430145 | + | 0.902760i | \(0.358462\pi\) | |||||||
\(662\) | −25.5607 | − | 14.7575i | −0.993445 | − | 0.573566i | ||||
\(663\) | 15.8642 | − | 4.65832i | 0.616114 | − | 0.180914i | ||||
\(664\) | − | 16.3639i | − | 0.635043i | ||||||
\(665\) | 6.69524 | − | 6.81536i | 0.259630 | − | 0.264288i | ||||
\(666\) | 5.99795 | − | 12.3228i | 0.232416 | − | 0.477498i | ||||
\(667\) | 13.1493 | − | 22.7752i | 0.509141 | − | 0.881859i | ||||
\(668\) | 9.42868 | − | 16.3310i | 0.364807 | − | 0.631864i | ||||
\(669\) | 3.40968 | + | 3.17701i | 0.131826 | + | 0.122830i | ||||
\(670\) | −4.64672 | − | 2.68278i | −0.179518 | − | 0.103645i | ||||
\(671\) | 35.1791 | 1.35807 | ||||||||
\(672\) | −3.86351 | + | 2.46440i | −0.149038 | + | 0.0950665i | ||||
\(673\) | 20.5401 | − | 35.5765i | 0.791763 | − | 1.37137i | −0.133111 | − | 0.991101i | \(-0.542497\pi\) |
0.924874 | − | 0.380273i | \(-0.124170\pi\) | |||||||
\(674\) | 30.1118i | 1.15986i | ||||||||
\(675\) | −21.3467 | + | 8.22381i | −0.821635 | + | 0.316535i | ||||
\(676\) | −6.75717 | + | 11.1059i | −0.259891 | + | 0.427149i | ||||
\(677\) | 0.255669 | + | 0.442832i | 0.00982616 | + | 0.0170194i | 0.870897 | − | 0.491466i | \(-0.163539\pi\) |
−0.861071 | + | 0.508486i | \(0.830206\pi\) | |||||||
\(678\) | 5.20639 | + | 17.0049i | 0.199950 | + | 0.653068i | ||||
\(679\) | −20.3183 | − | 5.25112i | −0.779746 | − | 0.201520i | ||||
\(680\) | 1.77234 | − | 1.02326i | 0.0679660 | − | 0.0392402i | ||||
\(681\) | 8.91210 | + | 2.05374i | 0.341512 | + | 0.0786996i | ||||
\(682\) | 10.1161i | 0.387366i | ||||||||
\(683\) | − | 17.4362i | − | 0.667179i | −0.942718 | − | 0.333589i | \(-0.891740\pi\) | ||
0.942718 | − | 0.333589i | \(-0.108260\pi\) | |||||||
\(684\) | −7.84617 | − | 11.6123i | −0.300006 | − | 0.444006i | ||||
\(685\) | −3.33868 | + | 1.92759i | −0.127564 | + | 0.0736493i | ||||
\(686\) | 13.4404 | + | 12.7419i | 0.513156 | + | 0.486488i | ||||
\(687\) | −43.8183 | + | 13.4159i | −1.67177 | + | 0.511848i | ||||
\(688\) | −5.66191 | − | 9.80672i | −0.215858 | − | 0.373878i | ||||
\(689\) | −13.1660 | − | 0.151397i | −0.501583 | − | 0.00576777i | ||||
\(690\) | −2.11085 | − | 6.89435i | −0.0803586 | − | 0.262463i | ||||
\(691\) | 9.05150i | 0.344335i | 0.985068 | + | 0.172168i | \(0.0550771\pi\) | ||||
−0.985068 | + | 0.172168i | \(0.944923\pi\) | |||||||
\(692\) | 6.00907 | − | 10.4080i | 0.228431 | − | 0.395653i | ||||
\(693\) | 16.3242 | + | 13.9149i | 0.620105 | + | 0.528582i | ||||
\(694\) | 13.4578 | 0.510852 | ||||||||
\(695\) | −0.189354 | − | 0.109324i | −0.00718261 | − | 0.00414688i | ||||
\(696\) | 5.76593 | − | 6.18819i | 0.218557 | − | 0.234563i | ||||
\(697\) | 12.9734 | − | 22.4706i | 0.491402 | − | 0.851133i | ||||
\(698\) | 5.17619 | − | 8.96543i | 0.195922 | − | 0.339346i | ||||
\(699\) | 5.77203 | − | 1.76723i | 0.218318 | − | 0.0668427i | ||||
\(700\) | −11.2238 | + | 3.11461i | −0.424219 | + | 0.117721i | ||||
\(701\) | 0.299896i | 0.0113269i | 0.999984 | + | 0.00566346i | \(0.00180274\pi\) | ||||
−0.999984 | + | 0.00566346i | \(0.998197\pi\) | |||||||
\(702\) | 3.12108 | − | 18.4732i | 0.117797 | − | 0.697226i | ||||
\(703\) | 18.4818 | + | 10.6705i | 0.697055 | + | 0.402445i | ||||
\(704\) | −2.34039 | + | 1.35122i | −0.0882066 | + | 0.0509261i | ||||
\(705\) | −4.80693 | + | 5.15896i | −0.181040 | + | 0.194298i | ||||
\(706\) | 25.8963 | − | 14.9512i | 0.974621 | − | 0.562698i | ||||
\(707\) | 6.73076 | − | 26.0435i | 0.253136 | − | 0.979468i | ||||
\(708\) | −18.9455 | − | 4.36587i | −0.712014 | − | 0.164080i | ||||
\(709\) | 17.7350 | − | 30.7179i | 0.666052 | − | 1.15364i | −0.312946 | − | 0.949771i | \(-0.601316\pi\) |
0.978999 | − | 0.203866i | \(-0.0653507\pi\) | |||||||
\(710\) | −4.33413 | + | 7.50694i | −0.162657 | + | 0.281730i | ||||
\(711\) | 2.17875 | + | 30.8013i | 0.0817095 | + | 1.15514i | ||||
\(712\) | 10.3497i | 0.387871i | ||||||||
\(713\) | −10.0796 | + | 17.4584i | −0.377485 | + | 0.653824i | ||||
\(714\) | −10.2288 | + | 6.52464i | −0.382805 | + | 0.244179i | ||||
\(715\) | 7.53131 | + | 0.0866035i | 0.281655 | + | 0.00323879i | ||||
\(716\) | 11.8611 | − | 6.84801i | 0.443270 | − | 0.255922i | ||||
\(717\) | −4.27847 | + | 18.5662i | −0.159782 | + | 0.693366i | ||||
\(718\) | 2.97641 | + | 5.15529i | 0.111079 | + | 0.192394i | ||||
\(719\) | 22.6978 | − | 39.3138i | 0.846487 | − | 1.46616i | −0.0378368 | − | 0.999284i | \(-0.512047\pi\) |
0.884324 | − | 0.466874i | \(-0.154620\pi\) | |||||||
\(720\) | −0.163624 | − | 2.31317i | −0.00609789 | − | 0.0862069i | ||||
\(721\) | 23.7097 | + | 6.12760i | 0.882996 | + | 0.228204i | ||||
\(722\) | 2.44478 | − | 1.41150i | 0.0909854 | − | 0.0525305i | ||||
\(723\) | 0.899185 | − | 3.90196i | 0.0334411 | − | 0.145116i | ||||
\(724\) | − | 13.0400i | − | 0.484628i | ||||||
\(725\) | 18.6184 | − | 10.7493i | 0.691470 | − | 0.399220i | ||||
\(726\) | −4.68463 | − | 4.36497i | −0.173863 | − | 0.161999i | ||||
\(727\) | 11.4955i | 0.426346i | 0.977014 | + | 0.213173i | \(0.0683798\pi\) | ||||
−0.977014 | + | 0.213173i | \(0.931620\pi\) | |||||||
\(728\) | 2.49300 | − | 9.20787i | 0.0923967 | − | 0.341267i | ||||
\(729\) | 5.67736 | + | 26.3964i | 0.210273 | + | 0.977643i | ||||
\(730\) | −8.02964 | −0.297190 | ||||||||
\(731\) | −14.9902 | − | 25.9638i | −0.554433 | − | 0.960307i | ||||
\(732\) | 16.4960 | + | 15.3704i | 0.609709 | + | 0.568104i | ||||
\(733\) | 3.91444 | − | 2.26000i | 0.144583 | − | 0.0834751i | −0.425963 | − | 0.904740i | \(-0.640065\pi\) |
0.570546 | + | 0.821265i | \(0.306731\pi\) | |||||||
\(734\) | 8.53079 | + | 14.7758i | 0.314877 | + | 0.545383i | ||||
\(735\) | −8.91113 | + | 2.90260i | −0.328692 | + | 0.107064i | ||||
\(736\) | −5.38541 | −0.198509 | ||||||||
\(737\) | 16.2455 | + | 9.37933i | 0.598410 | + | 0.345492i | ||||
\(738\) | −16.4604 | − | 24.3612i | −0.605914 | − | 0.896747i | ||||
\(739\) | −3.98629 | − | 6.90445i | −0.146638 | − | 0.253984i | 0.783345 | − | 0.621587i | \(-0.213512\pi\) |
−0.929983 | + | 0.367603i | \(0.880179\pi\) | |||||||
\(740\) | 1.76562 | + | 3.05815i | 0.0649055 | + | 0.112420i | ||||
\(741\) | 28.3513 | + | 6.87763i | 1.04151 | + | 0.252656i | ||||
\(742\) | 9.31000 | − | 2.58353i | 0.341781 | − | 0.0948445i | ||||
\(743\) | −18.4735 | − | 10.6657i | −0.677726 | − | 0.391285i | 0.121272 | − | 0.992619i | \(-0.461303\pi\) |
−0.798998 | + | 0.601334i | \(0.794636\pi\) | |||||||
\(744\) | −4.41990 | + | 4.74359i | −0.162041 | + | 0.173908i | ||||
\(745\) | 0.308927i | 0.0113182i | ||||||||
\(746\) | 20.4954 | + | 11.8330i | 0.750388 | + | 0.433237i | ||||
\(747\) | −44.1406 | − | 21.4849i | −1.61502 | − | 0.786090i | ||||
\(748\) | −6.19630 | + | 3.57744i | −0.226559 | + | 0.130804i | ||||
\(749\) | 2.24660 | − | 2.28690i | 0.0820888 | − | 0.0835616i | ||||
\(750\) | 2.82686 | − | 12.2670i | 0.103222 | − | 0.447928i | ||||
\(751\) | −37.6651 | −1.37442 | −0.687209 | − | 0.726460i | \(-0.741164\pi\) | ||||
−0.687209 | + | 0.726460i | \(0.741164\pi\) | |||||||
\(752\) | 2.63336 | + | 4.56112i | 0.0960289 | + | 0.166327i | ||||
\(753\) | 4.25731 | + | 13.9050i | 0.155145 | + | 0.506727i | ||||
\(754\) | −0.202451 | + | 17.6058i | −0.00737284 | + | 0.641165i | ||||
\(755\) | −5.56752 | −0.202623 | ||||||||
\(756\) | 1.57501 | + | 13.6572i | 0.0572827 | + | 0.496708i | ||||
\(757\) | −16.7324 | + | 28.9814i | −0.608150 | + | 1.05335i | 0.383395 | + | 0.923584i | \(0.374755\pi\) |
−0.991545 | + | 0.129762i | \(0.958579\pi\) | |||||||
\(758\) | −23.0303 | − | 13.2966i | −0.836498 | − | 0.482953i | ||||
\(759\) | 7.37977 | + | 24.1035i | 0.267869 | + | 0.874900i | ||||
\(760\) | 3.61100 | 0.130985 | ||||||||
\(761\) | 5.12883 | − | 8.88340i | 0.185920 | − | 0.322023i | −0.757966 | − | 0.652294i | \(-0.773807\pi\) |
0.943886 | + | 0.330271i | \(0.107140\pi\) | |||||||
\(762\) | −9.20139 | − | 8.57352i | −0.333331 | − | 0.310586i | ||||
\(763\) | −19.5306 | + | 5.41976i | −0.707054 | + | 0.196208i | ||||
\(764\) | −1.68042 | − | 0.970190i | −0.0607954 | − | 0.0351002i | ||||
\(765\) | −0.433202 | − | 6.12425i | −0.0156625 | − | 0.221423i | ||||
\(766\) | −13.5406 | − | 7.81768i | −0.489242 | − | 0.282464i | ||||
\(767\) | 35.2799 | − | 19.8315i | 1.27388 | − | 0.716074i | ||||
\(768\) | −1.68782 | − | 0.388948i | −0.0609038 | − | 0.0140349i | ||||
\(769\) | −23.6054 | − | 13.6286i | −0.851232 | − | 0.491459i | 0.00983428 | − | 0.999952i | \(-0.496870\pi\) |
−0.861066 | + | 0.508493i | \(0.830203\pi\) | |||||||
\(770\) | −5.32559 | + | 1.47786i | −0.191921 | + | 0.0532582i | ||||
\(771\) | 41.5912 | + | 9.58446i | 1.49787 | + | 0.345176i | ||||
\(772\) | 5.02278 | + | 8.69971i | 0.180774 | + | 0.313109i | ||||
\(773\) | 39.5055 | 1.42091 | 0.710457 | − | 0.703741i | \(-0.248488\pi\) | ||||
0.710457 | + | 0.703741i | \(0.248488\pi\) | |||||||
\(774\) | −33.8868 | + | 2.39700i | −1.21804 | + | 0.0861585i | ||||
\(775\) | −14.2720 | + | 8.23996i | −0.512666 | + | 0.295988i | ||||
\(776\) | −3.96597 | − | 6.86925i | −0.142370 | − | 0.246592i | ||||
\(777\) | −11.2582 | − | 17.6498i | −0.403885 | − | 0.633182i | ||||
\(778\) | 2.68276 | − | 4.64668i | 0.0961817 | − | 0.166592i | ||||
\(779\) | 39.6485 | − | 22.8910i | 1.42055 | − | 0.820157i | ||||
\(780\) | 3.49371 | + | 3.33117i | 0.125095 | + | 0.119275i | ||||
\(781\) | 15.1526 | − | 26.2451i | 0.542204 | − | 0.939125i | ||||
\(782\) | −14.2582 | −0.509871 | ||||||||
\(783\) | −9.12193 | − | 23.6780i | −0.325991 | − | 0.846182i | ||||
\(784\) | 0.124461 | + | 6.99889i | 0.00444504 | + | 0.249960i | ||||
\(785\) | 9.34981i | 0.333709i | ||||||||
\(786\) | 18.1577 | − | 5.55937i | 0.647665 | − | 0.198296i | ||||
\(787\) | − | 26.2020i | − | 0.934002i | −0.884257 | − | 0.467001i | \(-0.845334\pi\) | ||
0.884257 | − | 0.467001i | \(-0.154666\pi\) | |||||||
\(788\) | 2.55609 | + | 1.47576i | 0.0910568 | + | 0.0525717i | ||||
\(789\) | 37.7766 | − | 11.5661i | 1.34488 | − | 0.411764i | ||||
\(790\) | −6.89023 | − | 3.97807i | −0.245143 | − | 0.141534i | ||||
\(791\) | 26.3014 | + | 6.79741i | 0.935170 | + | 0.241688i | ||||
\(792\) | 0.572048 | + | 8.08713i | 0.0203268 | + | 0.287364i | ||||
\(793\) | −46.9321 | − | 0.539678i | −1.66661 | − | 0.0191645i | ||||
\(794\) | 2.90825 | − | 5.03723i | 0.103210 | − | 0.178765i | ||||
\(795\) | −1.09792 | + | 4.76437i | −0.0389393 | + | 0.168975i | ||||
\(796\) | − | 2.80034i | − | 0.0992553i | ||||||
\(797\) | 19.9610 | + | 34.5734i | 0.707054 | + | 1.22465i | 0.965945 | + | 0.258747i | \(0.0833096\pi\) |
−0.258891 | + | 0.965906i | \(0.583357\pi\) | |||||||
\(798\) | −21.3866 | + | 0.945895i | −0.757079 | + | 0.0334843i | ||||
\(799\) | 6.97197 | + | 12.0758i | 0.246651 | + | 0.427211i | ||||
\(800\) | −3.81267 | − | 2.20125i | −0.134798 | − | 0.0778259i | ||||
\(801\) | 27.9176 | + | 13.5885i | 0.986421 | + | 0.480127i | ||||
\(802\) | 8.68621 | 0.306721 | ||||||||
\(803\) | 28.0726 | 0.990660 | ||||||||
\(804\) | 3.51975 | + | 11.4960i | 0.124132 | + | 0.405434i | ||||
\(805\) | −10.6635 | − | 2.75590i | −0.375838 | − | 0.0971326i | ||||
\(806\) | 0.155190 | − | 13.4958i | 0.00546634 | − | 0.475370i | ||||
\(807\) | 3.08683 | + | 0.711343i | 0.108662 | + | 0.0250405i | ||||
\(808\) | 8.80484 | − | 5.08348i | 0.309753 | − | 0.178836i | ||||
\(809\) | 47.7092 | − | 27.5449i | 1.67736 | − | 0.968427i | 0.714034 | − | 0.700111i | \(-0.246866\pi\) |
0.963331 | − | 0.268316i | \(-0.0864672\pi\) | |||||||
\(810\) | −6.45447 | − | 2.59570i | −0.226787 | − | 0.0912036i | ||||
\(811\) | − | 7.30412i | − | 0.256482i | −0.991743 | − | 0.128241i | \(-0.959067\pi\) | ||
0.991743 | − | 0.128241i | \(-0.0409331\pi\) | |||||||
\(812\) | −3.45475 | − | 12.4495i | −0.121238 | − | 0.436892i | ||||
\(813\) | −2.83889 | + | 12.3192i | −0.0995643 | + | 0.432054i | ||||
\(814\) | −6.17282 | − | 10.6916i | −0.216357 | − | 0.374742i | ||||
\(815\) | −7.30060 | −0.255729 | ||||||||
\(816\) | −4.46858 | − | 1.02976i | −0.156432 | − | 0.0360488i | ||||
\(817\) | − | 52.8994i | − | 1.85071i | ||||||
\(818\) | 10.0665 | 0.351968 | ||||||||
\(819\) | −21.5645 | − | 18.8141i | −0.753525 | − | 0.657419i | ||||
\(820\) | 7.57546 | 0.264547 | ||||||||
\(821\) | − | 29.3769i | − | 1.02526i | −0.858610 | − | 0.512630i | \(-0.828671\pi\) | ||
0.858610 | − | 0.512630i | \(-0.171329\pi\) | |||||||
\(822\) | 8.41779 | + | 1.93983i | 0.293604 | + | 0.0676595i | ||||
\(823\) | −12.2245 | −0.426120 | −0.213060 | − | 0.977039i | \(-0.568343\pi\) | ||||
−0.213060 | + | 0.977039i | \(0.568343\pi\) | |||||||
\(824\) | 4.62793 | + | 8.01582i | 0.161222 | + | 0.279244i | ||||
\(825\) | −4.62751 | + | 20.0808i | −0.161109 | + | 0.699123i | ||||
\(826\) | −20.8122 | + | 21.1856i | −0.724150 | + | 0.737142i | ||||
\(827\) | 30.9380i | 1.07582i | 0.843003 | + | 0.537910i | \(0.180786\pi\) | ||||
−0.843003 | + | 0.537910i | \(0.819214\pi\) | |||||||
\(828\) | −7.07074 | + | 14.5268i | −0.245725 | + | 0.504842i | ||||
\(829\) | 42.5213 | − | 24.5497i | 1.47682 | − | 0.852645i | 0.477167 | − | 0.878812i | \(-0.341664\pi\) |
0.999658 | + | 0.0261672i | \(0.00833022\pi\) | |||||||
\(830\) | 10.9544 | − | 6.32452i | 0.380232 | − | 0.219527i | ||||
\(831\) | 28.5549 | + | 6.58032i | 0.990559 | + | 0.228269i | ||||
\(832\) | 3.14302 | − | 1.76675i | 0.108965 | − | 0.0612511i | ||||
\(833\) | 0.329518 | + | 18.5299i | 0.0114171 | + | 0.642025i | ||||
\(834\) | 0.143430 | + | 0.468465i | 0.00496658 | + | 0.0162216i | ||||
\(835\) | 14.5765 | 0.504439 | ||||||||
\(836\) | −12.6245 | −0.436627 | ||||||||
\(837\) | 6.99247 | + | 18.1505i | 0.241695 | + | 0.627372i | ||||
\(838\) | 11.9228 | + | 6.88362i | 0.411866 | + | 0.237791i | ||||
\(839\) | −8.62928 | − | 14.9464i | −0.297916 | − | 0.516005i | 0.677743 | − | 0.735299i | \(-0.262958\pi\) |
−0.975659 | + | 0.219293i | \(0.929625\pi\) | |||||||
\(840\) | −3.14295 | − | 1.63385i | −0.108442 | − | 0.0563733i | ||||
\(841\) | −2.57674 | − | 4.46304i | −0.0888530 | − | 0.153898i | ||||
\(842\) | − | 5.26092i | − | 0.181303i | ||||||
\(843\) | 12.2991 | − | 53.3710i | 0.423602 | − | 1.83820i | ||||
\(844\) | 6.57341 | − | 11.3855i | 0.226266 | − | 0.391904i | ||||
\(845\) | −10.0461 | − | 0.231074i | −0.345598 | − | 0.00794919i | ||||
\(846\) | 15.7608 | − | 1.11485i | 0.541868 | − | 0.0383293i | ||||
\(847\) | −9.42463 | + | 2.61534i | −0.323834 | + | 0.0898643i | ||||
\(848\) | 3.16257 | + | 1.82591i | 0.108603 | + | 0.0627021i | ||||
\(849\) | −1.12972 | + | 0.345888i | −0.0387720 | + | 0.0118708i | ||||
\(850\) | −10.0943 | − | 5.82792i | −0.346230 | − | 0.199896i | ||||
\(851\) | − | 24.6023i | − | 0.843356i | ||||||
\(852\) | 18.5723 | − | 5.68628i | 0.636275 | − | 0.194809i | ||||
\(853\) | − | 1.10853i | − | 0.0379553i | −0.999820 | − | 0.0189776i | \(-0.993959\pi\) | ||
0.999820 | − | 0.0189776i | \(-0.00604113\pi\) | |||||||
\(854\) | 33.1869 | − | 9.20941i | 1.13563 | − | 0.315139i | ||||
\(855\) | 4.74104 | − | 9.74046i | 0.162140 | − | 0.333117i | ||||
\(856\) | 1.21168 | 0.0414142 | ||||||||
\(857\) | 17.4478 | − | 30.2204i | 0.596005 | − | 1.03231i | −0.397399 | − | 0.917646i | \(-0.630087\pi\) |
0.993404 | − | 0.114665i | \(-0.0365794\pi\) | |||||||
\(858\) | −12.2144 | − | 11.6462i | −0.416993 | − | 0.397594i | ||||
\(859\) | −17.5635 | + | 10.1403i | −0.599259 | + | 0.345982i | −0.768750 | − | 0.639550i | \(-0.779121\pi\) |
0.169491 | + | 0.985532i | \(0.445788\pi\) | |||||||
\(860\) | 4.37657 | − | 7.58044i | 0.149240 | − | 0.258491i | ||||
\(861\) | −44.8667 | + | 1.98438i | −1.52905 | + | 0.0676274i | ||||
\(862\) | 11.0492 | + | 19.1377i | 0.376336 | + | 0.651833i | ||||
\(863\) | 36.5693 | − | 21.1133i | 1.24484 | − | 0.718706i | 0.274760 | − | 0.961513i | \(-0.411401\pi\) |
0.970075 | + | 0.242807i | \(0.0780681\pi\) | |||||||
\(864\) | −3.26517 | + | 4.04211i | −0.111083 | + | 0.137515i | ||||
\(865\) | 9.28983 | 0.315864 | ||||||||
\(866\) | 0.403262 | + | 0.698470i | 0.0137034 | + | 0.0237350i | ||||
\(867\) | 16.8621 | + | 3.88577i | 0.572665 | + | 0.131968i | ||||
\(868\) | 2.64826 | + | 9.54324i | 0.0898878 | + | 0.323919i | ||||
\(869\) | 24.0891 | + | 13.9078i | 0.817165 | + | 0.471791i | ||||
\(870\) | 6.37101 | + | 1.46816i | 0.215997 | + | 0.0497754i | ||||
\(871\) | −21.5291 | − | 12.7621i | −0.729485 | − | 0.432428i | ||||
\(872\) | −6.63447 | − | 3.83041i | −0.224671 | − | 0.129714i | ||||
\(873\) | −23.7365 | + | 1.67901i | −0.803358 | + | 0.0568260i | ||||
\(874\) | −21.7875 | − | 12.5790i | −0.736972 | − | 0.425491i | ||||
\(875\) | −13.7175 | − | 13.4757i | −0.463736 | − | 0.455563i | ||||
\(876\) | 13.1637 | + | 12.2654i | 0.444759 | + | 0.414410i | ||||
\(877\) | −9.82427 | + | 17.0161i | −0.331742 | + | 0.574594i | −0.982853 | − | 0.184388i | \(-0.940970\pi\) |
0.651112 | + | 0.758982i | \(0.274303\pi\) | |||||||
\(878\) | 22.1127 | 0.746268 | ||||||||
\(879\) | 3.95521 | + | 12.9183i | 0.133406 | + | 0.435724i | ||||
\(880\) | −1.80908 | − | 1.04447i | −0.0609842 | − | 0.0352092i | ||||
\(881\) | −3.68778 | + | 6.38743i | −0.124245 | + | 0.215198i | −0.921437 | − | 0.388527i | \(-0.872984\pi\) |
0.797193 | + | 0.603725i | \(0.206317\pi\) | |||||||
\(882\) | 19.0425 | + | 8.85342i | 0.641194 | + | 0.298110i | ||||
\(883\) | 40.9675 | 1.37867 | 0.689333 | − | 0.724445i | \(-0.257904\pi\) | ||||
0.689333 | + | 0.724445i | \(0.257904\pi\) | |||||||
\(884\) | 8.32132 | − | 4.67757i | 0.279876 | − | 0.157324i | ||||
\(885\) | −4.39965 | − | 14.3699i | −0.147893 | − | 0.483040i | ||||
\(886\) | 13.2558 | + | 22.9597i | 0.445336 | + | 0.771345i | ||||
\(887\) | −22.2164 | −0.745953 | −0.372976 | − | 0.927841i | \(-0.621663\pi\) | ||||
−0.372976 | + | 0.927841i | \(0.621663\pi\) | |||||||
\(888\) | 1.77684 | − | 7.71048i | 0.0596268 | − | 0.258747i | ||||
\(889\) | −18.5115 | + | 5.13697i | −0.620857 | + | 0.172288i | ||||
\(890\) | −6.92833 | + | 4.00007i | −0.232238 | + | 0.134083i | ||||
\(891\) | 22.5656 | + | 9.07488i | 0.755976 | + | 0.304020i | ||||
\(892\) | 2.33020 | + | 1.34534i | 0.0780209 | + | 0.0450454i | ||||
\(893\) | 24.6036i | 0.823327i | ||||||||
\(894\) | 0.471891 | − | 0.506450i | 0.0157824 | − | 0.0169382i | ||||
\(895\) | 9.16845 | + | 5.29341i | 0.306467 | + | 0.176939i | ||||
\(896\) | −1.85412 | + | 1.88739i | −0.0619419 | + | 0.0630532i | ||||
\(897\) | −9.47553 | − | 32.2695i | −0.316379 | − | 1.07745i | ||||
\(898\) | 18.8011 | + | 32.5645i | 0.627401 | + | 1.08669i | ||||
\(899\) | −9.13984 | − | 15.8307i | −0.304831 | − | 0.527982i | ||||
\(900\) | −10.9436 | + | 7.39434i | −0.364785 | + | 0.246478i | ||||
\(901\) | 8.37308 | + | 4.83420i | 0.278948 | + | 0.161051i | ||||
\(902\) | −26.4847 | −0.881845 | ||||||||
\(903\) | −23.9351 | + | 46.0426i | −0.796511 | + | 1.53220i | ||||
\(904\) | 5.13381 | + | 8.89202i | 0.170748 | + | 0.295744i | ||||
\(905\) | 8.72930 | − | 5.03986i | 0.290172 | − | 0.167531i | ||||
\(906\) | 9.12730 | + | 8.50448i | 0.303234 | + | 0.282543i | ||||
\(907\) | 21.0951 | + | 36.5378i | 0.700452 | + | 1.21322i | 0.968308 | + | 0.249759i | \(0.0803514\pi\) |
−0.267856 | + | 0.963459i | \(0.586315\pi\) | |||||||
\(908\) | 5.28026 | 0.175232 | ||||||||
\(909\) | −2.15212 | − | 30.4249i | −0.0713813 | − | 1.00913i | ||||
\(910\) | 7.12750 | − | 1.88990i | 0.236274 | − | 0.0626495i | ||||
\(911\) | 22.5763i | 0.747985i | 0.927432 | + | 0.373992i | \(0.122011\pi\) | ||||
−0.927432 | + | 0.373992i | \(0.877989\pi\) | |||||||
\(912\) | −5.91981 | − | 5.51587i | −0.196025 | − | 0.182649i | ||||
\(913\) | −38.2979 | + | 22.1113i | −1.26747 | + | 0.731777i | ||||
\(914\) | − | 19.1061i | − | 0.631973i | ||||||
\(915\) | −3.91371 | + | 16.9833i | −0.129383 | + | 0.561452i | ||||
\(916\) | −22.9130 | + | 13.2288i | −0.757068 | + | 0.437093i | ||||
\(917\) | 7.25824 | − | 28.0845i | 0.239688 | − | 0.927433i | ||||
\(918\) | −8.64471 | + | 10.7017i | −0.285318 | + | 0.353209i | ||||
\(919\) | −5.03819 | + | 8.72641i | −0.166195 | + | 0.287858i | −0.937079 | − | 0.349118i | \(-0.886481\pi\) |
0.770884 | + | 0.636975i | \(0.219815\pi\) | |||||||
\(920\) | −2.08142 | − | 3.60512i | −0.0686224 | − | 0.118857i | ||||
\(921\) | −0.631289 | + | 2.73944i | −0.0208017 | + | 0.0902677i | ||||
\(922\) | 3.71257 | − | 2.14345i | 0.122267 | − | 0.0705909i | ||||
\(923\) | −20.6176 | + | 34.7810i | −0.678638 | + | 1.14483i | ||||
\(924\) | 10.9881 | + | 5.71215i | 0.361483 | + | 0.187916i | ||||
\(925\) | 10.0560 | − | 17.4175i | 0.330640 | − | 0.572685i | ||||
\(926\) | − | 30.5605i | − | 1.00428i | ||||||
\(927\) | 27.6984 | − | 1.95926i | 0.909735 | − | 0.0643506i | ||||
\(928\) | 2.44165 | − | 4.22905i | 0.0801509 | − | 0.138825i | ||||
\(929\) | 3.78399 | − | 6.55406i | 0.124149 | − | 0.215032i | −0.797251 | − | 0.603648i | \(-0.793713\pi\) |
0.921400 | + | 0.388616i | \(0.127047\pi\) | |||||||
\(930\) | −4.88373 | − | 1.12543i | −0.160144 | − | 0.0369043i | ||||
\(931\) | −15.8442 | + | 28.6057i | −0.519272 | + | 0.937516i | ||||
\(932\) | 3.01825 | − | 1.74259i | 0.0988662 | − | 0.0570804i | ||||
\(933\) | −35.8920 | + | 38.5205i | −1.17505 | + | 1.26110i | ||||
\(934\) | −16.7199 | + | 9.65321i | −0.547090 | + | 0.315863i | ||||
\(935\) | −4.78964 | − | 2.76530i | −0.156638 | − | 0.0904350i | ||||
\(936\) | −0.639100 | − | 10.7978i | −0.0208897 | − | 0.352936i | ||||
\(937\) | − | 47.8920i | − | 1.56456i | −0.622925 | − | 0.782282i | \(-0.714056\pi\) | ||
0.622925 | − | 0.782282i | \(-0.285944\pi\) | |||||||
\(938\) | 17.7809 | + | 4.59535i | 0.580567 | + | 0.150043i | ||||
\(939\) | −8.22306 | + | 2.51766i | −0.268349 | + | 0.0821607i | ||||
\(940\) | −2.03555 | + | 3.52567i | −0.0663923 | + | 0.114995i | ||||
\(941\) | 7.73208 | − | 13.3924i | 0.252059 | − | 0.436578i | −0.712034 | − | 0.702145i | \(-0.752226\pi\) |
0.964092 | + | 0.265567i | \(0.0855591\pi\) | |||||||
\(942\) | 14.2820 | − | 15.3279i | 0.465332 | − | 0.499410i | ||||
\(943\) | −45.7076 | − | 26.3893i | −1.48844 | − | 0.859353i | ||||
\(944\) | −11.2248 | −0.365337 | ||||||||
\(945\) | −8.53373 | + | 6.33276i | −0.277602 | + | 0.206005i | ||||
\(946\) | −15.3010 | + | 26.5021i | −0.497479 | + | 0.861659i | ||||
\(947\) | 4.59259i | 0.149239i | 0.997212 | + | 0.0746196i | \(0.0237742\pi\) | ||||
−0.997212 | + | 0.0746196i | \(0.976226\pi\) | |||||||
\(948\) | 5.21914 | + | 17.0465i | 0.169510 | + | 0.553645i | ||||
\(949\) | −37.4514 | − | 0.430659i | −1.21572 | − | 0.0139798i | ||||
\(950\) | −10.2831 | − | 17.8109i | −0.333629 | − | 0.577863i | ||||
\(951\) | −22.1626 | + | 6.78554i | −0.718672 | + | 0.220036i | ||||
\(952\) | −4.90889 | + | 4.99696i | −0.159098 | + | 0.161952i | ||||
\(953\) | −45.1678 | + | 26.0776i | −1.46313 | + | 0.844737i | −0.999155 | − | 0.0411118i | \(-0.986910\pi\) |
−0.463973 | + | 0.885849i | \(0.653577\pi\) | |||||||
\(954\) | 9.07756 | − | 6.13353i | 0.293897 | − | 0.198580i | ||||
\(955\) | − | 1.49988i | − | 0.0485351i | ||||||
\(956\) | 11.0001i | 0.355769i | ||||||||
\(957\) | −22.2738 | − | 5.13287i | −0.720010 | − | 0.165922i | ||||
\(958\) | 32.5686 | − | 18.8035i | 1.05224 | − | 0.607512i | ||||
\(959\) | 9.24723 | − | 9.41314i | 0.298609 | − | 0.303966i | ||||
\(960\) | −0.391956 | − | 1.28019i | −0.0126503 | − | 0.0413179i | ||||
\(961\) | −8.49380 | − | 14.7117i | −0.273994 | − | 0.474571i | ||||
\(962\) | 8.07110 | + | 14.3583i | 0.260223 | + | 0.462931i | ||||
\(963\) | 1.59086 | − | 3.26842i | 0.0512648 | − | 0.105323i | ||||
\(964\) | − | 2.31184i | − | 0.0744594i | ||||||
\(965\) | −3.88253 | + | 6.72474i | −0.124983 | + | 0.216477i | ||||
\(966\) | 13.2718 | + | 20.8066i | 0.427014 | + | 0.669441i | ||||
\(967\) | 54.0463 | 1.73801 | 0.869006 | − | 0.494802i | \(-0.164759\pi\) | ||||
0.869006 | + | 0.494802i | \(0.164759\pi\) | |||||||
\(968\) | −3.20151 | − | 1.84839i | −0.102900 | − | 0.0594096i | ||||
\(969\) | −15.6730 | − | 14.6035i | −0.503490 | − | 0.469134i | ||||
\(970\) | 3.06563 | − | 5.30983i | 0.0984314 | − | 0.170488i | ||||
\(971\) | −19.1393 | + | 33.1502i | −0.614209 | + | 1.06384i | 0.376314 | + | 0.926492i | \(0.377191\pi\) |
−0.990523 | + | 0.137349i | \(0.956142\pi\) | |||||||
\(972\) | 6.61638 | + | 14.1147i | 0.212220 | + | 0.452728i | ||||
\(973\) | 0.724574 | + | 0.187261i | 0.0232288 | + | 0.00600330i | ||||
\(974\) | 35.0418i | 1.12281i | ||||||||
\(975\) | 6.48158 | − | 26.7186i | 0.207577 | − | 0.855681i | ||||
\(976\) | 11.2735 | + | 6.50875i | 0.360855 | + | 0.208340i | ||||
\(977\) | −42.1551 | + | 24.3383i | −1.34866 | + | 0.778651i | −0.988060 | − | 0.154069i | \(-0.950762\pi\) |
−0.360602 | + | 0.932720i | \(0.617429\pi\) | |||||||
\(978\) | 11.9685 | + | 11.1518i | 0.382709 | + | 0.356595i | ||||
\(979\) | 24.2223 | − | 13.9847i | 0.774147 | − | 0.446954i | ||||
\(980\) | −4.63712 | + | 2.78834i | −0.148128 | + | 0.0890701i | ||||
\(981\) | −19.0430 | + | 12.8670i | −0.607995 | + | 0.410810i | ||||
\(982\) | 12.2429 | − | 21.2054i | 0.390688 | − | 0.676691i | ||||
\(983\) | 10.2329 | − | 17.7240i | 0.326380 | − | 0.565307i | −0.655411 | − | 0.755273i | \(-0.727504\pi\) |
0.981791 | + | 0.189966i | \(0.0608378\pi\) | |||||||
\(984\) | −12.4191 | − | 11.5716i | −0.395906 | − | 0.368891i | ||||
\(985\) | 2.28148i | 0.0726938i | ||||||||
\(986\) | 6.46439 | − | 11.1966i | 0.205868 | − | 0.356574i | ||||
\(987\) | 11.1323 | − | 21.4145i | 0.354344 | − | 0.681630i | ||||
\(988\) | 16.8423 | + | 0.193671i | 0.535823 | + | 0.00616150i | ||||
\(989\) | −52.8132 | + | 30.4917i | −1.67936 | + | 0.969581i | ||||
\(990\) | −5.19263 | + | 3.50856i | −0.165033 | + | 0.111509i | ||||
\(991\) | 19.3399 | + | 33.4977i | 0.614352 | + | 1.06409i | 0.990498 | + | 0.137529i | \(0.0439160\pi\) |
−0.376145 | + | 0.926561i | \(0.622751\pi\) | |||||||
\(992\) | −1.87166 | + | 3.24180i | −0.0594252 | + | 0.102927i | ||||
\(993\) | −34.8497 | + | 37.4019i | −1.10592 | + | 1.18691i | ||||
\(994\) | 7.42394 | − | 28.7257i | 0.235473 | − | 0.911123i | ||||
\(995\) | 1.87461 | − | 1.08231i | 0.0594292 | − | 0.0343115i | ||||
\(996\) | −27.6192 | − | 6.36470i | −0.875149 | − | 0.201673i | ||||
\(997\) | 2.83228i | 0.0896993i | 0.998994 | + | 0.0448497i | \(0.0142809\pi\) | ||||
−0.998994 | + | 0.0448497i | \(0.985719\pi\) | |||||||
\(998\) | 17.2311 | − | 9.94836i | 0.545440 | − | 0.314910i | ||||
\(999\) | −18.4657 | − | 14.9163i | −0.584228 | − | 0.471932i |
(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 | 546.2.bb.a.269.1 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.bb.a.269.27 | yes | 76 | |
7.5 | odd | 6 | 546.2.u.a.425.6 | yes | 76 | ||
13.3 | even | 3 | 546.2.u.a.185.33 | yes | 76 | ||
21.5 | even | 6 | 546.2.u.a.425.33 | yes | 76 | ||
39.29 | odd | 6 | 546.2.u.a.185.6 | ✓ | 76 | ||
91.68 | odd | 6 | inner | 546.2.bb.a.341.8 | yes | 76 | |
273.68 | even | 6 | inner | 546.2.bb.a.341.20 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.6 | ✓ | 76 | 39.29 | odd | 6 | ||
546.2.u.a.185.33 | yes | 76 | 13.3 | even | 3 | ||
546.2.u.a.425.6 | yes | 76 | 7.5 | odd | 6 | ||
546.2.u.a.425.33 | yes | 76 | 21.5 | even | 6 | ||
546.2.bb.a.269.1 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.bb.a.269.27 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.bb.a.341.8 | yes | 76 | 91.68 | odd | 6 | inner | |
546.2.bb.a.341.20 | yes | 76 | 273.68 | even | 6 | inner |