Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(107,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 15, 44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bs (of order \(60\), degree \(16\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 107.16 | ||
Character | \(\chi\) | \(=\) | 930.107 |
Dual form | 930.2.bs.a.113.16 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(e\left(\frac{11}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.453990 | − | 0.891007i | −0.321020 | − | 0.630037i | ||||
\(3\) | −0.148049 | − | 1.72571i | −0.0854760 | − | 0.996340i | ||||
\(4\) | −0.587785 | + | 0.809017i | −0.293893 | + | 0.404508i | ||||
\(5\) | −1.13774 | + | 1.92498i | −0.508811 | + | 0.860878i | ||||
\(6\) | −1.47041 | + | 0.915369i | −0.600291 | + | 0.373698i | ||||
\(7\) | −1.33909 | + | 1.08437i | −0.506128 | + | 0.409855i | −0.848084 | − | 0.529861i | \(-0.822244\pi\) |
0.341956 | + | 0.939716i | \(0.388911\pi\) | |||||||
\(8\) | 0.987688 | + | 0.156434i | 0.349201 | + | 0.0553079i | ||||
\(9\) | −2.95616 | + | 0.510979i | −0.985388 | + | 0.170326i | ||||
\(10\) | 2.23169 | + | 0.139806i | 0.705723 | + | 0.0442107i | ||||
\(11\) | 0.949549 | + | 2.13272i | 0.286300 | + | 0.643040i | 0.998247 | − | 0.0591935i | \(-0.0188529\pi\) |
−0.711947 | + | 0.702234i | \(0.752186\pi\) | |||||||
\(12\) | 1.48315 | + | 0.894574i | 0.428149 | + | 0.258241i | ||||
\(13\) | 2.80000 | − | 1.81834i | 0.776580 | − | 0.504317i | −0.0944601 | − | 0.995529i | \(-0.530112\pi\) |
0.871040 | + | 0.491212i | \(0.163446\pi\) | |||||||
\(14\) | 1.57412 | + | 0.700843i | 0.420701 | + | 0.187308i | ||||
\(15\) | 3.49041 | + | 1.67841i | 0.901219 | + | 0.433364i | ||||
\(16\) | −0.309017 | − | 0.951057i | −0.0772542 | − | 0.237764i | ||||
\(17\) | 2.28151 | − | 0.875791i | 0.553348 | − | 0.212410i | −0.0655949 | − | 0.997846i | \(-0.520895\pi\) |
0.618943 | + | 0.785436i | \(0.287561\pi\) | |||||||
\(18\) | 1.79736 | + | 2.40198i | 0.423641 | + | 0.566152i | ||||
\(19\) | −1.20329 | − | 5.66103i | −0.276054 | − | 1.29873i | −0.869530 | − | 0.493879i | \(-0.835578\pi\) |
0.593477 | − | 0.804851i | \(-0.297755\pi\) | |||||||
\(20\) | −0.888599 | − | 2.05192i | −0.198697 | − | 0.458824i | ||||
\(21\) | 2.06957 | + | 2.15034i | 0.451617 | + | 0.469243i | ||||
\(22\) | 1.46918 | − | 1.81429i | 0.313231 | − | 0.386808i | ||||
\(23\) | 1.76701 | + | 0.279867i | 0.368447 | + | 0.0583563i | 0.337913 | − | 0.941177i | \(-0.390279\pi\) |
0.0305342 | + | 0.999534i | \(0.490279\pi\) | |||||||
\(24\) | 0.123735 | − | 1.72763i | 0.0252572 | − | 0.352650i | ||||
\(25\) | −2.41111 | − | 4.38024i | −0.482223 | − | 0.876049i | ||||
\(26\) | −2.89133 | − | 1.66931i | −0.567036 | − | 0.327378i | ||||
\(27\) | 1.31946 | + | 5.02584i | 0.253930 | + | 0.967223i | ||||
\(28\) | −0.0901794 | − | 1.72073i | −0.0170423 | − | 0.325187i | ||||
\(29\) | 1.69240 | − | 5.20866i | 0.314270 | − | 0.967224i | −0.661784 | − | 0.749695i | \(-0.730200\pi\) |
0.976054 | − | 0.217529i | \(-0.0697997\pi\) | |||||||
\(30\) | −0.0891338 | − | 3.87196i | −0.0162735 | − | 0.706919i | ||||
\(31\) | 0.943425 | − | 5.48725i | 0.169444 | − | 0.985540i | ||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 3.53989 | − | 1.95440i | 0.616215 | − | 0.340217i | ||||
\(34\) | −1.81612 | − | 1.63524i | −0.311462 | − | 0.280442i | ||||
\(35\) | −0.563869 | − | 3.81146i | −0.0953113 | − | 0.644254i | ||||
\(36\) | 1.32420 | − | 2.69193i | 0.220700 | − | 0.448655i | ||||
\(37\) | 1.21912 | − | 4.54983i | 0.200423 | − | 0.747987i | −0.790374 | − | 0.612625i | \(-0.790114\pi\) |
0.990796 | − | 0.135362i | \(-0.0432198\pi\) | |||||||
\(38\) | −4.49774 | + | 3.64219i | −0.729629 | + | 0.590842i | ||||
\(39\) | −3.55247 | − | 4.56279i | −0.568850 | − | 0.730631i | ||||
\(40\) | −1.42486 | + | 1.72330i | −0.225290 | + | 0.272478i | ||||
\(41\) | 0.232812 | − | 0.209625i | 0.0363591 | − | 0.0327379i | −0.650751 | − | 0.759291i | \(-0.725546\pi\) |
0.687110 | + | 0.726553i | \(0.258879\pi\) | |||||||
\(42\) | 0.976406 | − | 2.82023i | 0.150663 | − | 0.435171i | ||||
\(43\) | 2.12607 | − | 3.27386i | 0.324222 | − | 0.499259i | −0.638547 | − | 0.769583i | \(-0.720464\pi\) |
0.962769 | + | 0.270324i | \(0.0871308\pi\) | |||||||
\(44\) | −2.28354 | − | 0.485381i | −0.344257 | − | 0.0731740i | ||||
\(45\) | 2.37971 | − | 6.27192i | 0.354746 | − | 0.934963i | ||||
\(46\) | −0.552842 | − | 1.70147i | −0.0815122 | − | 0.250869i | ||||
\(47\) | 10.8745 | + | 5.54083i | 1.58621 | + | 0.808213i | 0.999998 | − | 0.00194647i | \(-0.000619582\pi\) |
0.586209 | + | 0.810160i | \(0.300620\pi\) | |||||||
\(48\) | −1.59550 | + | 0.674077i | −0.230291 | + | 0.0972946i | ||||
\(49\) | −0.838086 | + | 3.94289i | −0.119727 | + | 0.563269i | ||||
\(50\) | −2.80820 | + | 4.13691i | −0.397140 | + | 0.585047i | ||||
\(51\) | −1.84914 | − | 3.80757i | −0.258931 | − | 0.533167i | ||||
\(52\) | −0.174730 | + | 3.33404i | −0.0242306 | + | 0.462348i | ||||
\(53\) | −2.06401 | + | 2.54884i | −0.283514 | + | 0.350110i | −0.898930 | − | 0.438092i | \(-0.855654\pi\) |
0.615417 | + | 0.788202i | \(0.288988\pi\) | |||||||
\(54\) | 3.87903 | − | 3.45733i | 0.527869 | − | 0.470483i | ||||
\(55\) | −5.18579 | − | 0.598610i | −0.699252 | − | 0.0807165i | ||||
\(56\) | −1.49224 | + | 0.861543i | −0.199409 | + | 0.115129i | ||||
\(57\) | −9.59117 | + | 2.91464i | −1.27038 | + | 0.386054i | ||||
\(58\) | −5.40928 | + | 0.856746i | −0.710273 | + | 0.112496i | ||||
\(59\) | 3.94722 | − | 4.38383i | 0.513884 | − | 0.570726i | −0.429230 | − | 0.903195i | \(-0.641215\pi\) |
0.943114 | + | 0.332469i | \(0.107882\pi\) | |||||||
\(60\) | −3.40947 | + | 1.83725i | −0.440161 | + | 0.237188i | ||||
\(61\) | −4.86392 | −0.622761 | −0.311381 | − | 0.950285i | \(-0.600791\pi\) | ||||
−0.311381 | + | 0.950285i | \(0.600791\pi\) | |||||||
\(62\) | −5.31748 | + | 1.65056i | −0.675321 | + | 0.209622i | ||||
\(63\) | 3.40448 | − | 3.88983i | 0.428924 | − | 0.490073i | ||||
\(64\) | 0.951057 | + | 0.309017i | 0.118882 | + | 0.0386271i | ||||
\(65\) | 0.314614 | + | 7.45874i | 0.0390231 | + | 0.925143i | ||||
\(66\) | −3.34845 | − | 2.26678i | −0.412166 | − | 0.279022i | ||||
\(67\) | 14.9253 | − | 3.99921i | 1.82341 | − | 0.488581i | 0.826210 | − | 0.563363i | \(-0.190493\pi\) |
0.997200 | + | 0.0747815i | \(0.0238259\pi\) | |||||||
\(68\) | −0.632510 | + | 2.36056i | −0.0767031 | + | 0.286260i | ||||
\(69\) | 0.221366 | − | 3.09078i | 0.0266493 | − | 0.372087i | ||||
\(70\) | −3.14004 | + | 2.23278i | −0.375307 | + | 0.266868i | ||||
\(71\) | 5.09113 | − | 0.535099i | 0.604206 | − | 0.0635046i | 0.202514 | − | 0.979279i | \(-0.435089\pi\) |
0.401692 | + | 0.915775i | \(0.368422\pi\) | |||||||
\(72\) | −2.99970 | + | 0.0422424i | −0.353518 | + | 0.00497831i | ||||
\(73\) | −1.07539 | + | 2.80150i | −0.125865 | + | 0.327891i | −0.982005 | − | 0.188854i | \(-0.939523\pi\) |
0.856140 | + | 0.516744i | \(0.172856\pi\) | |||||||
\(74\) | −4.60740 | + | 0.979332i | −0.535599 | + | 0.113845i | ||||
\(75\) | −7.20208 | + | 4.80938i | −0.831624 | + | 0.555339i | ||||
\(76\) | 5.28715 | + | 2.35399i | 0.606478 | + | 0.270021i | ||||
\(77\) | −3.58420 | − | 1.82624i | −0.408458 | − | 0.208119i | ||||
\(78\) | −2.45269 | + | 5.23674i | −0.277712 | + | 0.592944i | ||||
\(79\) | 0.0540458 | − | 0.121389i | 0.00608062 | − | 0.0136573i | −0.910480 | − | 0.413554i | \(-0.864287\pi\) |
0.916560 | + | 0.399897i | \(0.130954\pi\) | |||||||
\(80\) | 2.18235 | + | 0.487199i | 0.243994 | + | 0.0544705i | ||||
\(81\) | 8.47780 | − | 3.02108i | 0.941978 | − | 0.335675i | ||||
\(82\) | −0.292471 | − | 0.112269i | −0.0322981 | − | 0.0123981i | ||||
\(83\) | −0.380018 | + | 7.25118i | −0.0417124 | + | 0.795920i | 0.895053 | + | 0.445961i | \(0.147138\pi\) |
−0.936765 | + | 0.349959i | \(0.886195\pi\) | |||||||
\(84\) | −2.95613 | + | 0.410375i | −0.322540 | + | 0.0447756i | ||||
\(85\) | −0.909877 | + | 5.38829i | −0.0986901 | + | 0.584442i | ||||
\(86\) | −3.88224 | − | 0.408040i | −0.418633 | − | 0.0440001i | ||||
\(87\) | −9.23920 | − | 2.14945i | −0.990546 | − | 0.230445i | ||||
\(88\) | 0.604227 | + | 2.25501i | 0.0644109 | + | 0.240385i | ||||
\(89\) | −10.2609 | − | 7.45498i | −1.08765 | − | 0.790226i | −0.108652 | − | 0.994080i | \(-0.534653\pi\) |
−0.979001 | + | 0.203854i | \(0.934653\pi\) | |||||||
\(90\) | −6.66869 | + | 0.727058i | −0.702941 | + | 0.0766386i | ||||
\(91\) | −1.77769 | + | 5.47117i | −0.186353 | + | 0.573534i | ||||
\(92\) | −1.26504 | + | 1.26504i | −0.131889 | + | 0.131889i | ||||
\(93\) | −9.60909 | − | 0.815699i | −0.996416 | − | 0.0845840i | ||||
\(94\) | − | 12.2047i | − | 1.25882i | ||||||
\(95\) | 12.2664 | + | 4.12445i | 1.25851 | + | 0.423160i | ||||
\(96\) | 1.32495 | + | 1.11558i | 0.135227 | + | 0.113858i | ||||
\(97\) | −1.99508 | − | 12.5965i | −0.202570 | − | 1.27898i | −0.854002 | − | 0.520269i | \(-0.825832\pi\) |
0.651432 | − | 0.758707i | \(-0.274168\pi\) | |||||||
\(98\) | 3.89362 | − | 1.04329i | 0.393315 | − | 0.105388i | ||||
\(99\) | −3.89680 | − | 5.81948i | −0.391643 | − | 0.584879i | ||||
\(100\) | 4.96091 | + | 0.624010i | 0.496091 | + | 0.0624010i | ||||
\(101\) | −5.16457 | − | 7.10842i | −0.513894 | − | 0.707314i | 0.470676 | − | 0.882306i | \(-0.344010\pi\) |
−0.984570 | + | 0.174992i | \(0.944010\pi\) | |||||||
\(102\) | −2.55308 | + | 3.37620i | −0.252793 | + | 0.334293i | ||||
\(103\) | 9.01776 | + | 0.472601i | 0.888546 | + | 0.0465667i | 0.491145 | − | 0.871078i | \(-0.336579\pi\) |
0.397402 | + | 0.917645i | \(0.369912\pi\) | |||||||
\(104\) | 3.04998 | − | 1.35794i | 0.299075 | − | 0.133157i | ||||
\(105\) | −6.49399 | + | 1.53736i | −0.633749 | + | 0.150031i | ||||
\(106\) | 3.20807 | + | 0.681897i | 0.311596 | + | 0.0662317i | ||||
\(107\) | −15.5197 | + | 5.95746i | −1.50035 | + | 0.575929i | −0.963490 | − | 0.267744i | \(-0.913722\pi\) |
−0.536857 | + | 0.843673i | \(0.680389\pi\) | |||||||
\(108\) | −4.84155 | − | 1.88665i | −0.465878 | − | 0.181543i | ||||
\(109\) | 6.87636 | − | 2.23426i | 0.658636 | − | 0.214004i | 0.0394176 | − | 0.999223i | \(-0.487450\pi\) |
0.619218 | + | 0.785219i | \(0.287450\pi\) | |||||||
\(110\) | 1.82093 | + | 4.89234i | 0.173619 | + | 0.466466i | ||||
\(111\) | −8.03218 | − | 1.43026i | −0.762381 | − | 0.135754i | ||||
\(112\) | 1.44510 | + | 0.938460i | 0.136549 | + | 0.0886762i | ||||
\(113\) | −5.00378 | − | 1.92077i | −0.470716 | − | 0.180691i | 0.111435 | − | 0.993772i | \(-0.464455\pi\) |
−0.582151 | + | 0.813081i | \(0.697789\pi\) | |||||||
\(114\) | 6.95126 | + | 7.22257i | 0.651045 | + | 0.676456i | ||||
\(115\) | −2.54913 | + | 3.08305i | −0.237707 | + | 0.287496i | ||||
\(116\) | 3.21913 | + | 4.43075i | 0.298889 | + | 0.411385i | ||||
\(117\) | −7.34812 | + | 6.80605i | −0.679334 | + | 0.629220i | ||||
\(118\) | −5.69802 | − | 1.52678i | −0.524546 | − | 0.140552i | ||||
\(119\) | −2.10547 | + | 3.64677i | −0.193008 | + | 0.334299i | ||||
\(120\) | 3.18487 | + | 2.20377i | 0.290738 | + | 0.201176i | ||||
\(121\) | 3.71357 | − | 4.12434i | 0.337598 | − | 0.374940i | ||||
\(122\) | 2.20817 | + | 4.33379i | 0.199919 | + | 0.392363i | ||||
\(123\) | −0.396219 | − | 0.370731i | −0.0357259 | − | 0.0334277i | ||||
\(124\) | 3.88475 | + | 3.98857i | 0.348861 | + | 0.358184i | ||||
\(125\) | 11.1751 | + | 0.342209i | 0.999531 | + | 0.0306081i | ||||
\(126\) | −5.01147 | − | 1.26746i | −0.446457 | − | 0.112915i | ||||
\(127\) | 10.2803 | − | 0.538766i | 0.912225 | − | 0.0478077i | 0.409555 | − | 0.912286i | \(-0.365684\pi\) |
0.502671 | + | 0.864478i | \(0.332351\pi\) | |||||||
\(128\) | −0.156434 | − | 0.987688i | −0.0138270 | − | 0.0873001i | ||||
\(129\) | −5.96450 | − | 3.18429i | −0.525145 | − | 0.280361i | ||||
\(130\) | 6.50296 | − | 3.66652i | 0.570347 | − | 0.321575i | ||||
\(131\) | 5.12326 | + | 0.538476i | 0.447621 | + | 0.0470469i | 0.325658 | − | 0.945488i | \(-0.394414\pi\) |
0.121963 | + | 0.992535i | \(0.461081\pi\) | |||||||
\(132\) | −0.499553 | + | 4.01259i | −0.0434805 | + | 0.349251i | ||||
\(133\) | 7.74999 | + | 6.27582i | 0.672009 | + | 0.544182i | ||||
\(134\) | −10.3392 | − | 11.4829i | −0.893175 | − | 0.991971i | ||||
\(135\) | −11.1758 | − | 3.17814i | −0.961863 | − | 0.273531i | ||||
\(136\) | 2.39043 | − | 0.508101i | 0.204977 | − | 0.0435693i | ||||
\(137\) | −5.87908 | + | 3.81792i | −0.502283 | + | 0.326187i | −0.770788 | − | 0.637092i | \(-0.780137\pi\) |
0.268505 | + | 0.963278i | \(0.413471\pi\) | |||||||
\(138\) | −2.85441 | + | 1.20595i | −0.242983 | + | 0.102657i | ||||
\(139\) | −2.99490 | + | 0.973102i | −0.254024 | + | 0.0825375i | −0.433261 | − | 0.901268i | \(-0.642637\pi\) |
0.179237 | + | 0.983806i | \(0.442637\pi\) | |||||||
\(140\) | 3.41497 | + | 1.78414i | 0.288617 | + | 0.150787i | ||||
\(141\) | 7.95192 | − | 19.5866i | 0.669673 | − | 1.64949i | ||||
\(142\) | −2.78810 | − | 4.29330i | −0.233972 | − | 0.360286i | ||||
\(143\) | 6.53675 | + | 4.24502i | 0.546631 | + | 0.354986i | ||||
\(144\) | 1.39947 | + | 2.65358i | 0.116623 | + | 0.221131i | ||||
\(145\) | 8.10108 | + | 9.18391i | 0.672758 | + | 0.762682i | ||||
\(146\) | 2.98437 | − | 0.313670i | 0.246988 | − | 0.0259595i | ||||
\(147\) | 6.92836 | + | 0.862556i | 0.571442 | + | 0.0711424i | ||||
\(148\) | 2.96431 | + | 3.66061i | 0.243664 | + | 0.300901i | ||||
\(149\) | −7.79495 | − | 13.5013i | −0.638587 | − | 1.10607i | −0.985743 | − | 0.168258i | \(-0.946186\pi\) |
0.347156 | − | 0.937807i | \(-0.387148\pi\) | |||||||
\(150\) | 7.55486 | + | 4.23368i | 0.616852 | + | 0.345679i | ||||
\(151\) | 3.61117 | + | 2.62367i | 0.293873 | + | 0.213511i | 0.724946 | − | 0.688806i | \(-0.241865\pi\) |
−0.431073 | + | 0.902317i | \(0.641865\pi\) | |||||||
\(152\) | −0.302895 | − | 5.77957i | −0.0245680 | − | 0.468785i | ||||
\(153\) | −6.29701 | + | 3.75479i | −0.509083 | + | 0.303556i | ||||
\(154\) | 4.02264i | 0.324154i | ||||||||
\(155\) | 9.48950 | + | 8.05912i | 0.762215 | + | 0.647324i | ||||
\(156\) | 5.77946 | − | 0.192068i | 0.462727 | − | 0.0153777i | ||||
\(157\) | 7.03395 | − | 3.58397i | 0.561370 | − | 0.286032i | −0.150191 | − | 0.988657i | \(-0.547989\pi\) |
0.711561 | + | 0.702625i | \(0.247989\pi\) | |||||||
\(158\) | −0.132694 | + | 0.00695422i | −0.0105566 | + | 0.000553248i | ||||
\(159\) | 4.70414 | + | 3.18453i | 0.373062 | + | 0.252550i | ||||
\(160\) | −0.556667 | − | 2.16567i | −0.0440084 | − | 0.171211i | ||||
\(161\) | −2.66966 | + | 1.54133i | −0.210399 | + | 0.121474i | ||||
\(162\) | −6.54064 | − | 6.18224i | −0.513881 | − | 0.485722i | ||||
\(163\) | −1.84201 | + | 11.6300i | −0.144277 | + | 0.910932i | 0.804262 | + | 0.594274i | \(0.202561\pi\) |
−0.948540 | + | 0.316658i | \(0.897439\pi\) | |||||||
\(164\) | 0.0327466 | + | 0.311563i | 0.00255708 | + | 0.0243290i | ||||
\(165\) | −0.265278 | + | 9.03780i | −0.0206519 | + | 0.703592i | ||||
\(166\) | 6.63337 | − | 2.95337i | 0.514849 | − | 0.229226i | ||||
\(167\) | 12.7547 | − | 19.6405i | 0.986986 | − | 1.51983i | 0.138668 | − | 0.990339i | \(-0.455718\pi\) |
0.848319 | − | 0.529486i | \(-0.177615\pi\) | |||||||
\(168\) | 1.70770 | + | 2.44762i | 0.131752 | + | 0.188838i | ||||
\(169\) | −0.753943 | + | 1.69338i | −0.0579956 | + | 0.130260i | ||||
\(170\) | 5.21408 | − | 1.63553i | 0.399901 | − | 0.125439i | ||||
\(171\) | 6.44979 | + | 16.1201i | 0.493228 | + | 1.23273i | ||||
\(172\) | 1.39894 | + | 3.64435i | 0.106668 | + | 0.277879i | ||||
\(173\) | −2.49794 | − | 3.84649i | −0.189915 | − | 0.292443i | 0.730868 | − | 0.682519i | \(-0.239116\pi\) |
−0.920783 | + | 0.390076i | \(0.872449\pi\) | |||||||
\(174\) | 2.27933 | + | 9.20802i | 0.172796 | + | 0.698058i | ||||
\(175\) | 7.97852 | + | 3.25099i | 0.603119 | + | 0.245752i | ||||
\(176\) | 1.73491 | − | 1.56212i | 0.130774 | − | 0.117749i | ||||
\(177\) | −8.14961 | − | 6.16274i | −0.612562 | − | 0.463220i | ||||
\(178\) | −1.98408 | + | 12.5270i | −0.148713 | + | 0.938940i | ||||
\(179\) | 0.565799 | − | 5.38322i | 0.0422898 | − | 0.402360i | −0.952816 | − | 0.303548i | \(-0.901829\pi\) |
0.995106 | − | 0.0988128i | \(-0.0315045\pi\) | |||||||
\(180\) | 3.67533 | + | 5.61177i | 0.273943 | + | 0.418276i | ||||
\(181\) | −4.27755 | + | 7.40893i | −0.317948 | + | 0.550702i | −0.980060 | − | 0.198703i | \(-0.936327\pi\) |
0.662112 | + | 0.749405i | \(0.269660\pi\) | |||||||
\(182\) | 5.68190 | − | 0.899925i | 0.421170 | − | 0.0667069i | ||||
\(183\) | 0.720098 | + | 8.39373i | 0.0532312 | + | 0.620482i | ||||
\(184\) | 1.70147 | + | 0.552842i | 0.125434 | + | 0.0407561i | ||||
\(185\) | 7.37130 | + | 7.52329i | 0.541949 | + | 0.553123i | ||||
\(186\) | 3.63564 | + | 8.93208i | 0.266578 | + | 0.654932i | ||||
\(187\) | 4.03423 | + | 4.03423i | 0.295012 | + | 0.295012i | ||||
\(188\) | −10.8745 | + | 5.54083i | −0.793104 | + | 0.404107i | ||||
\(189\) | −7.21676 | − | 5.29926i | −0.524942 | − | 0.385464i | ||||
\(190\) | −1.89392 | − | 12.8019i | −0.137400 | − | 0.928749i | ||||
\(191\) | −0.811513 | − | 0.468527i | −0.0587190 | − | 0.0339014i | 0.470353 | − | 0.882478i | \(-0.344127\pi\) |
−0.529072 | + | 0.848577i | \(0.677460\pi\) | |||||||
\(192\) | 0.392472 | − | 1.68700i | 0.0283242 | − | 0.121749i | ||||
\(193\) | 12.2415 | + | 15.1169i | 0.881160 | + | 1.08814i | 0.995506 | + | 0.0947007i | \(0.0301894\pi\) |
−0.114346 | + | 0.993441i | \(0.536477\pi\) | |||||||
\(194\) | −10.3178 | + | 7.49630i | −0.740773 | + | 0.538203i | ||||
\(195\) | 12.8251 | − | 1.64719i | 0.918422 | − | 0.117958i | ||||
\(196\) | −2.69725 | − | 2.99560i | −0.192660 | − | 0.213971i | ||||
\(197\) | 2.08032 | − | 5.41941i | 0.148216 | − | 0.386117i | −0.839293 | − | 0.543680i | \(-0.817030\pi\) |
0.987509 | + | 0.157563i | \(0.0503638\pi\) | |||||||
\(198\) | −3.41608 | + | 6.11406i | −0.242770 | + | 0.434507i | ||||
\(199\) | 5.74366 | − | 27.0218i | 0.407158 | − | 1.91553i | 0.00492545 | − | 0.999988i | \(-0.498432\pi\) |
0.402232 | − | 0.915538i | \(-0.368234\pi\) | |||||||
\(200\) | −1.69621 | − | 4.70350i | −0.119940 | − | 0.332587i | ||||
\(201\) | −9.11115 | − | 25.1646i | −0.642651 | − | 1.77497i | ||||
\(202\) | −3.98898 | + | 7.82882i | −0.280664 | + | 0.550834i | ||||
\(203\) | 3.38186 | + | 8.81005i | 0.237360 | + | 0.618344i | ||||
\(204\) | 4.16729 | + | 0.742052i | 0.291768 | + | 0.0519540i | ||||
\(205\) | 0.138645 | + | 0.686656i | 0.00968342 | + | 0.0479581i | ||||
\(206\) | −3.67289 | − | 8.24944i | −0.255902 | − | 0.574766i | ||||
\(207\) | −5.36657 | + | 0.0755731i | −0.373003 | + | 0.00525269i | ||||
\(208\) | −2.59459 | − | 2.10106i | −0.179903 | − | 0.145682i | ||||
\(209\) | 10.9308 | − | 7.94171i | 0.756101 | − | 0.549340i | ||||
\(210\) | 4.31801 | + | 5.08825i | 0.297971 | + | 0.351122i | ||||
\(211\) | −0.818874 | − | 1.41833i | −0.0563736 | − | 0.0976419i | 0.836461 | − | 0.548026i | \(-0.184620\pi\) |
−0.892835 | + | 0.450384i | \(0.851287\pi\) | |||||||
\(212\) | −0.848860 | − | 3.16799i | −0.0583000 | − | 0.217578i | ||||
\(213\) | −1.67716 | − | 8.70660i | −0.114917 | − | 0.596567i | ||||
\(214\) | 12.3539 | + | 11.1235i | 0.844498 | + | 0.760389i | ||||
\(215\) | 3.88322 | + | 7.81743i | 0.264833 | + | 0.533144i | ||||
\(216\) | 0.517001 | + | 5.17037i | 0.0351774 | + | 0.351799i | ||||
\(217\) | 4.68690 | + | 8.37095i | 0.318168 | + | 0.568257i | ||||
\(218\) | −5.11255 | − | 5.11255i | −0.346265 | − | 0.346265i | ||||
\(219\) | 4.99379 | + | 1.44106i | 0.337449 | + | 0.0973780i | ||||
\(220\) | 3.53242 | − | 3.84354i | 0.238155 | − | 0.259131i | ||||
\(221\) | 4.79575 | − | 6.60078i | 0.322597 | − | 0.444017i | ||||
\(222\) | 2.37217 | + | 7.80605i | 0.159209 | + | 0.523908i | ||||
\(223\) | −17.9603 | − | 4.81243i | −1.20271 | − | 0.322264i | −0.398811 | − | 0.917033i | \(-0.630577\pi\) |
−0.803897 | + | 0.594769i | \(0.797244\pi\) | |||||||
\(224\) | 0.180112 | − | 1.71365i | 0.0120342 | − | 0.114498i | ||||
\(225\) | 9.36586 | + | 11.7167i | 0.624391 | + | 0.781112i | ||||
\(226\) | 0.560248 | + | 5.33041i | 0.0372672 | + | 0.354573i | ||||
\(227\) | 20.4262 | + | 1.07049i | 1.35573 | + | 0.0710509i | 0.716297 | − | 0.697795i | \(-0.245835\pi\) |
0.639434 | + | 0.768846i | \(0.279169\pi\) | |||||||
\(228\) | 3.27955 | − | 9.47260i | 0.217194 | − | 0.627338i | ||||
\(229\) | 1.48362 | + | 6.97989i | 0.0980405 | + | 0.461244i | 0.999592 | + | 0.0285719i | \(0.00909596\pi\) |
−0.901551 | + | 0.432672i | \(0.857571\pi\) | |||||||
\(230\) | 3.90430 | + | 0.871616i | 0.257442 | + | 0.0574727i | ||||
\(231\) | −2.62093 | + | 6.45567i | −0.172445 | + | 0.424752i | ||||
\(232\) | 2.48637 | − | 4.87978i | 0.163238 | − | 0.320373i | ||||
\(233\) | −12.5949 | + | 24.7188i | −0.825118 | + | 1.61938i | −0.0406840 | + | 0.999172i | \(0.512954\pi\) |
−0.784434 | + | 0.620213i | \(0.787046\pi\) | |||||||
\(234\) | 9.40022 | + | 3.45734i | 0.614511 | + | 0.226013i | ||||
\(235\) | −23.0383 | + | 14.6292i | −1.50285 | + | 0.954304i | ||||
\(236\) | 1.22648 | + | 5.77012i | 0.0798368 | + | 0.375603i | ||||
\(237\) | −0.217484 | − | 0.0752960i | −0.0141271 | − | 0.00489100i | ||||
\(238\) | 4.20516 | + | 0.220383i | 0.272580 | + | 0.0142853i | ||||
\(239\) | 2.94960 | + | 28.0636i | 0.190794 | + | 1.81528i | 0.501923 | + | 0.864913i | \(0.332626\pi\) |
−0.311129 | + | 0.950368i | \(0.600707\pi\) | |||||||
\(240\) | 0.517671 | − | 3.83823i | 0.0334155 | − | 0.247757i | ||||
\(241\) | 0.322661 | − | 3.06991i | 0.0207844 | − | 0.197750i | −0.979202 | − | 0.202886i | \(-0.934968\pi\) |
0.999987 | + | 0.00513539i | \(0.00163465\pi\) | |||||||
\(242\) | −5.36074 | − | 1.43641i | −0.344602 | − | 0.0923357i | ||||
\(243\) | −6.46863 | − | 14.1830i | −0.414963 | − | 0.909838i | ||||
\(244\) | 2.85894 | − | 3.93500i | 0.183025 | − | 0.251912i | ||||
\(245\) | −6.63646 | − | 6.09926i | −0.423988 | − | 0.389668i | ||||
\(246\) | −0.150444 | + | 0.521343i | −0.00959198 | + | 0.0332396i | ||||
\(247\) | −13.6629 | − | 13.6629i | −0.869350 | − | 0.869350i | ||||
\(248\) | 1.79021 | − | 5.27211i | 0.113678 | − | 0.334779i | ||||
\(249\) | 12.5697 | − | 0.417726i | 0.796573 | − | 0.0264723i | ||||
\(250\) | −4.76848 | − | 10.1124i | −0.301585 | − | 0.639567i | ||||
\(251\) | 14.9901 | + | 13.4971i | 0.946164 | + | 0.851930i | 0.989115 | − | 0.147147i | \(-0.0470092\pi\) |
−0.0429508 | + | 0.999077i | \(0.513676\pi\) | |||||||
\(252\) | 1.14584 | + | 5.04067i | 0.0721811 | + | 0.317532i | ||||
\(253\) | 1.08098 | + | 4.03429i | 0.0679609 | + | 0.253634i | ||||
\(254\) | −5.14718 | − | 8.91518i | −0.322963 | − | 0.559388i | ||||
\(255\) | 9.43334 | + | 0.772456i | 0.590739 | + | 0.0483731i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −14.5634 | − | 11.7932i | −0.908441 | − | 0.735641i | 0.0564186 | − | 0.998407i | \(-0.482032\pi\) |
−0.964860 | + | 0.262766i | \(0.915365\pi\) | |||||||
\(258\) | −0.129398 | + | 6.76005i | −0.00805599 | + | 0.420862i | ||||
\(259\) | 3.30120 | + | 7.41461i | 0.205127 | + | 0.460722i | ||||
\(260\) | −6.21917 | − | 4.12961i | −0.385697 | − | 0.256108i | ||||
\(261\) | −2.34148 | + | 16.2624i | −0.144934 | + | 1.00662i | ||||
\(262\) | −1.84612 | − | 4.80932i | −0.114054 | − | 0.297121i | ||||
\(263\) | −12.7066 | + | 24.9382i | −0.783525 | + | 1.53776i | 0.0584815 | + | 0.998288i | \(0.481374\pi\) |
−0.842007 | + | 0.539467i | \(0.818626\pi\) | |||||||
\(264\) | 3.80204 | − | 1.37657i | 0.233999 | − | 0.0847223i | ||||
\(265\) | −2.55817 | − | 6.87309i | −0.157147 | − | 0.422210i | ||||
\(266\) | 2.07337 | − | 9.75445i | 0.127127 | − | 0.598084i | ||||
\(267\) | −11.3460 | + | 18.8111i | −0.694366 | + | 1.15122i | ||||
\(268\) | −5.53741 | + | 14.4255i | −0.338251 | + | 0.881175i | ||||
\(269\) | −11.6676 | − | 12.9582i | −0.711386 | − | 0.790075i | 0.273759 | − | 0.961798i | \(-0.411733\pi\) |
−0.985145 | + | 0.171724i | \(0.945066\pi\) | |||||||
\(270\) | 2.24198 | + | 11.4006i | 0.136443 | + | 0.693818i | ||||
\(271\) | −26.3012 | + | 19.1090i | −1.59769 | + | 1.16079i | −0.705917 | + | 0.708294i | \(0.749465\pi\) |
−0.891768 | + | 0.452492i | \(0.850535\pi\) | |||||||
\(272\) | −1.53795 | − | 1.89921i | −0.0932521 | − | 0.115157i | ||||
\(273\) | 9.70484 | + | 2.25778i | 0.587364 | + | 0.136647i | ||||
\(274\) | 6.07083 | + | 3.50500i | 0.366752 | + | 0.211745i | ||||
\(275\) | 7.05237 | − | 9.30149i | 0.425274 | − | 0.560901i | ||||
\(276\) | 2.37038 | + | 1.99581i | 0.142680 | + | 0.120133i | ||||
\(277\) | 15.8963 | − | 8.09957i | 0.955116 | − | 0.486656i | 0.0942841 | − | 0.995545i | \(-0.469944\pi\) |
0.860832 | + | 0.508889i | \(0.169944\pi\) | |||||||
\(278\) | 2.22670 | + | 2.22670i | 0.133548 | + | 0.133548i | ||||
\(279\) | 0.0149537 | + | 16.7033i | 0.000895252 | + | 1.00000i | ||||
\(280\) | 0.0393158 | − | 3.85274i | 0.00234957 | − | 0.230245i | ||||
\(281\) | 11.6560 | + | 3.78725i | 0.695336 | + | 0.225928i | 0.635297 | − | 0.772268i | \(-0.280878\pi\) |
0.0600386 | + | 0.998196i | \(0.480878\pi\) | |||||||
\(282\) | −21.0618 | + | 1.80690i | −1.25421 | + | 0.107599i | ||||
\(283\) | 11.0362 | − | 1.74796i | 0.656032 | − | 0.103905i | 0.180460 | − | 0.983582i | \(-0.442241\pi\) |
0.475571 | + | 0.879677i | \(0.342241\pi\) | |||||||
\(284\) | −2.55959 | + | 4.43333i | −0.151884 | + | 0.263070i | ||||
\(285\) | 5.30158 | − | 21.7789i | 0.314039 | − | 1.29007i | ||||
\(286\) | 0.814714 | − | 7.75149i | 0.0481751 | − | 0.458355i | ||||
\(287\) | −0.0844444 | + | 0.533161i | −0.00498460 | + | 0.0314715i | ||||
\(288\) | 1.72901 | − | 2.45164i | 0.101883 | − | 0.144464i | ||||
\(289\) | −8.19517 | + | 7.37897i | −0.482069 | + | 0.434057i | ||||
\(290\) | 4.50511 | − | 11.3875i | 0.264549 | − | 0.668698i | ||||
\(291\) | −21.4425 | + | 5.30783i | −1.25698 | + | 0.311150i | ||||
\(292\) | −1.63436 | − | 2.51669i | −0.0956436 | − | 0.147278i | ||||
\(293\) | 3.22409 | + | 8.39904i | 0.188353 | + | 0.490677i | 0.994944 | − | 0.100433i | \(-0.0320229\pi\) |
−0.806590 | + | 0.591111i | \(0.798690\pi\) | |||||||
\(294\) | −2.37687 | − | 6.56481i | −0.138622 | − | 0.382867i | ||||
\(295\) | 3.94790 | + | 12.5860i | 0.229856 | + | 0.732784i | ||||
\(296\) | 1.91586 | − | 4.30310i | 0.111357 | − | 0.250113i | ||||
\(297\) | −9.46582 | + | 7.58632i | −0.549263 | + | 0.440203i | ||||
\(298\) | −8.49087 | + | 13.0748i | −0.491863 | + | 0.757402i | ||||
\(299\) | 5.45652 | − | 2.42940i | 0.315559 | − | 0.140496i | ||||
\(300\) | 0.342406 | − | 8.65348i | 0.0197688 | − | 0.499609i | ||||
\(301\) | 0.703089 | + | 6.68944i | 0.0405254 | + | 0.385573i | ||||
\(302\) | 0.698268 | − | 4.40869i | 0.0401808 | − | 0.253692i | ||||
\(303\) | −11.5025 | + | 9.96495i | −0.660800 | + | 0.572471i | ||||
\(304\) | −5.01213 | + | 2.89375i | −0.287465 | + | 0.165968i | ||||
\(305\) | 5.53386 | − | 9.36296i | 0.316868 | − | 0.536122i | ||||
\(306\) | 6.20432 | + | 3.90604i | 0.354677 | + | 0.223294i | ||||
\(307\) | 6.50922 | − | 0.341134i | 0.371501 | − | 0.0194695i | 0.134328 | − | 0.990937i | \(-0.457113\pi\) |
0.237173 | + | 0.971467i | \(0.423779\pi\) | |||||||
\(308\) | 3.58420 | − | 1.82624i | 0.204229 | − | 0.104060i | ||||
\(309\) | −0.519496 | − | 15.6320i | −0.0295531 | − | 0.889275i | ||||
\(310\) | 2.87259 | − | 12.1140i | 0.163152 | − | 0.688027i | ||||
\(311\) | − | 19.0475i | − | 1.08009i | −0.841637 | − | 0.540043i | \(-0.818408\pi\) | ||
0.841637 | − | 0.540043i | \(-0.181592\pi\) | |||||||
\(312\) | −2.79495 | − | 5.06234i | −0.158233 | − | 0.286599i | ||||
\(313\) | −0.546683 | − | 10.4313i | −0.0309004 | − | 0.589614i | −0.969573 | − | 0.244804i | \(-0.921277\pi\) |
0.938672 | − | 0.344810i | \(-0.112057\pi\) | |||||||
\(314\) | −6.38669 | − | 4.64020i | −0.360422 | − | 0.261862i | ||||
\(315\) | 3.61446 | + | 10.9792i | 0.203652 | + | 0.618605i | ||||
\(316\) | 0.0664383 | + | 0.115074i | 0.00373745 | + | 0.00647345i | ||||
\(317\) | −11.1853 | − | 13.8127i | −0.628230 | − | 0.775799i | 0.359302 | − | 0.933221i | \(-0.383015\pi\) |
−0.987531 | + | 0.157422i | \(0.949682\pi\) | |||||||
\(318\) | 0.701806 | − | 5.63717i | 0.0393554 | − | 0.316117i | ||||
\(319\) | 12.7156 | − | 1.33647i | 0.711939 | − | 0.0748278i | ||||
\(320\) | −1.67690 | + | 1.47919i | −0.0937418 | + | 0.0826891i | ||||
\(321\) | 12.5785 | + | 25.9006i | 0.702065 | + | 1.44563i | ||||
\(322\) | 2.58534 | + | 1.67894i | 0.144075 | + | 0.0935636i | ||||
\(323\) | −7.70320 | − | 11.8619i | −0.428618 | − | 0.660013i | ||||
\(324\) | −2.53902 | + | 8.63443i | −0.141057 | + | 0.479690i | ||||
\(325\) | −14.7159 | − | 7.88045i | −0.816291 | − | 0.437129i | ||||
\(326\) | 11.1987 | − | 3.63867i | 0.620236 | − | 0.201527i | ||||
\(327\) | −4.87373 | − | 11.5358i | −0.269518 | − | 0.637933i | ||||
\(328\) | 0.262738 | − | 0.170624i | 0.0145073 | − | 0.00942114i | ||||
\(329\) | −20.5703 | + | 4.37234i | −1.13407 | + | 0.241055i | ||||
\(330\) | 8.17317 | − | 3.86671i | 0.449918 | − | 0.212855i | ||||
\(331\) | 4.14519 | + | 4.60371i | 0.227841 | + | 0.253043i | 0.846216 | − | 0.532841i | \(-0.178875\pi\) |
−0.618375 | + | 0.785883i | \(0.712209\pi\) | |||||||
\(332\) | −5.64296 | − | 4.56958i | −0.309697 | − | 0.250788i | ||||
\(333\) | −1.27906 | + | 14.0730i | −0.0700920 | + | 0.771195i | ||||
\(334\) | −23.2903 | − | 2.44791i | −1.27439 | − | 0.133944i | ||||
\(335\) | −9.28259 | + | 33.2809i | −0.507162 | + | 1.81833i | ||||
\(336\) | 1.40557 | − | 2.63277i | 0.0766799 | − | 0.143629i | ||||
\(337\) | 1.78242 | + | 11.2537i | 0.0970944 | + | 0.613030i | 0.987470 | + | 0.157804i | \(0.0504414\pi\) |
−0.890376 | + | 0.455226i | \(0.849559\pi\) | |||||||
\(338\) | 1.85110 | − | 0.0970120i | 0.100687 | − | 0.00527676i | ||||
\(339\) | −2.57389 | + | 8.91944i | −0.139795 | + | 0.484438i | ||||
\(340\) | −3.82441 | − | 3.90326i | −0.207407 | − | 0.211684i | ||||
\(341\) | 12.5986 | − | 3.19835i | 0.682253 | − | 0.173201i | ||||
\(342\) | 11.4350 | − | 13.0652i | 0.618332 | − | 0.706484i | ||||
\(343\) | −8.62914 | − | 16.9356i | −0.465930 | − | 0.914439i | ||||
\(344\) | 2.61204 | − | 2.90096i | 0.140832 | − | 0.156409i | ||||
\(345\) | 5.69785 | + | 3.94262i | 0.306762 | + | 0.212264i | ||||
\(346\) | −2.29321 | + | 3.97195i | −0.123284 | + | 0.213534i | ||||
\(347\) | −16.7400 | − | 4.48547i | −0.898650 | − | 0.240793i | −0.220214 | − | 0.975452i | \(-0.570675\pi\) |
−0.678436 | + | 0.734659i | \(0.737342\pi\) | |||||||
\(348\) | 7.16961 | − | 6.21126i | 0.384331 | − | 0.332958i | ||||
\(349\) | 2.28834 | + | 3.14963i | 0.122492 | + | 0.168596i | 0.865859 | − | 0.500288i | \(-0.166772\pi\) |
−0.743367 | + | 0.668884i | \(0.766772\pi\) | |||||||
\(350\) | −0.725517 | − | 8.58483i | −0.0387805 | − | 0.458879i | ||||
\(351\) | 12.8332 | + | 11.6731i | 0.684984 | + | 0.623065i | ||||
\(352\) | −2.17950 | − | 0.836630i | −0.116167 | − | 0.0445925i | ||||
\(353\) | 20.3449 | + | 13.2121i | 1.08285 | + | 0.703210i | 0.957364 | − | 0.288885i | \(-0.0932847\pi\) |
0.125485 | + | 0.992096i | \(0.459951\pi\) | |||||||
\(354\) | −1.79120 | + | 10.0592i | −0.0952011 | + | 0.534640i | ||||
\(355\) | −4.76231 | + | 10.4091i | −0.252757 | + | 0.552460i | ||||
\(356\) | 12.0624 | − | 3.91931i | 0.639306 | − | 0.207723i | ||||
\(357\) | 6.60499 | + | 3.09353i | 0.349573 | + | 0.163727i | ||||
\(358\) | −5.05335 | + | 1.93980i | −0.267078 | + | 0.102522i | ||||
\(359\) | −20.5990 | − | 4.37844i | −1.08717 | − | 0.231085i | −0.370736 | − | 0.928738i | \(-0.620894\pi\) |
−0.716436 | + | 0.697653i | \(0.754228\pi\) | |||||||
\(360\) | 3.33155 | − | 5.82244i | 0.175588 | − | 0.306869i | ||||
\(361\) | −13.2420 | + | 5.89574i | −0.696949 | + | 0.310302i | ||||
\(362\) | 8.54338 | + | 0.447739i | 0.449030 | + | 0.0235327i | ||||
\(363\) | −7.66722 | − | 5.79796i | −0.402425 | − | 0.304314i | ||||
\(364\) | −3.38137 | − | 4.65405i | −0.177232 | − | 0.243939i | ||||
\(365\) | −4.16932 | − | 5.25748i | −0.218232 | − | 0.275189i | ||||
\(366\) | 7.15195 | − | 4.45228i | 0.373838 | − | 0.232725i | ||||
\(367\) | −3.25236 | + | 0.871467i | −0.169772 | + | 0.0454902i | −0.342704 | − | 0.939444i | \(-0.611343\pi\) |
0.172932 | + | 0.984934i | \(0.444676\pi\) | |||||||
\(368\) | −0.279867 | − | 1.76701i | −0.0145891 | − | 0.0921117i | ||||
\(369\) | −0.581116 | + | 0.738647i | −0.0302517 | + | 0.0384524i | ||||
\(370\) | 3.35680 | − | 9.98338i | 0.174512 | − | 0.519011i | ||||
\(371\) | − | 5.65128i | − | 0.293400i | ||||||
\(372\) | 6.30800 | − | 7.29446i | 0.327054 | − | 0.378200i | ||||
\(373\) | 26.5823 | − | 26.5823i | 1.37638 | − | 1.37638i | 0.525720 | − | 0.850658i | \(-0.323796\pi\) |
0.850658 | − | 0.525720i | \(-0.176204\pi\) | |||||||
\(374\) | 1.76302 | − | 5.42602i | 0.0911637 | − | 0.280573i | ||||
\(375\) | −1.06391 | − | 19.3357i | −0.0549399 | − | 0.998490i | ||||
\(376\) | 9.87383 | + | 7.17376i | 0.509204 | + | 0.369958i | ||||
\(377\) | −4.73241 | − | 17.6616i | −0.243732 | − | 0.909618i | ||||
\(378\) | −1.44533 | + | 8.83599i | −0.0743400 | + | 0.454474i | ||||
\(379\) | −6.88033 | − | 0.723152i | −0.353419 | − | 0.0371458i | −0.0738443 | − | 0.997270i | \(-0.523527\pi\) |
−0.279575 | + | 0.960124i | \(0.590193\pi\) | |||||||
\(380\) | −10.5468 | + | 7.49945i | −0.541038 | + | 0.384714i | ||||
\(381\) | −2.45173 | − | 17.6610i | −0.125606 | − | 0.904800i | ||||
\(382\) | −0.0490416 | + | 0.935770i | −0.00250919 | + | 0.0478782i | ||||
\(383\) | −17.2160 | − | 6.60862i | −0.879699 | − | 0.337685i | −0.123749 | − | 0.992314i | \(-0.539492\pi\) |
−0.755950 | + | 0.654629i | \(0.772825\pi\) | |||||||
\(384\) | −1.68131 | + | 0.416187i | −0.0857988 | + | 0.0212384i | ||||
\(385\) | 7.59336 | − | 4.82174i | 0.386993 | − | 0.245739i | ||||
\(386\) | 7.91179 | − | 17.7702i | 0.402700 | − | 0.904478i | ||||
\(387\) | −4.61213 | + | 10.7644i | −0.234448 | + | 0.547187i | ||||
\(388\) | 11.3634 | + | 5.78995i | 0.576891 | + | 0.293940i | ||||
\(389\) | 16.8395 | + | 7.49745i | 0.853799 | + | 0.380136i | 0.786495 | − | 0.617597i | \(-0.211894\pi\) |
0.0673038 | + | 0.997733i | \(0.478560\pi\) | |||||||
\(390\) | −7.29011 | − | 10.6794i | −0.369149 | − | 0.540773i | ||||
\(391\) | 4.27656 | − | 0.909011i | 0.216275 | − | 0.0459706i | ||||
\(392\) | −1.44457 | + | 3.76324i | −0.0729619 | + | 0.190072i | ||||
\(393\) | 0.170762 | − | 8.92099i | 0.00861382 | − | 0.450004i | ||||
\(394\) | −5.77317 | + | 0.606785i | −0.290848 | + | 0.0305694i | ||||
\(395\) | 0.172181 | + | 0.242146i | 0.00866339 | + | 0.0121837i | ||||
\(396\) | 6.99854 | + | 0.268025i | 0.351690 | + | 0.0134688i | ||||
\(397\) | −1.46210 | + | 5.45664i | −0.0733809 | + | 0.273861i | −0.992861 | − | 0.119275i | \(-0.961943\pi\) |
0.919480 | + | 0.393136i | \(0.128610\pi\) | |||||||
\(398\) | −26.6842 | + | 7.15000i | −1.33756 | + | 0.358397i | ||||
\(399\) | 9.68288 | − | 14.3034i | 0.484750 | − | 0.716065i | ||||
\(400\) | −3.42078 | + | 3.64668i | −0.171039 | + | 0.182334i | ||||
\(401\) | 18.9638 | + | 6.16171i | 0.947007 | + | 0.307701i | 0.741499 | − | 0.670954i | \(-0.234115\pi\) |
0.205508 | + | 0.978655i | \(0.434115\pi\) | |||||||
\(402\) | −18.2855 | + | 19.5426i | −0.911996 | + | 0.974696i | ||||
\(403\) | −7.33611 | − | 17.0798i | −0.365438 | − | 0.850804i | ||||
\(404\) | 8.78649 | 0.437144 | ||||||||
\(405\) | −3.82998 | + | 19.7568i | −0.190313 | + | 0.981723i | ||||
\(406\) | 6.31448 | − | 7.01294i | 0.313382 | − | 0.348046i | ||||
\(407\) | 10.8611 | − | 1.72024i | 0.538367 | − | 0.0852689i | ||||
\(408\) | −1.23074 | − | 4.04996i | −0.0609305 | − | 0.200503i | ||||
\(409\) | −6.26964 | + | 3.61978i | −0.310014 | + | 0.178987i | −0.646933 | − | 0.762547i | \(-0.723949\pi\) |
0.336919 | + | 0.941534i | \(0.390615\pi\) | |||||||
\(410\) | 0.548871 | − | 0.435269i | 0.0271068 | − | 0.0214964i | ||||
\(411\) | 7.45902 | + | 9.58035i | 0.367926 | + | 0.472564i | ||||
\(412\) | −5.68285 | + | 7.01773i | −0.279974 | + | 0.345739i | ||||
\(413\) | −0.531971 | + | 10.1506i | −0.0261766 | + | 0.499479i | ||||
\(414\) | 2.50371 | + | 4.74734i | 0.123051 | + | 0.233319i | ||||
\(415\) | −13.5260 | − | 8.98145i | −0.663966 | − | 0.440882i | ||||
\(416\) | −0.694137 | + | 3.26566i | −0.0340329 | + | 0.160112i | ||||
\(417\) | 2.12269 | + | 5.02427i | 0.103948 | + | 0.246040i | ||||
\(418\) | −12.0386 | − | 6.13398i | −0.588828 | − | 0.300023i | ||||
\(419\) | 1.68164 | + | 5.17556i | 0.0821535 | + | 0.252842i | 0.983693 | − | 0.179853i | \(-0.0575624\pi\) |
−0.901540 | + | 0.432696i | \(0.857562\pi\) | |||||||
\(420\) | 2.57333 | − | 6.15739i | 0.125565 | − | 0.300450i | ||||
\(421\) | −6.26754 | − | 1.33221i | −0.305461 | − | 0.0649278i | 0.0526309 | − | 0.998614i | \(-0.483239\pi\) |
−0.358092 | + | 0.933686i | \(0.616573\pi\) | |||||||
\(422\) | −0.891981 | + | 1.37353i | −0.0434210 | + | 0.0668624i | ||||
\(423\) | −34.9780 | − | 10.8230i | −1.70069 | − | 0.526230i | ||||
\(424\) | −2.43732 | + | 2.19458i | −0.118367 | + | 0.106578i | ||||
\(425\) | −9.33716 | − | 7.88195i | −0.452919 | − | 0.382331i | ||||
\(426\) | −6.99622 | + | 5.44708i | −0.338968 | + | 0.263912i | ||||
\(427\) | 6.51323 | − | 5.27431i | 0.315197 | − | 0.255242i | ||||
\(428\) | 4.30257 | − | 16.0574i | 0.207973 | − | 0.776165i | ||||
\(429\) | 6.35792 | − | 11.9090i | 0.306963 | − | 0.574973i | ||||
\(430\) | 5.20244 | − | 7.00901i | 0.250884 | − | 0.338004i | ||||
\(431\) | −12.3854 | − | 11.1519i | −0.596585 | − | 0.537167i | 0.314569 | − | 0.949235i | \(-0.398140\pi\) |
−0.911153 | + | 0.412068i | \(0.864807\pi\) | |||||||
\(432\) | 4.37212 | − | 2.80795i | 0.210354 | − | 0.135098i | ||||
\(433\) | 11.5425 | − | 11.5425i | 0.554699 | − | 0.554699i | −0.373094 | − | 0.927793i | \(-0.621703\pi\) |
0.927793 | + | 0.373094i | \(0.121703\pi\) | |||||||
\(434\) | 5.33076 | − | 7.97639i | 0.255885 | − | 0.382879i | ||||
\(435\) | 14.6494 | − | 15.3398i | 0.702386 | − | 0.735487i | ||||
\(436\) | −2.23426 | + | 6.87636i | −0.107002 | + | 0.329318i | ||||
\(437\) | −0.541889 | − | 10.3399i | −0.0259221 | − | 0.494623i | ||||
\(438\) | −0.983137 | − | 5.10373i | −0.0469761 | − | 0.243866i | ||||
\(439\) | 20.1638 | + | 11.6416i | 0.962364 | + | 0.555621i | 0.896900 | − | 0.442234i | \(-0.145814\pi\) |
0.0654643 | + | 0.997855i | \(0.479147\pi\) | |||||||
\(440\) | −5.02830 | − | 1.40248i | −0.239715 | − | 0.0668604i | ||||
\(441\) | 0.462787 | − | 12.0841i | 0.0220375 | − | 0.575431i | ||||
\(442\) | −8.05856 | − | 1.27635i | −0.383307 | − | 0.0607098i | ||||
\(443\) | −13.1119 | + | 16.1919i | −0.622966 | + | 0.769299i | −0.986761 | − | 0.162180i | \(-0.948147\pi\) |
0.363795 | + | 0.931479i | \(0.381481\pi\) | |||||||
\(444\) | 5.87830 | − | 5.65749i | 0.278972 | − | 0.268492i | ||||
\(445\) | 26.0249 | − | 11.2702i | 1.23370 | − | 0.534261i | ||||
\(446\) | 3.86587 | + | 18.1875i | 0.183054 | + | 0.861203i | ||||
\(447\) | −22.1452 | + | 15.4507i | −1.04743 | + | 0.730792i | ||||
\(448\) | −1.60864 | + | 0.617499i | −0.0760011 | + | 0.0291741i | ||||
\(449\) | −6.86317 | − | 21.1227i | −0.323893 | − | 0.996840i | −0.971938 | − | 0.235238i | \(-0.924413\pi\) |
0.648045 | − | 0.761602i | \(-0.275587\pi\) | |||||||
\(450\) | 6.18763 | − | 13.6643i | 0.291688 | − | 0.644141i | ||||
\(451\) | 0.668138 | + | 0.297474i | 0.0314614 | + | 0.0140075i | ||||
\(452\) | 4.49508 | − | 2.91914i | 0.211431 | − | 0.137305i | ||||
\(453\) | 3.99306 | − | 6.62026i | 0.187610 | − | 0.311047i | ||||
\(454\) | −8.31947 | − | 18.6858i | −0.390452 | − | 0.876969i | ||||
\(455\) | −8.50936 | − | 9.64677i | −0.398925 | − | 0.452247i | ||||
\(456\) | −9.92904 | + | 1.37837i | −0.464970 | + | 0.0645480i | ||||
\(457\) | −31.9054 | − | 5.05331i | −1.49247 | − | 0.236384i | −0.643754 | − | 0.765233i | \(-0.722624\pi\) |
−0.848716 | + | 0.528849i | \(0.822624\pi\) | |||||||
\(458\) | 5.54558 | − | 4.49072i | 0.259128 | − | 0.209838i | ||||
\(459\) | 7.41194 | + | 10.3109i | 0.345960 | + | 0.481273i | ||||
\(460\) | −0.995897 | − | 3.87446i | −0.0464340 | − | 0.180648i | ||||
\(461\) | −16.6883 | + | 22.9695i | −0.777251 | + | 1.06979i | 0.218329 | + | 0.975875i | \(0.429940\pi\) |
−0.995580 | + | 0.0939191i | \(0.970060\pi\) | |||||||
\(462\) | 6.94192 | − | 0.595547i | 0.322967 | − | 0.0277074i | ||||
\(463\) | −17.3892 | − | 34.1282i | −0.808143 | − | 1.58607i | −0.810258 | − | 0.586073i | \(-0.800673\pi\) |
0.00211489 | − | 0.999998i | \(-0.499327\pi\) | |||||||
\(464\) | −5.47671 | −0.254250 | ||||||||
\(465\) | 12.5028 | − | 17.5693i | 0.579804 | − | 0.814756i | ||||
\(466\) | 27.7426 | 1.28515 | ||||||||
\(467\) | 17.9315 | + | 35.1925i | 0.829770 | + | 1.62852i | 0.776654 | + | 0.629927i | \(0.216915\pi\) |
0.0531155 | + | 0.998588i | \(0.483085\pi\) | |||||||
\(468\) | −1.18710 | − | 9.94525i | −0.0548735 | − | 0.459719i | ||||
\(469\) | −15.6496 | + | 21.5398i | −0.722632 | + | 0.994618i | ||||
\(470\) | 23.4939 | + | 13.8858i | 1.08369 | + | 0.640502i | ||||
\(471\) | −7.22628 | − | 11.6080i | −0.332969 | − | 0.534867i | ||||
\(472\) | 4.58441 | − | 3.71238i | 0.211014 | − | 0.170876i | ||||
\(473\) | 9.00104 | + | 1.42562i | 0.413868 | + | 0.0655503i | ||||
\(474\) | 0.0316462 | + | 0.227963i | 0.00145356 | + | 0.0104707i | ||||
\(475\) | −21.8954 | + | 18.9201i | −1.00463 | + | 0.868114i | ||||
\(476\) | −1.71274 | − | 3.84688i | −0.0785033 | − | 0.176321i | ||||
\(477\) | 4.79915 | − | 8.58945i | 0.219738 | − | 0.393284i | ||||
\(478\) | 23.6657 | − | 15.3687i | 1.08244 | − | 0.702948i | ||||
\(479\) | −2.40039 | − | 1.06872i | −0.109677 | − | 0.0488312i | 0.351165 | − | 0.936314i | \(-0.385786\pi\) |
−0.460841 | + | 0.887482i | \(0.652452\pi\) | |||||||
\(480\) | −3.65491 | + | 1.28127i | −0.166823 | + | 0.0584818i | ||||
\(481\) | −4.85960 | − | 14.9563i | −0.221578 | − | 0.681948i | ||||
\(482\) | −2.88180 | + | 1.10622i | −0.131262 | + | 0.0503868i | ||||
\(483\) | 3.05513 | + | 4.37888i | 0.139013 | + | 0.199246i | ||||
\(484\) | 1.15388 | + | 5.42857i | 0.0524490 | + | 0.246753i | ||||
\(485\) | 26.5178 | + | 10.4909i | 1.20411 | + | 0.476369i | ||||
\(486\) | −9.70042 | + | 12.2025i | −0.440020 | + | 0.553518i | ||||
\(487\) | −5.12353 | + | 6.32703i | −0.232169 | + | 0.286705i | −0.879895 | − | 0.475169i | \(-0.842387\pi\) |
0.647726 | + | 0.761874i | \(0.275720\pi\) | |||||||
\(488\) | −4.80404 | − | 0.760885i | −0.217469 | − | 0.0344436i | ||||
\(489\) | 20.3427 | + | 1.45697i | 0.919930 | + | 0.0658866i | ||||
\(490\) | −2.42159 | + | 8.68214i | −0.109396 | + | 0.392219i | ||||
\(491\) | 5.72142 | + | 3.30326i | 0.258204 | + | 0.149074i | 0.623515 | − | 0.781811i | \(-0.285704\pi\) |
−0.365311 | + | 0.930886i | \(0.619037\pi\) | |||||||
\(492\) | 0.532820 | − | 0.102638i | 0.0240214 | − | 0.00462727i | ||||
\(493\) | −0.700472 | − | 13.3658i | −0.0315477 | − | 0.601966i | ||||
\(494\) | −5.97091 | + | 18.3766i | −0.268644 | + | 0.826801i | ||||
\(495\) | 15.6359 | − | 0.880243i | 0.702782 | − | 0.0395640i | ||||
\(496\) | −5.51022 | + | 0.798404i | −0.247416 | + | 0.0358494i | ||||
\(497\) | −6.23723 | + | 6.23723i | −0.279778 | + | 0.279778i | ||||
\(498\) | −6.07872 | − | 11.0100i | −0.272394 | − | 0.493372i | ||||
\(499\) | −15.4531 | − | 13.9140i | −0.691775 | − | 0.622877i | 0.246347 | − | 0.969182i | \(-0.420770\pi\) |
−0.938122 | + | 0.346305i | \(0.887436\pi\) | |||||||
\(500\) | −6.84541 | + | 8.83970i | −0.306136 | + | 0.395323i | ||||
\(501\) | −35.7821 | − | 19.1031i | −1.59863 | − | 0.853465i | ||||
\(502\) | 5.22067 | − | 19.4838i | 0.233010 | − | 0.869604i | ||||
\(503\) | 12.2162 | − | 9.89249i | 0.544694 | − | 0.441085i | −0.317064 | − | 0.948404i | \(-0.602697\pi\) |
0.861758 | + | 0.507320i | \(0.169364\pi\) | |||||||
\(504\) | 3.97107 | − | 3.30936i | 0.176885 | − | 0.147411i | ||||
\(505\) | 19.5595 | − | 1.85420i | 0.870386 | − | 0.0825108i | ||||
\(506\) | 3.10382 | − | 2.79469i | 0.137982 | − | 0.124239i | ||||
\(507\) | 3.03391 | + | 1.05039i | 0.134741 | + | 0.0466492i | ||||
\(508\) | −5.60671 | + | 8.63358i | −0.248758 | + | 0.383053i | ||||
\(509\) | 11.6328 | + | 2.47262i | 0.515614 | + | 0.109597i | 0.458367 | − | 0.888763i | \(-0.348435\pi\) |
0.0572466 | + | 0.998360i | \(0.481768\pi\) | |||||||
\(510\) | −3.59438 | − | 8.75586i | −0.159162 | − | 0.387716i | ||||
\(511\) | −1.59782 | − | 4.91759i | −0.0706834 | − | 0.217541i | ||||
\(512\) | 0.891007 | + | 0.453990i | 0.0393773 | + | 0.0200637i | ||||
\(513\) | 26.8637 | − | 13.5170i | 1.18606 | − | 0.596792i | ||||
\(514\) | −3.89619 | + | 18.3301i | −0.171853 | + | 0.808506i | ||||
\(515\) | −11.1696 | + | 16.8213i | −0.492190 | + | 0.741236i | ||||
\(516\) | 6.08199 | − | 2.95370i | 0.267745 | − | 0.130029i | ||||
\(517\) | −1.49119 | + | 28.4536i | −0.0655824 | + | 1.25139i | ||||
\(518\) | 5.10776 | − | 6.30755i | 0.224422 | − | 0.277138i | ||||
\(519\) | −6.26812 | + | 4.88020i | −0.275140 | + | 0.214217i | ||||
\(520\) | −0.856064 | + | 7.41613i | −0.0375409 | + | 0.325219i | ||||
\(521\) | −25.9297 | + | 14.9705i | −1.13600 | + | 0.655870i | −0.945437 | − | 0.325804i | \(-0.894365\pi\) |
−0.190564 | + | 0.981675i | \(0.561032\pi\) | |||||||
\(522\) | 15.5529 | − | 5.29671i | 0.680734 | − | 0.231831i | ||||
\(523\) | 21.9252 | − | 3.47262i | 0.958723 | − | 0.151847i | 0.342587 | − | 0.939486i | \(-0.388697\pi\) |
0.616137 | + | 0.787639i | \(0.288697\pi\) | |||||||
\(524\) | −3.44701 | + | 3.82829i | −0.150583 | + | 0.167240i | ||||
\(525\) | 4.42906 | − | 14.2499i | 0.193300 | − | 0.621918i | ||||
\(526\) | 27.9888 | 1.22037 | ||||||||
\(527\) | −2.65325 | − | 13.3455i | −0.115577 | − | 0.581338i | ||||
\(528\) | −2.95263 | − | 2.76269i | −0.128497 | − | 0.120231i | ||||
\(529\) | −18.8303 | − | 6.11834i | −0.818709 | − | 0.266015i | ||||
\(530\) | −4.96258 | + | 5.39967i | −0.215561 | + | 0.234547i | ||||
\(531\) | −9.42858 | + | 14.9763i | −0.409165 | + | 0.649915i | ||||
\(532\) | −9.63257 | + | 2.58104i | −0.417625 | + | 0.111902i | ||||
\(533\) | 0.270704 | − | 1.01028i | 0.0117255 | − | 0.0437601i | ||||
\(534\) | 21.9118 | + | 1.56935i | 0.948215 | + | 0.0679123i | ||||
\(535\) | 6.18933 | − | 36.6532i | 0.267588 | − | 1.58466i | ||||
\(536\) | 15.3671 | − | 1.61515i | 0.663758 | − | 0.0697638i | ||||
\(537\) | −9.37365 | − | 0.179427i | −0.404503 | − | 0.00774285i | ||||
\(538\) | −6.24885 | + | 16.2788i | −0.269407 | + | 0.701829i | ||||
\(539\) | −9.20489 | + | 1.95656i | −0.396482 | + | 0.0842749i | ||||
\(540\) | 9.14016 | − | 7.17338i | 0.393330 | − | 0.308693i | ||||
\(541\) | −33.2072 | − | 14.7848i | −1.42769 | − | 0.635648i | −0.460029 | − | 0.887904i | \(-0.652161\pi\) |
−0.967661 | + | 0.252256i | \(0.918828\pi\) | |||||||
\(542\) | 28.9667 | + | 14.7593i | 1.24423 | + | 0.633965i | ||||
\(543\) | 13.4190 | + | 6.28494i | 0.575863 | + | 0.269712i | ||||
\(544\) | −0.993995 | + | 2.23255i | −0.0426172 | + | 0.0957198i | ||||
\(545\) | −3.52256 | + | 15.7789i | −0.150890 | + | 0.675893i | ||||
\(546\) | −2.39421 | − | 9.67209i | −0.102463 | − | 0.413927i | ||||
\(547\) | −0.913145 | − | 0.350524i | −0.0390433 | − | 0.0149873i | 0.338768 | − | 0.940870i | \(-0.389990\pi\) |
−0.377811 | + | 0.925883i | \(0.623323\pi\) | |||||||
\(548\) | 0.366875 | − | 7.00039i | 0.0156721 | − | 0.299042i | ||||
\(549\) | 14.3785 | − | 2.48536i | 0.613661 | − | 0.106073i | ||||
\(550\) | −11.4894 | − | 2.06092i | −0.489910 | − | 0.0878779i | ||||
\(551\) | −31.5228 | − | 3.31318i | −1.34292 | − | 0.141146i | ||||
\(552\) | 0.702145 | − | 3.01810i | 0.0298853 | − | 0.128459i | ||||
\(553\) | 0.0592587 | + | 0.221156i | 0.00251993 | + | 0.00940452i | ||||
\(554\) | −14.4335 | − | 10.4866i | −0.613222 | − | 0.445532i | ||||
\(555\) | 11.8917 | − | 13.8346i | 0.504776 | − | 0.587244i | ||||
\(556\) | 0.973102 | − | 2.99490i | 0.0412687 | − | 0.127012i | ||||
\(557\) | −0.784001 | + | 0.784001i | −0.0332192 | + | 0.0332192i | −0.723521 | − | 0.690302i | \(-0.757478\pi\) |
0.690302 | + | 0.723521i | \(0.257478\pi\) | |||||||
\(558\) | 14.8759 | − | 7.59646i | 0.629749 | − | 0.321584i | ||||
\(559\) | − | 13.0327i | − | 0.551225i | ||||||
\(560\) | −3.45066 | + | 1.71408i | −0.145817 | + | 0.0724329i | ||||
\(561\) | 6.36465 | − | 7.55918i | 0.268716 | − | 0.319149i | ||||
\(562\) | −1.91723 | − | 12.1049i | −0.0808734 | − | 0.510615i | ||||
\(563\) | 17.1416 | − | 4.59309i | 0.722434 | − | 0.193575i | 0.121176 | − | 0.992631i | \(-0.461333\pi\) |
0.601257 | + | 0.799056i | \(0.294667\pi\) | |||||||
\(564\) | 11.1718 | + | 17.9459i | 0.470419 | + | 0.755660i | ||||
\(565\) | 9.39042 | − | 7.44685i | 0.395058 | − | 0.313291i | ||||
\(566\) | −6.56775 | − | 9.03974i | −0.276063 | − | 0.379968i | ||||
\(567\) | −8.07656 | + | 13.2386i | −0.339184 | + | 0.555969i | ||||
\(568\) | 5.11216 | + | 0.267917i | 0.214501 | + | 0.0112415i | ||||
\(569\) | −1.28464 | + | 0.571959i | −0.0538550 | + | 0.0239778i | −0.433487 | − | 0.901160i | \(-0.642717\pi\) |
0.379632 | + | 0.925137i | \(0.376050\pi\) | |||||||
\(570\) | −21.8120 | + | 5.16368i | −0.913605 | + | 0.216283i | ||||
\(571\) | 27.7205 | + | 5.89217i | 1.16007 | + | 0.246580i | 0.747445 | − | 0.664323i | \(-0.231280\pi\) |
0.412621 | + | 0.910903i | \(0.364613\pi\) | |||||||
\(572\) | −7.27650 | + | 2.79319i | −0.304246 | + | 0.116789i | ||||
\(573\) | −0.688399 | + | 1.46980i | −0.0287583 | + | 0.0614019i | ||||
\(574\) | 0.513387 | − | 0.166810i | 0.0214284 | − | 0.00696250i | ||||
\(575\) | −3.03458 | − | 8.41472i | −0.126551 | − | 0.350918i | ||||
\(576\) | −2.96938 | − | 0.427535i | −0.123724 | − | 0.0178139i | ||||
\(577\) | −15.0268 | − | 9.75855i | −0.625576 | − | 0.406254i | 0.192555 | − | 0.981286i | \(-0.438323\pi\) |
−0.818130 | + | 0.575033i | \(0.804989\pi\) | |||||||
\(578\) | 10.2952 | + | 3.95197i | 0.428225 | + | 0.164380i | ||||
\(579\) | 24.2752 | − | 23.3633i | 1.00884 | − | 0.970945i | ||||
\(580\) | −12.1916 | + | 1.15574i | −0.506230 | + | 0.0479895i | ||||
\(581\) | −7.35411 | − | 10.1221i | −0.305100 | − | 0.419934i | ||||
\(582\) | 14.4640 | + | 16.6957i | 0.599552 | + | 0.692059i | ||||
\(583\) | −7.39585 | − | 1.98171i | −0.306305 | − | 0.0820741i | ||||
\(584\) | −1.50041 | + | 2.59878i | −0.0620872 | + | 0.107538i | ||||
\(585\) | −4.74131 | − | 21.8885i | −0.196029 | − | 0.904978i | ||||
\(586\) | 6.01990 | − | 6.68577i | 0.248680 | − | 0.276187i | ||||
\(587\) | 11.3298 | + | 22.2360i | 0.467631 | + | 0.917778i | 0.997565 | + | 0.0697392i | \(0.0222167\pi\) |
−0.529934 | + | 0.848039i | \(0.677783\pi\) | |||||||
\(588\) | −4.77021 | + | 5.09817i | −0.196720 | + | 0.210245i | ||||
\(589\) | −32.1987 | + | 1.26200i | −1.32673 | + | 0.0519996i | ||||
\(590\) | 9.42187 | − | 9.23152i | 0.387892 | − | 0.380056i | ||||
\(591\) | −9.66033 | − | 2.78769i | −0.397373 | − | 0.114670i | ||||
\(592\) | −4.70387 | + | 0.246520i | −0.193328 | + | 0.0101319i | ||||
\(593\) | 0.0823077 | + | 0.519670i | 0.00337997 | + | 0.0213403i | 0.989321 | − | 0.145755i | \(-0.0465612\pi\) |
−0.985941 | + | 0.167095i | \(0.946561\pi\) | |||||||
\(594\) | 11.0569 | + | 4.98999i | 0.453668 | + | 0.204742i | ||||
\(595\) | −4.62451 | − | 8.20205i | −0.189586 | − | 0.336251i | ||||
\(596\) | 15.5045 | + | 1.62959i | 0.635089 | + | 0.0667505i | ||||
\(597\) | −47.4822 | − | 5.91136i | −1.94332 | − | 0.241936i | ||||
\(598\) | −4.64182 | − | 3.75887i | −0.189818 | − | 0.153712i | ||||
\(599\) | −16.5197 | − | 18.3470i | −0.674977 | − | 0.749638i | 0.304209 | − | 0.952605i | \(-0.401608\pi\) |
−0.979185 | + | 0.202968i | \(0.934941\pi\) | |||||||
\(600\) | −7.86576 | + | 3.62351i | −0.321118 | + | 0.147929i | ||||
\(601\) | −35.6968 | + | 7.58758i | −1.45610 | + | 0.309504i | −0.866900 | − | 0.498482i | \(-0.833891\pi\) |
−0.589202 | + | 0.807986i | \(0.700558\pi\) | |||||||
\(602\) | 5.64114 | − | 3.66340i | 0.229916 | − | 0.149309i | ||||
\(603\) | −42.0780 | + | 19.4488i | −1.71355 | + | 0.792017i | ||||
\(604\) | −4.24518 | + | 1.37934i | −0.172734 | + | 0.0561247i | ||||
\(605\) | 3.71422 | + | 11.8410i | 0.151004 | + | 0.481404i | ||||
\(606\) | 14.1009 | + | 5.72479i | 0.572808 | + | 0.232554i | ||||
\(607\) | 24.3097 | + | 37.4336i | 0.986698 | + | 1.51938i | 0.848649 | + | 0.528957i | \(0.177417\pi\) |
0.138050 | + | 0.990425i | \(0.455917\pi\) | |||||||
\(608\) | 4.85381 | + | 3.15210i | 0.196848 | + | 0.127835i | ||||
\(609\) | 14.7029 | − | 7.14044i | 0.595793 | − | 0.289345i | ||||
\(610\) | −10.8548 | − | 0.680008i | −0.439497 | − | 0.0275327i | ||||
\(611\) | 40.5237 | − | 4.25921i | 1.63941 | − | 0.172309i | ||||
\(612\) | 0.663606 | − | 7.30140i | 0.0268247 | − | 0.295141i | ||||
\(613\) | −7.43758 | − | 9.18465i | −0.300401 | − | 0.370965i | 0.604486 | − | 0.796616i | \(-0.293378\pi\) |
−0.904887 | + | 0.425651i | \(0.860045\pi\) | |||||||
\(614\) | −3.25908 | − | 5.64488i | −0.131526 | − | 0.227809i | ||||
\(615\) | 1.16444 | − | 0.340921i | 0.0469549 | − | 0.0137473i | ||||
\(616\) | −3.25439 | − | 2.36445i | −0.131123 | − | 0.0952664i | ||||
\(617\) | −0.839078 | − | 16.0106i | −0.0337800 | − | 0.644561i | −0.962086 | − | 0.272745i | \(-0.912069\pi\) |
0.928306 | − | 0.371816i | \(-0.121265\pi\) | |||||||
\(618\) | −13.6924 | + | 7.55966i | −0.550789 | + | 0.304094i | ||||
\(619\) | − | 38.2724i | − | 1.53830i | −0.639070 | − | 0.769149i | \(-0.720681\pi\) | ||
0.639070 | − | 0.769149i | \(-0.279319\pi\) | |||||||
\(620\) | −12.0978 | + | 2.94013i | −0.485857 | + | 0.118079i | ||||
\(621\) | 0.924932 | + | 9.24997i | 0.0371163 | + | 0.371189i | ||||
\(622\) | −16.9715 | + | 8.64740i | −0.680494 | + | 0.346729i | ||||
\(623\) | 21.8242 | − | 1.14376i | 0.874370 | − | 0.0458238i | ||||
\(624\) | −3.24170 | + | 4.78858i | −0.129772 | + | 0.191697i | ||||
\(625\) | −13.3731 | + | 21.1225i | −0.534922 | + | 0.844901i | ||||
\(626\) | −9.04620 | + | 5.22283i | −0.361559 | + | 0.208746i | ||||
\(627\) | −15.3234 | − | 17.6877i | −0.611958 | − | 0.706379i | ||||
\(628\) | −1.23495 | + | 7.79719i | −0.0492800 | + | 0.311142i | ||||
\(629\) | −1.20325 | − | 11.4482i | −0.0479768 | − | 0.456469i | ||||
\(630\) | 8.14157 | − | 8.20494i | 0.324368 | − | 0.326893i | ||||
\(631\) | −31.6625 | + | 14.0970i | −1.26046 | + | 0.561194i | −0.924680 | − | 0.380745i | \(-0.875668\pi\) |
−0.335783 | + | 0.941939i | \(0.609001\pi\) | |||||||
\(632\) | 0.0723698 | − | 0.111440i | 0.00287872 | − | 0.00443283i | ||||
\(633\) | −2.32640 | + | 1.62312i | −0.0924660 | + | 0.0645133i | ||||
\(634\) | −7.22919 | + | 16.2370i | −0.287108 | + | 0.644855i | ||||
\(635\) | −10.6591 | + | 20.4023i | −0.422994 | + | 0.809640i | ||||
\(636\) | −5.34136 | + | 1.93391i | −0.211799 | + | 0.0766843i | ||||
\(637\) | 4.82287 | + | 12.5640i | 0.191089 | + | 0.497804i | ||||
\(638\) | −6.96358 | − | 10.7230i | −0.275691 | − | 0.424527i | ||||
\(639\) | −14.7768 | + | 4.18330i | −0.584561 | + | 0.165489i | ||||
\(640\) | 2.07926 | + | 0.822595i | 0.0821901 | + | 0.0325159i | ||||
\(641\) | −3.17678 | + | 2.86039i | −0.125475 | + | 0.112979i | −0.729480 | − | 0.684003i | \(-0.760238\pi\) |
0.604004 | + | 0.796981i | \(0.293571\pi\) | |||||||
\(642\) | 17.3670 | − | 22.9662i | 0.685422 | − | 0.906402i | ||||
\(643\) | −6.17182 | + | 38.9673i | −0.243393 | + | 1.53672i | 0.498908 | + | 0.866655i | \(0.333735\pi\) |
−0.742301 | + | 0.670067i | \(0.766265\pi\) | |||||||
\(644\) | 0.322226 | − | 3.06578i | 0.0126975 | − | 0.120809i | ||||
\(645\) | 12.9157 | − | 7.85867i | 0.508556 | − | 0.309435i | ||||
\(646\) | −7.07184 | + | 12.2488i | −0.278238 | + | 0.481922i | ||||
\(647\) | 34.6453 | − | 5.48727i | 1.36205 | − | 0.215727i | 0.567721 | − | 0.823221i | \(-0.307825\pi\) |
0.794324 | + | 0.607494i | \(0.207825\pi\) | |||||||
\(648\) | 8.84603 | − | 1.65766i | 0.347505 | − | 0.0651191i | ||||
\(649\) | 13.0976 | + | 4.25566i | 0.514125 | + | 0.167049i | ||||
\(650\) | −0.340659 | + | 16.6896i | −0.0133617 | + | 0.654620i | ||||
\(651\) | 13.7520 | − | 9.32755i | 0.538982 | − | 0.365576i | ||||
\(652\) | −8.32616 | − | 8.32616i | −0.326078 | − | 0.326078i | ||||
\(653\) | 13.1479 | − | 6.69919i | 0.514517 | − | 0.262160i | −0.177397 | − | 0.984139i | \(-0.556768\pi\) |
0.691914 | + | 0.721980i | \(0.256768\pi\) | |||||||
\(654\) | −8.06587 | + | 9.57969i | −0.315401 | + | 0.374595i | ||||
\(655\) | −6.86547 | + | 9.24954i | −0.268256 | + | 0.361409i | ||||
\(656\) | −0.271308 | − | 0.156640i | −0.0105928 | − | 0.00611575i | ||||
\(657\) | 1.74753 | − | 8.83119i | 0.0681778 | − | 0.344538i | ||||
\(658\) | 13.2345 | + | 16.3432i | 0.515934 | + | 0.637125i | ||||
\(659\) | −29.6624 | + | 21.5510i | −1.15548 | + | 0.839507i | −0.989200 | − | 0.146571i | \(-0.953176\pi\) |
−0.166282 | + | 0.986078i | \(0.553176\pi\) | |||||||
\(660\) | −7.15581 | − | 5.52690i | −0.278539 | − | 0.215134i | ||||
\(661\) | −5.14982 | − | 5.71945i | −0.200305 | − | 0.222461i | 0.634621 | − | 0.772823i | \(-0.281156\pi\) |
−0.834926 | + | 0.550363i | \(0.814490\pi\) | |||||||
\(662\) | 2.22005 | − | 5.78343i | 0.0862848 | − | 0.224780i | ||||
\(663\) | −12.1010 | − | 7.29884i | −0.469966 | − | 0.283464i | ||||
\(664\) | −1.50967 | + | 7.10245i | −0.0585867 | + | 0.275629i | ||||
\(665\) | −20.8983 | + | 7.77837i | −0.810401 | + | 0.301632i | ||||
\(666\) | 13.1198 | − | 5.24935i | 0.508382 | − | 0.203408i | ||||
\(667\) | 4.44821 | − | 8.73010i | 0.172235 | − | 0.338031i | ||||
\(668\) | 8.39247 | + | 21.8631i | 0.324714 | + | 0.845910i | ||||
\(669\) | −5.64588 | + | 31.7067i | −0.218282 | + | 1.22585i | ||||
\(670\) | 33.8677 | − | 6.83836i | 1.30842 | − | 0.264189i | ||||
\(671\) | −4.61853 | − | 10.3734i | −0.178296 | − | 0.400460i | ||||
\(672\) | −2.98393 | − | 0.0571173i | −0.115107 | − | 0.00220335i | ||||
\(673\) | 5.75359 | + | 4.65916i | 0.221785 | + | 0.179598i | 0.733773 | − | 0.679395i | \(-0.237758\pi\) |
−0.511988 | + | 0.858992i | \(0.671091\pi\) | |||||||
\(674\) | 9.21795 | − | 6.69723i | 0.355062 | − | 0.257968i | ||||
\(675\) | 18.8330 | − | 17.8974i | 0.724883 | − | 0.688872i | ||||
\(676\) | −0.926820 | − | 1.60530i | −0.0356469 | − | 0.0617423i | ||||
\(677\) | −6.89857 | − | 25.7458i | −0.265134 | − | 0.989492i | −0.962169 | − | 0.272455i | \(-0.912164\pi\) |
0.697035 | − | 0.717037i | \(-0.254502\pi\) | |||||||
\(678\) | 9.11580 | − | 1.75599i | 0.350090 | − | 0.0674383i | ||||
\(679\) | 16.3309 | + | 14.7044i | 0.626721 | + | 0.564302i | ||||
\(680\) | −1.74159 | + | 5.17961i | −0.0667869 | + | 0.198629i | ||||
\(681\) | −1.17671 | − | 35.4081i | −0.0450917 | − | 1.35684i | ||||
\(682\) | −8.56941 | − | 9.77343i | −0.328140 | − | 0.374244i | ||||
\(683\) | 29.3740 | + | 29.3740i | 1.12396 | + | 1.12396i | 0.991140 | + | 0.132824i | \(0.0424045\pi\) |
0.132824 | + | 0.991140i | \(0.457596\pi\) | |||||||
\(684\) | −16.8325 | − | 4.25716i | −0.643607 | − | 0.162776i | ||||
\(685\) | −0.660586 | − | 15.6609i | −0.0252397 | − | 0.598372i | ||||
\(686\) | −11.1722 | + | 15.3772i | −0.426557 | + | 0.587106i | ||||
\(687\) | 11.8256 | − | 3.59367i | 0.451176 | − | 0.137107i | ||||
\(688\) | −3.77062 | − | 1.01033i | −0.143753 | − | 0.0385186i | ||||
\(689\) | −1.14457 | + | 10.8898i | −0.0436045 | + | 0.414869i | ||||
\(690\) | 0.926132 | − | 6.86673i | 0.0352572 | − | 0.261412i | ||||
\(691\) | 2.94115 | + | 27.9832i | 0.111887 | + | 1.06453i | 0.896043 | + | 0.443968i | \(0.146430\pi\) |
−0.784156 | + | 0.620564i | \(0.786904\pi\) | |||||||
\(692\) | 4.58013 | + | 0.240035i | 0.174110 | + | 0.00912474i | ||||
\(693\) | 11.5287 | + | 3.56722i | 0.437937 | + | 0.135507i | ||||
\(694\) | 3.60322 | + | 16.9518i | 0.136776 | + | 0.643482i | ||||
\(695\) | 1.53420 | − | 6.87227i | 0.0581956 | − | 0.260680i | ||||
\(696\) | −8.78920 | − | 3.56832i | −0.333154 | − | 0.135257i | ||||
\(697\) | 0.347576 | − | 0.682156i | 0.0131654 | − | 0.0258385i | ||||
\(698\) | 1.76746 | − | 3.46883i | 0.0668993 | − | 0.131297i | ||||
\(699\) | 44.5222 | + | 18.0755i | 1.68399 | + | 0.683679i | ||||
\(700\) | −7.31976 | + | 4.54387i | −0.276661 | + | 0.171742i | ||||
\(701\) | −8.21347 | − | 38.6413i | −0.310218 | − | 1.45946i | −0.806465 | − | 0.591281i | \(-0.798622\pi\) |
0.496247 | − | 0.868181i | \(-0.334711\pi\) | |||||||
\(702\) | 4.57468 | − | 16.7339i | 0.172660 | − | 0.631581i | ||||
\(703\) | −27.2237 | − | 1.42673i | −1.02676 | − | 0.0538103i | ||||
\(704\) | 0.244028 | + | 2.32177i | 0.00919713 | + | 0.0875049i | ||||
\(705\) | 28.6566 | + | 37.5916i | 1.07927 | + | 1.41578i | ||||
\(706\) | 2.53570 | − | 24.1256i | 0.0954324 | − | 0.907979i | ||||
\(707\) | 14.6240 | + | 3.91849i | 0.549992 | + | 0.147370i | ||||
\(708\) | 9.77599 | − | 2.97080i | 0.367404 | − | 0.111650i | ||||
\(709\) | 21.2804 | − | 29.2900i | 0.799202 | − | 1.10001i | −0.193698 | − | 0.981061i | \(-0.562048\pi\) |
0.992901 | − | 0.118947i | \(-0.0379517\pi\) | |||||||
\(710\) | 11.4367 | − | 0.482405i | 0.429210 | − | 0.0181043i | ||||
\(711\) | −0.0977410 | + | 0.386461i | −0.00366557 | + | 0.0144934i | ||||
\(712\) | −8.96835 | − | 8.96835i | −0.336103 | − | 0.336103i | ||||
\(713\) | 3.20274 | − | 9.43199i | 0.119944 | − | 0.353231i | ||||
\(714\) | −0.242251 | − | 7.28952i | −0.00906603 | − | 0.272804i | ||||
\(715\) | −15.6087 | + | 7.75343i | −0.583732 | + | 0.289962i | ||||
\(716\) | 4.02255 | + | 3.62192i | 0.150330 | + | 0.135357i | ||||
\(717\) | 47.9929 | − | 9.24493i | 1.79233 | − | 0.345258i | ||||
\(718\) | 5.45051 | + | 20.3416i | 0.203411 | + | 0.759141i | ||||
\(719\) | 24.8506 | + | 43.0425i | 0.926772 | + | 1.60522i | 0.788687 | + | 0.614795i | \(0.210761\pi\) |
0.138085 | + | 0.990420i | \(0.455905\pi\) | |||||||
\(720\) | −6.70032 | − | 0.325106i | −0.249706 | − | 0.0121160i | ||||
\(721\) | −12.5881 | + | 9.14576i | −0.468804 | + | 0.340606i | ||||
\(722\) | 11.2649 | + | 9.12213i | 0.419236 | + | 0.339491i | ||||
\(723\) | −5.34555 | − | 0.102323i | −0.198803 | − | 0.00380542i | ||||
\(724\) | −3.47967 | − | 7.81547i | −0.129321 | − | 0.290460i | ||||
\(725\) | −26.8958 | + | 5.14556i | −0.998883 | + | 0.191101i | ||||
\(726\) | −1.68517 | + | 9.46376i | −0.0625426 | + | 0.351233i | ||||
\(727\) | −0.157144 | − | 0.409375i | −0.00582816 | − | 0.0151829i | 0.930635 | − | 0.365948i | \(-0.119255\pi\) |
−0.936464 | + | 0.350765i | \(0.885922\pi\) | |||||||
\(728\) | −2.61168 | + | 5.12572i | −0.0967954 | + | 0.189972i | ||||
\(729\) | −23.5181 | + | 13.2628i | −0.871039 | + | 0.491214i | ||||
\(730\) | −2.79162 | + | 6.10174i | −0.103322 | + | 0.225835i | ||||
\(731\) | 1.98344 | − | 9.33134i | 0.0733601 | − | 0.345132i | ||||
\(732\) | −7.21393 | − | 4.35114i | −0.266635 | − | 0.160823i | ||||
\(733\) | −1.74268 | + | 4.53982i | −0.0643672 | + | 0.167682i | −0.961992 | − | 0.273079i | \(-0.911958\pi\) |
0.897625 | + | 0.440761i | \(0.145291\pi\) | |||||||
\(734\) | 2.25302 | + | 2.50224i | 0.0831606 | + | 0.0923592i | ||||
\(735\) | −9.54305 | + | 12.3556i | −0.352001 | + | 0.455744i | ||||
\(736\) | −1.44736 | + | 1.05157i | −0.0533504 | + | 0.0387613i | ||||
\(737\) | 22.7015 | + | 28.0340i | 0.836219 | + | 1.03264i | ||||
\(738\) | 0.921960 | + | 0.182439i | 0.0339378 | + | 0.00671569i | ||||
\(739\) | 0.0308567 | + | 0.0178151i | 0.00113508 | + | 0.000655339i | 0.500567 | − | 0.865698i | \(-0.333125\pi\) |
−0.499432 | + | 0.866353i | \(0.666458\pi\) | |||||||
\(740\) | −10.4192 | + | 1.54143i | −0.383018 | + | 0.0566639i | ||||
\(741\) | −21.5555 | + | 25.6010i | −0.791859 | + | 0.940477i | ||||
\(742\) | −5.03533 | + | 2.56563i | −0.184853 | + | 0.0941872i | ||||
\(743\) | −31.3797 | − | 31.3797i | −1.15121 | − | 1.15121i | −0.986311 | − | 0.164897i | \(-0.947271\pi\) |
−0.164897 | − | 0.986311i | \(-0.552729\pi\) | |||||||
\(744\) | −9.36318 | − | 2.30885i | −0.343271 | − | 0.0846465i | ||||
\(745\) | 34.8583 | + | 0.355716i | 1.27711 | + | 0.0130324i | ||||
\(746\) | −35.7531 | − | 11.6169i | −1.30901 | − | 0.425324i | ||||
\(747\) | −2.58180 | − | 21.6298i | −0.0944633 | − | 0.791394i | ||||
\(748\) | −5.63502 | + | 0.892499i | −0.206037 | + | 0.0326330i | ||||
\(749\) | 14.3222 | − | 24.8067i | 0.523321 | − | 0.906419i | ||||
\(750\) | −16.7452 | + | 9.72616i | −0.611448 | + | 0.355149i | ||||
\(751\) | −0.174462 | + | 1.65989i | −0.00636621 | + | 0.0605704i | −0.997244 | − | 0.0741948i | \(-0.976361\pi\) |
0.990878 | + | 0.134765i | \(0.0430280\pi\) | |||||||
\(752\) | 1.90924 | − | 12.0545i | 0.0696228 | − | 0.439581i | ||||
\(753\) | 21.0729 | − | 27.8667i | 0.767938 | − | 1.01552i | ||||
\(754\) | −13.5881 | + | 12.2348i | −0.494850 | + | 0.445565i | ||||
\(755\) | −9.15907 | + | 3.96639i | −0.333333 | + | 0.144352i | ||||
\(756\) | 8.52910 | − | 2.72365i | 0.310200 | − | 0.0990583i | ||||
\(757\) | 20.9936 | + | 32.3272i | 0.763024 | + | 1.17495i | 0.980043 | + | 0.198786i | \(0.0636999\pi\) |
−0.217019 | + | 0.976167i | \(0.569633\pi\) | |||||||
\(758\) | 2.47927 | + | 6.45872i | 0.0900512 | + | 0.234591i | ||||
\(759\) | 6.80198 | − | 2.46274i | 0.246896 | − | 0.0893918i | ||||
\(760\) | 11.4702 | + | 5.99256i | 0.416068 | + | 0.217373i | ||||
\(761\) | −7.48583 | + | 16.8134i | −0.271361 | + | 0.609487i | −0.996899 | − | 0.0786957i | \(-0.974924\pi\) |
0.725538 | + | 0.688182i | \(0.241591\pi\) | |||||||
\(762\) | −14.6230 | + | 10.2024i | −0.529735 | + | 0.369595i | ||||
\(763\) | −6.78528 | + | 10.4484i | −0.245644 | + | 0.378258i | ||||
\(764\) | 0.856042 | − | 0.381134i | 0.0309705 | − | 0.0137890i | ||||
\(765\) | −0.0635577 | − | 16.3936i | −0.00229793 | − | 0.592712i | ||||
\(766\) | 1.92760 | + | 18.3399i | 0.0696469 | + | 0.662646i | ||||
\(767\) | 3.08091 | − | 19.4521i | 0.111245 | − | 0.702375i | ||||
\(768\) | 1.13412 | + | 1.30911i | 0.0409241 | + | 0.0472384i | ||||
\(769\) | −31.3690 | + | 18.1109i | −1.13119 | + | 0.653095i | −0.944235 | − | 0.329272i | \(-0.893197\pi\) |
−0.186959 | + | 0.982368i | \(0.559863\pi\) | |||||||
\(770\) | −7.74351 | − | 4.57670i | −0.279057 | − | 0.164933i | ||||
\(771\) | −18.1956 | + | 26.8782i | −0.655299 | + | 0.967996i | ||||
\(772\) | −19.4252 | + | 1.01803i | −0.699129 | + | 0.0366398i | ||||
\(773\) | 21.0526 | − | 10.7269i | 0.757211 | − | 0.385818i | −0.0323613 | − | 0.999476i | \(-0.510303\pi\) |
0.789572 | + | 0.613658i | \(0.210303\pi\) | |||||||
\(774\) | 11.6850 | − | 0.777512i | 0.420010 | − | 0.0279471i | ||||
\(775\) | −26.3102 | + | 9.09796i | −0.945091 | + | 0.326808i | ||||
\(776\) | − | 12.7535i | − | 0.457823i | ||||||
\(777\) | 12.3067 | − | 6.79464i | 0.441502 | − | 0.243756i | ||||
\(778\) | −0.964718 | − | 18.4079i | −0.0345868 | − | 0.659956i | ||||
\(779\) | −1.46683 | − | 1.06572i | −0.0525547 | − | 0.0381832i | ||||
\(780\) | −6.20578 | + | 11.3439i | −0.222202 | + | 0.406176i | ||||
\(781\) | 5.97550 | + | 10.3499i | 0.213820 | + | 0.370347i | ||||
\(782\) | −2.75145 | − | 3.39776i | −0.0983917 | − | 0.121504i | ||||
\(783\) | 28.4109 | + | 1.63309i | 1.01532 | + | 0.0583619i | ||||
\(784\) | 4.00889 | − | 0.421351i | 0.143175 | − | 0.0150483i | ||||
\(785\) | −1.10369 | + | 17.6178i | −0.0393922 | + | 0.628808i | ||||
\(786\) | −8.02618 | + | 3.89789i | −0.286284 | + | 0.139033i | ||||
\(787\) | −7.20356 | − | 4.67805i | −0.256779 | − | 0.166754i | 0.409830 | − | 0.912162i | \(-0.365588\pi\) |
−0.666609 | + | 0.745408i | \(0.732255\pi\) | |||||||
\(788\) | 3.16161 | + | 4.86846i | 0.112628 | + | 0.173432i | ||||
\(789\) | 44.9174 | + | 18.2359i | 1.59910 | + | 0.649217i | ||||
\(790\) | 0.137585 | − | 0.263347i | 0.00489504 | − | 0.00936945i | ||||
\(791\) | 8.78334 | − | 2.85388i | 0.312299 | − | 0.101472i | ||||
\(792\) | −2.93846 | − | 6.35742i | −0.104414 | − | 0.225901i | ||||
\(793\) | −13.6190 | + | 8.84427i | −0.483624 | + | 0.314069i | ||||
\(794\) | 5.52569 | − | 1.17452i | 0.196099 | − | 0.0416822i | ||||
\(795\) | −11.4822 | + | 5.43222i | −0.407233 | + | 0.192661i | ||||
\(796\) | 18.4851 | + | 20.5297i | 0.655186 | + | 0.727658i | ||||
\(797\) | 30.8562 | + | 24.9868i | 1.09298 | + | 0.885079i | 0.993931 | − | 0.110003i | \(-0.0350861\pi\) |
0.0990506 | + | 0.995082i | \(0.468419\pi\) | |||||||
\(798\) | −17.1403 | − | 2.13391i | −0.606761 | − | 0.0755396i | ||||
\(799\) | 29.6629 | + | 3.11770i | 1.04940 | + | 0.110296i | ||||
\(800\) | 4.80221 | + | 1.39238i | 0.169784 | + | 0.0492282i | ||||
\(801\) | 34.1422 | + | 16.7950i | 1.20636 | + | 0.593423i | ||||
\(802\) | −3.11926 | − | 19.6942i | −0.110145 | − | 0.695427i | ||||
\(803\) | −6.99596 | + | 0.366643i | −0.246882 | + | 0.0129385i | ||||
\(804\) | 25.7140 | + | 7.42031i | 0.906863 | + | 0.261694i | ||||
\(805\) | 0.0703374 | − | 6.89269i | 0.00247907 | − | 0.242935i | ||||
\(806\) | −11.8877 | + | 14.2906i | −0.418725 | + | 0.503364i | ||||
\(807\) | −20.6347 | + | 22.0534i | −0.726377 | + | 0.776315i | ||||
\(808\) | −3.98898 | − | 7.82882i | −0.140332 | − | 0.275417i | ||||
\(809\) | −16.1304 | + | 17.9146i | −0.567114 | + | 0.629843i | −0.956675 | − | 0.291157i | \(-0.905960\pi\) |
0.389562 | + | 0.921000i | \(0.372626\pi\) | |||||||
\(810\) | 19.3422 | − | 5.55686i | 0.679616 | − | 0.195248i | ||||
\(811\) | 7.95674 | − | 13.7815i | 0.279399 | − | 0.483933i | −0.691837 | − | 0.722054i | \(-0.743198\pi\) |
0.971235 | + | 0.238121i | \(0.0765315\pi\) | |||||||
\(812\) | −9.11529 | − | 2.44243i | −0.319884 | − | 0.0857127i | ||||
\(813\) | 36.8704 | + | 42.5593i | 1.29310 | + | 1.49262i | ||||
\(814\) | −6.46359 | − | 8.89637i | −0.226549 | − | 0.311818i | ||||
\(815\) | −20.2918 | − | 16.7777i | −0.710792 | − | 0.587697i | ||||
\(816\) | −3.04980 | + | 2.93524i | −0.106764 | + | 0.102754i | ||||
\(817\) | −21.0917 | − | 8.09635i | −0.737905 | − | 0.283255i | ||||
\(818\) | 6.07161 | + | 3.94295i | 0.212289 | + | 0.137862i | ||||
\(819\) | 2.45949 | − | 17.0820i | 0.0859415 | − | 0.596894i | ||||
\(820\) | −0.637010 | − | 0.291440i | −0.0222454 | − | 0.0101775i | ||||
\(821\) | −22.1617 | + | 7.20077i | −0.773448 | + | 0.251309i | −0.669040 | − | 0.743226i | \(-0.733295\pi\) |
−0.104408 | + | 0.994535i | \(0.533295\pi\) | |||||||
\(822\) | 5.14984 | − | 10.9954i | 0.179621 | − | 0.383509i | ||||
\(823\) | 30.9996 | − | 11.8996i | 1.08058 | − | 0.414795i | 0.248033 | − | 0.968752i | \(-0.420216\pi\) |
0.832546 | + | 0.553956i | \(0.186883\pi\) | |||||||
\(824\) | 8.83280 | + | 1.87747i | 0.307705 | + | 0.0654048i | ||||
\(825\) | −17.0958 | − | 10.7933i | −0.595199 | − | 0.375774i | ||||
\(826\) | 9.28577 | − | 4.13429i | 0.323093 | − | 0.143850i | ||||
\(827\) | 23.1936 | + | 1.21553i | 0.806522 | + | 0.0422680i | 0.451140 | − | 0.892453i | \(-0.351018\pi\) |
0.355382 | + | 0.934721i | \(0.384351\pi\) | |||||||
\(828\) | 3.09325 | − | 4.38607i | 0.107498 | − | 0.152426i | ||||
\(829\) | 20.6406 | + | 28.4094i | 0.716878 | + | 0.986698i | 0.999622 | + | 0.0275029i | \(0.00875554\pi\) |
−0.282743 | + | 0.959196i | \(0.591244\pi\) | |||||||
\(830\) | −1.86185 | + | 16.1293i | −0.0646256 | + | 0.559855i | ||||
\(831\) | −16.3310 | − | 26.2333i | −0.566514 | − | 0.910023i | ||||
\(832\) | 3.22486 | − | 0.864098i | 0.111802 | − | 0.0299572i | ||||
\(833\) | 1.54104 | + | 9.72973i | 0.0533938 | + | 0.337115i | ||||
\(834\) | 3.51298 | − | 4.17230i | 0.121644 | − | 0.144475i | ||||
\(835\) | 23.2961 | + | 46.8982i | 0.806195 | + | 1.62298i | ||||
\(836\) | 13.5113i | 0.467296i | ||||||||
\(837\) | 28.8228 | − | 2.49871i | 0.996263 | − | 0.0863680i | ||||
\(838\) | 3.84801 | − | 3.84801i | 0.132927 | − | 0.132927i | ||||
\(839\) | 12.0123 | − | 36.9702i | 0.414712 | − | 1.27635i | −0.497797 | − | 0.867294i | \(-0.665857\pi\) |
0.912508 | − | 0.409058i | \(-0.134143\pi\) | |||||||
\(840\) | −6.65454 | + | 0.502546i | −0.229603 | + | 0.0173395i | ||||
\(841\) | −0.804431 | − | 0.584453i | −0.0277390 | − | 0.0201536i | ||||
\(842\) | 1.65840 | + | 6.18923i | 0.0571522 | + | 0.213295i | ||||
\(843\) | 4.81005 | − | 20.6755i | 0.165667 | − | 0.712103i | ||||
\(844\) | 1.62878 | + | 0.171191i | 0.0560648 | + | 0.00589265i | ||||
\(845\) | −2.40195 | − | 3.37795i | −0.0826295 | − | 0.116205i | ||||
\(846\) | 6.23636 | + | 36.0792i | 0.214411 | + | 1.24043i | ||||
\(847\) | −0.500482 | + | 9.54977i | −0.0171968 | + | 0.328134i | ||||
\(848\) | 3.06190 | + | 1.17536i | 0.105146 | + | 0.0403619i | ||||
\(849\) | −4.65036 | − | 18.7865i | −0.159600 | − | 0.644749i | ||||
\(850\) | −2.78388 | + | 11.8978i | −0.0954865 | + | 0.408091i | ||||
\(851\) | 3.42755 | − | 7.69840i | 0.117495 | − | 0.263898i | ||||
\(852\) | 8.02960 | + | 3.76076i | 0.275090 | + | 0.128841i | ||||
\(853\) | 30.2442 | + | 15.4102i | 1.03554 | + | 0.527634i | 0.887240 | − | 0.461308i | \(-0.152620\pi\) |
0.148301 | + | 0.988942i | \(0.452620\pi\) | |||||||
\(854\) | −7.65639 | − | 3.40884i | −0.261996 | − | 0.116648i | ||||
\(855\) | −38.3690 | − | 5.92466i | −1.31219 | − | 0.202619i | ||||
\(856\) | −16.2606 | + | 3.45630i | −0.555776 | + | 0.118134i | ||||
\(857\) | −20.9800 | + | 54.6547i | −0.716662 | + | 1.86697i | −0.344907 | + | 0.938637i | \(0.612090\pi\) |
−0.371755 | + | 0.928331i | \(0.621244\pi\) | |||||||
\(858\) | −13.4975 | − | 0.258363i | −0.460795 | − | 0.00882038i | ||||
\(859\) | 30.5900 | − | 3.21514i | 1.04372 | − | 0.109699i | 0.432877 | − | 0.901453i | \(-0.357499\pi\) |
0.610840 | + | 0.791754i | \(0.290832\pi\) | |||||||
\(860\) | −8.60693 | − | 1.45338i | −0.293494 | − | 0.0495600i | ||||
\(861\) | 0.932585 | + | 0.0667929i | 0.0317824 | + | 0.00227630i | ||||
\(862\) | −4.31354 | + | 16.0983i | −0.146920 | + | 0.548311i | ||||
\(863\) | −8.78935 | + | 2.35510i | −0.299193 | + | 0.0801685i | −0.405293 | − | 0.914187i | \(-0.632830\pi\) |
0.106100 | + | 0.994355i | \(0.466164\pi\) | |||||||
\(864\) | −4.48680 | − | 2.62080i | −0.152644 | − | 0.0891616i | ||||
\(865\) | 10.2464 | − | 0.432200i | 0.348389 | − | 0.0146952i | ||||
\(866\) | −15.5247 | − | 5.04428i | −0.527550 | − | 0.171412i | ||||
\(867\) | 13.9473 | + | 13.0501i | 0.473674 | + | 0.443203i | ||||
\(868\) | −9.52713 | − | 1.12854i | −0.323372 | − | 0.0383051i | ||||
\(869\) | 0.310208 | 0.0105231 | ||||||||
\(870\) | −20.3186 | − | 6.08862i | −0.688864 | − | 0.206423i | ||||
\(871\) | 34.5188 | − | 38.3370i | 1.16962 | − | 1.29900i | ||||
\(872\) | 7.14121 | − | 1.13106i | 0.241832 | − | 0.0383024i | ||||
\(873\) | 12.3343 | + | 36.2177i | 0.417453 | + | 1.22578i | ||||
\(874\) | −8.96687 | + | 5.17703i | −0.303309 | + | 0.175116i | ||||
\(875\) | −15.3355 | + | 11.6597i | −0.518436 | + | 0.394171i | ||||
\(876\) | −4.10112 | + | 3.19303i | −0.138564 | + | 0.107882i | ||||
\(877\) | 27.4704 | − | 33.9231i | 0.927610 | − | 1.14550i | −0.0614684 | − | 0.998109i | \(-0.519578\pi\) |
0.989078 | − | 0.147393i | \(-0.0470883\pi\) | |||||||
\(878\) | 1.21854 | − | 23.2512i | 0.0411239 | − | 0.784690i | ||||
\(879\) | 14.0170 | − | 6.80732i | 0.472782 | − | 0.229605i | ||||
\(880\) | 1.03319 | + | 5.11696i | 0.0348287 | + | 0.172493i | ||||
\(881\) | 10.3905 | − | 48.8835i | 0.350065 | − | 1.64693i | −0.352869 | − | 0.935673i | \(-0.614794\pi\) |
0.702934 | − | 0.711255i | \(-0.251873\pi\) | |||||||
\(882\) | −10.9771 | + | 5.07370i | −0.369617 | + | 0.170840i | ||||
\(883\) | −51.3020 | − | 26.1397i | −1.72645 | − | 0.879669i | −0.975709 | − | 0.219071i | \(-0.929697\pi\) |
−0.750740 | − | 0.660598i | \(-0.770303\pi\) | |||||||
\(884\) | 2.52127 | + | 7.75968i | 0.0847996 | + | 0.260986i | ||||
\(885\) | 21.1353 | − | 8.67628i | 0.710455 | − | 0.291650i | ||||
\(886\) | 20.3797 | + | 4.33185i | 0.684671 | + | 0.145531i | ||||
\(887\) | −15.6521 | + | 24.1022i | −0.525547 | + | 0.809272i | −0.997374 | − | 0.0724195i | \(-0.976928\pi\) |
0.471827 | + | 0.881691i | \(0.343595\pi\) | |||||||
\(888\) | −7.70955 | − | 2.66916i | −0.258716 | − | 0.0895711i | ||||
\(889\) | −13.1820 | + | 11.8691i | −0.442109 | + | 0.398077i | ||||
\(890\) | −21.8569 | − | 18.0718i | −0.732646 | − | 0.605767i | ||||
\(891\) | 14.4932 | + | 15.2121i | 0.485541 | + | 0.509626i | ||||
\(892\) | 14.4501 | − | 11.7015i | 0.483826 | − | 0.391794i | ||||
\(893\) | 18.2817 | − | 68.2281i | 0.611772 | − | 2.28317i | ||||
\(894\) | 23.8204 | + | 12.7171i | 0.796673 | + | 0.425323i | ||||
\(895\) | 9.71887 | + | 7.21383i | 0.324866 | + | 0.241132i | ||||
\(896\) | 1.28050 | + | 1.15297i | 0.0427786 | + | 0.0385180i | ||||
\(897\) | −5.00027 | − | 9.05671i | −0.166954 | − | 0.302395i | ||||
\(898\) | −15.7046 | + | 15.7046i | −0.524070 | + | 0.524070i | ||||
\(899\) | −26.9846 | − | 14.2006i | −0.899986 | − | 0.473616i | ||||
\(900\) | −14.9841 | + | 0.690244i | −0.499470 | + | 0.0230081i | ||||
\(901\) | −2.47681 | + | 7.62285i | −0.0825146 | + | 0.253954i | ||||
\(902\) | −0.0382768 | − | 0.730365i | −0.00127448 | − | 0.0243185i | ||||
\(903\) | 11.4400 | − | 2.20369i | 0.380698 | − | 0.0733343i | ||||
\(904\) | −4.64170 | − | 2.67988i | −0.154381 | − | 0.0891316i | ||||
\(905\) | −9.39534 | − | 16.6636i | −0.312312 | − | 0.553917i | ||||
\(906\) | −7.71151 | − | 0.552308i | −0.256198 | − | 0.0183492i | ||||
\(907\) | 24.8925 | + | 3.94259i | 0.826542 | + | 0.130911i | 0.555353 | − | 0.831615i | \(-0.312583\pi\) |
0.271189 | + | 0.962526i | \(0.412583\pi\) | |||||||
\(908\) | −12.8722 | + | 15.8959i | −0.427180 | + | 0.527523i | ||||
\(909\) | 18.8996 | + | 18.3747i | 0.626859 | + | 0.609449i | ||||
\(910\) | −4.73216 | + | 11.9614i | −0.156870 | + | 0.396518i | ||||
\(911\) | −6.83786 | − | 32.1696i | −0.226548 | − | 1.06583i | −0.933504 | − | 0.358568i | \(-0.883265\pi\) |
0.706955 | − | 0.707258i | \(-0.250068\pi\) | |||||||
\(912\) | 5.73582 | + | 8.22107i | 0.189932 | + | 0.272227i | ||||
\(913\) | −15.8256 | + | 6.07488i | −0.523751 | + | 0.201049i | ||||
\(914\) | 9.98220 | + | 30.7220i | 0.330182 | + | 1.01619i | ||||
\(915\) | −16.9771 | − | 8.16367i | −0.561244 | − | 0.269883i | ||||
\(916\) | −6.51890 | − | 2.90240i | −0.215391 | − | 0.0958981i | ||||
\(917\) | −7.44441 | + | 4.83446i | −0.245836 | + | 0.159648i | ||||
\(918\) | 5.82216 | − | 11.2852i | 0.192160 | − | 0.372466i | ||||
\(919\) | 7.51582 | + | 16.8808i | 0.247924 | + | 0.556847i | 0.994046 | − | 0.108963i | \(-0.0347530\pi\) |
−0.746122 | + | 0.665810i | \(0.768086\pi\) | |||||||
\(920\) | −3.00004 | + | 2.64632i | −0.0989084 | + | 0.0872465i | ||||
\(921\) | −1.55238 | − | 11.1825i | −0.0511527 | − | 0.368477i | ||||
\(922\) | 28.0423 | + | 4.44146i | 0.923523 | + | 0.146272i | ||||
\(923\) | 13.2822 | − | 10.7557i | 0.437188 | − | 0.354028i | ||||
\(924\) | −3.68220 | − | 5.91492i | −0.121136 | − | 0.194587i | ||||
\(925\) | −22.8688 | + | 5.63010i | −0.751921 | + | 0.185117i | ||||
\(926\) | −22.5139 | + | 30.9877i | −0.739853 | + | 1.01832i | ||||
\(927\) | −26.8995 | + | 3.21080i | −0.883494 | + | 0.105457i | ||||
\(928\) | 2.48637 | + | 4.87978i | 0.0816192 | + | 0.160187i | ||||
\(929\) | −36.3662 | −1.19314 | −0.596568 | − | 0.802562i | \(-0.703470\pi\) | ||||
−0.596568 | + | 0.802562i | \(0.703470\pi\) | |||||||
\(930\) | −21.3305 | − | 3.16380i | −0.699455 | − | 0.103745i | ||||
\(931\) | 23.3293 | 0.764586 | ||||||||
\(932\) | −12.5949 | − | 24.7188i | −0.412559 | − | 0.809692i | ||||
\(933\) | −32.8706 | + | 2.81997i | −1.07613 | + | 0.0923215i | ||||
\(934\) | 23.2160 | − | 31.9541i | 0.759652 | − | 1.04557i | ||||
\(935\) | −12.3557 | + | 3.17593i | −0.404075 | + | 0.103864i | ||||
\(936\) | −8.32235 | + | 5.57276i | −0.272025 | + | 0.182151i | ||||
\(937\) | 8.80907 | − | 7.13345i | 0.287780 | − | 0.233040i | −0.474549 | − | 0.880229i | \(-0.657389\pi\) |
0.762329 | + | 0.647189i | \(0.224056\pi\) | |||||||
\(938\) | 26.2969 | + | 4.16502i | 0.858625 | + | 0.135993i | ||||
\(939\) | −17.9205 | + | 2.48776i | −0.584815 | + | 0.0811851i | ||||
\(940\) | 1.70630 | − | 27.2372i | 0.0556534 | − | 0.888380i | ||||
\(941\) | 11.6056 | + | 26.0665i | 0.378331 | + | 0.849744i | 0.997898 | + | 0.0648011i | \(0.0206413\pi\) |
−0.619568 | + | 0.784943i | \(0.712692\pi\) | |||||||
\(942\) | −7.06211 | + | 11.7086i | −0.230096 | + | 0.381486i | ||||
\(943\) | 0.470048 | − | 0.305252i | 0.0153069 | − | 0.00994039i | ||||
\(944\) | −5.38903 | − | 2.39935i | −0.175398 | − | 0.0780922i | ||||
\(945\) | 18.4117 | − | 7.86297i | 0.598934 | − | 0.255783i | ||||
\(946\) | −2.81615 | − | 8.66721i | −0.0915608 | − | 0.281795i | ||||
\(947\) | 13.5744 | − | 5.21074i | 0.441110 | − | 0.169326i | −0.127669 | − | 0.991817i | \(-0.540749\pi\) |
0.568779 | + | 0.822491i | \(0.307416\pi\) | |||||||
\(948\) | 0.188749 | − | 0.131690i | 0.00613029 | − | 0.00427709i | ||||
\(949\) | 2.08297 | + | 9.79963i | 0.0676162 | + | 0.318109i | ||||
\(950\) | 26.7983 | + | 10.9194i | 0.869450 | + | 0.354273i | ||||
\(951\) | −22.1808 | + | 21.3476i | −0.719261 | + | 0.692243i | ||||
\(952\) | −2.65003 | + | 3.27251i | −0.0858878 | + | 0.106063i | ||||
\(953\) | 3.11333 | + | 0.493103i | 0.100851 | + | 0.0159732i | 0.206656 | − | 0.978414i | \(-0.433742\pi\) |
−0.105805 | + | 0.994387i | \(0.533742\pi\) | |||||||
\(954\) | −9.83202 | − | 0.376540i | −0.318324 | − | 0.0121909i | ||||
\(955\) | 1.82519 | − | 1.02909i | 0.0590619 | − | 0.0333005i | ||||
\(956\) | −24.4376 | − | 14.1091i | −0.790369 | − | 0.456320i | ||||
\(957\) | −4.18889 | − | 21.7457i | −0.135408 | − | 0.702938i | ||||
\(958\) | 0.137515 | + | 2.62395i | 0.00444292 | + | 0.0847760i | ||||
\(959\) | 3.73256 | − | 11.4877i | 0.120531 | − | 0.370956i | ||||
\(960\) | 2.80091 | + | 2.67486i | 0.0903991 | + | 0.0863307i | ||||
\(961\) | −29.2199 | − | 10.3536i | −0.942577 | − | 0.333988i | ||||
\(962\) | −11.1199 | + | 11.1199i | −0.358522 | + | 0.358522i | ||||
\(963\) | 42.8347 | − | 25.5415i | 1.38033 | − | 0.823063i | ||||
\(964\) | 2.29396 | + | 2.06549i | 0.0738833 | + | 0.0665249i | ||||
\(965\) | −43.0274 | + | 6.36550i | −1.38510 | + | 0.204913i | ||||
\(966\) | 2.51461 | − | 4.71011i | 0.0809062 | − | 0.151545i | ||||
\(967\) | −10.8155 | + | 40.3641i | −0.347804 | + | 1.29802i | 0.541499 | + | 0.840701i | \(0.317857\pi\) |
−0.889303 | + | 0.457319i | \(0.848810\pi\) | |||||||
\(968\) | 4.31304 | − | 3.49263i | 0.138626 | − | 0.112258i | ||||
\(969\) | −19.3298 | + | 15.0496i | −0.620961 | + | 0.483464i | ||||
\(970\) | −2.69135 | − | 28.3903i | −0.0864139 | − | 0.911559i | ||||
\(971\) | −0.201941 | + | 0.181829i | −0.00648060 | + | 0.00583516i | −0.672365 | − | 0.740220i | \(-0.734721\pi\) |
0.665884 | + | 0.746055i | \(0.268055\pi\) | |||||||
\(972\) | 15.2764 | + | 3.10331i | 0.489992 | + | 0.0995387i | ||||
\(973\) | 2.95524 | − | 4.55066i | 0.0947405 | − | 0.145888i | ||||
\(974\) | 7.96345 | + | 1.69268i | 0.255166 | + | 0.0542371i | ||||
\(975\) | −11.4207 | + | 26.5621i | −0.365756 | + | 0.850667i | ||||
\(976\) | 1.50303 | + | 4.62586i | 0.0481110 | + | 0.148070i | ||||
\(977\) | 18.5185 | + | 9.43566i | 0.592460 | + | 0.301873i | 0.724395 | − | 0.689385i | \(-0.242119\pi\) |
−0.131935 | + | 0.991258i | \(0.542119\pi\) | |||||||
\(978\) | −7.93724 | − | 18.7870i | −0.253805 | − | 0.600741i | ||||
\(979\) | 6.15617 | − | 28.9625i | 0.196752 | − | 0.925646i | ||||
\(980\) | 8.83522 | − | 1.78395i | 0.282231 | − | 0.0569863i | ||||
\(981\) | −19.1860 | + | 10.1185i | −0.612561 | + | 0.323060i | ||||
\(982\) | 0.345759 | − | 6.59748i | 0.0110336 | − | 0.210534i | ||||
\(983\) | −10.4869 | + | 12.9502i | −0.334479 | + | 0.413047i | −0.916442 | − | 0.400168i | \(-0.868952\pi\) |
0.581963 | + | 0.813216i | \(0.302285\pi\) | |||||||
\(984\) | −0.333346 | − | 0.428149i | −0.0106267 | − | 0.0136489i | ||||
\(985\) | 8.06541 | + | 10.1704i | 0.256985 | + | 0.324057i | ||||
\(986\) | −11.5910 | + | 6.69207i | −0.369133 | + | 0.213119i | ||||
\(987\) | 10.5908 | + | 34.8510i | 0.337109 | + | 1.10932i | ||||
\(988\) | 19.0844 | − | 3.02267i | 0.607155 | − | 0.0961639i | ||||
\(989\) | 4.67303 | − | 5.18992i | 0.148594 | − | 0.165030i | ||||
\(990\) | −7.88286 | − | 13.5321i | −0.250534 | − | 0.430078i | ||||
\(991\) | 22.7338 | 0.722161 | 0.361081 | − | 0.932535i | \(-0.382408\pi\) | ||||
0.361081 | + | 0.932535i | \(0.382408\pi\) | |||||||
\(992\) | 3.21297 | + | 4.54718i | 0.102012 | + | 0.144373i | ||||
\(993\) | 7.33098 | − | 7.83498i | 0.232642 | − | 0.248636i | ||||
\(994\) | 8.38906 | + | 2.72577i | 0.266085 | + | 0.0864562i | ||||
\(995\) | 45.4817 | + | 41.8001i | 1.44187 | + | 1.32515i | ||||
\(996\) | −7.05034 | + | 10.4146i | −0.223399 | + | 0.330000i | ||||
\(997\) | 27.1210 | − | 7.26706i | 0.858932 | − | 0.230150i | 0.197636 | − | 0.980275i | \(-0.436674\pi\) |
0.661296 | + | 0.750125i | \(0.270007\pi\) | |||||||
\(998\) | −5.38193 | + | 20.0856i | −0.170362 | + | 0.635800i | ||||
\(999\) | 24.4753 | + | 0.123798i | 0.774363 | + | 0.00391681i |
(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 | 930.2.bs.a.107.16 | ✓ | 1024 | |
3.2 | odd | 2 | inner | 930.2.bs.a.107.47 | yes | 1024 | |
5.3 | odd | 4 | inner | 930.2.bs.a.293.32 | yes | 1024 | |
15.8 | even | 4 | inner | 930.2.bs.a.293.63 | yes | 1024 | |
31.20 | even | 15 | inner | 930.2.bs.a.857.63 | yes | 1024 | |
93.20 | odd | 30 | inner | 930.2.bs.a.857.32 | yes | 1024 | |
155.113 | odd | 60 | inner | 930.2.bs.a.113.47 | yes | 1024 | |
465.113 | even | 60 | inner | 930.2.bs.a.113.16 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bs.a.107.16 | ✓ | 1024 | 1.1 | even | 1 | trivial | |
930.2.bs.a.107.47 | yes | 1024 | 3.2 | odd | 2 | inner | |
930.2.bs.a.113.16 | yes | 1024 | 465.113 | even | 60 | inner | |
930.2.bs.a.113.47 | yes | 1024 | 155.113 | odd | 60 | inner | |
930.2.bs.a.293.32 | yes | 1024 | 5.3 | odd | 4 | inner | |
930.2.bs.a.293.63 | yes | 1024 | 15.8 | even | 4 | inner | |
930.2.bs.a.857.32 | yes | 1024 | 93.20 | odd | 30 | inner | |
930.2.bs.a.857.63 | yes | 1024 | 31.20 | even | 15 | inner |