Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), degree \(4\), 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: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 13 x^{10} - 9 x^{9} + 60 x^{8} + x^{7} + 263 x^{6} + 823 x^{5} + 1931 x^{4} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 841.3 | ||
Root | \(-1.32494 + 0.962628i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.841 |
Dual form | 930.2.n.d.721.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | −0.309017 | + | 0.951057i | −0.178411 | + | 0.549093i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | 2.14380 | − | 1.55756i | 0.810282 | − | 0.588704i | −0.103630 | − | 0.994616i | \(-0.533046\pi\) |
0.913912 | + | 0.405912i | \(0.133046\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | −0.309017 | − | 0.951057i | −0.0977198 | − | 0.300750i | ||||
\(11\) | 3.05265 | − | 2.21788i | 0.920408 | − | 0.668716i | −0.0232172 | − | 0.999730i | \(-0.507391\pi\) |
0.943626 | + | 0.331015i | \(0.107391\pi\) | |||||||
\(12\) | −0.309017 | − | 0.951057i | −0.0892055 | − | 0.274546i | ||||
\(13\) | 0.0808923 | − | 0.248961i | 0.0224355 | − | 0.0690493i | −0.939212 | − | 0.343338i | \(-0.888442\pi\) |
0.961647 | + | 0.274289i | \(0.0884424\pi\) | |||||||
\(14\) | 2.14380 | + | 1.55756i | 0.572956 | + | 0.416277i | ||||
\(15\) | 0.309017 | − | 0.951057i | 0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 2.72143 | + | 1.97723i | 0.660043 | + | 0.479550i | 0.866678 | − | 0.498869i | \(-0.166251\pi\) |
−0.206634 | + | 0.978418i | \(0.566251\pi\) | |||||||
\(18\) | 0.309017 | − | 0.951057i | 0.0728360 | − | 0.224166i | ||||
\(19\) | 1.47735 | + | 4.54681i | 0.338927 | + | 1.04311i | 0.964755 | + | 0.263149i | \(0.0847612\pi\) |
−0.625828 | + | 0.779961i | \(0.715239\pi\) | |||||||
\(20\) | 0.809017 | − | 0.587785i | 0.180902 | − | 0.131433i | ||||
\(21\) | 0.818860 | + | 2.52019i | 0.178690 | + | 0.549951i | ||||
\(22\) | 3.05265 | + | 2.21788i | 0.650827 | + | 0.472854i | ||||
\(23\) | 6.19805 | + | 4.50315i | 1.29238 | + | 0.938972i | 0.999851 | − | 0.0172837i | \(-0.00550185\pi\) |
0.292533 | + | 0.956255i | \(0.405502\pi\) | |||||||
\(24\) | 0.809017 | − | 0.587785i | 0.165140 | − | 0.119981i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0.261773 | 0.0513379 | ||||||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −0.818860 | + | 2.52019i | −0.154750 | + | 0.476272i | ||||
\(29\) | 1.38432 | + | 4.26049i | 0.257061 | + | 0.791153i | 0.993417 | + | 0.114558i | \(0.0365452\pi\) |
−0.736355 | + | 0.676595i | \(0.763455\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | −1.08039 | − | 5.46194i | −0.194045 | − | 0.980993i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.16601 | + | 3.58860i | 0.202976 | + | 0.624696i | ||||
\(34\) | −1.03949 | + | 3.19923i | −0.178272 | + | 0.548664i | ||||
\(35\) | −2.14380 | + | 1.55756i | −0.362369 | + | 0.263277i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −6.85410 | −1.12681 | −0.563404 | − | 0.826182i | \(-0.690508\pi\) | ||||
−0.563404 | + | 0.826182i | \(0.690508\pi\) | |||||||
\(38\) | −3.86775 | + | 2.81008i | −0.627432 | + | 0.455856i | ||||
\(39\) | 0.211779 | + | 0.153866i | 0.0339117 | + | 0.0246383i | ||||
\(40\) | 0.809017 | + | 0.587785i | 0.127917 | + | 0.0929370i | ||||
\(41\) | −0.633657 | − | 1.95020i | −0.0989606 | − | 0.304569i | 0.889305 | − | 0.457315i | \(-0.151189\pi\) |
−0.988266 | + | 0.152745i | \(0.951189\pi\) | |||||||
\(42\) | −2.14380 | + | 1.55756i | −0.330796 | + | 0.240337i | ||||
\(43\) | −2.18250 | − | 6.71705i | −0.332828 | − | 1.02434i | −0.967782 | − | 0.251790i | \(-0.918981\pi\) |
0.634953 | − | 0.772550i | \(-0.281019\pi\) | |||||||
\(44\) | −1.16601 | + | 3.58860i | −0.175782 | + | 0.541003i | ||||
\(45\) | 0.809017 | + | 0.587785i | 0.120601 | + | 0.0876219i | ||||
\(46\) | −2.36745 | + | 7.28625i | −0.349061 | + | 1.07430i | ||||
\(47\) | −0.326352 | + | 1.00441i | −0.0476034 | + | 0.146508i | −0.972033 | − | 0.234845i | \(-0.924542\pi\) |
0.924429 | + | 0.381353i | \(0.124542\pi\) | |||||||
\(48\) | 0.809017 | + | 0.587785i | 0.116772 | + | 0.0848395i | ||||
\(49\) | 0.00676897 | − | 0.0208327i | 0.000966996 | − | 0.00297611i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | −2.72143 | + | 1.97723i | −0.381076 | + | 0.276868i | ||||
\(52\) | 0.0808923 | + | 0.248961i | 0.0112177 | + | 0.0345247i | ||||
\(53\) | 8.26172 | + | 6.00249i | 1.13483 | + | 0.824505i | 0.986391 | − | 0.164416i | \(-0.0525739\pi\) |
0.148443 | + | 0.988921i | \(0.452574\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | −3.05265 | + | 2.21788i | −0.411619 | + | 0.299059i | ||||
\(56\) | −2.64989 | −0.354106 | ||||||||
\(57\) | −4.78080 | −0.633233 | ||||||||
\(58\) | −3.62419 | + | 2.63313i | −0.475879 | + | 0.345747i | ||||
\(59\) | −1.46567 | + | 4.51088i | −0.190814 | + | 0.587267i | −1.00000 | 0.000286736i | \(-0.999909\pi\) | |
0.809186 | + | 0.587553i | \(0.199909\pi\) | |||||||
\(60\) | 0.309017 | + | 0.951057i | 0.0398939 | + | 0.122781i | ||||
\(61\) | 1.91964 | 0.245785 | 0.122893 | − | 0.992420i | \(-0.460783\pi\) | ||||
0.122893 | + | 0.992420i | \(0.460783\pi\) | |||||||
\(62\) | 4.86075 | − | 2.71535i | 0.617316 | − | 0.344849i | ||||
\(63\) | −2.64989 | −0.333854 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −0.0808923 | + | 0.248961i | −0.0100335 | + | 0.0308798i | ||||
\(66\) | −3.05265 | + | 2.21788i | −0.375755 | + | 0.273002i | ||||
\(67\) | 4.02523 | 0.491760 | 0.245880 | − | 0.969300i | \(-0.420923\pi\) | ||||
0.245880 | + | 0.969300i | \(0.420923\pi\) | |||||||
\(68\) | −3.36387 | −0.407929 | ||||||||
\(69\) | −6.19805 | + | 4.50315i | −0.746158 | + | 0.542116i | ||||
\(70\) | −2.14380 | − | 1.55756i | −0.256234 | − | 0.186165i | ||||
\(71\) | −0.666814 | − | 0.484468i | −0.0791362 | − | 0.0574958i | 0.547514 | − | 0.836797i | \(-0.315574\pi\) |
−0.626650 | + | 0.779301i | \(0.715574\pi\) | |||||||
\(72\) | 0.309017 | + | 0.951057i | 0.0364180 | + | 0.112083i | ||||
\(73\) | 6.91929 | − | 5.02716i | 0.809842 | − | 0.588384i | −0.103943 | − | 0.994583i | \(-0.533146\pi\) |
0.913785 | + | 0.406199i | \(0.133146\pi\) | |||||||
\(74\) | −2.11803 | − | 6.51864i | −0.246216 | − | 0.757776i | ||||
\(75\) | −0.309017 | + | 0.951057i | −0.0356822 | + | 0.109819i | ||||
\(76\) | −3.86775 | − | 2.81008i | −0.443661 | − | 0.322339i | ||||
\(77\) | 3.08979 | − | 9.50940i | 0.352114 | − | 1.08370i | ||||
\(78\) | −0.0808923 | + | 0.248961i | −0.00915925 | + | 0.0281893i | ||||
\(79\) | 4.06969 | + | 2.95680i | 0.457875 | + | 0.332666i | 0.792697 | − | 0.609616i | \(-0.208676\pi\) |
−0.334822 | + | 0.942281i | \(0.608676\pi\) | |||||||
\(80\) | −0.309017 | + | 0.951057i | −0.0345492 | + | 0.106331i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 1.65894 | − | 1.20529i | 0.183199 | − | 0.133102i | ||||
\(83\) | 3.49795 | + | 10.7656i | 0.383950 | + | 1.18168i | 0.937239 | + | 0.348687i | \(0.113372\pi\) |
−0.553289 | + | 0.832989i | \(0.686628\pi\) | |||||||
\(84\) | −2.14380 | − | 1.55756i | −0.233908 | − | 0.169944i | ||||
\(85\) | −2.72143 | − | 1.97723i | −0.295180 | − | 0.214461i | ||||
\(86\) | 5.71386 | − | 4.15137i | 0.616142 | − | 0.447653i | ||||
\(87\) | −4.47975 | −0.480279 | ||||||||
\(88\) | −3.77328 | −0.402233 | ||||||||
\(89\) | −4.84923 | + | 3.52317i | −0.514018 | + | 0.373456i | −0.814346 | − | 0.580380i | \(-0.802904\pi\) |
0.300328 | + | 0.953836i | \(0.402904\pi\) | |||||||
\(90\) | −0.309017 | + | 0.951057i | −0.0325733 | + | 0.100250i | ||||
\(91\) | −0.214355 | − | 0.659718i | −0.0224706 | − | 0.0691573i | ||||
\(92\) | −7.66122 | −0.798737 | ||||||||
\(93\) | 5.52847 | + | 0.660315i | 0.573276 | + | 0.0684715i | ||||
\(94\) | −1.05610 | −0.108928 | ||||||||
\(95\) | −1.47735 | − | 4.54681i | −0.151573 | − | 0.466493i | ||||
\(96\) | −0.309017 | + | 0.951057i | −0.0315389 | + | 0.0970668i | ||||
\(97\) | 5.68828 | − | 4.13278i | 0.577558 | − | 0.419620i | −0.260285 | − | 0.965532i | \(-0.583817\pi\) |
0.837843 | + | 0.545912i | \(0.183817\pi\) | |||||||
\(98\) | 0.0219048 | 0.00221272 | ||||||||
\(99\) | −3.77328 | −0.379229 | ||||||||
\(100\) | −0.809017 | + | 0.587785i | −0.0809017 | + | 0.0587785i | ||||
\(101\) | −4.98499 | − | 3.62181i | −0.496025 | − | 0.360383i | 0.311472 | − | 0.950255i | \(-0.399178\pi\) |
−0.807497 | + | 0.589872i | \(0.799178\pi\) | |||||||
\(102\) | −2.72143 | − | 1.97723i | −0.269462 | − | 0.195775i | ||||
\(103\) | −1.96309 | − | 6.04177i | −0.193429 | − | 0.595314i | −0.999991 | − | 0.00416436i | \(-0.998674\pi\) |
0.806562 | − | 0.591149i | \(-0.201326\pi\) | |||||||
\(104\) | −0.211779 | + | 0.153866i | −0.0207666 | + | 0.0150878i | ||||
\(105\) | −0.818860 | − | 2.52019i | −0.0799126 | − | 0.245946i | ||||
\(106\) | −3.15570 | + | 9.71223i | −0.306508 | + | 0.943335i | ||||
\(107\) | 12.3401 | + | 8.96558i | 1.19296 | + | 0.866735i | 0.993574 | − | 0.113186i | \(-0.0361055\pi\) |
0.199385 | + | 0.979921i | \(0.436106\pi\) | |||||||
\(108\) | −0.309017 | + | 0.951057i | −0.0297352 | + | 0.0915155i | ||||
\(109\) | 0.686074 | − | 2.11152i | 0.0657140 | − | 0.202247i | −0.912808 | − | 0.408389i | \(-0.866091\pi\) |
0.978522 | + | 0.206142i | \(0.0660908\pi\) | |||||||
\(110\) | −3.05265 | − | 2.21788i | −0.291059 | − | 0.211467i | ||||
\(111\) | 2.11803 | − | 6.51864i | 0.201035 | − | 0.618722i | ||||
\(112\) | −0.818860 | − | 2.52019i | −0.0773750 | − | 0.238136i | ||||
\(113\) | 3.27728 | − | 2.38108i | 0.308301 | − | 0.223994i | −0.422866 | − | 0.906192i | \(-0.638976\pi\) |
0.731167 | + | 0.682199i | \(0.238976\pi\) | |||||||
\(114\) | −1.47735 | − | 4.54681i | −0.138366 | − | 0.425848i | ||||
\(115\) | −6.19805 | − | 4.50315i | −0.577972 | − | 0.419921i | ||||
\(116\) | −3.62419 | − | 2.63313i | −0.336498 | − | 0.244480i | ||||
\(117\) | −0.211779 | + | 0.153866i | −0.0195790 | + | 0.0142249i | ||||
\(118\) | −4.74302 | −0.436630 | ||||||||
\(119\) | 8.91388 | 0.817134 | ||||||||
\(120\) | −0.809017 | + | 0.587785i | −0.0738528 | + | 0.0536572i | ||||
\(121\) | 1.00049 | − | 3.07920i | 0.0909538 | − | 0.279927i | ||||
\(122\) | 0.593202 | + | 1.82569i | 0.0537060 | + | 0.165290i | ||||
\(123\) | 2.05056 | 0.184893 | ||||||||
\(124\) | 4.08450 | + | 3.78376i | 0.366799 | + | 0.339792i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −0.818860 | − | 2.52019i | −0.0729499 | − | 0.224517i | ||||
\(127\) | 1.92169 | − | 5.91436i | 0.170523 | − | 0.524815i | −0.828878 | − | 0.559429i | \(-0.811020\pi\) |
0.999401 | + | 0.0346147i | \(0.0110204\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 7.06272 | 0.621838 | ||||||||
\(130\) | −0.261773 | −0.0229590 | ||||||||
\(131\) | −9.24191 | + | 6.71464i | −0.807470 | + | 0.586661i | −0.913096 | − | 0.407745i | \(-0.866315\pi\) |
0.105626 | + | 0.994406i | \(0.466315\pi\) | |||||||
\(132\) | −3.05265 | − | 2.21788i | −0.265699 | − | 0.193042i | ||||
\(133\) | 10.2491 | + | 7.44641i | 0.888710 | + | 0.645686i | ||||
\(134\) | 1.24386 | + | 3.82822i | 0.107453 | + | 0.330708i | ||||
\(135\) | −0.809017 | + | 0.587785i | −0.0696291 | + | 0.0505885i | ||||
\(136\) | −1.03949 | − | 3.19923i | −0.0891358 | − | 0.274332i | ||||
\(137\) | 5.22942 | − | 16.0945i | 0.446779 | − | 1.37504i | −0.433742 | − | 0.901037i | \(-0.642807\pi\) |
0.880521 | − | 0.474008i | \(-0.157193\pi\) | |||||||
\(138\) | −6.19805 | − | 4.50315i | −0.527613 | − | 0.383334i | ||||
\(139\) | 2.74009 | − | 8.43312i | 0.232411 | − | 0.715288i | −0.765043 | − | 0.643979i | \(-0.777282\pi\) |
0.997454 | − | 0.0713089i | \(-0.0227176\pi\) | |||||||
\(140\) | 0.818860 | − | 2.52019i | 0.0692063 | − | 0.212995i | ||||
\(141\) | −0.854401 | − | 0.620759i | −0.0719536 | − | 0.0522773i | ||||
\(142\) | 0.254700 | − | 0.783886i | 0.0213740 | − | 0.0657823i | ||||
\(143\) | −0.305229 | − | 0.939400i | −0.0255246 | − | 0.0785565i | ||||
\(144\) | −0.809017 | + | 0.587785i | −0.0674181 | + | 0.0489821i | ||||
\(145\) | −1.38432 | − | 4.26049i | −0.114961 | − | 0.353815i | ||||
\(146\) | 6.91929 | + | 5.02716i | 0.572645 | + | 0.416051i | ||||
\(147\) | 0.0177214 | + | 0.0128753i | 0.00146164 | + | 0.00106194i | ||||
\(148\) | 5.54508 | − | 4.02874i | 0.455803 | − | 0.331160i | ||||
\(149\) | 3.51099 | 0.287632 | 0.143816 | − | 0.989604i | \(-0.454063\pi\) | ||||
0.143816 | + | 0.989604i | \(0.454063\pi\) | |||||||
\(150\) | −1.00000 | −0.0816497 | ||||||||
\(151\) | −15.1219 | + | 10.9867i | −1.23060 | + | 0.894086i | −0.996935 | − | 0.0782302i | \(-0.975073\pi\) |
−0.233669 | + | 0.972316i | \(0.575073\pi\) | |||||||
\(152\) | 1.47735 | − | 4.54681i | 0.119829 | − | 0.368795i | ||||
\(153\) | −1.03949 | − | 3.19923i | −0.0840380 | − | 0.258642i | ||||
\(154\) | 9.99877 | 0.805724 | ||||||||
\(155\) | 1.08039 | + | 5.46194i | 0.0867794 | + | 0.438713i | ||||
\(156\) | −0.261773 | −0.0209586 | ||||||||
\(157\) | −5.97761 | − | 18.3972i | −0.477065 | − | 1.46825i | −0.843153 | − | 0.537674i | \(-0.819303\pi\) |
0.366088 | − | 0.930580i | \(-0.380697\pi\) | |||||||
\(158\) | −1.55448 | + | 4.78420i | −0.123668 | + | 0.380611i | ||||
\(159\) | −8.26172 | + | 6.00249i | −0.655197 | + | 0.476028i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 20.3014 | 1.59997 | ||||||||
\(162\) | −0.809017 | + | 0.587785i | −0.0635624 | + | 0.0461808i | ||||
\(163\) | −10.6779 | − | 7.75798i | −0.836361 | − | 0.607652i | 0.0849904 | − | 0.996382i | \(-0.472914\pi\) |
−0.921352 | + | 0.388730i | \(0.872914\pi\) | |||||||
\(164\) | 1.65894 | + | 1.20529i | 0.129541 | + | 0.0941171i | ||||
\(165\) | −1.16601 | − | 3.58860i | −0.0907736 | − | 0.279372i | ||||
\(166\) | −9.15775 | + | 6.65350i | −0.710780 | + | 0.516412i | ||||
\(167\) | −5.93750 | − | 18.2738i | −0.459458 | − | 1.41407i | −0.865821 | − | 0.500354i | \(-0.833203\pi\) |
0.406363 | − | 0.913712i | \(-0.366797\pi\) | |||||||
\(168\) | 0.818860 | − | 2.52019i | 0.0631764 | − | 0.194437i | ||||
\(169\) | 10.4618 | + | 7.60093i | 0.804753 | + | 0.584687i | ||||
\(170\) | 1.03949 | − | 3.19923i | 0.0797255 | − | 0.245370i | ||||
\(171\) | 1.47735 | − | 4.54681i | 0.112976 | − | 0.347703i | ||||
\(172\) | 5.71386 | + | 4.15137i | 0.435678 | + | 0.316539i | ||||
\(173\) | −1.28750 | + | 3.96251i | −0.0978867 | + | 0.301264i | −0.987995 | − | 0.154484i | \(-0.950628\pi\) |
0.890109 | + | 0.455749i | \(0.150628\pi\) | |||||||
\(174\) | −1.38432 | − | 4.26049i | −0.104945 | − | 0.322987i | ||||
\(175\) | 2.14380 | − | 1.55756i | 0.162056 | − | 0.117741i | ||||
\(176\) | −1.16601 | − | 3.58860i | −0.0878912 | − | 0.270501i | ||||
\(177\) | −3.83718 | − | 2.78788i | −0.288420 | − | 0.209550i | ||||
\(178\) | −4.84923 | − | 3.52317i | −0.363465 | − | 0.264073i | ||||
\(179\) | −9.96407 | + | 7.23932i | −0.744750 | + | 0.541092i | −0.894195 | − | 0.447678i | \(-0.852251\pi\) |
0.149445 | + | 0.988770i | \(0.452251\pi\) | |||||||
\(180\) | −1.00000 | −0.0745356 | ||||||||
\(181\) | −15.5982 | −1.15940 | −0.579702 | − | 0.814828i | \(-0.696831\pi\) | ||||
−0.579702 | + | 0.814828i | \(0.696831\pi\) | |||||||
\(182\) | 0.561190 | − | 0.407728i | 0.0415982 | − | 0.0302228i | ||||
\(183\) | −0.593202 | + | 1.82569i | −0.0438508 | + | 0.134959i | ||||
\(184\) | −2.36745 | − | 7.28625i | −0.174530 | − | 0.537149i | ||||
\(185\) | 6.85410 | 0.503924 | ||||||||
\(186\) | 1.08039 | + | 5.46194i | 0.0792184 | + | 0.400489i | ||||
\(187\) | 12.6928 | 0.928192 | ||||||||
\(188\) | −0.326352 | − | 1.00441i | −0.0238017 | − | 0.0732541i | ||||
\(189\) | 0.818860 | − | 2.52019i | 0.0595633 | − | 0.183317i | ||||
\(190\) | 3.86775 | − | 2.81008i | 0.280596 | − | 0.203865i | ||||
\(191\) | 12.9529 | 0.937240 | 0.468620 | − | 0.883400i | \(-0.344751\pi\) | ||||
0.468620 | + | 0.883400i | \(0.344751\pi\) | |||||||
\(192\) | −1.00000 | −0.0721688 | ||||||||
\(193\) | 2.91667 | − | 2.11909i | 0.209947 | − | 0.152535i | −0.477843 | − | 0.878445i | \(-0.658581\pi\) |
0.687790 | + | 0.725910i | \(0.258581\pi\) | |||||||
\(194\) | 5.68828 | + | 4.13278i | 0.408395 | + | 0.296716i | ||||
\(195\) | −0.211779 | − | 0.153866i | −0.0151658 | − | 0.0110186i | ||||
\(196\) | 0.00676897 | + | 0.0208327i | 0.000483498 | + | 0.00148805i | ||||
\(197\) | 20.3846 | − | 14.8103i | 1.45234 | − | 1.05519i | 0.467066 | − | 0.884222i | \(-0.345311\pi\) |
0.985277 | − | 0.170967i | \(-0.0546891\pi\) | |||||||
\(198\) | −1.16601 | − | 3.58860i | −0.0828646 | − | 0.255031i | ||||
\(199\) | −8.29708 | + | 25.5358i | −0.588165 | + | 1.81018i | −0.00199268 | + | 0.999998i | \(0.500634\pi\) |
−0.586172 | + | 0.810187i | \(0.699366\pi\) | |||||||
\(200\) | −0.809017 | − | 0.587785i | −0.0572061 | − | 0.0415627i | ||||
\(201\) | −1.24386 | + | 3.82822i | −0.0877354 | + | 0.270022i | ||||
\(202\) | 1.90410 | − | 5.86021i | 0.133972 | − | 0.412323i | ||||
\(203\) | 9.60370 | + | 6.97749i | 0.674047 | + | 0.489724i | ||||
\(204\) | 1.03949 | − | 3.19923i | 0.0727791 | − | 0.223991i | ||||
\(205\) | 0.633657 | + | 1.95020i | 0.0442565 | + | 0.136208i | ||||
\(206\) | 5.13944 | − | 3.73402i | 0.358082 | − | 0.260162i | ||||
\(207\) | −2.36745 | − | 7.28625i | −0.164549 | − | 0.506429i | ||||
\(208\) | −0.211779 | − | 0.153866i | −0.0146842 | − | 0.0106687i | ||||
\(209\) | 14.5941 | + | 10.6032i | 1.00950 | + | 0.733442i | ||||
\(210\) | 2.14380 | − | 1.55756i | 0.147937 | − | 0.107482i | ||||
\(211\) | −17.3117 | −1.19179 | −0.595893 | − | 0.803064i | \(-0.703202\pi\) | ||||
−0.595893 | + | 0.803064i | \(0.703202\pi\) | |||||||
\(212\) | −10.2120 | −0.701366 | ||||||||
\(213\) | 0.666814 | − | 0.484468i | 0.0456893 | − | 0.0331952i | ||||
\(214\) | −4.71349 | + | 14.5066i | −0.322207 | + | 0.991652i | ||||
\(215\) | 2.18250 | + | 6.71705i | 0.148845 | + | 0.458099i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −10.8235 | − | 10.0265i | −0.734745 | − | 0.680646i | ||||
\(218\) | 2.22018 | 0.150370 | ||||||||
\(219\) | 2.64293 | + | 8.13411i | 0.178593 | + | 0.549652i | ||||
\(220\) | 1.16601 | − | 3.58860i | 0.0786123 | − | 0.241944i | ||||
\(221\) | 0.712396 | − | 0.517586i | 0.0479210 | − | 0.0348166i | ||||
\(222\) | 6.85410 | 0.460017 | ||||||||
\(223\) | −22.9482 | −1.53673 | −0.768363 | − | 0.640014i | \(-0.778928\pi\) | ||||
−0.768363 | + | 0.640014i | \(0.778928\pi\) | |||||||
\(224\) | 2.14380 | − | 1.55756i | 0.143239 | − | 0.104069i | ||||
\(225\) | −0.809017 | − | 0.587785i | −0.0539345 | − | 0.0391857i | ||||
\(226\) | 3.27728 | + | 2.38108i | 0.218001 | + | 0.158387i | ||||
\(227\) | 0.396024 | + | 1.21884i | 0.0262851 | + | 0.0808971i | 0.963339 | − | 0.268289i | \(-0.0864582\pi\) |
−0.937053 | + | 0.349186i | \(0.886458\pi\) | |||||||
\(228\) | 3.86775 | − | 2.81008i | 0.256148 | − | 0.186102i | ||||
\(229\) | −3.99411 | − | 12.2926i | −0.263938 | − | 0.812317i | −0.991936 | − | 0.126738i | \(-0.959549\pi\) |
0.727998 | − | 0.685579i | \(-0.240451\pi\) | |||||||
\(230\) | 2.36745 | − | 7.28625i | 0.156105 | − | 0.480441i | ||||
\(231\) | 8.08918 | + | 5.87713i | 0.532229 | + | 0.386687i | ||||
\(232\) | 1.38432 | − | 4.26049i | 0.0908849 | − | 0.279715i | ||||
\(233\) | 1.48993 | − | 4.58552i | 0.0976083 | − | 0.300407i | −0.890316 | − | 0.455342i | \(-0.849517\pi\) |
0.987925 | + | 0.154935i | \(0.0495168\pi\) | |||||||
\(234\) | −0.211779 | − | 0.153866i | −0.0138444 | − | 0.0100586i | ||||
\(235\) | 0.326352 | − | 1.00441i | 0.0212889 | − | 0.0655204i | ||||
\(236\) | −1.46567 | − | 4.51088i | −0.0954072 | − | 0.293633i | ||||
\(237\) | −4.06969 | + | 2.95680i | −0.264354 | + | 0.192065i | ||||
\(238\) | 2.75454 | + | 8.47760i | 0.178550 | + | 0.549521i | ||||
\(239\) | −13.4153 | − | 9.74679i | −0.867764 | − | 0.630467i | 0.0622220 | − | 0.998062i | \(-0.480181\pi\) |
−0.929986 | + | 0.367595i | \(0.880181\pi\) | |||||||
\(240\) | −0.809017 | − | 0.587785i | −0.0522218 | − | 0.0379414i | ||||
\(241\) | 17.4932 | − | 12.7095i | 1.12683 | − | 0.818693i | 0.141603 | − | 0.989924i | \(-0.454774\pi\) |
0.985231 | + | 0.171231i | \(0.0547745\pi\) | |||||||
\(242\) | 3.23766 | 0.208125 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −1.55302 | + | 1.12834i | −0.0994222 | + | 0.0722344i | ||||
\(245\) | −0.00676897 | + | 0.0208327i | −0.000432454 | + | 0.00133096i | ||||
\(246\) | 0.633657 | + | 1.95020i | 0.0404005 | + | 0.124340i | ||||
\(247\) | 1.25148 | 0.0796301 | ||||||||
\(248\) | −2.33639 | + | 5.05384i | −0.148361 | + | 0.320919i | ||||
\(249\) | −11.3196 | −0.717351 | ||||||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −2.38223 | + | 7.33173i | −0.150365 | + | 0.462775i | −0.997662 | − | 0.0683442i | \(-0.978228\pi\) |
0.847297 | + | 0.531119i | \(0.178228\pi\) | |||||||
\(252\) | 2.14380 | − | 1.55756i | 0.135047 | − | 0.0981174i | ||||
\(253\) | 28.9079 | 1.81743 | ||||||||
\(254\) | 6.21873 | 0.390198 | ||||||||
\(255\) | 2.72143 | − | 1.97723i | 0.170422 | − | 0.123819i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −14.9973 | − | 10.8962i | −0.935508 | − | 0.679686i | 0.0118272 | − | 0.999930i | \(-0.496235\pi\) |
−0.947335 | + | 0.320244i | \(0.896235\pi\) | |||||||
\(258\) | 2.18250 | + | 6.71705i | 0.135877 | + | 0.418185i | ||||
\(259\) | −14.6939 | + | 10.6757i | −0.913032 | + | 0.663356i | ||||
\(260\) | −0.0808923 | − | 0.248961i | −0.00501673 | − | 0.0154399i | ||||
\(261\) | 1.38432 | − | 4.26049i | 0.0856871 | − | 0.263718i | ||||
\(262\) | −9.24191 | − | 6.71464i | −0.570967 | − | 0.414832i | ||||
\(263\) | 0.333705 | − | 1.02704i | 0.0205771 | − | 0.0633299i | −0.940241 | − | 0.340511i | \(-0.889400\pi\) |
0.960818 | + | 0.277181i | \(0.0894001\pi\) | |||||||
\(264\) | 1.16601 | − | 3.58860i | 0.0717629 | − | 0.220863i | ||||
\(265\) | −8.26172 | − | 6.00249i | −0.507513 | − | 0.368730i | ||||
\(266\) | −3.91481 | + | 12.0485i | −0.240032 | + | 0.738744i | ||||
\(267\) | −1.85224 | − | 5.70062i | −0.113355 | − | 0.348872i | ||||
\(268\) | −3.25648 | + | 2.36597i | −0.198921 | + | 0.144525i | ||||
\(269\) | −3.46620 | − | 10.6679i | −0.211338 | − | 0.650431i | −0.999393 | − | 0.0348269i | \(-0.988912\pi\) |
0.788055 | − | 0.615604i | \(-0.211088\pi\) | |||||||
\(270\) | −0.809017 | − | 0.587785i | −0.0492352 | − | 0.0357715i | ||||
\(271\) | −17.0825 | − | 12.4112i | −1.03769 | − | 0.753925i | −0.0678559 | − | 0.997695i | \(-0.521616\pi\) |
−0.969833 | + | 0.243770i | \(0.921616\pi\) | |||||||
\(272\) | 2.72143 | − | 1.97723i | 0.165011 | − | 0.119887i | ||||
\(273\) | 0.693669 | 0.0419828 | ||||||||
\(274\) | 16.9227 | 1.02234 | ||||||||
\(275\) | 3.05265 | − | 2.21788i | 0.184082 | − | 0.133743i | ||||
\(276\) | 2.36745 | − | 7.28625i | 0.142504 | − | 0.438581i | ||||
\(277\) | 3.53829 | + | 10.8897i | 0.212595 | + | 0.654301i | 0.999316 | + | 0.0369914i | \(0.0117774\pi\) |
−0.786720 | + | 0.617310i | \(0.788223\pi\) | |||||||
\(278\) | 8.86711 | 0.531814 | ||||||||
\(279\) | −2.33639 | + | 5.05384i | −0.139876 | + | 0.302565i | ||||
\(280\) | 2.64989 | 0.158361 | ||||||||
\(281\) | 2.62489 | + | 8.07857i | 0.156588 | + | 0.481927i | 0.998318 | − | 0.0579707i | \(-0.0184630\pi\) |
−0.841731 | + | 0.539898i | \(0.818463\pi\) | |||||||
\(282\) | 0.326352 | − | 1.00441i | 0.0194340 | − | 0.0598117i | ||||
\(283\) | 1.82756 | − | 1.32780i | 0.108637 | − | 0.0789295i | −0.532140 | − | 0.846656i | \(-0.678612\pi\) |
0.640777 | + | 0.767727i | \(0.278612\pi\) | |||||||
\(284\) | 0.824227 | 0.0489089 | ||||||||
\(285\) | 4.78080 | 0.283190 | ||||||||
\(286\) | 0.799101 | − | 0.580581i | 0.0472518 | − | 0.0343305i | ||||
\(287\) | −4.39599 | − | 3.19388i | −0.259487 | − | 0.188529i | ||||
\(288\) | −0.809017 | − | 0.587785i | −0.0476718 | − | 0.0346356i | ||||
\(289\) | −1.75657 | − | 5.40616i | −0.103328 | − | 0.318010i | ||||
\(290\) | 3.62419 | − | 2.63313i | 0.212820 | − | 0.154623i | ||||
\(291\) | 2.17273 | + | 6.68698i | 0.127368 | + | 0.391998i | ||||
\(292\) | −2.64293 | + | 8.13411i | −0.154666 | + | 0.476013i | ||||
\(293\) | −13.1386 | − | 9.54577i | −0.767567 | − | 0.557670i | 0.133655 | − | 0.991028i | \(-0.457329\pi\) |
−0.901222 | + | 0.433358i | \(0.857329\pi\) | |||||||
\(294\) | −0.00676897 | + | 0.0208327i | −0.000394774 | + | 0.00121499i | ||||
\(295\) | 1.46567 | − | 4.51088i | 0.0853348 | − | 0.262634i | ||||
\(296\) | 5.54508 | + | 4.02874i | 0.322302 | + | 0.234166i | ||||
\(297\) | 1.16601 | − | 3.58860i | 0.0676587 | − | 0.208232i | ||||
\(298\) | 1.08496 | + | 3.33915i | 0.0628498 | + | 0.193432i | ||||
\(299\) | 1.62248 | − | 1.17880i | 0.0938306 | − | 0.0681719i | ||||
\(300\) | −0.309017 | − | 0.951057i | −0.0178411 | − | 0.0549093i | ||||
\(301\) | −15.1411 | − | 11.0007i | −0.872718 | − | 0.634067i | ||||
\(302\) | −15.1219 | − | 10.9867i | −0.870168 | − | 0.632214i | ||||
\(303\) | 4.98499 | − | 3.62181i | 0.286380 | − | 0.208067i | ||||
\(304\) | 4.78080 | 0.274198 | ||||||||
\(305\) | −1.91964 | −0.109918 | ||||||||
\(306\) | 2.72143 | − | 1.97723i | 0.155574 | − | 0.113031i | ||||
\(307\) | −3.58854 | + | 11.0444i | −0.204809 | + | 0.630337i | 0.794912 | + | 0.606724i | \(0.207517\pi\) |
−0.999721 | + | 0.0236123i | \(0.992483\pi\) | |||||||
\(308\) | 3.08979 | + | 9.50940i | 0.176057 | + | 0.541848i | ||||
\(309\) | 6.35270 | 0.361392 | ||||||||
\(310\) | −4.86075 | + | 2.71535i | −0.276072 | + | 0.154221i | ||||
\(311\) | 20.9071 | 1.18553 | 0.592766 | − | 0.805375i | \(-0.298036\pi\) | ||||
0.592766 | + | 0.805375i | \(0.298036\pi\) | |||||||
\(312\) | −0.0808923 | − | 0.248961i | −0.00457962 | − | 0.0140946i | ||||
\(313\) | 1.77810 | − | 5.47242i | 0.100504 | − | 0.309320i | −0.888145 | − | 0.459563i | \(-0.848006\pi\) |
0.988649 | + | 0.150244i | \(0.0480059\pi\) | |||||||
\(314\) | 15.6496 | − | 11.3701i | 0.883157 | − | 0.641651i | ||||
\(315\) | 2.64989 | 0.149304 | ||||||||
\(316\) | −5.03041 | −0.282983 | ||||||||
\(317\) | −20.4047 | + | 14.8249i | −1.14604 | + | 0.832650i | −0.987950 | − | 0.154774i | \(-0.950535\pi\) |
−0.158094 | + | 0.987424i | \(0.550535\pi\) | |||||||
\(318\) | −8.26172 | − | 6.00249i | −0.463294 | − | 0.336603i | ||||
\(319\) | 13.6751 | + | 9.93554i | 0.765658 | + | 0.556283i | ||||
\(320\) | −0.309017 | − | 0.951057i | −0.0172746 | − | 0.0531657i | ||||
\(321\) | −12.3401 | + | 8.96558i | −0.688755 | + | 0.500410i | ||||
\(322\) | 6.27347 | + | 19.3077i | 0.349607 | + | 1.07598i | ||||
\(323\) | −4.96961 | + | 15.2949i | −0.276517 | + | 0.851030i | ||||
\(324\) | −0.809017 | − | 0.587785i | −0.0449454 | − | 0.0326547i | ||||
\(325\) | 0.0808923 | − | 0.248961i | 0.00448710 | − | 0.0138099i | ||||
\(326\) | 4.07861 | − | 12.5527i | 0.225894 | − | 0.695229i | ||||
\(327\) | 1.79616 | + | 1.30499i | 0.0993281 | + | 0.0721661i | ||||
\(328\) | −0.633657 | + | 1.95020i | −0.0349879 | + | 0.107682i | ||||
\(329\) | 0.864797 | + | 2.66157i | 0.0476778 | + | 0.146737i | ||||
\(330\) | 3.05265 | − | 2.21788i | 0.168043 | − | 0.122090i | ||||
\(331\) | −5.37658 | − | 16.5474i | −0.295524 | − | 0.909528i | −0.983045 | − | 0.183364i | \(-0.941301\pi\) |
0.687521 | − | 0.726164i | \(-0.258699\pi\) | |||||||
\(332\) | −9.15775 | − | 6.65350i | −0.502597 | − | 0.365158i | ||||
\(333\) | 5.54508 | + | 4.02874i | 0.303869 | + | 0.220774i | ||||
\(334\) | 15.5446 | − | 11.2938i | 0.850562 | − | 0.617969i | ||||
\(335\) | −4.02523 | −0.219922 | ||||||||
\(336\) | 2.64989 | 0.144563 | ||||||||
\(337\) | 9.62843 | − | 6.99546i | 0.524494 | − | 0.381067i | −0.293800 | − | 0.955867i | \(-0.594920\pi\) |
0.818294 | + | 0.574800i | \(0.194920\pi\) | |||||||
\(338\) | −3.99605 | + | 12.2986i | −0.217356 | + | 0.668954i | ||||
\(339\) | 1.25181 | + | 3.85267i | 0.0679890 | + | 0.209249i | ||||
\(340\) | 3.36387 | 0.182431 | ||||||||
\(341\) | −15.4120 | − | 14.2772i | −0.834606 | − | 0.773153i | ||||
\(342\) | 4.78080 | 0.258516 | ||||||||
\(343\) | 5.71409 | + | 17.5861i | 0.308532 | + | 0.949563i | ||||
\(344\) | −2.18250 | + | 6.71705i | −0.117673 | + | 0.362159i | ||||
\(345\) | 6.19805 | − | 4.50315i | 0.333692 | − | 0.242441i | ||||
\(346\) | −4.16643 | −0.223989 | ||||||||
\(347\) | −20.1620 | −1.08236 | −0.541178 | − | 0.840908i | \(-0.682021\pi\) | ||||
−0.541178 | + | 0.840908i | \(0.682021\pi\) | |||||||
\(348\) | 3.62419 | − | 2.63313i | 0.194277 | − | 0.141150i | ||||
\(349\) | 14.2698 | + | 10.3676i | 0.763843 | + | 0.554964i | 0.900087 | − | 0.435711i | \(-0.143503\pi\) |
−0.136244 | + | 0.990675i | \(0.543503\pi\) | |||||||
\(350\) | 2.14380 | + | 1.55756i | 0.114591 | + | 0.0832553i | ||||
\(351\) | −0.0808923 | − | 0.248961i | −0.00431771 | − | 0.0132885i | ||||
\(352\) | 3.05265 | − | 2.21788i | 0.162707 | − | 0.118213i | ||||
\(353\) | −9.87459 | − | 30.3909i | −0.525571 | − | 1.61754i | −0.763183 | − | 0.646182i | \(-0.776365\pi\) |
0.237612 | − | 0.971360i | \(-0.423635\pi\) | |||||||
\(354\) | 1.46567 | − | 4.51088i | 0.0778997 | − | 0.239751i | ||||
\(355\) | 0.666814 | + | 0.484468i | 0.0353908 | + | 0.0257129i | ||||
\(356\) | 1.85224 | − | 5.70062i | 0.0981686 | − | 0.302132i | ||||
\(357\) | −2.75454 | + | 8.47760i | −0.145786 | + | 0.448682i | ||||
\(358\) | −9.96407 | − | 7.23932i | −0.526618 | − | 0.382610i | ||||
\(359\) | 4.34721 | − | 13.3793i | 0.229437 | − | 0.706135i | −0.768374 | − | 0.640002i | \(-0.778934\pi\) |
0.997811 | − | 0.0661334i | \(-0.0210663\pi\) | |||||||
\(360\) | −0.309017 | − | 0.951057i | −0.0162866 | − | 0.0501251i | ||||
\(361\) | −3.11962 | + | 2.26654i | −0.164191 | + | 0.119292i | ||||
\(362\) | −4.82011 | − | 14.8348i | −0.253339 | − | 0.779698i | ||||
\(363\) | 2.61932 | + | 1.90305i | 0.137479 | + | 0.0998841i | ||||
\(364\) | 0.561190 | + | 0.407728i | 0.0294143 | + | 0.0213708i | ||||
\(365\) | −6.91929 | + | 5.02716i | −0.362172 | + | 0.263134i | ||||
\(366\) | −1.91964 | −0.100341 | ||||||||
\(367\) | 13.4970 | 0.704537 | 0.352268 | − | 0.935899i | \(-0.385410\pi\) | ||||
0.352268 | + | 0.935899i | \(0.385410\pi\) | |||||||
\(368\) | 6.19805 | − | 4.50315i | 0.323096 | − | 0.234743i | ||||
\(369\) | −0.633657 | + | 1.95020i | −0.0329869 | + | 0.101523i | ||||
\(370\) | 2.11803 | + | 6.51864i | 0.110111 | + | 0.338888i | ||||
\(371\) | 27.0608 | 1.40493 | ||||||||
\(372\) | −4.86075 | + | 2.71535i | −0.252018 | + | 0.140784i | ||||
\(373\) | −2.43206 | −0.125927 | −0.0629637 | − | 0.998016i | \(-0.520055\pi\) | ||||
−0.0629637 | + | 0.998016i | \(0.520055\pi\) | |||||||
\(374\) | 3.92230 | + | 12.0716i | 0.202817 | + | 0.624208i | ||||
\(375\) | 0.309017 | − | 0.951057i | 0.0159576 | − | 0.0491123i | ||||
\(376\) | 0.854401 | − | 0.620759i | 0.0440624 | − | 0.0320132i | ||||
\(377\) | 1.17268 | 0.0603959 | ||||||||
\(378\) | 2.64989 | 0.136296 | ||||||||
\(379\) | −24.9016 | + | 18.0921i | −1.27911 | + | 0.929329i | −0.999526 | − | 0.0307924i | \(-0.990197\pi\) |
−0.279585 | + | 0.960121i | \(0.590197\pi\) | |||||||
\(380\) | 3.86775 | + | 2.81008i | 0.198411 | + | 0.144154i | ||||
\(381\) | 5.03105 | + | 3.65528i | 0.257749 | + | 0.187265i | ||||
\(382\) | 4.00267 | + | 12.3190i | 0.204795 | + | 0.630293i | ||||
\(383\) | −18.1952 | + | 13.2196i | −0.929730 | + | 0.675488i | −0.945927 | − | 0.324380i | \(-0.894844\pi\) |
0.0161967 | + | 0.999869i | \(0.494844\pi\) | |||||||
\(384\) | −0.309017 | − | 0.951057i | −0.0157695 | − | 0.0485334i | ||||
\(385\) | −3.08979 | + | 9.50940i | −0.157470 | + | 0.484644i | ||||
\(386\) | 2.91667 | + | 2.11909i | 0.148455 | + | 0.107859i | ||||
\(387\) | −2.18250 | + | 6.71705i | −0.110943 | + | 0.341447i | ||||
\(388\) | −2.17273 | + | 6.68698i | −0.110304 | + | 0.339480i | ||||
\(389\) | −20.3543 | − | 14.7883i | −1.03201 | − | 0.749796i | −0.0632968 | − | 0.997995i | \(-0.520161\pi\) |
−0.968709 | + | 0.248198i | \(0.920161\pi\) | |||||||
\(390\) | 0.0808923 | − | 0.248961i | 0.00409614 | − | 0.0126066i | ||||
\(391\) | 7.96378 | + | 24.5100i | 0.402746 | + | 1.23952i | ||||
\(392\) | −0.0177214 | + | 0.0128753i | −0.000895065 | + | 0.000650303i | ||||
\(393\) | −3.53010 | − | 10.8645i | −0.178070 | − | 0.548043i | ||||
\(394\) | 20.3846 | + | 14.8103i | 1.02696 | + | 0.746131i | ||||
\(395\) | −4.06969 | − | 2.95680i | −0.204768 | − | 0.148773i | ||||
\(396\) | 3.05265 | − | 2.21788i | 0.153401 | − | 0.111453i | ||||
\(397\) | 10.2715 | 0.515511 | 0.257755 | − | 0.966210i | \(-0.417017\pi\) | ||||
0.257755 | + | 0.966210i | \(0.417017\pi\) | |||||||
\(398\) | −26.8499 | −1.34587 | ||||||||
\(399\) | −10.2491 | + | 7.44641i | −0.513097 | + | 0.372787i | ||||
\(400\) | 0.309017 | − | 0.951057i | 0.0154508 | − | 0.0475528i | ||||
\(401\) | 4.50166 | + | 13.8547i | 0.224802 | + | 0.691870i | 0.998312 | + | 0.0580853i | \(0.0184995\pi\) |
−0.773509 | + | 0.633785i | \(0.781500\pi\) | |||||||
\(402\) | −4.02523 | −0.200760 | ||||||||
\(403\) | −1.44720 | − | 0.172853i | −0.0720904 | − | 0.00861040i | ||||
\(404\) | 6.16178 | 0.306560 | ||||||||
\(405\) | −0.309017 | − | 0.951057i | −0.0153552 | − | 0.0472584i | ||||
\(406\) | −3.66829 | + | 11.2898i | −0.182054 | + | 0.560304i | ||||
\(407\) | −20.9232 | + | 15.2016i | −1.03712 | + | 0.753514i | ||||
\(408\) | 3.36387 | 0.166536 | ||||||||
\(409\) | −37.1194 | −1.83543 | −0.917717 | − | 0.397235i | \(-0.869970\pi\) | ||||
−0.917717 | + | 0.397235i | \(0.869970\pi\) | |||||||
\(410\) | −1.65894 | + | 1.20529i | −0.0819290 | + | 0.0595249i | ||||
\(411\) | 13.6908 | + | 9.94694i | 0.675317 | + | 0.490646i | ||||
\(412\) | 5.13944 | + | 3.73402i | 0.253202 | + | 0.183962i | ||||
\(413\) | 3.88387 | + | 11.9533i | 0.191113 | + | 0.588185i | ||||
\(414\) | 6.19805 | − | 4.50315i | 0.304618 | − | 0.221318i | ||||
\(415\) | −3.49795 | − | 10.7656i | −0.171708 | − | 0.528462i | ||||
\(416\) | 0.0808923 | − | 0.248961i | 0.00396607 | − | 0.0122063i | ||||
\(417\) | 7.17364 | + | 5.21195i | 0.351295 | + | 0.255231i | ||||
\(418\) | −5.57445 | + | 17.1564i | −0.272656 | + | 0.839147i | ||||
\(419\) | −11.1114 | + | 34.1975i | −0.542830 | + | 1.67066i | 0.183265 | + | 0.983064i | \(0.441333\pi\) |
−0.726095 | + | 0.687595i | \(0.758667\pi\) | |||||||
\(420\) | 2.14380 | + | 1.55756i | 0.104607 | + | 0.0760014i | ||||
\(421\) | −8.88769 | + | 27.3535i | −0.433160 | + | 1.33313i | 0.461801 | + | 0.886984i | \(0.347203\pi\) |
−0.894961 | + | 0.446145i | \(0.852797\pi\) | |||||||
\(422\) | −5.34961 | − | 16.4644i | −0.260415 | − | 0.801475i | ||||
\(423\) | 0.854401 | − | 0.620759i | 0.0415424 | − | 0.0301823i | ||||
\(424\) | −3.15570 | − | 9.71223i | −0.153254 | − | 0.471668i | ||||
\(425\) | 2.72143 | + | 1.97723i | 0.132009 | + | 0.0959099i | ||||
\(426\) | 0.666814 | + | 0.484468i | 0.0323072 | + | 0.0234726i | ||||
\(427\) | 4.11534 | − | 2.98997i | 0.199155 | − | 0.144695i | ||||
\(428\) | −15.2532 | −0.737289 | ||||||||
\(429\) | 0.987743 | 0.0476887 | ||||||||
\(430\) | −5.71386 | + | 4.15137i | −0.275547 | + | 0.200197i | ||||
\(431\) | 11.2475 | − | 34.6163i | 0.541774 | − | 1.66741i | −0.186764 | − | 0.982405i | \(-0.559800\pi\) |
0.728538 | − | 0.685005i | \(-0.240200\pi\) | |||||||
\(432\) | −0.309017 | − | 0.951057i | −0.0148676 | − | 0.0457577i | ||||
\(433\) | 20.9297 | 1.00582 | 0.502910 | − | 0.864339i | \(-0.332263\pi\) | ||||
0.502910 | + | 0.864339i | \(0.332263\pi\) | |||||||
\(434\) | 6.19117 | − | 13.3921i | 0.297185 | − | 0.642842i | ||||
\(435\) | 4.47975 | 0.214787 | ||||||||
\(436\) | 0.686074 | + | 2.11152i | 0.0328570 | + | 0.101123i | ||||
\(437\) | −11.3183 | + | 34.8341i | −0.541427 | + | 1.66634i | ||||
\(438\) | −6.91929 | + | 5.02716i | −0.330616 | + | 0.240207i | ||||
\(439\) | 9.59652 | 0.458017 | 0.229008 | − | 0.973424i | \(-0.426452\pi\) | ||||
0.229008 | + | 0.973424i | \(0.426452\pi\) | |||||||
\(440\) | 3.77328 | 0.179884 | ||||||||
\(441\) | −0.0177214 | + | 0.0128753i | −0.000843876 | + | 0.000613112i | ||||
\(442\) | 0.712396 | + | 0.517586i | 0.0338852 | + | 0.0246191i | ||||
\(443\) | 17.1453 | + | 12.4568i | 0.814599 | + | 0.591841i | 0.915160 | − | 0.403090i | \(-0.132064\pi\) |
−0.100561 | + | 0.994931i | \(0.532064\pi\) | |||||||
\(444\) | 2.11803 | + | 6.51864i | 0.100517 | + | 0.309361i | ||||
\(445\) | 4.84923 | − | 3.52317i | 0.229876 | − | 0.167014i | ||||
\(446\) | −7.09139 | − | 21.8250i | −0.335787 | − | 1.03345i | ||||
\(447\) | −1.08496 | + | 3.33915i | −0.0513167 | + | 0.157936i | ||||
\(448\) | 2.14380 | + | 1.55756i | 0.101285 | + | 0.0735880i | ||||
\(449\) | 5.01151 | − | 15.4238i | 0.236508 | − | 0.727896i | −0.760410 | − | 0.649443i | \(-0.775002\pi\) |
0.996918 | − | 0.0784525i | \(-0.0249979\pi\) | |||||||
\(450\) | 0.309017 | − | 0.951057i | 0.0145672 | − | 0.0448332i | ||||
\(451\) | −6.25963 | − | 4.54789i | −0.294755 | − | 0.214152i | ||||
\(452\) | −1.25181 | + | 3.85267i | −0.0588802 | + | 0.181215i | ||||
\(453\) | −5.77606 | − | 17.7769i | −0.271383 | − | 0.835231i | ||||
\(454\) | −1.03680 | + | 0.753283i | −0.0486597 | + | 0.0353533i | ||||
\(455\) | 0.214355 | + | 0.659718i | 0.0100491 | + | 0.0309281i | ||||
\(456\) | 3.86775 | + | 2.81008i | 0.181124 | + | 0.131594i | ||||
\(457\) | 18.9566 | + | 13.7728i | 0.886754 | + | 0.644264i | 0.935030 | − | 0.354570i | \(-0.115373\pi\) |
−0.0482759 | + | 0.998834i | \(0.515373\pi\) | |||||||
\(458\) | 10.4567 | − | 7.59724i | 0.488610 | − | 0.354996i | ||||
\(459\) | 3.36387 | 0.157012 | ||||||||
\(460\) | 7.66122 | 0.357206 | ||||||||
\(461\) | −12.7913 | + | 9.29341i | −0.595750 | + | 0.432837i | −0.844368 | − | 0.535764i | \(-0.820024\pi\) |
0.248618 | + | 0.968602i | \(0.420024\pi\) | |||||||
\(462\) | −3.08979 | + | 9.50940i | −0.143750 | + | 0.442417i | ||||
\(463\) | 0.750024 | + | 2.30834i | 0.0348566 | + | 0.107278i | 0.966971 | − | 0.254886i | \(-0.0820381\pi\) |
−0.932114 | + | 0.362164i | \(0.882038\pi\) | |||||||
\(464\) | 4.47975 | 0.207967 | ||||||||
\(465\) | −5.52847 | − | 0.660315i | −0.256377 | − | 0.0306214i | ||||
\(466\) | 4.82150 | 0.223352 | ||||||||
\(467\) | 5.08197 | + | 15.6407i | 0.235165 | + | 0.723765i | 0.997099 | + | 0.0761101i | \(0.0242500\pi\) |
−0.761934 | + | 0.647655i | \(0.775750\pi\) | |||||||
\(468\) | 0.0808923 | − | 0.248961i | 0.00373925 | − | 0.0115082i | ||||
\(469\) | 8.62930 | − | 6.26955i | 0.398464 | − | 0.289501i | ||||
\(470\) | 1.05610 | 0.0487142 | ||||||||
\(471\) | 19.3439 | 0.891322 | ||||||||
\(472\) | 3.83718 | − | 2.78788i | 0.176621 | − | 0.128322i | ||||
\(473\) | −21.5600 | − | 15.6643i | −0.991331 | − | 0.720244i | ||||
\(474\) | −4.06969 | − | 2.95680i | −0.186927 | − | 0.135810i | ||||
\(475\) | 1.47735 | + | 4.54681i | 0.0677854 | + | 0.208622i | ||||
\(476\) | −7.21148 | + | 5.23945i | −0.330538 | + | 0.240150i | ||||
\(477\) | −3.15570 | − | 9.71223i | −0.144489 | − | 0.444692i | ||||
\(478\) | 5.12419 | − | 15.7706i | 0.234375 | − | 0.721332i | ||||
\(479\) | −26.7154 | − | 19.4099i | −1.22066 | − | 0.886861i | −0.224505 | − | 0.974473i | \(-0.572077\pi\) |
−0.996155 | + | 0.0876115i | \(0.972077\pi\) | |||||||
\(480\) | 0.309017 | − | 0.951057i | 0.0141046 | − | 0.0434096i | ||||
\(481\) | −0.554444 | + | 1.70640i | −0.0252805 | + | 0.0778053i | ||||
\(482\) | 17.4932 | + | 12.7095i | 0.796792 | + | 0.578903i | ||||
\(483\) | −6.27347 | + | 19.3077i | −0.285453 | + | 0.878533i | ||||
\(484\) | 1.00049 | + | 3.07920i | 0.0454769 | + | 0.139963i | ||||
\(485\) | −5.68828 | + | 4.13278i | −0.258292 | + | 0.187660i | ||||
\(486\) | −0.309017 | − | 0.951057i | −0.0140173 | − | 0.0431408i | ||||
\(487\) | −30.8094 | − | 22.3843i | −1.39611 | − | 1.01433i | −0.995164 | − | 0.0982290i | \(-0.968682\pi\) |
−0.400944 | − | 0.916103i | \(-0.631318\pi\) | |||||||
\(488\) | −1.55302 | − | 1.12834i | −0.0703021 | − | 0.0510775i | ||||
\(489\) | 10.6779 | − | 7.75798i | 0.482874 | − | 0.350828i | ||||
\(490\) | −0.0219048 | −0.000989560 | ||||||||
\(491\) | 14.0274 | 0.633046 | 0.316523 | − | 0.948585i | \(-0.397485\pi\) | ||||
0.316523 | + | 0.948585i | \(0.397485\pi\) | |||||||
\(492\) | −1.65894 | + | 1.20529i | −0.0747906 | + | 0.0543385i | ||||
\(493\) | −4.65666 | + | 14.3317i | −0.209726 | + | 0.645469i | ||||
\(494\) | 0.386730 | + | 1.19023i | 0.0173998 | + | 0.0535511i | ||||
\(495\) | 3.77328 | 0.169596 | ||||||||
\(496\) | −5.52847 | − | 0.660315i | −0.248236 | − | 0.0296490i | ||||
\(497\) | −2.18411 | −0.0979707 | ||||||||
\(498\) | −3.49795 | − | 10.7656i | −0.156747 | − | 0.482417i | ||||
\(499\) | 3.59328 | − | 11.0590i | 0.160857 | − | 0.495067i | −0.837850 | − | 0.545900i | \(-0.816188\pi\) |
0.998707 | + | 0.0508332i | \(0.0161877\pi\) | |||||||
\(500\) | 0.809017 | − | 0.587785i | 0.0361803 | − | 0.0262866i | ||||
\(501\) | 19.2142 | 0.858425 | ||||||||
\(502\) | −7.70904 | −0.344071 | ||||||||
\(503\) | −23.9399 | + | 17.3934i | −1.06743 | + | 0.775533i | −0.975448 | − | 0.220228i | \(-0.929320\pi\) |
−0.0919811 | + | 0.995761i | \(0.529320\pi\) | |||||||
\(504\) | 2.14380 | + | 1.55756i | 0.0954926 | + | 0.0693795i | ||||
\(505\) | 4.98499 | + | 3.62181i | 0.221829 | + | 0.161168i | ||||
\(506\) | 8.93304 | + | 27.4931i | 0.397122 | + | 1.22222i | ||||
\(507\) | −10.4618 | + | 7.60093i | −0.464624 | + | 0.337569i | ||||
\(508\) | 1.92169 | + | 5.91436i | 0.0852613 | + | 0.262407i | ||||
\(509\) | −7.02104 | + | 21.6085i | −0.311202 | + | 0.957782i | 0.666088 | + | 0.745874i | \(0.267968\pi\) |
−0.977290 | + | 0.211908i | \(0.932032\pi\) | |||||||
\(510\) | 2.72143 | + | 1.97723i | 0.120507 | + | 0.0875534i | ||||
\(511\) | 7.00348 | − | 21.5545i | 0.309816 | − | 0.953514i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 3.86775 | + | 2.81008i | 0.170765 | + | 0.124068i | ||||
\(514\) | 5.72847 | − | 17.6304i | 0.252672 | − | 0.777645i | ||||
\(515\) | 1.96309 | + | 6.04177i | 0.0865041 | + | 0.266232i | ||||
\(516\) | −5.71386 | + | 4.15137i | −0.251539 | + | 0.182754i | ||||
\(517\) | 1.23142 | + | 3.78992i | 0.0541578 | + | 0.166680i | ||||
\(518\) | −14.6939 | − | 10.6757i | −0.645611 | − | 0.469064i | ||||
\(519\) | −3.37071 | − | 2.44897i | −0.147958 | − | 0.107498i | ||||
\(520\) | 0.211779 | − | 0.153866i | 0.00928711 | − | 0.00674748i | ||||
\(521\) | 22.7771 | 0.997885 | 0.498943 | − | 0.866635i | \(-0.333722\pi\) | ||||
0.498943 | + | 0.866635i | \(0.333722\pi\) | |||||||
\(522\) | 4.47975 | 0.196073 | ||||||||
\(523\) | 8.37938 | − | 6.08798i | 0.366405 | − | 0.266209i | −0.389314 | − | 0.921105i | \(-0.627288\pi\) |
0.755719 | + | 0.654897i | \(0.227288\pi\) | |||||||
\(524\) | 3.53010 | − | 10.8645i | 0.154213 | − | 0.474619i | ||||
\(525\) | 0.818860 | + | 2.52019i | 0.0357380 | + | 0.109990i | ||||
\(526\) | 1.07989 | 0.0470855 | ||||||||
\(527\) | 7.85931 | − | 17.0005i | 0.342357 | − | 0.740552i | ||||
\(528\) | 3.77328 | 0.164211 | ||||||||
\(529\) | 11.0301 | + | 33.9472i | 0.479571 | + | 1.47597i | ||||
\(530\) | 3.15570 | − | 9.71223i | 0.137075 | − | 0.421872i | ||||
\(531\) | 3.83718 | − | 2.78788i | 0.166520 | − | 0.120984i | ||||
\(532\) | −12.6686 | −0.549253 | ||||||||
\(533\) | −0.536780 | −0.0232505 | ||||||||
\(534\) | 4.84923 | − | 3.52317i | 0.209847 | − | 0.152463i | ||||
\(535\) | −12.3401 | − | 8.96558i | −0.533507 | − | 0.387616i | ||||
\(536\) | −3.25648 | − | 2.36597i | −0.140658 | − | 0.102194i | ||||
\(537\) | −3.80594 | − | 11.7135i | −0.164238 | − | 0.505473i | ||||
\(538\) | 9.07463 | − | 6.59310i | 0.391235 | − | 0.284249i | ||||
\(539\) | −0.0255412 | − | 0.0786078i | −0.00110014 | − | 0.00338588i | ||||
\(540\) | 0.309017 | − | 0.951057i | 0.0132980 | − | 0.0409270i | ||||
\(541\) | −23.1012 | − | 16.7840i | −0.993196 | − | 0.721599i | −0.0325776 | − | 0.999469i | \(-0.510372\pi\) |
−0.960619 | + | 0.277870i | \(0.910372\pi\) | |||||||
\(542\) | 6.52494 | − | 20.0817i | 0.280270 | − | 0.862583i | ||||
\(543\) | 4.82011 | − | 14.8348i | 0.206851 | − | 0.636621i | ||||
\(544\) | 2.72143 | + | 1.97723i | 0.116680 | + | 0.0847732i | ||||
\(545\) | −0.686074 | + | 2.11152i | −0.0293882 | + | 0.0904475i | ||||
\(546\) | 0.214355 | + | 0.659718i | 0.00917357 | + | 0.0282333i | ||||
\(547\) | 21.5125 | − | 15.6298i | 0.919808 | − | 0.668280i | −0.0236680 | − | 0.999720i | \(-0.507534\pi\) |
0.943476 | + | 0.331440i | \(0.107534\pi\) | |||||||
\(548\) | 5.22942 | + | 16.0945i | 0.223390 | + | 0.687522i | ||||
\(549\) | −1.55302 | − | 1.12834i | −0.0662814 | − | 0.0481563i | ||||
\(550\) | 3.05265 | + | 2.21788i | 0.130165 | + | 0.0945707i | ||||
\(551\) | −17.3265 | + | 12.5885i | −0.738135 | + | 0.536287i | ||||
\(552\) | 7.66122 | 0.326083 | ||||||||
\(553\) | 13.3300 | 0.566850 | ||||||||
\(554\) | −9.26337 | + | 6.73023i | −0.393563 | + | 0.285940i | ||||
\(555\) | −2.11803 | + | 6.51864i | −0.0899055 | + | 0.276701i | ||||
\(556\) | 2.74009 | + | 8.43312i | 0.116206 | + | 0.357644i | ||||
\(557\) | −10.3004 | −0.436444 | −0.218222 | − | 0.975899i | \(-0.570026\pi\) | ||||
−0.218222 | + | 0.975899i | \(0.570026\pi\) | |||||||
\(558\) | −5.52847 | − | 0.660315i | −0.234039 | − | 0.0279534i | ||||
\(559\) | −1.84883 | −0.0781972 | ||||||||
\(560\) | 0.818860 | + | 2.52019i | 0.0346032 | + | 0.106498i | ||||
\(561\) | −3.92230 | + | 12.0716i | −0.165600 | + | 0.509663i | ||||
\(562\) | −6.87204 | + | 4.99283i | −0.289879 | + | 0.210610i | ||||
\(563\) | −3.92067 | −0.165237 | −0.0826184 | − | 0.996581i | \(-0.526328\pi\) | ||||
−0.0826184 | + | 0.996581i | \(0.526328\pi\) | |||||||
\(564\) | 1.05610 | 0.0444698 | ||||||||
\(565\) | −3.27728 | + | 2.38108i | −0.137876 | + | 0.100173i | ||||
\(566\) | 1.82756 | + | 1.32780i | 0.0768181 | + | 0.0558116i | ||||
\(567\) | 2.14380 | + | 1.55756i | 0.0900313 | + | 0.0654116i | ||||
\(568\) | 0.254700 | + | 0.783886i | 0.0106870 | + | 0.0328911i | ||||
\(569\) | −34.6204 | + | 25.1532i | −1.45136 | + | 1.05448i | −0.465853 | + | 0.884862i | \(0.654253\pi\) |
−0.985510 | + | 0.169615i | \(0.945747\pi\) | |||||||
\(570\) | 1.47735 | + | 4.54681i | 0.0618793 | + | 0.190445i | ||||
\(571\) | −3.49711 | + | 10.7630i | −0.146350 | + | 0.450418i | −0.997182 | − | 0.0750192i | \(-0.976098\pi\) |
0.850832 | + | 0.525437i | \(0.176098\pi\) | |||||||
\(572\) | 0.799101 | + | 0.580581i | 0.0334121 | + | 0.0242753i | ||||
\(573\) | −4.00267 | + | 12.3190i | −0.167214 | + | 0.514632i | ||||
\(574\) | 1.67912 | − | 5.16780i | 0.0700851 | − | 0.215700i | ||||
\(575\) | 6.19805 | + | 4.50315i | 0.258477 | + | 0.187794i | ||||
\(576\) | 0.309017 | − | 0.951057i | 0.0128757 | − | 0.0396274i | ||||
\(577\) | −7.67148 | − | 23.6104i | −0.319368 | − | 0.982914i | −0.973919 | − | 0.226896i | \(-0.927142\pi\) |
0.654551 | − | 0.756018i | \(-0.272858\pi\) | |||||||
\(578\) | 4.59876 | − | 3.34119i | 0.191283 | − | 0.138975i | ||||
\(579\) | 1.11407 | + | 3.42876i | 0.0462992 | + | 0.142494i | ||||
\(580\) | 3.62419 | + | 2.63313i | 0.150486 | + | 0.109335i | ||||
\(581\) | 24.2670 | + | 17.6310i | 1.00677 | + | 0.731458i | ||||
\(582\) | −5.68828 | + | 4.13278i | −0.235787 | + | 0.171309i | ||||
\(583\) | 38.5329 | 1.59587 | ||||||||
\(584\) | −8.55271 | −0.353914 | ||||||||
\(585\) | 0.211779 | − | 0.153866i | 0.00875597 | − | 0.00636159i | ||||
\(586\) | 5.01851 | − | 15.4454i | 0.207313 | − | 0.638043i | ||||
\(587\) | 14.7100 | + | 45.2726i | 0.607145 | + | 1.86860i | 0.481313 | + | 0.876549i | \(0.340160\pi\) |
0.125832 | + | 0.992052i | \(0.459840\pi\) | |||||||
\(588\) | −0.0219048 | −0.000903341 | ||||||||
\(589\) | 23.2383 | − | 12.9815i | 0.957517 | − | 0.534895i | ||||
\(590\) | 4.74302 | 0.195267 | ||||||||
\(591\) | 7.78623 | + | 23.9635i | 0.320283 | + | 0.985729i | ||||
\(592\) | −2.11803 | + | 6.51864i | −0.0870507 | + | 0.267914i | ||||
\(593\) | 1.02412 | − | 0.744067i | 0.0420556 | − | 0.0305552i | −0.566559 | − | 0.824021i | \(-0.691726\pi\) |
0.608614 | + | 0.793466i | \(0.291726\pi\) | |||||||
\(594\) | 3.77328 | 0.154820 | ||||||||
\(595\) | −8.91388 | −0.365433 | ||||||||
\(596\) | −2.84045 | + | 2.06371i | −0.116349 | + | 0.0845328i | ||||
\(597\) | −21.7220 | − | 15.7820i | −0.889024 | − | 0.645914i | ||||
\(598\) | 1.62248 | + | 1.17880i | 0.0663483 | + | 0.0482048i | ||||
\(599\) | −1.04605 | − | 3.21943i | −0.0427406 | − | 0.131542i | 0.927409 | − | 0.374048i | \(-0.122031\pi\) |
−0.970150 | + | 0.242506i | \(0.922031\pi\) | |||||||
\(600\) | 0.809017 | − | 0.587785i | 0.0330280 | − | 0.0239962i | ||||
\(601\) | 4.48156 | + | 13.7928i | 0.182807 | + | 0.562621i | 0.999904 | − | 0.0138794i | \(-0.00441808\pi\) |
−0.817097 | + | 0.576500i | \(0.804418\pi\) | |||||||
\(602\) | 5.78338 | − | 17.7994i | 0.235713 | − | 0.725451i | ||||
\(603\) | −3.25648 | − | 2.36597i | −0.132614 | − | 0.0963497i | ||||
\(604\) | 5.77606 | − | 17.7769i | 0.235024 | − | 0.723331i | ||||
\(605\) | −1.00049 | + | 3.07920i | −0.0406758 | + | 0.125187i | ||||
\(606\) | 4.98499 | + | 3.62181i | 0.202501 | + | 0.147126i | ||||
\(607\) | 3.68466 | − | 11.3402i | 0.149556 | − | 0.460285i | −0.848013 | − | 0.529976i | \(-0.822201\pi\) |
0.997569 | + | 0.0696902i | \(0.0222011\pi\) | |||||||
\(608\) | 1.47735 | + | 4.54681i | 0.0599144 | + | 0.184398i | ||||
\(609\) | −9.60370 | + | 6.97749i | −0.389161 | + | 0.282742i | ||||
\(610\) | −0.593202 | − | 1.82569i | −0.0240181 | − | 0.0739200i | ||||
\(611\) | 0.223659 | + | 0.162498i | 0.00904828 | + | 0.00657396i | ||||
\(612\) | 2.72143 | + | 1.97723i | 0.110007 | + | 0.0799249i | ||||
\(613\) | −9.21920 | + | 6.69814i | −0.372360 | + | 0.270535i | −0.758189 | − | 0.652035i | \(-0.773916\pi\) |
0.385829 | + | 0.922570i | \(0.373916\pi\) | |||||||
\(614\) | −11.6128 | −0.468653 | ||||||||
\(615\) | −2.05056 | −0.0826864 | ||||||||
\(616\) | −8.08918 | + | 5.87713i | −0.325922 | + | 0.236796i | ||||
\(617\) | 8.64693 | − | 26.6125i | 0.348112 | − | 1.07138i | −0.611784 | − | 0.791025i | \(-0.709548\pi\) |
0.959896 | − | 0.280355i | \(-0.0904521\pi\) | |||||||
\(618\) | 1.96309 | + | 6.04177i | 0.0789671 | + | 0.243036i | ||||
\(619\) | −34.2713 | −1.37748 | −0.688740 | − | 0.725008i | \(-0.741836\pi\) | ||||
−0.688740 | + | 0.725008i | \(0.741836\pi\) | |||||||
\(620\) | −4.08450 | − | 3.78376i | −0.164038 | − | 0.151959i | ||||
\(621\) | 7.66122 | 0.307434 | ||||||||
\(622\) | 6.46064 | + | 19.8838i | 0.259048 | + | 0.797269i | ||||
\(623\) | −4.90823 | + | 15.1060i | −0.196644 | + | 0.605209i | ||||
\(624\) | 0.211779 | − | 0.153866i | 0.00847794 | − | 0.00615958i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 5.75405 | 0.229978 | ||||||||
\(627\) | −14.5941 | + | 10.6032i | −0.582833 | + | 0.423453i | ||||
\(628\) | 15.6496 | + | 11.3701i | 0.624486 | + | 0.453716i | ||||
\(629\) | −18.6529 | − | 13.5522i | −0.743742 | − | 0.540360i | ||||
\(630\) | 0.818860 | + | 2.52019i | 0.0326242 | + | 0.100407i | ||||
\(631\) | 2.47155 | − | 1.79569i | 0.0983910 | − | 0.0714852i | −0.537502 | − | 0.843262i | \(-0.680632\pi\) |
0.635893 | + | 0.771777i | \(0.280632\pi\) | |||||||
\(632\) | −1.55448 | − | 4.78420i | −0.0618340 | − | 0.190305i | ||||
\(633\) | 5.34961 | − | 16.4644i | 0.212628 | − | 0.654401i | ||||
\(634\) | −20.4047 | − | 14.8249i | −0.810375 | − | 0.588772i | ||||
\(635\) | −1.92169 | + | 5.91436i | −0.0762600 | + | 0.234704i | ||||
\(636\) | 3.15570 | − | 9.71223i | 0.125131 | − | 0.385115i | ||||
\(637\) | −0.00463898 | − | 0.00337042i | −0.000183803 | − | 0.000133541i | ||||
\(638\) | −5.22342 | + | 16.0760i | −0.206797 | + | 0.636456i | ||||
\(639\) | 0.254700 | + | 0.783886i | 0.0100758 | + | 0.0310101i | ||||
\(640\) | 0.809017 | − | 0.587785i | 0.0319792 | − | 0.0232343i | ||||
\(641\) | −0.883530 | − | 2.71923i | −0.0348973 | − | 0.107403i | 0.932091 | − | 0.362225i | \(-0.117983\pi\) |
−0.966988 | + | 0.254823i | \(0.917983\pi\) | |||||||
\(642\) | −12.3401 | − | 8.96558i | −0.487023 | − | 0.353843i | ||||
\(643\) | 3.82110 | + | 2.77619i | 0.150689 | + | 0.109482i | 0.660575 | − | 0.750760i | \(-0.270312\pi\) |
−0.509886 | + | 0.860242i | \(0.670312\pi\) | |||||||
\(644\) | −16.4241 | + | 11.9328i | −0.647202 | + | 0.470220i | ||||
\(645\) | −7.06272 | −0.278094 | ||||||||
\(646\) | −16.0820 | −0.632738 | ||||||||
\(647\) | −19.8790 | + | 14.4430i | −0.781525 | + | 0.567811i | −0.905436 | − | 0.424482i | \(-0.860456\pi\) |
0.123911 | + | 0.992293i | \(0.460456\pi\) | |||||||
\(648\) | 0.309017 | − | 0.951057i | 0.0121393 | − | 0.0373610i | ||||
\(649\) | 5.53040 | + | 17.0208i | 0.217087 | + | 0.668126i | ||||
\(650\) | 0.261773 | 0.0102676 | ||||||||
\(651\) | 12.8804 | − | 7.19537i | 0.504824 | − | 0.282009i | ||||
\(652\) | 13.1987 | 0.516900 | ||||||||
\(653\) | −0.190651 | − | 0.586762i | −0.00746073 | − | 0.0229618i | 0.947257 | − | 0.320475i | \(-0.103843\pi\) |
−0.954718 | + | 0.297514i | \(0.903843\pi\) | |||||||
\(654\) | −0.686074 | + | 2.11152i | −0.0268276 | + | 0.0825669i | ||||
\(655\) | 9.24191 | − | 6.71464i | 0.361111 | − | 0.262363i | ||||
\(656\) | −2.05056 | −0.0800608 | ||||||||
\(657\) | −8.55271 | −0.333673 | ||||||||
\(658\) | −2.26407 | + | 1.64494i | −0.0882625 | + | 0.0641265i | ||||
\(659\) | 14.7501 | + | 10.7166i | 0.574583 | + | 0.417459i | 0.836767 | − | 0.547559i | \(-0.184443\pi\) |
−0.262184 | + | 0.965018i | \(0.584443\pi\) | |||||||
\(660\) | 3.05265 | + | 2.21788i | 0.118824 | + | 0.0863308i | ||||
\(661\) | 10.2128 | + | 31.4318i | 0.397233 | + | 1.22256i | 0.927209 | + | 0.374544i | \(0.122201\pi\) |
−0.529976 | + | 0.848012i | \(0.677799\pi\) | |||||||
\(662\) | 14.0761 | − | 10.2269i | 0.547082 | − | 0.397478i | ||||
\(663\) | 0.272111 | + | 0.837472i | 0.0105679 | + | 0.0325247i | ||||
\(664\) | 3.49795 | − | 10.7656i | 0.135747 | − | 0.417786i | ||||
\(665\) | −10.2491 | − | 7.44641i | −0.397443 | − | 0.288759i | ||||
\(666\) | −2.11803 | + | 6.51864i | −0.0820721 | + | 0.252592i | ||||
\(667\) | −10.6056 | + | 32.6405i | −0.410649 | + | 1.26385i | ||||
\(668\) | 15.5446 | + | 11.2938i | 0.601438 | + | 0.436970i | ||||
\(669\) | 7.09139 | − | 21.8250i | 0.274169 | − | 0.843805i | ||||
\(670\) | −1.24386 | − | 3.82822i | −0.0480546 | − | 0.147897i | ||||
\(671\) | 5.86000 | − | 4.25754i | 0.226223 | − | 0.164360i | ||||
\(672\) | 0.818860 | + | 2.52019i | 0.0315882 | + | 0.0972186i | ||||
\(673\) | 17.8325 | + | 12.9561i | 0.687394 | + | 0.499421i | 0.875802 | − | 0.482670i | \(-0.160333\pi\) |
−0.188408 | + | 0.982091i | \(0.560333\pi\) | |||||||
\(674\) | 9.62843 | + | 6.99546i | 0.370873 | + | 0.269455i | ||||
\(675\) | 0.809017 | − | 0.587785i | 0.0311391 | − | 0.0226239i | ||||
\(676\) | −12.9315 | −0.497364 | ||||||||
\(677\) | 7.61209 | 0.292556 | 0.146278 | − | 0.989243i | \(-0.453271\pi\) | ||||
0.146278 | + | 0.989243i | \(0.453271\pi\) | |||||||
\(678\) | −3.27728 | + | 2.38108i | −0.125863 | + | 0.0914450i | ||||
\(679\) | 5.75749 | − | 17.7197i | 0.220952 | − | 0.680021i | ||||
\(680\) | 1.03949 | + | 3.19923i | 0.0398627 | + | 0.122685i | ||||
\(681\) | −1.28156 | −0.0491095 | ||||||||
\(682\) | 8.81585 | − | 19.0696i | 0.337576 | − | 0.730211i | ||||
\(683\) | −7.79093 | −0.298112 | −0.149056 | − | 0.988829i | \(-0.547623\pi\) | ||||
−0.149056 | + | 0.988829i | \(0.547623\pi\) | |||||||
\(684\) | 1.47735 | + | 4.54681i | 0.0564879 | + | 0.173852i | ||||
\(685\) | −5.22942 | + | 16.0945i | −0.199806 | + | 0.614939i | ||||
\(686\) | −14.9597 | + | 10.8688i | −0.571163 | + | 0.414974i | ||||
\(687\) | 12.9252 | 0.493127 | ||||||||
\(688\) | −7.06272 | −0.269264 | ||||||||
\(689\) | 2.16269 | − | 1.57129i | 0.0823921 | − | 0.0598614i | ||||
\(690\) | 6.19805 | + | 4.50315i | 0.235956 | + | 0.171432i | ||||
\(691\) | −8.56404 | − | 6.22214i | −0.325791 | − | 0.236701i | 0.412851 | − | 0.910798i | \(-0.364533\pi\) |
−0.738643 | + | 0.674097i | \(0.764533\pi\) | |||||||
\(692\) | −1.28750 | − | 3.96251i | −0.0489433 | − | 0.150632i | ||||
\(693\) | −8.08918 | + | 5.87713i | −0.307282 | + | 0.223254i | ||||
\(694\) | −6.23042 | − | 19.1752i | −0.236503 | − | 0.727882i | ||||
\(695\) | −2.74009 | + | 8.43312i | −0.103937 | + | 0.319886i | ||||
\(696\) | 3.62419 | + | 2.63313i | 0.137375 | + | 0.0998085i | ||||
\(697\) | 2.13154 | − | 6.56021i | 0.0807378 | − | 0.248485i | ||||
\(698\) | −5.45056 | + | 16.7751i | −0.206307 | + | 0.634947i | ||||
\(699\) | 3.90068 | + | 2.83401i | 0.147537 | + | 0.107192i | ||||
\(700\) | −0.818860 | + | 2.52019i | −0.0309500 | + | 0.0952543i | ||||
\(701\) | 0.507677 | + | 1.56247i | 0.0191747 | + | 0.0590136i | 0.960186 | − | 0.279361i | \(-0.0901228\pi\) |
−0.941011 | + | 0.338375i | \(0.890123\pi\) | |||||||
\(702\) | 0.211779 | − | 0.153866i | 0.00799307 | − | 0.00580731i | ||||
\(703\) | −10.1259 | − | 31.1643i | −0.381906 | − | 1.17538i | ||||
\(704\) | 3.05265 | + | 2.21788i | 0.115051 | + | 0.0835895i | ||||
\(705\) | 0.854401 | + | 0.620759i | 0.0321786 | + | 0.0233791i | ||||
\(706\) | 25.8520 | − | 18.7826i | 0.972953 | − | 0.706892i | ||||
\(707\) | −16.3280 | −0.614079 | ||||||||
\(708\) | 4.74302 | 0.178254 | ||||||||
\(709\) | 17.6756 | − | 12.8420i | 0.663819 | − | 0.482293i | −0.204131 | − | 0.978944i | \(-0.565437\pi\) |
0.867951 | + | 0.496651i | \(0.165437\pi\) | |||||||
\(710\) | −0.254700 | + | 0.783886i | −0.00955873 | + | 0.0294187i | ||||
\(711\) | −1.55448 | − | 4.78420i | −0.0582976 | − | 0.179422i | ||||
\(712\) | 5.99398 | 0.224634 | ||||||||
\(713\) | 17.8996 | − | 38.7186i | 0.670344 | − | 1.45002i | ||||
\(714\) | −8.91388 | −0.333594 | ||||||||
\(715\) | 0.305229 | + | 0.939400i | 0.0114149 | + | 0.0351316i | ||||
\(716\) | 3.80594 | − | 11.7135i | 0.142235 | − | 0.437753i | ||||
\(717\) | 13.4153 | − | 9.74679i | 0.501004 | − | 0.364001i | ||||
\(718\) | 14.0679 | 0.525009 | ||||||||
\(719\) | −36.8919 | −1.37584 | −0.687918 | − | 0.725789i | \(-0.741475\pi\) | ||||
−0.687918 | + | 0.725789i | \(0.741475\pi\) | |||||||
\(720\) | 0.809017 | − | 0.587785i | 0.0301503 | − | 0.0219055i | ||||
\(721\) | −13.6189 | − | 9.89474i | −0.507196 | − | 0.368499i | ||||
\(722\) | −3.11962 | − | 2.26654i | −0.116100 | − | 0.0843519i | ||||
\(723\) | 6.68179 | + | 20.5644i | 0.248499 | + | 0.764800i | ||||
\(724\) | 12.6192 | − | 9.16839i | 0.468989 | − | 0.340740i | ||||
\(725\) | 1.38432 | + | 4.26049i | 0.0514123 | + | 0.158231i | ||||
\(726\) | −1.00049 | + | 3.07920i | −0.0371317 | + | 0.114280i | ||||
\(727\) | 37.5069 | + | 27.2503i | 1.39105 | + | 1.01066i | 0.995749 | + | 0.0921088i | \(0.0293607\pi\) |
0.395304 | + | 0.918550i | \(0.370639\pi\) | |||||||
\(728\) | −0.214355 | + | 0.659718i | −0.00794454 | + | 0.0244508i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −6.91929 | − | 5.02716i | −0.256094 | − | 0.186063i | ||||
\(731\) | 7.34165 | − | 22.5953i | 0.271541 | − | 0.835717i | ||||
\(732\) | −0.593202 | − | 1.82569i | −0.0219254 | − | 0.0674794i | ||||
\(733\) | −29.9370 | + | 21.7505i | −1.10575 | + | 0.803373i | −0.981989 | − | 0.188939i | \(-0.939495\pi\) |
−0.123760 | + | 0.992312i | \(0.539495\pi\) | |||||||
\(734\) | 4.17080 | + | 12.8364i | 0.153947 | + | 0.473800i | ||||
\(735\) | −0.0177214 | − | 0.0128753i | −0.000653663 | − | 0.000474914i | ||||
\(736\) | 6.19805 | + | 4.50315i | 0.228463 | + | 0.165988i | ||||
\(737\) | 12.2876 | − | 8.92747i | 0.452620 | − | 0.328848i | ||||
\(738\) | −2.05056 | −0.0754820 | ||||||||
\(739\) | 5.34102 | 0.196473 | 0.0982363 | − | 0.995163i | \(-0.468680\pi\) | ||||
0.0982363 | + | 0.995163i | \(0.468680\pi\) | |||||||
\(740\) | −5.54508 | + | 4.02874i | −0.203841 | + | 0.148099i | ||||
\(741\) | −0.386730 | + | 1.19023i | −0.0142069 | + | 0.0437243i | ||||
\(742\) | 8.36224 | + | 25.7363i | 0.306987 | + | 0.944810i | ||||
\(743\) | 38.5485 | 1.41421 | 0.707103 | − | 0.707111i | \(-0.250002\pi\) | ||||
0.707103 | + | 0.707111i | \(0.250002\pi\) | |||||||
\(744\) | −4.08450 | − | 3.78376i | −0.149745 | − | 0.138719i | ||||
\(745\) | −3.51099 | −0.128633 | ||||||||
\(746\) | −0.751548 | − | 2.31303i | −0.0275161 | − | 0.0846859i | ||||
\(747\) | 3.49795 | − | 10.7656i | 0.127983 | − | 0.393892i | ||||
\(748\) | −10.2687 | + | 7.46066i | −0.375461 | + | 0.272789i | ||||
\(749\) | 40.4192 | 1.47688 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | 32.4189 | − | 23.5537i | 1.18298 | − | 0.859486i | 0.190476 | − | 0.981692i | \(-0.438997\pi\) |
0.992505 | + | 0.122206i | \(0.0389969\pi\) | |||||||
\(752\) | 0.854401 | + | 0.620759i | 0.0311568 | + | 0.0226367i | ||||
\(753\) | −6.23675 | − | 4.53126i | −0.227280 | − | 0.165128i | ||||
\(754\) | 0.362377 | + | 1.11528i | 0.0131970 | + | 0.0406161i | ||||
\(755\) | 15.1219 | − | 10.9867i | 0.550343 | − | 0.399847i | ||||
\(756\) | 0.818860 | + | 2.52019i | 0.0297817 | + | 0.0916585i | ||||
\(757\) | 12.0696 | − | 37.1465i | 0.438679 | − | 1.35011i | −0.450591 | − | 0.892731i | \(-0.648787\pi\) |
0.889270 | − | 0.457384i | \(-0.151213\pi\) | |||||||
\(758\) | −24.9016 | − | 18.0921i | −0.904468 | − | 0.657134i | ||||
\(759\) | −8.93304 | + | 27.4931i | −0.324249 | + | 0.997935i | ||||
\(760\) | −1.47735 | + | 4.54681i | −0.0535891 | + | 0.164930i | ||||
\(761\) | −31.5110 | − | 22.8941i | −1.14227 | − | 0.829910i | −0.154839 | − | 0.987940i | \(-0.549486\pi\) |
−0.987434 | + | 0.158030i | \(0.949486\pi\) | |||||||
\(762\) | −1.92169 | + | 5.91436i | −0.0696155 | + | 0.214255i | ||||
\(763\) | −1.81802 | − | 5.59529i | −0.0658167 | − | 0.202563i | ||||
\(764\) | −10.4791 | + | 7.61354i | −0.379122 | + | 0.275448i | ||||
\(765\) | 1.03949 | + | 3.19923i | 0.0375830 | + | 0.115668i | ||||
\(766\) | −18.1952 | − | 13.2196i | −0.657418 | − | 0.477642i | ||||
\(767\) | 1.00447 | + | 0.729791i | 0.0362693 | + | 0.0263512i | ||||
\(768\) | 0.809017 | − | 0.587785i | 0.0291929 | − | 0.0212099i | ||||
\(769\) | 33.5236 | 1.20889 | 0.604446 | − | 0.796646i | \(-0.293395\pi\) | ||||
0.604446 | + | 0.796646i | \(0.293395\pi\) | |||||||
\(770\) | −9.99877 | −0.360331 | ||||||||
\(771\) | 14.9973 | − | 10.8962i | 0.540116 | − | 0.392417i | ||||
\(772\) | −1.11407 | + | 3.42876i | −0.0400963 | + | 0.123404i | ||||
\(773\) | −15.5320 | − | 47.8026i | −0.558647 | − | 1.71934i | −0.686112 | − | 0.727496i | \(-0.740684\pi\) |
0.127465 | − | 0.991843i | \(-0.459316\pi\) | |||||||
\(774\) | −7.06272 | −0.253864 | ||||||||
\(775\) | −1.08039 | − | 5.46194i | −0.0388089 | − | 0.196199i | ||||
\(776\) | −7.03111 | −0.252402 | ||||||||
\(777\) | −5.61255 | − | 17.2737i | −0.201349 | − | 0.619689i | ||||
\(778\) | 7.77467 | − | 23.9280i | 0.278735 | − | 0.857859i | ||||
\(779\) | 7.93104 | − | 5.76224i | 0.284159 | − | 0.206454i | ||||
\(780\) | 0.261773 | 0.00937298 | ||||||||
\(781\) | −3.11004 | −0.111286 | ||||||||
\(782\) | −20.8495 | + | 15.1480i | −0.745575 | + | 0.541692i | ||||
\(783\) | 3.62419 | + | 2.63313i | 0.129518 | + | 0.0941003i | ||||
\(784\) | −0.0177214 | − | 0.0128753i | −0.000632907 | − | 0.000459834i | ||||
\(785\) | 5.97761 | + | 18.3972i | 0.213350 | + | 0.656623i | ||||
\(786\) | 9.24191 | − | 6.71464i | 0.329648 | − | 0.239503i | ||||
\(787\) | 14.2543 | + | 43.8702i | 0.508111 | + | 1.56380i | 0.795478 | + | 0.605983i | \(0.207220\pi\) |
−0.287367 | + | 0.957821i | \(0.592780\pi\) | |||||||
\(788\) | −7.78623 | + | 23.9635i | −0.277373 | + | 0.853666i | ||||
\(789\) | 0.873651 | + | 0.634744i | 0.0311028 | + | 0.0225975i | ||||
\(790\) | 1.55448 | − | 4.78420i | 0.0553060 | − | 0.170214i | ||||
\(791\) | 3.31716 | − | 10.2092i | 0.117944 | − | 0.362996i | ||||
\(792\) | 3.05265 | + | 2.21788i | 0.108471 | + | 0.0788089i | ||||
\(793\) | 0.155284 | − | 0.477916i | 0.00551431 | − | 0.0169713i | ||||
\(794\) | 3.17406 | + | 9.76876i | 0.112643 | + | 0.346680i | ||||
\(795\) | 8.26172 | − | 6.00249i | 0.293013 | − | 0.212886i | ||||
\(796\) | −8.29708 | − | 25.5358i | −0.294082 | − | 0.905092i | ||||
\(797\) | −22.7524 | − | 16.5306i | −0.805932 | − | 0.585544i | 0.106716 | − | 0.994290i | \(-0.465966\pi\) |
−0.912648 | + | 0.408745i | \(0.865966\pi\) | |||||||
\(798\) | −10.2491 | − | 7.44641i | −0.362814 | − | 0.263600i | ||||
\(799\) | −2.87410 | + | 2.08815i | −0.101678 | + | 0.0738735i | ||||
\(800\) | 1.00000 | 0.0353553 | ||||||||
\(801\) | 5.99398 | 0.211787 | ||||||||
\(802\) | −11.7855 | + | 8.56267i | −0.416161 | + | 0.302358i | ||||
\(803\) | 9.97254 | − | 30.6923i | 0.351923 | − | 1.08311i | ||||
\(804\) | −1.24386 | − | 3.82822i | −0.0438677 | − | 0.135011i | ||||
\(805\) | −20.3014 | −0.715529 | ||||||||
\(806\) | −0.282818 | − | 1.42979i | −0.00996184 | − | 0.0503621i | ||||
\(807\) | 11.2169 | 0.394852 | ||||||||
\(808\) | 1.90410 | + | 5.86021i | 0.0669859 | + | 0.206161i | ||||
\(809\) | 5.90149 | − | 18.1629i | 0.207485 | − | 0.638574i | −0.792117 | − | 0.610369i | \(-0.791021\pi\) |
0.999602 | − | 0.0282047i | \(-0.00897902\pi\) | |||||||
\(810\) | 0.809017 | − | 0.587785i | 0.0284260 | − | 0.0206527i | ||||
\(811\) | 21.4788 | 0.754221 | 0.377111 | − | 0.926168i | \(-0.376918\pi\) | ||||
0.377111 | + | 0.926168i | \(0.376918\pi\) | |||||||
\(812\) | −11.8708 | −0.416584 | ||||||||
\(813\) | 17.0825 | − | 12.4112i | 0.599110 | − | 0.435279i | ||||
\(814\) | −20.9232 | − | 15.2016i | −0.733357 | − | 0.532815i | ||||
\(815\) | 10.6779 | + | 7.75798i | 0.374032 | + | 0.271750i | ||||
\(816\) | 1.03949 | + | 3.19923i | 0.0363895 | + | 0.111995i | ||||
\(817\) | 27.3169 | − | 19.8469i | 0.955696 | − | 0.694354i | ||||
\(818\) | −11.4705 | − | 35.3026i | −0.401057 | − | 1.23433i | ||||
\(819\) | −0.214355 | + | 0.659718i | −0.00749019 | + | 0.0230524i | ||||
\(820\) | −1.65894 | − | 1.20529i | −0.0579325 | − | 0.0420905i | ||||
\(821\) | 6.04716 | − | 18.6113i | 0.211048 | − | 0.649537i | −0.788363 | − | 0.615210i | \(-0.789071\pi\) |
0.999411 | − | 0.0343273i | \(-0.0109289\pi\) | |||||||
\(822\) | −5.22942 | + | 16.0945i | −0.182397 | + | 0.561360i | ||||
\(823\) | −41.0952 | − | 29.8574i | −1.43249 | − | 1.04076i | −0.989547 | − | 0.144213i | \(-0.953935\pi\) |
−0.442941 | − | 0.896551i | \(-0.646065\pi\) | |||||||
\(824\) | −1.96309 | + | 6.04177i | −0.0683875 | + | 0.210475i | ||||
\(825\) | 1.16601 | + | 3.58860i | 0.0405952 | + | 0.124939i | ||||
\(826\) | −10.1681 | + | 7.38756i | −0.353794 | + | 0.257046i | ||||
\(827\) | 4.29940 | + | 13.2322i | 0.149505 | + | 0.460129i | 0.997563 | − | 0.0697748i | \(-0.0222281\pi\) |
−0.848058 | + | 0.529904i | \(0.822228\pi\) | |||||||
\(828\) | 6.19805 | + | 4.50315i | 0.215397 | + | 0.156495i | ||||
\(829\) | −21.9568 | − | 15.9525i | −0.762590 | − | 0.554054i | 0.137114 | − | 0.990555i | \(-0.456217\pi\) |
−0.899704 | + | 0.436501i | \(0.856217\pi\) | |||||||
\(830\) | 9.15775 | − | 6.65350i | 0.317870 | − | 0.230946i | ||||
\(831\) | −11.4502 | −0.397201 | ||||||||
\(832\) | 0.261773 | 0.00907534 | ||||||||
\(833\) | 0.0596125 | − | 0.0433110i | 0.00206545 | − | 0.00150064i | ||||
\(834\) | −2.74009 | + | 8.43312i | −0.0948814 | + | 0.292015i | ||||
\(835\) | 5.93750 | + | 18.2738i | 0.205476 | + | 0.632389i | ||||
\(836\) | −18.0393 | −0.623903 | ||||||||
\(837\) | −4.08450 | − | 3.78376i | −0.141181 | − | 0.130786i | ||||
\(838\) | −35.9574 | −1.24213 | ||||||||
\(839\) | −17.1629 | − | 52.8221i | −0.592530 | − | 1.82362i | −0.566653 | − | 0.823956i | \(-0.691762\pi\) |
−0.0258770 | − | 0.999665i | \(-0.508238\pi\) | |||||||
\(840\) | −0.818860 | + | 2.52019i | −0.0282534 | + | 0.0869549i | ||||
\(841\) | 7.22604 | − | 5.25003i | 0.249174 | − | 0.181035i | ||||
\(842\) | −28.7612 | −0.991176 | ||||||||
\(843\) | −8.49431 | −0.292559 | ||||||||
\(844\) | 14.0055 | − | 10.1756i | 0.482088 | − | 0.350257i | ||||
\(845\) | −10.4618 | − | 7.60093i | −0.359896 | − | 0.261480i | ||||
\(846\) | 0.854401 | + | 0.620759i | 0.0293749 | + | 0.0213421i | ||||
\(847\) | −2.65119 | − | 8.15953i | −0.0910960 | − | 0.280365i | ||||
\(848\) | 8.26172 | − | 6.00249i | 0.283709 | − | 0.206126i | ||||
\(849\) | 0.698066 | + | 2.14843i | 0.0239575 | + | 0.0737338i | ||||
\(850\) | −1.03949 | + | 3.19923i | −0.0356543 | + | 0.109733i | ||||
\(851\) | −42.4821 | − | 30.8651i | −1.45627 | − | 1.05804i | ||||
\(852\) | −0.254700 | + | 0.783886i | −0.00872588 | + | 0.0268555i | ||||
\(853\) | 0.369131 | − | 1.13607i | 0.0126388 | − | 0.0388983i | −0.944538 | − | 0.328402i | \(-0.893490\pi\) |
0.957177 | + | 0.289503i | \(0.0934901\pi\) | |||||||
\(854\) | 4.11534 | + | 2.98997i | 0.140824 | + | 0.102315i | ||||
\(855\) | −1.47735 | + | 4.54681i | −0.0505243 | + | 0.155498i | ||||
\(856\) | −4.71349 | − | 14.5066i | −0.161104 | − | 0.495826i | ||||
\(857\) | −27.1012 | + | 19.6902i | −0.925760 | + | 0.672604i | −0.944951 | − | 0.327212i | \(-0.893891\pi\) |
0.0191914 | + | 0.999816i | \(0.493891\pi\) | |||||||
\(858\) | 0.305229 | + | 0.939400i | 0.0104204 | + | 0.0320706i | ||||
\(859\) | −6.38510 | − | 4.63905i | −0.217857 | − | 0.158282i | 0.473505 | − | 0.880791i | \(-0.342989\pi\) |
−0.691361 | + | 0.722509i | \(0.742989\pi\) | |||||||
\(860\) | −5.71386 | − | 4.15137i | −0.194841 | − | 0.141560i | ||||
\(861\) | 4.39599 | − | 3.19388i | 0.149815 | − | 0.108847i | ||||
\(862\) | 36.3978 | 1.23971 | ||||||||
\(863\) | 24.6428 | 0.838852 | 0.419426 | − | 0.907790i | \(-0.362231\pi\) | ||||
0.419426 | + | 0.907790i | \(0.362231\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 1.28750 | − | 3.96251i | 0.0437763 | − | 0.134729i | ||||
\(866\) | 6.46765 | + | 19.9054i | 0.219780 | + | 0.676412i | ||||
\(867\) | 5.68438 | 0.193052 | ||||||||
\(868\) | 14.6498 | + | 1.74976i | 0.497247 | + | 0.0593907i | ||||
\(869\) | 18.9811 | 0.643891 | ||||||||
\(870\) | 1.38432 | + | 4.26049i | 0.0469328 | + | 0.144444i | ||||
\(871\) | 0.325610 | − | 1.00212i | 0.0110329 | − | 0.0339557i | ||||
\(872\) | −1.79616 | + | 1.30499i | −0.0608258 | + | 0.0441925i | ||||
\(873\) | −7.03111 | −0.237967 | ||||||||
\(874\) | −36.6268 | −1.23892 | ||||||||
\(875\) | −2.14380 | + | 1.55756i | −0.0724738 | + | 0.0526553i | ||||
\(876\) | −6.91929 | − | 5.02716i | −0.233781 | − | 0.169852i | ||||
\(877\) | 31.4159 | + | 22.8250i | 1.06084 | + | 0.770744i | 0.974243 | − | 0.225499i | \(-0.0724014\pi\) |
0.0865950 | + | 0.996244i | \(0.472401\pi\) | |||||||
\(878\) | 2.96549 | + | 9.12683i | 0.100080 | + | 0.308016i | ||||
\(879\) | 13.1386 | − | 9.54577i | 0.443155 | − | 0.321971i | ||||
\(880\) | 1.16601 | + | 3.58860i | 0.0393061 | + | 0.120972i | ||||
\(881\) | −12.1033 | + | 37.2502i | −0.407771 | + | 1.25499i | 0.510788 | + | 0.859707i | \(0.329354\pi\) |
−0.918559 | + | 0.395283i | \(0.870646\pi\) | |||||||
\(882\) | −0.0177214 | − | 0.0128753i | −0.000596710 | − | 0.000433535i | ||||
\(883\) | 16.4249 | − | 50.5505i | 0.552741 | − | 1.70116i | −0.149095 | − | 0.988823i | \(-0.547636\pi\) |
0.701836 | − | 0.712338i | \(-0.252364\pi\) | |||||||
\(884\) | −0.272111 | + | 0.837472i | −0.00915209 | + | 0.0281672i | ||||
\(885\) | 3.83718 | + | 2.78788i | 0.128986 | + | 0.0937135i | ||||
\(886\) | −6.54893 | + | 20.1555i | −0.220016 | + | 0.677139i | ||||
\(887\) | 13.6182 | + | 41.9125i | 0.457254 | + | 1.40728i | 0.868468 | + | 0.495745i | \(0.165105\pi\) |
−0.411214 | + | 0.911539i | \(0.634895\pi\) | |||||||
\(888\) | −5.54508 | + | 4.02874i | −0.186081 | + | 0.135196i | ||||
\(889\) | −5.09227 | − | 15.6724i | −0.170789 | − | 0.525635i | ||||
\(890\) | 4.84923 | + | 3.52317i | 0.162547 | + | 0.118097i | ||||
\(891\) | 3.05265 | + | 2.21788i | 0.102268 | + | 0.0743018i | ||||
\(892\) | 18.5655 | − | 13.4886i | 0.621619 | − | 0.451632i | ||||
\(893\) | −5.04900 | −0.168958 | ||||||||
\(894\) | −3.51099 | −0.117425 | ||||||||
\(895\) | 9.96407 | − | 7.23932i | 0.333062 | − | 0.241984i | ||||
\(896\) | −0.818860 | + | 2.52019i | −0.0273562 | + | 0.0841937i | ||||
\(897\) | 0.619733 | + | 1.90734i | 0.0206923 | + | 0.0636843i | ||||
\(898\) | 16.2176 | 0.541188 | ||||||||
\(899\) | 21.7749 | − | 12.1641i | 0.726234 | − | 0.405694i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 10.6153 | + | 32.6707i | 0.353649 | + | 1.08842i | ||||
\(902\) | 2.39097 | − | 7.35864i | 0.0796105 | − | 0.245016i | ||||
\(903\) | 15.1411 | − | 11.0007i | 0.503864 | − | 0.366079i | ||||
\(904\) | −4.05094 | −0.134732 | ||||||||
\(905\) | 15.5982 | 0.518502 | ||||||||
\(906\) | 15.1219 | − | 10.9867i | 0.502392 | − | 0.365009i | ||||
\(907\) | −21.6906 | − | 15.7591i | −0.720224 | − | 0.523274i | 0.166232 | − | 0.986087i | \(-0.446840\pi\) |
−0.886456 | + | 0.462813i | \(0.846840\pi\) | |||||||
\(908\) | −1.03680 | − | 0.753283i | −0.0344076 | − | 0.0249986i | ||||
\(909\) | 1.90410 | + | 5.86021i | 0.0631549 | + | 0.194371i | ||||
\(910\) | −0.561190 | + | 0.407728i | −0.0186033 | + | 0.0135161i | ||||
\(911\) | −8.79514 | − | 27.0686i | −0.291396 | − | 0.896824i | −0.984408 | − | 0.175899i | \(-0.943717\pi\) |
0.693012 | − | 0.720926i | \(-0.256283\pi\) | |||||||
\(912\) | −1.47735 | + | 4.54681i | −0.0489199 | + | 0.150560i | ||||
\(913\) | 34.5548 | + | 25.1055i | 1.14360 | + | 0.830872i | ||||
\(914\) | −7.24079 | + | 22.2849i | −0.239504 | + | 0.737117i | ||||
\(915\) | 0.593202 | − | 1.82569i | 0.0196107 | − | 0.0603554i | ||||
\(916\) | 10.4567 | + | 7.59724i | 0.345499 | + | 0.251020i | ||||
\(917\) | −9.35436 | + | 28.7898i | −0.308908 | + | 0.950722i | ||||
\(918\) | 1.03949 | + | 3.19923i | 0.0343084 | + | 0.105590i | ||||
\(919\) | 25.7256 | − | 18.6907i | 0.848609 | − | 0.616550i | −0.0761533 | − | 0.997096i | \(-0.524264\pi\) |
0.924762 | + | 0.380546i | \(0.124264\pi\) | |||||||
\(920\) | 2.36745 | + | 7.28625i | 0.0780524 | + | 0.240221i | ||||
\(921\) | −9.39492 | − | 6.82581i | −0.309573 | − | 0.224918i | ||||
\(922\) | −12.7913 | − | 9.29341i | −0.421259 | − | 0.306062i | ||||
\(923\) | −0.174554 | + | 0.126821i | −0.00574551 | + | 0.00417436i | ||||
\(924\) | −9.99877 | −0.328936 | ||||||||
\(925\) | −6.85410 | −0.225361 | ||||||||
\(926\) | −1.96359 | + | 1.42663i | −0.0645275 | + | 0.0468820i | ||||
\(927\) | −1.96309 | + | 6.04177i | −0.0644764 | + | 0.198438i | ||||
\(928\) | 1.38432 | + | 4.26049i | 0.0454424 | + | 0.139857i | ||||
\(929\) | −39.0023 | −1.27962 | −0.639811 | − | 0.768532i | \(-0.720988\pi\) | ||||
−0.639811 | + | 0.768532i | \(0.720988\pi\) | |||||||
\(930\) | −1.08039 | − | 5.46194i | −0.0354275 | − | 0.179104i | ||||
\(931\) | 0.104723 | 0.00343215 | ||||||||
\(932\) | 1.48993 | + | 4.58552i | 0.0488041 | + | 0.150204i | ||||
\(933\) | −6.46064 | + | 19.8838i | −0.211512 | + | 0.650967i | ||||
\(934\) | −13.3048 | + | 9.66648i | −0.435345 | + | 0.316297i | ||||
\(935\) | −12.6928 | −0.415100 | ||||||||
\(936\) | 0.261773 | 0.00855632 | ||||||||
\(937\) | 9.43171 | − | 6.85254i | 0.308121 | − | 0.223863i | −0.422969 | − | 0.906144i | \(-0.639012\pi\) |
0.731090 | + | 0.682281i | \(0.239012\pi\) | |||||||
\(938\) | 8.62930 | + | 6.26955i | 0.281757 | + | 0.204708i | ||||
\(939\) | 4.65512 | + | 3.38214i | 0.151914 | + | 0.110372i | ||||
\(940\) | 0.326352 | + | 1.00441i | 0.0106444 | + | 0.0327602i | ||||
\(941\) | 11.1193 | − | 8.07867i | 0.362480 | − | 0.263357i | −0.391606 | − | 0.920133i | \(-0.628080\pi\) |
0.754086 | + | 0.656776i | \(0.228080\pi\) | |||||||
\(942\) | 5.97761 | + | 18.3972i | 0.194761 | + | 0.599412i | ||||
\(943\) | 4.85458 | − | 14.9409i | 0.158087 | − | 0.486542i | ||||
\(944\) | 3.83718 | + | 2.78788i | 0.124890 | + | 0.0907377i | ||||
\(945\) | −0.818860 | + | 2.52019i | −0.0266375 | + | 0.0819819i | ||||
\(946\) | 8.23520 | − | 25.3453i | 0.267749 | − | 0.824048i | ||||
\(947\) | 10.0672 | + | 7.31428i | 0.327142 | + | 0.237682i | 0.739217 | − | 0.673468i | \(-0.235196\pi\) |
−0.412075 | + | 0.911150i | \(0.635196\pi\) | |||||||
\(948\) | 1.55448 | − | 4.78420i | 0.0504872 | − | 0.155384i | ||||
\(949\) | −0.691849 | − | 2.12929i | −0.0224584 | − | 0.0691197i | ||||
\(950\) | −3.86775 | + | 2.81008i | −0.125486 | + | 0.0911712i | ||||
\(951\) | −7.79391 | − | 23.9872i | −0.252735 | − | 0.777838i | ||||
\(952\) | −7.21148 | − | 5.23945i | −0.233725 | − | 0.169811i | ||||
\(953\) | 45.6481 | + | 33.1653i | 1.47869 | + | 1.07433i | 0.977976 | + | 0.208716i | \(0.0669284\pi\) |
0.500712 | + | 0.865614i | \(0.333072\pi\) | |||||||
\(954\) | 8.26172 | − | 6.00249i | 0.267483 | − | 0.194338i | ||||
\(955\) | −12.9529 | −0.419147 | ||||||||
\(956\) | 16.5822 | 0.536308 | ||||||||
\(957\) | −13.6751 | + | 9.93554i | −0.442053 | + | 0.321170i | ||||
\(958\) | 10.2044 | − | 31.4059i | 0.329689 | − | 1.01468i | ||||
\(959\) | −13.8574 | − | 42.6486i | −0.447478 | − | 1.37719i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −28.6655 | + | 11.8021i | −0.924693 | + | 0.380713i | ||||
\(962\) | −1.79422 | −0.0578479 | ||||||||
\(963\) | −4.71349 | − | 14.5066i | −0.151890 | − | 0.467469i | ||||
\(964\) | −6.68179 | + | 20.5644i | −0.215206 | + | 0.662336i | ||||
\(965\) | −2.91667 | + | 2.11909i | −0.0938911 | + | 0.0682159i | ||||
\(966\) | −20.3014 | −0.653186 | ||||||||
\(967\) | −54.4575 | −1.75124 | −0.875618 | − | 0.483004i | \(-0.839546\pi\) | ||||
−0.875618 | + | 0.483004i | \(0.839546\pi\) | |||||||
\(968\) | −2.61932 | + | 1.90305i | −0.0841882 | + | 0.0611663i | ||||
\(969\) | −13.0106 | − | 9.45276i | −0.417961 | − | 0.303666i | ||||
\(970\) | −5.68828 | − | 4.13278i | −0.182640 | − | 0.132696i | ||||
\(971\) | 3.13366 | + | 9.64442i | 0.100564 | + | 0.309504i | 0.988664 | − | 0.150147i | \(-0.0479746\pi\) |
−0.888100 | + | 0.459651i | \(0.847975\pi\) | |||||||
\(972\) | 0.809017 | − | 0.587785i | 0.0259492 | − | 0.0188532i | ||||
\(973\) | −7.26092 | − | 22.3468i | −0.232774 | − | 0.716406i | ||||
\(974\) | 11.7681 | − | 36.2186i | 0.377076 | − | 1.16052i | ||||
\(975\) | 0.211779 | + | 0.153866i | 0.00678235 | + | 0.00492766i | ||||
\(976\) | 0.593202 | − | 1.82569i | 0.0189879 | − | 0.0584389i | ||||
\(977\) | −7.99559 | + | 24.6079i | −0.255802 | + | 0.787276i | 0.737869 | + | 0.674944i | \(0.235832\pi\) |
−0.993671 | + | 0.112332i | \(0.964168\pi\) | |||||||
\(978\) | 10.6779 | + | 7.75798i | 0.341443 | + | 0.248073i | ||||
\(979\) | −6.98903 | + | 21.5100i | −0.223370 | + | 0.687464i | ||||
\(980\) | −0.00676897 | − | 0.0208327i | −0.000216227 | − | 0.000665478i | ||||
\(981\) | −1.79616 | + | 1.30499i | −0.0573471 | + | 0.0416651i | ||||
\(982\) | 4.33469 | + | 13.3408i | 0.138326 | + | 0.425722i | ||||
\(983\) | −44.9272 | − | 32.6415i | −1.43296 | − | 1.04110i | −0.989457 | − | 0.144829i | \(-0.953737\pi\) |
−0.443500 | − | 0.896275i | \(-0.646263\pi\) | |||||||
\(984\) | −1.65894 | − | 1.20529i | −0.0528849 | − | 0.0384232i | ||||
\(985\) | −20.3846 | + | 14.8103i | −0.649508 | + | 0.471895i | ||||
\(986\) | −15.0693 | −0.479904 | ||||||||
\(987\) | −2.79854 | −0.0890786 | ||||||||
\(988\) | −1.01247 | + | 0.735604i | −0.0322110 | + | 0.0234027i | ||||
\(989\) | 16.7206 | − | 51.4608i | 0.531685 | − | 1.63636i | ||||
\(990\) | 1.16601 | + | 3.58860i | 0.0370582 | + | 0.114053i | ||||
\(991\) | −20.9801 | −0.666455 | −0.333227 | − | 0.942846i | \(-0.608138\pi\) | ||||
−0.333227 | + | 0.942846i | \(0.608138\pi\) | |||||||
\(992\) | −1.08039 | − | 5.46194i | −0.0343026 | − | 0.173417i | ||||
\(993\) | 17.3990 | 0.552140 | ||||||||
\(994\) | −0.674927 | − | 2.07721i | −0.0214074 | − | 0.0658851i | ||||
\(995\) | 8.29708 | − | 25.5358i | 0.263035 | − | 0.809539i | ||||
\(996\) | 9.15775 | − | 6.65350i | 0.290175 | − | 0.210824i | ||||
\(997\) | 30.7098 | 0.972590 | 0.486295 | − | 0.873795i | \(-0.338348\pi\) | ||||
0.486295 | + | 0.873795i | \(0.338348\pi\) | |||||||
\(998\) | 11.6281 | 0.368081 | ||||||||
\(999\) | −5.54508 | + | 4.02874i | −0.175439 | + | 0.127464i |
(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.n.d.841.3 | yes | 12 | |
31.8 | even | 5 | inner | 930.2.n.d.721.3 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.d.721.3 | ✓ | 12 | 31.8 | even | 5 | inner | |
930.2.n.d.841.3 | yes | 12 | 1.1 | even | 1 | trivial |