Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(37,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([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("201.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.3665654523963.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 8x^{8} + 21x^{6} - 5x^{5} + 26x^{4} + 4x^{3} + 13x^{2} - 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.4 | ||
Root | \(0.133354 - 0.230976i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 201.37 |
Dual form | 201.2.e.c.163.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.538290 | + | 0.932346i | 0.380629 | + | 0.659268i | 0.991152 | − | 0.132730i | \(-0.0423743\pi\) |
−0.610524 | + | 0.791998i | \(0.709041\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 0.420487 | − | 0.728305i | 0.210243 | − | 0.364152i | ||||
\(5\) | −0.343289 | −0.153523 | −0.0767617 | − | 0.997049i | \(-0.524458\pi\) | ||||
−0.0767617 | + | 0.997049i | \(0.524458\pi\) | |||||||
\(6\) | 0.538290 | + | 0.932346i | 0.219756 | + | 0.380629i | ||||
\(7\) | −1.74135 | + | 3.01611i | −0.658170 | + | 1.13998i | 0.322919 | + | 0.946427i | \(0.395336\pi\) |
−0.981089 | + | 0.193557i | \(0.937998\pi\) | |||||||
\(8\) | 3.05854 | 1.08136 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.184789 | − | 0.320064i | −0.0584354 | − | 0.101213i | ||||
\(11\) | 1.62587 | − | 2.81608i | 0.490217 | − | 0.849081i | −0.509720 | − | 0.860341i | \(-0.670251\pi\) |
0.999937 | + | 0.0112600i | \(0.00358424\pi\) | |||||||
\(12\) | 0.420487 | − | 0.728305i | 0.121384 | − | 0.210243i | ||||
\(13\) | 2.55656 | + | 4.42810i | 0.709064 | + | 1.22813i | 0.965205 | + | 0.261495i | \(0.0842154\pi\) |
−0.256141 | + | 0.966639i | \(0.582451\pi\) | |||||||
\(14\) | −3.74942 | −1.00207 | ||||||||
\(15\) | −0.343289 | −0.0886368 | ||||||||
\(16\) | 0.805407 | + | 1.39501i | 0.201352 | + | 0.348752i | ||||
\(17\) | −2.89298 | − | 5.01079i | −0.701651 | − | 1.21530i | −0.967886 | − | 0.251388i | \(-0.919113\pi\) |
0.266235 | − | 0.963908i | \(-0.414220\pi\) | |||||||
\(18\) | 0.538290 | + | 0.932346i | 0.126876 | + | 0.219756i | ||||
\(19\) | −1.78179 | − | 3.08616i | −0.408772 | − | 0.708013i | 0.585981 | − | 0.810325i | \(-0.300709\pi\) |
−0.994752 | + | 0.102312i | \(0.967376\pi\) | |||||||
\(20\) | −0.144349 | + | 0.250019i | −0.0322773 | + | 0.0559059i | ||||
\(21\) | −1.74135 | + | 3.01611i | −0.379995 | + | 0.658170i | ||||
\(22\) | 3.50075 | 0.746363 | ||||||||
\(23\) | −2.90613 | − | 5.03356i | −0.605969 | − | 1.04957i | −0.991897 | − | 0.127041i | \(-0.959452\pi\) |
0.385928 | − | 0.922529i | \(-0.373881\pi\) | |||||||
\(24\) | 3.05854 | 0.624321 | ||||||||
\(25\) | −4.88215 | −0.976431 | ||||||||
\(26\) | −2.75235 | + | 4.76721i | −0.539780 | + | 0.934926i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 1.46443 | + | 2.53647i | 0.276752 | + | 0.479348i | ||||
\(29\) | −5.09820 | + | 8.83033i | −0.946711 | + | 1.63975i | −0.194423 | + | 0.980918i | \(0.562284\pi\) |
−0.752288 | + | 0.658834i | \(0.771050\pi\) | |||||||
\(30\) | −0.184789 | − | 0.320064i | −0.0337377 | − | 0.0584354i | ||||
\(31\) | −4.29870 | + | 7.44557i | −0.772069 | + | 1.33726i | 0.164357 | + | 0.986401i | \(0.447445\pi\) |
−0.936427 | + | 0.350863i | \(0.885888\pi\) | |||||||
\(32\) | 2.19145 | − | 3.79571i | 0.387398 | − | 0.670992i | ||||
\(33\) | 1.62587 | − | 2.81608i | 0.283027 | − | 0.490217i | ||||
\(34\) | 3.11453 | − | 5.39452i | 0.534137 | − | 0.925153i | ||||
\(35\) | 0.597787 | − | 1.03540i | 0.101045 | − | 0.175014i | ||||
\(36\) | 0.420487 | − | 0.728305i | 0.0700812 | − | 0.121384i | ||||
\(37\) | −5.46501 | − | 9.46567i | −0.898442 | − | 1.55615i | −0.829487 | − | 0.558527i | \(-0.811367\pi\) |
−0.0689551 | − | 0.997620i | \(-0.521967\pi\) | |||||||
\(38\) | 1.91825 | − | 3.32250i | 0.311181 | − | 0.538980i | ||||
\(39\) | 2.55656 | + | 4.42810i | 0.409378 | + | 0.709064i | ||||
\(40\) | −1.04996 | −0.166014 | ||||||||
\(41\) | −1.08998 | + | 1.88790i | −0.170226 | + | 0.294841i | −0.938499 | − | 0.345282i | \(-0.887783\pi\) |
0.768273 | + | 0.640123i | \(0.221117\pi\) | |||||||
\(42\) | −3.74942 | −0.578547 | ||||||||
\(43\) | 6.88453 | 1.04988 | 0.524941 | − | 0.851139i | \(-0.324087\pi\) | ||||
0.524941 | + | 0.851139i | \(0.324087\pi\) | |||||||
\(44\) | −1.36731 | − | 2.36825i | −0.206130 | − | 0.357027i | ||||
\(45\) | −0.343289 | −0.0511745 | ||||||||
\(46\) | 3.12868 | − | 5.41903i | 0.461299 | − | 0.798993i | ||||
\(47\) | 3.30598 | − | 5.72613i | 0.482227 | − | 0.835241i | −0.517565 | − | 0.855644i | \(-0.673161\pi\) |
0.999792 | + | 0.0204025i | \(0.00649476\pi\) | |||||||
\(48\) | 0.805407 | + | 1.39501i | 0.116251 | + | 0.201352i | ||||
\(49\) | −2.56463 | − | 4.44206i | −0.366375 | − | 0.634581i | ||||
\(50\) | −2.62802 | − | 4.55186i | −0.371658 | − | 0.643730i | ||||
\(51\) | −2.89298 | − | 5.01079i | −0.405099 | − | 0.701651i | ||||
\(52\) | 4.30001 | 0.596304 | ||||||||
\(53\) | 4.19796 | 0.576634 | 0.288317 | − | 0.957535i | \(-0.406904\pi\) | ||||
0.288317 | + | 0.957535i | \(0.406904\pi\) | |||||||
\(54\) | 0.538290 | + | 0.932346i | 0.0732520 | + | 0.126876i | ||||
\(55\) | −0.558142 | + | 0.966730i | −0.0752598 | + | 0.130354i | ||||
\(56\) | −5.32600 | + | 9.22490i | −0.711716 | + | 1.23273i | ||||
\(57\) | −1.78179 | − | 3.08616i | −0.236004 | − | 0.408772i | ||||
\(58\) | −10.9772 | −1.44138 | ||||||||
\(59\) | −4.93524 | −0.642514 | −0.321257 | − | 0.946992i | \(-0.604105\pi\) | ||||
−0.321257 | + | 0.946992i | \(0.604105\pi\) | |||||||
\(60\) | −0.144349 | + | 0.250019i | −0.0186353 | + | 0.0322773i | ||||
\(61\) | 5.54693 | + | 9.60756i | 0.710211 | + | 1.23012i | 0.964778 | + | 0.263066i | \(0.0847338\pi\) |
−0.254567 | + | 0.967055i | \(0.581933\pi\) | |||||||
\(62\) | −9.25580 | −1.17549 | ||||||||
\(63\) | −1.74135 | + | 3.01611i | −0.219390 | + | 0.379995i | ||||
\(64\) | 7.94018 | 0.992522 | ||||||||
\(65\) | −0.877640 | − | 1.52012i | −0.108858 | − | 0.188547i | ||||
\(66\) | 3.50075 | 0.430913 | ||||||||
\(67\) | 8.16969 | − | 0.506056i | 0.998087 | − | 0.0618246i | ||||
\(68\) | −4.86585 | −0.590071 | ||||||||
\(69\) | −2.90613 | − | 5.03356i | −0.349857 | − | 0.605969i | ||||
\(70\) | 1.28713 | 0.153842 | ||||||||
\(71\) | 2.76671 | − | 4.79208i | 0.328348 | − | 0.568715i | −0.653836 | − | 0.756636i | \(-0.726842\pi\) |
0.982184 | + | 0.187921i | \(0.0601748\pi\) | |||||||
\(72\) | 3.05854 | 0.360452 | ||||||||
\(73\) | 1.87686 | + | 3.25081i | 0.219670 | + | 0.380479i | 0.954707 | − | 0.297548i | \(-0.0961687\pi\) |
−0.735037 | + | 0.678027i | \(0.762835\pi\) | |||||||
\(74\) | 5.88352 | − | 10.1906i | 0.683945 | − | 1.18463i | ||||
\(75\) | −4.88215 | −0.563742 | ||||||||
\(76\) | −2.99689 | −0.343766 | ||||||||
\(77\) | 5.66241 | + | 9.80759i | 0.645292 | + | 1.11768i | ||||
\(78\) | −2.75235 | + | 4.76721i | −0.311642 | + | 0.539780i | ||||
\(79\) | −0.758004 | + | 1.31290i | −0.0852822 | + | 0.147713i | −0.905511 | − | 0.424322i | \(-0.860512\pi\) |
0.820229 | + | 0.572035i | \(0.193846\pi\) | |||||||
\(80\) | −0.276487 | − | 0.478890i | −0.0309122 | − | 0.0535416i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.34691 | −0.259172 | ||||||||
\(83\) | 1.05201 | + | 1.82213i | 0.115473 | + | 0.200005i | 0.917969 | − | 0.396653i | \(-0.129828\pi\) |
−0.802496 | + | 0.596658i | \(0.796495\pi\) | |||||||
\(84\) | 1.46443 | + | 2.53647i | 0.159783 | + | 0.276752i | ||||
\(85\) | 0.993129 | + | 1.72015i | 0.107720 | + | 0.186576i | ||||
\(86\) | 3.70588 | + | 6.41877i | 0.399615 | + | 0.692154i | ||||
\(87\) | −5.09820 | + | 8.83033i | −0.546584 | + | 0.946711i | ||||
\(88\) | 4.97277 | − | 8.61309i | 0.530099 | − | 0.918159i | ||||
\(89\) | 10.4923 | 1.11218 | 0.556092 | − | 0.831120i | \(-0.312300\pi\) | ||||
0.556092 | + | 0.831120i | \(0.312300\pi\) | |||||||
\(90\) | −0.184789 | − | 0.320064i | −0.0194785 | − | 0.0337377i | ||||
\(91\) | −17.8075 | −1.86674 | ||||||||
\(92\) | −4.88795 | −0.509605 | ||||||||
\(93\) | −4.29870 | + | 7.44557i | −0.445755 | + | 0.772069i | ||||
\(94\) | 7.11831 | 0.734198 | ||||||||
\(95\) | 0.611670 | + | 1.05944i | 0.0627560 | + | 0.108697i | ||||
\(96\) | 2.19145 | − | 3.79571i | 0.223664 | − | 0.387398i | ||||
\(97\) | 1.66477 | + | 2.88347i | 0.169032 | + | 0.292772i | 0.938080 | − | 0.346419i | \(-0.112603\pi\) |
−0.769048 | + | 0.639191i | \(0.779269\pi\) | |||||||
\(98\) | 2.76103 | − | 4.78224i | 0.278906 | − | 0.483079i | ||||
\(99\) | 1.62587 | − | 2.81608i | 0.163406 | − | 0.283027i | ||||
\(100\) | −2.05288 | + | 3.55570i | −0.205288 | + | 0.355570i | ||||
\(101\) | −1.36420 | + | 2.36286i | −0.135743 | + | 0.235113i | −0.925881 | − | 0.377816i | \(-0.876675\pi\) |
0.790138 | + | 0.612929i | \(0.210009\pi\) | |||||||
\(102\) | 3.11453 | − | 5.39452i | 0.308384 | − | 0.534137i | ||||
\(103\) | 1.07960 | − | 1.86993i | 0.106377 | − | 0.184250i | −0.807923 | − | 0.589288i | \(-0.799408\pi\) |
0.914300 | + | 0.405038i | \(0.132742\pi\) | |||||||
\(104\) | 7.81935 | + | 13.5435i | 0.766750 | + | 1.32805i | ||||
\(105\) | 0.597787 | − | 1.03540i | 0.0583381 | − | 0.101045i | ||||
\(106\) | 2.25972 | + | 3.91395i | 0.219483 | + | 0.380156i | ||||
\(107\) | 10.6008 | 1.02482 | 0.512408 | − | 0.858742i | \(-0.328754\pi\) | ||||
0.512408 | + | 0.858742i | \(0.328754\pi\) | |||||||
\(108\) | 0.420487 | − | 0.728305i | 0.0404614 | − | 0.0700812i | ||||
\(109\) | −5.22306 | −0.500278 | −0.250139 | − | 0.968210i | \(-0.580476\pi\) | ||||
−0.250139 | + | 0.968210i | \(0.580476\pi\) | |||||||
\(110\) | −1.20177 | −0.114584 | ||||||||
\(111\) | −5.46501 | − | 9.46567i | −0.518715 | − | 0.898442i | ||||
\(112\) | −5.61000 | −0.530095 | ||||||||
\(113\) | −3.34306 | + | 5.79034i | −0.314488 | + | 0.544710i | −0.979329 | − | 0.202276i | \(-0.935166\pi\) |
0.664840 | + | 0.746985i | \(0.268500\pi\) | |||||||
\(114\) | 1.91825 | − | 3.32250i | 0.179660 | − | 0.311181i | ||||
\(115\) | 0.997641 | + | 1.72797i | 0.0930305 | + | 0.161134i | ||||
\(116\) | 4.28745 | + | 7.42608i | 0.398080 | + | 0.689494i | ||||
\(117\) | 2.55656 | + | 4.42810i | 0.236355 | + | 0.409378i | ||||
\(118\) | −2.65659 | − | 4.60136i | −0.244559 | − | 0.423589i | ||||
\(119\) | 20.1508 | 1.84722 | ||||||||
\(120\) | −1.04996 | −0.0958480 | ||||||||
\(121\) | 0.213123 | + | 0.369140i | 0.0193748 | + | 0.0335582i | ||||
\(122\) | −5.97171 | + | 10.3433i | −0.540654 | + | 0.936439i | ||||
\(123\) | −1.08998 | + | 1.88790i | −0.0982803 | + | 0.170226i | ||||
\(124\) | 3.61510 | + | 6.26153i | 0.324645 | + | 0.562302i | ||||
\(125\) | 3.39243 | 0.303428 | ||||||||
\(126\) | −3.74942 | −0.334025 | ||||||||
\(127\) | 0.249942 | − | 0.432913i | 0.0221788 | − | 0.0384148i | −0.854723 | − | 0.519084i | \(-0.826273\pi\) |
0.876902 | + | 0.480670i | \(0.159606\pi\) | |||||||
\(128\) | −0.108782 | − | 0.188416i | −0.00961505 | − | 0.0166538i | ||||
\(129\) | 6.88453 | 0.606149 | ||||||||
\(130\) | 0.944851 | − | 1.63653i | 0.0828689 | − | 0.143533i | ||||
\(131\) | −5.57665 | −0.487234 | −0.243617 | − | 0.969872i | \(-0.578334\pi\) | ||||
−0.243617 | + | 0.969872i | \(0.578334\pi\) | |||||||
\(132\) | −1.36731 | − | 2.36825i | −0.119009 | − | 0.206130i | ||||
\(133\) | 12.4109 | 1.07616 | ||||||||
\(134\) | 4.86949 | + | 7.34458i | 0.420660 | + | 0.634475i | ||||
\(135\) | −0.343289 | −0.0295456 | ||||||||
\(136\) | −8.84830 | − | 15.3257i | −0.758735 | − | 1.31417i | ||||
\(137\) | −19.0923 | −1.63116 | −0.815582 | − | 0.578641i | \(-0.803583\pi\) | ||||
−0.815582 | + | 0.578641i | \(0.803583\pi\) | |||||||
\(138\) | 3.12868 | − | 5.41903i | 0.266331 | − | 0.461299i | ||||
\(139\) | −10.2632 | −0.870515 | −0.435258 | − | 0.900306i | \(-0.643343\pi\) | ||||
−0.435258 | + | 0.900306i | \(0.643343\pi\) | |||||||
\(140\) | −0.502724 | − | 0.870743i | −0.0424879 | − | 0.0735912i | ||||
\(141\) | 3.30598 | − | 5.72613i | 0.278414 | − | 0.482227i | ||||
\(142\) | 5.95717 | 0.499915 | ||||||||
\(143\) | 16.6265 | 1.39038 | ||||||||
\(144\) | 0.805407 | + | 1.39501i | 0.0671173 | + | 0.116251i | ||||
\(145\) | 1.75015 | − | 3.03136i | 0.145342 | − | 0.251740i | ||||
\(146\) | −2.02059 | + | 3.49976i | −0.167225 | + | 0.289642i | ||||
\(147\) | −2.56463 | − | 4.44206i | −0.211527 | − | 0.366375i | ||||
\(148\) | −9.19186 | −0.755566 | ||||||||
\(149\) | −4.91471 | −0.402628 | −0.201314 | − | 0.979527i | \(-0.564521\pi\) | ||||
−0.201314 | + | 0.979527i | \(0.564521\pi\) | |||||||
\(150\) | −2.62802 | − | 4.55186i | −0.214577 | − | 0.371658i | ||||
\(151\) | −9.74003 | − | 16.8702i | −0.792633 | − | 1.37288i | −0.924332 | − | 0.381590i | \(-0.875377\pi\) |
0.131699 | − | 0.991290i | \(-0.457957\pi\) | |||||||
\(152\) | −5.44969 | − | 9.43913i | −0.442028 | − | 0.765615i | ||||
\(153\) | −2.89298 | − | 5.01079i | −0.233884 | − | 0.405099i | ||||
\(154\) | −6.09605 | + | 10.5587i | −0.491233 | + | 0.850841i | ||||
\(155\) | 1.47570 | − | 2.55598i | 0.118531 | − | 0.205301i | ||||
\(156\) | 4.30001 | 0.344276 | ||||||||
\(157\) | 2.31674 | + | 4.01272i | 0.184896 | + | 0.320250i | 0.943542 | − | 0.331254i | \(-0.107472\pi\) |
−0.758645 | + | 0.651504i | \(0.774138\pi\) | |||||||
\(158\) | −1.63211 | −0.129843 | ||||||||
\(159\) | 4.19796 | 0.332920 | ||||||||
\(160\) | −0.752301 | + | 1.30302i | −0.0594746 | + | 0.103013i | ||||
\(161\) | 20.2424 | 1.59532 | ||||||||
\(162\) | 0.538290 | + | 0.932346i | 0.0422921 | + | 0.0732520i | ||||
\(163\) | 1.93006 | − | 3.34296i | 0.151174 | − | 0.261841i | −0.780485 | − | 0.625174i | \(-0.785028\pi\) |
0.931659 | + | 0.363333i | \(0.118361\pi\) | |||||||
\(164\) | 0.916646 | + | 1.58768i | 0.0715780 | + | 0.123977i | ||||
\(165\) | −0.558142 | + | 0.966730i | −0.0434513 | + | 0.0752598i | ||||
\(166\) | −1.13257 | + | 1.96167i | −0.0879046 | + | 0.152255i | ||||
\(167\) | 10.4684 | − | 18.1318i | 0.810069 | − | 1.40308i | −0.102747 | − | 0.994708i | \(-0.532763\pi\) |
0.912815 | − | 0.408373i | \(-0.133904\pi\) | |||||||
\(168\) | −5.32600 | + | 9.22490i | −0.410910 | + | 0.711716i | ||||
\(169\) | −6.57205 | + | 11.3831i | −0.505542 | + | 0.875625i | ||||
\(170\) | −1.06918 | + | 1.85188i | −0.0820026 | + | 0.142033i | ||||
\(171\) | −1.78179 | − | 3.08616i | −0.136257 | − | 0.236004i | ||||
\(172\) | 2.89486 | − | 5.01404i | 0.220731 | − | 0.382317i | ||||
\(173\) | 7.64393 | + | 13.2397i | 0.581157 | + | 1.00659i | 0.995343 | + | 0.0964014i | \(0.0307332\pi\) |
−0.414185 | + | 0.910193i | \(0.635933\pi\) | |||||||
\(174\) | −10.9772 | −0.832182 | ||||||||
\(175\) | 8.50156 | − | 14.7251i | 0.642657 | − | 1.11311i | ||||
\(176\) | 5.23794 | 0.394824 | ||||||||
\(177\) | −4.93524 | −0.370956 | ||||||||
\(178\) | 5.64792 | + | 9.78249i | 0.423330 | + | 0.733228i | ||||
\(179\) | −6.89292 | −0.515201 | −0.257600 | − | 0.966252i | \(-0.582932\pi\) | ||||
−0.257600 | + | 0.966252i | \(0.582932\pi\) | |||||||
\(180\) | −0.144349 | + | 0.250019i | −0.0107591 | + | 0.0186353i | ||||
\(181\) | −5.93393 | + | 10.2779i | −0.441066 | + | 0.763949i | −0.997769 | − | 0.0667631i | \(-0.978733\pi\) |
0.556703 | + | 0.830712i | \(0.312066\pi\) | |||||||
\(182\) | −9.58563 | − | 16.6028i | −0.710534 | − | 1.23068i | ||||
\(183\) | 5.54693 | + | 9.60756i | 0.410041 | + | 0.710211i | ||||
\(184\) | −8.88850 | − | 15.3953i | −0.655269 | − | 1.13496i | ||||
\(185\) | 1.87608 | + | 3.24946i | 0.137932 | + | 0.238905i | ||||
\(186\) | −9.25580 | −0.678668 | ||||||||
\(187\) | −18.8144 | −1.37585 | ||||||||
\(188\) | −2.78024 | − | 4.81552i | −0.202770 | − | 0.351208i | ||||
\(189\) | −1.74135 | + | 3.01611i | −0.126665 | + | 0.219390i | ||||
\(190\) | −0.658512 | + | 1.14058i | −0.0477735 | + | 0.0827461i | ||||
\(191\) | 4.51623 | + | 7.82235i | 0.326783 | + | 0.566005i | 0.981872 | − | 0.189547i | \(-0.0607020\pi\) |
−0.655088 | + | 0.755552i | \(0.727369\pi\) | |||||||
\(192\) | 7.94018 | 0.573033 | ||||||||
\(193\) | 12.2171 | 0.879403 | 0.439702 | − | 0.898144i | \(-0.355084\pi\) | ||||
0.439702 | + | 0.898144i | \(0.355084\pi\) | |||||||
\(194\) | −1.79226 | + | 3.10429i | −0.128677 | + | 0.222875i | ||||
\(195\) | −0.877640 | − | 1.52012i | −0.0628491 | − | 0.108858i | ||||
\(196\) | −4.31357 | −0.308112 | ||||||||
\(197\) | −3.82664 | + | 6.62793i | −0.272637 | + | 0.472221i | −0.969536 | − | 0.244948i | \(-0.921229\pi\) |
0.696899 | + | 0.717169i | \(0.254562\pi\) | |||||||
\(198\) | 3.50075 | 0.248788 | ||||||||
\(199\) | 9.71520 | + | 16.8272i | 0.688693 | + | 1.19285i | 0.972261 | + | 0.233899i | \(0.0751484\pi\) |
−0.283568 | + | 0.958952i | \(0.591518\pi\) | |||||||
\(200\) | −14.9322 | −1.05587 | ||||||||
\(201\) | 8.16969 | − | 0.506056i | 0.576246 | − | 0.0356944i | ||||
\(202\) | −2.93733 | −0.206670 | ||||||||
\(203\) | −17.7555 | − | 30.7535i | −1.24619 | − | 2.15847i | ||||
\(204\) | −4.86585 | −0.340677 | ||||||||
\(205\) | 0.374178 | − | 0.648096i | 0.0261338 | − | 0.0452650i | ||||
\(206\) | 2.32456 | 0.161960 | ||||||||
\(207\) | −2.90613 | − | 5.03356i | −0.201990 | − | 0.349857i | ||||
\(208\) | −4.11815 | + | 7.13285i | −0.285542 | + | 0.494574i | ||||
\(209\) | −11.5878 | −0.801547 | ||||||||
\(210\) | 1.28713 | 0.0888206 | ||||||||
\(211\) | −10.0124 | − | 17.3420i | −0.689281 | − | 1.19387i | −0.972071 | − | 0.234688i | \(-0.924593\pi\) |
0.282790 | − | 0.959182i | \(-0.408740\pi\) | |||||||
\(212\) | 1.76519 | − | 3.05739i | 0.121233 | − | 0.209983i | ||||
\(213\) | 2.76671 | − | 4.79208i | 0.189572 | − | 0.328348i | ||||
\(214\) | 5.70629 | + | 9.88359i | 0.390074 | + | 0.675628i | ||||
\(215\) | −2.36338 | −0.161181 | ||||||||
\(216\) | 3.05854 | 0.208107 | ||||||||
\(217\) | −14.9711 | − | 25.9307i | −1.01631 | − | 1.76029i | ||||
\(218\) | −2.81152 | − | 4.86970i | −0.190420 | − | 0.329818i | ||||
\(219\) | 1.87686 | + | 3.25081i | 0.126826 | + | 0.219670i | ||||
\(220\) | 0.469383 | + | 0.812994i | 0.0316458 | + | 0.0548121i | ||||
\(221\) | 14.7922 | − | 25.6208i | 0.995031 | − | 1.72344i | ||||
\(222\) | 5.88352 | − | 10.1906i | 0.394876 | − | 0.683945i | ||||
\(223\) | 14.6218 | 0.979151 | 0.489576 | − | 0.871961i | \(-0.337152\pi\) | ||||
0.489576 | + | 0.871961i | \(0.337152\pi\) | |||||||
\(224\) | 7.63219 | + | 13.2193i | 0.509947 | + | 0.883254i | ||||
\(225\) | −4.88215 | −0.325477 | ||||||||
\(226\) | −7.19814 | −0.478813 | ||||||||
\(227\) | 0.515824 | − | 0.893434i | 0.0342365 | − | 0.0592993i | −0.848399 | − | 0.529357i | \(-0.822433\pi\) |
0.882636 | + | 0.470057i | \(0.155767\pi\) | |||||||
\(228\) | −2.99689 | −0.198474 | ||||||||
\(229\) | −2.64969 | − | 4.58939i | −0.175096 | − | 0.303276i | 0.765098 | − | 0.643913i | \(-0.222690\pi\) |
−0.940195 | + | 0.340638i | \(0.889357\pi\) | |||||||
\(230\) | −1.07404 | + | 1.86029i | −0.0708202 | + | 0.122664i | ||||
\(231\) | 5.66241 | + | 9.80759i | 0.372560 | + | 0.645292i | ||||
\(232\) | −15.5930 | + | 27.0079i | −1.02373 | + | 1.77316i | ||||
\(233\) | −5.93846 | + | 10.2857i | −0.389042 | + | 0.673840i | −0.992321 | − | 0.123690i | \(-0.960527\pi\) |
0.603279 | + | 0.797530i | \(0.293860\pi\) | |||||||
\(234\) | −2.75235 | + | 4.76721i | −0.179927 | + | 0.311642i | ||||
\(235\) | −1.13491 | + | 1.96572i | −0.0740331 | + | 0.128229i | ||||
\(236\) | −2.07521 | + | 3.59436i | −0.135084 | + | 0.233973i | ||||
\(237\) | −0.758004 | + | 1.31290i | −0.0492377 | + | 0.0852822i | ||||
\(238\) | 10.8470 | + | 18.7875i | 0.703106 | + | 1.21782i | ||||
\(239\) | 0.489214 | − | 0.847344i | 0.0316446 | − | 0.0548101i | −0.849769 | − | 0.527155i | \(-0.823259\pi\) |
0.881414 | + | 0.472345i | \(0.156592\pi\) | |||||||
\(240\) | −0.276487 | − | 0.478890i | −0.0178472 | − | 0.0309122i | ||||
\(241\) | −9.10790 | −0.586691 | −0.293346 | − | 0.956006i | \(-0.594769\pi\) | ||||
−0.293346 | + | 0.956006i | \(0.594769\pi\) | |||||||
\(242\) | −0.229444 | + | 0.397409i | −0.0147492 | + | 0.0255464i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 9.32964 | 0.597269 | ||||||||
\(245\) | 0.880408 | + | 1.52491i | 0.0562472 | + | 0.0974230i | ||||
\(246\) | −2.34691 | −0.149633 | ||||||||
\(247\) | 9.11055 | − | 15.7799i | 0.579690 | − | 1.00405i | ||||
\(248\) | −13.1477 | + | 22.7726i | −0.834882 | + | 1.44606i | ||||
\(249\) | 1.05201 | + | 1.82213i | 0.0666683 | + | 0.115473i | ||||
\(250\) | 1.82611 | + | 3.16292i | 0.115494 | + | 0.200041i | ||||
\(251\) | −6.65387 | − | 11.5248i | −0.419989 | − | 0.727442i | 0.575949 | − | 0.817485i | \(-0.304633\pi\) |
−0.995938 | + | 0.0900439i | \(0.971299\pi\) | |||||||
\(252\) | 1.46443 | + | 2.53647i | 0.0922506 | + | 0.159783i | ||||
\(253\) | −18.8999 | −1.18823 | ||||||||
\(254\) | 0.538166 | 0.0337675 | ||||||||
\(255\) | 0.993129 | + | 1.72015i | 0.0621921 | + | 0.107720i | ||||
\(256\) | 8.05729 | − | 13.9556i | 0.503581 | − | 0.872227i | ||||
\(257\) | −9.93977 | + | 17.2162i | −0.620026 | + | 1.07392i | 0.369455 | + | 0.929249i | \(0.379545\pi\) |
−0.989480 | + | 0.144667i | \(0.953789\pi\) | |||||||
\(258\) | 3.70588 | + | 6.41877i | 0.230718 | + | 0.399615i | ||||
\(259\) | 38.0660 | 2.36531 | ||||||||
\(260\) | −1.47615 | −0.0915467 | ||||||||
\(261\) | −5.09820 | + | 8.83033i | −0.315570 | + | 0.546584i | ||||
\(262\) | −3.00186 | − | 5.19937i | −0.185455 | − | 0.321218i | ||||
\(263\) | 2.77387 | 0.171044 | 0.0855221 | − | 0.996336i | \(-0.472744\pi\) | ||||
0.0855221 | + | 0.996336i | \(0.472744\pi\) | |||||||
\(264\) | 4.97277 | − | 8.61309i | 0.306053 | − | 0.530099i | ||||
\(265\) | −1.44111 | −0.0885268 | ||||||||
\(266\) | 6.68069 | + | 11.5713i | 0.409619 | + | 0.709481i | ||||
\(267\) | 10.4923 | 0.642120 | ||||||||
\(268\) | 3.06669 | − | 6.16282i | 0.187328 | − | 0.376454i | ||||
\(269\) | −6.16204 | −0.375706 | −0.187853 | − | 0.982197i | \(-0.560153\pi\) | ||||
−0.187853 | + | 0.982197i | \(0.560153\pi\) | |||||||
\(270\) | −0.184789 | − | 0.320064i | −0.0112459 | − | 0.0194785i | ||||
\(271\) | 18.5823 | 1.12880 | 0.564398 | − | 0.825503i | \(-0.309109\pi\) | ||||
0.564398 | + | 0.825503i | \(0.309109\pi\) | |||||||
\(272\) | 4.66006 | − | 8.07146i | 0.282558 | − | 0.489404i | ||||
\(273\) | −17.8075 | −1.07776 | ||||||||
\(274\) | −10.2772 | − | 17.8006i | −0.620868 | − | 1.07537i | ||||
\(275\) | −7.93772 | + | 13.7485i | −0.478663 | + | 0.829068i | ||||
\(276\) | −4.88795 | −0.294220 | ||||||||
\(277\) | 24.5550 | 1.47537 | 0.737685 | − | 0.675146i | \(-0.235919\pi\) | ||||
0.737685 | + | 0.675146i | \(0.235919\pi\) | |||||||
\(278\) | −5.52460 | − | 9.56888i | −0.331343 | − | 0.573903i | ||||
\(279\) | −4.29870 | + | 7.44557i | −0.257356 | + | 0.445755i | ||||
\(280\) | 1.82836 | − | 3.16680i | 0.109265 | − | 0.189253i | ||||
\(281\) | 11.5331 | + | 19.9759i | 0.688005 | + | 1.19166i | 0.972482 | + | 0.232977i | \(0.0748467\pi\) |
−0.284477 | + | 0.958683i | \(0.591820\pi\) | |||||||
\(282\) | 7.11831 | 0.423889 | ||||||||
\(283\) | 25.5746 | 1.52025 | 0.760127 | − | 0.649775i | \(-0.225137\pi\) | ||||
0.760127 | + | 0.649775i | \(0.225137\pi\) | |||||||
\(284\) | −2.32673 | − | 4.03001i | −0.138066 | − | 0.239137i | ||||
\(285\) | 0.611670 | + | 1.05944i | 0.0362322 | + | 0.0627560i | ||||
\(286\) | 8.94990 | + | 15.5017i | 0.529218 | + | 0.916633i | ||||
\(287\) | −3.79609 | − | 6.57501i | −0.224076 | − | 0.388111i | ||||
\(288\) | 2.19145 | − | 3.79571i | 0.129133 | − | 0.223664i | ||||
\(289\) | −8.23870 | + | 14.2698i | −0.484629 | + | 0.839402i | ||||
\(290\) | 3.76836 | 0.221286 | ||||||||
\(291\) | 1.66477 | + | 2.88347i | 0.0975907 | + | 0.169032i | ||||
\(292\) | 3.15678 | 0.184736 | ||||||||
\(293\) | 9.44665 | 0.551879 | 0.275940 | − | 0.961175i | \(-0.411011\pi\) | ||||
0.275940 | + | 0.961175i | \(0.411011\pi\) | |||||||
\(294\) | 2.76103 | − | 4.78224i | 0.161026 | − | 0.278906i | ||||
\(295\) | 1.69421 | 0.0986410 | ||||||||
\(296\) | −16.7149 | − | 28.9511i | −0.971536 | − | 1.68275i | ||||
\(297\) | 1.62587 | − | 2.81608i | 0.0943423 | − | 0.163406i | ||||
\(298\) | −2.64554 | − | 4.58221i | −0.153252 | − | 0.265440i | ||||
\(299\) | 14.8594 | − | 25.7372i | 0.859342 | − | 1.48842i | ||||
\(300\) | −2.05288 | + | 3.55570i | −0.118523 | + | 0.205288i | ||||
\(301\) | −11.9884 | + | 20.7645i | −0.691001 | + | 1.19685i | ||||
\(302\) | 10.4859 | − | 18.1622i | 0.603398 | − | 1.04512i | ||||
\(303\) | −1.36420 | + | 2.36286i | −0.0783710 | + | 0.135743i | ||||
\(304\) | 2.87014 | − | 4.97123i | 0.164614 | − | 0.285120i | ||||
\(305\) | −1.90420 | − | 3.29817i | −0.109034 | − | 0.188853i | ||||
\(306\) | 3.11453 | − | 5.39452i | 0.178046 | − | 0.308384i | ||||
\(307\) | 0.489214 | + | 0.847344i | 0.0279209 | + | 0.0483605i | 0.879648 | − | 0.475625i | \(-0.157778\pi\) |
−0.851727 | + | 0.523985i | \(0.824445\pi\) | |||||||
\(308\) | 9.52389 | 0.542674 | ||||||||
\(309\) | 1.07960 | − | 1.86993i | 0.0614165 | − | 0.106377i | ||||
\(310\) | 3.17741 | 0.180465 | ||||||||
\(311\) | −18.7178 | −1.06139 | −0.530696 | − | 0.847562i | \(-0.678069\pi\) | ||||
−0.530696 | + | 0.847562i | \(0.678069\pi\) | |||||||
\(312\) | 7.81935 | + | 13.5435i | 0.442684 | + | 0.766750i | ||||
\(313\) | 9.18556 | 0.519198 | 0.259599 | − | 0.965716i | \(-0.416410\pi\) | ||||
0.259599 | + | 0.965716i | \(0.416410\pi\) | |||||||
\(314\) | −2.49416 | + | 4.32001i | −0.140754 | + | 0.243793i | ||||
\(315\) | 0.597787 | − | 1.03540i | 0.0336815 | − | 0.0583381i | ||||
\(316\) | 0.637462 | + | 1.10412i | 0.0358600 | + | 0.0621114i | ||||
\(317\) | −12.2411 | − | 21.2022i | −0.687528 | − | 1.19083i | −0.972635 | − | 0.232338i | \(-0.925362\pi\) |
0.285107 | − | 0.958496i | \(-0.407971\pi\) | |||||||
\(318\) | 2.25972 | + | 3.91395i | 0.126719 | + | 0.219483i | ||||
\(319\) | 16.5780 | + | 28.7139i | 0.928188 | + | 1.60767i | ||||
\(320\) | −2.72578 | −0.152375 | ||||||||
\(321\) | 10.6008 | 0.591677 | ||||||||
\(322\) | 10.8963 | + | 18.8729i | 0.607226 | + | 1.05175i | ||||
\(323\) | −10.3094 | + | 17.8564i | −0.573630 | + | 0.993557i | ||||
\(324\) | 0.420487 | − | 0.728305i | 0.0233604 | − | 0.0404614i | ||||
\(325\) | −12.4815 | − | 21.6187i | −0.692351 | − | 1.19919i | ||||
\(326\) | 4.15573 | 0.230164 | ||||||||
\(327\) | −5.22306 | −0.288836 | ||||||||
\(328\) | −3.33375 | + | 5.77422i | −0.184075 | + | 0.318828i | ||||
\(329\) | 11.5138 | + | 19.9424i | 0.634774 | + | 1.09946i | ||||
\(330\) | −1.20177 | −0.0661552 | ||||||||
\(331\) | −5.48861 | + | 9.50655i | −0.301681 | + | 0.522527i | −0.976517 | − | 0.215441i | \(-0.930881\pi\) |
0.674836 | + | 0.737968i | \(0.264214\pi\) | |||||||
\(332\) | 1.76942 | 0.0971097 | ||||||||
\(333\) | −5.46501 | − | 9.46567i | −0.299481 | − | 0.518715i | ||||
\(334\) | 22.5401 | 1.23334 | ||||||||
\(335\) | −2.80457 | + | 0.173723i | −0.153230 | + | 0.00949152i | ||||
\(336\) | −5.61000 | −0.306050 | ||||||||
\(337\) | −1.84882 | − | 3.20224i | −0.100711 | − | 0.174437i | 0.811267 | − | 0.584677i | \(-0.198779\pi\) |
−0.911978 | + | 0.410239i | \(0.865445\pi\) | |||||||
\(338\) | −14.1507 | −0.769695 | ||||||||
\(339\) | −3.34306 | + | 5.79034i | −0.181570 | + | 0.314488i | ||||
\(340\) | 1.67039 | 0.0905897 | ||||||||
\(341\) | 13.9782 | + | 24.2110i | 0.756963 | + | 1.31110i | ||||
\(342\) | 1.91825 | − | 3.32250i | 0.103727 | − | 0.179660i | ||||
\(343\) | −6.51526 | −0.351791 | ||||||||
\(344\) | 21.0566 | 1.13530 | ||||||||
\(345\) | 0.997641 | + | 1.72797i | 0.0537112 | + | 0.0930305i | ||||
\(346\) | −8.22931 | + | 14.2536i | −0.442410 | + | 0.766277i | ||||
\(347\) | 7.99087 | − | 13.8406i | 0.428972 | − | 0.743002i | −0.567810 | − | 0.823160i | \(-0.692209\pi\) |
0.996782 | + | 0.0801580i | \(0.0255425\pi\) | |||||||
\(348\) | 4.28745 | + | 7.42608i | 0.229831 | + | 0.398080i | ||||
\(349\) | 34.6373 | 1.85409 | 0.927045 | − | 0.374949i | \(-0.122340\pi\) | ||||
0.927045 | + | 0.374949i | \(0.122340\pi\) | |||||||
\(350\) | 18.3052 | 0.978455 | ||||||||
\(351\) | 2.55656 | + | 4.42810i | 0.136459 | + | 0.236355i | ||||
\(352\) | −7.12601 | − | 12.3426i | −0.379818 | − | 0.657864i | ||||
\(353\) | 7.76875 | + | 13.4559i | 0.413489 | + | 0.716184i | 0.995269 | − | 0.0971626i | \(-0.0309767\pi\) |
−0.581780 | + | 0.813347i | \(0.697643\pi\) | |||||||
\(354\) | −2.65659 | − | 4.60136i | −0.141196 | − | 0.244559i | ||||
\(355\) | −0.949780 | + | 1.64507i | −0.0504091 | + | 0.0873111i | ||||
\(356\) | 4.41189 | − | 7.64162i | 0.233830 | − | 0.405005i | ||||
\(357\) | 20.1508 | 1.06649 | ||||||||
\(358\) | −3.71039 | − | 6.42659i | −0.196100 | − | 0.339656i | ||||
\(359\) | −34.6365 | −1.82805 | −0.914023 | − | 0.405663i | \(-0.867041\pi\) | ||||
−0.914023 | + | 0.405663i | \(0.867041\pi\) | |||||||
\(360\) | −1.04996 | −0.0553379 | ||||||||
\(361\) | 3.15042 | − | 5.45668i | 0.165811 | − | 0.287194i | ||||
\(362\) | −12.7767 | −0.671529 | ||||||||
\(363\) | 0.213123 | + | 0.369140i | 0.0111861 | + | 0.0193748i | ||||
\(364\) | −7.48784 | + | 12.9693i | −0.392469 | + | 0.679777i | ||||
\(365\) | −0.644305 | − | 1.11597i | −0.0337244 | − | 0.0584125i | ||||
\(366\) | −5.97171 | + | 10.3433i | −0.312146 | + | 0.540654i | ||||
\(367\) | −9.09658 | + | 15.7557i | −0.474837 | + | 0.822442i | −0.999585 | − | 0.0288155i | \(-0.990826\pi\) |
0.524747 | + | 0.851258i | \(0.324160\pi\) | |||||||
\(368\) | 4.68123 | − | 8.10813i | 0.244026 | − | 0.422666i | ||||
\(369\) | −1.08998 | + | 1.88790i | −0.0567422 | + | 0.0982803i | ||||
\(370\) | −2.01975 | + | 3.49831i | −0.105002 | + | 0.181868i | ||||
\(371\) | −7.31013 | + | 12.6615i | −0.379523 | + | 0.657353i | ||||
\(372\) | 3.61510 | + | 6.26153i | 0.187434 | + | 0.324645i | ||||
\(373\) | 10.7838 | − | 18.6782i | 0.558366 | − | 0.967118i | −0.439267 | − | 0.898357i | \(-0.644762\pi\) |
0.997633 | − | 0.0687618i | \(-0.0219048\pi\) | |||||||
\(374\) | −10.1276 | − | 17.5415i | −0.523686 | − | 0.907051i | ||||
\(375\) | 3.39243 | 0.175185 | ||||||||
\(376\) | 10.1115 | − | 17.5136i | 0.521459 | − | 0.903194i | ||||
\(377\) | −52.1355 | −2.68511 | ||||||||
\(378\) | −3.74942 | −0.192849 | ||||||||
\(379\) | −13.4539 | − | 23.3029i | −0.691081 | − | 1.19699i | −0.971484 | − | 0.237105i | \(-0.923801\pi\) |
0.280403 | − | 0.959882i | \(-0.409532\pi\) | |||||||
\(380\) | 1.02880 | 0.0527762 | ||||||||
\(381\) | 0.249942 | − | 0.432913i | 0.0128049 | − | 0.0221788i | ||||
\(382\) | −4.86209 | + | 8.42139i | −0.248766 | + | 0.430876i | ||||
\(383\) | −3.95724 | − | 6.85415i | −0.202206 | − | 0.350231i | 0.747033 | − | 0.664787i | \(-0.231478\pi\) |
−0.949239 | + | 0.314556i | \(0.898144\pi\) | |||||||
\(384\) | −0.108782 | − | 0.188416i | −0.00555125 | − | 0.00961505i | ||||
\(385\) | −1.94384 | − | 3.36684i | −0.0990675 | − | 0.171590i | ||||
\(386\) | 6.57632 | + | 11.3905i | 0.334726 | + | 0.579763i | ||||
\(387\) | 6.88453 | 0.349961 | ||||||||
\(388\) | 2.80006 | 0.142152 | ||||||||
\(389\) | −13.3544 | − | 23.1306i | −0.677097 | − | 1.17277i | −0.975851 | − | 0.218436i | \(-0.929904\pi\) |
0.298754 | − | 0.954330i | \(-0.403429\pi\) | |||||||
\(390\) | 0.944851 | − | 1.63653i | 0.0478444 | − | 0.0828689i | ||||
\(391\) | −16.8147 | + | 29.1240i | −0.850358 | + | 1.47286i | ||||
\(392\) | −7.84401 | − | 13.5862i | −0.396182 | − | 0.686208i | ||||
\(393\) | −5.57665 | −0.281305 | ||||||||
\(394\) | −8.23937 | −0.415093 | ||||||||
\(395\) | 0.260214 | − | 0.450705i | 0.0130928 | − | 0.0226774i | ||||
\(396\) | −1.36731 | − | 2.36825i | −0.0687099 | − | 0.119009i | ||||
\(397\) | −38.8971 | −1.95219 | −0.976094 | − | 0.217349i | \(-0.930259\pi\) | ||||
−0.976094 | + | 0.217349i | \(0.930259\pi\) | |||||||
\(398\) | −10.4592 | + | 18.1159i | −0.524272 | + | 0.908066i | ||||
\(399\) | 12.4109 | 0.621324 | ||||||||
\(400\) | −3.93212 | − | 6.81063i | −0.196606 | − | 0.340532i | ||||
\(401\) | 32.0237 | 1.59919 | 0.799593 | − | 0.600543i | \(-0.205049\pi\) | ||||
0.799593 | + | 0.600543i | \(0.205049\pi\) | |||||||
\(402\) | 4.86949 | + | 7.34458i | 0.242868 | + | 0.366314i | ||||
\(403\) | −43.9596 | −2.18979 | ||||||||
\(404\) | 1.14725 | + | 1.98710i | 0.0570780 | + | 0.0988620i | ||||
\(405\) | −0.343289 | −0.0170582 | ||||||||
\(406\) | 19.1153 | − | 33.1086i | 0.948674 | − | 1.64315i | ||||
\(407\) | −35.5415 | −1.76172 | ||||||||
\(408\) | −8.84830 | − | 15.3257i | −0.438056 | − | 0.758735i | ||||
\(409\) | −1.71772 | + | 2.97518i | −0.0849359 | + | 0.147113i | −0.905364 | − | 0.424637i | \(-0.860402\pi\) |
0.820428 | + | 0.571750i | \(0.193735\pi\) | |||||||
\(410\) | 0.805667 | 0.0397890 | ||||||||
\(411\) | −19.0923 | −0.941753 | ||||||||
\(412\) | −0.907919 | − | 1.57256i | −0.0447300 | − | 0.0774746i | ||||
\(413\) | 8.59400 | − | 14.8853i | 0.422883 | − | 0.732455i | ||||
\(414\) | 3.12868 | − | 5.41903i | 0.153766 | − | 0.266331i | ||||
\(415\) | −0.361143 | − | 0.625518i | −0.0177278 | − | 0.0307055i | ||||
\(416\) | 22.4104 | 1.09876 | ||||||||
\(417\) | −10.2632 | −0.502592 | ||||||||
\(418\) | −6.23762 | − | 10.8039i | −0.305092 | − | 0.528435i | ||||
\(419\) | 8.38259 | + | 14.5191i | 0.409516 | + | 0.709303i | 0.994836 | − | 0.101500i | \(-0.0323641\pi\) |
−0.585319 | + | 0.810803i | \(0.699031\pi\) | |||||||
\(420\) | −0.502724 | − | 0.870743i | −0.0245304 | − | 0.0424879i | ||||
\(421\) | −2.69702 | − | 4.67138i | −0.131445 | − | 0.227669i | 0.792789 | − | 0.609496i | \(-0.208628\pi\) |
−0.924234 | + | 0.381827i | \(0.875295\pi\) | |||||||
\(422\) | 10.7791 | − | 18.6700i | 0.524720 | − | 0.908842i | ||||
\(423\) | 3.30598 | − | 5.72613i | 0.160742 | − | 0.278414i | ||||
\(424\) | 12.8396 | 0.623547 | ||||||||
\(425\) | 14.1240 | + | 24.4635i | 0.685114 | + | 1.18665i | ||||
\(426\) | 5.95717 | 0.288626 | ||||||||
\(427\) | −38.6366 | −1.86976 | ||||||||
\(428\) | 4.45749 | − | 7.72059i | 0.215461 | − | 0.373189i | ||||
\(429\) | 16.6265 | 0.802736 | ||||||||
\(430\) | −1.27219 | − | 2.20349i | −0.0613503 | − | 0.106262i | ||||
\(431\) | −0.483947 | + | 0.838221i | −0.0233109 | + | 0.0403757i | −0.877446 | − | 0.479676i | \(-0.840754\pi\) |
0.854135 | + | 0.520052i | \(0.174087\pi\) | |||||||
\(432\) | 0.805407 | + | 1.39501i | 0.0387502 | + | 0.0671173i | ||||
\(433\) | 7.37386 | − | 12.7719i | 0.354365 | − | 0.613778i | −0.632644 | − | 0.774443i | \(-0.718030\pi\) |
0.987009 | + | 0.160665i | \(0.0513637\pi\) | |||||||
\(434\) | 16.1176 | − | 27.9165i | 0.773670 | − | 1.34004i | ||||
\(435\) | 1.75015 | − | 3.03136i | 0.0839135 | − | 0.145342i | ||||
\(436\) | −2.19623 | + | 3.80398i | −0.105180 | + | 0.182178i | ||||
\(437\) | −10.3562 | + | 17.9375i | −0.495406 | + | 0.858069i | ||||
\(438\) | −2.02059 | + | 3.49976i | −0.0965475 | + | 0.167225i | ||||
\(439\) | −5.95169 | − | 10.3086i | −0.284058 | − | 0.492004i | 0.688322 | − | 0.725405i | \(-0.258348\pi\) |
−0.972380 | + | 0.233402i | \(0.925014\pi\) | |||||||
\(440\) | −1.70710 | + | 2.95678i | −0.0813827 | + | 0.140959i | ||||
\(441\) | −2.56463 | − | 4.44206i | −0.122125 | − | 0.211527i | ||||
\(442\) | 31.8500 | 1.51495 | ||||||||
\(443\) | −1.14477 | + | 1.98280i | −0.0543897 | + | 0.0942057i | −0.891938 | − | 0.452157i | \(-0.850655\pi\) |
0.837549 | + | 0.546363i | \(0.183988\pi\) | |||||||
\(444\) | −9.19186 | −0.436226 | ||||||||
\(445\) | −3.60190 | −0.170746 | ||||||||
\(446\) | 7.87080 | + | 13.6326i | 0.372693 | + | 0.645523i | ||||
\(447\) | −4.91471 | −0.232458 | ||||||||
\(448\) | −13.8267 | + | 23.9485i | −0.653248 | + | 1.13146i | ||||
\(449\) | −2.47544 | + | 4.28759i | −0.116823 | + | 0.202344i | −0.918507 | − | 0.395404i | \(-0.870604\pi\) |
0.801684 | + | 0.597748i | \(0.203938\pi\) | |||||||
\(450\) | −2.62802 | − | 4.55186i | −0.123886 | − | 0.214577i | ||||
\(451\) | 3.54433 | + | 6.13895i | 0.166896 | + | 0.289072i | ||||
\(452\) | 2.81142 | + | 4.86953i | 0.132238 | + | 0.229043i | ||||
\(453\) | −9.74003 | − | 16.8702i | −0.457627 | − | 0.792633i | ||||
\(454\) | 1.11065 | 0.0521255 | ||||||||
\(455\) | 6.11313 | 0.286588 | ||||||||
\(456\) | −5.44969 | − | 9.43913i | −0.255205 | − | 0.442028i | ||||
\(457\) | −4.16515 | + | 7.21425i | −0.194837 | + | 0.337468i | −0.946847 | − | 0.321684i | \(-0.895751\pi\) |
0.752010 | + | 0.659152i | \(0.229085\pi\) | |||||||
\(458\) | 2.85260 | − | 4.94085i | 0.133293 | − | 0.230871i | ||||
\(459\) | −2.89298 | − | 5.01079i | −0.135033 | − | 0.233884i | ||||
\(460\) | 1.67798 | 0.0782362 | ||||||||
\(461\) | −31.1720 | −1.45182 | −0.725911 | − | 0.687788i | \(-0.758582\pi\) | ||||
−0.725911 | + | 0.687788i | \(0.758582\pi\) | |||||||
\(462\) | −6.09605 | + | 10.5587i | −0.283614 | + | 0.491233i | ||||
\(463\) | 6.45307 | + | 11.1770i | 0.299899 | + | 0.519441i | 0.976113 | − | 0.217265i | \(-0.0697136\pi\) |
−0.676213 | + | 0.736706i | \(0.736380\pi\) | |||||||
\(464\) | −16.4245 | −0.762488 | ||||||||
\(465\) | 1.47570 | − | 2.55598i | 0.0684338 | − | 0.118531i | ||||
\(466\) | −12.7865 | −0.592322 | ||||||||
\(467\) | −10.1508 | − | 17.5816i | −0.469721 | − | 0.813581i | 0.529680 | − | 0.848198i | \(-0.322312\pi\) |
−0.999401 | + | 0.0346170i | \(0.988979\pi\) | |||||||
\(468\) | 4.30001 | 0.198768 | ||||||||
\(469\) | −12.7000 | + | 25.5219i | −0.586432 | + | 1.17849i | ||||
\(470\) | −2.44364 | −0.112717 | ||||||||
\(471\) | 2.31674 | + | 4.01272i | 0.106750 | + | 0.184896i | ||||
\(472\) | −15.0946 | −0.694787 | ||||||||
\(473\) | 11.1933 | − | 19.3874i | 0.514670 | − | 0.891434i | ||||
\(474\) | −1.63211 | −0.0749651 | ||||||||
\(475\) | 8.69899 | + | 15.0671i | 0.399137 | + | 0.691326i | ||||
\(476\) | 8.47316 | − | 14.6759i | 0.388367 | − | 0.672671i | ||||
\(477\) | 4.19796 | 0.192211 | ||||||||
\(478\) | 1.05336 | 0.0481794 | ||||||||
\(479\) | −5.34746 | − | 9.26207i | −0.244332 | − | 0.423195i | 0.717612 | − | 0.696443i | \(-0.245235\pi\) |
−0.961943 | + | 0.273248i | \(0.911902\pi\) | |||||||
\(480\) | −0.752301 | + | 1.30302i | −0.0343377 | + | 0.0594746i | ||||
\(481\) | 27.9433 | − | 48.3992i | 1.27410 | − | 2.20681i | ||||
\(482\) | −4.90269 | − | 8.49172i | −0.223312 | − | 0.386787i | ||||
\(483\) | 20.2424 | 0.921060 | ||||||||
\(484\) | 0.358462 | 0.0162937 | ||||||||
\(485\) | −0.571498 | − | 0.989864i | −0.0259504 | − | 0.0449474i | ||||
\(486\) | 0.538290 | + | 0.932346i | 0.0244173 | + | 0.0422921i | ||||
\(487\) | 7.93279 | + | 13.7400i | 0.359469 | + | 0.622618i | 0.987872 | − | 0.155269i | \(-0.0496245\pi\) |
−0.628403 | + | 0.777888i | \(0.716291\pi\) | |||||||
\(488\) | 16.9655 | + | 29.3851i | 0.767991 | + | 1.33020i | ||||
\(489\) | 1.93006 | − | 3.34296i | 0.0872802 | − | 0.151174i | ||||
\(490\) | −0.947830 | + | 1.64169i | −0.0428186 | + | 0.0741640i | ||||
\(491\) | 8.06653 | 0.364037 | 0.182019 | − | 0.983295i | \(-0.441737\pi\) | ||||
0.182019 | + | 0.983295i | \(0.441737\pi\) | |||||||
\(492\) | 0.916646 | + | 1.58768i | 0.0413256 | + | 0.0715780i | ||||
\(493\) | 58.9960 | 2.65704 | ||||||||
\(494\) | 19.6165 | 0.882587 | ||||||||
\(495\) | −0.558142 | + | 0.966730i | −0.0250866 | + | 0.0434513i | ||||
\(496\) | −13.8488 | −0.621830 | ||||||||
\(497\) | 9.63564 | + | 16.6894i | 0.432217 | + | 0.748622i | ||||
\(498\) | −1.13257 | + | 1.96167i | −0.0507518 | + | 0.0879046i | ||||
\(499\) | 4.96639 | + | 8.60205i | 0.222326 | + | 0.385081i | 0.955514 | − | 0.294946i | \(-0.0953016\pi\) |
−0.733188 | + | 0.680026i | \(0.761968\pi\) | |||||||
\(500\) | 1.42647 | − | 2.47073i | 0.0637939 | − | 0.110494i | ||||
\(501\) | 10.4684 | − | 18.1318i | 0.467693 | − | 0.810069i | ||||
\(502\) | 7.16343 | − | 12.4074i | 0.319719 | − | 0.553770i | ||||
\(503\) | 3.05075 | − | 5.28406i | 0.136026 | − | 0.235605i | −0.789963 | − | 0.613155i | \(-0.789900\pi\) |
0.925989 | + | 0.377550i | \(0.123233\pi\) | |||||||
\(504\) | −5.32600 | + | 9.22490i | −0.237239 | + | 0.410910i | ||||
\(505\) | 0.468313 | − | 0.811142i | 0.0208397 | − | 0.0360954i | ||||
\(506\) | −10.1736 | − | 17.6212i | −0.452273 | − | 0.783360i | ||||
\(507\) | −6.57205 | + | 11.3831i | −0.291875 | + | 0.505542i | ||||
\(508\) | −0.210195 | − | 0.364068i | −0.00932589 | − | 0.0161529i | ||||
\(509\) | −25.2678 | −1.11998 | −0.559989 | − | 0.828500i | \(-0.689195\pi\) | ||||
−0.559989 | + | 0.828500i | \(0.689195\pi\) | |||||||
\(510\) | −1.06918 | + | 1.85188i | −0.0473442 | + | 0.0820026i | ||||
\(511\) | −13.0731 | −0.578320 | ||||||||
\(512\) | 16.9135 | 0.747479 | ||||||||
\(513\) | −1.78179 | − | 3.08616i | −0.0786681 | − | 0.136257i | ||||
\(514\) | −21.4019 | −0.943998 | ||||||||
\(515\) | −0.370616 | + | 0.641926i | −0.0163313 | + | 0.0282866i | ||||
\(516\) | 2.89486 | − | 5.01404i | 0.127439 | − | 0.220731i | ||||
\(517\) | −10.7502 | − | 18.6198i | −0.472792 | − | 0.818899i | ||||
\(518\) | 20.4906 | + | 35.4907i | 0.900305 | + | 1.55937i | ||||
\(519\) | 7.64393 | + | 13.2397i | 0.335531 | + | 0.581157i | ||||
\(520\) | −2.68430 | − | 4.64934i | −0.117714 | − | 0.203887i | ||||
\(521\) | −4.07383 | −0.178478 | −0.0892389 | − | 0.996010i | \(-0.528443\pi\) | ||||
−0.0892389 | + | 0.996010i | \(0.528443\pi\) | |||||||
\(522\) | −10.9772 | −0.480461 | ||||||||
\(523\) | −10.3091 | − | 17.8560i | −0.450788 | − | 0.780787i | 0.547648 | − | 0.836709i | \(-0.315523\pi\) |
−0.998435 | + | 0.0559221i | \(0.982190\pi\) | |||||||
\(524\) | −2.34491 | + | 4.06150i | −0.102438 | + | 0.177427i | ||||
\(525\) | 8.50156 | − | 14.7251i | 0.371038 | − | 0.642657i | ||||
\(526\) | 1.49315 | + | 2.58621i | 0.0651043 | + | 0.112764i | ||||
\(527\) | 49.7443 | 2.16689 | ||||||||
\(528\) | 5.23794 | 0.227952 | ||||||||
\(529\) | −5.39115 | + | 9.33775i | −0.234398 | + | 0.405989i | ||||
\(530\) | −0.775737 | − | 1.34362i | −0.0336958 | − | 0.0583629i | ||||
\(531\) | −4.93524 | −0.214171 | ||||||||
\(532\) | 5.21864 | − | 9.03895i | 0.226257 | − | 0.391888i | ||||
\(533\) | −11.1464 | −0.482805 | ||||||||
\(534\) | 5.64792 | + | 9.78249i | 0.244409 | + | 0.423330i | ||||
\(535\) | −3.63913 | −0.157333 | ||||||||
\(536\) | 24.9873 | − | 1.54779i | 1.07929 | − | 0.0668544i | ||||
\(537\) | −6.89292 | −0.297451 | ||||||||
\(538\) | −3.31697 | − | 5.74516i | −0.143005 | − | 0.247691i | ||||
\(539\) | −16.6790 | −0.718413 | ||||||||
\(540\) | −0.144349 | + | 0.250019i | −0.00621177 | + | 0.0107591i | ||||
\(541\) | −6.82424 | −0.293397 | −0.146698 | − | 0.989181i | \(-0.546865\pi\) | ||||
−0.146698 | + | 0.989181i | \(0.546865\pi\) | |||||||
\(542\) | 10.0027 | + | 17.3251i | 0.429652 | + | 0.744179i | ||||
\(543\) | −5.93393 | + | 10.2779i | −0.254650 | + | 0.441066i | ||||
\(544\) | −25.3593 | −1.08727 | ||||||||
\(545\) | 1.79302 | 0.0768045 | ||||||||
\(546\) | −9.58563 | − | 16.6028i | −0.410227 | − | 0.710534i | ||||
\(547\) | −6.56745 | + | 11.3752i | −0.280804 | + | 0.486367i | −0.971583 | − | 0.236699i | \(-0.923934\pi\) |
0.690779 | + | 0.723066i | \(0.257268\pi\) | |||||||
\(548\) | −8.02806 | + | 13.9050i | −0.342942 | + | 0.593992i | ||||
\(549\) | 5.54693 | + | 9.60756i | 0.236737 | + | 0.410041i | ||||
\(550\) | −17.0912 | −0.728771 | ||||||||
\(551\) | 36.3358 | 1.54796 | ||||||||
\(552\) | −8.88850 | − | 15.3953i | −0.378320 | − | 0.655269i | ||||
\(553\) | −2.63991 | − | 4.57245i | −0.112260 | − | 0.194441i | ||||
\(554\) | 13.2177 | + | 22.8938i | 0.561568 | + | 0.972664i | ||||
\(555\) | 1.87608 | + | 3.24946i | 0.0796350 | + | 0.137932i | ||||
\(556\) | −4.31555 | + | 7.47476i | −0.183020 | + | 0.317000i | ||||
\(557\) | 5.39138 | − | 9.33815i | 0.228440 | − | 0.395670i | −0.728906 | − | 0.684614i | \(-0.759971\pi\) |
0.957346 | + | 0.288944i | \(0.0933041\pi\) | |||||||
\(558\) | −9.25580 | −0.391829 | ||||||||
\(559\) | 17.6008 | + | 30.4854i | 0.744433 | + | 1.28940i | ||||
\(560\) | 1.92585 | 0.0813820 | ||||||||
\(561\) | −18.8144 | −0.794345 | ||||||||
\(562\) | −12.4163 | + | 21.5056i | −0.523749 | + | 0.907160i | ||||
\(563\) | −16.5207 | −0.696264 | −0.348132 | − | 0.937446i | \(-0.613184\pi\) | ||||
−0.348132 | + | 0.937446i | \(0.613184\pi\) | |||||||
\(564\) | −2.78024 | − | 4.81552i | −0.117069 | − | 0.202770i | ||||
\(565\) | 1.14763 | − | 1.98776i | 0.0482813 | − | 0.0836257i | ||||
\(566\) | 13.7666 | + | 23.8444i | 0.578652 | + | 1.00225i | ||||
\(567\) | −1.74135 | + | 3.01611i | −0.0731300 | + | 0.126665i | ||||
\(568\) | 8.46208 | − | 14.6568i | 0.355061 | − | 0.614984i | ||||
\(569\) | 15.7940 | − | 27.3561i | 0.662120 | − | 1.14683i | −0.317937 | − | 0.948112i | \(-0.602990\pi\) |
0.980058 | − | 0.198714i | \(-0.0636765\pi\) | |||||||
\(570\) | −0.658512 | + | 1.14058i | −0.0275820 | + | 0.0477735i | ||||
\(571\) | 3.40362 | − | 5.89523i | 0.142437 | − | 0.246708i | −0.785977 | − | 0.618256i | \(-0.787840\pi\) |
0.928414 | + | 0.371548i | \(0.121173\pi\) | |||||||
\(572\) | 6.99124 | − | 12.1092i | 0.292318 | − | 0.506310i | ||||
\(573\) | 4.51623 | + | 7.82235i | 0.188668 | + | 0.326783i | ||||
\(574\) | 4.08679 | − | 7.07853i | 0.170579 | − | 0.295452i | ||||
\(575\) | 14.1882 | + | 24.5746i | 0.591687 | + | 1.02483i | ||||
\(576\) | 7.94018 | 0.330841 | ||||||||
\(577\) | −3.29747 | + | 5.71139i | −0.137276 | + | 0.237768i | −0.926464 | − | 0.376382i | \(-0.877168\pi\) |
0.789189 | + | 0.614151i | \(0.210501\pi\) | |||||||
\(578\) | −17.7392 | −0.737855 | ||||||||
\(579\) | 12.2171 | 0.507724 | ||||||||
\(580\) | −1.47183 | − | 2.54929i | −0.0611146 | − | 0.105854i | ||||
\(581\) | −7.32768 | −0.304003 | ||||||||
\(582\) | −1.79226 | + | 3.10429i | −0.0742917 | + | 0.128677i | ||||
\(583\) | 6.82531 | − | 11.8218i | 0.282676 | − | 0.489608i | ||||
\(584\) | 5.74044 | + | 9.94274i | 0.237541 | + | 0.411433i | ||||
\(585\) | −0.877640 | − | 1.52012i | −0.0362860 | − | 0.0628491i | ||||
\(586\) | 5.08504 | + | 8.80755i | 0.210061 | + | 0.363836i | ||||
\(587\) | 9.61753 | + | 16.6581i | 0.396958 | + | 0.687552i | 0.993349 | − | 0.115143i | \(-0.0367325\pi\) |
−0.596391 | + | 0.802694i | \(0.703399\pi\) | |||||||
\(588\) | −4.31357 | −0.177889 | ||||||||
\(589\) | 30.6376 | 1.26240 | ||||||||
\(590\) | 0.911979 | + | 1.57959i | 0.0375456 | + | 0.0650309i | ||||
\(591\) | −3.82664 | + | 6.62793i | −0.157407 | + | 0.272637i | ||||
\(592\) | 8.80311 | − | 15.2474i | 0.361806 | − | 0.626666i | ||||
\(593\) | −3.73635 | − | 6.47154i | −0.153433 | − | 0.265754i | 0.779054 | − | 0.626957i | \(-0.215700\pi\) |
−0.932487 | + | 0.361202i | \(0.882366\pi\) | |||||||
\(594\) | 3.50075 | 0.143638 | ||||||||
\(595\) | −6.91755 | −0.283592 | ||||||||
\(596\) | −2.06657 | + | 3.57941i | −0.0846500 | + | 0.146618i | ||||
\(597\) | 9.71520 | + | 16.8272i | 0.397617 | + | 0.688693i | ||||
\(598\) | 31.9947 | 1.30836 | ||||||||
\(599\) | −2.34541 | + | 4.06237i | −0.0958308 | + | 0.165984i | −0.909955 | − | 0.414707i | \(-0.863884\pi\) |
0.814124 | + | 0.580691i | \(0.197217\pi\) | |||||||
\(600\) | −14.9322 | −0.609606 | ||||||||
\(601\) | −2.45628 | − | 4.25440i | −0.100194 | − | 0.173541i | 0.811571 | − | 0.584254i | \(-0.198613\pi\) |
−0.911764 | + | 0.410714i | \(0.865280\pi\) | |||||||
\(602\) | −25.8130 | −1.05206 | ||||||||
\(603\) | 8.16969 | − | 0.506056i | 0.332696 | − | 0.0206082i | ||||
\(604\) | −16.3822 | −0.666583 | ||||||||
\(605\) | −0.0731627 | − | 0.126722i | −0.00297449 | − | 0.00515197i | ||||
\(606\) | −2.93733 | −0.119321 | ||||||||
\(607\) | 1.32795 | − | 2.30007i | 0.0538998 | − | 0.0933571i | −0.837817 | − | 0.545952i | \(-0.816168\pi\) |
0.891716 | + | 0.452595i | \(0.149502\pi\) | |||||||
\(608\) | −15.6189 | −0.633429 | ||||||||
\(609\) | −17.7555 | − | 30.7535i | −0.719490 | − | 1.24619i | ||||
\(610\) | 2.05002 | − | 3.55074i | 0.0830030 | − | 0.143765i | ||||
\(611\) | 33.8078 | 1.36772 | ||||||||
\(612\) | −4.86585 | −0.196690 | ||||||||
\(613\) | −2.74072 | − | 4.74706i | −0.110697 | − | 0.191732i | 0.805355 | − | 0.592793i | \(-0.201975\pi\) |
−0.916051 | + | 0.401061i | \(0.868642\pi\) | |||||||
\(614\) | −0.526679 | + | 0.912234i | −0.0212550 | + | 0.0368148i | ||||
\(615\) | 0.374178 | − | 0.648096i | 0.0150883 | − | 0.0261338i | ||||
\(616\) | 17.3187 | + | 29.9969i | 0.697791 | + | 1.20861i | ||||
\(617\) | −21.0548 | −0.847636 | −0.423818 | − | 0.905747i | \(-0.639310\pi\) | ||||
−0.423818 | + | 0.905747i | \(0.639310\pi\) | |||||||
\(618\) | 2.32456 | 0.0935076 | ||||||||
\(619\) | −4.28484 | − | 7.42156i | −0.172222 | − | 0.298298i | 0.766974 | − | 0.641678i | \(-0.221761\pi\) |
−0.939196 | + | 0.343380i | \(0.888428\pi\) | |||||||
\(620\) | −1.24102 | − | 2.14951i | −0.0498407 | − | 0.0863265i | ||||
\(621\) | −2.90613 | − | 5.03356i | −0.116619 | − | 0.201990i | ||||
\(622\) | −10.0756 | − | 17.4515i | −0.403996 | − | 0.699742i | ||||
\(623\) | −18.2709 | + | 31.6461i | −0.732007 | + | 1.26787i | ||||
\(624\) | −4.11815 | + | 7.13285i | −0.164858 | + | 0.285542i | ||||
\(625\) | 23.2462 | 0.929847 | ||||||||
\(626\) | 4.94450 | + | 8.56412i | 0.197622 | + | 0.342291i | ||||
\(627\) | −11.5878 | −0.462773 | ||||||||
\(628\) | 3.89664 | 0.155493 | ||||||||
\(629\) | −31.6203 | + | 54.7680i | −1.26079 | + | 2.18374i | ||||
\(630\) | 1.28713 | 0.0512806 | ||||||||
\(631\) | −3.59219 | − | 6.22186i | −0.143003 | − | 0.247688i | 0.785623 | − | 0.618705i | \(-0.212343\pi\) |
−0.928626 | + | 0.371017i | \(0.879009\pi\) | |||||||
\(632\) | −2.31838 | + | 4.01556i | −0.0922204 | + | 0.159730i | ||||
\(633\) | −10.0124 | − | 17.3420i | −0.397957 | − | 0.689281i | ||||
\(634\) | 13.1785 | − | 22.8259i | 0.523386 | − | 0.906531i | ||||
\(635\) | −0.0858024 | + | 0.148614i | −0.00340496 | + | 0.00589757i | ||||
\(636\) | 1.76519 | − | 3.05739i | 0.0699942 | − | 0.121233i | ||||
\(637\) | 13.1133 | − | 22.7128i | 0.519567 | − | 0.899916i | ||||
\(638\) | −17.8475 | + | 30.9128i | −0.706590 | + | 1.22385i | ||||
\(639\) | 2.76671 | − | 4.79208i | 0.109449 | − | 0.189572i | ||||
\(640\) | 0.0373436 | + | 0.0646810i | 0.00147614 | + | 0.00255674i | ||||
\(641\) | 23.1021 | − | 40.0140i | 0.912477 | − | 1.58046i | 0.101923 | − | 0.994792i | \(-0.467501\pi\) |
0.810554 | − | 0.585664i | \(-0.199166\pi\) | |||||||
\(642\) | 5.70629 | + | 9.88359i | 0.225209 | + | 0.390074i | ||||
\(643\) | 11.1017 | 0.437808 | 0.218904 | − | 0.975746i | \(-0.429752\pi\) | ||||
0.218904 | + | 0.975746i | \(0.429752\pi\) | |||||||
\(644\) | 8.51166 | − | 14.7426i | 0.335406 | − | 0.580941i | ||||
\(645\) | −2.36338 | −0.0930582 | ||||||||
\(646\) | −22.1978 | −0.873361 | ||||||||
\(647\) | 21.2070 | + | 36.7317i | 0.833735 | + | 1.44407i | 0.895056 | + | 0.445953i | \(0.147135\pi\) |
−0.0613210 | + | 0.998118i | \(0.519531\pi\) | |||||||
\(648\) | 3.05854 | 0.120151 | ||||||||
\(649\) | −8.02404 | + | 13.8980i | −0.314971 | + | 0.545546i | ||||
\(650\) | 13.4374 | − | 23.2742i | 0.527058 | − | 0.912891i | ||||
\(651\) | −14.9711 | − | 25.9307i | −0.586764 | − | 1.01631i | ||||
\(652\) | −1.62313 | − | 2.81134i | −0.0635666 | − | 0.110101i | ||||
\(653\) | −23.0014 | − | 39.8395i | −0.900113 | − | 1.55904i | −0.827346 | − | 0.561692i | \(-0.810150\pi\) |
−0.0727668 | − | 0.997349i | \(-0.523183\pi\) | |||||||
\(654\) | −2.81152 | − | 4.86970i | −0.109939 | − | 0.190420i | ||||
\(655\) | 1.91440 | 0.0748018 | ||||||||
\(656\) | −3.51152 | −0.137102 | ||||||||
\(657\) | 1.87686 | + | 3.25081i | 0.0732232 | + | 0.126826i | ||||
\(658\) | −12.3955 | + | 21.4696i | −0.483227 | + | 0.836973i | ||||
\(659\) | −7.33225 | + | 12.6998i | −0.285624 | + | 0.494715i | −0.972760 | − | 0.231813i | \(-0.925534\pi\) |
0.687136 | + | 0.726528i | \(0.258867\pi\) | |||||||
\(660\) | 0.469383 | + | 0.812994i | 0.0182707 | + | 0.0316458i | ||||
\(661\) | −25.5192 | −0.992582 | −0.496291 | − | 0.868156i | \(-0.665305\pi\) | ||||
−0.496291 | + | 0.868156i | \(0.665305\pi\) | |||||||
\(662\) | −11.8179 | −0.459314 | ||||||||
\(663\) | 14.7922 | − | 25.6208i | 0.574481 | − | 0.995031i | ||||
\(664\) | 3.21761 | + | 5.57306i | 0.124867 | + | 0.216277i | ||||
\(665\) | −4.26054 | −0.165217 | ||||||||
\(666\) | 5.88352 | − | 10.1906i | 0.227982 | − | 0.394876i | ||||
\(667\) | 59.2640 | 2.29471 | ||||||||
\(668\) | −8.80365 | − | 15.2484i | −0.340623 | − | 0.589977i | ||||
\(669\) | 14.6218 | 0.565313 | ||||||||
\(670\) | −1.67164 | − | 2.52131i | −0.0645811 | − | 0.0974068i | ||||
\(671\) | 36.0742 | 1.39263 | ||||||||
\(672\) | 7.63219 | + | 13.2193i | 0.294418 | + | 0.509947i | ||||
\(673\) | −0.732979 | −0.0282543 | −0.0141271 | − | 0.999900i | \(-0.504497\pi\) | ||||
−0.0141271 | + | 0.999900i | \(0.504497\pi\) | |||||||
\(674\) | 1.99040 | − | 3.44747i | 0.0766673 | − | 0.132792i | ||||
\(675\) | −4.88215 | −0.187914 | ||||||||
\(676\) | 5.52692 | + | 9.57291i | 0.212574 | + | 0.368189i | ||||
\(677\) | −16.7758 | + | 29.0565i | −0.644745 | + | 1.11673i | 0.339615 | + | 0.940564i | \(0.389703\pi\) |
−0.984360 | + | 0.176167i | \(0.943630\pi\) | |||||||
\(678\) | −7.19814 | −0.276443 | ||||||||
\(679\) | −11.5958 | −0.445007 | ||||||||
\(680\) | 3.03752 | + | 5.26114i | 0.116484 | + | 0.201756i | ||||
\(681\) | 0.515824 | − | 0.893434i | 0.0197664 | − | 0.0342365i | ||||
\(682\) | −15.0487 | + | 26.0651i | −0.576244 | + | 0.998083i | ||||
\(683\) | −11.0494 | − | 19.1380i | −0.422792 | − | 0.732297i | 0.573420 | − | 0.819262i | \(-0.305616\pi\) |
−0.996211 | + | 0.0869651i | \(0.972283\pi\) | |||||||
\(684\) | −2.99689 | −0.114589 | ||||||||
\(685\) | 6.55417 | 0.250422 | ||||||||
\(686\) | −3.50710 | − | 6.07448i | −0.133902 | − | 0.231925i | ||||
\(687\) | −2.64969 | − | 4.58939i | −0.101092 | − | 0.175096i | ||||
\(688\) | 5.54485 | + | 9.60397i | 0.211396 | + | 0.366148i | ||||
\(689\) | 10.7323 | + | 18.5890i | 0.408870 | + | 0.708183i | ||||
\(690\) | −1.07404 | + | 1.86029i | −0.0408881 | + | 0.0708202i | ||||
\(691\) | 2.39641 | − | 4.15071i | 0.0911638 | − | 0.157900i | −0.816837 | − | 0.576868i | \(-0.804275\pi\) |
0.908001 | + | 0.418968i | \(0.137608\pi\) | |||||||
\(692\) | 12.8567 | 0.488738 | ||||||||
\(693\) | 5.66241 | + | 9.80759i | 0.215097 | + | 0.372560i | ||||
\(694\) | 17.2056 | 0.653117 | ||||||||
\(695\) | 3.52325 | 0.133645 | ||||||||
\(696\) | −15.5930 | + | 27.0079i | −0.591052 | + | 1.02373i | ||||
\(697\) | 12.6132 | 0.477758 | ||||||||
\(698\) | 18.6449 | + | 32.2939i | 0.705720 | + | 1.22234i | ||||
\(699\) | −5.93846 | + | 10.2857i | −0.224613 | + | 0.389042i | ||||
\(700\) | −7.14959 | − | 12.3834i | −0.270229 | − | 0.468050i | ||||
\(701\) | −16.6173 | + | 28.7820i | −0.627627 | + | 1.08708i | 0.360400 | + | 0.932798i | \(0.382640\pi\) |
−0.988027 | + | 0.154283i | \(0.950693\pi\) | |||||||
\(702\) | −2.75235 | + | 4.76721i | −0.103881 | + | 0.179927i | ||||
\(703\) | −19.4750 | + | 33.7318i | −0.734515 | + | 1.27222i | ||||
\(704\) | 12.9097 | − | 22.3602i | 0.486551 | − | 0.842731i | ||||
\(705\) | −1.13491 | + | 1.96572i | −0.0427431 | + | 0.0740331i | ||||
\(706\) | −8.36369 | + | 14.4863i | −0.314772 | + | 0.545200i | ||||
\(707\) | −4.75110 | − | 8.22914i | −0.178683 | − | 0.309489i | ||||
\(708\) | −2.07521 | + | 3.59436i | −0.0779910 | + | 0.135084i | ||||
\(709\) | −5.31674 | − | 9.20887i | −0.199675 | − | 0.345846i | 0.748748 | − | 0.662854i | \(-0.230655\pi\) |
−0.948423 | + | 0.317008i | \(0.897322\pi\) | |||||||
\(710\) | −2.04503 | −0.0767486 | ||||||||
\(711\) | −0.758004 | + | 1.31290i | −0.0284274 | + | 0.0492377i | ||||
\(712\) | 32.0912 | 1.20267 | ||||||||
\(713\) | 49.9703 | 1.87140 | ||||||||
\(714\) | 10.8470 | + | 18.7875i | 0.405939 | + | 0.703106i | ||||
\(715\) | −5.70770 | −0.213456 | ||||||||
\(716\) | −2.89838 | + | 5.02015i | −0.108318 | + | 0.187612i | ||||
\(717\) | 0.489214 | − | 0.847344i | 0.0182700 | − | 0.0316446i | ||||
\(718\) | −18.6445 | − | 32.2932i | −0.695807 | − | 1.20517i | ||||
\(719\) | −4.32778 | − | 7.49594i | −0.161399 | − | 0.279551i | 0.773972 | − | 0.633220i | \(-0.218267\pi\) |
−0.935371 | + | 0.353669i | \(0.884934\pi\) | |||||||
\(720\) | −0.276487 | − | 0.478890i | −0.0103041 | − | 0.0178472i | ||||
\(721\) | 3.75995 | + | 6.51242i | 0.140028 | + | 0.242535i | ||||
\(722\) | 6.78336 | 0.252450 | ||||||||
\(723\) | −9.10790 | −0.338726 | ||||||||
\(724\) | 4.99028 | + | 8.64343i | 0.185462 | + | 0.321230i | ||||
\(725\) | 24.8902 | − | 43.1110i | 0.924398 | − | 1.60110i | ||||
\(726\) | −0.229444 | + | 0.397409i | −0.00851547 | + | 0.0147492i | ||||
\(727\) | 22.4287 | + | 38.8476i | 0.831834 | + | 1.44078i | 0.896582 | + | 0.442877i | \(0.146042\pi\) |
−0.0647480 | + | 0.997902i | \(0.520624\pi\) | |||||||
\(728\) | −54.4650 | −2.01861 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0.693646 | − | 1.20143i | 0.0256730 | − | 0.0444669i | ||||
\(731\) | −19.9168 | − | 34.4970i | −0.736651 | − | 1.27592i | ||||
\(732\) | 9.32964 | 0.344833 | ||||||||
\(733\) | 23.0814 | − | 39.9781i | 0.852530 | − | 1.47663i | −0.0263879 | − | 0.999652i | \(-0.508400\pi\) |
0.878918 | − | 0.476973i | \(-0.158266\pi\) | |||||||
\(734\) | −19.5864 | −0.722947 | ||||||||
\(735\) | 0.880408 | + | 1.52491i | 0.0324743 | + | 0.0562472i | ||||
\(736\) | −25.4745 | −0.939004 | ||||||||
\(737\) | 11.8577 | − | 23.8293i | 0.436785 | − | 0.877764i | ||||
\(738\) | −2.34691 | −0.0863908 | ||||||||
\(739\) | −22.5613 | − | 39.0774i | −0.829932 | − | 1.43748i | −0.898091 | − | 0.439809i | \(-0.855046\pi\) |
0.0681597 | − | 0.997674i | \(-0.478287\pi\) | |||||||
\(740\) | 3.15546 | 0.115997 | ||||||||
\(741\) | 9.11055 | − | 15.7799i | 0.334684 | − | 0.579690i | ||||
\(742\) | −15.7399 | −0.577829 | ||||||||
\(743\) | −22.8919 | − | 39.6500i | −0.839824 | − | 1.45462i | −0.890042 | − | 0.455879i | \(-0.849325\pi\) |
0.0502182 | − | 0.998738i | \(-0.484008\pi\) | |||||||
\(744\) | −13.1477 | + | 22.7726i | −0.482019 | + | 0.834882i | ||||
\(745\) | 1.68716 | 0.0618129 | ||||||||
\(746\) | 23.2193 | 0.850121 | ||||||||
\(747\) | 1.05201 | + | 1.82213i | 0.0384910 | + | 0.0666683i | ||||
\(748\) | −7.91121 | + | 13.7026i | −0.289263 | + | 0.501017i | ||||
\(749\) | −18.4597 | + | 31.9731i | −0.674503 | + | 1.16827i | ||||
\(750\) | 1.82611 | + | 3.16292i | 0.0666803 | + | 0.115494i | ||||
\(751\) | 16.9859 | 0.619825 | 0.309912 | − | 0.950765i | \(-0.399700\pi\) | ||||
0.309912 | + | 0.950765i | \(0.399700\pi\) | |||||||
\(752\) | 10.6506 | 0.388389 | ||||||||
\(753\) | −6.65387 | − | 11.5248i | −0.242481 | − | 0.419989i | ||||
\(754\) | −28.0640 | − | 48.6083i | −1.02203 | − | 1.77021i | ||||
\(755\) | 3.34365 | + | 5.79136i | 0.121688 | + | 0.210769i | ||||
\(756\) | 1.46443 | + | 2.53647i | 0.0532609 | + | 0.0922506i | ||||
\(757\) | −19.3633 | + | 33.5382i | −0.703771 | + | 1.21897i | 0.263362 | + | 0.964697i | \(0.415169\pi\) |
−0.967133 | + | 0.254271i | \(0.918165\pi\) | |||||||
\(758\) | 14.4842 | − | 25.0874i | 0.526091 | − | 0.911216i | ||||
\(759\) | −18.8999 | −0.686022 | ||||||||
\(760\) | 1.87082 | + | 3.24035i | 0.0678617 | + | 0.117540i | ||||
\(761\) | −11.6991 | −0.424091 | −0.212046 | − | 0.977260i | \(-0.568013\pi\) | ||||
−0.212046 | + | 0.977260i | \(0.568013\pi\) | |||||||
\(762\) | 0.538166 | 0.0194957 | ||||||||
\(763\) | 9.09520 | − | 15.7533i | 0.329268 | − | 0.570309i | ||||
\(764\) | 7.59607 | 0.274816 | ||||||||
\(765\) | 0.993129 | + | 1.72015i | 0.0359066 | + | 0.0621921i | ||||
\(766\) | 4.26029 | − | 7.37904i | 0.153931 | − | 0.266616i | ||||
\(767\) | −12.6173 | − | 21.8538i | −0.455583 | − | 0.789093i | ||||
\(768\) | 8.05729 | − | 13.9556i | 0.290742 | − | 0.503581i | ||||
\(769\) | −6.73194 | + | 11.6601i | −0.242760 | + | 0.420473i | −0.961499 | − | 0.274807i | \(-0.911386\pi\) |
0.718739 | + | 0.695280i | \(0.244719\pi\) | |||||||
\(770\) | 2.09270 | − | 3.62467i | 0.0754159 | − | 0.130624i | ||||
\(771\) | −9.93977 | + | 17.2162i | −0.357972 | + | 0.620026i | ||||
\(772\) | 5.13711 | − | 8.89774i | 0.184889 | − | 0.320237i | ||||
\(773\) | 10.3156 | − | 17.8672i | 0.371028 | − | 0.642639i | −0.618696 | − | 0.785630i | \(-0.712339\pi\) |
0.989724 | + | 0.142991i | \(0.0456721\pi\) | |||||||
\(774\) | 3.70588 | + | 6.41877i | 0.133205 | + | 0.230718i | ||||
\(775\) | 20.9869 | − | 36.3504i | 0.753872 | − | 1.30574i | ||||
\(776\) | 5.09177 | + | 8.81921i | 0.182784 | + | 0.316591i | ||||
\(777\) | 38.0660 | 1.36561 | ||||||||
\(778\) | 14.3771 | − | 24.9019i | 0.515445 | − | 0.892777i | ||||
\(779\) | 7.76849 | 0.278335 | ||||||||
\(780\) | −1.47615 | −0.0528545 | ||||||||
\(781\) | −8.99659 | − | 15.5826i | −0.321923 | − | 0.557588i | ||||
\(782\) | −36.2049 | −1.29468 | ||||||||
\(783\) | −5.09820 | + | 8.83033i | −0.182195 | + | 0.315570i | ||||
\(784\) | 4.13114 | − | 7.15534i | 0.147541 | − | 0.255548i | ||||
\(785\) | −0.795312 | − | 1.37752i | −0.0283859 | − | 0.0491659i | ||||
\(786\) | −3.00186 | − | 5.19937i | −0.107073 | − | 0.185455i | ||||
\(787\) | 0.684812 | + | 1.18613i | 0.0244109 | + | 0.0422809i | 0.877973 | − | 0.478711i | \(-0.158896\pi\) |
−0.853562 | + | 0.520991i | \(0.825562\pi\) | |||||||
\(788\) | 3.21810 | + | 5.57392i | 0.114640 | + | 0.198563i | ||||
\(789\) | 2.77387 | 0.0987524 | ||||||||
\(790\) | 0.560284 | 0.0199340 | ||||||||
\(791\) | −11.6429 | − | 20.1661i | −0.413973 | − | 0.717023i | ||||
\(792\) | 4.97277 | − | 8.61309i | 0.176700 | − | 0.306053i | ||||
\(793\) | −28.3622 | + | 49.1247i | −1.00717 | + | 1.74447i | ||||
\(794\) | −20.9379 | − | 36.2655i | −0.743059 | − | 1.28702i | ||||
\(795\) | −1.44111 | −0.0511110 | ||||||||
\(796\) | 16.3405 | 0.579173 | ||||||||
\(797\) | 17.5722 | − | 30.4360i | 0.622440 | − | 1.07810i | −0.366590 | − | 0.930383i | \(-0.619475\pi\) |
0.989030 | − | 0.147715i | \(-0.0471918\pi\) | |||||||
\(798\) | 6.68069 | + | 11.5713i | 0.236494 | + | 0.409619i | ||||
\(799\) | −38.2566 | −1.35342 | ||||||||
\(800\) | −10.6990 | + | 18.5312i | −0.378267 | + | 0.655177i | ||||
\(801\) | 10.4923 | 0.370728 | ||||||||
\(802\) | 17.2380 | + | 29.8571i | 0.608696 | + | 1.05429i | ||||
\(803\) | 12.2061 | 0.430743 | ||||||||
\(804\) | 3.06669 | − | 6.16282i | 0.108154 | − | 0.217346i | ||||
\(805\) | −6.94899 | −0.244920 | ||||||||
\(806\) | −23.6630 | − | 40.9856i | −0.833495 | − | 1.44366i | ||||
\(807\) | −6.16204 | −0.216914 | ||||||||
\(808\) | −4.17244 | + | 7.22689i | −0.146786 | + | 0.254241i | ||||
\(809\) | −1.41533 | −0.0497604 | −0.0248802 | − | 0.999690i | \(-0.507920\pi\) | ||||
−0.0248802 | + | 0.999690i | \(0.507920\pi\) | |||||||
\(810\) | −0.184789 | − | 0.320064i | −0.00649283 | − | 0.0112459i | ||||
\(811\) | −12.9317 | + | 22.3984i | −0.454095 | + | 0.786516i | −0.998636 | − | 0.0522187i | \(-0.983371\pi\) |
0.544541 | + | 0.838735i | \(0.316704\pi\) | |||||||
\(812\) | −29.8639 | −1.04802 | ||||||||
\(813\) | 18.5823 | 0.651710 | ||||||||
\(814\) | −19.1316 | − | 33.1369i | −0.670563 | − | 1.16145i | ||||
\(815\) | −0.662567 | + | 1.14760i | −0.0232087 | + | 0.0401987i | ||||
\(816\) | 4.66006 | − | 8.07146i | 0.163135 | − | 0.282558i | ||||
\(817\) | −12.2668 | − | 21.2468i | −0.429162 | − | 0.743330i | ||||
\(818\) | −3.69854 | −0.129316 | ||||||||
\(819\) | −17.8075 | −0.622246 | ||||||||
\(820\) | −0.314674 | − | 0.545032i | −0.0109889 | − | 0.0190333i | ||||
\(821\) | 7.99568 | + | 13.8489i | 0.279051 | + | 0.483331i | 0.971149 | − | 0.238473i | \(-0.0766468\pi\) |
−0.692098 | + | 0.721804i | \(0.743313\pi\) | |||||||
\(822\) | −10.2772 | − | 17.8006i | −0.358458 | − | 0.620868i | ||||
\(823\) | 7.70041 | + | 13.3375i | 0.268419 | + | 0.464916i | 0.968454 | − | 0.249193i | \(-0.0801654\pi\) |
−0.700034 | + | 0.714109i | \(0.746832\pi\) | |||||||
\(824\) | 3.30201 | − | 5.71925i | 0.115031 | − | 0.199239i | ||||
\(825\) | −7.93772 | + | 13.7485i | −0.276356 | + | 0.478663i | ||||
\(826\) | 18.5043 | 0.643846 | ||||||||
\(827\) | −1.34933 | − | 2.33711i | −0.0469208 | − | 0.0812692i | 0.841611 | − | 0.540084i | \(-0.181608\pi\) |
−0.888532 | + | 0.458815i | \(0.848274\pi\) | |||||||
\(828\) | −4.88795 | −0.169868 | ||||||||
\(829\) | 49.4219 | 1.71649 | 0.858247 | − | 0.513237i | \(-0.171554\pi\) | ||||
0.858247 | + | 0.513237i | \(0.171554\pi\) | |||||||
\(830\) | 0.388799 | − | 0.673420i | 0.0134954 | − | 0.0233748i | ||||
\(831\) | 24.5550 | 0.851805 | ||||||||
\(832\) | 20.2996 | + | 35.1599i | 0.703761 | + | 1.21895i | ||||
\(833\) | −14.8388 | + | 25.7016i | −0.514135 | + | 0.890509i | ||||
\(834\) | −5.52460 | − | 9.56888i | −0.191301 | − | 0.331343i | ||||
\(835\) | −3.59368 | + | 6.22444i | −0.124365 | + | 0.215406i | ||||
\(836\) | −4.87253 | + | 8.43947i | −0.168520 | + | 0.291885i | ||||
\(837\) | −4.29870 | + | 7.44557i | −0.148585 | + | 0.257356i | ||||
\(838\) | −9.02454 | + | 15.6310i | −0.311747 | + | 0.539962i | ||||
\(839\) | −10.0726 | + | 17.4463i | −0.347745 | + | 0.602312i | −0.985849 | − | 0.167639i | \(-0.946386\pi\) |
0.638103 | + | 0.769951i | \(0.279719\pi\) | |||||||
\(840\) | 1.82836 | − | 3.16680i | 0.0630843 | − | 0.109265i | ||||
\(841\) | −37.4832 | − | 64.9228i | −1.29252 | − | 2.23872i | ||||
\(842\) | 2.90356 | − | 5.02912i | 0.100063 | − | 0.173315i | ||||
\(843\) | 11.5331 | + | 19.9759i | 0.397220 | + | 0.688005i | ||||
\(844\) | −16.8403 | −0.579667 | ||||||||
\(845\) | 2.25611 | − | 3.90770i | 0.0776126 | − | 0.134429i | ||||
\(846\) | 7.11831 | 0.244733 | ||||||||
\(847\) | −1.48449 | −0.0510077 | ||||||||
\(848\) | 3.38107 | + | 5.85618i | 0.116106 | + | 0.201102i | ||||
\(849\) | 25.5746 | 0.877719 | ||||||||
\(850\) | −15.2056 | + | 26.3369i | −0.521548 | + | 0.903348i | ||||
\(851\) | −31.7640 | + | 55.0169i | −1.08886 | + | 1.88595i | ||||
\(852\) | −2.32673 | − | 4.03001i | −0.0797124 | − | 0.138066i | ||||
\(853\) | −13.7870 | − | 23.8799i | −0.472059 | − | 0.817631i | 0.527429 | − | 0.849599i | \(-0.323156\pi\) |
−0.999489 | + | 0.0319679i | \(0.989823\pi\) | |||||||
\(854\) | −20.7977 | − | 36.0227i | −0.711684 | − | 1.23267i | ||||
\(855\) | 0.611670 | + | 1.05944i | 0.0209187 | + | 0.0362322i | ||||
\(856\) | 32.4229 | 1.10819 | ||||||||
\(857\) | −38.4987 | −1.31509 | −0.657546 | − | 0.753414i | \(-0.728405\pi\) | ||||
−0.657546 | + | 0.753414i | \(0.728405\pi\) | |||||||
\(858\) | 8.94990 | + | 15.5017i | 0.305544 | + | 0.529218i | ||||
\(859\) | −9.08702 | + | 15.7392i | −0.310045 | + | 0.537014i | −0.978372 | − | 0.206854i | \(-0.933678\pi\) |
0.668327 | + | 0.743868i | \(0.267011\pi\) | |||||||
\(860\) | −0.993772 | + | 1.72126i | −0.0338874 | + | 0.0586946i | ||||
\(861\) | −3.79609 | − | 6.57501i | −0.129370 | − | 0.224076i | ||||
\(862\) | −1.04202 | −0.0354912 | ||||||||
\(863\) | 29.7060 | 1.01120 | 0.505602 | − | 0.862767i | \(-0.331270\pi\) | ||||
0.505602 | + | 0.862767i | \(0.331270\pi\) | |||||||
\(864\) | 2.19145 | − | 3.79571i | 0.0745547 | − | 0.129133i | ||||
\(865\) | −2.62408 | − | 4.54503i | −0.0892213 | − | 0.154536i | ||||
\(866\) | 15.8771 | 0.539526 | ||||||||
\(867\) | −8.23870 | + | 14.2698i | −0.279801 | + | 0.484629i | ||||
\(868\) | −25.1806 | −0.854687 | ||||||||
\(869\) | 2.46483 | + | 4.26920i | 0.0836135 | + | 0.144823i | ||||
\(870\) | 3.76836 | 0.127760 | ||||||||
\(871\) | 23.1272 | + | 34.8825i | 0.783636 | + | 1.18195i | ||||
\(872\) | −15.9749 | −0.540979 | ||||||||
\(873\) | 1.66477 | + | 2.88347i | 0.0563440 | + | 0.0975907i | ||||
\(874\) | −22.2987 | −0.754263 | ||||||||
\(875\) | −5.90743 | + | 10.2320i | −0.199707 | + | 0.345904i | ||||
\(876\) | 3.15678 | 0.106658 | ||||||||
\(877\) | 5.01186 | + | 8.68079i | 0.169238 | + | 0.293130i | 0.938152 | − | 0.346223i | \(-0.112536\pi\) |
−0.768914 | + | 0.639352i | \(0.779203\pi\) | |||||||
\(878\) | 6.40747 | − | 11.0981i | 0.216242 | − | 0.374542i | ||||
\(879\) | 9.44665 | 0.318628 | ||||||||
\(880\) | −1.79813 | −0.0606148 | ||||||||
\(881\) | 17.0824 | + | 29.5876i | 0.575520 | + | 0.996831i | 0.995985 | + | 0.0895216i | \(0.0285338\pi\) |
−0.420464 | + | 0.907309i | \(0.638133\pi\) | |||||||
\(882\) | 2.76103 | − | 4.78224i | 0.0929686 | − | 0.161026i | ||||
\(883\) | −6.83206 | + | 11.8335i | −0.229917 | + | 0.398228i | −0.957783 | − | 0.287491i | \(-0.907179\pi\) |
0.727866 | + | 0.685719i | \(0.240512\pi\) | |||||||
\(884\) | −12.4399 | − | 21.5465i | −0.418397 | − | 0.724686i | ||||
\(885\) | 1.69421 | 0.0569504 | ||||||||
\(886\) | −2.46487 | −0.0828091 | ||||||||
\(887\) | 28.5700 | + | 49.4847i | 0.959287 | + | 1.66153i | 0.724237 | + | 0.689551i | \(0.242192\pi\) |
0.235050 | + | 0.971983i | \(0.424475\pi\) | |||||||
\(888\) | −16.7149 | − | 28.9511i | −0.560916 | − | 0.971536i | ||||
\(889\) | 0.870476 | + | 1.50771i | 0.0291948 | + | 0.0505669i | ||||
\(890\) | −1.93887 | − | 3.35822i | −0.0649910 | − | 0.112568i | ||||
\(891\) | 1.62587 | − | 2.81608i | 0.0544685 | − | 0.0943423i | ||||
\(892\) | 6.14830 | − | 10.6492i | 0.205860 | − | 0.356560i | ||||
\(893\) | −23.5623 | −0.788483 | ||||||||
\(894\) | −2.64554 | − | 4.58221i | −0.0884801 | − | 0.153252i | ||||
\(895\) | 2.36626 | 0.0790954 | ||||||||
\(896\) | 0.757711 | 0.0253133 | ||||||||
\(897\) | 14.8594 | − | 25.7372i | 0.496141 | − | 0.859342i | ||||
\(898\) | −5.33002 | −0.177865 | ||||||||
\(899\) | −43.8312 | − | 75.9179i | −1.46185 | − | 2.53200i | ||||
\(900\) | −2.05288 | + | 3.55570i | −0.0684294 | + | 0.118523i | ||||
\(901\) | −12.1446 | − | 21.0351i | −0.404596 | − | 0.700780i | ||||
\(902\) | −3.81575 | + | 6.60908i | −0.127051 | + | 0.220058i | ||||
\(903\) | −11.9884 | + | 20.7645i | −0.398949 | + | 0.691001i | ||||
\(904\) | −10.2249 | + | 17.7100i | −0.340074 | + | 0.589025i | ||||
\(905\) | 2.03705 | − | 3.52828i | 0.0677140 | − | 0.117284i | ||||
\(906\) | 10.4859 | − | 18.1622i | 0.348372 | − | 0.603398i | ||||
\(907\) | −21.7634 | + | 37.6952i | −0.722640 | + | 1.25165i | 0.237297 | + | 0.971437i | \(0.423738\pi\) |
−0.959938 | + | 0.280213i | \(0.909595\pi\) | |||||||
\(908\) | −0.433795 | − | 0.751355i | −0.0143960 | − | 0.0249346i | ||||
\(909\) | −1.36420 | + | 2.36286i | −0.0452475 | + | 0.0783710i | ||||
\(910\) | 3.29064 | + | 5.69955i | 0.109084 | + | 0.188938i | ||||
\(911\) | 35.8017 | 1.18616 | 0.593081 | − | 0.805143i | \(-0.297911\pi\) | ||||
0.593081 | + | 0.805143i | \(0.297911\pi\) | |||||||
\(912\) | 2.87014 | − | 4.97123i | 0.0950399 | − | 0.164614i | ||||
\(913\) | 6.84170 | 0.226427 | ||||||||
\(914\) | −8.96823 | −0.296643 | ||||||||
\(915\) | −1.90420 | − | 3.29817i | −0.0629508 | − | 0.109034i | ||||
\(916\) | −4.45664 | −0.147251 | ||||||||
\(917\) | 9.71092 | − | 16.8198i | 0.320683 | − | 0.555439i | ||||
\(918\) | 3.11453 | − | 5.39452i | 0.102795 | − | 0.178046i | ||||
\(919\) | 10.6899 | + | 18.5154i | 0.352627 | + | 0.610768i | 0.986709 | − | 0.162498i | \(-0.0519552\pi\) |
−0.634082 | + | 0.773266i | \(0.718622\pi\) | |||||||
\(920\) | 3.05132 | + | 5.28505i | 0.100599 | + | 0.174243i | ||||
\(921\) | 0.489214 | + | 0.847344i | 0.0161202 | + | 0.0279209i | ||||
\(922\) | −16.7796 | − | 29.0631i | −0.552605 | − | 0.957141i | ||||
\(923\) | 28.2931 | 0.931278 | ||||||||
\(924\) | 9.52389 | 0.313313 | ||||||||
\(925\) | 26.6810 | + | 46.2128i | 0.877266 | + | 1.51947i | ||||
\(926\) | −6.94725 | + | 12.0330i | −0.228301 | + | 0.395428i | ||||
\(927\) | 1.07960 | − | 1.86993i | 0.0354589 | − | 0.0614165i | ||||
\(928\) | 22.3449 | + | 38.7025i | 0.733507 | + | 1.27047i | ||||
\(929\) | −9.56408 | −0.313787 | −0.156894 | − | 0.987615i | \(-0.550148\pi\) | ||||
−0.156894 | + | 0.987615i | \(0.550148\pi\) | |||||||
\(930\) | 3.17741 | 0.104191 | ||||||||
\(931\) | −9.13928 | + | 15.8297i | −0.299528 | + | 0.518797i | ||||
\(932\) | 4.99409 | + | 8.65002i | 0.163587 | + | 0.283341i | ||||
\(933\) | −18.7178 | −0.612795 | ||||||||
\(934\) | 10.9281 | − | 18.9280i | 0.357579 | − | 0.619344i | ||||
\(935\) | 6.45878 | 0.211225 | ||||||||
\(936\) | 7.81935 | + | 13.5435i | 0.255583 | + | 0.442684i | ||||
\(937\) | 29.5922 | 0.966735 | 0.483367 | − | 0.875418i | \(-0.339414\pi\) | ||||
0.483367 | + | 0.875418i | \(0.339414\pi\) | |||||||
\(938\) | −30.6316 | + | 1.89741i | −1.00016 | + | 0.0619528i | ||||
\(939\) | 9.18556 | 0.299759 | ||||||||
\(940\) | 0.954427 | + | 1.65312i | 0.0311300 | + | 0.0539187i | ||||
\(941\) | 4.71313 | 0.153644 | 0.0768218 | − | 0.997045i | \(-0.475523\pi\) | ||||
0.0768218 | + | 0.997045i | \(0.475523\pi\) | |||||||
\(942\) | −2.49416 | + | 4.32001i | −0.0812642 | + | 0.140754i | ||||
\(943\) | 12.6705 | 0.412608 | ||||||||
\(944\) | −3.97488 | − | 6.88470i | −0.129371 | − | 0.224078i | ||||
\(945\) | 0.597787 | − | 1.03540i | 0.0194460 | − | 0.0336815i | ||||
\(946\) | 24.1010 | 0.783592 | ||||||||
\(947\) | −27.2589 | −0.885794 | −0.442897 | − | 0.896572i | \(-0.646049\pi\) | ||||
−0.442897 | + | 0.896572i | \(0.646049\pi\) | |||||||
\(948\) | 0.637462 | + | 1.10412i | 0.0207038 | + | 0.0358600i | ||||
\(949\) | −9.59662 | + | 16.6218i | −0.311519 | + | 0.539568i | ||||
\(950\) | −9.36517 | + | 16.2209i | −0.303846 | + | 0.526277i | ||||
\(951\) | −12.2411 | − | 21.2022i | −0.396945 | − | 0.687528i | ||||
\(952\) | 61.6321 | 1.99751 | ||||||||
\(953\) | 54.9702 | 1.78066 | 0.890329 | − | 0.455318i | \(-0.150474\pi\) | ||||
0.890329 | + | 0.455318i | \(0.150474\pi\) | |||||||
\(954\) | 2.25972 | + | 3.91395i | 0.0731611 | + | 0.126719i | ||||
\(955\) | −1.55037 | − | 2.68532i | −0.0501689 | − | 0.0868951i | ||||
\(956\) | −0.411416 | − | 0.712594i | −0.0133062 | − | 0.0230469i | ||||
\(957\) | 16.5780 | + | 28.7139i | 0.535889 | + | 0.928188i | ||||
\(958\) | 5.75697 | − | 9.97137i | 0.185999 | − | 0.322160i | ||||
\(959\) | 33.2464 | − | 57.5845i | 1.07358 | − | 1.85950i | ||||
\(960\) | −2.72578 | −0.0879740 | ||||||||
\(961\) | −21.4577 | − | 37.1658i | −0.692182 | − | 1.19890i | ||||
\(962\) | 60.1664 | 1.93984 | ||||||||
\(963\) | 10.6008 | 0.341605 | ||||||||
\(964\) | −3.82975 | + | 6.63333i | −0.123348 | + | 0.213645i | ||||
\(965\) | −4.19398 | −0.135009 | ||||||||
\(966\) | 10.8963 | + | 18.8729i | 0.350582 | + | 0.607226i | ||||
\(967\) | −2.80736 | + | 4.86249i | −0.0902786 | + | 0.156367i | −0.907628 | − | 0.419775i | \(-0.862109\pi\) |
0.817350 | + | 0.576142i | \(0.195442\pi\) | |||||||
\(968\) | 0.651845 | + | 1.12903i | 0.0209511 | + | 0.0362883i | ||||
\(969\) | −10.3094 | + | 17.8564i | −0.331186 | + | 0.573630i | ||||
\(970\) | 0.615264 | − | 1.06567i | 0.0197549 | − | 0.0342165i | ||||
\(971\) | −16.5875 | + | 28.7304i | −0.532318 | + | 0.922002i | 0.466970 | + | 0.884273i | \(0.345346\pi\) |
−0.999288 | + | 0.0377289i | \(0.987988\pi\) | |||||||
\(972\) | 0.420487 | − | 0.728305i | 0.0134871 | − | 0.0233604i | ||||
\(973\) | 17.8719 | − | 30.9551i | 0.572947 | − | 0.992373i | ||||
\(974\) | −8.54029 | + | 14.7922i | −0.273648 | + | 0.473973i | ||||
\(975\) | −12.4815 | − | 21.6187i | −0.399729 | − | 0.692351i | ||||
\(976\) | −8.93507 | + | 15.4760i | −0.286005 | + | 0.495375i | ||||
\(977\) | −6.88674 | − | 11.9282i | −0.220326 | − | 0.381616i | 0.734581 | − | 0.678521i | \(-0.237379\pi\) |
−0.954907 | + | 0.296905i | \(0.904046\pi\) | |||||||
\(978\) | 4.15573 | 0.132885 | ||||||||
\(979\) | 17.0591 | − | 29.5473i | 0.545212 | − | 0.944335i | ||||
\(980\) | 1.48080 | 0.0473024 | ||||||||
\(981\) | −5.22306 | −0.166759 | ||||||||
\(982\) | 4.34213 | + | 7.52080i | 0.138563 | + | 0.239998i | ||||
\(983\) | −22.5825 | −0.720269 | −0.360134 | − | 0.932900i | \(-0.617269\pi\) | ||||
−0.360134 | + | 0.932900i | \(0.617269\pi\) | |||||||
\(984\) | −3.33375 | + | 5.77422i | −0.106276 | + | 0.184075i | ||||
\(985\) | 1.31364 | − | 2.27530i | 0.0418561 | − | 0.0724969i | ||||
\(986\) | 31.7570 | + | 55.0047i | 1.01135 | + | 1.75171i | ||||
\(987\) | 11.5138 | + | 19.9424i | 0.366487 | + | 0.634774i | ||||
\(988\) | −7.66173 | − | 13.2705i | −0.243752 | − | 0.422191i | ||||
\(989\) | −20.0073 | − | 34.6537i | −0.636196 | − | 1.10192i | ||||
\(990\) | −1.20177 | −0.0381947 | ||||||||
\(991\) | 9.43357 | 0.299667 | 0.149834 | − | 0.988711i | \(-0.452126\pi\) | ||||
0.149834 | + | 0.988711i | \(0.452126\pi\) | |||||||
\(992\) | 18.8408 | + | 32.6332i | 0.598196 | + | 1.03611i | ||||
\(993\) | −5.48861 | + | 9.50655i | −0.174176 | + | 0.301681i | ||||
\(994\) | −10.3735 | + | 17.9675i | −0.329029 | + | 0.569894i | ||||
\(995\) | −3.33512 | − | 5.77660i | −0.105730 | − | 0.183131i | ||||
\(996\) | 1.76942 | 0.0560663 | ||||||||
\(997\) | −19.7167 | −0.624435 | −0.312217 | − | 0.950011i | \(-0.601072\pi\) | ||||
−0.312217 | + | 0.950011i | \(0.601072\pi\) | |||||||
\(998\) | −5.34672 | + | 9.26080i | −0.169248 | + | 0.293145i | ||||
\(999\) | −5.46501 | − | 9.46567i | −0.172905 | − | 0.299481i |
(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 | 201.2.e.c.37.4 | ✓ | 10 | |
3.2 | odd | 2 | 603.2.g.f.37.2 | 10 | |||
67.29 | even | 3 | inner | 201.2.e.c.163.4 | yes | 10 | |
201.29 | odd | 6 | 603.2.g.f.163.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.e.c.37.4 | ✓ | 10 | 1.1 | even | 1 | trivial | |
201.2.e.c.163.4 | yes | 10 | 67.29 | even | 3 | inner | |
603.2.g.f.37.2 | 10 | 3.2 | odd | 2 | |||
603.2.g.f.163.2 | 10 | 201.29 | odd | 6 |