Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(143,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.l (of order \(6\), degree \(2\), not 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 143.3 | ||
Root | \(0.320287 + 1.70218i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.143 |
Dual form | 378.2.l.a.341.7 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.0338034 | − | 0.0585493i | 0.0151174 | − | 0.0261840i | −0.858368 | − | 0.513035i | \(-0.828521\pi\) |
0.873485 | + | 0.486851i | \(0.161854\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.19767 | + | 2.35915i | 0.452677 | + | 0.891675i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0585493 | − | 0.0338034i | −0.0185149 | − | 0.0106896i | ||||
\(11\) | 3.40282 | − | 1.96462i | 1.02599 | − | 0.592356i | 0.110157 | − | 0.993914i | \(-0.464865\pi\) |
0.915833 | + | 0.401559i | \(0.131531\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.32589 | − | 1.92020i | 0.922435 | − | 0.532568i | 0.0380241 | − | 0.999277i | \(-0.487894\pi\) |
0.884411 | + | 0.466709i | \(0.154560\pi\) | |||||||
\(14\) | 2.35915 | − | 1.19767i | 0.630509 | − | 0.320091i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.775337 | + | 1.34292i | −0.188047 | + | 0.325707i | −0.944599 | − | 0.328227i | \(-0.893549\pi\) |
0.756552 | + | 0.653933i | \(0.226882\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.06375 | − | 2.92356i | 1.16170 | − | 0.670710i | 0.209991 | − | 0.977703i | \(-0.432656\pi\) |
0.951712 | + | 0.306994i | \(0.0993230\pi\) | |||||||
\(20\) | −0.0338034 | + | 0.0585493i | −0.00755868 | + | 0.0130920i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.96462 | − | 3.40282i | −0.418859 | − | 0.725484i | ||||
\(23\) | −4.78687 | − | 2.76370i | −0.998132 | − | 0.576272i | −0.0904369 | − | 0.995902i | \(-0.528826\pi\) |
−0.907695 | + | 0.419630i | \(0.862160\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.49771 | + | 4.32617i | 0.499543 | + | 0.865234i | ||||
\(26\) | −1.92020 | − | 3.32589i | −0.376583 | − | 0.652260i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.19767 | − | 2.35915i | −0.226338 | − | 0.445837i | ||||
\(29\) | −1.20840 | − | 0.697671i | −0.224394 | − | 0.129554i | 0.383589 | − | 0.923504i | \(-0.374688\pi\) |
−0.607983 | + | 0.793950i | \(0.708021\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.26595i | 0.227372i | 0.993517 | + | 0.113686i | \(0.0362657\pi\) | ||||
−0.993517 | + | 0.113686i | \(0.963734\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.34292 | + | 0.775337i | 0.230309 | + | 0.132969i | ||||
\(35\) | 0.178612 | + | 0.00962461i | 0.0301909 | + | 0.00162686i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.35534 | − | 7.54368i | −0.716014 | − | 1.24017i | −0.962567 | − | 0.271044i | \(-0.912631\pi\) |
0.246553 | − | 0.969129i | \(-0.420702\pi\) | |||||||
\(38\) | −2.92356 | − | 5.06375i | −0.474263 | − | 0.821448i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0585493 | + | 0.0338034i | 0.00925745 | + | 0.00534479i | ||||
\(41\) | 5.17415 | + | 8.96188i | 0.808066 | + | 1.39961i | 0.914202 | + | 0.405260i | \(0.132819\pi\) |
−0.106136 | + | 0.994352i | \(0.533848\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.735847 | − | 1.27452i | 0.112216 | − | 0.194363i | −0.804448 | − | 0.594023i | \(-0.797539\pi\) |
0.916663 | + | 0.399660i | \(0.130872\pi\) | |||||||
\(44\) | −3.40282 | + | 1.96462i | −0.512995 | + | 0.296178i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.76370 | + | 4.78687i | −0.407486 | + | 0.705786i | ||||
\(47\) | 3.54265 | 0.516748 | 0.258374 | − | 0.966045i | \(-0.416813\pi\) | ||||
0.258374 | + | 0.966045i | \(0.416813\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.13117 | + | 5.65097i | −0.590167 | + | 0.807281i | ||||
\(50\) | 4.32617 | − | 2.49771i | 0.611813 | − | 0.353230i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.32589 | + | 1.92020i | −0.461218 | + | 0.266284i | ||||
\(53\) | 6.28910 | + | 3.63101i | 0.863874 | + | 0.498758i | 0.865308 | − | 0.501241i | \(-0.167123\pi\) |
−0.00143340 | + | 0.999999i | \(0.500456\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.265644i | − | 0.0358194i | ||||||
\(56\) | −2.35915 | + | 1.19767i | −0.315255 | + | 0.160045i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.697671 | + | 1.20840i | −0.0916087 | + | 0.158671i | ||||
\(59\) | −9.40086 | −1.22389 | −0.611944 | − | 0.790901i | \(-0.709612\pi\) | ||||
−0.611944 | + | 0.790901i | \(0.709612\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 0.0815124i | − | 0.0104366i | −0.999986 | − | 0.00521830i | \(-0.998339\pi\) | ||
0.999986 | − | 0.00521830i | \(-0.00166104\pi\) | |||||||
\(62\) | 1.26595 | 0.160776 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 0.259638i | − | 0.0322041i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −15.3451 | −1.87471 | −0.937354 | − | 0.348379i | \(-0.886732\pi\) | ||||
−0.937354 | + | 0.348379i | \(0.886732\pi\) | |||||||
\(68\) | 0.775337 | − | 1.34292i | 0.0940234 | − | 0.162853i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.00962461 | − | 0.178612i | 0.00115036 | − | 0.0213482i | ||||
\(71\) | − | 4.30975i | − | 0.511474i | −0.966746 | − | 0.255737i | \(-0.917682\pi\) | ||
0.966746 | − | 0.255737i | \(-0.0823181\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.12768 | + | 3.53782i | 0.717191 | + | 0.414070i | 0.813718 | − | 0.581260i | \(-0.197440\pi\) |
−0.0965271 | + | 0.995330i | \(0.530773\pi\) | |||||||
\(74\) | −7.54368 | + | 4.35534i | −0.876935 | + | 0.506299i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.06375 | + | 2.92356i | −0.580852 | + | 0.335355i | ||||
\(77\) | 8.71030 | + | 5.67480i | 0.992630 | + | 0.646703i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.84639 | −0.770279 | −0.385140 | − | 0.922858i | \(-0.625847\pi\) | ||||
−0.385140 | + | 0.922858i | \(0.625847\pi\) | |||||||
\(80\) | 0.0338034 | − | 0.0585493i | 0.00377934 | − | 0.00654601i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 8.96188 | − | 5.17415i | 0.989675 | − | 0.571389i | ||||
\(83\) | −3.93194 | + | 6.81032i | −0.431587 | + | 0.747530i | −0.997010 | − | 0.0772707i | \(-0.975379\pi\) |
0.565423 | + | 0.824801i | \(0.308713\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0524181 | + | 0.0907908i | 0.00568554 | + | 0.00984765i | ||||
\(86\) | −1.27452 | − | 0.735847i | −0.137435 | − | 0.0793484i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.96462 | + | 3.40282i | 0.209429 | + | 0.362742i | ||||
\(89\) | −5.84745 | − | 10.1281i | −0.619828 | − | 1.07357i | −0.989517 | − | 0.144418i | \(-0.953869\pi\) |
0.369688 | − | 0.929156i | \(-0.379464\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.51336 | + | 5.54650i | 0.892443 | + | 0.581431i | ||||
\(92\) | 4.78687 | + | 2.76370i | 0.499066 | + | 0.288136i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 3.54265i | − | 0.365396i | ||||||
\(95\) | − | 0.395305i | − | 0.0405574i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.363295 | − | 0.209749i | −0.0368870 | − | 0.0212967i | 0.481443 | − | 0.876477i | \(-0.340113\pi\) |
−0.518330 | + | 0.855181i | \(0.673446\pi\) | |||||||
\(98\) | 5.65097 | + | 4.13117i | 0.570834 | + | 0.417311i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.49771 | − | 4.32617i | −0.249771 | − | 0.432617i | ||||
\(101\) | 8.69621 | + | 15.0623i | 0.865305 | + | 1.49875i | 0.866744 | + | 0.498753i | \(0.166209\pi\) |
−0.00143888 | + | 0.999999i | \(0.500458\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.867010 | + | 0.500568i | 0.0854290 | + | 0.0493225i | 0.542106 | − | 0.840310i | \(-0.317627\pi\) |
−0.456677 | + | 0.889633i | \(0.650960\pi\) | |||||||
\(104\) | 1.92020 | + | 3.32589i | 0.188291 | + | 0.326130i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.63101 | − | 6.28910i | 0.352675 | − | 0.610851i | ||||
\(107\) | −8.02352 | + | 4.63238i | −0.775663 | + | 0.447829i | −0.834891 | − | 0.550415i | \(-0.814469\pi\) |
0.0592279 | + | 0.998244i | \(0.481136\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.821501 | − | 1.42288i | 0.0786855 | − | 0.136287i | −0.823998 | − | 0.566593i | \(-0.808261\pi\) |
0.902683 | + | 0.430306i | \(0.141594\pi\) | |||||||
\(110\) | −0.265644 | −0.0253281 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.19767 | + | 2.35915i | 0.113169 | + | 0.222919i | ||||
\(113\) | −13.6537 | + | 7.88296i | −1.28443 | + | 0.741567i | −0.977655 | − | 0.210215i | \(-0.932584\pi\) |
−0.306776 | + | 0.951782i | \(0.599250\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.323625 | + | 0.186845i | −0.0301782 | + | 0.0174234i | ||||
\(116\) | 1.20840 | + | 0.697671i | 0.112197 | + | 0.0647771i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.40086i | 0.865419i | ||||||||
\(119\) | −4.09675 | − | 0.220756i | −0.375549 | − | 0.0202367i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.21947 | − | 3.84424i | 0.201770 | − | 0.349476i | ||||
\(122\) | −0.0815124 | −0.00737979 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 1.26595i | − | 0.113686i | ||||||
\(125\) | 0.675760 | 0.0604418 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.0776 | −1.69286 | −0.846430 | − | 0.532501i | \(-0.821252\pi\) | ||||
−0.846430 | + | 0.532501i | \(0.821252\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.259638 | −0.0227717 | ||||||||
\(131\) | 9.33404 | − | 16.1670i | 0.815519 | − | 1.41252i | −0.0934359 | − | 0.995625i | \(-0.529785\pi\) |
0.908955 | − | 0.416895i | \(-0.136882\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.9618 | + | 8.44468i | 1.12393 | + | 0.732246i | ||||
\(134\) | 15.3451i | 1.32562i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.34292 | − | 0.775337i | −0.115155 | − | 0.0664846i | ||||
\(137\) | −5.44329 | + | 3.14269i | −0.465052 | + | 0.268498i | −0.714166 | − | 0.699976i | \(-0.753194\pi\) |
0.249114 | + | 0.968474i | \(0.419861\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.49596 | − | 3.17309i | 0.466161 | − | 0.269138i | −0.248470 | − | 0.968640i | \(-0.579928\pi\) |
0.714631 | + | 0.699501i | \(0.246594\pi\) | |||||||
\(140\) | −0.178612 | − | 0.00962461i | −0.0150955 | − | 0.000813428i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.30975 | −0.361667 | ||||||||
\(143\) | 7.54494 | − | 13.0682i | 0.630939 | − | 1.09282i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0816962 | + | 0.0471673i | −0.00678450 | + | 0.00391703i | ||||
\(146\) | 3.53782 | − | 6.12768i | 0.292792 | − | 0.507130i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.35534 | + | 7.54368i | 0.358007 | + | 0.620087i | ||||
\(149\) | −7.21992 | − | 4.16842i | −0.591479 | − | 0.341491i | 0.174203 | − | 0.984710i | \(-0.444265\pi\) |
−0.765682 | + | 0.643219i | \(0.777598\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.07721 | − | 12.2581i | −0.575935 | − | 0.997548i | −0.995939 | − | 0.0900264i | \(-0.971305\pi\) |
0.420005 | − | 0.907522i | \(-0.362028\pi\) | |||||||
\(152\) | 2.92356 | + | 5.06375i | 0.237132 | + | 0.410724i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.67480 | − | 8.71030i | 0.457288 | − | 0.701896i | ||||
\(155\) | 0.0741205 | + | 0.0427935i | 0.00595350 | + | 0.00343726i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 16.4593i | − | 1.31360i | −0.754065 | − | 0.656799i | \(-0.771910\pi\) | ||
0.754065 | − | 0.656799i | \(-0.228090\pi\) | |||||||
\(158\) | 6.84639i | 0.544670i | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.0585493 | − | 0.0338034i | −0.00462873 | − | 0.00267240i | ||||
\(161\) | 0.786889 | − | 14.6030i | 0.0620155 | − | 1.15087i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.53345 | − | 7.85216i | −0.355087 | − | 0.615029i | 0.632046 | − | 0.774931i | \(-0.282215\pi\) |
−0.987133 | + | 0.159902i | \(0.948882\pi\) | |||||||
\(164\) | −5.17415 | − | 8.96188i | −0.404033 | − | 0.699806i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.81032 | + | 3.93194i | 0.528584 | + | 0.305178i | ||||
\(167\) | −7.64922 | − | 13.2488i | −0.591914 | − | 1.02523i | −0.993974 | − | 0.109612i | \(-0.965039\pi\) |
0.402060 | − | 0.915613i | \(-0.368294\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.874352 | − | 1.51442i | 0.0672579 | − | 0.116494i | ||||
\(170\) | 0.0907908 | − | 0.0524181i | 0.00696334 | − | 0.00402029i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.735847 | + | 1.27452i | −0.0561078 | + | 0.0971815i | ||||
\(173\) | 2.30125 | 0.174961 | 0.0874804 | − | 0.996166i | \(-0.472118\pi\) | ||||
0.0874804 | + | 0.996166i | \(0.472118\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.21464 | + | 11.0738i | −0.545375 | + | 0.837101i | ||||
\(176\) | 3.40282 | − | 1.96462i | 0.256497 | − | 0.148089i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.1281 | + | 5.84745i | −0.759132 | + | 0.438285i | ||||
\(179\) | 13.8077 | + | 7.97186i | 1.03203 | + | 0.595845i | 0.917567 | − | 0.397582i | \(-0.130151\pi\) |
0.114467 | + | 0.993427i | \(0.463484\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.4526i | 1.37157i | 0.727804 | + | 0.685785i | \(0.240541\pi\) | ||||
−0.727804 | + | 0.685785i | \(0.759459\pi\) | |||||||
\(182\) | 5.54650 | − | 8.51336i | 0.411134 | − | 0.631052i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.76370 | − | 4.78687i | 0.203743 | − | 0.352893i | ||||
\(185\) | −0.588903 | −0.0432970 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.09297i | 0.445562i | ||||||||
\(188\) | −3.54265 | −0.258374 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.395305 | −0.0286784 | ||||||||
\(191\) | − | 23.3437i | − | 1.68909i | −0.535484 | − | 0.844546i | \(-0.679871\pi\) | ||
0.535484 | − | 0.844546i | \(-0.320129\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.2878 | 1.53233 | 0.766164 | − | 0.642646i | \(-0.222163\pi\) | ||||
0.766164 | + | 0.642646i | \(0.222163\pi\) | |||||||
\(194\) | −0.209749 | + | 0.363295i | −0.0150591 | + | 0.0260831i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.13117 | − | 5.65097i | 0.295084 | − | 0.403641i | ||||
\(197\) | − | 12.8467i | − | 0.915288i | −0.889136 | − | 0.457644i | \(-0.848693\pi\) | ||
0.889136 | − | 0.457644i | \(-0.151307\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.24154 | − | 1.87150i | −0.229787 | − | 0.132667i | 0.380687 | − | 0.924704i | \(-0.375688\pi\) |
−0.610474 | + | 0.792037i | \(0.709021\pi\) | |||||||
\(200\) | −4.32617 | + | 2.49771i | −0.305906 | + | 0.176615i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 15.0623 | − | 8.69621i | 1.05978 | − | 0.611863i | ||||
\(203\) | 0.198643 | − | 3.68638i | 0.0139420 | − | 0.258733i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.699616 | 0.0488633 | ||||||||
\(206\) | 0.500568 | − | 0.867010i | 0.0348762 | − | 0.0604074i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.32589 | − | 1.92020i | 0.230609 | − | 0.133142i | ||||
\(209\) | 11.4874 | − | 19.8967i | 0.794597 | − | 1.37628i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.69581 | + | 8.13339i | 0.323273 | + | 0.559925i | 0.981161 | − | 0.193190i | \(-0.0618834\pi\) |
−0.657888 | + | 0.753116i | \(0.728550\pi\) | |||||||
\(212\) | −6.28910 | − | 3.63101i | −0.431937 | − | 0.249379i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.63238 | + | 8.02352i | 0.316663 | + | 0.548477i | ||||
\(215\) | −0.0497483 | − | 0.0861666i | −0.00339281 | − | 0.00587651i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.98657 | + | 1.51619i | −0.202741 | + | 0.102926i | ||||
\(218\) | −1.42288 | − | 0.821501i | −0.0963697 | − | 0.0556391i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.265644i | 0.0179097i | ||||||||
\(221\) | 5.95522i | 0.400591i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.7695 | − | 10.2592i | −1.18993 | − | 0.687008i | −0.231642 | − | 0.972801i | \(-0.574410\pi\) |
−0.958291 | + | 0.285793i | \(0.907743\pi\) | |||||||
\(224\) | 2.35915 | − | 1.19767i | 0.157627 | − | 0.0800227i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.88296 | + | 13.6537i | 0.524367 | + | 0.908230i | ||||
\(227\) | 9.38828 | + | 16.2610i | 0.623122 | + | 1.07928i | 0.988901 | + | 0.148577i | \(0.0474694\pi\) |
−0.365779 | + | 0.930702i | \(0.619197\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.31740 | − | 2.49265i | −0.285302 | − | 0.164719i | 0.350519 | − | 0.936556i | \(-0.386005\pi\) |
−0.635821 | + | 0.771836i | \(0.719338\pi\) | |||||||
\(230\) | 0.186845 | + | 0.323625i | 0.0123202 | + | 0.0213392i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.697671 | − | 1.20840i | 0.0458043 | − | 0.0793354i | ||||
\(233\) | −12.7747 | + | 7.37548i | −0.836899 | + | 0.483184i | −0.856209 | − | 0.516630i | \(-0.827186\pi\) |
0.0193101 | + | 0.999814i | \(0.493853\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.119754 | − | 0.207419i | 0.00781186 | − | 0.0135305i | ||||
\(236\) | 9.40086 | 0.611944 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.220756 | + | 4.09675i | −0.0143095 | + | 0.265553i | ||||
\(239\) | 0.155388 | − | 0.0897132i | 0.0100512 | − | 0.00580307i | −0.494966 | − | 0.868912i | \(-0.664819\pi\) |
0.505017 | + | 0.863109i | \(0.331486\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.31183 | − | 3.06679i | 0.342165 | − | 0.197549i | −0.319064 | − | 0.947733i | \(-0.603368\pi\) |
0.661229 | + | 0.750184i | \(0.270035\pi\) | |||||||
\(242\) | −3.84424 | − | 2.21947i | −0.247117 | − | 0.142673i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.0815124i | 0.00521830i | ||||||||
\(245\) | 0.191212 | + | 0.432899i | 0.0122161 | + | 0.0276569i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.2276 | − | 19.4468i | 0.714397 | − | 1.23737i | ||||
\(248\) | −1.26595 | −0.0803880 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 0.675760i | − | 0.0427388i | ||||||
\(251\) | 1.11296 | 0.0702495 | 0.0351247 | − | 0.999383i | \(-0.488817\pi\) | ||||
0.0351247 | + | 0.999383i | \(0.488817\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −21.7185 | −1.36543 | ||||||||
\(254\) | 19.0776i | 1.19703i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −2.37366 | + | 4.11130i | −0.148065 | + | 0.256456i | −0.930512 | − | 0.366261i | \(-0.880638\pi\) |
0.782447 | + | 0.622717i | \(0.213971\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.5804 | − | 19.3098i | 0.781708 | − | 1.19985i | ||||
\(260\) | 0.259638i | 0.0161020i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.1670 | − | 9.33404i | −0.998803 | − | 0.576659i | ||||
\(263\) | −3.65146 | + | 2.10817i | −0.225159 | + | 0.129995i | −0.608337 | − | 0.793679i | \(-0.708163\pi\) |
0.383178 | + | 0.923675i | \(0.374830\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.425186 | − | 0.245482i | 0.0261190 | − | 0.0150798i | ||||
\(266\) | 8.44468 | − | 12.9618i | 0.517776 | − | 0.794739i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 15.3451 | 0.937354 | ||||||||
\(269\) | −7.97265 | + | 13.8090i | −0.486101 | + | 0.841952i | −0.999872 | − | 0.0159753i | \(-0.994915\pi\) |
0.513771 | + | 0.857927i | \(0.328248\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.1913 | − | 8.19335i | 0.862060 | − | 0.497710i | −0.00264173 | − | 0.999997i | \(-0.500841\pi\) |
0.864702 | + | 0.502286i | \(0.167508\pi\) | |||||||
\(272\) | −0.775337 | + | 1.34292i | −0.0470117 | + | 0.0814267i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.14269 | + | 5.44329i | 0.189857 | + | 0.328841i | ||||
\(275\) | 16.9986 | + | 9.81413i | 1.02505 | + | 0.591814i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.928004 | + | 1.60735i | 0.0557583 | + | 0.0965763i | 0.892557 | − | 0.450934i | \(-0.148909\pi\) |
−0.836799 | + | 0.547510i | \(0.815576\pi\) | |||||||
\(278\) | −3.17309 | − | 5.49596i | −0.190309 | − | 0.329626i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.00962461 | + | 0.178612i | −0.000575180 | + | 0.0106741i | ||||
\(281\) | 0.628441 | + | 0.362830i | 0.0374896 | + | 0.0216446i | 0.518628 | − | 0.855000i | \(-0.326443\pi\) |
−0.481138 | + | 0.876645i | \(0.659776\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.6276i | 0.691192i | 0.938383 | + | 0.345596i | \(0.112323\pi\) | ||||
−0.938383 | + | 0.345596i | \(0.887677\pi\) | |||||||
\(284\) | 4.30975i | 0.255737i | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −13.0682 | − | 7.54494i | −0.772740 | − | 0.446142i | ||||
\(287\) | −14.9455 | + | 22.9400i | −0.882205 | + | 1.35410i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.29770 | + | 12.6400i | 0.429277 | + | 0.743529i | ||||
\(290\) | 0.0471673 | + | 0.0816962i | 0.00276976 | + | 0.00479737i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.12768 | − | 3.53782i | −0.358595 | − | 0.207035i | ||||
\(293\) | 6.45034 | + | 11.1723i | 0.376833 | + | 0.652694i | 0.990600 | − | 0.136794i | \(-0.0436797\pi\) |
−0.613766 | + | 0.789488i | \(0.710346\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.317781 | + | 0.550413i | −0.0185019 | + | 0.0320463i | ||||
\(296\) | 7.54368 | − | 4.35534i | 0.438467 | − | 0.253149i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.16842 | + | 7.21992i | −0.241470 | + | 0.418239i | ||||
\(299\) | −21.2275 | −1.22762 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.88809 | + | 0.209512i | 0.224106 | + | 0.0120761i | ||||
\(302\) | −12.2581 | + | 7.07721i | −0.705373 | + | 0.407247i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.06375 | − | 2.92356i | 0.290426 | − | 0.167677i | ||||
\(305\) | −0.00477249 | − | 0.00275540i | −0.000273272 | − | 0.000157774i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.5111i | 1.17063i | 0.810806 | + | 0.585315i | \(0.199029\pi\) | ||||
−0.810806 | + | 0.585315i | \(0.800971\pi\) | |||||||
\(308\) | −8.71030 | − | 5.67480i | −0.496315 | − | 0.323352i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0427935 | − | 0.0741205i | 0.00243051 | − | 0.00420976i | ||||
\(311\) | 15.0288 | 0.852206 | 0.426103 | − | 0.904675i | \(-0.359886\pi\) | ||||
0.426103 | + | 0.904675i | \(0.359886\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.11536i | 0.0630438i | 0.999503 | + | 0.0315219i | \(0.0100354\pi\) | ||||
−0.999503 | + | 0.0315219i | \(0.989965\pi\) | |||||||
\(314\) | −16.4593 | −0.928855 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.84639 | 0.385140 | ||||||||
\(317\) | 1.23344i | 0.0692768i | 0.999400 | + | 0.0346384i | \(0.0110280\pi\) | ||||
−0.999400 | + | 0.0346384i | \(0.988972\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.48263 | −0.306969 | ||||||||
\(320\) | −0.0338034 | + | 0.0585493i | −0.00188967 | + | 0.00327300i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.6030 | − | 0.786889i | −0.813791 | − | 0.0438516i | ||||
\(323\) | 9.06696i | 0.504499i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 16.6142 | + | 9.59223i | 0.921592 | + | 0.532081i | ||||
\(326\) | −7.85216 | + | 4.53345i | −0.434891 | + | 0.251085i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.96188 | + | 5.17415i | −0.494837 | + | 0.285694i | ||||
\(329\) | 4.24292 | + | 8.35763i | 0.233920 | + | 0.460771i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.02462 | −0.276178 | −0.138089 | − | 0.990420i | \(-0.544096\pi\) | ||||
−0.138089 | + | 0.990420i | \(0.544096\pi\) | |||||||
\(332\) | 3.93194 | − | 6.81032i | 0.215793 | − | 0.373765i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.2488 | + | 7.64922i | −0.724944 | + | 0.418546i | ||||
\(335\) | −0.518719 | + | 0.898447i | −0.0283406 | + | 0.0490874i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.6356 | + | 18.4213i | 0.579356 | + | 1.00347i | 0.995553 | + | 0.0941995i | \(0.0300292\pi\) |
−0.416198 | + | 0.909274i | \(0.636638\pi\) | |||||||
\(338\) | −1.51442 | − | 0.874352i | −0.0823737 | − | 0.0475585i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0524181 | − | 0.0907908i | −0.00284277 | − | 0.00492382i | ||||
\(341\) | 2.48712 | + | 4.30781i | 0.134685 | + | 0.233281i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.2793 | − | 2.97805i | −0.986987 | − | 0.160799i | ||||
\(344\) | 1.27452 | + | 0.735847i | 0.0687177 | + | 0.0396742i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 2.30125i | − | 0.123716i | ||||||
\(347\) | − | 21.5735i | − | 1.15813i | −0.815282 | − | 0.579063i | \(-0.803418\pi\) | ||
0.815282 | − | 0.579063i | \(-0.196582\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −24.1105 | − | 13.9202i | −1.29061 | − | 0.745132i | −0.311845 | − | 0.950133i | \(-0.600947\pi\) |
−0.978762 | + | 0.205001i | \(0.934280\pi\) | |||||||
\(350\) | 11.0738 | + | 7.21464i | 0.591920 | + | 0.385639i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.96462 | − | 3.40282i | −0.104715 | − | 0.181371i | ||||
\(353\) | −2.85124 | − | 4.93850i | −0.151756 | − | 0.262850i | 0.780117 | − | 0.625634i | \(-0.215160\pi\) |
−0.931873 | + | 0.362784i | \(0.881826\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.252333 | − | 0.145685i | −0.0133924 | − | 0.00773213i | ||||
\(356\) | 5.84745 | + | 10.1281i | 0.309914 | + | 0.536787i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.97186 | − | 13.8077i | 0.421326 | − | 0.729758i | ||||
\(359\) | 18.5815 | − | 10.7280i | 0.980693 | − | 0.566203i | 0.0782137 | − | 0.996937i | \(-0.475078\pi\) |
0.902479 | + | 0.430733i | \(0.141745\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.59435 | − | 13.1538i | 0.399703 | − | 0.692305i | ||||
\(362\) | 18.4526 | 0.969846 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.51336 | − | 5.54650i | −0.446221 | − | 0.290715i | ||||
\(365\) | 0.414273 | − | 0.239181i | 0.0216841 | − | 0.0125193i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.97484 | + | 4.60428i | −0.416283 | + | 0.240341i | −0.693486 | − | 0.720470i | \(-0.743926\pi\) |
0.277203 | + | 0.960811i | \(0.410593\pi\) | |||||||
\(368\) | −4.78687 | − | 2.76370i | −0.249533 | − | 0.144068i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.588903i | 0.0306156i | ||||||||
\(371\) | −1.03383 | + | 19.1857i | −0.0536739 | + | 0.996071i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.1000 | + | 24.4219i | −0.730071 | + | 1.26452i | 0.226782 | + | 0.973946i | \(0.427180\pi\) |
−0.956852 | + | 0.290574i | \(0.906154\pi\) | |||||||
\(374\) | 6.09297 | 0.315060 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.54265i | 0.182698i | ||||||||
\(377\) | −5.35867 | −0.275986 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.72569 | −0.242742 | −0.121371 | − | 0.992607i | \(-0.538729\pi\) | ||||
−0.121371 | + | 0.992607i | \(0.538729\pi\) | |||||||
\(380\) | 0.395305i | 0.0202787i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −23.3437 | −1.19437 | ||||||||
\(383\) | −17.1174 | + | 29.6483i | −0.874660 | + | 1.51496i | −0.0175357 | + | 0.999846i | \(0.505582\pi\) |
−0.857124 | + | 0.515110i | \(0.827751\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.626693 | − | 0.318154i | 0.0319392 | − | 0.0162146i | ||||
\(386\) | − | 21.2878i | − | 1.08352i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.363295 | + | 0.209749i | 0.0184435 | + | 0.0106484i | ||||
\(389\) | 16.0167 | − | 9.24726i | 0.812080 | − | 0.468855i | −0.0355974 | − | 0.999366i | \(-0.511333\pi\) |
0.847678 | + | 0.530511i | \(0.178000\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.42288 | − | 4.28560i | 0.375391 | − | 0.216732i | ||||
\(392\) | −5.65097 | − | 4.13117i | −0.285417 | − | 0.208656i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −12.8467 | −0.647206 | ||||||||
\(395\) | −0.231432 | + | 0.400851i | −0.0116446 | + | 0.0201690i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.76126 | + | 1.01687i | −0.0883952 | + | 0.0510350i | −0.543546 | − | 0.839379i | \(-0.682919\pi\) |
0.455151 | + | 0.890414i | \(0.349585\pi\) | |||||||
\(398\) | −1.87150 | + | 3.24154i | −0.0938100 | + | 0.162484i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.49771 | + | 4.32617i | 0.124886 | + | 0.216308i | ||||
\(401\) | 27.2137 | + | 15.7118i | 1.35899 | + | 0.784611i | 0.989487 | − | 0.144620i | \(-0.0461961\pi\) |
0.369499 | + | 0.929231i | \(0.379529\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.43088 | + | 4.21041i | 0.121091 | + | 0.209736i | ||||
\(404\) | −8.69621 | − | 15.0623i | −0.432653 | − | 0.749376i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.68638 | − | 0.198643i | −0.182952 | − | 0.00985847i | ||||
\(407\) | −29.6409 | − | 17.1132i | −1.46925 | − | 0.848270i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 0.550583i | − | 0.0272246i | −0.999907 | − | 0.0136123i | \(-0.995667\pi\) | ||
0.999907 | − | 0.0136123i | \(-0.00433306\pi\) | |||||||
\(410\) | − | 0.699616i | − | 0.0345516i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.867010 | − | 0.500568i | −0.0427145 | − | 0.0246612i | ||||
\(413\) | −11.2591 | − | 22.1780i | −0.554026 | − | 1.09131i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.265826 | + | 0.460425i | 0.0130489 | + | 0.0226014i | ||||
\(416\) | −1.92020 | − | 3.32589i | −0.0941457 | − | 0.163065i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −19.8967 | − | 11.4874i | −0.973179 | − | 0.561865i | ||||
\(419\) | −11.5649 | − | 20.0310i | −0.564984 | − | 0.978580i | −0.997051 | − | 0.0767392i | \(-0.975549\pi\) |
0.432068 | − | 0.901841i | \(-0.357784\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.49773 | − | 9.52235i | 0.267943 | − | 0.464091i | −0.700387 | − | 0.713763i | \(-0.746989\pi\) |
0.968330 | + | 0.249672i | \(0.0803228\pi\) | |||||||
\(422\) | 8.13339 | − | 4.69581i | 0.395927 | − | 0.228589i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.63101 | + | 6.28910i | −0.176338 | + | 0.305426i | ||||
\(425\) | −7.74628 | −0.375750 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.192300 | − | 0.0976251i | 0.00930605 | − | 0.00472441i | ||||
\(428\) | 8.02352 | − | 4.63238i | 0.387832 | − | 0.223915i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0861666 | + | 0.0497483i | −0.00415532 | + | 0.00239908i | ||||
\(431\) | 7.19720 | + | 4.15530i | 0.346677 | + | 0.200154i | 0.663221 | − | 0.748424i | \(-0.269189\pi\) |
−0.316544 | + | 0.948578i | \(0.602522\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 26.1051i | − | 1.25453i | −0.778806 | − | 0.627265i | \(-0.784174\pi\) | ||
0.778806 | − | 0.627265i | \(-0.215826\pi\) | |||||||
\(434\) | 1.51619 | + | 2.98657i | 0.0727796 | + | 0.143360i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.821501 | + | 1.42288i | −0.0393428 | + | 0.0681437i | ||||
\(437\) | −32.3193 | −1.54604 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 40.8308i | 1.94875i | 0.224940 | + | 0.974373i | \(0.427782\pi\) | ||||
−0.224940 | + | 0.974373i | \(0.572218\pi\) | |||||||
\(440\) | 0.265644 | 0.0126641 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.95522 | 0.283261 | ||||||||
\(443\) | 18.2565i | 0.867391i | 0.901059 | + | 0.433696i | \(0.142791\pi\) | ||||
−0.901059 | + | 0.433696i | \(0.857209\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.790656 | −0.0374807 | ||||||||
\(446\) | −10.2592 | + | 17.7695i | −0.485788 | + | 0.841410i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.19767 | − | 2.35915i | −0.0565846 | − | 0.111459i | ||||
\(449\) | 26.0881i | 1.23117i | 0.788070 | + | 0.615586i | \(0.211081\pi\) | ||||
−0.788070 | + | 0.615586i | \(0.788919\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 35.2134 | + | 20.3305i | 1.65813 | + | 0.957325i | ||||
\(452\) | 13.6537 | − | 7.88296i | 0.642216 | − | 0.370783i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.2610 | − | 9.38828i | 0.763166 | − | 0.440614i | ||||
\(455\) | 0.612524 | − | 0.310960i | 0.0287156 | − | 0.0145781i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.39973 | −0.299367 | −0.149683 | − | 0.988734i | \(-0.547825\pi\) | ||||
−0.149683 | + | 0.988734i | \(0.547825\pi\) | |||||||
\(458\) | −2.49265 | + | 4.31740i | −0.116474 | + | 0.201739i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.323625 | − | 0.186845i | 0.0150891 | − | 0.00871170i | ||||
\(461\) | −1.04099 | + | 1.80304i | −0.0484836 | + | 0.0839761i | −0.889249 | − | 0.457424i | \(-0.848772\pi\) |
0.840765 | + | 0.541400i | \(0.182106\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.959084 | − | 1.66118i | −0.0445724 | − | 0.0772017i | 0.842879 | − | 0.538104i | \(-0.180859\pi\) |
−0.887451 | + | 0.460902i | \(0.847526\pi\) | |||||||
\(464\) | −1.20840 | − | 0.697671i | −0.0560986 | − | 0.0323885i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.37548 | + | 12.7747i | 0.341663 | + | 0.591777i | ||||
\(467\) | 17.1178 | + | 29.6488i | 0.792116 | + | 1.37199i | 0.924654 | + | 0.380807i | \(0.124354\pi\) |
−0.132539 | + | 0.991178i | \(0.542313\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.3784 | − | 36.2015i | −0.848637 | − | 1.67163i | ||||
\(470\) | −0.207419 | − | 0.119754i | −0.00956754 | − | 0.00552382i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 9.40086i | − | 0.432710i | ||||||
\(473\) | − | 5.78264i | − | 0.265886i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 25.2956 | + | 14.6044i | 1.16064 | + | 0.670096i | ||||
\(476\) | 4.09675 | + | 0.220756i | 0.187774 | + | 0.0101183i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.0897132 | − | 0.155388i | −0.00410339 | − | 0.00710728i | ||||
\(479\) | −5.29123 | − | 9.16468i | −0.241763 | − | 0.418745i | 0.719454 | − | 0.694540i | \(-0.244392\pi\) |
−0.961216 | + | 0.275795i | \(0.911059\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −28.9708 | − | 16.7263i | −1.32095 | − | 0.762653i | ||||
\(482\) | −3.06679 | − | 5.31183i | −0.139688 | − | 0.241947i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.21947 | + | 3.84424i | −0.100885 | + | 0.174738i | ||||
\(485\) | −0.0245613 | + | 0.0141804i | −0.00111527 | + | 0.000643901i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.95804 | − | 10.3196i | 0.269985 | − | 0.467627i | −0.698873 | − | 0.715246i | \(-0.746315\pi\) |
0.968858 | + | 0.247619i | \(0.0796481\pi\) | |||||||
\(488\) | 0.0815124 | 0.00368990 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.432899 | − | 0.191212i | 0.0195564 | − | 0.00863809i | ||||
\(491\) | 14.9826 | − | 8.65023i | 0.676157 | − | 0.390379i | −0.122248 | − | 0.992500i | \(-0.539010\pi\) |
0.798406 | + | 0.602120i | \(0.205677\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.87384 | − | 1.08186i | 0.0843933 | − | 0.0487245i | ||||
\(494\) | −19.4468 | − | 11.2276i | −0.874954 | − | 0.505155i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.26595i | 0.0568429i | ||||||||
\(497\) | 10.1674 | − | 5.16167i | 0.456068 | − | 0.231532i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.41484 | − | 11.1108i | 0.287168 | − | 0.497389i | −0.685965 | − | 0.727635i | \(-0.740620\pi\) |
0.973133 | + | 0.230246i | \(0.0739530\pi\) | |||||||
\(500\) | −0.675760 | −0.0302209 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 1.11296i | − | 0.0496739i | ||||||
\(503\) | 10.9868 | 0.489878 | 0.244939 | − | 0.969539i | \(-0.421232\pi\) | ||||
0.244939 | + | 0.969539i | \(0.421232\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.17585 | 0.0523245 | ||||||||
\(506\) | 21.7185i | 0.965505i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 19.0776 | 0.846430 | ||||||||
\(509\) | 14.4838 | − | 25.0868i | 0.641985 | − | 1.11195i | −0.343004 | − | 0.939334i | \(-0.611444\pi\) |
0.984989 | − | 0.172617i | \(-0.0552223\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.00730 | + | 18.6933i | −0.0445602 | + | 0.826941i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.11130 | + | 2.37366i | 0.181342 | + | 0.104698i | ||||
\(515\) | 0.0586158 | − | 0.0338419i | 0.00258292 | − | 0.00149125i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.0550 | − | 6.95996i | 0.530178 | − | 0.306099i | ||||
\(518\) | −19.3098 | − | 12.5804i | −0.848422 | − | 0.552751i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.259638 | 0.0113859 | ||||||||
\(521\) | 5.72133 | − | 9.90963i | 0.250656 | − | 0.434149i | −0.713051 | − | 0.701113i | \(-0.752687\pi\) |
0.963707 | + | 0.266964i | \(0.0860204\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.1536 | − | 8.17161i | 0.618896 | − | 0.357320i | −0.157543 | − | 0.987512i | \(-0.550357\pi\) |
0.776439 | + | 0.630192i | \(0.217024\pi\) | |||||||
\(524\) | −9.33404 | + | 16.1670i | −0.407759 | + | 0.706260i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.10817 | + | 3.65146i | 0.0919206 | + | 0.159211i | ||||
\(527\) | −1.70008 | − | 0.981539i | −0.0740565 | − | 0.0427565i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.77610 | + | 6.54039i | 0.164178 | + | 0.284365i | ||||
\(530\) | −0.245482 | − | 0.425186i | −0.0106630 | − | 0.0184689i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12.9618 | − | 8.44468i | −0.561965 | − | 0.366123i | ||||
\(533\) | 34.4173 | + | 19.8708i | 1.49078 | + | 0.860700i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.626362i | 0.0270800i | ||||||||
\(536\) | − | 15.3451i | − | 0.662809i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 13.8090 | + | 7.97265i | 0.595350 | + | 0.343725i | ||||
\(539\) | −2.95563 | + | 27.3454i | −0.127308 | + | 1.17785i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.9752 | + | 27.6699i | 0.686830 | + | 1.18962i | 0.972858 | + | 0.231403i | \(0.0743314\pi\) |
−0.286029 | + | 0.958221i | \(0.592335\pi\) | |||||||
\(542\) | −8.19335 | − | 14.1913i | −0.351934 | − | 0.609568i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.34292 | + | 0.775337i | 0.0575774 | + | 0.0332423i | ||||
\(545\) | −0.0555391 | − | 0.0961966i | −0.00237903 | − | 0.00412061i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.4351 | − | 26.7344i | 0.659958 | − | 1.14308i | −0.320668 | − | 0.947192i | \(-0.603908\pi\) |
0.980626 | − | 0.195889i | \(-0.0627591\pi\) | |||||||
\(548\) | 5.44329 | − | 3.14269i | 0.232526 | − | 0.134249i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.81413 | − | 16.9986i | 0.418476 | − | 0.724821i | ||||
\(551\) | −8.15871 | −0.347573 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.19972 | − | 16.1517i | −0.348688 | − | 0.686839i | ||||
\(554\) | 1.60735 | − | 0.928004i | 0.0682897 | − | 0.0394271i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.49596 | + | 3.17309i | −0.233081 | + | 0.134569i | ||||
\(557\) | −12.2398 | − | 7.06667i | −0.518618 | − | 0.299424i | 0.217751 | − | 0.976004i | \(-0.430128\pi\) |
−0.736369 | + | 0.676580i | \(0.763461\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 5.65190i | − | 0.239050i | ||||||
\(560\) | 0.178612 | + | 0.00962461i | 0.00754773 | + | 0.000406714i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.362830 | − | 0.628441i | 0.0153051 | − | 0.0265092i | ||||
\(563\) | 5.11436 | 0.215544 | 0.107772 | − | 0.994176i | \(-0.465628\pi\) | ||||
0.107772 | + | 0.994176i | \(0.465628\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.06588i | 0.0448421i | ||||||||
\(566\) | 11.6276 | 0.488746 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.30975 | 0.180833 | ||||||||
\(569\) | − | 37.2203i | − | 1.56035i | −0.625559 | − | 0.780177i | \(-0.715129\pi\) | ||
0.625559 | − | 0.780177i | \(-0.284871\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.27738 | 0.220851 | 0.110426 | − | 0.993884i | \(-0.464779\pi\) | ||||
0.110426 | + | 0.993884i | \(0.464779\pi\) | |||||||
\(572\) | −7.54494 | + | 13.0682i | −0.315470 | + | 0.546410i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.9400 | + | 14.9455i | 0.957496 | + | 0.623813i | ||||
\(575\) | − | 27.6118i | − | 1.15149i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.72172 | − | 5.61284i | −0.404721 | − | 0.233666i | 0.283798 | − | 0.958884i | \(-0.408405\pi\) |
−0.688519 | + | 0.725218i | \(0.741739\pi\) | |||||||
\(578\) | 12.6400 | − | 7.29770i | 0.525754 | − | 0.303544i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0816962 | − | 0.0471673i | 0.00339225 | − | 0.00195852i | ||||
\(581\) | −20.7757 | − | 1.11951i | −0.861923 | − | 0.0464452i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 28.5343 | 1.18177 | ||||||||
\(584\) | −3.53782 | + | 6.12768i | −0.146396 | + | 0.253565i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.1723 | − | 6.45034i | 0.461524 | − | 0.266461i | ||||
\(587\) | −12.4037 | + | 21.4838i | −0.511955 | + | 0.886732i | 0.487949 | + | 0.872872i | \(0.337745\pi\) |
−0.999904 | + | 0.0138602i | \(0.995588\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.70108 | + | 6.41046i | 0.152500 | + | 0.264138i | ||||
\(590\) | 0.550413 | + | 0.317781i | 0.0226602 | + | 0.0130828i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.35534 | − | 7.54368i | −0.179004 | − | 0.310043i | ||||
\(593\) | 6.47382 | + | 11.2130i | 0.265848 | + | 0.460462i | 0.967785 | − | 0.251777i | \(-0.0810148\pi\) |
−0.701938 | + | 0.712238i | \(0.747681\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.151410 | + | 0.232400i | −0.00620718 | + | 0.00952746i | ||||
\(596\) | 7.21992 | + | 4.16842i | 0.295739 | + | 0.170745i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 21.2275i | 0.868056i | ||||||||
\(599\) | − | 24.1574i | − | 0.987043i | −0.869734 | − | 0.493522i | \(-0.835709\pi\) | ||
0.869734 | − | 0.493522i | \(-0.164291\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.3377 | − | 8.85525i | −0.625640 | − | 0.361213i | 0.153422 | − | 0.988161i | \(-0.450971\pi\) |
−0.779061 | + | 0.626948i | \(0.784304\pi\) | |||||||
\(602\) | 0.209512 | − | 3.88809i | 0.00853908 | − | 0.158467i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.07721 | + | 12.2581i | 0.287967 | + | 0.498774i | ||||
\(605\) | −0.150052 | − | 0.259897i | −0.00610046 | − | 0.0105663i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.27200 | − | 3.04379i | −0.213984 | − | 0.123544i | 0.389178 | − | 0.921163i | \(-0.372759\pi\) |
−0.603162 | + | 0.797619i | \(0.706093\pi\) | |||||||
\(608\) | −2.92356 | − | 5.06375i | −0.118566 | − | 0.205362i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.00275540 | + | 0.00477249i | −0.000111563 | + | 0.000193233i | ||||
\(611\) | 11.7824 | − | 6.80260i | 0.476667 | − | 0.275204i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.5026 | − | 28.5834i | 0.666535 | − | 1.15447i | −0.312332 | − | 0.949973i | \(-0.601110\pi\) |
0.978867 | − | 0.204499i | \(-0.0655566\pi\) | |||||||
\(614\) | 20.5111 | 0.827760 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.67480 | + | 8.71030i | −0.228644 | + | 0.350948i | ||||
\(617\) | 8.36942 | − | 4.83209i | 0.336940 | − | 0.194533i | −0.321978 | − | 0.946747i | \(-0.604348\pi\) |
0.658918 | + | 0.752215i | \(0.271014\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.6756 | − | 9.05034i | 0.630057 | − | 0.363764i | −0.150717 | − | 0.988577i | \(-0.548158\pi\) |
0.780774 | + | 0.624813i | \(0.214825\pi\) | |||||||
\(620\) | −0.0741205 | − | 0.0427935i | −0.00297675 | − | 0.00171863i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 15.0288i | − | 0.602601i | ||||||
\(623\) | 16.8903 | − | 25.9251i | 0.676697 | − | 1.03867i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.4657 | + | 21.5913i | −0.498629 | + | 0.863651i | ||||
\(626\) | 1.11536 | 0.0445787 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 16.4593i | 0.656799i | ||||||||
\(629\) | 13.5074 | 0.538577 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.07079 | −0.201865 | −0.100932 | − | 0.994893i | \(-0.532183\pi\) | ||||
−0.100932 | + | 0.994893i | \(0.532183\pi\) | |||||||
\(632\) | − | 6.84639i | − | 0.272335i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.23344 | 0.0489861 | ||||||||
\(635\) | −0.644887 | + | 1.11698i | −0.0255916 | + | 0.0443259i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.88881 | + | 26.7272i | −0.114459 | + | 1.05897i | ||||
\(638\) | 5.48263i | 0.217060i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.0585493 | + | 0.0338034i | 0.00231436 | + | 0.00133620i | ||||
\(641\) | 7.62707 | − | 4.40349i | 0.301251 | − | 0.173927i | −0.341754 | − | 0.939790i | \(-0.611021\pi\) |
0.643005 | + | 0.765862i | \(0.277688\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.52364 | + | 1.45702i | −0.0995227 | + | 0.0574594i | −0.548935 | − | 0.835865i | \(-0.684967\pi\) |
0.449413 | + | 0.893324i | \(0.351633\pi\) | |||||||
\(644\) | −0.786889 | + | 14.6030i | −0.0310078 | + | 0.575437i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 9.06696 | 0.356735 | ||||||||
\(647\) | 5.15173 | − | 8.92306i | 0.202535 | − | 0.350802i | −0.746809 | − | 0.665038i | \(-0.768415\pi\) |
0.949345 | + | 0.314237i | \(0.101749\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −31.9895 | + | 18.4691i | −1.25570 | + | 0.724976i | ||||
\(650\) | 9.59223 | − | 16.6142i | 0.376238 | − | 0.651664i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.53345 | + | 7.85216i | 0.177544 | + | 0.307515i | ||||
\(653\) | −15.3666 | − | 8.87194i | −0.601343 | − | 0.347186i | 0.168227 | − | 0.985748i | \(-0.446196\pi\) |
−0.769570 | + | 0.638563i | \(0.779529\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.631045 | − | 1.09300i | −0.0246570 | − | 0.0427071i | ||||
\(656\) | 5.17415 | + | 8.96188i | 0.202016 | + | 0.349903i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.35763 | − | 4.24292i | 0.325814 | − | 0.165406i | ||||
\(659\) | 4.08467 | + | 2.35828i | 0.159116 | + | 0.0918657i | 0.577444 | − | 0.816430i | \(-0.304050\pi\) |
−0.418328 | + | 0.908296i | \(0.637384\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.42879i | 0.366737i | 0.983044 | + | 0.183369i | \(0.0587002\pi\) | ||||
−0.983044 | + | 0.183369i | \(0.941300\pi\) | |||||||
\(662\) | 5.02462i | 0.195288i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.81032 | − | 3.93194i | −0.264292 | − | 0.152589i | ||||
\(665\) | 0.932583 | − | 0.473445i | 0.0361640 | − | 0.0183594i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.85631 | + | 6.67932i | 0.149317 | + | 0.258624i | ||||
\(668\) | 7.64922 | + | 13.2488i | 0.295957 | + | 0.512613i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.898447 | + | 0.518719i | 0.0347100 | + | 0.0200398i | ||||
\(671\) | −0.160141 | − | 0.277372i | −0.00618218 | − | 0.0107078i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.42728 | + | 11.1324i | −0.247753 | + | 0.429122i | −0.962902 | − | 0.269851i | \(-0.913026\pi\) |
0.715149 | + | 0.698972i | \(0.246359\pi\) | |||||||
\(674\) | 18.4213 | − | 10.6356i | 0.709563 | − | 0.409666i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.874352 | + | 1.51442i | −0.0336289 | + | 0.0582470i | ||||
\(677\) | −49.1893 | −1.89050 | −0.945248 | − | 0.326352i | \(-0.894181\pi\) | ||||
−0.945248 | + | 0.326352i | \(0.894181\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.0597202 | − | 1.10828i | 0.00229185 | − | 0.0425318i | ||||
\(680\) | −0.0907908 | + | 0.0524181i | −0.00348167 | + | 0.00201014i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.30781 | − | 2.48712i | 0.164955 | − | 0.0952366i | ||||
\(683\) | −36.2732 | − | 20.9424i | −1.38796 | − | 0.801337i | −0.394872 | − | 0.918736i | \(-0.629211\pi\) |
−0.993085 | + | 0.117399i | \(0.962544\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.424934i | 0.0162359i | ||||||||
\(686\) | −2.97805 | + | 18.2793i | −0.113702 | + | 0.697905i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.735847 | − | 1.27452i | 0.0280539 | − | 0.0485908i | ||||
\(689\) | 27.8891 | 1.06249 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.42914i | 0.244576i | 0.992495 | + | 0.122288i | \(0.0390231\pi\) | ||||
−0.992495 | + | 0.122288i | \(0.960977\pi\) | |||||||
\(692\) | −2.30125 | −0.0874804 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.5735 | −0.818919 | ||||||||
\(695\) | − | 0.429046i | − | 0.0162746i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.0468 | −0.607817 | ||||||||
\(698\) | −13.9202 | + | 24.1105i | −0.526888 | + | 0.912597i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 7.21464 | − | 11.0738i | 0.272688 | − | 0.418551i | ||||
\(701\) | − | 33.7907i | − | 1.27626i | −0.769930 | − | 0.638129i | \(-0.779709\pi\) | ||
0.769930 | − | 0.638129i | \(-0.220291\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −44.1087 | − | 25.4662i | −1.66359 | − | 0.960475i | ||||
\(704\) | −3.40282 | + | 1.96462i | −0.128249 | + | 0.0740444i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.93850 | + | 2.85124i | −0.185863 | + | 0.107308i | ||||
\(707\) | −25.1190 | + | 38.5553i | −0.944696 | + | 1.45002i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −29.6833 | −1.11478 | −0.557390 | − | 0.830251i | \(-0.688197\pi\) | ||||
−0.557390 | + | 0.830251i | \(0.688197\pi\) | |||||||
\(710\) | −0.145685 | + | 0.252333i | −0.00546744 | + | 0.00946989i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.1281 | − | 5.84745i | 0.379566 | − | 0.219142i | ||||
\(713\) | 3.49871 | − | 6.05995i | 0.131028 | − | 0.226947i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.510090 | − | 0.883501i | −0.0190763 | − | 0.0330411i | ||||
\(716\) | −13.8077 | − | 7.97186i | −0.516017 | − | 0.297923i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.7280 | − | 18.5815i | −0.400366 | − | 0.693455i | ||||
\(719\) | 18.1588 | + | 31.4519i | 0.677207 | + | 1.17296i | 0.975818 | + | 0.218583i | \(0.0701434\pi\) |
−0.298611 | + | 0.954375i | \(0.596523\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.142523 | + | 2.64492i | −0.00530784 | + | 0.0985020i | ||||
\(722\) | −13.1538 | − | 7.59435i | −0.489534 | − | 0.282632i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 18.4526i | − | 0.685785i | ||||||
\(725\) | − | 6.97033i | − | 0.258872i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.9225 | + | 8.61552i | 0.553446 | + | 0.319532i | 0.750511 | − | 0.660858i | \(-0.229808\pi\) |
−0.197065 | + | 0.980390i | \(0.563141\pi\) | |||||||
\(728\) | −5.54650 | + | 8.51336i | −0.205567 | + | 0.315526i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.239181 | − | 0.414273i | −0.00885248 | − | 0.0153329i | ||||
\(731\) | 1.14106 | + | 1.97637i | 0.0422036 | + | 0.0730987i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −37.2907 | − | 21.5298i | −1.37736 | − | 0.795222i | −0.385523 | − | 0.922698i | \(-0.625979\pi\) |
−0.991842 | + | 0.127477i | \(0.959312\pi\) | |||||||
\(734\) | 4.60428 | + | 7.97484i | 0.169947 | + | 0.294357i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.76370 | + | 4.78687i | −0.101871 | + | 0.176446i | ||||
\(737\) | −52.2168 | + | 30.1474i | −1.92343 | + | 1.11049i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.87511 | + | 3.24778i | −0.0689770 | + | 0.119472i | −0.898451 | − | 0.439073i | \(-0.855307\pi\) |
0.829474 | + | 0.558545i | \(0.188640\pi\) | |||||||
\(740\) | 0.588903 | 0.0216485 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 19.1857 | + | 1.03383i | 0.704329 | + | 0.0379532i | ||||
\(743\) | 23.9862 | − | 13.8484i | 0.879967 | − | 0.508049i | 0.00931965 | − | 0.999957i | \(-0.497033\pi\) |
0.870648 | + | 0.491907i | \(0.163700\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.488116 | + | 0.281814i | −0.0178832 | + | 0.0103249i | ||||
\(746\) | 24.4219 | + | 14.1000i | 0.894151 | + | 0.516238i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 6.09297i | − | 0.222781i | ||||||
\(749\) | −20.5380 | − | 13.3806i | −0.750443 | − | 0.488917i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.08856 | − | 3.61750i | 0.0762127 | − | 0.132004i | −0.825400 | − | 0.564548i | \(-0.809051\pi\) |
0.901613 | + | 0.432544i | \(0.142384\pi\) | |||||||
\(752\) | 3.54265 | 0.129187 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.35867i | 0.195151i | ||||||||
\(755\) | −0.956936 | −0.0348264 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.9359 | 1.30611 | 0.653057 | − | 0.757309i | \(-0.273486\pi\) | ||||
0.653057 | + | 0.757309i | \(0.273486\pi\) | |||||||
\(758\) | 4.72569i | 0.171645i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.395305 | 0.0143392 | ||||||||
\(761\) | 14.5715 | − | 25.2385i | 0.528216 | − | 0.914896i | −0.471243 | − | 0.882003i | \(-0.656195\pi\) |
0.999459 | − | 0.0328930i | \(-0.0104720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.34068 | + | 0.233900i | 0.157143 | + | 0.00846775i | ||||
\(764\) | 23.3437i | 0.844546i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.6483 | + | 17.1174i | 1.07124 | + | 0.618478i | ||||
\(767\) | −31.2662 | + | 18.0515i | −1.12896 | + | 0.651804i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.795911 | − | 0.459519i | 0.0287013 | − | 0.0165707i | −0.485581 | − | 0.874192i | \(-0.661392\pi\) |
0.514282 | + | 0.857621i | \(0.328058\pi\) | |||||||
\(770\) | −0.318154 | − | 0.626693i | −0.0114655 | − | 0.0225845i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −21.2878 | −0.766164 | ||||||||
\(773\) | 4.69708 | − | 8.13558i | 0.168942 | − | 0.292616i | −0.769106 | − | 0.639121i | \(-0.779298\pi\) |
0.938048 | + | 0.346505i | \(0.112632\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.47672 | + | 3.16199i | −0.196730 | + | 0.113582i | ||||
\(776\) | 0.209749 | − | 0.363295i | 0.00752954 | − | 0.0130415i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.24726 | − | 16.0167i | −0.331530 | − | 0.574228i | ||||
\(779\) | 52.4011 | + | 30.2538i | 1.87747 | + | 1.08396i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.46703 | − | 14.6653i | −0.302974 | − | 0.524767i | ||||
\(782\) | −4.28560 | − | 7.42288i | −0.153253 | − | 0.265442i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.13117 | + | 5.65097i | −0.147542 | + | 0.201820i | ||||
\(785\) | −0.963683 | − | 0.556383i | −0.0343953 | − | 0.0198581i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 30.5960i | − | 1.09063i | −0.838231 | − | 0.545315i | \(-0.816410\pi\) | ||
0.838231 | − | 0.545315i | \(-0.183590\pi\) | |||||||
\(788\) | 12.8467i | 0.457644i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.400851 | + | 0.231432i | 0.0142617 | + | 0.00823397i | ||||
\(791\) | −34.9497 | − | 22.7699i | −1.24267 | − | 0.809604i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.156520 | − | 0.271101i | −0.00555820 | − | 0.00962709i | ||||
\(794\) | 1.01687 | + | 1.76126i | 0.0360872 | + | 0.0625049i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.24154 | + | 1.87150i | 0.114893 | + | 0.0663337i | ||||
\(797\) | 1.64717 | + | 2.85299i | 0.0583459 | + | 0.101058i | 0.893723 | − | 0.448619i | \(-0.148084\pi\) |
−0.835377 | + | 0.549677i | \(0.814751\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.74674 | + | 4.75750i | −0.0971728 | + | 0.168308i | ||||
\(800\) | 4.32617 | − | 2.49771i | 0.152953 | − | 0.0883075i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 15.7118 | − | 27.2137i | 0.554804 | − | 0.960948i | ||||
\(803\) | 27.8019 | 0.981107 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.828393 | − | 0.539702i | −0.0291970 | − | 0.0190220i | ||||
\(806\) | 4.21041 | − | 2.43088i | 0.148305 | − | 0.0856242i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −15.0623 | + | 8.69621i | −0.529889 | + | 0.305932i | ||||
\(809\) | −19.7833 | − | 11.4219i | −0.695542 | − | 0.401572i | 0.110143 | − | 0.993916i | \(-0.464869\pi\) |
−0.805685 | + | 0.592344i | \(0.798203\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 23.9412i | 0.840691i | 0.907364 | + | 0.420345i | \(0.138091\pi\) | ||||
−0.907364 | + | 0.420345i | \(0.861909\pi\) | |||||||
\(812\) | −0.198643 | + | 3.68638i | −0.00697099 | + | 0.129367i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −17.1132 | + | 29.6409i | −0.599818 | + | 1.03891i | ||||
\(815\) | −0.612985 | −0.0214719 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 8.60515i | − | 0.301056i | ||||||
\(818\) | −0.550583 | −0.0192507 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.699616 | −0.0244316 | ||||||||
\(821\) | − | 2.28557i | − | 0.0797669i | −0.999204 | − | 0.0398834i | \(-0.987301\pi\) | ||
0.999204 | − | 0.0398834i | \(-0.0126987\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −22.9703 | −0.800694 | −0.400347 | − | 0.916364i | \(-0.631110\pi\) | ||||
−0.400347 | + | 0.916364i | \(0.631110\pi\) | |||||||
\(824\) | −0.500568 | + | 0.867010i | −0.0174381 | + | 0.0302037i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −22.1780 | + | 11.2591i | −0.771672 | + | 0.391755i | ||||
\(827\) | 15.1679i | 0.527438i | 0.964600 | + | 0.263719i | \(0.0849492\pi\) | ||||
−0.964600 | + | 0.263719i | \(0.915051\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.73806 | − | 3.31287i | −0.199291 | − | 0.115061i | 0.397034 | − | 0.917804i | \(-0.370040\pi\) |
−0.596325 | + | 0.802743i | \(0.703373\pi\) | |||||||
\(830\) | 0.460425 | − | 0.265826i | 0.0159816 | − | 0.00922697i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.32589 | + | 1.92020i | −0.115304 | + | 0.0665710i | ||||
\(833\) | −4.38577 | − | 9.92925i | −0.151958 | − | 0.344028i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.03428 | −0.0357927 | ||||||||
\(836\) | −11.4874 | + | 19.8967i | −0.397299 | + | 0.688141i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −20.0310 | + | 11.5649i | −0.691961 | + | 0.399504i | ||||
\(839\) | −23.8462 | + | 41.3029i | −0.823264 | + | 1.42593i | 0.0799756 | + | 0.996797i | \(0.474516\pi\) |
−0.903239 | + | 0.429138i | \(0.858818\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.5265 | − | 23.4286i | −0.466431 | − | 0.807883i | ||||
\(842\) | −9.52235 | − | 5.49773i | −0.328162 | − | 0.189464i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.69581 | − | 8.13339i | −0.161637 | − | 0.279963i | ||||
\(845\) | −0.0591122 | − | 0.102385i | −0.00203352 | − | 0.00352216i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.7273 | + | 0.631934i | 0.402956 | + | 0.0217135i | ||||
\(848\) | 6.28910 | + | 3.63101i | 0.215969 | + | 0.124690i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.74628i | 0.265695i | ||||||||
\(851\) | 48.1475i | 1.65048i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 22.0983 | + | 12.7585i | 0.756632 | + | 0.436842i | 0.828085 | − | 0.560602i | \(-0.189430\pi\) |
−0.0714529 | + | 0.997444i | \(0.522764\pi\) | |||||||
\(854\) | −0.0976251 | − | 0.192300i | −0.00334066 | − | 0.00658037i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.63238 | − | 8.02352i | −0.158332 | − | 0.274238i | ||||
\(857\) | 3.19043 | + | 5.52598i | 0.108983 | + | 0.188764i | 0.915358 | − | 0.402640i | \(-0.131907\pi\) |
−0.806376 | + | 0.591404i | \(0.798574\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.7468 | + | 17.1743i | 1.01495 | + | 0.585980i | 0.912636 | − | 0.408773i | \(-0.134043\pi\) |
0.102310 | + | 0.994753i | \(0.467376\pi\) | |||||||
\(860\) | 0.0497483 | + | 0.0861666i | 0.00169640 | + | 0.00293826i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.15530 | − | 7.19720i | 0.141530 | − | 0.245137i | ||||
\(863\) | 31.3380 | − | 18.0930i | 1.06676 | − | 0.615893i | 0.139464 | − | 0.990227i | \(-0.455462\pi\) |
0.927294 | + | 0.374334i | \(0.122129\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0777901 | − | 0.134736i | 0.00264494 | − | 0.00458118i | ||||
\(866\) | −26.1051 | −0.887087 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.98657 | − | 1.51619i | 0.101371 | − | 0.0514629i | ||||
\(869\) | −23.2971 | + | 13.4506i | −0.790299 | + | 0.456279i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −51.0362 | + | 29.4658i | −1.72930 | + | 0.998410i | ||||
\(872\) | 1.42288 | + | 0.821501i | 0.0481849 | + | 0.0278195i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 32.3193i | 1.09322i | ||||||||
\(875\) | 0.809338 | + | 1.59422i | 0.0273606 | + | 0.0538944i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.0155 | + | 29.4716i | −0.574571 | + | 0.995186i | 0.421517 | + | 0.906820i | \(0.361498\pi\) |
−0.996088 | + | 0.0883657i | \(0.971836\pi\) | |||||||
\(878\) | 40.8308 | 1.37797 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 0.265644i | − | 0.00895485i | ||||||
\(881\) | −26.6961 | −0.899416 | −0.449708 | − | 0.893176i | \(-0.648472\pi\) | ||||
−0.449708 | + | 0.893176i | \(0.648472\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.2126 | 0.377333 | 0.188667 | − | 0.982041i | \(-0.439583\pi\) | ||||
0.188667 | + | 0.982041i | \(0.439583\pi\) | |||||||
\(884\) | − | 5.95522i | − | 0.200296i | ||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.2565 | 0.613338 | ||||||||
\(887\) | −5.09353 | + | 8.82225i | −0.171024 | + | 0.296222i | −0.938778 | − | 0.344522i | \(-0.888041\pi\) |
0.767754 | + | 0.640745i | \(0.221374\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −22.8486 | − | 45.0068i | −0.766318 | − | 1.50948i | ||||
\(890\) | 0.790656i | 0.0265028i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.7695 | + | 10.2592i | 0.594966 | + | 0.343504i | ||||
\(893\) | 17.9391 | − | 10.3571i | 0.600308 | − | 0.346588i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.933494 | − | 0.538953i | 0.0312033 | − | 0.0180152i | ||||
\(896\) | −2.35915 | + | 1.19767i | −0.0788136 | + | 0.0400114i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 26.0881 | 0.870570 | ||||||||
\(899\) | 0.883217 | − | 1.52978i | 0.0294569 | − | 0.0510209i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.75235 | + | 5.63052i | −0.324898 | + | 0.187580i | ||||
\(902\) | 20.3305 | − | 35.2134i | 0.676931 | − | 1.17248i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.88296 | − | 13.6537i | −0.262183 | − | 0.454115i | ||||
\(905\) | 1.08039 | + | 0.623761i | 0.0359132 | + | 0.0207345i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.57428 | + | 13.1190i | 0.251500 | + | 0.435611i | 0.963939 | − | 0.266123i | \(-0.0857428\pi\) |
−0.712439 | + | 0.701734i | \(0.752409\pi\) | |||||||
\(908\) | −9.38828 | − | 16.2610i | −0.311561 | − | 0.539640i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.310960 | − | 0.612524i | −0.0103082 | − | 0.0203050i | ||||
\(911\) | 8.43020 | + | 4.86718i | 0.279305 | + | 0.161257i | 0.633109 | − | 0.774063i | \(-0.281779\pi\) |
−0.353804 | + | 0.935320i | \(0.615112\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 30.8991i | 1.02261i | ||||||||
\(914\) | 6.39973i | 0.211684i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.31740 | + | 2.49265i | 0.142651 | + | 0.0823596i | ||||
\(917\) | 49.3195 | + | 2.65761i | 1.62867 | + | 0.0877621i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.01638 | − | 6.95658i | −0.132488 | − | 0.229476i | 0.792147 | − | 0.610330i | \(-0.208963\pi\) |
−0.924635 | + | 0.380854i | \(0.875630\pi\) | |||||||
\(920\) | −0.186845 | − | 0.323625i | −0.00616011 | − | 0.0106696i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.80304 | + | 1.04099i | 0.0593800 | + | 0.0342831i | ||||
\(923\) | −8.27560 | − | 14.3338i | −0.272395 | − | 0.471801i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.7568 | − | 37.6839i | 0.715360 | − | 1.23904i | ||||
\(926\) | −1.66118 | + | 0.959084i | −0.0545898 | + | 0.0315175i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.697671 | + | 1.20840i | −0.0229022 | + | 0.0396677i | ||||
\(929\) | 26.2128 | 0.860014 | 0.430007 | − | 0.902826i | \(-0.358511\pi\) | ||||
0.430007 | + | 0.902826i | \(0.358511\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.39828 | + | 40.6928i | −0.144148 | + | 1.33365i | ||||
\(932\) | 12.7747 | − | 7.37548i | 0.418449 | − | 0.241592i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 29.6488 | − | 17.1178i | 0.970140 | − | 0.560111i | ||||
\(935\) | 0.356739 | + | 0.205963i | 0.0116666 | + | 0.00673573i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 37.5797i | 1.22768i | 0.789432 | + | 0.613838i | \(0.210375\pi\) | ||||
−0.789432 | + | 0.613838i | \(0.789625\pi\) | |||||||
\(938\) | −36.2015 | + | 18.3784i | −1.18202 | + | 0.600077i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.119754 | + | 0.207419i | −0.00390593 | + | 0.00676527i | ||||
\(941\) | −9.27309 | −0.302294 | −0.151147 | − | 0.988511i | \(-0.548297\pi\) | ||||
−0.151147 | + | 0.988511i | \(0.548297\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 57.1992i | − | 1.86266i | ||||||
\(944\) | −9.40086 | −0.305972 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.78264 | −0.188010 | ||||||||
\(947\) | 13.8586i | 0.450343i | 0.974319 | + | 0.225171i | \(0.0722942\pi\) | ||||
−0.974319 | + | 0.225171i | \(0.927706\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 27.1733 | 0.882083 | ||||||||
\(950\) | 14.6044 | − | 25.2956i | 0.473830 | − | 0.820697i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.220756 | − | 4.09675i | 0.00715475 | − | 0.132777i | ||||
\(953\) | − | 2.65523i | − | 0.0860115i | −0.999075 | − | 0.0430057i | \(-0.986307\pi\) | ||
0.999075 | − | 0.0430057i | \(-0.0136934\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.36676 | − | 0.789097i | −0.0442272 | − | 0.0255346i | ||||
\(956\) | −0.155388 | + | 0.0897132i | −0.00502560 | + | 0.00290153i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9.16468 | + | 5.29123i | −0.296098 | + | 0.170952i | ||||
\(959\) | −13.9333 | − | 9.07763i | −0.449931 | − | 0.293132i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.3974 | 0.948302 | ||||||||
\(962\) | −16.7263 | + | 28.9708i | −0.539277 | + | 0.934055i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.31183 | + | 3.06679i | −0.171083 | + | 0.0987746i | ||||
\(965\) | 0.719600 | − | 1.24638i | 0.0231647 | − | 0.0401225i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.14946 | + | 12.3832i | 0.229911 | + | 0.398218i | 0.957782 | − | 0.287497i | \(-0.0928231\pi\) |
−0.727870 | + | 0.685715i | \(0.759490\pi\) | |||||||
\(968\) | 3.84424 | + | 2.21947i | 0.123558 | + | 0.0713365i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0141804 | + | 0.0245613i | 0.000455307 | + | 0.000788614i | ||||
\(971\) | −0.130666 | − | 0.226320i | −0.00419326 | − | 0.00726295i | 0.863921 | − | 0.503627i | \(-0.168001\pi\) |
−0.868114 | + | 0.496364i | \(0.834668\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.0681 | + | 9.16546i | 0.451004 | + | 0.293831i | ||||
\(974\) | −10.3196 | − | 5.95804i | −0.330662 | − | 0.190908i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 0.0815124i | − | 0.00260915i | ||||||
\(977\) | 39.1574i | 1.25276i | 0.779519 | + | 0.626378i | \(0.215464\pi\) | ||||
−0.779519 | + | 0.626378i | \(0.784536\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −39.7957 | − | 22.9760i | −1.27188 | − | 0.734318i | ||||
\(980\) | −0.191212 | − | 0.432899i | −0.00610805 | − | 0.0138285i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.65023 | − | 14.9826i | −0.276040 | − | 0.478115i | ||||
\(983\) | −13.1844 | − | 22.8361i | −0.420517 | − | 0.728357i | 0.575473 | − | 0.817821i | \(-0.304818\pi\) |
−0.995990 | + | 0.0894636i | \(0.971485\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.752163 | − | 0.434262i | −0.0239659 | − | 0.0138367i | ||||
\(986\) | −1.08186 | − | 1.87384i | −0.0344534 | − | 0.0596751i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −11.2276 | + | 19.4468i | −0.357199 | + | 0.618686i | ||||
\(989\) | −7.04481 | + | 4.06732i | −0.224012 | + | 0.129333i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9516 | + | 39.7534i | −0.729082 | + | 1.26281i | 0.228189 | + | 0.973617i | \(0.426720\pi\) |
−0.957271 | + | 0.289191i | \(0.906614\pi\) | |||||||
\(992\) | 1.26595 | 0.0401940 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.16167 | − | 10.1674i | −0.163718 | − | 0.322489i | ||||
\(995\) | −0.219150 | + | 0.126526i | −0.00694753 | + | 0.00401116i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.5929 | + | 10.7346i | −0.588844 | + | 0.339969i | −0.764640 | − | 0.644457i | \(-0.777083\pi\) |
0.175796 | + | 0.984427i | \(0.443750\pi\) | |||||||
\(998\) | −11.1108 | − | 6.41484i | −0.351707 | − | 0.203058i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))