Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(337,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.337");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 337.1 | ||
Root | \(-1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 546.337 |
Dual form | 546.2.c.a.337.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.00000i | 0.447214i | 0.974679 | + | 0.223607i | \(0.0717831\pi\) | ||||
−0.974679 | + | 0.223607i | \(0.928217\pi\) | |||||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.00000 | 0.316228 | ||||||||
\(11\) | 1.00000i | 0.301511i | 0.988571 | + | 0.150756i | \(0.0481707\pi\) | ||||
−0.988571 | + | 0.150756i | \(0.951829\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 3.00000 | + | 2.00000i | 0.832050 | + | 0.554700i | ||||
\(14\) | −1.00000 | −0.267261 | ||||||||
\(15\) | − | 1.00000i | − | 0.258199i | ||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.00000 | 0.242536 | 0.121268 | − | 0.992620i | \(-0.461304\pi\) | ||||
0.121268 | + | 0.992620i | \(0.461304\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | − | 1.00000i | − | 0.229416i | −0.993399 | − | 0.114708i | \(-0.963407\pi\) | ||
0.993399 | − | 0.114708i | \(-0.0365932\pi\) | |||||||
\(20\) | − | 1.00000i | − | 0.223607i | ||||||
\(21\) | 1.00000i | 0.218218i | ||||||||
\(22\) | 1.00000 | 0.213201 | ||||||||
\(23\) | 3.00000 | 0.625543 | 0.312772 | − | 0.949828i | \(-0.398743\pi\) | ||||
0.312772 | + | 0.949828i | \(0.398743\pi\) | |||||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 4.00000 | 0.800000 | ||||||||
\(26\) | 2.00000 | − | 3.00000i | 0.392232 | − | 0.588348i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 1.00000i | 0.188982i | ||||||||
\(29\) | 9.00000 | 1.67126 | 0.835629 | − | 0.549294i | \(-0.185103\pi\) | ||||
0.835629 | + | 0.549294i | \(0.185103\pi\) | |||||||
\(30\) | −1.00000 | −0.182574 | ||||||||
\(31\) | − | 4.00000i | − | 0.718421i | −0.933257 | − | 0.359211i | \(-0.883046\pi\) | ||
0.933257 | − | 0.359211i | \(-0.116954\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 1.00000i | − | 0.174078i | ||||||
\(34\) | − | 1.00000i | − | 0.171499i | ||||||
\(35\) | 1.00000 | 0.169031 | ||||||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | − | 9.00000i | − | 1.47959i | −0.672832 | − | 0.739795i | \(-0.734922\pi\) | ||
0.672832 | − | 0.739795i | \(-0.265078\pi\) | |||||||
\(38\) | −1.00000 | −0.162221 | ||||||||
\(39\) | −3.00000 | − | 2.00000i | −0.480384 | − | 0.320256i | ||||
\(40\) | −1.00000 | −0.158114 | ||||||||
\(41\) | 8.00000i | 1.24939i | 0.780869 | + | 0.624695i | \(0.214777\pi\) | ||||
−0.780869 | + | 0.624695i | \(0.785223\pi\) | |||||||
\(42\) | 1.00000 | 0.154303 | ||||||||
\(43\) | 7.00000 | 1.06749 | 0.533745 | − | 0.845645i | \(-0.320784\pi\) | ||||
0.533745 | + | 0.845645i | \(0.320784\pi\) | |||||||
\(44\) | − | 1.00000i | − | 0.150756i | ||||||
\(45\) | 1.00000i | 0.149071i | ||||||||
\(46\) | − | 3.00000i | − | 0.442326i | ||||||
\(47\) | 8.00000i | 1.16692i | 0.812142 | + | 0.583460i | \(0.198301\pi\) | ||||
−0.812142 | + | 0.583460i | \(0.801699\pi\) | |||||||
\(48\) | −1.00000 | −0.144338 | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 4.00000i | − | 0.565685i | ||||||
\(51\) | −1.00000 | −0.140028 | ||||||||
\(52\) | −3.00000 | − | 2.00000i | −0.416025 | − | 0.277350i | ||||
\(53\) | −10.0000 | −1.37361 | −0.686803 | − | 0.726844i | \(-0.740986\pi\) | ||||
−0.686803 | + | 0.726844i | \(0.740986\pi\) | |||||||
\(54\) | 1.00000i | 0.136083i | ||||||||
\(55\) | −1.00000 | −0.134840 | ||||||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | 1.00000i | 0.132453i | ||||||||
\(58\) | − | 9.00000i | − | 1.18176i | ||||||
\(59\) | − | 6.00000i | − | 0.781133i | −0.920575 | − | 0.390567i | \(-0.872279\pi\) | ||
0.920575 | − | 0.390567i | \(-0.127721\pi\) | |||||||
\(60\) | 1.00000i | 0.129099i | ||||||||
\(61\) | 11.0000 | 1.40841 | 0.704203 | − | 0.709999i | \(-0.251305\pi\) | ||||
0.704203 | + | 0.709999i | \(0.251305\pi\) | |||||||
\(62\) | −4.00000 | −0.508001 | ||||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.00000 | + | 3.00000i | −0.248069 | + | 0.372104i | ||||
\(66\) | −1.00000 | −0.123091 | ||||||||
\(67\) | − | 12.0000i | − | 1.46603i | −0.680211 | − | 0.733017i | \(-0.738112\pi\) | ||
0.680211 | − | 0.733017i | \(-0.261888\pi\) | |||||||
\(68\) | −1.00000 | −0.121268 | ||||||||
\(69\) | −3.00000 | −0.361158 | ||||||||
\(70\) | − | 1.00000i | − | 0.119523i | ||||||
\(71\) | 6.00000i | 0.712069i | 0.934473 | + | 0.356034i | \(0.115871\pi\) | ||||
−0.934473 | + | 0.356034i | \(0.884129\pi\) | |||||||
\(72\) | 1.00000i | 0.117851i | ||||||||
\(73\) | 11.0000i | 1.28745i | 0.765256 | + | 0.643726i | \(0.222612\pi\) | ||||
−0.765256 | + | 0.643726i | \(0.777388\pi\) | |||||||
\(74\) | −9.00000 | −1.04623 | ||||||||
\(75\) | −4.00000 | −0.461880 | ||||||||
\(76\) | 1.00000i | 0.114708i | ||||||||
\(77\) | 1.00000 | 0.113961 | ||||||||
\(78\) | −2.00000 | + | 3.00000i | −0.226455 | + | 0.339683i | ||||
\(79\) | −12.0000 | −1.35011 | −0.675053 | − | 0.737769i | \(-0.735879\pi\) | ||||
−0.675053 | + | 0.737769i | \(0.735879\pi\) | |||||||
\(80\) | 1.00000i | 0.111803i | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 8.00000 | 0.883452 | ||||||||
\(83\) | 6.00000i | 0.658586i | 0.944228 | + | 0.329293i | \(0.106810\pi\) | ||||
−0.944228 | + | 0.329293i | \(0.893190\pi\) | |||||||
\(84\) | − | 1.00000i | − | 0.109109i | ||||||
\(85\) | 1.00000i | 0.108465i | ||||||||
\(86\) | − | 7.00000i | − | 0.754829i | ||||||
\(87\) | −9.00000 | −0.964901 | ||||||||
\(88\) | −1.00000 | −0.106600 | ||||||||
\(89\) | 12.0000i | 1.27200i | 0.771690 | + | 0.635999i | \(0.219412\pi\) | ||||
−0.771690 | + | 0.635999i | \(0.780588\pi\) | |||||||
\(90\) | 1.00000 | 0.105409 | ||||||||
\(91\) | 2.00000 | − | 3.00000i | 0.209657 | − | 0.314485i | ||||
\(92\) | −3.00000 | −0.312772 | ||||||||
\(93\) | 4.00000i | 0.414781i | ||||||||
\(94\) | 8.00000 | 0.825137 | ||||||||
\(95\) | 1.00000 | 0.102598 | ||||||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | − | 2.00000i | − | 0.203069i | −0.994832 | − | 0.101535i | \(-0.967625\pi\) | ||
0.994832 | − | 0.101535i | \(-0.0323753\pi\) | |||||||
\(98\) | 1.00000i | 0.101015i | ||||||||
\(99\) | 1.00000i | 0.100504i | ||||||||
\(100\) | −4.00000 | −0.400000 | ||||||||
\(101\) | −2.00000 | −0.199007 | −0.0995037 | − | 0.995037i | \(-0.531726\pi\) | ||||
−0.0995037 | + | 0.995037i | \(0.531726\pi\) | |||||||
\(102\) | 1.00000i | 0.0990148i | ||||||||
\(103\) | −5.00000 | −0.492665 | −0.246332 | − | 0.969185i | \(-0.579225\pi\) | ||||
−0.246332 | + | 0.969185i | \(0.579225\pi\) | |||||||
\(104\) | −2.00000 | + | 3.00000i | −0.196116 | + | 0.294174i | ||||
\(105\) | −1.00000 | −0.0975900 | ||||||||
\(106\) | 10.0000i | 0.971286i | ||||||||
\(107\) | −2.00000 | −0.193347 | −0.0966736 | − | 0.995316i | \(-0.530820\pi\) | ||||
−0.0966736 | + | 0.995316i | \(0.530820\pi\) | |||||||
\(108\) | 1.00000 | 0.0962250 | ||||||||
\(109\) | 7.00000i | 0.670478i | 0.942133 | + | 0.335239i | \(0.108817\pi\) | ||||
−0.942133 | + | 0.335239i | \(0.891183\pi\) | |||||||
\(110\) | 1.00000i | 0.0953463i | ||||||||
\(111\) | 9.00000i | 0.854242i | ||||||||
\(112\) | − | 1.00000i | − | 0.0944911i | ||||||
\(113\) | −2.00000 | −0.188144 | −0.0940721 | − | 0.995565i | \(-0.529988\pi\) | ||||
−0.0940721 | + | 0.995565i | \(0.529988\pi\) | |||||||
\(114\) | 1.00000 | 0.0936586 | ||||||||
\(115\) | 3.00000i | 0.279751i | ||||||||
\(116\) | −9.00000 | −0.835629 | ||||||||
\(117\) | 3.00000 | + | 2.00000i | 0.277350 | + | 0.184900i | ||||
\(118\) | −6.00000 | −0.552345 | ||||||||
\(119\) | − | 1.00000i | − | 0.0916698i | ||||||
\(120\) | 1.00000 | 0.0912871 | ||||||||
\(121\) | 10.0000 | 0.909091 | ||||||||
\(122\) | − | 11.0000i | − | 0.995893i | ||||||
\(123\) | − | 8.00000i | − | 0.721336i | ||||||
\(124\) | 4.00000i | 0.359211i | ||||||||
\(125\) | 9.00000i | 0.804984i | ||||||||
\(126\) | −1.00000 | −0.0890871 | ||||||||
\(127\) | 16.0000 | 1.41977 | 0.709885 | − | 0.704317i | \(-0.248747\pi\) | ||||
0.709885 | + | 0.704317i | \(0.248747\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −7.00000 | −0.616316 | ||||||||
\(130\) | 3.00000 | + | 2.00000i | 0.263117 | + | 0.175412i | ||||
\(131\) | −3.00000 | −0.262111 | −0.131056 | − | 0.991375i | \(-0.541837\pi\) | ||||
−0.131056 | + | 0.991375i | \(0.541837\pi\) | |||||||
\(132\) | 1.00000i | 0.0870388i | ||||||||
\(133\) | −1.00000 | −0.0867110 | ||||||||
\(134\) | −12.0000 | −1.03664 | ||||||||
\(135\) | − | 1.00000i | − | 0.0860663i | ||||||
\(136\) | 1.00000i | 0.0857493i | ||||||||
\(137\) | − | 15.0000i | − | 1.28154i | −0.767734 | − | 0.640768i | \(-0.778616\pi\) | ||
0.767734 | − | 0.640768i | \(-0.221384\pi\) | |||||||
\(138\) | 3.00000i | 0.255377i | ||||||||
\(139\) | −12.0000 | −1.01783 | −0.508913 | − | 0.860818i | \(-0.669953\pi\) | ||||
−0.508913 | + | 0.860818i | \(0.669953\pi\) | |||||||
\(140\) | −1.00000 | −0.0845154 | ||||||||
\(141\) | − | 8.00000i | − | 0.673722i | ||||||
\(142\) | 6.00000 | 0.503509 | ||||||||
\(143\) | −2.00000 | + | 3.00000i | −0.167248 | + | 0.250873i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 9.00000i | 0.747409i | ||||||||
\(146\) | 11.0000 | 0.910366 | ||||||||
\(147\) | 1.00000 | 0.0824786 | ||||||||
\(148\) | 9.00000i | 0.739795i | ||||||||
\(149\) | 6.00000i | 0.491539i | 0.969328 | + | 0.245770i | \(0.0790407\pi\) | ||||
−0.969328 | + | 0.245770i | \(0.920959\pi\) | |||||||
\(150\) | 4.00000i | 0.326599i | ||||||||
\(151\) | 1.00000i | 0.0813788i | 0.999172 | + | 0.0406894i | \(0.0129554\pi\) | ||||
−0.999172 | + | 0.0406894i | \(0.987045\pi\) | |||||||
\(152\) | 1.00000 | 0.0811107 | ||||||||
\(153\) | 1.00000 | 0.0808452 | ||||||||
\(154\) | − | 1.00000i | − | 0.0805823i | ||||||
\(155\) | 4.00000 | 0.321288 | ||||||||
\(156\) | 3.00000 | + | 2.00000i | 0.240192 | + | 0.160128i | ||||
\(157\) | −21.0000 | −1.67598 | −0.837991 | − | 0.545684i | \(-0.816270\pi\) | ||||
−0.837991 | + | 0.545684i | \(0.816270\pi\) | |||||||
\(158\) | 12.0000i | 0.954669i | ||||||||
\(159\) | 10.0000 | 0.793052 | ||||||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | − | 3.00000i | − | 0.236433i | ||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | − | 20.0000i | − | 1.56652i | −0.621694 | − | 0.783260i | \(-0.713555\pi\) | ||
0.621694 | − | 0.783260i | \(-0.286445\pi\) | |||||||
\(164\) | − | 8.00000i | − | 0.624695i | ||||||
\(165\) | 1.00000 | 0.0778499 | ||||||||
\(166\) | 6.00000 | 0.465690 | ||||||||
\(167\) | − | 11.0000i | − | 0.851206i | −0.904910 | − | 0.425603i | \(-0.860062\pi\) | ||
0.904910 | − | 0.425603i | \(-0.139938\pi\) | |||||||
\(168\) | −1.00000 | −0.0771517 | ||||||||
\(169\) | 5.00000 | + | 12.0000i | 0.384615 | + | 0.923077i | ||||
\(170\) | 1.00000 | 0.0766965 | ||||||||
\(171\) | − | 1.00000i | − | 0.0764719i | ||||||
\(172\) | −7.00000 | −0.533745 | ||||||||
\(173\) | 14.0000 | 1.06440 | 0.532200 | − | 0.846619i | \(-0.321365\pi\) | ||||
0.532200 | + | 0.846619i | \(0.321365\pi\) | |||||||
\(174\) | 9.00000i | 0.682288i | ||||||||
\(175\) | − | 4.00000i | − | 0.302372i | ||||||
\(176\) | 1.00000i | 0.0753778i | ||||||||
\(177\) | 6.00000i | 0.450988i | ||||||||
\(178\) | 12.0000 | 0.899438 | ||||||||
\(179\) | −18.0000 | −1.34538 | −0.672692 | − | 0.739923i | \(-0.734862\pi\) | ||||
−0.672692 | + | 0.739923i | \(0.734862\pi\) | |||||||
\(180\) | − | 1.00000i | − | 0.0745356i | ||||||
\(181\) | −2.00000 | −0.148659 | −0.0743294 | − | 0.997234i | \(-0.523682\pi\) | ||||
−0.0743294 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(182\) | −3.00000 | − | 2.00000i | −0.222375 | − | 0.148250i | ||||
\(183\) | −11.0000 | −0.813143 | ||||||||
\(184\) | 3.00000i | 0.221163i | ||||||||
\(185\) | 9.00000 | 0.661693 | ||||||||
\(186\) | 4.00000 | 0.293294 | ||||||||
\(187\) | 1.00000i | 0.0731272i | ||||||||
\(188\) | − | 8.00000i | − | 0.583460i | ||||||
\(189\) | 1.00000i | 0.0727393i | ||||||||
\(190\) | − | 1.00000i | − | 0.0725476i | ||||||
\(191\) | −11.0000 | −0.795932 | −0.397966 | − | 0.917400i | \(-0.630284\pi\) | ||||
−0.397966 | + | 0.917400i | \(0.630284\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | − | 12.0000i | − | 0.863779i | −0.901927 | − | 0.431889i | \(-0.857847\pi\) | ||
0.901927 | − | 0.431889i | \(-0.142153\pi\) | |||||||
\(194\) | −2.00000 | −0.143592 | ||||||||
\(195\) | 2.00000 | − | 3.00000i | 0.143223 | − | 0.214834i | ||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | − | 2.00000i | − | 0.142494i | −0.997459 | − | 0.0712470i | \(-0.977302\pi\) | ||
0.997459 | − | 0.0712470i | \(-0.0226979\pi\) | |||||||
\(198\) | 1.00000 | 0.0710669 | ||||||||
\(199\) | 5.00000 | 0.354441 | 0.177220 | − | 0.984171i | \(-0.443289\pi\) | ||||
0.177220 | + | 0.984171i | \(0.443289\pi\) | |||||||
\(200\) | 4.00000i | 0.282843i | ||||||||
\(201\) | 12.0000i | 0.846415i | ||||||||
\(202\) | 2.00000i | 0.140720i | ||||||||
\(203\) | − | 9.00000i | − | 0.631676i | ||||||
\(204\) | 1.00000 | 0.0700140 | ||||||||
\(205\) | −8.00000 | −0.558744 | ||||||||
\(206\) | 5.00000i | 0.348367i | ||||||||
\(207\) | 3.00000 | 0.208514 | ||||||||
\(208\) | 3.00000 | + | 2.00000i | 0.208013 | + | 0.138675i | ||||
\(209\) | 1.00000 | 0.0691714 | ||||||||
\(210\) | 1.00000i | 0.0690066i | ||||||||
\(211\) | −5.00000 | −0.344214 | −0.172107 | − | 0.985078i | \(-0.555058\pi\) | ||||
−0.172107 | + | 0.985078i | \(0.555058\pi\) | |||||||
\(212\) | 10.0000 | 0.686803 | ||||||||
\(213\) | − | 6.00000i | − | 0.411113i | ||||||
\(214\) | 2.00000i | 0.136717i | ||||||||
\(215\) | 7.00000i | 0.477396i | ||||||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −4.00000 | −0.271538 | ||||||||
\(218\) | 7.00000 | 0.474100 | ||||||||
\(219\) | − | 11.0000i | − | 0.743311i | ||||||
\(220\) | 1.00000 | 0.0674200 | ||||||||
\(221\) | 3.00000 | + | 2.00000i | 0.201802 | + | 0.134535i | ||||
\(222\) | 9.00000 | 0.604040 | ||||||||
\(223\) | − | 8.00000i | − | 0.535720i | −0.963458 | − | 0.267860i | \(-0.913684\pi\) | ||
0.963458 | − | 0.267860i | \(-0.0863164\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | 4.00000 | 0.266667 | ||||||||
\(226\) | 2.00000i | 0.133038i | ||||||||
\(227\) | − | 12.0000i | − | 0.796468i | −0.917284 | − | 0.398234i | \(-0.869623\pi\) | ||
0.917284 | − | 0.398234i | \(-0.130377\pi\) | |||||||
\(228\) | − | 1.00000i | − | 0.0662266i | ||||||
\(229\) | 2.00000i | 0.132164i | 0.997814 | + | 0.0660819i | \(0.0210498\pi\) | ||||
−0.997814 | + | 0.0660819i | \(0.978950\pi\) | |||||||
\(230\) | 3.00000 | 0.197814 | ||||||||
\(231\) | −1.00000 | −0.0657952 | ||||||||
\(232\) | 9.00000i | 0.590879i | ||||||||
\(233\) | −18.0000 | −1.17922 | −0.589610 | − | 0.807688i | \(-0.700718\pi\) | ||||
−0.589610 | + | 0.807688i | \(0.700718\pi\) | |||||||
\(234\) | 2.00000 | − | 3.00000i | 0.130744 | − | 0.196116i | ||||
\(235\) | −8.00000 | −0.521862 | ||||||||
\(236\) | 6.00000i | 0.390567i | ||||||||
\(237\) | 12.0000 | 0.779484 | ||||||||
\(238\) | −1.00000 | −0.0648204 | ||||||||
\(239\) | − | 8.00000i | − | 0.517477i | −0.965947 | − | 0.258738i | \(-0.916693\pi\) | ||
0.965947 | − | 0.258738i | \(-0.0833068\pi\) | |||||||
\(240\) | − | 1.00000i | − | 0.0645497i | ||||||
\(241\) | 10.0000i | 0.644157i | 0.946713 | + | 0.322078i | \(0.104381\pi\) | ||||
−0.946713 | + | 0.322078i | \(0.895619\pi\) | |||||||
\(242\) | − | 10.0000i | − | 0.642824i | ||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −11.0000 | −0.704203 | ||||||||
\(245\) | − | 1.00000i | − | 0.0638877i | ||||||
\(246\) | −8.00000 | −0.510061 | ||||||||
\(247\) | 2.00000 | − | 3.00000i | 0.127257 | − | 0.190885i | ||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | − | 6.00000i | − | 0.380235i | ||||||
\(250\) | 9.00000 | 0.569210 | ||||||||
\(251\) | 11.0000 | 0.694314 | 0.347157 | − | 0.937807i | \(-0.387147\pi\) | ||||
0.347157 | + | 0.937807i | \(0.387147\pi\) | |||||||
\(252\) | 1.00000i | 0.0629941i | ||||||||
\(253\) | 3.00000i | 0.188608i | ||||||||
\(254\) | − | 16.0000i | − | 1.00393i | ||||||
\(255\) | − | 1.00000i | − | 0.0626224i | ||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 14.0000 | 0.873296 | 0.436648 | − | 0.899632i | \(-0.356166\pi\) | ||||
0.436648 | + | 0.899632i | \(0.356166\pi\) | |||||||
\(258\) | 7.00000i | 0.435801i | ||||||||
\(259\) | −9.00000 | −0.559233 | ||||||||
\(260\) | 2.00000 | − | 3.00000i | 0.124035 | − | 0.186052i | ||||
\(261\) | 9.00000 | 0.557086 | ||||||||
\(262\) | 3.00000i | 0.185341i | ||||||||
\(263\) | 16.0000 | 0.986602 | 0.493301 | − | 0.869859i | \(-0.335790\pi\) | ||||
0.493301 | + | 0.869859i | \(0.335790\pi\) | |||||||
\(264\) | 1.00000 | 0.0615457 | ||||||||
\(265\) | − | 10.0000i | − | 0.614295i | ||||||
\(266\) | 1.00000i | 0.0613139i | ||||||||
\(267\) | − | 12.0000i | − | 0.734388i | ||||||
\(268\) | 12.0000i | 0.733017i | ||||||||
\(269\) | −20.0000 | −1.21942 | −0.609711 | − | 0.792624i | \(-0.708714\pi\) | ||||
−0.609711 | + | 0.792624i | \(0.708714\pi\) | |||||||
\(270\) | −1.00000 | −0.0608581 | ||||||||
\(271\) | − | 4.00000i | − | 0.242983i | −0.992592 | − | 0.121491i | \(-0.961232\pi\) | ||
0.992592 | − | 0.121491i | \(-0.0387677\pi\) | |||||||
\(272\) | 1.00000 | 0.0606339 | ||||||||
\(273\) | −2.00000 | + | 3.00000i | −0.121046 | + | 0.181568i | ||||
\(274\) | −15.0000 | −0.906183 | ||||||||
\(275\) | 4.00000i | 0.241209i | ||||||||
\(276\) | 3.00000 | 0.180579 | ||||||||
\(277\) | 16.0000 | 0.961347 | 0.480673 | − | 0.876900i | \(-0.340392\pi\) | ||||
0.480673 | + | 0.876900i | \(0.340392\pi\) | |||||||
\(278\) | 12.0000i | 0.719712i | ||||||||
\(279\) | − | 4.00000i | − | 0.239474i | ||||||
\(280\) | 1.00000i | 0.0597614i | ||||||||
\(281\) | − | 22.0000i | − | 1.31241i | −0.754583 | − | 0.656205i | \(-0.772161\pi\) | ||
0.754583 | − | 0.656205i | \(-0.227839\pi\) | |||||||
\(282\) | −8.00000 | −0.476393 | ||||||||
\(283\) | −14.0000 | −0.832214 | −0.416107 | − | 0.909316i | \(-0.636606\pi\) | ||||
−0.416107 | + | 0.909316i | \(0.636606\pi\) | |||||||
\(284\) | − | 6.00000i | − | 0.356034i | ||||||
\(285\) | −1.00000 | −0.0592349 | ||||||||
\(286\) | 3.00000 | + | 2.00000i | 0.177394 | + | 0.118262i | ||||
\(287\) | 8.00000 | 0.472225 | ||||||||
\(288\) | − | 1.00000i | − | 0.0589256i | ||||||
\(289\) | −16.0000 | −0.941176 | ||||||||
\(290\) | 9.00000 | 0.528498 | ||||||||
\(291\) | 2.00000i | 0.117242i | ||||||||
\(292\) | − | 11.0000i | − | 0.643726i | ||||||
\(293\) | − | 26.0000i | − | 1.51894i | −0.650545 | − | 0.759468i | \(-0.725459\pi\) | ||
0.650545 | − | 0.759468i | \(-0.274541\pi\) | |||||||
\(294\) | − | 1.00000i | − | 0.0583212i | ||||||
\(295\) | 6.00000 | 0.349334 | ||||||||
\(296\) | 9.00000 | 0.523114 | ||||||||
\(297\) | − | 1.00000i | − | 0.0580259i | ||||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 9.00000 | + | 6.00000i | 0.520483 | + | 0.346989i | ||||
\(300\) | 4.00000 | 0.230940 | ||||||||
\(301\) | − | 7.00000i | − | 0.403473i | ||||||
\(302\) | 1.00000 | 0.0575435 | ||||||||
\(303\) | 2.00000 | 0.114897 | ||||||||
\(304\) | − | 1.00000i | − | 0.0573539i | ||||||
\(305\) | 11.0000i | 0.629858i | ||||||||
\(306\) | − | 1.00000i | − | 0.0571662i | ||||||
\(307\) | − | 8.00000i | − | 0.456584i | −0.973593 | − | 0.228292i | \(-0.926686\pi\) | ||
0.973593 | − | 0.228292i | \(-0.0733141\pi\) | |||||||
\(308\) | −1.00000 | −0.0569803 | ||||||||
\(309\) | 5.00000 | 0.284440 | ||||||||
\(310\) | − | 4.00000i | − | 0.227185i | ||||||
\(311\) | 8.00000 | 0.453638 | 0.226819 | − | 0.973937i | \(-0.427167\pi\) | ||||
0.226819 | + | 0.973937i | \(0.427167\pi\) | |||||||
\(312\) | 2.00000 | − | 3.00000i | 0.113228 | − | 0.169842i | ||||
\(313\) | −14.0000 | −0.791327 | −0.395663 | − | 0.918396i | \(-0.629485\pi\) | ||||
−0.395663 | + | 0.918396i | \(0.629485\pi\) | |||||||
\(314\) | 21.0000i | 1.18510i | ||||||||
\(315\) | 1.00000 | 0.0563436 | ||||||||
\(316\) | 12.0000 | 0.675053 | ||||||||
\(317\) | − | 12.0000i | − | 0.673987i | −0.941507 | − | 0.336994i | \(-0.890590\pi\) | ||
0.941507 | − | 0.336994i | \(-0.109410\pi\) | |||||||
\(318\) | − | 10.0000i | − | 0.560772i | ||||||
\(319\) | 9.00000i | 0.503903i | ||||||||
\(320\) | − | 1.00000i | − | 0.0559017i | ||||||
\(321\) | 2.00000 | 0.111629 | ||||||||
\(322\) | −3.00000 | −0.167183 | ||||||||
\(323\) | − | 1.00000i | − | 0.0556415i | ||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 12.0000 | + | 8.00000i | 0.665640 | + | 0.443760i | ||||
\(326\) | −20.0000 | −1.10770 | ||||||||
\(327\) | − | 7.00000i | − | 0.387101i | ||||||
\(328\) | −8.00000 | −0.441726 | ||||||||
\(329\) | 8.00000 | 0.441054 | ||||||||
\(330\) | − | 1.00000i | − | 0.0550482i | ||||||
\(331\) | − | 8.00000i | − | 0.439720i | −0.975531 | − | 0.219860i | \(-0.929440\pi\) | ||
0.975531 | − | 0.219860i | \(-0.0705600\pi\) | |||||||
\(332\) | − | 6.00000i | − | 0.329293i | ||||||
\(333\) | − | 9.00000i | − | 0.493197i | ||||||
\(334\) | −11.0000 | −0.601893 | ||||||||
\(335\) | 12.0000 | 0.655630 | ||||||||
\(336\) | 1.00000i | 0.0545545i | ||||||||
\(337\) | 17.0000 | 0.926049 | 0.463025 | − | 0.886345i | \(-0.346764\pi\) | ||||
0.463025 | + | 0.886345i | \(0.346764\pi\) | |||||||
\(338\) | 12.0000 | − | 5.00000i | 0.652714 | − | 0.271964i | ||||
\(339\) | 2.00000 | 0.108625 | ||||||||
\(340\) | − | 1.00000i | − | 0.0542326i | ||||||
\(341\) | 4.00000 | 0.216612 | ||||||||
\(342\) | −1.00000 | −0.0540738 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 7.00000i | 0.377415i | ||||||||
\(345\) | − | 3.00000i | − | 0.161515i | ||||||
\(346\) | − | 14.0000i | − | 0.752645i | ||||||
\(347\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(348\) | 9.00000 | 0.482451 | ||||||||
\(349\) | − | 4.00000i | − | 0.214115i | −0.994253 | − | 0.107058i | \(-0.965857\pi\) | ||
0.994253 | − | 0.107058i | \(-0.0341429\pi\) | |||||||
\(350\) | −4.00000 | −0.213809 | ||||||||
\(351\) | −3.00000 | − | 2.00000i | −0.160128 | − | 0.106752i | ||||
\(352\) | 1.00000 | 0.0533002 | ||||||||
\(353\) | − | 16.0000i | − | 0.851594i | −0.904819 | − | 0.425797i | \(-0.859994\pi\) | ||
0.904819 | − | 0.425797i | \(-0.140006\pi\) | |||||||
\(354\) | 6.00000 | 0.318896 | ||||||||
\(355\) | −6.00000 | −0.318447 | ||||||||
\(356\) | − | 12.0000i | − | 0.635999i | ||||||
\(357\) | 1.00000i | 0.0529256i | ||||||||
\(358\) | 18.0000i | 0.951330i | ||||||||
\(359\) | 30.0000i | 1.58334i | 0.610949 | + | 0.791670i | \(0.290788\pi\) | ||||
−0.610949 | + | 0.791670i | \(0.709212\pi\) | |||||||
\(360\) | −1.00000 | −0.0527046 | ||||||||
\(361\) | 18.0000 | 0.947368 | ||||||||
\(362\) | 2.00000i | 0.105118i | ||||||||
\(363\) | −10.0000 | −0.524864 | ||||||||
\(364\) | −2.00000 | + | 3.00000i | −0.104828 | + | 0.157243i | ||||
\(365\) | −11.0000 | −0.575766 | ||||||||
\(366\) | 11.0000i | 0.574979i | ||||||||
\(367\) | −8.00000 | −0.417597 | −0.208798 | − | 0.977959i | \(-0.566955\pi\) | ||||
−0.208798 | + | 0.977959i | \(0.566955\pi\) | |||||||
\(368\) | 3.00000 | 0.156386 | ||||||||
\(369\) | 8.00000i | 0.416463i | ||||||||
\(370\) | − | 9.00000i | − | 0.467888i | ||||||
\(371\) | 10.0000i | 0.519174i | ||||||||
\(372\) | − | 4.00000i | − | 0.207390i | ||||||
\(373\) | −14.0000 | −0.724893 | −0.362446 | − | 0.932005i | \(-0.618058\pi\) | ||||
−0.362446 | + | 0.932005i | \(0.618058\pi\) | |||||||
\(374\) | 1.00000 | 0.0517088 | ||||||||
\(375\) | − | 9.00000i | − | 0.464758i | ||||||
\(376\) | −8.00000 | −0.412568 | ||||||||
\(377\) | 27.0000 | + | 18.0000i | 1.39057 | + | 0.927047i | ||||
\(378\) | 1.00000 | 0.0514344 | ||||||||
\(379\) | 16.0000i | 0.821865i | 0.911666 | + | 0.410932i | \(0.134797\pi\) | ||||
−0.911666 | + | 0.410932i | \(0.865203\pi\) | |||||||
\(380\) | −1.00000 | −0.0512989 | ||||||||
\(381\) | −16.0000 | −0.819705 | ||||||||
\(382\) | 11.0000i | 0.562809i | ||||||||
\(383\) | 35.0000i | 1.78842i | 0.447651 | + | 0.894208i | \(0.352261\pi\) | ||||
−0.447651 | + | 0.894208i | \(0.647739\pi\) | |||||||
\(384\) | − | 1.00000i | − | 0.0510310i | ||||||
\(385\) | 1.00000i | 0.0509647i | ||||||||
\(386\) | −12.0000 | −0.610784 | ||||||||
\(387\) | 7.00000 | 0.355830 | ||||||||
\(388\) | 2.00000i | 0.101535i | ||||||||
\(389\) | 2.00000 | 0.101404 | 0.0507020 | − | 0.998714i | \(-0.483854\pi\) | ||||
0.0507020 | + | 0.998714i | \(0.483854\pi\) | |||||||
\(390\) | −3.00000 | − | 2.00000i | −0.151911 | − | 0.101274i | ||||
\(391\) | 3.00000 | 0.151717 | ||||||||
\(392\) | − | 1.00000i | − | 0.0505076i | ||||||
\(393\) | 3.00000 | 0.151330 | ||||||||
\(394\) | −2.00000 | −0.100759 | ||||||||
\(395\) | − | 12.0000i | − | 0.603786i | ||||||
\(396\) | − | 1.00000i | − | 0.0502519i | ||||||
\(397\) | 4.00000i | 0.200754i | 0.994949 | + | 0.100377i | \(0.0320049\pi\) | ||||
−0.994949 | + | 0.100377i | \(0.967995\pi\) | |||||||
\(398\) | − | 5.00000i | − | 0.250627i | ||||||
\(399\) | 1.00000 | 0.0500626 | ||||||||
\(400\) | 4.00000 | 0.200000 | ||||||||
\(401\) | 14.0000i | 0.699127i | 0.936913 | + | 0.349563i | \(0.113670\pi\) | ||||
−0.936913 | + | 0.349563i | \(0.886330\pi\) | |||||||
\(402\) | 12.0000 | 0.598506 | ||||||||
\(403\) | 8.00000 | − | 12.0000i | 0.398508 | − | 0.597763i | ||||
\(404\) | 2.00000 | 0.0995037 | ||||||||
\(405\) | 1.00000i | 0.0496904i | ||||||||
\(406\) | −9.00000 | −0.446663 | ||||||||
\(407\) | 9.00000 | 0.446113 | ||||||||
\(408\) | − | 1.00000i | − | 0.0495074i | ||||||
\(409\) | 27.0000i | 1.33506i | 0.744581 | + | 0.667532i | \(0.232649\pi\) | ||||
−0.744581 | + | 0.667532i | \(0.767351\pi\) | |||||||
\(410\) | 8.00000i | 0.395092i | ||||||||
\(411\) | 15.0000i | 0.739895i | ||||||||
\(412\) | 5.00000 | 0.246332 | ||||||||
\(413\) | −6.00000 | −0.295241 | ||||||||
\(414\) | − | 3.00000i | − | 0.147442i | ||||||
\(415\) | −6.00000 | −0.294528 | ||||||||
\(416\) | 2.00000 | − | 3.00000i | 0.0980581 | − | 0.147087i | ||||
\(417\) | 12.0000 | 0.587643 | ||||||||
\(418\) | − | 1.00000i | − | 0.0489116i | ||||||
\(419\) | 23.0000 | 1.12362 | 0.561812 | − | 0.827265i | \(-0.310105\pi\) | ||||
0.561812 | + | 0.827265i | \(0.310105\pi\) | |||||||
\(420\) | 1.00000 | 0.0487950 | ||||||||
\(421\) | 22.0000i | 1.07221i | 0.844150 | + | 0.536107i | \(0.180106\pi\) | ||||
−0.844150 | + | 0.536107i | \(0.819894\pi\) | |||||||
\(422\) | 5.00000i | 0.243396i | ||||||||
\(423\) | 8.00000i | 0.388973i | ||||||||
\(424\) | − | 10.0000i | − | 0.485643i | ||||||
\(425\) | 4.00000 | 0.194029 | ||||||||
\(426\) | −6.00000 | −0.290701 | ||||||||
\(427\) | − | 11.0000i | − | 0.532327i | ||||||
\(428\) | 2.00000 | 0.0966736 | ||||||||
\(429\) | 2.00000 | − | 3.00000i | 0.0965609 | − | 0.144841i | ||||
\(430\) | 7.00000 | 0.337570 | ||||||||
\(431\) | − | 18.0000i | − | 0.867029i | −0.901146 | − | 0.433515i | \(-0.857273\pi\) | ||
0.901146 | − | 0.433515i | \(-0.142727\pi\) | |||||||
\(432\) | −1.00000 | −0.0481125 | ||||||||
\(433\) | 4.00000 | 0.192228 | 0.0961139 | − | 0.995370i | \(-0.469359\pi\) | ||||
0.0961139 | + | 0.995370i | \(0.469359\pi\) | |||||||
\(434\) | 4.00000i | 0.192006i | ||||||||
\(435\) | − | 9.00000i | − | 0.431517i | ||||||
\(436\) | − | 7.00000i | − | 0.335239i | ||||||
\(437\) | − | 3.00000i | − | 0.143509i | ||||||
\(438\) | −11.0000 | −0.525600 | ||||||||
\(439\) | −33.0000 | −1.57500 | −0.787502 | − | 0.616312i | \(-0.788626\pi\) | ||||
−0.787502 | + | 0.616312i | \(0.788626\pi\) | |||||||
\(440\) | − | 1.00000i | − | 0.0476731i | ||||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | 2.00000 | − | 3.00000i | 0.0951303 | − | 0.142695i | ||||
\(443\) | −6.00000 | −0.285069 | −0.142534 | − | 0.989790i | \(-0.545525\pi\) | ||||
−0.142534 | + | 0.989790i | \(0.545525\pi\) | |||||||
\(444\) | − | 9.00000i | − | 0.427121i | ||||||
\(445\) | −12.0000 | −0.568855 | ||||||||
\(446\) | −8.00000 | −0.378811 | ||||||||
\(447\) | − | 6.00000i | − | 0.283790i | ||||||
\(448\) | 1.00000i | 0.0472456i | ||||||||
\(449\) | − | 15.0000i | − | 0.707894i | −0.935266 | − | 0.353947i | \(-0.884839\pi\) | ||
0.935266 | − | 0.353947i | \(-0.115161\pi\) | |||||||
\(450\) | − | 4.00000i | − | 0.188562i | ||||||
\(451\) | −8.00000 | −0.376705 | ||||||||
\(452\) | 2.00000 | 0.0940721 | ||||||||
\(453\) | − | 1.00000i | − | 0.0469841i | ||||||
\(454\) | −12.0000 | −0.563188 | ||||||||
\(455\) | 3.00000 | + | 2.00000i | 0.140642 | + | 0.0937614i | ||||
\(456\) | −1.00000 | −0.0468293 | ||||||||
\(457\) | 4.00000i | 0.187112i | 0.995614 | + | 0.0935561i | \(0.0298234\pi\) | ||||
−0.995614 | + | 0.0935561i | \(0.970177\pi\) | |||||||
\(458\) | 2.00000 | 0.0934539 | ||||||||
\(459\) | −1.00000 | −0.0466760 | ||||||||
\(460\) | − | 3.00000i | − | 0.139876i | ||||||
\(461\) | 3.00000i | 0.139724i | 0.997557 | + | 0.0698620i | \(0.0222559\pi\) | ||||
−0.997557 | + | 0.0698620i | \(0.977744\pi\) | |||||||
\(462\) | 1.00000i | 0.0465242i | ||||||||
\(463\) | 29.0000i | 1.34774i | 0.738848 | + | 0.673872i | \(0.235370\pi\) | ||||
−0.738848 | + | 0.673872i | \(0.764630\pi\) | |||||||
\(464\) | 9.00000 | 0.417815 | ||||||||
\(465\) | −4.00000 | −0.185496 | ||||||||
\(466\) | 18.0000i | 0.833834i | ||||||||
\(467\) | −37.0000 | −1.71216 | −0.856078 | − | 0.516847i | \(-0.827106\pi\) | ||||
−0.856078 | + | 0.516847i | \(0.827106\pi\) | |||||||
\(468\) | −3.00000 | − | 2.00000i | −0.138675 | − | 0.0924500i | ||||
\(469\) | −12.0000 | −0.554109 | ||||||||
\(470\) | 8.00000i | 0.369012i | ||||||||
\(471\) | 21.0000 | 0.967629 | ||||||||
\(472\) | 6.00000 | 0.276172 | ||||||||
\(473\) | 7.00000i | 0.321860i | ||||||||
\(474\) | − | 12.0000i | − | 0.551178i | ||||||
\(475\) | − | 4.00000i | − | 0.183533i | ||||||
\(476\) | 1.00000i | 0.0458349i | ||||||||
\(477\) | −10.0000 | −0.457869 | ||||||||
\(478\) | −8.00000 | −0.365911 | ||||||||
\(479\) | 39.0000i | 1.78196i | 0.454047 | + | 0.890978i | \(0.349980\pi\) | ||||
−0.454047 | + | 0.890978i | \(0.650020\pi\) | |||||||
\(480\) | −1.00000 | −0.0456435 | ||||||||
\(481\) | 18.0000 | − | 27.0000i | 0.820729 | − | 1.23109i | ||||
\(482\) | 10.0000 | 0.455488 | ||||||||
\(483\) | 3.00000i | 0.136505i | ||||||||
\(484\) | −10.0000 | −0.454545 | ||||||||
\(485\) | 2.00000 | 0.0908153 | ||||||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | 32.0000i | 1.45006i | 0.688718 | + | 0.725029i | \(0.258174\pi\) | ||||
−0.688718 | + | 0.725029i | \(0.741826\pi\) | |||||||
\(488\) | 11.0000i | 0.497947i | ||||||||
\(489\) | 20.0000i | 0.904431i | ||||||||
\(490\) | −1.00000 | −0.0451754 | ||||||||
\(491\) | 12.0000 | 0.541552 | 0.270776 | − | 0.962642i | \(-0.412720\pi\) | ||||
0.270776 | + | 0.962642i | \(0.412720\pi\) | |||||||
\(492\) | 8.00000i | 0.360668i | ||||||||
\(493\) | 9.00000 | 0.405340 | ||||||||
\(494\) | −3.00000 | − | 2.00000i | −0.134976 | − | 0.0899843i | ||||
\(495\) | −1.00000 | −0.0449467 | ||||||||
\(496\) | − | 4.00000i | − | 0.179605i | ||||||
\(497\) | 6.00000 | 0.269137 | ||||||||
\(498\) | −6.00000 | −0.268866 | ||||||||
\(499\) | − | 10.0000i | − | 0.447661i | −0.974628 | − | 0.223831i | \(-0.928144\pi\) | ||
0.974628 | − | 0.223831i | \(-0.0718563\pi\) | |||||||
\(500\) | − | 9.00000i | − | 0.402492i | ||||||
\(501\) | 11.0000i | 0.491444i | ||||||||
\(502\) | − | 11.0000i | − | 0.490954i | ||||||
\(503\) | −38.0000 | −1.69434 | −0.847168 | − | 0.531325i | \(-0.821694\pi\) | ||||
−0.847168 | + | 0.531325i | \(0.821694\pi\) | |||||||
\(504\) | 1.00000 | 0.0445435 | ||||||||
\(505\) | − | 2.00000i | − | 0.0889988i | ||||||
\(506\) | 3.00000 | 0.133366 | ||||||||
\(507\) | −5.00000 | − | 12.0000i | −0.222058 | − | 0.532939i | ||||
\(508\) | −16.0000 | −0.709885 | ||||||||
\(509\) | − | 37.0000i | − | 1.64000i | −0.572366 | − | 0.819998i | \(-0.693974\pi\) | ||
0.572366 | − | 0.819998i | \(-0.306026\pi\) | |||||||
\(510\) | −1.00000 | −0.0442807 | ||||||||
\(511\) | 11.0000 | 0.486611 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 1.00000i | 0.0441511i | ||||||||
\(514\) | − | 14.0000i | − | 0.617514i | ||||||
\(515\) | − | 5.00000i | − | 0.220326i | ||||||
\(516\) | 7.00000 | 0.308158 | ||||||||
\(517\) | −8.00000 | −0.351840 | ||||||||
\(518\) | 9.00000i | 0.395437i | ||||||||
\(519\) | −14.0000 | −0.614532 | ||||||||
\(520\) | −3.00000 | − | 2.00000i | −0.131559 | − | 0.0877058i | ||||
\(521\) | −31.0000 | −1.35813 | −0.679067 | − | 0.734076i | \(-0.737616\pi\) | ||||
−0.679067 | + | 0.734076i | \(0.737616\pi\) | |||||||
\(522\) | − | 9.00000i | − | 0.393919i | ||||||
\(523\) | −36.0000 | −1.57417 | −0.787085 | − | 0.616844i | \(-0.788411\pi\) | ||||
−0.787085 | + | 0.616844i | \(0.788411\pi\) | |||||||
\(524\) | 3.00000 | 0.131056 | ||||||||
\(525\) | 4.00000i | 0.174574i | ||||||||
\(526\) | − | 16.0000i | − | 0.697633i | ||||||
\(527\) | − | 4.00000i | − | 0.174243i | ||||||
\(528\) | − | 1.00000i | − | 0.0435194i | ||||||
\(529\) | −14.0000 | −0.608696 | ||||||||
\(530\) | −10.0000 | −0.434372 | ||||||||
\(531\) | − | 6.00000i | − | 0.260378i | ||||||
\(532\) | 1.00000 | 0.0433555 | ||||||||
\(533\) | −16.0000 | + | 24.0000i | −0.693037 | + | 1.03956i | ||||
\(534\) | −12.0000 | −0.519291 | ||||||||
\(535\) | − | 2.00000i | − | 0.0864675i | ||||||
\(536\) | 12.0000 | 0.518321 | ||||||||
\(537\) | 18.0000 | 0.776757 | ||||||||
\(538\) | 20.0000i | 0.862261i | ||||||||
\(539\) | − | 1.00000i | − | 0.0430730i | ||||||
\(540\) | 1.00000i | 0.0430331i | ||||||||
\(541\) | 41.0000i | 1.76273i | 0.472438 | + | 0.881364i | \(0.343374\pi\) | ||||
−0.472438 | + | 0.881364i | \(0.656626\pi\) | |||||||
\(542\) | −4.00000 | −0.171815 | ||||||||
\(543\) | 2.00000 | 0.0858282 | ||||||||
\(544\) | − | 1.00000i | − | 0.0428746i | ||||||
\(545\) | −7.00000 | −0.299847 | ||||||||
\(546\) | 3.00000 | + | 2.00000i | 0.128388 | + | 0.0855921i | ||||
\(547\) | −28.0000 | −1.19719 | −0.598597 | − | 0.801050i | \(-0.704275\pi\) | ||||
−0.598597 | + | 0.801050i | \(0.704275\pi\) | |||||||
\(548\) | 15.0000i | 0.640768i | ||||||||
\(549\) | 11.0000 | 0.469469 | ||||||||
\(550\) | 4.00000 | 0.170561 | ||||||||
\(551\) | − | 9.00000i | − | 0.383413i | ||||||
\(552\) | − | 3.00000i | − | 0.127688i | ||||||
\(553\) | 12.0000i | 0.510292i | ||||||||
\(554\) | − | 16.0000i | − | 0.679775i | ||||||
\(555\) | −9.00000 | −0.382029 | ||||||||
\(556\) | 12.0000 | 0.508913 | ||||||||
\(557\) | − | 2.00000i | − | 0.0847427i | −0.999102 | − | 0.0423714i | \(-0.986509\pi\) | ||
0.999102 | − | 0.0423714i | \(-0.0134913\pi\) | |||||||
\(558\) | −4.00000 | −0.169334 | ||||||||
\(559\) | 21.0000 | + | 14.0000i | 0.888205 | + | 0.592137i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | − | 1.00000i | − | 0.0422200i | ||||||
\(562\) | −22.0000 | −0.928014 | ||||||||
\(563\) | 11.0000 | 0.463595 | 0.231797 | − | 0.972764i | \(-0.425539\pi\) | ||||
0.231797 | + | 0.972764i | \(0.425539\pi\) | |||||||
\(564\) | 8.00000i | 0.336861i | ||||||||
\(565\) | − | 2.00000i | − | 0.0841406i | ||||||
\(566\) | 14.0000i | 0.588464i | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | −6.00000 | −0.251754 | ||||||||
\(569\) | −30.0000 | −1.25767 | −0.628833 | − | 0.777541i | \(-0.716467\pi\) | ||||
−0.628833 | + | 0.777541i | \(0.716467\pi\) | |||||||
\(570\) | 1.00000i | 0.0418854i | ||||||||
\(571\) | 32.0000 | 1.33916 | 0.669579 | − | 0.742741i | \(-0.266474\pi\) | ||||
0.669579 | + | 0.742741i | \(0.266474\pi\) | |||||||
\(572\) | 2.00000 | − | 3.00000i | 0.0836242 | − | 0.125436i | ||||
\(573\) | 11.0000 | 0.459532 | ||||||||
\(574\) | − | 8.00000i | − | 0.333914i | ||||||
\(575\) | 12.0000 | 0.500435 | ||||||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | − | 18.0000i | − | 0.749350i | −0.927156 | − | 0.374675i | \(-0.877754\pi\) | ||
0.927156 | − | 0.374675i | \(-0.122246\pi\) | |||||||
\(578\) | 16.0000i | 0.665512i | ||||||||
\(579\) | 12.0000i | 0.498703i | ||||||||
\(580\) | − | 9.00000i | − | 0.373705i | ||||||
\(581\) | 6.00000 | 0.248922 | ||||||||
\(582\) | 2.00000 | 0.0829027 | ||||||||
\(583\) | − | 10.0000i | − | 0.414158i | ||||||
\(584\) | −11.0000 | −0.455183 | ||||||||
\(585\) | −2.00000 | + | 3.00000i | −0.0826898 | + | 0.124035i | ||||
\(586\) | −26.0000 | −1.07405 | ||||||||
\(587\) | − | 16.0000i | − | 0.660391i | −0.943913 | − | 0.330195i | \(-0.892885\pi\) | ||
0.943913 | − | 0.330195i | \(-0.107115\pi\) | |||||||
\(588\) | −1.00000 | −0.0412393 | ||||||||
\(589\) | −4.00000 | −0.164817 | ||||||||
\(590\) | − | 6.00000i | − | 0.247016i | ||||||
\(591\) | 2.00000i | 0.0822690i | ||||||||
\(592\) | − | 9.00000i | − | 0.369898i | ||||||
\(593\) | − | 28.0000i | − | 1.14982i | −0.818216 | − | 0.574911i | \(-0.805037\pi\) | ||
0.818216 | − | 0.574911i | \(-0.194963\pi\) | |||||||
\(594\) | −1.00000 | −0.0410305 | ||||||||
\(595\) | 1.00000 | 0.0409960 | ||||||||
\(596\) | − | 6.00000i | − | 0.245770i | ||||||
\(597\) | −5.00000 | −0.204636 | ||||||||
\(598\) | 6.00000 | − | 9.00000i | 0.245358 | − | 0.368037i | ||||
\(599\) | 39.0000 | 1.59350 | 0.796748 | − | 0.604311i | \(-0.206552\pi\) | ||||
0.796748 | + | 0.604311i | \(0.206552\pi\) | |||||||
\(600\) | − | 4.00000i | − | 0.163299i | ||||||
\(601\) | −16.0000 | −0.652654 | −0.326327 | − | 0.945257i | \(-0.605811\pi\) | ||||
−0.326327 | + | 0.945257i | \(0.605811\pi\) | |||||||
\(602\) | −7.00000 | −0.285299 | ||||||||
\(603\) | − | 12.0000i | − | 0.488678i | ||||||
\(604\) | − | 1.00000i | − | 0.0406894i | ||||||
\(605\) | 10.0000i | 0.406558i | ||||||||
\(606\) | − | 2.00000i | − | 0.0812444i | ||||||
\(607\) | 1.00000 | 0.0405887 | 0.0202944 | − | 0.999794i | \(-0.493540\pi\) | ||||
0.0202944 | + | 0.999794i | \(0.493540\pi\) | |||||||
\(608\) | −1.00000 | −0.0405554 | ||||||||
\(609\) | 9.00000i | 0.364698i | ||||||||
\(610\) | 11.0000 | 0.445377 | ||||||||
\(611\) | −16.0000 | + | 24.0000i | −0.647291 | + | 0.970936i | ||||
\(612\) | −1.00000 | −0.0404226 | ||||||||
\(613\) | − | 17.0000i | − | 0.686624i | −0.939222 | − | 0.343312i | \(-0.888451\pi\) | ||
0.939222 | − | 0.343312i | \(-0.111549\pi\) | |||||||
\(614\) | −8.00000 | −0.322854 | ||||||||
\(615\) | 8.00000 | 0.322591 | ||||||||
\(616\) | 1.00000i | 0.0402911i | ||||||||
\(617\) | − | 19.0000i | − | 0.764911i | −0.923974 | − | 0.382456i | \(-0.875078\pi\) | ||
0.923974 | − | 0.382456i | \(-0.124922\pi\) | |||||||
\(618\) | − | 5.00000i | − | 0.201129i | ||||||
\(619\) | 21.0000i | 0.844061i | 0.906582 | + | 0.422031i | \(0.138683\pi\) | ||||
−0.906582 | + | 0.422031i | \(0.861317\pi\) | |||||||
\(620\) | −4.00000 | −0.160644 | ||||||||
\(621\) | −3.00000 | −0.120386 | ||||||||
\(622\) | − | 8.00000i | − | 0.320771i | ||||||
\(623\) | 12.0000 | 0.480770 | ||||||||
\(624\) | −3.00000 | − | 2.00000i | −0.120096 | − | 0.0800641i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 14.0000i | 0.559553i | ||||||||
\(627\) | −1.00000 | −0.0399362 | ||||||||
\(628\) | 21.0000 | 0.837991 | ||||||||
\(629\) | − | 9.00000i | − | 0.358854i | ||||||
\(630\) | − | 1.00000i | − | 0.0398410i | ||||||
\(631\) | 29.0000i | 1.15447i | 0.816577 | + | 0.577236i | \(0.195869\pi\) | ||||
−0.816577 | + | 0.577236i | \(0.804131\pi\) | |||||||
\(632\) | − | 12.0000i | − | 0.477334i | ||||||
\(633\) | 5.00000 | 0.198732 | ||||||||
\(634\) | −12.0000 | −0.476581 | ||||||||
\(635\) | 16.0000i | 0.634941i | ||||||||
\(636\) | −10.0000 | −0.396526 | ||||||||
\(637\) | −3.00000 | − | 2.00000i | −0.118864 | − | 0.0792429i | ||||
\(638\) | 9.00000 | 0.356313 | ||||||||
\(639\) | 6.00000i | 0.237356i | ||||||||
\(640\) | −1.00000 | −0.0395285 | ||||||||
\(641\) | −44.0000 | −1.73790 | −0.868948 | − | 0.494904i | \(-0.835203\pi\) | ||||
−0.868948 | + | 0.494904i | \(0.835203\pi\) | |||||||
\(642\) | − | 2.00000i | − | 0.0789337i | ||||||
\(643\) | − | 19.0000i | − | 0.749287i | −0.927169 | − | 0.374643i | \(-0.877765\pi\) | ||
0.927169 | − | 0.374643i | \(-0.122235\pi\) | |||||||
\(644\) | 3.00000i | 0.118217i | ||||||||
\(645\) | − | 7.00000i | − | 0.275625i | ||||||
\(646\) | −1.00000 | −0.0393445 | ||||||||
\(647\) | 42.0000 | 1.65119 | 0.825595 | − | 0.564263i | \(-0.190840\pi\) | ||||
0.825595 | + | 0.564263i | \(0.190840\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | 6.00000 | 0.235521 | ||||||||
\(650\) | 8.00000 | − | 12.0000i | 0.313786 | − | 0.470679i | ||||
\(651\) | 4.00000 | 0.156772 | ||||||||
\(652\) | 20.0000i | 0.783260i | ||||||||
\(653\) | −13.0000 | −0.508729 | −0.254365 | − | 0.967108i | \(-0.581866\pi\) | ||||
−0.254365 | + | 0.967108i | \(0.581866\pi\) | |||||||
\(654\) | −7.00000 | −0.273722 | ||||||||
\(655\) | − | 3.00000i | − | 0.117220i | ||||||
\(656\) | 8.00000i | 0.312348i | ||||||||
\(657\) | 11.0000i | 0.429151i | ||||||||
\(658\) | − | 8.00000i | − | 0.311872i | ||||||
\(659\) | −30.0000 | −1.16863 | −0.584317 | − | 0.811525i | \(-0.698638\pi\) | ||||
−0.584317 | + | 0.811525i | \(0.698638\pi\) | |||||||
\(660\) | −1.00000 | −0.0389249 | ||||||||
\(661\) | 26.0000i | 1.01128i | 0.862744 | + | 0.505641i | \(0.168744\pi\) | ||||
−0.862744 | + | 0.505641i | \(0.831256\pi\) | |||||||
\(662\) | −8.00000 | −0.310929 | ||||||||
\(663\) | −3.00000 | − | 2.00000i | −0.116510 | − | 0.0776736i | ||||
\(664\) | −6.00000 | −0.232845 | ||||||||
\(665\) | − | 1.00000i | − | 0.0387783i | ||||||
\(666\) | −9.00000 | −0.348743 | ||||||||
\(667\) | 27.0000 | 1.04544 | ||||||||
\(668\) | 11.0000i | 0.425603i | ||||||||
\(669\) | 8.00000i | 0.309298i | ||||||||
\(670\) | − | 12.0000i | − | 0.463600i | ||||||
\(671\) | 11.0000i | 0.424650i | ||||||||
\(672\) | 1.00000 | 0.0385758 | ||||||||
\(673\) | 29.0000 | 1.11787 | 0.558934 | − | 0.829212i | \(-0.311211\pi\) | ||||
0.558934 | + | 0.829212i | \(0.311211\pi\) | |||||||
\(674\) | − | 17.0000i | − | 0.654816i | ||||||
\(675\) | −4.00000 | −0.153960 | ||||||||
\(676\) | −5.00000 | − | 12.0000i | −0.192308 | − | 0.461538i | ||||
\(677\) | 32.0000 | 1.22986 | 0.614930 | − | 0.788582i | \(-0.289184\pi\) | ||||
0.614930 | + | 0.788582i | \(0.289184\pi\) | |||||||
\(678\) | − | 2.00000i | − | 0.0768095i | ||||||
\(679\) | −2.00000 | −0.0767530 | ||||||||
\(680\) | −1.00000 | −0.0383482 | ||||||||
\(681\) | 12.0000i | 0.459841i | ||||||||
\(682\) | − | 4.00000i | − | 0.153168i | ||||||
\(683\) | 19.0000i | 0.727015i | 0.931591 | + | 0.363507i | \(0.118421\pi\) | ||||
−0.931591 | + | 0.363507i | \(0.881579\pi\) | |||||||
\(684\) | 1.00000i | 0.0382360i | ||||||||
\(685\) | 15.0000 | 0.573121 | ||||||||
\(686\) | 1.00000 | 0.0381802 | ||||||||
\(687\) | − | 2.00000i | − | 0.0763048i | ||||||
\(688\) | 7.00000 | 0.266872 | ||||||||
\(689\) | −30.0000 | − | 20.0000i | −1.14291 | − | 0.761939i | ||||
\(690\) | −3.00000 | −0.114208 | ||||||||
\(691\) | − | 40.0000i | − | 1.52167i | −0.648944 | − | 0.760836i | \(-0.724789\pi\) | ||
0.648944 | − | 0.760836i | \(-0.275211\pi\) | |||||||
\(692\) | −14.0000 | −0.532200 | ||||||||
\(693\) | 1.00000 | 0.0379869 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 12.0000i | − | 0.455186i | ||||||
\(696\) | − | 9.00000i | − | 0.341144i | ||||||
\(697\) | 8.00000i | 0.303022i | ||||||||
\(698\) | −4.00000 | −0.151402 | ||||||||
\(699\) | 18.0000 | 0.680823 | ||||||||
\(700\) | 4.00000i | 0.151186i | ||||||||
\(701\) | −30.0000 | −1.13308 | −0.566542 | − | 0.824033i | \(-0.691719\pi\) | ||||
−0.566542 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(702\) | −2.00000 | + | 3.00000i | −0.0754851 | + | 0.113228i | ||||
\(703\) | −9.00000 | −0.339441 | ||||||||
\(704\) | − | 1.00000i | − | 0.0376889i | ||||||
\(705\) | 8.00000 | 0.301297 | ||||||||
\(706\) | −16.0000 | −0.602168 | ||||||||
\(707\) | 2.00000i | 0.0752177i | ||||||||
\(708\) | − | 6.00000i | − | 0.225494i | ||||||
\(709\) | − | 14.0000i | − | 0.525781i | −0.964826 | − | 0.262891i | \(-0.915324\pi\) | ||
0.964826 | − | 0.262891i | \(-0.0846758\pi\) | |||||||
\(710\) | 6.00000i | 0.225176i | ||||||||
\(711\) | −12.0000 | −0.450035 | ||||||||
\(712\) | −12.0000 | −0.449719 | ||||||||
\(713\) | − | 12.0000i | − | 0.449404i | ||||||
\(714\) | 1.00000 | 0.0374241 | ||||||||
\(715\) | −3.00000 | − | 2.00000i | −0.112194 | − | 0.0747958i | ||||
\(716\) | 18.0000 | 0.672692 | ||||||||
\(717\) | 8.00000i | 0.298765i | ||||||||
\(718\) | 30.0000 | 1.11959 | ||||||||
\(719\) | −8.00000 | −0.298350 | −0.149175 | − | 0.988811i | \(-0.547662\pi\) | ||||
−0.149175 | + | 0.988811i | \(0.547662\pi\) | |||||||
\(720\) | 1.00000i | 0.0372678i | ||||||||
\(721\) | 5.00000i | 0.186210i | ||||||||
\(722\) | − | 18.0000i | − | 0.669891i | ||||||
\(723\) | − | 10.0000i | − | 0.371904i | ||||||
\(724\) | 2.00000 | 0.0743294 | ||||||||
\(725\) | 36.0000 | 1.33701 | ||||||||
\(726\) | 10.0000i | 0.371135i | ||||||||
\(727\) | 23.0000 | 0.853023 | 0.426511 | − | 0.904482i | \(-0.359742\pi\) | ||||
0.426511 | + | 0.904482i | \(0.359742\pi\) | |||||||
\(728\) | 3.00000 | + | 2.00000i | 0.111187 | + | 0.0741249i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 11.0000i | 0.407128i | ||||||||
\(731\) | 7.00000 | 0.258904 | ||||||||
\(732\) | 11.0000 | 0.406572 | ||||||||
\(733\) | − | 40.0000i | − | 1.47743i | −0.674016 | − | 0.738717i | \(-0.735432\pi\) | ||
0.674016 | − | 0.738717i | \(-0.264568\pi\) | |||||||
\(734\) | 8.00000i | 0.295285i | ||||||||
\(735\) | 1.00000i | 0.0368856i | ||||||||
\(736\) | − | 3.00000i | − | 0.110581i | ||||||
\(737\) | 12.0000 | 0.442026 | ||||||||
\(738\) | 8.00000 | 0.294484 | ||||||||
\(739\) | 8.00000i | 0.294285i | 0.989115 | + | 0.147142i | \(0.0470076\pi\) | ||||
−0.989115 | + | 0.147142i | \(0.952992\pi\) | |||||||
\(740\) | −9.00000 | −0.330847 | ||||||||
\(741\) | −2.00000 | + | 3.00000i | −0.0734718 | + | 0.110208i | ||||
\(742\) | 10.0000 | 0.367112 | ||||||||
\(743\) | − | 36.0000i | − | 1.32071i | −0.750953 | − | 0.660356i | \(-0.770405\pi\) | ||
0.750953 | − | 0.660356i | \(-0.229595\pi\) | |||||||
\(744\) | −4.00000 | −0.146647 | ||||||||
\(745\) | −6.00000 | −0.219823 | ||||||||
\(746\) | 14.0000i | 0.512576i | ||||||||
\(747\) | 6.00000i | 0.219529i | ||||||||
\(748\) | − | 1.00000i | − | 0.0365636i | ||||||
\(749\) | 2.00000i | 0.0730784i | ||||||||
\(750\) | −9.00000 | −0.328634 | ||||||||
\(751\) | 20.0000 | 0.729810 | 0.364905 | − | 0.931045i | \(-0.381101\pi\) | ||||
0.364905 | + | 0.931045i | \(0.381101\pi\) | |||||||
\(752\) | 8.00000i | 0.291730i | ||||||||
\(753\) | −11.0000 | −0.400862 | ||||||||
\(754\) | 18.0000 | − | 27.0000i | 0.655521 | − | 0.983282i | ||||
\(755\) | −1.00000 | −0.0363937 | ||||||||
\(756\) | − | 1.00000i | − | 0.0363696i | ||||||
\(757\) | 38.0000 | 1.38113 | 0.690567 | − | 0.723269i | \(-0.257361\pi\) | ||||
0.690567 | + | 0.723269i | \(0.257361\pi\) | |||||||
\(758\) | 16.0000 | 0.581146 | ||||||||
\(759\) | − | 3.00000i | − | 0.108893i | ||||||
\(760\) | 1.00000i | 0.0362738i | ||||||||
\(761\) | − | 42.0000i | − | 1.52250i | −0.648459 | − | 0.761249i | \(-0.724586\pi\) | ||
0.648459 | − | 0.761249i | \(-0.275414\pi\) | |||||||
\(762\) | 16.0000i | 0.579619i | ||||||||
\(763\) | 7.00000 | 0.253417 | ||||||||
\(764\) | 11.0000 | 0.397966 | ||||||||
\(765\) | 1.00000i | 0.0361551i | ||||||||
\(766\) | 35.0000 | 1.26460 | ||||||||
\(767\) | 12.0000 | − | 18.0000i | 0.433295 | − | 0.649942i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 31.0000i | 1.11789i | 0.829205 | + | 0.558944i | \(0.188793\pi\) | ||||
−0.829205 | + | 0.558944i | \(0.811207\pi\) | |||||||
\(770\) | 1.00000 | 0.0360375 | ||||||||
\(771\) | −14.0000 | −0.504198 | ||||||||
\(772\) | 12.0000i | 0.431889i | ||||||||
\(773\) | 19.0000i | 0.683383i | 0.939812 | + | 0.341691i | \(0.111000\pi\) | ||||
−0.939812 | + | 0.341691i | \(0.889000\pi\) | |||||||
\(774\) | − | 7.00000i | − | 0.251610i | ||||||
\(775\) | − | 16.0000i | − | 0.574737i | ||||||
\(776\) | 2.00000 | 0.0717958 | ||||||||
\(777\) | 9.00000 | 0.322873 | ||||||||
\(778\) | − | 2.00000i | − | 0.0717035i | ||||||
\(779\) | 8.00000 | 0.286630 | ||||||||
\(780\) | −2.00000 | + | 3.00000i | −0.0716115 | + | 0.107417i | ||||
\(781\) | −6.00000 | −0.214697 | ||||||||
\(782\) | − | 3.00000i | − | 0.107280i | ||||||
\(783\) | −9.00000 | −0.321634 | ||||||||
\(784\) | −1.00000 | −0.0357143 |