Properties

Label 3267.1.be.a.2810.1
Level $3267$
Weight $1$
Character 3267.2810
Analytic conductor $1.630$
Analytic rank $0$
Dimension $24$
Projective image $D_{18}$
CM discriminant -11
Inner twists $16$

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Newspace parameters

Level: \( N \) \(=\) \( 3267 = 3^{3} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3267.be (of order \(90\), degree \(24\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.63044539627\)
Analytic rank: \(0\)
Dimension: \(24\)
Coefficient field: \(\Q(\zeta_{45})\)
Defining polynomial: \( x^{24} - x^{21} + x^{15} - x^{12} + x^{9} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Projective image: \(D_{18}\)
Projective field: Galois closure of \(\mathbb{Q}[x]/(x^{18} - \cdots)\)

Embedding invariants

Embedding label 2810.1
Root \(-0.241922 - 0.970296i\) of defining polynomial
Character \(\chi\) \(=\) 3267.2810
Dual form 3267.1.be.a.2066.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.438371 + 0.898794i) q^{3} +(0.961262 - 0.275637i) q^{4} +(0.634231 - 0.256246i) q^{5} +(-0.615661 - 0.788011i) q^{9} +O(q^{10})\) \(q+(-0.438371 + 0.898794i) q^{3} +(0.961262 - 0.275637i) q^{4} +(0.634231 - 0.256246i) q^{5} +(-0.615661 - 0.788011i) q^{9} +(-0.173648 + 0.984808i) q^{12} +(-0.0477162 + 0.682374i) q^{15} +(0.848048 - 0.529919i) q^{16} +(0.539031 - 0.421137i) q^{20} +(0.592396 - 1.62760i) q^{23} +(-0.382753 + 0.369620i) q^{25} +(0.978148 - 0.207912i) q^{27} +(-0.0121205 + 0.347085i) q^{31} +(-0.809017 - 0.587785i) q^{36} +(1.71690 + 0.764415i) q^{37} +(-0.592396 - 0.342020i) q^{45} +(-0.354353 + 1.23577i) q^{47} +(0.104528 + 0.994522i) q^{48} +(0.374607 + 0.927184i) q^{49} +(1.87322 - 0.608645i) q^{53} +(-1.91111 - 0.476493i) q^{59} +(0.142220 + 0.669092i) q^{60} +(0.669131 - 0.743145i) q^{64} +(-0.0603074 - 0.342020i) q^{67} +(1.20318 + 1.24593i) q^{69} +(-0.267286 - 1.25748i) q^{71} +(-0.164425 - 0.506047i) q^{75} +(0.402069 - 0.553400i) q^{80} +(-0.241922 + 0.970296i) q^{81} +(-1.50000 - 0.866025i) q^{89} +(0.120822 - 1.72783i) q^{92} +(-0.306644 - 0.163046i) q^{93} +(-0.573931 + 1.42053i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 3 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 3 q^{5} + 3 q^{15} + 6 q^{20} + 3 q^{25} - 3 q^{27} - 3 q^{31} - 6 q^{36} - 3 q^{47} - 3 q^{48} - 3 q^{59} + 3 q^{64} - 24 q^{67} - 6 q^{75} - 36 q^{89} - 6 q^{93} - 6 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/3267\mathbb{Z}\right)^\times\).

\(n\) \(244\) \(3026\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{1}{18}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0 0 0.990268 0.139173i \(-0.0444444\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(3\) −0.438371 + 0.898794i −0.438371 + 0.898794i
\(4\) 0.961262 0.275637i 0.961262 0.275637i
\(5\) 0.634231 0.256246i 0.634231 0.256246i −0.0348995 0.999391i \(-0.511111\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(6\) 0 0
\(7\) 0 0 −0.829038 0.559193i \(-0.811111\pi\)
0.829038 + 0.559193i \(0.188889\pi\)
\(8\) 0 0
\(9\) −0.615661 0.788011i −0.615661 0.788011i
\(10\) 0 0
\(11\) 0 0
\(12\) −0.173648 + 0.984808i −0.173648 + 0.984808i
\(13\) 0 0 −0.469472 0.882948i \(-0.655556\pi\)
0.469472 + 0.882948i \(0.344444\pi\)
\(14\) 0 0
\(15\) −0.0477162 + 0.682374i −0.0477162 + 0.682374i
\(16\) 0.848048 0.529919i 0.848048 0.529919i
\(17\) 0 0 0.978148 0.207912i \(-0.0666667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(18\) 0 0
\(19\) 0 0 −0.406737 0.913545i \(-0.633333\pi\)
0.406737 + 0.913545i \(0.366667\pi\)
\(20\) 0.539031 0.421137i 0.539031 0.421137i
\(21\) 0 0
\(22\) 0 0
\(23\) 0.592396 1.62760i 0.592396 1.62760i −0.173648 0.984808i \(-0.555556\pi\)
0.766044 0.642788i \(-0.222222\pi\)
\(24\) 0 0
\(25\) −0.382753 + 0.369620i −0.382753 + 0.369620i
\(26\) 0 0
\(27\) 0.978148 0.207912i 0.978148 0.207912i
\(28\) 0 0
\(29\) 0 0 −0.438371 0.898794i \(-0.644444\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(30\) 0 0
\(31\) −0.0121205 + 0.347085i −0.0121205 + 0.347085i 0.978148 + 0.207912i \(0.0666667\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(32\) 0 0
\(33\) 0 0
\(34\) 0 0
\(35\) 0 0
\(36\) −0.809017 0.587785i −0.809017 0.587785i
\(37\) 1.71690 + 0.764415i 1.71690 + 0.764415i 0.997564 + 0.0697565i \(0.0222222\pi\)
0.719340 + 0.694658i \(0.244444\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0 0
\(41\) 0 0 0.438371 0.898794i \(-0.355556\pi\)
−0.438371 + 0.898794i \(0.644444\pi\)
\(42\) 0 0
\(43\) 0 0 0.642788 0.766044i \(-0.277778\pi\)
−0.642788 + 0.766044i \(0.722222\pi\)
\(44\) 0 0
\(45\) −0.592396 0.342020i −0.592396 0.342020i
\(46\) 0 0
\(47\) −0.354353 + 1.23577i −0.354353 + 1.23577i 0.559193 + 0.829038i \(0.311111\pi\)
−0.913545 + 0.406737i \(0.866667\pi\)
\(48\) 0.104528 + 0.994522i 0.104528 + 0.994522i
\(49\) 0.374607 + 0.927184i 0.374607 + 0.927184i
\(50\) 0 0
\(51\) 0 0
\(52\) 0 0
\(53\) 1.87322 0.608645i 1.87322 0.608645i 0.882948 0.469472i \(-0.155556\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(54\) 0 0
\(55\) 0 0
\(56\) 0 0
\(57\) 0 0
\(58\) 0 0
\(59\) −1.91111 0.476493i −1.91111 0.476493i −0.997564 0.0697565i \(-0.977778\pi\)
−0.913545 0.406737i \(-0.866667\pi\)
\(60\) 0.142220 + 0.669092i 0.142220 + 0.669092i
\(61\) 0 0 0.999391 0.0348995i \(-0.0111111\pi\)
−0.999391 + 0.0348995i \(0.988889\pi\)
\(62\) 0 0
\(63\) 0 0
\(64\) 0.669131 0.743145i 0.669131 0.743145i
\(65\) 0 0
\(66\) 0 0
\(67\) −0.0603074 0.342020i −0.0603074 0.342020i 0.939693 0.342020i \(-0.111111\pi\)
−1.00000 \(\pi\)
\(68\) 0 0
\(69\) 1.20318 + 1.24593i 1.20318 + 1.24593i
\(70\) 0 0
\(71\) −0.267286 1.25748i −0.267286 1.25748i −0.882948 0.469472i \(-0.844444\pi\)
0.615661 0.788011i \(-0.288889\pi\)
\(72\) 0 0
\(73\) 0 0 0.994522 0.104528i \(-0.0333333\pi\)
−0.994522 + 0.104528i \(0.966667\pi\)
\(74\) 0 0
\(75\) −0.164425 0.506047i −0.164425 0.506047i
\(76\) 0 0
\(77\) 0 0
\(78\) 0 0
\(79\) 0 0 −0.139173 0.990268i \(-0.544444\pi\)
0.139173 + 0.990268i \(0.455556\pi\)
\(80\) 0.402069 0.553400i 0.402069 0.553400i
\(81\) −0.241922 + 0.970296i −0.241922 + 0.970296i
\(82\) 0 0
\(83\) 0 0 −0.882948 0.469472i \(-0.844444\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(84\) 0 0
\(85\) 0 0
\(86\) 0 0
\(87\) 0 0
\(88\) 0 0
\(89\) −1.50000 0.866025i −1.50000 0.866025i −0.500000 0.866025i \(-0.666667\pi\)
−1.00000 \(\pi\)
\(90\) 0 0
\(91\) 0 0
\(92\) 0.120822 1.72783i 0.120822 1.72783i
\(93\) −0.306644 0.163046i −0.306644 0.163046i
\(94\) 0 0
\(95\) 0 0
\(96\) 0 0
\(97\) −0.573931 + 1.42053i −0.573931 + 1.42053i 0.309017 + 0.951057i \(0.400000\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) −0.266044 + 0.460802i −0.266044 + 0.460802i
\(101\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(102\) 0 0
\(103\) 0.454664 1.82356i 0.454664 1.82356i −0.104528 0.994522i \(-0.533333\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(104\) 0 0
\(105\) 0 0
\(106\) 0 0
\(107\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(108\) 0.882948 0.469472i 0.882948 0.469472i
\(109\) 0 0 1.00000i \(-0.5\pi\)
1.00000i \(0.5\pi\)
\(110\) 0 0
\(111\) −1.43969 + 1.20805i −1.43969 + 1.20805i
\(112\) 0 0
\(113\) 0.0896772 + 1.28244i 0.0896772 + 1.28244i 0.809017 + 0.587785i \(0.200000\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(114\) 0 0
\(115\) −0.0413487 1.18407i −0.0413487 1.18407i
\(116\) 0 0
\(117\) 0 0
\(118\) 0 0
\(119\) 0 0
\(120\) 0 0
\(121\) 0 0
\(122\) 0 0
\(123\) 0 0
\(124\) 0.0840186 + 0.336980i 0.0840186 + 0.336980i
\(125\) −0.426264 + 0.957405i −0.426264 + 0.957405i
\(126\) 0 0
\(127\) 0 0 0.743145 0.669131i \(-0.233333\pi\)
−0.743145 + 0.669131i \(0.766667\pi\)
\(128\) 0 0
\(129\) 0 0
\(130\) 0 0
\(131\) 0 0 −0.939693 0.342020i \(-0.888889\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(132\) 0 0
\(133\) 0 0
\(134\) 0 0
\(135\) 0.567095 0.382510i 0.567095 0.382510i
\(136\) 0 0
\(137\) −0.924678 + 1.73907i −0.924678 + 1.73907i −0.309017 + 0.951057i \(0.600000\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(138\) 0 0
\(139\) 0 0 −0.275637 0.961262i \(-0.588889\pi\)
0.275637 + 0.961262i \(0.411111\pi\)
\(140\) 0 0
\(141\) −0.955369 0.860218i −0.955369 0.860218i
\(142\) 0 0
\(143\) 0 0
\(144\) −0.939693 0.342020i −0.939693 0.342020i
\(145\) 0 0
\(146\) 0 0
\(147\) −0.997564 0.0697565i −0.997564 0.0697565i
\(148\) 1.86110 + 0.261560i 1.86110 + 0.261560i
\(149\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(150\) 0 0
\(151\) 0 0 0.970296 0.241922i \(-0.0777778\pi\)
−0.970296 + 0.241922i \(0.922222\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0 0
\(155\) 0.0812519 + 0.223238i 0.0812519 + 0.223238i
\(156\) 0 0
\(157\) 0.346450 0.0242262i 0.346450 0.0242262i 0.104528 0.994522i \(-0.466667\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(158\) 0 0
\(159\) −0.274117 + 1.95045i −0.274117 + 1.95045i
\(160\) 0 0
\(161\) 0 0
\(162\) 0 0
\(163\) 0.473442 + 1.45710i 0.473442 + 1.45710i 0.848048 + 0.529919i \(0.177778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) 0 0 −0.848048 0.529919i \(-0.822222\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(168\) 0 0
\(169\) −0.559193 + 0.829038i −0.559193 + 0.829038i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) 0 0 −0.241922 0.970296i \(-0.577778\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(174\) 0 0
\(175\) 0 0
\(176\) 0 0
\(177\) 1.26604 1.50881i 1.26604 1.50881i
\(178\) 0 0
\(179\) −1.95883 0.205881i −1.95883 0.205881i −0.961262 0.275637i \(-0.911111\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(180\) −0.663721 0.165484i −0.663721 0.165484i
\(181\) −1.25755 1.39666i −1.25755 1.39666i −0.882948 0.469472i \(-0.844444\pi\)
−0.374607 0.927184i \(-0.622222\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) 1.28479 + 0.0448659i 1.28479 + 0.0448659i
\(186\) 0 0
\(187\) 0 0
\(188\) 1.28558i 1.28558i
\(189\) 0 0
\(190\) 0 0
\(191\) 1.15547 0.563559i 1.15547 0.563559i 0.241922 0.970296i \(-0.422222\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(192\) 0.374607 + 0.927184i 0.374607 + 0.927184i
\(193\) 0 0 −0.788011 0.615661i \(-0.788889\pi\)
0.788011 + 0.615661i \(0.211111\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) 0.615661 + 0.788011i 0.615661 + 0.788011i
\(197\) 0 0 0.500000 0.866025i \(-0.333333\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(198\) 0 0
\(199\) 0.766044 + 1.32683i 0.766044 + 1.32683i 0.939693 + 0.342020i \(0.111111\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(200\) 0 0
\(201\) 0.333843 + 0.0957278i 0.333843 + 0.0957278i
\(202\) 0 0
\(203\) 0 0
\(204\) 0 0
\(205\) 0 0
\(206\) 0 0
\(207\) −1.64728 + 0.535233i −1.64728 + 0.535233i
\(208\) 0 0
\(209\) 0 0
\(210\) 0 0
\(211\) 0 0 0.529919 0.848048i \(-0.322222\pi\)
−0.529919 + 0.848048i \(0.677778\pi\)
\(212\) 1.63289 1.10140i 1.63289 1.10140i
\(213\) 1.24739 + 0.311009i 1.24739 + 0.311009i
\(214\) 0 0
\(215\) 0 0
\(216\) 0 0
\(217\) 0 0
\(218\) 0 0
\(219\) 0 0
\(220\) 0 0
\(221\) 0 0
\(222\) 0 0
\(223\) −0.961262 0.275637i −0.961262 0.275637i −0.241922 0.970296i \(-0.577778\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(224\) 0 0
\(225\) 0.526911 + 0.0740525i 0.526911 + 0.0740525i
\(226\) 0 0
\(227\) 0 0 −0.997564 0.0697565i \(-0.977778\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(228\) 0 0
\(229\) −0.882948 + 0.469472i −0.882948 + 0.469472i −0.848048 0.529919i \(-0.822222\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(230\) 0 0
\(231\) 0 0
\(232\) 0 0
\(233\) 0 0 0.669131 0.743145i \(-0.266667\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(234\) 0 0
\(235\) 0.0919208 + 0.874568i 0.0919208 + 0.874568i
\(236\) −1.96842 + 0.0687386i −1.96842 + 0.0687386i
\(237\) 0 0
\(238\) 0 0
\(239\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(240\) 0.321137 + 0.603972i 0.321137 + 0.603972i
\(241\) 0 0 −0.984808 0.173648i \(-0.944444\pi\)
0.984808 + 0.173648i \(0.0555556\pi\)
\(242\) 0 0
\(243\) −0.766044 0.642788i −0.766044 0.642788i
\(244\) 0 0
\(245\) 0.475174 + 0.492057i 0.475174 + 0.492057i
\(246\) 0 0
\(247\) 0 0
\(248\) 0 0
\(249\) 0 0
\(250\) 0 0
\(251\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(252\) 0 0
\(253\) 0 0
\(254\) 0 0
\(255\) 0 0
\(256\) 0.438371 0.898794i 0.438371 0.898794i
\(257\) 1.20318 1.24593i 1.20318 1.24593i 0.241922 0.970296i \(-0.422222\pi\)
0.961262 0.275637i \(-0.0888889\pi\)
\(258\) 0 0
\(259\) 0 0
\(260\) 0 0
\(261\) 0 0
\(262\) 0 0
\(263\) 0 0 0.939693 0.342020i \(-0.111111\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(264\) 0 0
\(265\) 1.03209 0.866025i 1.03209 0.866025i
\(266\) 0 0
\(267\) 1.43594 0.968551i 1.43594 0.968551i
\(268\) −0.152245 0.312148i −0.152245 0.312148i
\(269\) −1.22265 0.397265i −1.22265 0.397265i −0.374607 0.927184i \(-0.622222\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(270\) 0 0
\(271\) 0 0 −0.587785 0.809017i \(-0.700000\pi\)
0.587785 + 0.809017i \(0.300000\pi\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) 0 0
\(276\) 1.50000 + 0.866025i 1.50000 + 0.866025i
\(277\) 0 0 0.788011 0.615661i \(-0.211111\pi\)
−0.788011 + 0.615661i \(0.788889\pi\)
\(278\) 0 0
\(279\) 0.280969 0.204136i 0.280969 0.204136i
\(280\) 0 0
\(281\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(282\) 0 0
\(283\) 0 0 −0.898794 0.438371i \(-0.855556\pi\)
0.898794 + 0.438371i \(0.144444\pi\)
\(284\) −0.603541 1.13510i −0.603541 1.13510i
\(285\) 0 0
\(286\) 0 0
\(287\) 0 0
\(288\) 0 0
\(289\) 0.913545 0.406737i 0.913545 0.406737i
\(290\) 0 0
\(291\) −1.02517 1.13856i −1.02517 1.13856i
\(292\) 0 0
\(293\) 0 0 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(294\) 0 0
\(295\) −1.33418 + 0.187507i −1.33418 + 0.187507i
\(296\) 0 0
\(297\) 0 0
\(298\) 0 0
\(299\) 0 0
\(300\) −0.297540 0.441122i −0.297540 0.441122i
\(301\) 0 0
\(302\) 0 0
\(303\) 0 0
\(304\) 0 0
\(305\) 0 0
\(306\) 0 0
\(307\) 0 0 0.866025 0.500000i \(-0.166667\pi\)
−0.866025 + 0.500000i \(0.833333\pi\)
\(308\) 0 0
\(309\) 1.43969 + 1.20805i 1.43969 + 1.20805i
\(310\) 0 0
\(311\) −1.77028 0.863423i −1.77028 0.863423i −0.961262 0.275637i \(-0.911111\pi\)
−0.809017 0.587785i \(-0.800000\pi\)
\(312\) 0 0
\(313\) 0.848048 0.529919i 0.848048 0.529919i −0.0348995 0.999391i \(-0.511111\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(314\) 0 0
\(315\) 0 0
\(316\) 0 0
\(317\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(318\) 0 0
\(319\) 0 0
\(320\) 0.233956 0.642788i 0.233956 0.642788i
\(321\) 0 0
\(322\) 0 0
\(323\) 0 0
\(324\) 0.0348995 + 0.999391i 0.0348995 + 0.999391i
\(325\) 0 0
\(326\) 0 0
\(327\) 0 0
\(328\) 0 0
\(329\) 0 0
\(330\) 0 0
\(331\) −1.43969 + 0.524005i −1.43969 + 0.524005i −0.939693 0.342020i \(-0.888889\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(332\) 0 0
\(333\) −0.454664 1.82356i −0.454664 1.82356i
\(334\) 0 0
\(335\) −0.125890 0.201466i −0.125890 0.201466i
\(336\) 0 0
\(337\) 0 0 0.694658 0.719340i \(-0.255556\pi\)
−0.694658 + 0.719340i \(0.744444\pi\)
\(338\) 0 0
\(339\) −1.19196 0.481585i −1.19196 0.481585i
\(340\) 0 0
\(341\) 0 0
\(342\) 0 0
\(343\) 0 0
\(344\) 0 0
\(345\) 1.08236 + 0.481899i 1.08236 + 0.481899i
\(346\) 0 0
\(347\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(348\) 0 0
\(349\) 0 0 −0.694658 0.719340i \(-0.744444\pi\)
0.694658 + 0.719340i \(0.255556\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0 0
\(353\) 1.70574 + 0.300767i 1.70574 + 0.300767i 0.939693 0.342020i \(-0.111111\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(354\) 0 0
\(355\) −0.491746 0.729043i −0.491746 0.729043i
\(356\) −1.68060 0.419021i −1.68060 0.419021i
\(357\) 0 0
\(358\) 0 0
\(359\) 0 0 −0.104528 0.994522i \(-0.533333\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(360\) 0 0
\(361\) −0.669131 + 0.743145i −0.669131 + 0.743145i
\(362\) 0 0
\(363\) 0 0
\(364\) 0 0
\(365\) 0 0
\(366\) 0 0
\(367\) −1.52836 0.106873i −1.52836 0.106873i −0.719340 0.694658i \(-0.755556\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(368\) −0.360114 1.69420i −0.360114 1.69420i
\(369\) 0 0
\(370\) 0 0
\(371\) 0 0
\(372\) −0.339707 0.0722070i −0.339707 0.0722070i
\(373\) 0 0 −0.642788 0.766044i \(-0.722222\pi\)
0.642788 + 0.766044i \(0.277778\pi\)
\(374\) 0 0
\(375\) −0.673648 0.802823i −0.673648 0.802823i
\(376\) 0 0
\(377\) 0 0
\(378\) 0 0
\(379\) −0.309017 + 0.951057i −0.309017 + 0.951057i 0.669131 + 0.743145i \(0.266667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) −1.04374 + 1.67033i −1.04374 + 1.67033i −0.374607 + 0.927184i \(0.622222\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(384\) 0 0
\(385\) 0 0
\(386\) 0 0
\(387\) 0 0
\(388\) −0.160147 + 1.52370i −0.160147 + 1.52370i
\(389\) −0.0896772 + 1.28244i −0.0896772 + 1.28244i 0.719340 + 0.694658i \(0.244444\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(390\) 0 0
\(391\) 0 0
\(392\) 0 0
\(393\) 0 0
\(394\) 0 0
\(395\) 0 0
\(396\) 0 0
\(397\) −0.173648 + 0.300767i −0.173648 + 0.300767i −0.939693 0.342020i \(-0.888889\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(398\) 0 0
\(399\) 0 0
\(400\) −0.128724 + 0.516284i −0.128724 + 0.516284i
\(401\) 0.539031 + 0.421137i 0.539031 + 0.421137i 0.848048 0.529919i \(-0.177778\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(402\) 0 0
\(403\) 0 0
\(404\) 0 0
\(405\) 0.0952000 + 0.677383i 0.0952000 + 0.677383i
\(406\) 0 0
\(407\) 0 0
\(408\) 0 0
\(409\) 0 0 −0.999391 0.0348995i \(-0.988889\pi\)
0.999391 + 0.0348995i \(0.0111111\pi\)
\(410\) 0 0
\(411\) −1.15771 1.59345i −1.15771 1.59345i
\(412\) −0.0655896 1.87824i −0.0655896 1.87824i
\(413\) 0 0
\(414\) 0 0
\(415\) 0 0
\(416\) 0 0
\(417\) 0 0
\(418\) 0 0
\(419\) −0.673648 + 0.118782i −0.673648 + 0.118782i −0.500000 0.866025i \(-0.666667\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(420\) 0 0
\(421\) −0.454664 1.82356i −0.454664 1.82356i −0.559193 0.829038i \(-0.688889\pi\)
0.104528 0.994522i \(-0.466667\pi\)
\(422\) 0 0
\(423\) 1.19196 0.481585i 1.19196 0.481585i
\(424\) 0 0
\(425\) 0 0
\(426\) 0 0
\(427\) 0 0
\(428\) 0 0
\(429\) 0 0
\(430\) 0 0
\(431\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(432\) 0.719340 0.694658i 0.719340 0.694658i
\(433\) 0.809017 0.587785i 0.809017 0.587785i −0.104528 0.994522i \(-0.533333\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 0 0
\(437\) 0 0
\(438\) 0 0
\(439\) 0 0 −0.342020 0.939693i \(-0.611111\pi\)
0.342020 + 0.939693i \(0.388889\pi\)
\(440\) 0 0
\(441\) 0.500000 0.866025i 0.500000 0.866025i
\(442\) 0 0
\(443\) −0.663721 + 0.165484i −0.663721 + 0.165484i −0.559193 0.829038i \(-0.688889\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(444\) −1.05094 + 1.55808i −1.05094 + 1.55808i
\(445\) −1.17326 0.164891i −1.17326 0.164891i
\(446\) 0 0
\(447\) 0 0
\(448\) 0 0
\(449\) −0.508341 0.457712i −0.508341 0.457712i 0.374607 0.927184i \(-0.377778\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(450\) 0 0
\(451\) 0 0
\(452\) 0.439693 + 1.20805i 0.439693 + 1.20805i
\(453\) 0 0
\(454\) 0 0
\(455\) 0 0
\(456\) 0 0
\(457\) 0 0 0.469472 0.882948i \(-0.344444\pi\)
−0.469472 + 0.882948i \(0.655556\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) −0.366121 1.12680i −0.366121 1.12680i
\(461\) 0 0 0.173648 0.984808i \(-0.444444\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(462\) 0 0
\(463\) 0.939693 + 0.342020i 0.939693 + 0.342020i 0.766044 0.642788i \(-0.222222\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(464\) 0 0
\(465\) −0.236263 0.0248323i −0.236263 0.0248323i
\(466\) 0 0
\(467\) −0.955369 + 0.860218i −0.955369 + 0.860218i −0.990268 0.139173i \(-0.955556\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(468\) 0 0
\(469\) 0 0
\(470\) 0 0
\(471\) −0.130100 + 0.322008i −0.130100 + 0.322008i
\(472\) 0 0
\(473\) 0 0
\(474\) 0 0
\(475\) 0 0
\(476\) 0 0
\(477\) −1.63289 1.10140i −1.63289 1.10140i
\(478\) 0 0
\(479\) 0 0 −0.0348995 0.999391i \(-0.511111\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(480\) 0 0
\(481\) 0 0
\(482\) 0 0
\(483\) 0 0
\(484\) 0 0
\(485\) 1.04801i 1.04801i
\(486\) 0 0
\(487\) −1.52045 1.10467i −1.52045 1.10467i −0.961262 0.275637i \(-0.911111\pi\)
−0.559193 0.829038i \(-0.688889\pi\)
\(488\) 0 0
\(489\) −1.51718 0.213226i −1.51718 0.213226i
\(490\) 0 0
\(491\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(492\) 0 0
\(493\) 0 0
\(494\) 0 0
\(495\) 0 0
\(496\) 0.173648 + 0.300767i 0.173648 + 0.300767i
\(497\) 0 0
\(498\) 0 0
\(499\) −1.35192 1.30553i −1.35192 1.30553i −0.913545 0.406737i \(-0.866667\pi\)
−0.438371 0.898794i \(-0.644444\pi\)
\(500\) −0.145855 + 1.03781i −0.145855 + 1.03781i
\(501\) 0 0
\(502\) 0 0
\(503\) 0 0 0.104528 0.994522i \(-0.466667\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(504\) 0 0
\(505\) 0 0
\(506\) 0 0
\(507\) −0.500000 0.866025i −0.500000 0.866025i
\(508\) 0 0
\(509\) 1.43594 0.968551i 1.43594 0.968551i 0.438371 0.898794i \(-0.355556\pi\)
0.997564 0.0697565i \(-0.0222222\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) 0 0
\(513\) 0 0
\(514\) 0 0
\(515\) −0.178917 1.27306i −0.178917 1.27306i
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) −0.680293 + 0.0715017i −0.680293 + 0.0715017i −0.438371 0.898794i \(-0.644444\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(522\) 0 0
\(523\) 0 0 −0.207912 0.978148i \(-0.566667\pi\)
0.207912 + 0.978148i \(0.433333\pi\)
\(524\) 0 0
\(525\) 0 0
\(526\) 0 0
\(527\) 0 0
\(528\) 0 0
\(529\) −1.53209 1.28558i −1.53209 1.28558i
\(530\) 0 0
\(531\) 0.801115 + 1.79933i 0.801115 + 1.79933i
\(532\) 0 0
\(533\) 0 0
\(534\) 0 0
\(535\) 0 0
\(536\) 0 0
\(537\) 1.04374 1.67033i 1.04374 1.67033i
\(538\) 0 0
\(539\) 0 0
\(540\) 0.439693 0.524005i 0.439693 0.524005i
\(541\) 0 0 0.951057 0.309017i \(-0.100000\pi\)
−0.951057 + 0.309017i \(0.900000\pi\)
\(542\) 0 0
\(543\) 1.80658 0.518029i 1.80658 0.518029i
\(544\) 0 0
\(545\) 0 0
\(546\) 0 0
\(547\) 0 0 0.275637 0.961262i \(-0.411111\pi\)
−0.275637 + 0.961262i \(0.588889\pi\)
\(548\) −0.409506 + 1.92657i −0.409506 + 1.92657i
\(549\) 0 0
\(550\) 0 0
\(551\) 0 0
\(552\) 0 0
\(553\) 0 0
\(554\) 0 0
\(555\) −0.603541 + 1.13510i −0.603541 + 1.13510i
\(556\) 0 0
\(557\) 0 0 −0.913545 0.406737i \(-0.866667\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(558\) 0 0
\(559\) 0 0
\(560\) 0 0
\(561\) 0 0
\(562\) 0 0
\(563\) 0 0 0.0348995 0.999391i \(-0.488889\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(564\) −1.15547 0.563559i −1.15547 0.563559i
\(565\) 0.385497 + 0.790386i 0.385497 + 0.790386i
\(566\) 0 0
\(567\) 0 0
\(568\) 0 0
\(569\) 0 0 0.719340 0.694658i \(-0.244444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(570\) 0 0
\(571\) 0 0 0.342020 0.939693i \(-0.388889\pi\)
−0.342020 + 0.939693i \(0.611111\pi\)
\(572\) 0 0
\(573\) 1.28558i 1.28558i
\(574\) 0 0
\(575\) 0.374851 + 0.841928i 0.374851 + 0.841928i
\(576\) −0.997564 0.0697565i −0.997564 0.0697565i
\(577\) −1.83832 + 0.390746i −1.83832 + 0.390746i −0.990268 0.139173i \(-0.955556\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(578\) 0 0
\(579\) 0 0
\(580\) 0 0
\(581\) 0 0
\(582\) 0 0
\(583\) 0 0
\(584\) 0 0
\(585\) 0 0
\(586\) 0 0
\(587\) 0.567095 + 0.382510i 0.567095 + 0.382510i 0.809017 0.587785i \(-0.200000\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(588\) −0.978148 + 0.207912i −0.978148 + 0.207912i
\(589\) 0 0
\(590\) 0 0
\(591\) 0 0
\(592\) 1.86110 0.261560i 1.86110 0.261560i
\(593\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(594\) 0 0
\(595\) 0 0
\(596\) 0 0
\(597\) −1.52836 + 0.106873i −1.52836 + 0.106873i
\(598\) 0 0
\(599\) 1.60593 0.648838i 1.60593 0.648838i 0.615661 0.788011i \(-0.288889\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(600\) 0 0
\(601\) 0 0 −0.829038 0.559193i \(-0.811111\pi\)
0.829038 + 0.559193i \(0.188889\pi\)
\(602\) 0 0
\(603\) −0.232387 + 0.258091i −0.232387 + 0.258091i
\(604\) 0 0
\(605\) 0 0
\(606\) 0 0
\(607\) 0 0 −0.469472 0.882948i \(-0.655556\pi\)
0.469472 + 0.882948i \(0.344444\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) 0 0
\(612\) 0 0
\(613\) 0 0 −0.406737 0.913545i \(-0.633333\pi\)
0.406737 + 0.913545i \(0.366667\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 0 0
\(617\) 0.673648 1.85083i 0.673648 1.85083i 0.173648 0.984808i \(-0.444444\pi\)
0.500000 0.866025i \(-0.333333\pi\)
\(618\) 0 0
\(619\) 1.35192 1.30553i 1.35192 1.30553i 0.438371 0.898794i \(-0.355556\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(620\) 0.139637 + 0.192194i 0.139637 + 0.192194i
\(621\) 0.241055 1.71519i 0.241055 1.71519i
\(622\) 0 0
\(623\) 0 0
\(624\) 0 0
\(625\) −0.00644917 + 0.184680i −0.00644917 + 0.184680i
\(626\) 0 0
\(627\) 0 0
\(628\) 0.326352 0.118782i 0.326352 0.118782i
\(629\) 0 0
\(630\) 0 0
\(631\) −0.317271 0.141258i −0.317271 0.141258i 0.241922 0.970296i \(-0.422222\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(632\) 0 0
\(633\) 0 0
\(634\) 0 0
\(635\) 0 0
\(636\) 0.274117 + 1.95045i 0.274117 + 1.95045i
\(637\) 0 0
\(638\) 0 0
\(639\) −0.826352 + 0.984808i −0.826352 + 0.984808i
\(640\) 0 0
\(641\) 0.477418 1.66495i 0.477418 1.66495i −0.241922 0.970296i \(-0.577778\pi\)
0.719340 0.694658i \(-0.244444\pi\)
\(642\) 0 0
\(643\) 0.374607 + 0.927184i 0.374607 + 0.927184i 0.990268 + 0.139173i \(0.0444444\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(648\) 0 0
\(649\) 0 0
\(650\) 0 0
\(651\) 0 0
\(652\) 0.856733 + 1.27016i 0.856733 + 1.27016i
\(653\) −0.663721 0.165484i −0.663721 0.165484i −0.104528 0.994522i \(-0.533333\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(654\) 0 0
\(655\) 0 0
\(656\) 0 0
\(657\) 0 0
\(658\) 0 0
\(659\) 0 0 −0.766044 0.642788i \(-0.777778\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(660\) 0 0
\(661\) −0.266044 1.50881i −0.266044 1.50881i −0.766044 0.642788i \(-0.777778\pi\)
0.500000 0.866025i \(-0.333333\pi\)
\(662\) 0 0
\(663\) 0 0
\(664\) 0 0
\(665\) 0 0
\(666\) 0 0
\(667\) 0 0
\(668\) 0 0
\(669\) 0.669131 0.743145i 0.669131 0.743145i
\(670\) 0 0
\(671\) 0 0
\(672\) 0 0
\(673\) 0 0 −0.139173 0.990268i \(-0.544444\pi\)
0.139173 + 0.990268i \(0.455556\pi\)
\(674\) 0 0
\(675\) −0.297540 + 0.441122i −0.297540 + 0.441122i
\(676\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(677\) 0 0 −0.882948 0.469472i \(-0.844444\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) 0 0
\(681\) 0 0
\(682\) 0 0
\(683\) −1.11334 0.642788i −1.11334 0.642788i −0.173648 0.984808i \(-0.555556\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(684\) 0 0
\(685\) −0.140831 + 1.33992i −0.140831 + 1.33992i
\(686\) 0 0
\(687\) −0.0348995 0.999391i −0.0348995 0.999391i
\(688\) 0 0
\(689\) 0 0
\(690\) 0 0
\(691\) 0.704030 1.74254i 0.704030 1.74254i 0.0348995 0.999391i \(-0.488889\pi\)
0.669131 0.743145i \(-0.266667\pi\)
\(692\) 0 0
\(693\) 0 0
\(694\) 0 0
\(695\) 0 0
\(696\) 0 0
\(697\) 0 0
\(698\) 0 0
\(699\) 0 0
\(700\) 0 0
\(701\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(702\) 0 0
\(703\) 0 0
\(704\) 0 0
\(705\) −0.826352 0.300767i −0.826352 0.300767i
\(706\) 0 0
\(707\) 0 0
\(708\) 0.801115 1.79933i 0.801115 1.79933i
\(709\) 0.0655896 + 1.87824i 0.0655896 + 1.87824i 0.374607 + 0.927184i \(0.377778\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(710\) 0 0
\(711\) 0 0
\(712\) 0 0
\(713\) 0.557733 + 0.225339i 0.557733 + 0.225339i
\(714\) 0 0
\(715\) 0 0
\(716\) −1.93969 + 0.342020i −1.93969 + 0.342020i
\(717\) 0 0
\(718\) 0 0
\(719\) −0.522891 + 1.17443i −0.522891 + 1.17443i 0.438371 + 0.898794i \(0.355556\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(720\) −0.683624 + 0.0238727i −0.683624 + 0.0238727i
\(721\) 0 0
\(722\) 0 0
\(723\) 0 0
\(724\) −1.59381 0.995922i −1.59381 0.995922i
\(725\) 0 0
\(726\) 0 0
\(727\) −0.266044 + 1.50881i −0.266044 + 1.50881i 0.500000 + 0.866025i \(0.333333\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(728\) 0 0
\(729\) 0.913545 0.406737i 0.913545 0.406737i
\(730\) 0 0
\(731\) 0 0
\(732\) 0 0
\(733\) 0 0 −0.275637 0.961262i \(-0.588889\pi\)
0.275637 + 0.961262i \(0.411111\pi\)
\(734\) 0 0
\(735\) −0.650561 + 0.211380i −0.650561 + 0.211380i
\(736\) 0 0
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 −0.743145 0.669131i \(-0.766667\pi\)
0.743145 + 0.669131i \(0.233333\pi\)
\(740\) 1.24739 0.311009i 1.24739 0.311009i
\(741\) 0 0
\(742\) 0 0
\(743\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(744\) 0 0
\(745\) 0 0
\(746\) 0 0
\(747\) 0 0
\(748\) 0 0
\(749\) 0 0
\(750\) 0 0
\(751\) 1.52836 0.106873i 1.52836 0.106873i 0.719340 0.694658i \(-0.244444\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(752\) 0.354353 + 1.23577i 0.354353 + 1.23577i
\(753\) 0 0
\(754\) 0 0
\(755\) 0 0
\(756\) 0 0
\(757\) −0.107320 0.330298i −0.107320 0.330298i 0.882948 0.469472i \(-0.155556\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) 0 0 −0.848048 0.529919i \(-0.822222\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 0.955369 0.860218i 0.955369 0.860218i
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) 0.615661 + 0.788011i 0.615661 + 0.788011i
\(769\) 0 0 0.984808 0.173648i \(-0.0555556\pi\)
−0.984808 + 0.173648i \(0.944444\pi\)
\(770\) 0 0
\(771\) 0.592396 + 1.62760i 0.592396 + 1.62760i
\(772\) 0 0
\(773\) 0 0 0.104528 0.994522i \(-0.466667\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(774\) 0 0
\(775\) −0.123650 0.137328i −0.123650 0.137328i
\(776\) 0 0
\(777\) 0 0
\(778\) 0 0
\(779\) 0 0
\(780\) 0 0
\(781\) 0 0
\(782\) 0 0
\(783\) 0 0
\(784\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(785\) 0.213522 0.104142i 0.213522 0.104142i
\(786\) 0 0
\(787\) 0 0 −0.788011 0.615661i \(-0.788889\pi\)
0.788011 + 0.615661i \(0.211111\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 0 0
\(792\) 0 0
\(793\) 0 0
\(794\) 0 0
\(795\) 0.325940 + 1.30728i 0.325940 + 1.30728i
\(796\) 1.10209 + 1.06428i 1.10209 + 1.06428i
\(797\) −0.0952000 + 0.677383i −0.0952000 + 0.677383i 0.882948 + 0.469472i \(0.155556\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(798\) 0 0
\(799\) 0 0
\(800\) 0 0
\(801\) 0.241055 + 1.71519i 0.241055 + 1.71519i
\(802\) 0 0
\(803\) 0 0