Properties

Label 3267.1.bf.a.1201.1
Level $3267$
Weight $1$
Character 3267.1201
Analytic conductor $1.630$
Analytic rank $0$
Dimension $24$
Projective image $D_{9}$
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.bf (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: no (minimal twist has level 297)
Projective image: \(D_{9}\)
Projective field: Galois closure of 9.1.459450093735369.1

Embedding invariants

Embedding label 1201.1
Root \(-0.241922 - 0.970296i\) of defining polynomial
Character \(\chi\) \(=\) 3267.1201
Dual form 3267.1.bf.a.457.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.438371 + 0.898794i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.704030 - 1.74254i) q^{5} +(-0.615661 + 0.788011i) q^{9} +O(q^{10})\) \(q+(0.438371 + 0.898794i) q^{3} +(0.961262 + 0.275637i) q^{4} +(0.704030 - 1.74254i) q^{5} +(-0.615661 + 0.788011i) q^{9} +(0.173648 + 0.984808i) q^{12} +(1.87481 - 0.131099i) q^{15} +(0.848048 + 0.529919i) q^{16} +(1.15707 - 1.48098i) q^{20} +(0.939693 - 0.342020i) q^{23} +(-1.82143 - 1.75894i) q^{25} +(-0.978148 - 0.207912i) q^{27} +(0.0121205 + 0.347085i) q^{31} +(-0.809017 + 0.587785i) q^{36} +(-1.71690 + 0.764415i) q^{37} +(0.939693 + 1.62760i) q^{45} +(1.47274 - 0.422301i) q^{47} +(-0.104528 + 0.994522i) q^{48} +(-0.374607 + 0.927184i) q^{49} +(0.107320 - 0.330298i) q^{53} +(-0.0840186 - 0.336980i) q^{59} +(1.83832 + 0.390746i) q^{60} +(0.669131 + 0.743145i) q^{64} +(0.0603074 - 0.342020i) q^{67} +(0.719340 + 0.694658i) q^{69} +(-1.49861 - 0.318539i) q^{71} +(0.782458 - 2.40816i) q^{75} +(1.52045 - 1.10467i) q^{80} +(-0.241922 - 0.970296i) q^{81} +(0.500000 + 0.866025i) q^{89} +(0.997564 - 0.0697565i) q^{92} +(-0.306644 + 0.163046i) q^{93} +(-0.573931 - 1.42053i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 3 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 3 q^{5} + 3 q^{15} - 6 q^{20} + 3 q^{25} + 3 q^{27} + 3 q^{31} - 6 q^{36} + 3 q^{47} + 3 q^{48} + 3 q^{59} + 3 q^{64} + 24 q^{67} - 6 q^{75} + 12 q^{89} - 6 q^{93} - 6 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(244\) \(3026\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(e\left(\frac{4}{9}\right)\)

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 \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(3\) 0.438371 + 0.898794i 0.438371 + 0.898794i
\(4\) 0.961262 + 0.275637i 0.961262 + 0.275637i
\(5\) 0.704030 1.74254i 0.704030 1.74254i 0.0348995 0.999391i \(-0.488889\pi\)
0.669131 0.743145i \(-0.266667\pi\)
\(6\) 0 0
\(7\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(8\) 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 −0.882948 0.469472i \(-0.844444\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(14\) 0 0
\(15\) 1.87481 0.131099i 1.87481 0.131099i
\(16\) 0.848048 + 0.529919i 0.848048 + 0.529919i
\(17\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(18\) 0 0
\(19\) 0 0 −0.913545 0.406737i \(-0.866667\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(20\) 1.15707 1.48098i 1.15707 1.48098i
\(21\) 0 0
\(22\) 0 0
\(23\) 0.939693 0.342020i 0.939693 0.342020i 0.173648 0.984808i \(-0.444444\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(24\) 0 0
\(25\) −1.82143 1.75894i −1.82143 1.75894i
\(26\) 0 0
\(27\) −0.978148 0.207912i −0.978148 0.207912i
\(28\) 0 0
\(29\) 0 0 0.438371 0.898794i \(-0.355556\pi\)
−0.438371 + 0.898794i \(0.644444\pi\)
\(30\) 0 0
\(31\) 0.0121205 + 0.347085i 0.0121205 + 0.347085i 0.990268 + 0.139173i \(0.0444444\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(32\) 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 −0.719340 + 0.694658i \(0.755556\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0 0
\(41\) 0 0 −0.438371 0.898794i \(-0.644444\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(42\) 0 0
\(43\) 0 0 0.766044 0.642788i \(-0.222222\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(44\) 0 0
\(45\) 0.939693 + 1.62760i 0.939693 + 1.62760i
\(46\) 0 0
\(47\) 1.47274 0.422301i 1.47274 0.422301i 0.559193 0.829038i \(-0.311111\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(48\) −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
\(53\) 0.107320 0.330298i 0.107320 0.330298i −0.882948 0.469472i \(-0.844444\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(54\) 0 0
\(55\) 0 0
\(56\) 0 0
\(57\) 0 0
\(58\) 0 0
\(59\) −0.0840186 0.336980i −0.0840186 0.336980i 0.913545 0.406737i \(-0.133333\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(60\) 1.83832 + 0.390746i 1.83832 + 0.390746i
\(61\) 0 0 0.0348995 0.999391i \(-0.488889\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(62\) 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 \(-0.888889\pi\)
1.00000 \(0\)
\(68\) 0 0
\(69\) 0.719340 + 0.694658i 0.719340 + 0.694658i
\(70\) 0 0
\(71\) −1.49861 0.318539i −1.49861 0.318539i −0.615661 0.788011i \(-0.711111\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(72\) 0 0
\(73\) 0 0 0.104528 0.994522i \(-0.466667\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(74\) 0 0
\(75\) 0.782458 2.40816i 0.782458 2.40816i
\(76\) 0 0
\(77\) 0 0
\(78\) 0 0
\(79\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(80\) 1.52045 1.10467i 1.52045 1.10467i
\(81\) −0.241922 0.970296i −0.241922 0.970296i
\(82\) 0 0
\(83\) 0 0 0.882948 0.469472i \(-0.155556\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(84\) 0 0
\(85\) 0 0
\(86\) 0 0
\(87\) 0 0
\(88\) 0 0
\(89\) 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 \(0\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(90\) 0 0
\(91\) 0 0
\(92\) 0.997564 0.0697565i 0.997564 0.0697565i
\(93\) −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 −0.882948 0.469472i \(-0.844444\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) −1.26604 2.19285i −1.26604 2.19285i
\(101\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(102\) 0 0
\(103\) 0.454664 + 1.82356i 0.454664 + 1.82356i 0.559193 + 0.829038i \(0.311111\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(104\) 0 0
\(105\) 0 0
\(106\) 0 0
\(107\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(108\) −0.882948 0.469472i −0.882948 0.469472i
\(109\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(110\) 0 0
\(111\) −1.43969 1.20805i −1.43969 1.20805i
\(112\) 0 0
\(113\) −1.52836 0.106873i −1.52836 0.106873i −0.719340 0.694658i \(-0.755556\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(114\) 0 0
\(115\) 0.0655896 1.87824i 0.0655896 1.87824i
\(116\) 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
\(125\) −2.63045 + 1.17115i −2.63045 + 1.17115i
\(126\) 0 0
\(127\) 0 0 0.669131 0.743145i \(-0.266667\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(128\) 0 0
\(129\) 0 0
\(130\) 0 0
\(131\) 0 0 0.939693 0.342020i \(-0.111111\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(132\) 0 0
\(133\) 0 0
\(134\) 0 0
\(135\) −1.05094 + 1.55808i −1.05094 + 1.55808i
\(136\) 0 0
\(137\) −0.306644 + 0.163046i −0.306644 + 0.163046i −0.615661 0.788011i \(-0.711111\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(138\) 0 0
\(139\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(140\) 0 0
\(141\) 1.02517 + 1.13856i 1.02517 + 1.13856i
\(142\) 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 \(-0.0444444\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(150\) 0 0
\(151\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0 0
\(155\) 0.613341 + 0.223238i 0.613341 + 0.223238i
\(156\) 0 0
\(157\) −0.346450 0.0242262i −0.346450 0.0242262i −0.104528 0.994522i \(-0.533333\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(158\) 0 0
\(159\) 0.343916 0.0483343i 0.343916 0.0483343i
\(160\) 0 0
\(161\) 0 0
\(162\) 0 0
\(163\) 0.473442 1.45710i 0.473442 1.45710i −0.374607 0.927184i \(-0.622222\pi\)
0.848048 0.529919i \(-0.177778\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(168\) 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 \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(174\) 0 0
\(175\) 0 0
\(176\) 0 0
\(177\) 0.266044 0.223238i 0.266044 0.223238i
\(178\) 0 0
\(179\) −0.0363024 0.345394i −0.0363024 0.345394i −0.997564 0.0697565i \(-0.977778\pi\)
0.961262 0.275637i \(-0.0888889\pi\)
\(180\) 0.454664 + 1.82356i 0.454664 + 1.82356i
\(181\) −1.25755 + 1.39666i −1.25755 + 1.39666i −0.374607 + 0.927184i \(0.622222\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) 0.123268 + 3.52994i 0.123268 + 3.52994i
\(186\) 0 0
\(187\) 0 0
\(188\) 1.53209 1.53209
\(189\) 0 0
\(190\) 0 0
\(191\) 0.671624 1.37703i 0.671624 1.37703i −0.241922 0.970296i \(-0.577778\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(192\) −0.374607 + 0.927184i −0.374607 + 0.927184i
\(193\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) −0.615661 + 0.788011i −0.615661 + 0.788011i
\(197\) 0 0 −0.500000 0.866025i \(-0.666667\pi\)
0.500000 + 0.866025i \(0.333333\pi\)
\(198\) 0 0
\(199\) −0.766044 + 1.32683i −0.766044 + 1.32683i 0.173648 + 0.984808i \(0.444444\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(200\) 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
\(207\) −0.309017 + 0.951057i −0.309017 + 0.951057i
\(208\) 0 0
\(209\) 0 0
\(210\) 0 0
\(211\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(212\) 0.194206 0.287922i 0.194206 0.287922i
\(213\) −0.370646 1.48658i −0.370646 1.48658i
\(214\) 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 −0.719340 0.694658i \(-0.755556\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(224\) 0 0
\(225\) 2.50745 0.352399i 2.50745 0.352399i
\(226\) 0 0
\(227\) 0 0 0.997564 0.0697565i \(-0.0222222\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(228\) 0 0
\(229\) 0.882948 + 0.469472i 0.882948 + 0.469472i 0.848048 0.529919i \(-0.177778\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(230\) 0 0
\(231\) 0 0
\(232\) 0 0
\(233\) 0 0 −0.669131 0.743145i \(-0.733333\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(234\) 0 0
\(235\) 0.300978 2.86361i 0.300978 2.86361i
\(236\) 0.0121205 0.347085i 0.0121205 0.347085i
\(237\) 0 0
\(238\) 0 0
\(239\) 0 0 0.559193 0.829038i \(-0.311111\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(240\) 1.65940 + 0.882318i 1.65940 + 0.882318i
\(241\) 0 0 −0.173648 0.984808i \(-0.555556\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(242\) 0 0
\(243\) 0.766044 0.642788i 0.766044 0.642788i
\(244\) 0 0
\(245\) 1.35192 + 1.30553i 1.35192 + 1.30553i
\(246\) 0 0
\(247\) 0 0
\(248\) 0 0
\(249\) 0 0
\(250\) 0 0
\(251\) −1.95630 + 0.415823i −1.95630 + 0.415823i −0.978148 + 0.207912i \(0.933333\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(252\) 0 0
\(253\) 0 0
\(254\) 0 0
\(255\) 0 0
\(256\) 0.438371 + 0.898794i 0.438371 + 0.898794i
\(257\) 0.719340 0.694658i 0.719340 0.694658i −0.241922 0.970296i \(-0.577778\pi\)
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 \(-0.888889\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(264\) 0 0
\(265\) −0.500000 0.419550i −0.500000 0.419550i
\(266\) 0 0
\(267\) −0.559193 + 0.829038i −0.559193 + 0.829038i
\(268\) 0.152245 0.312148i 0.152245 0.312148i
\(269\) 0.473442 + 1.45710i 0.473442 + 1.45710i 0.848048 + 0.529919i \(0.177778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(270\) 0 0
\(271\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) 0 0
\(276\) 0.500000 + 0.866025i 0.500000 + 0.866025i
\(277\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(278\) 0 0
\(279\) −0.280969 0.204136i −0.280969 0.204136i
\(280\) 0 0
\(281\) 0 0 −0.848048 0.529919i \(-0.822222\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(282\) 0 0
\(283\) 0 0 −0.438371 0.898794i \(-0.644444\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(284\) −1.35275 0.719272i −1.35275 0.719272i
\(285\) 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 \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(294\) 0 0
\(295\) −0.646352 0.0908388i −0.646352 0.0908388i
\(296\) 0 0
\(297\) 0 0
\(298\) 0 0
\(299\) 0 0
\(300\) 1.41593 2.09920i 1.41593 2.09920i
\(301\) 0 0
\(302\) 0 0
\(303\) 0 0
\(304\) 0 0
\(305\) 0 0
\(306\) 0 0
\(307\) 0 0 0.500000 0.866025i \(-0.333333\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(308\) 0 0
\(309\) −1.43969 + 1.20805i −1.43969 + 1.20805i
\(310\) 0 0
\(311\) 0.152245 + 0.312148i 0.152245 + 0.312148i 0.961262 0.275637i \(-0.0888889\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(312\) 0 0
\(313\) −0.848048 0.529919i −0.848048 0.529919i 0.0348995 0.999391i \(-0.488889\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(314\) 0 0
\(315\) 0 0
\(316\) 0 0
\(317\) −1.23132 + 1.57602i −1.23132 + 1.57602i −0.615661 + 0.788011i \(0.711111\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(318\) 0 0
\(319\) 0 0
\(320\) 1.76604 0.642788i 1.76604 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 −0.500000 0.866025i \(-0.666667\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(332\) 0 0
\(333\) 0.454664 1.82356i 0.454664 1.82356i
\(334\) 0 0
\(335\) −0.553524 0.345880i −0.553524 0.345880i
\(336\) 0 0
\(337\) 0 0 0.719340 0.694658i \(-0.244444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(338\) 0 0
\(339\) −0.573931 1.42053i −0.573931 1.42053i
\(340\) 0 0
\(341\) 0 0
\(342\) 0 0
\(343\) 0 0
\(344\) 0 0
\(345\) 1.71690 0.764415i 1.71690 0.764415i
\(346\) 0 0
\(347\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(348\) 0 0
\(349\) 0 0 −0.719340 0.694658i \(-0.755556\pi\)
0.719340 + 0.694658i \(0.244444\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0 0
\(353\) −0.173648 0.984808i −0.173648 0.984808i −0.939693 0.342020i \(-0.888889\pi\)
0.766044 0.642788i \(-0.222222\pi\)
\(354\) 0 0
\(355\) −1.61013 + 2.38712i −1.61013 + 2.38712i
\(356\) 0.241922 + 0.970296i 0.241922 + 0.970296i
\(357\) 0 0
\(358\) 0 0
\(359\) 0 0 0.104528 0.994522i \(-0.466667\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(360\) 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 −0.809017 0.587785i \(-0.800000\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(368\) 0.978148 + 0.207912i 0.978148 + 0.207912i
\(369\) 0 0
\(370\) 0 0
\(371\) 0 0
\(372\) −0.339707 + 0.0722070i −0.339707 + 0.0722070i
\(373\) 0 0 −0.766044 0.642788i \(-0.777778\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(374\) 0 0
\(375\) −2.20574 1.85083i −2.20574 1.85083i
\(376\) 0 0
\(377\) 0 0
\(378\) 0 0
\(379\) −0.309017 0.951057i −0.309017 0.951057i −0.978148 0.207912i \(-0.933333\pi\)
0.669131 0.743145i \(-0.266667\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) 0.294524 0.184039i 0.294524 0.184039i −0.374607 0.927184i \(-0.622222\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(384\) 0 0
\(385\) 0 0
\(386\) 0 0
\(387\) 0 0
\(388\) −0.160147 1.52370i −0.160147 1.52370i
\(389\) −1.52836 + 0.106873i −1.52836 + 0.106873i −0.809017 0.587785i \(-0.800000\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(390\) 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 0.766044 0.642788i \(-0.222222\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(398\) 0 0
\(399\) 0 0
\(400\) −0.612568 2.45688i −0.612568 2.45688i
\(401\) 1.15707 + 1.48098i 1.15707 + 1.48098i 0.848048 + 0.529919i \(0.177778\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(402\) 0 0
\(403\) 0 0
\(404\) 0 0
\(405\) −1.86110 0.261560i −1.86110 0.261560i
\(406\) 0 0
\(407\) 0 0
\(408\) 0 0
\(409\) 0 0 −0.0348995 0.999391i \(-0.511111\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(410\) 0 0
\(411\) −0.280969 0.204136i −0.280969 0.204136i
\(412\) −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
\(419\) −0.326352 + 1.85083i −0.326352 + 1.85083i 0.173648 + 0.984808i \(0.444444\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(420\) 0 0
\(421\) 0.454664 1.82356i 0.454664 1.82356i −0.104528 0.994522i \(-0.533333\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(422\) 0 0
\(423\) −0.573931 + 1.42053i −0.573931 + 1.42053i
\(424\) 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 \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(432\) −0.719340 0.694658i −0.719340 0.694658i
\(433\) 0.809017 + 0.587785i 0.809017 + 0.587785i 0.913545 0.406737i \(-0.133333\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 0 0
\(437\) 0 0
\(438\) 0 0
\(439\) 0 0 −0.939693 0.342020i \(-0.888889\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(440\) 0 0
\(441\) −0.500000 0.866025i −0.500000 0.866025i
\(442\) 0 0
\(443\) 0.454664 1.82356i 0.454664 1.82356i −0.104528 0.994522i \(-0.533333\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(444\) −1.05094 1.55808i −1.05094 1.55808i
\(445\) 1.86110 0.261560i 1.86110 0.261560i
\(446\) 0 0
\(447\) 0 0
\(448\) 0 0
\(449\) −1.25755 1.39666i −1.25755 1.39666i −0.882948 0.469472i \(-0.844444\pi\)
−0.374607 0.927184i \(-0.622222\pi\)
\(450\) 0 0
\(451\) 0 0
\(452\) −1.43969 0.524005i −1.43969 0.524005i
\(453\) 0 0
\(454\) 0 0
\(455\) 0 0
\(456\) 0 0
\(457\) 0 0 0.882948 0.469472i \(-0.155556\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) 0.580762 1.78740i 0.580762 1.78740i
\(461\) 0 0 −0.173648 0.984808i \(-0.555556\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(462\) 0 0
\(463\) 0.939693 0.342020i 0.939693 0.342020i 0.173648 0.984808i \(-0.444444\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(464\) 0 0
\(465\) 0.0682261 + 0.649128i 0.0682261 + 0.649128i
\(466\) 0 0
\(467\) 1.02517 1.13856i 1.02517 1.13856i 0.0348995 0.999391i \(-0.488889\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(468\) 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
\(477\) 0.194206 + 0.287922i 0.194206 + 0.287922i
\(478\) 0 0
\(479\) 0 0 0.0348995 0.999391i \(-0.488889\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(480\) 0 0
\(481\) 0 0
\(482\) 0 0
\(483\) 0 0
\(484\) 0 0
\(485\) −2.87939 −2.87939
\(486\) 0 0
\(487\) 1.52045 1.10467i 1.52045 1.10467i 0.559193 0.829038i \(-0.311111\pi\)
0.961262 0.275637i \(-0.0888889\pi\)
\(488\) 0 0
\(489\) 1.51718 0.213226i 1.51718 0.213226i
\(490\) 0 0
\(491\) 0 0 −0.241922 0.970296i \(-0.577778\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(492\) 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 0.438371 0.898794i \(-0.355556\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(500\) −2.85136 + 0.400733i −2.85136 + 0.400733i
\(501\) 0 0
\(502\) 0 0
\(503\) 0 0 −0.104528 0.994522i \(-0.533333\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(504\) 0 0
\(505\) 0 0
\(506\) 0 0
\(507\) −0.500000 + 0.866025i −0.500000 + 0.866025i
\(508\) 0 0
\(509\) −0.559193 + 0.829038i −0.559193 + 0.829038i −0.997564 0.0697565i \(-0.977778\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) 0 0
\(513\) 0 0
\(514\) 0 0
\(515\) 3.49771 + 0.491572i 3.49771 + 0.491572i
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) 0.196449 1.86909i 0.196449 1.86909i −0.241922 0.970296i \(-0.577778\pi\)
0.438371 0.898794i \(-0.355556\pi\)
\(522\) 0 0
\(523\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(524\) 0 0
\(525\) 0 0
\(526\) 0 0
\(527\) 0 0
\(528\) 0 0
\(529\) 0 0
\(530\) 0 0
\(531\) 0.317271 + 0.141258i 0.317271 + 0.141258i
\(532\) 0 0
\(533\) 0 0
\(534\) 0 0
\(535\) 0 0
\(536\) 0 0
\(537\) 0.294524 0.184039i 0.294524 0.184039i
\(538\) 0 0
\(539\) 0 0
\(540\) −1.43969 + 1.20805i −1.43969 + 1.20805i
\(541\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(542\) 0 0
\(543\) −1.80658 0.518029i −1.80658 0.518029i
\(544\) 0 0
\(545\) 0 0
\(546\) 0 0
\(547\) 0 0 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(548\) −0.339707 + 0.0722070i −0.339707 + 0.0722070i
\(549\) 0 0
\(550\) 0 0
\(551\) 0 0
\(552\) 0 0
\(553\) 0 0
\(554\) 0 0
\(555\) −3.11865 + 1.65822i −3.11865 + 1.65822i
\(556\) 0 0
\(557\) 0 0 0.913545 0.406737i \(-0.133333\pi\)
−0.913545 + 0.406737i \(0.866667\pi\)
\(558\) 0 0
\(559\) 0 0
\(560\) 0 0
\(561\) 0 0
\(562\) 0 0
\(563\) 0 0 −0.0348995 0.999391i \(-0.511111\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(564\) 0.671624 + 1.37703i 0.671624 + 1.37703i
\(565\) −1.26224 + 2.58797i −1.26224 + 2.58797i
\(566\) 0 0
\(567\) 0 0
\(568\) 0 0
\(569\) 0 0 −0.719340 0.694658i \(-0.755556\pi\)
0.719340 + 0.694658i \(0.244444\pi\)
\(570\) 0 0
\(571\) 0 0 0.939693 0.342020i \(-0.111111\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(572\) 0 0
\(573\) 1.53209 1.53209
\(574\) 0 0
\(575\) −2.31318 1.02989i −2.31318 1.02989i
\(576\) −0.997564 + 0.0697565i −0.997564 + 0.0697565i
\(577\) 1.83832 + 0.390746i 1.83832 + 0.390746i 0.990268 0.139173i \(-0.0444444\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(578\) 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
\(587\) −1.05094 1.55808i −1.05094 1.55808i −0.809017 0.587785i \(-0.800000\pi\)
−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
\(599\) 0.374607 0.927184i 0.374607 0.927184i −0.615661 0.788011i \(-0.711111\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(600\) 0 0
\(601\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(602\) 0 0
\(603\) 0.232387 + 0.258091i 0.232387 + 0.258091i
\(604\) 0 0
\(605\) 0 0
\(606\) 0 0
\(607\) 0 0 −0.882948 0.469472i \(-0.844444\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) 0 0
\(612\) 0 0
\(613\) 0 0 −0.913545 0.406737i \(-0.866667\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 0 0
\(617\) −0.326352 + 0.118782i −0.326352 + 0.118782i −0.500000 0.866025i \(-0.666667\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(618\) 0 0
\(619\) 1.35192 + 1.30553i 1.35192 + 1.30553i 0.913545 + 0.406737i \(0.133333\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(620\) 0.528048 + 0.383650i 0.528048 + 0.383650i
\(621\) −0.990268 + 0.139173i −0.990268 + 0.139173i
\(622\) 0 0
\(623\) 0 0
\(624\) 0 0
\(625\) 0.100489 + 2.87763i 0.100489 + 2.87763i
\(626\) 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 \(-0.577778\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(632\) 0 0
\(633\) 0 0
\(634\) 0 0
\(635\) 0 0
\(636\) 0.343916 + 0.0483343i 0.343916 + 0.0483343i
\(637\) 0 0
\(638\) 0 0
\(639\) 1.17365 0.984808i 1.17365 0.984808i
\(640\) 0 0
\(641\) −0.961262 + 0.275637i −0.961262 + 0.275637i −0.719340 0.694658i \(-0.755556\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(642\) 0 0
\(643\) 0.374607 0.927184i 0.374607 0.927184i −0.615661 0.788011i \(-0.711111\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) 0.618034 1.90211i 0.618034 1.90211i 0.309017 0.951057i \(-0.400000\pi\)
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
\(653\) 0.454664 + 1.82356i 0.454664 + 1.82356i 0.559193 + 0.829038i \(0.311111\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(654\) 0 0
\(655\) 0 0
\(656\) 0 0
\(657\) 0 0
\(658\) 0 0
\(659\) 0 0 0.766044 0.642788i \(-0.222222\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(660\) 0 0
\(661\) 0.266044 1.50881i 0.266044 1.50881i −0.500000 0.866025i \(-0.666667\pi\)
0.766044 0.642788i \(-0.222222\pi\)
\(662\) 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 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(674\) 0 0
\(675\) 1.41593 + 2.09920i 1.41593 + 2.09920i
\(676\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(677\) 0 0 0.882948 0.469472i \(-0.155556\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) 0 0
\(681\) 0 0
\(682\) 0 0
\(683\) −0.766044 1.32683i −0.766044 1.32683i −0.939693 0.342020i \(-0.888889\pi\)
0.173648 0.984808i \(-0.444444\pi\)
\(684\) 0 0
\(685\) 0.0682261 + 0.649128i 0.0682261 + 0.649128i
\(686\) 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 0.669131 + 0.743145i \(0.266667\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(692\) 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 \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(702\) 0 0
\(703\) 0 0
\(704\) 0 0
\(705\) 2.70574 0.984808i 2.70574 0.984808i
\(706\) 0 0
\(707\) 0 0
\(708\) 0.317271 0.141258i 0.317271 0.141258i
\(709\) −0.0655896 + 1.87824i −0.0655896 + 1.87824i 0.309017 + 0.951057i \(0.400000\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(710\) 0 0
\(711\) 0 0
\(712\) 0 0
\(713\) 0.130100 + 0.322008i 0.130100 + 0.322008i
\(714\) 0 0
\(715\) 0 0
\(716\) 0.0603074 0.342020i 0.0603074 0.342020i
\(717\) 0 0
\(718\) 0 0
\(719\) 1.39963 0.623157i 1.39963 0.623157i 0.438371 0.898794i \(-0.355556\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(720\) −0.0655896 + 1.87824i −0.0655896 + 1.87824i
\(721\) 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 0.766044 + 0.642788i \(0.222222\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(728\) 0 0
\(729\) 0.913545 + 0.406737i 0.913545 + 0.406737i
\(730\) 0 0
\(731\) 0 0
\(732\) 0 0
\(733\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(734\) 0 0
\(735\) −0.580762 + 1.78740i −0.580762 + 1.78740i
\(736\) 0 0
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 −0.669131 0.743145i \(-0.733333\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(740\) −0.854490 + 3.42717i −0.854490 + 3.42717i
\(741\) 0 0
\(742\) 0 0
\(743\) 0 0 0.990268 0.139173i \(-0.0444444\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(744\) 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 \(-0.755556\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(752\) 1.47274 + 0.422301i 1.47274 + 0.422301i
\(753\) −1.23132 1.57602i −1.23132 1.57602i
\(754\) 0 0
\(755\) 0 0
\(756\) 0 0
\(757\) 0.107320 0.330298i 0.107320 0.330298i −0.882948 0.469472i \(-0.844444\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 1.02517 1.13856i 1.02517 1.13856i
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) −0.615661 + 0.788011i −0.615661 + 0.788011i
\(769\) 0 0 0.173648 0.984808i \(-0.444444\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(770\) 0 0
\(771\) 0.939693 + 0.342020i 0.939693 + 0.342020i
\(772\) 0 0
\(773\) −0.209057 1.98904i −0.209057 1.98904i −0.104528 0.994522i \(-0.533333\pi\)
−0.104528 0.994522i \(-0.533333\pi\)
\(774\) 0 0
\(775\) 0.588424 0.653511i 0.588424 0.653511i
\(776\) 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
\(785\) −0.286126 + 0.586646i −0.286126 + 0.586646i
\(786\) 0 0
\(787\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 0 0
\(792\) 0 0
\(793\) 0 0
\(794\) 0 0
\(795\) 0.157903 0.633316i 0.157903 0.633316i
\(796\) −1.10209 + 1.06428i −1.10209 + 1.06428i
\(797\) −1.86110 + 0.261560i −1.86110 + 0.261560i −0.978148 0.207912i \(-0.933333\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(798\) 0 0
\(799\) 0 0
\(800\) 0 0
\(801\) −0.990268 0.139173i −0.990268 0.139173i
\(802\) 0 0
\(803\) 0 0
\(804\) 0.347296 0.347296