Properties

Label 3267.1.bf.a.2218.1
Level $3267$
Weight $1$
Character 3267.2218
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 2218.1
Root \(0.990268 - 0.139173i\) of defining polynomial
Character \(\chi\) \(=\) 3267.2218
Dual form 3267.1.bf.a.844.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0348995 + 0.999391i) q^{3} +(-0.374607 + 0.927184i) q^{4} +(0.671624 + 1.37703i) q^{5} +(-0.997564 + 0.0697565i) q^{9} +O(q^{10})\) \(q+(0.0348995 + 0.999391i) q^{3} +(-0.374607 + 0.927184i) q^{4} +(0.671624 + 1.37703i) q^{5} +(-0.997564 + 0.0697565i) q^{9} +(-0.939693 - 0.342020i) q^{12} +(-1.35275 + 0.719272i) q^{15} +(-0.719340 - 0.694658i) q^{16} +(-1.52836 + 0.106873i) q^{20} +(-0.766044 - 0.642788i) q^{23} +(-0.829478 + 1.06168i) q^{25} +(-0.104528 - 0.994522i) q^{27} +(0.454664 + 1.82356i) q^{31} +(0.309017 - 0.951057i) q^{36} +(-1.49861 - 0.318539i) q^{37} +(-0.766044 - 1.32683i) q^{45} +(-0.130100 - 0.322008i) q^{47} +(0.669131 - 0.743145i) q^{48} +(0.438371 + 0.898794i) q^{49} +(1.52045 + 1.10467i) q^{53} +(-1.86110 + 0.261560i) q^{59} +(-0.160147 - 1.52370i) q^{60} +(0.913545 - 0.406737i) q^{64} +(1.76604 - 0.642788i) q^{67} +(0.615661 - 0.788011i) q^{69} +(-0.0363024 - 0.345394i) q^{71} +(-1.08999 - 0.791921i) q^{75} +(0.473442 - 1.45710i) q^{80} +(0.990268 - 0.139173i) q^{81} +(0.500000 + 0.866025i) q^{89} +(0.882948 - 0.469472i) q^{92} +(-1.80658 + 0.518029i) q^{93} +(0.152245 - 0.312148i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 3 q^{5}+O(q^{10}) \) 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 \(\left(\mathbb{Z}/3267\mathbb{Z}\right)^\times\).

\(n\) \(244\) \(3026\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(e\left(\frac{1}{9}\right)\)

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 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(3\) 0.0348995 + 0.999391i 0.0348995 + 0.999391i
\(4\) −0.374607 + 0.927184i −0.374607 + 0.927184i
\(5\) 0.671624 + 1.37703i 0.671624 + 1.37703i 0.913545 + 0.406737i \(0.133333\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(6\) 0 0
\(7\) 0 0 −0.848048 0.529919i \(-0.822222\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(8\) 0 0
\(9\) −0.997564 + 0.0697565i −0.997564 + 0.0697565i
\(10\) 0 0
\(11\) 0 0
\(12\) −0.939693 0.342020i −0.939693 0.342020i
\(13\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(14\) 0 0
\(15\) −1.35275 + 0.719272i −1.35275 + 0.719272i
\(16\) −0.719340 0.694658i −0.719340 0.694658i
\(17\) 0 0 −0.104528 0.994522i \(-0.533333\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(18\) 0 0
\(19\) 0 0 0.978148 0.207912i \(-0.0666667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(20\) −1.52836 + 0.106873i −1.52836 + 0.106873i
\(21\) 0 0
\(22\) 0 0
\(23\) −0.766044 0.642788i −0.766044 0.642788i 0.173648 0.984808i \(-0.444444\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(24\) 0 0
\(25\) −0.829478 + 1.06168i −0.829478 + 1.06168i
\(26\) 0 0
\(27\) −0.104528 0.994522i −0.104528 0.994522i
\(28\) 0 0
\(29\) 0 0 0.0348995 0.999391i \(-0.488889\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(30\) 0 0
\(31\) 0.454664 + 1.82356i 0.454664 + 1.82356i 0.559193 + 0.829038i \(0.311111\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(32\) 0 0
\(33\) 0 0
\(34\) 0 0
\(35\) 0 0
\(36\) 0.309017 0.951057i 0.309017 0.951057i
\(37\) −1.49861 0.318539i −1.49861 0.318539i −0.615661 0.788011i \(-0.711111\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0 0
\(41\) 0 0 −0.0348995 0.999391i \(-0.511111\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(42\) 0 0
\(43\) 0 0 −0.173648 0.984808i \(-0.555556\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(44\) 0 0
\(45\) −0.766044 1.32683i −0.766044 1.32683i
\(46\) 0 0
\(47\) −0.130100 0.322008i −0.130100 0.322008i 0.848048 0.529919i \(-0.177778\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(48\) 0.669131 0.743145i 0.669131 0.743145i
\(49\) 0.438371 + 0.898794i 0.438371 + 0.898794i
\(50\) 0 0
\(51\) 0 0
\(52\) 0 0
\(53\) 1.52045 + 1.10467i 1.52045 + 1.10467i 0.961262 + 0.275637i \(0.0888889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(54\) 0 0
\(55\) 0 0
\(56\) 0 0
\(57\) 0 0
\(58\) 0 0
\(59\) −1.86110 + 0.261560i −1.86110 + 0.261560i −0.978148 0.207912i \(-0.933333\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(60\) −0.160147 1.52370i −0.160147 1.52370i
\(61\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(62\) 0 0
\(63\) 0 0
\(64\) 0.913545 0.406737i 0.913545 0.406737i
\(65\) 0 0
\(66\) 0 0
\(67\) 1.76604 0.642788i 1.76604 0.642788i 0.766044 0.642788i \(-0.222222\pi\)
1.00000 \(0\)
\(68\) 0 0
\(69\) 0.615661 0.788011i 0.615661 0.788011i
\(70\) 0 0
\(71\) −0.0363024 0.345394i −0.0363024 0.345394i −0.997564 0.0697565i \(-0.977778\pi\)
0.961262 0.275637i \(-0.0888889\pi\)
\(72\) 0 0
\(73\) 0 0 0.669131 0.743145i \(-0.266667\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(74\) 0 0
\(75\) −1.08999 0.791921i −1.08999 0.791921i
\(76\) 0 0
\(77\) 0 0
\(78\) 0 0
\(79\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(80\) 0.473442 1.45710i 0.473442 1.45710i
\(81\) 0.990268 0.139173i 0.990268 0.139173i
\(82\) 0 0
\(83\) 0 0 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(84\) 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
\(92\) 0.882948 0.469472i 0.882948 0.469472i
\(93\) −1.80658 + 0.518029i −1.80658 + 0.518029i
\(94\) 0 0
\(95\) 0 0
\(96\) 0 0
\(97\) 0.152245 0.312148i 0.152245 0.312148i −0.809017 0.587785i \(-0.800000\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) −0.673648 1.16679i −0.673648 1.16679i
\(101\) 0 0 0.997564 0.0697565i \(-0.0222222\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(102\) 0 0
\(103\) 1.51718 0.213226i 1.51718 0.213226i 0.669131 0.743145i \(-0.266667\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(104\) 0 0
\(105\) 0 0
\(106\) 0 0
\(107\) 0 0 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(108\) 0.961262 + 0.275637i 0.961262 + 0.275637i
\(109\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(110\) 0 0
\(111\) 0.266044 1.50881i 0.266044 1.50881i
\(112\) 0 0
\(113\) −0.306644 0.163046i −0.306644 0.163046i 0.309017 0.951057i \(-0.400000\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(114\) 0 0
\(115\) 0.370646 1.48658i 0.370646 1.48658i
\(116\) 0 0
\(117\) 0 0
\(118\) 0 0
\(119\) 0 0
\(120\) 0 0
\(121\) 0 0
\(122\) 0 0
\(123\) 0 0
\(124\) −1.86110 0.261560i −1.86110 0.261560i
\(125\) −0.520461 0.110628i −0.520461 0.110628i
\(126\) 0 0
\(127\) 0 0 −0.913545 0.406737i \(-0.866667\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(128\) 0 0
\(129\) 0 0
\(130\) 0 0
\(131\) 0 0 −0.766044 0.642788i \(-0.777778\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(132\) 0 0
\(133\) 0 0
\(134\) 0 0
\(135\) 1.29929 0.811883i 1.29929 0.811883i
\(136\) 0 0
\(137\) −1.80658 + 0.518029i −1.80658 + 0.518029i −0.997564 0.0697565i \(-0.977778\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(138\) 0 0
\(139\) 0 0 0.374607 0.927184i \(-0.377778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(140\) 0 0
\(141\) 0.317271 0.141258i 0.317271 0.141258i
\(142\) 0 0
\(143\) 0 0
\(144\) 0.766044 + 0.642788i 0.766044 + 0.642788i
\(145\) 0 0
\(146\) 0 0
\(147\) −0.882948 + 0.469472i −0.882948 + 0.469472i
\(148\) 0.856733 1.27016i 0.856733 1.27016i
\(149\) 0 0 0.559193 0.829038i \(-0.311111\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(150\) 0 0
\(151\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0 0
\(155\) −2.20574 + 1.85083i −2.20574 + 1.85083i
\(156\) 0 0
\(157\) 1.65940 + 0.882318i 1.65940 + 0.882318i 0.990268 + 0.139173i \(0.0444444\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(158\) 0 0
\(159\) −1.05094 + 1.55808i −1.05094 + 1.55808i
\(160\) 0 0
\(161\) 0 0
\(162\) 0 0
\(163\) −0.280969 0.204136i −0.280969 0.204136i 0.438371 0.898794i \(-0.355556\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) 0 0 0.719340 0.694658i \(-0.244444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(168\) 0 0
\(169\) 0.848048 + 0.529919i 0.848048 + 0.529919i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(174\) 0 0
\(175\) 0 0
\(176\) 0 0
\(177\) −0.326352 1.85083i −0.326352 1.85083i
\(178\) 0 0
\(179\) −1.25755 1.39666i −1.25755 1.39666i −0.882948 0.469472i \(-0.844444\pi\)
−0.374607 0.927184i \(-0.622222\pi\)
\(180\) 1.51718 0.213226i 1.51718 0.213226i
\(181\) 1.39963 + 0.623157i 1.39963 + 0.623157i 0.961262 0.275637i \(-0.0888889\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) −0.567862 2.27757i −0.567862 2.27757i
\(186\) 0 0
\(187\) 0 0
\(188\) 0.347296 0.347296
\(189\) 0 0
\(190\) 0 0
\(191\) 0.0121205 0.347085i 0.0121205 0.347085i −0.978148 0.207912i \(-0.933333\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(192\) 0.438371 + 0.898794i 0.438371 + 0.898794i
\(193\) 0 0 −0.997564 0.0697565i \(-0.977778\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) −0.997564 + 0.0697565i −0.997564 + 0.0697565i
\(197\) 0 0 −0.500000 0.866025i \(-0.666667\pi\)
0.500000 + 0.866025i \(0.333333\pi\)
\(198\) 0 0
\(199\) −0.173648 + 0.300767i −0.173648 + 0.300767i −0.939693 0.342020i \(-0.888889\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(200\) 0 0
\(201\) 0.704030 + 1.74254i 0.704030 + 1.74254i
\(202\) 0 0
\(203\) 0 0
\(204\) 0 0
\(205\) 0 0
\(206\) 0 0
\(207\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(208\) 0 0
\(209\) 0 0
\(210\) 0 0
\(211\) 0 0 0.719340 0.694658i \(-0.244444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(212\) −1.59381 + 0.995922i −1.59381 + 0.995922i
\(213\) 0.343916 0.0483343i 0.343916 0.0483343i
\(214\) 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
\(223\) 0.374607 + 0.927184i 0.374607 + 0.927184i 0.990268 + 0.139173i \(0.0444444\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(224\) 0 0
\(225\) 0.753399 1.11696i 0.753399 1.11696i
\(226\) 0 0
\(227\) 0 0 0.882948 0.469472i \(-0.155556\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(228\) 0 0
\(229\) −0.961262 0.275637i −0.961262 0.275637i −0.241922 0.970296i \(-0.577778\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(230\) 0 0
\(231\) 0 0
\(232\) 0 0
\(233\) 0 0 0.913545 0.406737i \(-0.133333\pi\)
−0.913545 + 0.406737i \(0.866667\pi\)
\(234\) 0 0
\(235\) 0.356037 0.395419i 0.356037 0.395419i
\(236\) 0.454664 1.82356i 0.454664 1.82356i
\(237\) 0 0
\(238\) 0 0
\(239\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(240\) 1.47274 + 0.422301i 1.47274 + 0.422301i
\(241\) 0 0 −0.939693 0.342020i \(-0.888889\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(242\) 0 0
\(243\) 0.173648 + 0.984808i 0.173648 + 0.984808i
\(244\) 0 0
\(245\) −0.943248 + 1.20730i −0.943248 + 1.20730i
\(246\) 0 0
\(247\) 0 0
\(248\) 0 0
\(249\) 0 0
\(250\) 0 0
\(251\) −0.209057 + 1.98904i −0.209057 + 1.98904i −0.104528 + 0.994522i \(0.533333\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(252\) 0 0
\(253\) 0 0
\(254\) 0 0
\(255\) 0 0
\(256\) 0.0348995 + 0.999391i 0.0348995 + 0.999391i
\(257\) 0.615661 + 0.788011i 0.615661 + 0.788011i 0.990268 0.139173i \(-0.0444444\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(258\) 0 0
\(259\) 0 0
\(260\) 0 0
\(261\) 0 0
\(262\) 0 0
\(263\) 0 0 0.766044 0.642788i \(-0.222222\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(264\) 0 0
\(265\) −0.500000 + 2.83564i −0.500000 + 2.83564i
\(266\) 0 0
\(267\) −0.848048 + 0.529919i −0.848048 + 0.529919i
\(268\) −0.0655896 + 1.87824i −0.0655896 + 1.87824i
\(269\) −0.280969 + 0.204136i −0.280969 + 0.204136i −0.719340 0.694658i \(-0.755556\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(270\) 0 0
\(271\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) 0 0
\(276\) 0.500000 + 0.866025i 0.500000 + 0.866025i
\(277\) 0 0 0.997564 0.0697565i \(-0.0222222\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(278\) 0 0
\(279\) −0.580762 1.78740i −0.580762 1.78740i
\(280\) 0 0
\(281\) 0 0 −0.719340 0.694658i \(-0.755556\pi\)
0.719340 + 0.694658i \(0.244444\pi\)
\(282\) 0 0
\(283\) 0 0 −0.0348995 0.999391i \(-0.511111\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(284\) 0.333843 + 0.0957278i 0.333843 + 0.0957278i
\(285\) 0 0
\(286\) 0 0
\(287\) 0 0
\(288\) 0 0
\(289\) −0.978148 + 0.207912i −0.978148 + 0.207912i
\(290\) 0 0
\(291\) 0.317271 + 0.141258i 0.317271 + 0.141258i
\(292\) 0 0
\(293\) 0 0 0.374607 0.927184i \(-0.377778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(294\) 0 0
\(295\) −1.61013 2.38712i −1.61013 2.38712i
\(296\) 0 0
\(297\) 0 0
\(298\) 0 0
\(299\) 0 0
\(300\) 1.14257 0.713958i 1.14257 0.713958i
\(301\) 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
\(309\) 0.266044 + 1.50881i 0.266044 + 1.50881i
\(310\) 0 0
\(311\) −0.0655896 1.87824i −0.0655896 1.87824i −0.374607 0.927184i \(-0.622222\pi\)
0.309017 0.951057i \(-0.400000\pi\)
\(312\) 0 0
\(313\) 0.719340 + 0.694658i 0.719340 + 0.694658i 0.961262 0.275637i \(-0.0888889\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(314\) 0 0
\(315\) 0 0
\(316\) 0 0
\(317\) −1.99513 + 0.139513i −1.99513 + 0.139513i −0.997564 + 0.0697565i \(0.977778\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(318\) 0 0
\(319\) 0 0
\(320\) 1.17365 + 0.984808i 1.17365 + 0.984808i
\(321\) 0 0
\(322\) 0 0
\(323\) 0 0
\(324\) −0.241922 + 0.970296i −0.241922 + 0.970296i
\(325\) 0 0
\(326\) 0 0
\(327\) 0 0
\(328\) 0 0
\(329\) 0 0
\(330\) 0 0
\(331\) 0.266044 0.223238i 0.266044 0.223238i −0.500000 0.866025i \(-0.666667\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(332\) 0 0
\(333\) 1.51718 + 0.213226i 1.51718 + 0.213226i
\(334\) 0 0
\(335\) 2.07126 + 2.00019i 2.07126 + 2.00019i
\(336\) 0 0
\(337\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(338\) 0 0
\(339\) 0.152245 0.312148i 0.152245 0.312148i
\(340\) 0 0
\(341\) 0 0
\(342\) 0 0
\(343\) 0 0
\(344\) 0 0
\(345\) 1.49861 + 0.318539i 1.49861 + 0.318539i
\(346\) 0 0
\(347\) 0 0 −0.997564 0.0697565i \(-0.977778\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(348\) 0 0
\(349\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0 0
\(353\) 0.939693 + 0.342020i 0.939693 + 0.342020i 0.766044 0.642788i \(-0.222222\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(354\) 0 0
\(355\) 0.451237 0.281964i 0.451237 0.281964i
\(356\) −0.990268 + 0.139173i −0.990268 + 0.139173i
\(357\) 0 0
\(358\) 0 0
\(359\) 0 0 0.669131 0.743145i \(-0.266667\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(360\) 0 0
\(361\) 0.913545 0.406737i 0.913545 0.406737i
\(362\) 0 0
\(363\) 0 0
\(364\) 0 0
\(365\) 0 0
\(366\) 0 0
\(367\) −0.306644 + 0.163046i −0.306644 + 0.163046i −0.615661 0.788011i \(-0.711111\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(368\) 0.104528 + 0.994522i 0.104528 + 0.994522i
\(369\) 0 0
\(370\) 0 0
\(371\) 0 0
\(372\) 0.196449 1.86909i 0.196449 1.86909i
\(373\) 0 0 0.173648 0.984808i \(-0.444444\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(374\) 0 0
\(375\) 0.0923963 0.524005i 0.0923963 0.524005i
\(376\) 0 0
\(377\) 0 0
\(378\) 0 0
\(379\) 0.809017 0.587785i 0.809017 0.587785i −0.104528 0.994522i \(-0.533333\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) 1.35192 1.30553i 1.35192 1.30553i 0.438371 0.898794i \(-0.355556\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(384\) 0 0
\(385\) 0 0
\(386\) 0 0
\(387\) 0 0
\(388\) 0.232387 + 0.258091i 0.232387 + 0.258091i
\(389\) −0.306644 + 0.163046i −0.306644 + 0.163046i −0.615661 0.788011i \(-0.711111\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(390\) 0 0
\(391\) 0 0
\(392\) 0 0
\(393\) 0 0
\(394\) 0 0
\(395\) 0 0
\(396\) 0 0
\(397\) 0.939693 + 1.62760i 0.939693 + 1.62760i 0.766044 + 0.642788i \(0.222222\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(398\) 0 0
\(399\) 0 0
\(400\) 1.33418 0.187507i 1.33418 0.187507i
\(401\) −1.52836 0.106873i −1.52836 0.106873i −0.719340 0.694658i \(-0.755556\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(402\) 0 0
\(403\) 0 0
\(404\) 0 0
\(405\) 0.856733 + 1.27016i 0.856733 + 1.27016i
\(406\) 0 0
\(407\) 0 0
\(408\) 0 0
\(409\) 0 0 −0.241922 0.970296i \(-0.577778\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(410\) 0 0
\(411\) −0.580762 1.78740i −0.580762 1.78740i
\(412\) −0.370646 + 1.48658i −0.370646 + 1.48658i
\(413\) 0 0
\(414\) 0 0
\(415\) 0 0
\(416\) 0 0
\(417\) 0 0
\(418\) 0 0
\(419\) −1.43969 + 0.524005i −1.43969 + 0.524005i −0.939693 0.342020i \(-0.888889\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(420\) 0 0
\(421\) 1.51718 + 0.213226i 1.51718 + 0.213226i 0.848048 0.529919i \(-0.177778\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(422\) 0 0
\(423\) 0.152245 + 0.312148i 0.152245 + 0.312148i
\(424\) 0 0
\(425\) 0 0
\(426\) 0 0
\(427\) 0 0
\(428\) 0 0
\(429\) 0 0
\(430\) 0 0
\(431\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(432\) −0.615661 + 0.788011i −0.615661 + 0.788011i
\(433\) −0.309017 0.951057i −0.309017 0.951057i −0.978148 0.207912i \(-0.933333\pi\)
0.669131 0.743145i \(-0.266667\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 0 0
\(437\) 0 0
\(438\) 0 0
\(439\) 0 0 0.766044 0.642788i \(-0.222222\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(440\) 0 0
\(441\) −0.500000 0.866025i −0.500000 0.866025i
\(442\) 0 0
\(443\) 1.51718 + 0.213226i 1.51718 + 0.213226i 0.848048 0.529919i \(-0.177778\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(444\) 1.29929 + 0.811883i 1.29929 + 0.811883i
\(445\) −0.856733 + 1.27016i −0.856733 + 1.27016i
\(446\) 0 0
\(447\) 0 0
\(448\) 0 0
\(449\) 1.39963 0.623157i 1.39963 0.623157i 0.438371 0.898794i \(-0.355556\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(450\) 0 0
\(451\) 0 0
\(452\) 0.266044 0.223238i 0.266044 0.223238i
\(453\) 0 0
\(454\) 0 0
\(455\) 0 0
\(456\) 0 0
\(457\) 0 0 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) 1.23949 + 0.900539i 1.23949 + 0.900539i
\(461\) 0 0 −0.939693 0.342020i \(-0.888889\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(462\) 0 0
\(463\) −0.766044 0.642788i −0.766044 0.642788i 0.173648 0.984808i \(-0.444444\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(464\) 0 0
\(465\) −1.92668 2.13980i −1.92668 2.13980i
\(466\) 0 0
\(467\) 0.317271 + 0.141258i 0.317271 + 0.141258i 0.559193 0.829038i \(-0.311111\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(468\) 0 0
\(469\) 0 0
\(470\) 0 0
\(471\) −0.823868 + 1.68918i −0.823868 + 1.68918i
\(472\) 0 0
\(473\) 0 0
\(474\) 0 0
\(475\) 0 0
\(476\) 0 0
\(477\) −1.59381 0.995922i −1.59381 0.995922i
\(478\) 0 0
\(479\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(480\) 0 0
\(481\) 0 0
\(482\) 0 0
\(483\) 0 0
\(484\) 0 0
\(485\) 0.532089 0.532089
\(486\) 0 0
\(487\) 0.473442 1.45710i 0.473442 1.45710i −0.374607 0.927184i \(-0.622222\pi\)
0.848048 0.529919i \(-0.177778\pi\)
\(488\) 0 0
\(489\) 0.194206 0.287922i 0.194206 0.287922i
\(490\) 0 0
\(491\) 0 0 0.990268 0.139173i \(-0.0444444\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(492\) 0 0
\(493\) 0 0
\(494\) 0 0
\(495\) 0 0
\(496\) 0.939693 1.62760i 0.939693 1.62760i
\(497\) 0 0
\(498\) 0 0
\(499\) −0.943248 1.20730i −0.943248 1.20730i −0.978148 0.207912i \(-0.933333\pi\)
0.0348995 0.999391i \(-0.488889\pi\)
\(500\) 0.297540 0.441122i 0.297540 0.441122i
\(501\) 0 0
\(502\) 0 0
\(503\) 0 0 −0.669131 0.743145i \(-0.733333\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(504\) 0 0
\(505\) 0 0
\(506\) 0 0
\(507\) −0.500000 + 0.866025i −0.500000 + 0.866025i
\(508\) 0 0
\(509\) −0.848048 + 0.529919i −0.848048 + 0.529919i −0.882948 0.469472i \(-0.844444\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) 0 0
\(513\) 0 0
\(514\) 0 0
\(515\) 1.31259 + 1.94600i 1.31259 + 1.94600i
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) 1.02517 1.13856i 1.02517 1.13856i 0.0348995 0.999391i \(-0.488889\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(522\) 0 0
\(523\) 0 0 −0.104528 0.994522i \(-0.533333\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(524\) 0 0
\(525\) 0 0
\(526\) 0 0
\(527\) 0 0
\(528\) 0 0
\(529\) 0 0
\(530\) 0 0
\(531\) 1.83832 0.390746i 1.83832 0.390746i
\(532\) 0 0
\(533\) 0 0
\(534\) 0 0
\(535\) 0 0
\(536\) 0 0
\(537\) 1.35192 1.30553i 1.35192 1.30553i
\(538\) 0 0
\(539\) 0 0
\(540\) 0.266044 + 1.50881i 0.266044 + 1.50881i
\(541\) 0 0 −0.809017 0.587785i \(-0.800000\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(542\) 0 0
\(543\) −0.573931 + 1.42053i −0.573931 + 1.42053i
\(544\) 0 0
\(545\) 0 0
\(546\) 0 0
\(547\) 0 0 −0.374607 0.927184i \(-0.622222\pi\)
0.374607 + 0.927184i \(0.377778\pi\)
\(548\) 0.196449 1.86909i 0.196449 1.86909i
\(549\) 0 0
\(550\) 0 0
\(551\) 0 0
\(552\) 0 0
\(553\) 0 0
\(554\) 0 0
\(555\) 2.25637 0.647003i 2.25637 0.647003i
\(556\) 0 0
\(557\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(558\) 0 0
\(559\) 0 0
\(560\) 0 0
\(561\) 0 0
\(562\) 0 0
\(563\) 0 0 −0.241922 0.970296i \(-0.577778\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(564\) 0.0121205 + 0.347085i 0.0121205 + 0.347085i
\(565\) 0.0185696 0.531765i 0.0185696 0.531765i
\(566\) 0 0
\(567\) 0 0
\(568\) 0 0
\(569\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(570\) 0 0
\(571\) 0 0 −0.766044 0.642788i \(-0.777778\pi\)
0.766044 + 0.642788i \(0.222222\pi\)
\(572\) 0 0
\(573\) 0.347296 0.347296
\(574\) 0 0
\(575\) 1.31785 0.280119i 1.31785 0.280119i
\(576\) −0.882948 + 0.469472i −0.882948 + 0.469472i
\(577\) −0.160147 1.52370i −0.160147 1.52370i −0.719340 0.694658i \(-0.755556\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(578\) 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
\(587\) 1.29929 + 0.811883i 1.29929 + 0.811883i 0.990268 0.139173i \(-0.0444444\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(588\) −0.104528 0.994522i −0.104528 0.994522i
\(589\) 0 0
\(590\) 0 0
\(591\) 0 0
\(592\) 0.856733 + 1.27016i 0.856733 + 1.27016i
\(593\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(594\) 0 0
\(595\) 0 0
\(596\) 0 0
\(597\) −0.306644 0.163046i −0.306644 0.163046i
\(598\) 0 0
\(599\) −0.438371 0.898794i −0.438371 0.898794i −0.997564 0.0697565i \(-0.977778\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(600\) 0 0
\(601\) 0 0 −0.848048 0.529919i \(-0.822222\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(602\) 0 0
\(603\) −1.71690 + 0.764415i −1.71690 + 0.764415i
\(604\) 0 0
\(605\) 0 0
\(606\) 0 0
\(607\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) 0 0
\(612\) 0 0
\(613\) 0 0 0.978148 0.207912i \(-0.0666667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 0 0
\(617\) −1.43969 1.20805i −1.43969 1.20805i −0.939693 0.342020i \(-0.888889\pi\)
−0.500000 0.866025i \(-0.666667\pi\)
\(618\) 0 0
\(619\) −0.943248 + 1.20730i −0.943248 + 1.20730i 0.0348995 + 0.999391i \(0.488889\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(620\) −0.889779 2.73846i −0.889779 2.73846i
\(621\) −0.559193 + 0.829038i −0.559193 + 0.829038i
\(622\) 0 0
\(623\) 0 0
\(624\) 0 0
\(625\) 0.128724 + 0.516284i 0.128724 + 0.516284i
\(626\) 0 0
\(627\) 0 0
\(628\) −1.43969 + 1.20805i −1.43969 + 1.20805i
\(629\) 0 0
\(630\) 0 0
\(631\) 1.83832 + 0.390746i 1.83832 + 0.390746i 0.990268 0.139173i \(-0.0444444\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(632\) 0 0
\(633\) 0 0
\(634\) 0 0
\(635\) 0 0
\(636\) −1.05094 1.55808i −1.05094 1.55808i
\(637\) 0 0
\(638\) 0 0
\(639\) 0.0603074 + 0.342020i 0.0603074 + 0.342020i
\(640\) 0 0
\(641\) 0.374607 + 0.927184i 0.374607 + 0.927184i 0.990268 + 0.139173i \(0.0444444\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(642\) 0 0
\(643\) −0.438371 0.898794i −0.438371 0.898794i −0.997564 0.0697565i \(-0.977778\pi\)
0.559193 0.829038i \(-0.311111\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) −1.61803 1.17557i −1.61803 1.17557i −0.809017 0.587785i \(-0.800000\pi\)
−0.809017 0.587785i \(-0.800000\pi\)
\(648\) 0 0
\(649\) 0 0
\(650\) 0 0
\(651\) 0 0
\(652\) 0.294524 0.184039i 0.294524 0.184039i
\(653\) 1.51718 0.213226i 1.51718 0.213226i 0.669131 0.743145i \(-0.266667\pi\)
0.848048 + 0.529919i \(0.177778\pi\)
\(654\) 0 0
\(655\) 0 0
\(656\) 0 0
\(657\) 0 0
\(658\) 0 0
\(659\) 0 0 −0.173648 0.984808i \(-0.555556\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(660\) 0 0
\(661\) −0.326352 + 0.118782i −0.326352 + 0.118782i −0.500000 0.866025i \(-0.666667\pi\)
0.173648 + 0.984808i \(0.444444\pi\)
\(662\) 0 0
\(663\) 0 0
\(664\) 0 0
\(665\) 0 0
\(666\) 0 0
\(667\) 0 0
\(668\) 0 0
\(669\) −0.913545 + 0.406737i −0.913545 + 0.406737i
\(670\) 0 0
\(671\) 0 0
\(672\) 0 0
\(673\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(674\) 0 0
\(675\) 1.14257 + 0.713958i 1.14257 + 0.713958i
\(676\) −0.809017 + 0.587785i −0.809017 + 0.587785i
\(677\) 0 0 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) 0 0
\(681\) 0 0
\(682\) 0 0
\(683\) −0.173648 0.300767i −0.173648 0.300767i 0.766044 0.642788i \(-0.222222\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(684\) 0 0
\(685\) −1.92668 2.13980i −1.92668 2.13980i
\(686\) 0 0
\(687\) 0.241922 0.970296i 0.241922 0.970296i
\(688\) 0 0
\(689\) 0 0
\(690\) 0 0
\(691\) 0.671624 1.37703i 0.671624 1.37703i −0.241922 0.970296i \(-0.577778\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(692\) 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 0.309017 0.951057i \(-0.400000\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(702\) 0 0
\(703\) 0 0
\(704\) 0 0
\(705\) 0.407604 + 0.342020i 0.407604 + 0.342020i
\(706\) 0 0
\(707\) 0 0
\(708\) 1.83832 + 0.390746i 1.83832 + 0.390746i
\(709\) −0.370646 + 1.48658i −0.370646 + 1.48658i 0.438371 + 0.898794i \(0.355556\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(710\) 0 0
\(711\) 0 0
\(712\) 0 0
\(713\) 0.823868 1.68918i 0.823868 1.68918i
\(714\) 0 0
\(715\) 0 0
\(716\) 1.76604 0.642788i 1.76604 0.642788i
\(717\) 0 0
\(718\) 0 0
\(719\) −0.339707 0.0722070i −0.339707 0.0722070i 0.0348995 0.999391i \(-0.488889\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(720\) −0.370646 + 1.48658i −0.370646 + 1.48658i
\(721\) 0 0
\(722\) 0 0
\(723\) 0 0
\(724\) −1.10209 + 1.06428i −1.10209 + 1.06428i
\(725\) 0 0
\(726\) 0 0
\(727\) −0.326352 0.118782i −0.326352 0.118782i 0.173648 0.984808i \(-0.444444\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(728\) 0 0
\(729\) −0.978148 + 0.207912i −0.978148 + 0.207912i
\(730\) 0 0
\(731\) 0 0
\(732\) 0 0
\(733\) 0 0 0.374607 0.927184i \(-0.377778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(734\) 0 0
\(735\) −1.23949 0.900539i −1.23949 0.900539i
\(736\) 0 0
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 0.913545 0.406737i \(-0.133333\pi\)
−0.913545 + 0.406737i \(0.866667\pi\)
\(740\) 2.32445 + 0.326681i 2.32445 + 0.326681i
\(741\) 0 0
\(742\) 0 0
\(743\) 0 0 0.559193 0.829038i \(-0.311111\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(744\) 0 0
\(745\) 0 0
\(746\) 0 0
\(747\) 0 0
\(748\) 0 0
\(749\) 0 0
\(750\) 0 0
\(751\) −0.306644 0.163046i −0.306644 0.163046i 0.309017 0.951057i \(-0.400000\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(752\) −0.130100 + 0.322008i −0.130100 + 0.322008i
\(753\) −1.99513 0.139513i −1.99513 0.139513i
\(754\) 0 0
\(755\) 0 0
\(756\) 0 0
\(757\) 1.52045 + 1.10467i 1.52045 + 1.10467i 0.961262 + 0.275637i \(0.0888889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) 0 0 0.719340 0.694658i \(-0.244444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 0.317271 + 0.141258i 0.317271 + 0.141258i
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) −0.997564 + 0.0697565i −0.997564 + 0.0697565i
\(769\) 0 0 0.939693 0.342020i \(-0.111111\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(770\) 0 0
\(771\) −0.766044 + 0.642788i −0.766044 + 0.642788i
\(772\) 0 0
\(773\) 1.33826 + 1.48629i 1.33826 + 1.48629i 0.669131 + 0.743145i \(0.266667\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(774\) 0 0
\(775\) −2.31318 1.02989i −2.31318 1.02989i
\(776\) 0 0
\(777\) 0 0
\(778\) 0 0
\(779\) 0 0
\(780\) 0 0
\(781\) 0 0
\(782\) 0 0
\(783\) 0 0
\(784\) 0.309017 0.951057i 0.309017 0.951057i
\(785\) −0.100489 + 2.87763i −0.100489 + 2.87763i
\(786\) 0 0
\(787\) 0 0 −0.997564 0.0697565i \(-0.977778\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 0 0
\(792\) 0 0
\(793\) 0 0
\(794\) 0 0
\(795\) −2.85136 0.400733i −2.85136 0.400733i
\(796\) −0.213817 0.273673i −0.213817 0.273673i
\(797\) 0.856733 1.27016i 0.856733 1.27016i −0.104528 0.994522i \(-0.533333\pi\)
0.961262 0.275637i \(-0.0888889\pi\)
\(798\) 0 0
\(799\) 0 0
\(800\) 0 0
\(801\) −0.559193 0.829038i −0.559193 0.829038i
\(802\) 0 0
\(803\) 0 0
\(804\) −1.87939 −1.87939