Properties

Label 3267.1.be.a.1697.1
Level $3267$
Weight $1$
Character 3267.1697
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 1697.1
Root \(-0.882948 + 0.469472i\) of defining polynomial
Character \(\chi\) \(=\) 3267.1697
Dual form 3267.1.be.a.1775.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.615661 + 0.788011i) q^{3} +(0.848048 - 0.529919i) q^{4} +(0.893036 + 0.924765i) q^{5} +(-0.241922 + 0.970296i) q^{9} +O(q^{10})\) \(q+(0.615661 + 0.788011i) q^{3} +(0.848048 - 0.529919i) q^{4} +(0.893036 + 0.924765i) q^{5} +(-0.241922 + 0.970296i) q^{9} +(0.939693 + 0.342020i) q^{12} +(-0.178917 + 1.27306i) q^{15} +(0.438371 - 0.898794i) q^{16} +(1.24739 + 0.311009i) q^{20} +(1.11334 - 1.32683i) q^{23} +(-0.0227790 + 0.652306i) q^{25} +(-0.913545 + 0.406737i) q^{27} +(-1.87481 - 0.131099i) q^{31} +(0.309017 + 0.951057i) q^{36} +(-1.02517 - 1.13856i) q^{37} +(-1.11334 + 0.642788i) q^{45} +(-1.04374 + 1.67033i) q^{47} +(0.978148 - 0.207912i) q^{48} +(0.719340 - 0.694658i) q^{49} +(0.402069 + 0.553400i) q^{53} +(0.321137 - 0.603972i) q^{59} +(0.522891 + 1.17443i) q^{60} +(-0.104528 - 0.994522i) q^{64} +(-1.76604 + 0.642788i) q^{67} +(1.73100 + 0.0604477i) q^{69} +(0.801115 + 1.79933i) q^{71} +(-0.528048 + 0.383650i) q^{75} +(1.22265 - 0.397265i) q^{80} +(-0.882948 - 0.469472i) q^{81} +(-1.50000 + 0.866025i) q^{89} +(0.241055 - 1.71519i) q^{92} +(-1.05094 - 1.55808i) q^{93} +(-0.249824 - 0.241252i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 3 q^{5}+O(q^{10}) \) 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 \(\left(\mathbb{Z}/3267\mathbb{Z}\right)^\times\).

\(n\) \(244\) \(3026\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{11}{18}\right)\)

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 0.961262 0.275637i \(-0.0888889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(3\) 0.615661 + 0.788011i 0.615661 + 0.788011i
\(4\) 0.848048 0.529919i 0.848048 0.529919i
\(5\) 0.893036 + 0.924765i 0.893036 + 0.924765i 0.997564 0.0697565i \(-0.0222222\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(6\) 0 0
\(7\) 0 0 0.927184 0.374607i \(-0.122222\pi\)
−0.927184 + 0.374607i \(0.877778\pi\)
\(8\) 0 0
\(9\) −0.241922 + 0.970296i −0.241922 + 0.970296i
\(10\) 0 0
\(11\) 0 0
\(12\) 0.939693 + 0.342020i 0.939693 + 0.342020i
\(13\) 0 0 −0.829038 0.559193i \(-0.811111\pi\)
0.829038 + 0.559193i \(0.188889\pi\)
\(14\) 0 0
\(15\) −0.178917 + 1.27306i −0.178917 + 1.27306i
\(16\) 0.438371 0.898794i 0.438371 0.898794i
\(17\) 0 0 0.913545 0.406737i \(-0.133333\pi\)
−0.913545 + 0.406737i \(0.866667\pi\)
\(18\) 0 0
\(19\) 0 0 −0.743145 0.669131i \(-0.766667\pi\)
0.743145 + 0.669131i \(0.233333\pi\)
\(20\) 1.24739 + 0.311009i 1.24739 + 0.311009i
\(21\) 0 0
\(22\) 0 0
\(23\) 1.11334 1.32683i 1.11334 1.32683i 0.173648 0.984808i \(-0.444444\pi\)
0.939693 0.342020i \(-0.111111\pi\)
\(24\) 0 0
\(25\) −0.0227790 + 0.652306i −0.0227790 + 0.652306i
\(26\) 0 0
\(27\) −0.913545 + 0.406737i −0.913545 + 0.406737i
\(28\) 0 0
\(29\) 0 0 0.615661 0.788011i \(-0.288889\pi\)
−0.615661 + 0.788011i \(0.711111\pi\)
\(30\) 0 0
\(31\) −1.87481 0.131099i −1.87481 0.131099i −0.913545 0.406737i \(-0.866667\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(32\) 0 0
\(33\) 0 0
\(34\) 0 0
\(35\) 0 0
\(36\) 0.309017 + 0.951057i 0.309017 + 0.951057i
\(37\) −1.02517 1.13856i −1.02517 1.13856i −0.990268 0.139173i \(-0.955556\pi\)
−0.0348995 0.999391i \(-0.511111\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0 0
\(41\) 0 0 −0.615661 0.788011i \(-0.711111\pi\)
0.615661 + 0.788011i \(0.288889\pi\)
\(42\) 0 0
\(43\) 0 0 0.984808 0.173648i \(-0.0555556\pi\)
−0.984808 + 0.173648i \(0.944444\pi\)
\(44\) 0 0
\(45\) −1.11334 + 0.642788i −1.11334 + 0.642788i
\(46\) 0 0
\(47\) −1.04374 + 1.67033i −1.04374 + 1.67033i −0.374607 + 0.927184i \(0.622222\pi\)
−0.669131 + 0.743145i \(0.733333\pi\)
\(48\) 0.978148 0.207912i 0.978148 0.207912i
\(49\) 0.719340 0.694658i 0.719340 0.694658i
\(50\) 0 0
\(51\) 0 0
\(52\) 0 0
\(53\) 0.402069 + 0.553400i 0.402069 + 0.553400i 0.961262 0.275637i \(-0.0888889\pi\)
−0.559193 + 0.829038i \(0.688889\pi\)
\(54\) 0 0
\(55\) 0 0
\(56\) 0 0
\(57\) 0 0
\(58\) 0 0
\(59\) 0.321137 0.603972i 0.321137 0.603972i −0.669131 0.743145i \(-0.733333\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(60\) 0.522891 + 1.17443i 0.522891 + 1.17443i
\(61\) 0 0 −0.0697565 0.997564i \(-0.522222\pi\)
0.0697565 + 0.997564i \(0.477778\pi\)
\(62\) 0 0
\(63\) 0 0
\(64\) −0.104528 0.994522i −0.104528 0.994522i
\(65\) 0 0
\(66\) 0 0
\(67\) −1.76604 + 0.642788i −1.76604 + 0.642788i −0.766044 + 0.642788i \(0.777778\pi\)
−1.00000 \(1.00000\pi\)
\(68\) 0 0
\(69\) 1.73100 + 0.0604477i 1.73100 + 0.0604477i
\(70\) 0 0
\(71\) 0.801115 + 1.79933i 0.801115 + 1.79933i 0.559193 + 0.829038i \(0.311111\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(72\) 0 0
\(73\) 0 0 −0.207912 0.978148i \(-0.566667\pi\)
0.207912 + 0.978148i \(0.433333\pi\)
\(74\) 0 0
\(75\) −0.528048 + 0.383650i −0.528048 + 0.383650i
\(76\) 0 0
\(77\) 0 0
\(78\) 0 0
\(79\) 0 0 −0.275637 0.961262i \(-0.588889\pi\)
0.275637 + 0.961262i \(0.411111\pi\)
\(80\) 1.22265 0.397265i 1.22265 0.397265i
\(81\) −0.882948 0.469472i −0.882948 0.469472i
\(82\) 0 0
\(83\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(84\) 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
\(92\) 0.241055 1.71519i 0.241055 1.71519i
\(93\) −1.05094 1.55808i −1.05094 1.55808i
\(94\) 0 0
\(95\) 0 0
\(96\) 0 0
\(97\) −0.249824 0.241252i −0.249824 0.241252i 0.559193 0.829038i \(-0.311111\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) 0.326352 + 0.565258i 0.326352 + 0.565258i
\(101\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(102\) 0 0
\(103\) −1.35275 0.719272i −1.35275 0.719272i −0.374607 0.927184i \(-0.622222\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(104\) 0 0
\(105\) 0 0
\(106\) 0 0
\(107\) 0 0 −0.309017 0.951057i \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(108\) −0.559193 + 0.829038i −0.559193 + 0.829038i
\(109\) 0 0 1.00000i \(-0.5\pi\)
1.00000i \(0.5\pi\)
\(110\) 0 0
\(111\) 0.266044 1.50881i 0.266044 1.50881i
\(112\) 0 0
\(113\) −0.274117 1.95045i −0.274117 1.95045i −0.309017 0.951057i \(-0.600000\pi\)
0.0348995 0.999391i \(-0.488889\pi\)
\(114\) 0 0
\(115\) 2.22126 0.155325i 2.22126 0.155325i
\(116\) 0 0
\(117\) 0 0
\(118\) 0 0
\(119\) 0 0
\(120\) 0 0
\(121\) 0 0
\(122\) 0 0
\(123\) 0 0
\(124\) −1.65940 + 0.882318i −1.65940 + 0.882318i
\(125\) 0.331796 0.298750i 0.331796 0.298750i
\(126\) 0 0
\(127\) 0 0 −0.994522 0.104528i \(-0.966667\pi\)
0.994522 + 0.104528i \(0.0333333\pi\)
\(128\) 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
\(135\) −1.19196 0.481585i −1.19196 0.481585i
\(136\) 0 0
\(137\) 0.567095 0.382510i 0.567095 0.382510i −0.241922 0.970296i \(-0.577778\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(138\) 0 0
\(139\) 0 0 −0.529919 0.848048i \(-0.677778\pi\)
0.529919 + 0.848048i \(0.322222\pi\)
\(140\) 0 0
\(141\) −1.95883 + 0.205881i −1.95883 + 0.205881i
\(142\) 0 0
\(143\) 0 0
\(144\) 0.766044 + 0.642788i 0.766044 + 0.642788i
\(145\) 0 0
\(146\) 0 0
\(147\) 0.990268 + 0.139173i 0.990268 + 0.139173i
\(148\) −1.47274 0.422301i −1.47274 0.422301i
\(149\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(150\) 0 0
\(151\) 0 0 −0.469472 0.882948i \(-0.655556\pi\)
0.469472 + 0.882948i \(0.344444\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0 0
\(155\) −1.55303 1.85083i −1.55303 1.85083i
\(156\) 0 0
\(157\) 1.86110 0.261560i 1.86110 0.261560i 0.882948 0.469472i \(-0.155556\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(158\) 0 0
\(159\) −0.188547 + 0.657542i −0.188547 + 0.657542i
\(160\) 0 0
\(161\) 0 0
\(162\) 0 0
\(163\) −0.280969 + 0.204136i −0.280969 + 0.204136i −0.719340 0.694658i \(-0.755556\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) 0 0 −0.438371 0.898794i \(-0.644444\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(168\) 0 0
\(169\) 0.374607 + 0.927184i 0.374607 + 0.927184i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) 0 0 0.882948 0.469472i \(-0.155556\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(174\) 0 0
\(175\) 0 0
\(176\) 0 0
\(177\) 0.673648 0.118782i 0.673648 0.118782i
\(178\) 0 0
\(179\) 0.142220 0.669092i 0.142220 0.669092i −0.848048 0.529919i \(-0.822222\pi\)
0.990268 0.139173i \(-0.0444444\pi\)
\(180\) −0.603541 + 1.13510i −0.603541 + 1.13510i
\(181\) −0.160147 + 1.52370i −0.160147 + 1.52370i 0.559193 + 0.829038i \(0.311111\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) 0.137393 1.96482i 0.137393 1.96482i
\(186\) 0 0
\(187\) 0 0
\(188\) 1.96962i 1.96962i
\(189\) 0 0
\(190\) 0 0
\(191\) 1.55208 + 1.21262i 1.55208 + 1.21262i 0.882948 + 0.469472i \(0.155556\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(192\) 0.719340 0.694658i 0.719340 0.694658i
\(193\) 0 0 0.970296 0.241922i \(-0.0777778\pi\)
−0.970296 + 0.241922i \(0.922222\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) 0.241922 0.970296i 0.241922 0.970296i
\(197\) 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 −0.766044 0.642788i \(-0.777778\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(200\) 0 0
\(201\) −1.59381 0.995922i −1.59381 0.995922i
\(202\) 0 0
\(203\) 0 0
\(204\) 0 0
\(205\) 0 0
\(206\) 0 0
\(207\) 1.01807 + 1.40126i 1.01807 + 1.40126i
\(208\) 0 0
\(209\) 0 0
\(210\) 0 0
\(211\) 0 0 0.898794 0.438371i \(-0.144444\pi\)
−0.898794 + 0.438371i \(0.855556\pi\)
\(212\) 0.634231 + 0.256246i 0.634231 + 0.256246i
\(213\) −0.924678 + 1.73907i −0.924678 + 1.73907i
\(214\) 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
\(223\) −0.848048 0.529919i −0.848048 0.529919i 0.0348995 0.999391i \(-0.488889\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(224\) 0 0
\(225\) −0.627419 0.179910i −0.627419 0.179910i
\(226\) 0 0
\(227\) 0 0 −0.990268 0.139173i \(-0.955556\pi\)
0.990268 + 0.139173i \(0.0444444\pi\)
\(228\) 0 0
\(229\) 0.559193 0.829038i 0.559193 0.829038i −0.438371 0.898794i \(-0.644444\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(230\) 0 0
\(231\) 0 0
\(232\) 0 0
\(233\) 0 0 −0.104528 0.994522i \(-0.533333\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(234\) 0 0
\(235\) −2.47676 + 0.526451i −2.47676 + 0.526451i
\(236\) −0.0477162 0.682374i −0.0477162 0.682374i
\(237\) 0 0
\(238\) 0 0
\(239\) 0 0 0.374607 0.927184i \(-0.377778\pi\)
−0.374607 + 0.927184i \(0.622222\pi\)
\(240\) 1.06579 + 0.718885i 1.06579 + 0.718885i
\(241\) 0 0 0.342020 0.939693i \(-0.388889\pi\)
−0.342020 + 0.939693i \(0.611111\pi\)
\(242\) 0 0
\(243\) −0.173648 0.984808i −0.173648 0.984808i
\(244\) 0 0
\(245\) 1.28479 + 0.0448659i 1.28479 + 0.0448659i
\(246\) 0 0
\(247\) 0 0
\(248\) 0 0
\(249\) 0 0
\(250\) 0 0
\(251\) 0 0 −0.913545 0.406737i \(-0.866667\pi\)
0.913545 + 0.406737i \(0.133333\pi\)
\(252\) 0 0
\(253\) 0 0
\(254\) 0 0
\(255\) 0 0
\(256\) −0.615661 0.788011i −0.615661 0.788011i
\(257\) 1.73100 0.0604477i 1.73100 0.0604477i 0.848048 0.529919i \(-0.177778\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(258\) 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
\(265\) −0.152704 + 0.866025i −0.152704 + 0.866025i
\(266\) 0 0
\(267\) −1.60593 0.648838i −1.60593 0.648838i
\(268\) −1.15707 + 1.48098i −1.15707 + 1.48098i
\(269\) −1.15771 + 1.59345i −1.15771 + 1.59345i −0.438371 + 0.898794i \(0.644444\pi\)
−0.719340 + 0.694658i \(0.755556\pi\)
\(270\) 0 0
\(271\) 0 0 −0.951057 0.309017i \(-0.900000\pi\)
0.951057 + 0.309017i \(0.100000\pi\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) 0 0
\(276\) 1.50000 0.866025i 1.50000 0.866025i
\(277\) 0 0 −0.970296 0.241922i \(-0.922222\pi\)
0.970296 + 0.241922i \(0.0777778\pi\)
\(278\) 0 0
\(279\) 0.580762 1.78740i 0.580762 1.78740i
\(280\) 0 0
\(281\) 0 0 0.438371 0.898794i \(-0.355556\pi\)
−0.438371 + 0.898794i \(0.644444\pi\)
\(282\) 0 0
\(283\) 0 0 0.788011 0.615661i \(-0.211111\pi\)
−0.788011 + 0.615661i \(0.788889\pi\)
\(284\) 1.63289 + 1.10140i 1.63289 + 1.10140i
\(285\) 0 0
\(286\) 0 0
\(287\) 0 0
\(288\) 0 0
\(289\) 0.669131 0.743145i 0.669131 0.743145i
\(290\) 0 0
\(291\) 0.0363024 0.345394i 0.0363024 0.345394i
\(292\) 0 0
\(293\) 0 0 0.848048 0.529919i \(-0.177778\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(294\) 0 0
\(295\) 0.845319 0.242391i 0.845319 0.242391i
\(296\) 0 0
\(297\) 0 0
\(298\) 0 0
\(299\) 0 0
\(300\) −0.244507 + 0.605176i −0.244507 + 0.605176i
\(301\) 0 0
\(302\) 0 0
\(303\) 0 0
\(304\) 0 0
\(305\) 0 0
\(306\) 0 0
\(307\) 0 0 −0.866025 0.500000i \(-0.833333\pi\)
0.866025 + 0.500000i \(0.166667\pi\)
\(308\) 0 0
\(309\) −0.266044 1.50881i −0.266044 1.50881i
\(310\) 0 0
\(311\) −0.539031 + 0.421137i −0.539031 + 0.421137i −0.848048 0.529919i \(-0.822222\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(312\) 0 0
\(313\) 0.438371 0.898794i 0.438371 0.898794i −0.559193 0.829038i \(-0.688889\pi\)
0.997564 0.0697565i \(-0.0222222\pi\)
\(314\) 0 0
\(315\) 0 0
\(316\) 0 0
\(317\) 0 0 0.241922 0.970296i \(-0.422222\pi\)
−0.241922 + 0.970296i \(0.577778\pi\)
\(318\) 0 0
\(319\) 0 0
\(320\) 0.826352 0.984808i 0.826352 0.984808i
\(321\) 0 0
\(322\) 0 0
\(323\) 0 0
\(324\) −0.997564 + 0.0697565i −0.997564 + 0.0697565i
\(325\) 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
\(333\) 1.35275 0.719272i 1.35275 0.719272i
\(334\) 0 0
\(335\) −2.17157 1.05914i −2.17157 1.05914i
\(336\) 0 0
\(337\) 0 0 0.999391 0.0348995i \(-0.0111111\pi\)
−0.999391 + 0.0348995i \(0.988889\pi\)
\(338\) 0 0
\(339\) 1.36821 1.41682i 1.36821 1.41682i
\(340\) 0 0
\(341\) 0 0
\(342\) 0 0
\(343\) 0 0
\(344\) 0 0
\(345\) 1.48994 + 1.65475i 1.48994 + 1.65475i
\(346\) 0 0
\(347\) 0 0 −0.241922 0.970296i \(-0.577778\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(348\) 0 0
\(349\) 0 0 −0.999391 0.0348995i \(-0.988889\pi\)
0.999391 + 0.0348995i \(0.0111111\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0 0
\(353\) −0.592396 + 1.62760i −0.592396 + 1.62760i 0.173648 + 0.984808i \(0.444444\pi\)
−0.766044 + 0.642788i \(0.777778\pi\)
\(354\) 0 0
\(355\) −0.948537 + 2.34771i −0.948537 + 2.34771i
\(356\) −0.813149 + 1.52931i −0.813149 + 1.52931i
\(357\) 0 0
\(358\) 0 0
\(359\) 0 0 0.978148 0.207912i \(-0.0666667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(360\) 0 0
\(361\) 0.104528 + 0.994522i 0.104528 + 0.994522i
\(362\) 0 0
\(363\) 0 0
\(364\) 0 0
\(365\) 0 0
\(366\) 0 0
\(367\) 0.343916 + 0.0483343i 0.343916 + 0.0483343i 0.309017 0.951057i \(-0.400000\pi\)
0.0348995 + 0.999391i \(0.488889\pi\)
\(368\) −0.704489 1.58231i −0.704489 1.58231i
\(369\) 0 0
\(370\) 0 0
\(371\) 0 0
\(372\) −1.71690 0.764415i −1.71690 0.764415i
\(373\) 0 0 −0.984808 0.173648i \(-0.944444\pi\)
0.984808 + 0.173648i \(0.0555556\pi\)
\(374\) 0 0
\(375\) 0.439693 + 0.0775297i 0.439693 + 0.0775297i
\(376\) 0 0
\(377\) 0 0
\(378\) 0 0
\(379\) 0.809017 + 0.587785i 0.809017 + 0.587785i 0.913545 0.406737i \(-0.133333\pi\)
−0.104528 + 0.994522i \(0.533333\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) −0.614811 + 0.299864i −0.614811 + 0.299864i −0.719340 0.694658i \(-0.755556\pi\)
0.104528 + 0.994522i \(0.466667\pi\)
\(384\) 0 0
\(385\) 0 0
\(386\) 0 0
\(387\) 0 0
\(388\) −0.339707 0.0722070i −0.339707 0.0722070i
\(389\) 0.274117 1.95045i 0.274117 1.95045i −0.0348995 0.999391i \(-0.511111\pi\)
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
\(400\) 0.576303 + 0.306426i 0.576303 + 0.306426i
\(401\) 1.24739 0.311009i 1.24739 0.311009i 0.438371 0.898794i \(-0.355556\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(402\) 0 0
\(403\) 0 0
\(404\) 0 0
\(405\) −0.354353 1.23577i −0.354353 1.23577i
\(406\) 0 0
\(407\) 0 0
\(408\) 0 0
\(409\) 0 0 0.0697565 0.997564i \(-0.477778\pi\)
−0.0697565 + 0.997564i \(0.522222\pi\)
\(410\) 0 0
\(411\) 0.650561 + 0.211380i 0.650561 + 0.211380i
\(412\) −1.52836 + 0.106873i −1.52836 + 0.106873i
\(413\) 0 0
\(414\) 0 0
\(415\) 0 0
\(416\) 0 0
\(417\) 0 0
\(418\) 0 0
\(419\) 0.439693 + 1.20805i 0.439693 + 1.20805i 0.939693 + 0.342020i \(0.111111\pi\)
−0.500000 + 0.866025i \(0.666667\pi\)
\(420\) 0 0
\(421\) 1.35275 0.719272i 1.35275 0.719272i 0.374607 0.927184i \(-0.377778\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(422\) 0 0
\(423\) −1.36821 1.41682i −1.36821 1.41682i
\(424\) 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 \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(432\) −0.0348995 + 0.999391i −0.0348995 + 0.999391i
\(433\) −0.309017 + 0.951057i −0.309017 + 0.951057i 0.669131 + 0.743145i \(0.266667\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 0 0
\(437\) 0 0
\(438\) 0 0
\(439\) 0 0 −0.642788 0.766044i \(-0.722222\pi\)
0.642788 + 0.766044i \(0.277778\pi\)
\(440\) 0 0
\(441\) 0.500000 + 0.866025i 0.500000 + 0.866025i
\(442\) 0 0
\(443\) −0.603541 1.13510i −0.603541 1.13510i −0.978148 0.207912i \(-0.933333\pi\)
0.374607 0.927184i \(-0.377778\pi\)
\(444\) −0.573931 1.42053i −0.573931 1.42053i
\(445\) −2.14042 0.613757i −2.14042 0.613757i
\(446\) 0 0
\(447\) 0 0
\(448\) 0 0
\(449\) 1.27853 0.134379i 1.27853 0.134379i 0.559193 0.829038i \(-0.311111\pi\)
0.719340 + 0.694658i \(0.244444\pi\)
\(450\) 0 0
\(451\) 0 0
\(452\) −1.26604 1.50881i −1.26604 1.50881i
\(453\) 0 0
\(454\) 0 0
\(455\) 0 0
\(456\) 0 0
\(457\) 0 0 0.829038 0.559193i \(-0.188889\pi\)
−0.829038 + 0.559193i \(0.811111\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) 1.80142 1.30881i 1.80142 1.30881i
\(461\) 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
\(465\) 0.502334 2.36329i 0.502334 2.36329i
\(466\) 0 0
\(467\) −1.95883 0.205881i −1.95883 0.205881i −0.961262 0.275637i \(-0.911111\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(468\) 0 0
\(469\) 0 0
\(470\) 0 0
\(471\) 1.35192 + 1.30553i 1.35192 + 1.30553i
\(472\) 0 0
\(473\) 0 0
\(474\) 0 0
\(475\) 0 0
\(476\) 0 0
\(477\) −0.634231 + 0.256246i −0.634231 + 0.256246i
\(478\) 0 0
\(479\) 0 0 0.997564 0.0697565i \(-0.0222222\pi\)
−0.997564 + 0.0697565i \(0.977778\pi\)
\(480\) 0 0
\(481\) 0 0
\(482\) 0 0
\(483\) 0 0
\(484\) 0 0
\(485\) 0.446476i 0.446476i
\(486\) 0 0
\(487\) −0.473442 1.45710i −0.473442 1.45710i −0.848048 0.529919i \(-0.822222\pi\)
0.374607 0.927184i \(-0.377778\pi\)
\(488\) 0 0
\(489\) −0.333843 0.0957278i −0.333843 0.0957278i
\(490\) 0 0
\(491\) 0 0 −0.882948 0.469472i \(-0.844444\pi\)
0.882948 + 0.469472i \(0.155556\pi\)
\(492\) 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
\(499\) −0.0534691 1.53116i −0.0534691 1.53116i −0.669131 0.743145i \(-0.733333\pi\)
0.615661 0.788011i \(-0.288889\pi\)
\(500\) 0.123065 0.429180i 0.123065 0.429180i
\(501\) 0 0
\(502\) 0 0
\(503\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(504\) 0 0
\(505\) 0 0
\(506\) 0 0
\(507\) −0.500000 + 0.866025i −0.500000 + 0.866025i
\(508\) 0 0
\(509\) −1.60593 0.648838i −1.60593 0.648838i −0.615661 0.788011i \(-0.711111\pi\)
−0.990268 + 0.139173i \(0.955556\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) 0 0
\(513\) 0 0
\(514\) 0 0
\(515\) −0.542900 1.89332i −0.542900 1.89332i
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) −0.267286 1.25748i −0.267286 1.25748i −0.882948 0.469472i \(-0.844444\pi\)
0.615661 0.788011i \(-0.288889\pi\)
\(522\) 0 0
\(523\) 0 0 −0.406737 0.913545i \(-0.633333\pi\)
0.406737 + 0.913545i \(0.366667\pi\)
\(524\) 0 0
\(525\) 0 0
\(526\) 0 0
\(527\) 0 0
\(528\) 0 0
\(529\) −0.347296 1.96962i −0.347296 1.96962i
\(530\) 0 0
\(531\) 0.508341 + 0.457712i 0.508341 + 0.457712i
\(532\) 0 0
\(533\) 0 0
\(534\) 0 0
\(535\) 0 0
\(536\) 0 0
\(537\) 0.614811 0.299864i 0.614811 0.299864i
\(538\) 0 0
\(539\) 0 0
\(540\) −1.26604 + 0.223238i −1.26604 + 0.223238i
\(541\) 0 0 −0.587785 0.809017i \(-0.700000\pi\)
0.587785 + 0.809017i \(0.300000\pi\)
\(542\) 0 0
\(543\) −1.29929 + 0.811883i −1.29929 + 0.811883i
\(544\) 0 0
\(545\) 0 0
\(546\) 0 0
\(547\) 0 0 0.529919 0.848048i \(-0.322222\pi\)
−0.529919 + 0.848048i \(0.677778\pi\)
\(548\) 0.278224 0.624902i 0.278224 0.624902i
\(549\) 0 0
\(550\) 0 0
\(551\) 0 0
\(552\) 0 0
\(553\) 0 0
\(554\) 0 0
\(555\) 1.63289 1.10140i 1.63289 1.10140i
\(556\) 0 0
\(557\) 0 0 −0.669131 0.743145i \(-0.733333\pi\)
0.669131 + 0.743145i \(0.266667\pi\)
\(558\) 0 0
\(559\) 0 0
\(560\) 0 0
\(561\) 0 0
\(562\) 0 0
\(563\) 0 0 −0.997564 0.0697565i \(-0.977778\pi\)
0.997564 + 0.0697565i \(0.0222222\pi\)
\(564\) −1.55208 + 1.21262i −1.55208 + 1.21262i
\(565\) 1.55891 1.99531i 1.55891 1.99531i
\(566\) 0 0
\(567\) 0 0
\(568\) 0 0
\(569\) 0 0 0.0348995 0.999391i \(-0.488889\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(570\) 0 0
\(571\) 0 0 0.642788 0.766044i \(-0.277778\pi\)
−0.642788 + 0.766044i \(0.722222\pi\)
\(572\) 0 0
\(573\) 1.96962i 1.96962i
\(574\) 0 0
\(575\) 0.840137 + 0.756463i 0.840137 + 0.756463i
\(576\) 0.990268 + 0.139173i 0.990268 + 0.139173i
\(577\) −1.39963 + 0.623157i −1.39963 + 0.623157i −0.961262 0.275637i \(-0.911111\pi\)
−0.438371 + 0.898794i \(0.644444\pi\)
\(578\) 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
\(587\) −1.19196 + 0.481585i −1.19196 + 0.481585i −0.882948 0.469472i \(-0.844444\pi\)
−0.309017 + 0.951057i \(0.600000\pi\)
\(588\) 0.913545 0.406737i 0.913545 0.406737i
\(589\) 0 0
\(590\) 0 0
\(591\) 0 0
\(592\) −1.47274 + 0.422301i −1.47274 + 0.422301i
\(593\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(594\) 0 0
\(595\) 0 0
\(596\) 0 0
\(597\) 0.343916 0.0483343i 0.343916 0.0483343i
\(598\) 0 0
\(599\) 1.20318 + 1.24593i 1.20318 + 1.24593i 0.961262 + 0.275637i \(0.0888889\pi\)
0.241922 + 0.970296i \(0.422222\pi\)
\(600\) 0 0
\(601\) 0 0 0.927184 0.374607i \(-0.122222\pi\)
−0.927184 + 0.374607i \(0.877778\pi\)
\(602\) 0 0
\(603\) −0.196449 1.86909i −0.196449 1.86909i
\(604\) 0 0
\(605\) 0 0
\(606\) 0 0
\(607\) 0 0 −0.829038 0.559193i \(-0.811111\pi\)
0.829038 + 0.559193i \(0.188889\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) 0 0
\(612\) 0 0
\(613\) 0 0 −0.743145 0.669131i \(-0.766667\pi\)
0.743145 + 0.669131i \(0.233333\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 0 0
\(617\) −0.439693 + 0.524005i −0.439693 + 0.524005i −0.939693 0.342020i \(-0.888889\pi\)
0.500000 + 0.866025i \(0.333333\pi\)
\(618\) 0 0
\(619\) 0.0534691 1.53116i 0.0534691 1.53116i −0.615661 0.788011i \(-0.711111\pi\)
0.669131 0.743145i \(-0.266667\pi\)
\(620\) −2.29784 0.746613i −2.29784 0.746613i
\(621\) −0.477418 + 1.66495i −0.477418 + 1.66495i
\(622\) 0 0
\(623\) 0 0
\(624\) 0 0
\(625\) 1.22369 + 0.0855690i 1.22369 + 0.0855690i
\(626\) 0 0
\(627\) 0 0
\(628\) 1.43969 1.20805i 1.43969 1.20805i
\(629\) 0 0
\(630\) 0 0
\(631\) 1.25755 + 1.39666i 1.25755 + 1.39666i 0.882948 + 0.469472i \(0.155556\pi\)
0.374607 + 0.927184i \(0.377778\pi\)
\(632\) 0 0
\(633\) 0 0
\(634\) 0 0
\(635\) 0 0
\(636\) 0.188547 + 0.657542i 0.188547 + 0.657542i
\(637\) 0 0
\(638\) 0 0
\(639\) −1.93969 + 0.342020i −1.93969 + 0.342020i
\(640\) 0 0
\(641\) −0.917847 + 1.46886i −0.917847 + 1.46886i −0.0348995 + 0.999391i \(0.511111\pi\)
−0.882948 + 0.469472i \(0.844444\pi\)
\(642\) 0 0
\(643\) 0.719340 0.694658i 0.719340 0.694658i −0.241922 0.970296i \(-0.577778\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) 0 0 0.809017 0.587785i \(-0.200000\pi\)
−0.809017 + 0.587785i \(0.800000\pi\)
\(648\) 0 0
\(649\) 0 0
\(650\) 0 0
\(651\) 0 0
\(652\) −0.130100 + 0.322008i −0.130100 + 0.322008i
\(653\) −0.603541 + 1.13510i −0.603541 + 1.13510i 0.374607 + 0.927184i \(0.377778\pi\)
−0.978148 + 0.207912i \(0.933333\pi\)
\(654\) 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 −0.173648 0.984808i \(-0.555556\pi\)
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
\(669\) −0.104528 0.994522i −0.104528 0.994522i
\(670\) 0 0
\(671\) 0 0
\(672\) 0 0
\(673\) 0 0 −0.275637 0.961262i \(-0.588889\pi\)
0.275637 + 0.961262i \(0.411111\pi\)
\(674\) 0 0
\(675\) −0.244507 0.605176i −0.244507 0.605176i
\(676\) 0.809017 + 0.587785i 0.809017 + 0.587785i
\(677\) 0 0 −0.559193 0.829038i \(-0.688889\pi\)
0.559193 + 0.829038i \(0.311111\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) 0 0
\(681\) 0 0
\(682\) 0 0
\(683\) 1.70574 0.984808i 1.70574 0.984808i 0.766044 0.642788i \(-0.222222\pi\)
0.939693 0.342020i \(-0.111111\pi\)
\(684\) 0 0
\(685\) 0.860169 + 0.182834i 0.860169 + 0.182834i
\(686\) 0 0
\(687\) 0.997564 0.0697565i 0.997564 0.0697565i
\(688\) 0 0
\(689\) 0 0
\(690\) 0 0
\(691\) −1.10209 1.06428i −1.10209 1.06428i −0.997564 0.0697565i \(-0.977778\pi\)
−0.104528 0.994522i \(-0.533333\pi\)
\(692\) 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 \(-0.600000\pi\)
0.309017 + 0.951057i \(0.400000\pi\)
\(702\) 0 0
\(703\) 0 0
\(704\) 0 0
\(705\) −1.93969 1.62760i −1.93969 1.62760i
\(706\) 0 0
\(707\) 0 0
\(708\) 0.508341 0.457712i 0.508341 0.457712i
\(709\) 1.52836 0.106873i 1.52836 0.106873i 0.719340 0.694658i \(-0.244444\pi\)
0.809017 + 0.587785i \(0.200000\pi\)
\(710\) 0 0
\(711\) 0 0
\(712\) 0 0
\(713\) −2.26125 + 2.34159i −2.26125 + 2.34159i
\(714\) 0 0
\(715\) 0 0
\(716\) −0.233956 0.642788i −0.233956 0.642788i
\(717\) 0 0
\(718\) 0 0
\(719\) −1.46371 + 1.31793i −1.46371 + 1.31793i −0.615661 + 0.788011i \(0.711111\pi\)
−0.848048 + 0.529919i \(0.822222\pi\)
\(720\) 0.0896772 + 1.28244i 0.0896772 + 1.28244i
\(721\) 0 0
\(722\) 0 0
\(723\) 0 0
\(724\) 0.671624 + 1.37703i 0.671624 + 1.37703i
\(725\) 0 0
\(726\) 0 0
\(727\) 0.326352 + 0.118782i 0.326352 + 0.118782i 0.500000 0.866025i \(-0.333333\pi\)
−0.173648 + 0.984808i \(0.555556\pi\)
\(728\) 0 0
\(729\) 0.669131 0.743145i 0.669131 0.743145i
\(730\) 0 0
\(731\) 0 0
\(732\) 0 0
\(733\) 0 0 −0.529919 0.848048i \(-0.677778\pi\)
0.529919 + 0.848048i \(0.322222\pi\)
\(734\) 0 0
\(735\) 0.755642 + 1.04005i 0.755642 + 1.04005i
\(736\) 0 0
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 0.994522 0.104528i \(-0.0333333\pi\)
−0.994522 + 0.104528i \(0.966667\pi\)
\(740\) −0.924678 1.73907i −0.924678 1.73907i
\(741\) 0 0
\(742\) 0 0
\(743\) 0 0 −0.961262 0.275637i \(-0.911111\pi\)
0.961262 + 0.275637i \(0.0888889\pi\)
\(744\) 0 0
\(745\) 0 0
\(746\) 0 0
\(747\) 0 0
\(748\) 0 0
\(749\) 0 0
\(750\) 0 0
\(751\) −0.343916 + 0.0483343i −0.343916 + 0.0483343i −0.309017 0.951057i \(-0.600000\pi\)
−0.0348995 + 0.999391i \(0.511111\pi\)
\(752\) 1.04374 + 1.67033i 1.04374 + 1.67033i
\(753\) 0 0
\(754\) 0 0
\(755\) 0 0
\(756\) 0 0
\(757\) −1.52045 + 1.10467i −1.52045 + 1.10467i −0.559193 + 0.829038i \(0.688889\pi\)
−0.961262 + 0.275637i \(0.911111\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) 0 0 −0.438371 0.898794i \(-0.644444\pi\)
0.438371 + 0.898794i \(0.355556\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 1.95883 + 0.205881i 1.95883 + 0.205881i
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) 0.241922 0.970296i 0.241922 0.970296i
\(769\) 0 0 −0.342020 0.939693i \(-0.611111\pi\)
0.342020 + 0.939693i \(0.388889\pi\)
\(770\) 0 0
\(771\) 1.11334 + 1.32683i 1.11334 + 1.32683i
\(772\) 0 0
\(773\) 0 0 −0.978148 0.207912i \(-0.933333\pi\)
0.978148 + 0.207912i \(0.0666667\pi\)
\(774\) 0 0
\(775\) 0.128223 1.21996i 0.128223 1.21996i
\(776\) 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
\(785\) 1.90391 + 1.48749i 1.90391 + 1.48749i
\(786\) 0 0
\(787\) 0 0 0.970296 0.241922i \(-0.0777778\pi\)
−0.970296 + 0.241922i \(0.922222\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 0 0
\(792\) 0 0
\(793\) 0 0
\(794\) 0 0
\(795\) −0.776451 + 0.412846i −0.776451 + 0.412846i
\(796\) −0.0121205 0.347085i −0.0121205 0.347085i
\(797\) 0.354353 1.23577i 0.354353 1.23577i −0.559193 0.829038i \(-0.688889\pi\)
0.913545 0.406737i \(-0.133333\pi\)
\(798\) 0 0
\(799\) 0 0
\(800\) 0 0
\(801\) −0.477418 1.66495i −0.477418 1.66495i
\(802\) 0 0
\(803\) 0 0
\(804\) −1.87939