Properties

Label 3024.2.q.k.2305.9
Level $3024$
Weight $2$
Character 3024.2305
Analytic conductor $24.147$
Analytic rank $0$
Dimension $22$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 3024 = 2^{4} \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3024.q (of order \(3\), degree \(2\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(24.1467615712\)
Analytic rank: \(0\)
Dimension: \(22\)
Relative dimension: \(11\) over \(\Q(\zeta_{3})\)
Twist minimal: no (minimal twist has level 504)
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 2305.9
Character \(\chi\) \(=\) 3024.2305
Dual form 3024.2.q.k.2881.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.927957 + 1.60727i) q^{5} +(-0.900017 + 2.48796i) q^{7} +O(q^{10})\) \(q+(0.927957 + 1.60727i) q^{5} +(-0.900017 + 2.48796i) q^{7} +(1.28800 - 2.23089i) q^{11} +(2.82227 - 4.88832i) q^{13} +(-3.57951 - 6.19989i) q^{17} +(-0.636599 + 1.10262i) q^{19} +(-0.120639 - 0.208952i) q^{23} +(0.777791 - 1.34717i) q^{25} +(-0.923571 - 1.59967i) q^{29} +2.99103 q^{31} +(-4.83401 + 0.862156i) q^{35} +(0.338260 - 0.585884i) q^{37} +(0.733933 - 1.27121i) q^{41} +(-4.14269 - 7.17535i) q^{43} -12.3145 q^{47} +(-5.37994 - 4.47842i) q^{49} +(-3.35508 - 5.81117i) q^{53} +4.78085 q^{55} +2.08279 q^{59} +12.9595 q^{61} +10.4758 q^{65} +4.83102 q^{67} -1.53621 q^{71} +(-6.55954 - 11.3615i) q^{73} +(4.39115 + 5.21235i) q^{77} +3.72018 q^{79} +(-3.00173 - 5.19915i) q^{83} +(6.64326 - 11.5065i) q^{85} +(-6.60349 + 11.4376i) q^{89} +(9.62187 + 11.4213i) q^{91} -2.36294 q^{95} +(6.40860 + 11.1000i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 22q - 3q^{5} + 5q^{7} + O(q^{10}) \) \( 22q - 3q^{5} + 5q^{7} - 3q^{11} - 3q^{13} - 7q^{17} + q^{19} + 2q^{23} - 10q^{25} - 9q^{29} - 8q^{31} + 14q^{35} + 2q^{37} - 16q^{41} - 10q^{47} + 15q^{49} - 11q^{53} - 22q^{55} + 38q^{59} + 26q^{61} + 26q^{65} + 52q^{67} - 48q^{71} - 35q^{73} - 17q^{77} + 20q^{79} - 28q^{83} - 20q^{85} - 6q^{89} + 37q^{91} - 24q^{95} - 29q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/3024\mathbb{Z}\right)^\times\).

\(n\) \(757\) \(785\) \(1135\) \(2593\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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
\(3\) 0 0
\(4\) 0 0
\(5\) 0.927957 + 1.60727i 0.414995 + 0.718793i 0.995428 0.0955156i \(-0.0304500\pi\)
−0.580433 + 0.814308i \(0.697117\pi\)
\(6\) 0 0
\(7\) −0.900017 + 2.48796i −0.340174 + 0.940362i
\(8\) 0 0
\(9\) 0 0
\(10\) 0 0
\(11\) 1.28800 2.23089i 0.388348 0.672638i −0.603880 0.797076i \(-0.706379\pi\)
0.992227 + 0.124437i \(0.0397126\pi\)
\(12\) 0 0
\(13\) 2.82227 4.88832i 0.782757 1.35578i −0.147573 0.989051i \(-0.547146\pi\)
0.930330 0.366724i \(-0.119521\pi\)
\(14\) 0 0
\(15\) 0 0
\(16\) 0 0
\(17\) −3.57951 6.19989i −0.868158 1.50369i −0.863876 0.503704i \(-0.831970\pi\)
−0.00428199 0.999991i \(-0.501363\pi\)
\(18\) 0 0
\(19\) −0.636599 + 1.10262i −0.146046 + 0.252959i −0.929763 0.368160i \(-0.879988\pi\)
0.783717 + 0.621118i \(0.213321\pi\)
\(20\) 0 0
\(21\) 0 0
\(22\) 0 0
\(23\) −0.120639 0.208952i −0.0251549 0.0435696i 0.853174 0.521627i \(-0.174675\pi\)
−0.878329 + 0.478057i \(0.841341\pi\)
\(24\) 0 0
\(25\) 0.777791 1.34717i 0.155558 0.269435i
\(26\) 0 0
\(27\) 0 0
\(28\) 0 0
\(29\) −0.923571 1.59967i −0.171503 0.297051i 0.767443 0.641118i \(-0.221529\pi\)
−0.938945 + 0.344066i \(0.888196\pi\)
\(30\) 0 0
\(31\) 2.99103 0.537205 0.268602 0.963251i \(-0.413438\pi\)
0.268602 + 0.963251i \(0.413438\pi\)
\(32\) 0 0
\(33\) 0 0
\(34\) 0 0
\(35\) −4.83401 + 0.862156i −0.817096 + 0.145731i
\(36\) 0 0
\(37\) 0.338260 0.585884i 0.0556097 0.0963188i −0.836880 0.547386i \(-0.815623\pi\)
0.892490 + 0.451067i \(0.148956\pi\)
\(38\) 0 0
\(39\) 0 0
\(40\) 0 0
\(41\) 0.733933 1.27121i 0.114621 0.198529i −0.803007 0.595969i \(-0.796768\pi\)
0.917628 + 0.397440i \(0.130101\pi\)
\(42\) 0 0
\(43\) −4.14269 7.17535i −0.631754 1.09423i −0.987193 0.159531i \(-0.949002\pi\)
0.355439 0.934700i \(-0.384331\pi\)
\(44\) 0 0
\(45\) 0 0
\(46\) 0 0
\(47\) −12.3145 −1.79625 −0.898124 0.439742i \(-0.855070\pi\)
−0.898124 + 0.439742i \(0.855070\pi\)
\(48\) 0 0
\(49\) −5.37994 4.47842i −0.768563 0.639774i
\(50\) 0 0
\(51\) 0 0
\(52\) 0 0
\(53\) −3.35508 5.81117i −0.460856 0.798226i 0.538148 0.842851i \(-0.319124\pi\)
−0.999004 + 0.0446243i \(0.985791\pi\)
\(54\) 0 0
\(55\) 4.78085 0.644650
\(56\) 0 0
\(57\) 0 0
\(58\) 0 0
\(59\) 2.08279 0.271156 0.135578 0.990767i \(-0.456711\pi\)
0.135578 + 0.990767i \(0.456711\pi\)
\(60\) 0 0
\(61\) 12.9595 1.65929 0.829644 0.558292i \(-0.188543\pi\)
0.829644 + 0.558292i \(0.188543\pi\)
\(62\) 0 0
\(63\) 0 0
\(64\) 0 0
\(65\) 10.4758 1.29936
\(66\) 0 0
\(67\) 4.83102 0.590203 0.295102 0.955466i \(-0.404646\pi\)
0.295102 + 0.955466i \(0.404646\pi\)
\(68\) 0 0
\(69\) 0 0
\(70\) 0 0
\(71\) −1.53621 −0.182314 −0.0911572 0.995837i \(-0.529057\pi\)
−0.0911572 + 0.995837i \(0.529057\pi\)
\(72\) 0 0
\(73\) −6.55954 11.3615i −0.767736 1.32976i −0.938788 0.344496i \(-0.888050\pi\)
0.171052 0.985262i \(-0.445283\pi\)
\(74\) 0 0
\(75\) 0 0
\(76\) 0 0
\(77\) 4.39115 + 5.21235i 0.500418 + 0.594002i
\(78\) 0 0
\(79\) 3.72018 0.418553 0.209277 0.977856i \(-0.432889\pi\)
0.209277 + 0.977856i \(0.432889\pi\)
\(80\) 0 0
\(81\) 0 0
\(82\) 0 0
\(83\) −3.00173 5.19915i −0.329483 0.570681i 0.652926 0.757421i \(-0.273541\pi\)
−0.982409 + 0.186740i \(0.940208\pi\)
\(84\) 0 0
\(85\) 6.64326 11.5065i 0.720563 1.24805i
\(86\) 0 0
\(87\) 0 0
\(88\) 0 0
\(89\) −6.60349 + 11.4376i −0.699968 + 1.21238i 0.268509 + 0.963277i \(0.413469\pi\)
−0.968477 + 0.249103i \(0.919864\pi\)
\(90\) 0 0
\(91\) 9.62187 + 11.4213i 1.00865 + 1.19728i
\(92\) 0 0
\(93\) 0 0
\(94\) 0 0
\(95\) −2.36294 −0.242433
\(96\) 0 0
\(97\) 6.40860 + 11.1000i 0.650695 + 1.12704i 0.982955 + 0.183848i \(0.0588556\pi\)
−0.332260 + 0.943188i \(0.607811\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) 0 0
\(101\) 6.10066 10.5667i 0.607039 1.05142i −0.384687 0.923047i \(-0.625691\pi\)
0.991726 0.128375i \(-0.0409760\pi\)
\(102\) 0 0
\(103\) 6.82163 + 11.8154i 0.672155 + 1.16421i 0.977292 + 0.211898i \(0.0679644\pi\)
−0.305137 + 0.952309i \(0.598702\pi\)
\(104\) 0 0
\(105\) 0 0
\(106\) 0 0
\(107\) −6.48002 + 11.2237i −0.626448 + 1.08504i 0.361811 + 0.932251i \(0.382158\pi\)
−0.988259 + 0.152788i \(0.951175\pi\)
\(108\) 0 0
\(109\) 7.70089 + 13.3383i 0.737612 + 1.27758i 0.953568 + 0.301178i \(0.0973799\pi\)
−0.215956 + 0.976403i \(0.569287\pi\)
\(110\) 0 0
\(111\) 0 0
\(112\) 0 0
\(113\) 7.73446 13.3965i 0.727597 1.26023i −0.230299 0.973120i \(-0.573971\pi\)
0.957896 0.287115i \(-0.0926961\pi\)
\(114\) 0 0
\(115\) 0.223895 0.387797i 0.0208783 0.0361623i
\(116\) 0 0
\(117\) 0 0
\(118\) 0 0
\(119\) 18.6467 3.32569i 1.70934 0.304865i
\(120\) 0 0
\(121\) 2.18209 + 3.77949i 0.198372 + 0.343590i
\(122\) 0 0
\(123\) 0 0
\(124\) 0 0
\(125\) 12.1666 1.08821
\(126\) 0 0
\(127\) 3.19404 0.283425 0.141713 0.989908i \(-0.454739\pi\)
0.141713 + 0.989908i \(0.454739\pi\)
\(128\) 0 0
\(129\) 0 0
\(130\) 0 0
\(131\) −7.04338 12.1995i −0.615383 1.06587i −0.990317 0.138823i \(-0.955668\pi\)
0.374935 0.927051i \(-0.377665\pi\)
\(132\) 0 0
\(133\) −2.17033 2.57621i −0.188192 0.223386i
\(134\) 0 0
\(135\) 0 0
\(136\) 0 0
\(137\) 6.84818 11.8614i 0.585079 1.01339i −0.409786 0.912182i \(-0.634397\pi\)
0.994866 0.101206i \(-0.0322700\pi\)
\(138\) 0 0
\(139\) 4.94131 8.55859i 0.419116 0.725931i −0.576735 0.816932i \(-0.695673\pi\)
0.995851 + 0.0910010i \(0.0290067\pi\)
\(140\) 0 0
\(141\) 0 0
\(142\) 0 0
\(143\) −7.27019 12.5923i −0.607964 1.05302i
\(144\) 0 0
\(145\) 1.71407 2.96885i 0.142346 0.246550i
\(146\) 0 0
\(147\) 0 0
\(148\) 0 0
\(149\) −1.96015 3.39507i −0.160581 0.278135i 0.774496 0.632579i \(-0.218004\pi\)
−0.935077 + 0.354444i \(0.884670\pi\)
\(150\) 0 0
\(151\) 9.78920 16.9554i 0.796634 1.37981i −0.125162 0.992136i \(-0.539945\pi\)
0.921796 0.387674i \(-0.126722\pi\)
\(152\) 0 0
\(153\) 0 0
\(154\) 0 0
\(155\) 2.77555 + 4.80739i 0.222937 + 0.386139i
\(156\) 0 0
\(157\) 14.7927 1.18059 0.590295 0.807188i \(-0.299012\pi\)
0.590295 + 0.807188i \(0.299012\pi\)
\(158\) 0 0
\(159\) 0 0
\(160\) 0 0
\(161\) 0.628443 0.112084i 0.0495282 0.00883347i
\(162\) 0 0
\(163\) −7.54686 + 13.0715i −0.591116 + 1.02384i 0.402967 + 0.915215i \(0.367979\pi\)
−0.994082 + 0.108628i \(0.965354\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) 1.92946 3.34192i 0.149306 0.258605i −0.781665 0.623698i \(-0.785629\pi\)
0.930971 + 0.365093i \(0.118963\pi\)
\(168\) 0 0
\(169\) −9.43043 16.3340i −0.725418 1.25646i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) −0.651571 −0.0495380 −0.0247690 0.999693i \(-0.507885\pi\)
−0.0247690 + 0.999693i \(0.507885\pi\)
\(174\) 0 0
\(175\) 2.65170 + 3.14760i 0.200449 + 0.237936i
\(176\) 0 0
\(177\) 0 0
\(178\) 0 0
\(179\) 10.9059 + 18.8896i 0.815145 + 1.41187i 0.909223 + 0.416308i \(0.136676\pi\)
−0.0940781 + 0.995565i \(0.529990\pi\)
\(180\) 0 0
\(181\) −25.0338 −1.86075 −0.930374 0.366613i \(-0.880517\pi\)
−0.930374 + 0.366613i \(0.880517\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0 0
\(185\) 1.25556 0.0923109
\(186\) 0 0
\(187\) −18.4417 −1.34859
\(188\) 0 0
\(189\) 0 0
\(190\) 0 0
\(191\) 8.66073 0.626668 0.313334 0.949643i \(-0.398554\pi\)
0.313334 + 0.949643i \(0.398554\pi\)
\(192\) 0 0
\(193\) 1.61664 0.116369 0.0581843 0.998306i \(-0.481469\pi\)
0.0581843 + 0.998306i \(0.481469\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) 0 0
\(197\) −10.7746 −0.767659 −0.383829 0.923404i \(-0.625395\pi\)
−0.383829 + 0.923404i \(0.625395\pi\)
\(198\) 0 0
\(199\) −2.38768 4.13558i −0.169258 0.293163i 0.768901 0.639368i \(-0.220804\pi\)
−0.938159 + 0.346204i \(0.887470\pi\)
\(200\) 0 0
\(201\) 0 0
\(202\) 0 0
\(203\) 4.81115 0.858080i 0.337677 0.0602254i
\(204\) 0 0
\(205\) 2.72423 0.190269
\(206\) 0 0
\(207\) 0 0
\(208\) 0 0
\(209\) 1.63988 + 2.84036i 0.113433 + 0.196472i
\(210\) 0 0
\(211\) −2.42787 + 4.20520i −0.167142 + 0.289498i −0.937414 0.348218i \(-0.886787\pi\)
0.770272 + 0.637715i \(0.220120\pi\)
\(212\) 0 0
\(213\) 0 0
\(214\) 0 0
\(215\) 7.68848 13.3168i 0.524350 0.908200i
\(216\) 0 0
\(217\) −2.69198 + 7.44158i −0.182743 + 0.505167i
\(218\) 0 0
\(219\) 0 0
\(220\) 0 0
\(221\) −40.4094 −2.71823
\(222\) 0 0
\(223\) −3.86187 6.68896i −0.258610 0.447926i 0.707260 0.706954i \(-0.249931\pi\)
−0.965870 + 0.259028i \(0.916598\pi\)
\(224\) 0 0
\(225\) 0 0
\(226\) 0 0
\(227\) 6.97457 12.0803i 0.462919 0.801799i −0.536186 0.844100i \(-0.680136\pi\)
0.999105 + 0.0423011i \(0.0134689\pi\)
\(228\) 0 0
\(229\) −0.800136 1.38588i −0.0528745 0.0915812i 0.838377 0.545091i \(-0.183505\pi\)
−0.891251 + 0.453510i \(0.850172\pi\)
\(230\) 0 0
\(231\) 0 0
\(232\) 0 0
\(233\) −3.69939 + 6.40753i −0.242355 + 0.419771i −0.961385 0.275208i \(-0.911253\pi\)
0.719030 + 0.694979i \(0.244587\pi\)
\(234\) 0 0
\(235\) −11.4273 19.7926i −0.745434 1.29113i
\(236\) 0 0
\(237\) 0 0
\(238\) 0 0
\(239\) −1.25117 + 2.16709i −0.0809316 + 0.140178i −0.903650 0.428271i \(-0.859123\pi\)
0.822719 + 0.568449i \(0.192456\pi\)
\(240\) 0 0
\(241\) −2.12148 + 3.67452i −0.136657 + 0.236697i −0.926229 0.376961i \(-0.876969\pi\)
0.789572 + 0.613658i \(0.210302\pi\)
\(242\) 0 0
\(243\) 0 0
\(244\) 0 0
\(245\) 2.20567 12.8028i 0.140915 0.817940i
\(246\) 0 0
\(247\) 3.59331 + 6.22379i 0.228637 + 0.396010i
\(248\) 0 0
\(249\) 0 0
\(250\) 0 0
\(251\) −13.5381 −0.854516 −0.427258 0.904130i \(-0.640520\pi\)
−0.427258 + 0.904130i \(0.640520\pi\)
\(252\) 0 0
\(253\) −0.621532 −0.0390754
\(254\) 0 0
\(255\) 0 0
\(256\) 0 0
\(257\) −3.07747 5.33034i −0.191968 0.332497i 0.753935 0.656949i \(-0.228153\pi\)
−0.945902 + 0.324452i \(0.894820\pi\)
\(258\) 0 0
\(259\) 1.15322 + 1.36889i 0.0716576 + 0.0850584i
\(260\) 0 0
\(261\) 0 0
\(262\) 0 0
\(263\) 12.6706 21.9460i 0.781300 1.35325i −0.149885 0.988703i \(-0.547890\pi\)
0.931185 0.364547i \(-0.118776\pi\)
\(264\) 0 0
\(265\) 6.22675 10.7850i 0.382506 0.662520i
\(266\) 0 0
\(267\) 0 0
\(268\) 0 0
\(269\) 5.42092 + 9.38931i 0.330519 + 0.572476i 0.982614 0.185662i \(-0.0594428\pi\)
−0.652095 + 0.758138i \(0.726109\pi\)
\(270\) 0 0
\(271\) 15.0184 26.0127i 0.912306 1.58016i 0.101507 0.994835i \(-0.467634\pi\)
0.810799 0.585325i \(-0.199033\pi\)
\(272\) 0 0
\(273\) 0 0
\(274\) 0 0
\(275\) −2.00360 3.47033i −0.120821 0.209269i
\(276\) 0 0
\(277\) −9.88147 + 17.1152i −0.593720 + 1.02835i 0.400006 + 0.916513i \(0.369008\pi\)
−0.993726 + 0.111841i \(0.964325\pi\)
\(278\) 0 0
\(279\) 0 0
\(280\) 0 0
\(281\) 3.98596 + 6.90388i 0.237782 + 0.411851i 0.960078 0.279734i \(-0.0902462\pi\)
−0.722295 + 0.691585i \(0.756913\pi\)
\(282\) 0 0
\(283\) −23.2127 −1.37985 −0.689926 0.723880i \(-0.742357\pi\)
−0.689926 + 0.723880i \(0.742357\pi\)
\(284\) 0 0
\(285\) 0 0
\(286\) 0 0
\(287\) 2.50217 + 2.97011i 0.147698 + 0.175320i
\(288\) 0 0
\(289\) −17.1258 + 29.6627i −1.00740 + 1.74486i
\(290\) 0 0
\(291\) 0 0
\(292\) 0 0
\(293\) −11.8556 + 20.5345i −0.692612 + 1.19964i 0.278367 + 0.960475i \(0.410207\pi\)
−0.970979 + 0.239164i \(0.923126\pi\)
\(294\) 0 0
\(295\) 1.93274 + 3.34760i 0.112528 + 0.194905i
\(296\) 0 0
\(297\) 0 0
\(298\) 0 0
\(299\) −1.36190 −0.0787607
\(300\) 0 0
\(301\) 21.5805 3.84893i 1.24388 0.221849i
\(302\) 0 0
\(303\) 0 0
\(304\) 0 0
\(305\) 12.0258 + 20.8293i 0.688597 + 1.19268i
\(306\) 0 0
\(307\) −3.87810 −0.221335 −0.110668 0.993857i \(-0.535299\pi\)
−0.110668 + 0.993857i \(0.535299\pi\)
\(308\) 0 0
\(309\) 0 0
\(310\) 0 0
\(311\) −6.92439 −0.392646 −0.196323 0.980539i \(-0.562900\pi\)
−0.196323 + 0.980539i \(0.562900\pi\)
\(312\) 0 0
\(313\) 30.2313 1.70878 0.854388 0.519636i \(-0.173932\pi\)
0.854388 + 0.519636i \(0.173932\pi\)
\(314\) 0 0
\(315\) 0 0
\(316\) 0 0
\(317\) −9.37399 −0.526496 −0.263248 0.964728i \(-0.584794\pi\)
−0.263248 + 0.964728i \(0.584794\pi\)
\(318\) 0 0
\(319\) −4.75825 −0.266411
\(320\) 0 0
\(321\) 0 0
\(322\) 0 0
\(323\) 9.11484 0.507163
\(324\) 0 0
\(325\) −4.39027 7.60418i −0.243529 0.421804i
\(326\) 0 0
\(327\) 0 0
\(328\) 0 0
\(329\) 11.0832 30.6379i 0.611038 1.68912i
\(330\) 0 0
\(331\) −27.5441 −1.51396 −0.756979 0.653439i \(-0.773326\pi\)
−0.756979 + 0.653439i \(0.773326\pi\)
\(332\) 0 0
\(333\) 0 0
\(334\) 0 0
\(335\) 4.48298 + 7.76475i 0.244931 + 0.424234i
\(336\) 0 0
\(337\) −3.41673 + 5.91796i −0.186121 + 0.322372i −0.943954 0.330078i \(-0.892925\pi\)
0.757832 + 0.652449i \(0.226258\pi\)
\(338\) 0 0
\(339\) 0 0
\(340\) 0 0
\(341\) 3.85246 6.67266i 0.208622 0.361345i
\(342\) 0 0
\(343\) 15.9842 9.35445i 0.863065 0.505093i
\(344\) 0 0
\(345\) 0 0
\(346\) 0 0
\(347\) 20.1919 1.08396 0.541979 0.840392i \(-0.317675\pi\)
0.541979 + 0.840392i \(0.317675\pi\)
\(348\) 0 0
\(349\) −4.25154 7.36388i −0.227580 0.394180i 0.729511 0.683970i \(-0.239748\pi\)
−0.957090 + 0.289790i \(0.906415\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0 0
\(353\) 2.35452 4.07815i 0.125318 0.217058i −0.796539 0.604587i \(-0.793338\pi\)
0.921857 + 0.387529i \(0.126671\pi\)
\(354\) 0 0
\(355\) −1.42554 2.46910i −0.0756596 0.131046i
\(356\) 0 0
\(357\) 0 0
\(358\) 0 0
\(359\) 6.03357 10.4504i 0.318440 0.551554i −0.661723 0.749748i \(-0.730175\pi\)
0.980163 + 0.198195i \(0.0635079\pi\)
\(360\) 0 0
\(361\) 8.68948 + 15.0506i 0.457341 + 0.792138i
\(362\) 0 0
\(363\) 0 0
\(364\) 0 0
\(365\) 12.1739 21.0859i 0.637213 1.10369i
\(366\) 0 0
\(367\) 0.480356 0.832001i 0.0250744 0.0434301i −0.853216 0.521558i \(-0.825351\pi\)
0.878290 + 0.478128i \(0.158684\pi\)
\(368\) 0 0
\(369\) 0 0
\(370\) 0 0
\(371\) 17.4776 3.11717i 0.907393 0.161836i
\(372\) 0 0
\(373\) 3.52499 + 6.10547i 0.182517 + 0.316129i 0.942737 0.333537i \(-0.108242\pi\)
−0.760220 + 0.649666i \(0.774909\pi\)
\(374\) 0 0
\(375\) 0 0
\(376\) 0 0
\(377\) −10.4263 −0.536980
\(378\) 0 0
\(379\) 37.1330 1.90739 0.953697 0.300769i \(-0.0972434\pi\)
0.953697 + 0.300769i \(0.0972434\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) −16.0988 27.8839i −0.822608 1.42480i −0.903734 0.428095i \(-0.859185\pi\)
0.0811254 0.996704i \(-0.474149\pi\)
\(384\) 0 0
\(385\) −4.30285 + 11.8946i −0.219293 + 0.606204i
\(386\) 0 0
\(387\) 0 0
\(388\) 0 0
\(389\) −12.8713 + 22.2937i −0.652600 + 1.13034i 0.329889 + 0.944020i \(0.392989\pi\)
−0.982490 + 0.186317i \(0.940345\pi\)
\(390\) 0 0
\(391\) −0.863654 + 1.49589i −0.0436769 + 0.0756506i
\(392\) 0 0
\(393\) 0 0
\(394\) 0 0
\(395\) 3.45217 + 5.97933i 0.173697 + 0.300853i
\(396\) 0 0
\(397\) 9.44903 16.3662i 0.474233 0.821396i −0.525332 0.850898i \(-0.676059\pi\)
0.999565 + 0.0295016i \(0.00939202\pi\)
\(398\) 0 0
\(399\) 0 0
\(400\) 0 0
\(401\) 7.60193 + 13.1669i 0.379622 + 0.657525i 0.991007 0.133808i \(-0.0427206\pi\)
−0.611385 + 0.791333i \(0.709387\pi\)
\(402\) 0 0
\(403\) 8.44150 14.6211i 0.420501 0.728329i
\(404\) 0 0
\(405\) 0 0
\(406\) 0 0
\(407\) −0.871362 1.50924i −0.0431918 0.0748104i
\(408\) 0 0
\(409\) −29.9458 −1.48073 −0.740363 0.672207i \(-0.765346\pi\)
−0.740363 + 0.672207i \(0.765346\pi\)
\(410\) 0 0
\(411\) 0 0
\(412\) 0 0
\(413\) −1.87454 + 5.18191i −0.0922403 + 0.254985i
\(414\) 0 0
\(415\) 5.57096 9.64918i 0.273468 0.473660i
\(416\) 0 0
\(417\) 0 0
\(418\) 0 0
\(419\) −12.2660 + 21.2453i −0.599231 + 1.03790i 0.393704 + 0.919237i \(0.371194\pi\)
−0.992935 + 0.118661i \(0.962140\pi\)
\(420\) 0 0
\(421\) −2.37791 4.11866i −0.115892 0.200731i 0.802244 0.596996i \(-0.203639\pi\)
−0.918136 + 0.396265i \(0.870306\pi\)
\(422\) 0 0
\(423\) 0 0
\(424\) 0 0
\(425\) −11.1364 −0.540197
\(426\) 0 0
\(427\) −11.6637 + 32.2427i −0.564448 + 1.56033i
\(428\) 0 0
\(429\) 0 0
\(430\) 0 0
\(431\) 1.36446 + 2.36331i 0.0657237 + 0.113837i 0.897015 0.442000i \(-0.145731\pi\)
−0.831291 + 0.555837i \(0.812398\pi\)
\(432\) 0 0
\(433\) 14.5592 0.699672 0.349836 0.936811i \(-0.386237\pi\)
0.349836 + 0.936811i \(0.386237\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 0 0
\(437\) 0.307194 0.0146951
\(438\) 0 0
\(439\) 2.88131 0.137517 0.0687587 0.997633i \(-0.478096\pi\)
0.0687587 + 0.997633i \(0.478096\pi\)
\(440\) 0 0
\(441\) 0 0
\(442\) 0 0
\(443\) 24.9731 1.18651 0.593254 0.805016i \(-0.297843\pi\)
0.593254 + 0.805016i \(0.297843\pi\)
\(444\) 0 0
\(445\) −24.5110 −1.16193
\(446\) 0 0
\(447\) 0 0
\(448\) 0 0
\(449\) 2.99154 0.141180 0.0705898 0.997505i \(-0.477512\pi\)
0.0705898 + 0.997505i \(0.477512\pi\)
\(450\) 0 0
\(451\) −1.89062 3.27464i −0.0890257 0.154197i
\(452\) 0 0
\(453\) 0 0
\(454\) 0 0
\(455\) −9.42838 + 26.0634i −0.442009 + 1.22187i
\(456\) 0 0
\(457\) −25.6171 −1.19832 −0.599158 0.800631i \(-0.704498\pi\)
−0.599158 + 0.800631i \(0.704498\pi\)
\(458\) 0 0
\(459\) 0 0
\(460\) 0 0
\(461\) 6.45759 + 11.1849i 0.300760 + 0.520931i 0.976308 0.216384i \(-0.0694264\pi\)
−0.675548 + 0.737316i \(0.736093\pi\)
\(462\) 0 0
\(463\) 12.2457 21.2102i 0.569108 0.985724i −0.427547 0.903993i \(-0.640622\pi\)
0.996654 0.0817305i \(-0.0260447\pi\)
\(464\) 0 0
\(465\) 0 0
\(466\) 0 0
\(467\) −10.4087 + 18.0283i −0.481655 + 0.834251i −0.999778 0.0210550i \(-0.993297\pi\)
0.518123 + 0.855306i \(0.326631\pi\)
\(468\) 0 0
\(469\) −4.34800 + 12.0194i −0.200772 + 0.555005i
\(470\) 0 0
\(471\) 0 0
\(472\) 0 0
\(473\) −21.3432 −0.981362
\(474\) 0 0
\(475\) 0.990281 + 1.71522i 0.0454372 + 0.0786996i
\(476\) 0 0
\(477\) 0 0
\(478\) 0 0
\(479\) −13.7436 + 23.8047i −0.627962 + 1.08766i 0.359998 + 0.932953i \(0.382777\pi\)
−0.987960 + 0.154709i \(0.950556\pi\)
\(480\) 0 0
\(481\) −1.90932 3.30705i −0.0870577 0.150788i
\(482\) 0 0
\(483\) 0 0
\(484\) 0 0
\(485\) −11.8938 + 20.6007i −0.540070 + 0.935429i
\(486\) 0 0
\(487\) 6.32927 + 10.9626i 0.286807 + 0.496763i 0.973046 0.230613i \(-0.0740730\pi\)
−0.686239 + 0.727376i \(0.740740\pi\)
\(488\) 0 0
\(489\) 0 0
\(490\) 0 0
\(491\) −1.40618 + 2.43557i −0.0634598 + 0.109916i −0.896010 0.444034i \(-0.853547\pi\)
0.832550 + 0.553950i \(0.186880\pi\)
\(492\) 0 0
\(493\) −6.61186 + 11.4521i −0.297783 + 0.515776i
\(494\) 0 0
\(495\) 0 0
\(496\) 0 0
\(497\) 1.38261 3.82203i 0.0620187 0.171442i
\(498\) 0 0
\(499\) −2.12103 3.67373i −0.0949502 0.164459i 0.814638 0.579970i \(-0.196936\pi\)
−0.909588 + 0.415512i \(0.863603\pi\)
\(500\) 0 0
\(501\) 0 0
\(502\) 0 0
\(503\) 22.2162 0.990570 0.495285 0.868730i \(-0.335064\pi\)
0.495285 + 0.868730i \(0.335064\pi\)
\(504\) 0 0
\(505\) 22.6446 1.00767
\(506\) 0 0
\(507\) 0 0
\(508\) 0 0
\(509\) −2.42735 4.20429i −0.107590 0.186352i 0.807203 0.590273i \(-0.200980\pi\)
−0.914794 + 0.403922i \(0.867647\pi\)
\(510\) 0 0
\(511\) 34.1706 6.09440i 1.51162 0.269601i
\(512\) 0 0
\(513\) 0 0
\(514\) 0 0
\(515\) −12.6604 + 21.9284i −0.557882 + 0.966280i
\(516\) 0 0
\(517\) −15.8611 + 27.4722i −0.697569 + 1.20823i
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) −7.92316 13.7233i −0.347120 0.601229i 0.638617 0.769525i \(-0.279507\pi\)
−0.985737 + 0.168296i \(0.946174\pi\)
\(522\) 0 0
\(523\) −10.7605 + 18.6377i −0.470524 + 0.814972i −0.999432 0.0337078i \(-0.989268\pi\)
0.528908 + 0.848679i \(0.322602\pi\)
\(524\) 0 0
\(525\) 0 0
\(526\) 0 0
\(527\) −10.7064 18.5441i −0.466379 0.807792i
\(528\) 0 0
\(529\) 11.4709 19.8682i 0.498734 0.863833i
\(530\) 0 0
\(531\) 0 0
\(532\) 0 0
\(533\) −4.14271 7.17539i −0.179441 0.310801i
\(534\) 0 0
\(535\) −24.0527 −1.03989
\(536\) 0 0
\(537\) 0 0
\(538\) 0 0
\(539\) −16.9202 + 6.23382i −0.728806 + 0.268510i
\(540\) 0 0
\(541\) 7.55977 13.0939i 0.325020 0.562951i −0.656497 0.754329i \(-0.727962\pi\)
0.981516 + 0.191378i \(0.0612957\pi\)
\(542\) 0 0
\(543\) 0 0
\(544\) 0 0
\(545\) −14.2922 + 24.7548i −0.612211 + 1.06038i
\(546\) 0 0
\(547\) 19.4532 + 33.6939i 0.831757 + 1.44065i 0.896644 + 0.442753i \(0.145998\pi\)
−0.0648863 + 0.997893i \(0.520668\pi\)
\(548\) 0 0
\(549\) 0 0
\(550\) 0 0
\(551\) 2.35177 0.100189
\(552\) 0 0
\(553\) −3.34823 + 9.25568i −0.142381 + 0.393592i
\(554\) 0 0
\(555\) 0 0
\(556\) 0 0
\(557\) 5.37036 + 9.30173i 0.227549 + 0.394127i 0.957081 0.289820i \(-0.0935954\pi\)
−0.729532 + 0.683947i \(0.760262\pi\)
\(558\) 0 0
\(559\) −46.7672 −1.97804
\(560\) 0 0
\(561\) 0 0
\(562\) 0 0
\(563\) −23.4760 −0.989394 −0.494697 0.869066i \(-0.664721\pi\)
−0.494697 + 0.869066i \(0.664721\pi\)
\(564\) 0 0
\(565\) 28.7090 1.20780
\(566\) 0 0
\(567\) 0 0
\(568\) 0 0
\(569\) 37.9361 1.59037 0.795183 0.606370i \(-0.207375\pi\)
0.795183 + 0.606370i \(0.207375\pi\)
\(570\) 0 0
\(571\) 4.31630 0.180632 0.0903158 0.995913i \(-0.471212\pi\)
0.0903158 + 0.995913i \(0.471212\pi\)
\(572\) 0 0
\(573\) 0 0
\(574\) 0 0
\(575\) −0.375326 −0.0156522
\(576\) 0 0
\(577\) −5.05923 8.76284i −0.210618 0.364802i 0.741290 0.671185i \(-0.234214\pi\)
−0.951908 + 0.306383i \(0.900881\pi\)
\(578\) 0 0
\(579\) 0 0
\(580\) 0 0
\(581\) 15.6369 2.78888i 0.648729 0.115702i
\(582\) 0 0
\(583\) −17.2854 −0.715890
\(584\) 0 0
\(585\) 0 0
\(586\) 0 0
\(587\) −4.10992 7.11859i −0.169635 0.293816i 0.768657 0.639661i \(-0.220925\pi\)
−0.938291 + 0.345846i \(0.887592\pi\)
\(588\) 0 0
\(589\) −1.90409 + 3.29797i −0.0784565 + 0.135891i
\(590\) 0 0
\(591\) 0 0
\(592\) 0 0
\(593\) −21.8434 + 37.8339i −0.897002 + 1.55365i −0.0656957 + 0.997840i \(0.520927\pi\)
−0.831307 + 0.555814i \(0.812407\pi\)
\(594\) 0 0
\(595\) 22.6486 + 26.8842i 0.928504 + 1.10215i
\(596\) 0 0
\(597\) 0 0
\(598\) 0 0
\(599\) −15.2789 −0.624280 −0.312140 0.950036i \(-0.601046\pi\)
−0.312140 + 0.950036i \(0.601046\pi\)
\(600\) 0 0
\(601\) 7.65696 + 13.2622i 0.312334 + 0.540978i 0.978867 0.204497i \(-0.0655559\pi\)
−0.666533 + 0.745475i \(0.732223\pi\)
\(602\) 0 0
\(603\) 0 0
\(604\) 0 0
\(605\) −4.04977 + 7.01441i −0.164647 + 0.285176i
\(606\) 0 0
\(607\) −1.33490 2.31212i −0.0541821 0.0938461i 0.837662 0.546189i \(-0.183922\pi\)
−0.891844 + 0.452342i \(0.850588\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) −34.7547 + 60.1970i −1.40603 + 2.43531i
\(612\) 0 0
\(613\) −13.5875 23.5343i −0.548796 0.950542i −0.998357 0.0572929i \(-0.981753\pi\)
0.449562 0.893249i \(-0.351580\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 0 0
\(617\) 17.6058 30.4942i 0.708785 1.22765i −0.256524 0.966538i \(-0.582577\pi\)
0.965308 0.261113i \(-0.0840895\pi\)
\(618\) 0 0
\(619\) −15.6340 + 27.0790i −0.628385 + 1.08840i 0.359490 + 0.933149i \(0.382951\pi\)
−0.987876 + 0.155247i \(0.950383\pi\)
\(620\) 0 0
\(621\) 0 0
\(622\) 0 0
\(623\) −22.5130 26.7233i −0.901966 1.07064i
\(624\) 0 0
\(625\) 7.40113 + 12.8191i 0.296045 + 0.512765i
\(626\) 0 0
\(627\) 0 0
\(628\) 0 0
\(629\) −4.84322 −0.193112
\(630\) 0 0
\(631\) −15.5090 −0.617403 −0.308702 0.951159i \(-0.599894\pi\)
−0.308702 + 0.951159i \(0.599894\pi\)
\(632\) 0 0
\(633\) 0 0
\(634\) 0 0
\(635\) 2.96393 + 5.13369i 0.117620 + 0.203724i
\(636\) 0 0
\(637\) −37.0756 + 13.6595i −1.46899 + 0.541210i
\(638\) 0 0
\(639\) 0 0
\(640\) 0 0
\(641\) −16.7655 + 29.0387i −0.662198 + 1.14696i 0.317839 + 0.948145i \(0.397043\pi\)
−0.980037 + 0.198816i \(0.936290\pi\)
\(642\) 0 0
\(643\) 10.2721 17.7918i 0.405093 0.701641i −0.589239 0.807958i \(-0.700573\pi\)
0.994332 + 0.106317i \(0.0339059\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0 0
\(647\) −16.8855 29.2465i −0.663836 1.14980i −0.979599 0.200960i \(-0.935594\pi\)
0.315763 0.948838i \(-0.397739\pi\)
\(648\) 0 0
\(649\) 2.68264 4.64647i 0.105303 0.182390i
\(650\) 0 0
\(651\) 0 0
\(652\) 0 0
\(653\) 9.00576 + 15.5984i 0.352423 + 0.610414i 0.986673 0.162714i \(-0.0520247\pi\)
−0.634251 + 0.773127i \(0.718691\pi\)
\(654\) 0 0
\(655\) 13.0719 22.6412i 0.510762 0.884665i
\(656\) 0 0
\(657\) 0 0
\(658\) 0 0
\(659\) 1.42710 + 2.47180i 0.0555918 + 0.0962878i 0.892482 0.451083i \(-0.148962\pi\)
−0.836890 + 0.547371i \(0.815629\pi\)
\(660\) 0 0
\(661\) 14.0549 0.546673 0.273337 0.961918i \(-0.411873\pi\)
0.273337 + 0.961918i \(0.411873\pi\)
\(662\) 0 0
\(663\) 0 0
\(664\) 0 0
\(665\) 2.12669 5.87892i 0.0824695 0.227975i
\(666\) 0 0
\(667\) −0.222837 + 0.385964i −0.00862827 + 0.0149446i
\(668\) 0 0
\(669\) 0 0
\(670\) 0 0
\(671\) 16.6918 28.9111i 0.644381 1.11610i
\(672\) 0 0
\(673\) −7.54157 13.0624i −0.290706 0.503518i 0.683271 0.730165i \(-0.260557\pi\)
−0.973977 + 0.226647i \(0.927223\pi\)
\(674\) 0 0
\(675\) 0 0
\(676\) 0 0
\(677\) 36.2187 1.39200 0.695998 0.718043i \(-0.254962\pi\)
0.695998 + 0.718043i \(0.254962\pi\)
\(678\) 0 0
\(679\) −33.3843 + 5.95417i −1.28117 + 0.228500i
\(680\) 0 0
\(681\) 0 0
\(682\) 0 0
\(683\) 8.84350 + 15.3174i 0.338387 + 0.586104i 0.984130 0.177452i \(-0.0567853\pi\)
−0.645742 + 0.763555i \(0.723452\pi\)
\(684\) 0 0
\(685\) 25.4193 0.971220
\(686\) 0 0
\(687\) 0 0
\(688\) 0 0
\(689\) −37.8758 −1.44295
\(690\) 0 0
\(691\) −22.4097 −0.852506 −0.426253 0.904604i \(-0.640167\pi\)
−0.426253 + 0.904604i \(0.640167\pi\)
\(692\) 0 0
\(693\) 0 0
\(694\) 0 0
\(695\) 18.3413 0.695725
\(696\) 0 0
\(697\) −10.5085 −0.398037
\(698\) 0 0
\(699\) 0 0
\(700\) 0 0
\(701\) 31.1776 1.17756 0.588781 0.808293i \(-0.299608\pi\)
0.588781 + 0.808293i \(0.299608\pi\)
\(702\) 0 0
\(703\) 0.430672 + 0.745946i 0.0162431 + 0.0281339i
\(704\) 0 0
\(705\) 0 0
\(706\) 0 0
\(707\) 20.7988 + 24.6884i 0.782218 + 0.928503i
\(708\) 0 0
\(709\) −8.04985 −0.302318 −0.151159 0.988509i \(-0.548301\pi\)
−0.151159 + 0.988509i \(0.548301\pi\)
\(710\) 0 0
\(711\) 0 0
\(712\) 0 0
\(713\) −0.360834 0.624982i −0.0135133 0.0234058i
\(714\) 0 0
\(715\) 13.4929 23.3703i 0.504604 0.874000i
\(716\) 0 0
\(717\) 0 0
\(718\) 0 0
\(719\) −20.9980 + 36.3696i −0.783093 + 1.35636i 0.147039 + 0.989131i \(0.453026\pi\)
−0.930132 + 0.367226i \(0.880308\pi\)
\(720\) 0 0
\(721\) −35.5359 + 6.33791i −1.32343 + 0.236036i
\(722\) 0 0
\(723\) 0 0
\(724\) 0 0
\(725\) −2.87338 −0.106715
\(726\) 0 0
\(727\) −0.668774 1.15835i −0.0248035 0.0429609i 0.853357 0.521327i \(-0.174563\pi\)
−0.878161 + 0.478366i \(0.841229\pi\)
\(728\) 0 0
\(729\) 0 0
\(730\) 0 0
\(731\) −29.6576 + 51.3684i −1.09693 + 1.89993i
\(732\) 0 0
\(733\) −14.7374 25.5260i −0.544340 0.942824i −0.998648 0.0519798i \(-0.983447\pi\)
0.454308 0.890845i \(-0.349886\pi\)
\(734\) 0 0
\(735\) 0 0
\(736\) 0 0
\(737\) 6.22238 10.7775i 0.229204 0.396993i
\(738\) 0 0
\(739\) −9.52146 16.4916i −0.350252 0.606655i 0.636041 0.771655i \(-0.280571\pi\)
−0.986294 + 0.165000i \(0.947238\pi\)
\(740\) 0 0
\(741\) 0 0
\(742\) 0 0
\(743\) 21.6613 37.5185i 0.794676 1.37642i −0.128369 0.991726i \(-0.540974\pi\)
0.923045 0.384693i \(-0.125693\pi\)
\(744\) 0 0
\(745\) 3.63786 6.30097i 0.133281 0.230850i
\(746\) 0 0
\(747\) 0 0
\(748\) 0 0
\(749\) −22.0921 26.2236i −0.807228 0.958190i
\(750\) 0 0
\(751\) 17.4381 + 30.2037i 0.636327 + 1.10215i 0.986232 + 0.165365i \(0.0528803\pi\)
−0.349906 + 0.936785i \(0.613786\pi\)
\(752\) 0 0
\(753\) 0 0
\(754\) 0 0
\(755\) 36.3358 1.32240
\(756\) 0 0
\(757\) 8.67255 0.315209 0.157605 0.987502i \(-0.449623\pi\)
0.157605 + 0.987502i \(0.449623\pi\)
\(758\) 0 0
\(759\) 0 0
\(760\) 0 0
\(761\) −2.74489 4.75428i −0.0995021 0.172343i 0.811977 0.583690i \(-0.198392\pi\)
−0.911479 + 0.411347i \(0.865058\pi\)
\(762\) 0 0
\(763\) −40.1163 + 7.15482i −1.45231 + 0.259022i
\(764\) 0 0
\(765\) 0 0
\(766\) 0 0
\(767\) 5.87819 10.1813i 0.212249 0.367627i
\(768\) 0 0
\(769\) 1.81365 3.14134i 0.0654021 0.113280i −0.831470 0.555569i \(-0.812500\pi\)
0.896872 + 0.442290i \(0.145834\pi\)
\(770\) 0 0
\(771\) 0 0
\(772\) 0 0
\(773\) 6.96717 + 12.0675i 0.250592 + 0.434037i 0.963689 0.267028i \(-0.0860415\pi\)
−0.713097 + 0.701065i \(0.752708\pi\)
\(774\) 0 0
\(775\) 2.32640 4.02944i 0.0835666 0.144742i
\(776\) 0 0
\(777\) 0 0
\(778\) 0 0
\(779\) 0.934441 + 1.61850i 0.0334798 + 0.0579888i
\(780\) 0 0
\(781\) −1.97864 + 3.42711i −0.0708014 + 0.122632i
\(782\) 0 0
\(783\) 0 0
\(784\) 0 0
\(785\) 13.7270 + 23.7759i 0.489939 + 0.848599i
\(786\) 0 0
\(787\) −17.5785 −0.626604 −0.313302 0.949654i \(-0.601435\pi\)
−0.313302 + 0.949654i \(0.601435\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 26.3688 + 31.3001i 0.937567 + 1.11290i
\(792\) 0 0
\(793\) 36.5751 63.3499i 1.29882 2.24962i
\(794\) 0 0
\(795\) 0 0
\(796\) 0 0
\(797\) −5.57971 + 9.66434i −0.197644 + 0.342329i −0.947764 0.318973i \(-0.896662\pi\)
0.750120 + 0.661301i \(0.229996\pi\)