Properties

Label 1280.2.f.i.129.2
Level $1280$
Weight $2$
Character 1280.129
Analytic conductor $10.221$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 1280 = 2^{8} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1280.f (of order \(2\), degree \(1\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.2208514587\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: 6.0.350464.1
Defining polynomial: \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{3} \)
Twist minimal: no (minimal twist has level 640)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 129.2
Root \(1.45161 + 1.45161i\) of defining polynomial
Character \(\chi\) \(=\) 1280.129
Dual form 1280.2.f.i.129.1

$q$-expansion

\(f(q)\) \(=\) \(q-2.90321 q^{3} +(2.21432 + 0.311108i) q^{5} -3.52543i q^{7} +5.42864 q^{9} +O(q^{10})\) \(q-2.90321 q^{3} +(2.21432 + 0.311108i) q^{5} -3.52543i q^{7} +5.42864 q^{9} -3.80642i q^{11} -2.62222 q^{13} +(-6.42864 - 0.903212i) q^{15} -5.80642i q^{17} +5.05086i q^{19} +10.2351i q^{21} +0.474572i q^{23} +(4.80642 + 1.37778i) q^{25} -7.05086 q^{27} +2.00000i q^{29} +2.75557 q^{31} +11.0509i q^{33} +(1.09679 - 7.80642i) q^{35} -7.18421 q^{37} +7.61285 q^{39} -5.18421 q^{41} -1.95407 q^{43} +(12.0207 + 1.68889i) q^{45} -5.33185i q^{47} -5.42864 q^{49} +16.8573i q^{51} +5.37778 q^{53} +(1.18421 - 8.42864i) q^{55} -14.6637i q^{57} +5.05086i q^{59} -12.2351i q^{61} -19.1383i q^{63} +(-5.80642 - 0.815792i) q^{65} -7.76049 q^{67} -1.37778i q^{69} -4.85728 q^{71} +6.66370i q^{73} +(-13.9541 - 4.00000i) q^{75} -13.4193 q^{77} -5.24443 q^{79} +4.18421 q^{81} -12.1476 q^{83} +(1.80642 - 12.8573i) q^{85} -5.80642i q^{87} -12.1017 q^{89} +9.24443i q^{91} -8.00000 q^{93} +(-1.57136 + 11.1842i) q^{95} -13.8064i q^{97} -20.6637i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 4 q^{3} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 4 q^{3} + 6 q^{9} - 16 q^{13} - 12 q^{15} + 2 q^{25} - 16 q^{27} + 16 q^{31} + 20 q^{35} - 16 q^{37} - 8 q^{39} - 4 q^{41} + 28 q^{43} + 32 q^{45} - 6 q^{49} + 32 q^{53} - 20 q^{55} - 8 q^{65} + 20 q^{67} + 24 q^{71} - 44 q^{75} - 32 q^{79} - 2 q^{81} - 60 q^{83} - 16 q^{85} - 20 q^{89} - 48 q^{93} - 36 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1280\mathbb{Z}\right)^\times\).

\(n\) \(257\) \(261\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(1\)

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
\(3\) −2.90321 −1.67617 −0.838085 0.545540i \(-0.816325\pi\)
−0.838085 + 0.545540i \(0.816325\pi\)
\(4\) 0 0
\(5\) 2.21432 + 0.311108i 0.990274 + 0.139132i
\(6\) 0 0
\(7\) 3.52543i 1.33249i −0.745735 0.666243i \(-0.767901\pi\)
0.745735 0.666243i \(-0.232099\pi\)
\(8\) 0 0
\(9\) 5.42864 1.80955
\(10\) 0 0
\(11\) 3.80642i 1.14768i −0.818967 0.573840i \(-0.805453\pi\)
0.818967 0.573840i \(-0.194547\pi\)
\(12\) 0 0
\(13\) −2.62222 −0.727272 −0.363636 0.931541i \(-0.618465\pi\)
−0.363636 + 0.931541i \(0.618465\pi\)
\(14\) 0 0
\(15\) −6.42864 0.903212i −1.65987 0.233208i
\(16\) 0 0
\(17\) 5.80642i 1.40826i −0.710069 0.704132i \(-0.751336\pi\)
0.710069 0.704132i \(-0.248664\pi\)
\(18\) 0 0
\(19\) 5.05086i 1.15875i 0.815063 + 0.579373i \(0.196702\pi\)
−0.815063 + 0.579373i \(0.803298\pi\)
\(20\) 0 0
\(21\) 10.2351i 2.23347i
\(22\) 0 0
\(23\) 0.474572i 0.0989552i 0.998775 + 0.0494776i \(0.0157556\pi\)
−0.998775 + 0.0494776i \(0.984244\pi\)
\(24\) 0 0
\(25\) 4.80642 + 1.37778i 0.961285 + 0.275557i
\(26\) 0 0
\(27\) −7.05086 −1.35694
\(28\) 0 0
\(29\) 2.00000i 0.371391i 0.982607 + 0.185695i \(0.0594537\pi\)
−0.982607 + 0.185695i \(0.940546\pi\)
\(30\) 0 0
\(31\) 2.75557 0.494915 0.247457 0.968899i \(-0.420405\pi\)
0.247457 + 0.968899i \(0.420405\pi\)
\(32\) 0 0
\(33\) 11.0509i 1.92371i
\(34\) 0 0
\(35\) 1.09679 7.80642i 0.185391 1.31953i
\(36\) 0 0
\(37\) −7.18421 −1.18108 −0.590538 0.807010i \(-0.701085\pi\)
−0.590538 + 0.807010i \(0.701085\pi\)
\(38\) 0 0
\(39\) 7.61285 1.21903
\(40\) 0 0
\(41\) −5.18421 −0.809637 −0.404819 0.914397i \(-0.632665\pi\)
−0.404819 + 0.914397i \(0.632665\pi\)
\(42\) 0 0
\(43\) −1.95407 −0.297992 −0.148996 0.988838i \(-0.547604\pi\)
−0.148996 + 0.988838i \(0.547604\pi\)
\(44\) 0 0
\(45\) 12.0207 + 1.68889i 1.79195 + 0.251765i
\(46\) 0 0
\(47\) 5.33185i 0.777730i −0.921295 0.388865i \(-0.872867\pi\)
0.921295 0.388865i \(-0.127133\pi\)
\(48\) 0 0
\(49\) −5.42864 −0.775520
\(50\) 0 0
\(51\) 16.8573i 2.36049i
\(52\) 0 0
\(53\) 5.37778 0.738695 0.369348 0.929291i \(-0.379581\pi\)
0.369348 + 0.929291i \(0.379581\pi\)
\(54\) 0 0
\(55\) 1.18421 8.42864i 0.159679 1.13652i
\(56\) 0 0
\(57\) 14.6637i 1.94225i
\(58\) 0 0
\(59\) 5.05086i 0.657565i 0.944406 + 0.328783i \(0.106638\pi\)
−0.944406 + 0.328783i \(0.893362\pi\)
\(60\) 0 0
\(61\) 12.2351i 1.56654i −0.621682 0.783270i \(-0.713550\pi\)
0.621682 0.783270i \(-0.286450\pi\)
\(62\) 0 0
\(63\) 19.1383i 2.41120i
\(64\) 0 0
\(65\) −5.80642 0.815792i −0.720198 0.101187i
\(66\) 0 0
\(67\) −7.76049 −0.948095 −0.474047 0.880499i \(-0.657207\pi\)
−0.474047 + 0.880499i \(0.657207\pi\)
\(68\) 0 0
\(69\) 1.37778i 0.165866i
\(70\) 0 0
\(71\) −4.85728 −0.576453 −0.288226 0.957562i \(-0.593066\pi\)
−0.288226 + 0.957562i \(0.593066\pi\)
\(72\) 0 0
\(73\) 6.66370i 0.779927i 0.920830 + 0.389964i \(0.127512\pi\)
−0.920830 + 0.389964i \(0.872488\pi\)
\(74\) 0 0
\(75\) −13.9541 4.00000i −1.61128 0.461880i
\(76\) 0 0
\(77\) −13.4193 −1.52927
\(78\) 0 0
\(79\) −5.24443 −0.590045 −0.295022 0.955490i \(-0.595327\pi\)
−0.295022 + 0.955490i \(0.595327\pi\)
\(80\) 0 0
\(81\) 4.18421 0.464912
\(82\) 0 0
\(83\) −12.1476 −1.33338 −0.666689 0.745336i \(-0.732289\pi\)
−0.666689 + 0.745336i \(0.732289\pi\)
\(84\) 0 0
\(85\) 1.80642 12.8573i 0.195934 1.39457i
\(86\) 0 0
\(87\) 5.80642i 0.622514i
\(88\) 0 0
\(89\) −12.1017 −1.28278 −0.641389 0.767216i \(-0.721642\pi\)
−0.641389 + 0.767216i \(0.721642\pi\)
\(90\) 0 0
\(91\) 9.24443i 0.969080i
\(92\) 0 0
\(93\) −8.00000 −0.829561
\(94\) 0 0
\(95\) −1.57136 + 11.1842i −0.161218 + 1.14748i
\(96\) 0 0
\(97\) 13.8064i 1.40183i −0.713245 0.700915i \(-0.752775\pi\)
0.713245 0.700915i \(-0.247225\pi\)
\(98\) 0 0
\(99\) 20.6637i 2.07678i
\(100\) 0 0
\(101\) 19.7146i 1.96167i −0.194836 0.980836i \(-0.562417\pi\)
0.194836 0.980836i \(-0.437583\pi\)
\(102\) 0 0
\(103\) 3.13828i 0.309223i −0.987975 0.154612i \(-0.950587\pi\)
0.987975 0.154612i \(-0.0494127\pi\)
\(104\) 0 0
\(105\) −3.18421 + 22.6637i −0.310747 + 2.21175i
\(106\) 0 0
\(107\) 5.39207 0.521272 0.260636 0.965437i \(-0.416068\pi\)
0.260636 + 0.965437i \(0.416068\pi\)
\(108\) 0 0
\(109\) 8.62222i 0.825858i −0.910763 0.412929i \(-0.864506\pi\)
0.910763 0.412929i \(-0.135494\pi\)
\(110\) 0 0
\(111\) 20.8573 1.97969
\(112\) 0 0
\(113\) 5.51114i 0.518444i 0.965818 + 0.259222i \(0.0834662\pi\)
−0.965818 + 0.259222i \(0.916534\pi\)
\(114\) 0 0
\(115\) −0.147643 + 1.05086i −0.0137678 + 0.0979927i
\(116\) 0 0
\(117\) −14.2351 −1.31603
\(118\) 0 0
\(119\) −20.4701 −1.87649
\(120\) 0 0
\(121\) −3.48886 −0.317169
\(122\) 0 0
\(123\) 15.0509 1.35709
\(124\) 0 0
\(125\) 10.2143 + 4.54617i 0.913597 + 0.406622i
\(126\) 0 0
\(127\) 10.2810i 0.912291i 0.889905 + 0.456145i \(0.150770\pi\)
−0.889905 + 0.456145i \(0.849230\pi\)
\(128\) 0 0
\(129\) 5.67307 0.499486
\(130\) 0 0
\(131\) 4.66370i 0.407470i −0.979026 0.203735i \(-0.934692\pi\)
0.979026 0.203735i \(-0.0653080\pi\)
\(132\) 0 0
\(133\) 17.8064 1.54401
\(134\) 0 0
\(135\) −15.6128 2.19358i −1.34374 0.188793i
\(136\) 0 0
\(137\) 11.3461i 0.969366i 0.874690 + 0.484683i \(0.161065\pi\)
−0.874690 + 0.484683i \(0.838935\pi\)
\(138\) 0 0
\(139\) 11.8064i 1.00141i −0.865619 0.500704i \(-0.833075\pi\)
0.865619 0.500704i \(-0.166925\pi\)
\(140\) 0 0
\(141\) 15.4795i 1.30361i
\(142\) 0 0
\(143\) 9.98126i 0.834675i
\(144\) 0 0
\(145\) −0.622216 + 4.42864i −0.0516722 + 0.367778i
\(146\) 0 0
\(147\) 15.7605 1.29990
\(148\) 0 0
\(149\) 5.47949i 0.448898i −0.974486 0.224449i \(-0.927942\pi\)
0.974486 0.224449i \(-0.0720582\pi\)
\(150\) 0 0
\(151\) 23.6128 1.92159 0.960793 0.277266i \(-0.0894284\pi\)
0.960793 + 0.277266i \(0.0894284\pi\)
\(152\) 0 0
\(153\) 31.5210i 2.54832i
\(154\) 0 0
\(155\) 6.10171 + 0.857279i 0.490101 + 0.0688583i
\(156\) 0 0
\(157\) 0.815792 0.0651073 0.0325536 0.999470i \(-0.489636\pi\)
0.0325536 + 0.999470i \(0.489636\pi\)
\(158\) 0 0
\(159\) −15.6128 −1.23818
\(160\) 0 0
\(161\) 1.67307 0.131856
\(162\) 0 0
\(163\) −10.9032 −0.854005 −0.427003 0.904250i \(-0.640431\pi\)
−0.427003 + 0.904250i \(0.640431\pi\)
\(164\) 0 0
\(165\) −3.43801 + 24.4701i −0.267649 + 1.90500i
\(166\) 0 0
\(167\) 6.57628i 0.508888i 0.967088 + 0.254444i \(0.0818925\pi\)
−0.967088 + 0.254444i \(0.918108\pi\)
\(168\) 0 0
\(169\) −6.12399 −0.471076
\(170\) 0 0
\(171\) 27.4193i 2.09680i
\(172\) 0 0
\(173\) 10.5303 0.800608 0.400304 0.916382i \(-0.368905\pi\)
0.400304 + 0.916382i \(0.368905\pi\)
\(174\) 0 0
\(175\) 4.85728 16.9447i 0.367176 1.28090i
\(176\) 0 0
\(177\) 14.6637i 1.10219i
\(178\) 0 0
\(179\) 6.29529i 0.470532i −0.971931 0.235266i \(-0.924404\pi\)
0.971931 0.235266i \(-0.0755961\pi\)
\(180\) 0 0
\(181\) 0.488863i 0.0363369i 0.999835 + 0.0181684i \(0.00578351\pi\)
−0.999835 + 0.0181684i \(0.994216\pi\)
\(182\) 0 0
\(183\) 35.5210i 2.62579i
\(184\) 0 0
\(185\) −15.9081 2.23506i −1.16959 0.164325i
\(186\) 0 0
\(187\) −22.1017 −1.61624
\(188\) 0 0
\(189\) 24.8573i 1.80810i
\(190\) 0 0
\(191\) 10.4889 0.758947 0.379474 0.925203i \(-0.376105\pi\)
0.379474 + 0.925203i \(0.376105\pi\)
\(192\) 0 0
\(193\) 13.8064i 0.993808i 0.867805 + 0.496904i \(0.165530\pi\)
−0.867805 + 0.496904i \(0.834470\pi\)
\(194\) 0 0
\(195\) 16.8573 + 2.36842i 1.20717 + 0.169606i
\(196\) 0 0
\(197\) −16.7239 −1.19153 −0.595765 0.803159i \(-0.703151\pi\)
−0.595765 + 0.803159i \(0.703151\pi\)
\(198\) 0 0
\(199\) −20.8573 −1.47853 −0.739267 0.673413i \(-0.764828\pi\)
−0.739267 + 0.673413i \(0.764828\pi\)
\(200\) 0 0
\(201\) 22.5303 1.58917
\(202\) 0 0
\(203\) 7.05086 0.494873
\(204\) 0 0
\(205\) −11.4795 1.61285i −0.801763 0.112646i
\(206\) 0 0
\(207\) 2.57628i 0.179064i
\(208\) 0 0
\(209\) 19.2257 1.32987
\(210\) 0 0
\(211\) 4.66370i 0.321063i −0.987031 0.160531i \(-0.948679\pi\)
0.987031 0.160531i \(-0.0513207\pi\)
\(212\) 0 0
\(213\) 14.1017 0.966233
\(214\) 0 0
\(215\) −4.32693 0.607926i −0.295094 0.0414602i
\(216\) 0 0
\(217\) 9.71456i 0.659467i
\(218\) 0 0
\(219\) 19.3461i 1.30729i
\(220\) 0 0
\(221\) 15.2257i 1.02419i
\(222\) 0 0
\(223\) 26.4558i 1.77161i −0.464054 0.885807i \(-0.653606\pi\)
0.464054 0.885807i \(-0.346394\pi\)
\(224\) 0 0
\(225\) 26.0923 + 7.47949i 1.73949 + 0.498633i
\(226\) 0 0
\(227\) 12.3225 0.817872 0.408936 0.912563i \(-0.365900\pi\)
0.408936 + 0.912563i \(0.365900\pi\)
\(228\) 0 0
\(229\) 13.2257i 0.873979i 0.899467 + 0.436989i \(0.143955\pi\)
−0.899467 + 0.436989i \(0.856045\pi\)
\(230\) 0 0
\(231\) 38.9590 2.56331
\(232\) 0 0
\(233\) 6.66370i 0.436554i 0.975887 + 0.218277i \(0.0700436\pi\)
−0.975887 + 0.218277i \(0.929956\pi\)
\(234\) 0 0
\(235\) 1.65878 11.8064i 0.108207 0.770166i
\(236\) 0 0
\(237\) 15.2257 0.989015
\(238\) 0 0
\(239\) 22.9590 1.48509 0.742547 0.669794i \(-0.233618\pi\)
0.742547 + 0.669794i \(0.233618\pi\)
\(240\) 0 0
\(241\) −14.0415 −0.904492 −0.452246 0.891893i \(-0.649377\pi\)
−0.452246 + 0.891893i \(0.649377\pi\)
\(242\) 0 0
\(243\) 9.00492 0.577666
\(244\) 0 0
\(245\) −12.0207 1.68889i −0.767977 0.107899i
\(246\) 0 0
\(247\) 13.2444i 0.842723i
\(248\) 0 0
\(249\) 35.2672 2.23497
\(250\) 0 0
\(251\) 24.9304i 1.57359i 0.617212 + 0.786797i \(0.288262\pi\)
−0.617212 + 0.786797i \(0.711738\pi\)
\(252\) 0 0
\(253\) 1.80642 0.113569
\(254\) 0 0
\(255\) −5.24443 + 37.3274i −0.328419 + 2.33753i
\(256\) 0 0
\(257\) 25.7146i 1.60403i 0.597304 + 0.802015i \(0.296239\pi\)
−0.597304 + 0.802015i \(0.703761\pi\)
\(258\) 0 0
\(259\) 25.3274i 1.57377i
\(260\) 0 0
\(261\) 10.8573i 0.672049i
\(262\) 0 0
\(263\) 2.57628i 0.158860i 0.996840 + 0.0794302i \(0.0253101\pi\)
−0.996840 + 0.0794302i \(0.974690\pi\)
\(264\) 0 0
\(265\) 11.9081 + 1.67307i 0.731511 + 0.102776i
\(266\) 0 0
\(267\) 35.1338 2.15016
\(268\) 0 0
\(269\) 25.7462i 1.56977i −0.619639 0.784887i \(-0.712721\pi\)
0.619639 0.784887i \(-0.287279\pi\)
\(270\) 0 0
\(271\) −30.1847 −1.83359 −0.916795 0.399359i \(-0.869233\pi\)
−0.916795 + 0.399359i \(0.869233\pi\)
\(272\) 0 0
\(273\) 26.8385i 1.62434i
\(274\) 0 0
\(275\) 5.24443 18.2953i 0.316251 1.10325i
\(276\) 0 0
\(277\) 10.5303 0.632707 0.316354 0.948641i \(-0.397541\pi\)
0.316354 + 0.948641i \(0.397541\pi\)
\(278\) 0 0
\(279\) 14.9590 0.895571
\(280\) 0 0
\(281\) 7.93978 0.473647 0.236824 0.971553i \(-0.423894\pi\)
0.236824 + 0.971553i \(0.423894\pi\)
\(282\) 0 0
\(283\) 10.9032 0.648129 0.324064 0.946035i \(-0.394951\pi\)
0.324064 + 0.946035i \(0.394951\pi\)
\(284\) 0 0
\(285\) 4.56199 32.4701i 0.270229 1.92336i
\(286\) 0 0
\(287\) 18.2766i 1.07883i
\(288\) 0 0
\(289\) −16.7146 −0.983209
\(290\) 0 0
\(291\) 40.0830i 2.34971i
\(292\) 0 0
\(293\) 4.42864 0.258724 0.129362 0.991597i \(-0.458707\pi\)
0.129362 + 0.991597i \(0.458707\pi\)
\(294\) 0 0
\(295\) −1.57136 + 11.1842i −0.0914881 + 0.651170i
\(296\) 0 0
\(297\) 26.8385i 1.55733i
\(298\) 0 0
\(299\) 1.24443i 0.0719673i
\(300\) 0 0
\(301\) 6.88892i 0.397071i
\(302\) 0 0
\(303\) 57.2355i 3.28810i
\(304\) 0 0
\(305\) 3.80642 27.0923i 0.217955 1.55130i
\(306\) 0 0
\(307\) −5.27163 −0.300868 −0.150434 0.988620i \(-0.548067\pi\)
−0.150434 + 0.988620i \(0.548067\pi\)
\(308\) 0 0
\(309\) 9.11108i 0.518311i
\(310\) 0 0
\(311\) 0.387152 0.0219534 0.0109767 0.999940i \(-0.496506\pi\)
0.0109767 + 0.999940i \(0.496506\pi\)
\(312\) 0 0
\(313\) 11.3461i 0.641322i −0.947194 0.320661i \(-0.896095\pi\)
0.947194 0.320661i \(-0.103905\pi\)
\(314\) 0 0
\(315\) 5.95407 42.3783i 0.335474 2.38774i
\(316\) 0 0
\(317\) −16.7239 −0.939309 −0.469655 0.882850i \(-0.655622\pi\)
−0.469655 + 0.882850i \(0.655622\pi\)
\(318\) 0 0
\(319\) 7.61285 0.426238
\(320\) 0 0
\(321\) −15.6543 −0.873740
\(322\) 0 0
\(323\) 29.3274 1.63182
\(324\) 0 0
\(325\) −12.6035 3.61285i −0.699115 0.200405i
\(326\) 0 0
\(327\) 25.0321i 1.38428i
\(328\) 0 0
\(329\) −18.7971 −1.03632
\(330\) 0 0
\(331\) 3.33630i 0.183379i 0.995788 + 0.0916897i \(0.0292268\pi\)
−0.995788 + 0.0916897i \(0.970773\pi\)
\(332\) 0 0
\(333\) −39.0005 −2.13721
\(334\) 0 0
\(335\) −17.1842 2.41435i −0.938874 0.131910i
\(336\) 0 0
\(337\) 3.61285i 0.196804i 0.995147 + 0.0984022i \(0.0313732\pi\)
−0.995147 + 0.0984022i \(0.968627\pi\)
\(338\) 0 0
\(339\) 16.0000i 0.869001i
\(340\) 0 0
\(341\) 10.4889i 0.568004i
\(342\) 0 0
\(343\) 5.53972i 0.299117i
\(344\) 0 0
\(345\) 0.428639 3.05086i 0.0230772 0.164253i
\(346\) 0 0
\(347\) 15.7605 0.846067 0.423034 0.906114i \(-0.360965\pi\)
0.423034 + 0.906114i \(0.360965\pi\)
\(348\) 0 0
\(349\) 0.285442i 0.0152794i 0.999971 + 0.00763968i \(0.00243181\pi\)
−0.999971 + 0.00763968i \(0.997568\pi\)
\(350\) 0 0
\(351\) 18.4889 0.986862
\(352\) 0 0
\(353\) 4.38715i 0.233505i −0.993161 0.116752i \(-0.962752\pi\)
0.993161 0.116752i \(-0.0372484\pi\)
\(354\) 0 0
\(355\) −10.7556 1.51114i −0.570846 0.0802028i
\(356\) 0 0
\(357\) 59.4291 3.14532
\(358\) 0 0
\(359\) 20.5906 1.08673 0.543364 0.839497i \(-0.317150\pi\)
0.543364 + 0.839497i \(0.317150\pi\)
\(360\) 0 0
\(361\) −6.51114 −0.342691
\(362\) 0 0
\(363\) 10.1289 0.531630
\(364\) 0 0
\(365\) −2.07313 + 14.7556i −0.108513 + 0.772342i
\(366\) 0 0
\(367\) 16.5575i 0.864297i −0.901802 0.432148i \(-0.857756\pi\)
0.901802 0.432148i \(-0.142244\pi\)
\(368\) 0 0
\(369\) −28.1432 −1.46508
\(370\) 0 0
\(371\) 18.9590i 0.984302i
\(372\) 0 0
\(373\) −24.8988 −1.28921 −0.644605 0.764516i \(-0.722978\pi\)
−0.644605 + 0.764516i \(0.722978\pi\)
\(374\) 0 0
\(375\) −29.6543 13.1985i −1.53134 0.681568i
\(376\) 0 0
\(377\) 5.24443i 0.270102i
\(378\) 0 0
\(379\) 9.31756i 0.478611i −0.970944 0.239305i \(-0.923080\pi\)
0.970944 0.239305i \(-0.0769197\pi\)
\(380\) 0 0
\(381\) 29.8479i 1.52915i
\(382\) 0 0
\(383\) 32.5575i 1.66361i −0.555066 0.831806i \(-0.687307\pi\)
0.555066 0.831806i \(-0.312693\pi\)
\(384\) 0 0
\(385\) −29.7146 4.17484i −1.51439 0.212770i
\(386\) 0 0
\(387\) −10.6079 −0.539231
\(388\) 0 0
\(389\) 18.9906i 0.962863i −0.876484 0.481432i \(-0.840117\pi\)
0.876484 0.481432i \(-0.159883\pi\)
\(390\) 0 0
\(391\) 2.75557 0.139355
\(392\) 0 0
\(393\) 13.5397i 0.682988i
\(394\) 0 0
\(395\) −11.6128 1.63158i −0.584306 0.0820939i
\(396\) 0 0
\(397\) 32.9906 1.65575 0.827876 0.560911i \(-0.189549\pi\)
0.827876 + 0.560911i \(0.189549\pi\)
\(398\) 0 0
\(399\) −51.6958 −2.58803
\(400\) 0 0
\(401\) −16.1017 −0.804081 −0.402041 0.915622i \(-0.631699\pi\)
−0.402041 + 0.915622i \(0.631699\pi\)
\(402\) 0 0
\(403\) −7.22570 −0.359938
\(404\) 0 0
\(405\) 9.26517 + 1.30174i 0.460390 + 0.0646840i
\(406\) 0 0
\(407\) 27.3461i 1.35550i
\(408\) 0 0
\(409\) −33.3876 −1.65091 −0.825456 0.564466i \(-0.809082\pi\)
−0.825456 + 0.564466i \(0.809082\pi\)
\(410\) 0 0
\(411\) 32.9403i 1.62482i
\(412\) 0 0
\(413\) 17.8064 0.876197
\(414\) 0 0
\(415\) −26.8988 3.77923i −1.32041 0.185515i
\(416\) 0 0
\(417\) 34.2766i 1.67853i
\(418\) 0 0
\(419\) 27.4193i 1.33952i 0.742578 + 0.669760i \(0.233603\pi\)
−0.742578 + 0.669760i \(0.766397\pi\)
\(420\) 0 0
\(421\) 12.2351i 0.596301i 0.954519 + 0.298150i \(0.0963696\pi\)
−0.954519 + 0.298150i \(0.903630\pi\)
\(422\) 0 0
\(423\) 28.9447i 1.40734i
\(424\) 0 0
\(425\) 8.00000 27.9081i 0.388057 1.35374i
\(426\) 0 0
\(427\) −43.1338 −2.08739
\(428\) 0 0
\(429\) 28.9777i 1.39906i
\(430\) 0 0
\(431\) 28.4701 1.37136 0.685679 0.727904i \(-0.259505\pi\)
0.685679 + 0.727904i \(0.259505\pi\)
\(432\) 0 0
\(433\) 34.0098i 1.63441i 0.576348 + 0.817204i \(0.304477\pi\)
−0.576348 + 0.817204i \(0.695523\pi\)
\(434\) 0 0
\(435\) 1.80642 12.8573i 0.0866114 0.616459i
\(436\) 0 0
\(437\) −2.39700 −0.114664
\(438\) 0 0
\(439\) 14.8385 0.708205 0.354103 0.935207i \(-0.384786\pi\)
0.354103 + 0.935207i \(0.384786\pi\)
\(440\) 0 0
\(441\) −29.4701 −1.40334
\(442\) 0 0
\(443\) −13.0968 −0.622247 −0.311124 0.950369i \(-0.600705\pi\)
−0.311124 + 0.950369i \(0.600705\pi\)
\(444\) 0 0
\(445\) −26.7971 3.76494i −1.27030 0.178475i
\(446\) 0 0
\(447\) 15.9081i 0.752429i
\(448\) 0 0
\(449\) 21.3876 1.00934 0.504672 0.863311i \(-0.331613\pi\)
0.504672 + 0.863311i \(0.331613\pi\)
\(450\) 0 0
\(451\) 19.7333i 0.929205i
\(452\) 0 0
\(453\) −68.5531 −3.22091
\(454\) 0 0
\(455\) −2.87601 + 20.4701i −0.134830 + 0.959654i
\(456\) 0 0
\(457\) 17.9813i 0.841128i 0.907263 + 0.420564i \(0.138168\pi\)
−0.907263 + 0.420564i \(0.861832\pi\)
\(458\) 0 0
\(459\) 40.9403i 1.91093i
\(460\) 0 0
\(461\) 10.7368i 0.500064i −0.968238 0.250032i \(-0.919559\pi\)
0.968238 0.250032i \(-0.0804412\pi\)
\(462\) 0 0
\(463\) 9.30327i 0.432360i 0.976354 + 0.216180i \(0.0693598\pi\)
−0.976354 + 0.216180i \(0.930640\pi\)
\(464\) 0 0
\(465\) −17.7146 2.48886i −0.821493 0.115418i
\(466\) 0 0
\(467\) 8.70964 0.403034 0.201517 0.979485i \(-0.435413\pi\)
0.201517 + 0.979485i \(0.435413\pi\)
\(468\) 0 0
\(469\) 27.3590i 1.26332i
\(470\) 0 0
\(471\) −2.36842 −0.109131
\(472\) 0 0
\(473\) 7.43801i 0.342000i
\(474\) 0 0
\(475\) −6.95899 + 24.2766i −0.319300 + 1.11388i
\(476\) 0 0
\(477\) 29.1941 1.33670
\(478\) 0 0
\(479\) 23.2257 1.06121 0.530605 0.847619i \(-0.321965\pi\)
0.530605 + 0.847619i \(0.321965\pi\)
\(480\) 0 0
\(481\) 18.8385 0.858964
\(482\) 0 0
\(483\) −4.85728 −0.221014
\(484\) 0 0
\(485\) 4.29529 30.5718i 0.195039 1.38820i
\(486\) 0 0
\(487\) 32.8528i 1.48870i −0.667787 0.744352i \(-0.732759\pi\)
0.667787 0.744352i \(-0.267241\pi\)
\(488\) 0 0
\(489\) 31.6543 1.43146
\(490\) 0 0
\(491\) 2.94914i 0.133093i −0.997783 0.0665465i \(-0.978802\pi\)
0.997783 0.0665465i \(-0.0211981\pi\)
\(492\) 0 0
\(493\) 11.6128 0.523016
\(494\) 0 0
\(495\) 6.42864 45.7560i 0.288946 2.05658i
\(496\) 0 0
\(497\) 17.1240i 0.768116i
\(498\) 0 0
\(499\) 35.0321i 1.56825i −0.620601 0.784127i \(-0.713111\pi\)
0.620601 0.784127i \(-0.286889\pi\)
\(500\) 0 0
\(501\) 19.0923i 0.852983i
\(502\) 0 0
\(503\) 16.2908i 0.726373i 0.931717 + 0.363186i \(0.118311\pi\)
−0.931717 + 0.363186i \(0.881689\pi\)
\(504\) 0 0
\(505\) 6.13335 43.6543i 0.272931 1.94259i
\(506\) 0 0
\(507\) 17.7792 0.789603
\(508\) 0 0
\(509\) 26.0000i 1.15243i 0.817298 + 0.576215i \(0.195471\pi\)
−0.817298 + 0.576215i \(0.804529\pi\)
\(510\) 0 0
\(511\) 23.4924 1.03924
\(512\) 0 0
\(513\) 35.6128i 1.57235i
\(514\) 0 0
\(515\) 0.976342 6.94914i 0.0430228 0.306216i
\(516\) 0 0
\(517\) −20.2953 −0.892586
\(518\) 0 0
\(519\) −30.5718 −1.34195
\(520\) 0 0
\(521\) −11.7146 −0.513224 −0.256612 0.966514i \(-0.582606\pi\)
−0.256612 + 0.966514i \(0.582606\pi\)
\(522\) 0 0
\(523\) −38.0370 −1.66324 −0.831622 0.555342i \(-0.812587\pi\)
−0.831622 + 0.555342i \(0.812587\pi\)
\(524\) 0 0
\(525\) −14.1017 + 49.1941i −0.615449 + 2.14700i
\(526\) 0 0
\(527\) 16.0000i 0.696971i
\(528\) 0 0
\(529\) 22.7748 0.990208
\(530\) 0 0
\(531\) 27.4193i 1.18990i
\(532\) 0 0
\(533\) 13.5941 0.588826
\(534\) 0 0
\(535\) 11.9398 + 1.67752i 0.516202 + 0.0725254i
\(536\) 0 0
\(537\) 18.2766i 0.788691i
\(538\) 0 0
\(539\) 20.6637i 0.890049i
\(540\) 0 0
\(541\) 11.5111i 0.494902i −0.968900 0.247451i \(-0.920407\pi\)
0.968900 0.247451i \(-0.0795930\pi\)
\(542\) 0 0
\(543\) 1.41927i 0.0609068i
\(544\) 0 0
\(545\) 2.68244 19.0923i 0.114903 0.817826i
\(546\) 0 0
\(547\) 30.2208 1.29215 0.646073 0.763275i \(-0.276410\pi\)
0.646073 + 0.763275i \(0.276410\pi\)
\(548\) 0 0
\(549\) 66.4197i 2.83473i
\(550\) 0 0
\(551\) −10.1017 −0.430347
\(552\) 0 0
\(553\) 18.4889i 0.786226i
\(554\) 0 0
\(555\) 46.1847 + 6.48886i 1.96043 + 0.275437i
\(556\) 0 0
\(557\) 9.75605 0.413377 0.206688 0.978407i \(-0.433731\pi\)
0.206688 + 0.978407i \(0.433731\pi\)
\(558\) 0 0
\(559\) 5.12399 0.216721
\(560\) 0 0
\(561\) 64.1659 2.70909
\(562\) 0 0
\(563\) 4.50622 0.189914 0.0949572 0.995481i \(-0.469729\pi\)
0.0949572 + 0.995481i \(0.469729\pi\)
\(564\) 0 0
\(565\) −1.71456 + 12.2034i −0.0721320 + 0.513402i
\(566\) 0 0
\(567\) 14.7511i 0.619489i
\(568\) 0 0
\(569\) 5.30465 0.222383 0.111191 0.993799i \(-0.464533\pi\)
0.111191 + 0.993799i \(0.464533\pi\)
\(570\) 0 0
\(571\) 16.3970i 0.686193i 0.939300 + 0.343096i \(0.111476\pi\)
−0.939300 + 0.343096i \(0.888524\pi\)
\(572\) 0 0
\(573\) −30.4514 −1.27213
\(574\) 0 0
\(575\) −0.653858 + 2.28100i −0.0272678 + 0.0951241i
\(576\) 0 0
\(577\) 39.8163i 1.65757i −0.559565 0.828786i \(-0.689032\pi\)
0.559565 0.828786i \(-0.310968\pi\)
\(578\) 0 0
\(579\) 40.0830i 1.66579i
\(580\) 0 0
\(581\) 42.8256i 1.77671i
\(582\) 0 0
\(583\) 20.4701i 0.847786i
\(584\) 0 0
\(585\) −31.5210 4.42864i −1.30323 0.183102i
\(586\) 0 0
\(587\) 15.1699 0.626130 0.313065 0.949732i \(-0.398644\pi\)
0.313065 + 0.949732i \(0.398644\pi\)
\(588\) 0 0
\(589\) 13.9180i 0.573480i
\(590\) 0 0
\(591\) 48.5531 1.99721
\(592\) 0 0
\(593\) 8.00000i 0.328521i −0.986417 0.164260i \(-0.947476\pi\)
0.986417 0.164260i \(-0.0525237\pi\)
\(594\) 0 0
\(595\) −45.3274 6.36842i −1.85824 0.261080i
\(596\) 0 0
\(597\) 60.5531 2.47827
\(598\) 0 0
\(599\) −1.83500 −0.0749762 −0.0374881 0.999297i \(-0.511936\pi\)
−0.0374881 + 0.999297i \(0.511936\pi\)
\(600\) 0 0
\(601\) 36.1432 1.47431 0.737156 0.675723i \(-0.236168\pi\)
0.737156 + 0.675723i \(0.236168\pi\)
\(602\) 0 0
\(603\) −42.1289 −1.71562
\(604\) 0 0
\(605\) −7.72546 1.08541i −0.314084 0.0441283i
\(606\) 0 0
\(607\) 17.5353i 0.711735i −0.934536 0.355867i \(-0.884185\pi\)
0.934536 0.355867i \(-0.115815\pi\)
\(608\) 0 0
\(609\) −20.4701 −0.829491
\(610\) 0 0
\(611\) 13.9813i 0.565621i
\(612\) 0 0
\(613\) 33.9309 1.37046 0.685228 0.728329i \(-0.259703\pi\)
0.685228 + 0.728329i \(0.259703\pi\)
\(614\) 0 0
\(615\) 33.3274 + 4.68244i 1.34389 + 0.188814i
\(616\) 0 0
\(617\) 9.68598i 0.389943i −0.980809 0.194971i \(-0.937539\pi\)
0.980809 0.194971i \(-0.0624614\pi\)
\(618\) 0 0
\(619\) 41.4005i 1.66403i −0.554755 0.832014i \(-0.687188\pi\)
0.554755 0.832014i \(-0.312812\pi\)
\(620\) 0 0
\(621\) 3.34614i 0.134276i
\(622\) 0 0
\(623\) 42.6637i 1.70929i
\(624\) 0 0
\(625\) 21.2034 + 13.2444i 0.848137 + 0.529777i
\(626\) 0 0
\(627\) −55.8163 −2.22909
\(628\) 0 0
\(629\) 41.7146i 1.66327i
\(630\) 0 0
\(631\) −27.8163 −1.10735 −0.553674 0.832733i \(-0.686775\pi\)
−0.553674 + 0.832733i \(0.686775\pi\)
\(632\) 0 0
\(633\) 13.5397i 0.538155i
\(634\) 0 0
\(635\) −3.19850 + 22.7654i −0.126929 + 0.903418i
\(636\) 0 0
\(637\) 14.2351 0.564014
\(638\) 0 0
\(639\) −26.3684 −1.04312
\(640\) 0 0
\(641\) 42.8988 1.69440 0.847200 0.531275i \(-0.178287\pi\)
0.847200 + 0.531275i \(0.178287\pi\)
\(642\) 0 0
\(643\) −27.9639 −1.10279 −0.551395 0.834245i \(-0.685904\pi\)
−0.551395 + 0.834245i \(0.685904\pi\)
\(644\) 0 0
\(645\) 12.5620 + 1.76494i 0.494628 + 0.0694943i
\(646\) 0 0
\(647\) 7.13828i 0.280635i −0.990107 0.140317i \(-0.955188\pi\)
0.990107 0.140317i \(-0.0448123\pi\)
\(648\) 0 0
\(649\) 19.2257 0.754675
\(650\) 0 0
\(651\) 28.2034i 1.10538i
\(652\) 0 0
\(653\) 17.7649 0.695196 0.347598 0.937644i \(-0.386997\pi\)
0.347598 + 0.937644i \(0.386997\pi\)
\(654\) 0 0
\(655\) 1.45091 10.3269i 0.0566919 0.403507i
\(656\) 0 0
\(657\) 36.1748i 1.41131i
\(658\) 0 0
\(659\) 20.1936i 0.786630i 0.919404 + 0.393315i \(0.128672\pi\)
−0.919404 + 0.393315i \(0.871328\pi\)
\(660\) 0 0
\(661\) 22.0701i 0.858426i −0.903203 0.429213i \(-0.858791\pi\)
0.903203 0.429213i \(-0.141209\pi\)
\(662\) 0 0
\(663\) 44.2034i 1.71672i
\(664\) 0 0
\(665\) 39.4291 + 5.53972i 1.52900 + 0.214821i
\(666\) 0 0
\(667\) −0.949145 −0.0367510
\(668\) 0 0
\(669\) 76.8069i 2.96953i
\(670\) 0 0
\(671\) −46.5718 −1.79789
\(672\) 0 0
\(673\) 26.0098i 1.00261i −0.865272 0.501303i \(-0.832854\pi\)
0.865272 0.501303i \(-0.167146\pi\)
\(674\) 0 0
\(675\) −33.8894 9.71456i −1.30440 0.373914i
\(676\) 0 0
\(677\) 7.86665 0.302340 0.151170 0.988508i \(-0.451696\pi\)
0.151170 + 0.988508i \(0.451696\pi\)
\(678\) 0 0
\(679\) −48.6735 −1.86792
\(680\) 0 0
\(681\) −35.7748 −1.37089
\(682\) 0 0
\(683\) 18.2494 0.698292 0.349146 0.937068i \(-0.386472\pi\)
0.349146 + 0.937068i \(0.386472\pi\)
\(684\) 0 0
\(685\) −3.52987 + 25.1240i −0.134870 + 0.959938i
\(686\) 0 0
\(687\) 38.3970i 1.46494i
\(688\) 0 0
\(689\) −14.1017 −0.537232
\(690\) 0 0
\(691\) 25.2543i 0.960718i 0.877072 + 0.480359i \(0.159494\pi\)
−0.877072 + 0.480359i \(0.840506\pi\)
\(692\) 0 0
\(693\) −72.8484 −2.76728
\(694\) 0 0
\(695\) 3.67307 26.1432i 0.139328 0.991668i
\(696\) 0 0
\(697\) 30.1017i 1.14018i
\(698\) 0 0
\(699\) 19.3461i 0.731738i
\(700\) 0 0
\(701\) 34.8069i 1.31464i 0.753612 + 0.657319i \(0.228310\pi\)
−0.753612 + 0.657319i \(0.771690\pi\)
\(702\) 0 0
\(703\) 36.2864i 1.36857i
\(704\) 0 0
\(705\) −4.81579 + 34.2766i −0.181373 + 1.29093i
\(706\) 0 0
\(707\) −69.5022 −2.61390
\(708\) 0 0
\(709\) 7.51114i 0.282087i −0.990003 0.141043i \(-0.954954\pi\)
0.990003 0.141043i \(-0.0450457\pi\)
\(710\) 0 0
\(711\) −28.4701 −1.06771
\(712\) 0 0
\(713\) 1.30772i 0.0489744i
\(714\) 0 0
\(715\) −3.10525 + 22.1017i −0.116130 + 0.826557i
\(716\) 0 0
\(717\) −66.6548 −2.48927
\(718\) 0 0
\(719\) 26.7556 0.997814 0.498907 0.866655i \(-0.333735\pi\)
0.498907 + 0.866655i \(0.333735\pi\)
\(720\) 0 0
\(721\) −11.0638 −0.412036
\(722\) 0 0
\(723\) 40.7654 1.51608
\(724\) 0 0
\(725\) −2.75557 + 9.61285i −0.102339 + 0.357012i
\(726\) 0 0
\(727\) 25.6271i 0.950458i −0.879862 0.475229i \(-0.842365\pi\)
0.879862 0.475229i \(-0.157635\pi\)
\(728\) 0 0
\(729\) −38.6958 −1.43318
\(730\) 0 0
\(731\) 11.3461i 0.419652i
\(732\) 0 0
\(733\) 19.6543 0.725949 0.362975 0.931799i \(-0.381761\pi\)
0.362975 + 0.931799i \(0.381761\pi\)
\(734\) 0 0
\(735\) 34.8988 + 4.90321i 1.28726 + 0.180858i
\(736\) 0 0
\(737\) 29.5397i 1.08811i
\(738\) 0 0
\(739\) 32.5433i 1.19712i −0.801077 0.598562i \(-0.795739\pi\)
0.801077 0.598562i \(-0.204261\pi\)
\(740\) 0 0
\(741\) 38.4514i 1.41255i
\(742\) 0 0
\(743\) 23.1383i 0.848861i −0.905461 0.424430i \(-0.860474\pi\)
0.905461 0.424430i \(-0.139526\pi\)
\(744\) 0 0
\(745\) 1.70471 12.1334i 0.0624559 0.444532i
\(746\) 0 0
\(747\) −65.9452 −2.41281
\(748\) 0 0
\(749\) 19.0094i 0.694587i
\(750\) 0 0
\(751\) 2.48886 0.0908199 0.0454099 0.998968i \(-0.485541\pi\)
0.0454099 + 0.998968i \(0.485541\pi\)
\(752\) 0 0
\(753\) 72.3783i 2.63761i
\(754\) 0 0
\(755\) 52.2864 + 7.34614i 1.90290 + 0.267353i
\(756\) 0 0
\(757\) −21.2859 −0.773650 −0.386825 0.922153i \(-0.626428\pi\)
−0.386825 + 0.922153i \(0.626428\pi\)
\(758\) 0 0
\(759\) −5.24443 −0.190361
\(760\) 0 0
\(761\) −19.1240 −0.693244 −0.346622 0.938005i \(-0.612671\pi\)
−0.346622 + 0.938005i \(0.612671\pi\)
\(762\) 0 0
\(763\) −30.3970 −1.10045
\(764\) 0 0
\(765\) 9.80642 69.7975i 0.354552 2.52354i
\(766\) 0 0
\(767\) 13.2444i 0.478229i
\(768\) 0 0
\(769\) 33.9625 1.22472 0.612360 0.790579i \(-0.290220\pi\)
0.612360 + 0.790579i \(0.290220\pi\)
\(770\) 0 0
\(771\) 74.6548i 2.68863i
\(772\) 0 0
\(773\) −0.133353 −0.00479638 −0.00239819 0.999997i \(-0.500763\pi\)
−0.00239819 + 0.999997i \(0.500763\pi\)
\(774\) 0 0
\(775\) 13.2444 + 3.79658i 0.475754 + 0.136377i
\(776\) 0 0
\(777\) 73.5308i 2.63790i
\(778\) 0 0
\(779\) 26.1847i 0.938164i
\(780\) 0 0
\(781\) 18.4889i 0.661584i
\(782\) 0 0
\(783\) 14.1017i 0.503954i
\(784\) 0 0
\(785\) 1.80642 + 0.253799i 0.0644740 + 0.00905848i
\(786\) 0 0
\(787\) −1.12537 −0.0401150 −0.0200575 0.999799i \(-0.506385\pi\)
−0.0200575 + 0.999799i \(0.506385\pi\)
\(788\) 0 0
\(789\) 7.47949i 0.266277i
\(790\) 0 0
\(791\) 19.4291 0.690820
\(792\) 0 0
\(793\) 32.0830i 1.13930i
\(794\) 0 0
\(795\) −34.5718 4.85728i −1.22614 0.172270i
\(796\) 0 0
\(797\) −5.11108 −0.181044 −0.0905218 0.995894i \(-0.528853\pi\)
−0.0905218 + 0.995894i \(0.528853\pi\)
\(798\) 0 0
\(799\) −30.9590 −1.09525
\(800\) 0