Properties

Label 546.2.bu.a.71.7
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.7
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.71146 - 0.266310i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.828570 - 0.828570i) q^{5} +(-1.58421 + 0.700193i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.85816 - 0.911557i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.71146 - 0.266310i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.828570 - 0.828570i) q^{5} +(-1.58421 + 0.700193i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.85816 - 0.911557i) q^{9} +(1.01479 + 0.585888i) q^{10} +(1.25192 + 4.67223i) q^{11} +(1.34901 - 1.08636i) q^{12} +(0.0707604 - 3.60486i) q^{13} +1.00000i q^{14} +(-1.63872 - 1.19740i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.258842 + 0.448327i) q^{17} +(-2.52484 + 1.62024i) q^{18} +(5.50267 + 1.47444i) q^{19} +(-1.13185 - 0.303278i) q^{20} +(0.185721 - 1.72206i) q^{21} +(-2.41852 - 4.18900i) q^{22} +(2.54064 - 4.40052i) q^{23} +(-1.02187 + 1.39849i) q^{24} -3.62694i q^{25} +(0.864656 + 3.50034i) q^{26} +(4.64885 - 2.32125i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(-1.83703 - 1.06061i) q^{29} +(1.89279 + 0.732472i) q^{30} +(4.11077 - 4.11077i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(3.38687 + 7.66290i) q^{33} +(-0.366058 - 0.366058i) q^{34} +(-1.01479 + 0.585888i) q^{35} +(2.01946 - 2.21851i) q^{36} +(-9.86282 + 2.64273i) q^{37} -5.69678 q^{38} +(-0.838908 - 6.18840i) q^{39} +1.17178 q^{40} +(6.46664 - 1.73273i) q^{41} +(0.266310 + 1.71146i) q^{42} +(-0.253885 + 0.146580i) q^{43} +(3.42031 + 3.42031i) q^{44} +(-3.12347 - 1.61290i) q^{45} +(-1.31513 + 4.90814i) q^{46} +(-8.54481 + 8.54481i) q^{47} +(0.625096 - 1.61532i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.938722 + 3.50336i) q^{50} +(0.562390 + 0.698360i) q^{51} +(-1.74115 - 3.15728i) q^{52} -9.52725i q^{53} +(-3.88966 + 3.44536i) q^{54} +(2.83396 - 4.90857i) q^{55} +(0.500000 + 0.866025i) q^{56} +(9.81023 + 1.05801i) q^{57} +(2.04895 + 0.549013i) q^{58} +(-1.53749 - 0.411970i) q^{59} +(-2.01787 - 0.217623i) q^{60} +(5.90367 + 10.2255i) q^{61} +(-2.90675 + 5.03464i) q^{62} +(-0.140751 - 2.99670i) q^{63} -1.00000i q^{64} +(-3.04551 + 2.92825i) q^{65} +(-5.25477 - 6.52521i) q^{66} +(2.99192 + 11.1660i) q^{67} +(0.448327 + 0.258842i) q^{68} +(3.17629 - 8.20789i) q^{69} +(0.828570 - 0.828570i) q^{70} +(-0.487312 + 1.81867i) q^{71} +(-1.37645 + 2.66559i) q^{72} +(4.68386 + 4.68386i) q^{73} +(8.84276 - 5.10537i) q^{74} +(-0.965893 - 6.20735i) q^{75} +(5.50267 - 1.47444i) q^{76} +4.83704 q^{77} +(2.41200 + 5.76041i) q^{78} +2.53289 q^{79} +(-1.13185 + 0.303278i) q^{80} +(7.33813 - 5.21075i) q^{81} +(-5.79783 + 3.34738i) q^{82} +(-11.7215 - 11.7215i) q^{83} +(-0.700193 - 1.58421i) q^{84} +(0.157002 - 0.585939i) q^{85} +(0.207296 - 0.207296i) q^{86} +(-3.42645 - 1.32597i) q^{87} +(-4.18900 - 2.41852i) q^{88} +(0.717827 + 2.67897i) q^{89} +(3.43449 + 0.749523i) q^{90} +(-3.46371 - 1.00135i) q^{91} -5.08128i q^{92} +(5.94066 - 8.13014i) q^{93} +(6.04209 - 10.4652i) q^{94} +(-3.33767 - 5.78102i) q^{95} +(-0.185721 + 1.72206i) q^{96} +(3.95229 + 1.05901i) q^{97} +(0.965926 + 0.258819i) q^{98} +(7.83718 + 12.2128i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.71146 0.266310i 0.988109 0.153754i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.828570 0.828570i −0.370548 0.370548i 0.497129 0.867677i \(-0.334388\pi\)
−0.867677 + 0.497129i \(0.834388\pi\)
\(6\) −1.58421 + 0.700193i −0.646752 + 0.285853i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.85816 0.911557i 0.952719 0.303852i
\(10\) 1.01479 + 0.585888i 0.320904 + 0.185274i
\(11\) 1.25192 + 4.67223i 0.377468 + 1.40873i 0.849705 + 0.527258i \(0.176780\pi\)
−0.472238 + 0.881471i \(0.656554\pi\)
\(12\) 1.34901 1.08636i 0.389425 0.313605i
\(13\) 0.0707604 3.60486i 0.0196254 0.999807i
\(14\) 1.00000i 0.267261i
\(15\) −1.63872 1.19740i −0.423115 0.309168i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.258842 + 0.448327i 0.0627784 + 0.108735i 0.895706 0.444646i \(-0.146671\pi\)
−0.832928 + 0.553381i \(0.813337\pi\)
\(18\) −2.52484 + 1.62024i −0.595110 + 0.381895i
\(19\) 5.50267 + 1.47444i 1.26240 + 0.338259i 0.827114 0.562034i \(-0.189981\pi\)
0.435285 + 0.900293i \(0.356648\pi\)
\(20\) −1.13185 0.303278i −0.253089 0.0678150i
\(21\) 0.185721 1.72206i 0.0405276 0.375785i
\(22\) −2.41852 4.18900i −0.515631 0.893098i
\(23\) 2.54064 4.40052i 0.529760 0.917572i −0.469637 0.882860i \(-0.655615\pi\)
0.999397 0.0347123i \(-0.0110515\pi\)
\(24\) −1.02187 + 1.39849i −0.208589 + 0.285466i
\(25\) 3.62694i 0.725389i
\(26\) 0.864656 + 3.50034i 0.169573 + 0.686473i
\(27\) 4.64885 2.32125i 0.894672 0.446724i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) −1.83703 1.06061i −0.341129 0.196951i 0.319642 0.947538i \(-0.396437\pi\)
−0.660771 + 0.750588i \(0.729771\pi\)
\(30\) 1.89279 + 0.732472i 0.345575 + 0.133730i
\(31\) 4.11077 4.11077i 0.738316 0.738316i −0.233936 0.972252i \(-0.575161\pi\)
0.972252 + 0.233936i \(0.0751607\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 3.38687 + 7.66290i 0.589578 + 1.33394i
\(34\) −0.366058 0.366058i −0.0627784 0.0627784i
\(35\) −1.01479 + 0.585888i −0.171530 + 0.0990331i
\(36\) 2.01946 2.21851i 0.336576 0.369752i
\(37\) −9.86282 + 2.64273i −1.62144 + 0.434463i −0.951423 0.307886i \(-0.900379\pi\)
−0.670014 + 0.742349i \(0.733712\pi\)
\(38\) −5.69678 −0.924140
\(39\) −0.838908 6.18840i −0.134333 0.990936i
\(40\) 1.17178 0.185274
\(41\) 6.46664 1.73273i 1.00992 0.270607i 0.284324 0.958728i \(-0.408231\pi\)
0.725596 + 0.688121i \(0.241564\pi\)
\(42\) 0.266310 + 1.71146i 0.0410926 + 0.264083i
\(43\) −0.253885 + 0.146580i −0.0387170 + 0.0223533i −0.519234 0.854632i \(-0.673783\pi\)
0.480517 + 0.876986i \(0.340449\pi\)
\(44\) 3.42031 + 3.42031i 0.515631 + 0.515631i
\(45\) −3.12347 1.61290i −0.465620 0.240436i
\(46\) −1.31513 + 4.90814i −0.193906 + 0.723666i
\(47\) −8.54481 + 8.54481i −1.24639 + 1.24639i −0.289086 + 0.957303i \(0.593351\pi\)
−0.957303 + 0.289086i \(0.906649\pi\)
\(48\) 0.625096 1.61532i 0.0902248 0.233151i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 0.938722 + 3.50336i 0.132755 + 0.495450i
\(51\) 0.562390 + 0.698360i 0.0787504 + 0.0977899i
\(52\) −1.74115 3.15728i −0.241454 0.437836i
\(53\) 9.52725i 1.30867i −0.756206 0.654334i \(-0.772949\pi\)
0.756206 0.654334i \(-0.227051\pi\)
\(54\) −3.88966 + 3.44536i −0.529316 + 0.468854i
\(55\) 2.83396 4.90857i 0.382132 0.661871i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 9.81023 + 1.05801i 1.29940 + 0.140137i
\(58\) 2.04895 + 0.549013i 0.269040 + 0.0720890i
\(59\) −1.53749 0.411970i −0.200164 0.0536339i 0.157344 0.987544i \(-0.449707\pi\)
−0.357508 + 0.933910i \(0.616374\pi\)
\(60\) −2.01787 0.217623i −0.260506 0.0280950i
\(61\) 5.90367 + 10.2255i 0.755888 + 1.30924i 0.944932 + 0.327267i \(0.106128\pi\)
−0.189044 + 0.981969i \(0.560539\pi\)
\(62\) −2.90675 + 5.03464i −0.369158 + 0.639400i
\(63\) −0.140751 2.99670i −0.0177329 0.377548i
\(64\) 1.00000i 0.125000i
\(65\) −3.04551 + 2.92825i −0.377749 + 0.363204i
\(66\) −5.25477 6.52521i −0.646817 0.803198i
\(67\) 2.99192 + 11.1660i 0.365521 + 1.36414i 0.866713 + 0.498807i \(0.166228\pi\)
−0.501192 + 0.865336i \(0.667105\pi\)
\(68\) 0.448327 + 0.258842i 0.0543677 + 0.0313892i
\(69\) 3.17629 8.20789i 0.382380 0.988114i
\(70\) 0.828570 0.828570i 0.0990331 0.0990331i
\(71\) −0.487312 + 1.81867i −0.0578332 + 0.215837i −0.988795 0.149280i \(-0.952304\pi\)
0.930962 + 0.365117i \(0.118971\pi\)
\(72\) −1.37645 + 2.66559i −0.162217 + 0.314143i
\(73\) 4.68386 + 4.68386i 0.548205 + 0.548205i 0.925921 0.377716i \(-0.123291\pi\)
−0.377716 + 0.925921i \(0.623291\pi\)
\(74\) 8.84276 5.10537i 1.02795 0.593487i
\(75\) −0.965893 6.20735i −0.111532 0.716763i
\(76\) 5.50267 1.47444i 0.631199 0.169129i
\(77\) 4.83704 0.551232
\(78\) 2.41200 + 5.76041i 0.273105 + 0.652237i
\(79\) 2.53289 0.284973 0.142486 0.989797i \(-0.454490\pi\)
0.142486 + 0.989797i \(0.454490\pi\)
\(80\) −1.13185 + 0.303278i −0.126544 + 0.0339075i
\(81\) 7.33813 5.21075i 0.815348 0.578972i
\(82\) −5.79783 + 3.34738i −0.640263 + 0.369656i
\(83\) −11.7215 11.7215i −1.28660 1.28660i −0.936841 0.349756i \(-0.886264\pi\)
−0.349756 0.936841i \(-0.613736\pi\)
\(84\) −0.700193 1.58421i −0.0763974 0.172852i
\(85\) 0.157002 0.585939i 0.0170292 0.0635540i
\(86\) 0.207296 0.207296i 0.0223533 0.0223533i
\(87\) −3.42645 1.32597i −0.367354 0.142159i
\(88\) −4.18900 2.41852i −0.446549 0.257815i
\(89\) 0.717827 + 2.67897i 0.0760895 + 0.283970i 0.993478 0.114023i \(-0.0363737\pi\)
−0.917389 + 0.397993i \(0.869707\pi\)
\(90\) 3.43449 + 0.749523i 0.362027 + 0.0790066i
\(91\) −3.46371 1.00135i −0.363095 0.104971i
\(92\) 5.08128i 0.529760i
\(93\) 5.94066 8.13014i 0.616017 0.843056i
\(94\) 6.04209 10.4652i 0.623194 1.07940i
\(95\) −3.33767 5.78102i −0.342438 0.593120i
\(96\) −0.185721 + 1.72206i −0.0189551 + 0.175758i
\(97\) 3.95229 + 1.05901i 0.401294 + 0.107526i 0.453821 0.891093i \(-0.350061\pi\)
−0.0525264 + 0.998620i \(0.516727\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) 7.83718 + 12.2128i 0.787666 + 1.22743i
\(100\) −1.81347 3.14102i −0.181347 0.314102i
\(101\) −1.81765 + 3.14826i −0.180863 + 0.313264i −0.942175 0.335122i \(-0.891222\pi\)
0.761312 + 0.648386i \(0.224556\pi\)
\(102\) −0.723976 0.529006i −0.0716843 0.0523794i
\(103\) 13.3619i 1.31658i 0.752763 + 0.658292i \(0.228721\pi\)
−0.752763 + 0.658292i \(0.771279\pi\)
\(104\) 2.49898 + 2.59905i 0.245046 + 0.254858i
\(105\) −1.58073 + 1.27297i −0.154264 + 0.124229i
\(106\) 2.46583 + 9.20261i 0.239503 + 0.893837i
\(107\) 1.29666 + 0.748627i 0.125353 + 0.0723725i 0.561365 0.827568i \(-0.310276\pi\)
−0.436012 + 0.899941i \(0.643610\pi\)
\(108\) 2.86540 4.33468i 0.275723 0.417105i
\(109\) −9.35366 + 9.35366i −0.895918 + 0.895918i −0.995072 0.0991537i \(-0.968386\pi\)
0.0991537 + 0.995072i \(0.468386\pi\)
\(110\) −1.46697 + 5.47480i −0.139870 + 0.522001i
\(111\) −16.1760 + 7.14949i −1.53536 + 0.678600i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −14.8503 + 8.57383i −1.39700 + 0.806558i −0.994077 0.108676i \(-0.965339\pi\)
−0.402922 + 0.915234i \(0.632005\pi\)
\(114\) −9.74979 + 1.51711i −0.913151 + 0.142091i
\(115\) −5.75124 + 1.54104i −0.536306 + 0.143703i
\(116\) −2.12122 −0.196951
\(117\) −3.08379 10.3678i −0.285096 0.958499i
\(118\) 1.59173 0.146530
\(119\) 0.500044 0.133986i 0.0458390 0.0122825i
\(120\) 2.00544 0.312056i 0.183071 0.0284867i
\(121\) −10.7361 + 6.19850i −0.976010 + 0.563500i
\(122\) −8.34905 8.34905i −0.755888 0.755888i
\(123\) 10.6059 4.68762i 0.956303 0.422669i
\(124\) 1.50465 5.61541i 0.135121 0.504279i
\(125\) −7.14803 + 7.14803i −0.639339 + 0.639339i
\(126\) 0.911557 + 2.85816i 0.0812079 + 0.254625i
\(127\) 3.84030 + 2.21720i 0.340771 + 0.196744i 0.660613 0.750727i \(-0.270296\pi\)
−0.319842 + 0.947471i \(0.603630\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −0.395476 + 0.318478i −0.0348197 + 0.0280404i
\(130\) 2.18385 3.61670i 0.191536 0.317206i
\(131\) 14.2928i 1.24877i 0.781118 + 0.624384i \(0.214650\pi\)
−0.781118 + 0.624384i \(0.785350\pi\)
\(132\) 6.76456 + 4.94284i 0.588780 + 0.430219i
\(133\) 2.84839 4.93356i 0.246987 0.427794i
\(134\) −5.77994 10.0112i −0.499311 0.864832i
\(135\) −5.77521 1.92858i −0.497051 0.165986i
\(136\) −0.500044 0.133986i −0.0428784 0.0114892i
\(137\) −9.27529 2.48531i −0.792441 0.212334i −0.160178 0.987088i \(-0.551207\pi\)
−0.632263 + 0.774754i \(0.717874\pi\)
\(138\) −0.943701 + 8.75030i −0.0803332 + 0.744875i
\(139\) −7.81211 13.5310i −0.662615 1.14768i −0.979926 0.199361i \(-0.936113\pi\)
0.317312 0.948321i \(-0.397220\pi\)
\(140\) −0.585888 + 1.01479i −0.0495165 + 0.0857652i
\(141\) −12.3485 + 16.8996i −1.03993 + 1.42321i
\(142\) 1.88283i 0.158003i
\(143\) 16.9313 4.18238i 1.41587 0.349748i
\(144\) 0.639647 2.93102i 0.0533039 0.244251i
\(145\) 0.643320 + 2.40090i 0.0534248 + 0.199384i
\(146\) −5.73654 3.31199i −0.474759 0.274102i
\(147\) −1.61532 0.625096i −0.133229 0.0515570i
\(148\) −7.22008 + 7.22008i −0.593487 + 0.593487i
\(149\) −1.69498 + 6.32574i −0.138858 + 0.518225i 0.861094 + 0.508445i \(0.169780\pi\)
−0.999952 + 0.00977946i \(0.996887\pi\)
\(150\) 2.53956 + 5.74585i 0.207354 + 0.469147i
\(151\) −15.6948 15.6948i −1.27722 1.27722i −0.942215 0.335009i \(-0.891260\pi\)
−0.335009 0.942215i \(-0.608740\pi\)
\(152\) −4.93356 + 2.84839i −0.400164 + 0.231035i
\(153\) 1.14849 + 1.04544i 0.0928496 + 0.0845189i
\(154\) −4.67223 + 1.25192i −0.376499 + 0.100883i
\(155\) −6.81212 −0.547163
\(156\) −3.82071 4.93985i −0.305902 0.395505i
\(157\) −16.3039 −1.30119 −0.650597 0.759423i \(-0.725481\pi\)
−0.650597 + 0.759423i \(0.725481\pi\)
\(158\) −2.44659 + 0.655561i −0.194640 + 0.0521537i
\(159\) −2.53721 16.3055i −0.201214 1.29311i
\(160\) 1.01479 0.585888i 0.0802260 0.0463185i
\(161\) −3.59301 3.59301i −0.283169 0.283169i
\(162\) −5.73945 + 6.93244i −0.450934 + 0.544664i
\(163\) −0.906537 + 3.38324i −0.0710055 + 0.264996i −0.992298 0.123874i \(-0.960468\pi\)
0.921292 + 0.388870i \(0.127135\pi\)
\(164\) 4.73391 4.73391i 0.369656 0.369656i
\(165\) 3.54300 9.15551i 0.275822 0.712756i
\(166\) 14.3558 + 8.28832i 1.11423 + 0.643298i
\(167\) −3.88956 14.5160i −0.300983 1.12328i −0.936348 0.351072i \(-0.885817\pi\)
0.635365 0.772212i \(-0.280850\pi\)
\(168\) 1.08636 + 1.34901i 0.0838144 + 0.104078i
\(169\) −12.9900 0.510162i −0.999230 0.0392432i
\(170\) 0.606609i 0.0465248i
\(171\) 17.0715 0.801827i 1.30549 0.0613172i
\(172\) −0.146580 + 0.253885i −0.0111766 + 0.0193585i
\(173\) 2.14061 + 3.70764i 0.162748 + 0.281887i 0.935853 0.352390i \(-0.114631\pi\)
−0.773106 + 0.634277i \(0.781298\pi\)
\(174\) 3.65289 + 0.393956i 0.276925 + 0.0298657i
\(175\) −3.50336 0.938722i −0.264829 0.0709607i
\(176\) 4.67223 + 1.25192i 0.352182 + 0.0943669i
\(177\) −2.74106 0.295617i −0.206031 0.0222200i
\(178\) −1.38673 2.40190i −0.103940 0.180030i
\(179\) −5.33092 + 9.23342i −0.398452 + 0.690138i −0.993535 0.113526i \(-0.963786\pi\)
0.595084 + 0.803664i \(0.297119\pi\)
\(180\) −3.51145 + 0.164928i −0.261728 + 0.0122930i
\(181\) 13.7234i 1.02005i 0.860160 + 0.510025i \(0.170364\pi\)
−0.860160 + 0.510025i \(0.829636\pi\)
\(182\) 3.60486 + 0.0707604i 0.267210 + 0.00524511i
\(183\) 12.8270 + 15.9282i 0.948200 + 1.17745i
\(184\) 1.31513 + 4.90814i 0.0969529 + 0.361833i
\(185\) 10.3617 + 5.98235i 0.761809 + 0.439831i
\(186\) −3.63400 + 9.39066i −0.266458 + 0.688557i
\(187\) −1.77064 + 1.77064i −0.129482 + 0.129482i
\(188\) −3.12762 + 11.6724i −0.228105 + 0.851299i
\(189\) −1.03894 5.09123i −0.0755718 0.370332i
\(190\) 4.72018 + 4.72018i 0.342438 + 0.342438i
\(191\) 15.7595 9.09873i 1.14031 0.658361i 0.193806 0.981040i \(-0.437917\pi\)
0.946509 + 0.322679i \(0.104583\pi\)
\(192\) −0.266310 1.71146i −0.0192193 0.123514i
\(193\) −0.834130 + 0.223505i −0.0600420 + 0.0160882i −0.288715 0.957415i \(-0.593228\pi\)
0.228673 + 0.973503i \(0.426561\pi\)
\(194\) −4.09171 −0.293768
\(195\) −4.43243 + 5.82261i −0.317413 + 0.416966i
\(196\) −1.00000 −0.0714286
\(197\) 20.4357 5.47572i 1.45598 0.390129i 0.557882 0.829920i \(-0.311614\pi\)
0.898100 + 0.439791i \(0.144948\pi\)
\(198\) −10.7310 9.76821i −0.762621 0.694196i
\(199\) 1.32932 0.767481i 0.0942327 0.0544053i −0.452143 0.891945i \(-0.649340\pi\)
0.546376 + 0.837540i \(0.316007\pi\)
\(200\) 2.56464 + 2.56464i 0.181347 + 0.181347i
\(201\) 8.09416 + 18.3133i 0.570918 + 1.29172i
\(202\) 0.940885 3.51143i 0.0662004 0.247063i
\(203\) −1.49993 + 1.49993i −0.105275 + 0.105275i
\(204\) 0.836224 + 0.323602i 0.0585474 + 0.0226567i
\(205\) −6.79375 3.92237i −0.474496 0.273951i
\(206\) −3.45830 12.9066i −0.240951 0.899243i
\(207\) 3.25023 14.8933i 0.225907 1.03516i
\(208\) −3.08652 1.86371i −0.214011 0.129225i
\(209\) 27.5556i 1.90606i
\(210\) 1.19740 1.63872i 0.0826287 0.113082i
\(211\) 5.09230 8.82012i 0.350568 0.607202i −0.635781 0.771870i \(-0.719322\pi\)
0.986349 + 0.164668i \(0.0526551\pi\)
\(212\) −4.76362 8.25084i −0.327167 0.566670i
\(213\) −0.349681 + 3.24235i −0.0239597 + 0.222162i
\(214\) −1.44624 0.387518i −0.0988626 0.0264902i
\(215\) 0.331813 + 0.0889091i 0.0226295 + 0.00606355i
\(216\) −1.64587 + 4.92860i −0.111987 + 0.335349i
\(217\) −2.90675 5.03464i −0.197323 0.341774i
\(218\) 6.61404 11.4559i 0.447959 0.775888i
\(219\) 9.26359 + 6.76886i 0.625975 + 0.457397i
\(220\) 5.66793i 0.382132i
\(221\) 1.63447 0.901364i 0.109946 0.0606323i
\(222\) 13.7744 11.0925i 0.924475 0.744482i
\(223\) 0.508845 + 1.89903i 0.0340748 + 0.127169i 0.980868 0.194673i \(-0.0623647\pi\)
−0.946793 + 0.321842i \(0.895698\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) −3.30617 10.3664i −0.220411 0.691092i
\(226\) 12.1252 12.1252i 0.806558 0.806558i
\(227\) 1.32281 4.93680i 0.0877981 0.327667i −0.908031 0.418903i \(-0.862415\pi\)
0.995829 + 0.0912354i \(0.0290816\pi\)
\(228\) 9.02491 3.98885i 0.597689 0.264168i
\(229\) 2.40035 + 2.40035i 0.158620 + 0.158620i 0.781955 0.623335i \(-0.214223\pi\)
−0.623335 + 0.781955i \(0.714223\pi\)
\(230\) 5.15642 2.97706i 0.340004 0.196302i
\(231\) 8.27838 1.28816i 0.544678 0.0847544i
\(232\) 2.04895 0.549013i 0.134520 0.0360445i
\(233\) 8.54899 0.560063 0.280032 0.959991i \(-0.409655\pi\)
0.280032 + 0.959991i \(0.409655\pi\)
\(234\) 5.66208 + 9.21633i 0.370142 + 0.602491i
\(235\) 14.1600 0.923693
\(236\) −1.53749 + 0.411970i −0.100082 + 0.0268169i
\(237\) 4.33494 0.674536i 0.281584 0.0438158i
\(238\) −0.448327 + 0.258842i −0.0290607 + 0.0167782i
\(239\) −20.0754 20.0754i −1.29857 1.29857i −0.929338 0.369230i \(-0.879622\pi\)
−0.369230 0.929338i \(-0.620378\pi\)
\(240\) −1.85634 + 0.820469i −0.119826 + 0.0529611i
\(241\) −5.75665 + 21.4841i −0.370818 + 1.38391i 0.488542 + 0.872541i \(0.337529\pi\)
−0.859360 + 0.511371i \(0.829138\pi\)
\(242\) 8.76600 8.76600i 0.563500 0.563500i
\(243\) 11.1712 10.8722i 0.716633 0.697451i
\(244\) 10.2255 + 5.90367i 0.654618 + 0.377944i
\(245\) 0.303278 + 1.13185i 0.0193757 + 0.0723111i
\(246\) −9.03128 + 7.27291i −0.575814 + 0.463704i
\(247\) 5.70450 19.7320i 0.362969 1.25552i
\(248\) 5.81351i 0.369158i
\(249\) −23.1823 16.9392i −1.46912 1.07348i
\(250\) 5.05442 8.75451i 0.319670 0.553684i
\(251\) 8.15438 + 14.1238i 0.514700 + 0.891487i 0.999854 + 0.0170582i \(0.00543006\pi\)
−0.485154 + 0.874429i \(0.661237\pi\)
\(252\) −1.62024 2.52484i −0.102066 0.159050i
\(253\) 23.7409 + 6.36136i 1.49258 + 0.399935i
\(254\) −4.28330 1.14771i −0.268758 0.0720135i
\(255\) 0.112660 1.04462i 0.00705504 0.0654166i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −1.49782 + 2.59430i −0.0934315 + 0.161828i −0.908953 0.416899i \(-0.863117\pi\)
0.815521 + 0.578727i \(0.196450\pi\)
\(258\) 0.299573 0.409983i 0.0186506 0.0255244i
\(259\) 10.2107i 0.634465i
\(260\) −1.17336 + 4.05869i −0.0727689 + 0.251709i
\(261\) −6.21734 1.35684i −0.384844 0.0839860i
\(262\) −3.69925 13.8058i −0.228540 0.852924i
\(263\) 3.52497 + 2.03514i 0.217359 + 0.125492i 0.604727 0.796433i \(-0.293282\pi\)
−0.387368 + 0.921925i \(0.626616\pi\)
\(264\) −7.81337 3.02362i −0.480880 0.186091i
\(265\) −7.89399 + 7.89399i −0.484924 + 0.484924i
\(266\) −1.47444 + 5.50267i −0.0904034 + 0.337390i
\(267\) 1.94197 + 4.39377i 0.118846 + 0.268894i
\(268\) 8.17407 + 8.17407i 0.499311 + 0.499311i
\(269\) −2.68484 + 1.55010i −0.163698 + 0.0945110i −0.579611 0.814893i \(-0.696795\pi\)
0.415913 + 0.909404i \(0.363462\pi\)
\(270\) 6.07758 + 0.368134i 0.369870 + 0.0224039i
\(271\) 14.8204 3.97111i 0.900275 0.241228i 0.221140 0.975242i \(-0.429022\pi\)
0.679134 + 0.734014i \(0.262355\pi\)
\(272\) 0.517684 0.0313892
\(273\) −6.19466 0.791352i −0.374918 0.0478948i
\(274\) 9.60248 0.580107
\(275\) 16.9459 4.54064i 1.02188 0.273811i
\(276\) −1.35320 8.69639i −0.0814530 0.523461i
\(277\) −1.05278 + 0.607822i −0.0632553 + 0.0365205i −0.531294 0.847187i \(-0.678294\pi\)
0.468039 + 0.883708i \(0.344961\pi\)
\(278\) 11.0480 + 11.0480i 0.662615 + 0.662615i
\(279\) 8.00202 15.4964i 0.479069 0.927747i
\(280\) 0.303278 1.13185i 0.0181243 0.0676408i
\(281\) 1.81570 1.81570i 0.108316 0.108316i −0.650872 0.759188i \(-0.725597\pi\)
0.759188 + 0.650872i \(0.225597\pi\)
\(282\) 7.55378 19.5198i 0.449821 1.16239i
\(283\) −8.30363 4.79410i −0.493600 0.284980i 0.232467 0.972604i \(-0.425320\pi\)
−0.726067 + 0.687624i \(0.758654\pi\)
\(284\) 0.487312 + 1.81867i 0.0289166 + 0.107918i
\(285\) −7.25182 9.00510i −0.429561 0.533416i
\(286\) −15.2719 + 8.42201i −0.903046 + 0.498004i
\(287\) 6.69476i 0.395179i
\(288\) 0.140751 + 2.99670i 0.00829382 + 0.176582i
\(289\) 8.36600 14.4903i 0.492118 0.852373i
\(290\) −1.24280 2.15259i −0.0729797 0.126405i
\(291\) 7.04619 + 0.759917i 0.413055 + 0.0445471i
\(292\) 6.39828 + 1.71441i 0.374431 + 0.100328i
\(293\) 20.3586 + 5.45507i 1.18936 + 0.318689i 0.798634 0.601817i \(-0.205556\pi\)
0.390729 + 0.920506i \(0.372223\pi\)
\(294\) 1.72206 + 0.185721i 0.100433 + 0.0108315i
\(295\) 0.932574 + 1.61527i 0.0542966 + 0.0940444i
\(296\) 5.10537 8.84276i 0.296744 0.513975i
\(297\) 16.6654 + 18.8145i 0.967023 + 1.09173i
\(298\) 6.54889i 0.379367i
\(299\) −15.6835 9.47003i −0.906998 0.547666i
\(300\) −3.94016 4.89278i −0.227485 0.282485i
\(301\) 0.0758756 + 0.283171i 0.00437339 + 0.0163217i
\(302\) 19.2221 + 11.0979i 1.10611 + 0.638612i
\(303\) −2.27241 + 5.87217i −0.130547 + 0.337347i
\(304\) 4.02823 4.02823i 0.231035 0.231035i
\(305\) 3.58090 13.3641i 0.205042 0.765227i
\(306\) −1.37993 0.712568i −0.0788855 0.0407348i
\(307\) −1.05726 1.05726i −0.0603413 0.0603413i 0.676292 0.736633i \(-0.263586\pi\)
−0.736633 + 0.676292i \(0.763586\pi\)
\(308\) 4.18900 2.41852i 0.238691 0.137808i
\(309\) 3.55840 + 22.8682i 0.202430 + 1.30093i
\(310\) 6.58000 1.76311i 0.373719 0.100138i
\(311\) 6.32744 0.358796 0.179398 0.983777i \(-0.442585\pi\)
0.179398 + 0.983777i \(0.442585\pi\)
\(312\) 4.96905 + 3.78266i 0.281317 + 0.214151i
\(313\) −26.7529 −1.51216 −0.756081 0.654478i \(-0.772888\pi\)
−0.756081 + 0.654478i \(0.772888\pi\)
\(314\) 15.7484 4.21977i 0.888733 0.238135i
\(315\) −2.36635 + 2.59960i −0.133329 + 0.146471i
\(316\) 2.19355 1.26645i 0.123397 0.0712432i
\(317\) −13.6159 13.6159i −0.764748 0.764748i 0.212429 0.977177i \(-0.431863\pi\)
−0.977177 + 0.212429i \(0.931863\pi\)
\(318\) 6.67092 + 15.0932i 0.374086 + 0.846384i
\(319\) 2.65560 9.91084i 0.148685 0.554900i
\(320\) −0.828570 + 0.828570i −0.0463185 + 0.0463185i
\(321\) 2.41854 + 0.935927i 0.134990 + 0.0522383i
\(322\) 4.40052 + 2.54064i 0.245231 + 0.141584i
\(323\) 0.763291 + 2.84864i 0.0424707 + 0.158503i
\(324\) 3.74963 8.18170i 0.208313 0.454539i
\(325\) −13.0746 0.256644i −0.725249 0.0142360i
\(326\) 3.50259i 0.193991i
\(327\) −13.5174 + 18.4994i −0.747514 + 1.02302i
\(328\) −3.34738 + 5.79783i −0.184828 + 0.320132i
\(329\) 6.04209 + 10.4652i 0.333111 + 0.576966i
\(330\) −1.05265 + 9.76054i −0.0579467 + 0.537300i
\(331\) −9.03418 2.42070i −0.496564 0.133054i 0.00184113 0.999998i \(-0.499414\pi\)
−0.498405 + 0.866945i \(0.666081\pi\)
\(332\) −16.0118 4.29035i −0.878762 0.235464i
\(333\) −25.7805 + 16.5439i −1.41276 + 0.906598i
\(334\) 7.51405 + 13.0147i 0.411151 + 0.712134i
\(335\) 6.77279 11.7308i 0.370037 0.640923i
\(336\) −1.39849 1.02187i −0.0762940 0.0557477i
\(337\) 4.47748i 0.243904i 0.992536 + 0.121952i \(0.0389154\pi\)
−0.992536 + 0.121952i \(0.961085\pi\)
\(338\) 12.6794 2.86928i 0.689669 0.156068i
\(339\) −23.1323 + 18.6285i −1.25638 + 1.01176i
\(340\) −0.157002 0.585939i −0.00851462 0.0317770i
\(341\) 24.3528 + 14.0601i 1.31878 + 0.761396i
\(342\) −16.2823 + 5.19294i −0.880446 + 0.280802i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 0.0758756 0.283171i 0.00409094 0.0152676i
\(345\) −9.43259 + 4.16904i −0.507834 + 0.224453i
\(346\) −3.02728 3.02728i −0.162748 0.162748i
\(347\) 19.0489 10.9979i 1.02260 0.590398i 0.107743 0.994179i \(-0.465637\pi\)
0.914856 + 0.403781i \(0.132304\pi\)
\(348\) −3.63038 + 0.564904i −0.194609 + 0.0302821i
\(349\) 34.1495 9.15032i 1.82798 0.489805i 0.830263 0.557371i \(-0.188190\pi\)
0.997715 + 0.0675659i \(0.0215233\pi\)
\(350\) 3.62694 0.193868
\(351\) −8.03881 16.9227i −0.429080 0.903267i
\(352\) −4.83704 −0.257815
\(353\) −2.94177 + 0.788246i −0.156575 + 0.0419541i −0.336255 0.941771i \(-0.609160\pi\)
0.179680 + 0.983725i \(0.442494\pi\)
\(354\) 2.72417 0.423894i 0.144788 0.0225297i
\(355\) 1.91067 1.10313i 0.101408 0.0585478i
\(356\) 1.96114 + 1.96114i 0.103940 + 0.103940i
\(357\) 0.820121 0.362479i 0.0434054 0.0191844i
\(358\) 2.75949 10.2985i 0.145843 0.544295i
\(359\) −8.69884 + 8.69884i −0.459107 + 0.459107i −0.898362 0.439255i \(-0.855242\pi\)
0.439255 + 0.898362i \(0.355242\pi\)
\(360\) 3.34912 1.06814i 0.176514 0.0562959i
\(361\) 11.6509 + 6.72666i 0.613206 + 0.354035i
\(362\) −3.55187 13.2558i −0.186682 0.696707i
\(363\) −16.7236 + 13.4676i −0.877764 + 0.706865i
\(364\) −3.50034 + 0.864656i −0.183468 + 0.0453203i
\(365\) 7.76182i 0.406272i
\(366\) −16.5125 12.0656i −0.863120 0.630678i
\(367\) 7.85537 13.6059i 0.410047 0.710222i −0.584847 0.811143i \(-0.698846\pi\)
0.994894 + 0.100921i \(0.0321789\pi\)
\(368\) −2.54064 4.40052i −0.132440 0.229393i
\(369\) 16.9032 10.8471i 0.879945 0.564679i
\(370\) −11.5570 3.09669i −0.600820 0.160989i
\(371\) −9.20261 2.46583i −0.477776 0.128020i
\(372\) 1.07969 10.0112i 0.0559793 0.519058i
\(373\) −1.05627 1.82952i −0.0546918 0.0947290i 0.837383 0.546616i \(-0.184084\pi\)
−0.892075 + 0.451887i \(0.850751\pi\)
\(374\) 1.25203 2.16858i 0.0647409 0.112135i
\(375\) −10.3299 + 14.1371i −0.533435 + 0.730038i
\(376\) 12.0842i 0.623194i
\(377\) −3.95334 + 6.54720i −0.203608 + 0.337198i
\(378\) 2.32125 + 4.64885i 0.119392 + 0.239111i
\(379\) −8.89975 33.2143i −0.457150 1.70611i −0.681690 0.731641i \(-0.738755\pi\)
0.224540 0.974465i \(-0.427912\pi\)
\(380\) −5.78102 3.33767i −0.296560 0.171219i
\(381\) 7.16296 + 2.77192i 0.366970 + 0.142010i
\(382\) −12.8675 + 12.8675i −0.658361 + 0.658361i
\(383\) −7.20127 + 26.8755i −0.367968 + 1.37327i 0.495385 + 0.868673i \(0.335027\pi\)
−0.863353 + 0.504600i \(0.831640\pi\)
\(384\) 0.700193 + 1.58421i 0.0357316 + 0.0808440i
\(385\) −4.00783 4.00783i −0.204258 0.204258i
\(386\) 0.747861 0.431778i 0.0380651 0.0219769i
\(387\) −0.592026 + 0.650380i −0.0300944 + 0.0330607i
\(388\) 3.95229 1.05901i 0.200647 0.0537632i
\(389\) −16.0139 −0.811938 −0.405969 0.913887i \(-0.633066\pi\)
−0.405969 + 0.913887i \(0.633066\pi\)
\(390\) 2.77439 6.77141i 0.140487 0.342884i
\(391\) 2.63050 0.133030
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 3.80632 + 24.4615i 0.192004 + 1.23392i
\(394\) −18.3221 + 10.5783i −0.923056 + 0.532926i
\(395\) −2.09868 2.09868i −0.105596 0.105596i
\(396\) 12.8936 + 6.65797i 0.647927 + 0.334576i
\(397\) −3.61458 + 13.4898i −0.181411 + 0.677034i 0.813960 + 0.580921i \(0.197308\pi\)
−0.995370 + 0.0961128i \(0.969359\pi\)
\(398\) −1.08538 + 1.08538i −0.0544053 + 0.0544053i
\(399\) 3.56103 9.20212i 0.178275 0.460682i
\(400\) −3.14102 1.81347i −0.157051 0.0906736i
\(401\) 6.69859 + 24.9995i 0.334512 + 1.24841i 0.904398 + 0.426691i \(0.140321\pi\)
−0.569886 + 0.821724i \(0.693013\pi\)
\(402\) −12.5582 15.5944i −0.626346 0.777777i
\(403\) −14.5279 15.1096i −0.723684 0.752663i
\(404\) 3.63530i 0.180863i
\(405\) −10.3976 1.76268i −0.516662 0.0875885i
\(406\) 1.06061 1.83703i 0.0526373 0.0911705i
\(407\) −24.6949 42.7728i −1.22408 2.12017i
\(408\) −0.891485 0.0961447i −0.0441351 0.00475987i
\(409\) 7.28579 + 1.95222i 0.360259 + 0.0965311i 0.434408 0.900716i \(-0.356958\pi\)
−0.0741494 + 0.997247i \(0.523624\pi\)
\(410\) 7.57745 + 2.03037i 0.374223 + 0.100273i
\(411\) −16.5361 1.78338i −0.815666 0.0879678i
\(412\) 6.68093 + 11.5717i 0.329146 + 0.570097i
\(413\) −0.795864 + 1.37848i −0.0391619 + 0.0678304i
\(414\) 0.715195 + 15.2271i 0.0351499 + 0.748369i
\(415\) 19.4241i 0.953491i
\(416\) 3.46371 + 1.00135i 0.169822 + 0.0490955i
\(417\) −16.9735 21.0772i −0.831197 1.03216i
\(418\) −7.13191 26.6166i −0.348833 1.30186i
\(419\) 14.3943 + 8.31054i 0.703206 + 0.405996i 0.808541 0.588440i \(-0.200258\pi\)
−0.105334 + 0.994437i \(0.533591\pi\)
\(420\) −0.732472 + 1.89279i −0.0357410 + 0.0923587i
\(421\) −8.80780 + 8.80780i −0.429266 + 0.429266i −0.888378 0.459112i \(-0.848168\pi\)
0.459112 + 0.888378i \(0.348168\pi\)
\(422\) −2.63597 + 9.83757i −0.128317 + 0.478885i
\(423\) −16.6333 + 32.2115i −0.808740 + 1.56618i
\(424\) 6.73678 + 6.73678i 0.327167 + 0.327167i
\(425\) 1.62606 0.938805i 0.0788754 0.0455387i
\(426\) −0.501417 3.22237i −0.0242937 0.156125i
\(427\) 11.4050 3.05596i 0.551927 0.147888i
\(428\) 1.49725 0.0723725
\(429\) 27.8633 11.6669i 1.34525 0.563285i
\(430\) −0.343518 −0.0165659
\(431\) 18.4277 4.93767i 0.887629 0.237839i 0.213933 0.976848i \(-0.431373\pi\)
0.673696 + 0.739009i \(0.264706\pi\)
\(432\) 0.314167 5.18665i 0.0151154 0.249543i
\(433\) −17.4264 + 10.0611i −0.837458 + 0.483507i −0.856399 0.516314i \(-0.827304\pi\)
0.0189413 + 0.999821i \(0.493970\pi\)
\(434\) 4.11077 + 4.11077i 0.197323 + 0.197323i
\(435\) 1.74040 + 3.93772i 0.0834458 + 0.188799i
\(436\) −3.42368 + 12.7773i −0.163964 + 0.611924i
\(437\) 20.4686 20.4686i 0.979146 0.979146i
\(438\) −10.6998 4.14063i −0.511258 0.197847i
\(439\) 22.2565 + 12.8498i 1.06225 + 0.613288i 0.926052 0.377395i \(-0.123180\pi\)
0.136193 + 0.990682i \(0.456513\pi\)
\(440\) 1.46697 + 5.47480i 0.0699349 + 0.261001i
\(441\) −2.93102 0.639647i −0.139572 0.0304594i
\(442\) −1.34549 + 1.29368i −0.0639983 + 0.0615342i
\(443\) 0.0356586i 0.00169419i −1.00000 0.000847095i \(-0.999730\pi\)
1.00000 0.000847095i \(-0.000269639\pi\)
\(444\) −10.4341 + 14.2796i −0.495179 + 0.677681i
\(445\) 1.62494 2.81448i 0.0770296 0.133419i
\(446\) −0.983012 1.70263i −0.0465470 0.0806217i
\(447\) −1.21627 + 11.2776i −0.0575274 + 0.533413i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −26.1123 6.99677i −1.23231 0.330198i −0.416834 0.908982i \(-0.636861\pi\)
−0.815480 + 0.578785i \(0.803527\pi\)
\(450\) 5.87653 + 9.15745i 0.277022 + 0.431686i
\(451\) 16.1914 + 28.0444i 0.762424 + 1.32056i
\(452\) −8.57383 + 14.8503i −0.403279 + 0.698500i
\(453\) −31.0406 22.6812i −1.45842 1.06566i
\(454\) 5.11095i 0.239869i
\(455\) 2.04023 + 3.69962i 0.0956477 + 0.173441i
\(456\) −7.68501 + 6.18875i −0.359883 + 0.289815i
\(457\) −8.04660 30.0303i −0.376404 1.40476i −0.851282 0.524708i \(-0.824174\pi\)
0.474878 0.880052i \(-0.342492\pi\)
\(458\) −2.93982 1.69731i −0.137369 0.0793099i
\(459\) 2.24399 + 1.48337i 0.104741 + 0.0692378i
\(460\) −4.21020 + 4.21020i −0.196302 + 0.196302i
\(461\) −4.89115 + 18.2540i −0.227804 + 0.850174i 0.753458 + 0.657496i \(0.228384\pi\)
−0.981262 + 0.192679i \(0.938282\pi\)
\(462\) −7.66290 + 3.38687i −0.356511 + 0.157571i
\(463\) 0.959289 + 0.959289i 0.0445819 + 0.0445819i 0.729046 0.684464i \(-0.239964\pi\)
−0.684464 + 0.729046i \(0.739964\pi\)
\(464\) −1.83703 + 1.06061i −0.0852822 + 0.0492377i
\(465\) −11.6586 + 1.81414i −0.540656 + 0.0841287i
\(466\) −8.25769 + 2.21264i −0.382530 + 0.102499i
\(467\) 28.3194 1.31046 0.655232 0.755428i \(-0.272571\pi\)
0.655232 + 0.755428i \(0.272571\pi\)
\(468\) −7.85451 7.43684i −0.363075 0.343768i
\(469\) 11.5599 0.533786
\(470\) −13.6775 + 3.66487i −0.630894 + 0.169048i
\(471\) −27.9034 + 4.34191i −1.28572 + 0.200064i
\(472\) 1.37848 0.795864i 0.0634496 0.0366326i
\(473\) −1.00270 1.00270i −0.0461042 0.0461042i
\(474\) −4.01264 + 1.77352i −0.184307 + 0.0814603i
\(475\) 5.34769 19.9579i 0.245369 0.915730i
\(476\) 0.366058 0.366058i 0.0167782 0.0167782i
\(477\) −8.68463 27.2304i −0.397642 1.24679i
\(478\) 24.5872 + 14.1954i 1.12459 + 0.649284i
\(479\) −5.48863 20.4838i −0.250782 0.935930i −0.970389 0.241549i \(-0.922345\pi\)
0.719607 0.694382i \(-0.244322\pi\)
\(480\) 1.58073 1.27297i 0.0721503 0.0581028i
\(481\) 8.82878 + 35.7410i 0.402558 + 1.62965i
\(482\) 22.2420i 1.01309i
\(483\) −7.10613 5.19242i −0.323340 0.236263i
\(484\) −6.19850 + 10.7361i −0.281750 + 0.488005i
\(485\) −2.39728 4.15222i −0.108855 0.188542i
\(486\) −7.97662 + 13.3930i −0.361827 + 0.607521i
\(487\) 25.2906 + 6.77660i 1.14603 + 0.307077i 0.781372 0.624066i \(-0.214520\pi\)
0.364655 + 0.931143i \(0.381187\pi\)
\(488\) −11.4050 3.05596i −0.516281 0.138337i
\(489\) −0.650505 + 6.03169i −0.0294168 + 0.272762i
\(490\) −0.585888 1.01479i −0.0264677 0.0458434i
\(491\) 5.30462 9.18788i 0.239394 0.414643i −0.721146 0.692783i \(-0.756384\pi\)
0.960541 + 0.278140i \(0.0897178\pi\)
\(492\) 6.84118 9.36256i 0.308424 0.422097i
\(493\) 1.09812i 0.0494570i
\(494\) −0.403106 + 20.5361i −0.0181366 + 0.923962i
\(495\) 3.62547 16.6128i 0.162953 0.746689i
\(496\) −1.50465 5.61541i −0.0675606 0.252140i
\(497\) 1.63058 + 0.941414i 0.0731413 + 0.0422282i
\(498\) 26.7766 + 10.3620i 1.19989 + 0.464332i
\(499\) −23.7488 + 23.7488i −1.06314 + 1.06314i −0.0652762 + 0.997867i \(0.520793\pi\)
−0.997867 + 0.0652762i \(0.979207\pi\)
\(500\) −2.61636 + 9.76439i −0.117007 + 0.436677i
\(501\) −10.5226 23.8077i −0.470114 1.06365i
\(502\) −11.5320 11.5320i −0.514700 0.514700i
\(503\) −10.3733 + 5.98900i −0.462520 + 0.267036i −0.713103 0.701059i \(-0.752711\pi\)
0.250583 + 0.968095i \(0.419378\pi\)
\(504\) 2.21851 + 2.01946i 0.0988203 + 0.0899538i
\(505\) 4.11461 1.10251i 0.183098 0.0490609i
\(506\) −24.5784 −1.09264
\(507\) −22.3676 + 2.58625i −0.993382 + 0.114859i
\(508\) 4.43439 0.196744
\(509\) 3.78952 1.01540i 0.167967 0.0450067i −0.173855 0.984771i \(-0.555622\pi\)
0.341823 + 0.939764i \(0.388956\pi\)
\(510\) 0.161546 + 1.03818i 0.00715339 + 0.0459715i
\(511\) 5.73654 3.31199i 0.253770 0.146514i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 29.0036 5.91862i 1.28054 0.261313i
\(514\) 0.775329 2.89357i 0.0341983 0.127630i
\(515\) 11.0712 11.0712i 0.487857 0.487857i
\(516\) −0.183254 + 0.473548i −0.00806729 + 0.0208468i
\(517\) −50.6207 29.2259i −2.22630 1.28535i
\(518\) −2.64273 9.86282i −0.116115 0.433347i
\(519\) 4.65094 + 5.77540i 0.204154 + 0.253512i
\(520\) 0.0829152 4.22408i 0.00363607 0.185238i
\(521\) 0.453994i 0.0198899i 0.999951 + 0.00994493i \(0.00316562\pi\)
−0.999951 + 0.00994493i \(0.996834\pi\)
\(522\) 6.35667 0.298564i 0.278224 0.0130678i
\(523\) 3.82939 6.63269i 0.167447 0.290027i −0.770074 0.637954i \(-0.779781\pi\)
0.937522 + 0.347927i \(0.113114\pi\)
\(524\) 7.14640 + 12.3779i 0.312192 + 0.540732i
\(525\) −6.24583 0.673600i −0.272590 0.0293983i
\(526\) −3.93159 1.05347i −0.171425 0.0459333i
\(527\) 2.90701 + 0.778931i 0.126631 + 0.0339307i
\(528\) 8.32970 + 0.898341i 0.362504 + 0.0390953i
\(529\) −1.40972 2.44171i −0.0612922 0.106161i
\(530\) 5.58190 9.66813i 0.242462 0.419957i
\(531\) −4.76993 + 0.224037i −0.206997 + 0.00972238i
\(532\) 5.69678i 0.246987i
\(533\) −5.78866 23.4339i −0.250735 1.01504i
\(534\) −3.01298 3.74143i −0.130385 0.161908i
\(535\) −0.454083 1.69466i −0.0196317 0.0732667i
\(536\) −10.0112 5.77994i −0.432416 0.249656i
\(537\) −6.66467 + 17.2223i −0.287602 + 0.743196i
\(538\) 2.19217 2.19217i 0.0945110 0.0945110i
\(539\) 1.25192 4.67223i 0.0539240 0.201247i
\(540\) −5.96577 + 1.21740i −0.256726 + 0.0523887i
\(541\) 13.2203 + 13.2203i 0.568384 + 0.568384i 0.931676 0.363291i \(-0.118347\pi\)
−0.363291 + 0.931676i \(0.618347\pi\)
\(542\) −13.2876 + 7.67160i −0.570751 + 0.329523i
\(543\) 3.65468 + 23.4869i 0.156837 + 1.00792i
\(544\) −0.500044 + 0.133986i −0.0214392 + 0.00574462i
\(545\) 15.5003 0.663961
\(546\) 6.18840 0.838908i 0.264839 0.0359019i
\(547\) −12.2763 −0.524896 −0.262448 0.964946i \(-0.584530\pi\)
−0.262448 + 0.964946i \(0.584530\pi\)
\(548\) −9.27529 + 2.48531i −0.396221 + 0.106167i
\(549\) 26.1947 + 23.8444i 1.11796 + 1.01766i
\(550\) −15.1933 + 8.77184i −0.647843 + 0.374033i
\(551\) −8.54479 8.54479i −0.364020 0.364020i
\(552\) 3.55788 + 8.04983i 0.151433 + 0.342624i
\(553\) 0.655561 2.44659i 0.0278773 0.104040i
\(554\) 0.859590 0.859590i 0.0365205 0.0365205i
\(555\) 19.3268 + 7.47908i 0.820377 + 0.317469i
\(556\) −13.5310 7.81211i −0.573841 0.331307i
\(557\) −7.35055 27.4326i −0.311453 1.16236i −0.927247 0.374450i \(-0.877831\pi\)
0.615794 0.787907i \(-0.288835\pi\)
\(558\) −3.71859 + 17.0395i −0.157421 + 0.721338i
\(559\) 0.510436 + 0.925590i 0.0215891 + 0.0391483i
\(560\) 1.17178i 0.0495165i
\(561\) −2.55883 + 3.50190i −0.108034 + 0.147851i
\(562\) −1.28389 + 2.22377i −0.0541578 + 0.0938041i
\(563\) −4.58399 7.93971i −0.193192 0.334619i 0.753114 0.657890i \(-0.228551\pi\)
−0.946306 + 0.323271i \(0.895217\pi\)
\(564\) −2.24429 + 20.8098i −0.0945016 + 0.876249i
\(565\) 19.4085 + 5.20050i 0.816523 + 0.218787i
\(566\) 9.26150 + 2.48161i 0.389290 + 0.104310i
\(567\) −3.13395 8.43673i −0.131613 0.354309i
\(568\) −0.941414 1.63058i −0.0395008 0.0684175i
\(569\) −9.38211 + 16.2503i −0.393319 + 0.681248i −0.992885 0.119077i \(-0.962006\pi\)
0.599566 + 0.800325i \(0.295340\pi\)
\(570\) 9.33542 + 6.82135i 0.391018 + 0.285715i
\(571\) 40.4283i 1.69187i 0.533285 + 0.845936i \(0.320957\pi\)
−0.533285 + 0.845936i \(0.679043\pi\)
\(572\) 12.5717 12.0877i 0.525651 0.505412i
\(573\) 24.5485 19.7690i 1.02553 0.825861i
\(574\) 1.73273 + 6.46664i 0.0723228 + 0.269912i
\(575\) −15.9604 9.21476i −0.665596 0.384282i
\(576\) −0.911557 2.85816i −0.0379815 0.119090i
\(577\) 19.6981 19.6981i 0.820041 0.820041i −0.166073 0.986114i \(-0.553109\pi\)
0.986114 + 0.166073i \(0.0531086\pi\)
\(578\) −4.33056 + 16.1619i −0.180128 + 0.672245i
\(579\) −1.36805 + 0.604656i −0.0568544 + 0.0251286i
\(580\) 1.75758 + 1.75758i 0.0729797 + 0.0729797i
\(581\) −14.3558 + 8.28832i −0.595579 + 0.343857i
\(582\) −7.00278 + 1.08967i −0.290275 + 0.0451681i
\(583\) 44.5134 11.9273i 1.84356 0.493980i
\(584\) −6.62398 −0.274102
\(585\) −6.03527 + 11.1455i −0.249528 + 0.460811i
\(586\) −21.0768 −0.870674
\(587\) 6.77509 1.81538i 0.279638 0.0749288i −0.116274 0.993217i \(-0.537095\pi\)
0.395912 + 0.918288i \(0.370428\pi\)
\(588\) −1.71146 + 0.266310i −0.0705792 + 0.0109825i
\(589\) 28.6813 16.5591i 1.18179 0.682307i
\(590\) −1.31886 1.31886i −0.0542966 0.0542966i
\(591\) 33.5165 14.8137i 1.37869 0.609354i
\(592\) −2.64273 + 9.86282i −0.108616 + 0.405359i
\(593\) 11.2191 11.2191i 0.460714 0.460714i −0.438175 0.898890i \(-0.644375\pi\)
0.898890 + 0.438175i \(0.144375\pi\)
\(594\) −20.9671 13.8601i −0.860289 0.568685i
\(595\) −0.525339 0.303304i −0.0215368 0.0124343i
\(596\) 1.69498 + 6.32574i 0.0694290 + 0.259112i
\(597\) 2.07068 1.66752i 0.0847471 0.0682470i
\(598\) 17.6001 + 5.08817i 0.719721 + 0.208071i
\(599\) 40.3004i 1.64663i 0.567586 + 0.823314i \(0.307877\pi\)
−0.567586 + 0.823314i \(0.692123\pi\)
\(600\) 5.07225 + 3.70627i 0.207074 + 0.151308i
\(601\) −6.18901 + 10.7197i −0.252455 + 0.437265i −0.964201 0.265172i \(-0.914571\pi\)
0.711746 + 0.702437i \(0.247905\pi\)
\(602\) −0.146580 0.253885i −0.00597417 0.0103476i
\(603\) 18.7298 + 29.1869i 0.762737 + 1.18858i
\(604\) −21.4395 5.74469i −0.872360 0.233748i
\(605\) 14.0315 + 3.75973i 0.570462 + 0.152855i
\(606\) 0.675152 6.26022i 0.0274262 0.254304i
\(607\) −19.4537 33.6949i −0.789603 1.36763i −0.926210 0.377007i \(-0.876953\pi\)
0.136607 0.990625i \(-0.456380\pi\)
\(608\) −2.84839 + 4.93356i −0.115517 + 0.200082i
\(609\) −2.16762 + 2.96651i −0.0878364 + 0.120209i
\(610\) 13.8355i 0.560185i
\(611\) 30.1982 + 31.4075i 1.22169 + 1.27061i
\(612\) 1.51734 + 0.331135i 0.0613348 + 0.0133853i
\(613\) 11.8801 + 44.3370i 0.479831 + 1.79075i 0.602286 + 0.798280i \(0.294257\pi\)
−0.122455 + 0.992474i \(0.539077\pi\)
\(614\) 1.29488 + 0.747599i 0.0522571 + 0.0301706i
\(615\) −12.6718 4.90372i −0.510975 0.197737i
\(616\) −3.42031 + 3.42031i −0.137808 + 0.137808i
\(617\) 11.9499 44.5976i 0.481084 1.79543i −0.115996 0.993250i \(-0.537006\pi\)
0.597081 0.802181i \(-0.296327\pi\)
\(618\) −9.35588 21.1680i −0.376349 0.851503i
\(619\) 27.7189 + 27.7189i 1.11412 + 1.11412i 0.992588 + 0.121530i \(0.0387802\pi\)
0.121530 + 0.992588i \(0.461220\pi\)
\(620\) −5.89947 + 3.40606i −0.236928 + 0.136791i
\(621\) 1.59637 26.3548i 0.0640603 1.05758i
\(622\) −6.11184 + 1.63766i −0.245062 + 0.0656643i
\(623\) 2.77347 0.111117
\(624\) −5.77876 2.36768i −0.231336 0.0947831i
\(625\) −6.28943 −0.251577
\(626\) 25.8413 6.92415i 1.03283 0.276745i
\(627\) 7.33834 + 47.1601i 0.293065 + 1.88339i
\(628\) −14.1196 + 8.15196i −0.563434 + 0.325299i
\(629\) −3.73772 3.73772i −0.149033 0.149033i
\(630\) 1.61290 3.12347i 0.0642593 0.124442i
\(631\) 10.3812 38.7430i 0.413267 1.54233i −0.375014 0.927019i \(-0.622362\pi\)
0.788281 0.615315i \(-0.210971\pi\)
\(632\) −1.79103 + 1.79103i −0.0712432 + 0.0712432i
\(633\) 6.36635 16.4514i 0.253040 0.653883i
\(634\) 16.6761 + 9.62793i 0.662291 + 0.382374i
\(635\) −1.34485 5.01906i −0.0533689 0.199175i
\(636\) −10.3500 12.8523i −0.410405 0.509628i
\(637\) −1.86371 + 3.08652i −0.0738428 + 0.122292i
\(638\) 10.2605i 0.406215i
\(639\) 0.265009 + 5.64226i 0.0104836 + 0.223204i
\(640\) 0.585888 1.01479i 0.0231592 0.0401130i
\(641\) −24.9443 43.2048i −0.985241 1.70649i −0.640863 0.767656i \(-0.721423\pi\)
−0.344378 0.938831i \(-0.611910\pi\)
\(642\) −2.57837 0.278071i −0.101760 0.0109746i
\(643\) 14.2810 + 3.82658i 0.563188 + 0.150906i 0.529171 0.848515i \(-0.322503\pi\)
0.0340174 + 0.999421i \(0.489170\pi\)
\(644\) −4.90814 1.31513i −0.193408 0.0518235i
\(645\) 0.591561 + 0.0637986i 0.0232927 + 0.00251207i
\(646\) −1.47457 2.55402i −0.0580160 0.100487i
\(647\) −9.53941 + 16.5227i −0.375033 + 0.649576i −0.990332 0.138718i \(-0.955702\pi\)
0.615299 + 0.788294i \(0.289035\pi\)
\(648\) −1.50429 + 8.87339i −0.0590939 + 0.348580i
\(649\) 7.69926i 0.302222i
\(650\) 12.6955 3.13606i 0.497960 0.123006i
\(651\) −6.31555 7.84247i −0.247526 0.307371i
\(652\) 0.906537 + 3.38324i 0.0355027 + 0.132498i
\(653\) −3.37449 1.94826i −0.132054 0.0762415i 0.432518 0.901625i \(-0.357625\pi\)
−0.564572 + 0.825384i \(0.690959\pi\)
\(654\) 8.26882 21.3676i 0.323336 0.835538i
\(655\) 11.8426 11.8426i 0.462728 0.462728i
\(656\) 1.73273 6.46664i 0.0676518 0.252480i
\(657\) 17.6568 + 9.11761i 0.688859 + 0.355712i
\(658\) −8.54481 8.54481i −0.333111 0.333111i
\(659\) −3.30124 + 1.90597i −0.128598 + 0.0742462i −0.562919 0.826512i \(-0.690322\pi\)
0.434321 + 0.900758i \(0.356988\pi\)
\(660\) −1.50943 9.70040i −0.0587544 0.377588i
\(661\) −22.9665 + 6.15385i −0.893292 + 0.239357i −0.676133 0.736779i \(-0.736346\pi\)
−0.217159 + 0.976136i \(0.569679\pi\)
\(662\) 9.35287 0.363510
\(663\) 2.55728 1.97792i 0.0993166 0.0768161i
\(664\) 16.5766 0.643298
\(665\) −6.44789 + 1.72771i −0.250038 + 0.0669976i
\(666\) 20.6202 22.6526i 0.799015 0.877772i
\(667\) −9.33449 + 5.38927i −0.361433 + 0.208673i
\(668\) −10.6265 10.6265i −0.411151 0.411151i
\(669\) 1.37660 + 3.11460i 0.0532223 + 0.120417i
\(670\) −3.50586 + 13.0840i −0.135443 + 0.505480i
\(671\) −40.3847 + 40.3847i −1.55903 + 1.55903i
\(672\) 1.61532 + 0.625096i 0.0623123 + 0.0241136i
\(673\) 4.61841 + 2.66644i 0.178027 + 0.102784i 0.586365 0.810047i \(-0.300558\pi\)
−0.408339 + 0.912831i \(0.633892\pi\)
\(674\) −1.15886 4.32492i −0.0446375 0.166590i
\(675\) −8.41903 16.8611i −0.324049 0.648985i
\(676\) −11.5047 + 6.05318i −0.442490 + 0.232815i
\(677\) 17.4542i 0.670819i −0.942072 0.335410i \(-0.891125\pi\)
0.942072 0.335410i \(-0.108875\pi\)
\(678\) 17.5227 23.9809i 0.672955 0.920979i
\(679\) 2.04586 3.54353i 0.0785127 0.135988i
\(680\) 0.303304 + 0.525339i 0.0116312 + 0.0201458i
\(681\) 0.949212 8.80140i 0.0363739 0.337270i
\(682\) −27.1620 7.27804i −1.04009 0.278690i
\(683\) −14.4342 3.86763i −0.552309 0.147991i −0.0281382 0.999604i \(-0.508958\pi\)
−0.524170 + 0.851613i \(0.675625\pi\)
\(684\) 14.3835 9.23016i 0.549965 0.352924i
\(685\) 5.62597 + 9.74447i 0.214957 + 0.372317i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 4.74734 + 3.46886i 0.181122 + 0.132345i
\(688\) 0.293161i 0.0111766i
\(689\) −34.3444 0.674152i −1.30842 0.0256831i
\(690\) 8.03216 6.46831i 0.305779 0.246245i
\(691\) −9.50395 35.4692i −0.361547 1.34931i −0.872042 0.489432i \(-0.837204\pi\)
0.510494 0.859881i \(-0.329462\pi\)
\(692\) 3.70764 + 2.14061i 0.140943 + 0.0813738i
\(693\) 13.8250 4.40924i 0.525170 0.167493i
\(694\) −15.5534 + 15.5534i −0.590398 + 0.590398i
\(695\) −4.73848 + 17.6842i −0.179741 + 0.670801i
\(696\) 3.36047 1.48527i 0.127378 0.0562989i
\(697\) 2.45067 + 2.45067i 0.0928256 + 0.0928256i
\(698\) −30.6176 + 17.6771i −1.15889 + 0.669086i
\(699\) 14.6312 2.27669i 0.553404 0.0861122i
\(700\) −3.50336 + 0.938722i −0.132414 + 0.0354804i
\(701\) 12.1730 0.459768 0.229884 0.973218i \(-0.426165\pi\)
0.229884 + 0.973218i \(0.426165\pi\)
\(702\) 12.1448 + 14.2655i 0.458376 + 0.538416i
\(703\) −58.1684 −2.19386
\(704\) 4.67223 1.25192i 0.176091 0.0471835i
\(705\) 24.2341 3.77094i 0.912710 0.142022i
\(706\) 2.63752 1.52277i 0.0992644 0.0573104i
\(707\) 2.57055 + 2.57055i 0.0966753 + 0.0966753i
\(708\) −2.52164 + 1.11452i −0.0947689 + 0.0418861i
\(709\) −4.31325 + 16.0973i −0.161987 + 0.604545i 0.836418 + 0.548092i \(0.184646\pi\)
−0.998405 + 0.0564528i \(0.982021\pi\)
\(710\) −1.56005 + 1.56005i −0.0585478 + 0.0585478i
\(711\) 7.23941 2.30888i 0.271499 0.0865897i
\(712\) −2.40190 1.38673i −0.0900148 0.0519701i
\(713\) −7.64553 28.5335i −0.286327 1.06859i
\(714\) −0.698360 + 0.562390i −0.0261354 + 0.0210469i
\(715\) −17.4942 10.5634i −0.654244 0.395047i
\(716\) 10.6618i 0.398452i
\(717\) −39.7044 29.0118i −1.48279 1.08347i
\(718\) 6.15101 10.6539i 0.229554 0.397599i
\(719\) −3.40817 5.90313i −0.127103 0.220150i 0.795450 0.606020i \(-0.207235\pi\)
−0.922553 + 0.385870i \(0.873901\pi\)
\(720\) −2.95854 + 1.89856i −0.110258 + 0.0707551i
\(721\) 12.9066 + 3.45830i 0.480666 + 0.128794i
\(722\) −12.9949 3.48198i −0.483620 0.129586i
\(723\) −4.13080 + 38.3021i −0.153626 + 1.42447i
\(724\) 6.86168 + 11.8848i 0.255013 + 0.441695i
\(725\) −3.84678 + 6.66282i −0.142866 + 0.247451i
\(726\) 12.6681 17.3371i 0.470159 0.643440i
\(727\) 31.4461i 1.16627i −0.812375 0.583135i \(-0.801826\pi\)
0.812375 0.583135i \(-0.198174\pi\)
\(728\) 3.15728 1.74115i 0.117017 0.0645312i
\(729\) 16.2236 21.5823i 0.600875 0.799343i
\(730\) 2.00891 + 7.49734i 0.0743530 + 0.277489i
\(731\) −0.131432 0.0758822i −0.00486118 0.00280661i
\(732\) 19.0726 + 7.38072i 0.704944 + 0.272799i
\(733\) −3.85594 + 3.85594i −0.142422 + 0.142422i −0.774723 0.632301i \(-0.782111\pi\)
0.632301 + 0.774723i \(0.282111\pi\)
\(734\) −4.06624 + 15.1754i −0.150088 + 0.560135i
\(735\) 0.820469 + 1.85634i 0.0302635 + 0.0684722i
\(736\) 3.59301 + 3.59301i 0.132440 + 0.132440i
\(737\) −48.4244 + 27.9578i −1.78374 + 1.02984i
\(738\) −13.5198 + 14.8524i −0.497670 + 0.546724i
\(739\) 4.86945 1.30477i 0.179126 0.0479966i −0.168141 0.985763i \(-0.553776\pi\)
0.347267 + 0.937766i \(0.387110\pi\)
\(740\) 11.9647 0.439831
\(741\) 4.50816 35.2896i 0.165611 1.29640i
\(742\) 9.52725 0.349756
\(743\) 17.4562 4.67738i 0.640407 0.171597i 0.0760193 0.997106i \(-0.475779\pi\)
0.564388 + 0.825510i \(0.309112\pi\)
\(744\) 1.54820 + 9.94955i 0.0567597 + 0.364768i
\(745\) 6.64573 3.83691i 0.243481 0.140574i
\(746\) 1.49380 + 1.49380i 0.0546918 + 0.0546918i
\(747\) −44.1865 22.8170i −1.61670 0.834830i
\(748\) −0.648098 + 2.41873i −0.0236968 + 0.0884377i
\(749\) 1.05872 1.05872i 0.0386847 0.0386847i
\(750\) 6.31899 16.3290i 0.230737 0.596251i
\(751\) −39.0894 22.5683i −1.42639 0.823528i −0.429559 0.903039i \(-0.641331\pi\)
−0.996834 + 0.0795108i \(0.974664\pi\)
\(752\) 3.12762 + 11.6724i 0.114053 + 0.425650i
\(753\) 17.7172 + 22.0007i 0.645650 + 0.801749i
\(754\) 2.12410 7.34731i 0.0773551 0.267573i
\(755\) 26.0085i 0.946545i
\(756\) −3.44536 3.88966i −0.125307 0.141466i
\(757\) −21.5477 + 37.3217i −0.783164 + 1.35648i 0.146925 + 0.989148i \(0.453062\pi\)
−0.930090 + 0.367333i \(0.880271\pi\)
\(758\) 17.1930 + 29.7792i 0.624478 + 1.08163i
\(759\) 42.3256 + 4.56472i 1.53632 + 0.165689i
\(760\) 6.44789 + 1.72771i 0.233890 + 0.0626705i
\(761\) 36.4729 + 9.77289i 1.32214 + 0.354267i 0.849780 0.527137i \(-0.176735\pi\)
0.472363 + 0.881404i \(0.343401\pi\)
\(762\) −7.63631 0.823560i −0.276634 0.0298344i
\(763\) 6.61404 + 11.4559i 0.239444 + 0.414730i
\(764\) 9.09873 15.7595i 0.329181 0.570157i
\(765\) −0.0853807 1.81782i −0.00308694 0.0657235i
\(766\) 27.8236i 1.00531i
\(767\) −1.59389 + 5.51329i −0.0575519 + 0.199073i
\(768\) −1.08636 1.34901i −0.0392006 0.0486781i
\(769\) −7.35795 27.4602i −0.265335 0.990242i −0.962045 0.272890i \(-0.912021\pi\)
0.696711 0.717352i \(-0.254646\pi\)
\(770\) 4.90857 + 2.83396i 0.176893 + 0.102129i
\(771\) −1.87256 + 4.83892i −0.0674387 + 0.174269i
\(772\) −0.610626 + 0.610626i −0.0219769 + 0.0219769i
\(773\) −2.26818 + 8.46496i −0.0815808 + 0.304464i −0.994645 0.103353i \(-0.967043\pi\)
0.913064 + 0.407816i \(0.133710\pi\)