Properties

Label 240.2.bl.a.229.21
Level $240$
Weight $2$
Character 240.229
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 229.21
Character \(\chi\) \(=\) 240.229
Dual form 240.2.bl.a.109.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.22294 - 0.710230i) q^{2} +(0.707107 + 0.707107i) q^{3} +(0.991146 - 1.73713i) q^{4} +(0.607542 - 2.15195i) q^{5} +(1.36696 + 0.362538i) q^{6} -2.25286 q^{7} +(-0.0216568 - 2.82834i) q^{8} +1.00000i q^{9} +O(q^{10})\) \(q+(1.22294 - 0.710230i) q^{2} +(0.707107 + 0.707107i) q^{3} +(0.991146 - 1.73713i) q^{4} +(0.607542 - 2.15195i) q^{5} +(1.36696 + 0.362538i) q^{6} -2.25286 q^{7} +(-0.0216568 - 2.82834i) q^{8} +1.00000i q^{9} +(-0.785395 - 3.06319i) q^{10} +(-1.66088 - 1.66088i) q^{11} +(1.92918 - 0.527493i) q^{12} +(4.76925 + 4.76925i) q^{13} +(-2.75511 + 1.60005i) q^{14} +(1.95126 - 1.09206i) q^{15} +(-2.03526 - 3.44350i) q^{16} +6.99777i q^{17} +(0.710230 + 1.22294i) q^{18} +(-2.66634 + 2.66634i) q^{19} +(-3.13606 - 3.18828i) q^{20} +(-1.59301 - 1.59301i) q^{21} +(-3.21076 - 0.851543i) q^{22} +4.41825 q^{23} +(1.98463 - 2.01526i) q^{24} +(-4.26178 - 2.61480i) q^{25} +(9.21975 + 2.44522i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-2.23291 + 3.91352i) q^{28} +(2.59286 - 2.59286i) q^{29} +(1.61065 - 2.72136i) q^{30} -3.93331 q^{31} +(-4.93467 - 2.76568i) q^{32} -2.34884i q^{33} +(4.97003 + 8.55783i) q^{34} +(-1.36871 + 4.84805i) q^{35} +(1.73713 + 0.991146i) q^{36} +(2.01181 - 2.01181i) q^{37} +(-1.36705 + 5.15448i) q^{38} +6.74474i q^{39} +(-6.09962 - 1.67173i) q^{40} -4.50104i q^{41} +(-3.07956 - 0.816748i) q^{42} +(-7.14876 + 7.14876i) q^{43} +(-4.53135 + 1.23900i) q^{44} +(2.15195 + 0.607542i) q^{45} +(5.40324 - 3.13798i) q^{46} -10.1154i q^{47} +(0.995778 - 3.87407i) q^{48} -1.92461 q^{49} +(-7.06900 - 0.170887i) q^{50} +(-4.94817 + 4.94817i) q^{51} +(13.0118 - 3.55780i) q^{52} +(-0.649299 + 0.649299i) q^{53} +(-0.362538 + 1.36696i) q^{54} +(-4.58319 + 2.56508i) q^{55} +(0.0487897 + 6.37187i) q^{56} -3.77078 q^{57} +(1.32937 - 5.01242i) q^{58} +(5.64696 + 5.64696i) q^{59} +(0.0369229 - 4.47198i) q^{60} +(-5.00520 + 5.00520i) q^{61} +(-4.81018 + 2.79355i) q^{62} -2.25286i q^{63} +(-7.99906 + 0.122506i) q^{64} +(13.1607 - 7.36567i) q^{65} +(-1.66822 - 2.87248i) q^{66} +(-4.95274 - 4.95274i) q^{67} +(12.1561 + 6.93581i) q^{68} +(3.12417 + 3.12417i) q^{69} +(1.76939 + 6.90095i) q^{70} -2.33178i q^{71} +(2.82834 - 0.0216568i) q^{72} +2.18275 q^{73} +(1.03146 - 3.88915i) q^{74} +(-1.16459 - 4.86248i) q^{75} +(1.98906 + 7.27452i) q^{76} +(3.74174 + 3.74174i) q^{77} +(4.79032 + 8.24838i) q^{78} +6.38450 q^{79} +(-8.64676 + 2.28771i) q^{80} -1.00000 q^{81} +(-3.19678 - 5.50449i) q^{82} +(5.25073 + 5.25073i) q^{83} +(-4.34619 + 1.18837i) q^{84} +(15.0589 + 4.25144i) q^{85} +(-3.66521 + 13.8197i) q^{86} +3.66685 q^{87} +(-4.66157 + 4.73351i) q^{88} -15.7100i q^{89} +(3.06319 - 0.785395i) q^{90} +(-10.7445 - 10.7445i) q^{91} +(4.37913 - 7.67509i) q^{92} +(-2.78127 - 2.78127i) q^{93} +(-7.18424 - 12.3705i) q^{94} +(4.11792 + 7.35775i) q^{95} +(-1.53371 - 5.44497i) q^{96} -4.61603i q^{97} +(-2.35368 + 1.36692i) q^{98} +(1.66088 - 1.66088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.22294 0.710230i 0.864746 0.502209i
\(3\) 0.707107 + 0.707107i 0.408248 + 0.408248i
\(4\) 0.991146 1.73713i 0.495573 0.868566i
\(5\) 0.607542 2.15195i 0.271701 0.962382i
\(6\) 1.36696 + 0.362538i 0.558057 + 0.148005i
\(7\) −2.25286 −0.851502 −0.425751 0.904840i \(-0.639990\pi\)
−0.425751 + 0.904840i \(0.639990\pi\)
\(8\) −0.0216568 2.82834i −0.00765682 0.999971i
\(9\) 1.00000i 0.333333i
\(10\) −0.785395 3.06319i −0.248364 0.968667i
\(11\) −1.66088 1.66088i −0.500775 0.500775i 0.410904 0.911679i \(-0.365213\pi\)
−0.911679 + 0.410904i \(0.865213\pi\)
\(12\) 1.92918 0.527493i 0.556907 0.152274i
\(13\) 4.76925 + 4.76925i 1.32275 + 1.32275i 0.911540 + 0.411212i \(0.134894\pi\)
0.411212 + 0.911540i \(0.365106\pi\)
\(14\) −2.75511 + 1.60005i −0.736333 + 0.427632i
\(15\) 1.95126 1.09206i 0.503812 0.281969i
\(16\) −2.03526 3.44350i −0.508815 0.860876i
\(17\) 6.99777i 1.69721i 0.529028 + 0.848604i \(0.322557\pi\)
−0.529028 + 0.848604i \(0.677443\pi\)
\(18\) 0.710230 + 1.22294i 0.167403 + 0.288249i
\(19\) −2.66634 + 2.66634i −0.611701 + 0.611701i −0.943389 0.331688i \(-0.892382\pi\)
0.331688 + 0.943389i \(0.392382\pi\)
\(20\) −3.13606 3.18828i −0.701245 0.712921i
\(21\) −1.59301 1.59301i −0.347624 0.347624i
\(22\) −3.21076 0.851543i −0.684536 0.181550i
\(23\) 4.41825 0.921269 0.460634 0.887590i \(-0.347622\pi\)
0.460634 + 0.887590i \(0.347622\pi\)
\(24\) 1.98463 2.01526i 0.405110 0.411362i
\(25\) −4.26178 2.61480i −0.852357 0.522960i
\(26\) 9.21975 + 2.44522i 1.80814 + 0.479547i
\(27\) −0.707107 + 0.707107i −0.136083 + 0.136083i
\(28\) −2.23291 + 3.91352i −0.421981 + 0.739586i
\(29\) 2.59286 2.59286i 0.481481 0.481481i −0.424123 0.905604i \(-0.639418\pi\)
0.905604 + 0.424123i \(0.139418\pi\)
\(30\) 1.61065 2.72136i 0.294062 0.496851i
\(31\) −3.93331 −0.706443 −0.353221 0.935540i \(-0.614914\pi\)
−0.353221 + 0.935540i \(0.614914\pi\)
\(32\) −4.93467 2.76568i −0.872335 0.488908i
\(33\) 2.34884i 0.408881i
\(34\) 4.97003 + 8.55783i 0.852353 + 1.46766i
\(35\) −1.36871 + 4.84805i −0.231354 + 0.819470i
\(36\) 1.73713 + 0.991146i 0.289522 + 0.165191i
\(37\) 2.01181 2.01181i 0.330739 0.330739i −0.522128 0.852867i \(-0.674862\pi\)
0.852867 + 0.522128i \(0.174862\pi\)
\(38\) −1.36705 + 5.15448i −0.221765 + 0.836167i
\(39\) 6.74474i 1.08002i
\(40\) −6.09962 1.67173i −0.964434 0.264324i
\(41\) 4.50104i 0.702945i −0.936198 0.351472i \(-0.885681\pi\)
0.936198 0.351472i \(-0.114319\pi\)
\(42\) −3.07956 0.816748i −0.475187 0.126027i
\(43\) −7.14876 + 7.14876i −1.09017 + 1.09017i −0.0946658 + 0.995509i \(0.530178\pi\)
−0.995509 + 0.0946658i \(0.969822\pi\)
\(44\) −4.53135 + 1.23900i −0.683126 + 0.186786i
\(45\) 2.15195 + 0.607542i 0.320794 + 0.0905671i
\(46\) 5.40324 3.13798i 0.796664 0.462669i
\(47\) 10.1154i 1.47548i −0.675086 0.737739i \(-0.735893\pi\)
0.675086 0.737739i \(-0.264107\pi\)
\(48\) 0.995778 3.87407i 0.143728 0.559174i
\(49\) −1.92461 −0.274945
\(50\) −7.06900 0.170887i −0.999708 0.0241671i
\(51\) −4.94817 + 4.94817i −0.692883 + 0.692883i
\(52\) 13.0118 3.55780i 1.80442 0.493378i
\(53\) −0.649299 + 0.649299i −0.0891881 + 0.0891881i −0.750293 0.661105i \(-0.770088\pi\)
0.661105 + 0.750293i \(0.270088\pi\)
\(54\) −0.362538 + 1.36696i −0.0493351 + 0.186019i
\(55\) −4.58319 + 2.56508i −0.617997 + 0.345875i
\(56\) 0.0487897 + 6.37187i 0.00651980 + 0.851477i
\(57\) −3.77078 −0.499452
\(58\) 1.32937 5.01242i 0.174555 0.658163i
\(59\) 5.64696 + 5.64696i 0.735172 + 0.735172i 0.971639 0.236468i \(-0.0759897\pi\)
−0.236468 + 0.971639i \(0.575990\pi\)
\(60\) 0.0369229 4.47198i 0.00476672 0.577331i
\(61\) −5.00520 + 5.00520i −0.640851 + 0.640851i −0.950765 0.309914i \(-0.899700\pi\)
0.309914 + 0.950765i \(0.399700\pi\)
\(62\) −4.81018 + 2.79355i −0.610894 + 0.354782i
\(63\) 2.25286i 0.283834i
\(64\) −7.99906 + 0.122506i −0.999883 + 0.0153132i
\(65\) 13.1607 7.36567i 1.63239 0.913599i
\(66\) −1.66822 2.87248i −0.205343 0.353578i
\(67\) −4.95274 4.95274i −0.605074 0.605074i 0.336581 0.941655i \(-0.390729\pi\)
−0.941655 + 0.336581i \(0.890729\pi\)
\(68\) 12.1561 + 6.93581i 1.47414 + 0.841091i
\(69\) 3.12417 + 3.12417i 0.376106 + 0.376106i
\(70\) 1.76939 + 6.90095i 0.211482 + 0.824822i
\(71\) 2.33178i 0.276732i −0.990381 0.138366i \(-0.955815\pi\)
0.990381 0.138366i \(-0.0441850\pi\)
\(72\) 2.82834 0.0216568i 0.333324 0.00255227i
\(73\) 2.18275 0.255472 0.127736 0.991808i \(-0.459229\pi\)
0.127736 + 0.991808i \(0.459229\pi\)
\(74\) 1.03146 3.88915i 0.119905 0.452105i
\(75\) −1.16459 4.86248i −0.134476 0.561471i
\(76\) 1.98906 + 7.27452i 0.228160 + 0.834445i
\(77\) 3.74174 + 3.74174i 0.426410 + 0.426410i
\(78\) 4.79032 + 8.24838i 0.542397 + 0.933945i
\(79\) 6.38450 0.718312 0.359156 0.933278i \(-0.383065\pi\)
0.359156 + 0.933278i \(0.383065\pi\)
\(80\) −8.64676 + 2.28771i −0.966737 + 0.255773i
\(81\) −1.00000 −0.111111
\(82\) −3.19678 5.50449i −0.353025 0.607869i
\(83\) 5.25073 + 5.25073i 0.576342 + 0.576342i 0.933894 0.357551i \(-0.116388\pi\)
−0.357551 + 0.933894i \(0.616388\pi\)
\(84\) −4.34619 + 1.18837i −0.474208 + 0.129662i
\(85\) 15.0589 + 4.25144i 1.63336 + 0.461134i
\(86\) −3.66521 + 13.8197i −0.395230 + 1.49022i
\(87\) 3.66685 0.393128
\(88\) −4.66157 + 4.73351i −0.496926 + 0.504594i
\(89\) 15.7100i 1.66525i −0.553833 0.832627i \(-0.686836\pi\)
0.553833 0.832627i \(-0.313164\pi\)
\(90\) 3.06319 0.785395i 0.322889 0.0827879i
\(91\) −10.7445 10.7445i −1.12633 1.12633i
\(92\) 4.37913 7.67509i 0.456556 0.800183i
\(93\) −2.78127 2.78127i −0.288404 0.288404i
\(94\) −7.18424 12.3705i −0.740998 1.27591i
\(95\) 4.11792 + 7.35775i 0.422490 + 0.754889i
\(96\) −1.53371 5.44497i −0.156534 0.555725i
\(97\) 4.61603i 0.468687i −0.972154 0.234343i \(-0.924706\pi\)
0.972154 0.234343i \(-0.0752940\pi\)
\(98\) −2.35368 + 1.36692i −0.237757 + 0.138080i
\(99\) 1.66088 1.66088i 0.166925 0.166925i
\(100\) −8.76631 + 4.81164i −0.876631 + 0.481164i
\(101\) −1.13980 1.13980i −0.113415 0.113415i 0.648122 0.761537i \(-0.275555\pi\)
−0.761537 + 0.648122i \(0.775555\pi\)
\(102\) −2.53696 + 9.56564i −0.251196 + 0.947140i
\(103\) −4.11257 −0.405224 −0.202612 0.979259i \(-0.564943\pi\)
−0.202612 + 0.979259i \(0.564943\pi\)
\(104\) 13.3858 13.5924i 1.31258 1.33284i
\(105\) −4.39591 + 2.46026i −0.428997 + 0.240097i
\(106\) −0.332899 + 1.25520i −0.0323340 + 0.121916i
\(107\) −4.98634 + 4.98634i −0.482048 + 0.482048i −0.905785 0.423737i \(-0.860718\pi\)
0.423737 + 0.905785i \(0.360718\pi\)
\(108\) 0.527493 + 1.92918i 0.0507580 + 0.185636i
\(109\) 3.62560 3.62560i 0.347269 0.347269i −0.511822 0.859091i \(-0.671029\pi\)
0.859091 + 0.511822i \(0.171029\pi\)
\(110\) −3.78315 + 6.39205i −0.360709 + 0.609458i
\(111\) 2.84512 0.270047
\(112\) 4.58516 + 7.75774i 0.433257 + 0.733037i
\(113\) 0.639228i 0.0601335i 0.999548 + 0.0300668i \(0.00957199\pi\)
−0.999548 + 0.0300668i \(0.990428\pi\)
\(114\) −4.61142 + 2.67812i −0.431899 + 0.250829i
\(115\) 2.68427 9.50786i 0.250310 0.886612i
\(116\) −1.93424 7.07403i −0.179589 0.656807i
\(117\) −4.76925 + 4.76925i −0.440917 + 0.440917i
\(118\) 10.9165 + 2.89523i 1.00495 + 0.266527i
\(119\) 15.7650i 1.44518i
\(120\) −3.13098 5.49517i −0.285818 0.501638i
\(121\) 5.48295i 0.498450i
\(122\) −2.56620 + 9.67589i −0.232333 + 0.876014i
\(123\) 3.18272 3.18272i 0.286976 0.286976i
\(124\) −3.89848 + 6.83268i −0.350094 + 0.613593i
\(125\) −8.21614 + 7.58255i −0.734874 + 0.678204i
\(126\) −1.60005 2.75511i −0.142544 0.245444i
\(127\) 17.5549i 1.55774i −0.627184 0.778871i \(-0.715793\pi\)
0.627184 0.778871i \(-0.284207\pi\)
\(128\) −9.69533 + 5.83099i −0.856955 + 0.515392i
\(129\) −10.1099 −0.890124
\(130\) 10.8634 18.3549i 0.952782 1.60983i
\(131\) 0.826200 0.826200i 0.0721855 0.0721855i −0.670092 0.742278i \(-0.733745\pi\)
0.742278 + 0.670092i \(0.233745\pi\)
\(132\) −4.08025 2.32804i −0.355140 0.202630i
\(133\) 6.00690 6.00690i 0.520864 0.520864i
\(134\) −9.57448 2.53930i −0.827109 0.219362i
\(135\) 1.09206 + 1.95126i 0.0939897 + 0.167937i
\(136\) 19.7921 0.151549i 1.69716 0.0129952i
\(137\) −8.92457 −0.762477 −0.381239 0.924477i \(-0.624502\pi\)
−0.381239 + 0.924477i \(0.624502\pi\)
\(138\) 6.03955 + 1.60178i 0.514121 + 0.136353i
\(139\) 4.83668 + 4.83668i 0.410242 + 0.410242i 0.881823 0.471581i \(-0.156317\pi\)
−0.471581 + 0.881823i \(0.656317\pi\)
\(140\) 7.06511 + 7.18275i 0.597111 + 0.607053i
\(141\) 7.15265 7.15265i 0.602361 0.602361i
\(142\) −1.65610 2.85162i −0.138977 0.239303i
\(143\) 15.8423i 1.32480i
\(144\) 3.44350 2.03526i 0.286959 0.169605i
\(145\) −4.00443 7.15497i −0.332550 0.594188i
\(146\) 2.66936 1.55026i 0.220918 0.128300i
\(147\) −1.36091 1.36091i −0.112246 0.112246i
\(148\) −1.50078 5.48876i −0.123363 0.451174i
\(149\) −1.49085 1.49085i −0.122135 0.122135i 0.643397 0.765533i \(-0.277524\pi\)
−0.765533 + 0.643397i \(0.777524\pi\)
\(150\) −4.87770 5.11938i −0.398263 0.417995i
\(151\) 9.61540i 0.782490i 0.920287 + 0.391245i \(0.127956\pi\)
−0.920287 + 0.391245i \(0.872044\pi\)
\(152\) 7.59908 + 7.48359i 0.616366 + 0.606999i
\(153\) −6.99777 −0.565736
\(154\) 7.23340 + 1.91841i 0.582884 + 0.154590i
\(155\) −2.38965 + 8.46429i −0.191941 + 0.679868i
\(156\) 11.7165 + 6.68502i 0.938071 + 0.535230i
\(157\) 16.0158 + 16.0158i 1.27820 + 1.27820i 0.941676 + 0.336521i \(0.109250\pi\)
0.336521 + 0.941676i \(0.390750\pi\)
\(158\) 7.80783 4.53446i 0.621158 0.360743i
\(159\) −0.918248 −0.0728218
\(160\) −8.94963 + 8.93891i −0.707530 + 0.706683i
\(161\) −9.95371 −0.784462
\(162\) −1.22294 + 0.710230i −0.0960829 + 0.0558010i
\(163\) 13.3477 + 13.3477i 1.04547 + 1.04547i 0.998916 + 0.0465557i \(0.0148245\pi\)
0.0465557 + 0.998916i \(0.485176\pi\)
\(164\) −7.81891 4.46119i −0.610554 0.348360i
\(165\) −5.05459 1.42702i −0.393499 0.111093i
\(166\) 10.1505 + 2.69208i 0.787834 + 0.208946i
\(167\) 12.8029 0.990720 0.495360 0.868688i \(-0.335036\pi\)
0.495360 + 0.868688i \(0.335036\pi\)
\(168\) −4.47109 + 4.54009i −0.344952 + 0.350276i
\(169\) 32.4915i 2.49934i
\(170\) 21.4355 5.49602i 1.64403 0.421525i
\(171\) −2.66634 2.66634i −0.203900 0.203900i
\(172\) 5.33288 + 19.5038i 0.406628 + 1.48715i
\(173\) −12.8300 12.8300i −0.975450 0.975450i 0.0242559 0.999706i \(-0.492278\pi\)
−0.999706 + 0.0242559i \(0.992278\pi\)
\(174\) 4.48433 2.60431i 0.339956 0.197432i
\(175\) 9.60121 + 5.89079i 0.725784 + 0.445302i
\(176\) −2.33892 + 9.09958i −0.176303 + 0.685906i
\(177\) 7.98601i 0.600265i
\(178\) −11.1577 19.2123i −0.836306 1.44002i
\(179\) 4.61252 4.61252i 0.344756 0.344756i −0.513396 0.858152i \(-0.671613\pi\)
0.858152 + 0.513396i \(0.171613\pi\)
\(180\) 3.18828 3.13606i 0.237640 0.233748i
\(181\) −4.12071 4.12071i −0.306290 0.306290i 0.537179 0.843468i \(-0.319490\pi\)
−0.843468 + 0.537179i \(0.819490\pi\)
\(182\) −20.7708 5.50875i −1.53964 0.408335i
\(183\) −7.07843 −0.523252
\(184\) −0.0956850 12.4963i −0.00705399 0.921242i
\(185\) −3.10705 5.55156i −0.228435 0.408159i
\(186\) −5.37666 1.42597i −0.394236 0.104557i
\(187\) 11.6225 11.6225i 0.849919 0.849919i
\(188\) −17.5717 10.0258i −1.28155 0.731207i
\(189\) 1.59301 1.59301i 0.115875 0.115875i
\(190\) 10.2617 + 6.07339i 0.744459 + 0.440610i
\(191\) −0.953399 −0.0689855 −0.0344928 0.999405i \(-0.510982\pi\)
−0.0344928 + 0.999405i \(0.510982\pi\)
\(192\) −5.74282 5.56957i −0.414452 0.401949i
\(193\) 4.82186i 0.347085i 0.984826 + 0.173543i \(0.0555214\pi\)
−0.984826 + 0.173543i \(0.944479\pi\)
\(194\) −3.27844 5.64511i −0.235379 0.405295i
\(195\) 14.5143 + 4.09771i 1.03939 + 0.293443i
\(196\) −1.90757 + 3.34331i −0.136255 + 0.238808i
\(197\) 2.47660 2.47660i 0.176451 0.176451i −0.613356 0.789807i \(-0.710181\pi\)
0.789807 + 0.613356i \(0.210181\pi\)
\(198\) 0.851543 3.21076i 0.0605166 0.228179i
\(199\) 17.4435i 1.23654i −0.785966 0.618270i \(-0.787834\pi\)
0.785966 0.618270i \(-0.212166\pi\)
\(200\) −7.30326 + 12.1104i −0.516419 + 0.856336i
\(201\) 7.00424i 0.494041i
\(202\) −2.20343 0.584384i −0.155033 0.0411171i
\(203\) −5.84135 + 5.84135i −0.409982 + 0.409982i
\(204\) 3.69127 + 13.5000i 0.258441 + 0.945188i
\(205\) −9.68602 2.73457i −0.676501 0.190991i
\(206\) −5.02941 + 2.92087i −0.350416 + 0.203507i
\(207\) 4.41825i 0.307090i
\(208\) 6.71626 26.1296i 0.465689 1.81176i
\(209\) 8.85695 0.612648
\(210\) −3.62856 + 6.13086i −0.250395 + 0.423069i
\(211\) 5.41135 5.41135i 0.372533 0.372533i −0.495866 0.868399i \(-0.665149\pi\)
0.868399 + 0.495866i \(0.165149\pi\)
\(212\) 0.484369 + 1.77147i 0.0332666 + 0.121665i
\(213\) 1.64882 1.64882i 0.112975 0.112975i
\(214\) −2.55653 + 9.63943i −0.174761 + 0.658938i
\(215\) 11.0406 + 19.7269i 0.752963 + 1.34537i
\(216\) 2.01526 + 1.98463i 0.137121 + 0.135037i
\(217\) 8.86120 0.601538
\(218\) 1.85886 7.00888i 0.125898 0.474701i
\(219\) 1.54344 + 1.54344i 0.104296 + 0.104296i
\(220\) −0.0867259 + 10.5040i −0.00584706 + 0.708178i
\(221\) −33.3741 + 33.3741i −2.24499 + 2.24499i
\(222\) 3.47940 2.02069i 0.233522 0.135620i
\(223\) 18.2634i 1.22301i 0.791241 + 0.611505i \(0.209436\pi\)
−0.791241 + 0.611505i \(0.790564\pi\)
\(224\) 11.1171 + 6.23070i 0.742795 + 0.416306i
\(225\) 2.61480 4.26178i 0.174320 0.284119i
\(226\) 0.453999 + 0.781735i 0.0301996 + 0.0520002i
\(227\) −2.23773 2.23773i −0.148523 0.148523i 0.628935 0.777458i \(-0.283491\pi\)
−0.777458 + 0.628935i \(0.783491\pi\)
\(228\) −3.73739 + 6.55034i −0.247515 + 0.433807i
\(229\) 6.40974 + 6.40974i 0.423568 + 0.423568i 0.886430 0.462862i \(-0.153178\pi\)
−0.462862 + 0.886430i \(0.653178\pi\)
\(230\) −3.47007 13.5340i −0.228810 0.892402i
\(231\) 5.29162i 0.348163i
\(232\) −7.38964 7.27734i −0.485154 0.477781i
\(233\) −2.67972 −0.175555 −0.0877773 0.996140i \(-0.527976\pi\)
−0.0877773 + 0.996140i \(0.527976\pi\)
\(234\) −2.44522 + 9.21975i −0.159849 + 0.602714i
\(235\) −21.7678 6.14551i −1.41997 0.400889i
\(236\) 15.4065 4.21256i 1.00288 0.274214i
\(237\) 4.51452 + 4.51452i 0.293250 + 0.293250i
\(238\) −11.1968 19.2796i −0.725780 1.24971i
\(239\) −26.0323 −1.68389 −0.841946 0.539562i \(-0.818590\pi\)
−0.841946 + 0.539562i \(0.818590\pi\)
\(240\) −7.73183 4.49653i −0.499088 0.290250i
\(241\) 5.87408 0.378383 0.189191 0.981940i \(-0.439413\pi\)
0.189191 + 0.981940i \(0.439413\pi\)
\(242\) −3.89415 6.70529i −0.250326 0.431033i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 3.73382 + 13.6556i 0.239033 + 0.874209i
\(245\) −1.16928 + 4.14167i −0.0747028 + 0.264602i
\(246\) 1.63180 6.15272i 0.104040 0.392283i
\(247\) −25.4329 −1.61826
\(248\) 0.0851827 + 11.1247i 0.00540911 + 0.706422i
\(249\) 7.42565i 0.470582i
\(250\) −4.66246 + 15.1083i −0.294880 + 0.955534i
\(251\) 8.44080 + 8.44080i 0.532779 + 0.532779i 0.921398 0.388620i \(-0.127048\pi\)
−0.388620 + 0.921398i \(0.627048\pi\)
\(252\) −3.91352 2.23291i −0.246529 0.140660i
\(253\) −7.33819 7.33819i −0.461348 0.461348i
\(254\) −12.4680 21.4685i −0.782311 1.34705i
\(255\) 7.64200 + 13.6544i 0.478561 + 0.855075i
\(256\) −7.71543 + 14.0169i −0.482214 + 0.876053i
\(257\) 22.2011i 1.38487i 0.721480 + 0.692435i \(0.243462\pi\)
−0.721480 + 0.692435i \(0.756538\pi\)
\(258\) −12.3637 + 7.18033i −0.769732 + 0.447028i
\(259\) −4.53232 + 4.53232i −0.281625 + 0.281625i
\(260\) 0.249035 30.1623i 0.0154445 1.87059i
\(261\) 2.59286 + 2.59286i 0.160494 + 0.160494i
\(262\) 0.423598 1.59718i 0.0261700 0.0986743i
\(263\) 0.464456 0.0286396 0.0143198 0.999897i \(-0.495442\pi\)
0.0143198 + 0.999897i \(0.495442\pi\)
\(264\) −6.64333 + 0.0508683i −0.408869 + 0.00313073i
\(265\) 1.00278 + 1.79174i 0.0616005 + 0.110065i
\(266\) 3.07977 11.6123i 0.188833 0.711998i
\(267\) 11.1086 11.1086i 0.679837 0.679837i
\(268\) −13.5125 + 3.69468i −0.825405 + 0.225689i
\(269\) 4.74205 4.74205i 0.289128 0.289128i −0.547608 0.836735i \(-0.684461\pi\)
0.836735 + 0.547608i \(0.184461\pi\)
\(270\) 2.72136 + 1.61065i 0.165617 + 0.0980208i
\(271\) 12.0417 0.731482 0.365741 0.930717i \(-0.380816\pi\)
0.365741 + 0.930717i \(0.380816\pi\)
\(272\) 24.0968 14.2423i 1.46109 0.863566i
\(273\) 15.1950i 0.919641i
\(274\) −10.9142 + 6.33850i −0.659349 + 0.382923i
\(275\) 2.73544 + 11.4212i 0.164953 + 0.688724i
\(276\) 8.52362 2.33059i 0.513061 0.140285i
\(277\) −17.9760 + 17.9760i −1.08007 + 1.08007i −0.0835733 + 0.996502i \(0.526633\pi\)
−0.996502 + 0.0835733i \(0.973367\pi\)
\(278\) 9.35010 + 2.47979i 0.560782 + 0.148728i
\(279\) 3.93331i 0.235481i
\(280\) 13.7416 + 3.76619i 0.821217 + 0.225073i
\(281\) 9.58712i 0.571919i 0.958242 + 0.285960i \(0.0923123\pi\)
−0.958242 + 0.285960i \(0.907688\pi\)
\(282\) 3.66720 13.8273i 0.218379 0.823401i
\(283\) −5.09022 + 5.09022i −0.302582 + 0.302582i −0.842023 0.539441i \(-0.818636\pi\)
0.539441 + 0.842023i \(0.318636\pi\)
\(284\) −4.05062 2.31114i −0.240360 0.137141i
\(285\) −2.29091 + 8.11453i −0.135702 + 0.480663i
\(286\) −11.2517 19.3741i −0.665327 1.14562i
\(287\) 10.1402i 0.598559i
\(288\) 2.76568 4.93467i 0.162969 0.290778i
\(289\) −31.9688 −1.88052
\(290\) −9.97884 5.90600i −0.585977 0.346812i
\(291\) 3.26403 3.26403i 0.191341 0.191341i
\(292\) 2.16342 3.79173i 0.126605 0.221894i
\(293\) −4.25071 + 4.25071i −0.248329 + 0.248329i −0.820285 0.571955i \(-0.806185\pi\)
0.571955 + 0.820285i \(0.306185\pi\)
\(294\) −2.63086 0.697744i −0.153435 0.0406933i
\(295\) 15.5827 8.72121i 0.907263 0.507769i
\(296\) −5.73365 5.64651i −0.333261 0.328197i
\(297\) 2.34884 0.136294
\(298\) −2.88206 0.764368i −0.166953 0.0442787i
\(299\) 21.0717 + 21.0717i 1.21861 + 1.21861i
\(300\) −9.60106 2.79638i −0.554317 0.161449i
\(301\) 16.1052 16.1052i 0.928286 0.928286i
\(302\) 6.82915 + 11.7590i 0.392973 + 0.676655i
\(303\) 1.61193i 0.0926028i
\(304\) 14.6083 + 3.75485i 0.837841 + 0.215356i
\(305\) 7.73008 + 13.8118i 0.442623 + 0.790863i
\(306\) −8.55783 + 4.97003i −0.489218 + 0.284118i
\(307\) 0.153856 + 0.153856i 0.00878103 + 0.00878103i 0.711484 0.702703i \(-0.248024\pi\)
−0.702703 + 0.711484i \(0.748024\pi\)
\(308\) 10.2085 2.79129i 0.581683 0.159048i
\(309\) −2.90803 2.90803i −0.165432 0.165432i
\(310\) 3.08920 + 12.0485i 0.175455 + 0.684308i
\(311\) 34.8210i 1.97452i −0.159115 0.987260i \(-0.550864\pi\)
0.159115 0.987260i \(-0.449136\pi\)
\(312\) 19.0764 0.146069i 1.07999 0.00826954i
\(313\) 17.3412 0.980182 0.490091 0.871671i \(-0.336964\pi\)
0.490091 + 0.871671i \(0.336964\pi\)
\(314\) 30.9611 + 8.21137i 1.74724 + 0.463395i
\(315\) −4.84805 1.36871i −0.273157 0.0771180i
\(316\) 6.32797 11.0907i 0.355976 0.623902i
\(317\) −10.1485 10.1485i −0.569999 0.569999i 0.362129 0.932128i \(-0.382050\pi\)
−0.932128 + 0.362129i \(0.882050\pi\)
\(318\) −1.12296 + 0.652167i −0.0629724 + 0.0365717i
\(319\) −8.61285 −0.482227
\(320\) −4.59614 + 17.2880i −0.256932 + 0.966429i
\(321\) −7.05175 −0.393591
\(322\) −12.1727 + 7.06943i −0.678361 + 0.393964i
\(323\) −18.6584 18.6584i −1.03818 1.03818i
\(324\) −0.991146 + 1.73713i −0.0550636 + 0.0965074i
\(325\) −7.85487 32.7962i −0.435710 1.81920i
\(326\) 25.8033 + 6.84343i 1.42911 + 0.379023i
\(327\) 5.12737 0.283544
\(328\) −12.7305 + 0.0974780i −0.702924 + 0.00538232i
\(329\) 22.7885i 1.25637i
\(330\) −7.19495 + 1.84477i −0.396069 + 0.101551i
\(331\) −9.12552 9.12552i −0.501584 0.501584i 0.410346 0.911930i \(-0.365408\pi\)
−0.911930 + 0.410346i \(0.865408\pi\)
\(332\) 14.3255 3.91698i 0.786211 0.214972i
\(333\) 2.01181 + 2.01181i 0.110246 + 0.110246i
\(334\) 15.6572 9.09303i 0.856722 0.497548i
\(335\) −13.6671 + 7.64906i −0.746711 + 0.417913i
\(336\) −2.24335 + 8.72775i −0.122385 + 0.476138i
\(337\) 4.62620i 0.252005i −0.992030 0.126002i \(-0.959785\pi\)
0.992030 0.126002i \(-0.0402147\pi\)
\(338\) 23.0764 + 39.7350i 1.25519 + 2.16130i
\(339\) −0.452002 + 0.452002i −0.0245494 + 0.0245494i
\(340\) 22.3108 21.9454i 1.20998 1.19016i
\(341\) 6.53276 + 6.53276i 0.353769 + 0.353769i
\(342\) −5.15448 1.36705i −0.278722 0.0739215i
\(343\) 20.1059 1.08562
\(344\) 20.3740 + 20.0643i 1.09849 + 1.08180i
\(345\) 8.62114 4.82500i 0.464146 0.259769i
\(346\) −24.8026 6.57804i −1.33340 0.353637i
\(347\) 16.1909 16.1909i 0.869173 0.869173i −0.123208 0.992381i \(-0.539318\pi\)
0.992381 + 0.123208i \(0.0393182\pi\)
\(348\) 3.63438 6.36981i 0.194823 0.341458i
\(349\) 21.6447 21.6447i 1.15862 1.15862i 0.173842 0.984774i \(-0.444382\pi\)
0.984774 0.173842i \(-0.0556182\pi\)
\(350\) 15.9255 + 0.384986i 0.851253 + 0.0205784i
\(351\) −6.74474 −0.360007
\(352\) 3.60244 + 12.7894i 0.192011 + 0.681676i
\(353\) 26.1933i 1.39413i −0.717009 0.697064i \(-0.754489\pi\)
0.717009 0.697064i \(-0.245511\pi\)
\(354\) 5.67191 + 9.76638i 0.301458 + 0.519077i
\(355\) −5.01788 1.41666i −0.266322 0.0751883i
\(356\) −27.2903 15.5709i −1.44638 0.825255i
\(357\) 11.1475 11.1475i 0.589991 0.589991i
\(358\) 2.36487 8.91677i 0.124987 0.471266i
\(359\) 5.73157i 0.302501i −0.988495 0.151250i \(-0.951670\pi\)
0.988495 0.151250i \(-0.0483300\pi\)
\(360\) 1.67173 6.09962i 0.0881081 0.321478i
\(361\) 4.78125i 0.251645i
\(362\) −7.96601 2.11271i −0.418684 0.111042i
\(363\) 3.87703 3.87703i 0.203491 0.203491i
\(364\) −29.3139 + 8.01523i −1.53646 + 0.420112i
\(365\) 1.32611 4.69717i 0.0694119 0.245861i
\(366\) −8.65646 + 5.02731i −0.452481 + 0.262782i
\(367\) 20.9879i 1.09556i 0.836623 + 0.547778i \(0.184526\pi\)
−0.836623 + 0.547778i \(0.815474\pi\)
\(368\) −8.99229 15.2143i −0.468756 0.793098i
\(369\) 4.50104 0.234315
\(370\) −7.74261 4.58249i −0.402519 0.238232i
\(371\) 1.46278 1.46278i 0.0759438 0.0759438i
\(372\) −7.58808 + 2.07479i −0.393423 + 0.107573i
\(373\) −12.9141 + 12.9141i −0.668667 + 0.668667i −0.957407 0.288740i \(-0.906764\pi\)
0.288740 + 0.957407i \(0.406764\pi\)
\(374\) 5.95891 22.4682i 0.308128 1.16180i
\(375\) −11.1714 0.448018i −0.576887 0.0231356i
\(376\) −28.6097 + 0.219066i −1.47543 + 0.0112975i
\(377\) 24.7320 1.27376
\(378\) 0.816748 3.07956i 0.0420090 0.158396i
\(379\) 8.07361 + 8.07361i 0.414713 + 0.414713i 0.883377 0.468663i \(-0.155264\pi\)
−0.468663 + 0.883377i \(0.655264\pi\)
\(380\) 16.8628 + 0.139228i 0.865046 + 0.00714224i
\(381\) 12.4132 12.4132i 0.635945 0.635945i
\(382\) −1.16595 + 0.677133i −0.0596550 + 0.0346451i
\(383\) 9.23276i 0.471772i 0.971781 + 0.235886i \(0.0757992\pi\)
−0.971781 + 0.235886i \(0.924201\pi\)
\(384\) −10.9788 2.73250i −0.560258 0.139442i
\(385\) 10.3253 5.77877i 0.526226 0.294513i
\(386\) 3.42463 + 5.89683i 0.174309 + 0.300141i
\(387\) −7.14876 7.14876i −0.363392 0.363392i
\(388\) −8.01866 4.57516i −0.407086 0.232268i
\(389\) −6.32362 6.32362i −0.320620 0.320620i 0.528385 0.849005i \(-0.322798\pi\)
−0.849005 + 0.528385i \(0.822798\pi\)
\(390\) 20.6604 5.29728i 1.04618 0.268238i
\(391\) 30.9179i 1.56359i
\(392\) 0.0416809 + 5.44347i 0.00210520 + 0.274937i
\(393\) 1.16842 0.0589392
\(394\) 1.26977 4.78769i 0.0639700 0.241200i
\(395\) 3.87885 13.7391i 0.195166 0.691290i
\(396\) −1.23900 4.53135i −0.0622619 0.227709i
\(397\) −1.07806 1.07806i −0.0541061 0.0541061i 0.679536 0.733642i \(-0.262181\pi\)
−0.733642 + 0.679536i \(0.762181\pi\)
\(398\) −12.3889 21.3323i −0.621001 1.06929i
\(399\) 8.49504 0.425284
\(400\) −0.330237 + 19.9973i −0.0165118 + 0.999864i
\(401\) 37.0966 1.85252 0.926258 0.376891i \(-0.123007\pi\)
0.926258 + 0.376891i \(0.123007\pi\)
\(402\) −4.97462 8.56573i −0.248112 0.427220i
\(403\) −18.7589 18.7589i −0.934449 0.934449i
\(404\) −3.10970 + 0.850280i −0.154714 + 0.0423030i
\(405\) −0.607542 + 2.15195i −0.0301890 + 0.106931i
\(406\) −2.99489 + 11.2923i −0.148634 + 0.560427i
\(407\) −6.68274 −0.331251
\(408\) 14.1023 + 13.8880i 0.698168 + 0.687557i
\(409\) 17.3422i 0.857518i −0.903419 0.428759i \(-0.858951\pi\)
0.903419 0.428759i \(-0.141049\pi\)
\(410\) −13.7876 + 3.53510i −0.680919 + 0.174586i
\(411\) −6.31062 6.31062i −0.311280 0.311280i
\(412\) −4.07616 + 7.14408i −0.200818 + 0.351964i
\(413\) −12.7218 12.7218i −0.626000 0.626000i
\(414\) 3.13798 + 5.40324i 0.154223 + 0.265555i
\(415\) 14.4894 8.10927i 0.711254 0.398068i
\(416\) −10.3445 36.7249i −0.507180 1.80059i
\(417\) 6.84010i 0.334961i
\(418\) 10.8315 6.29048i 0.529785 0.307677i
\(419\) −20.4718 + 20.4718i −1.00011 + 1.00011i −0.000110566 1.00000i \(0.500035\pi\)
−1.00000 0.000110566i \(0.999965\pi\)
\(420\) −0.0831821 + 10.0748i −0.00405887 + 0.491598i
\(421\) −10.6143 10.6143i −0.517308 0.517308i 0.399448 0.916756i \(-0.369202\pi\)
−0.916756 + 0.399448i \(0.869202\pi\)
\(422\) 2.77443 10.4610i 0.135057 0.509236i
\(423\) 10.1154 0.491826
\(424\) 1.85050 + 1.82238i 0.0898684 + 0.0885026i
\(425\) 18.2978 29.8230i 0.887573 1.44663i
\(426\) 0.845359 3.18744i 0.0409578 0.154432i
\(427\) 11.2760 11.2760i 0.545685 0.545685i
\(428\) 3.71975 + 13.6041i 0.179801 + 0.657581i
\(429\) 11.2022 11.2022i 0.540848 0.540848i
\(430\) 27.5126 + 16.2834i 1.32678 + 0.785256i
\(431\) 17.9747 0.865812 0.432906 0.901439i \(-0.357488\pi\)
0.432906 + 0.901439i \(0.357488\pi\)
\(432\) 3.87407 + 0.995778i 0.186391 + 0.0479094i
\(433\) 23.1120i 1.11069i 0.831619 + 0.555347i \(0.187414\pi\)
−0.831619 + 0.555347i \(0.812586\pi\)
\(434\) 10.8367 6.29349i 0.520177 0.302097i
\(435\) 2.22777 7.89089i 0.106813 0.378339i
\(436\) −2.70465 9.89164i −0.129529 0.473724i
\(437\) −11.7806 + 11.7806i −0.563541 + 0.563541i
\(438\) 2.98372 + 0.791329i 0.142568 + 0.0378112i
\(439\) 2.65049i 0.126501i −0.997998 0.0632505i \(-0.979853\pi\)
0.997998 0.0632505i \(-0.0201467\pi\)
\(440\) 7.35418 + 12.9073i 0.350597 + 0.615331i
\(441\) 1.92461i 0.0916482i
\(442\) −17.1111 + 64.5177i −0.813892 + 3.06880i
\(443\) −0.977227 + 0.977227i −0.0464294 + 0.0464294i −0.729940 0.683511i \(-0.760452\pi\)
0.683511 + 0.729940i \(0.260452\pi\)
\(444\) 2.81993 4.94236i 0.133828 0.234554i
\(445\) −33.8071 9.54448i −1.60261 0.452452i
\(446\) 12.9712 + 22.3350i 0.614206 + 1.05759i
\(447\) 2.10838i 0.0997231i
\(448\) 18.0208 0.275988i 0.851402 0.0130392i
\(449\) −19.6612 −0.927867 −0.463934 0.885870i \(-0.653562\pi\)
−0.463934 + 0.885870i \(0.653562\pi\)
\(450\) 0.170887 7.06900i 0.00805571 0.333236i
\(451\) −7.47570 + 7.47570i −0.352017 + 0.352017i
\(452\) 1.11042 + 0.633568i 0.0522299 + 0.0298005i
\(453\) −6.79911 + 6.79911i −0.319450 + 0.319450i
\(454\) −4.32590 1.14730i −0.203024 0.0538452i
\(455\) −29.6493 + 16.5938i −1.38998 + 0.777931i
\(456\) 0.0816628 + 10.6651i 0.00382421 + 0.499437i
\(457\) −25.9752 −1.21507 −0.607535 0.794293i \(-0.707841\pi\)
−0.607535 + 0.794293i \(0.707841\pi\)
\(458\) 12.3911 + 3.28631i 0.578998 + 0.153559i
\(459\) −4.94817 4.94817i −0.230961 0.230961i
\(460\) −13.8559 14.0866i −0.646035 0.656792i
\(461\) −1.94218 + 1.94218i −0.0904565 + 0.0904565i −0.750887 0.660431i \(-0.770374\pi\)
0.660431 + 0.750887i \(0.270374\pi\)
\(462\) 3.75827 + 6.47131i 0.174850 + 0.301072i
\(463\) 12.7805i 0.593960i 0.954884 + 0.296980i \(0.0959795\pi\)
−0.954884 + 0.296980i \(0.904021\pi\)
\(464\) −14.2056 3.65137i −0.659481 0.169511i
\(465\) −7.67489 + 4.29541i −0.355915 + 0.199195i
\(466\) −3.27713 + 1.90322i −0.151810 + 0.0881650i
\(467\) −28.2154 28.2154i −1.30565 1.30565i −0.924522 0.381129i \(-0.875535\pi\)
−0.381129 0.924522i \(-0.624465\pi\)
\(468\) 3.55780 + 13.0118i 0.164459 + 0.601472i
\(469\) 11.1578 + 11.1578i 0.515222 + 0.515222i
\(470\) −30.9853 + 7.94456i −1.42925 + 0.366455i
\(471\) 22.6497i 1.04364i
\(472\) 15.8493 16.0938i 0.729521 0.740779i
\(473\) 23.7465 1.09186
\(474\) 8.72732 + 2.31462i 0.400859 + 0.106314i
\(475\) 18.3353 4.39142i 0.841283 0.201492i
\(476\) −27.3859 15.6254i −1.25523 0.716190i
\(477\) −0.649299 0.649299i −0.0297294 0.0297294i
\(478\) −31.8359 + 18.4890i −1.45614 + 0.845665i
\(479\) −22.6500 −1.03490 −0.517452 0.855712i \(-0.673119\pi\)
−0.517452 + 0.855712i \(0.673119\pi\)
\(480\) −12.6491 0.00758190i −0.577350 0.000346065i
\(481\) 19.1896 0.874970
\(482\) 7.18363 4.17195i 0.327205 0.190027i
\(483\) −7.03833 7.03833i −0.320255 0.320255i
\(484\) −9.52461 5.43440i −0.432937 0.247018i
\(485\) −9.93347 2.80443i −0.451056 0.127343i
\(486\) −1.36696 0.362538i −0.0620063 0.0164450i
\(487\) −20.1202 −0.911733 −0.455866 0.890048i \(-0.650671\pi\)
−0.455866 + 0.890048i \(0.650671\pi\)
\(488\) 14.2648 + 14.0480i 0.645739 + 0.635925i
\(489\) 18.8765i 0.853624i
\(490\) 1.51158 + 5.89546i 0.0682863 + 0.266330i
\(491\) 20.4434 + 20.4434i 0.922596 + 0.922596i 0.997212 0.0746163i \(-0.0237732\pi\)
−0.0746163 + 0.997212i \(0.523773\pi\)
\(492\) −2.37427 8.68334i −0.107040 0.391475i
\(493\) 18.1442 + 18.1442i 0.817174 + 0.817174i
\(494\) −31.1028 + 18.0632i −1.39938 + 0.812702i
\(495\) −2.56508 4.58319i −0.115292 0.205999i
\(496\) 8.00531 + 13.5444i 0.359449 + 0.608160i
\(497\) 5.25319i 0.235638i
\(498\) 5.27392 + 9.08110i 0.236330 + 0.406934i
\(499\) 26.7236 26.7236i 1.19631 1.19631i 0.221052 0.975262i \(-0.429051\pi\)
0.975262 0.221052i \(-0.0709489\pi\)
\(500\) 5.02850 + 21.7879i 0.224881 + 0.974386i
\(501\) 9.05304 + 9.05304i 0.404460 + 0.404460i
\(502\) 16.3175 + 4.32765i 0.728284 + 0.193152i
\(503\) −17.4692 −0.778911 −0.389456 0.921045i \(-0.627337\pi\)
−0.389456 + 0.921045i \(0.627337\pi\)
\(504\) −6.37187 + 0.0487897i −0.283826 + 0.00217327i
\(505\) −3.14528 + 1.76032i −0.139963 + 0.0783334i
\(506\) −14.1859 3.76233i −0.630642 0.167256i
\(507\) −22.9749 + 22.9749i −1.02035 + 1.02035i
\(508\) −30.4951 17.3994i −1.35300 0.771974i
\(509\) 22.1370 22.1370i 0.981205 0.981205i −0.0186215 0.999827i \(-0.505928\pi\)
0.999827 + 0.0186215i \(0.00592774\pi\)
\(510\) 19.0435 + 11.2709i 0.843259 + 0.499085i
\(511\) −4.91744 −0.217535
\(512\) 0.519722 + 22.6214i 0.0229687 + 0.999736i
\(513\) 3.77078i 0.166484i
\(514\) 15.7679 + 27.1506i 0.695494 + 1.19756i
\(515\) −2.49856 + 8.85005i −0.110100 + 0.389980i
\(516\) −10.0203 + 17.5622i −0.441121 + 0.773132i
\(517\) −16.8004 + 16.8004i −0.738882 + 0.738882i
\(518\) −2.32375 + 8.76173i −0.102100 + 0.384968i
\(519\) 18.1444i 0.796451i
\(520\) −21.1177 37.0635i −0.926071 1.62534i
\(521\) 20.7634i 0.909663i 0.890577 + 0.454832i \(0.150301\pi\)
−0.890577 + 0.454832i \(0.849699\pi\)
\(522\) 5.01242 + 1.32937i 0.219388 + 0.0581850i
\(523\) 25.9884 25.9884i 1.13640 1.13640i 0.147304 0.989091i \(-0.452941\pi\)
0.989091 0.147304i \(-0.0470595\pi\)
\(524\) −0.616335 2.25410i −0.0269247 0.0984710i
\(525\) 2.62367 + 10.9545i 0.114506 + 0.478094i
\(526\) 0.568000 0.329871i 0.0247660 0.0143830i
\(527\) 27.5244i 1.19898i
\(528\) −8.08824 + 4.78050i −0.351996 + 0.208045i
\(529\) −3.47907 −0.151264
\(530\) 2.49889 + 1.47897i 0.108545 + 0.0642424i
\(531\) −5.64696 + 5.64696i −0.245057 + 0.245057i
\(532\) −4.48107 16.3885i −0.194279 0.710531i
\(533\) 21.4666 21.4666i 0.929821 0.929821i
\(534\) 5.69546 21.4748i 0.246467 0.929307i
\(535\) 7.70095 + 13.7598i 0.332941 + 0.594887i
\(536\) −13.9008 + 14.1153i −0.600423 + 0.609689i
\(537\) 6.52309 0.281492
\(538\) 2.43127 9.16716i 0.104820 0.395224i
\(539\) 3.19655 + 3.19655i 0.137685 + 0.137685i
\(540\) 4.47198 + 0.0369229i 0.192444 + 0.00158891i
\(541\) 4.86704 4.86704i 0.209250 0.209250i −0.594698 0.803949i \(-0.702729\pi\)
0.803949 + 0.594698i \(0.202729\pi\)
\(542\) 14.7262 8.55239i 0.632546 0.367356i
\(543\) 5.82756i 0.250085i
\(544\) 19.3536 34.5317i 0.829779 1.48054i
\(545\) −5.59940 10.0048i −0.239852 0.428559i
\(546\) −10.7919 18.5825i −0.461852 0.795256i
\(547\) 16.2487 + 16.2487i 0.694742 + 0.694742i 0.963272 0.268529i \(-0.0865376\pi\)
−0.268529 + 0.963272i \(0.586538\pi\)
\(548\) −8.84555 + 15.5032i −0.377863 + 0.662262i
\(549\) −5.00520 5.00520i −0.213617 0.213617i
\(550\) 11.4570 + 12.0246i 0.488526 + 0.512731i
\(551\) 13.8269i 0.589045i
\(552\) 8.76858 8.90390i 0.373216 0.378975i
\(553\) −14.3834 −0.611644
\(554\) −9.21641 + 34.7507i −0.391568 + 1.47641i
\(555\) 1.72853 6.12256i 0.0733721 0.259888i
\(556\) 13.1958 3.60810i 0.559627 0.153018i
\(557\) 0.616853 + 0.616853i 0.0261369 + 0.0261369i 0.720054 0.693918i \(-0.244117\pi\)
−0.693918 + 0.720054i \(0.744117\pi\)
\(558\) −2.79355 4.81018i −0.118261 0.203631i
\(559\) −68.1884 −2.88406
\(560\) 19.4800 5.15389i 0.823178 0.217792i
\(561\) 16.4367 0.693956
\(562\) 6.80906 + 11.7244i 0.287223 + 0.494565i
\(563\) 17.4063 + 17.4063i 0.733587 + 0.733587i 0.971328 0.237742i \(-0.0764072\pi\)
−0.237742 + 0.971328i \(0.576407\pi\)
\(564\) −5.33578 19.5144i −0.224677 0.821705i
\(565\) 1.37559 + 0.388358i 0.0578714 + 0.0163383i
\(566\) −2.60979 + 9.84024i −0.109697 + 0.413616i
\(567\) 2.25286 0.0946113
\(568\) −6.59509 + 0.0504989i −0.276724 + 0.00211889i
\(569\) 1.57959i 0.0662197i 0.999452 + 0.0331098i \(0.0105411\pi\)
−0.999452 + 0.0331098i \(0.989459\pi\)
\(570\) 2.96155 + 11.5506i 0.124046 + 0.483802i
\(571\) 24.6949 + 24.6949i 1.03345 + 1.03345i 0.999421 + 0.0340299i \(0.0108341\pi\)
0.0340299 + 0.999421i \(0.489166\pi\)
\(572\) −27.5202 15.7020i −1.15068 0.656535i
\(573\) −0.674155 0.674155i −0.0281632 0.0281632i
\(574\) 7.20190 + 12.4008i 0.300601 + 0.517601i
\(575\) −18.8296 11.5528i −0.785250 0.481787i
\(576\) −0.122506 7.99906i −0.00510440 0.333294i
\(577\) 33.6673i 1.40159i −0.713363 0.700795i \(-0.752829\pi\)
0.713363 0.700795i \(-0.247171\pi\)
\(578\) −39.0958 + 22.7052i −1.62617 + 0.944413i
\(579\) −3.40957 + 3.40957i −0.141697 + 0.141697i
\(580\) −16.3981 0.135391i −0.680894 0.00562179i
\(581\) −11.8292 11.8292i −0.490757 0.490757i
\(582\) 1.67348 6.30991i 0.0693682 0.261554i
\(583\) 2.15682 0.0893263
\(584\) −0.0472713 6.17357i −0.00195610 0.255464i
\(585\) 7.36567 + 13.1607i 0.304533 + 0.544128i
\(586\) −2.17937 + 8.21734i −0.0900288 + 0.339455i
\(587\) −30.6327 + 30.6327i −1.26435 + 1.26435i −0.315385 + 0.948964i \(0.602134\pi\)
−0.948964 + 0.315385i \(0.897866\pi\)
\(588\) −3.71293 + 1.01522i −0.153119 + 0.0418669i
\(589\) 10.4875 10.4875i 0.432132 0.432132i
\(590\) 12.8626 21.7328i 0.529546 0.894726i
\(591\) 3.50245 0.144071
\(592\) −11.0222 2.83311i −0.453010 0.116440i
\(593\) 25.1477i 1.03269i 0.856380 + 0.516347i \(0.172708\pi\)
−0.856380 + 0.516347i \(0.827292\pi\)
\(594\) 2.87248 1.66822i 0.117859 0.0684478i
\(595\) −33.9255 9.57791i −1.39081 0.392656i
\(596\) −4.06746 + 1.11216i −0.166610 + 0.0455557i
\(597\) 12.3344 12.3344i 0.504815 0.504815i
\(598\) 40.7352 + 10.8036i 1.66578 + 0.441792i
\(599\) 18.0767i 0.738594i −0.929311 0.369297i \(-0.879598\pi\)
0.929311 0.369297i \(-0.120402\pi\)
\(600\) −13.7275 + 3.39917i −0.560425 + 0.138771i
\(601\) 26.5291i 1.08214i −0.840977 0.541072i \(-0.818019\pi\)
0.840977 0.541072i \(-0.181981\pi\)
\(602\) 8.25721 31.1340i 0.336539 1.26893i
\(603\) 4.95274 4.95274i 0.201691 0.201691i
\(604\) 16.7032 + 9.53026i 0.679645 + 0.387781i
\(605\) −11.7990 3.33112i −0.479699 0.135429i
\(606\) −1.14484 1.97128i −0.0465059 0.0800779i
\(607\) 28.3496i 1.15068i −0.817916 0.575338i \(-0.804871\pi\)
0.817916 0.575338i \(-0.195129\pi\)
\(608\) 20.5318 5.78328i 0.832673 0.234543i
\(609\) −8.26091 −0.334749
\(610\) 19.2630 + 11.4008i 0.779935 + 0.461607i
\(611\) 48.2427 48.2427i 1.95169 1.95169i
\(612\) −6.93581 + 12.1561i −0.280364 + 0.491380i
\(613\) 3.24941 3.24941i 0.131243 0.131243i −0.638434 0.769677i \(-0.720417\pi\)
0.769677 + 0.638434i \(0.220417\pi\)
\(614\) 0.297430 + 0.0788829i 0.0120033 + 0.00318346i
\(615\) −4.91542 8.78269i −0.198209 0.354152i
\(616\) 10.5019 10.6640i 0.423133 0.429663i
\(617\) 18.4370 0.742245 0.371123 0.928584i \(-0.378973\pi\)
0.371123 + 0.928584i \(0.378973\pi\)
\(618\) −5.62170 1.49096i −0.226138 0.0599753i
\(619\) 9.47769 + 9.47769i 0.380941 + 0.380941i 0.871441 0.490500i \(-0.163186\pi\)
−0.490500 + 0.871441i \(0.663186\pi\)
\(620\) 12.3351 + 12.5405i 0.495389 + 0.503638i
\(621\) −3.12417 + 3.12417i −0.125369 + 0.125369i
\(622\) −24.7310 42.5839i −0.991621 1.70746i
\(623\) 35.3924i 1.41797i
\(624\) 23.2255 13.7273i 0.929765 0.549532i
\(625\) 11.3256 + 22.2874i 0.453025 + 0.891498i
\(626\) 21.2072 12.3162i 0.847609 0.492256i
\(627\) 6.26281 + 6.26281i 0.250113 + 0.250113i
\(628\) 43.6955 11.9476i 1.74364 0.476759i
\(629\) 14.0782 + 14.0782i 0.561333 + 0.561333i
\(630\) −6.90095 + 1.76939i −0.274941 + 0.0704941i
\(631\) 10.6343i 0.423346i 0.977341 + 0.211673i \(0.0678912\pi\)
−0.977341 + 0.211673i \(0.932109\pi\)
\(632\) −0.138268 18.0576i −0.00549999 0.718291i
\(633\) 7.65281 0.304172
\(634\) −19.6188 5.20322i −0.779163 0.206646i
\(635\) −37.7772 10.6653i −1.49914 0.423240i
\(636\) −0.910117 + 1.59512i −0.0360885 + 0.0632505i
\(637\) −9.17895 9.17895i −0.363683 0.363683i
\(638\) −10.5330 + 6.11711i −0.417004 + 0.242179i
\(639\) 2.33178 0.0922439
\(640\) 6.65768 + 24.4065i 0.263168 + 0.964750i
\(641\) −21.4256 −0.846261 −0.423130 0.906069i \(-0.639069\pi\)
−0.423130 + 0.906069i \(0.639069\pi\)
\(642\) −8.62385 + 5.00837i −0.340356 + 0.197665i
\(643\) 28.7046 + 28.7046i 1.13200 + 1.13200i 0.989845 + 0.142152i \(0.0454022\pi\)
0.142152 + 0.989845i \(0.454598\pi\)
\(644\) −9.86557 + 17.2909i −0.388758 + 0.681357i
\(645\) −6.14217 + 21.7559i −0.241848 + 0.856639i
\(646\) −36.0699 9.56629i −1.41915 0.376381i
\(647\) 36.8695 1.44949 0.724746 0.689017i \(-0.241957\pi\)
0.724746 + 0.689017i \(0.241957\pi\)
\(648\) 0.0216568 + 2.82834i 0.000850758 + 0.111108i
\(649\) 18.7579i 0.736311i
\(650\) −32.8988 34.5288i −1.29040 1.35433i
\(651\) 6.26582 + 6.26582i 0.245577 + 0.245577i
\(652\) 36.4162 9.95720i 1.42617 0.389954i
\(653\) 27.8096 + 27.8096i 1.08828 + 1.08828i 0.995706 + 0.0925688i \(0.0295078\pi\)
0.0925688 + 0.995706i \(0.470492\pi\)
\(654\) 6.27044 3.64161i 0.245194 0.142398i
\(655\) −1.27599 2.27989i −0.0498571 0.0890829i
\(656\) −15.4994 + 9.16079i −0.605148 + 0.357669i
\(657\) 2.18275i 0.0851572i
\(658\) 16.1851 + 27.8689i 0.630961 + 1.08644i
\(659\) −11.6956 + 11.6956i −0.455596 + 0.455596i −0.897207 0.441611i \(-0.854407\pi\)
0.441611 + 0.897207i \(0.354407\pi\)
\(660\) −7.48876 + 7.36611i −0.291500 + 0.286725i
\(661\) 29.7275 + 29.7275i 1.15627 + 1.15627i 0.985272 + 0.170994i \(0.0546979\pi\)
0.170994 + 0.985272i \(0.445302\pi\)
\(662\) −17.6411 4.67871i −0.685643 0.181843i
\(663\) −47.1981 −1.83302
\(664\) 14.7372 14.9646i 0.571913 0.580739i
\(665\) −9.27711 16.5760i −0.359751 0.642790i
\(666\) 3.88915 + 1.03146i 0.150702 + 0.0399684i
\(667\) 11.4559 11.4559i 0.443574 0.443574i
\(668\) 12.6896 22.2404i 0.490974 0.860506i
\(669\) −12.9142 + 12.9142i −0.499292 + 0.499292i
\(670\) −11.2813 + 19.0611i −0.435837 + 0.736393i
\(671\) 16.6261 0.641843
\(672\) 3.45524 + 12.2668i 0.133289 + 0.473201i
\(673\) 19.4197i 0.748575i 0.927313 + 0.374287i \(0.122113\pi\)
−0.927313 + 0.374287i \(0.877887\pi\)
\(674\) −3.28567 5.65754i −0.126559 0.217920i
\(675\) 4.86248 1.16459i 0.187157 0.0448252i
\(676\) 56.4420 + 32.2038i 2.17085 + 1.23861i
\(677\) 22.0550 22.0550i 0.847643 0.847643i −0.142196 0.989839i \(-0.545416\pi\)
0.989839 + 0.142196i \(0.0454162\pi\)
\(678\) −0.231744 + 0.873796i −0.00890008 + 0.0335579i
\(679\) 10.3993i 0.399088i
\(680\) 11.6984 42.6837i 0.448614 1.63685i
\(681\) 3.16462i 0.121269i
\(682\) 12.6289 + 3.34938i 0.483586 + 0.128254i
\(683\) 9.95729 9.95729i 0.381005 0.381005i −0.490459 0.871464i \(-0.663171\pi\)
0.871464 + 0.490459i \(0.163171\pi\)
\(684\) −7.27452 + 1.98906i −0.278148 + 0.0760535i
\(685\) −5.42205 + 19.2052i −0.207166 + 0.733794i
\(686\) 24.5883 14.2798i 0.938784 0.545207i
\(687\) 9.06474i 0.345842i
\(688\) 39.1663 + 10.0672i 1.49320 + 0.383808i
\(689\) −6.19334 −0.235947
\(690\) 7.11624 12.0237i 0.270911 0.457733i
\(691\) −30.1664 + 30.1664i −1.14758 + 1.14758i −0.160556 + 0.987027i \(0.551329\pi\)
−0.987027 + 0.160556i \(0.948671\pi\)
\(692\) −35.0039 + 9.57105i −1.33065 + 0.363837i
\(693\) −3.74174 + 3.74174i −0.142137 + 0.142137i
\(694\) 8.30117 31.2997i 0.315108 1.18812i
\(695\) 13.3468 7.46981i 0.506272 0.283346i
\(696\) −0.0794121 10.3711i −0.00301011 0.393116i
\(697\) 31.4973 1.19304
\(698\) 11.0974 41.8429i 0.420042 1.58378i
\(699\) −1.89485 1.89485i −0.0716698 0.0716698i
\(700\) 19.7493 10.8400i 0.746453 0.409712i
\(701\) −2.10793 + 2.10793i −0.0796155 + 0.0796155i −0.745793 0.666178i \(-0.767929\pi\)
0.666178 + 0.745793i \(0.267929\pi\)
\(702\) −8.24838 + 4.79032i −0.311315 + 0.180799i
\(703\) 10.7283i 0.404626i
\(704\) 13.4890 + 13.0820i 0.508384 + 0.493047i
\(705\) −11.0466 19.7377i −0.416039 0.743364i
\(706\) −18.6033 32.0327i −0.700143 1.20557i
\(707\) 2.56782 + 2.56782i 0.0965729 + 0.0965729i
\(708\) 13.8728 + 7.91530i 0.521370 + 0.297475i
\(709\) −29.5759 29.5759i −1.11075 1.11075i −0.993050 0.117697i \(-0.962449\pi\)
−0.117697 0.993050i \(-0.537551\pi\)
\(710\) −7.14270 + 1.83137i −0.268061 + 0.0687302i
\(711\) 6.38450i 0.239437i
\(712\) −44.4332 + 0.340227i −1.66521 + 0.0127506i
\(713\) −17.3783 −0.650824
\(714\) 5.71541 21.5501i 0.213894 0.806491i
\(715\) −34.0919 9.62488i −1.27496 0.359950i
\(716\) −3.44088 12.5842i −0.128592 0.470295i
\(717\) −18.4076 18.4076i −0.687446 0.687446i
\(718\) −4.07074 7.00935i −0.151919 0.261587i
\(719\) 15.2528 0.568833 0.284417 0.958701i \(-0.408200\pi\)
0.284417 + 0.958701i \(0.408200\pi\)
\(720\) −2.28771 8.64676i −0.0852578 0.322246i
\(721\) 9.26506 0.345049
\(722\) 3.39579 + 5.84716i 0.126378 + 0.217609i
\(723\) 4.15360 + 4.15360i 0.154474 + 0.154474i
\(724\) −11.2424 + 3.07399i −0.417822 + 0.114244i
\(725\) −17.8300 + 4.27039i −0.662190 + 0.158598i
\(726\) 1.98777 7.49494i 0.0737732 0.278163i
\(727\) 22.5396 0.835947 0.417973 0.908459i \(-0.362740\pi\)
0.417973 + 0.908459i \(0.362740\pi\)
\(728\) −30.1563 + 30.6217i −1.11767 + 1.13492i
\(729\) 1.00000i 0.0370370i
\(730\) −1.71432 6.68619i −0.0634499 0.247467i
\(731\) −50.0254 50.0254i −1.85025 1.85025i
\(732\) −7.01575 + 12.2962i −0.259310 + 0.454479i
\(733\) −8.88368 8.88368i −0.328126 0.328126i 0.523747 0.851874i \(-0.324534\pi\)
−0.851874 + 0.523747i \(0.824534\pi\)
\(734\) 14.9062 + 25.6668i 0.550198 + 0.947379i
\(735\) −3.75541 + 2.10180i −0.138520 + 0.0775259i
\(736\) −21.8026 12.2195i −0.803655 0.450415i
\(737\) 16.4518i 0.606011i
\(738\) 5.50449 3.19678i 0.202623 0.117675i
\(739\) −3.00557 + 3.00557i −0.110562 + 0.110562i −0.760223 0.649662i \(-0.774911\pi\)
0.649662 + 0.760223i \(0.274911\pi\)
\(740\) −12.7233 0.105050i −0.467719 0.00386172i
\(741\) −17.9838 17.9838i −0.660650 0.660650i
\(742\) 0.749976 2.82780i 0.0275325 0.103812i
\(743\) −14.5808 −0.534919 −0.267459 0.963569i \(-0.586184\pi\)
−0.267459 + 0.963569i \(0.586184\pi\)
\(744\) −7.80615 + 7.92662i −0.286187 + 0.290604i
\(745\) −4.11399 + 2.30248i −0.150725 + 0.0843565i
\(746\) −6.62114 + 24.9651i −0.242417 + 0.914038i
\(747\) −5.25073 + 5.25073i −0.192114 + 0.192114i
\(748\) −8.67021 31.7093i −0.317014 1.15941i
\(749\) 11.2335 11.2335i 0.410465 0.410465i
\(750\) −13.9801 + 7.38634i −0.510479 + 0.269711i
\(751\) −1.92675 −0.0703083 −0.0351541 0.999382i \(-0.511192\pi\)
−0.0351541 + 0.999382i \(0.511192\pi\)
\(752\) −34.8323 + 20.5874i −1.27020 + 0.750746i
\(753\) 11.9371i 0.435012i
\(754\) 30.2456 17.5654i 1.10148 0.639694i
\(755\) 20.6919 + 5.84176i 0.753054 + 0.212603i
\(756\) −1.18837 4.34619i −0.0432205 0.158069i
\(757\) −0.389306 + 0.389306i −0.0141496 + 0.0141496i −0.714146 0.699997i \(-0.753185\pi\)
0.699997 + 0.714146i \(0.253185\pi\)
\(758\) 15.6076 + 4.13938i 0.566894 + 0.150349i
\(759\) 10.3778i 0.376689i
\(760\) 20.7211 11.8062i 0.751632 0.428257i
\(761\) 18.0200i 0.653223i −0.945159 0.326612i \(-0.894093\pi\)
0.945159 0.326612i \(-0.105907\pi\)
\(762\) 6.36430 23.9967i 0.230554 0.869309i
\(763\) −8.16797 + 8.16797i −0.295700 + 0.295700i
\(764\) −0.944957 + 1.65618i −0.0341873 + 0.0599185i
\(765\) −4.25144 + 15.0589i −0.153711 + 0.544454i
\(766\) 6.55738 + 11.2911i 0.236928 + 0.407963i
\(767\) 53.8635i 1.94490i
\(768\) −15.3670 + 4.45578i −0.554510 + 0.160784i
\(769\) −34.9422 −1.26005 −0.630024 0.776576i \(-0.716955\pi\)
−0.630024 + 0.776576i \(0.716955\pi\)
\(770\) 8.52292 14.4004i 0.307145 0.518955i
\(771\) −15.6986 + 15.6986i −0.565371 + 0.565371i
\(772\) 8.37621 + 4.77917i 0.301466 + 0.172006i
\(773\) −9.83112 + 9.83112i −0.353601 + 0.353601i −0.861447 0.507847i \(-0.830442\pi\)
0.507847 + 0.861447i \(0.330442\pi\)
\(774\) −13.8197 3.66521i −0.496740 0.131743i
\(775\) 16.7629 + 10.2848i 0.602142