Properties

Label 240.2.bl.a.229.4
Level $240$
Weight $2$
Character 240.229
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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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 229.4
Character \(\chi\) \(=\) 240.229
Dual form 240.2.bl.a.109.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.22294 + 0.710230i) q^{2} +(-0.707107 - 0.707107i) q^{3} +(0.991146 - 1.73713i) q^{4} +(-2.15195 + 0.607542i) q^{5} +(1.36696 + 0.362538i) q^{6} +2.25286 q^{7} +(0.0216568 + 2.82834i) q^{8} +1.00000i q^{9} +O(q^{10})\) \(q+(-1.22294 + 0.710230i) q^{2} +(-0.707107 - 0.707107i) q^{3} +(0.991146 - 1.73713i) q^{4} +(-2.15195 + 0.607542i) q^{5} +(1.36696 + 0.362538i) q^{6} +2.25286 q^{7} +(0.0216568 + 2.82834i) q^{8} +1.00000i q^{9} +(2.20020 - 2.27137i) 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} +(-1.07751 + 4.34039i) 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} +(-3.16188 + 0.0503198i) q^{30} -3.93331 q^{31} +(4.93467 + 2.76568i) q^{32} +2.34884i q^{33} +(4.97003 + 8.55783i) q^{34} +(-4.84805 + 1.36871i) q^{35} +(1.73713 + 0.991146i) q^{36} +(-2.01181 + 2.01181i) q^{37} +(1.36705 - 5.15448i) q^{38} +6.74474i q^{39} +(-1.76494 - 6.07330i) q^{40} -4.50104i q^{41} +(3.07956 + 0.816748i) q^{42} +(7.14876 - 7.14876i) q^{43} +(-4.53135 + 1.23900i) q^{44} +(-0.607542 - 2.15195i) q^{45} +(5.40324 - 3.13798i) q^{46} +10.1154i q^{47} +(-0.995778 + 3.87407i) q^{48} -1.92461 q^{49} +(-3.35478 + 6.22459i) 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} +(3.83104 - 2.30720i) 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} +(4.95676 - 5.11708i) q^{70} -2.33178i q^{71} +(-2.82834 + 0.0216568i) q^{72} -2.18275 q^{73} +(1.03146 - 3.88915i) q^{74} +(-4.86248 - 1.16459i) q^{75} +(1.98906 + 7.27452i) q^{76} +(-3.74174 - 3.74174i) q^{77} +(-4.79032 - 8.24838i) q^{78} +6.38450 q^{79} +(6.47186 + 6.17374i) q^{80} -1.00000 q^{81} +(3.19678 + 5.50449i) q^{82} +(-5.25073 - 5.25073i) q^{83} +(-4.34619 + 1.18837i) q^{84} +(4.25144 + 15.0589i) q^{85} +(-3.66521 + 13.8197i) q^{86} -3.66685 q^{87} +(4.66157 - 4.73351i) q^{88} -15.7100i q^{89} +(2.27137 + 2.20020i) 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
\(5\) −2.15195 + 0.607542i −0.962382 + 0.271701i
\(6\) 1.36696 + 0.362538i 0.558057 + 0.148005i
\(7\) 2.25286 0.851502 0.425751 0.904840i \(-0.360010\pi\)
0.425751 + 0.904840i \(0.360010\pi\)
\(8\) 0.0216568 + 2.82834i 0.00765682 + 0.999971i
\(9\) 1.00000i 0.333333i
\(10\) 2.20020 2.27137i 0.695765 0.718269i
\(11\) −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 \(-0.865106\pi\)
−0.411212 0.911540i \(-0.634894\pi\)
\(14\) −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 \(-0.677443\pi\)
0.529028 0.848604i \(-0.322557\pi\)
\(18\) −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 \(0.392382\pi\)
\(20\) −1.07751 + 4.34039i −0.240940 + 0.970540i
\(21\) −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 \(-0.652378\pi\)
−0.460634 + 0.887590i \(0.652378\pi\)
\(24\) 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 \(0.139418\pi\)
\(30\) −3.16188 + 0.0503198i −0.577277 + 0.00918710i
\(31\) −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
\(35\) −4.84805 + 1.36871i −0.819470 + 0.231354i
\(36\) 1.73713 + 0.991146i 0.289522 + 0.165191i
\(37\) −2.01181 + 2.01181i −0.330739 + 0.330739i −0.852867 0.522128i \(-0.825138\pi\)
0.522128 + 0.852867i \(0.325138\pi\)
\(38\) 1.36705 5.15448i 0.221765 0.836167i
\(39\) 6.74474i 1.08002i
\(40\) −1.76494 6.07330i −0.279062 0.960273i
\(41\) 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 \(-0.469822\pi\)
0.995509 0.0946658i \(-0.0301783\pi\)
\(44\) −4.53135 + 1.23900i −0.683126 + 0.186786i
\(45\) −0.607542 2.15195i −0.0905671 0.320794i
\(46\) 5.40324 3.13798i 0.796664 0.462669i
\(47\) 10.1154i 1.47548i 0.675086 + 0.737739i \(0.264107\pi\)
−0.675086 + 0.737739i \(0.735893\pi\)
\(48\) −0.995778 + 3.87407i −0.143728 + 0.559174i
\(49\) −1.92461 −0.274945
\(50\) −3.35478 + 6.22459i −0.474437 + 0.880289i
\(51\) −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 −0.661105 0.750293i \(-0.729912\pi\)
0.750293 + 0.661105i \(0.229912\pi\)
\(54\) −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 \(0.575990\pi\)
\(60\) 3.83104 2.30720i 0.494585 0.297858i
\(61\) −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 0.941655 0.336581i \(-0.109271\pi\)
−0.336581 + 0.941655i \(0.609271\pi\)
\(68\) −12.1561 6.93581i −1.47414 0.841091i
\(69\) 3.12417 + 3.12417i 0.376106 + 0.376106i
\(70\) 4.95676 5.11708i 0.592446 0.611607i
\(71\) 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 \(-0.540771\pi\)
−0.127736 + 0.991808i \(0.540771\pi\)
\(74\) 1.03146 3.88915i 0.119905 0.452105i
\(75\) −4.86248 1.16459i −0.561471 0.134476i
\(76\) 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 \(0.383065\pi\)
\(80\) 6.47186 + 6.17374i 0.723575 + 0.690245i
\(81\) −1.00000 −0.111111
\(82\) 3.19678 + 5.50449i 0.353025 + 0.607869i
\(83\) −5.25073 5.25073i −0.576342 0.576342i 0.357551 0.933894i \(-0.383612\pi\)
−0.933894 + 0.357551i \(0.883612\pi\)
\(84\) −4.34619 + 1.18837i −0.474208 + 0.129662i
\(85\) 4.25144 + 15.0589i 0.461134 + 1.63336i
\(86\) −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 \(-0.313164\pi\)
\(90\) 2.27137 + 2.20020i 0.239423 + 0.231922i
\(91\) −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 \(0.0752940\pi\)
−0.972154 + 0.234343i \(0.924706\pi\)
\(98\) 2.35368 1.36692i 0.237757 0.138080i
\(99\) 1.66088 1.66088i 0.166925 0.166925i
\(100\) −0.318210 9.99494i −0.0318210 0.999494i
\(101\) −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 \(-0.435057\pi\)
0.202612 + 0.979259i \(0.435057\pi\)
\(104\) 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 −0.423737 0.905785i \(-0.639282\pi\)
0.905785 + 0.423737i \(0.139282\pi\)
\(108\) −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 \(0.171029\pi\)
\(110\) −7.42675 + 0.118193i −0.708113 + 0.0112693i
\(111\) 2.84512 0.270047
\(112\) −4.58516 7.75774i −0.433257 0.733037i
\(113\) 0.639228i 0.0601335i −0.999548 0.0300668i \(-0.990428\pi\)
0.999548 0.0300668i \(-0.00957199\pi\)
\(114\) −4.61142 + 2.67812i −0.431899 + 0.250829i
\(115\) 9.50786 2.68427i 0.886612 0.250310i
\(116\) −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
\(120\) −3.04647 + 5.54248i −0.278103 + 0.505956i
\(121\) 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
\(125\) −7.58255 + 8.21614i −0.678204 + 0.734874i
\(126\) −1.60005 2.75511i −0.142544 0.245444i
\(127\) 17.5549i 1.55774i 0.627184 + 0.778871i \(0.284207\pi\)
−0.627184 + 0.778871i \(0.715793\pi\)
\(128\) 9.69533 5.83099i 0.856955 0.515392i
\(129\) −10.1099 −0.890124
\(130\) −21.3260 + 0.339394i −1.87042 + 0.0297668i
\(131\) 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 \(-0.375498\pi\)
0.381239 + 0.924477i \(0.375498\pi\)
\(138\) −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 \(0.656317\pi\)
\(140\) −2.42749 + 9.77829i −0.205161 + 0.826417i
\(141\) 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 \(0.777524\pi\)
\(150\) 6.77363 2.02926i 0.553065 0.165688i
\(151\) 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
\(155\) 8.46429 2.38965i 0.679868 0.191941i
\(156\) 11.7165 + 6.68502i 0.938071 + 0.535230i
\(157\) −16.0158 16.0158i −1.27820 1.27820i −0.941676 0.336521i \(-0.890750\pi\)
−0.336521 0.941676i \(-0.609250\pi\)
\(158\) −7.80783 + 4.53446i −0.621158 + 0.360743i
\(159\) −0.918248 −0.0728218
\(160\) −12.2994 2.95358i −0.972356 0.233501i
\(161\) −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 \(-0.985176\pi\)
−0.0465557 0.998916i \(-0.514824\pi\)
\(164\) −7.81891 4.46119i −0.610554 0.348360i
\(165\) −1.42702 5.05459i −0.111093 0.393499i
\(166\) 10.1505 + 2.69208i 0.787834 + 0.208946i
\(167\) −12.8029 −0.990720 −0.495360 0.868688i \(-0.664964\pi\)
−0.495360 + 0.868688i \(0.664964\pi\)
\(168\) 4.47109 4.54009i 0.344952 0.350276i
\(169\) 32.4915i 2.49934i
\(170\) −15.8945 15.3965i −1.21905 1.18086i
\(171\) −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 0.999706 0.0242559i \(-0.00772166\pi\)
−0.0242559 + 0.999706i \(0.507722\pi\)
\(174\) 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 \(0.171613\pi\)
\(180\) −4.34039 1.07751i −0.323513 0.0803132i
\(181\) −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
\(190\) 0.189745 + 11.9227i 0.0137655 + 0.864966i
\(191\) −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 \(-0.944479\pi\)
0.984826 0.173543i \(-0.0555214\pi\)
\(194\) −3.27844 5.64511i −0.235379 0.405295i
\(195\) −4.09771 14.5143i −0.293443 1.03939i
\(196\) −1.90757 + 3.34331i −0.136255 + 0.238808i
\(197\) −2.47660 + 2.47660i −0.176451 + 0.176451i −0.789807 0.613356i \(-0.789819\pi\)
0.613356 + 0.789807i \(0.289819\pi\)
\(198\) −0.851543 + 3.21076i −0.0605166 + 0.228179i
\(199\) 17.4435i 1.23654i −0.785966 0.618270i \(-0.787834\pi\)
0.785966 0.618270i \(-0.212166\pi\)
\(200\) 7.48786 + 11.9972i 0.529472 + 0.848328i
\(201\) 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
\(205\) 2.73457 + 9.68602i 0.190991 + 0.676501i
\(206\) −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
\(210\) −7.12327 + 0.113364i −0.491553 + 0.00782283i
\(211\) 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
\(220\) 8.99849 5.41924i 0.606678 0.365365i
\(221\) −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 \(-0.790564\pi\)
0.791241 0.611505i \(-0.209436\pi\)
\(224\) 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 0.777458 0.628935i \(-0.216509\pi\)
−0.628935 + 0.777458i \(0.716509\pi\)
\(228\) 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 \(0.653178\pi\)
\(230\) −9.72105 + 10.0355i −0.640987 + 0.661719i
\(231\) 5.29162i 0.348163i
\(232\) 7.38964 + 7.27734i 0.485154 + 0.477781i
\(233\) 2.67972 0.175555 0.0877773 0.996140i \(-0.472024\pi\)
0.0877773 + 0.996140i \(0.472024\pi\)
\(234\) −2.44522 + 9.21975i −0.159849 + 0.602714i
\(235\) −6.14551 21.7678i −0.400889 1.41997i
\(236\) 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 \(0.818590\pi\)
\(240\) −0.210798 8.94179i −0.0136069 0.577190i
\(241\) 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
\(245\) 4.14167 1.16928i 0.264602 0.0747028i
\(246\) 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
\(250\) 3.43762 15.4332i 0.217414 0.976079i
\(251\) 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 \(-0.756538\pi\)
0.721480 0.692435i \(-0.243462\pi\)
\(258\) 12.3637 7.18033i 0.769732 0.447028i
\(259\) −4.53232 + 4.53232i −0.281625 + 0.281625i
\(260\) 25.8393 15.5615i 1.60249 0.965080i
\(261\) 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 \(-0.504558\pi\)
−0.0143198 + 0.999897i \(0.504558\pi\)
\(264\) −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 \(0.184461\pi\)
\(270\) −0.0503198 3.16188i −0.00306237 0.192426i
\(271\) 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
\(275\) −11.4212 2.73544i −0.688724 0.164953i
\(276\) 8.52362 2.33059i 0.513061 0.140285i
\(277\) 17.9760 17.9760i 1.08007 1.08007i 0.0835733 0.996502i \(-0.473367\pi\)
0.996502 0.0835733i \(-0.0266333\pi\)
\(278\) −9.35010 2.47979i −0.560782 0.148728i
\(279\) 3.93331i 0.235481i
\(280\) −3.97617 13.6823i −0.237622 0.817674i
\(281\) 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 −0.539441 0.842023i \(-0.681364\pi\)
0.842023 + 0.539441i \(0.181364\pi\)
\(284\) −4.05062 2.31114i −0.240360 0.137141i
\(285\) −8.11453 + 2.29091i −0.480663 + 0.135702i
\(286\) −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
\(290\) −0.184515 11.5941i −0.0108351 0.680831i
\(291\) 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 −0.571955 0.820285i \(-0.693815\pi\)
0.820285 + 0.571955i \(0.193815\pi\)
\(294\) −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
\(300\) −6.84248 + 7.29250i −0.395051 + 0.421032i
\(301\) 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 0.702703 0.711484i \(-0.251976\pi\)
−0.711484 + 0.702703i \(0.751976\pi\)
\(308\) −10.2085 + 2.79129i −0.581683 + 0.159048i
\(309\) −2.90803 2.90803i −0.165432 0.165432i
\(310\) −8.65408 + 8.93398i −0.491519 + 0.507416i
\(311\) 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 \(-0.663036\pi\)
−0.490091 + 0.871671i \(0.663036\pi\)
\(314\) 30.9611 + 8.21137i 1.74724 + 0.463395i
\(315\) −1.36871 4.84805i −0.0771180 0.273157i
\(316\) 6.32797 11.0907i 0.355976 0.623902i
\(317\) 10.1485 + 10.1485i 0.569999 + 0.569999i 0.932128 0.362129i \(-0.117950\pi\)
−0.362129 + 0.932128i \(0.617950\pi\)
\(318\) 1.12296 0.652167i 0.0629724 0.0365717i
\(319\) −8.61285 −0.482227
\(320\) 17.1392 5.12339i 0.958108 0.286406i
\(321\) −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
\(325\) −32.7962 7.85487i −1.81920 0.435710i
\(326\) 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
\(330\) 5.33508 + 5.16793i 0.293686 + 0.284485i
\(331\) −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 \(0.0402147\pi\)
−0.992030 + 0.126002i \(0.959785\pi\)
\(338\) −23.0764 39.7350i −1.25519 2.16130i
\(339\) −0.452002 + 0.452002i −0.0245494 + 0.0245494i
\(340\) 30.3730 + 7.54020i 1.64721 + 0.408925i
\(341\) 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 −0.992381 0.123208i \(-0.960682\pi\)
0.123208 + 0.992381i \(0.460682\pi\)
\(348\) −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 \(-0.0556182\pi\)
\(350\) −7.55785 + 14.0231i −0.403984 + 0.749568i
\(351\) −6.74474 −0.360007
\(352\) −3.60244 12.7894i −0.192011 0.681676i
\(353\) 26.1933i 1.39413i 0.717009 + 0.697064i \(0.245511\pi\)
−0.717009 + 0.697064i \(0.754489\pi\)
\(354\) 5.67191 + 9.76638i 0.301458 + 0.519077i
\(355\) 1.41666 + 5.01788i 0.0751883 + 0.266322i
\(356\) −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 \(-0.0483300\pi\)
\(360\) 6.07330 1.76494i 0.320091 0.0930207i
\(361\) 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
\(365\) 4.69717 1.32611i 0.245861 0.0694119i
\(366\) −8.65646 + 5.02731i −0.452481 + 0.262782i
\(367\) 20.9879i 1.09556i −0.836623 0.547778i \(-0.815474\pi\)
0.836623 0.547778i \(-0.184526\pi\)
\(368\) 8.99229 + 15.2143i 0.468756 + 0.793098i
\(369\) 4.50104 0.234315
\(370\) 0.143166 + 8.99593i 0.00744285 + 0.467676i
\(371\) 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 −0.288740 0.957407i \(-0.593236\pi\)
0.957407 + 0.288740i \(0.0932365\pi\)
\(374\) 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 \(0.655264\pi\)
\(380\) −8.69993 14.4460i −0.446297 0.741063i
\(381\) 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 \(-0.924201\pi\)
0.971781 0.235886i \(-0.0757992\pi\)
\(384\) −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 \(0.822798\pi\)
\(390\) 15.3198 + 14.8398i 0.775747 + 0.751442i
\(391\) 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
\(395\) −13.7391 + 3.87885i −0.691290 + 0.195166i
\(396\) −1.23900 4.53135i −0.0622619 0.227709i
\(397\) 1.07806 + 1.07806i 0.0541061 + 0.0541061i 0.733642 0.679536i \(-0.237819\pi\)
−0.679536 + 0.733642i \(0.737819\pi\)
\(398\) 12.3889 + 21.3323i 0.621001 + 1.06929i
\(399\) 8.49504 0.425284
\(400\) −17.6779 9.35366i −0.883896 0.467683i
\(401\) 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
\(405\) 2.15195 0.607542i 0.106931 0.0301890i
\(406\) −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 \(-0.141049\pi\)
\(410\) −10.2235 9.90321i −0.504903 0.489085i
\(411\) −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 \(0.999965\pi\)
\(420\) 8.63079 5.19780i 0.421140 0.253627i
\(421\) −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
\(430\) −0.508727 31.9662i −0.0245330 1.54155i
\(431\) 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 \(-0.812586\pi\)
0.831619 0.555347i \(-0.187414\pi\)
\(434\) 10.8367 6.29349i 0.520177 0.302097i
\(435\) 7.89089 2.22777i 0.378339 0.106813i
\(436\) −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 \(-0.0201467\pi\)
\(440\) −7.15567 + 13.0184i −0.341133 + 0.620628i
\(441\) 1.92461i 0.0916482i
\(442\) 17.1111 64.5177i 0.813892 3.06880i
\(443\) 0.977227 0.977227i 0.0464294 0.0464294i −0.683511 0.729940i \(-0.739548\pi\)
0.729940 + 0.683511i \(0.239548\pi\)
\(444\) 2.81993 4.94236i 0.133828 0.234554i
\(445\) 9.54448 + 33.8071i 0.452452 + 1.60261i
\(446\) 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 \(0.653562\pi\)
\(450\) −6.22459 3.35478i −0.293430 0.158146i
\(451\) −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 \(-0.292159\pi\)
0.607535 + 0.794293i \(0.292159\pi\)
\(458\) −12.3911 3.28631i −0.578998 0.153559i
\(459\) −4.94817 4.94817i −0.230961 0.230961i
\(460\) 4.76073 19.1769i 0.221970 0.894128i
\(461\) −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 \(-0.904021\pi\)
0.954884 0.296980i \(-0.0959795\pi\)
\(464\) −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 \(0.124465\pi\)
0.381129 + 0.924522i \(0.375535\pi\)
\(468\) −3.55780 13.0118i −0.164459 0.601472i
\(469\) 11.1578 + 11.1578i 0.515222 + 0.515222i
\(470\) 22.9757 + 22.2559i 1.05979 + 1.02659i
\(471\) 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
\(475\) −4.39142 + 18.3353i −0.201492 + 0.841283i
\(476\) −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 \(0.673119\pi\)
\(480\) 6.60852 + 10.7855i 0.301636 + 0.492289i
\(481\) 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
\(485\) −2.80443 9.93347i −0.127343 0.451056i
\(486\) −1.36696 0.362538i −0.0620063 0.0164450i
\(487\) 20.1202 0.911733 0.455866 0.890048i \(-0.349329\pi\)
0.455866 + 0.890048i \(0.349329\pi\)
\(488\) −14.2648 14.0480i −0.645739 0.635925i
\(489\) 18.8765i 0.853624i
\(490\) −4.23454 + 4.37150i −0.191297 + 0.197484i
\(491\) 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 \(-0.0709489\pi\)
\(500\) 6.75712 + 21.3153i 0.302188 + 0.953248i
\(501\) 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 \(-0.372663\pi\)
0.389456 + 0.921045i \(0.372663\pi\)
\(504\) −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 \(0.00592774\pi\)
\(510\) 0.352127 + 22.1261i 0.0155924 + 0.979760i
\(511\) −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
\(515\) −8.85005 + 2.49856i −0.389980 + 0.110100i
\(516\) −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
\(520\) −20.5476 + 37.3825i −0.901073 + 1.63933i
\(521\) 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 \(0.547059\pi\)
−0.989091 + 0.147304i \(0.952941\pi\)
\(524\) −0.616335 2.25410i −0.0269247 0.0984710i
\(525\) −10.9545 2.62367i −0.478094 0.114506i
\(526\) 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
\(530\) −0.0462060 2.90339i −0.00200706 0.126115i
\(531\) −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
\(540\) 2.30720 + 3.83104i 0.0992860 + 0.164862i
\(541\) 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 0.268529 0.963272i \(-0.413462\pi\)
−0.963272 + 0.268529i \(0.913462\pi\)
\(548\) 8.84555 15.5032i 0.377863 0.662262i
\(549\) −5.00520 5.00520i −0.213617 0.213617i
\(550\) 15.9102 4.76641i 0.678413 0.203240i
\(551\) 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
\(555\) −6.12256 + 1.72853i −0.259888 + 0.0733721i
\(556\) 13.1958 3.60810i 0.559627 0.153018i
\(557\) −0.616853 0.616853i −0.0261369 0.0261369i 0.693918 0.720054i \(-0.255883\pi\)
−0.720054 + 0.693918i \(0.755883\pi\)
\(558\) 2.79355 + 4.81018i 0.118261 + 0.203631i
\(559\) −68.1884 −2.88406
\(560\) 14.5802 + 13.9086i 0.616126 + 0.587745i
\(561\) 16.4367 0.693956
\(562\) −6.80906 11.7244i −0.287223 0.494565i
\(563\) −17.4063 17.4063i −0.733587 0.733587i 0.237742 0.971328i \(-0.423593\pi\)
−0.971328 + 0.237742i \(0.923593\pi\)
\(564\) −5.33578 19.5144i −0.224677 0.821705i
\(565\) 0.388358 + 1.37559i 0.0163383 + 0.0578714i
\(566\) −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 \(0.989459\pi\)
\(570\) 8.29647 8.56481i 0.347501 0.358741i
\(571\) 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 \(0.247171\pi\)
−0.713363 + 0.700795i \(0.752829\pi\)
\(578\) 39.0958 22.7052i 1.62617 0.944413i
\(579\) −3.40957 + 3.40957i −0.141697 + 0.141697i
\(580\) 8.46016 + 14.0478i 0.351289 + 0.583305i
\(581\) −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 \(-0.397866\pi\)
0.948964 0.315385i \(-0.102134\pi\)
\(588\) 3.71293 1.01522i 0.153119 0.0418669i
\(589\) 10.4875 10.4875i 0.432132 0.432132i
\(590\) 25.2508 0.401854i 1.03956 0.0165441i
\(591\) 3.50245 0.144071
\(592\) 11.0222 + 2.83311i 0.453010 + 0.116440i
\(593\) 25.1477i 1.03269i −0.856380 0.516347i \(-0.827292\pi\)
0.856380 0.516347i \(-0.172708\pi\)
\(594\) 2.87248 1.66822i 0.117859 0.0684478i
\(595\) 9.57791 + 33.9255i 0.392656 + 1.39081i
\(596\) −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 \(-0.120402\pi\)
\(600\) 3.18856 13.7780i 0.130173 0.562484i
\(601\) 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
\(605\) 3.33112 + 11.7990i 0.135429 + 0.479699i
\(606\) −1.14484 1.97128i −0.0465059 0.0800779i
\(607\) 28.3496i 1.15068i 0.817916 + 0.575338i \(0.195129\pi\)
−0.817916 + 0.575338i \(0.804871\pi\)
\(608\) −20.5318 + 5.78328i −0.832673 + 0.234543i
\(609\) −8.26091 −0.334749
\(610\) 0.356185 + 22.3811i 0.0144215 + 0.906185i
\(611\) 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 −0.769677 0.638434i \(-0.779583\pi\)
0.638434 + 0.769677i \(0.279583\pi\)
\(614\) 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 \(-0.621027\pi\)
−0.371123 + 0.928584i \(0.621027\pi\)
\(618\) 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 \(0.663186\pi\)
\(620\) 4.23820 17.0721i 0.170210 0.685631i
\(621\) −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
\(630\) 5.11708 + 4.95676i 0.203869 + 0.197482i
\(631\) 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
\(635\) −10.6653 37.7772i −0.423240 1.49914i
\(636\) −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
\(640\) −17.3213 + 18.4383i −0.684685 + 0.728839i
\(641\) −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 \(-0.954598\pi\)
−0.142152 0.989845i \(-0.545402\pi\)
\(644\) −9.86557 + 17.2909i −0.388758 + 0.681357i
\(645\) 21.7559 6.14217i 0.856639 0.241848i
\(646\) −36.0699 9.56629i −1.41915 0.376381i
\(647\) −36.8695 −1.44949 −0.724746 0.689017i \(-0.758043\pi\)
−0.724746 + 0.689017i \(0.758043\pi\)
\(648\) −0.0216568 2.82834i −0.000850758 0.111108i
\(649\) 18.7579i 0.736311i
\(650\) 45.6864 13.6868i 1.79197 0.536841i
\(651\) 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 \(-0.970492\pi\)
−0.0925688 0.995706i \(-0.529508\pi\)
\(654\) 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 \(0.354407\pi\)
\(660\) −10.1949 2.53091i −0.396835 0.0985156i
\(661\) 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
\(670\) 22.1465 0.352452i 0.855595 0.0136164i
\(671\) 16.6261 0.641843
\(672\) −3.45524 12.2668i −0.133289 0.473201i
\(673\) 19.4197i 0.748575i −0.927313 0.374287i \(-0.877887\pi\)
0.927313 0.374287i \(-0.122113\pi\)
\(674\) −3.28567 5.65754i −0.126559 0.217920i
\(675\) 1.16459 4.86248i 0.0448252 0.187157i
\(676\) 56.4420 + 32.2038i 2.17085 + 1.23861i
\(677\) −22.0550 + 22.0550i −0.847643 + 0.847643i −0.989839 0.142196i \(-0.954584\pi\)
0.142196 + 0.989839i \(0.454584\pi\)
\(678\) 0.231744 0.873796i 0.00890008 0.0335579i
\(679\) 10.3993i 0.399088i
\(680\) −42.4996 + 12.3507i −1.62978 + 0.473627i
\(681\) 3.16462i 0.121269i
\(682\) −12.6289 3.34938i −0.483586 0.128254i
\(683\) −9.95729 + 9.95729i −0.381005 + 0.381005i −0.871464 0.490459i \(-0.836829\pi\)
0.490459 + 0.871464i \(0.336829\pi\)
\(684\) −7.27452 + 1.98906i −0.278148 + 0.0760535i
\(685\) −19.2052 + 5.42205i −0.733794 + 0.207166i
\(686\) 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
\(690\) 13.9700 0.222325i 0.531827 0.00846379i
\(691\) −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
\(700\) −0.716884 22.5172i −0.0270957 0.851071i
\(701\) −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 \(-0.537551\pi\)
\(710\) −5.29633 5.13040i −0.198768 0.192540i
\(711\) 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
\(715\) −9.62488 34.0919i −0.359950 1.27496i
\(716\) −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 \(0.408200\pi\)
\(720\) −6.17374 + 6.47186i −0.230082 + 0.241192i
\(721\) 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
\(725\) 4.27039 17.8300i 0.158598 0.662190i
\(726\) 1.98777 7.49494i 0.0737732 0.278163i
\(727\) −22.5396 −0.835947 −0.417973 0.908459i \(-0.637260\pi\)
−0.417973 + 0.908459i \(0.637260\pi\)
\(728\) 30.1563 30.6217i 1.11767 1.13492i
\(729\) 1.00000i 0.0370370i
\(730\) −4.80249 + 4.95783i −0.177748 + 0.183497i
\(731\) −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 0.851874 0.523747i \(-0.175466\pi\)
−0.523747 + 0.851874i \(0.675466\pi\)
\(734\) 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 \(0.274911\pi\)
\(740\) −6.56426 10.8998i −0.241307 0.400683i
\(741\) −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 \(-0.413816\pi\)
0.267459 + 0.963569i \(0.413816\pi\)
\(744\) −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
\(750\) −13.3437 + 8.48214i −0.487242 + 0.309724i
\(751\) −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
\(755\) −5.84176 20.6919i −0.212603 0.753054i
\(756\) −1.18837 4.34619i −0.0432205 0.158069i
\(757\) 0.389306 0.389306i 0.0141496 0.0141496i −0.699997 0.714146i \(-0.746815\pi\)
0.714146 + 0.699997i \(0.246815\pi\)
\(758\) −15.6076 4.13938i −0.566894 0.150349i
\(759\) 10.3778i 0.376689i
\(760\) 20.8994 + 11.4876i 0.758102 + 0.416697i
\(761\) 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
\(765\) −15.0589 + 4.25144i −0.544454 + 0.153711i
\(766\) 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 \(0.716955\pi\)
\(770\) −16.7314 + 0.266273i −0.602959 + 0.00959582i
\(771\) −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 −0.507847 0.861447i \(-0.669558\pi\)
0.861447 + 0.507847i \(0.169558\pi\)
\(774\) −13.8197 3.66521i −0.496740 0.131743i
\(775\)