Properties

Label 144.2.x.e.85.1
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.1
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40500 - 0.161164i) q^{2} +(-1.68781 - 0.388965i) q^{3} +(1.94805 + 0.452871i) q^{4} +(-0.846545 + 0.226831i) q^{5} +(2.30869 + 0.818511i) q^{6} +(-0.567074 + 0.327400i) q^{7} +(-2.66403 - 0.950239i) q^{8} +(2.69741 + 1.31300i) q^{9} +O(q^{10})\) \(q+(-1.40500 - 0.161164i) q^{2} +(-1.68781 - 0.388965i) q^{3} +(1.94805 + 0.452871i) q^{4} +(-0.846545 + 0.226831i) q^{5} +(2.30869 + 0.818511i) q^{6} +(-0.567074 + 0.327400i) q^{7} +(-2.66403 - 0.950239i) q^{8} +(2.69741 + 1.31300i) q^{9} +(1.22595 - 0.182265i) q^{10} +(-1.54155 + 5.75313i) q^{11} +(-3.11179 - 1.52208i) q^{12} +(1.19068 + 4.44367i) q^{13} +(0.849504 - 0.368606i) q^{14} +(1.51704 - 0.0535712i) q^{15} +(3.58982 + 1.76443i) q^{16} +2.75816 q^{17} +(-3.57826 - 2.27949i) q^{18} +(-1.73499 + 1.73499i) q^{19} +(-1.75184 + 0.0585035i) q^{20} +(1.08446 - 0.332018i) q^{21} +(3.09307 - 7.83471i) q^{22} +(-3.50762 - 2.02512i) q^{23} +(4.12677 + 2.64004i) q^{24} +(-3.66494 + 2.11595i) q^{25} +(-0.956743 - 6.43525i) q^{26} +(-4.04201 - 3.26530i) q^{27} +(-1.25296 + 0.380982i) q^{28} +(2.47312 + 0.662669i) q^{29} +(-2.14007 - 0.169224i) q^{30} +(2.08801 - 3.61654i) q^{31} +(-4.75933 - 3.05758i) q^{32} +(4.83961 - 9.11059i) q^{33} +(-3.87522 - 0.444516i) q^{34} +(0.405789 - 0.405789i) q^{35} +(4.66008 + 3.77937i) q^{36} +(-4.30563 - 4.30563i) q^{37} +(2.71728 - 2.15804i) q^{38} +(-0.281205 - 7.96320i) q^{39} +(2.47076 + 0.200136i) q^{40} +(6.15806 + 3.55536i) q^{41} +(-1.57718 + 0.291709i) q^{42} +(0.225483 - 0.841515i) q^{43} +(-5.60844 + 10.5093i) q^{44} +(-2.58131 - 0.499657i) q^{45} +(4.60183 + 3.41060i) q^{46} +(4.65521 + 8.06305i) q^{47} +(-5.37263 - 4.37434i) q^{48} +(-3.28562 + 5.69086i) q^{49} +(5.49026 - 2.38226i) q^{50} +(-4.65526 - 1.07283i) q^{51} +(0.307095 + 9.19572i) q^{52} +(-7.64584 - 7.64584i) q^{53} +(5.15278 + 5.23917i) q^{54} -5.21996i q^{55} +(1.82181 - 0.333348i) q^{56} +(3.60318 - 2.25348i) q^{57} +(-3.36793 - 1.32963i) q^{58} +(6.83351 - 1.83103i) q^{59} +(2.97953 + 0.582662i) q^{60} +(-3.77755 - 1.01219i) q^{61} +(-3.51651 + 4.74473i) q^{62} +(-1.95951 + 0.138565i) q^{63} +(6.19409 + 5.06293i) q^{64} +(-2.01592 - 3.49168i) q^{65} +(-8.26795 + 12.0204i) q^{66} +(3.11705 + 11.6330i) q^{67} +(5.37305 + 1.24909i) q^{68} +(5.13249 + 4.78237i) q^{69} +(-0.635532 + 0.504735i) q^{70} +4.34835i q^{71} +(-5.93832 - 6.06106i) q^{72} -0.656583i q^{73} +(5.35550 + 6.74332i) q^{74} +(7.00876 - 2.14580i) q^{75} +(-4.16557 + 2.59412i) q^{76} +(-1.00941 - 3.76715i) q^{77} +(-0.888288 + 11.2336i) q^{78} +(-8.16172 - 14.1365i) q^{79} +(-3.43917 - 0.679389i) q^{80} +(5.55206 + 7.08340i) q^{81} +(-8.07908 - 5.98774i) q^{82} +(5.36845 + 1.43847i) q^{83} +(2.26295 - 0.155667i) q^{84} +(-2.33491 + 0.625638i) q^{85} +(-0.452426 + 1.14599i) q^{86} +(-3.91640 - 2.08042i) q^{87} +(9.57357 - 13.8617i) q^{88} +5.11081i q^{89} +(3.54622 + 1.11803i) q^{90} +(-2.13006 - 2.13006i) q^{91} +(-5.91591 - 5.53355i) q^{92} +(-4.93087 + 5.29187i) q^{93} +(-5.24109 - 12.0788i) q^{94} +(1.07520 - 1.86230i) q^{95} +(6.84356 + 7.01182i) q^{96} +(3.05669 + 5.29434i) q^{97} +(5.53346 - 7.46613i) q^{98} +(-11.7120 + 13.4945i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40500 0.161164i −0.993485 0.113960i
\(3\) −1.68781 0.388965i −0.974458 0.224569i
\(4\) 1.94805 + 0.452871i 0.974026 + 0.226435i
\(5\) −0.846545 + 0.226831i −0.378587 + 0.101442i −0.443094 0.896475i \(-0.646119\pi\)
0.0645072 + 0.997917i \(0.479452\pi\)
\(6\) 2.30869 + 0.818511i 0.942518 + 0.334156i
\(7\) −0.567074 + 0.327400i −0.214334 + 0.123746i −0.603324 0.797496i \(-0.706157\pi\)
0.388990 + 0.921242i \(0.372824\pi\)
\(8\) −2.66403 0.950239i −0.941876 0.335960i
\(9\) 2.69741 + 1.31300i 0.899137 + 0.437667i
\(10\) 1.22595 0.182265i 0.387681 0.0576374i
\(11\) −1.54155 + 5.75313i −0.464794 + 1.73463i 0.192778 + 0.981242i \(0.438250\pi\)
−0.657572 + 0.753392i \(0.728416\pi\)
\(12\) −3.11179 1.52208i −0.898297 0.439388i
\(13\) 1.19068 + 4.44367i 0.330234 + 1.23245i 0.908944 + 0.416918i \(0.136890\pi\)
−0.578710 + 0.815534i \(0.696444\pi\)
\(14\) 0.849504 0.368606i 0.227039 0.0985140i
\(15\) 1.51704 0.0535712i 0.391698 0.0138320i
\(16\) 3.58982 + 1.76443i 0.897454 + 0.441108i
\(17\) 2.75816 0.668953 0.334477 0.942404i \(-0.391441\pi\)
0.334477 + 0.942404i \(0.391441\pi\)
\(18\) −3.57826 2.27949i −0.843403 0.537281i
\(19\) −1.73499 + 1.73499i −0.398034 + 0.398034i −0.877539 0.479505i \(-0.840816\pi\)
0.479505 + 0.877539i \(0.340816\pi\)
\(20\) −1.75184 + 0.0585035i −0.391723 + 0.0130818i
\(21\) 1.08446 0.332018i 0.236649 0.0724522i
\(22\) 3.09307 7.83471i 0.659445 1.67037i
\(23\) −3.50762 2.02512i −0.731389 0.422268i 0.0875410 0.996161i \(-0.472099\pi\)
−0.818930 + 0.573893i \(0.805432\pi\)
\(24\) 4.12677 + 2.64004i 0.842373 + 0.538896i
\(25\) −3.66494 + 2.11595i −0.732988 + 0.423191i
\(26\) −0.956743 6.43525i −0.187633 1.26206i
\(27\) −4.04201 3.26530i −0.777885 0.628407i
\(28\) −1.25296 + 0.380982i −0.236787 + 0.0719988i
\(29\) 2.47312 + 0.662669i 0.459246 + 0.123055i 0.481022 0.876708i \(-0.340266\pi\)
−0.0217764 + 0.999763i \(0.506932\pi\)
\(30\) −2.14007 0.169224i −0.390722 0.0308960i
\(31\) 2.08801 3.61654i 0.375018 0.649550i −0.615312 0.788284i \(-0.710970\pi\)
0.990330 + 0.138734i \(0.0443033\pi\)
\(32\) −4.75933 3.05758i −0.841339 0.540508i
\(33\) 4.83961 9.11059i 0.842468 1.58595i
\(34\) −3.87522 0.444516i −0.664595 0.0762339i
\(35\) 0.405789 0.405789i 0.0685909 0.0685909i
\(36\) 4.66008 + 3.77937i 0.776680 + 0.629895i
\(37\) −4.30563 4.30563i −0.707841 0.707841i 0.258240 0.966081i \(-0.416858\pi\)
−0.966081 + 0.258240i \(0.916858\pi\)
\(38\) 2.71728 2.15804i 0.440801 0.350081i
\(39\) −0.281205 7.96320i −0.0450288 1.27513i
\(40\) 2.47076 + 0.200136i 0.390662 + 0.0316443i
\(41\) 6.15806 + 3.55536i 0.961728 + 0.555254i 0.896704 0.442630i \(-0.145954\pi\)
0.0650233 + 0.997884i \(0.479288\pi\)
\(42\) −1.57718 + 0.291709i −0.243364 + 0.0450117i
\(43\) 0.225483 0.841515i 0.0343859 0.128330i −0.946599 0.322412i \(-0.895506\pi\)
0.980985 + 0.194082i \(0.0621729\pi\)
\(44\) −5.60844 + 10.5093i −0.845504 + 1.58433i
\(45\) −2.58131 0.499657i −0.384799 0.0744845i
\(46\) 4.60183 + 3.41060i 0.678503 + 0.502866i
\(47\) 4.65521 + 8.06305i 0.679032 + 1.17612i 0.975273 + 0.221004i \(0.0709334\pi\)
−0.296241 + 0.955113i \(0.595733\pi\)
\(48\) −5.37263 4.37434i −0.775472 0.631382i
\(49\) −3.28562 + 5.69086i −0.469374 + 0.812980i
\(50\) 5.49026 2.38226i 0.776440 0.336903i
\(51\) −4.65526 1.07283i −0.651867 0.150226i
\(52\) 0.307095 + 9.19572i 0.0425865 + 1.27522i
\(53\) −7.64584 7.64584i −1.05024 1.05024i −0.998669 0.0515677i \(-0.983578\pi\)
−0.0515677 0.998669i \(-0.516422\pi\)
\(54\) 5.15278 + 5.23917i 0.701204 + 0.712961i
\(55\) 5.21996i 0.703859i
\(56\) 1.82181 0.333348i 0.243449 0.0445455i
\(57\) 3.60318 2.25348i 0.477253 0.298481i
\(58\) −3.36793 1.32963i −0.442231 0.174589i
\(59\) 6.83351 1.83103i 0.889647 0.238380i 0.215082 0.976596i \(-0.430998\pi\)
0.674565 + 0.738216i \(0.264331\pi\)
\(60\) 2.97953 + 0.582662i 0.384656 + 0.0752214i
\(61\) −3.77755 1.01219i −0.483666 0.129598i 0.00874306 0.999962i \(-0.497217\pi\)
−0.492409 + 0.870364i \(0.663884\pi\)
\(62\) −3.51651 + 4.74473i −0.446597 + 0.602581i
\(63\) −1.95951 + 0.138565i −0.246875 + 0.0174576i
\(64\) 6.19409 + 5.06293i 0.774261 + 0.632866i
\(65\) −2.01592 3.49168i −0.250045 0.433090i
\(66\) −8.26795 + 12.0204i −1.01771 + 1.47961i
\(67\) 3.11705 + 11.6330i 0.380809 + 1.42120i 0.844669 + 0.535289i \(0.179797\pi\)
−0.463860 + 0.885908i \(0.653536\pi\)
\(68\) 5.37305 + 1.24909i 0.651578 + 0.151475i
\(69\) 5.13249 + 4.78237i 0.617880 + 0.575730i
\(70\) −0.635532 + 0.504735i −0.0759606 + 0.0603274i
\(71\) 4.34835i 0.516054i 0.966138 + 0.258027i \(0.0830723\pi\)
−0.966138 + 0.258027i \(0.916928\pi\)
\(72\) −5.93832 6.06106i −0.699837 0.714302i
\(73\) 0.656583i 0.0768472i −0.999262 0.0384236i \(-0.987766\pi\)
0.999262 0.0384236i \(-0.0122336\pi\)
\(74\) 5.35550 + 6.74332i 0.622564 + 0.783896i
\(75\) 7.00876 2.14580i 0.809302 0.247775i
\(76\) −4.16557 + 2.59412i −0.477824 + 0.297566i
\(77\) −1.00941 3.76715i −0.115032 0.429307i
\(78\) −0.888288 + 11.2336i −0.100579 + 1.27196i
\(79\) −8.16172 14.1365i −0.918266 1.59048i −0.802048 0.597259i \(-0.796256\pi\)
−0.116217 0.993224i \(-0.537077\pi\)
\(80\) −3.43917 0.679389i −0.384511 0.0759580i
\(81\) 5.55206 + 7.08340i 0.616896 + 0.787045i
\(82\) −8.07908 5.98774i −0.892186 0.661235i
\(83\) 5.36845 + 1.43847i 0.589264 + 0.157893i 0.541117 0.840948i \(-0.318002\pi\)
0.0481470 + 0.998840i \(0.484668\pi\)
\(84\) 2.26295 0.155667i 0.246908 0.0169847i
\(85\) −2.33491 + 0.625638i −0.253257 + 0.0678599i
\(86\) −0.452426 + 1.14599i −0.0487863 + 0.123575i
\(87\) −3.91640 2.08042i −0.419882 0.223044i
\(88\) 9.57357 13.8617i 1.02055 1.47766i
\(89\) 5.11081i 0.541744i 0.962615 + 0.270872i \(0.0873121\pi\)
−0.962615 + 0.270872i \(0.912688\pi\)
\(90\) 3.54622 + 1.11803i 0.373804 + 0.117851i
\(91\) −2.13006 2.13006i −0.223291 0.223291i
\(92\) −5.91591 5.53355i −0.616776 0.576912i
\(93\) −4.93087 + 5.29187i −0.511308 + 0.548741i
\(94\) −5.24109 12.0788i −0.540578 1.24584i
\(95\) 1.07520 1.86230i 0.110313 0.191068i
\(96\) 6.84356 + 7.01182i 0.698468 + 0.715641i
\(97\) 3.05669 + 5.29434i 0.310360 + 0.537559i 0.978440 0.206530i \(-0.0662171\pi\)
−0.668080 + 0.744089i \(0.732884\pi\)
\(98\) 5.53346 7.46613i 0.558963 0.754193i
\(99\) −11.7120 + 13.4945i −1.17711 + 1.35625i
\(100\) −8.09775 + 2.46225i −0.809775 + 0.246225i
\(101\) 3.30688 12.3415i 0.329047 1.22802i −0.581133 0.813809i \(-0.697390\pi\)
0.910180 0.414213i \(-0.135943\pi\)
\(102\) 6.36774 + 2.25759i 0.630500 + 0.223534i
\(103\) 1.82866 + 1.05577i 0.180183 + 0.104029i 0.587379 0.809312i \(-0.300160\pi\)
−0.407196 + 0.913341i \(0.633493\pi\)
\(104\) 1.05055 12.9695i 0.103015 1.27176i
\(105\) −0.842733 + 0.527057i −0.0822423 + 0.0514355i
\(106\) 9.51018 + 11.9746i 0.923710 + 1.16308i
\(107\) 7.26738 + 7.26738i 0.702564 + 0.702564i 0.964960 0.262396i \(-0.0845128\pi\)
−0.262396 + 0.964960i \(0.584513\pi\)
\(108\) −6.39529 8.19148i −0.615387 0.788225i
\(109\) 5.73169 5.73169i 0.548996 0.548996i −0.377154 0.926150i \(-0.623097\pi\)
0.926150 + 0.377154i \(0.123097\pi\)
\(110\) −0.841268 + 7.33404i −0.0802118 + 0.699273i
\(111\) 5.59235 + 8.94183i 0.530802 + 0.848721i
\(112\) −2.61337 + 0.174744i −0.246940 + 0.0165118i
\(113\) 0.907975 1.57266i 0.0854151 0.147943i −0.820153 0.572144i \(-0.806112\pi\)
0.905568 + 0.424201i \(0.139445\pi\)
\(114\) −5.42565 + 2.58544i −0.508159 + 0.242149i
\(115\) 3.42872 + 0.918723i 0.319730 + 0.0856713i
\(116\) 4.51766 + 2.41092i 0.419454 + 0.223848i
\(117\) −2.62279 + 13.5498i −0.242477 + 1.25268i
\(118\) −9.89618 + 1.47129i −0.911017 + 0.135443i
\(119\) −1.56408 + 0.903023i −0.143379 + 0.0827800i
\(120\) −4.09234 1.29883i −0.373578 0.118567i
\(121\) −21.1959 12.2374i −1.92690 1.11249i
\(122\) 5.14433 + 2.03094i 0.465746 + 0.183872i
\(123\) −9.01073 8.39605i −0.812470 0.757046i
\(124\) 5.70538 6.09961i 0.512358 0.547761i
\(125\) 5.72115 5.72115i 0.511715 0.511715i
\(126\) 2.77544 + 0.121118i 0.247256 + 0.0107900i
\(127\) 19.2026 1.70395 0.851976 0.523581i \(-0.175404\pi\)
0.851976 + 0.523581i \(0.175404\pi\)
\(128\) −7.88674 8.11168i −0.697096 0.716978i
\(129\) −0.707893 + 1.33261i −0.0623265 + 0.117330i
\(130\) 2.26964 + 5.23071i 0.199061 + 0.458764i
\(131\) −3.12885 11.6770i −0.273369 1.02023i −0.956927 0.290330i \(-0.906235\pi\)
0.683558 0.729896i \(-0.260432\pi\)
\(132\) 13.5537 15.5562i 1.17970 1.35399i
\(133\) 0.415831 1.55190i 0.0360571 0.134567i
\(134\) −2.50464 16.8467i −0.216368 1.45534i
\(135\) 4.16242 + 1.84737i 0.358244 + 0.158996i
\(136\) −7.34783 2.62092i −0.630071 0.224742i
\(137\) −2.88080 + 1.66323i −0.246123 + 0.142099i −0.617988 0.786188i \(-0.712052\pi\)
0.371865 + 0.928287i \(0.378719\pi\)
\(138\) −6.44041 7.54641i −0.548244 0.642393i
\(139\) 10.4536 2.80104i 0.886666 0.237582i 0.213385 0.976968i \(-0.431551\pi\)
0.673281 + 0.739387i \(0.264884\pi\)
\(140\) 0.974268 0.606728i 0.0823407 0.0512779i
\(141\) −4.72086 15.4196i −0.397568 1.29857i
\(142\) 0.700796 6.10943i 0.0588095 0.512692i
\(143\) −27.4005 −2.29134
\(144\) 7.36651 + 9.47283i 0.613876 + 0.789402i
\(145\) −2.24392 −0.186347
\(146\) −0.105817 + 0.922499i −0.00875751 + 0.0763466i
\(147\) 7.75905 8.32710i 0.639956 0.686808i
\(148\) −6.43770 10.3375i −0.529176 0.849736i
\(149\) −19.1223 + 5.12380i −1.56656 + 0.419758i −0.934733 0.355351i \(-0.884361\pi\)
−0.631827 + 0.775110i \(0.717695\pi\)
\(150\) −10.1931 + 1.88529i −0.832266 + 0.153933i
\(151\) 5.09441 2.94126i 0.414577 0.239356i −0.278177 0.960530i \(-0.589730\pi\)
0.692754 + 0.721174i \(0.256397\pi\)
\(152\) 6.27071 2.97340i 0.508622 0.241175i
\(153\) 7.43990 + 3.62147i 0.601481 + 0.292779i
\(154\) 0.811086 + 5.45553i 0.0653592 + 0.439619i
\(155\) −0.947251 + 3.53519i −0.0760851 + 0.283953i
\(156\) 3.05850 15.6401i 0.244876 1.25221i
\(157\) 5.09096 + 18.9997i 0.406303 + 1.51634i 0.801640 + 0.597808i \(0.203961\pi\)
−0.395336 + 0.918536i \(0.629372\pi\)
\(158\) 9.18893 + 21.1772i 0.731032 + 1.68477i
\(159\) 9.93077 + 15.8787i 0.787561 + 1.25926i
\(160\) 4.72254 + 1.50881i 0.373350 + 0.119282i
\(161\) 2.65210 0.209015
\(162\) −6.65906 10.8470i −0.523185 0.852219i
\(163\) 5.00716 5.00716i 0.392191 0.392191i −0.483277 0.875468i \(-0.660554\pi\)
0.875468 + 0.483277i \(0.160554\pi\)
\(164\) 10.3861 + 9.71483i 0.811019 + 0.758601i
\(165\) −2.03038 + 8.81030i −0.158065 + 0.685881i
\(166\) −7.31084 2.88625i −0.567431 0.224017i
\(167\) 14.5023 + 8.37292i 1.12222 + 0.647916i 0.941967 0.335704i \(-0.108974\pi\)
0.180255 + 0.983620i \(0.442308\pi\)
\(168\) −3.20453 0.145993i −0.247235 0.0112636i
\(169\) −7.07014 + 4.08195i −0.543857 + 0.313996i
\(170\) 3.38138 0.502718i 0.259340 0.0385567i
\(171\) −6.95802 + 2.40194i −0.532093 + 0.183681i
\(172\) 0.820350 1.53720i 0.0625511 0.117210i
\(173\) −16.2848 4.36351i −1.23811 0.331751i −0.420379 0.907349i \(-0.638103\pi\)
−0.817733 + 0.575597i \(0.804770\pi\)
\(174\) 5.16725 + 3.55417i 0.391728 + 0.269441i
\(175\) 1.38553 2.39980i 0.104736 0.181408i
\(176\) −15.6849 + 17.9327i −1.18229 + 1.35173i
\(177\) −12.2459 + 0.432439i −0.920456 + 0.0325041i
\(178\) 0.823677 7.18068i 0.0617372 0.538215i
\(179\) 6.56566 6.56566i 0.490740 0.490740i −0.417799 0.908539i \(-0.637198\pi\)
0.908539 + 0.417799i \(0.137198\pi\)
\(180\) −4.80225 2.14236i −0.357938 0.159682i
\(181\) 15.4877 + 15.4877i 1.15119 + 1.15119i 0.986315 + 0.164875i \(0.0527219\pi\)
0.164875 + 0.986315i \(0.447278\pi\)
\(182\) 2.64945 + 3.33602i 0.196390 + 0.247282i
\(183\) 5.98209 + 3.17773i 0.442209 + 0.234904i
\(184\) 7.42004 + 8.72807i 0.547013 + 0.643442i
\(185\) 4.62156 + 2.66826i 0.339784 + 0.196174i
\(186\) 7.78074 6.64040i 0.570511 0.486898i
\(187\) −4.25184 + 15.8681i −0.310925 + 1.16039i
\(188\) 5.41707 + 17.8155i 0.395080 + 1.29933i
\(189\) 3.36118 + 0.528309i 0.244490 + 0.0384288i
\(190\) −1.81079 + 2.44324i −0.131368 + 0.177252i
\(191\) −1.73038 2.99710i −0.125206 0.216863i 0.796608 0.604497i \(-0.206626\pi\)
−0.921813 + 0.387634i \(0.873292\pi\)
\(192\) −8.48515 10.9546i −0.612363 0.790577i
\(193\) 4.93395 8.54585i 0.355153 0.615144i −0.631991 0.774976i \(-0.717762\pi\)
0.987144 + 0.159832i \(0.0510953\pi\)
\(194\) −3.44139 7.93118i −0.247078 0.569426i
\(195\) 2.04436 + 6.67743i 0.146399 + 0.478181i
\(196\) −8.97778 + 9.59813i −0.641270 + 0.685581i
\(197\) 4.95292 + 4.95292i 0.352881 + 0.352881i 0.861180 0.508299i \(-0.169726\pi\)
−0.508299 + 0.861180i \(0.669726\pi\)
\(198\) 18.6303 17.0722i 1.32399 1.21327i
\(199\) 19.3983i 1.37511i 0.726132 + 0.687556i \(0.241316\pi\)
−0.726132 + 0.687556i \(0.758684\pi\)
\(200\) 11.7742 2.15439i 0.832559 0.152339i
\(201\) −0.736162 20.8467i −0.0519248 1.47042i
\(202\) −6.63517 + 16.8068i −0.466849 + 1.18252i
\(203\) −1.61940 + 0.433916i −0.113659 + 0.0304549i
\(204\) −8.58284 4.19816i −0.600919 0.293930i
\(205\) −6.01954 1.61293i −0.420423 0.112652i
\(206\) −2.39911 1.77808i −0.167154 0.123884i
\(207\) −6.80250 10.0681i −0.472807 0.699781i
\(208\) −3.56623 + 18.0528i −0.247274 + 1.25174i
\(209\) −7.30705 12.6562i −0.505439 0.875446i
\(210\) 1.26898 0.604698i 0.0875682 0.0417281i
\(211\) −0.499784 1.86522i −0.0344066 0.128407i 0.946586 0.322450i \(-0.104506\pi\)
−0.980993 + 0.194043i \(0.937840\pi\)
\(212\) −11.4319 18.3571i −0.785148 1.26077i
\(213\) 1.69136 7.33919i 0.115890 0.502873i
\(214\) −9.03943 11.3819i −0.617923 0.778051i
\(215\) 0.763527i 0.0520721i
\(216\) 7.66522 + 12.5397i 0.521552 + 0.853220i
\(217\) 2.73446i 0.185627i
\(218\) −8.97677 + 7.12928i −0.607983 + 0.482856i
\(219\) −0.255388 + 1.10819i −0.0172575 + 0.0748844i
\(220\) 2.36396 10.1687i 0.159378 0.685577i
\(221\) 3.28408 + 12.2564i 0.220911 + 0.824452i
\(222\) −6.41615 13.4646i −0.430624 0.903682i
\(223\) −6.56173 11.3653i −0.439406 0.761074i 0.558237 0.829681i \(-0.311478\pi\)
−0.997644 + 0.0686072i \(0.978144\pi\)
\(224\) 3.69994 + 0.175665i 0.247213 + 0.0117371i
\(225\) −12.6641 + 0.895533i −0.844273 + 0.0597022i
\(226\) −1.52916 + 2.06325i −0.101718 + 0.137246i
\(227\) 4.02317 + 1.07800i 0.267027 + 0.0715497i 0.389848 0.920879i \(-0.372527\pi\)
−0.122821 + 0.992429i \(0.539194\pi\)
\(228\) 8.03973 2.75813i 0.532444 0.182661i
\(229\) 26.9787 7.22892i 1.78280 0.477701i 0.791713 0.610894i \(-0.209190\pi\)
0.991090 + 0.133193i \(0.0425231\pi\)
\(230\) −4.66929 1.84339i −0.307884 0.121550i
\(231\) 0.238393 + 6.75086i 0.0156851 + 0.444174i
\(232\) −5.95876 4.11542i −0.391211 0.270191i
\(233\) 6.78106i 0.444242i 0.975019 + 0.222121i \(0.0712980\pi\)
−0.975019 + 0.222121i \(0.928702\pi\)
\(234\) 5.86875 18.6147i 0.383652 1.21688i
\(235\) −5.76980 5.76980i −0.376380 0.376380i
\(236\) 14.1412 0.472253i 0.920517 0.0307411i
\(237\) 8.27683 + 27.0344i 0.537638 + 1.75607i
\(238\) 2.34307 1.01667i 0.151879 0.0659012i
\(239\) −4.09048 + 7.08492i −0.264591 + 0.458286i −0.967456 0.253038i \(-0.918570\pi\)
0.702865 + 0.711323i \(0.251904\pi\)
\(240\) 5.54041 + 2.48440i 0.357632 + 0.160367i
\(241\) −0.259428 0.449343i −0.0167112 0.0289447i 0.857549 0.514403i \(-0.171986\pi\)
−0.874260 + 0.485458i \(0.838653\pi\)
\(242\) 27.8080 + 20.6096i 1.78756 + 1.32484i
\(243\) −6.61563 14.1150i −0.424393 0.905478i
\(244\) −6.90048 3.68255i −0.441758 0.235751i
\(245\) 1.49056 5.56285i 0.0952285 0.355397i
\(246\) 11.3069 + 13.2487i 0.720904 + 0.844703i
\(247\) −9.77552 5.64390i −0.622002 0.359113i
\(248\) −8.99909 + 7.65045i −0.571443 + 0.485804i
\(249\) −8.50141 4.51601i −0.538755 0.286190i
\(250\) −8.96025 + 7.11617i −0.566696 + 0.450066i
\(251\) −13.9609 13.9609i −0.881207 0.881207i 0.112450 0.993657i \(-0.464130\pi\)
−0.993657 + 0.112450i \(0.964130\pi\)
\(252\) −3.87998 0.617471i −0.244416 0.0388970i
\(253\) 17.0580 17.0580i 1.07243 1.07243i
\(254\) −26.9796 3.09476i −1.69285 0.194183i
\(255\) 4.18424 0.147758i 0.262027 0.00925298i
\(256\) 9.77357 + 12.6680i 0.610848 + 0.791748i
\(257\) −8.72443 + 15.1112i −0.544215 + 0.942609i 0.454441 + 0.890777i \(0.349839\pi\)
−0.998656 + 0.0518315i \(0.983494\pi\)
\(258\) 1.20936 1.75823i 0.0752914 0.109463i
\(259\) 3.85127 + 1.03195i 0.239307 + 0.0641220i
\(260\) −2.34585 7.71494i −0.145483 0.478460i
\(261\) 5.80093 + 5.03469i 0.359068 + 0.311640i
\(262\) 2.51412 + 16.9105i 0.155323 + 1.04473i
\(263\) −9.06417 + 5.23320i −0.558921 + 0.322693i −0.752712 0.658350i \(-0.771255\pi\)
0.193791 + 0.981043i \(0.437921\pi\)
\(264\) −21.5501 + 19.6721i −1.32632 + 1.21073i
\(265\) 8.20687 + 4.73824i 0.504144 + 0.291068i
\(266\) −0.834353 + 2.11341i −0.0511575 + 0.129581i
\(267\) 1.98793 8.62607i 0.121659 0.527907i
\(268\) 0.803940 + 24.0733i 0.0491084 + 1.47051i
\(269\) 14.8881 14.8881i 0.907746 0.907746i −0.0883440 0.996090i \(-0.528157\pi\)
0.996090 + 0.0883440i \(0.0281575\pi\)
\(270\) −5.55047 3.26638i −0.337791 0.198786i
\(271\) −1.64797 −0.100107 −0.0500534 0.998747i \(-0.515939\pi\)
−0.0500534 + 0.998747i \(0.515939\pi\)
\(272\) 9.90130 + 4.86659i 0.600355 + 0.295080i
\(273\) 2.76662 + 4.42366i 0.167443 + 0.267732i
\(274\) 4.31558 1.87256i 0.260714 0.113125i
\(275\) −6.52368 24.3467i −0.393393 1.46816i
\(276\) 7.83257 + 11.6407i 0.471466 + 0.700686i
\(277\) 3.13780 11.7104i 0.188532 0.703612i −0.805315 0.592848i \(-0.798004\pi\)
0.993847 0.110764i \(-0.0353298\pi\)
\(278\) −15.1388 + 2.25072i −0.907965 + 0.134989i
\(279\) 10.3807 7.01374i 0.621479 0.419901i
\(280\) −1.46663 + 0.695437i −0.0876479 + 0.0415603i
\(281\) 2.28116 1.31703i 0.136083 0.0785674i −0.430413 0.902632i \(-0.641632\pi\)
0.566496 + 0.824065i \(0.308299\pi\)
\(282\) 4.14772 + 22.4254i 0.246993 + 1.33541i
\(283\) −10.3823 + 2.78192i −0.617162 + 0.165368i −0.553837 0.832625i \(-0.686837\pi\)
−0.0633245 + 0.997993i \(0.520170\pi\)
\(284\) −1.96924 + 8.47081i −0.116853 + 0.502650i
\(285\) −2.53910 + 2.72499i −0.150403 + 0.161414i
\(286\) 38.4977 + 4.41597i 2.27642 + 0.261122i
\(287\) −4.65610 −0.274841
\(288\) −8.82328 14.4965i −0.519917 0.854217i
\(289\) −9.39253 −0.552502
\(290\) 3.15271 + 0.361639i 0.185133 + 0.0212361i
\(291\) −3.09980 10.1248i −0.181713 0.593526i
\(292\) 0.297347 1.27906i 0.0174009 0.0748512i
\(293\) 3.95963 1.06098i 0.231324 0.0619831i −0.141295 0.989968i \(-0.545127\pi\)
0.372619 + 0.927984i \(0.378460\pi\)
\(294\) −12.2435 + 10.4491i −0.714055 + 0.609404i
\(295\) −5.36954 + 3.10010i −0.312627 + 0.180495i
\(296\) 7.37894 + 15.5617i 0.428892 + 0.904505i
\(297\) 25.0166 18.2206i 1.45161 1.05727i
\(298\) 27.6926 4.11712i 1.60419 0.238499i
\(299\) 4.82254 17.9980i 0.278895 1.04085i
\(300\) 14.6252 1.00606i 0.844386 0.0580850i
\(301\) 0.147646 + 0.551024i 0.00851020 + 0.0317605i
\(302\) −7.63167 + 3.31143i −0.439153 + 0.190552i
\(303\) −10.3818 + 19.5438i −0.596419 + 1.12276i
\(304\) −9.28956 + 3.16702i −0.532793 + 0.181641i
\(305\) 3.42747 0.196256
\(306\) −9.86942 6.28721i −0.564197 0.359416i
\(307\) 5.40346 5.40346i 0.308392 0.308392i −0.535894 0.844286i \(-0.680025\pi\)
0.844286 + 0.535894i \(0.180025\pi\)
\(308\) −0.260342 7.79574i −0.0148344 0.444203i
\(309\) −2.67576 2.49323i −0.152219 0.141835i
\(310\) 1.90063 4.81428i 0.107949 0.273433i
\(311\) −13.4939 7.79068i −0.765167 0.441769i 0.0659811 0.997821i \(-0.478982\pi\)
−0.831148 + 0.556052i \(0.812316\pi\)
\(312\) −6.81781 + 21.4814i −0.385982 + 1.21615i
\(313\) 25.4594 14.6990i 1.43905 0.830835i 0.441265 0.897377i \(-0.354530\pi\)
0.997784 + 0.0665417i \(0.0211965\pi\)
\(314\) −4.09074 27.5151i −0.230854 1.55277i
\(315\) 1.62738 0.561779i 0.0916926 0.0316527i
\(316\) −9.49745 31.2349i −0.534273 1.75710i
\(317\) 5.27629 + 1.41378i 0.296346 + 0.0794057i 0.403929 0.914790i \(-0.367644\pi\)
−0.107583 + 0.994196i \(0.534311\pi\)
\(318\) −11.3937 23.9101i −0.638925 1.34081i
\(319\) −7.62485 + 13.2066i −0.426909 + 0.739429i
\(320\) −6.39201 2.88098i −0.357324 0.161052i
\(321\) −9.43920 15.0927i −0.526845 0.842393i
\(322\) −3.72621 0.427423i −0.207653 0.0238194i
\(323\) −4.78538 + 4.78538i −0.266266 + 0.266266i
\(324\) 7.60784 + 16.3132i 0.422658 + 0.906289i
\(325\) −13.7664 13.7664i −0.763620 0.763620i
\(326\) −7.84203 + 6.22808i −0.434330 + 0.344942i
\(327\) −11.9034 + 7.44458i −0.658261 + 0.411686i
\(328\) −13.0268 15.3232i −0.719285 0.846083i
\(329\) −5.27969 3.04823i −0.291079 0.168054i
\(330\) 4.27259 12.0513i 0.235198 0.663400i
\(331\) −6.68483 + 24.9481i −0.367432 + 1.37127i 0.496663 + 0.867944i \(0.334559\pi\)
−0.864094 + 0.503330i \(0.832108\pi\)
\(332\) 9.80658 + 5.23343i 0.538206 + 0.287222i
\(333\) −5.96076 17.2674i −0.326648 0.946245i
\(334\) −19.0263 14.1012i −1.04108 0.771583i
\(335\) −5.27746 9.14082i −0.288338 0.499416i
\(336\) 4.47884 + 0.721574i 0.244341 + 0.0393651i
\(337\) −1.97680 + 3.42392i −0.107683 + 0.186513i −0.914831 0.403836i \(-0.867677\pi\)
0.807148 + 0.590349i \(0.201010\pi\)
\(338\) 10.5914 4.59569i 0.576097 0.249972i
\(339\) −2.14420 + 2.30118i −0.116457 + 0.124983i
\(340\) −4.83186 + 0.161362i −0.262045 + 0.00875110i
\(341\) 17.5877 + 17.5877i 0.952425 + 0.952425i
\(342\) 10.1631 2.25334i 0.549559 0.121847i
\(343\) 8.88645i 0.479823i
\(344\) −1.40033 + 2.02756i −0.0755009 + 0.109318i
\(345\) −5.42968 2.88428i −0.292324 0.155285i
\(346\) 22.1769 + 8.75525i 1.19224 + 0.470685i
\(347\) 4.56059 1.22201i 0.244825 0.0656008i −0.134320 0.990938i \(-0.542885\pi\)
0.379145 + 0.925337i \(0.376218\pi\)
\(348\) −6.68719 5.82638i −0.358471 0.312327i
\(349\) −7.74559 2.07543i −0.414612 0.111095i 0.0454819 0.998965i \(-0.485518\pi\)
−0.460094 + 0.887870i \(0.652184\pi\)
\(350\) −2.33343 + 3.14843i −0.124727 + 0.168291i
\(351\) 9.69716 21.8493i 0.517596 1.16623i
\(352\) 24.9274 22.6677i 1.32863 1.20819i
\(353\) 6.95793 + 12.0515i 0.370333 + 0.641436i 0.989617 0.143731i \(-0.0459101\pi\)
−0.619283 + 0.785168i \(0.712577\pi\)
\(354\) 17.2752 + 1.36602i 0.918164 + 0.0726029i
\(355\) −0.986340 3.68107i −0.0523495 0.195371i
\(356\) −2.31453 + 9.95612i −0.122670 + 0.527673i
\(357\) 2.99112 0.915759i 0.158307 0.0484671i
\(358\) −10.2829 + 8.16660i −0.543468 + 0.431618i
\(359\) 0.491573i 0.0259443i 0.999916 + 0.0129721i \(0.00412927\pi\)
−0.999916 + 0.0129721i \(0.995871\pi\)
\(360\) 6.40189 + 3.78396i 0.337409 + 0.199432i
\(361\) 12.9796i 0.683138i
\(362\) −19.2641 24.2562i −1.01250 1.27488i
\(363\) 31.0147 + 28.8989i 1.62785 + 1.51680i
\(364\) −3.18483 5.11411i −0.166930 0.268052i
\(365\) 0.148933 + 0.555827i 0.00779553 + 0.0290933i
\(366\) −7.89270 5.42880i −0.412558 0.283768i
\(367\) 3.97080 + 6.87763i 0.207274 + 0.359010i 0.950855 0.309637i \(-0.100207\pi\)
−0.743581 + 0.668646i \(0.766874\pi\)
\(368\) −9.01852 13.4588i −0.470123 0.701587i
\(369\) 11.9426 + 17.6758i 0.621709 + 0.920166i
\(370\) −6.06327 4.49374i −0.315214 0.233618i
\(371\) 6.83901 + 1.83251i 0.355064 + 0.0951390i
\(372\) −12.0021 + 8.07579i −0.622282 + 0.418710i
\(373\) 21.8895 5.86527i 1.13340 0.303692i 0.357103 0.934065i \(-0.383765\pi\)
0.776293 + 0.630373i \(0.217098\pi\)
\(374\) 8.53120 21.6094i 0.441138 1.11740i
\(375\) −11.8815 + 7.43088i −0.613560 + 0.383729i
\(376\) −4.73977 25.9038i −0.244435 1.33588i
\(377\) 11.7787i 0.606635i
\(378\) −4.63731 1.28397i −0.238517 0.0660405i
\(379\) −24.5680 24.5680i −1.26197 1.26197i −0.950135 0.311839i \(-0.899055\pi\)
−0.311839 0.950135i \(-0.600945\pi\)
\(380\) 2.93792 3.14093i 0.150712 0.161126i
\(381\) −32.4103 7.46914i −1.66043 0.382655i
\(382\) 1.94816 + 4.48980i 0.0996764 + 0.229718i
\(383\) 3.67713 6.36897i 0.187892 0.325439i −0.756655 0.653814i \(-0.773168\pi\)
0.944547 + 0.328375i \(0.106501\pi\)
\(384\) 10.1562 + 16.7586i 0.518280 + 0.855211i
\(385\) 1.70901 + 2.96010i 0.0870995 + 0.150861i
\(386\) −8.30948 + 11.2117i −0.422941 + 0.570663i
\(387\) 1.71313 1.97385i 0.0870833 0.100337i
\(388\) 3.55694 + 11.6979i 0.180576 + 0.593873i
\(389\) −4.98406 + 18.6007i −0.252702 + 0.943095i 0.716653 + 0.697430i \(0.245673\pi\)
−0.969355 + 0.245665i \(0.920994\pi\)
\(390\) −1.79616 9.71126i −0.0909521 0.491749i
\(391\) −9.67459 5.58563i −0.489265 0.282477i
\(392\) 14.1607 12.0385i 0.715221 0.608035i
\(393\) 0.738947 + 20.9256i 0.0372750 + 1.05556i
\(394\) −6.16062 7.75709i −0.310368 0.390796i
\(395\) 10.1159 + 10.1159i 0.508985 + 0.508985i
\(396\) −28.9269 + 20.9840i −1.45363 + 1.05448i
\(397\) −23.3235 + 23.3235i −1.17057 + 1.17057i −0.188500 + 0.982073i \(0.560362\pi\)
−0.982073 + 0.188500i \(0.939638\pi\)
\(398\) 3.12631 27.2547i 0.156708 1.36615i
\(399\) −1.30548 + 2.45757i −0.0653558 + 0.123033i
\(400\) −16.8899 + 1.12935i −0.844496 + 0.0564676i
\(401\) −4.61036 + 7.98538i −0.230231 + 0.398771i −0.957876 0.287183i \(-0.907281\pi\)
0.727645 + 0.685954i \(0.240615\pi\)
\(402\) −2.32543 + 29.4083i −0.115982 + 1.46675i
\(403\) 18.5568 + 4.97229i 0.924382 + 0.247687i
\(404\) 12.0311 22.5442i 0.598568 1.12162i
\(405\) −6.30681 4.73704i −0.313388 0.235386i
\(406\) 2.34519 0.348664i 0.116390 0.0173039i
\(407\) 31.4082 18.1335i 1.55685 0.898845i
\(408\) 11.3823 + 7.28166i 0.563508 + 0.360496i
\(409\) −17.2773 9.97503i −0.854306 0.493234i 0.00779552 0.999970i \(-0.497519\pi\)
−0.862101 + 0.506736i \(0.830852\pi\)
\(410\) 8.19752 + 3.23630i 0.404846 + 0.159830i
\(411\) 5.50919 1.68669i 0.271748 0.0831982i
\(412\) 3.08419 + 2.88485i 0.151947 + 0.142126i
\(413\) −3.27562 + 3.27562i −0.161183 + 0.161183i
\(414\) 7.93491 + 15.2420i 0.389979 + 0.749104i
\(415\) −4.87092 −0.239104
\(416\) 7.92002 24.7895i 0.388311 1.21540i
\(417\) −18.7333 + 0.661529i −0.917373 + 0.0323952i
\(418\) 8.22669 + 18.9596i 0.402380 + 0.927343i
\(419\) 7.85913 + 29.3307i 0.383943 + 1.43290i 0.839826 + 0.542856i \(0.182657\pi\)
−0.455882 + 0.890040i \(0.650676\pi\)
\(420\) −1.88038 + 0.645086i −0.0917530 + 0.0314770i
\(421\) −2.70420 + 10.0922i −0.131795 + 0.491864i −0.999991 0.00435733i \(-0.998613\pi\)
0.868196 + 0.496222i \(0.165280\pi\)
\(422\) 0.401591 + 2.70118i 0.0195491 + 0.131491i
\(423\) 1.97022 + 27.8617i 0.0957952 + 1.35468i
\(424\) 13.1034 + 27.6341i 0.636356 + 1.34203i
\(425\) −10.1085 + 5.83615i −0.490335 + 0.283095i
\(426\) −3.55917 + 10.0390i −0.172442 + 0.486390i
\(427\) 2.47354 0.662784i 0.119703 0.0320744i
\(428\) 10.8660 + 17.4484i 0.525230 + 0.843401i
\(429\) 46.2468 + 10.6578i 2.23282 + 0.514565i
\(430\) 0.123053 1.07276i 0.00593414 0.0517329i
\(431\) 11.3639 0.547382 0.273691 0.961818i \(-0.411756\pi\)
0.273691 + 0.961818i \(0.411756\pi\)
\(432\) −8.74868 18.8537i −0.420921 0.907097i
\(433\) −9.65126 −0.463810 −0.231905 0.972738i \(-0.574496\pi\)
−0.231905 + 0.972738i \(0.574496\pi\)
\(434\) 0.440696 3.84192i 0.0211541 0.184418i
\(435\) 3.78731 + 0.872807i 0.181588 + 0.0418479i
\(436\) 13.7613 8.56992i 0.659049 0.410425i
\(437\) 9.59925 2.57211i 0.459194 0.123041i
\(438\) 0.537420 1.51584i 0.0256789 0.0724299i
\(439\) −13.6132 + 7.85957i −0.649722 + 0.375117i −0.788350 0.615228i \(-0.789064\pi\)
0.138628 + 0.990345i \(0.455731\pi\)
\(440\) −4.96021 + 13.9061i −0.236469 + 0.662948i
\(441\) −16.3348 + 11.0366i −0.777846 + 0.525551i
\(442\) −2.63886 17.7495i −0.125518 0.844256i
\(443\) −4.97116 + 18.5526i −0.236187 + 0.881461i 0.741424 + 0.671037i \(0.234151\pi\)
−0.977610 + 0.210424i \(0.932516\pi\)
\(444\) 6.84470 + 19.9518i 0.324835 + 0.946869i
\(445\) −1.15929 4.32653i −0.0549556 0.205097i
\(446\) 7.38757 + 17.0257i 0.349812 + 0.806191i
\(447\) 34.2678 1.21010i 1.62081 0.0572358i
\(448\) −5.17011 0.843106i −0.244265 0.0398330i
\(449\) 35.3101 1.66639 0.833194 0.552982i \(-0.186510\pi\)
0.833194 + 0.552982i \(0.186510\pi\)
\(450\) 17.9374 + 0.782772i 0.845577 + 0.0369002i
\(451\) −29.9474 + 29.9474i −1.41017 + 1.41017i
\(452\) 2.48099 2.65243i 0.116696 0.124760i
\(453\) −9.74244 + 2.98274i −0.457740 + 0.140141i
\(454\) −5.47882 2.16299i −0.257134 0.101514i
\(455\) 2.28636 + 1.32003i 0.107186 + 0.0618839i
\(456\) −11.7403 + 2.57945i −0.549791 + 0.120794i
\(457\) 0.565406 0.326437i 0.0264486 0.0152701i −0.486717 0.873559i \(-0.661806\pi\)
0.513166 + 0.858289i \(0.328473\pi\)
\(458\) −39.0701 + 5.80865i −1.82563 + 0.271420i
\(459\) −11.1485 9.00622i −0.520369 0.420374i
\(460\) 6.26326 + 3.34249i 0.292026 + 0.155844i
\(461\) −3.91317 1.04853i −0.182255 0.0488350i 0.166537 0.986035i \(-0.446741\pi\)
−0.348792 + 0.937200i \(0.613408\pi\)
\(462\) 0.753052 9.52339i 0.0350352 0.443068i
\(463\) −21.0971 + 36.5413i −0.980466 + 1.69822i −0.319894 + 0.947453i \(0.603647\pi\)
−0.660571 + 0.750763i \(0.729686\pi\)
\(464\) 7.70880 + 6.74250i 0.357872 + 0.313013i
\(465\) 2.97385 5.59828i 0.137909 0.259614i
\(466\) 1.09286 9.52739i 0.0506258 0.441348i
\(467\) −0.180878 + 0.180878i −0.00837005 + 0.00837005i −0.711279 0.702909i \(-0.751884\pi\)
0.702909 + 0.711279i \(0.251884\pi\)
\(468\) −11.2456 + 25.2079i −0.519829 + 1.16523i
\(469\) −5.57625 5.57625i −0.257487 0.257487i
\(470\) 7.17668 + 9.03645i 0.331036 + 0.416820i
\(471\) −1.20234 34.0482i −0.0554011 1.56886i
\(472\) −19.9446 1.61554i −0.918023 0.0743613i
\(473\) 4.49375 + 2.59447i 0.206623 + 0.119294i
\(474\) −7.27198 39.3173i −0.334013 1.80590i
\(475\) 2.68747 10.0298i 0.123310 0.460198i
\(476\) −3.45587 + 1.05081i −0.158399 + 0.0481638i
\(477\) −10.5850 30.6630i −0.484654 1.40396i
\(478\) 6.88896 9.29508i 0.315094 0.425147i
\(479\) 6.98122 + 12.0918i 0.318980 + 0.552490i 0.980276 0.197636i \(-0.0633264\pi\)
−0.661295 + 0.750126i \(0.729993\pi\)
\(480\) −7.38388 4.38349i −0.337027 0.200078i
\(481\) 14.0062 24.2594i 0.638627 1.10613i
\(482\) 0.292079 + 0.673138i 0.0133038 + 0.0306606i
\(483\) −4.47625 1.03158i −0.203677 0.0469384i
\(484\) −35.7487 33.4381i −1.62494 1.51992i
\(485\) −3.78855 3.78855i −0.172029 0.172029i
\(486\) 7.02013 + 20.8978i 0.318440 + 0.947943i
\(487\) 2.93338i 0.132924i 0.997789 + 0.0664621i \(0.0211712\pi\)
−0.997789 + 0.0664621i \(0.978829\pi\)
\(488\) 9.10168 + 6.28609i 0.412014 + 0.284558i
\(489\) −10.3987 + 6.50352i −0.470247 + 0.294099i
\(490\) −2.99077 + 7.57558i −0.135109 + 0.342230i
\(491\) 17.7814 4.76452i 0.802465 0.215020i 0.165799 0.986160i \(-0.446980\pi\)
0.636666 + 0.771140i \(0.280313\pi\)
\(492\) −13.7511 20.4366i −0.619946 0.921355i
\(493\) 6.82126 + 1.82775i 0.307214 + 0.0823178i
\(494\) 12.8250 + 9.50515i 0.577025 + 0.427657i
\(495\) 6.85380 14.0804i 0.308056 0.632866i
\(496\) 13.8767 9.29856i 0.623082 0.417518i
\(497\) −1.42365 2.46583i −0.0638594 0.110608i
\(498\) 11.2167 + 7.71511i 0.502631 + 0.345722i
\(499\) −4.74054 17.6919i −0.212216 0.791999i −0.987128 0.159931i \(-0.948873\pi\)
0.774913 0.632068i \(-0.217794\pi\)
\(500\) 13.7360 8.55415i 0.614294 0.382553i
\(501\) −21.2204 19.7728i −0.948057 0.883383i
\(502\) 17.3651 + 21.8651i 0.775044 + 0.975889i
\(503\) 7.01136i 0.312621i −0.987708 0.156311i \(-0.950040\pi\)
0.987708 0.156311i \(-0.0499601\pi\)
\(504\) 5.35185 + 1.49286i 0.238391 + 0.0664972i
\(505\) 11.1977i 0.498292i
\(506\) −26.7156 + 21.2173i −1.18765 + 0.943225i
\(507\) 13.5208 4.13952i 0.600480 0.183842i
\(508\) 37.4076 + 8.69628i 1.65969 + 0.385835i
\(509\) 1.25064 + 4.66745i 0.0554336 + 0.206881i 0.988088 0.153890i \(-0.0491802\pi\)
−0.932654 + 0.360771i \(0.882514\pi\)
\(510\) −5.90267 0.466748i −0.261375 0.0206679i
\(511\) 0.214965 + 0.372331i 0.00950950 + 0.0164709i
\(512\) −11.6902 19.3736i −0.516641 0.856202i
\(513\) 12.6781 1.34759i 0.559751 0.0594975i
\(514\) 14.6932 19.8251i 0.648090 0.874449i
\(515\) −1.78752 0.478965i −0.0787676 0.0211057i
\(516\) −1.98251 + 2.27541i −0.0872753 + 0.100170i
\(517\) −53.5640 + 14.3524i −2.35574 + 0.631219i
\(518\) −5.24473 2.07057i −0.230440 0.0909756i
\(519\) 25.7885 + 13.6990i 1.13199 + 0.601320i
\(520\) 2.05255 + 11.2176i 0.0900101 + 0.491922i
\(521\) 28.0687i 1.22971i −0.788640 0.614855i \(-0.789215\pi\)
0.788640 0.614855i \(-0.210785\pi\)
\(522\) −7.33889 8.00865i −0.321215 0.350529i
\(523\) 14.5264 + 14.5264i 0.635193 + 0.635193i 0.949366 0.314173i \(-0.101727\pi\)
−0.314173 + 0.949366i \(0.601727\pi\)
\(524\) −0.806982 24.1644i −0.0352532 1.05563i
\(525\) −3.27195 + 3.51149i −0.142800 + 0.153254i
\(526\) 13.5786 5.89183i 0.592054 0.256896i
\(527\) 5.75907 9.97501i 0.250869 0.434518i
\(528\) 33.4483 24.1662i 1.45565 1.05170i
\(529\) −3.29774 5.71185i −0.143380 0.248341i
\(530\) −10.7670 7.97988i −0.467689 0.346624i
\(531\) 20.8369 + 4.03335i 0.904246 + 0.175032i
\(532\) 1.51287 2.83487i 0.0655913 0.122907i
\(533\) −8.46657 + 31.5977i −0.366728 + 1.36865i
\(534\) −4.18325 + 11.7993i −0.181027 + 0.510604i
\(535\) −7.80063 4.50370i −0.337251 0.194712i
\(536\) 2.75021 33.9526i 0.118791 1.46653i
\(537\) −13.6354 + 8.52777i −0.588411 + 0.368001i
\(538\) −23.3173 + 18.5184i −1.00528 + 0.798386i
\(539\) −27.6753 27.6753i −1.19206 1.19206i
\(540\) 7.27198 + 5.48380i 0.312936 + 0.235985i
\(541\) 18.4081 18.4081i 0.791427 0.791427i −0.190299 0.981726i \(-0.560946\pi\)
0.981726 + 0.190299i \(0.0609458\pi\)
\(542\) 2.31539 + 0.265593i 0.0994547 + 0.0114082i
\(543\) −20.1161 32.1644i −0.863264 1.38031i
\(544\) −13.1270 8.43329i −0.562816 0.361575i
\(545\) −3.55201 + 6.15226i −0.152151 + 0.263534i
\(546\) −3.17417 6.66112i −0.135842 0.285070i
\(547\) −15.9583 4.27602i −0.682328 0.182829i −0.0990263 0.995085i \(-0.531573\pi\)
−0.583302 + 0.812256i \(0.698239\pi\)
\(548\) −6.36518 + 1.93543i −0.271907 + 0.0826775i
\(549\) −8.86061 7.69023i −0.378162 0.328211i
\(550\) 5.24197 + 35.2585i 0.223518 + 1.50343i
\(551\) −5.44055 + 3.14110i −0.231775 + 0.133816i
\(552\) −9.12871 17.6175i −0.388544 0.749849i
\(553\) 9.25660 + 5.34430i 0.393631 + 0.227263i
\(554\) −6.29591 + 15.9475i −0.267488 + 0.677543i
\(555\) −6.76246 6.30115i −0.287051 0.267469i
\(556\) 21.6328 0.722436i 0.917433 0.0306381i
\(557\) −15.4219 + 15.4219i −0.653447 + 0.653447i −0.953821 0.300375i \(-0.902888\pi\)
0.300375 + 0.953821i \(0.402888\pi\)
\(558\) −15.7153 + 8.18130i −0.665282 + 0.346342i
\(559\) 4.00789 0.169516
\(560\) 2.17270 0.740721i 0.0918131 0.0313012i
\(561\) 13.3484 25.1285i 0.563571 1.06093i
\(562\) −3.41729 + 1.48279i −0.144150 + 0.0625476i
\(563\) 1.67165 + 6.23868i 0.0704516 + 0.262929i 0.992164 0.124946i \(-0.0398759\pi\)
−0.921712 + 0.387875i \(0.873209\pi\)
\(564\) −2.21339 32.1762i −0.0932004 1.35486i
\(565\) −0.411914 + 1.53728i −0.0173293 + 0.0646740i
\(566\) 15.0354 2.23535i 0.631986 0.0939589i
\(567\) −5.46754 2.19907i −0.229615 0.0923521i
\(568\) 4.13197 11.5841i 0.173374 0.486059i
\(569\) 7.90864 4.56605i 0.331547 0.191419i −0.324981 0.945721i \(-0.605358\pi\)
0.656528 + 0.754302i \(0.272024\pi\)
\(570\) 4.00660 3.41940i 0.167818 0.143223i
\(571\) 27.5804 7.39016i 1.15421 0.309268i 0.369556 0.929208i \(-0.379510\pi\)
0.784649 + 0.619940i \(0.212843\pi\)
\(572\) −53.3776 12.4089i −2.23183 0.518841i
\(573\) 1.75478 + 5.73160i 0.0733071 + 0.239441i
\(574\) 6.54182 + 0.750395i 0.273050 + 0.0313209i
\(575\) 17.1403 0.714799
\(576\) 10.0604 + 21.7896i 0.419183 + 0.907902i
\(577\) 0.350515 0.0145921 0.00729607 0.999973i \(-0.497678\pi\)
0.00729607 + 0.999973i \(0.497678\pi\)
\(578\) 13.1965 + 1.51374i 0.548902 + 0.0629631i
\(579\) −11.6516 + 12.5046i −0.484224 + 0.519675i
\(580\) −4.37127 1.01620i −0.181507 0.0421956i
\(581\) −3.51526 + 0.941911i −0.145838 + 0.0390771i
\(582\) 2.72347 + 14.7249i 0.112891 + 0.610367i
\(583\) 55.7739 32.2011i 2.30992 1.33363i
\(584\) −0.623910 + 1.74915i −0.0258176 + 0.0723805i
\(585\) −0.853197 12.0654i −0.0352754 0.498844i
\(586\) −5.73427 + 0.852527i −0.236881 + 0.0352176i
\(587\) 0.259943 0.970122i 0.0107290 0.0400412i −0.960354 0.278784i \(-0.910069\pi\)
0.971083 + 0.238743i \(0.0767353\pi\)
\(588\) 18.8861 12.7078i 0.778851 0.524060i
\(589\) 2.65198 + 9.89733i 0.109273 + 0.407812i
\(590\) 8.04383 3.49027i 0.331159 0.143692i
\(591\) −6.43308 10.2861i −0.264621 0.423114i
\(592\) −7.85943 23.0534i −0.323021 0.947489i
\(593\) 7.12791 0.292708 0.146354 0.989232i \(-0.453246\pi\)
0.146354 + 0.989232i \(0.453246\pi\)
\(594\) −38.0849 + 21.5682i −1.56264 + 0.884953i
\(595\) 1.11923 1.11923i 0.0458841 0.0458841i
\(596\) −39.5717 + 1.32151i −1.62092 + 0.0541313i
\(597\) 7.54528 32.7407i 0.308808 1.33999i
\(598\) −9.67629 + 24.5099i −0.395693 + 1.00229i
\(599\) −1.83973 1.06217i −0.0751695 0.0433991i 0.461944 0.886909i \(-0.347152\pi\)
−0.537114 + 0.843510i \(0.680485\pi\)
\(600\) −20.7106 0.943536i −0.845505 0.0385197i
\(601\) 32.6223 18.8345i 1.33069 0.768275i 0.345286 0.938497i \(-0.387782\pi\)
0.985406 + 0.170222i \(0.0544485\pi\)
\(602\) −0.118638 0.797984i −0.00483533 0.0325234i
\(603\) −6.86616 + 35.4717i −0.279612 + 1.44452i
\(604\) 11.2562 3.42262i 0.458007 0.139264i
\(605\) 20.7191 + 5.55166i 0.842351 + 0.225707i
\(606\) 17.7362 25.7859i 0.720483 1.04748i
\(607\) 10.2096 17.6835i 0.414393 0.717750i −0.580971 0.813924i \(-0.697327\pi\)
0.995365 + 0.0961740i \(0.0306605\pi\)
\(608\) 13.5622 2.95253i 0.550022 0.119741i
\(609\) 2.90201 0.102479i 0.117596 0.00415266i
\(610\) −4.81559 0.552384i −0.194978 0.0223654i
\(611\) −30.2867 + 30.2867i −1.22527 + 1.22527i
\(612\) 12.8533 + 10.4241i 0.519563 + 0.421370i
\(613\) −10.2801 10.2801i −0.415208 0.415208i 0.468340 0.883548i \(-0.344852\pi\)
−0.883548 + 0.468340i \(0.844852\pi\)
\(614\) −8.46271 + 6.72103i −0.341527 + 0.271239i
\(615\) 9.53248 + 5.06372i 0.384387 + 0.204189i
\(616\) −0.890610 + 10.9950i −0.0358837 + 0.443000i
\(617\) −41.2817 23.8340i −1.66194 0.959521i −0.971788 0.235856i \(-0.924210\pi\)
−0.690152 0.723665i \(-0.742456\pi\)
\(618\) 3.35763 + 3.93423i 0.135064 + 0.158258i
\(619\) −1.41291 + 5.27305i −0.0567896 + 0.211942i −0.988490 0.151286i \(-0.951659\pi\)
0.931700 + 0.363228i \(0.118325\pi\)
\(620\) −3.44628 + 6.45775i −0.138406 + 0.259350i
\(621\) 7.56520 + 19.6390i 0.303581 + 0.788085i
\(622\) 17.7033 + 13.1206i 0.709838 + 0.526090i
\(623\) −1.67328 2.89820i −0.0670385 0.116114i
\(624\) 13.0411 29.0826i 0.522060 1.16424i
\(625\) 7.03430 12.1838i 0.281372 0.487350i
\(626\) −38.1394 + 16.5489i −1.52436 + 0.661428i
\(627\) 7.41010 + 24.2034i 0.295931 + 0.966592i
\(628\) 1.31304 + 39.3180i 0.0523961 + 1.56896i
\(629\) −11.8756 11.8756i −0.473513 0.473513i
\(630\) −2.37701 + 0.527025i −0.0947023 + 0.0209972i
\(631\) 20.7362i 0.825496i 0.910845 + 0.412748i \(0.135431\pi\)
−0.910845 + 0.412748i \(0.864569\pi\)
\(632\) 8.30999 + 45.4157i 0.330554 + 1.80654i
\(633\) 0.118035 + 3.34254i 0.00469148 + 0.132854i
\(634\) −7.18534 2.83671i −0.285366 0.112660i
\(635\) −16.2558 + 4.35574i −0.645094 + 0.172852i
\(636\) 12.1547 + 35.4299i 0.481964 + 1.40489i
\(637\) −29.2004 7.82422i −1.15696 0.310007i
\(638\) 12.8413 17.3265i 0.508394 0.685961i
\(639\) −5.70938 + 11.7293i −0.225860 + 0.464003i
\(640\) 8.51647 + 5.07794i 0.336643 + 0.200723i
\(641\) 3.67059 + 6.35766i 0.144980 + 0.251112i 0.929365 0.369161i \(-0.120355\pi\)
−0.784386 + 0.620273i \(0.787022\pi\)
\(642\) 10.8297 + 22.7265i 0.427413 + 0.896945i
\(643\) −2.23207 8.33019i −0.0880241 0.328511i 0.907846 0.419305i \(-0.137726\pi\)
−0.995870 + 0.0907942i \(0.971059\pi\)
\(644\) 5.16644 + 1.20106i 0.203586 + 0.0473284i
\(645\) 0.296986 1.28869i 0.0116938 0.0507421i
\(646\) 7.49470 5.95223i 0.294875 0.234188i
\(647\) 11.6387i 0.457566i −0.973477 0.228783i \(-0.926525\pi\)
0.973477 0.228783i \(-0.0734746\pi\)
\(648\) −8.05992 24.1462i −0.316624 0.948551i
\(649\) 42.1367i 1.65401i
\(650\) 17.1231 + 21.5604i 0.671623 + 0.845668i
\(651\) 1.06361 4.61525i 0.0416862 0.180886i
\(652\) 12.0218 7.48661i 0.470810 0.293198i
\(653\) −5.20569 19.4279i −0.203715 0.760273i −0.989838 0.142203i \(-0.954581\pi\)
0.786123 0.618070i \(-0.212085\pi\)
\(654\) 17.9241 8.54123i 0.700889 0.333989i
\(655\) 5.29742 + 9.17541i 0.206988 + 0.358513i
\(656\) 15.8331 + 23.6286i 0.618180 + 0.922540i
\(657\) 0.862093 1.77107i 0.0336335 0.0690962i
\(658\) 6.92670 + 5.13366i 0.270031 + 0.200131i
\(659\) −14.5489 3.89836i −0.566744 0.151859i −0.0359413 0.999354i \(-0.511443\pi\)
−0.530803 + 0.847495i \(0.678110\pi\)
\(660\) −7.94522 + 16.2434i −0.309267 + 0.632274i
\(661\) −9.83468 + 2.63519i −0.382525 + 0.102497i −0.444957 0.895552i \(-0.646781\pi\)
0.0624321 + 0.998049i \(0.480114\pi\)
\(662\) 13.4129 33.9748i 0.521308 1.32047i
\(663\) −0.775609 21.9638i −0.0301222 0.853004i
\(664\) −12.9348 8.93344i −0.501968 0.346685i
\(665\) 1.40808i 0.0546030i
\(666\) 5.59200 + 25.2213i 0.216686 + 0.977305i
\(667\) −7.33276 7.33276i −0.283926 0.283926i
\(668\) 24.4594 + 22.8786i 0.946364 + 0.885198i
\(669\) 6.65428 + 21.7347i 0.257269 + 0.840312i
\(670\) 5.94166 + 13.6934i 0.229546 + 0.529022i
\(671\) 11.6465 20.1724i 0.449610 0.778747i
\(672\) −6.17648 1.73564i −0.238263 0.0669537i
\(673\) 16.1240 + 27.9276i 0.621534 + 1.07653i 0.989200 + 0.146571i \(0.0468236\pi\)
−0.367666 + 0.929958i \(0.619843\pi\)
\(674\) 3.32922 4.49202i 0.128237 0.173026i
\(675\) 21.7229 + 3.41441i 0.836116 + 0.131421i
\(676\) −15.6216 + 4.74999i −0.600831 + 0.182692i
\(677\) 9.43821 35.2239i 0.362740 1.35376i −0.507719 0.861523i \(-0.669511\pi\)
0.870459 0.492241i \(-0.163822\pi\)
\(678\) 3.38347 2.88759i 0.129941 0.110897i
\(679\) −3.46674 2.00152i −0.133041 0.0768113i
\(680\) 6.81477 + 0.552008i 0.261335 + 0.0211685i
\(681\) −6.37104 3.38434i −0.244139 0.129688i
\(682\) −21.8762 27.5452i −0.837682 1.05476i
\(683\) −1.95185 1.95185i −0.0746855 0.0746855i 0.668777 0.743463i \(-0.266818\pi\)
−0.743463 + 0.668777i \(0.766818\pi\)
\(684\) −14.6424 + 1.52802i −0.559864 + 0.0584253i
\(685\) 2.06146 2.06146i 0.0787642 0.0787642i
\(686\) −1.43217 + 12.4855i −0.0546807 + 0.476697i
\(687\) −48.3467 + 1.70727i −1.84454 + 0.0651364i
\(688\) 2.29424 2.62303i 0.0874670 0.100002i
\(689\) 24.8719 43.0793i 0.947542 1.64119i
\(690\) 7.16386 + 4.92749i 0.272724 + 0.187586i
\(691\) 1.50428 + 0.403069i 0.0572253 + 0.0153335i 0.287318 0.957835i \(-0.407236\pi\)
−0.230093 + 0.973169i \(0.573903\pi\)
\(692\) −29.7476 15.8753i −1.13083 0.603487i
\(693\) 2.22349 11.4869i 0.0844634 0.436352i
\(694\) −6.60458 + 0.981917i −0.250706 + 0.0372731i
\(695\) −8.21412 + 4.74242i −0.311579 + 0.179890i
\(696\) 8.45650 + 9.26380i 0.320543 + 0.351144i
\(697\) 16.9849 + 9.80626i 0.643351 + 0.371439i
\(698\) 10.5481 + 4.16428i 0.399251 + 0.157620i
\(699\) 2.63760 11.4451i 0.0997631 0.432895i
\(700\) 3.78588 4.04748i 0.143093 0.152980i
\(701\) −21.5819 + 21.5819i −0.815136 + 0.815136i −0.985399 0.170263i \(-0.945538\pi\)
0.170263 + 0.985399i \(0.445538\pi\)
\(702\) −17.1458 + 29.1354i −0.647128 + 1.09964i
\(703\) 14.9404 0.563489
\(704\) −38.6762 + 27.8307i −1.45766 + 1.04891i
\(705\) 7.49407 + 11.9826i 0.282243 + 0.451290i
\(706\) −7.83363 18.0537i −0.294823 0.679461i
\(707\) 2.16535 + 8.08119i 0.0814363 + 0.303925i
\(708\) −24.0514 4.70338i −0.903909 0.176764i
\(709\) −5.51773 + 20.5925i −0.207223 + 0.773366i 0.781538 + 0.623858i \(0.214436\pi\)
−0.988760 + 0.149508i \(0.952231\pi\)
\(710\) 0.792553 + 5.33087i 0.0297440 + 0.200064i
\(711\) −3.45428 48.8484i −0.129545 1.83196i
\(712\) 4.85649 13.6153i 0.182005 0.510256i
\(713\) −14.6479 + 8.45696i −0.548568 + 0.316716i
\(714\) −4.35011 + 0.804581i −0.162799 + 0.0301107i
\(715\) 23.1958 6.21528i 0.867472 0.232438i
\(716\) 15.7636 9.81685i 0.589115 0.366873i
\(717\) 9.65975 10.3670i 0.360750 0.387161i
\(718\) 0.0792239 0.690661i 0.00295661 0.0257752i
\(719\) 28.4354 1.06046 0.530230 0.847854i \(-0.322106\pi\)
0.530230 + 0.847854i \(0.322106\pi\)
\(720\) −8.38482 6.34822i −0.312484 0.236584i
\(721\) −1.38264 −0.0514923
\(722\) 2.09185 18.2364i 0.0778505 0.678688i
\(723\) 0.263087 + 0.859315i 0.00978431 + 0.0319583i
\(724\) 23.1569 + 37.1847i 0.860619 + 1.38196i
\(725\) −10.4660 + 2.80436i −0.388697 + 0.104151i
\(726\) −38.9182 45.6015i −1.44439 1.69243i
\(727\) 23.2100 13.4003i 0.860812 0.496990i −0.00347239 0.999994i \(-0.501105\pi\)
0.864284 + 0.503004i \(0.167772\pi\)
\(728\) 3.65047 + 7.69860i 0.135296 + 0.285329i
\(729\) 5.67568 + 26.3967i 0.210210 + 0.977656i
\(730\) −0.119672 0.804940i −0.00442927 0.0297922i
\(731\) 0.621920 2.32104i 0.0230025 0.0858466i
\(732\) 10.2143 + 8.89949i 0.377532 + 0.328935i
\(733\) −6.44950 24.0699i −0.238218 0.889041i −0.976672 0.214737i \(-0.931110\pi\)
0.738454 0.674304i \(-0.235556\pi\)
\(734\) −4.47055 10.3030i −0.165011 0.380292i
\(735\) −4.67954 + 8.80926i −0.172607 + 0.324935i
\(736\) 10.5019 + 20.3630i 0.387107 + 0.750592i
\(737\) −71.7313 −2.64226
\(738\) −13.9307 26.7592i −0.512797 0.985021i
\(739\) −9.91976 + 9.91976i −0.364904 + 0.364904i −0.865615 0.500711i \(-0.833072\pi\)
0.500711 + 0.865615i \(0.333072\pi\)
\(740\) 7.79467 + 7.29088i 0.286538 + 0.268018i
\(741\) 14.3040 + 13.3282i 0.525469 + 0.489623i
\(742\) −9.31347 3.67687i −0.341908 0.134982i
\(743\) −15.1283 8.73432i −0.555003 0.320431i 0.196134 0.980577i \(-0.437161\pi\)
−0.751137 + 0.660146i \(0.770494\pi\)
\(744\) 18.1645 9.41218i 0.665944 0.345067i
\(745\) 15.0257 8.67507i 0.550497 0.317830i
\(746\) −31.7000 + 4.71292i −1.16062 + 0.172552i
\(747\) 12.5922 + 10.9289i 0.460725 + 0.399868i
\(748\) −15.4690 + 28.9863i −0.565602 + 1.05984i
\(749\) −6.50048 1.74180i −0.237522 0.0636439i
\(750\) 17.8912 8.52552i 0.653293 0.311308i
\(751\) −1.95134 + 3.37983i −0.0712056 + 0.123332i −0.899430 0.437065i \(-0.856018\pi\)
0.828224 + 0.560397i \(0.189351\pi\)
\(752\) 2.48463 + 37.1587i 0.0906052 + 1.35504i
\(753\) 18.1331 + 28.9938i 0.660807 + 1.05659i
\(754\) 1.89831 16.5491i 0.0691322 0.602683i
\(755\) −3.64548 + 3.64548i −0.132673 + 0.132673i
\(756\) 6.30849 + 2.55135i 0.229438 + 0.0927918i
\(757\) 16.8568 + 16.8568i 0.612670 + 0.612670i 0.943641 0.330971i \(-0.107376\pi\)
−0.330971 + 0.943641i \(0.607376\pi\)
\(758\) 30.5586 + 38.4775i 1.10994 + 1.39757i
\(759\) −35.4256 + 22.1557i −1.28587 + 0.804200i
\(760\) −4.63398 + 3.93951i −0.168092 + 0.142901i
\(761\) 34.1207 + 19.6996i 1.23688 + 0.714111i 0.968454 0.249191i \(-0.0801647\pi\)
0.268422 + 0.963302i \(0.413498\pi\)
\(762\) 44.3327 + 15.7175i 1.60601 + 0.569385i
\(763\) −1.37373 + 5.12685i −0.0497325 + 0.185604i
\(764\) −2.01357 6.62215i −0.0728483 0.239581i
\(765\) −7.11968 1.37814i −0.257413 0.0498266i
\(766\) −6.19281 + 8.35579i −0.223755 + 0.301907i
\(767\) 16.2730 + 28.1857i 0.587584 + 1.01773i
\(768\) −11.5685 25.1827i −0.417443 0.908703i
\(769\) 10.1180 17.5249i 0.364866 0.631966i −0.623889 0.781513i \(-0.714448\pi\)
0.988755 + 0.149547i \(0.0477816\pi\)
\(770\) −1.92411 4.43437i −0.0693399 0.159804i
\(771\) 20.6029 22.1113i 0.741996 0.796318i
\(772\) 13.4818 14.4133i 0.485219 0.518747i
\(773\) −2.34590 2.34590i