Properties

Label 144.2.x.e.13.11
Level $144$
Weight $2$
Character 144.13
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 13.11
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.562928 - 1.29735i) q^{2} +(0.388965 - 1.68781i) q^{3} +(-1.36622 - 1.46063i) q^{4} +(0.226831 + 0.846545i) q^{5} +(-1.97072 - 1.45474i) q^{6} +(0.567074 - 0.327400i) q^{7} +(-2.66403 + 0.950239i) q^{8} +(-2.69741 - 1.31300i) q^{9} +O(q^{10})\) \(q+(0.562928 - 1.29735i) q^{2} +(0.388965 - 1.68781i) q^{3} +(-1.36622 - 1.46063i) q^{4} +(0.226831 + 0.846545i) q^{5} +(-1.97072 - 1.45474i) 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} +(5.75313 + 1.54155i) q^{11} +(-2.99668 + 1.73779i) q^{12} +(-4.44367 + 1.19068i) q^{13} +(-0.105530 - 0.919995i) q^{14} +(1.51704 - 0.0535712i) q^{15} +(-0.266866 + 3.99109i) q^{16} +2.75816 q^{17} +(-3.22187 + 2.76036i) q^{18} +(-1.73499 - 1.73499i) q^{19} +(0.926585 - 1.48789i) q^{20} +(-0.332018 - 1.08446i) q^{21} +(5.23852 - 6.59603i) q^{22} +(3.50762 + 2.02512i) q^{23} +(0.567609 + 4.86599i) q^{24} +(3.66494 - 2.11595i) q^{25} +(-0.956743 + 6.43525i) q^{26} +(-3.26530 + 4.04201i) q^{27} +(-1.25296 - 0.380982i) q^{28} +(-0.662669 + 2.47312i) q^{29} +(0.784483 - 1.99828i) q^{30} +(2.08801 - 3.61654i) q^{31} +(5.02760 + 2.59291i) q^{32} +(4.83961 - 9.11059i) q^{33} +(1.55265 - 3.57830i) q^{34} +(0.405789 + 0.405789i) q^{35} +(1.76746 + 5.73377i) q^{36} +(-4.30563 + 4.30563i) q^{37} +(-3.22756 + 1.27421i) q^{38} +(0.281205 + 7.96320i) q^{39} +(-1.40870 - 2.03968i) q^{40} +(-6.15806 - 3.55536i) q^{41} +(-1.59382 - 0.179731i) q^{42} +(-0.841515 - 0.225483i) q^{43} +(-5.60844 - 10.5093i) q^{44} +(0.499657 - 2.58131i) q^{45} +(4.60183 - 3.41060i) q^{46} +(4.65521 + 8.06305i) q^{47} +(6.63240 + 2.00281i) q^{48} +(-3.28562 + 5.69086i) q^{49} +(-0.682031 - 5.94583i) q^{50} +(1.07283 - 4.65526i) q^{51} +(7.81018 + 4.86381i) q^{52} +(-7.64584 + 7.64584i) q^{53} +(3.40577 + 6.51159i) q^{54} +5.21996i q^{55} +(-1.19959 + 1.41106i) q^{56} +(-3.60318 + 2.25348i) q^{57} +(2.83546 + 2.25190i) q^{58} +(-1.83103 - 6.83351i) q^{59} +(-2.15086 - 2.14264i) q^{60} +(1.01219 - 3.77755i) 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} +(-9.09525 - 11.4073i) q^{66} +(-11.6330 + 3.11705i) q^{67} +(-3.76827 - 4.02865i) q^{68} +(4.78237 - 5.13249i) q^{69} +(0.754880 - 0.298020i) q^{70} -4.34835i q^{71} +(8.43364 + 0.934684i) q^{72} +0.656583i q^{73} +(3.16214 + 8.00966i) q^{74} +(-2.14580 - 7.00876i) q^{75} +(-0.163790 + 4.90455i) q^{76} +(3.76715 - 1.00941i) q^{77} +(10.4893 + 4.11789i) 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} +(-1.43847 + 5.36845i) q^{83} +(-1.13038 + 1.96657i) q^{84} +(0.625638 + 2.33491i) q^{85} +(-0.766242 + 0.964806i) q^{86} +(3.91640 + 2.08042i) q^{87} +(-16.7913 + 1.36012i) q^{88} -5.11081i q^{89} +(-3.06759 - 2.10132i) q^{90} +(-2.13006 + 2.13006i) q^{91} +(-1.83424 - 7.89010i) q^{92} +(-5.29187 - 4.93087i) q^{93} +(13.0811 - 1.50050i) q^{94} +(1.07520 - 1.86230i) q^{95} +(6.33191 - 7.47709i) q^{96} +(3.05669 + 5.29434i) q^{97} +(5.53346 + 7.46613i) q^{98} +(-13.4945 - 11.7120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} + O(q^{10}) \) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.562928 1.29735i 0.398050 0.917364i
\(3\) 0.388965 1.68781i 0.224569 0.974458i
\(4\) −1.36622 1.46063i −0.683112 0.730314i
\(5\) 0.226831 + 0.846545i 0.101442 + 0.378587i 0.997917 0.0645072i \(-0.0205475\pi\)
−0.896475 + 0.443094i \(0.853881\pi\)
\(6\) −1.97072 1.45474i −0.804542 0.593895i
\(7\) 0.567074 0.327400i 0.214334 0.123746i −0.388990 0.921242i \(-0.627176\pi\)
0.603324 + 0.797496i \(0.293843\pi\)
\(8\) −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
\(11\) 5.75313 + 1.54155i 1.73463 + 0.464794i 0.981242 0.192778i \(-0.0617498\pi\)
0.753392 + 0.657572i \(0.228416\pi\)
\(12\) −2.99668 + 1.73779i −0.865066 + 0.501658i
\(13\) −4.44367 + 1.19068i −1.23245 + 0.330234i −0.815534 0.578710i \(-0.803556\pi\)
−0.416918 + 0.908944i \(0.636890\pi\)
\(14\) −0.105530 0.919995i −0.0282041 0.245879i
\(15\) 1.51704 0.0535712i 0.391698 0.0138320i
\(16\) −0.266866 + 3.99109i −0.0667165 + 0.997772i
\(17\) 2.75816 0.668953 0.334477 0.942404i \(-0.391441\pi\)
0.334477 + 0.942404i \(0.391441\pi\)
\(18\) −3.22187 + 2.76036i −0.759401 + 0.650622i
\(19\) −1.73499 1.73499i −0.398034 0.398034i 0.479505 0.877539i \(-0.340816\pi\)
−0.877539 + 0.479505i \(0.840816\pi\)
\(20\) 0.926585 1.48789i 0.207191 0.332701i
\(21\) −0.332018 1.08446i −0.0724522 0.236649i
\(22\) 5.23852 6.59603i 1.11686 1.40628i
\(23\) 3.50762 + 2.02512i 0.731389 + 0.422268i 0.818930 0.573893i \(-0.194568\pi\)
−0.0875410 + 0.996161i \(0.527901\pi\)
\(24\) 0.567609 + 4.86599i 0.115863 + 0.993265i
\(25\) 3.66494 2.11595i 0.732988 0.423191i
\(26\) −0.956743 + 6.43525i −0.187633 + 1.26206i
\(27\) −3.26530 + 4.04201i −0.628407 + 0.777885i
\(28\) −1.25296 0.380982i −0.236787 0.0719988i
\(29\) −0.662669 + 2.47312i −0.123055 + 0.459246i −0.999763 0.0217764i \(-0.993068\pi\)
0.876708 + 0.481022i \(0.159734\pi\)
\(30\) 0.784483 1.99828i 0.143226 0.364835i
\(31\) 2.08801 3.61654i 0.375018 0.649550i −0.615312 0.788284i \(-0.710970\pi\)
0.990330 + 0.138734i \(0.0443033\pi\)
\(32\) 5.02760 + 2.59291i 0.888763 + 0.458367i
\(33\) 4.83961 9.11059i 0.842468 1.58595i
\(34\) 1.55265 3.57830i 0.266277 0.613673i
\(35\) 0.405789 + 0.405789i 0.0685909 + 0.0685909i
\(36\) 1.76746 + 5.73377i 0.294577 + 0.955628i
\(37\) −4.30563 + 4.30563i −0.707841 + 0.707841i −0.966081 0.258240i \(-0.916858\pi\)
0.258240 + 0.966081i \(0.416858\pi\)
\(38\) −3.22756 + 1.27421i −0.523579 + 0.206704i
\(39\) 0.281205 + 7.96320i 0.0450288 + 1.27513i
\(40\) −1.40870 2.03968i −0.222736 0.322501i
\(41\) −6.15806 3.55536i −0.961728 0.555254i −0.0650233 0.997884i \(-0.520712\pi\)
−0.896704 + 0.442630i \(0.854046\pi\)
\(42\) −1.59382 0.179731i −0.245933 0.0277331i
\(43\) −0.841515 0.225483i −0.128330 0.0343859i 0.194082 0.980985i \(-0.437827\pi\)
−0.322412 + 0.946599i \(0.604494\pi\)
\(44\) −5.60844 10.5093i −0.845504 1.58433i
\(45\) 0.499657 2.58131i 0.0744845 0.384799i
\(46\) 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 \(0.595733\pi\)
\(48\) 6.63240 + 2.00281i 0.957305 + 0.289081i
\(49\) −3.28562 + 5.69086i −0.469374 + 0.812980i
\(50\) −0.682031 5.94583i −0.0964537 0.840868i
\(51\) 1.07283 4.65526i 0.150226 0.651867i
\(52\) 7.81018 + 4.86381i 1.08308 + 0.674489i
\(53\) −7.64584 + 7.64584i −1.05024 + 1.05024i −0.0515677 + 0.998669i \(0.516422\pi\)
−0.998669 + 0.0515677i \(0.983578\pi\)
\(54\) 3.40577 + 6.51159i 0.463466 + 0.886115i
\(55\) 5.21996i 0.703859i
\(56\) −1.19959 + 1.41106i −0.160302 + 0.188561i
\(57\) −3.60318 + 2.25348i −0.477253 + 0.298481i
\(58\) 2.83546 + 2.25190i 0.372314 + 0.295689i
\(59\) −1.83103 6.83351i −0.238380 0.889647i −0.976596 0.215082i \(-0.930998\pi\)
0.738216 0.674565i \(-0.235669\pi\)
\(60\) −2.15086 2.14264i −0.277675 0.276613i
\(61\) 1.01219 3.77755i 0.129598 0.483666i −0.870364 0.492409i \(-0.836116\pi\)
0.999962 + 0.00874306i \(0.00278304\pi\)
\(62\) −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
\(66\) −9.09525 11.4073i −1.11955 1.40414i
\(67\) −11.6330 + 3.11705i −1.42120 + 0.380809i −0.885908 0.463860i \(-0.846464\pi\)
−0.535289 + 0.844669i \(0.679797\pi\)
\(68\) −3.76827 4.02865i −0.456970 0.488546i
\(69\) 4.78237 5.13249i 0.575730 0.617880i
\(70\) 0.754880 0.298020i 0.0902254 0.0356201i
\(71\) 4.34835i 0.516054i −0.966138 0.258027i \(-0.916928\pi\)
0.966138 0.258027i \(-0.0830723\pi\)
\(72\) 8.43364 + 0.934684i 0.993915 + 0.110154i
\(73\) 0.656583i 0.0768472i 0.999262 + 0.0384236i \(0.0122336\pi\)
−0.999262 + 0.0384236i \(0.987766\pi\)
\(74\) 3.16214 + 8.00966i 0.367591 + 0.931104i
\(75\) −2.14580 7.00876i −0.247775 0.809302i
\(76\) −0.163790 + 4.90455i −0.0187880 + 0.562591i
\(77\) 3.76715 1.00941i 0.429307 0.115032i
\(78\) 10.4893 + 4.11789i 1.18768 + 0.466259i
\(79\) −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
\(83\) −1.43847 + 5.36845i −0.157893 + 0.589264i 0.840948 + 0.541117i \(0.181998\pi\)
−0.998840 + 0.0481470i \(0.984668\pi\)
\(84\) −1.13038 + 1.96657i −0.123335 + 0.214570i
\(85\) 0.625638 + 2.33491i 0.0678599 + 0.253257i
\(86\) −0.766242 + 0.964806i −0.0826260 + 0.104038i
\(87\) 3.91640 + 2.08042i 0.419882 + 0.223044i
\(88\) −16.7913 + 1.36012i −1.78996 + 0.144990i
\(89\) 5.11081i 0.541744i −0.962615 0.270872i \(-0.912688\pi\)
0.962615 0.270872i \(-0.0873121\pi\)
\(90\) −3.06759 2.10132i −0.323352 0.221499i
\(91\) −2.13006 + 2.13006i −0.223291 + 0.223291i
\(92\) −1.83424 7.89010i −0.191233 0.822600i
\(93\) −5.29187 4.93087i −0.548741 0.511308i
\(94\) 13.0811 1.50050i 1.34922 0.154765i
\(95\) 1.07520 1.86230i 0.110313 0.191068i
\(96\) 6.33191 7.47709i 0.646248 0.763127i
\(97\) 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
\(99\) −13.4945 11.7120i −1.35625 1.17711i
\(100\) −8.09775 2.46225i −0.809775 0.246225i
\(101\) −12.3415 3.30688i −1.22802 0.329047i −0.414213 0.910180i \(-0.635943\pi\)
−0.813809 + 0.581133i \(0.802610\pi\)
\(102\) −5.43557 4.01241i −0.538201 0.397288i
\(103\) −1.82866 1.05577i −0.180183 0.104029i 0.407196 0.913341i \(-0.366507\pi\)
−0.587379 + 0.809312i \(0.699840\pi\)
\(104\) 10.7066 7.39454i 1.04987 0.725095i
\(105\) 0.842733 0.527057i 0.0822423 0.0514355i
\(106\) 5.61526 + 14.2234i 0.545402 + 1.38150i
\(107\) 7.26738 7.26738i 0.702564 0.702564i −0.262396 0.964960i \(-0.584513\pi\)
0.964960 + 0.262396i \(0.0845128\pi\)
\(108\) 10.3650 0.752907i 0.997372 0.0724485i
\(109\) 5.73169 + 5.73169i 0.548996 + 0.548996i 0.926150 0.377154i \(-0.123097\pi\)
−0.377154 + 0.926150i \(0.623097\pi\)
\(110\) 6.77210 + 2.93846i 0.645694 + 0.280171i
\(111\) 5.59235 + 8.94183i 0.530802 + 0.848721i
\(112\) 1.15535 + 2.35061i 0.109170 + 0.222112i
\(113\) 0.907975 1.57266i 0.0854151 0.147943i −0.820153 0.572144i \(-0.806112\pi\)
0.905568 + 0.424201i \(0.139445\pi\)
\(114\) 0.895217 + 5.94313i 0.0838448 + 0.556625i
\(115\) −0.918723 + 3.42872i −0.0856713 + 0.319730i
\(116\) 4.51766 2.41092i 0.419454 0.223848i
\(117\) 13.5498 + 2.62279i 1.25268 + 0.242477i
\(118\) −9.89618 1.47129i −0.911017 0.135443i
\(119\) 1.56408 0.903023i 0.143379 0.0827800i
\(120\) −3.99053 + 1.58426i −0.364284 + 0.144623i
\(121\) 21.1959 + 12.2374i 1.92690 + 1.11249i
\(122\) −4.33101 3.43966i −0.392111 0.311412i
\(123\) −8.39605 + 9.01073i −0.757046 + 0.812470i
\(124\) −8.13510 + 1.89120i −0.730554 + 0.169834i
\(125\) 5.72115 + 5.72115i 0.511715 + 0.511715i
\(126\) −0.923295 + 2.62017i −0.0822537 + 0.233423i
\(127\) 19.2026 1.70395 0.851976 0.523581i \(-0.175404\pi\)
0.851976 + 0.523581i \(0.175404\pi\)
\(128\) −3.08155 10.8860i −0.272373 0.962192i
\(129\) −0.707893 + 1.33261i −0.0623265 + 0.117330i
\(130\) −5.66475 + 0.649788i −0.496831 + 0.0569902i
\(131\) 11.6770 3.12885i 1.02023 0.273369i 0.290330 0.956927i \(-0.406235\pi\)
0.729896 + 0.683558i \(0.239568\pi\)
\(132\) −19.9192 + 5.37824i −1.73374 + 0.468115i
\(133\) −1.55190 0.415831i −0.134567 0.0360571i
\(134\) −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 −0.371865 0.928287i \(-0.621281\pi\)
0.617988 + 0.786188i \(0.287948\pi\)
\(138\) −3.96650 9.09362i −0.337651 0.774101i
\(139\) −2.80104 10.4536i −0.237582 0.886666i −0.976968 0.213385i \(-0.931551\pi\)
0.739387 0.673281i \(-0.235116\pi\)
\(140\) 0.0383081 1.14711i 0.00323763 0.0969481i
\(141\) 15.4196 4.72086i 1.29857 0.397568i
\(142\) −5.64132 2.44781i −0.473409 0.205415i
\(143\) −27.4005 −2.29134
\(144\) 5.96015 10.4152i 0.496679 0.867934i
\(145\) −2.24392 −0.186347
\(146\) 0.851816 + 0.369609i 0.0704968 + 0.0305891i
\(147\) 8.32710 + 7.75905i 0.686808 + 0.639956i
\(148\) 12.1714 + 0.406469i 1.00048 + 0.0334115i
\(149\) 5.12380 + 19.1223i 0.419758 + 1.56656i 0.775110 + 0.631827i \(0.217695\pi\)
−0.355351 + 0.934733i \(0.615639\pi\)
\(150\) −10.3007 1.16158i −0.841051 0.0948430i
\(151\) −5.09441 + 2.94126i −0.414577 + 0.239356i −0.692754 0.721174i \(-0.743603\pi\)
0.278177 + 0.960530i \(0.410270\pi\)
\(152\) 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
\(155\) 3.53519 + 0.947251i 0.283953 + 0.0760851i
\(156\) 11.2471 11.2903i 0.900488 0.903944i
\(157\) −18.9997 + 5.09096i −1.51634 + 0.406303i −0.918536 0.395336i \(-0.870628\pi\)
−0.597808 + 0.801640i \(0.703961\pi\)
\(158\) −22.9345 + 2.63075i −1.82457 + 0.209291i
\(159\) 9.93077 + 15.8787i 0.787561 + 1.25926i
\(160\) −1.05460 + 4.84425i −0.0833736 + 0.382971i
\(161\) 2.65210 0.209015
\(162\) 12.3151 3.21551i 0.967562 0.252634i
\(163\) 5.00716 + 5.00716i 0.392191 + 0.392191i 0.875468 0.483277i \(-0.160554\pi\)
−0.483277 + 0.875468i \(0.660554\pi\)
\(164\) 3.22023 + 13.8521i 0.251458 + 1.08166i
\(165\) 8.81030 + 2.03038i 0.685881 + 0.158065i
\(166\) 6.15499 + 4.88825i 0.477720 + 0.379402i
\(167\) −14.5023 8.37292i −1.12222 0.647916i −0.180255 0.983620i \(-0.557692\pi\)
−0.941967 + 0.335704i \(0.891026\pi\)
\(168\) 1.91500 + 2.57354i 0.147746 + 0.198553i
\(169\) 7.07014 4.08195i 0.543857 0.313996i
\(170\) 3.38138 + 0.502718i 0.259340 + 0.0385567i
\(171\) 2.40194 + 6.95802i 0.183681 + 0.532093i
\(172\) 0.820350 + 1.53720i 0.0625511 + 0.117210i
\(173\) 4.36351 16.2848i 0.331751 1.23811i −0.575597 0.817733i \(-0.695230\pi\)
0.907349 0.420379i \(-0.138103\pi\)
\(174\) 4.90368 3.90980i 0.371747 0.296401i
\(175\) 1.38553 2.39980i 0.104736 0.181408i
\(176\) −7.68776 + 22.5499i −0.579487 + 1.69976i
\(177\) −12.2459 + 0.432439i −0.920456 + 0.0325041i
\(178\) −6.63049 2.87702i −0.496976 0.215642i
\(179\) 6.56566 + 6.56566i 0.490740 + 0.490740i 0.908539 0.417799i \(-0.137198\pi\)
−0.417799 + 0.908539i \(0.637198\pi\)
\(180\) −4.45298 + 2.79683i −0.331905 + 0.208464i
\(181\) 15.4877 15.4877i 1.15119 1.15119i 0.164875 0.986315i \(-0.447278\pi\)
0.986315 0.164875i \(-0.0527219\pi\)
\(182\) 1.56436 + 3.96250i 0.115958 + 0.293720i
\(183\) −5.98209 3.17773i −0.442209 0.234904i
\(184\) −11.2687 2.06191i −0.830743 0.152006i
\(185\) −4.62156 2.66826i −0.339784 0.196174i
\(186\) −9.37600 + 4.08967i −0.687482 + 0.299869i
\(187\) 15.8681 + 4.25184i 1.16039 + 0.310925i
\(188\) 5.41707 17.8155i 0.395080 1.29933i
\(189\) −0.528309 + 3.36118i −0.0384288 + 0.244490i
\(190\) −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 \(0.873292\pi\)
\(192\) −6.13598 12.4238i −0.442826 0.896608i
\(193\) 4.93395 8.54585i 0.355153 0.615144i −0.631991 0.774976i \(-0.717762\pi\)
0.987144 + 0.159832i \(0.0510953\pi\)
\(194\) 8.58930 0.985256i 0.616676 0.0707372i
\(195\) −6.67743 + 2.04436i −0.478181 + 0.146399i
\(196\) 12.8011 2.97592i 0.914365 0.212566i
\(197\) 4.95292 4.95292i 0.352881 0.352881i −0.508299 0.861180i \(-0.669726\pi\)
0.861180 + 0.508299i \(0.169726\pi\)
\(198\) −22.7910 + 10.9140i −1.61969 + 0.775627i
\(199\) 19.3983i 1.37511i −0.726132 0.687556i \(-0.758684\pi\)
0.726132 0.687556i \(-0.241316\pi\)
\(200\) −7.75284 + 9.11953i −0.548209 + 0.644848i
\(201\) 0.736162 + 20.8467i 0.0519248 + 1.47042i
\(202\) −11.2375 + 14.1496i −0.790670 + 0.995565i
\(203\) 0.433916 + 1.61940i 0.0304549 + 0.113659i
\(204\) −8.26533 + 4.79312i −0.578689 + 0.335586i
\(205\) 1.61293 6.01954i 0.112652 0.420423i
\(206\) −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
\(210\) −0.209378 1.39001i −0.0144485 0.0959201i
\(211\) 1.86522 0.499784i 0.128407 0.0344066i −0.194043 0.980993i \(-0.562160\pi\)
0.322450 + 0.946586i \(0.395494\pi\)
\(212\) 21.6137 + 0.721798i 1.48443 + 0.0495733i
\(213\) −7.33919 1.69136i −0.502873 0.115890i
\(214\) −5.33730 13.5193i −0.364851 0.924162i
\(215\) 0.763527i 0.0520721i
\(216\) 4.85797 13.8708i 0.330543 0.943791i
\(217\) 2.73446i 0.185627i
\(218\) 10.6625 4.20947i 0.722157 0.285101i
\(219\) 1.10819 + 0.255388i 0.0748844 + 0.0172575i
\(220\) 7.62441 7.13163i 0.514038 0.480814i
\(221\) −12.2564 + 3.28408i −0.824452 + 0.220911i
\(222\) 14.7488 2.22161i 0.989872 0.149105i
\(223\) −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
\(227\) −1.07800 + 4.02317i −0.0715497 + 0.267027i −0.992429 0.122821i \(-0.960806\pi\)
0.920879 + 0.389848i \(0.127473\pi\)
\(228\) 8.21425 + 2.18415i 0.544002 + 0.144649i
\(229\) −7.22892 26.9787i −0.477701 1.78280i −0.610894 0.791713i \(-0.709190\pi\)
0.133193 0.991090i \(-0.457477\pi\)
\(230\) 3.93107 + 3.12203i 0.259207 + 0.205860i
\(231\) −0.238393 6.75086i −0.0156851 0.444174i
\(232\) −0.584681 7.21814i −0.0383862 0.473894i
\(233\) 6.78106i 0.444242i −0.975019 0.222121i \(-0.928702\pi\)
0.975019 0.222121i \(-0.0712980\pi\)
\(234\) 11.0302 16.1023i 0.721068 1.05264i
\(235\) −5.76980 + 5.76980i −0.376380 + 0.376380i
\(236\) −7.47961 + 12.0106i −0.486881 + 0.781820i
\(237\) −27.0344 + 8.27683i −1.75607 + 0.537638i
\(238\) −0.291069 2.53750i −0.0188672 0.164481i
\(239\) −4.09048 + 7.08492i −0.264591 + 0.458286i −0.967456 0.253038i \(-0.918570\pi\)
0.702865 + 0.711323i \(0.251904\pi\)
\(240\) −0.191038 + 6.06893i −0.0123315 + 0.391748i
\(241\) −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
\(243\) 14.1150 6.61563i 0.905478 0.424393i
\(244\) −6.90048 + 3.68255i −0.441758 + 0.235751i
\(245\) −5.56285 1.49056i −0.355397 0.0952285i
\(246\) 6.96368 + 15.9650i 0.443988 + 1.01789i
\(247\) 9.77552 + 5.64390i 0.622002 + 0.359113i
\(248\) −2.12594 + 11.6187i −0.134997 + 0.737786i
\(249\) 8.50141 + 4.51601i 0.538755 + 0.286190i
\(250\) 10.6429 4.20172i 0.673117 0.265740i
\(251\) −13.9609 + 13.9609i −0.881207 + 0.881207i −0.993657 0.112450i \(-0.964130\pi\)
0.112450 + 0.993657i \(0.464130\pi\)
\(252\) 2.87952 + 2.67280i 0.181393 + 0.168371i
\(253\) 17.0580 + 17.0580i 1.07243 + 1.07243i
\(254\) 10.8097 24.9124i 0.678259 1.56314i
\(255\) 4.18424 0.147758i 0.262027 0.00925298i
\(256\) −15.8576 2.13017i −0.991098 0.133136i
\(257\) −8.72443 + 15.1112i −0.544215 + 0.942609i 0.454441 + 0.890777i \(0.349839\pi\)
−0.998656 + 0.0518315i \(0.983494\pi\)
\(258\) 1.33037 + 1.66855i 0.0828252 + 0.103879i
\(259\) −1.03195 + 3.85127i −0.0641220 + 0.239307i
\(260\) −2.34585 + 7.71494i −0.145483 + 0.478460i
\(261\) 5.03469 5.80093i 0.311640 0.359068i
\(262\) 2.51412 16.9105i 0.155323 1.04473i
\(263\) 9.06417 5.23320i 0.558921 0.322693i −0.193791 0.981043i \(-0.562079\pi\)
0.752712 + 0.658350i \(0.228745\pi\)
\(264\) −4.23562 + 28.8696i −0.260684 + 1.77680i
\(265\) −8.20687 4.73824i −0.504144 0.291068i
\(266\) −1.41309 + 1.77927i −0.0866419 + 0.109094i
\(267\) −8.62607 1.98793i −0.527907 0.121659i
\(268\) 20.4461 + 12.7329i 1.24895 + 0.777785i
\(269\) 14.8881 + 14.8881i 0.907746 + 0.907746i 0.996090 0.0883440i \(-0.0281575\pi\)
−0.0883440 + 0.996090i \(0.528157\pi\)
\(270\) −4.73982 + 4.36017i −0.288456 + 0.265351i
\(271\) −1.64797 −0.100107 −0.0500534 0.998747i \(-0.515939\pi\)
−0.0500534 + 0.998747i \(0.515939\pi\)
\(272\) −0.736060 + 11.0081i −0.0446302 + 0.667463i
\(273\) 2.76662 + 4.42366i 0.167443 + 0.267732i
\(274\) −0.536105 4.67368i −0.0323873 0.282347i
\(275\) 24.3467 6.52368i 1.46816 0.393393i
\(276\) −14.0305 + 0.0268728i −0.844534 + 0.00161756i
\(277\) −11.7104 3.13780i −0.703612 0.188532i −0.110764 0.993847i \(-0.535330\pi\)
−0.592848 + 0.805315i \(0.701996\pi\)
\(278\) −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 −0.566496 0.824065i \(-0.691701\pi\)
0.430413 + 0.902632i \(0.358368\pi\)
\(282\) 2.55555 22.6621i 0.152181 1.34951i
\(283\) 2.78192 + 10.3823i 0.165368 + 0.617162i 0.997993 + 0.0633245i \(0.0201703\pi\)
−0.832625 + 0.553837i \(0.813163\pi\)
\(284\) −6.35131 + 5.94081i −0.376881 + 0.352522i
\(285\) −2.72499 2.53910i −0.161414 0.150403i
\(286\) −15.4245 + 35.5480i −0.912070 + 2.10200i
\(287\) −4.65610 −0.274841
\(288\) −10.1570 13.5954i −0.598508 0.801117i
\(289\) −9.39253 −0.552502
\(290\) −1.26317 + 2.91114i −0.0741756 + 0.170948i
\(291\) 10.1248 3.09980i 0.593526 0.181713i
\(292\) 0.959023 0.897039i 0.0561226 0.0524952i
\(293\) −1.06098 3.95963i −0.0619831 0.231324i 0.927984 0.372619i \(-0.121540\pi\)
−0.989968 + 0.141295i \(0.954873\pi\)
\(294\) 14.7537 6.43536i 0.860456 0.375318i
\(295\) 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
\(299\) −17.9980 4.82254i −1.04085 0.278895i
\(300\) −7.30555 + 12.7097i −0.421786 + 0.733797i
\(301\) −0.551024 + 0.147646i −0.0317605 + 0.00851020i
\(302\) 0.948049 + 8.26493i 0.0545541 + 0.475594i
\(303\) −10.3818 + 19.5438i −0.596419 + 1.12276i
\(304\) 7.38750 6.46148i 0.423702 0.370591i
\(305\) 3.42747 0.196256
\(306\) −8.88644 + 7.61352i −0.508004 + 0.435236i
\(307\) 5.40346 + 5.40346i 0.308392 + 0.308392i 0.844286 0.535894i \(-0.180025\pi\)
−0.535894 + 0.844286i \(0.680025\pi\)
\(308\) −6.62114 4.12333i −0.377274 0.234949i
\(309\) −2.49323 + 2.67576i −0.141835 + 0.152219i
\(310\) 3.21897 4.05314i 0.182825 0.230203i
\(311\) 13.4939 + 7.79068i 0.765167 + 0.441769i 0.831148 0.556052i \(-0.187684\pi\)
−0.0659811 + 0.997821i \(0.521018\pi\)
\(312\) −8.31608 20.9470i −0.470806 1.18589i
\(313\) −25.4594 + 14.6990i −1.43905 + 0.830835i −0.997784 0.0665417i \(-0.978803\pi\)
−0.441265 + 0.897377i \(0.645470\pi\)
\(314\) −4.09074 + 27.5151i −0.230854 + 1.55277i
\(315\) −0.561779 1.62738i −0.0316527 0.0916926i
\(316\) −9.49745 + 31.2349i −0.534273 + 1.75710i
\(317\) −1.41378 + 5.27629i −0.0794057 + 0.296346i −0.994196 0.107583i \(-0.965689\pi\)
0.914790 + 0.403929i \(0.132356\pi\)
\(318\) 26.1905 3.94509i 1.46869 0.221230i
\(319\) −7.62485 + 13.2066i −0.426909 + 0.739429i
\(320\) 5.69101 + 4.09515i 0.318137 + 0.228926i
\(321\) −9.43920 15.0927i −0.526845 0.842393i
\(322\) 1.49294 3.44070i 0.0831986 0.191743i
\(323\) −4.78538 4.78538i −0.266266 0.266266i
\(324\) 2.76086 17.7870i 0.153381 0.988167i
\(325\) −13.7664 + 13.7664i −0.763620 + 0.763620i
\(326\) 9.31469 3.67735i 0.515893 0.203670i
\(327\) 11.9034 7.44458i 0.658261 0.411686i
\(328\) 19.7837 + 3.61995i 1.09237 + 0.199878i
\(329\) 5.27969 + 3.04823i 0.291079 + 0.168054i
\(330\) 7.59368 10.2871i 0.418018 0.566284i
\(331\) 24.9481 + 6.68483i 1.37127 + 0.367432i 0.867944 0.496663i \(-0.165441\pi\)
0.503330 + 0.864094i \(0.332108\pi\)
\(332\) 9.80658 5.23343i 0.538206 0.287222i
\(333\) 17.2674 5.96076i 0.946245 0.326648i
\(334\) −19.0263 + 14.1012i −1.04108 + 0.771583i
\(335\) −5.27746 9.14082i −0.288338 0.499416i
\(336\) 4.41678 1.03571i 0.240955 0.0565024i
\(337\) −1.97680 + 3.42392i −0.107683 + 0.186513i −0.914831 0.403836i \(-0.867677\pi\)
0.807148 + 0.590349i \(0.201010\pi\)
\(338\) −1.31573 11.4703i −0.0715660 0.623901i
\(339\) −2.30118 2.14420i −0.124983 0.116457i
\(340\) 2.55567 4.10383i 0.138601 0.222562i
\(341\) 17.5877 17.5877i 0.952425 0.952425i
\(342\) 10.3791 + 0.800716i 0.561237 + 0.0432977i
\(343\) 8.88645i 0.479823i
\(344\) 2.45608 0.198946i 0.132423 0.0107265i
\(345\) 5.42968 + 2.88428i 0.292324 + 0.155285i
\(346\) −18.6707 14.8282i −1.00375 0.797167i
\(347\) −1.22201 4.56059i −0.0656008 0.244825i 0.925337 0.379145i \(-0.123782\pi\)
−0.990938 + 0.134320i \(0.957115\pi\)
\(348\) −2.31196 8.56271i −0.123934 0.459010i
\(349\) 2.07543 7.74559i 0.111095 0.414612i −0.887870 0.460094i \(-0.847816\pi\)
0.998965 + 0.0454819i \(0.0144823\pi\)
\(350\) −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 \(0.712577\pi\)
\(354\) −6.33252 + 16.1306i −0.336570 + 0.857331i
\(355\) 3.68107 0.986340i 0.195371 0.0523495i
\(356\) −7.46498 + 6.98250i −0.395643 + 0.370072i
\(357\) −0.915759 2.99112i −0.0484671 0.158307i
\(358\) 12.2139 4.82195i 0.645526 0.254848i
\(359\) 0.491573i 0.0259443i −0.999916 0.0129721i \(-0.995871\pi\)
0.999916 0.0129721i \(-0.00412927\pi\)
\(360\) 1.12176 + 7.35148i 0.0591220 + 0.387457i
\(361\) 12.9796i 0.683138i
\(362\) −11.3744 28.8113i −0.597828 1.51429i
\(363\) 28.8989 31.0147i 1.51680 1.62785i
\(364\) 6.02136 + 0.201086i 0.315605 + 0.0105398i
\(365\) −0.555827 + 0.148933i −0.0290933 + 0.00779553i
\(366\) −7.49010 + 5.97202i −0.391514 + 0.312162i
\(367\) 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
\(371\) −1.83251 + 6.83901i −0.0951390 + 0.355064i
\(372\) 0.0277073 + 14.4661i 0.00143656 + 0.750034i
\(373\) −5.86527 21.8895i −0.303692 1.13340i −0.934065 0.357103i \(-0.883765\pi\)
0.630373 0.776293i \(-0.282902\pi\)
\(374\) 14.4487 18.1929i 0.747125 0.940734i
\(375\) 11.8815 7.43088i 0.613560 0.383729i
\(376\) −20.0634 17.0566i −1.03469 0.879629i
\(377\) 11.7787i 0.606635i
\(378\) 4.06321 + 2.57750i 0.208989 + 0.132572i
\(379\) −24.5680 + 24.5680i −1.26197 + 1.26197i −0.311839 + 0.950135i \(0.600945\pi\)
−0.950135 + 0.311839i \(0.899055\pi\)
\(380\) −4.18908 + 0.973850i −0.214895 + 0.0499575i
\(381\) 7.46914 32.4103i 0.382655 1.66043i
\(382\) −4.86236 + 0.557749i −0.248780 + 0.0285369i
\(383\) 3.67713 6.36897i 0.187892 0.325439i −0.756655 0.653814i \(-0.773168\pi\)
0.944547 + 0.328375i \(0.106501\pi\)
\(384\) −19.5721 + 0.966811i −0.998782 + 0.0493374i
\(385\) 1.70901 + 2.96010i 0.0870995 + 0.150861i
\(386\) −8.30948 11.2117i −0.422941 0.570663i
\(387\) 1.97385 + 1.71313i 0.100337 + 0.0870833i
\(388\) 3.55694 11.6979i 0.180576 0.593873i
\(389\) 18.6007 + 4.98406i 0.943095 + 0.252702i 0.697430 0.716653i \(-0.254327\pi\)
0.245665 + 0.969355i \(0.420994\pi\)
\(390\) −1.10667 + 9.81377i −0.0560385 + 0.496940i
\(391\) 9.67459 + 5.58563i 0.489265 + 0.282477i
\(392\) 3.34530 18.2827i 0.168963 0.923417i
\(393\) −0.738947 20.9256i −0.0372750 1.05556i
\(394\) −3.63752 9.21380i −0.183256 0.464185i
\(395\) 10.1159 10.1159i 0.508985 0.508985i
\(396\) 1.32958 + 35.7117i 0.0668139 + 1.79458i
\(397\) −23.3235 23.3235i −1.17057 1.17057i −0.982073 0.188500i \(-0.939638\pi\)
−0.188500 0.982073i \(-0.560362\pi\)
\(398\) −25.1664 10.9199i −1.26148 0.547364i
\(399\) −1.30548 + 2.45757i −0.0653558 + 0.123033i
\(400\) 7.46691 + 15.1918i 0.373346 + 0.759589i
\(401\) −4.61036 + 7.98538i −0.230231 + 0.398771i −0.957876 0.287183i \(-0.907281\pi\)
0.727645 + 0.685954i \(0.240615\pi\)
\(402\) 27.4599 + 10.7802i 1.36957 + 0.537665i
\(403\) −4.97229 + 18.5568i −0.247687 + 0.924382i
\(404\) 12.0311 + 22.5442i 0.598568 + 1.12162i
\(405\) −4.73704 + 6.30681i −0.235386 + 0.313388i
\(406\) 2.34519 + 0.348664i 0.116390 + 0.0173039i
\(407\) −31.4082 + 18.1335i −1.55685 + 0.898845i
\(408\) 1.56556 + 13.4212i 0.0775067 + 0.664448i
\(409\) 17.2773 + 9.97503i 0.854306 + 0.493234i 0.862101 0.506736i \(-0.169148\pi\)
−0.00779552 + 0.999970i \(0.502481\pi\)
\(410\) −6.90148 5.48111i −0.340840 0.270693i
\(411\) −1.68669 5.50919i −0.0831982 0.271748i
\(412\) 0.956259 + 4.11341i 0.0471115 + 0.202653i
\(413\) −3.27562 3.27562i −0.161183 0.161183i
\(414\) −16.8912 + 3.15760i −0.830155 + 0.155187i
\(415\) −4.87092 −0.239104
\(416\) −25.4283 5.53580i −1.24673 0.271415i
\(417\) −18.7333 + 0.661529i −0.917373 + 0.0323952i
\(418\) −20.5328 + 2.35526i −1.00429 + 0.115200i
\(419\) −29.3307 + 7.85913i −1.43290 + 0.383943i −0.890040 0.455882i \(-0.849324\pi\)
−0.542856 + 0.839826i \(0.682657\pi\)
\(420\) −1.92120 0.510841i −0.0937448 0.0249265i
\(421\) 10.0922 + 2.70420i 0.491864 + 0.131795i 0.496222 0.868196i \(-0.334720\pi\)
−0.00435733 + 0.999991i \(0.501387\pi\)
\(422\) 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
\(426\) −6.32571 + 8.56937i −0.306482 + 0.415187i
\(427\) −0.662784 2.47354i −0.0320744 0.119703i
\(428\) −20.5438 0.686069i −0.993022 0.0331624i
\(429\) −10.6578 + 46.2468i −0.514565 + 2.23282i
\(430\) −0.990560 0.429811i −0.0477690 0.0207273i
\(431\) 11.3639 0.547382 0.273691 0.961818i \(-0.411756\pi\)
0.273691 + 0.961818i \(0.411756\pi\)
\(432\) −15.2606 14.1108i −0.734227 0.678904i
\(433\) −9.65126 −0.463810 −0.231905 0.972738i \(-0.574496\pi\)
−0.231905 + 0.972738i \(0.574496\pi\)
\(434\) −3.54754 1.53930i −0.170288 0.0738890i
\(435\) −0.872807 + 3.78731i −0.0418479 + 0.181588i
\(436\) 0.541094 16.2026i 0.0259137 0.775965i
\(437\) −2.57211 9.59925i −0.123041 0.459194i
\(438\) 0.955157 1.29394i 0.0456392 0.0618268i
\(439\) 13.6132 7.85957i 0.649722 0.375117i −0.138628 0.990345i \(-0.544269\pi\)
0.788350 + 0.615228i \(0.210936\pi\)
\(440\) −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
\(443\) 18.5526 + 4.97116i 0.881461 + 0.236187i 0.671037 0.741424i \(-0.265849\pi\)
0.210424 + 0.977610i \(0.432516\pi\)
\(444\) 5.42029 20.3849i 0.257235 0.967424i
\(445\) 4.32653 1.15929i 0.205097 0.0549556i
\(446\) −18.4385 + 2.11503i −0.873087 + 0.100150i
\(447\) 34.2678 1.21010i 1.62081 0.0572358i
\(448\) 1.85490 4.89900i 0.0876360 0.231456i
\(449\) 35.3101 1.66639 0.833194 0.552982i \(-0.186510\pi\)
0.833194 + 0.552982i \(0.186510\pi\)
\(450\) −5.96716 + 16.9339i −0.281295 + 0.798270i
\(451\) −29.9474 29.9474i −1.41017 1.41017i
\(452\) −3.53756 + 0.822390i −0.166393 + 0.0386820i
\(453\) 2.98274 + 9.74244i 0.140141 + 0.457740i
\(454\) 4.61261 + 3.66330i 0.216481 + 0.171927i
\(455\) −2.28636 1.32003i −0.107186 0.0618839i
\(456\) 7.45764 9.42723i 0.349236 0.441470i
\(457\) −0.565406 + 0.326437i −0.0264486 + 0.0152701i −0.513166 0.858289i \(-0.671527\pi\)
0.486717 + 0.873559i \(0.338194\pi\)
\(458\) −39.0701 5.80865i −1.82563 0.271420i
\(459\) −9.00622 + 11.1485i −0.420374 + 0.520369i
\(460\) 6.26326 3.34249i 0.292026 0.155844i
\(461\) 1.04853 3.91317i 0.0488350 0.182255i −0.937200 0.348792i \(-0.886592\pi\)
0.986035 + 0.166537i \(0.0532586\pi\)
\(462\) −8.89242 3.49097i −0.413713 0.162415i
\(463\) −21.0971 + 36.5413i −0.980466 + 1.69822i −0.319894 + 0.947453i \(0.603647\pi\)
−0.660571 + 0.750763i \(0.729686\pi\)
\(464\) −9.69358 3.30476i −0.450013 0.153420i
\(465\) 2.97385 5.59828i 0.137909 0.259614i
\(466\) −8.79739 3.81725i −0.407531 0.176831i
\(467\) −0.180878 0.180878i −0.00837005 0.00837005i 0.702909 0.711279i \(-0.251884\pi\)
−0.711279 + 0.702909i \(0.751884\pi\)
\(468\) −14.6811 23.3745i −0.678633 1.08049i
\(469\) −5.57625 + 5.57625i −0.257487 + 0.257487i
\(470\) 4.23745 + 10.7334i 0.195459 + 0.495095i
\(471\) 1.20234 + 34.0482i 0.0554011 + 1.56886i
\(472\) 11.3714 + 16.4647i 0.523410 + 0.757851i
\(473\) −4.49375 2.59447i −0.206623 0.119294i
\(474\) −4.48050 + 39.7323i −0.205796 + 1.82496i
\(475\) −10.0298 2.68747i −0.460198 0.123310i
\(476\) −3.45587 1.05081i −0.158399 0.0481638i
\(477\) 30.6630 10.5850i 1.40396 0.484654i
\(478\) 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 \(0.729993\pi\)
\(480\) 7.76597 + 3.66421i 0.354466 + 0.167248i
\(481\) 14.0062 24.2594i 0.638627 1.10613i
\(482\) −0.728994 + 0.0836209i −0.0332048 + 0.00380883i
\(483\) 1.03158 4.47625i 0.0469384 0.203677i
\(484\) −11.0839 47.6783i −0.503816 2.16720i
\(485\) −3.78855 + 3.78855i −0.172029 + 0.172029i
\(486\) −0.637038 22.0362i −0.0288966 0.999582i
\(487\) 2.93338i 0.132924i −0.997789 0.0664621i \(-0.978829\pi\)
0.997789 0.0664621i \(-0.0211712\pi\)
\(488\) 0.893069 + 11.0253i 0.0404274 + 0.499093i
\(489\) 10.3987 6.50352i 0.470247 0.294099i
\(490\) −5.06526 + 6.37787i −0.228825 + 0.288123i
\(491\) −4.76452 17.7814i −0.215020 0.802465i −0.986160 0.165799i \(-0.946980\pi\)
0.771140 0.636666i \(-0.219687\pi\)
\(492\) 24.6322 0.0471786i 1.11051 0.00212698i
\(493\) −1.82775 + 6.82126i −0.0823178 + 0.307214i
\(494\) 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
\(498\) 10.6445 8.48710i 0.476992 0.380316i
\(499\) 17.6919 4.74054i 0.791999 0.212216i 0.159931 0.987128i \(-0.448873\pi\)
0.632068 + 0.774913i \(0.282206\pi\)
\(500\) 0.540099 16.1728i 0.0241540 0.723271i
\(501\) −19.7728 + 21.2204i −0.883383 + 0.948057i
\(502\) 10.2532 + 25.9712i 0.457623 + 1.15915i
\(503\) 7.01136i 0.312621i 0.987708 + 0.156311i \(0.0499601\pi\)
−0.987708 + 0.156311i \(0.950040\pi\)
\(504\) 5.08851 2.23114i 0.226660 0.0993830i
\(505\) 11.1977i 0.498292i
\(506\) 31.7325 12.5277i 1.41068 0.556924i
\(507\) −4.13952 13.5208i −0.183842 0.600480i
\(508\) −26.2350 28.0478i −1.16399 1.24442i
\(509\) −4.66745 + 1.25064i −0.206881 + 0.0554336i −0.360771 0.932654i \(-0.617486\pi\)
0.153890 + 0.988088i \(0.450820\pi\)
\(510\) 2.16373 5.51159i 0.0958117 0.244057i
\(511\) 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
\(515\) 0.478965 1.78752i 0.0211057 0.0787676i
\(516\) 2.91359 0.786678i 0.128264 0.0346316i
\(517\) 14.3524 + 53.5640i 0.631219 + 2.35574i
\(518\) 4.41553 + 3.50678i 0.194007 + 0.154079i
\(519\) −25.7885 13.6990i −1.13199 0.601320i
\(520\) 8.68841 + 7.38633i 0.381012 + 0.323912i
\(521\) 28.0687i 1.22971i 0.788640 + 0.614855i \(0.210785\pi\)
−0.788640 + 0.614855i \(0.789215\pi\)
\(522\) −4.69165 9.79726i −0.205348 0.428814i
\(523\) 14.5264 14.5264i 0.635193 0.635193i −0.314173 0.949366i \(-0.601727\pi\)
0.949366 + 0.314173i \(0.101727\pi\)
\(524\) −20.5235 12.7811i −0.896574 0.558344i
\(525\) −3.51149 3.27195i −0.153254 0.142800i
\(526\) −1.68681 14.7053i −0.0735482 0.641182i
\(527\) 5.75907 9.97501i 0.250869 0.434518i
\(528\) 35.0696 + 21.7466i 1.52621 + 0.946400i
\(529\) −3.29774 5.71185i −0.143380 0.248341i
\(530\) −10.7670 + 7.97988i −0.467689 + 0.346624i
\(531\) −4.03335 + 20.8369i −0.175032 + 0.904246i
\(532\) 1.51287 + 2.83487i 0.0655913 + 0.122907i
\(533\) 31.5977 + 8.46657i 1.36865 + 0.366728i
\(534\) −7.43489 + 10.0720i −0.321739 + 0.435856i
\(535\) 7.80063 + 4.50370i 0.337251 + 0.194712i
\(536\) 28.0287 19.3581i 1.21066 0.836141i
\(537\) 13.6354 8.52777i 0.588411 0.368001i
\(538\) 27.6961 10.9341i 1.19406 0.471404i
\(539\) −27.6753 + 27.6753i −1.19206 + 1.19206i
\(540\) 2.98847 + 8.60366i 0.128603 + 0.370242i
\(541\) 18.4081 + 18.4081i 0.791427 + 0.791427i 0.981726 0.190299i \(-0.0609458\pi\)
−0.190299 + 0.981726i \(0.560946\pi\)
\(542\) −0.927687 + 2.13799i −0.0398476 + 0.0918343i
\(543\) −20.1161 32.1644i −0.863264 1.38031i
\(544\) 13.8670 + 7.15168i 0.594541 + 0.306626i
\(545\) −3.55201 + 6.15226i −0.152151 + 0.263534i
\(546\) 7.29643 1.09907i 0.312258 0.0470356i
\(547\) 4.27602 15.9583i 0.182829 0.682328i −0.812256 0.583302i \(-0.801761\pi\)
0.995085 0.0990263i \(-0.0315728\pi\)
\(548\) −6.36518 1.93543i −0.271907 0.0826775i
\(549\) −7.69023 + 8.86061i −0.328211 + 0.378162i
\(550\) 5.24197 35.2585i 0.223518 1.50343i
\(551\) 5.44055 3.14110i 0.231775 0.133816i
\(552\) −7.86327 + 18.2175i −0.334683 + 0.775388i
\(553\) −9.25660 5.34430i −0.393631 0.227263i
\(554\) −10.6630 + 13.4262i −0.453026 + 0.570423i
\(555\) −6.30115 + 6.76246i −0.267469 + 0.287051i
\(556\) −11.4420 + 18.3733i −0.485250 + 0.779201i
\(557\) −15.4219 15.4219i −0.653447 0.653447i 0.300375 0.953821i \(-0.402888\pi\)
−0.953821 + 0.300375i \(0.902888\pi\)
\(558\) 3.25565 + 17.4157i 0.137823 + 0.737264i
\(559\) 4.00789 0.169516
\(560\) −1.72783 + 1.51125i −0.0730142 + 0.0638619i
\(561\) 13.3484 25.1285i 0.563571 1.06093i
\(562\) 0.424515 + 3.70086i 0.0179071 + 0.156111i
\(563\) −6.23868 + 1.67165i −0.262929 + 0.0704516i −0.387875 0.921712i \(-0.626791\pi\)
0.124946 + 0.992164i \(0.460124\pi\)
\(564\) −27.9621 16.0726i −1.17742 0.676778i
\(565\) 1.53728 + 0.411914i 0.0646740 + 0.0173293i
\(566\) 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 −0.656528 0.754302i \(-0.727976\pi\)
0.324981 + 0.945721i \(0.394642\pi\)
\(570\) −4.82807 + 2.10593i −0.202225 + 0.0882077i
\(571\) −7.39016 27.5804i −0.309268 1.15421i −0.929208 0.369556i \(-0.879510\pi\)
0.619940 0.784649i \(-0.287157\pi\)
\(572\) 37.4352 + 40.0219i 1.56524 + 1.67340i
\(573\) −5.73160 + 1.75478i −0.239441 + 0.0733071i
\(574\) −2.62105 + 6.04058i −0.109401 + 0.252129i
\(575\) 17.1403 0.714799
\(576\) −23.3556 + 5.52395i −0.973152 + 0.230165i
\(577\) 0.350515 0.0145921 0.00729607 0.999973i \(-0.497678\pi\)
0.00729607 + 0.999973i \(0.497678\pi\)
\(578\) −5.28732 + 12.1854i −0.219924 + 0.506845i
\(579\) −12.5046 11.6516i −0.519675 0.484224i
\(580\) 3.06569 + 3.27753i 0.127296 + 0.136092i
\(581\) 0.941911 + 3.51526i 0.0390771 + 0.145838i
\(582\) 1.67802 14.8803i 0.0695560 0.616810i
\(583\) −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
\(587\) −0.970122 0.259943i −0.0400412 0.0107290i 0.238743 0.971083i \(-0.423265\pi\)
−0.278784 + 0.960354i \(0.589931\pi\)
\(588\) −0.0435992 22.7634i −0.00179800 0.938746i
\(589\) −9.89733 + 2.65198i −0.407812 + 0.109273i
\(590\) −0.999249 8.71130i −0.0411384 0.358638i
\(591\) −6.43308 10.2861i −0.264621 0.423114i
\(592\) −16.0351 18.3332i −0.659040 0.753489i
\(593\) 7.12791 0.292708 0.146354 0.989232i \(-0.453246\pi\)
0.146354 + 0.989232i \(0.453246\pi\)
\(594\) 9.55590 + 42.7122i 0.392083 + 1.75250i
\(595\) 1.11923 + 1.11923i 0.0458841 + 0.0458841i
\(596\) 20.9303 33.6093i 0.857338 1.37669i
\(597\) −32.7407 7.54528i −1.33999 0.308808i
\(598\) −16.3881 + 20.6349i −0.670158 + 0.843823i
\(599\) 1.83973 + 1.06217i 0.0751695 + 0.0433991i 0.537114 0.843510i \(-0.319515\pi\)
−0.461944 + 0.886909i \(0.652848\pi\)
\(600\) 12.3765 + 16.6325i 0.505267 + 0.679020i
\(601\) −32.6223 + 18.8345i −1.33069 + 0.768275i −0.985406 0.170222i \(-0.945551\pi\)
−0.345286 + 0.938497i \(0.612218\pi\)
\(602\) −0.118638 + 0.797984i −0.00483533 + 0.0325234i
\(603\) 35.4717 + 6.86616i 1.44452 + 0.279612i
\(604\) 11.2562 + 3.42262i 0.458007 + 0.139264i
\(605\) −5.55166 + 20.7191i −0.225707 + 0.842351i
\(606\) 19.5109 + 24.4706i 0.792576 + 0.994048i
\(607\) 10.2096 17.6835i 0.414393 0.717750i −0.580971 0.813924i \(-0.697327\pi\)
0.995365 + 0.0961740i \(0.0306605\pi\)
\(608\) −4.22416 13.2215i −0.171312 0.536203i
\(609\) 2.90201 0.102479i 0.117596 0.00415266i
\(610\) 1.92942 4.44662i 0.0781198 0.180038i
\(611\) −30.2867 30.2867i −1.22527 1.22527i
\(612\) 4.87495 + 15.8147i 0.197058 + 0.639270i
\(613\) −10.2801 + 10.2801i −0.415208 + 0.415208i −0.883548 0.468340i \(-0.844852\pi\)
0.468340 + 0.883548i \(0.344852\pi\)
\(614\) 10.0519 3.96841i 0.405663 0.160152i
\(615\) −9.53248 5.06372i −0.384387 0.204189i
\(616\) −9.07662 + 6.26878i −0.365708 + 0.252576i
\(617\) 41.2817 + 23.8340i 1.66194 + 0.959521i 0.971788 + 0.235856i \(0.0757895\pi\)
0.690152 + 0.723665i \(0.257544\pi\)
\(618\) 2.06789 + 4.74085i 0.0831826 + 0.190705i
\(619\) 5.27305 + 1.41291i 0.211942 + 0.0567896i 0.363228 0.931700i \(-0.381675\pi\)
−0.151286 + 0.988490i \(0.548341\pi\)
\(620\) −3.44628 6.45775i −0.138406 0.259350i
\(621\) −19.6390 + 7.56520i −0.788085 + 0.303581i
\(622\) 17.7033 13.1206i 0.709838 0.526090i
\(623\) −1.67328 2.89820i −0.0670385 0.116114i
\(624\) −31.8569 1.00280i −1.27530 0.0401439i
\(625\) 7.03430 12.1838i 0.281372 0.487350i
\(626\) 4.73789 + 41.3041i 0.189364 + 1.65085i
\(627\) −24.2034 + 7.41010i −0.966592 + 0.295931i
\(628\) 33.3939 + 20.7961i 1.33256 + 0.829857i
\(629\) −11.8756 + 11.8756i −0.473513 + 0.473513i
\(630\) −2.42752 0.187276i −0.0967148 0.00746125i
\(631\) 20.7362i 0.825496i −0.910845 0.412748i \(-0.864569\pi\)
0.910845 0.412748i \(-0.135431\pi\)
\(632\) 35.1761 + 29.9045i 1.39923 + 1.18954i
\(633\) −0.118035 3.34254i −0.00469148 0.132854i
\(634\) 6.04933 + 4.80434i 0.240250 + 0.190805i
\(635\) 4.35574 + 16.2558i 0.172852 + 0.645094i
\(636\) 9.62522 36.1990i 0.381665 1.43538i
\(637\) 7.82422 29.2004i 0.310007 1.15696i
\(638\) 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 \(0.787022\pi\)
\(642\) −24.8941 + 3.74981i −0.982492 + 0.147993i
\(643\) 8.33019 2.23207i 0.328511 0.0880241i −0.0907942 0.995870i \(-0.528941\pi\)
0.419305 + 0.907846i \(0.362274\pi\)
\(644\) −3.62337 3.87374i −0.142781 0.152647i
\(645\) −1.28869 0.296986i −0.0507421 0.0116938i
\(646\) −8.90213 + 3.51448i −0.350250 + 0.138275i
\(647\) 11.6387i 0.457566i 0.973477 + 0.228783i \(0.0734746\pi\)
−0.973477 + 0.228783i \(0.926525\pi\)
\(648\) −21.5218 13.5946i −0.845455 0.534047i
\(649\) 42.1367i 1.65401i
\(650\) 10.1103 + 25.6092i 0.396558 + 1.00448i
\(651\) −4.61525 1.06361i −0.180886 0.0416862i
\(652\) 0.472695 14.1545i 0.0185122 0.554332i
\(653\) 19.4279 5.20569i 0.760273 0.203715i 0.142203 0.989838i \(-0.454581\pi\)
0.618070 + 0.786123i \(0.287915\pi\)
\(654\) −2.95743 19.6337i −0.115645 0.767737i
\(655\) 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
\(659\) 3.89836 14.5489i 0.151859 0.566744i −0.847495 0.530803i \(-0.821890\pi\)
0.999354 0.0359413i \(-0.0114429\pi\)
\(660\) −9.07121 15.6425i −0.353096 0.608884i
\(661\) 2.63519 + 9.83468i 0.102497 + 0.382525i 0.998049 0.0624321i \(-0.0198857\pi\)
−0.895552 + 0.444957i \(0.853219\pi\)
\(662\) 22.7166 28.6033i 0.882904 1.11170i
\(663\) 0.775609 + 21.9638i 0.0301222 + 0.853004i
\(664\) −1.26918 15.6686i −0.0492538 0.608059i
\(665\) 1.40808i 0.0546030i
\(666\) 1.98709 25.7572i 0.0769983 0.998073i
\(667\) −7.33276 + 7.33276i −0.283926 + 0.283926i
\(668\) 7.58369 + 32.6218i 0.293422 + 1.26217i
\(669\) −21.7347 + 6.65428i −0.840312 + 0.257269i
\(670\) −14.8297 + 1.70107i −0.572919 + 0.0657181i
\(671\) 11.6465 20.1724i 0.449610 0.778747i
\(672\) 1.14266 6.31313i 0.0440791 0.243534i
\(673\) 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
\(675\) −3.41441 + 21.7229i −0.131421 + 0.836116i
\(676\) −15.6216 4.74999i −0.600831 0.182692i
\(677\) −35.2239 9.43821i −1.35376 0.362740i −0.492241 0.870459i \(-0.663822\pi\)
−0.861523 + 0.507719i \(0.830489\pi\)
\(678\) −4.07717 + 1.77840i −0.156583 + 0.0682990i
\(679\) 3.46674 + 2.00152i 0.133041 + 0.0768113i
\(680\) −3.88544 5.62576i −0.149000 0.215738i
\(681\) 6.37104 + 3.38434i 0.244139 + 0.129688i
\(682\) −12.9167 32.7179i −0.494607 1.25283i
\(683\) −1.95185 + 1.95185i −0.0746855 + 0.0746855i −0.743463 0.668777i \(-0.766818\pi\)
0.668777 + 0.743463i \(0.266818\pi\)
\(684\) 6.88149 13.0145i 0.263120 0.497624i
\(685\) 2.06146 + 2.06146i 0.0787642 + 0.0787642i
\(686\) 11.5288 + 5.00243i 0.440172 + 0.190994i
\(687\) −48.3467 + 1.70727i −1.84454 + 0.0651364i
\(688\) 1.12449 3.29838i 0.0428710 0.125750i
\(689\) 24.8719 43.0793i 0.947542 1.64119i
\(690\) 6.79844 5.42054i 0.258812 0.206356i
\(691\) −0.403069 + 1.50428i −0.0153335 + 0.0572253i −0.973169 0.230093i \(-0.926097\pi\)
0.957835 + 0.287318i \(0.0927637\pi\)
\(692\) −29.7476 + 15.8753i −1.13083 + 0.603487i
\(693\) −11.4869 2.22349i −0.436352 0.0844634i
\(694\) −6.60458 0.981917i −0.250706 0.0372731i
\(695\) 8.21412 4.74242i 0.311579 0.179890i
\(696\) −12.4103 1.82078i −0.470411 0.0690164i
\(697\) −16.9849 9.80626i −0.643351 0.371439i
\(698\) −8.88042 7.05276i −0.336129 0.266951i
\(699\) −11.4451 2.63760i −0.432895 0.0997631i
\(700\) −5.39816 + 1.25493i −0.204031 + 0.0474319i
\(701\) −21.5819 21.5819i −0.815136 0.815136i 0.170263 0.985399i \(-0.445538\pi\)
−0.985399 + 0.170263i \(0.945538\pi\)
\(702\) −22.8873 24.8802i −0.863825 0.939041i
\(703\) 14.9404 0.563489
\(704\) 43.4402 19.5792i 1.63721 0.737919i
\(705\) 7.49407 + 11.9826i 0.282243 + 0.451290i
\(706\) 19.5518 2.24273i 0.735841 0.0844064i
\(707\) −8.08119 + 2.16535i −0.303925 + 0.0814363i
\(708\) 17.3622 + 17.2959i 0.652513 + 0.650018i
\(709\) 20.5925 + 5.51773i 0.773366 + 0.207223i 0.623858 0.781538i \(-0.285564\pi\)
0.149508 + 0.988760i \(0.452231\pi\)
\(710\) 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
\(714\) −4.39603 0.495728i −0.164517 0.0185522i
\(715\) −6.21528 23.1958i −0.232438 0.867472i
\(716\) 0.619824 18.5601i 0.0231639 0.693625i
\(717\) 10.3670 + 9.65975i 0.387161 + 0.360750i
\(718\) −0.637742 0.276721i −0.0238003 0.0103271i
\(719\) 28.4354 1.06046 0.530230 0.847854i \(-0.322106\pi\)
0.530230 + 0.847854i \(0.322106\pi\)
\(720\) 10.1689 + 2.68304i 0.378972 + 0.0999910i
\(721\) −1.38264 −0.0514923
\(722\) −16.8391 7.30660i −0.626686 0.271923i
\(723\) −0.859315 + 0.263087i −0.0319583 + 0.00978431i
\(724\) −43.7813 1.46210i −1.62712 0.0543384i
\(725\) 2.80436 + 10.4660i 0.104151 + 0.388697i
\(726\) −23.9688 54.9510i −0.889565 2.03942i
\(727\) −23.2100 + 13.4003i −0.860812 + 0.496990i −0.864284 0.503004i \(-0.832228\pi\)
0.00347239 + 0.999994i \(0.498895\pi\)
\(728\) 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
\(731\) −2.32104 0.621920i −0.0858466 0.0230025i
\(732\) 3.53139 + 13.0791i 0.130524 + 0.483417i
\(733\) 24.0699 6.44950i 0.889041 0.238218i 0.214737 0.976672i \(-0.431110\pi\)
0.674304 + 0.738454i \(0.264444\pi\)
\(734\) 11.1580 1.27990i 0.411848 0.0472420i
\(735\) −4.67954 + 8.80926i −0.172607 + 0.324935i
\(736\) 12.3839 + 19.2765i 0.456478 + 0.710540i
\(737\) −71.7313 −2.64226
\(738\) 29.6545 5.54355i 1.09160 0.204061i
\(739\) −9.91976 9.91976i −0.364904 0.364904i 0.500711 0.865615i \(-0.333072\pi\)
−0.865615 + 0.500711i \(0.833072\pi\)
\(740\) 2.41675 + 10.3958i 0.0888416 + 0.382158i
\(741\) 13.3282 14.3040i 0.489623 0.525469i
\(742\) 7.84100 + 6.22727i 0.287852 + 0.228610i
\(743\) 15.1283 + 8.73432i 0.555003 + 0.320431i 0.751137 0.660146i \(-0.229506\pi\)
−0.196134 + 0.980577i \(0.562839\pi\)
\(744\) 18.7832 + 8.10745i 0.688626 + 0.297233i
\(745\) −15.0257 + 8.67507i −0.550497 + 0.317830i
\(746\) −31.7000 4.71292i −1.16062 0.172552i
\(747\) 10.9289 12.5922i 0.399868 0.460725i
\(748\) −15.4690 28.9863i −0.565602 1.05984i
\(749\) 1.74180 6.50048i 0.0636439 0.237522i
\(750\) −2.95199 19.5975i −0.107791 0.715601i
\(751\) −1.95134 + 3.37983i −0.0712056 + 0.123332i −0.899430 0.437065i \(-0.856018\pi\)
0.828224 + 0.560397i \(0.189351\pi\)
\(752\) −33.4227 + 16.4276i −1.21880 + 0.599052i
\(753\) 18.1331 + 28.9938i 0.660807 + 1.05659i
\(754\) −15.2811 6.63058i −0.556505 0.241471i
\(755\) −3.64548 3.64548i −0.132673 0.132673i
\(756\) 5.63121 3.82046i 0.204805 0.138949i
\(757\) 16.8568 16.8568i 0.612670 0.612670i −0.330971 0.943641i \(-0.607376\pi\)
0.943641 + 0.330971i \(0.107376\pi\)
\(758\) 18.0432 + 45.7033i 0.655360 + 1.66002i
\(759\) 35.4256 22.1557i 1.28587 0.804200i
\(760\) −1.09473 + 5.98290i −0.0397100 + 0.217023i
\(761\) −34.1207 19.6996i −1.23688 0.714111i −0.268422 0.963302i \(-0.586502\pi\)
−0.968454 + 0.249191i \(0.919835\pi\)
\(762\) −37.8429 27.9347i −1.37090 1.01197i
\(763\) 5.12685 + 1.37373i 0.185604 + 0.0497325i
\(764\) −2.01357 + 6.62215i −0.0728483 + 0.239581i
\(765\) 1.37814 7.11968i 0.0498266 0.257413i
\(766\) −6.19281 8.35579i −0.223755 0.301907i
\(767\) 16.2730 + 28.1857i 0.587584 + 1.01773i
\(768\) −9.76337 + 25.9360i −0.352305 + 0.935885i
\(769\) 10.1180 17.5249i 0.364866 0.631966i −0.623889 0.781513i \(-0.714448\pi\)
0.988755 + 0.149547i \(0.0477816\pi\)
\(770\) 4.80233 0.550863i 0.173064 0.0198517i
\(771\) 22.1113 + 20.6029i 0.796318 + 0.741996i
\(772\) −19.2232 + 4.46888i −0.691857 + 0.160838i