Properties

Label 144.2.x.e.133.11
Level $144$
Weight $2$
Character 144.133
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 133.11
Character \(\chi\) \(=\) 144.133
Dual form 144.2.x.e.13.11

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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 −0.896475 0.443094i \(-0.853881\pi\)
0.997917 + 0.0645072i \(0.0205475\pi\)
\(6\) −1.97072 + 1.45474i −0.804542 + 0.593895i
\(7\) 0.567074 + 0.327400i 0.214334 + 0.123746i 0.603324 0.797496i \(-0.293843\pi\)
−0.388990 + 0.921242i \(0.627176\pi\)
\(8\) −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 0.753392 0.657572i \(-0.228416\pi\)
0.981242 + 0.192778i \(0.0617498\pi\)
\(12\) −2.99668 1.73779i −0.865066 0.501658i
\(13\) −4.44367 1.19068i −1.23245 0.330234i −0.416918 0.908944i \(-0.636890\pi\)
−0.815534 + 0.578710i \(0.803556\pi\)
\(14\) −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 −0.877539 0.479505i \(-0.840816\pi\)
0.479505 + 0.877539i \(0.340816\pi\)
\(20\) 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 −0.0875410 0.996161i \(-0.527901\pi\)
0.818930 + 0.573893i \(0.194568\pi\)
\(24\) 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 0.876708 0.481022i \(-0.159734\pi\)
−0.999763 + 0.0217764i \(0.993068\pi\)
\(30\) 0.784483 + 1.99828i 0.143226 + 0.364835i
\(31\) 2.08801 + 3.61654i 0.375018 + 0.649550i 0.990330 0.138734i \(-0.0443033\pi\)
−0.615312 + 0.788284i \(0.710970\pi\)
\(32\) 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 0.258240 0.966081i \(-0.416858\pi\)
−0.966081 + 0.258240i \(0.916858\pi\)
\(38\) −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 −0.896704 0.442630i \(-0.854046\pi\)
−0.0650233 + 0.997884i \(0.520712\pi\)
\(42\) −1.59382 + 0.179731i −0.245933 + 0.0277331i
\(43\) −0.841515 + 0.225483i −0.128330 + 0.0343859i −0.322412 0.946599i \(-0.604494\pi\)
0.194082 + 0.980985i \(0.437827\pi\)
\(44\) −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 −0.296241 0.955113i \(-0.595733\pi\)
0.975273 0.221004i \(-0.0709334\pi\)
\(48\) 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 −0.998669 0.0515677i \(-0.983578\pi\)
−0.0515677 0.998669i \(-0.516422\pi\)
\(54\) 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 0.738216 + 0.674565i \(0.235669\pi\)
−0.976596 + 0.215082i \(0.930998\pi\)
\(60\) −2.15086 + 2.14264i −0.277675 + 0.276613i
\(61\) 1.01219 + 3.77755i 0.129598 + 0.483666i 0.999962 0.00874306i \(-0.00278304\pi\)
−0.870364 + 0.492409i \(0.836116\pi\)
\(62\) −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 −0.535289 0.844669i \(-0.679797\pi\)
−0.885908 + 0.463860i \(0.846464\pi\)
\(68\) −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 \(0.0830723\pi\)
−0.966138 + 0.258027i \(0.916928\pi\)
\(72\) 8.43364 0.934684i 0.993915 0.110154i
\(73\) 0.656583i 0.0768472i −0.999262 0.0384236i \(-0.987766\pi\)
0.999262 0.0384236i \(-0.0122336\pi\)
\(74\) 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 −0.116217 + 0.993224i \(0.537077\pi\)
−0.802048 + 0.597259i \(0.796256\pi\)
\(80\) −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 −0.998840 0.0481470i \(-0.984668\pi\)
0.840948 0.541117i \(-0.181998\pi\)
\(84\) −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 \(0.0873121\pi\)
−0.962615 + 0.270872i \(0.912688\pi\)
\(90\) −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 −0.668080 0.744089i \(-0.732884\pi\)
0.978440 + 0.206530i \(0.0662171\pi\)
\(98\) 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 −0.813809 0.581133i \(-0.802610\pi\)
−0.414213 + 0.910180i \(0.635943\pi\)
\(102\) −5.43557 + 4.01241i −0.538201 + 0.397288i
\(103\) −1.82866 + 1.05577i −0.180183 + 0.104029i −0.587379 0.809312i \(-0.699840\pi\)
0.407196 + 0.913341i \(0.366507\pi\)
\(104\) 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 0.964960 0.262396i \(-0.0845128\pi\)
−0.262396 + 0.964960i \(0.584513\pi\)
\(108\) 10.3650 + 0.752907i 0.997372 + 0.0724485i
\(109\) 5.73169 5.73169i 0.548996 0.548996i −0.377154 0.926150i \(-0.623097\pi\)
0.926150 + 0.377154i \(0.123097\pi\)
\(110\) 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 0.905568 0.424201i \(-0.139445\pi\)
−0.820153 + 0.572144i \(0.806112\pi\)
\(114\) 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 0.729896 0.683558i \(-0.239568\pi\)
0.290330 + 0.956927i \(0.406235\pi\)
\(132\) −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 0.617988 0.786188i \(-0.287948\pi\)
−0.371865 + 0.928287i \(0.621281\pi\)
\(138\) −3.96650 + 9.09362i −0.337651 + 0.774101i
\(139\) −2.80104 + 10.4536i −0.237582 + 0.886666i 0.739387 + 0.673281i \(0.235116\pi\)
−0.976968 + 0.213385i \(0.931551\pi\)
\(140\) 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 −0.355351 0.934733i \(-0.615639\pi\)
0.775110 0.631827i \(-0.217695\pi\)
\(150\) −10.3007 + 1.16158i −0.841051 + 0.0948430i
\(151\) −5.09441 2.94126i −0.414577 0.239356i 0.278177 0.960530i \(-0.410270\pi\)
−0.692754 + 0.721174i \(0.743603\pi\)
\(152\) 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 −0.597808 0.801640i \(-0.703961\pi\)
−0.918536 + 0.395336i \(0.870628\pi\)
\(158\) −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 −0.483277 0.875468i \(-0.660554\pi\)
0.875468 + 0.483277i \(0.160554\pi\)
\(164\) 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 −0.941967 0.335704i \(-0.891026\pi\)
−0.180255 + 0.983620i \(0.557692\pi\)
\(168\) 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 0.907349 + 0.420379i \(0.138103\pi\)
−0.575597 + 0.817733i \(0.695230\pi\)
\(174\) 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 −0.417799 0.908539i \(-0.637198\pi\)
0.908539 + 0.417799i \(0.137198\pi\)
\(180\) −4.45298 2.79683i −0.331905 0.208464i
\(181\) 15.4877 + 15.4877i 1.15119 + 1.15119i 0.986315 + 0.164875i \(0.0527219\pi\)
0.164875 + 0.986315i \(0.447278\pi\)
\(182\) 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 −0.921813 0.387634i \(-0.873292\pi\)
0.796608 + 0.604497i \(0.206626\pi\)
\(192\) −6.13598 + 12.4238i −0.442826 + 0.896608i
\(193\) 4.93395 + 8.54585i 0.355153 + 0.615144i 0.987144 0.159832i \(-0.0510953\pi\)
−0.631991 + 0.774976i \(0.717762\pi\)
\(194\) 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 0.861180 0.508299i \(-0.169726\pi\)
−0.508299 + 0.861180i \(0.669726\pi\)
\(198\) −22.7910 10.9140i −1.61969 0.775627i
\(199\) 19.3983i 1.37511i 0.726132 + 0.687556i \(0.241316\pi\)
−0.726132 + 0.687556i \(0.758684\pi\)
\(200\) −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 0.322450 0.946586i \(-0.395494\pi\)
−0.194043 + 0.980993i \(0.562160\pi\)
\(212\) 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 −0.997644 0.0686072i \(-0.978144\pi\)
0.558237 + 0.829681i \(0.311478\pi\)
\(224\) 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 0.920879 0.389848i \(-0.127473\pi\)
−0.992429 + 0.122821i \(0.960806\pi\)
\(228\) 8.21425 2.18415i 0.544002 0.144649i
\(229\) −7.22892 + 26.9787i −0.477701 + 1.78280i 0.133193 + 0.991090i \(0.457477\pi\)
−0.610894 + 0.791713i \(0.709190\pi\)
\(230\) 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 \(0.0712980\pi\)
−0.975019 + 0.222121i \(0.928702\pi\)
\(234\) 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 0.702865 0.711323i \(-0.251904\pi\)
−0.967456 + 0.253038i \(0.918570\pi\)
\(240\) −0.191038 6.06893i −0.0123315 0.391748i
\(241\) −0.259428 + 0.449343i −0.0167112 + 0.0289447i −0.874260 0.485458i \(-0.838653\pi\)
0.857549 + 0.514403i \(0.171986\pi\)
\(242\) 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 0.112450 0.993657i \(-0.464130\pi\)
−0.993657 + 0.112450i \(0.964130\pi\)
\(252\) 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 −0.998656 0.0518315i \(-0.983494\pi\)
0.454441 0.890777i \(-0.349839\pi\)
\(258\) 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 0.752712 0.658350i \(-0.228745\pi\)
−0.193791 + 0.981043i \(0.562079\pi\)
\(264\) −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 −0.0883440 0.996090i \(-0.528157\pi\)
0.996090 + 0.0883440i \(0.0281575\pi\)
\(270\) −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 −0.592848 0.805315i \(-0.701996\pi\)
−0.110764 + 0.993847i \(0.535330\pi\)
\(278\) −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 \(-0.358368\pi\)
−0.566496 + 0.824065i \(0.691701\pi\)
\(282\) 2.55555 + 22.6621i 0.152181 + 1.34951i
\(283\) 2.78192 10.3823i 0.165368 0.617162i −0.832625 0.553837i \(-0.813163\pi\)
0.997993 0.0633245i \(-0.0201703\pi\)
\(284\) −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 −0.989968 0.141295i \(-0.954873\pi\)
0.927984 + 0.372619i \(0.121540\pi\)
\(294\) 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 −0.535894 0.844286i \(-0.680025\pi\)
0.844286 + 0.535894i \(0.180025\pi\)
\(308\) −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 −0.0659811 0.997821i \(-0.521018\pi\)
0.831148 + 0.556052i \(0.187684\pi\)
\(312\) −8.31608 + 20.9470i −0.470806 + 1.18589i
\(313\) −25.4594 14.6990i −1.43905 0.830835i −0.441265 0.897377i \(-0.645470\pi\)
−0.997784 + 0.0665417i \(0.978803\pi\)
\(314\) −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 0.914790 0.403929i \(-0.132356\pi\)
−0.994196 + 0.107583i \(0.965689\pi\)
\(318\) 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 0.503330 0.864094i \(-0.332108\pi\)
0.867944 + 0.496663i \(0.165441\pi\)
\(332\) 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 0.807148 0.590349i \(-0.201010\pi\)
−0.914831 + 0.403836i \(0.867677\pi\)
\(338\) −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 −0.990938 0.134320i \(-0.957115\pi\)
0.925337 + 0.379145i \(0.123782\pi\)
\(348\) −2.31196 + 8.56271i −0.123934 + 0.459010i
\(349\) 2.07543 + 7.74559i 0.111095 + 0.414612i 0.998965 0.0454819i \(-0.0144823\pi\)
−0.887870 + 0.460094i \(0.847816\pi\)
\(350\) −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 −0.619283 0.785168i \(-0.712577\pi\)
0.989617 + 0.143731i \(0.0459101\pi\)
\(354\) −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 \(0.00412927\pi\)
−0.999916 + 0.0129721i \(0.995871\pi\)
\(360\) 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 −0.743581 0.668646i \(-0.766874\pi\)
0.950855 + 0.309637i \(0.100207\pi\)
\(368\) −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 0.630373 + 0.776293i \(0.282902\pi\)
−0.934065 + 0.357103i \(0.883765\pi\)
\(374\) 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 −0.950135 0.311839i \(-0.899055\pi\)
−0.311839 0.950135i \(-0.600945\pi\)
\(380\) −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 0.944547 0.328375i \(-0.106501\pi\)
−0.756655 + 0.653814i \(0.773168\pi\)
\(384\) −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 0.245665 0.969355i \(-0.420994\pi\)
0.697430 + 0.716653i \(0.254327\pi\)
\(390\) −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 −0.188500 + 0.982073i \(0.560362\pi\)
−0.982073 + 0.188500i \(0.939638\pi\)
\(398\) −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 0.727645 0.685954i \(-0.240615\pi\)
−0.957876 + 0.287183i \(0.907281\pi\)
\(402\) 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 −0.00779552 0.999970i \(-0.502481\pi\)
0.862101 + 0.506736i \(0.169148\pi\)
\(410\) −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 −0.542856 0.839826i \(-0.682657\pi\)
−0.890040 + 0.455882i \(0.849324\pi\)
\(420\) −1.92120 + 0.510841i −0.0937448 + 0.0249265i
\(421\) 10.0922 2.70420i 0.491864 0.131795i −0.00435733 0.999991i \(-0.501387\pi\)
0.496222 + 0.868196i \(0.334720\pi\)
\(422\) 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 0.788350 0.615228i \(-0.210936\pi\)
−0.138628 + 0.990345i \(0.544269\pi\)
\(440\) −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 0.210424 0.977610i \(-0.432516\pi\)
0.671037 + 0.741424i \(0.265849\pi\)
\(444\) 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 0.486717 0.873559i \(-0.338194\pi\)
−0.513166 + 0.858289i \(0.671527\pi\)
\(458\) −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 0.986035 0.166537i \(-0.0532586\pi\)
−0.937200 + 0.348792i \(0.886592\pi\)
\(462\) −8.89242 + 3.49097i −0.413713 + 0.162415i
\(463\) −21.0971 36.5413i −0.980466 1.69822i −0.660571 0.750763i \(-0.729686\pi\)
−0.319894 0.947453i \(-0.603647\pi\)
\(464\) −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 −0.711279 0.702909i \(-0.751884\pi\)
0.702909 + 0.711279i \(0.251884\pi\)
\(468\) −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 −0.661295 0.750126i \(-0.729993\pi\)
0.980276 + 0.197636i \(0.0633264\pi\)
\(480\) 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 \(0.0211712\pi\)
−0.997789 + 0.0664621i \(0.978829\pi\)
\(488\) 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 0.771140 + 0.636666i \(0.219687\pi\)
−0.986160 + 0.165799i \(0.946980\pi\)
\(492\) 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 0.632068 0.774913i \(-0.282206\pi\)
0.159931 + 0.987128i \(0.448873\pi\)
\(500\) 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 \(-0.950040\pi\)
0.987708 0.156311i \(-0.0499601\pi\)
\(504\) 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 0.153890 0.988088i \(-0.450820\pi\)
−0.360771 + 0.932654i \(0.617486\pi\)
\(510\) 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 \(-0.789215\pi\)
0.788640 0.614855i \(-0.210785\pi\)
\(522\) −4.69165 + 9.79726i −0.205348 + 0.428814i
\(523\) 14.5264 + 14.5264i 0.635193 + 0.635193i 0.949366 0.314173i \(-0.101727\pi\)
−0.314173 + 0.949366i \(0.601727\pi\)
\(524\) −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 −0.190299 0.981726i \(-0.560946\pi\)
0.981726 + 0.190299i \(0.0609458\pi\)
\(542\) −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 0.995085 + 0.0990263i \(0.0315728\pi\)
−0.812256 + 0.583302i \(0.801761\pi\)
\(548\) −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 −0.953821 0.300375i \(-0.902888\pi\)
0.300375 + 0.953821i \(0.402888\pi\)
\(558\) 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 0.124946 0.992164i \(-0.460124\pi\)
−0.387875 + 0.921712i \(0.626791\pi\)
\(564\) −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 0.324981 0.945721i \(-0.394642\pi\)
−0.656528 + 0.754302i \(0.727976\pi\)
\(570\) −4.82807 2.10593i −0.202225 0.0882077i
\(571\) −7.39016 + 27.5804i −0.309268 + 1.15421i 0.619940 + 0.784649i \(0.287157\pi\)
−0.929208 + 0.369556i \(0.879510\pi\)
\(572\) 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 −0.278784 0.960354i \(-0.589931\pi\)
0.238743 + 0.971083i \(0.423265\pi\)
\(588\) −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 −0.461944 0.886909i \(-0.652848\pi\)
0.537114 + 0.843510i \(0.319515\pi\)
\(600\) 12.3765 16.6325i 0.505267 0.679020i
\(601\) −32.6223 18.8345i −1.33069 0.768275i −0.345286 0.938497i \(-0.612218\pi\)
−0.985406 + 0.170222i \(0.945551\pi\)
\(602\) −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 0.995365 0.0961740i \(-0.0306605\pi\)
−0.580971 + 0.813924i \(0.697327\pi\)
\(608\) −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 0.468340 0.883548i \(-0.344852\pi\)
−0.883548 + 0.468340i \(0.844852\pi\)
\(614\) 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 0.690152 0.723665i \(-0.257544\pi\)
0.971788 0.235856i \(-0.0757895\pi\)
\(618\) 2.06789 4.74085i 0.0831826 0.190705i
\(619\) 5.27305 1.41291i 0.211942 0.0567896i −0.151286 0.988490i \(-0.548341\pi\)
0.363228 + 0.931700i \(0.381675\pi\)
\(620\) −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 \(0.135431\pi\)
−0.910845 + 0.412748i \(0.864569\pi\)
\(632\) 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 −0.784386 0.620273i \(-0.787022\pi\)
0.929365 + 0.369161i \(0.120355\pi\)
\(642\) −24.8941 3.74981i −0.982492 0.147993i
\(643\) 8.33019 + 2.23207i 0.328511 + 0.0880241i 0.419305 0.907846i \(-0.362274\pi\)
−0.0907942 + 0.995870i \(0.528941\pi\)
\(644\) −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 \(-0.926525\pi\)
0.973477 0.228783i \(-0.0734746\pi\)
\(648\) −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 0.618070 0.786123i \(-0.287915\pi\)
0.142203 + 0.989838i \(0.454581\pi\)
\(654\) −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 0.999354 + 0.0359413i \(0.0114429\pi\)
−0.847495 + 0.530803i \(0.821890\pi\)
\(660\) −9.07121 + 15.6425i −0.353096 + 0.608884i
\(661\) 2.63519 9.83468i 0.102497 0.382525i −0.895552 0.444957i \(-0.853219\pi\)
0.998049 + 0.0624321i \(0.0198857\pi\)
\(662\) 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 −0.367666 0.929958i \(-0.619843\pi\)
0.989200 0.146571i \(-0.0468236\pi\)
\(674\) 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 −0.861523 0.507719i \(-0.830489\pi\)
−0.492241 + 0.870459i \(0.663822\pi\)
\(678\) −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 0.668777 0.743463i \(-0.266818\pi\)
−0.743463 + 0.668777i \(0.766818\pi\)
\(684\) 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 0.957835 0.287318i \(-0.0927637\pi\)
−0.973169 + 0.230093i \(0.926097\pi\)
\(692\) −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 −0.985399 0.170263i \(-0.945538\pi\)
0.170263 + 0.985399i \(0.445538\pi\)
\(702\) −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 0.149508 0.988760i \(-0.452231\pi\)
0.623858 + 0.781538i \(0.285564\pi\)
\(710\) 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 0.00347239 0.999994i \(-0.498895\pi\)
−0.864284 + 0.503004i \(0.832228\pi\)
\(728\) 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 0.674304 0.738454i \(-0.264444\pi\)
0.214737 + 0.976672i \(0.431110\pi\)
\(734\) 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 −0.865615 0.500711i \(-0.833072\pi\)
0.500711 + 0.865615i \(0.333072\pi\)
\(740\) 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 −0.196134 0.980577i \(-0.562839\pi\)
0.751137 + 0.660146i \(0.229506\pi\)
\(744\) 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 0.828224 0.560397i \(-0.189351\pi\)
−0.899430 + 0.437065i \(0.856018\pi\)
\(752\) −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 0.943641 0.330971i \(-0.107376\pi\)
−0.330971 + 0.943641i \(0.607376\pi\)
\(758\) 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 −0.968454 0.249191i \(-0.919835\pi\)
−0.268422 + 0.963302i \(0.586502\pi\)
\(762\) −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 0.988755 0.149547i \(-0.0477816\pi\)
−0.623889 + 0.781513i \(0.714448\pi\)
\(770\) 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