Properties

Label 441.2.y.a.25.16
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.16
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.302994 + 1.32750i) q^{2} +(-1.73138 - 0.0482649i) q^{3} +(0.131481 + 0.0633181i) q^{4} +(1.28284 + 3.26863i) q^{5} +(0.588668 - 2.28378i) q^{6} +(2.63656 + 0.220319i) q^{7} +(-1.82183 + 2.28450i) q^{8} +(2.99534 + 0.167130i) q^{9} +O(q^{10})\) \(q+(-0.302994 + 1.32750i) q^{2} +(-1.73138 - 0.0482649i) q^{3} +(0.131481 + 0.0633181i) q^{4} +(1.28284 + 3.26863i) q^{5} +(0.588668 - 2.28378i) q^{6} +(2.63656 + 0.220319i) q^{7} +(-1.82183 + 2.28450i) q^{8} +(2.99534 + 0.167130i) q^{9} +(-4.72781 + 0.712603i) q^{10} +(-0.233466 + 0.0720147i) q^{11} +(-0.224588 - 0.115974i) q^{12} +(5.88468 - 1.81518i) q^{13} +(-1.09134 + 3.43329i) q^{14} +(-2.06333 - 5.72116i) q^{15} +(-2.29871 - 2.88249i) q^{16} +(0.132058 - 1.76219i) q^{17} +(-1.12943 + 3.92568i) q^{18} +(1.79733 + 3.11307i) q^{19} +(-0.0382935 + 0.510992i) q^{20} +(-4.55425 - 0.508709i) q^{21} +(-0.0248610 - 0.331746i) q^{22} +(-3.69823 + 2.52141i) q^{23} +(3.26454 - 3.86741i) q^{24} +(-5.37302 + 4.98543i) q^{25} +(0.626639 + 8.36191i) q^{26} +(-5.17800 - 0.433935i) q^{27} +(0.332709 + 0.195910i) q^{28} +(0.455042 - 6.07211i) q^{29} +(8.22002 - 1.00560i) q^{30} -0.258105 q^{31} +(-0.742248 + 0.357448i) q^{32} +(0.407693 - 0.113416i) q^{33} +(2.29930 + 0.709239i) q^{34} +(2.66216 + 8.90059i) q^{35} +(0.383249 + 0.211634i) q^{36} +(-6.45066 - 4.39799i) q^{37} +(-4.67719 + 1.44272i) q^{38} +(-10.2762 + 2.85875i) q^{39} +(-9.80434 - 3.02424i) q^{40} +(-1.90167 - 0.286631i) q^{41} +(2.05522 - 5.89164i) q^{42} +(-8.64273 + 1.30268i) q^{43} +(-0.0352562 - 0.00531402i) q^{44} +(3.29627 + 10.0051i) q^{45} +(-2.22663 - 5.67337i) q^{46} +(-0.106911 + 0.468406i) q^{47} +(3.84081 + 5.10162i) q^{48} +(6.90292 + 1.16177i) q^{49} +(-4.99018 - 8.64325i) q^{50} +(-0.313694 + 3.04464i) q^{51} +(0.888660 + 0.133944i) q^{52} +(8.24310 - 5.62005i) q^{53} +(2.14495 - 6.74233i) q^{54} +(-0.534890 - 0.670731i) q^{55} +(-5.30669 + 5.62185i) q^{56} +(-2.96161 - 5.47666i) q^{57} +(7.92287 + 2.44388i) q^{58} +(-2.15023 - 2.69631i) q^{59} +(0.0909636 - 0.882872i) q^{60} +(13.2432 - 6.37757i) q^{61} +(0.0782043 - 0.342635i) q^{62} +(7.86058 + 1.10058i) q^{63} +(-1.89041 - 8.28244i) q^{64} +(13.4823 + 16.9063i) q^{65} +(0.0270320 + 0.575578i) q^{66} -11.7632 q^{67} +(0.128942 - 0.223333i) q^{68} +(6.52472 - 4.18702i) q^{69} +(-12.6222 + 0.837196i) q^{70} +(3.92217 + 1.88882i) q^{71} +(-5.83882 + 6.53839i) q^{72} +(0.691953 + 0.213439i) q^{73} +(7.79285 - 7.23070i) q^{74} +(9.54335 - 8.37234i) q^{75} +(0.0392021 + 0.523115i) q^{76} +(-0.631413 + 0.138434i) q^{77} +(-0.681362 - 14.5079i) q^{78} -1.81950 q^{79} +(6.47291 - 11.2114i) q^{80} +(8.94414 + 1.00122i) q^{81} +(0.956698 - 2.43763i) q^{82} +(3.72452 + 1.14886i) q^{83} +(-0.566589 - 0.355252i) q^{84} +(5.92936 - 1.82896i) q^{85} +(0.889380 - 11.8680i) q^{86} +(-1.08092 + 10.4912i) q^{87} +(0.260818 - 0.664552i) q^{88} +(7.96971 - 7.39481i) q^{89} +(-14.2805 + 1.34433i) q^{90} +(15.9152 - 3.48934i) q^{91} +(-0.645898 + 0.0973535i) q^{92} +(0.446878 + 0.0124574i) q^{93} +(-0.589417 - 0.283848i) q^{94} +(-7.86980 + 9.86842i) q^{95} +(1.30236 - 0.583053i) q^{96} +(-5.76807 + 9.99058i) q^{97} +(-3.63379 + 8.81163i) q^{98} +(-0.711346 + 0.176689i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.302994 + 1.32750i −0.214249 + 0.938686i 0.747394 + 0.664381i \(0.231305\pi\)
−0.961643 + 0.274305i \(0.911552\pi\)
\(3\) −1.73138 0.0482649i −0.999612 0.0278658i
\(4\) 0.131481 + 0.0633181i 0.0657407 + 0.0316590i
\(5\) 1.28284 + 3.26863i 0.573705 + 1.46178i 0.863331 + 0.504638i \(0.168374\pi\)
−0.289626 + 0.957140i \(0.593531\pi\)
\(6\) 0.588668 2.28378i 0.240323 0.932351i
\(7\) 2.63656 + 0.220319i 0.996527 + 0.0832727i
\(8\) −1.82183 + 2.28450i −0.644115 + 0.807694i
\(9\) 2.99534 + 0.167130i 0.998447 + 0.0557099i
\(10\) −4.72781 + 0.712603i −1.49507 + 0.225345i
\(11\) −0.233466 + 0.0720147i −0.0703926 + 0.0217132i −0.329751 0.944068i \(-0.606965\pi\)
0.259359 + 0.965781i \(0.416489\pi\)
\(12\) −0.224588 0.115974i −0.0648330 0.0334787i
\(13\) 5.88468 1.81518i 1.63212 0.503441i 0.662705 0.748881i \(-0.269408\pi\)
0.969412 + 0.245439i \(0.0789322\pi\)
\(14\) −1.09134 + 3.43329i −0.291672 + 0.917584i
\(15\) −2.06333 5.72116i −0.532749 1.47720i
\(16\) −2.29871 2.88249i −0.574676 0.720621i
\(17\) 0.132058 1.76219i 0.0320287 0.427393i −0.958023 0.286691i \(-0.907445\pi\)
0.990052 0.140703i \(-0.0449362\pi\)
\(18\) −1.12943 + 3.92568i −0.266210 + 0.925292i
\(19\) 1.79733 + 3.11307i 0.412337 + 0.714188i 0.995145 0.0984216i \(-0.0313794\pi\)
−0.582808 + 0.812610i \(0.698046\pi\)
\(20\) −0.0382935 + 0.510992i −0.00856270 + 0.114261i
\(21\) −4.55425 0.508709i −0.993819 0.111009i
\(22\) −0.0248610 0.331746i −0.00530037 0.0707286i
\(23\) −3.69823 + 2.52141i −0.771133 + 0.525750i −0.883790 0.467884i \(-0.845016\pi\)
0.112656 + 0.993634i \(0.464064\pi\)
\(24\) 3.26454 3.86741i 0.666372 0.789432i
\(25\) −5.37302 + 4.98543i −1.07460 + 0.997087i
\(26\) 0.626639 + 8.36191i 0.122894 + 1.63991i
\(27\) −5.17800 0.433935i −0.996507 0.0835107i
\(28\) 0.332709 + 0.195910i 0.0628760 + 0.0370235i
\(29\) 0.455042 6.07211i 0.0844992 1.12756i −0.780287 0.625422i \(-0.784927\pi\)
0.864786 0.502141i \(-0.167454\pi\)
\(30\) 8.22002 1.00560i 1.50076 0.183596i
\(31\) −0.258105 −0.0463571 −0.0231785 0.999731i \(-0.507379\pi\)
−0.0231785 + 0.999731i \(0.507379\pi\)
\(32\) −0.742248 + 0.357448i −0.131212 + 0.0631885i
\(33\) 0.407693 0.113416i 0.0709703 0.0197433i
\(34\) 2.29930 + 0.709239i 0.394326 + 0.121633i
\(35\) 2.66216 + 8.90059i 0.449987 + 1.50447i
\(36\) 0.383249 + 0.211634i 0.0638749 + 0.0352723i
\(37\) −6.45066 4.39799i −1.06048 0.723025i −0.0982246 0.995164i \(-0.531316\pi\)
−0.962258 + 0.272140i \(0.912269\pi\)
\(38\) −4.67719 + 1.44272i −0.758741 + 0.234041i
\(39\) −10.2762 + 2.85875i −1.64551 + 0.457766i
\(40\) −9.80434 3.02424i −1.55020 0.478174i
\(41\) −1.90167 0.286631i −0.296991 0.0447642i −0.00114356 0.999999i \(-0.500364\pi\)
−0.295848 + 0.955235i \(0.595602\pi\)
\(42\) 2.05522 5.89164i 0.317128 0.909100i
\(43\) −8.64273 + 1.30268i −1.31800 + 0.198657i −0.770121 0.637898i \(-0.779804\pi\)
−0.547883 + 0.836555i \(0.684566\pi\)
\(44\) −0.0352562 0.00531402i −0.00531508 0.000801119i
\(45\) 3.29627 + 10.0051i 0.491379 + 1.49147i
\(46\) −2.22663 5.67337i −0.328299 0.836493i
\(47\) −0.106911 + 0.468406i −0.0155945 + 0.0683241i −0.982126 0.188222i \(-0.939727\pi\)
0.966532 + 0.256546i \(0.0825846\pi\)
\(48\) 3.84081 + 5.10162i 0.554372 + 0.736355i
\(49\) 6.90292 + 1.16177i 0.986131 + 0.165967i
\(50\) −4.99018 8.64325i −0.705718 1.22234i
\(51\) −0.313694 + 3.04464i −0.0439259 + 0.426335i
\(52\) 0.888660 + 0.133944i 0.123235 + 0.0185747i
\(53\) 8.24310 5.62005i 1.13228 0.771973i 0.155841 0.987782i \(-0.450191\pi\)
0.976436 + 0.215809i \(0.0692389\pi\)
\(54\) 2.14495 6.74233i 0.291891 0.917515i
\(55\) −0.534890 0.670731i −0.0721245 0.0904413i
\(56\) −5.30669 + 5.62185i −0.709136 + 0.751252i
\(57\) −2.96161 5.47666i −0.392275 0.725401i
\(58\) 7.92287 + 2.44388i 1.04032 + 0.320897i
\(59\) −2.15023 2.69631i −0.279936 0.351029i 0.621908 0.783090i \(-0.286358\pi\)
−0.901844 + 0.432061i \(0.857786\pi\)
\(60\) 0.0909636 0.882872i 0.0117433 0.113978i
\(61\) 13.2432 6.37757i 1.69561 0.816565i 0.700972 0.713189i \(-0.252750\pi\)
0.994642 0.103376i \(-0.0329644\pi\)
\(62\) 0.0782043 0.342635i 0.00993195 0.0435147i
\(63\) 7.86058 + 1.10058i 0.990340 + 0.138660i
\(64\) −1.89041 8.28244i −0.236302 1.03531i
\(65\) 13.4823 + 16.9063i 1.67227 + 2.09696i
\(66\) 0.0270320 + 0.575578i 0.00332741 + 0.0708488i
\(67\) −11.7632 −1.43710 −0.718551 0.695474i \(-0.755194\pi\)
−0.718551 + 0.695474i \(0.755194\pi\)
\(68\) 0.128942 0.223333i 0.0156365 0.0270831i
\(69\) 6.52472 4.18702i 0.785484 0.504057i
\(70\) −12.6222 + 0.837196i −1.50864 + 0.100064i
\(71\) 3.92217 + 1.88882i 0.465476 + 0.224161i 0.651895 0.758309i \(-0.273974\pi\)
−0.186420 + 0.982470i \(0.559688\pi\)
\(72\) −5.83882 + 6.53839i −0.688111 + 0.770556i
\(73\) 0.691953 + 0.213439i 0.0809870 + 0.0249812i 0.334984 0.942224i \(-0.391269\pi\)
−0.253997 + 0.967205i \(0.581745\pi\)
\(74\) 7.79285 7.23070i 0.905900 0.840552i
\(75\) 9.54335 8.37234i 1.10197 0.966755i
\(76\) 0.0392021 + 0.523115i 0.00449678 + 0.0600054i
\(77\) −0.631413 + 0.138434i −0.0719562 + 0.0157760i
\(78\) −0.681362 14.5079i −0.0771490 1.64269i
\(79\) −1.81950 −0.204710 −0.102355 0.994748i \(-0.532638\pi\)
−0.102355 + 0.994748i \(0.532638\pi\)
\(80\) 6.47291 11.2114i 0.723693 1.25347i
\(81\) 8.94414 + 1.00122i 0.993793 + 0.111247i
\(82\) 0.956698 2.43763i 0.105650 0.269191i
\(83\) 3.72452 + 1.14886i 0.408819 + 0.126104i 0.492342 0.870402i \(-0.336141\pi\)
−0.0835226 + 0.996506i \(0.526617\pi\)
\(84\) −0.566589 0.355252i −0.0618199 0.0387612i
\(85\) 5.92936 1.82896i 0.643129 0.198379i
\(86\) 0.889380 11.8680i 0.0959043 1.27975i
\(87\) −1.08092 + 10.4912i −0.115887 + 1.12477i
\(88\) 0.260818 0.664552i 0.0278032 0.0708415i
\(89\) 7.96971 7.39481i 0.844787 0.783848i −0.133512 0.991047i \(-0.542625\pi\)
0.978299 + 0.207199i \(0.0664349\pi\)
\(90\) −14.2805 + 1.34433i −1.50530 + 0.141705i
\(91\) 15.9152 3.48934i 1.66837 0.365782i
\(92\) −0.645898 + 0.0973535i −0.0673396 + 0.0101498i
\(93\) 0.446878 + 0.0124574i 0.0463391 + 0.00129178i
\(94\) −0.589417 0.283848i −0.0607937 0.0292767i
\(95\) −7.86980 + 9.86842i −0.807425 + 1.01248i
\(96\) 1.30236 0.583053i 0.132922 0.0595076i
\(97\) −5.76807 + 9.99058i −0.585658 + 1.01439i 0.409135 + 0.912474i \(0.365831\pi\)
−0.994793 + 0.101916i \(0.967503\pi\)
\(98\) −3.63379 + 8.81163i −0.367068 + 0.890109i
\(99\) −0.711346 + 0.176689i −0.0714929 + 0.0177580i
\(100\) −1.02212 + 0.315282i −0.102212 + 0.0315282i
\(101\) −4.90675 0.739573i −0.488240 0.0735903i −0.0996909 0.995018i \(-0.531785\pi\)
−0.388549 + 0.921428i \(0.627023\pi\)
\(102\) −3.94672 1.33894i −0.390783 0.132574i
\(103\) −3.89386 9.92139i −0.383673 0.977583i −0.984054 0.177869i \(-0.943080\pi\)
0.600381 0.799714i \(-0.295016\pi\)
\(104\) −6.57410 + 16.7505i −0.644644 + 1.64253i
\(105\) −4.17961 15.5388i −0.407889 1.51643i
\(106\) 4.96302 + 12.6456i 0.482051 + 1.22825i
\(107\) 10.8252 10.0443i 1.04651 0.971018i 0.0468974 0.998900i \(-0.485067\pi\)
0.999611 + 0.0278816i \(0.00887614\pi\)
\(108\) −0.653335 0.384916i −0.0628672 0.0370385i
\(109\) 0.810363 + 0.751907i 0.0776187 + 0.0720196i 0.718028 0.696014i \(-0.245045\pi\)
−0.640410 + 0.768034i \(0.721235\pi\)
\(110\) 1.05246 0.506840i 0.100349 0.0483253i
\(111\) 10.9563 + 7.92592i 1.03992 + 0.752295i
\(112\) −5.42561 8.10630i −0.512672 0.765973i
\(113\) −6.91173 + 6.41315i −0.650201 + 0.603298i −0.934725 0.355371i \(-0.884355\pi\)
0.284525 + 0.958669i \(0.408164\pi\)
\(114\) 8.16762 2.27215i 0.764968 0.212807i
\(115\) −12.9858 8.85357i −1.21093 0.825600i
\(116\) 0.444304 0.769557i 0.0412526 0.0714516i
\(117\) 17.9300 4.45359i 1.65763 0.411734i
\(118\) 4.23086 2.03747i 0.389482 0.187565i
\(119\) 0.736422 4.61702i 0.0675077 0.423242i
\(120\) 16.8290 + 5.70930i 1.53627 + 0.521186i
\(121\) −9.03931 + 6.16289i −0.821755 + 0.560263i
\(122\) 4.45365 + 19.5127i 0.403214 + 1.76660i
\(123\) 3.27868 + 0.588051i 0.295629 + 0.0530227i
\(124\) −0.0339360 0.0163427i −0.00304755 0.00146762i
\(125\) −7.37017 3.54929i −0.659208 0.317458i
\(126\) −3.84273 + 10.1015i −0.342337 + 0.899910i
\(127\) 8.99576 4.33213i 0.798245 0.384415i 0.0101348 0.999949i \(-0.496774\pi\)
0.788110 + 0.615534i \(0.211060\pi\)
\(128\) 9.92007 0.876819
\(129\) 15.0267 1.83830i 1.32303 0.161853i
\(130\) −26.5282 + 12.7753i −2.32667 + 1.12047i
\(131\) 3.44151 0.518724i 0.300686 0.0453211i 0.00303340 0.999995i \(-0.499034\pi\)
0.297652 + 0.954674i \(0.403796\pi\)
\(132\) 0.0607854 + 0.0109022i 0.00529069 + 0.000948917i
\(133\) 4.05291 + 8.60380i 0.351432 + 0.746044i
\(134\) 3.56417 15.6157i 0.307897 1.34899i
\(135\) −5.22420 17.4817i −0.449627 1.50458i
\(136\) 3.78514 + 3.51210i 0.324573 + 0.301160i
\(137\) −5.07528 + 12.9316i −0.433610 + 1.10482i 0.532440 + 0.846468i \(0.321275\pi\)
−0.966050 + 0.258354i \(0.916820\pi\)
\(138\) 3.58132 + 9.93022i 0.304862 + 0.845317i
\(139\) 15.8705 + 2.39209i 1.34611 + 0.202894i 0.782246 0.622970i \(-0.214074\pi\)
0.563869 + 0.825864i \(0.309312\pi\)
\(140\) −0.213544 + 1.33882i −0.0180478 + 0.113151i
\(141\) 0.207710 0.805828i 0.0174924 0.0678630i
\(142\) −3.69580 + 4.63438i −0.310145 + 0.388909i
\(143\) −1.24315 + 0.847567i −0.103958 + 0.0708771i
\(144\) −6.40366 9.01821i −0.533638 0.751517i
\(145\) 20.4313 6.30221i 1.69672 0.523370i
\(146\) −0.492998 + 0.853898i −0.0408008 + 0.0706691i
\(147\) −11.8955 2.34463i −0.981124 0.193382i
\(148\) −0.569670 0.986697i −0.0468266 0.0811060i
\(149\) −13.9129 12.9093i −1.13979 1.05757i −0.997705 0.0677140i \(-0.978429\pi\)
−0.142083 0.989855i \(-0.545380\pi\)
\(150\) 8.22273 + 15.2056i 0.671383 + 1.24153i
\(151\) −0.510598 6.81346i −0.0415519 0.554472i −0.978667 0.205452i \(-0.934134\pi\)
0.937115 0.349020i \(-0.113485\pi\)
\(152\) −10.3863 1.56548i −0.842438 0.126977i
\(153\) 0.690072 5.25628i 0.0557890 0.424945i
\(154\) 0.00754250 0.880147i 0.000607792 0.0709243i
\(155\) −0.331109 0.843652i −0.0265953 0.0677637i
\(156\) −1.53214 0.274799i −0.122670 0.0220015i
\(157\) −1.85876 2.33081i −0.148345 0.186019i 0.702107 0.712072i \(-0.252243\pi\)
−0.850452 + 0.526053i \(0.823672\pi\)
\(158\) 0.551297 2.41539i 0.0438589 0.192158i
\(159\) −14.5432 + 9.33258i −1.15335 + 0.740122i
\(160\) −2.12056 1.96759i −0.167645 0.155551i
\(161\) −10.3061 + 5.83306i −0.812236 + 0.459709i
\(162\) −4.03914 + 11.5700i −0.317345 + 0.909025i
\(163\) −8.55455 + 21.7966i −0.670044 + 1.70724i 0.0362675 + 0.999342i \(0.488453\pi\)
−0.706311 + 0.707901i \(0.749642\pi\)
\(164\) −0.231886 0.158097i −0.0181072 0.0123453i
\(165\) 0.893724 + 1.18710i 0.0695763 + 0.0924160i
\(166\) −2.65362 + 4.59621i −0.205961 + 0.356735i
\(167\) 15.7489 + 10.7374i 1.21869 + 0.830888i 0.989786 0.142562i \(-0.0455340\pi\)
0.228902 + 0.973449i \(0.426486\pi\)
\(168\) 9.45923 9.47743i 0.729795 0.731200i
\(169\) 20.5935 14.0404i 1.58411 1.08003i
\(170\) 0.631396 + 8.42540i 0.0484259 + 0.646199i
\(171\) 4.86334 + 9.62511i 0.371909 + 0.736050i
\(172\) −1.21884 0.375963i −0.0929358 0.0286669i
\(173\) −7.76124 3.73762i −0.590076 0.284166i 0.114922 0.993374i \(-0.463338\pi\)
−0.704999 + 0.709209i \(0.749052\pi\)
\(174\) −13.5995 4.61368i −1.03098 0.349762i
\(175\) −15.2647 + 11.9606i −1.15390 + 0.904138i
\(176\) 0.744250 + 0.507421i 0.0561000 + 0.0382483i
\(177\) 3.59273 + 4.77211i 0.270046 + 0.358693i
\(178\) 7.40185 + 12.8204i 0.554792 + 0.960928i
\(179\) 1.36406 18.2021i 0.101955 1.36049i −0.678187 0.734889i \(-0.737234\pi\)
0.780142 0.625603i \(-0.215147\pi\)
\(180\) −0.200104 + 1.52419i −0.0149149 + 0.113607i
\(181\) 5.21206 + 22.8355i 0.387409 + 1.69735i 0.673532 + 0.739158i \(0.264777\pi\)
−0.286122 + 0.958193i \(0.592366\pi\)
\(182\) −0.190114 + 22.1848i −0.0140922 + 1.64444i
\(183\) −23.2367 + 10.4028i −1.71771 + 0.768998i
\(184\) 0.977377 13.0422i 0.0720532 0.961483i
\(185\) 6.10021 26.7268i 0.448497 1.96499i
\(186\) −0.151938 + 0.589457i −0.0111407 + 0.0432211i
\(187\) 0.0960724 + 0.420921i 0.00702551 + 0.0307808i
\(188\) −0.0437153 + 0.0548173i −0.00318827 + 0.00399796i
\(189\) −13.5565 2.28491i −0.986092 0.166202i
\(190\) −10.7158 13.4372i −0.777409 0.974840i
\(191\) 11.1765 14.0149i 0.808706 1.01409i −0.190767 0.981635i \(-0.561097\pi\)
0.999473 0.0324503i \(-0.0103311\pi\)
\(192\) 2.87327 + 14.4313i 0.207360 + 1.04149i
\(193\) −6.73078 + 8.44013i −0.484492 + 0.607534i −0.962653 0.270739i \(-0.912732\pi\)
0.478161 + 0.878272i \(0.341304\pi\)
\(194\) −11.5148 10.6842i −0.826717 0.767081i
\(195\) −22.5270 29.9219i −1.61319 2.14275i
\(196\) 0.834044 + 0.589831i 0.0595746 + 0.0421308i
\(197\) −20.4466 −1.45676 −0.728378 0.685175i \(-0.759726\pi\)
−0.728378 + 0.685175i \(0.759726\pi\)
\(198\) −0.0190224 0.997848i −0.00135186 0.0709140i
\(199\) −4.06206 10.3500i −0.287952 0.733690i −0.999517 0.0310699i \(-0.990109\pi\)
0.711565 0.702620i \(-0.247987\pi\)
\(200\) −1.60051 21.3573i −0.113173 1.51019i
\(201\) 20.3665 + 0.567749i 1.43654 + 0.0400459i
\(202\) 2.46850 6.28963i 0.173683 0.442537i
\(203\) 2.53755 15.9092i 0.178101 1.11661i
\(204\) −0.234026 + 0.380451i −0.0163851 + 0.0266369i
\(205\) −1.50266 6.58357i −0.104950 0.459817i
\(206\) 14.3505 2.16299i 0.999845 0.150702i
\(207\) −11.4988 + 6.93439i −0.799225 + 0.481974i
\(208\) −18.7594 12.7899i −1.30073 0.886822i
\(209\) −0.643803 0.597362i −0.0445328 0.0413204i
\(210\) 21.8942 0.840296i 1.51084 0.0579859i
\(211\) 5.67865 5.26902i 0.390934 0.362734i −0.460079 0.887878i \(-0.652179\pi\)
0.851013 + 0.525144i \(0.175988\pi\)
\(212\) 1.43966 0.216995i 0.0988766 0.0149032i
\(213\) −6.69959 3.45956i −0.459048 0.237045i
\(214\) 10.0539 + 17.4138i 0.687267 + 1.19038i
\(215\) −15.3453 26.5788i −1.04654 1.81266i
\(216\) 10.4248 11.0386i 0.709316 0.751083i
\(217\) −0.680511 0.0568654i −0.0461961 0.00386028i
\(218\) −1.24369 + 0.847935i −0.0842335 + 0.0574294i
\(219\) −1.18773 0.402941i −0.0802594 0.0272282i
\(220\) −0.0278587 0.122057i −0.00187823 0.00822907i
\(221\) −2.42158 10.6096i −0.162893 0.713681i
\(222\) −13.8414 + 12.1430i −0.928971 + 0.814982i
\(223\) −11.6430 + 7.93804i −0.779670 + 0.531570i −0.886512 0.462706i \(-0.846879\pi\)
0.106842 + 0.994276i \(0.465926\pi\)
\(224\) −2.03574 + 0.778902i −0.136018 + 0.0520426i
\(225\) −16.9272 + 14.0351i −1.12848 + 0.935672i
\(226\) −6.41925 11.1185i −0.427002 0.739590i
\(227\) −1.55454 2.69255i −0.103179 0.178711i 0.809814 0.586687i \(-0.199568\pi\)
−0.912993 + 0.407976i \(0.866235\pi\)
\(228\) −0.0426255 0.907602i −0.00282294 0.0601074i
\(229\) 1.13990 0.171813i 0.0753268 0.0113537i −0.111271 0.993790i \(-0.535492\pi\)
0.186598 + 0.982436i \(0.440254\pi\)
\(230\) 15.6878 14.5561i 1.03442 0.959801i
\(231\) 1.09990 0.209207i 0.0723679 0.0137648i
\(232\) 13.0428 + 12.1019i 0.856299 + 0.794530i
\(233\) 17.2851 + 11.7848i 1.13239 + 0.772047i 0.976455 0.215721i \(-0.0692101\pi\)
0.155930 + 0.987768i \(0.450162\pi\)
\(234\) 0.479473 + 25.1515i 0.0313441 + 1.64421i
\(235\) −1.66820 + 0.251440i −0.108821 + 0.0164022i
\(236\) −0.111991 0.490663i −0.00728996 0.0319394i
\(237\) 3.15025 + 0.0878181i 0.204630 + 0.00570440i
\(238\) 5.90598 + 2.37653i 0.382828 + 0.154048i
\(239\) −4.08708 + 10.4137i −0.264371 + 0.673607i −0.999993 0.00378557i \(-0.998795\pi\)
0.735621 + 0.677393i \(0.236890\pi\)
\(240\) −11.7482 + 19.0988i −0.758341 + 1.23282i
\(241\) 0.136504 + 1.82151i 0.00879297 + 0.117334i 0.999873 0.0159336i \(-0.00507204\pi\)
−0.991080 + 0.133268i \(0.957453\pi\)
\(242\) −5.44240 13.8670i −0.349851 0.891405i
\(243\) −15.4374 2.16518i −0.990307 0.138896i
\(244\) 2.14505 0.137323
\(245\) 5.05798 + 24.0535i 0.323142 + 1.53672i
\(246\) −1.77406 + 4.17428i −0.113110 + 0.266142i
\(247\) 16.2275 + 15.0570i 1.03253 + 0.958051i
\(248\) 0.470224 0.589643i 0.0298593 0.0374423i
\(249\) −6.39311 2.16888i −0.405147 0.137447i
\(250\) 6.94480 8.70850i 0.439228 0.550774i
\(251\) 0.987459 + 1.23823i 0.0623279 + 0.0781567i 0.812018 0.583632i \(-0.198369\pi\)
−0.749690 + 0.661789i \(0.769798\pi\)
\(252\) 0.963834 + 0.642422i 0.0607158 + 0.0404688i
\(253\) 0.681831 0.854989i 0.0428663 0.0537527i
\(254\) 3.02525 + 13.2545i 0.189821 + 0.831662i
\(255\) −10.3542 + 2.88045i −0.648407 + 0.180381i
\(256\) 0.775107 3.39597i 0.0484442 0.212248i
\(257\) 0.188060 2.50948i 0.0117308 0.156537i −0.988262 0.152768i \(-0.951181\pi\)
0.999993 0.00376904i \(-0.00119973\pi\)
\(258\) −2.11266 + 20.5050i −0.131528 + 1.27658i
\(259\) −16.0386 13.0168i −0.996591 0.808823i
\(260\) 0.702199 + 3.07653i 0.0435485 + 0.190798i
\(261\) 2.37784 18.1120i 0.147184 1.12110i
\(262\) −0.354148 + 4.72578i −0.0218793 + 0.291959i
\(263\) 3.22653 + 5.58851i 0.198956 + 0.344602i 0.948190 0.317703i \(-0.102912\pi\)
−0.749234 + 0.662305i \(0.769578\pi\)
\(264\) −0.483648 + 1.13800i −0.0297665 + 0.0700393i
\(265\) 28.9445 + 19.7340i 1.77805 + 1.21225i
\(266\) −12.6496 + 2.77336i −0.775595 + 0.170045i
\(267\) −14.1555 + 12.4185i −0.866302 + 0.760003i
\(268\) −1.54664 0.744822i −0.0944761 0.0454973i
\(269\) −16.0355 4.94629i −0.977700 0.301580i −0.235585 0.971854i \(-0.575701\pi\)
−0.742114 + 0.670273i \(0.766177\pi\)
\(270\) 24.7898 1.63830i 1.50866 0.0997037i
\(271\) 1.71684 + 22.9097i 0.104291 + 1.39166i 0.766452 + 0.642301i \(0.222020\pi\)
−0.662161 + 0.749361i \(0.730361\pi\)
\(272\) −5.38304 + 3.67010i −0.326395 + 0.222532i
\(273\) −27.7237 + 5.27322i −1.67792 + 0.319150i
\(274\) −15.6290 10.6556i −0.944179 0.643731i
\(275\) 0.895392 1.55086i 0.0539942 0.0935206i
\(276\) 1.12299 0.137382i 0.0675963 0.00826940i
\(277\) 14.9242 + 10.1752i 0.896711 + 0.611367i 0.921523 0.388325i \(-0.126946\pi\)
−0.0248114 + 0.999692i \(0.507899\pi\)
\(278\) −7.98415 + 20.3433i −0.478857 + 1.22011i
\(279\) −0.773113 0.0431370i −0.0462851 0.00258255i
\(280\) −25.1834 10.1337i −1.50500 0.605603i
\(281\) 16.4323 + 15.2470i 0.980270 + 0.909557i 0.995913 0.0903202i \(-0.0287890\pi\)
−0.0156430 + 0.999878i \(0.504980\pi\)
\(282\) 1.00680 + 0.519897i 0.0599543 + 0.0309594i
\(283\) 7.05214 30.8974i 0.419206 1.83666i −0.117740 0.993045i \(-0.537565\pi\)
0.536946 0.843617i \(-0.319578\pi\)
\(284\) 0.396096 + 0.496688i 0.0235040 + 0.0294730i
\(285\) 14.1019 16.7061i 0.835324 0.989586i
\(286\) −0.748479 1.90709i −0.0442585 0.112769i
\(287\) −4.95073 1.17469i −0.292232 0.0693400i
\(288\) −2.28303 + 0.946627i −0.134529 + 0.0557805i
\(289\) 13.7223 + 2.06830i 0.807191 + 0.121665i
\(290\) 2.17565 + 29.0321i 0.127759 + 1.70482i
\(291\) 10.4689 17.0191i 0.613698 0.997676i
\(292\) 0.0774644 + 0.0718764i 0.00453326 + 0.00420625i
\(293\) −9.66802 16.7455i −0.564812 0.978283i −0.997067 0.0765317i \(-0.975615\pi\)
0.432255 0.901751i \(-0.357718\pi\)
\(294\) 6.71676 15.0809i 0.391729 0.879535i
\(295\) 6.05482 10.4873i 0.352525 0.610592i
\(296\) 21.7992 6.72418i 1.26706 0.390835i
\(297\) 1.24014 0.271583i 0.0719600 0.0157589i
\(298\) 21.3526 14.5580i 1.23692 0.843320i
\(299\) −17.1861 + 21.5506i −0.993895 + 1.24631i
\(300\) 1.78489 0.496540i 0.103051 0.0286678i
\(301\) −23.0741 + 1.53045i −1.32997 + 0.0882135i
\(302\) 9.19959 + 1.38662i 0.529377 + 0.0797908i
\(303\) 8.45974 + 1.51730i 0.485999 + 0.0871669i
\(304\) 4.84185 12.3368i 0.277699 0.707566i
\(305\) 37.8349 + 35.1056i 2.16642 + 2.01014i
\(306\) 6.76864 + 2.50869i 0.386937 + 0.143412i
\(307\) −2.11051 + 9.24675i −0.120453 + 0.527740i 0.878313 + 0.478086i \(0.158669\pi\)
−0.998766 + 0.0496545i \(0.984188\pi\)
\(308\) −0.0917845 0.0217784i −0.00522991 0.00124094i
\(309\) 6.26288 + 17.3656i 0.356283 + 0.987895i
\(310\) 1.22027 0.183927i 0.0693069 0.0104463i
\(311\) −27.5576 + 13.2711i −1.56265 + 0.752532i −0.997378 0.0723720i \(-0.976943\pi\)
−0.565272 + 0.824904i \(0.691229\pi\)
\(312\) 12.1907 28.6842i 0.690164 1.62392i
\(313\) 1.18302 0.0668681 0.0334341 0.999441i \(-0.489356\pi\)
0.0334341 + 0.999441i \(0.489356\pi\)
\(314\) 3.65735 1.76129i 0.206396 0.0993953i
\(315\) 6.48652 + 27.1052i 0.365474 + 1.52721i
\(316\) −0.239231 0.115207i −0.0134578 0.00648092i
\(317\) 1.34670 + 0.648537i 0.0756383 + 0.0364255i 0.471320 0.881962i \(-0.343778\pi\)
−0.395682 + 0.918388i \(0.629492\pi\)
\(318\) −7.98253 22.1338i −0.447638 1.24120i
\(319\) 0.331044 + 1.45040i 0.0185349 + 0.0812068i
\(320\) 24.6472 16.8042i 1.37782 0.939381i
\(321\) −19.2272 + 16.8680i −1.07316 + 0.941479i
\(322\) −4.62071 15.4488i −0.257502 0.860926i
\(323\) 5.72318 2.75614i 0.318446 0.153356i
\(324\) 1.11259 + 0.697967i 0.0618107 + 0.0387760i
\(325\) −22.5690 + 39.0907i −1.25190 + 2.16836i
\(326\) −26.3431 17.9604i −1.45901 0.994735i
\(327\) −1.36675 1.34095i −0.0755816 0.0741545i
\(328\) 4.11934 3.82219i 0.227452 0.211045i
\(329\) −0.385075 + 1.21143i −0.0212299 + 0.0667882i
\(330\) −1.84668 + 0.826735i −0.101656 + 0.0455103i
\(331\) 2.18270 1.05113i 0.119972 0.0577755i −0.372935 0.927857i \(-0.621649\pi\)
0.492907 + 0.870082i \(0.335934\pi\)
\(332\) 0.416962 + 0.386884i 0.0228837 + 0.0212330i
\(333\) −18.5869 14.2516i −1.01856 0.780981i
\(334\) −19.0258 + 17.6534i −1.04104 + 0.965948i
\(335\) −15.0903 38.4495i −0.824473 2.10072i
\(336\) 9.00254 + 14.2969i 0.491129 + 0.779962i
\(337\) −5.03102 + 12.8188i −0.274057 + 0.698286i 0.725888 + 0.687813i \(0.241429\pi\)
−0.999945 + 0.0104732i \(0.996666\pi\)
\(338\) 12.3990 + 31.5920i 0.674414 + 1.71838i
\(339\) 12.2763 10.7700i 0.666759 0.584945i
\(340\) 0.895407 + 0.134961i 0.0485603 + 0.00731928i
\(341\) 0.0602588 0.0185874i 0.00326319 0.00100656i
\(342\) −14.2509 + 3.53975i −0.770601 + 0.191408i
\(343\) 17.9440 + 4.58392i 0.968886 + 0.247508i
\(344\) 12.7696 22.1176i 0.688492 1.19250i
\(345\) 22.0560 + 15.9556i 1.18746 + 0.859023i
\(346\) 7.31330 9.17059i 0.393165 0.493014i
\(347\) −24.7498 11.9189i −1.32864 0.639839i −0.371221 0.928545i \(-0.621061\pi\)
−0.957418 + 0.288706i \(0.906775\pi\)
\(348\) −0.806401 + 1.31095i −0.0432276 + 0.0702743i
\(349\) 8.74573 1.31821i 0.468148 0.0705620i 0.0892678 0.996008i \(-0.471547\pi\)
0.378880 + 0.925446i \(0.376309\pi\)
\(350\) −11.2527 23.8879i −0.601480 1.27686i
\(351\) −31.2586 + 6.84546i −1.66846 + 0.365384i
\(352\) 0.147548 0.136905i 0.00786434 0.00729704i
\(353\) 0.417032 1.06258i 0.0221963 0.0565554i −0.919346 0.393450i \(-0.871281\pi\)
0.941542 + 0.336895i \(0.109377\pi\)
\(354\) −7.42355 + 3.32344i −0.394557 + 0.176639i
\(355\) −1.14232 + 15.2432i −0.0606280 + 0.809024i
\(356\) 1.51609 0.467653i 0.0803528 0.0247855i
\(357\) −1.49786 + 7.95827i −0.0792754 + 0.421196i
\(358\) 23.7501 + 7.32593i 1.25523 + 0.387187i
\(359\) −7.01537 + 17.8749i −0.370257 + 0.943400i 0.617383 + 0.786663i \(0.288193\pi\)
−0.987640 + 0.156737i \(0.949902\pi\)
\(360\) −28.8619 10.6972i −1.52116 0.563793i
\(361\) 3.03918 5.26401i 0.159957 0.277053i
\(362\) −31.8934 −1.67628
\(363\) 15.9479 10.2340i 0.837048 0.537147i
\(364\) 2.31350 + 0.548940i 0.121260 + 0.0287723i
\(365\) 0.190013 + 2.53555i 0.00994575 + 0.132717i
\(366\) −6.76917 33.9988i −0.353830 1.77715i
\(367\) 6.03547 5.60010i 0.315049 0.292323i −0.506759 0.862088i \(-0.669156\pi\)
0.821807 + 0.569765i \(0.192966\pi\)
\(368\) 15.7690 + 4.86411i 0.822018 + 0.253559i
\(369\) −5.64825 1.17638i −0.294036 0.0612401i
\(370\) 33.6315 + 16.1961i 1.74842 + 0.841995i
\(371\) 22.9716 13.0015i 1.19263 0.675004i
\(372\) 0.0579673 + 0.0299334i 0.00300547 + 0.00155197i
\(373\) 16.8086 29.1134i 0.870318 1.50744i 0.00865013 0.999963i \(-0.497247\pi\)
0.861668 0.507473i \(-0.169420\pi\)
\(374\) −0.587883 −0.0303987
\(375\) 12.5892 + 6.50088i 0.650106 + 0.335704i
\(376\) −0.875303 1.09760i −0.0451403 0.0566041i
\(377\) −8.34422 36.5584i −0.429749 1.88286i
\(378\) 7.14076 17.3040i 0.367281 0.890021i
\(379\) −0.0489384 + 0.214413i −0.00251380 + 0.0110137i −0.976169 0.217011i \(-0.930369\pi\)
0.973655 + 0.228024i \(0.0732265\pi\)
\(380\) −1.65958 + 0.799212i −0.0851347 + 0.0409987i
\(381\) −15.7842 + 7.06638i −0.808647 + 0.362022i
\(382\) 15.2184 + 19.0833i 0.778643 + 0.976388i
\(383\) −1.25172 0.386106i −0.0639601 0.0197291i 0.262610 0.964902i \(-0.415417\pi\)
−0.326570 + 0.945173i \(0.605893\pi\)
\(384\) −17.1754 0.478791i −0.876478 0.0244332i
\(385\) −1.26250 1.88627i −0.0643427 0.0961332i
\(386\) −9.16490 11.4924i −0.466481 0.584949i
\(387\) −26.1057 + 2.45752i −1.32702 + 0.124923i
\(388\) −1.39098 + 0.948353i −0.0706162 + 0.0481453i
\(389\) 11.4283 + 1.72254i 0.579438 + 0.0873362i 0.432221 0.901768i \(-0.357730\pi\)
0.147218 + 0.989104i \(0.452968\pi\)
\(390\) 46.5469 20.8385i 2.35699 1.05520i
\(391\) 3.95482 + 6.84994i 0.200004 + 0.346416i
\(392\) −15.2300 + 13.6532i −0.769232 + 0.689591i
\(393\) −5.98359 + 0.732003i −0.301832 + 0.0369247i
\(394\) 6.19518 27.1428i 0.312108 1.36744i
\(395\) −2.33414 5.94729i −0.117443 0.299240i
\(396\) −0.104716 0.0218097i −0.00526219 0.00109598i
\(397\) 0.893993 + 0.134748i 0.0448682 + 0.00676280i 0.171438 0.985195i \(-0.445159\pi\)
−0.126570 + 0.991958i \(0.540397\pi\)
\(398\) 14.9704 2.25642i 0.750398 0.113104i
\(399\) −6.60187 15.0920i −0.330507 0.755547i
\(400\) 26.7214 + 4.02761i 1.33607 + 0.201380i
\(401\) −1.19397 0.368292i −0.0596242 0.0183916i 0.264800 0.964303i \(-0.414694\pi\)
−0.324424 + 0.945912i \(0.605170\pi\)
\(402\) −6.92461 + 26.8646i −0.345368 + 1.33988i
\(403\) −1.51887 + 0.468508i −0.0756602 + 0.0233381i
\(404\) −0.598318 0.407926i −0.0297674 0.0202951i
\(405\) 8.20131 + 30.5195i 0.407526 + 1.51653i
\(406\) 20.3507 + 8.18900i 1.00999 + 0.406413i
\(407\) 1.82273 + 0.562237i 0.0903493 + 0.0278691i
\(408\) −6.38400 6.26346i −0.316055 0.310087i
\(409\) 9.82881 4.73331i 0.486004 0.234047i −0.174803 0.984603i \(-0.555929\pi\)
0.660806 + 0.750556i \(0.270214\pi\)
\(410\) 9.19500 0.454109
\(411\) 9.41137 22.1445i 0.464229 1.09231i
\(412\) 0.116234 1.55103i 0.00572642 0.0764137i
\(413\) −5.07517 7.58271i −0.249733 0.373121i
\(414\) −5.72134 17.3658i −0.281189 0.853483i
\(415\) 1.02277 + 13.6479i 0.0502058 + 0.669950i
\(416\) −3.71906 + 3.45078i −0.182342 + 0.169189i
\(417\) −27.3623 4.90759i −1.33994 0.240326i
\(418\) 0.988068 0.673653i 0.0483280 0.0329494i
\(419\) −0.552462 7.37210i −0.0269896 0.360151i −0.994305 0.106574i \(-0.966012\pi\)
0.967315 0.253577i \(-0.0816071\pi\)
\(420\) 0.434344 2.30771i 0.0211938 0.112604i
\(421\) 0.213531 2.84938i 0.0104069 0.138870i −0.989580 0.143984i \(-0.954009\pi\)
0.999987 + 0.00511368i \(0.00162774\pi\)
\(422\) 5.27403 + 9.13490i 0.256736 + 0.444680i
\(423\) −0.398518 + 1.38517i −0.0193766 + 0.0673492i
\(424\) −2.17851 + 29.0702i −0.105798 + 1.41177i
\(425\) 8.07572 + 10.1266i 0.391730 + 0.491214i
\(426\) 6.62250 7.84550i 0.320861 0.380116i
\(427\) 36.3215 13.8972i 1.75772 0.672530i
\(428\) 2.05929 0.635208i 0.0995397 0.0307039i
\(429\) 2.19327 1.40746i 0.105892 0.0679527i
\(430\) 39.9329 12.3177i 1.92574 0.594011i
\(431\) 15.7219 2.36970i 0.757298 0.114144i 0.240967 0.970533i \(-0.422535\pi\)
0.516331 + 0.856389i \(0.327297\pi\)
\(432\) 10.6519 + 15.9230i 0.512489 + 0.766096i
\(433\) −0.490318 + 0.614839i −0.0235632 + 0.0295473i −0.793473 0.608605i \(-0.791729\pi\)
0.769910 + 0.638152i \(0.220301\pi\)
\(434\) 0.281679 0.886149i 0.0135210 0.0425365i
\(435\) −35.6784 + 9.92540i −1.71065 + 0.475886i
\(436\) 0.0589383 + 0.150172i 0.00282263 + 0.00719195i
\(437\) −14.4963 6.98104i −0.693451 0.333948i
\(438\) 0.894780 1.45463i 0.0427542 0.0695047i
\(439\) −1.20635 + 5.28537i −0.0575760 + 0.252257i −0.995523 0.0945223i \(-0.969868\pi\)
0.937947 + 0.346779i \(0.112725\pi\)
\(440\) 2.50677 0.119505
\(441\) 20.4824 + 4.63357i 0.975354 + 0.220646i
\(442\) 14.8180 0.704821
\(443\) 7.31883 32.0659i 0.347728 1.52350i −0.434597 0.900625i \(-0.643109\pi\)
0.782325 0.622870i \(-0.214034\pi\)
\(444\) 0.938691 + 1.73584i 0.0445483 + 0.0823794i
\(445\) 34.3948 + 16.5637i 1.63047 + 0.785193i
\(446\) −7.01002 17.8612i −0.331934 0.845754i
\(447\) 23.4654 + 23.0223i 1.10988 + 1.08892i
\(448\) −3.15941 22.2537i −0.149268 1.05139i
\(449\) 18.4777 23.1703i 0.872017 1.09347i −0.122864 0.992423i \(-0.539208\pi\)
0.994881 0.101051i \(-0.0322206\pi\)
\(450\) −13.5028 26.7235i −0.636526 1.25976i
\(451\) 0.464617 0.0700298i 0.0218780 0.00329757i
\(452\) −1.31483 + 0.405572i −0.0618445 + 0.0190765i
\(453\) 0.555188 + 11.8213i 0.0260850 + 0.555414i
\(454\) 4.04538 1.24784i 0.189859 0.0585638i
\(455\) 31.8222 + 47.5448i 1.49185 + 2.22894i
\(456\) 17.9070 + 3.21173i 0.838573 + 0.150403i
\(457\) −13.8025 17.3078i −0.645654 0.809625i 0.346043 0.938219i \(-0.387525\pi\)
−0.991697 + 0.128594i \(0.958954\pi\)
\(458\) −0.117302 + 1.56528i −0.00548114 + 0.0731407i
\(459\) −1.44847 + 9.06731i −0.0676088 + 0.423226i
\(460\) −1.14680 1.98632i −0.0534698 0.0926125i
\(461\) −1.48697 + 19.8422i −0.0692551 + 0.924145i 0.849061 + 0.528296i \(0.177169\pi\)
−0.918316 + 0.395849i \(0.870450\pi\)
\(462\) −0.0555392 + 1.52350i −0.00258392 + 0.0708798i
\(463\) −1.38100 18.4282i −0.0641805 0.856429i −0.932672 0.360725i \(-0.882529\pi\)
0.868492 0.495704i \(-0.165090\pi\)
\(464\) −18.5488 + 12.6463i −0.861106 + 0.587092i
\(465\) 0.532556 + 1.47666i 0.0246967 + 0.0684785i
\(466\) −20.8816 + 19.3753i −0.967322 + 0.897544i
\(467\) 1.22181 + 16.3039i 0.0565384 + 0.754453i 0.951370 + 0.308050i \(0.0996763\pi\)
−0.894832 + 0.446403i \(0.852705\pi\)
\(468\) 2.63945 + 0.549729i 0.122009 + 0.0254112i
\(469\) −31.0144 2.59165i −1.43211 0.119671i
\(470\) 0.171666 2.29072i 0.00791835 0.105663i
\(471\) 3.10572 + 4.12523i 0.143104 + 0.190081i
\(472\) 10.0771 0.463835
\(473\) 1.92397 0.926535i 0.0884643 0.0426021i
\(474\) −1.07108 + 4.15535i −0.0491965 + 0.190861i
\(475\) −25.1771 7.76612i −1.15521 0.356334i
\(476\) 0.389167 0.560424i 0.0178374 0.0256870i
\(477\) 25.6302 15.4563i 1.17352 0.707695i
\(478\) −12.5859 8.58090i −0.575664 0.392481i
\(479\) 4.14101 1.27733i 0.189208 0.0583628i −0.198703 0.980060i \(-0.563673\pi\)
0.387911 + 0.921697i \(0.373197\pi\)
\(480\) 3.57652 + 3.50899i 0.163245 + 0.160163i
\(481\) −45.9432 14.1716i −2.09483 0.646170i
\(482\) −2.45942 0.370699i −0.112024 0.0168849i
\(483\) 18.1253 9.60181i 0.824730 0.436897i
\(484\) −1.57872 + 0.237954i −0.0717601 + 0.0108161i
\(485\) −40.0551 6.03733i −1.81881 0.274141i
\(486\) 7.55170 19.8371i 0.342552 0.899829i
\(487\) −10.0570 25.6247i −0.455725 1.16117i −0.955494 0.295009i \(-0.904677\pi\)
0.499770 0.866158i \(-0.333418\pi\)
\(488\) −9.55723 + 41.8730i −0.432635 + 1.89550i
\(489\) 15.8632 37.3253i 0.717357 1.68791i
\(490\) −33.4636 0.573581i −1.51173 0.0259117i
\(491\) 1.11544 + 1.93200i 0.0503392 + 0.0871901i 0.890097 0.455771i \(-0.150636\pi\)
−0.839758 + 0.542961i \(0.817303\pi\)
\(492\) 0.393851 + 0.284917i 0.0177562 + 0.0128451i
\(493\) −10.6401 1.60374i −0.479207 0.0722288i
\(494\) −24.9050 + 16.9799i −1.12053 + 0.763963i
\(495\) −1.49008 2.09846i −0.0669741 0.0943189i
\(496\) 0.593308 + 0.743985i 0.0266403 + 0.0334059i
\(497\) 9.92489 + 5.84411i 0.445192 + 0.262144i
\(498\) 4.81626 7.82971i 0.215822 0.350858i
\(499\) −30.2825 9.34091i −1.35563 0.418157i −0.470049 0.882640i \(-0.655764\pi\)
−0.885582 + 0.464484i \(0.846240\pi\)
\(500\) −0.744306 0.933330i −0.0332864 0.0417398i
\(501\) −26.7491 19.3507i −1.19506 0.864525i
\(502\) −1.94295 + 0.935677i −0.0867182 + 0.0417613i
\(503\) −4.27307 + 18.7216i −0.190527 + 0.834753i 0.785805 + 0.618474i \(0.212249\pi\)
−0.976332 + 0.216278i \(0.930608\pi\)
\(504\) −16.8349 + 15.9525i −0.749887 + 0.710579i
\(505\) −3.87720 16.9871i −0.172533 0.755917i
\(506\) 0.928409 + 1.16419i 0.0412728 + 0.0517545i
\(507\) −36.3328 + 23.3153i −1.61359 + 1.03547i
\(508\) 1.45708 0.0646474
\(509\) −6.36158 + 11.0186i −0.281972 + 0.488390i −0.971870 0.235516i \(-0.924322\pi\)
0.689898 + 0.723906i \(0.257655\pi\)
\(510\) −0.686535 14.6180i −0.0304003 0.647297i
\(511\) 1.77735 + 0.715196i 0.0786254 + 0.0316384i
\(512\) 22.1487 + 10.6662i 0.978841 + 0.471385i
\(513\) −7.95573 16.8994i −0.351254 0.746128i
\(514\) 3.27436 + 1.01001i 0.144426 + 0.0445495i
\(515\) 27.4342 25.4552i 1.20889 1.12169i
\(516\) 2.09213 + 0.709761i 0.0921009 + 0.0312455i
\(517\) −0.00877213 0.117056i −0.000385798 0.00514812i
\(518\) 22.1394 17.3473i 0.972749 0.762196i
\(519\) 13.2572 + 6.84582i 0.581929 + 0.300498i
\(520\) −63.1849 −2.77084
\(521\) 2.71608 4.70439i 0.118994 0.206103i −0.800375 0.599499i \(-0.795366\pi\)
0.919369 + 0.393396i \(0.128700\pi\)
\(522\) 23.3232 + 8.64440i 1.02083 + 0.378355i
\(523\) 12.1019 30.8352i 0.529181 1.34833i −0.377303 0.926090i \(-0.623148\pi\)
0.906484 0.422241i \(-0.138756\pi\)
\(524\) 0.485339 + 0.149707i 0.0212021 + 0.00653999i
\(525\) 27.0062 19.9716i 1.17865 0.871633i
\(526\) −8.39637 + 2.58994i −0.366099 + 0.112927i
\(527\) −0.0340848 + 0.454830i −0.00148476 + 0.0198127i
\(528\) −1.26409 0.914459i −0.0550124 0.0397967i
\(529\) −1.08347 + 2.76063i −0.0471073 + 0.120027i
\(530\) −34.9670 + 32.4446i −1.51887 + 1.40930i
\(531\) −5.99005 8.43572i −0.259946 0.366079i
\(532\) −0.0118934 + 1.38786i −0.000515645 + 0.0601715i
\(533\) −11.7110 + 1.76515i −0.507261 + 0.0764572i
\(534\) −12.1966 22.5542i −0.527800 0.976015i
\(535\) 46.7181 + 22.4983i 2.01980 + 0.972684i
\(536\) 21.4305 26.8730i 0.925658 1.16074i
\(537\) −3.24023 + 31.4490i −0.139826 + 1.35712i
\(538\) 11.4248 19.7884i 0.492560 0.853139i
\(539\) −1.69526 + 0.225878i −0.0730200 + 0.00972927i
\(540\) 0.420021 2.62930i 0.0180748 0.113147i
\(541\) −12.6341 + 3.89710i −0.543182 + 0.167550i −0.554190 0.832390i \(-0.686972\pi\)
0.0110082 + 0.999939i \(0.496496\pi\)
\(542\) −30.9328 4.66237i −1.32868 0.200266i
\(543\) −7.92189 39.7885i −0.339961 1.70749i
\(544\) 0.531871 + 1.35519i 0.0228038 + 0.0581031i
\(545\) −1.41814 + 3.61336i −0.0607464 + 0.154779i
\(546\) 1.39991 38.4010i 0.0599104 1.64341i
\(547\) 11.8217 + 30.1212i 0.505459 + 1.28789i 0.924936 + 0.380122i \(0.124118\pi\)
−0.419477 + 0.907766i \(0.637787\pi\)
\(548\) −1.48611 + 1.37891i −0.0634834 + 0.0589040i
\(549\) 40.7337 16.8897i 1.73847 0.720834i
\(550\) 1.78748 + 1.65854i 0.0762183 + 0.0707202i
\(551\) 19.7208 9.49704i 0.840134 0.404587i
\(552\) −2.32169 + 22.5338i −0.0988177 + 0.959102i
\(553\) −4.79723 0.400870i −0.203999 0.0170467i
\(554\) −18.0295 + 16.7290i −0.766001 + 0.710745i
\(555\) −11.8517 + 45.9797i −0.503079 + 1.95173i
\(556\) 1.93521 + 1.31940i 0.0820711 + 0.0559551i
\(557\) −10.3957 + 18.0060i −0.440482 + 0.762937i −0.997725 0.0674124i \(-0.978526\pi\)
0.557243 + 0.830349i \(0.311859\pi\)
\(558\) 0.291513 1.01324i 0.0123407 0.0428938i
\(559\) −48.4951 + 23.3540i −2.05113 + 0.987770i
\(560\) 19.5363 28.1335i 0.825560 1.18886i
\(561\) −0.146022 0.733410i −0.00616505 0.0309646i
\(562\) −25.2193 + 17.1942i −1.06381 + 0.725294i
\(563\) 0.435908 + 1.90984i 0.0183713 + 0.0804901i 0.983283 0.182086i \(-0.0582850\pi\)
−0.964911 + 0.262576i \(0.915428\pi\)
\(564\) 0.0783336 0.0927996i 0.00329844 0.00390757i
\(565\) −29.8289 14.3648i −1.25491 0.604333i
\(566\) 38.8796 + 18.7234i 1.63423 + 0.787005i
\(567\) 23.3612 + 4.61034i 0.981077 + 0.193616i
\(568\) −11.4605 + 5.51910i −0.480873 + 0.231576i
\(569\) 11.4612 0.480480 0.240240 0.970714i \(-0.422774\pi\)
0.240240 + 0.970714i \(0.422774\pi\)
\(570\) 17.9046 + 23.7822i 0.749943 + 0.996125i
\(571\) −24.4227 + 11.7613i −1.02206 + 0.492197i −0.868367 0.495922i \(-0.834830\pi\)
−0.153691 + 0.988119i \(0.549116\pi\)
\(572\) −0.217118 + 0.0327252i −0.00907815 + 0.00136831i
\(573\) −20.0273 + 23.7257i −0.836651 + 0.991157i
\(574\) 3.05945 6.21617i 0.127699 0.259458i
\(575\) 7.30033 31.9848i 0.304445 1.33386i
\(576\) −4.27819 25.1247i −0.178258 1.04686i
\(577\) −31.9527 29.6477i −1.33021 1.23425i −0.951094 0.308900i \(-0.900039\pi\)
−0.379112 0.925351i \(-0.623771\pi\)
\(578\) −6.90342 + 17.5896i −0.287145 + 0.731633i
\(579\) 12.0609 14.2882i 0.501233 0.593797i
\(580\) 3.08537 + 0.465045i 0.128113 + 0.0193100i
\(581\) 9.56682 + 3.84963i 0.396899 + 0.159710i
\(582\) 19.4209 + 19.0542i 0.805021 + 0.789820i
\(583\) −1.51976 + 1.90571i −0.0629418 + 0.0789266i
\(584\) −1.74822 + 1.19192i −0.0723421 + 0.0493220i
\(585\) 37.5585 + 52.8933i 1.55285 + 2.18687i
\(586\) 25.1590 7.76054i 1.03931 0.320585i
\(587\) 11.8289 20.4883i 0.488231 0.845641i −0.511677 0.859178i \(-0.670976\pi\)
0.999908 + 0.0135368i \(0.00430903\pi\)
\(588\) −1.41558 1.06147i −0.0583775 0.0437745i
\(589\) −0.463901 0.803501i −0.0191147 0.0331077i
\(590\) 12.0873 + 11.2154i 0.497626 + 0.461729i
\(591\) 35.4007 + 0.986851i 1.45619 + 0.0405936i
\(592\) 2.15104 + 28.7036i 0.0884071 + 1.17971i
\(593\) −8.37925 1.26297i −0.344095 0.0518639i −0.0252783 0.999680i \(-0.508047\pi\)
−0.318816 + 0.947817i \(0.603285\pi\)
\(594\) −0.0152261 + 1.72857i −0.000624736 + 0.0709241i
\(595\) 16.0361 3.51583i 0.657415 0.144135i
\(596\) −1.01189 2.57827i −0.0414488 0.105610i
\(597\) 6.53343 + 18.1158i 0.267395 + 0.741429i
\(598\) −23.4012 29.3442i −0.956948 1.19997i
\(599\) 8.77389 38.4409i 0.358492 1.57065i −0.398461 0.917185i \(-0.630456\pi\)
0.756953 0.653469i \(-0.226687\pi\)
\(600\) 1.74028 + 37.0548i 0.0710465 + 1.51276i
\(601\) −17.4631 16.2034i −0.712335 0.660950i 0.238325 0.971185i \(-0.423402\pi\)
−0.950660 + 0.310235i \(0.899592\pi\)
\(602\) 4.95964 31.0946i 0.202140 1.26732i
\(603\) −35.2347 1.96598i −1.43487 0.0800608i
\(604\) 0.364281 0.928174i 0.0148224 0.0377668i
\(605\) −31.7403 21.6401i −1.29043 0.879797i
\(606\) −4.57747 + 10.7706i −0.185947 + 0.437525i
\(607\) −1.13499 + 1.96586i −0.0460677 + 0.0797917i −0.888140 0.459573i \(-0.848002\pi\)
0.842072 + 0.539365i \(0.181336\pi\)
\(608\) −2.44683 1.66822i −0.0992321 0.0676553i
\(609\) −5.16131 + 27.4225i −0.209147 + 1.11121i
\(610\) −58.0665 + 39.5891i −2.35105 + 1.60292i
\(611\) 0.221108 + 2.95048i 0.00894508 + 0.119364i
\(612\) 0.423550 0.647409i 0.0171210 0.0261700i
\(613\) −22.8070 7.03502i −0.921165 0.284142i −0.202326 0.979318i \(-0.564850\pi\)
−0.718839 + 0.695177i \(0.755326\pi\)
\(614\) −11.6356 5.60342i −0.469575 0.226135i
\(615\) 2.28391 + 11.4712i 0.0920963 + 0.462563i
\(616\) 0.834075 1.69467i 0.0336058 0.0682802i
\(617\) 14.8561 + 10.1287i 0.598085 + 0.407768i 0.824172 0.566340i \(-0.191641\pi\)
−0.226087 + 0.974107i \(0.572593\pi\)
\(618\) −24.9505 + 3.05232i −1.00366 + 0.122782i
\(619\) 1.25045 + 2.16584i 0.0502597 + 0.0870524i 0.890061 0.455842i \(-0.150662\pi\)
−0.839801 + 0.542894i \(0.817328\pi\)
\(620\) 0.00988376 0.131890i 0.000396941 0.00529682i
\(621\) 20.2435 11.4511i 0.812345 0.459515i
\(622\) −9.26756 40.6039i −0.371595 1.62807i
\(623\) 22.6418 17.7410i 0.907126 0.710778i
\(624\) 31.8623 + 23.0496i 1.27551 + 0.922724i
\(625\) −0.592192 + 7.90225i −0.0236877 + 0.316090i
\(626\) −0.358447 + 1.57046i −0.0143264 + 0.0627681i
\(627\) 1.08584 + 1.06533i 0.0433641 + 0.0425453i
\(628\) −0.0968099 0.424152i −0.00386314 0.0169255i
\(629\) −8.60194 + 10.7865i −0.342982 + 0.430086i
\(630\) −37.9476 + 0.398150i −1.51187 + 0.0158627i
\(631\) 10.9435 + 13.7228i 0.435656 + 0.546295i 0.950392 0.311053i \(-0.100682\pi\)
−0.514737 + 0.857348i \(0.672110\pi\)
\(632\) 3.31483 4.15666i 0.131857 0.165343i
\(633\) −10.0862 + 8.84858i −0.400890 + 0.351699i
\(634\) −1.26898 + 1.59125i −0.0503975 + 0.0631965i
\(635\) 25.7003 + 23.8464i 1.01989 + 0.946316i
\(636\) −2.50308 + 0.306214i −0.0992535 + 0.0121422i
\(637\) 42.7303 5.69343i 1.69304 0.225582i
\(638\) −2.02571 −0.0801988
\(639\) 11.4325 + 6.31316i 0.452265 + 0.249745i
\(640\) 12.7259 + 32.4251i 0.503036 + 1.28171i
\(641\) 3.40963 + 45.4984i 0.134672 + 1.79708i 0.499820 + 0.866129i \(0.333400\pi\)
−0.365147 + 0.930950i \(0.618981\pi\)
\(642\) −16.5666 30.6351i −0.653830 1.20907i
\(643\) −14.9857 + 38.1830i −0.590980 + 1.50579i 0.251935 + 0.967744i \(0.418933\pi\)
−0.842914 + 0.538048i \(0.819162\pi\)
\(644\) −1.72440 + 0.114375i −0.0679509 + 0.00450701i
\(645\) 25.2856 + 46.7586i 0.995621 + 1.84112i
\(646\) 1.92469 + 8.43262i 0.0757259 + 0.331777i
\(647\) 3.61519 0.544902i 0.142128 0.0214223i −0.0775930 0.996985i \(-0.524723\pi\)
0.219721 + 0.975563i \(0.429485\pi\)
\(648\) −18.5820 + 18.6089i −0.729970 + 0.731025i
\(649\) 0.696179 + 0.474647i 0.0273274 + 0.0186315i
\(650\) −45.0547 41.8047i −1.76719 1.63971i
\(651\) 1.17548 + 0.131300i 0.0460706 + 0.00514607i
\(652\) −2.50488 + 2.32419i −0.0980988 + 0.0910224i
\(653\) 10.9058 1.64379i 0.426778 0.0643264i 0.0678585 0.997695i \(-0.478383\pi\)
0.358919 + 0.933369i \(0.383145\pi\)
\(654\) 2.19423 1.40807i 0.0858011 0.0550599i
\(655\) 6.11044 + 10.5836i 0.238754 + 0.413535i
\(656\) 3.54517 + 6.14042i 0.138416 + 0.239743i
\(657\) 2.03696 + 0.754969i 0.0794695 + 0.0294541i
\(658\) −1.49150 0.878243i −0.0581446 0.0342375i
\(659\) −34.6330 + 23.6124i −1.34911 + 0.919808i −0.999852 0.0172187i \(-0.994519\pi\)
−0.349258 + 0.937026i \(0.613566\pi\)
\(660\) 0.0423428 + 0.212671i 0.00164819 + 0.00827821i
\(661\) 0.223178 + 0.977807i 0.00868062 + 0.0380323i 0.979083 0.203462i \(-0.0652195\pi\)
−0.970402 + 0.241495i \(0.922362\pi\)
\(662\) 0.734037 + 3.21603i 0.0285292 + 0.124994i
\(663\) 3.68059 + 18.4862i 0.142942 + 0.717943i
\(664\) −9.41004 + 6.41565i −0.365180 + 0.248976i
\(665\) −22.9234 + 24.2848i −0.888932 + 0.941725i
\(666\) 24.5507 20.3560i 0.951320 0.788779i
\(667\) 13.6274 + 23.6034i 0.527656 + 0.913927i
\(668\) 1.39082 + 2.40896i 0.0538123 + 0.0932056i
\(669\) 20.5415 13.1818i 0.794180 0.509638i
\(670\) 55.6141 8.38248i 2.14856 0.323843i
\(671\) −2.63255 + 2.44265i −0.101628 + 0.0942974i
\(672\) 3.56222 1.25032i 0.137416 0.0482321i
\(673\) 7.59079 + 7.04323i 0.292604 + 0.271496i 0.812791 0.582556i \(-0.197947\pi\)
−0.520187 + 0.854052i \(0.674138\pi\)
\(674\) −15.4927 10.5627i −0.596755 0.406860i
\(675\) 29.9849 23.4830i 1.15412 0.903863i
\(676\) 3.59667 0.542111i 0.138333 0.0208504i
\(677\) −8.31984 36.4516i −0.319758 1.40095i −0.837979 0.545703i \(-0.816263\pi\)
0.518221 0.855247i \(-0.326594\pi\)
\(678\) 10.5775 + 19.5601i 0.406227 + 0.751201i
\(679\) −17.4090 + 25.0700i −0.668095 + 0.962098i
\(680\) −6.62401 + 16.8777i −0.254019 + 0.647231i
\(681\) 2.56155 + 4.73685i 0.0981588 + 0.181517i
\(682\) 0.00641674 + 0.0856255i 0.000245710 + 0.00327877i
\(683\) 12.1245 + 30.8926i 0.463929 + 1.18207i 0.951132 + 0.308784i \(0.0999220\pi\)
−0.487203 + 0.873289i \(0.661983\pi\)
\(684\) 0.0299955 + 1.57346i 0.00114691 + 0.0601627i
\(685\) −48.7795 −1.86377
\(686\) −11.5221 + 22.4318i −0.439915 + 0.856451i
\(687\) −1.98189 + 0.242455i −0.0756140 + 0.00925024i
\(688\) 23.6221 + 21.9181i 0.900583 + 0.835618i
\(689\) 38.3066 48.0349i 1.45936 1.82999i
\(690\) −27.8640 + 24.4450i −1.06076 + 0.930604i
\(691\) −25.4667 + 31.9342i −0.968797 + 1.21483i 0.00784680 + 0.999969i \(0.497502\pi\)
−0.976644 + 0.214864i \(0.931069\pi\)
\(692\) −0.783800 0.982854i −0.0297956 0.0373625i
\(693\) −1.91443 + 0.309130i −0.0727234 + 0.0117429i
\(694\) 23.3214 29.2441i 0.885267 1.11009i
\(695\) 12.5405 + 54.9434i 0.475687 + 2.08412i
\(696\) −21.9979 21.5825i −0.833826 0.818082i
\(697\) −0.756228 + 3.31325i −0.0286442 + 0.125498i
\(698\) −0.899979 + 12.0094i −0.0340647 + 0.454562i
\(699\) −29.3583 21.2382i −1.11043 0.803302i
\(700\) −2.76435 + 0.606069i −0.104482 + 0.0229073i
\(701\) −3.35145 14.6837i −0.126583 0.554594i −0.997952 0.0639670i \(-0.979625\pi\)
0.871369 0.490627i \(-0.163232\pi\)
\(702\) 0.383786 43.5699i 0.0144851 1.64444i
\(703\) 2.09726 27.9860i 0.0790998 1.05551i
\(704\) 1.03780 + 1.79753i 0.0391137 + 0.0677469i
\(705\) 2.90042 0.354823i 0.109236 0.0133634i
\(706\) 1.28422 + 0.875565i 0.0483322 + 0.0329523i
\(707\) −12.7740 3.03098i −0.480416 0.113992i
\(708\) 0.170216 + 0.854928i 0.00639712 + 0.0321301i
\(709\) −8.80499 4.24026i −0.330678 0.159246i 0.261176 0.965291i \(-0.415890\pi\)
−0.591854 + 0.806045i \(0.701604\pi\)
\(710\) −19.8892 6.13502i −0.746430 0.230243i
\(711\) −5.45003 0.304093i −0.204392 0.0114044i
\(712\) 2.37401 + 31.6789i 0.0889697 + 1.18722i
\(713\) 0.954531 0.650788i 0.0357475 0.0243722i
\(714\) −10.1108 4.39972i −0.378386 0.164656i
\(715\) −4.36516 2.97611i −0.163248 0.111300i
\(716\) 1.33187 2.30687i 0.0497745 0.0862119i
\(717\) 7.57890 17.8328i 0.283039 0.665979i
\(718\) −21.6033 14.7289i −0.806229 0.549677i
\(719\) 14.0384 35.7692i 0.523543 1.33397i −0.387582 0.921835i \(-0.626690\pi\)
0.911125 0.412130i \(-0.135215\pi\)
\(720\) 21.2623 32.5002i 0.792400 1.21121i
\(721\) −8.08053 27.0162i −0.300935 1.00614i
\(722\) 6.06713 + 5.62948i 0.225795 + 0.209507i
\(723\) −0.148424 3.16032i −0.00551996 0.117534i
\(724\) −0.760613 + 3.33246i −0.0282680 + 0.123850i
\(725\) 27.8272 + 34.8942i 1.03347 + 1.29594i
\(726\) 8.75357 + 24.2717i 0.324875 + 0.900808i
\(727\) 4.75417 + 12.1134i 0.176322 + 0.449262i 0.991525 0.129913i \(-0.0414699\pi\)
−0.815203 + 0.579175i \(0.803375\pi\)
\(728\) −21.0235 + 42.7154i −0.779182 + 1.58314i
\(729\) 26.6234 + 4.49383i 0.986052 + 0.166438i
\(730\) −3.42352 0.516013i −0.126710 0.0190985i
\(731\) 1.15423 + 15.4022i 0.0426908 + 0.569669i
\(732\) −3.71389 0.103530i −0.137269 0.00382660i
\(733\) −14.5657 13.5150i −0.537996 0.499187i 0.363725 0.931506i \(-0.381505\pi\)
−0.901721 + 0.432319i \(0.857695\pi\)
\(734\) 5.60543 + 9.70889i 0.206900 + 0.358362i
\(735\) −7.59633 41.8898i −0.280195 1.54513i
\(736\) 1.84373 3.19343i 0.0679608 0.117712i
\(737\) 2.74630 0.847122i 0.101161 0.0312041i
\(738\) 3.27304 7.14163i 0.120482 0.262887i
\(739\) −5.64007 + 3.84534i −0.207473 + 0.141453i −0.662599 0.748974i \(-0.730547\pi\)
0.455126 + 0.890427i \(0.349594\pi\)
\(740\) 2.49435 3.12782i 0.0916943 0.114981i
\(741\) −27.3693 26.8525i −1.00544 0.986452i
\(742\) 10.2993 + 34.4343i 0.378097 + 1.26412i
\(743\) −25.3094 3.81478i −0.928511 0.139951i −0.332661 0.943046i \(-0.607947\pi\)
−0.595850 + 0.803096i \(0.703185\pi\)
\(744\) −0.842595 + 0.998199i −0.0308910 + 0.0365958i
\(745\) 24.3476 62.0367i 0.892028 2.27285i
\(746\) 33.5552 + 31.1347i 1.22854 + 1.13992i
\(747\) 10.9642 + 4.06372i 0.401159 + 0.148684i
\(748\) −0.0140202 + 0.0614264i −0.000512628 + 0.00224597i
\(749\) 30.7542 24.0974i 1.12373 0.880500i
\(750\) −12.4444 + 14.7425i −0.454405 + 0.538321i
\(751\) −46.0138 + 6.93547i −1.67907 + 0.253079i −0.918283 0.395925i \(-0.870424\pi\)
−0.760785 + 0.649004i \(0.775186\pi\)
\(752\) 1.59593 0.768559i 0.0581976 0.0280265i
\(753\) −1.64990 2.19151i −0.0601258 0.0798631i
\(754\) 51.0596 1.85948
\(755\) 21.6157 10.4096i 0.786676 0.378843i
\(756\) −1.63775 1.15880i −0.0595645 0.0421450i
\(757\) −5.72524 2.75713i −0.208087 0.100210i 0.326937 0.945046i \(-0.393983\pi\)
−0.535025 + 0.844836i \(0.679698\pi\)
\(758\) −0.269806 0.129932i −0.00979979 0.00471933i
\(759\) −1.22177 + 1.44740i −0.0443476 + 0.0525373i
\(760\) −8.20699 35.9572i −0.297699 1.30430i
\(761\) −40.1380 + 27.3656i −1.45500 + 0.992003i −0.460457 + 0.887682i \(0.652315\pi\)
−0.994544 + 0.104321i \(0.966733\pi\)
\(762\) −4.59813 23.0946i −0.166573 0.836628i
\(763\) 1.97091 + 2.16099i 0.0713518 + 0.0782330i
\(764\) 2.35691 1.13503i 0.0852699 0.0410638i
\(765\) 18.0661 4.48740i 0.653182 0.162242i
\(766\) 0.891820 1.54468i 0.0322228 0.0558115i
\(767\) −17.5477 11.9638i −0.633611 0.431989i
\(768\) −1.50591 + 5.84229i −0.0543398 + 0.210815i
\(769\) 9.66709 8.96975i 0.348604 0.323457i −0.486363 0.873757i \(-0.661677\pi\)
0.834968 + 0.550299i \(0.185486\pi\)
\(770\) 2.88655 1.10444i 0.104024 0.0398012i