Properties

Label 414.2.m.a.13.10
Level $414$
Weight $2$
Character 414.13
Analytic conductor $3.306$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 414 = 2 \cdot 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 414.m (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.30580664368\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 13.10
Character \(\chi\) \(=\) 414.13
Dual form 414.2.m.a.223.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.327068 - 0.945001i) q^{2} +(1.32227 - 1.11875i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.518620 - 0.728300i) q^{5} +(-0.624745 - 1.61545i) q^{6} +(-0.945394 - 3.89697i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.496807 - 2.95858i) q^{9} +O(q^{10})\) \(q+(0.327068 - 0.945001i) q^{2} +(1.32227 - 1.11875i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(-0.518620 - 0.728300i) q^{5} +(-0.624745 - 1.61545i) q^{6} +(-0.945394 - 3.89697i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.496807 - 2.95858i) q^{9} +(-0.857868 + 0.251893i) q^{10} +(0.237462 + 0.0457670i) q^{11} +(-1.73094 + 0.0620208i) q^{12} +(-1.47689 + 6.08781i) q^{13} +(-3.99184 - 0.381175i) q^{14} +(-1.50054 - 0.382806i) q^{15} +(0.235759 + 0.971812i) q^{16} +(0.903107 + 6.28124i) q^{17} +(-2.63337 - 1.43714i) q^{18} +(0.398527 - 2.77182i) q^{19} +(-0.0425423 + 0.893072i) q^{20} +(-5.60979 - 4.09519i) q^{21} +(0.120916 - 0.209432i) q^{22} +(1.94182 - 4.38513i) q^{23} +(-0.507525 + 1.65602i) q^{24} +(1.37389 - 3.96958i) q^{25} +(5.26994 + 3.38679i) q^{26} +(-2.65299 - 4.46785i) q^{27} +(-1.66581 + 3.64763i) q^{28} +(4.89713 - 3.85115i) q^{29} +(-0.852530 + 1.29281i) q^{30} +(0.0101300 + 0.212655i) q^{31} +(0.995472 + 0.0950560i) q^{32} +(0.365191 - 0.205143i) q^{33} +(6.23116 + 1.20096i) q^{34} +(-2.34786 + 2.70957i) q^{35} +(-2.21939 + 2.01849i) q^{36} +(-3.98016 - 8.71533i) q^{37} +(-2.48903 - 1.28318i) q^{38} +(4.85788 + 9.70200i) q^{39} +(0.830040 + 0.332298i) q^{40} +(6.12334 + 8.59902i) q^{41} +(-5.70474 + 3.96185i) q^{42} +(0.0362295 - 0.760551i) q^{43} +(-0.158366 - 0.182764i) q^{44} +(-2.41239 + 1.17255i) q^{45} +(-3.50884 - 3.26926i) q^{46} +(0.622078 + 1.07747i) q^{47} +(1.39895 + 1.02124i) q^{48} +(-8.07073 + 4.16075i) q^{49} +(-3.30190 - 2.59665i) q^{50} +(8.22128 + 7.29516i) q^{51} +(4.92415 - 3.87239i) q^{52} +(10.3251 + 3.03173i) q^{53} +(-5.08983 + 1.04579i) q^{54} +(-0.0898203 - 0.196679i) q^{55} +(2.90217 + 2.76722i) q^{56} +(-2.57401 - 4.11095i) q^{57} +(-2.03764 - 5.88738i) q^{58} +(-0.636660 + 2.62435i) q^{59} +(0.942870 + 1.22848i) q^{60} +(-3.20672 - 1.65318i) q^{61} +(0.204272 + 0.0599797i) q^{62} +(-11.9992 + 0.860981i) q^{63} +(0.415415 - 0.909632i) q^{64} +(5.19969 - 2.08164i) q^{65} +(-0.0744184 - 0.412201i) q^{66} +(14.2758 - 2.75143i) q^{67} +(3.17292 - 5.49565i) q^{68} +(-2.33824 - 7.97074i) q^{69} +(1.79264 + 3.10494i) q^{70} +(2.60048 + 3.00111i) q^{71} +(1.18159 + 2.75751i) q^{72} +(-2.16121 + 15.0315i) q^{73} +(-9.53777 + 0.910747i) q^{74} +(-2.62431 - 6.78590i) q^{75} +(-2.02669 + 1.93244i) q^{76} +(-0.0461424 - 0.968648i) q^{77} +(10.7573 - 1.41748i) q^{78} +(-8.08815 - 7.71203i) q^{79} +(0.585501 - 0.675704i) q^{80} +(-8.50637 - 2.93968i) q^{81} +(10.1288 - 2.97409i) q^{82} +(-3.31066 + 4.64918i) q^{83} +(1.87811 + 6.68678i) q^{84} +(4.10626 - 3.91531i) q^{85} +(-0.706872 - 0.282989i) q^{86} +(2.16688 - 10.5709i) q^{87} +(-0.224509 + 0.0898798i) q^{88} +(4.94391 + 3.17726i) q^{89} +(0.319050 + 2.66321i) q^{90} +25.1202 q^{91} +(-4.23708 + 2.24659i) q^{92} +(0.251301 + 0.269854i) q^{93} +(1.22167 - 0.235458i) q^{94} +(-2.22540 + 1.14727i) q^{95} +(1.42263 - 0.987992i) q^{96} +(9.66885 - 0.923263i) q^{97} +(1.29223 + 8.98769i) q^{98} +(0.253378 - 0.679811i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 12 q^{2} + 12 q^{4} - 13 q^{7} + 24 q^{8} - 36 q^{9} + 2 q^{11} + 11 q^{12} + 4 q^{13} + 2 q^{14} + 6 q^{15} + 12 q^{16} - 8 q^{17} - 18 q^{18} + 12 q^{19} - 29 q^{21} + 20 q^{22} + 10 q^{25} + 8 q^{26} - 18 q^{27} + 4 q^{28} - 8 q^{29} - 18 q^{30} - 12 q^{32} + 50 q^{33} - 4 q^{34} - 12 q^{35} - 4 q^{36} + 92 q^{37} + 6 q^{38} + 44 q^{39} + 2 q^{41} + 42 q^{42} - 14 q^{43} - 4 q^{44} - 2 q^{45} - 44 q^{46} + 10 q^{47} - 22 q^{48} + 43 q^{49} - 43 q^{50} - 90 q^{51} - 18 q^{52} + 16 q^{53} - 29 q^{54} - 8 q^{55} + 13 q^{56} + 7 q^{57} + 8 q^{58} - 84 q^{59} + 9 q^{60} - 53 q^{61} - 66 q^{62} + 11 q^{63} - 24 q^{64} + 79 q^{65} - 110 q^{66} + 46 q^{67} - 40 q^{68} - 55 q^{69} - 6 q^{70} - 14 q^{71} - 19 q^{72} + 16 q^{73} + 46 q^{74} - 44 q^{75} - 6 q^{76} - 96 q^{77} + 20 q^{78} + 20 q^{79} - 22 q^{80} - 56 q^{81} + 26 q^{82} + 57 q^{83} + 5 q^{84} - 2 q^{85} - 8 q^{86} - 198 q^{87} - 2 q^{88} + 60 q^{89} - 22 q^{90} - 252 q^{91} - 218 q^{93} - 10 q^{94} + 6 q^{95} - q^{97} + 20 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(235\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.327068 0.945001i 0.231272 0.668216i
\(3\) 1.32227 1.11875i 0.763414 0.645909i
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) −0.518620 0.728300i −0.231934 0.325706i 0.682164 0.731199i \(-0.261039\pi\)
−0.914098 + 0.405494i \(0.867100\pi\)
\(6\) −0.624745 1.61545i −0.255051 0.659507i
\(7\) −0.945394 3.89697i −0.357325 1.47291i −0.812735 0.582633i \(-0.802023\pi\)
0.455410 0.890282i \(-0.349493\pi\)
\(8\) −0.841254 + 0.540641i −0.297428 + 0.191145i
\(9\) 0.496807 2.95858i 0.165602 0.986193i
\(10\) −0.857868 + 0.251893i −0.271282 + 0.0796555i
\(11\) 0.237462 + 0.0457670i 0.0715974 + 0.0137993i 0.224924 0.974376i \(-0.427787\pi\)
−0.153327 + 0.988176i \(0.548999\pi\)
\(12\) −1.73094 + 0.0620208i −0.499679 + 0.0179039i
\(13\) −1.47689 + 6.08781i −0.409615 + 1.68845i 0.276543 + 0.961002i \(0.410811\pi\)
−0.686158 + 0.727453i \(0.740704\pi\)
\(14\) −3.99184 0.381175i −1.06687 0.101873i
\(15\) −1.50054 0.382806i −0.387438 0.0988400i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) 0.903107 + 6.28124i 0.219036 + 1.52343i 0.741610 + 0.670832i \(0.234063\pi\)
−0.522574 + 0.852594i \(0.675028\pi\)
\(18\) −2.63337 1.43714i −0.620691 0.338737i
\(19\) 0.398527 2.77182i 0.0914285 0.635899i −0.891652 0.452722i \(-0.850453\pi\)
0.983080 0.183177i \(-0.0586380\pi\)
\(20\) −0.0425423 + 0.893072i −0.00951274 + 0.199697i
\(21\) −5.60979 4.09519i −1.22416 0.893644i
\(22\) 0.120916 0.209432i 0.0257794 0.0446512i
\(23\) 1.94182 4.38513i 0.404898 0.914362i
\(24\) −0.507525 + 1.65602i −0.103598 + 0.338035i
\(25\) 1.37389 3.96958i 0.274777 0.793916i
\(26\) 5.26994 + 3.38679i 1.03352 + 0.664203i
\(27\) −2.65299 4.46785i −0.510568 0.859837i
\(28\) −1.66581 + 3.64763i −0.314809 + 0.689336i
\(29\) 4.89713 3.85115i 0.909374 0.715140i −0.0495590 0.998771i \(-0.515782\pi\)
0.958933 + 0.283631i \(0.0915392\pi\)
\(30\) −0.852530 + 1.29281i −0.155650 + 0.236033i
\(31\) 0.0101300 + 0.212655i 0.00181940 + 0.0381939i 0.999594 0.0284763i \(-0.00906550\pi\)
−0.997775 + 0.0666702i \(0.978762\pi\)
\(32\) 0.995472 + 0.0950560i 0.175976 + 0.0168037i
\(33\) 0.365191 0.205143i 0.0635715 0.0357109i
\(34\) 6.23116 + 1.20096i 1.06863 + 0.205962i
\(35\) −2.34786 + 2.70957i −0.396861 + 0.458002i
\(36\) −2.21939 + 2.01849i −0.369898 + 0.336416i
\(37\) −3.98016 8.71533i −0.654334 1.43279i −0.887709 0.460404i \(-0.847704\pi\)
0.233376 0.972387i \(-0.425023\pi\)
\(38\) −2.48903 1.28318i −0.403773 0.208160i
\(39\) 4.85788 + 9.70200i 0.777883 + 1.55356i
\(40\) 0.830040 + 0.332298i 0.131241 + 0.0525409i
\(41\) 6.12334 + 8.59902i 0.956305 + 1.34294i 0.939304 + 0.343086i \(0.111472\pi\)
0.0170006 + 0.999855i \(0.494588\pi\)
\(42\) −5.70474 + 3.96185i −0.880261 + 0.611327i
\(43\) 0.0362295 0.760551i 0.00552495 0.115983i −0.994420 0.105493i \(-0.966358\pi\)
0.999945 0.0104898i \(-0.00333908\pi\)
\(44\) −0.158366 0.182764i −0.0238746 0.0275528i
\(45\) −2.41239 + 1.17255i −0.359617 + 0.174794i
\(46\) −3.50884 3.26926i −0.517350 0.482026i
\(47\) 0.622078 + 1.07747i 0.0907394 + 0.157165i 0.907822 0.419355i \(-0.137744\pi\)
−0.817083 + 0.576520i \(0.804410\pi\)
\(48\) 1.39895 + 1.02124i 0.201921 + 0.147404i
\(49\) −8.07073 + 4.16075i −1.15296 + 0.594393i
\(50\) −3.30190 2.59665i −0.466960 0.367221i
\(51\) 8.22128 + 7.29516i 1.15121 + 1.02153i
\(52\) 4.92415 3.87239i 0.682856 0.537004i
\(53\) 10.3251 + 3.03173i 1.41827 + 0.416441i 0.898916 0.438121i \(-0.144356\pi\)
0.519350 + 0.854561i \(0.326174\pi\)
\(54\) −5.08983 + 1.04579i −0.692638 + 0.142314i
\(55\) −0.0898203 0.196679i −0.0121114 0.0265202i
\(56\) 2.90217 + 2.76722i 0.387819 + 0.369785i
\(57\) −2.57401 4.11095i −0.340935 0.544509i
\(58\) −2.03764 5.88738i −0.267555 0.773051i
\(59\) −0.636660 + 2.62435i −0.0828861 + 0.341661i −0.998122 0.0612573i \(-0.980489\pi\)
0.915236 + 0.402918i \(0.132004\pi\)
\(60\) 0.942870 + 1.22848i 0.121724 + 0.158596i
\(61\) −3.20672 1.65318i −0.410579 0.211668i 0.240548 0.970637i \(-0.422673\pi\)
−0.651127 + 0.758969i \(0.725703\pi\)
\(62\) 0.204272 + 0.0599797i 0.0259426 + 0.00761742i
\(63\) −11.9992 + 0.860981i −1.51175 + 0.108473i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) 5.19969 2.08164i 0.644943 0.258196i
\(66\) −0.0744184 0.412201i −0.00916027 0.0507385i
\(67\) 14.2758 2.75143i 1.74407 0.336141i 0.785037 0.619449i \(-0.212644\pi\)
0.959029 + 0.283307i \(0.0914317\pi\)
\(68\) 3.17292 5.49565i 0.384773 0.666446i
\(69\) −2.33824 7.97074i −0.281490 0.959564i
\(70\) 1.79264 + 3.10494i 0.214262 + 0.371112i
\(71\) 2.60048 + 3.00111i 0.308620 + 0.356166i 0.888778 0.458337i \(-0.151555\pi\)
−0.580159 + 0.814504i \(0.697009\pi\)
\(72\) 1.18159 + 2.75751i 0.139251 + 0.324975i
\(73\) −2.16121 + 15.0315i −0.252950 + 1.75931i 0.327347 + 0.944904i \(0.393845\pi\)
−0.580297 + 0.814405i \(0.697064\pi\)
\(74\) −9.53777 + 0.910747i −1.10874 + 0.105872i
\(75\) −2.62431 6.78590i −0.303029 0.783568i
\(76\) −2.02669 + 1.93244i −0.232477 + 0.221667i
\(77\) −0.0461424 0.968648i −0.00525841 0.110388i
\(78\) 10.7573 1.41748i 1.21802 0.160498i
\(79\) −8.08815 7.71203i −0.909987 0.867671i 0.0816586 0.996660i \(-0.473978\pi\)
−0.991646 + 0.128989i \(0.958827\pi\)
\(80\) 0.585501 0.675704i 0.0654610 0.0755460i
\(81\) −8.50637 2.93968i −0.945152 0.326632i
\(82\) 10.1288 2.97409i 1.11854 0.328434i
\(83\) −3.31066 + 4.64918i −0.363392 + 0.510313i −0.955278 0.295709i \(-0.904444\pi\)
0.591886 + 0.806022i \(0.298384\pi\)
\(84\) 1.87811 + 6.68678i 0.204919 + 0.729588i
\(85\) 4.10626 3.91531i 0.445386 0.424675i
\(86\) −0.706872 0.282989i −0.0762240 0.0305155i
\(87\) 2.16688 10.5709i 0.232314 1.13332i
\(88\) −0.224509 + 0.0898798i −0.0239327 + 0.00958122i
\(89\) 4.94391 + 3.17726i 0.524054 + 0.336789i 0.775774 0.631011i \(-0.217360\pi\)
−0.251720 + 0.967800i \(0.580996\pi\)
\(90\) 0.319050 + 2.66321i 0.0336308 + 0.280727i
\(91\) 25.1202 2.63332
\(92\) −4.23708 + 2.24659i −0.441746 + 0.234223i
\(93\) 0.251301 + 0.269854i 0.0260587 + 0.0279826i
\(94\) 1.22167 0.235458i 0.126006 0.0242857i
\(95\) −2.22540 + 1.14727i −0.228321 + 0.117708i
\(96\) 1.42263 0.987992i 0.145196 0.100837i
\(97\) 9.66885 0.923263i 0.981723 0.0937432i 0.408165 0.912908i \(-0.366169\pi\)
0.573558 + 0.819165i \(0.305563\pi\)
\(98\) 1.29223 + 8.98769i 0.130535 + 0.907894i
\(99\) 0.253378 0.679811i 0.0254654 0.0683236i
\(100\) −3.53378 + 2.27102i −0.353378 + 0.227102i
\(101\) −4.66692 + 6.55377i −0.464376 + 0.652124i −0.978658 0.205497i \(-0.934119\pi\)
0.514282 + 0.857621i \(0.328058\pi\)
\(102\) 9.58285 5.38310i 0.948844 0.533006i
\(103\) 0.236207 + 0.682475i 0.0232742 + 0.0672463i 0.956040 0.293238i \(-0.0947327\pi\)
−0.932765 + 0.360484i \(0.882612\pi\)
\(104\) −2.04888 5.91986i −0.200909 0.580490i
\(105\) −0.0731789 + 6.20946i −0.00714153 + 0.605981i
\(106\) 6.24201 8.76568i 0.606278 0.851398i
\(107\) −8.85957 + 5.69370i −0.856487 + 0.550431i −0.893592 0.448881i \(-0.851823\pi\)
0.0371048 + 0.999311i \(0.488186\pi\)
\(108\) −0.676450 + 5.15193i −0.0650914 + 0.495745i
\(109\) −0.386228 2.68628i −0.0369940 0.257299i 0.962928 0.269757i \(-0.0869434\pi\)
−0.999922 + 0.0124583i \(0.996034\pi\)
\(110\) −0.215239 + 0.0205528i −0.0205222 + 0.00195964i
\(111\) −15.0131 7.07124i −1.42498 0.671173i
\(112\) 3.56423 1.83749i 0.336788 0.173626i
\(113\) −4.86884 + 0.938392i −0.458022 + 0.0882765i −0.413043 0.910711i \(-0.635534\pi\)
−0.0449789 + 0.998988i \(0.514322\pi\)
\(114\) −4.72673 + 1.08788i −0.442699 + 0.101889i
\(115\) −4.20075 + 0.859986i −0.391722 + 0.0801942i
\(116\) −6.23003 −0.578443
\(117\) 17.2775 + 7.39395i 1.59731 + 0.683571i
\(118\) 2.27178 + 1.45998i 0.209134 + 0.134402i
\(119\) 23.6240 9.45762i 2.16561 0.866979i
\(120\) 1.46930 0.489217i 0.134128 0.0446592i
\(121\) −10.1578 4.06655i −0.923432 0.369686i
\(122\) −2.61107 + 2.48965i −0.236396 + 0.225403i
\(123\) 17.7169 + 4.51978i 1.59748 + 0.407535i
\(124\) 0.123492 0.173420i 0.0110899 0.0155736i
\(125\) −7.89291 + 2.31757i −0.705963 + 0.207290i
\(126\) −3.11091 + 11.6208i −0.277142 + 1.03526i
\(127\) −9.71332 + 11.2098i −0.861918 + 0.994706i 0.138073 + 0.990422i \(0.455909\pi\)
−0.999991 + 0.00428426i \(0.998636\pi\)
\(128\) −0.723734 0.690079i −0.0639697 0.0609949i
\(129\) −0.802960 1.04619i −0.0706967 0.0921117i
\(130\) −0.266501 5.59455i −0.0233737 0.490675i
\(131\) 6.64444 6.33546i 0.580527 0.553531i −0.341883 0.939742i \(-0.611065\pi\)
0.922411 + 0.386211i \(0.126216\pi\)
\(132\) −0.413870 0.0644923i −0.0360228 0.00561334i
\(133\) −11.1785 + 1.06741i −0.969295 + 0.0925564i
\(134\) 2.06905 14.3905i 0.178739 1.24315i
\(135\) −1.87804 + 4.24929i −0.161636 + 0.365720i
\(136\) −4.15564 4.79586i −0.356343 0.411242i
\(137\) 4.00729 + 6.94083i 0.342366 + 0.592996i 0.984872 0.173286i \(-0.0554383\pi\)
−0.642505 + 0.766281i \(0.722105\pi\)
\(138\) −8.29712 0.397339i −0.706297 0.0338237i
\(139\) 1.22306 2.11840i 0.103738 0.179680i −0.809484 0.587142i \(-0.800253\pi\)
0.913222 + 0.407462i \(0.133586\pi\)
\(140\) 3.52049 0.678519i 0.297536 0.0573453i
\(141\) 2.02797 + 0.728761i 0.170786 + 0.0613728i
\(142\) 3.68658 1.47589i 0.309371 0.123854i
\(143\) −0.629324 + 1.37803i −0.0526268 + 0.115237i
\(144\) 2.99231 0.214708i 0.249359 0.0178924i
\(145\) −5.34454 1.56930i −0.443840 0.130323i
\(146\) 13.4980 + 6.95868i 1.11710 + 0.575904i
\(147\) −6.01687 + 14.5307i −0.496263 + 1.19848i
\(148\) −2.25884 + 9.31108i −0.185676 + 0.765366i
\(149\) −2.16095 6.24364i −0.177032 0.511499i 0.821220 0.570612i \(-0.193294\pi\)
−0.998251 + 0.0591129i \(0.981173\pi\)
\(150\) −7.27101 + 0.260525i −0.593675 + 0.0212718i
\(151\) 14.1529 + 13.4948i 1.15175 + 1.09819i 0.993850 + 0.110733i \(0.0353198\pi\)
0.157897 + 0.987456i \(0.449529\pi\)
\(152\) 1.16330 + 2.54726i 0.0943558 + 0.206610i
\(153\) 19.0322 + 0.448654i 1.53866 + 0.0362715i
\(154\) −0.930464 0.273209i −0.0749790 0.0220158i
\(155\) 0.149623 0.117665i 0.0120180 0.00945105i
\(156\) 2.17883 10.6292i 0.174446 0.851019i
\(157\) −2.86649 2.25423i −0.228771 0.179907i 0.497194 0.867640i \(-0.334364\pi\)
−0.725964 + 0.687732i \(0.758606\pi\)
\(158\) −9.93325 + 5.12095i −0.790247 + 0.407401i
\(159\) 17.0444 7.54245i 1.35171 0.598155i
\(160\) −0.447042 0.774300i −0.0353418 0.0612138i
\(161\) −18.9245 3.42154i −1.49146 0.269655i
\(162\) −5.56016 + 7.07705i −0.436848 + 0.556025i
\(163\) 9.09407 + 10.4951i 0.712303 + 0.822041i 0.990359 0.138524i \(-0.0442357\pi\)
−0.278057 + 0.960565i \(0.589690\pi\)
\(164\) 0.502296 10.5445i 0.0392227 0.823386i
\(165\) −0.338801 0.159577i −0.0263756 0.0124230i
\(166\) 3.31066 + 4.64918i 0.256957 + 0.360846i
\(167\) 15.0857 + 6.03942i 1.16737 + 0.467344i 0.872701 0.488255i \(-0.162366\pi\)
0.294669 + 0.955599i \(0.404791\pi\)
\(168\) 6.93328 + 0.412214i 0.534914 + 0.0318030i
\(169\) −23.3254 12.0251i −1.79426 0.925005i
\(170\) −2.35695 5.16099i −0.180770 0.395830i
\(171\) −8.00265 2.55613i −0.611978 0.195472i
\(172\) −0.498620 + 0.575438i −0.0380194 + 0.0438767i
\(173\) −14.3463 2.76503i −1.09073 0.210221i −0.387988 0.921664i \(-0.626830\pi\)
−0.702744 + 0.711443i \(0.748042\pi\)
\(174\) −9.28081 5.50511i −0.703576 0.417341i
\(175\) −16.7682 1.60117i −1.26756 0.121037i
\(176\) 0.0115068 + 0.241558i 0.000867359 + 0.0182081i
\(177\) 2.09415 + 4.18236i 0.157406 + 0.314366i
\(178\) 4.61951 3.63282i 0.346247 0.272291i
\(179\) −6.78855 + 14.8648i −0.507400 + 1.11105i 0.466593 + 0.884472i \(0.345481\pi\)
−0.973993 + 0.226578i \(0.927246\pi\)
\(180\) 2.62109 + 0.569549i 0.195364 + 0.0424517i
\(181\) −16.8697 10.8415i −1.25392 0.805843i −0.266476 0.963841i \(-0.585859\pi\)
−0.987439 + 0.157999i \(0.949496\pi\)
\(182\) 8.21602 23.7386i 0.609012 1.75962i
\(183\) −6.08966 + 1.40156i −0.450160 + 0.103606i
\(184\) 0.737215 + 4.73883i 0.0543482 + 0.349351i
\(185\) −4.28318 + 7.41869i −0.314906 + 0.545433i
\(186\) 0.337205 0.149219i 0.0247251 0.0109413i
\(187\) −0.0730204 + 1.53289i −0.00533978 + 0.112096i
\(188\) 0.177062 1.23149i 0.0129136 0.0898158i
\(189\) −14.9029 + 14.5625i −1.08403 + 1.05926i
\(190\) 0.356317 + 2.47824i 0.0258500 + 0.179791i
\(191\) −0.891081 3.67309i −0.0644763 0.265775i 0.930445 0.366432i \(-0.119421\pi\)
−0.994921 + 0.100657i \(0.967906\pi\)
\(192\) −0.468357 1.66753i −0.0338008 0.120343i
\(193\) 7.16762 + 0.684425i 0.515937 + 0.0492660i 0.349777 0.936833i \(-0.386257\pi\)
0.166159 + 0.986099i \(0.446863\pi\)
\(194\) 2.28989 9.43904i 0.164404 0.677684i
\(195\) 4.54658 8.56964i 0.325587 0.613685i
\(196\) 8.91602 + 1.71842i 0.636859 + 0.122744i
\(197\) 5.85438 1.71900i 0.417107 0.122474i −0.0664433 0.997790i \(-0.521165\pi\)
0.483550 + 0.875316i \(0.339347\pi\)
\(198\) −0.559550 0.461787i −0.0397655 0.0328177i
\(199\) 7.61510 4.89392i 0.539820 0.346921i −0.242149 0.970239i \(-0.577852\pi\)
0.781968 + 0.623318i \(0.214216\pi\)
\(200\) 0.990332 + 4.08220i 0.0700270 + 0.288655i
\(201\) 15.7983 19.6092i 1.11433 1.38312i
\(202\) 4.66692 + 6.55377i 0.328363 + 0.461122i
\(203\) −19.6375 15.4431i −1.37828 1.08389i
\(204\) −1.95279 10.8164i −0.136723 0.757303i
\(205\) 3.08698 8.91925i 0.215604 0.622947i
\(206\) 0.722195 0.0503177
\(207\) −12.0090 7.92359i −0.834685 0.550727i
\(208\) −6.26439 −0.434357
\(209\) 0.221493 0.639961i 0.0153210 0.0442670i
\(210\) 5.84401 + 2.10007i 0.403275 + 0.144919i
\(211\) −3.86899 3.04261i −0.266353 0.209462i 0.476046 0.879420i \(-0.342070\pi\)
−0.742399 + 0.669958i \(0.766312\pi\)
\(212\) −6.24201 8.76568i −0.428703 0.602029i
\(213\) 6.79602 + 1.05901i 0.465656 + 0.0725619i
\(214\) 2.48287 + 10.2345i 0.169725 + 0.699618i
\(215\) −0.572699 + 0.368051i −0.0390577 + 0.0251009i
\(216\) 4.64734 + 2.32428i 0.316211 + 0.158147i
\(217\) 0.819131 0.240519i 0.0556062 0.0163275i
\(218\) −2.66486 0.513609i −0.180487 0.0347860i
\(219\) 13.9588 + 22.2936i 0.943248 + 1.50646i
\(220\) −0.0509754 + 0.210123i −0.00343676 + 0.0141665i
\(221\) −39.5728 3.77874i −2.66195 0.254186i
\(222\) −11.5926 + 11.8746i −0.778047 + 0.796972i
\(223\) 2.70759 + 11.1608i 0.181314 + 0.747385i 0.987747 + 0.156061i \(0.0498795\pi\)
−0.806434 + 0.591324i \(0.798605\pi\)
\(224\) −0.570683 3.96919i −0.0381303 0.265202i
\(225\) −11.0618 6.03686i −0.737451 0.402458i
\(226\) −0.705661 + 4.90798i −0.0469398 + 0.326474i
\(227\) 1.16746 24.5080i 0.0774871 1.62666i −0.541113 0.840950i \(-0.681997\pi\)
0.618601 0.785706i \(-0.287700\pi\)
\(228\) −0.517917 + 4.82257i −0.0342999 + 0.319383i
\(229\) −5.16132 + 8.93967i −0.341070 + 0.590750i −0.984632 0.174644i \(-0.944123\pi\)
0.643562 + 0.765394i \(0.277456\pi\)
\(230\) −0.561244 + 4.25099i −0.0370073 + 0.280302i
\(231\) −1.14469 1.22919i −0.0753148 0.0808750i
\(232\) −2.03764 + 5.88738i −0.133778 + 0.386525i
\(233\) −1.97053 1.26638i −0.129094 0.0829634i 0.474500 0.880255i \(-0.342629\pi\)
−0.603594 + 0.797292i \(0.706265\pi\)
\(234\) 12.6382 13.9090i 0.826186 0.909257i
\(235\) 0.462100 1.01186i 0.0301441 0.0660063i
\(236\) 2.12271 1.66932i 0.138177 0.108663i
\(237\) −19.3225 1.14881i −1.25513 0.0746231i
\(238\) −1.21081 25.4180i −0.0784850 1.64760i
\(239\) −10.5800 1.01027i −0.684362 0.0653487i −0.252917 0.967488i \(-0.581390\pi\)
−0.431445 + 0.902139i \(0.641996\pi\)
\(240\) 0.0182491 1.54849i 0.00117797 0.0999548i
\(241\) −6.93490 1.33659i −0.446716 0.0860975i −0.0390679 0.999237i \(-0.512439\pi\)
−0.407648 + 0.913139i \(0.633651\pi\)
\(242\) −7.16517 + 8.26905i −0.460595 + 0.531554i
\(243\) −14.5365 + 5.62942i −0.932517 + 0.361127i
\(244\) 1.49873 + 3.28175i 0.0959461 + 0.210093i
\(245\) 7.21591 + 3.72006i 0.461008 + 0.237666i
\(246\) 10.0658 15.2642i 0.641773 0.973208i
\(247\) 16.2857 + 6.51982i 1.03624 + 0.414846i
\(248\) −0.123492 0.173420i −0.00784173 0.0110122i
\(249\) 0.823658 + 9.85127i 0.0521972 + 0.624299i
\(250\) −0.391415 + 8.21681i −0.0247552 + 0.519677i
\(251\) −2.00199 2.31042i −0.126364 0.145832i 0.689042 0.724722i \(-0.258032\pi\)
−0.815406 + 0.578890i \(0.803486\pi\)
\(252\) 9.96420 + 6.74061i 0.627685 + 0.424618i
\(253\) 0.661802 0.952428i 0.0416071 0.0598786i
\(254\) 7.41633 + 12.8455i 0.465342 + 0.805995i
\(255\) 1.04935 9.77098i 0.0657127 0.611882i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) 17.0671 + 13.4217i 1.06462 + 0.837226i 0.987154 0.159769i \(-0.0510750\pi\)
0.0774648 + 0.996995i \(0.475317\pi\)
\(258\) −1.25127 + 0.416623i −0.0779007 + 0.0259378i
\(259\) −30.2005 + 23.7499i −1.87657 + 1.47575i
\(260\) −5.37402 1.57796i −0.333283 0.0978606i
\(261\) −8.96099 16.4018i −0.554671 1.01525i
\(262\) −3.81383 8.35112i −0.235619 0.515934i
\(263\) 5.36352 + 5.11410i 0.330729 + 0.315349i 0.837189 0.546914i \(-0.184198\pi\)
−0.506460 + 0.862264i \(0.669046\pi\)
\(264\) −0.196309 + 0.370014i −0.0120820 + 0.0227728i
\(265\) −3.14681 9.09211i −0.193307 0.558524i
\(266\) −2.64741 + 10.9128i −0.162323 + 0.669104i
\(267\) 10.0917 1.32979i 0.617605 0.0813818i
\(268\) −12.9224 6.66194i −0.789359 0.406943i
\(269\) −20.5266 6.02714i −1.25153 0.367481i −0.412192 0.911097i \(-0.635237\pi\)
−0.839334 + 0.543616i \(0.817055\pi\)
\(270\) 3.40133 + 3.16455i 0.206998 + 0.192589i
\(271\) −1.33015 + 2.91262i −0.0808007 + 0.176929i −0.945720 0.324981i \(-0.894642\pi\)
0.864920 + 0.501910i \(0.167369\pi\)
\(272\) −5.89127 + 2.35851i −0.357211 + 0.143006i
\(273\) 33.2158 28.1032i 2.01031 1.70088i
\(274\) 7.86975 1.51677i 0.475429 0.0916314i
\(275\) 0.507921 0.879745i 0.0306288 0.0530506i
\(276\) −3.08921 + 7.71082i −0.185948 + 0.464137i
\(277\) 10.0759 + 17.4520i 0.605402 + 1.04859i 0.991988 + 0.126333i \(0.0403209\pi\)
−0.386586 + 0.922253i \(0.626346\pi\)
\(278\) −1.60186 1.84865i −0.0960734 0.110875i
\(279\) 0.634188 + 0.0756779i 0.0379678 + 0.00453072i
\(280\) 0.510239 3.54879i 0.0304926 0.212081i
\(281\) 11.0009 1.05046i 0.656257 0.0626649i 0.238385 0.971171i \(-0.423382\pi\)
0.417872 + 0.908506i \(0.362776\pi\)
\(282\) 1.35197 1.67808i 0.0805084 0.0999284i
\(283\) −17.6885 + 16.8660i −1.05147 + 1.00258i −0.0514824 + 0.998674i \(0.516395\pi\)
−0.999992 + 0.00390527i \(0.998757\pi\)
\(284\) −0.188950 3.96654i −0.0112121 0.235371i
\(285\) −1.65907 + 4.00667i −0.0982751 + 0.237335i
\(286\) 1.09641 + 1.04542i 0.0648318 + 0.0618170i
\(287\) 27.7211 31.9919i 1.63633 1.88842i
\(288\) 0.775788 2.89796i 0.0457137 0.170764i
\(289\) −22.3270 + 6.55581i −1.31336 + 0.385636i
\(290\) −3.23102 + 4.53733i −0.189732 + 0.266441i
\(291\) 11.7520 12.0378i 0.688912 0.705669i
\(292\) 10.9907 10.4796i 0.643183 0.613273i
\(293\) −6.44650 2.58079i −0.376608 0.150771i 0.175633 0.984456i \(-0.443803\pi\)
−0.552241 + 0.833685i \(0.686227\pi\)
\(294\) 11.7636 + 10.4385i 0.686070 + 0.608785i
\(295\) 2.24150 0.897360i 0.130505 0.0522463i
\(296\) 8.06018 + 5.17996i 0.468489 + 0.301079i
\(297\) −0.425503 1.18236i −0.0246902 0.0686076i
\(298\) −6.60702 −0.382735
\(299\) 23.8280 + 18.2978i 1.37801 + 1.05819i
\(300\) −2.13192 + 6.95632i −0.123086 + 0.401623i
\(301\) −2.99809 + 0.577835i −0.172807 + 0.0333059i
\(302\) 17.3815 8.96080i 1.00019 0.515636i
\(303\) 1.16108 + 13.8870i 0.0667023 + 0.797785i
\(304\) 2.78764 0.266188i 0.159882 0.0152669i
\(305\) 0.459060 + 3.19283i 0.0262857 + 0.182821i
\(306\) 6.64881 17.8387i 0.380087 1.01977i
\(307\) 19.8930 12.7845i 1.13535 0.729648i 0.168684 0.985670i \(-0.446048\pi\)
0.966671 + 0.256022i \(0.0824119\pi\)
\(308\) −0.562508 + 0.789932i −0.0320519 + 0.0450105i
\(309\) 1.07585 + 0.638162i 0.0612028 + 0.0363038i
\(310\) −0.0622563 0.179878i −0.00353592 0.0102164i
\(311\) −9.84236 28.4376i −0.558109 1.61255i −0.771952 0.635681i \(-0.780719\pi\)
0.213843 0.976868i \(-0.431402\pi\)
\(312\) −9.33201 5.53548i −0.528321 0.313385i
\(313\) −0.155225 + 0.217983i −0.00877383 + 0.0123211i −0.818940 0.573880i \(-0.805438\pi\)
0.810166 + 0.586201i \(0.199377\pi\)
\(314\) −3.06779 + 1.97155i −0.173125 + 0.111261i
\(315\) 6.85005 + 8.29246i 0.385957 + 0.467227i
\(316\) 1.59045 + 11.0618i 0.0894698 + 0.622276i
\(317\) 3.36310 0.321137i 0.188891 0.0180369i −0.000181966 1.00000i \(-0.500058\pi\)
0.189073 + 0.981963i \(0.439452\pi\)
\(318\) −1.55295 18.5739i −0.0870849 1.04157i
\(319\) 1.33914 0.690373i 0.0749772 0.0386534i
\(320\) −0.877927 + 0.169207i −0.0490776 + 0.00945894i
\(321\) −5.34495 + 17.4402i −0.298326 + 0.973420i
\(322\) −9.42295 + 16.7646i −0.525120 + 0.934253i
\(323\) 17.7704 0.988771
\(324\) 4.86926 + 7.56903i 0.270515 + 0.420502i
\(325\) 22.1370 + 14.2266i 1.22794 + 0.789149i
\(326\) 12.8923 5.16129i 0.714037 0.285857i
\(327\) −3.51597 3.11990i −0.194433 0.172531i
\(328\) −9.80026 3.92343i −0.541129 0.216635i
\(329\) 3.61076 3.44285i 0.199068 0.189811i
\(330\) −0.261611 + 0.267975i −0.0144012 + 0.0147515i
\(331\) −3.60630 + 5.06434i −0.198220 + 0.278362i −0.901708 0.432346i \(-0.857686\pi\)
0.703487 + 0.710708i \(0.251625\pi\)
\(332\) 5.47629 1.60798i 0.300550 0.0882495i
\(333\) −27.7623 + 7.44577i −1.52137 + 0.408026i
\(334\) 10.6413 12.2807i 0.582267 0.671972i
\(335\) −9.40758 8.97011i −0.513991 0.490090i
\(336\) 2.65720 6.41714i 0.144962 0.350084i
\(337\) 1.30443 + 27.3834i 0.0710569 + 1.49167i 0.699958 + 0.714184i \(0.253202\pi\)
−0.628901 + 0.777485i \(0.716495\pi\)
\(338\) −18.9927 + 18.1095i −1.03307 + 0.985026i
\(339\) −5.38811 + 6.68782i −0.292642 + 0.363232i
\(340\) −5.64802 + 0.539321i −0.306307 + 0.0292488i
\(341\) −0.00732707 + 0.0509609i −0.000396783 + 0.00275969i
\(342\) −5.03296 + 6.72648i −0.272151 + 0.363727i
\(343\) 5.46236 + 6.30390i 0.294940 + 0.340379i
\(344\) 0.380707 + 0.659404i 0.0205263 + 0.0355527i
\(345\) −4.59243 + 5.83672i −0.247248 + 0.314238i
\(346\) −7.30518 + 12.6529i −0.392729 + 0.680227i
\(347\) 4.18280 0.806169i 0.224545 0.0432774i −0.0757378 0.997128i \(-0.524131\pi\)
0.300282 + 0.953850i \(0.402919\pi\)
\(348\) −8.23779 + 6.96983i −0.441592 + 0.373622i
\(349\) 5.49855 2.20129i 0.294331 0.117832i −0.219798 0.975545i \(-0.570540\pi\)
0.514128 + 0.857713i \(0.328116\pi\)
\(350\) −6.99744 + 15.3223i −0.374029 + 0.819009i
\(351\) 31.1176 9.55239i 1.66093 0.509869i
\(352\) 0.232036 + 0.0681319i 0.0123676 + 0.00363144i
\(353\) −6.76128 3.48568i −0.359867 0.185524i 0.268806 0.963194i \(-0.413371\pi\)
−0.628672 + 0.777670i \(0.716401\pi\)
\(354\) 4.63727 0.611052i 0.246468 0.0324771i
\(355\) 0.837049 3.45036i 0.0444259 0.183126i
\(356\) −1.92213 5.55362i −0.101872 0.294341i
\(357\) 20.6567 38.9349i 1.09327 2.06065i
\(358\) 11.8270 + 11.2770i 0.625075 + 0.596008i
\(359\) −4.66720 10.2198i −0.246326 0.539378i 0.745571 0.666426i \(-0.232177\pi\)
−0.991897 + 0.127048i \(0.959450\pi\)
\(360\) 1.39550 2.29065i 0.0735492 0.120728i
\(361\) 10.7062 + 3.14363i 0.563485 + 0.165454i
\(362\) −15.7628 + 12.3960i −0.828473 + 0.651518i
\(363\) −17.9808 + 5.98688i −0.943745 + 0.314230i
\(364\) −19.7458 15.5283i −1.03496 0.813904i
\(365\) 12.0683 6.22165i 0.631685 0.325656i
\(366\) −0.667255 + 6.21313i −0.0348780 + 0.324766i
\(367\) −10.6249 18.4028i −0.554613 0.960617i −0.997934 0.0642544i \(-0.979533\pi\)
0.443321 0.896363i \(-0.353800\pi\)
\(368\) 4.71932 + 0.853251i 0.246011 + 0.0444788i
\(369\) 28.4830 13.8443i 1.48277 0.720706i
\(370\) 5.60978 + 6.47403i 0.291638 + 0.336569i
\(371\) 2.05324 43.1029i 0.106599 2.23779i
\(372\) −0.0307234 0.367464i −0.00159293 0.0190521i
\(373\) −5.78384 8.12227i −0.299476 0.420555i 0.637229 0.770674i \(-0.280080\pi\)
−0.936705 + 0.350119i \(0.886141\pi\)
\(374\) 1.42470 + 0.570362i 0.0736693 + 0.0294927i
\(375\) −7.84380 + 11.8946i −0.405052 + 0.614236i
\(376\) −1.10585 0.570105i −0.0570299 0.0294009i
\(377\) 16.2125 + 35.5005i 0.834988 + 1.82837i
\(378\) 8.88729 + 18.8462i 0.457113 + 0.969344i
\(379\) 0.315872 0.364536i 0.0162253 0.0187250i −0.747579 0.664173i \(-0.768784\pi\)
0.763804 + 0.645448i \(0.223329\pi\)
\(380\) 2.45848 + 0.473833i 0.126117 + 0.0243071i
\(381\) −0.302748 + 25.6891i −0.0155103 + 1.31609i
\(382\) −3.76251 0.359276i −0.192507 0.0183822i
\(383\) 1.20888 + 25.3775i 0.0617708 + 1.29673i 0.790727 + 0.612168i \(0.209703\pi\)
−0.728957 + 0.684560i \(0.759994\pi\)
\(384\) −1.72900 0.102796i −0.0882325 0.00524581i
\(385\) −0.681536 + 0.535965i −0.0347343 + 0.0273153i
\(386\) 2.99108 6.54955i 0.152242 0.333363i
\(387\) −2.23215 0.485035i −0.113467 0.0246557i
\(388\) −8.17095 5.25115i −0.414817 0.266587i
\(389\) −4.70834 + 13.6038i −0.238722 + 0.689742i 0.760463 + 0.649381i \(0.224972\pi\)
−0.999185 + 0.0403610i \(0.987149\pi\)
\(390\) −6.61128 7.09937i −0.334775 0.359491i
\(391\) 29.2977 + 8.23681i 1.48165 + 0.416553i
\(392\) 4.54006 7.86361i 0.229307 0.397172i
\(393\) 1.69797 15.8106i 0.0856515 0.797542i
\(394\) 0.290323 6.09462i 0.0146262 0.307043i
\(395\) −1.42200 + 9.89021i −0.0715484 + 0.497630i
\(396\) −0.619400 + 0.377740i −0.0311260 + 0.0189822i
\(397\) −1.34265 9.33833i −0.0673856 0.468677i −0.995375 0.0960696i \(-0.969373\pi\)
0.927989 0.372608i \(-0.121536\pi\)
\(398\) −2.13411 8.79692i −0.106973 0.440950i
\(399\) −13.5868 + 13.9173i −0.680190 + 0.696735i
\(400\) 4.18159 + 0.399294i 0.209080 + 0.0199647i
\(401\) 4.91818 20.2730i 0.245602 1.01239i −0.706769 0.707444i \(-0.749848\pi\)
0.952371 0.304941i \(-0.0986368\pi\)
\(402\) −13.3635 21.3430i −0.666513 1.06449i
\(403\) −1.30956 0.252397i −0.0652339 0.0125728i
\(404\) 7.71972 2.26671i 0.384070 0.112773i
\(405\) 2.27060 + 7.71976i 0.112827 + 0.383598i
\(406\) −21.0165 + 13.5065i −1.04303 + 0.670317i
\(407\) −0.546260 2.25172i −0.0270771 0.111613i
\(408\) −10.8602 1.69232i −0.537662 0.0837825i
\(409\) 1.06777 + 1.49947i 0.0527978 + 0.0741441i 0.840131 0.542384i \(-0.182478\pi\)
−0.787333 + 0.616528i \(0.788539\pi\)
\(410\) −7.41905 5.83440i −0.366401 0.288141i
\(411\) 13.0638 + 4.69452i 0.644389 + 0.231564i
\(412\) 0.236207 0.682475i 0.0116371 0.0336231i
\(413\) 10.8289 0.532855
\(414\) −11.4156 + 8.75699i −0.561044 + 0.430383i
\(415\) 5.10297 0.250495
\(416\) −2.04888 + 5.91986i −0.100455 + 0.290245i
\(417\) −0.752737 4.16939i −0.0368617 0.204176i
\(418\) −0.532321 0.418622i −0.0260367 0.0204755i
\(419\) 20.2432 + 28.4275i 0.988943 + 1.38878i 0.920334 + 0.391133i \(0.127917\pi\)
0.0686090 + 0.997644i \(0.478144\pi\)
\(420\) 3.89595 4.83573i 0.190103 0.235959i
\(421\) −2.82611 11.6494i −0.137736 0.567756i −0.998293 0.0584020i \(-0.981399\pi\)
0.860557 0.509354i \(-0.170116\pi\)
\(422\) −4.14069 + 2.66106i −0.201566 + 0.129538i
\(423\) 3.49683 1.30517i 0.170022 0.0634596i
\(424\) −10.3251 + 3.03173i −0.501433 + 0.147234i
\(425\) 26.1747 + 5.04476i 1.26966 + 0.244707i
\(426\) 3.22352 6.07588i 0.156180 0.294377i
\(427\) −3.41077 + 14.0594i −0.165059 + 0.680382i
\(428\) 10.4837 + 1.00107i 0.506749 + 0.0483887i
\(429\) 0.709528 + 2.52618i 0.0342563 + 0.121965i
\(430\) 0.160497 + 0.661579i 0.00773986 + 0.0319042i
\(431\) 1.28240 + 8.91931i 0.0617712 + 0.429628i 0.997116 + 0.0758911i \(0.0241801\pi\)
−0.935345 + 0.353737i \(0.884911\pi\)
\(432\) 3.71644 3.63154i 0.178807 0.174723i
\(433\) 2.04692 14.2366i 0.0983685 0.684168i −0.879646 0.475630i \(-0.842220\pi\)
0.978014 0.208538i \(-0.0668706\pi\)
\(434\) 0.0406213 0.852745i 0.00194988 0.0409331i
\(435\) −8.82258 + 3.90415i −0.423011 + 0.187190i
\(436\) −1.35695 + 2.35031i −0.0649862 + 0.112559i
\(437\) −11.3809 7.12997i −0.544423 0.341073i
\(438\) 25.6330 5.89954i 1.22479 0.281891i
\(439\) 2.00460 5.79190i 0.0956742 0.276432i −0.887001 0.461767i \(-0.847216\pi\)
0.982675 + 0.185335i \(0.0593369\pi\)
\(440\) 0.181894 + 0.116896i 0.00867147 + 0.00557281i
\(441\) 8.30031 + 25.9450i 0.395253 + 1.23547i
\(442\) −16.5139 + 36.1604i −0.785487 + 1.71998i
\(443\) −30.0218 + 23.6094i −1.42638 + 1.12172i −0.453271 + 0.891373i \(0.649743\pi\)
−0.973109 + 0.230345i \(0.926014\pi\)
\(444\) 7.42994 + 14.8389i 0.352609 + 0.704221i
\(445\) −0.250014 5.24844i −0.0118518 0.248800i
\(446\) 11.4326 + 1.09168i 0.541348 + 0.0516924i
\(447\) −9.84242 5.83824i −0.465531 0.276139i
\(448\) −3.93754 0.758898i −0.186031 0.0358546i
\(449\) 6.92357 7.99023i 0.326743 0.377082i −0.568482 0.822696i \(-0.692469\pi\)
0.895225 + 0.445614i \(0.147015\pi\)
\(450\) −9.32279 + 8.47891i −0.439481 + 0.399700i
\(451\) 1.06051 + 2.32218i 0.0499373 + 0.109347i
\(452\) 4.40724 + 2.27209i 0.207299 + 0.106870i
\(453\) 33.8112 + 2.01022i 1.58859 + 0.0944485i
\(454\) −22.7783 9.11904i −1.06904 0.427978i
\(455\) −13.0279 18.2951i −0.610755 0.857685i
\(456\) 4.38794 + 2.06674i 0.205484 + 0.0967840i
\(457\) −0.977113 + 20.5121i −0.0457074 + 0.959517i 0.853256 + 0.521493i \(0.174625\pi\)
−0.898963 + 0.438024i \(0.855678\pi\)
\(458\) 6.75989 + 7.80133i 0.315869 + 0.364532i
\(459\) 25.6677 20.6990i 1.19807 0.966147i
\(460\) 3.83362 + 1.92074i 0.178744 + 0.0895549i
\(461\) 1.13784 + 1.97079i 0.0529943 + 0.0917888i 0.891306 0.453403i \(-0.149790\pi\)
−0.838311 + 0.545192i \(0.816457\pi\)
\(462\) −1.53598 + 0.679698i −0.0714602 + 0.0316224i
\(463\) −6.66286 + 3.43494i −0.309649 + 0.159635i −0.606046 0.795430i \(-0.707245\pi\)
0.296397 + 0.955065i \(0.404215\pi\)
\(464\) 4.89713 + 3.85115i 0.227344 + 0.178785i
\(465\) 0.0662049 0.322975i 0.00307018 0.0149776i
\(466\) −1.84123 + 1.44796i −0.0852933 + 0.0670754i
\(467\) −33.3757 9.79998i −1.54444 0.453489i −0.605008 0.796220i \(-0.706830\pi\)
−0.939434 + 0.342731i \(0.888648\pi\)
\(468\) −9.01042 16.4923i −0.416507 0.762357i
\(469\) −24.2185 53.0311i −1.11831 2.44875i
\(470\) −0.805068 0.767631i −0.0371350 0.0354082i
\(471\) −6.31219 + 0.226170i −0.290850 + 0.0104214i
\(472\) −0.883237 2.55195i −0.0406543 0.117463i
\(473\) 0.0434113 0.178944i 0.00199605 0.00822784i
\(474\) −7.40541 + 17.8841i −0.340142 + 0.821443i
\(475\) −10.4554 5.39015i −0.479728 0.247317i
\(476\) −24.4160 7.16919i −1.11911 0.328600i
\(477\) 14.0992 29.0415i 0.645559 1.32972i
\(478\) −4.41508 + 9.66767i −0.201941 + 0.442189i
\(479\) −10.0775 + 4.03443i −0.460454 + 0.184338i −0.590280 0.807199i \(-0.700983\pi\)
0.129826 + 0.991537i \(0.458558\pi\)
\(480\) −1.45736 0.523708i −0.0665190 0.0239039i
\(481\) 58.9355 11.3589i 2.68723 0.517920i
\(482\) −3.53126 + 6.11633i −0.160845 + 0.278591i
\(483\) −28.8511 + 16.6475i −1.31277 + 0.757488i
\(484\) 5.47076 + 9.47563i 0.248671 + 0.430711i
\(485\) −5.68687 6.56300i −0.258228 0.298010i
\(486\) 0.565381 + 15.5782i 0.0256462 + 0.706642i
\(487\) 2.10869 14.6663i 0.0955539 0.664592i −0.884600 0.466351i \(-0.845568\pi\)
0.980153 0.198240i \(-0.0635227\pi\)
\(488\) 3.59145 0.342941i 0.162577 0.0155242i
\(489\) 23.7662 + 3.70343i 1.07475 + 0.167475i
\(490\) 5.87556 5.60233i 0.265431 0.253088i
\(491\) 0.726853 + 15.2585i 0.0328024 + 0.688608i 0.954053 + 0.299638i \(0.0968659\pi\)
−0.921251 + 0.388970i \(0.872831\pi\)
\(492\) −11.1324 14.5046i −0.501889 0.653919i
\(493\) 28.6126 + 27.2821i 1.28865 + 1.22872i
\(494\) 11.4878 13.2576i 0.516859 0.596488i
\(495\) −0.626513 + 0.168029i −0.0281597 + 0.00755233i
\(496\) −0.204272 + 0.0599797i −0.00917208 + 0.00269317i
\(497\) 9.23675 12.9712i 0.414325 0.581838i
\(498\) 9.57885 + 2.44368i 0.429239 + 0.109504i
\(499\) 11.1170 10.6001i 0.497666 0.474524i −0.399176 0.916874i \(-0.630704\pi\)
0.896842 + 0.442350i \(0.145855\pi\)
\(500\) 7.63687 + 3.05734i 0.341531 + 0.136729i
\(501\) 26.7040 8.89139i 1.19305 0.397238i
\(502\) −2.83813 + 1.13622i −0.126672 + 0.0507118i
\(503\) 3.98400 + 2.56036i 0.177638 + 0.114161i 0.626438 0.779471i \(-0.284512\pi\)
−0.448800 + 0.893632i \(0.648149\pi\)
\(504\) 9.62885 7.21154i 0.428903 0.321227i
\(505\) 7.19346 0.320105
\(506\) −0.683591 0.936912i −0.0303893 0.0416508i
\(507\) −44.2955 + 10.1948i −1.96723 + 0.452767i
\(508\) 14.5646 2.80710i 0.646200 0.124545i
\(509\) −13.1686 + 6.78888i −0.583688 + 0.300912i −0.724665 0.689101i \(-0.758006\pi\)
0.140978 + 0.990013i \(0.454975\pi\)
\(510\) −8.89037 4.18741i −0.393672 0.185422i
\(511\) 60.6206 5.78857i 2.68170 0.256071i
\(512\) 0.142315 + 0.989821i 0.00628949 + 0.0437443i
\(513\) −13.4414 + 5.57305i −0.593450 + 0.246056i
\(514\) 18.2657 11.7386i 0.805665 0.517769i
\(515\) 0.374545 0.525975i 0.0165044 0.0231772i
\(516\) −0.0155412 + 1.31872i −0.000684161 + 0.0580532i
\(517\) 0.0984071 + 0.284329i 0.00432794 + 0.0125048i
\(518\) 12.5661 + 36.3074i 0.552123 + 1.59525i
\(519\) −22.0631 + 12.3938i −0.968464 + 0.544028i
\(520\) −3.24884 + 4.56236i −0.142471 + 0.200073i
\(521\) 9.70998 6.24023i 0.425402 0.273389i −0.310374 0.950615i \(-0.600454\pi\)
0.735776 + 0.677225i \(0.236818\pi\)
\(522\) −18.4306 + 3.10363i −0.806685 + 0.135842i
\(523\) −0.914558 6.36089i −0.0399908 0.278142i 0.960007 0.279974i \(-0.0903260\pi\)
−0.999998 + 0.00183192i \(0.999417\pi\)
\(524\) −9.13920 + 0.872688i −0.399248 + 0.0381235i
\(525\) −23.9634 + 16.6422i −1.04585 + 0.726325i
\(526\) 6.58707 3.39587i 0.287210 0.148067i
\(527\) −1.32659 + 0.255679i −0.0577870 + 0.0111375i
\(528\) 0.285458 + 0.306532i 0.0124229 + 0.0133401i
\(529\) −15.4587 17.0303i −0.672116 0.740446i
\(530\) −9.62128 −0.417922
\(531\) 7.44804 + 3.18740i 0.323217 + 0.138321i
\(532\) 9.44669 + 6.07102i 0.409566 + 0.263212i
\(533\) −61.3927 + 24.5779i −2.65921 + 1.06459i
\(534\) 2.04404 9.97164i 0.0884541 0.431515i
\(535\) 8.74147 + 3.49956i 0.377927 + 0.151299i
\(536\) −10.5220 + 10.0327i −0.454482 + 0.433348i
\(537\) 7.65370 + 27.2500i 0.330282 + 1.17593i
\(538\) −12.4092 + 17.4263i −0.535000 + 0.751302i
\(539\) −2.10691 + 0.618645i −0.0907512 + 0.0266469i
\(540\) 4.10297 2.17924i 0.176564 0.0937794i
\(541\) 2.05074 2.36668i 0.0881682 0.101751i −0.709951 0.704251i \(-0.751283\pi\)
0.798119 + 0.602499i \(0.205828\pi\)
\(542\) 2.31738 + 2.20961i 0.0995399 + 0.0949111i
\(543\) −34.4353 + 4.53753i −1.47776 + 0.194724i
\(544\) 0.301947 + 6.33865i 0.0129459 + 0.271767i
\(545\) −1.75611 + 1.67445i −0.0752235 + 0.0717254i
\(546\) −15.6937 40.5806i −0.671630 1.73669i
\(547\) 1.08996 0.104078i 0.0466031 0.00445006i −0.0717284 0.997424i \(-0.522851\pi\)
0.118332 + 0.992974i \(0.462245\pi\)
\(548\) 1.14059 7.93301i 0.0487238 0.338881i
\(549\) −6.48419 + 8.66603i −0.276738 + 0.369857i
\(550\) −0.665235 0.767722i −0.0283657 0.0327358i
\(551\) −8.72304 15.1088i −0.371614 0.643654i
\(552\) 6.27635 + 5.44127i 0.267139 + 0.231596i
\(553\) −22.4070 + 38.8101i −0.952844 + 1.65037i
\(554\) 19.7876 3.81375i 0.840695 0.162031i
\(555\) 2.63611 + 14.6013i 0.111897 + 0.619792i
\(556\) −2.27089 + 0.909128i −0.0963073 + 0.0385556i
\(557\) 15.5132 33.9692i 0.657317 1.43932i −0.227685 0.973735i \(-0.573116\pi\)
0.885002 0.465588i \(-0.154157\pi\)
\(558\) 0.278938 0.574556i 0.0118084 0.0243229i
\(559\) 4.57658 + 1.34381i 0.193569 + 0.0568370i
\(560\) −3.18672 1.64287i −0.134664 0.0694240i
\(561\) 1.61836 + 2.10858i 0.0683272 + 0.0890245i
\(562\) 2.60535 10.7394i 0.109900 0.453014i
\(563\) −2.54942 7.36608i −0.107445 0.310443i 0.878443 0.477847i \(-0.158583\pi\)
−0.985888 + 0.167404i \(0.946462\pi\)
\(564\) −1.14361 1.82646i −0.0481545 0.0769077i
\(565\) 3.20851 + 3.05931i 0.134983 + 0.128706i
\(566\) 10.1530 + 22.2320i 0.426763 + 0.934481i
\(567\) −3.41398 + 35.9282i −0.143374 + 1.50884i
\(568\) −3.81018 1.11877i −0.159872 0.0469426i
\(569\) −21.3056 + 16.7549i −0.893179 + 0.702404i −0.955292 0.295665i \(-0.904459\pi\)
0.0621125 + 0.998069i \(0.480216\pi\)
\(570\) 3.24368 + 2.87828i 0.135863 + 0.120558i
\(571\) 1.43868 + 1.13139i 0.0602068 + 0.0473472i 0.647809 0.761803i \(-0.275686\pi\)
−0.587602 + 0.809150i \(0.699928\pi\)
\(572\) 1.34652 0.694181i 0.0563010 0.0290252i
\(573\) −5.28751 3.85992i −0.220889 0.161251i
\(574\) −21.1657 36.6600i −0.883438 1.53016i
\(575\) −14.7393 13.7329i −0.614670 0.572701i
\(576\) −2.48484 1.68095i −0.103535 0.0700395i
\(577\) 4.05491 + 4.67962i 0.168808 + 0.194815i 0.833850 0.551991i \(-0.186132\pi\)
−0.665042 + 0.746806i \(0.731586\pi\)
\(578\) −1.10721 + 23.2433i −0.0460540 + 0.966793i
\(579\) 10.2432 7.11376i 0.425695 0.295638i
\(580\) 3.23102 + 4.53733i 0.134161 + 0.188402i
\(581\) 21.2476 + 8.50624i 0.881497 + 0.352898i
\(582\) −7.53205 15.0428i −0.312214 0.623544i
\(583\) 2.31307 + 1.19247i 0.0957976 + 0.0493871i
\(584\) −6.30854 13.8138i −0.261049 0.571618i
\(585\) −3.57546 16.4179i −0.147827 0.678795i
\(586\) −4.54729 + 5.24785i −0.187847 + 0.216787i
\(587\) −9.54008 1.83870i −0.393761 0.0758912i −0.0114724 0.999934i \(-0.503652\pi\)
−0.382289 + 0.924043i \(0.624864\pi\)
\(588\) 13.7119 7.70256i 0.565469 0.317648i
\(589\) 0.593477 + 0.0566702i 0.0244538 + 0.00233506i
\(590\) −0.114884 2.41171i −0.00472970 0.0992887i
\(591\) 5.81795 8.82256i 0.239319 0.362912i
\(592\) 7.53130 5.92268i 0.309534 0.243421i
\(593\) −12.0998 + 26.4949i −0.496880 + 1.08802i 0.480591 + 0.876945i \(0.340422\pi\)
−0.977471 + 0.211071i \(0.932305\pi\)
\(594\) −1.25650 + 0.0153883i −0.0515549 + 0.000631389i
\(595\) −19.1399 12.3004i −0.784658 0.504269i
\(596\) −2.16095 + 6.24364i −0.0885158 + 0.255750i
\(597\) 4.59416 14.9905i 0.188026 0.613519i
\(598\) 25.0848 16.5328i 1.02579 0.676078i
\(599\) 10.1093 17.5098i 0.413054 0.715430i −0.582168 0.813068i \(-0.697796\pi\)
0.995222 + 0.0976384i \(0.0311289\pi\)
\(600\) 5.87644 + 4.28985i 0.239905 + 0.175133i
\(601\) 1.67711 35.2069i 0.0684109 1.43612i −0.660147 0.751137i \(-0.729506\pi\)
0.728558 0.684985i \(-0.240191\pi\)
\(602\) −0.434526 + 3.02219i −0.0177099 + 0.123175i
\(603\) −1.04802 43.6030i −0.0426786 1.77565i
\(604\) −2.78302 19.3563i −0.113240 0.787599i
\(605\) 2.30635 + 9.50689i 0.0937663 + 0.386510i
\(606\) 13.5029 + 3.44476i 0.548520 + 0.139934i
\(607\) 36.3069 + 3.46688i 1.47365 + 0.140716i 0.800742 0.599010i \(-0.204439\pi\)
0.672908 + 0.739726i \(0.265045\pi\)
\(608\) 0.660201 2.72139i 0.0267747 0.110367i
\(609\) −43.2431 + 1.54943i −1.75230 + 0.0627860i
\(610\) 3.16737 + 0.610461i 0.128243 + 0.0247168i
\(611\) −7.47818 + 2.19579i −0.302535 + 0.0888322i
\(612\) −14.6830 12.1176i −0.593525 0.489825i
\(613\) 0.689914 0.443381i 0.0278654 0.0179080i −0.526634 0.850092i \(-0.676546\pi\)
0.554499 + 0.832184i \(0.312910\pi\)
\(614\) −5.57496 22.9803i −0.224987 0.927410i
\(615\) −5.89656 15.2472i −0.237772 0.614828i
\(616\) 0.562508 + 0.789932i 0.0226641 + 0.0318273i
\(617\) 7.64249 + 6.01012i 0.307675 + 0.241958i 0.760043 0.649873i \(-0.225178\pi\)
−0.452367 + 0.891832i \(0.649420\pi\)
\(618\) 0.954939 0.807954i 0.0384133 0.0325007i
\(619\) −3.37287 + 9.74526i −0.135567 + 0.391695i −0.992267 0.124119i \(-0.960389\pi\)
0.856700 + 0.515814i \(0.172511\pi\)
\(620\) −0.190347 −0.00764451
\(621\) −24.7437 + 2.95793i −0.992930 + 0.118698i
\(622\) −30.0927 −1.20661
\(623\) 7.70773 22.2700i 0.308804 0.892229i
\(624\) −8.28323 + 7.00827i −0.331595 + 0.280556i
\(625\) −10.7282 8.43676i −0.429129 0.337471i
\(626\) 0.155225 + 0.217983i 0.00620403 + 0.00871234i
\(627\) −0.423082 1.09400i −0.0168963 0.0436900i
\(628\) 0.859739 + 3.54389i 0.0343073 + 0.141417i
\(629\) 51.1486 32.8712i 2.03943 1.31066i
\(630\) 10.0768 3.76111i 0.401470 0.149846i
\(631\) 5.83241 1.71255i 0.232185 0.0681756i −0.163570 0.986532i \(-0.552301\pi\)
0.395755 + 0.918356i \(0.370483\pi\)
\(632\) 10.9736 + 2.11499i 0.436507 + 0.0841299i
\(633\) −8.51978 + 0.305270i −0.338631 + 0.0121334i
\(634\) 0.796488 3.28317i 0.0316326 0.130391i
\(635\) 13.2016 + 1.26060i 0.523889 + 0.0500254i
\(636\) −18.0602 4.60738i −0.716134 0.182694i
\(637\) −13.4103 55.2780i −0.531335 2.19019i
\(638\) −0.214414 1.49128i −0.00848874 0.0590405i
\(639\) 10.1710 6.20274i 0.402357 0.245377i
\(640\) −0.127242 + 0.884984i −0.00502966 + 0.0349821i
\(641\) −1.97651 + 41.4920i −0.0780673 + 1.63883i 0.532185 + 0.846628i \(0.321371\pi\)
−0.610253 + 0.792207i \(0.708932\pi\)
\(642\) 14.7329 + 10.7551i 0.581461 + 0.424471i
\(643\) 17.8129 30.8528i 0.702471 1.21672i −0.265125 0.964214i \(-0.585413\pi\)
0.967596 0.252502i \(-0.0812535\pi\)
\(644\) 12.7606 + 14.3878i 0.502838 + 0.566960i
\(645\) −0.345507 + 1.12737i −0.0136043 + 0.0443901i
\(646\) 5.81212 16.7930i 0.228675 0.660713i
\(647\) −42.6466 27.4073i −1.67661 1.07749i −0.883528 0.468378i \(-0.844839\pi\)
−0.793082 0.609115i \(-0.791525\pi\)
\(648\) 8.74532 2.12587i 0.343549 0.0835120i
\(649\) −0.271291 + 0.594044i −0.0106491 + 0.0233183i
\(650\) 20.6844 16.2664i 0.811310 0.638021i
\(651\) 0.814034 1.23443i 0.0319045 0.0483812i
\(652\) −0.660772 13.8713i −0.0258778 0.543242i
\(653\) 21.9597 + 2.09690i 0.859351 + 0.0820580i 0.515421 0.856937i \(-0.327636\pi\)
0.343930 + 0.938995i \(0.388242\pi\)
\(654\) −4.09827 + 2.30217i −0.160255 + 0.0900221i
\(655\) −8.06005 1.55345i −0.314932 0.0606982i
\(656\) −6.91300 + 7.97803i −0.269907 + 0.311490i
\(657\) 43.3983 + 13.8619i 1.69313 + 0.540803i
\(658\) −2.07253 4.53822i −0.0807958 0.176918i
\(659\) −30.6659 15.8094i −1.19458 0.615846i −0.257943 0.966160i \(-0.583045\pi\)
−0.936632 + 0.350314i \(0.886075\pi\)
\(660\) 0.167672 + 0.334869i 0.00652661 + 0.0130347i
\(661\) −28.4820 11.4025i −1.10782 0.443505i −0.255651 0.966769i \(-0.582290\pi\)
−0.852170 + 0.523264i \(0.824714\pi\)
\(662\) 3.60630 + 5.06434i 0.140163 + 0.196831i
\(663\) −56.5535 + 39.2755i −2.19635 + 1.52533i
\(664\) 0.271573 5.70101i 0.0105391 0.221242i
\(665\) 6.57476 + 7.58768i 0.254958 + 0.294238i
\(666\) −2.04392 + 28.6707i −0.0792001 + 1.11097i
\(667\) −7.37841 28.9528i −0.285693 1.12106i
\(668\) −8.12487 14.0727i −0.314361 0.544489i
\(669\) 16.0663 + 11.7286i 0.621160 + 0.453452i
\(670\) −11.5537 + 5.95634i −0.446358 + 0.230113i
\(671\) −0.685813 0.539329i −0.0264755 0.0208206i
\(672\) −5.19512 4.60989i −0.200406 0.177830i
\(673\) 32.5404 25.5900i 1.25434 0.986424i 0.254527 0.967066i \(-0.418080\pi\)
0.999813 0.0193582i \(-0.00616228\pi\)
\(674\) 26.3040 + 7.72354i 1.01319 + 0.297500i
\(675\) −21.3804 + 4.39295i −0.822932 + 0.169085i
\(676\) 10.9016 + 23.8711i 0.419291 + 0.918120i
\(677\) −11.9138 11.3598i −0.457884 0.436591i 0.425700 0.904864i \(-0.360028\pi\)
−0.883584 + 0.468273i \(0.844876\pi\)
\(678\) 4.55771 + 7.27914i 0.175038 + 0.279554i
\(679\) −12.7388 36.8063i −0.488870 1.41250i
\(680\) −1.33763 + 5.51378i −0.0512957 + 0.211444i
\(681\) −25.8746 33.7124i −0.991517 1.29186i
\(682\) 0.0457617 + 0.0235918i 0.00175230 + 0.000903376i
\(683\) −10.2175 3.00012i −0.390960 0.114796i 0.0803434 0.996767i \(-0.474398\pi\)
−0.471304 + 0.881971i \(0.656216\pi\)
\(684\) 4.71041 + 6.95617i 0.180107 + 0.265976i
\(685\) 2.97675 6.51817i 0.113736 0.249046i
\(686\) 7.74376 3.10013i 0.295658 0.118364i
\(687\) 3.17657 + 17.5949i 0.121194 + 0.671287i
\(688\) 0.747654 0.144098i 0.0285040 0.00549370i
\(689\) −33.7057 + 58.3799i −1.28408 + 2.22410i
\(690\) 4.01367 + 6.24886i 0.152798 + 0.237890i
\(691\) −19.2968 33.4230i −0.734083 1.27147i −0.955124 0.296205i \(-0.904279\pi\)
0.221041 0.975264i \(-0.429054\pi\)
\(692\) 9.56775 + 11.0418i 0.363711 + 0.419745i
\(693\) −2.88874 0.344715i −0.109734 0.0130946i
\(694\) 0.606230 4.21642i 0.0230122 0.160053i
\(695\) −2.17713 + 0.207891i −0.0825832 + 0.00788574i
\(696\) 3.89218 + 10.0643i 0.147533 + 0.381487i
\(697\) −48.4825 + 46.2280i −1.83641 + 1.75101i
\(698\) −0.281819 5.91610i −0.0106670 0.223928i
\(699\) −4.02234 + 0.530023i −0.152139 + 0.0200473i
\(700\) 12.1909 + 11.6240i 0.460773 + 0.439346i
\(701\) 7.73732 8.92935i 0.292235 0.337257i −0.590579 0.806980i \(-0.701101\pi\)
0.882814 + 0.469723i \(0.155646\pi\)
\(702\) 1.15054 32.5304i 0.0434245 1.22778i
\(703\) −25.7435 + 7.55898i −0.970935 + 0.285092i
\(704\) 0.140276 0.196990i 0.00528686 0.00742435i
\(705\) −0.520992 1.85492i −0.0196217 0.0698605i
\(706\) −5.50537 + 5.24936i −0.207198 + 0.197562i
\(707\) 29.9519 + 11.9909i 1.12646 + 0.450965i
\(708\) 0.939256 4.58208i 0.0352994 0.172205i
\(709\) 30.7467 12.3091i 1.15471 0.462278i 0.286312 0.958137i \(-0.407571\pi\)
0.868403 + 0.495858i \(0.165147\pi\)
\(710\) −2.98682 1.91951i −0.112093 0.0720381i
\(711\) −26.8349 + 20.0980i −1.00639 + 0.753735i
\(712\) −5.87684 −0.220244
\(713\) 0.952188 + 0.368516i 0.0356597 + 0.0138010i
\(714\) −30.0373 32.2549i −1.12412 1.20711i
\(715\) 1.33000 0.256336i 0.0497391 0.00958643i
\(716\) 14.5250 7.48815i 0.542825 0.279845i
\(717\) −15.1199 + 10.5005i −0.564661 + 0.392148i
\(718\) −11.1842 + 1.06796i −0.417389 + 0.0398559i
\(719\) 4.05269 + 28.1871i 0.151140 + 1.05120i 0.914313 + 0.405008i \(0.132731\pi\)
−0.763173 + 0.646194i \(0.776360\pi\)
\(720\) −1.70824 2.06794i −0.0636624 0.0770677i
\(721\) 2.43627 1.56570i 0.0907316 0.0583096i
\(722\) 6.47239 9.08920i 0.240877 0.338265i
\(723\) −10.6651 + 5.99106i −0.396641 + 0.222810i
\(724\) 6.55871 + 18.9502i 0.243753 + 0.704277i
\(725\) −8.55934 24.7306i −0.317886 0.918471i
\(726\) −0.223326 + 18.9499i −0.00828842 + 0.703299i
\(727\) −24.9928 + 35.0975i −0.926933 + 1.30170i 0.0263607 + 0.999652i \(0.491608\pi\)
−0.953294 + 0.302043i \(0.902331\pi\)
\(728\) −21.1325 + 13.5810i −0.783222 + 0.503346i
\(729\) −12.9233 + 23.7063i −0.478641 + 0.878011i
\(730\) −1.93230 13.4395i −0.0715178 0.497417i
\(731\) 4.80993 0.459292i 0.177902 0.0169875i
\(732\) 5.65318 + 2.66267i 0.208948 + 0.0984153i
\(733\) 7.73121 3.98572i 0.285559 0.147216i −0.309496 0.950901i \(-0.600160\pi\)
0.595055 + 0.803685i \(0.297130\pi\)
\(734\) −20.8657 + 4.02153i −0.770167 + 0.148437i
\(735\) 13.7032 3.15385i 0.505451 0.116332i
\(736\) 2.34986 4.18069i 0.0866170 0.154102i
\(737\) 3.51588 0.129509
\(738\) −3.76701 31.4445i −0.138666 1.15749i
\(739\) −10.4164 6.69419i −0.383172 0.246250i 0.334848 0.942272i \(-0.391315\pi\)
−0.718020 + 0.696022i \(0.754951\pi\)
\(740\) 7.95274 3.18380i 0.292348 0.117039i
\(741\) 28.8282 9.59864i 1.05903 0.352615i
\(742\) −40.0607 16.0379i −1.47068 0.588770i
\(743\) 13.6433 13.0089i 0.500524 0.477249i −0.397246 0.917712i \(-0.630034\pi\)
0.897771 + 0.440463i \(0.145186\pi\)
\(744\) −0.357303 0.0911521i −0.0130993 0.00334180i
\(745\) −3.42653 + 4.81189i −0.125539 + 0.176294i
\(746\) −9.56726 + 2.80920i −0.350282 + 0.102852i
\(747\) 12.1102 + 12.1046i 0.443089 + 0.442884i
\(748\) 1.00497 1.15979i 0.0367452 0.0424062i
\(749\) 30.5639 + 29.1427i 1.11678 + 1.06485i
\(750\) 8.67498 + 11.3028i 0.316765 + 0.412718i
\(751\) −1.87205 39.2992i −0.0683121 1.43405i −0.729578 0.683897i \(-0.760284\pi\)
0.661266 0.750151i \(-0.270019\pi\)
\(752\) −0.900438 + 0.858566i −0.0328356 + 0.0313087i
\(753\) −5.23194 0.815280i −0.190663 0.0297105i
\(754\) 38.8506 3.70978i 1.41486 0.135102i
\(755\) 2.48826 17.3062i 0.0905570 0.629838i
\(756\) 20.7164 2.23450i 0.753449 0.0812681i
\(757\) 28.8372 + 33.2799i 1.04811 + 1.20958i 0.977250 + 0.212092i \(0.0680278\pi\)
0.0708564 + 0.997487i \(0.477427\pi\)
\(758\) −0.241175 0.417728i −0.00875988 0.0151726i
\(759\) −0.190445 1.99976i −0.00691270 0.0725866i
\(760\) 1.25186 2.16829i 0.0454098 0.0786521i
\(761\) 39.2654 7.56779i 1.42337 0.274332i 0.581296 0.813692i \(-0.302546\pi\)
0.842075 + 0.539360i \(0.181334\pi\)
\(762\) 24.1772 + 8.68819i 0.875848 + 0.314740i
\(763\) −10.1032 + 4.04471i −0.365760 + 0.146428i
\(764\) −1.57011 + 3.43807i −0.0568047 + 0.124385i
\(765\) −9.54373 14.0938i −0.345054 0.509564i
\(766\) 24.3771 + 7.15777i 0.880781 + 0.258621i
\(767\) −15.0363 7.75173i −0.542928 0.279899i
\(768\) −0.662642 + 1.60028i −0.0239110 + 0.0577452i
\(769\) −5.42258 + 22.3522i −0.195543 + 0.806040i 0.786532 + 0.617550i \(0.211875\pi\)
−0.982075 + 0.188490i \(0.939641\pi\)
\(770\) 0.283579 + 0.819349i 0.0102195 + 0.0295273i