Properties

Label 171.2.x.a.110.6
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.6
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.907216 + 0.761244i) q^{2} +(0.509726 - 1.65535i) q^{3} +(-0.103749 + 0.588390i) q^{4} +(-1.20969 + 3.32360i) q^{5} +(0.797694 + 1.88978i) q^{6} +(0.600840 + 1.04068i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(-2.48036 - 1.68755i) q^{9} +O(q^{10})\) \(q+(-0.907216 + 0.761244i) q^{2} +(0.509726 - 1.65535i) q^{3} +(-0.103749 + 0.588390i) q^{4} +(-1.20969 + 3.32360i) q^{5} +(0.797694 + 1.88978i) q^{6} +(0.600840 + 1.04068i) q^{7} +(-1.53807 - 2.66402i) q^{8} +(-2.48036 - 1.68755i) q^{9} +(-1.43262 - 3.93610i) q^{10} +3.37386i q^{11} +(0.921107 + 0.471658i) q^{12} +(1.06414 + 2.92371i) q^{13} +(-1.33731 - 0.486740i) q^{14} +(4.88511 + 3.69659i) q^{15} +(2.30046 + 0.837300i) q^{16} +(-1.91063 + 5.24942i) q^{17} +(3.53486 - 0.357190i) q^{18} +(3.51512 - 2.57759i) q^{19} +(-1.83007 - 1.05659i) q^{20} +(2.02896 - 0.464135i) q^{21} +(-2.56833 - 3.06082i) q^{22} +(2.71688 + 0.479060i) q^{23} +(-5.19387 + 1.18813i) q^{24} +(-5.75276 - 4.82714i) q^{25} +(-3.19107 - 1.84236i) q^{26} +(-4.05778 + 3.24567i) q^{27} +(-0.674665 + 0.245558i) q^{28} +(1.75252 - 9.93902i) q^{29} +(-7.24586 + 0.365160i) q^{30} -0.427425i q^{31} +(3.05685 - 1.11260i) q^{32} +(5.58491 + 1.71974i) q^{33} +(-2.26273 - 6.21681i) q^{34} +(-4.18565 + 0.738044i) q^{35} +(1.25027 - 1.28434i) q^{36} -0.0841209i q^{37} +(-1.22679 + 5.01429i) q^{38} +(5.38219 - 0.271239i) q^{39} +(10.7147 - 1.88930i) q^{40} +(-1.55749 + 1.30689i) q^{41} +(-1.48738 + 1.96561i) q^{42} +(-0.0600559 - 0.340594i) q^{43} +(-1.98514 - 0.350034i) q^{44} +(8.60921 - 6.20232i) q^{45} +(-2.82948 + 1.63360i) q^{46} +(7.15417 + 1.26147i) q^{47} +(2.55863 - 3.38127i) q^{48} +(2.77798 - 4.81161i) q^{49} +8.89363 q^{50} +(7.71572 + 5.83852i) q^{51} +(-1.83069 + 0.322799i) q^{52} +(-4.91060 - 4.12048i) q^{53} +(1.21053 - 6.03349i) q^{54} +(-11.2134 - 4.08133i) q^{55} +(1.84827 - 3.20130i) q^{56} +(-2.47506 - 7.13261i) q^{57} +(5.97611 + 10.3509i) q^{58} +(0.479154 + 2.71742i) q^{59} +(-2.68186 + 2.49083i) q^{60} +(4.68956 - 1.70686i) q^{61} +(0.325375 + 0.387767i) q^{62} +(0.265907 - 3.59522i) q^{63} +(-4.37436 + 7.57662i) q^{64} -11.0045 q^{65} +(-6.37587 + 2.69131i) q^{66} +(-4.40746 + 5.25261i) q^{67} +(-2.89048 - 1.66882i) q^{68} +(2.17788 - 4.25320i) q^{69} +(3.23546 - 3.85587i) q^{70} +(10.6625 - 8.94693i) q^{71} +(-0.680687 + 9.20329i) q^{72} +(2.30724 + 13.0850i) q^{73} +(0.0640366 + 0.0763159i) q^{74} +(-10.9229 + 7.06231i) q^{75} +(1.15194 + 2.33568i) q^{76} +(-3.51112 + 2.02715i) q^{77} +(-4.67633 + 4.34323i) q^{78} +(-5.23326 + 14.3783i) q^{79} +(-5.56570 + 6.63295i) q^{80} +(3.30437 + 8.37145i) q^{81} +(0.418116 - 2.37126i) q^{82} +(9.41085 - 5.43336i) q^{83} +(0.0625900 + 1.24197i) q^{84} +(-15.1357 - 12.7004i) q^{85} +(0.313759 + 0.263275i) q^{86} +(-15.5592 - 7.96720i) q^{87} +(8.98802 - 5.18924i) q^{88} +(-0.172118 + 0.976130i) q^{89} +(-3.08893 + 12.1806i) q^{90} +(-2.40328 + 2.86412i) q^{91} +(-0.563748 + 1.54888i) q^{92} +(-0.707538 - 0.217870i) q^{93} +(-7.45066 + 4.30164i) q^{94} +(4.31467 + 14.8009i) q^{95} +(-0.283590 - 5.62728i) q^{96} +(-2.27491 - 2.71113i) q^{97} +(1.14258 + 6.47989i) q^{98} +(5.69355 - 8.36838i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.907216 + 0.761244i −0.641498 + 0.538281i −0.904478 0.426520i \(-0.859739\pi\)
0.262980 + 0.964801i \(0.415295\pi\)
\(3\) 0.509726 1.65535i 0.294290 0.955716i
\(4\) −0.103749 + 0.588390i −0.0518745 + 0.294195i
\(5\) −1.20969 + 3.32360i −0.540991 + 1.48636i 0.304574 + 0.952489i \(0.401486\pi\)
−0.845565 + 0.533872i \(0.820736\pi\)
\(6\) 0.797694 + 1.88978i 0.325657 + 0.771501i
\(7\) 0.600840 + 1.04068i 0.227096 + 0.393342i 0.956946 0.290265i \(-0.0937435\pi\)
−0.729850 + 0.683607i \(0.760410\pi\)
\(8\) −1.53807 2.66402i −0.543790 0.941873i
\(9\) −2.48036 1.68755i −0.826786 0.562516i
\(10\) −1.43262 3.93610i −0.453035 1.24470i
\(11\) 3.37386i 1.01726i 0.860986 + 0.508628i \(0.169847\pi\)
−0.860986 + 0.508628i \(0.830153\pi\)
\(12\) 0.921107 + 0.471658i 0.265901 + 0.136156i
\(13\) 1.06414 + 2.92371i 0.295141 + 0.810892i 0.995294 + 0.0968998i \(0.0308926\pi\)
−0.700154 + 0.713992i \(0.746885\pi\)
\(14\) −1.33731 0.486740i −0.357410 0.130087i
\(15\) 4.88511 + 3.69659i 1.26133 + 0.954455i
\(16\) 2.30046 + 0.837300i 0.575116 + 0.209325i
\(17\) −1.91063 + 5.24942i −0.463396 + 1.27317i 0.459519 + 0.888168i \(0.348022\pi\)
−0.922916 + 0.385003i \(0.874201\pi\)
\(18\) 3.53486 0.357190i 0.833174 0.0841905i
\(19\) 3.51512 2.57759i 0.806423 0.591339i
\(20\) −1.83007 1.05659i −0.409216 0.236261i
\(21\) 2.02896 0.464135i 0.442755 0.101283i
\(22\) −2.56833 3.06082i −0.547570 0.652569i
\(23\) 2.71688 + 0.479060i 0.566509 + 0.0998909i 0.449565 0.893248i \(-0.351579\pi\)
0.116944 + 0.993138i \(0.462690\pi\)
\(24\) −5.19387 + 1.18813i −1.06020 + 0.242525i
\(25\) −5.75276 4.82714i −1.15055 0.965428i
\(26\) −3.19107 1.84236i −0.625820 0.361317i
\(27\) −4.05778 + 3.24567i −0.780921 + 0.624630i
\(28\) −0.674665 + 0.245558i −0.127500 + 0.0464061i
\(29\) 1.75252 9.93902i 0.325434 1.84563i −0.181170 0.983452i \(-0.557988\pi\)
0.506604 0.862179i \(-0.330900\pi\)
\(30\) −7.24586 + 0.365160i −1.32291 + 0.0666687i
\(31\) 0.427425i 0.0767678i −0.999263 0.0383839i \(-0.987779\pi\)
0.999263 0.0383839i \(-0.0122210\pi\)
\(32\) 3.05685 1.11260i 0.540380 0.196682i
\(33\) 5.58491 + 1.71974i 0.972209 + 0.299369i
\(34\) −2.26273 6.21681i −0.388056 1.06617i
\(35\) −4.18565 + 0.738044i −0.707505 + 0.124752i
\(36\) 1.25027 1.28434i 0.208378 0.214056i
\(37\) 0.0841209i 0.0138294i −0.999976 0.00691470i \(-0.997799\pi\)
0.999976 0.00691470i \(-0.00220103\pi\)
\(38\) −1.22679 + 5.01429i −0.199012 + 0.813425i
\(39\) 5.38219 0.271239i 0.861840 0.0434330i
\(40\) 10.7147 1.88930i 1.69415 0.298724i
\(41\) −1.55749 + 1.30689i −0.243238 + 0.204101i −0.756254 0.654278i \(-0.772973\pi\)
0.513016 + 0.858379i \(0.328528\pi\)
\(42\) −1.48738 + 1.96561i −0.229508 + 0.303299i
\(43\) −0.0600559 0.340594i −0.00915844 0.0519401i 0.979886 0.199558i \(-0.0639506\pi\)
−0.989044 + 0.147618i \(0.952839\pi\)
\(44\) −1.98514 0.350034i −0.299272 0.0527697i
\(45\) 8.60921 6.20232i 1.28339 0.924587i
\(46\) −2.82948 + 1.63360i −0.417184 + 0.240861i
\(47\) 7.15417 + 1.26147i 1.04354 + 0.184005i 0.669044 0.743223i \(-0.266704\pi\)
0.374498 + 0.927228i \(0.377815\pi\)
\(48\) 2.55863 3.38127i 0.369306 0.488045i
\(49\) 2.77798 4.81161i 0.396855 0.687373i
\(50\) 8.89363 1.25775
\(51\) 7.71572 + 5.83852i 1.08042 + 0.817557i
\(52\) −1.83069 + 0.322799i −0.253870 + 0.0447642i
\(53\) −4.91060 4.12048i −0.674523 0.565992i 0.239878 0.970803i \(-0.422893\pi\)
−0.914400 + 0.404812i \(0.867337\pi\)
\(54\) 1.21053 6.03349i 0.164733 0.821054i
\(55\) −11.2134 4.08133i −1.51201 0.550327i
\(56\) 1.84827 3.20130i 0.246985 0.427791i
\(57\) −2.47506 7.13261i −0.327830 0.944737i
\(58\) 5.97611 + 10.3509i 0.784702 + 1.35914i
\(59\) 0.479154 + 2.71742i 0.0623805 + 0.353777i 0.999982 + 0.00606461i \(0.00193044\pi\)
−0.937601 + 0.347713i \(0.886958\pi\)
\(60\) −2.68186 + 2.49083i −0.346227 + 0.321565i
\(61\) 4.68956 1.70686i 0.600437 0.218541i −0.0238768 0.999715i \(-0.507601\pi\)
0.624314 + 0.781174i \(0.285379\pi\)
\(62\) 0.325375 + 0.387767i 0.0413227 + 0.0492464i
\(63\) 0.265907 3.59522i 0.0335011 0.452955i
\(64\) −4.37436 + 7.57662i −0.546795 + 0.947077i
\(65\) −11.0045 −1.36495
\(66\) −6.37587 + 2.69131i −0.784815 + 0.331277i
\(67\) −4.40746 + 5.25261i −0.538457 + 0.641708i −0.964841 0.262834i \(-0.915343\pi\)
0.426384 + 0.904542i \(0.359787\pi\)
\(68\) −2.89048 1.66882i −0.350522 0.202374i
\(69\) 2.17788 4.25320i 0.262186 0.512025i
\(70\) 3.23546 3.85587i 0.386711 0.460865i
\(71\) 10.6625 8.94693i 1.26541 1.06181i 0.270327 0.962769i \(-0.412868\pi\)
0.995084 0.0990373i \(-0.0315763\pi\)
\(72\) −0.680687 + 9.20329i −0.0802197 + 1.08462i
\(73\) 2.30724 + 13.0850i 0.270042 + 1.53148i 0.754283 + 0.656549i \(0.227985\pi\)
−0.484241 + 0.874934i \(0.660904\pi\)
\(74\) 0.0640366 + 0.0763159i 0.00744410 + 0.00887154i
\(75\) −10.9229 + 7.06231i −1.26127 + 0.815485i
\(76\) 1.15194 + 2.33568i 0.132136 + 0.267921i
\(77\) −3.51112 + 2.02715i −0.400130 + 0.231015i
\(78\) −4.67633 + 4.34323i −0.529490 + 0.491774i
\(79\) −5.23326 + 14.3783i −0.588788 + 1.61768i 0.183935 + 0.982938i \(0.441117\pi\)
−0.772723 + 0.634744i \(0.781106\pi\)
\(80\) −5.56570 + 6.63295i −0.622265 + 0.741586i
\(81\) 3.30437 + 8.37145i 0.367152 + 0.930161i
\(82\) 0.418116 2.37126i 0.0461732 0.261861i
\(83\) 9.41085 5.43336i 1.03298 0.596389i 0.115140 0.993349i \(-0.463268\pi\)
0.917836 + 0.396961i \(0.129935\pi\)
\(84\) 0.0625900 + 1.24197i 0.00682913 + 0.135510i
\(85\) −15.1357 12.7004i −1.64170 1.37755i
\(86\) 0.313759 + 0.263275i 0.0338335 + 0.0283897i
\(87\) −15.5592 7.96720i −1.66813 0.854174i
\(88\) 8.98802 5.18924i 0.958126 0.553174i
\(89\) −0.172118 + 0.976130i −0.0182445 + 0.103470i −0.992570 0.121674i \(-0.961174\pi\)
0.974326 + 0.225143i \(0.0722850\pi\)
\(90\) −3.08893 + 12.1806i −0.325602 + 1.28394i
\(91\) −2.40328 + 2.86412i −0.251933 + 0.300242i
\(92\) −0.563748 + 1.54888i −0.0587748 + 0.161482i
\(93\) −0.707538 0.217870i −0.0733682 0.0225920i
\(94\) −7.45066 + 4.30164i −0.768477 + 0.443680i
\(95\) 4.31467 + 14.8009i 0.442676 + 1.51854i
\(96\) −0.283590 5.62728i −0.0289438 0.574332i
\(97\) −2.27491 2.71113i −0.230982 0.275274i 0.638087 0.769964i \(-0.279726\pi\)
−0.869069 + 0.494690i \(0.835281\pi\)
\(98\) 1.14258 + 6.47989i 0.115418 + 0.654568i
\(99\) 5.69355 8.36838i 0.572223 0.841054i
\(100\) 3.43708 2.88405i 0.343708 0.288405i
\(101\) 12.3020 14.6609i 1.22409 1.45882i 0.377979 0.925814i \(-0.376619\pi\)
0.846114 0.533002i \(-0.178936\pi\)
\(102\) −11.4444 + 0.576746i −1.13316 + 0.0571064i
\(103\) −2.33357 1.34729i −0.229934 0.132752i 0.380608 0.924737i \(-0.375715\pi\)
−0.610542 + 0.791984i \(0.709048\pi\)
\(104\) 6.15209 7.33178i 0.603262 0.718940i
\(105\) −0.911816 + 7.30492i −0.0889841 + 0.712887i
\(106\) 7.59167 0.737368
\(107\) −4.21568 + 7.30177i −0.407545 + 0.705888i −0.994614 0.103648i \(-0.966948\pi\)
0.587069 + 0.809537i \(0.300282\pi\)
\(108\) −1.48873 2.72429i −0.143253 0.262145i
\(109\) 5.35264 + 6.37903i 0.512690 + 0.611000i 0.958836 0.283960i \(-0.0916483\pi\)
−0.446146 + 0.894960i \(0.647204\pi\)
\(110\) 13.2798 4.83346i 1.26618 0.460853i
\(111\) −0.139250 0.0428786i −0.0132170 0.00406986i
\(112\) 0.510844 + 2.89714i 0.0482702 + 0.273754i
\(113\) 3.10179 + 5.37245i 0.291791 + 0.505398i 0.974233 0.225542i \(-0.0724154\pi\)
−0.682442 + 0.730940i \(0.739082\pi\)
\(114\) 7.67507 + 4.58668i 0.718836 + 0.429582i
\(115\) −4.87880 + 8.45033i −0.454950 + 0.787997i
\(116\) 5.66620 + 2.06233i 0.526093 + 0.191482i
\(117\) 2.29444 9.04765i 0.212121 0.836456i
\(118\) −2.50331 2.10053i −0.230449 0.193369i
\(119\) −6.61097 + 1.16569i −0.606027 + 0.106859i
\(120\) 2.33413 18.6996i 0.213076 1.70704i
\(121\) −0.382923 −0.0348112
\(122\) −2.95511 + 5.11839i −0.267543 + 0.463398i
\(123\) 1.36946 + 3.24434i 0.123480 + 0.292532i
\(124\) 0.251492 + 0.0443449i 0.0225847 + 0.00398229i
\(125\) 7.68732 4.43828i 0.687575 0.396971i
\(126\) 2.49560 + 3.46406i 0.222326 + 0.308603i
\(127\) −4.02385 0.709513i −0.357059 0.0629591i −0.00775837 0.999970i \(-0.502470\pi\)
−0.349300 + 0.937011i \(0.613581\pi\)
\(128\) −0.669401 3.79636i −0.0591672 0.335554i
\(129\) −0.594414 0.0741961i −0.0523352 0.00653260i
\(130\) 9.98350 8.37715i 0.875611 0.734725i
\(131\) −13.7346 + 2.42178i −1.20000 + 0.211592i −0.737697 0.675132i \(-0.764087\pi\)
−0.462300 + 0.886724i \(0.652976\pi\)
\(132\) −1.59131 + 3.10768i −0.138506 + 0.270489i
\(133\) 4.79448 + 2.10941i 0.415734 + 0.182909i
\(134\) 8.12040i 0.701496i
\(135\) −5.87866 17.4127i −0.505955 1.49865i
\(136\) 16.9232 2.98402i 1.45115 0.255878i
\(137\) 0.492495 + 1.35312i 0.0420767 + 0.115605i 0.958952 0.283570i \(-0.0915189\pi\)
−0.916875 + 0.399175i \(0.869297\pi\)
\(138\) 1.26192 + 5.51647i 0.107422 + 0.469593i
\(139\) −5.31290 + 1.93374i −0.450634 + 0.164018i −0.557360 0.830271i \(-0.688186\pi\)
0.106725 + 0.994289i \(0.465963\pi\)
\(140\) 2.53937i 0.214616i
\(141\) 5.73484 11.1996i 0.482961 0.943180i
\(142\) −2.86242 + 16.2336i −0.240209 + 1.36229i
\(143\) −9.86419 + 3.59027i −0.824885 + 0.300234i
\(144\) −4.29299 5.95894i −0.357749 0.496579i
\(145\) 30.9134 + 17.8478i 2.56722 + 1.48218i
\(146\) −12.0540 10.1145i −0.997600 0.837086i
\(147\) −6.54888 7.05113i −0.540143 0.581568i
\(148\) 0.0494959 + 0.00872746i 0.00406854 + 0.000717393i
\(149\) 3.17185 + 3.78007i 0.259848 + 0.309675i 0.880157 0.474682i \(-0.157437\pi\)
−0.620309 + 0.784358i \(0.712993\pi\)
\(150\) 4.53331 14.7221i 0.370143 1.20205i
\(151\) 2.49334 + 1.43953i 0.202905 + 0.117147i 0.598010 0.801489i \(-0.295958\pi\)
−0.395105 + 0.918636i \(0.629292\pi\)
\(152\) −12.2732 5.39982i −0.995491 0.437983i
\(153\) 13.5977 9.79616i 1.09931 0.791972i
\(154\) 1.64219 4.51188i 0.132332 0.363578i
\(155\) 1.42059 + 0.517053i 0.114105 + 0.0415307i
\(156\) −0.398802 + 3.19496i −0.0319297 + 0.255802i
\(157\) 4.30069 + 1.56532i 0.343232 + 0.124926i 0.507884 0.861425i \(-0.330428\pi\)
−0.164652 + 0.986352i \(0.552650\pi\)
\(158\) −6.19768 17.0280i −0.493061 1.35467i
\(159\) −9.32389 + 6.02844i −0.739433 + 0.478086i
\(160\) 11.5057i 0.909603i
\(161\) 1.13386 + 3.11526i 0.0893608 + 0.245517i
\(162\) −9.37049 5.07928i −0.736215 0.399066i
\(163\) −7.45014 12.9040i −0.583540 1.01072i −0.995056 0.0993184i \(-0.968334\pi\)
0.411516 0.911403i \(-0.365000\pi\)
\(164\) −0.607371 1.05200i −0.0474277 0.0821471i
\(165\) −12.4718 + 16.4817i −0.970926 + 1.28310i
\(166\) −4.40156 + 12.0932i −0.341627 + 0.938614i
\(167\) 1.69841 9.63214i 0.131427 0.745357i −0.845855 0.533413i \(-0.820909\pi\)
0.977282 0.211944i \(-0.0679796\pi\)
\(168\) −4.35715 4.69131i −0.336161 0.361943i
\(169\) 2.54288 2.13373i 0.195606 0.164133i
\(170\) 23.3994 1.79465
\(171\) −13.0686 + 0.461421i −0.999377 + 0.0352858i
\(172\) 0.206633 0.0157556
\(173\) −10.3368 + 8.67358i −0.785890 + 0.659440i −0.944724 0.327865i \(-0.893671\pi\)
0.158835 + 0.987305i \(0.449226\pi\)
\(174\) 20.1806 4.61642i 1.52989 0.349970i
\(175\) 1.56704 8.88715i 0.118457 0.671805i
\(176\) −2.82493 + 7.76144i −0.212937 + 0.585040i
\(177\) 4.74251 + 0.591970i 0.356469 + 0.0444952i
\(178\) −0.586925 1.01658i −0.0439919 0.0761962i
\(179\) 5.61287 + 9.72177i 0.419525 + 0.726639i 0.995892 0.0905521i \(-0.0288632\pi\)
−0.576366 + 0.817191i \(0.695530\pi\)
\(180\) 2.75618 + 5.70905i 0.205434 + 0.425528i
\(181\) −8.71982 23.9575i −0.648139 1.78075i −0.624497 0.781027i \(-0.714696\pi\)
−0.0236417 0.999720i \(-0.507526\pi\)
\(182\) 4.42786i 0.328215i
\(183\) −0.435060 8.63289i −0.0321606 0.638162i
\(184\) −2.90254 7.97466i −0.213978 0.587899i
\(185\) 0.279585 + 0.101760i 0.0205555 + 0.00748158i
\(186\) 0.807741 0.340954i 0.0592265 0.0250000i
\(187\) −17.7108 6.44620i −1.29514 0.471393i
\(188\) −1.48447 + 4.07856i −0.108266 + 0.297460i
\(189\) −5.81580 2.27274i −0.423037 0.165318i
\(190\) −15.1815 10.1431i −1.10138 0.735860i
\(191\) 7.17902 + 4.14481i 0.519456 + 0.299908i 0.736712 0.676207i \(-0.236377\pi\)
−0.217256 + 0.976115i \(0.569711\pi\)
\(192\) 10.3122 + 11.1031i 0.744221 + 0.801297i
\(193\) −9.42655 11.2341i −0.678538 0.808650i 0.311381 0.950285i \(-0.399209\pi\)
−0.989919 + 0.141635i \(0.954764\pi\)
\(194\) 4.12767 + 0.727820i 0.296349 + 0.0522544i
\(195\) −5.60930 + 18.2164i −0.401690 + 1.30450i
\(196\) 2.54289 + 2.13374i 0.181635 + 0.152410i
\(197\) −4.15947 2.40147i −0.296350 0.171098i 0.344452 0.938804i \(-0.388065\pi\)
−0.640802 + 0.767706i \(0.721398\pi\)
\(198\) 1.20511 + 11.9261i 0.0856434 + 0.847552i
\(199\) 7.95338 2.89479i 0.563800 0.205206i −0.0443673 0.999015i \(-0.514127\pi\)
0.608167 + 0.793809i \(0.291905\pi\)
\(200\) −4.01143 + 22.7499i −0.283651 + 1.60866i
\(201\) 6.44830 + 9.97327i 0.454828 + 0.703460i
\(202\) 22.6654i 1.59473i
\(203\) 11.3964 4.14794i 0.799869 0.291128i
\(204\) −4.23582 + 3.93411i −0.296567 + 0.275443i
\(205\) −2.45949 6.75740i −0.171778 0.471957i
\(206\) 3.14267 0.554138i 0.218960 0.0386086i
\(207\) −5.93041 5.77311i −0.412192 0.401259i
\(208\) 7.61690i 0.528137i
\(209\) 8.69642 + 11.8595i 0.601544 + 0.820339i
\(210\) −4.73362 7.32125i −0.326650 0.505214i
\(211\) −9.03433 + 1.59300i −0.621949 + 0.109666i −0.475738 0.879587i \(-0.657819\pi\)
−0.146211 + 0.989253i \(0.546708\pi\)
\(212\) 2.93392 2.46185i 0.201502 0.169081i
\(213\) −9.37533 22.2107i −0.642387 1.52185i
\(214\) −1.73390 9.83344i −0.118527 0.672200i
\(215\) 1.20465 + 0.212412i 0.0821564 + 0.0144864i
\(216\) 14.8877 + 5.81793i 1.01298 + 0.395860i
\(217\) 0.444815 0.256814i 0.0301960 0.0174337i
\(218\) −9.71200 1.71249i −0.657779 0.115984i
\(219\) 22.8363 + 2.85048i 1.54313 + 0.192617i
\(220\) 3.56479 6.17440i 0.240338 0.416278i
\(221\) −17.3810 −1.16917
\(222\) 0.158970 0.0671028i 0.0106694 0.00450364i
\(223\) 26.8017 4.72586i 1.79477 0.316467i 0.825862 0.563873i \(-0.190689\pi\)
0.968912 + 0.247406i \(0.0795781\pi\)
\(224\) 2.99455 + 2.51272i 0.200082 + 0.167888i
\(225\) 6.12289 + 21.6811i 0.408192 + 1.44541i
\(226\) −6.90374 2.51275i −0.459230 0.167146i
\(227\) 6.43268 11.1417i 0.426952 0.739502i −0.569649 0.821888i \(-0.692921\pi\)
0.996600 + 0.0823860i \(0.0262541\pi\)
\(228\) 4.45354 0.716301i 0.294943 0.0474382i
\(229\) −8.07409 13.9847i −0.533551 0.924138i −0.999232 0.0391849i \(-0.987524\pi\)
0.465681 0.884953i \(-0.345809\pi\)
\(230\) −2.00664 11.3802i −0.132314 0.750390i
\(231\) 1.56593 + 6.84542i 0.103030 + 0.450396i
\(232\) −29.1732 + 10.6182i −1.91532 + 0.697118i
\(233\) −16.8874 20.1256i −1.10633 1.31847i −0.943335 0.331843i \(-0.892330\pi\)
−0.162993 0.986627i \(-0.552115\pi\)
\(234\) 4.80592 + 9.95481i 0.314173 + 0.650766i
\(235\) −12.8470 + 22.2516i −0.838044 + 1.45154i
\(236\) −1.64861 −0.107315
\(237\) 21.1335 + 15.9919i 1.37277 + 1.03878i
\(238\) 5.11020 6.09010i 0.331245 0.394762i
\(239\) −1.15583 0.667321i −0.0747646 0.0431654i 0.462152 0.886801i \(-0.347078\pi\)
−0.536916 + 0.843636i \(0.680411\pi\)
\(240\) 8.14286 + 12.5942i 0.525619 + 0.812950i
\(241\) 12.7591 15.2057i 0.821885 0.979484i −0.178105 0.984011i \(-0.556997\pi\)
0.999990 + 0.00452763i \(0.00144119\pi\)
\(242\) 0.347394 0.291498i 0.0223313 0.0187382i
\(243\) 15.5420 1.20274i 0.997019 0.0771556i
\(244\) 0.517762 + 2.93637i 0.0331463 + 0.187982i
\(245\) 12.6314 + 15.0535i 0.806989 + 0.961732i
\(246\) −3.71213 1.90082i −0.236677 0.121192i
\(247\) 11.2767 + 7.53426i 0.717520 + 0.479394i
\(248\) −1.13867 + 0.657410i −0.0723055 + 0.0417456i
\(249\) −4.19715 18.3478i −0.265984 1.16274i
\(250\) −3.59544 + 9.87840i −0.227396 + 0.624765i
\(251\) 0.253817 0.302487i 0.0160208 0.0190928i −0.757975 0.652284i \(-0.773811\pi\)
0.773995 + 0.633191i \(0.218255\pi\)
\(252\) 2.08780 + 0.529457i 0.131519 + 0.0333527i
\(253\) −1.61628 + 9.16638i −0.101615 + 0.576286i
\(254\) 4.19061 2.41945i 0.262942 0.151810i
\(255\) −28.7386 + 18.5812i −1.79968 + 1.16360i
\(256\) −9.90658 8.31261i −0.619161 0.519538i
\(257\) 8.20729 + 6.88674i 0.511957 + 0.429583i 0.861817 0.507219i \(-0.169327\pi\)
−0.349860 + 0.936802i \(0.613771\pi\)
\(258\) 0.595743 0.385183i 0.0370894 0.0239804i
\(259\) 0.0875434 0.0505432i 0.00543968 0.00314060i
\(260\) 1.14171 6.47496i 0.0708059 0.401560i
\(261\) −21.1195 + 21.6949i −1.30726 + 1.34288i
\(262\) 10.6167 12.6525i 0.655900 0.781671i
\(263\) −6.16418 + 16.9359i −0.380100 + 1.04431i 0.591214 + 0.806514i \(0.298649\pi\)
−0.971314 + 0.237801i \(0.923574\pi\)
\(264\) −4.00857 17.5234i −0.246711 1.07849i
\(265\) 19.6352 11.3364i 1.20618 0.696387i
\(266\) −5.95540 + 1.73608i −0.365149 + 0.106446i
\(267\) 1.52810 + 0.782474i 0.0935184 + 0.0478866i
\(268\) −2.63331 3.13826i −0.160855 0.191699i
\(269\) −3.20257 18.1627i −0.195264 1.10740i −0.912042 0.410097i \(-0.865495\pi\)
0.716778 0.697302i \(-0.245616\pi\)
\(270\) 18.5886 + 11.3220i 1.13126 + 0.689035i
\(271\) 15.3895 12.9133i 0.934845 0.784428i −0.0418362 0.999124i \(-0.513321\pi\)
0.976681 + 0.214697i \(0.0688763\pi\)
\(272\) −8.79067 + 10.4763i −0.533013 + 0.635220i
\(273\) 3.51611 + 5.43819i 0.212804 + 0.329134i
\(274\) −1.47685 0.852662i −0.0892200 0.0515112i
\(275\) 16.2861 19.4090i 0.982088 1.17041i
\(276\) 2.27659 + 1.72271i 0.137034 + 0.103695i
\(277\) −14.4634 −0.869021 −0.434511 0.900667i \(-0.643079\pi\)
−0.434511 + 0.900667i \(0.643079\pi\)
\(278\) 3.34790 5.79873i 0.200794 0.347785i
\(279\) −0.721300 + 1.06017i −0.0431831 + 0.0634706i
\(280\) 8.40400 + 10.0155i 0.502235 + 0.598540i
\(281\) −22.0627 + 8.03017i −1.31615 + 0.479040i −0.902223 0.431270i \(-0.858066\pi\)
−0.413928 + 0.910310i \(0.635844\pi\)
\(282\) 3.32292 + 14.5261i 0.197877 + 0.865017i
\(283\) 2.74950 + 15.5932i 0.163441 + 0.926918i 0.950658 + 0.310242i \(0.100410\pi\)
−0.787217 + 0.616676i \(0.788479\pi\)
\(284\) 4.15806 + 7.20196i 0.246735 + 0.427358i
\(285\) 26.7000 + 0.402132i 1.58157 + 0.0238202i
\(286\) 6.21588 10.7662i 0.367553 0.636620i
\(287\) −2.29586 0.835623i −0.135520 0.0493253i
\(288\) −9.45967 2.39893i −0.557416 0.141358i
\(289\) −10.8831 9.13200i −0.640182 0.537177i
\(290\) −41.6317 + 7.34078i −2.44470 + 0.431066i
\(291\) −5.64745 + 2.38384i −0.331059 + 0.139743i
\(292\) −7.93845 −0.464563
\(293\) −5.23556 + 9.06825i −0.305865 + 0.529773i −0.977453 0.211151i \(-0.932279\pi\)
0.671589 + 0.740924i \(0.265612\pi\)
\(294\) 11.3089 + 1.41160i 0.659547 + 0.0823261i
\(295\) −9.61124 1.69472i −0.559588 0.0986705i
\(296\) −0.224100 + 0.129384i −0.0130255 + 0.00752030i
\(297\) −10.9504 13.6904i −0.635409 0.794397i
\(298\) −5.75511 1.01478i −0.333385 0.0587847i
\(299\) 1.49052 + 8.45318i 0.0861992 + 0.488860i
\(300\) −3.02215 7.15964i −0.174484 0.413362i
\(301\) 0.318367 0.267142i 0.0183504 0.0153978i
\(302\) −3.35783 + 0.592075i −0.193221 + 0.0340701i
\(303\) −17.9983 27.8371i −1.03398 1.59920i
\(304\) 10.2446 2.98644i 0.587568 0.171284i
\(305\) 17.6510i 1.01069i
\(306\) −4.87877 + 19.2384i −0.278901 + 1.09979i
\(307\) −32.0322 + 5.64814i −1.82817 + 0.322357i −0.978704 0.205279i \(-0.934190\pi\)
−0.849471 + 0.527635i \(0.823079\pi\)
\(308\) −0.828477 2.27622i −0.0472069 0.129700i
\(309\) −3.41972 + 3.17613i −0.194541 + 0.180684i
\(310\) −1.68239 + 0.612339i −0.0955531 + 0.0347785i
\(311\) 4.22301i 0.239465i 0.992806 + 0.119733i \(0.0382037\pi\)
−0.992806 + 0.119733i \(0.961796\pi\)
\(312\) −9.00077 13.9211i −0.509568 0.788125i
\(313\) −4.93706 + 27.9995i −0.279059 + 1.58262i 0.446706 + 0.894681i \(0.352597\pi\)
−0.725765 + 0.687942i \(0.758514\pi\)
\(314\) −5.09325 + 1.85379i −0.287429 + 0.104615i
\(315\) 11.6274 + 5.23288i 0.655130 + 0.294839i
\(316\) −7.91708 4.57093i −0.445371 0.257135i
\(317\) 2.33530 + 1.95955i 0.131164 + 0.110059i 0.706010 0.708202i \(-0.250494\pi\)
−0.574846 + 0.818262i \(0.694938\pi\)
\(318\) 3.86967 12.5669i 0.217000 0.704714i
\(319\) 33.5329 + 5.91275i 1.87748 + 0.331050i
\(320\) −19.8900 23.7040i −1.11189 1.32510i
\(321\) 9.93813 + 10.7003i 0.554692 + 0.597233i
\(322\) −3.40013 1.96307i −0.189482 0.109397i
\(323\) 6.81474 + 23.3771i 0.379182 + 1.30074i
\(324\) −5.26850 + 1.07573i −0.292694 + 0.0597625i
\(325\) 7.99140 21.9562i 0.443283 1.21791i
\(326\) 16.5820 + 6.03536i 0.918392 + 0.334267i
\(327\) 13.2879 5.60893i 0.734822 0.310175i
\(328\) 5.87709 + 2.13909i 0.324508 + 0.118111i
\(329\) 2.98571 + 8.20318i 0.164608 + 0.452256i
\(330\) −1.23200 24.4465i −0.0678192 1.34574i
\(331\) 15.7759i 0.867122i −0.901124 0.433561i \(-0.857257\pi\)
0.901124 0.433561i \(-0.142743\pi\)
\(332\) 2.22057 + 6.10095i 0.121869 + 0.334833i
\(333\) −0.141958 + 0.208650i −0.00777926 + 0.0114340i
\(334\) 5.79159 + 10.0313i 0.316902 + 0.548890i
\(335\) −12.1259 21.0027i −0.662509 1.14750i
\(336\) 5.05617 + 0.631122i 0.275836 + 0.0344305i
\(337\) 2.31078 6.34880i 0.125876 0.345841i −0.860707 0.509100i \(-0.829978\pi\)
0.986583 + 0.163259i \(0.0522005\pi\)
\(338\) −0.682652 + 3.87151i −0.0371314 + 0.210583i
\(339\) 10.4743 2.39606i 0.568888 0.130136i
\(340\) 9.04307 7.58804i 0.490429 0.411519i
\(341\) 1.44207 0.0780926
\(342\) 11.5047 10.3670i 0.622105 0.560582i
\(343\) 15.0882 0.814689
\(344\) −0.814979 + 0.683848i −0.0439407 + 0.0368706i
\(345\) 11.5014 + 12.3835i 0.619214 + 0.666703i
\(346\) 2.77497 15.7376i 0.149183 0.846059i
\(347\) −0.0305956 + 0.0840608i −0.00164246 + 0.00451262i −0.940511 0.339763i \(-0.889653\pi\)
0.938869 + 0.344275i \(0.111875\pi\)
\(348\) 6.30208 8.32831i 0.337827 0.446444i
\(349\) −6.30204 10.9154i −0.337340 0.584290i 0.646591 0.762837i \(-0.276194\pi\)
−0.983932 + 0.178546i \(0.942861\pi\)
\(350\) 5.34364 + 9.25546i 0.285630 + 0.494725i
\(351\) −13.8075 8.40993i −0.736989 0.448889i
\(352\) 3.75377 + 10.3134i 0.200076 + 0.549706i
\(353\) 22.2462i 1.18405i −0.805920 0.592024i \(-0.798329\pi\)
0.805920 0.592024i \(-0.201671\pi\)
\(354\) −4.75311 + 3.07316i −0.252625 + 0.163337i
\(355\) 16.8377 + 46.2611i 0.893650 + 2.45528i
\(356\) −0.556488 0.202545i −0.0294938 0.0107349i
\(357\) −1.44015 + 11.5376i −0.0762210 + 0.610637i
\(358\) −12.4927 4.54698i −0.660261 0.240315i
\(359\) 0.731181 2.00890i 0.0385902 0.106026i −0.918901 0.394488i \(-0.870922\pi\)
0.957491 + 0.288463i \(0.0931441\pi\)
\(360\) −29.7647 13.3955i −1.56874 0.706004i
\(361\) 5.71208 18.1210i 0.300636 0.953739i
\(362\) 26.1483 + 15.0967i 1.37432 + 0.793466i
\(363\) −0.195186 + 0.633871i −0.0102446 + 0.0332696i
\(364\) −1.43588 1.71122i −0.0752606 0.0896921i
\(365\) −46.2804 8.16048i −2.42243 0.427139i
\(366\) 6.96643 + 7.50071i 0.364141 + 0.392068i
\(367\) 19.8141 + 16.6260i 1.03429 + 0.867872i 0.991355 0.131206i \(-0.0418850\pi\)
0.0429341 + 0.999078i \(0.486329\pi\)
\(368\) 5.84897 + 3.37691i 0.304899 + 0.176033i
\(369\) 6.06856 0.613215i 0.315917 0.0319227i
\(370\) −0.331108 + 0.120514i −0.0172135 + 0.00626520i
\(371\) 1.33764 7.58613i 0.0694468 0.393852i
\(372\) 0.201598 0.393704i 0.0104524 0.0204126i
\(373\) 4.92510i 0.255012i 0.991838 + 0.127506i \(0.0406972\pi\)
−0.991838 + 0.127506i \(0.959303\pi\)
\(374\) 20.9746 7.63414i 1.08457 0.394752i
\(375\) −3.42847 14.9875i −0.177045 0.773951i
\(376\) −7.64304 20.9991i −0.394159 1.08294i
\(377\) 30.9238 5.45270i 1.59266 0.280828i
\(378\) 7.00630 2.36538i 0.360365 0.121662i
\(379\) 4.36686i 0.224311i −0.993691 0.112155i \(-0.964225\pi\)
0.993691 0.112155i \(-0.0357754\pi\)
\(380\) −9.15636 + 1.00313i −0.469711 + 0.0514593i
\(381\) −3.22555 + 6.29921i −0.165250 + 0.322718i
\(382\) −9.66813 + 1.70475i −0.494665 + 0.0872227i
\(383\) 21.8328 18.3199i 1.11560 0.936101i 0.117227 0.993105i \(-0.462599\pi\)
0.998374 + 0.0570044i \(0.0181549\pi\)
\(384\) −6.62551 0.827010i −0.338107 0.0422032i
\(385\) −2.49006 14.1218i −0.126905 0.719714i
\(386\) 17.1038 + 3.01587i 0.870562 + 0.153504i
\(387\) −0.425809 + 0.946143i −0.0216451 + 0.0480952i
\(388\) 1.83122 1.05726i 0.0929662 0.0536741i
\(389\) 0.266820 + 0.0470475i 0.0135283 + 0.00238540i 0.180408 0.983592i \(-0.442258\pi\)
−0.166880 + 0.985977i \(0.553369\pi\)
\(390\) −8.77826 20.7962i −0.444505 1.05306i
\(391\) −7.70575 + 13.3467i −0.389696 + 0.674974i
\(392\) −17.0910 −0.863223
\(393\) −2.99198 + 23.9700i −0.150926 + 1.20913i
\(394\) 5.60165 0.987722i 0.282207 0.0497607i
\(395\) −41.4570 34.7866i −2.08593 1.75030i
\(396\) 4.33317 + 4.21823i 0.217750 + 0.211974i
\(397\) −17.4513 6.35175i −0.875855 0.318785i −0.135319 0.990802i \(-0.543206\pi\)
−0.740536 + 0.672017i \(0.765428\pi\)
\(398\) −5.01179 + 8.68067i −0.251218 + 0.435123i
\(399\) 5.93568 6.86131i 0.297156 0.343495i
\(400\) −9.19225 15.9214i −0.459612 0.796072i
\(401\) 0.520392 + 2.95129i 0.0259871 + 0.147380i 0.995040 0.0994712i \(-0.0317151\pi\)
−0.969053 + 0.246852i \(0.920604\pi\)
\(402\) −13.4421 4.13918i −0.670431 0.206443i
\(403\) 1.24967 0.454842i 0.0622504 0.0226573i
\(404\) 7.35002 + 8.75941i 0.365677 + 0.435797i
\(405\) −31.8206 + 0.855522i −1.58118 + 0.0425112i
\(406\) −7.18137 + 12.4385i −0.356406 + 0.617313i
\(407\) 0.283812 0.0140680
\(408\) 3.68661 29.5349i 0.182514 1.46219i
\(409\) 5.56405 6.63097i 0.275124 0.327881i −0.610734 0.791836i \(-0.709126\pi\)
0.885859 + 0.463955i \(0.153570\pi\)
\(410\) 7.37532 + 4.25814i 0.364241 + 0.210295i
\(411\) 2.49092 0.125532i 0.122868 0.00619202i
\(412\) 1.03484 1.23327i 0.0509828 0.0607589i
\(413\) −2.54008 + 2.13138i −0.124989 + 0.104878i
\(414\) 9.77491 + 0.722965i 0.480411 + 0.0355318i
\(415\) 6.67409 + 37.8506i 0.327618 + 1.85801i
\(416\) 6.50587 + 7.75339i 0.318976 + 0.380141i
\(417\) 0.492889 + 9.78038i 0.0241369 + 0.478947i
\(418\) −16.9175 4.13903i −0.827462 0.202446i
\(419\) 7.45530 4.30432i 0.364215 0.210280i −0.306713 0.951802i \(-0.599229\pi\)
0.670928 + 0.741522i \(0.265896\pi\)
\(420\) −4.20354 1.29438i −0.205112 0.0631593i
\(421\) 5.95550 16.3626i 0.290253 0.797465i −0.705776 0.708435i \(-0.749401\pi\)
0.996029 0.0890293i \(-0.0283765\pi\)
\(422\) 6.98343 8.32252i 0.339948 0.405134i
\(423\) −15.6161 15.2019i −0.759281 0.739142i
\(424\) −3.42419 + 19.4195i −0.166293 + 0.943095i
\(425\) 36.3311 20.9757i 1.76232 1.01747i
\(426\) 25.4132 + 13.0130i 1.23127 + 0.630481i
\(427\) 4.59398 + 3.85481i 0.222318 + 0.186547i
\(428\) −3.85891 3.23801i −0.186528 0.156515i
\(429\) 0.915121 + 18.1587i 0.0441825 + 0.876712i
\(430\) −1.25457 + 0.724329i −0.0605009 + 0.0349302i
\(431\) −0.502283 + 2.84859i −0.0241941 + 0.137212i −0.994512 0.104620i \(-0.966637\pi\)
0.970318 + 0.241832i \(0.0777483\pi\)
\(432\) −12.0524 + 4.06897i −0.579870 + 0.195768i
\(433\) 1.11574 1.32969i 0.0536191 0.0639008i −0.738568 0.674179i \(-0.764498\pi\)
0.792187 + 0.610278i \(0.208942\pi\)
\(434\) −0.208045 + 0.571598i −0.00998647 + 0.0274376i
\(435\) 45.3017 42.0749i 2.17205 2.01734i
\(436\) −4.30868 + 2.48762i −0.206349 + 0.119135i
\(437\) 10.7850 5.31906i 0.515916 0.254445i
\(438\) −22.8874 + 14.7980i −1.09360 + 0.707076i
\(439\) 16.8651 + 20.0990i 0.804927 + 0.959275i 0.999768 0.0215601i \(-0.00686333\pi\)
−0.194840 + 0.980835i \(0.562419\pi\)
\(440\) 6.37422 + 36.1500i 0.303879 + 1.72338i
\(441\) −15.0102 + 7.24654i −0.714772 + 0.345073i
\(442\) 15.7683 13.2312i 0.750021 0.629342i
\(443\) −9.01043 + 10.7382i −0.428098 + 0.510188i −0.936373 0.351008i \(-0.885839\pi\)
0.508274 + 0.861195i \(0.330284\pi\)
\(444\) 0.0396763 0.0774844i 0.00188295 0.00367724i
\(445\) −3.03606 1.75287i −0.143923 0.0830940i
\(446\) −20.7174 + 24.6900i −0.980996 + 1.16911i
\(447\) 7.87411 3.32373i 0.372433 0.157207i
\(448\) −10.5132 −0.496700
\(449\) 2.51755 4.36052i 0.118810 0.205786i −0.800486 0.599351i \(-0.795425\pi\)
0.919296 + 0.393566i \(0.128759\pi\)
\(450\) −22.0594 15.0084i −1.03989 0.707504i
\(451\) −4.40925 5.25474i −0.207623 0.247436i
\(452\) −3.48290 + 1.26767i −0.163822 + 0.0596263i
\(453\) 3.65384 3.39358i 0.171672 0.159444i
\(454\) 2.64575 + 15.0048i 0.124171 + 0.704210i
\(455\) −6.61197 11.4523i −0.309974 0.536891i
\(456\) −15.1946 + 17.5641i −0.711551 + 0.822513i
\(457\) −5.41934 + 9.38658i −0.253506 + 0.439085i −0.964489 0.264124i \(-0.914917\pi\)
0.710983 + 0.703210i \(0.248250\pi\)
\(458\) 17.9707 + 6.54082i 0.839718 + 0.305632i
\(459\) −9.28496 27.5023i −0.433385 1.28370i
\(460\) −4.46591 3.74735i −0.208224 0.174721i
\(461\) −11.0137 + 1.94201i −0.512958 + 0.0904483i −0.424135 0.905599i \(-0.639422\pi\)
−0.0888231 + 0.996047i \(0.528311\pi\)
\(462\) −6.63167 5.01822i −0.308533 0.233469i
\(463\) −0.379160 −0.0176211 −0.00881053 0.999961i \(-0.502805\pi\)
−0.00881053 + 0.999961i \(0.502805\pi\)
\(464\) 12.3535 21.3970i 0.573499 0.993329i
\(465\) 1.58001 2.08802i 0.0732714 0.0968296i
\(466\) 30.6410 + 5.40283i 1.41942 + 0.250281i
\(467\) 27.8806 16.0968i 1.29016 0.744873i 0.311476 0.950254i \(-0.399177\pi\)
0.978682 + 0.205381i \(0.0658433\pi\)
\(468\) 5.08550 + 2.28871i 0.235077 + 0.105796i
\(469\) −8.11448 1.43080i −0.374692 0.0660683i
\(470\) −5.28394 29.9667i −0.243730 1.38226i
\(471\) 4.78333 6.32126i 0.220404 0.291268i
\(472\) 6.50227 5.45605i 0.299291 0.251135i
\(473\) 1.14912 0.202620i 0.0528364 0.00931649i
\(474\) −31.3464 + 1.57972i −1.43979 + 0.0725590i
\(475\) −32.6640 2.13970i −1.49873 0.0981763i
\(476\) 4.01077i 0.183833i
\(477\) 5.22654 + 18.5071i 0.239307 + 0.847384i
\(478\) 1.55658 0.274468i 0.0711965 0.0125539i
\(479\) 11.5934 + 31.8527i 0.529718 + 1.45539i 0.859404 + 0.511297i \(0.170835\pi\)
−0.329686 + 0.944091i \(0.606943\pi\)
\(480\) 19.0459 + 5.86474i 0.869323 + 0.267687i
\(481\) 0.245946 0.0895168i 0.0112141 0.00408162i
\(482\) 23.5076i 1.07074i
\(483\) 5.73480 0.289009i 0.260942 0.0131504i
\(484\) 0.0397279 0.225308i 0.00180581 0.0102413i
\(485\) 11.7627 4.28126i 0.534115 0.194402i
\(486\) −13.1844 + 12.9224i −0.598055 + 0.586172i
\(487\) −8.91799 5.14880i −0.404113 0.233315i 0.284144 0.958782i \(-0.408291\pi\)
−0.688257 + 0.725467i \(0.741624\pi\)
\(488\) −11.7600 9.86781i −0.532350 0.446695i
\(489\) −25.1582 + 5.75507i −1.13769 + 0.260253i
\(490\) −22.9188 4.04120i −1.03536 0.182563i
\(491\) −22.6124 26.9484i −1.02048 1.21616i −0.976139 0.217148i \(-0.930325\pi\)
−0.0443440 0.999016i \(-0.514120\pi\)
\(492\) −2.05101 + 0.469180i −0.0924668 + 0.0211523i
\(493\) 48.8256 + 28.1895i 2.19900 + 1.26959i
\(494\) −15.9658 + 1.74914i −0.718337 + 0.0786974i
\(495\) 20.9257 + 29.0463i 0.940542 + 1.30553i
\(496\) 0.357883 0.983275i 0.0160694 0.0441504i
\(497\) 15.7174 + 5.72067i 0.705023 + 0.256607i
\(498\) 17.7749 + 13.4503i 0.796510 + 0.602724i
\(499\) 23.5317 + 8.56484i 1.05342 + 0.383415i 0.809954 0.586494i \(-0.199492\pi\)
0.243470 + 0.969908i \(0.421714\pi\)
\(500\) 1.81388 + 4.98361i 0.0811194 + 0.222874i
\(501\) −15.0788 7.72120i −0.673672 0.344958i
\(502\) 0.467638i 0.0208717i
\(503\) 2.28846 + 6.28749i 0.102037 + 0.280345i 0.980198 0.198021i \(-0.0634514\pi\)
−0.878160 + 0.478366i \(0.841229\pi\)
\(504\) −9.98671 + 4.82132i −0.444843 + 0.214759i
\(505\) 33.8455 + 58.6221i 1.50610 + 2.60865i
\(506\) −5.51154 9.54627i −0.245018 0.424384i
\(507\) −2.23590 5.29698i −0.0992998 0.235247i
\(508\) 0.834940 2.29398i 0.0370445 0.101779i
\(509\) −6.81147 + 38.6297i −0.301913 + 1.71223i 0.335778 + 0.941941i \(0.391001\pi\)
−0.637691 + 0.770292i \(0.720110\pi\)
\(510\) 11.9273 38.7342i 0.528149 1.71518i
\(511\) −12.2311 + 10.2631i −0.541071 + 0.454013i
\(512\) 23.0252 1.01758
\(513\) −5.89756 + 21.8682i −0.260384 + 0.965505i
\(514\) −12.6883 −0.559656
\(515\) 7.30076 6.12607i 0.321710 0.269947i
\(516\) 0.105326 0.342049i 0.00463672 0.0150579i
\(517\) −4.25603 + 24.1371i −0.187180 + 1.06155i
\(518\) −0.0409450 + 0.112496i −0.00179902 + 0.00494277i
\(519\) 9.08888 + 21.5321i 0.398958 + 0.945154i
\(520\) 16.9258 + 29.3163i 0.742245 + 1.28561i
\(521\) −18.7475 32.4716i −0.821343 1.42261i −0.904682 0.426087i \(-0.859892\pi\)
0.0833394 0.996521i \(-0.473441\pi\)
\(522\) 2.64478 35.7590i 0.115759 1.56513i
\(523\) −1.75650 4.82594i −0.0768063 0.211024i 0.895347 0.445369i \(-0.146928\pi\)
−0.972153 + 0.234345i \(0.924705\pi\)
\(524\) 8.33255i 0.364009i
\(525\) −13.9126 7.12401i −0.607194 0.310917i
\(526\) −7.30015 20.0570i −0.318302 0.874527i
\(527\) 2.24373 + 0.816652i 0.0977385 + 0.0355739i
\(528\) 11.4079 + 8.63245i 0.496467 + 0.375679i
\(529\) −14.4610 5.26336i −0.628738 0.228842i
\(530\) −9.18358 + 25.2317i −0.398909 + 1.09599i
\(531\) 3.39729 7.54876i 0.147430 0.327588i
\(532\) −1.73858 + 2.60217i −0.0753769 + 0.112818i
\(533\) −5.47835 3.16293i −0.237294 0.137002i
\(534\) −1.98197 + 0.453387i −0.0857683 + 0.0196200i
\(535\) −19.1685 22.8441i −0.828727 0.987638i
\(536\) 20.7720 + 3.66267i 0.897215 + 0.158203i
\(537\) 18.9539 4.33582i 0.817923 0.187104i
\(538\) 16.7317 + 14.0395i 0.721354 + 0.605288i
\(539\) 16.2337 + 9.37252i 0.699234 + 0.403703i
\(540\) 10.8554 1.65239i 0.467141 0.0711076i
\(541\) −24.1017 + 8.77231i −1.03621 + 0.377151i −0.803444 0.595381i \(-0.797001\pi\)
−0.232770 + 0.972532i \(0.574779\pi\)
\(542\) −4.13140 + 23.4303i −0.177459 + 1.00642i
\(543\) −44.1027 + 2.22259i −1.89263 + 0.0953803i
\(544\) 18.1725i 0.779138i
\(545\) −27.6764 + 10.0734i −1.18553 + 0.431496i
\(546\) −7.32966 2.25700i −0.313680 0.0965905i
\(547\) 5.07749 + 13.9503i 0.217098 + 0.596471i 0.999659 0.0261023i \(-0.00830955\pi\)
−0.782562 + 0.622573i \(0.786087\pi\)
\(548\) −0.847257 + 0.149394i −0.0361930 + 0.00638181i
\(549\) −14.5122 3.68023i −0.619366 0.157068i
\(550\) 30.0058i 1.27945i
\(551\) −19.4584 39.4541i −0.828956 1.68080i
\(552\) −14.6803 + 0.739825i −0.624837 + 0.0314890i
\(553\) −18.1076 + 3.19286i −0.770014 + 0.135774i
\(554\) 13.1214 11.0102i 0.557476 0.467778i
\(555\) 0.310961 0.410940i 0.0131995 0.0174434i
\(556\) −0.586583 3.32668i −0.0248767 0.141083i
\(557\) −19.5097 3.44009i −0.826653 0.145761i −0.255713 0.966753i \(-0.582310\pi\)
−0.570940 + 0.820991i \(0.693421\pi\)
\(558\) −0.152672 1.51089i −0.00646312 0.0639609i
\(559\) 0.931891 0.538028i 0.0394148 0.0227561i
\(560\) −10.2469 1.80681i −0.433011 0.0763515i
\(561\) −19.6984 + 26.0317i −0.831665 + 1.09906i
\(562\) 13.9027 24.0802i 0.586451 1.01576i
\(563\) 25.3883 1.06999 0.534995 0.844855i \(-0.320314\pi\)
0.534995 + 0.844855i \(0.320314\pi\)
\(564\) 5.99477 + 4.53627i 0.252425 + 0.191011i
\(565\) −21.6081 + 3.81009i −0.909060 + 0.160292i
\(566\) −14.3646 12.0533i −0.603789 0.506639i
\(567\) −6.72665 + 8.46870i −0.282493 + 0.355652i
\(568\) −40.2346 14.6442i −1.68820 0.614456i
\(569\) −8.40455 + 14.5571i −0.352337 + 0.610266i −0.986659 0.162804i \(-0.947946\pi\)
0.634321 + 0.773070i \(0.281280\pi\)
\(570\) −24.5288 + 19.9604i −1.02740 + 0.836050i
\(571\) −16.4890 28.5599i −0.690045 1.19519i −0.971823 0.235713i \(-0.924257\pi\)
0.281778 0.959480i \(-0.409076\pi\)
\(572\) −1.08908 6.17648i −0.0455367 0.258251i
\(573\) 10.5204 9.77107i 0.439498 0.408192i
\(574\) 2.71895 0.989617i 0.113487 0.0413058i
\(575\) −13.3171 15.8707i −0.555361 0.661854i
\(576\) 23.6359 11.4108i 0.984829 0.475450i
\(577\) 5.61500 9.72547i 0.233756 0.404877i −0.725155 0.688586i \(-0.758232\pi\)
0.958910 + 0.283709i \(0.0915651\pi\)
\(578\) 16.8250 0.699828
\(579\) −23.4014 + 9.87791i −0.972527 + 0.410512i
\(580\) −13.7087 + 16.3374i −0.569223 + 0.678374i
\(581\) 11.3088 + 6.52916i 0.469169 + 0.270875i
\(582\) 3.30877 6.46174i 0.137153 0.267848i
\(583\) 13.9019 16.5677i 0.575759 0.686163i
\(584\) 31.3100 26.2722i 1.29562 1.08715i
\(585\) 27.2952 + 18.5707i 1.12852 + 0.767804i
\(586\) −2.15338 12.2124i −0.0889551 0.504490i
\(587\) 20.7748 + 24.7585i 0.857468 + 1.02189i 0.999487 + 0.0320272i \(0.0101963\pi\)
−0.142019 + 0.989864i \(0.545359\pi\)
\(588\) 4.82825 3.12175i 0.199114 0.128739i
\(589\) −1.10173 1.50245i −0.0453958 0.0619073i
\(590\) 10.0096 5.77902i 0.412087 0.237919i
\(591\) −6.09547 + 5.66129i −0.250734 + 0.232874i
\(592\) 0.0704345 0.193517i 0.00289484 0.00795350i
\(593\) −7.58328 + 9.03740i −0.311408 + 0.371121i −0.898934 0.438084i \(-0.855657\pi\)
0.587526 + 0.809205i \(0.300102\pi\)
\(594\) 20.3561 + 4.08417i 0.835223 + 0.167575i
\(595\) 4.12294 23.3824i 0.169024 0.958584i
\(596\) −2.55323 + 1.47411i −0.104584 + 0.0603818i
\(597\) −0.737851 14.6412i −0.0301982 0.599223i
\(598\) −7.78716 6.53420i −0.318441 0.267203i
\(599\) 2.67689 + 2.24618i 0.109375 + 0.0917763i 0.695835 0.718202i \(-0.255035\pi\)
−0.586460 + 0.809978i \(0.699479\pi\)
\(600\) 35.6144 + 18.2365i 1.45395 + 0.744504i
\(601\) 7.81604 4.51259i 0.318823 0.184072i −0.332045 0.943264i \(-0.607739\pi\)
0.650868 + 0.759191i \(0.274405\pi\)
\(602\) −0.0854675 + 0.484710i −0.00348340 + 0.0197553i
\(603\) 19.7961 5.59055i 0.806160 0.227665i
\(604\) −1.10568 + 1.31770i −0.0449897 + 0.0536166i
\(605\) 0.463219 1.27268i 0.0188325 0.0517420i
\(606\) 37.5192 + 11.5532i 1.52411 + 0.469315i
\(607\) −20.8371 + 12.0303i −0.845753 + 0.488296i −0.859216 0.511613i \(-0.829048\pi\)
0.0134624 + 0.999909i \(0.495715\pi\)
\(608\) 7.87736 11.7902i 0.319469 0.478157i
\(609\) −1.05726 20.9793i −0.0428425 0.850124i
\(610\) −13.4367 16.0133i −0.544038 0.648359i
\(611\) 3.92488 + 22.2591i 0.158784 + 0.900508i
\(612\) 4.35321 + 9.01708i 0.175968 + 0.364494i
\(613\) 22.1292 18.5686i 0.893788 0.749977i −0.0751781 0.997170i \(-0.523953\pi\)
0.968966 + 0.247193i \(0.0795081\pi\)
\(614\) 24.7605 29.5084i 0.999253 1.19086i
\(615\) −12.4395 + 0.626897i −0.501610 + 0.0252789i
\(616\) 10.8007 + 6.23580i 0.435173 + 0.251247i
\(617\) 9.34181 11.1331i 0.376087 0.448203i −0.544488 0.838769i \(-0.683276\pi\)
0.920575 + 0.390565i \(0.127720\pi\)
\(618\) 0.684609 5.48468i 0.0275390 0.220626i
\(619\) −29.4065 −1.18195 −0.590973 0.806691i \(-0.701256\pi\)
−0.590973 + 0.806691i \(0.701256\pi\)
\(620\) −0.451613 + 0.782217i −0.0181372 + 0.0314146i
\(621\) −12.5794 + 6.87420i −0.504794 + 0.275852i
\(622\) −3.21474 3.83118i −0.128900 0.153616i
\(623\) −1.11926 + 0.407377i −0.0448422 + 0.0163212i
\(624\) 12.6086 + 3.88253i 0.504749 + 0.155426i
\(625\) −1.06845 6.05948i −0.0427380 0.242379i
\(626\) −16.8355 29.1599i −0.672880 1.16546i
\(627\) 24.0644 8.35051i 0.961040 0.333487i
\(628\) −1.36721 + 2.36808i −0.0545577 + 0.0944967i
\(629\) 0.441586 + 0.160724i 0.0176072 + 0.00640849i
\(630\) −14.5321 + 4.10395i −0.578972 + 0.163505i
\(631\) 30.8381 + 25.8763i 1.22765 + 1.03012i 0.998388 + 0.0567516i \(0.0180743\pi\)
0.229258 + 0.973366i \(0.426370\pi\)
\(632\) 46.3531 8.17331i 1.84383 0.325117i
\(633\) −1.96807 + 15.7670i −0.0782236 + 0.626680i
\(634\) −3.61032 −0.143384
\(635\) 7.22576 12.5154i 0.286745 0.496658i
\(636\) −2.57973 6.11153i −0.102293 0.242338i
\(637\) 17.0239 + 3.00178i 0.674513 + 0.118935i
\(638\) −34.9226 + 20.1626i −1.38260 + 0.798244i
\(639\) −41.5453 + 4.19807i −1.64351 + 0.166073i
\(640\) 13.4274 + 2.36761i 0.530763 + 0.0935879i
\(641\) −1.79328 10.1702i −0.0708305 0.401700i −0.999524 0.0308514i \(-0.990178\pi\)
0.928694 0.370848i \(-0.120933\pi\)
\(642\) −17.1616 2.14215i −0.677314 0.0845438i
\(643\) 9.40792 7.89418i 0.371012 0.311316i −0.438150 0.898902i \(-0.644366\pi\)
0.809162 + 0.587586i \(0.199922\pi\)
\(644\) −1.95062 + 0.343947i −0.0768653 + 0.0135534i
\(645\) 0.965657 1.88584i 0.0380227 0.0742550i
\(646\) −23.9781 16.0204i −0.943408 0.630315i
\(647\) 1.83354i 0.0720840i −0.999350 0.0360420i \(-0.988525\pi\)
0.999350 0.0360420i \(-0.0114750\pi\)
\(648\) 17.2193 21.6788i 0.676440 0.851623i
\(649\) −9.16818 + 1.61660i −0.359882 + 0.0634570i
\(650\) 9.46410 + 26.0024i 0.371213 + 1.01990i
\(651\) −0.198383 0.867228i −0.00777525 0.0339894i
\(652\) 8.36554 3.04481i 0.327620 0.119244i
\(653\) 25.4356i 0.995370i −0.867358 0.497685i \(-0.834184\pi\)
0.867358 0.497685i \(-0.165816\pi\)
\(654\) −7.78522 + 15.2038i −0.304426 + 0.594517i
\(655\) 8.56560 48.5779i 0.334686 1.89810i
\(656\) −4.67719 + 1.70236i −0.182614 + 0.0664660i
\(657\) 16.3588 36.3491i 0.638217 1.41811i
\(658\) −8.95331 5.16919i −0.349036 0.201516i
\(659\) −0.378559 0.317648i −0.0147465 0.0123738i 0.635385 0.772196i \(-0.280842\pi\)
−0.650131 + 0.759822i \(0.725286\pi\)
\(660\) −8.40371 9.04822i −0.327114 0.352201i
\(661\) 36.6397 + 6.46056i 1.42512 + 0.251287i 0.832423 0.554140i \(-0.186953\pi\)
0.592695 + 0.805427i \(0.298064\pi\)
\(662\) 12.0093 + 14.3121i 0.466755 + 0.556257i
\(663\) −8.85953 + 28.7716i −0.344076 + 1.11740i
\(664\) −28.9491 16.7138i −1.12344 0.648621i
\(665\) −12.8107 + 13.3832i −0.496777 + 0.518978i
\(666\) −0.0300472 0.297356i −0.00116430 0.0115223i
\(667\) 9.52278 26.1636i 0.368723 1.01306i
\(668\) 5.49124 + 1.99865i 0.212463 + 0.0773300i
\(669\) 5.83856 46.7750i 0.225732 1.80843i
\(670\) 26.9890 + 9.82319i 1.04268 + 0.379503i
\(671\) 5.75871 + 15.8219i 0.222312 + 0.610798i
\(672\) 5.68583 3.67622i 0.219336 0.141813i
\(673\) 8.50387i 0.327800i 0.986477 + 0.163900i \(0.0524075\pi\)
−0.986477 + 0.163900i \(0.947593\pi\)
\(674\) 2.73662 + 7.51880i 0.105411 + 0.289613i
\(675\) 39.0108 + 0.915898i 1.50153 + 0.0352529i
\(676\) 0.991645 + 1.71758i 0.0381402 + 0.0660607i
\(677\) −17.6944 30.6476i −0.680051 1.17788i −0.974965 0.222359i \(-0.928624\pi\)
0.294914 0.955524i \(-0.404709\pi\)
\(678\) −7.67850 + 10.1473i −0.294891 + 0.389704i
\(679\) 1.45458 3.99642i 0.0558216 0.153369i
\(680\) −10.5542 + 59.8558i −0.404735 + 2.29537i
\(681\) −15.1645 16.3275i −0.581106 0.625673i
\(682\) −1.30827 + 1.09777i −0.0500963 + 0.0420358i
\(683\) 11.3436 0.434052 0.217026 0.976166i \(-0.430364\pi\)
0.217026 + 0.976166i \(0.430364\pi\)
\(684\) 1.08435 7.73727i 0.0414613 0.295842i
\(685\) −5.09300 −0.194594
\(686\) −13.6883 + 11.4858i −0.522622 + 0.438532i
\(687\) −27.2652 + 6.23706i −1.04023 + 0.237959i
\(688\) 0.147023 0.833809i 0.00560520 0.0317887i
\(689\) 6.82152 18.7420i 0.259879 0.714012i
\(690\) −19.8611 2.47910i −0.756099 0.0943779i
\(691\) 7.08458 + 12.2709i 0.269510 + 0.466805i 0.968735 0.248096i \(-0.0798049\pi\)
−0.699225 + 0.714901i \(0.746472\pi\)
\(692\) −4.03101 6.98192i −0.153236 0.265413i
\(693\) 12.1298 + 0.897132i 0.460771 + 0.0340792i
\(694\) −0.0362340 0.0995521i −0.00137542 0.00377895i
\(695\) 19.9972i 0.758537i
\(696\) 2.70646 + 53.7043i 0.102588 + 2.03565i
\(697\) −3.88461 10.6729i −0.147140 0.404264i
\(698\) 14.0266 + 5.10527i 0.530916 + 0.193238i
\(699\) −41.9228 + 17.6960i −1.58566 + 0.669322i
\(700\) 5.06653 + 1.84406i 0.191497 + 0.0696991i
\(701\) 3.74272 10.2830i 0.141360 0.388385i −0.848728 0.528830i \(-0.822631\pi\)
0.990088 + 0.140445i \(0.0448533\pi\)
\(702\) 18.9284 2.88125i 0.714406 0.108746i
\(703\) −0.216829 0.295695i −0.00817787 0.0111523i
\(704\) −25.5624 14.7585i −0.963421 0.556231i
\(705\) 30.2858 + 32.6084i 1.14063 + 1.22811i
\(706\) 16.9348 + 20.1821i 0.637350 + 0.759565i
\(707\) 22.6489 + 3.99362i 0.851800 + 0.150195i
\(708\) −0.840339 + 2.72903i −0.0315819 + 0.102563i
\(709\) −29.5033 24.7562i −1.10802 0.929739i −0.110081 0.993923i \(-0.535111\pi\)
−0.997938 + 0.0641840i \(0.979556\pi\)
\(710\) −50.4914 29.1512i −1.89491 1.09403i
\(711\) 37.2444 26.8319i 1.39677 1.00628i
\(712\) 2.86516 1.04283i 0.107376 0.0390818i
\(713\) 0.204762 1.16126i 0.00766841 0.0434897i
\(714\) −7.47644 11.5634i −0.279799 0.432751i
\(715\) 37.1278i 1.38850i
\(716\) −6.30252 + 2.29393i −0.235536 + 0.0857282i
\(717\) −1.69381 + 1.57316i −0.0632564 + 0.0587506i
\(718\) 0.865927 + 2.37911i 0.0323161 + 0.0887878i
\(719\) −10.1389 + 1.78776i −0.378116 + 0.0666721i −0.359476 0.933154i \(-0.617045\pi\)
−0.0186399 + 0.999826i \(0.505934\pi\)
\(720\) 24.9984 7.05971i 0.931634 0.263100i
\(721\) 3.23802i 0.120590i
\(722\) 8.61246 + 20.7880i 0.320522 + 0.773649i
\(723\) −18.6671 28.8715i −0.694236 1.07374i
\(724\) 15.0010 2.64508i 0.557509 0.0983038i
\(725\) −58.0589 + 48.7172i −2.15625 + 1.80931i
\(726\) −0.305455 0.723642i −0.0113365 0.0268569i
\(727\) −2.59990 14.7447i −0.0964248 0.546852i −0.994301 0.106605i \(-0.966002\pi\)
0.897877 0.440247i \(-0.145109\pi\)
\(728\) 11.3265 + 1.99717i 0.419788 + 0.0740199i
\(729\) 5.93120 26.3405i 0.219674 0.975573i
\(730\) 48.1984 27.8274i 1.78390 1.02994i
\(731\) 1.90266 + 0.335491i 0.0703726 + 0.0124086i
\(732\) 5.12464 + 0.639669i 0.189412 + 0.0236428i
\(733\) −20.9068 + 36.2116i −0.772209 + 1.33750i 0.164141 + 0.986437i \(0.447515\pi\)
−0.936350 + 0.351068i \(0.885819\pi\)
\(734\) −30.6322 −1.13065
\(735\) 31.3573 13.2362i 1.15663 0.488224i
\(736\) 8.83812 1.55840i 0.325777 0.0574433i
\(737\) −17.7215 14.8701i −0.652782 0.547749i
\(738\) −5.03868 + 5.17597i −0.185477 + 0.190530i
\(739\) −23.5043 8.55486i −0.864619 0.314696i −0.128633 0.991692i \(-0.541059\pi\)
−0.735986 + 0.676997i \(0.763281\pi\)
\(740\) −0.0888814 + 0.153947i −0.00326735 + 0.00565921i
\(741\) 18.2199 14.8265i 0.669323 0.544665i
\(742\) 4.56137 + 7.90053i 0.167453 + 0.290038i
\(743\) 1.54801 + 8.77919i 0.0567909 + 0.322077i 0.999947 0.0102723i \(-0.00326982\pi\)
−0.943156 + 0.332349i \(0.892159\pi\)
\(744\) 0.507835 + 2.21999i 0.0186181 + 0.0813889i
\(745\) −16.4004 + 5.96926i −0.600865 + 0.218697i
\(746\) −3.74921 4.46813i −0.137268 0.163590i
\(747\) −32.5114 2.40458i −1.18953 0.0879790i
\(748\) 5.63035 9.75206i 0.205866 0.356570i
\(749\) −10.1318 −0.370207
\(750\) 14.5195 + 10.9870i 0.530178 + 0.401188i
\(751\) 2.01949 2.40673i 0.0736922 0.0878229i −0.727939 0.685642i \(-0.759522\pi\)
0.801631 + 0.597819i \(0.203966\pi\)
\(752\) 15.4017 + 8.89215i 0.561641 + 0.324263i
\(753\) −0.371345 0.574341i −0.0135326 0.0209301i
\(754\) −23.9037 + 28.4873i −0.870522 + 1.03745i
\(755\) −7.80059 + 6.54547i −0.283893 + 0.238214i
\(756\) 1.94064 3.18616i 0.0705805 0.115880i
\(757\) −4.64050 26.3176i −0.168662 0.956528i −0.945208 0.326468i \(-0.894141\pi\)
0.776546 0.630060i \(-0.216970\pi\)
\(758\) 3.32425 + 3.96169i 0.120742 + 0.143895i
\(759\) 14.3497 + 7.34785i 0.520861 + 0.266710i
\(760\) 32.7937 34.2593i 1.18955 1.24271i
\(761\) −42.5583 + 24.5710i −1.54274 + 0.890699i −0.544071 + 0.839039i \(0.683118\pi\)
−0.998665 + 0.0516602i \(0.983549\pi\)
\(762\) −1.86897 8.17018i −0.0677057 0.295974i
\(763\) −3.42248 + 9.40318i −0.123902 + 0.340418i
\(764\) −3.18358 + 3.79404i −0.115178 + 0.137264i
\(765\) 16.1095 + 57.0437i 0.582441 + 2.06242i
\(766\) −5.86113 + 33.2401i −0.211771 + 1.20101i
\(767\) −7.43505 + 4.29263i −0.268464 + 0.154998i
\(768\) −18.8099 + 12.1617i −0.678744 + 0.438847i
\(769\) 34.0697 + 28.5878i 1.22858 + 1.03090i 0.998330 + 0.0577729i \(0.0183999\pi\)
0.230253 + 0.973131i \(0.426045\pi\)
\(770\) 13.0092 + 10.9160i 0.468818 + 0.393385i
\(771\) 15.5834 10.0756i 0.561223