Properties

Label 547.2.o.a.4.14
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.14
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30259 - 0.0149904i) q^{2} +(-0.660348 + 2.89317i) q^{3} +(-0.302966 - 0.00697409i) q^{4} +(0.484844 - 0.911015i) q^{5} +(0.903530 - 3.75871i) q^{6} +(-1.50505 - 3.70874i) q^{7} +(2.99833 + 0.103552i) q^{8} +(-5.23149 - 2.51935i) q^{9} +O(q^{10})\) \(q+(-1.30259 - 0.0149904i) q^{2} +(-0.660348 + 2.89317i) q^{3} +(-0.302966 - 0.00697409i) q^{4} +(0.484844 - 0.911015i) q^{5} +(0.903530 - 3.75871i) q^{6} +(-1.50505 - 3.70874i) q^{7} +(2.99833 + 0.103552i) q^{8} +(-5.23149 - 2.51935i) q^{9} +(-0.645207 + 1.17941i) q^{10} +(4.17748 + 4.34922i) q^{11} +(0.220240 - 0.871928i) q^{12} +(3.30939 + 0.498811i) q^{13} +(1.90486 + 4.85351i) q^{14} +(2.31556 + 2.00432i) q^{15} +(-3.29857 - 0.151943i) q^{16} +(-0.132367 + 0.785902i) q^{17} +(6.77670 + 3.36010i) q^{18} +(1.46916 - 0.792771i) q^{19} +(-0.153245 + 0.272625i) q^{20} +(11.7239 - 1.90532i) q^{21} +(-5.37633 - 5.72785i) q^{22} +(1.32633 + 0.310767i) q^{23} +(-2.27953 + 8.60630i) q^{24} +(2.19791 + 3.26393i) q^{25} +(-4.30329 - 0.699353i) q^{26} +(5.19277 - 6.51153i) q^{27} +(0.430114 + 1.13412i) q^{28} +(-2.94406 - 1.67724i) q^{29} +(-2.98617 - 2.64551i) q^{30} +(-4.53246 - 1.63002i) q^{31} +(-1.69590 - 0.0976871i) q^{32} +(-15.3416 + 9.21418i) q^{33} +(0.184201 - 1.02172i) q^{34} +(-4.10843 - 0.427034i) q^{35} +(1.56739 + 0.799763i) q^{36} +(-0.0216091 + 0.0174370i) q^{37} +(-1.92559 + 1.01063i) q^{38} +(-3.62850 + 9.24526i) q^{39} +(1.54806 - 2.68131i) q^{40} +(2.89602 + 5.01605i) q^{41} +(-15.2999 + 2.30609i) q^{42} +(-0.311340 + 3.17278i) q^{43} +(-1.23530 - 1.34680i) q^{44} +(-4.83162 + 3.54447i) q^{45} +(-1.72301 - 0.424683i) q^{46} +(13.0884 - 1.05661i) q^{47} +(2.61780 - 9.44301i) q^{48} +(-6.46912 + 6.28564i) q^{49} +(-2.81404 - 4.28450i) q^{50} +(-2.18634 - 0.901930i) q^{51} +(-0.999154 - 0.174203i) q^{52} +(-9.31081 + 3.22796i) q^{53} +(-6.86164 + 8.40399i) q^{54} +(5.98763 - 1.69706i) q^{55} +(-4.12858 - 11.2759i) q^{56} +(1.32347 + 4.77404i) q^{57} +(3.80975 + 2.22888i) q^{58} +(1.71846 - 0.732169i) q^{59} +(-0.687557 - 0.623391i) q^{60} +(-5.15286 + 2.40884i) q^{61} +(5.87948 + 2.19118i) q^{62} +(-1.46996 + 23.1940i) q^{63} +(8.79600 + 0.608295i) q^{64} +(2.05896 - 2.77306i) q^{65} +(20.1219 - 11.7723i) q^{66} +(11.3299 + 11.0085i) q^{67} +(0.0455837 - 0.237178i) q^{68} +(-1.77495 + 3.63210i) q^{69} +(5.34518 + 0.617835i) q^{70} +(13.1579 - 2.60743i) q^{71} +(-15.4248 - 8.09558i) q^{72} +(-3.39599 + 2.93954i) q^{73} +(0.0284091 - 0.0223893i) q^{74} +(-10.8945 + 4.20360i) q^{75} +(-0.450634 + 0.229936i) q^{76} +(9.84279 - 22.0390i) q^{77} +(4.86502 - 11.9884i) q^{78} +(2.04013 + 1.46083i) q^{79} +(-1.73771 + 2.93138i) q^{80} +(4.54904 + 5.70432i) q^{81} +(-3.69712 - 6.57725i) q^{82} +(6.69869 + 4.23600i) q^{83} +(-3.56522 + 0.495482i) q^{84} +(0.651791 + 0.501628i) q^{85} +(0.453108 - 4.12815i) q^{86} +(6.79666 - 7.41012i) q^{87} +(12.0751 + 13.4730i) q^{88} +(1.06205 + 12.2749i) q^{89} +(6.34674 - 4.54455i) q^{90} +(-3.13085 - 13.0244i) q^{91} +(-0.399667 - 0.103402i) q^{92} +(7.70893 - 12.0368i) q^{93} +(-17.0646 + 1.18012i) q^{94} +(-0.00991279 - 1.72280i) q^{95} +(1.40251 - 4.84203i) q^{96} +(1.88069 + 14.1282i) q^{97} +(8.52081 - 8.09061i) q^{98} +(-10.8972 - 33.2774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30259 0.0149904i −0.921067 0.0105998i −0.450319 0.892868i \(-0.648690\pi\)
−0.470748 + 0.882268i \(0.656016\pi\)
\(3\) −0.660348 + 2.89317i −0.381252 + 1.67038i 0.312311 + 0.949980i \(0.398897\pi\)
−0.693564 + 0.720395i \(0.743960\pi\)
\(4\) −0.302966 0.00697409i −0.151483 0.00348705i
\(5\) 0.484844 0.911015i 0.216829 0.407418i −0.750527 0.660839i \(-0.770200\pi\)
0.967356 + 0.253421i \(0.0815558\pi\)
\(6\) 0.903530 3.75871i 0.368865 1.53449i
\(7\) −1.50505 3.70874i −0.568856 1.40177i −0.890532 0.454921i \(-0.849667\pi\)
0.321676 0.946850i \(-0.395754\pi\)
\(8\) 2.99833 + 0.103552i 1.06007 + 0.0366113i
\(9\) −5.23149 2.51935i −1.74383 0.839785i
\(10\) −0.645207 + 1.17941i −0.204032 + 0.372961i
\(11\) 4.17748 + 4.34922i 1.25956 + 1.31134i 0.930163 + 0.367146i \(0.119665\pi\)
0.329394 + 0.944193i \(0.393156\pi\)
\(12\) 0.220240 0.871928i 0.0635779 0.251704i
\(13\) 3.30939 + 0.498811i 0.917861 + 0.138345i 0.590948 0.806709i \(-0.298754\pi\)
0.326912 + 0.945055i \(0.393992\pi\)
\(14\) 1.90486 + 4.85351i 0.509096 + 1.29715i
\(15\) 2.31556 + 2.00432i 0.597875 + 0.517514i
\(16\) −3.29857 0.151943i −0.824643 0.0379857i
\(17\) −0.132367 + 0.785902i −0.0321038 + 0.190609i −0.997547 0.0700058i \(-0.977698\pi\)
0.965443 + 0.260615i \(0.0839253\pi\)
\(18\) 6.77670 + 3.36010i 1.59728 + 0.791982i
\(19\) 1.46916 0.792771i 0.337049 0.181874i −0.297569 0.954700i \(-0.596176\pi\)
0.634618 + 0.772826i \(0.281158\pi\)
\(20\) −0.153245 + 0.272625i −0.0342665 + 0.0609608i
\(21\) 11.7239 1.90532i 2.55836 0.415774i
\(22\) −5.37633 5.72785i −1.14624 1.22118i
\(23\) 1.32633 + 0.310767i 0.276560 + 0.0647994i 0.364094 0.931362i \(-0.381379\pi\)
−0.0875343 + 0.996162i \(0.527899\pi\)
\(24\) −2.27953 + 8.60630i −0.465308 + 1.75675i
\(25\) 2.19791 + 3.26393i 0.439582 + 0.652786i
\(26\) −4.30329 0.699353i −0.843945 0.137154i
\(27\) 5.19277 6.51153i 0.999350 1.25314i
\(28\) 0.430114 + 1.13412i 0.0812839 + 0.214328i
\(29\) −2.94406 1.67724i −0.546698 0.311456i 0.196526 0.980499i \(-0.437034\pi\)
−0.743224 + 0.669043i \(0.766704\pi\)
\(30\) −2.98617 2.64551i −0.545197 0.483003i
\(31\) −4.53246 1.63002i −0.814054 0.292760i −0.101910 0.994794i \(-0.532495\pi\)
−0.712144 + 0.702034i \(0.752276\pi\)
\(32\) −1.69590 0.0976871i −0.299796 0.0172688i
\(33\) −15.3416 + 9.21418i −2.67064 + 1.60398i
\(34\) 0.184201 1.02172i 0.0315901 0.175224i
\(35\) −4.10843 0.427034i −0.694451 0.0721819i
\(36\) 1.56739 + 0.799763i 0.261232 + 0.133294i
\(37\) −0.0216091 + 0.0174370i −0.00355252 + 0.00286663i −0.629753 0.776796i \(-0.716844\pi\)
0.626200 + 0.779662i \(0.284609\pi\)
\(38\) −1.92559 + 1.01063i −0.312372 + 0.163946i
\(39\) −3.62850 + 9.24526i −0.581025 + 1.48043i
\(40\) 1.54806 2.68131i 0.244769 0.423953i
\(41\) 2.89602 + 5.01605i 0.452282 + 0.783375i 0.998527 0.0542498i \(-0.0172767\pi\)
−0.546245 + 0.837625i \(0.683943\pi\)
\(42\) −15.2999 + 2.30609i −2.36083 + 0.355838i
\(43\) −0.311340 + 3.17278i −0.0474788 + 0.483844i 0.941629 + 0.336652i \(0.109295\pi\)
−0.989108 + 0.147192i \(0.952976\pi\)
\(44\) −1.23530 1.34680i −0.186229 0.203038i
\(45\) −4.83162 + 3.54447i −0.720256 + 0.528379i
\(46\) −1.72301 0.424683i −0.254043 0.0626161i
\(47\) 13.0884 1.05661i 1.90914 0.154122i 0.931410 0.363973i \(-0.118580\pi\)
0.977733 + 0.209851i \(0.0672978\pi\)
\(48\) 2.61780 9.44301i 0.377847 1.36298i
\(49\) −6.46912 + 6.28564i −0.924161 + 0.897948i
\(50\) −2.81404 4.28450i −0.397965 0.605920i
\(51\) −2.18634 0.901930i −0.306149 0.126296i
\(52\) −0.999154 0.174203i −0.138558 0.0241576i
\(53\) −9.31081 + 3.22796i −1.27894 + 0.443394i −0.880607 0.473848i \(-0.842865\pi\)
−0.398331 + 0.917242i \(0.630411\pi\)
\(54\) −6.86164 + 8.40399i −0.933751 + 1.14364i
\(55\) 5.98763 1.69706i 0.807371 0.228831i
\(56\) −4.12858 11.2759i −0.551705 1.50680i
\(57\) 1.32347 + 4.77404i 0.175297 + 0.632337i
\(58\) 3.80975 + 2.22888i 0.500244 + 0.292667i
\(59\) 1.71846 0.732169i 0.223725 0.0953203i −0.277196 0.960813i \(-0.589405\pi\)
0.500921 + 0.865493i \(0.332995\pi\)
\(60\) −0.687557 0.623391i −0.0887632 0.0804794i
\(61\) −5.15286 + 2.40884i −0.659756 + 0.308420i −0.724290 0.689496i \(-0.757832\pi\)
0.0645337 + 0.997916i \(0.479444\pi\)
\(62\) 5.87948 + 2.19118i 0.746695 + 0.278280i
\(63\) −1.46996 + 23.1940i −0.185198 + 2.92217i
\(64\) 8.79600 + 0.608295i 1.09950 + 0.0760369i
\(65\) 2.05896 2.77306i 0.255383 0.343956i
\(66\) 20.1219 11.7723i 2.47684 1.44907i
\(67\) 11.3299 + 11.0085i 1.38416 + 1.34490i 0.874909 + 0.484287i \(0.160921\pi\)
0.509254 + 0.860616i \(0.329921\pi\)
\(68\) 0.0455837 0.237178i 0.00552784 0.0287621i
\(69\) −1.77495 + 3.63210i −0.213678 + 0.437254i
\(70\) 5.34518 + 0.617835i 0.638871 + 0.0738454i
\(71\) 13.1579 2.60743i 1.56155 0.309445i 0.663106 0.748525i \(-0.269238\pi\)
0.898448 + 0.439080i \(0.144696\pi\)
\(72\) −15.4248 8.09558i −1.81783 0.954073i
\(73\) −3.39599 + 2.93954i −0.397471 + 0.344047i −0.830188 0.557483i \(-0.811767\pi\)
0.432717 + 0.901530i \(0.357555\pi\)
\(74\) 0.0284091 0.0223893i 0.00330249 0.00260271i
\(75\) −10.8945 + 4.20360i −1.25799 + 0.485390i
\(76\) −0.450634 + 0.229936i −0.0516913 + 0.0263755i
\(77\) 9.84279 22.0390i 1.12169 2.51157i
\(78\) 4.86502 11.9884i 0.550855 1.35741i
\(79\) 2.04013 + 1.46083i 0.229532 + 0.164356i 0.691123 0.722738i \(-0.257116\pi\)
−0.461590 + 0.887093i \(0.652721\pi\)
\(80\) −1.73771 + 2.93138i −0.194282 + 0.327738i
\(81\) 4.54904 + 5.70432i 0.505449 + 0.633813i
\(82\) −3.69712 6.57725i −0.408278 0.726335i
\(83\) 6.69869 + 4.23600i 0.735277 + 0.464961i 0.848894 0.528564i \(-0.177269\pi\)
−0.113617 + 0.993525i \(0.536244\pi\)
\(84\) −3.56522 + 0.495482i −0.388998 + 0.0540616i
\(85\) 0.651791 + 0.501628i 0.0706966 + 0.0544092i
\(86\) 0.453108 4.12815i 0.0488598 0.445150i
\(87\) 6.79666 7.41012i 0.728678 0.794448i
\(88\) 12.0751 + 13.4730i 1.28721 + 1.43622i
\(89\) 1.06205 + 12.2749i 0.112578 + 1.30114i 0.810828 + 0.585284i \(0.199017\pi\)
−0.698251 + 0.715853i \(0.746038\pi\)
\(90\) 6.34674 4.54455i 0.669005 0.479038i
\(91\) −3.13085 13.0244i −0.328202 1.36533i
\(92\) −0.399667 0.103402i −0.0416682 0.0107804i
\(93\) 7.70893 12.0368i 0.799379 1.24816i
\(94\) −17.0646 + 1.18012i −1.76008 + 0.121720i
\(95\) −0.00991279 1.72280i −0.00101703 0.176755i
\(96\) 1.40251 4.84203i 0.143143 0.494188i
\(97\) 1.88069 + 14.1282i 0.190956 + 1.43450i 0.779684 + 0.626173i \(0.215379\pi\)
−0.588729 + 0.808331i \(0.700371\pi\)
\(98\) 8.52081 8.09061i 0.860732 0.817275i
\(99\) −10.8972 33.2774i −1.09521 3.34451i
\(100\) −0.643128 1.00419i −0.0643128 0.100419i
\(101\) −10.7025 14.4144i −1.06494 1.43429i −0.893483 0.449097i \(-0.851746\pi\)
−0.171457 0.985192i \(-0.554848\pi\)
\(102\) 2.83438 + 1.20762i 0.280645 + 0.119572i
\(103\) 6.48345 + 14.0797i 0.638833 + 1.38731i 0.905842 + 0.423616i \(0.139239\pi\)
−0.267009 + 0.963694i \(0.586035\pi\)
\(104\) 9.87099 + 1.83829i 0.967930 + 0.180259i
\(105\) 3.94848 11.6044i 0.385332 1.13247i
\(106\) 12.1765 4.06512i 1.18269 0.394839i
\(107\) 2.40546 0.592892i 0.232544 0.0573170i −0.121321 0.992613i \(-0.538713\pi\)
0.353866 + 0.935296i \(0.384867\pi\)
\(108\) −1.61864 + 1.93656i −0.155754 + 0.186345i
\(109\) −0.376265 0.727050i −0.0360397 0.0696387i 0.869413 0.494087i \(-0.164497\pi\)
−0.905452 + 0.424448i \(0.860468\pi\)
\(110\) −7.82483 + 2.12080i −0.746069 + 0.202211i
\(111\) −0.0361789 0.0740335i −0.00343395 0.00702695i
\(112\) 4.40100 + 12.4622i 0.415856 + 1.17757i
\(113\) −0.260366 9.04770i −0.0244932 0.851136i −0.916716 0.399540i \(-0.869170\pi\)
0.892223 0.451596i \(-0.149145\pi\)
\(114\) −1.65236 6.23844i −0.154758 0.584283i
\(115\) 0.926178 1.05764i 0.0863666 0.0986252i
\(116\) 0.880252 + 0.528679i 0.0817294 + 0.0490866i
\(117\) −16.0564 10.9471i −1.48441 1.01206i
\(118\) −2.24942 + 0.927952i −0.207076 + 0.0854249i
\(119\) 3.11392 0.691907i 0.285453 0.0634270i
\(120\) 6.73525 + 6.24940i 0.614841 + 0.570489i
\(121\) −1.02143 + 25.3465i −0.0928570 + 2.30422i
\(122\) 6.74815 3.06047i 0.610949 0.277082i
\(123\) −16.4247 + 5.06635i −1.48096 + 0.456817i
\(124\) 1.36181 + 0.525450i 0.122294 + 0.0471868i
\(125\) 9.17148 0.953292i 0.820322 0.0852650i
\(126\) 2.26244 30.1901i 0.201554 2.68955i
\(127\) −2.10532 + 5.74997i −0.186817 + 0.510227i −0.997125 0.0757765i \(-0.975856\pi\)
0.810308 + 0.586004i \(0.199300\pi\)
\(128\) −8.06201 0.650833i −0.712588 0.0575261i
\(129\) −8.97381 2.99590i −0.790100 0.263774i
\(130\) −2.72354 + 3.58129i −0.238871 + 0.314100i
\(131\) −16.1727 3.39872i −1.41301 0.296947i −0.564198 0.825640i \(-0.690814\pi\)
−0.848814 + 0.528692i \(0.822683\pi\)
\(132\) 4.71225 2.68459i 0.410149 0.233663i
\(133\) −5.15134 4.25557i −0.446678 0.369005i
\(134\) −14.5931 14.5094i −1.26065 1.25342i
\(135\) −3.41442 7.88777i −0.293866 0.678871i
\(136\) −0.478262 + 2.34268i −0.0410106 + 0.200883i
\(137\) 8.58636 0.197653i 0.733582 0.0168866i 0.345383 0.938462i \(-0.387749\pi\)
0.388200 + 0.921575i \(0.373097\pi\)
\(138\) 2.36647 4.70452i 0.201447 0.400475i
\(139\) −1.01317 0.459502i −0.0859362 0.0389745i 0.369606 0.929188i \(-0.379493\pi\)
−0.455543 + 0.890214i \(0.650555\pi\)
\(140\) 1.24174 + 0.158029i 0.104946 + 0.0133559i
\(141\) −5.58597 + 38.5648i −0.470424 + 3.24774i
\(142\) −17.1784 + 3.19916i −1.44158 + 0.268468i
\(143\) 11.6555 + 16.4770i 0.974681 + 1.37788i
\(144\) 16.8737 + 9.10516i 1.40614 + 0.758763i
\(145\) −2.95540 + 1.86888i −0.245433 + 0.155202i
\(146\) 4.46764 3.77809i 0.369744 0.312677i
\(147\) −13.9136 22.8670i −1.14757 1.88604i
\(148\) 0.00666843 0.00513213i 0.000548142 0.000421858i
\(149\) −10.7193 + 10.9059i −0.878156 + 0.893447i −0.995017 0.0997016i \(-0.968211\pi\)
0.116861 + 0.993148i \(0.462717\pi\)
\(150\) 14.2540 5.31224i 1.16384 0.433742i
\(151\) −2.59069 8.57364i −0.210827 0.697713i −0.996835 0.0794965i \(-0.974669\pi\)
0.786008 0.618216i \(-0.212144\pi\)
\(152\) 4.48711 2.22485i 0.363953 0.180459i
\(153\) 2.67244 3.77796i 0.216054 0.305430i
\(154\) −13.1514 + 28.5601i −1.05977 + 2.30144i
\(155\) −3.68251 + 3.33883i −0.295786 + 0.268182i
\(156\) 1.16379 2.77569i 0.0931777 0.222233i
\(157\) 0.625729 + 0.748626i 0.0499386 + 0.0597469i 0.791663 0.610958i \(-0.209215\pi\)
−0.741725 + 0.670704i \(0.765992\pi\)
\(158\) −2.63554 1.93343i −0.209673 0.153816i
\(159\) −3.19067 29.0694i −0.253036 2.30535i
\(160\) −0.911241 + 1.49763i −0.0720399 + 0.118398i
\(161\) −0.843648 5.38675i −0.0664888 0.424535i
\(162\) −5.84001 7.49856i −0.458834 0.589142i
\(163\) 6.45458 20.5056i 0.505562 1.60612i −0.261946 0.965082i \(-0.584364\pi\)
0.767508 0.641039i \(-0.221496\pi\)
\(164\) −0.842412 1.53989i −0.0657813 0.120245i
\(165\) 0.955962 + 18.4439i 0.0744216 + 1.43586i
\(166\) −8.66212 5.61816i −0.672311 0.436054i
\(167\) −0.00876999 + 0.508016i −0.000678642 + 0.0393115i 0.999318 + 0.0369130i \(0.0117525\pi\)
−0.999997 + 0.00239843i \(0.999237\pi\)
\(168\) 35.3493 4.49872i 2.72726 0.347084i
\(169\) −1.71917 0.530295i −0.132244 0.0407919i
\(170\) −0.841494 0.663184i −0.0645396 0.0508639i
\(171\) −9.68317 + 0.446038i −0.740491 + 0.0341094i
\(172\) 0.116452 0.959073i 0.00887942 0.0731286i
\(173\) 18.5506 12.3373i 1.41038 0.937990i 0.410724 0.911760i \(-0.365276\pi\)
0.999656 0.0262301i \(-0.00835025\pi\)
\(174\) −8.96431 + 9.55043i −0.679583 + 0.724016i
\(175\) 8.79710 13.0639i 0.664999 0.987534i
\(176\) −13.1189 14.9809i −0.988874 1.12923i
\(177\) 0.983508 + 5.45530i 0.0739250 + 0.410046i
\(178\) −1.19941 16.0050i −0.0898997 1.19963i
\(179\) 16.9088 + 4.79242i 1.26382 + 0.358202i 0.837535 0.546384i \(-0.183996\pi\)
0.426290 + 0.904587i \(0.359820\pi\)
\(180\) 1.48854 1.04016i 0.110949 0.0775289i
\(181\) −3.89412 19.0746i −0.289447 1.41781i −0.821071 0.570826i \(-0.806623\pi\)
0.531624 0.846981i \(-0.321582\pi\)
\(182\) 3.88296 + 17.0123i 0.287824 + 1.26104i
\(183\) −3.56650 16.4988i −0.263644 1.21963i
\(184\) 3.94460 + 1.06913i 0.290800 + 0.0788170i
\(185\) 0.00540837 + 0.0281405i 0.000397631 + 0.00206893i
\(186\) −10.2220 + 15.5634i −0.749512 + 1.14117i
\(187\) −3.97102 + 2.70740i −0.290390 + 0.197984i
\(188\) −3.97271 + 0.228836i −0.289740 + 0.0166896i
\(189\) −31.9649 9.45845i −2.32511 0.688001i
\(190\) −0.0129131 + 2.24424i −0.000936816 + 0.162814i
\(191\) −0.902991 14.2480i −0.0653381 1.03095i −0.887237 0.461313i \(-0.847378\pi\)
0.821899 0.569633i \(-0.192915\pi\)
\(192\) −7.56833 + 25.0467i −0.546197 + 1.80759i
\(193\) 0.126378 + 0.750342i 0.00909689 + 0.0540108i 0.990290 0.139020i \(-0.0443953\pi\)
−0.981193 + 0.193031i \(0.938168\pi\)
\(194\) −2.23798 18.4314i −0.160677 1.32330i
\(195\) 6.66332 + 7.78812i 0.477170 + 0.557719i
\(196\) 2.00376 1.85922i 0.143126 0.132801i
\(197\) 12.7341 18.4486i 0.907269 1.31441i −0.0417312 0.999129i \(-0.513287\pi\)
0.949000 0.315277i \(-0.102097\pi\)
\(198\) 13.6957 + 43.5101i 0.973314 + 3.09213i
\(199\) 1.22395 1.27426i 0.0867632 0.0903300i −0.676405 0.736530i \(-0.736463\pi\)
0.763168 + 0.646200i \(0.223643\pi\)
\(200\) 6.25206 + 10.0139i 0.442087 + 0.708092i
\(201\) −39.3312 + 25.5098i −2.77421 + 1.79932i
\(202\) 13.7249 + 18.9364i 0.965678 + 1.33236i
\(203\) −1.78949 + 13.4431i −0.125598 + 0.943519i
\(204\) 0.656097 + 0.288502i 0.0459360 + 0.0201992i
\(205\) 5.97381 0.206316i 0.417229 0.0144097i
\(206\) −8.23418 18.4372i −0.573703 1.28458i
\(207\) −6.15578 4.96728i −0.427856 0.345250i
\(208\) −10.8405 2.14820i −0.751652 0.148951i
\(209\) 9.58532 + 3.07791i 0.663030 + 0.212904i
\(210\) −5.31718 + 15.0566i −0.366921 + 1.03900i
\(211\) −14.2076 + 1.64222i −0.978090 + 0.113055i −0.588990 0.808141i \(-0.700474\pi\)
−0.389100 + 0.921195i \(0.627214\pi\)
\(212\) 2.84337 0.913026i 0.195283 0.0627069i
\(213\) −1.14504 + 39.7899i −0.0784567 + 2.72636i
\(214\) −3.14220 + 0.736234i −0.214796 + 0.0503279i
\(215\) 2.73950 + 1.82194i 0.186832 + 0.124255i
\(216\) 16.2439 18.9860i 1.10526 1.29183i
\(217\) 0.776271 + 19.2630i 0.0526967 + 1.30766i
\(218\) 0.479219 + 0.952685i 0.0324568 + 0.0645239i
\(219\) −6.26205 11.7663i −0.423150 0.795094i
\(220\) −1.82588 + 0.472392i −0.123101 + 0.0318487i
\(221\) −0.830072 + 2.53483i −0.0558367 + 0.170511i
\(222\) 0.0460163 + 0.0969773i 0.00308841 + 0.00650869i
\(223\) 2.66834 + 3.50869i 0.178685 + 0.234959i 0.876598 0.481223i \(-0.159807\pi\)
−0.697913 + 0.716182i \(0.745888\pi\)
\(224\) 2.19012 + 6.43668i 0.146334 + 0.430068i
\(225\) −3.27534 22.6125i −0.218356 1.50750i
\(226\) 0.203521 + 11.7893i 0.0135380 + 0.784213i
\(227\) 11.8464 18.9744i 0.786273 1.25937i −0.175216 0.984530i \(-0.556062\pi\)
0.961489 0.274845i \(-0.0886264\pi\)
\(228\) −0.367670 1.45560i −0.0243496 0.0963996i
\(229\) 0.0802691 + 0.818001i 0.00530433 + 0.0540550i 0.997505 0.0705957i \(-0.0224900\pi\)
−0.992201 + 0.124651i \(0.960219\pi\)
\(230\) −1.22228 + 1.36378i −0.0805948 + 0.0899250i
\(231\) 57.2629 + 43.0303i 3.76762 + 2.83119i
\(232\) −8.65357 5.33378i −0.568135 0.350180i
\(233\) 1.55387 + 1.90315i 0.101798 + 0.124679i 0.822991 0.568054i \(-0.192304\pi\)
−0.721194 + 0.692734i \(0.756406\pi\)
\(234\) 20.7507 + 14.5002i 1.35652 + 0.947906i
\(235\) 5.38325 12.4360i 0.351165 0.811238i
\(236\) −0.525742 + 0.209837i −0.0342229 + 0.0136593i
\(237\) −5.57362 + 4.93780i −0.362046 + 0.320744i
\(238\) −4.06652 + 0.854589i −0.263594 + 0.0553948i
\(239\) 2.36265 4.97919i 0.152827 0.322077i −0.812568 0.582866i \(-0.801931\pi\)
0.965396 + 0.260789i \(0.0839826\pi\)
\(240\) −7.33350 6.96324i −0.473375 0.449475i
\(241\) 7.29464 10.0645i 0.469889 0.648314i −0.507029 0.861929i \(-0.669256\pi\)
0.976918 + 0.213615i \(0.0685238\pi\)
\(242\) 1.71045 33.0006i 0.109952 2.12136i
\(243\) 3.00378 1.44654i 0.192692 0.0927958i
\(244\) 1.57794 0.693859i 0.101017 0.0444198i
\(245\) 2.58980 + 8.94102i 0.165456 + 0.571221i
\(246\) 21.4705 6.35314i 1.36891 0.405061i
\(247\) 5.25747 1.89076i 0.334525 0.120306i
\(248\) −13.4210 5.35667i −0.852234 0.340149i
\(249\) −16.6789 + 16.5833i −1.05699 + 1.05092i
\(250\) −11.9609 + 1.10426i −0.756475 + 0.0698395i
\(251\) −13.6143 + 10.2305i −0.859325 + 0.645741i −0.936265 0.351295i \(-0.885742\pi\)
0.0769396 + 0.997036i \(0.475485\pi\)
\(252\) 0.607105 7.01673i 0.0382440 0.442013i
\(253\) 4.18914 + 7.06674i 0.263369 + 0.444282i
\(254\) 2.82855 7.45827i 0.177479 0.467973i
\(255\) −1.88171 + 1.55450i −0.117837 + 0.0973463i
\(256\) −7.06763 0.652500i −0.441727 0.0407812i
\(257\) −13.9736 + 8.61286i −0.871647 + 0.537255i −0.886550 0.462634i \(-0.846905\pi\)
0.0149024 + 0.999889i \(0.495256\pi\)
\(258\) 11.6442 + 4.03694i 0.724939 + 0.251329i
\(259\) 0.0971923 + 0.0538989i 0.00603923 + 0.00334912i
\(260\) −0.643135 + 0.825784i −0.0398855 + 0.0512129i
\(261\) 11.1763 + 16.1916i 0.691793 + 1.00224i
\(262\) 21.0153 + 4.66956i 1.29833 + 0.288486i
\(263\) 12.4052 2.16285i 0.764938 0.133367i 0.224183 0.974547i \(-0.428029\pi\)
0.540755 + 0.841180i \(0.318139\pi\)
\(264\) −46.9534 + 26.0385i −2.88978 + 1.60256i
\(265\) −1.57357 + 10.0473i −0.0966636 + 0.617203i
\(266\) 6.64627 + 5.62047i 0.407509 + 0.344613i
\(267\) −36.2148 5.03300i −2.21631 0.308015i
\(268\) −3.35579 3.41422i −0.204987 0.208557i
\(269\) 6.84654 + 3.20059i 0.417441 + 0.195143i 0.620814 0.783958i \(-0.286802\pi\)
−0.203373 + 0.979101i \(0.565190\pi\)
\(270\) 4.32933 + 10.3257i 0.263475 + 0.628401i
\(271\) −12.3987 + 23.9578i −0.753169 + 1.45533i 0.132582 + 0.991172i \(0.457673\pi\)
−0.885751 + 0.464160i \(0.846356\pi\)
\(272\) 0.556035 2.57224i 0.0337146 0.155965i
\(273\) 39.7493 0.457442i 2.40574 0.0276857i
\(274\) −11.1874 + 0.128747i −0.675858 + 0.00777789i
\(275\) −5.01383 + 23.1942i −0.302345 + 1.39866i
\(276\) 0.563079 1.08802i 0.0338934 0.0654914i
\(277\) −0.201327 0.480175i −0.0120966 0.0288509i 0.916058 0.401045i \(-0.131353\pi\)
−0.928155 + 0.372194i \(0.878606\pi\)
\(278\) 1.31286 + 0.613729i 0.0787399 + 0.0368090i
\(279\) 19.6049 + 19.9463i 1.17372 + 1.19415i
\(280\) −12.2742 1.70582i −0.733523 0.101942i
\(281\) −11.4282 9.66433i −0.681748 0.576526i 0.236932 0.971526i \(-0.423858\pi\)
−0.918681 + 0.395000i \(0.870744\pi\)
\(282\) 7.85431 50.1503i 0.467717 2.98640i
\(283\) 2.07865 1.15274i 0.123563 0.0685232i −0.421984 0.906603i \(-0.638666\pi\)
0.545547 + 0.838080i \(0.316322\pi\)
\(284\) −4.00458 + 0.698198i −0.237628 + 0.0414304i
\(285\) 4.99090 + 1.10897i 0.295635 + 0.0656895i
\(286\) −14.9353 21.6375i −0.883141 1.27945i
\(287\) 14.2446 18.2900i 0.840830 1.07962i
\(288\) 8.62598 + 4.78362i 0.508291 + 0.281878i
\(289\) 15.4620 + 5.36050i 0.909528 + 0.315324i
\(290\) 3.87768 2.39008i 0.227705 0.140350i
\(291\) −42.1173 3.88837i −2.46896 0.227940i
\(292\) 1.04937 0.866895i 0.0614098 0.0507312i
\(293\) −3.62735 + 9.56455i −0.211912 + 0.558767i −0.998257 0.0590216i \(-0.981202\pi\)
0.786344 + 0.617788i \(0.211971\pi\)
\(294\) 17.7808 + 29.9948i 1.03700 + 1.74933i
\(295\) 0.166169 1.92053i 0.00967475 0.111818i
\(296\) −0.0665968 + 0.0500443i −0.00387086 + 0.00290876i
\(297\) 50.0128 4.61729i 2.90204 0.267923i
\(298\) 14.1262 14.0452i 0.818311 0.813616i
\(299\) 4.23435 + 1.69004i 0.244879 + 0.0977376i
\(300\) 3.32998 1.19757i 0.192257 0.0691416i
\(301\) 12.2356 3.62052i 0.705248 0.208683i
\(302\) 3.24607 + 11.2067i 0.186790 + 0.644875i
\(303\) 48.7708 21.4457i 2.80181 1.23202i
\(304\) −4.96659 + 2.39178i −0.284853 + 0.137178i
\(305\) −0.303845 + 5.86224i −0.0173981 + 0.335671i
\(306\) −3.53772 + 4.88105i −0.202238 + 0.279031i
\(307\) −23.3221 22.1446i −1.33106 1.26386i −0.938999 0.343919i \(-0.888245\pi\)
−0.392062 0.919939i \(-0.628238\pi\)
\(308\) −3.13573 + 6.60841i −0.178675 + 0.376549i
\(309\) −45.0162 + 9.46026i −2.56088 + 0.538176i
\(310\) 4.84683 4.29392i 0.275281 0.243878i
\(311\) −11.6682 + 4.65707i −0.661641 + 0.264078i −0.677198 0.735801i \(-0.736806\pi\)
0.0155574 + 0.999879i \(0.495048\pi\)
\(312\) −11.8368 + 27.3446i −0.670126 + 1.54808i
\(313\) 10.6922 + 7.47150i 0.604359 + 0.422314i 0.834629 0.550813i \(-0.185682\pi\)
−0.230269 + 0.973127i \(0.573961\pi\)
\(314\) −0.803843 0.984529i −0.0453635 0.0555602i
\(315\) 20.4174 + 12.5846i 1.15039 + 0.709063i
\(316\) −0.607902 0.456808i −0.0341971 0.0256975i
\(317\) −20.8313 + 23.2429i −1.17000 + 1.30545i −0.226530 + 0.974004i \(0.572738\pi\)
−0.943474 + 0.331447i \(0.892463\pi\)
\(318\) 3.72036 + 37.9132i 0.208627 + 2.12607i
\(319\) −5.00406 19.8110i −0.280174 1.10920i
\(320\) 4.81885 7.71836i 0.269382 0.431469i
\(321\) 0.126901 + 7.35092i 0.00708290 + 0.410288i
\(322\) 1.01817 + 7.02935i 0.0567406 + 0.391730i
\(323\) 0.428571 + 1.25955i 0.0238463 + 0.0700834i
\(324\) −1.33842 1.75994i −0.0743568 0.0977744i
\(325\) 5.64566 + 11.8980i 0.313165 + 0.659981i
\(326\) −8.71503 + 26.6135i −0.482681 + 1.47399i
\(327\) 2.35195 0.608496i 0.130063 0.0336499i
\(328\) 8.16378 + 15.3396i 0.450769 + 0.846990i
\(329\) −23.6174 46.9513i −1.30207 2.58851i
\(330\) −0.968742 24.0391i −0.0533275 1.32331i
\(331\) 15.1808 17.7434i 0.834413 0.975267i −0.165527 0.986205i \(-0.552932\pi\)
0.999940 + 0.0109386i \(0.00348194\pi\)
\(332\) −1.99993 1.33008i −0.109761 0.0729976i
\(333\) 0.156978 0.0367808i 0.00860234 0.00201557i
\(334\) 0.0190390 0.661603i 0.00104177 0.0362013i
\(335\) 15.5221 4.98427i 0.848064 0.272320i
\(336\) −38.9616 + 4.50347i −2.12553 + 0.245684i
\(337\) −0.372499 + 1.05480i −0.0202913 + 0.0574584i −0.952637 0.304109i \(-0.901641\pi\)
0.932346 + 0.361568i \(0.117758\pi\)
\(338\) 2.23142 + 0.716525i 0.121373 + 0.0389738i
\(339\) 26.3485 + 5.22134i 1.43105 + 0.283584i
\(340\) −0.193972 0.156522i −0.0105196 0.00848859i
\(341\) −11.8450 26.5220i −0.641440 1.43625i
\(342\) 12.6198 0.435848i 0.682403 0.0235680i
\(343\) 7.40078 + 3.25430i 0.399604 + 0.175716i
\(344\) −1.26205 + 9.48079i −0.0680450 + 0.511170i
\(345\) 2.44833 + 3.37800i 0.131814 + 0.181866i
\(346\) −24.3487 + 15.7923i −1.30900 + 0.849002i
\(347\) 12.6523 + 20.2652i 0.679212 + 1.08790i 0.990491 + 0.137577i \(0.0439314\pi\)
−0.311279 + 0.950319i \(0.600757\pi\)
\(348\) −2.11083 + 2.19761i −0.113153 + 0.117804i
\(349\) −6.56989 20.8719i −0.351678 1.11725i −0.949008 0.315252i \(-0.897911\pi\)
0.597330 0.801996i \(-0.296228\pi\)
\(350\) −11.6548 + 16.8849i −0.622976 + 0.902536i
\(351\) 20.4330 18.9590i 1.09063 1.01196i
\(352\) −6.65973 7.78393i −0.354965 0.414885i
\(353\) −1.83412 15.1054i −0.0976206 0.803978i −0.956486 0.291777i \(-0.905753\pi\)
0.858866 0.512201i \(-0.171170\pi\)
\(354\) −1.19933 7.12074i −0.0637435 0.378463i
\(355\) 4.00411 13.2512i 0.212516 0.703302i
\(356\) −0.236160 3.72628i −0.0125165 0.197493i
\(357\) −0.0544665 + 9.46602i −0.00288267 + 0.500995i
\(358\) −21.9533 6.49601i −1.16027 0.343325i
\(359\) −0.404264 + 0.0232864i −0.0213363 + 0.00122901i −0.0681714 0.997674i \(-0.521716\pi\)
0.0468352 + 0.998903i \(0.485086\pi\)
\(360\) −14.8538 + 10.1272i −0.782865 + 0.533748i
\(361\) −8.90057 + 13.5515i −0.468451 + 0.713238i
\(362\) 4.78648 + 24.9047i 0.251572 + 1.30896i
\(363\) −72.6572 19.6927i −3.81351 1.03360i
\(364\) 0.857706 + 3.96779i 0.0449560 + 0.207968i
\(365\) 1.03144 + 4.51902i 0.0539878 + 0.236536i
\(366\) 4.39835 + 21.5446i 0.229906 + 1.12615i
\(367\) 18.4445 12.8886i 0.962795 0.672781i 0.0177913 0.999842i \(-0.494337\pi\)
0.945003 + 0.327061i \(0.106058\pi\)
\(368\) −4.32779 1.22661i −0.225602 0.0639417i
\(369\) −2.51329 33.5375i −0.130837 1.74589i
\(370\) −0.00662302 0.0367364i −0.000344315 0.00190984i
\(371\) 25.9849 + 29.6731i 1.34907 + 1.54055i
\(372\) −2.41949 + 3.59298i −0.125445 + 0.186287i
\(373\) −21.5701 + 22.9804i −1.11686 + 1.18988i −0.136920 + 0.990582i \(0.543720\pi\)
−0.979938 + 0.199300i \(0.936133\pi\)
\(374\) 5.21318 3.46709i 0.269567 0.179279i
\(375\) −3.29833 + 27.1642i −0.170325 + 1.40275i
\(376\) 39.3528 1.81271i 2.02946 0.0934836i
\(377\) −8.90643 7.01918i −0.458704 0.361506i
\(378\) 41.4953 + 12.7996i 2.13429 + 0.658341i
\(379\) −10.7607 + 1.36946i −0.552742 + 0.0703446i −0.397619 0.917550i \(-0.630164\pi\)
−0.155123 + 0.987895i \(0.549577\pi\)
\(380\) −0.00901170 + 0.522018i −0.000462291 + 0.0267789i
\(381\) −15.2454 9.88803i −0.781047 0.506579i
\(382\) 0.962640 + 18.5727i 0.0492529 + 0.950263i
\(383\) 8.67293 + 15.8537i 0.443166 + 0.810086i 0.999786 0.0206809i \(-0.00658340\pi\)
−0.556620 + 0.830767i \(0.687902\pi\)
\(384\) 7.20671 22.8950i 0.367766 1.16836i
\(385\) −15.3056 19.6524i −0.780047 1.00158i
\(386\) −0.153370 0.979280i −0.00780634 0.0498440i
\(387\) 9.62212 15.8140i 0.489120 0.803871i
\(388\) −0.471255 4.29348i −0.0239243 0.217969i
\(389\) −12.1652 8.92439i −0.616801 0.452485i 0.238125 0.971234i \(-0.423467\pi\)
−0.854926 + 0.518750i \(0.826398\pi\)
\(390\) −8.56280 10.2446i −0.433594 0.518755i
\(391\) −0.419796 + 1.00123i −0.0212300 + 0.0506346i
\(392\) −20.0474 + 18.1765i −1.01255 + 0.918052i
\(393\) 20.5127 44.5460i 1.03473 2.24705i
\(394\) −16.8638 + 23.8399i −0.849588 + 1.20104i
\(395\) 2.31998 1.15032i 0.116731 0.0578787i
\(396\) 3.06941 + 10.1579i 0.154244 + 0.510455i
\(397\) 14.1976 5.29120i 0.712557 0.265558i 0.0332866 0.999446i \(-0.489403\pi\)
0.679270 + 0.733888i \(0.262296\pi\)
\(398\) −1.61339 + 1.64149i −0.0808722 + 0.0822803i
\(399\) 15.7138 12.0936i 0.786673 0.605435i
\(400\) −6.75403 11.1003i −0.337702 0.555014i
\(401\) 27.0432 22.8693i 1.35047 1.14204i 0.373750 0.927530i \(-0.378072\pi\)
0.976722 0.214507i \(-0.0688145\pi\)
\(402\) 51.6147 32.6391i 2.57430 1.62789i
\(403\) −14.1866 7.65521i −0.706686 0.381333i
\(404\) 3.14197 + 4.44172i 0.156319 + 0.220984i
\(405\) 7.40229 1.37854i 0.367823 0.0685004i
\(406\) 2.53248 17.4839i 0.125685 0.867713i
\(407\) −0.166109 0.0211399i −0.00823373 0.00104786i
\(408\) −6.46197 2.93068i −0.319915 0.145090i
\(409\) −6.47028 + 12.8629i −0.319935 + 0.636028i −0.994793 0.101920i \(-0.967502\pi\)
0.674858 + 0.737948i \(0.264205\pi\)
\(410\) −7.78449 + 0.179194i −0.384449 + 0.00884978i
\(411\) −5.09814 + 24.9724i −0.251473 + 1.23180i
\(412\) −1.86607 4.31087i −0.0919347 0.212381i
\(413\) −5.30180 5.27138i −0.260884 0.259388i
\(414\) 7.94397 + 6.56259i 0.390425 + 0.322534i
\(415\) 7.10687 4.04881i 0.348863 0.198748i
\(416\) −5.56368 1.16922i −0.272782 0.0573257i
\(417\) 1.99847 2.62786i 0.0978653 0.128687i
\(418\) −12.4396 4.15294i −0.608439 0.203127i
\(419\) −9.87913 0.797526i −0.482627 0.0389617i −0.163241 0.986586i \(-0.552195\pi\)
−0.319386 + 0.947625i \(0.603477\pi\)
\(420\) −1.27718 + 3.48820i −0.0623202 + 0.170207i
\(421\) −0.769348 + 10.2662i −0.0374957 + 0.500346i 0.946565 + 0.322513i \(0.104528\pi\)
−0.984061 + 0.177833i \(0.943091\pi\)
\(422\) 18.5312 1.92615i 0.902085 0.0937635i
\(423\) −71.1340 27.4467i −3.45865 1.33451i
\(424\) −28.2511 + 8.71431i −1.37199 + 0.423204i
\(425\) −2.85606 + 1.29530i −0.138539 + 0.0628314i
\(426\) 2.08797 51.8126i 0.101163 2.51033i
\(427\) 16.6891 + 15.4852i 0.807640 + 0.749381i
\(428\) −0.732906 + 0.162850i −0.0354264 + 0.00787166i
\(429\) −55.3676 + 22.8408i −2.67317 + 1.10276i
\(430\) −3.54112 2.41429i −0.170768 0.116428i
\(431\) −12.5485 7.53661i −0.604439 0.363026i 0.179598 0.983740i \(-0.442520\pi\)
−0.784037 + 0.620714i \(0.786843\pi\)
\(432\) −18.1181 + 20.6898i −0.871709 + 0.995436i
\(433\) −5.96575 22.5235i −0.286696 1.08241i −0.944311 0.329055i \(-0.893270\pi\)
0.657615 0.753354i \(-0.271565\pi\)
\(434\) −0.722400 25.1033i −0.0346763 1.20500i
\(435\) −3.45541 9.78460i −0.165674 0.469136i
\(436\) 0.108925 + 0.222895i 0.00521656 + 0.0106747i
\(437\) 2.19497 0.594913i 0.104999 0.0284585i
\(438\) 7.98048 + 15.4205i 0.381322 + 0.736820i
\(439\) 13.3362 15.9555i 0.636501 0.761514i −0.347885 0.937537i \(-0.613100\pi\)
0.984386 + 0.176023i \(0.0563233\pi\)
\(440\) 18.1286 4.46830i 0.864246 0.213018i
\(441\) 49.6789 16.5853i 2.36566 0.789774i
\(442\) 1.11924 3.28939i 0.0532367 0.156460i
\(443\) −22.9305 4.27039i −1.08946 0.202893i −0.392322 0.919828i \(-0.628328\pi\)
−0.697140 + 0.716935i \(0.745544\pi\)
\(444\) 0.0104446 + 0.0226819i 0.000495681 + 0.00107644i
\(445\) 11.6975 + 4.98386i 0.554517 + 0.236258i
\(446\) −3.42314 4.61037i −0.162090 0.218307i
\(447\) −24.4742 38.2144i −1.15759 1.80748i
\(448\) −10.9824 33.5376i −0.518870 1.58450i
\(449\) −6.48429 + 6.15691i −0.306013 + 0.290562i −0.826068 0.563570i \(-0.809428\pi\)
0.520056 + 0.854132i \(0.325911\pi\)
\(450\) 3.92744 + 29.5039i 0.185141 + 1.39083i
\(451\) −9.71783 + 33.5499i −0.457595 + 1.57980i
\(452\) 0.0157827 + 2.74296i 0.000742356 + 0.129018i
\(453\) 26.5158 1.83372i 1.24582 0.0861559i
\(454\) −15.7154 + 24.5382i −0.737559 + 1.15163i
\(455\) −13.3834 3.46255i −0.627424 0.162327i
\(456\) 3.47382 + 14.4512i 0.162676 + 0.676739i
\(457\) −6.23832 + 4.46692i −0.291816 + 0.208954i −0.718642 0.695380i \(-0.755236\pi\)
0.426826 + 0.904334i \(0.359632\pi\)
\(458\) −0.0922952 1.06672i −0.00431267 0.0498445i
\(459\) 4.43007 + 4.94292i 0.206778 + 0.230716i
\(460\) −0.287976 + 0.313969i −0.0134270 + 0.0146389i
\(461\) 3.93552 35.8555i 0.183295 1.66996i −0.447709 0.894179i \(-0.647760\pi\)
0.631004 0.775779i \(-0.282643\pi\)
\(462\) −73.9448 56.9090i −3.44022 2.64765i
\(463\) −21.5374 + 2.99319i −1.00093 + 0.139105i −0.619253 0.785192i \(-0.712564\pi\)
−0.381674 + 0.924297i \(0.624652\pi\)
\(464\) 9.45635 + 5.97984i 0.439000 + 0.277607i
\(465\) −7.22809 12.8589i −0.335195 0.596318i
\(466\) −1.99552 2.50231i −0.0924408 0.115917i
\(467\) 11.1622 18.8297i 0.516523 0.871332i −0.483468 0.875362i \(-0.660623\pi\)
0.999992 + 0.00402929i \(0.00128257\pi\)
\(468\) 4.78819 + 3.42856i 0.221334 + 0.158485i
\(469\) 23.7757 58.5879i 1.09786 2.70534i
\(470\) −7.19857 + 16.1183i −0.332045 + 0.743482i
\(471\) −2.57910 + 1.31599i −0.118839 + 0.0606376i
\(472\) 5.22833 2.01733i 0.240653 0.0928551i
\(473\) −15.0997 + 11.9001i −0.694286 + 0.547169i
\(474\) 7.33414 6.34835i 0.336868 0.291589i
\(475\) 5.81663 + 3.05280i 0.266885 + 0.140072i
\(476\) −0.948238 + 0.187907i −0.0434624 + 0.00861272i
\(477\) 56.8418 + 6.57019i 2.60261 + 0.300828i
\(478\) −3.15220 + 6.45040i −0.144178 + 0.295035i
\(479\) −4.55646 + 23.7079i −0.208190 + 1.08324i 0.715067 + 0.699056i \(0.246396\pi\)
−0.923256 + 0.384184i \(0.874483\pi\)
\(480\) −3.73116 3.62534i −0.170303 0.165473i
\(481\) −0.0802109 + 0.0469272i −0.00365730 + 0.00213970i
\(482\) −9.65276 + 13.0006i −0.439671 + 0.592160i
\(483\) 16.1419 + 1.11631i 0.734482 + 0.0507938i
\(484\) 0.486226 7.67199i 0.0221012 0.348727i
\(485\) 13.7829 + 5.13663i 0.625847 + 0.233243i
\(486\) −3.93436 + 1.83922i −0.178466 + 0.0834287i
\(487\) 11.3730 + 10.3116i 0.515360 + 0.467263i 0.887431 0.460941i \(-0.152488\pi\)
−0.372071 + 0.928204i \(0.621352\pi\)
\(488\) −15.6994 + 6.68889i −0.710678 + 0.302792i
\(489\) 55.0640 + 32.2151i 2.49008 + 1.45682i
\(490\) −3.23940 11.6853i −0.146341 0.527886i
\(491\) −0.813268 2.22117i −0.0367023 0.100240i 0.919345 0.393452i \(-0.128719\pi\)
−0.956048 + 0.293212i \(0.905276\pi\)
\(492\) 5.01145 1.42038i 0.225934 0.0640358i
\(493\) 1.70784 2.09173i 0.0769175 0.0942068i
\(494\) −6.87665 + 2.38406i −0.309395 + 0.107264i
\(495\) −35.5997 6.20681i −1.60009 0.278975i
\(496\) 14.7030 + 6.06541i 0.660183 + 0.272345i
\(497\) −29.4736 44.8748i −1.32207 2.01291i
\(498\) 21.9743 21.3511i 0.984694 0.956765i
\(499\) −1.02508 + 3.69768i −0.0458887 + 0.165531i −0.983040 0.183393i \(-0.941292\pi\)
0.937151 + 0.348924i \(0.113453\pi\)
\(500\) −2.78529 + 0.224852i −0.124562 + 0.0100557i
\(501\) −1.46399 0.360841i −0.0654062 0.0161212i
\(502\) 17.8871 13.1220i 0.798341 0.585662i
\(503\) −6.29304 6.86104i −0.280593 0.305919i 0.580608 0.814183i \(-0.302815\pi\)
−0.861201 + 0.508264i \(0.830287\pi\)
\(504\) −6.80921 + 69.3909i −0.303306 + 3.09092i
\(505\) −18.3208 + 2.76142i −0.815265 + 0.122881i
\(506\) −5.35079 9.26783i −0.237871 0.412005i
\(507\) 2.66949 4.62369i 0.118556 0.205345i
\(508\) 0.677940 1.72736i 0.0300787 0.0766393i
\(509\) 7.84684 4.11834i 0.347805 0.182542i −0.281770 0.959482i \(-0.590921\pi\)
0.629575 + 0.776940i \(0.283229\pi\)
\(510\) 2.47439 1.99666i 0.109568 0.0884134i
\(511\) 16.0131 + 8.17070i 0.708378 + 0.361450i
\(512\) 25.2862 + 2.62827i 1.11750 + 0.116154i
\(513\) 2.46687 13.6832i 0.108915 0.604126i
\(514\) 18.3309 11.0095i 0.808540 0.485609i
\(515\) 15.9702 + 0.919916i 0.703733 + 0.0405363i
\(516\) 2.69787 + 0.970239i 0.118767 + 0.0427124i
\(517\) 59.2720 + 52.5105i 2.60678 + 2.30941i
\(518\) −0.125793 0.0716649i −0.00552704 0.00314878i
\(519\) 23.4442 + 61.8172i 1.02908 + 2.71347i
\(520\) 6.46060 8.10133i 0.283316 0.355267i
\(521\) 10.9519 + 1.77986i 0.479812 + 0.0779770i 0.395507 0.918463i \(-0.370569\pi\)
0.0843050 + 0.996440i \(0.473133\pi\)
\(522\) −14.3153 21.2585i −0.626564 0.930459i
\(523\) 5.68916 21.4792i 0.248770 0.939221i −0.720547 0.693406i \(-0.756109\pi\)
0.969317 0.245815i \(-0.0790556\pi\)
\(524\) 4.87606 + 1.14249i 0.213012 + 0.0499097i
\(525\) 31.9868 + 34.0782i 1.39602 + 1.48730i
\(526\) −16.1913 + 2.63134i −0.705972 + 0.114732i
\(527\) 1.88098 3.34631i 0.0819369 0.145767i
\(528\) 52.0055 28.0626i 2.26325 1.22127i
\(529\) −18.9435 9.39276i −0.823630 0.408381i
\(530\) 2.20032 13.0639i 0.0955759 0.567461i
\(531\) −10.8347 0.499082i −0.470187 0.0216583i
\(532\) 1.53100 + 1.32522i 0.0663773 + 0.0574555i
\(533\) 7.08200 + 18.0446i 0.306756 + 0.781601i
\(534\) 47.0974 + 7.09879i 2.03810 + 0.307195i
\(535\) 0.626137 2.47887i 0.0270703 0.107171i
\(536\) 32.8307 + 34.1803i 1.41807 + 1.47637i
\(537\) −25.0310 + 45.7555i −1.08017 + 1.97450i
\(538\) −8.87022 4.27167i −0.382422 0.184165i
\(539\) −54.3622 1.87749i −2.34155 0.0808694i
\(540\) 0.979443 + 2.41354i 0.0421485 + 0.103862i
\(541\) 1.03685 4.31331i 0.0445775 0.185444i −0.945583 0.325382i \(-0.894507\pi\)
0.990160 + 0.139938i \(0.0446903\pi\)
\(542\) 16.5095 31.0212i 0.709145 1.33248i
\(543\) 57.7577 + 1.32955i 2.47862 + 0.0570564i
\(544\) 0.301254 1.31988i 0.0129162 0.0565894i
\(545\) −0.844783 0.00972191i −0.0361865 0.000416441i
\(546\) −51.7838 −2.21614
\(547\) −0.112006 + 23.3878i −0.00478904 + 0.999989i
\(548\) −2.60275 −0.111184
\(549\) 33.0259 + 0.380067i 1.40951 + 0.0162209i
\(550\) 6.87863 30.1373i 0.293306 1.28506i
\(551\) −5.65496 0.130174i −0.240910 0.00554559i
\(552\) −5.69798 + 10.7064i −0.242522 + 0.455696i
\(553\) 2.34732 9.76492i 0.0998183 0.415247i
\(554\) 0.255048 + 0.628487i 0.0108359 + 0.0267019i
\(555\) −0.0849867 0.00293516i −0.00360748 0.000124591i
\(556\) 0.303752 + 0.146279i 0.0128820 + 0.00620363i
\(557\) −19.6542 + 35.9270i −0.832776 + 1.52227i 0.0198804 + 0.999802i \(0.493671\pi\)
−0.852656 + 0.522472i \(0.825010\pi\)
\(558\) −25.2381 26.2756i −1.06841 1.11234i
\(559\) −2.61296 + 10.3447i −0.110517 + 0.437533i
\(560\) 13.4871 + 2.03285i 0.569933 + 0.0859035i
\(561\) −5.21071 13.2767i −0.219996 0.560542i
\(562\) 14.7413 + 12.7599i 0.621825 + 0.538245i
\(563\) −29.9894 1.38141i −1.26390 0.0582195i −0.596316 0.802750i \(-0.703369\pi\)
−0.667589 + 0.744530i \(0.732673\pi\)
\(564\) 1.96131 11.6449i 0.0825862 0.490337i
\(565\) −8.36882 4.14952i −0.352079 0.174572i
\(566\) −2.72491 + 1.47038i −0.114536 + 0.0618047i
\(567\) 14.3093 25.4565i 0.600933 1.06907i
\(568\) 39.7216 6.45540i 1.66668 0.270862i
\(569\) −8.51904 9.07604i −0.357137 0.380487i 0.525301 0.850916i \(-0.323953\pi\)
−0.882438 + 0.470429i \(0.844099\pi\)
\(570\) −6.48445 1.51934i −0.271604 0.0636381i
\(571\) 0.0259244 0.0978767i 0.00108490 0.00409601i −0.966122 0.258087i \(-0.916908\pi\)
0.967207 + 0.253991i \(0.0817432\pi\)
\(572\) −3.41630 5.07327i −0.142843 0.212124i
\(573\) 41.8181 + 6.79611i 1.74698 + 0.283911i
\(574\) −18.8289 + 23.6107i −0.785904 + 0.985493i
\(575\) 1.90084 + 5.01210i 0.0792705 + 0.209019i
\(576\) −44.4837 25.3425i −1.85349 1.05594i
\(577\) 12.7273 + 11.2754i 0.529845 + 0.469402i 0.885122 0.465360i \(-0.154075\pi\)
−0.355277 + 0.934761i \(0.615613\pi\)
\(578\) −20.0602 7.21429i −0.834394 0.300075i
\(579\) −2.25433 0.129853i −0.0936866 0.00539652i
\(580\) 0.908419 0.545596i 0.0377201 0.0226547i
\(581\) 5.62833 31.2191i 0.233502 1.29519i
\(582\) 54.8031 + 5.69628i 2.27166 + 0.236119i
\(583\) −52.9348 27.0100i −2.19234 1.11864i
\(584\) −10.4867 + 8.46202i −0.433942 + 0.350161i
\(585\) −17.7578 + 9.32000i −0.734193 + 0.385334i
\(586\) 4.86831 12.4043i 0.201108 0.512415i
\(587\) 15.6595 27.1231i 0.646337 1.11949i −0.337654 0.941270i \(-0.609633\pi\)
0.983991 0.178219i \(-0.0570335\pi\)
\(588\) 4.05586 + 7.02496i 0.167261 + 0.289704i
\(589\) −7.95114 + 1.19844i −0.327621 + 0.0493809i
\(590\) −0.245239 + 2.49917i −0.0100963 + 0.102889i
\(591\) 44.9659 + 49.0245i 1.84965 + 2.01660i
\(592\) 0.0739287 0.0542340i 0.00303845 0.00222900i
\(593\) −0.350183 0.0863123i −0.0143803 0.00354442i 0.232119 0.972687i \(-0.425434\pi\)
−0.246499 + 0.969143i \(0.579280\pi\)
\(594\) −65.2151 + 5.26471i −2.67581 + 0.216014i
\(595\) 0.879428 3.17230i 0.0360530 0.130051i
\(596\) 3.32363 3.22936i 0.136141 0.132280i
\(597\) 2.87843 + 4.38254i 0.117806 + 0.179366i
\(598\) −5.49027 2.26490i −0.224514 0.0926185i
\(599\) 23.1859 + 4.04247i 0.947351 + 0.165171i 0.624277 0.781203i \(-0.285394\pi\)
0.323074 + 0.946374i \(0.395284\pi\)
\(600\) −33.1006 + 11.4756i −1.35133 + 0.468490i
\(601\) 1.61777 1.98141i 0.0659901 0.0808232i −0.740555 0.671996i \(-0.765437\pi\)
0.806545 + 0.591172i \(0.201335\pi\)
\(602\) −15.9922 + 4.53262i −0.651792 + 0.184736i
\(603\) −31.5377 86.1349i −1.28432 3.50768i
\(604\) 0.725096 + 2.61559i 0.0295038 + 0.106427i
\(605\) 22.5958 + 13.2196i 0.918648 + 0.537453i
\(606\) −63.8496 + 27.2038i −2.59371 + 1.10508i
\(607\) −29.4789 26.7278i −1.19651 1.08485i −0.994421 0.105479i \(-0.966362\pi\)
−0.202090 0.979367i \(-0.564773\pi\)
\(608\) −2.56899 + 1.20094i −0.104186 + 0.0487046i
\(609\) −37.7115 14.0544i −1.52815 0.569514i
\(610\) 0.483661 7.63152i 0.0195829 0.308991i
\(611\) 43.8418 + 3.03192i 1.77365 + 0.122658i
\(612\) −0.836007 + 1.12595i −0.0337936 + 0.0455140i
\(613\) −20.6101 + 12.0579i −0.832432 + 0.487013i −0.858601 0.512645i \(-0.828666\pi\)
0.0261683 + 0.999658i \(0.491669\pi\)
\(614\) 30.0470 + 29.1948i 1.21260 + 1.17821i
\(615\) −3.34789 + 17.4195i −0.135000 + 0.702423i
\(616\) 31.7941 65.0608i 1.28102 2.62137i
\(617\) −15.0919 1.74443i −0.607576 0.0702281i −0.194466 0.980909i \(-0.562297\pi\)
−0.413110 + 0.910681i \(0.635557\pi\)
\(618\) 58.7793 11.6480i 2.36445 0.468551i
\(619\) 6.30041 + 3.30671i 0.253235 + 0.132908i 0.586565 0.809902i \(-0.300480\pi\)
−0.333330 + 0.942810i \(0.608172\pi\)
\(620\) 1.13896 0.985871i 0.0457417 0.0395935i
\(621\) 8.91092 7.02273i 0.357583 0.281812i
\(622\) 15.2686 5.89132i 0.612215 0.236220i
\(623\) 43.9259 22.4132i 1.75986 0.897967i
\(624\) 13.3736 29.9449i 0.535373 1.19875i
\(625\) −3.82006 + 9.41336i −0.152802 + 0.376535i
\(626\) −13.8155 9.89254i −0.552179 0.395385i
\(627\) −15.2346 + 25.6995i −0.608411 + 1.02634i
\(628\) −0.184354 0.231172i −0.00735651 0.00922477i
\(629\) −0.0108435 0.0192907i −0.000432357 0.000769172i
\(630\) −26.4067 16.6986i −1.05207 0.665288i
\(631\) 0.750632 0.104320i 0.0298822 0.00415292i −0.122697 0.992444i \(-0.539154\pi\)
0.152579 + 0.988291i \(0.451242\pi\)
\(632\) 5.96570 + 4.59129i 0.237303 + 0.182632i
\(633\) 4.63073 42.1894i 0.184055 1.67688i
\(634\) 27.4830 29.9636i 1.09149 1.19001i
\(635\) 4.21756 + 4.70581i 0.167369 + 0.186744i
\(636\) 0.763931 + 8.82928i 0.0302918 + 0.350104i
\(637\) −24.5442 + 17.5748i −0.972477 + 0.696338i
\(638\) 6.22124 + 25.8805i 0.246301 + 1.02462i
\(639\) −75.4044 19.5086i −2.98295 0.771749i
\(640\) −4.50173 + 7.02906i −0.177947 + 0.277848i
\(641\) −26.3628 + 1.82315i −1.04127 + 0.0720099i −0.579485 0.814983i \(-0.696746\pi\)
−0.461784 + 0.886993i \(0.652790\pi\)
\(642\) −0.0551057 9.57711i −0.00217485 0.377978i
\(643\) −4.74090 + 16.3675i −0.186963 + 0.645471i 0.811193 + 0.584778i \(0.198818\pi\)
−0.998156 + 0.0606933i \(0.980669\pi\)
\(644\) 0.218029 + 1.63788i 0.00859154 + 0.0645417i
\(645\) −7.08020 + 6.72273i −0.278783 + 0.264707i
\(646\) −0.539369 1.64710i −0.0212212 0.0648043i
\(647\) −8.40568 13.1247i −0.330461 0.515986i 0.636376 0.771379i \(-0.280433\pi\)
−0.966837 + 0.255392i \(0.917795\pi\)
\(648\) 13.0488 + 17.5745i 0.512606 + 0.690390i
\(649\) 10.3632 + 4.41535i 0.406792 + 0.173318i
\(650\) −7.17560 15.5828i −0.281450 0.611206i
\(651\) −56.2437 10.4744i −2.20437 0.410523i
\(652\) −2.09853 + 6.16748i −0.0821846 + 0.241537i
\(653\) 31.2486 10.4323i 1.22285 0.408248i 0.369328 0.929299i \(-0.379588\pi\)
0.853526 + 0.521051i \(0.174460\pi\)
\(654\) −3.07273 + 0.757361i −0.120153 + 0.0296152i
\(655\) −10.9375 + 13.0857i −0.427363 + 0.511300i
\(656\) −8.79057 16.9858i −0.343214 0.663186i
\(657\) 25.1718 6.82245i 0.982047 0.266169i
\(658\) 30.0599 + 61.5121i 1.17186 + 2.39799i
\(659\) 14.6687 + 41.5370i 0.571412 + 1.61805i 0.770052 + 0.637981i \(0.220230\pi\)
−0.198640 + 0.980072i \(0.563653\pi\)
\(660\) −0.160995 5.59454i −0.00626671 0.217767i
\(661\) −1.03132 3.89371i −0.0401137 0.151448i 0.943639 0.330976i \(-0.107378\pi\)
−0.983753 + 0.179528i \(0.942543\pi\)
\(662\) −20.0403 + 22.8848i −0.778888 + 0.889441i
\(663\) −6.78558 4.07541i −0.263530 0.158276i
\(664\) 19.6462 + 13.3946i 0.762421 + 0.519810i
\(665\) −6.37448 + 2.62966i −0.247192 + 0.101974i
\(666\) −0.205029 + 0.0455569i −0.00794470 + 0.00176529i
\(667\) −3.38358 3.13950i −0.131013 0.121562i
\(668\) 0.00619996 0.153850i 0.000239884 0.00595265i
\(669\) −11.9133 + 5.40301i −0.460594 + 0.208892i
\(670\) −20.2936 + 6.25975i −0.784011 + 0.241835i
\(671\) −32.0025 12.3480i −1.23544 0.476691i
\(672\) −20.0687 + 2.08596i −0.774166 + 0.0804675i
\(673\) −2.96924 + 39.6217i −0.114456 + 1.52731i 0.584060 + 0.811711i \(0.301463\pi\)
−0.698515 + 0.715595i \(0.746156\pi\)
\(674\) 0.501023 1.36838i 0.0192987 0.0527080i
\(675\) 32.6664 + 2.63711i 1.25733 + 0.101502i
\(676\) 0.517152 + 0.172651i 0.0198905 + 0.00664042i
\(677\) 13.1010 17.2269i 0.503511 0.662084i −0.472112 0.881539i \(-0.656508\pi\)
0.975623 + 0.219454i \(0.0704276\pi\)
\(678\) −34.2429 7.19622i −1.31509 0.276369i
\(679\) 49.5673 28.2387i 1.90222 1.08370i
\(680\) 1.90234 + 1.57154i 0.0729513 + 0.0602658i
\(681\) 47.0735 + 46.8034i 1.80386 + 1.79351i
\(682\) 15.0315 + 34.7248i 0.575586 + 1.32968i
\(683\) 6.66690 32.6566i 0.255102 1.24957i −0.627189 0.778867i \(-0.715795\pi\)
0.882291 0.470705i \(-0.156000\pi\)
\(684\) 2.93678 0.0676029i 0.112291 0.00258486i
\(685\) 3.98298 7.91814i 0.152182 0.302536i
\(686\) −9.59136 4.34995i −0.366200 0.166082i
\(687\) −2.41963 0.307933i −0.0923145 0.0117484i
\(688\) 1.50906 10.4183i 0.0575323 0.397195i
\(689\) −32.4233 + 6.03825i −1.23523 + 0.230039i
\(690\) −3.13852 4.43684i −0.119481 0.168908i
\(691\) −15.0069 8.09785i −0.570890 0.308057i 0.163763 0.986500i \(-0.447637\pi\)
−0.734653 + 0.678443i \(0.762655\pi\)
\(692\) −5.70625 + 3.60842i −0.216919 + 0.137171i
\(693\) −107.016 + 90.4992i −4.06522 + 3.43778i
\(694\) −16.1770 26.5869i −0.614069 1.00922i
\(695\) −0.909844 + 0.700229i −0.0345123 + 0.0265612i
\(696\) 21.1459 21.5141i 0.801535 0.815491i
\(697\) −4.32546 + 1.61202i −0.163839 + 0.0610598i
\(698\) 8.24496 + 27.2859i 0.312076 + 1.03279i
\(699\) −6.53224 + 3.23888i −0.247072 + 0.122506i
\(700\) −2.75633 + 3.89655i −0.104180 + 0.147276i
\(701\) −15.6450 + 33.9752i −0.590903 + 1.28322i 0.347500 + 0.937680i \(0.387031\pi\)
−0.938403 + 0.345544i \(0.887695\pi\)
\(702\) −26.8999 + 24.3894i −1.01527 + 0.920520i
\(703\) −0.0179237 + 0.0427489i −0.000676005 + 0.00161231i
\(704\) 34.0995 + 40.7968i 1.28517 + 1.53759i
\(705\) 32.4248 + 23.7868i 1.22119 + 0.895863i
\(706\) 2.16267 + 19.7035i 0.0813931 + 0.741552i
\(707\) −37.3515 + 61.3873i −1.40475 + 2.30871i
\(708\) −0.259924 1.65963i −0.00976853 0.0623727i
\(709\) 11.4014 + 14.6394i 0.428189 + 0.549794i 0.953608 0.301050i \(-0.0973370\pi\)
−0.525419 + 0.850843i \(0.676092\pi\)
\(710\) −5.41434 + 17.2008i −0.203196 + 0.645536i
\(711\) −6.99258 12.7821i −0.262242 0.479366i
\(712\) 1.91329 + 36.9141i 0.0717036 + 1.38342i
\(713\) −5.50500 3.57049i −0.206164 0.133716i
\(714\) 0.212847 12.3295i 0.00796558 0.461419i
\(715\) 20.6619 2.62954i 0.772712 0.0983390i
\(716\) −5.08937 1.56986i −0.190199 0.0586686i
\(717\) 12.8455 + 10.1236i 0.479724 + 0.378072i
\(718\) 0.526938 0.0242724i 0.0196651 0.000905840i
\(719\) 3.04627 25.0883i 0.113607 0.935636i −0.818763 0.574131i \(-0.805340\pi\)
0.932370 0.361505i \(-0.117737\pi\)
\(720\) 16.4760 10.9576i 0.614025 0.408365i
\(721\) 42.4598 45.2360i 1.58129 1.68468i
\(722\) 11.7969 17.5186i 0.439035 0.651975i
\(723\) 24.3015 + 27.7508i 0.903781 + 1.03206i
\(724\) 1.04676 + 5.80612i 0.0389024 + 0.215783i
\(725\) −0.996370 13.2956i −0.0370043 0.493788i
\(726\) 94.3470 + 26.7405i 3.50155 + 0.992434i
\(727\) −13.5123 + 9.44213i −0.501144 + 0.350189i −0.795944 0.605370i \(-0.793025\pi\)
0.294800 + 0.955559i \(0.404747\pi\)
\(728\) −8.03859 39.3756i −0.297930 1.45936i
\(729\) 7.07217 + 30.9852i 0.261932 + 1.14760i
\(730\) −1.27579 5.90187i −0.0472192 0.218438i
\(731\) −2.45228 0.664654i −0.0907009 0.0245831i
\(732\) 0.965465 + 5.02345i 0.0356846 + 0.185672i
\(733\) 24.9485 37.9852i 0.921494 1.40302i 0.00631086 0.999980i \(-0.497991\pi\)
0.915184 0.403037i \(-0.132045\pi\)
\(734\) −24.2187 + 16.5121i −0.893930 + 0.609471i
\(735\) −27.5781 + 1.58855i −1.01723 + 0.0585946i
\(736\) −2.21897 0.656596i −0.0817925 0.0242024i
\(737\) −0.548138 + 95.2639i −0.0201909 + 3.50909i
\(738\) 2.77103 + 43.7232i 0.102003 + 1.60947i
\(739\) 4.47344 14.8044i 0.164558 0.544590i −0.835429 0.549598i \(-0.814781\pi\)
0.999987 + 0.00500791i \(0.00159407\pi\)
\(740\) −0.00144230 0.00856332i −5.30199e−5 0.000314794i
\(741\) 1.99853 + 16.4593i 0.0734177 + 0.604649i
\(742\) −33.4027 39.0413i −1.22625 1.43325i
\(743\) −12.4001 + 11.5056i −0.454914 + 0.422098i −0.874058 0.485821i \(-0.838521\pi\)
0.419144 + 0.907920i \(0.362330\pi\)
\(744\) 24.3603 35.2920i 0.893093 1.29387i
\(745\) 4.73828 + 15.0531i 0.173597 + 0.551502i
\(746\) 28.4414 29.6107i 1.04131 1.08412i
\(747\) −24.3722 39.0370i −0.891731 1.42829i
\(748\) 1.22196 0.792554i 0.0446795 0.0289786i
\(749\)