Properties

Label 322.2.i.d.71.3
Level $322$
Weight $2$
Character 322.71
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 71.3
Character \(\chi\) \(=\) 322.71
Dual form 322.2.i.d.127.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.0270781 - 0.188333i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-0.254438 - 0.0747098i) q^{5} +(0.0790407 - 0.173075i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(2.84374 - 0.834998i) q^{9} +O(q^{10})\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.0270781 - 0.188333i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-0.254438 - 0.0747098i) q^{5} +(0.0790407 - 0.173075i) q^{6} +(0.654861 - 0.755750i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(2.84374 - 0.834998i) q^{9} +(-0.173656 - 0.200410i) q^{10} +(2.46873 - 1.58655i) q^{11} +(0.160065 - 0.102867i) q^{12} +(2.25238 + 2.59938i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-0.00718058 + 0.0499420i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.92216 + 6.39865i) q^{17} +(2.84374 + 0.834998i) q^{18} +(1.05049 + 2.30026i) q^{19} +(-0.0377390 - 0.262481i) q^{20} +(-0.160065 - 0.102867i) q^{21} +2.93458 q^{22} +(-3.69657 - 3.05539i) q^{23} +0.190269 q^{24} +(-4.14711 - 2.66519i) q^{25} +(0.489488 + 3.40446i) q^{26} +(-0.471383 - 1.03218i) q^{27} +(0.959493 + 0.281733i) q^{28} +(3.23284 - 7.07893i) q^{29} +(-0.0330414 + 0.0381318i) q^{30} +(0.292089 - 2.03153i) q^{31} +(-0.959493 + 0.281733i) q^{32} +(-0.365648 - 0.421980i) q^{33} +(-5.91765 + 3.80304i) q^{34} +(-0.223084 + 0.143367i) q^{35} +(1.94087 + 2.23989i) q^{36} +(-1.01568 + 0.298232i) q^{37} +(-0.359883 + 2.50304i) q^{38} +(0.428558 - 0.494582i) q^{39} +(0.110160 - 0.241216i) q^{40} +(-10.7954 - 3.16981i) q^{41} +(-0.0790407 - 0.173075i) q^{42} +(0.0614568 + 0.427442i) q^{43} +(2.46873 + 1.58655i) q^{44} -0.785940 q^{45} +(-1.45788 - 4.56887i) q^{46} +9.70311 q^{47} +(0.160065 + 0.102867i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(-2.04786 - 4.48419i) q^{50} +(1.28420 + 0.377075i) q^{51} +(-1.42881 + 3.12866i) q^{52} +(-7.70500 + 8.89205i) q^{53} +(0.161488 - 1.12318i) q^{54} +(-0.746669 + 0.219242i) q^{55} +(0.654861 + 0.755750i) q^{56} +(0.404769 - 0.260129i) q^{57} +(6.54679 - 4.20737i) q^{58} +(-9.34925 - 10.7896i) q^{59} +(-0.0484118 + 0.0142150i) q^{60} +(-0.217805 + 1.51487i) q^{61} +(1.34405 - 1.55111i) q^{62} +(1.23121 - 2.69597i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-0.378892 - 0.829657i) q^{65} +(-0.0794629 - 0.552677i) q^{66} +(-9.37174 - 6.02285i) q^{67} -7.03432 q^{68} +(-0.475332 + 0.778918i) q^{69} -0.265180 q^{70} +(3.54061 + 2.27541i) q^{71} +(0.421792 + 2.93363i) q^{72} +(4.74539 + 10.3909i) q^{73} +(-1.01568 - 0.298232i) q^{74} +(-0.389645 + 0.853204i) q^{75} +(-1.65600 + 1.91113i) q^{76} +(0.417634 - 2.90471i) q^{77} +(0.627917 - 0.184373i) q^{78} +(5.57548 + 6.43445i) q^{79} +(0.223084 - 0.143367i) q^{80} +(7.29829 - 4.69032i) q^{81} +(-7.36793 - 8.50305i) q^{82} +(-9.76067 + 2.86599i) q^{83} +(0.0270781 - 0.188333i) q^{84} +(1.22155 - 1.40975i) q^{85} +(-0.179392 + 0.392813i) q^{86} +(-1.42073 - 0.417164i) q^{87} +(1.21907 + 2.66939i) q^{88} +(-0.679170 - 4.72373i) q^{89} +(-0.661175 - 0.424911i) q^{90} +3.43947 q^{91} +(1.24367 - 4.63177i) q^{92} -0.390512 q^{93} +(8.16278 + 5.24590i) q^{94} +(-0.0954338 - 0.663757i) q^{95} +(0.0790407 + 0.173075i) q^{96} +(-3.02715 - 0.888852i) q^{97} +(0.415415 - 0.909632i) q^{98} +(5.69565 - 6.57313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 + 0.540641i 0.594856 + 0.382291i
\(3\) −0.0270781 0.188333i −0.0156336 0.108734i 0.980510 0.196467i \(-0.0629468\pi\)
−0.996144 + 0.0877331i \(0.972038\pi\)
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) −0.254438 0.0747098i −0.113788 0.0334113i 0.224343 0.974510i \(-0.427977\pi\)
−0.338131 + 0.941099i \(0.609795\pi\)
\(6\) 0.0790407 0.173075i 0.0322682 0.0706576i
\(7\) 0.654861 0.755750i 0.247514 0.285646i
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) 2.84374 0.834998i 0.947914 0.278333i
\(10\) −0.173656 0.200410i −0.0549148 0.0633751i
\(11\) 2.46873 1.58655i 0.744349 0.478364i −0.112681 0.993631i \(-0.535944\pi\)
0.857029 + 0.515267i \(0.172307\pi\)
\(12\) 0.160065 0.102867i 0.0462067 0.0296952i
\(13\) 2.25238 + 2.59938i 0.624697 + 0.720939i 0.976592 0.215101i \(-0.0690081\pi\)
−0.351895 + 0.936039i \(0.614463\pi\)
\(14\) 0.959493 0.281733i 0.256435 0.0752962i
\(15\) −0.00718058 + 0.0499420i −0.00185402 + 0.0128950i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −2.92216 + 6.39865i −0.708729 + 1.55190i 0.120328 + 0.992734i \(0.461606\pi\)
−0.829056 + 0.559165i \(0.811122\pi\)
\(18\) 2.84374 + 0.834998i 0.670277 + 0.196811i
\(19\) 1.05049 + 2.30026i 0.241000 + 0.527716i 0.991022 0.133696i \(-0.0426847\pi\)
−0.750023 + 0.661412i \(0.769957\pi\)
\(20\) −0.0377390 0.262481i −0.00843871 0.0586925i
\(21\) −0.160065 0.102867i −0.0349290 0.0224475i
\(22\) 2.93458 0.625654
\(23\) −3.69657 3.05539i −0.770788 0.637092i
\(24\) 0.190269 0.0388385
\(25\) −4.14711 2.66519i −0.829422 0.533037i
\(26\) 0.489488 + 3.40446i 0.0959965 + 0.667670i
\(27\) −0.471383 1.03218i −0.0907176 0.198644i
\(28\) 0.959493 + 0.281733i 0.181327 + 0.0532424i
\(29\) 3.23284 7.07893i 0.600323 1.31452i −0.328677 0.944443i \(-0.606603\pi\)
0.928999 0.370081i \(-0.120670\pi\)
\(30\) −0.0330414 + 0.0381318i −0.00603250 + 0.00696188i
\(31\) 0.292089 2.03153i 0.0524608 0.364873i −0.946633 0.322313i \(-0.895540\pi\)
0.999094 0.0425597i \(-0.0135513\pi\)
\(32\) −0.959493 + 0.281733i −0.169616 + 0.0498038i
\(33\) −0.365648 0.421980i −0.0636512 0.0734574i
\(34\) −5.91765 + 3.80304i −1.01487 + 0.652216i
\(35\) −0.223084 + 0.143367i −0.0377080 + 0.0242335i
\(36\) 1.94087 + 2.23989i 0.323479 + 0.373315i
\(37\) −1.01568 + 0.298232i −0.166978 + 0.0490290i −0.364153 0.931339i \(-0.618641\pi\)
0.197175 + 0.980368i \(0.436823\pi\)
\(38\) −0.359883 + 2.50304i −0.0583808 + 0.406047i
\(39\) 0.428558 0.494582i 0.0686242 0.0791965i
\(40\) 0.110160 0.241216i 0.0174178 0.0381396i
\(41\) −10.7954 3.16981i −1.68596 0.495042i −0.708418 0.705793i \(-0.750591\pi\)
−0.977540 + 0.210752i \(0.932409\pi\)
\(42\) −0.0790407 0.173075i −0.0121962 0.0267060i
\(43\) 0.0614568 + 0.427442i 0.00937208 + 0.0651843i 0.993971 0.109646i \(-0.0349716\pi\)
−0.984599 + 0.174830i \(0.944062\pi\)
\(44\) 2.46873 + 1.58655i 0.372174 + 0.239182i
\(45\) −0.785940 −0.117161
\(46\) −1.45788 4.56887i −0.214953 0.673643i
\(47\) 9.70311 1.41534 0.707672 0.706541i \(-0.249745\pi\)
0.707672 + 0.706541i \(0.249745\pi\)
\(48\) 0.160065 + 0.102867i 0.0231033 + 0.0148476i
\(49\) −0.142315 0.989821i −0.0203307 0.141403i
\(50\) −2.04786 4.48419i −0.289612 0.634161i
\(51\) 1.28420 + 0.377075i 0.179824 + 0.0528011i
\(52\) −1.42881 + 3.12866i −0.198140 + 0.433866i
\(53\) −7.70500 + 8.89205i −1.05836 + 1.22142i −0.0839931 + 0.996466i \(0.526767\pi\)
−0.974370 + 0.224950i \(0.927778\pi\)
\(54\) 0.161488 1.12318i 0.0219758 0.152845i
\(55\) −0.746669 + 0.219242i −0.100681 + 0.0295626i
\(56\) 0.654861 + 0.755750i 0.0875094 + 0.100991i
\(57\) 0.404769 0.260129i 0.0536129 0.0344549i
\(58\) 6.54679 4.20737i 0.859636 0.552454i
\(59\) −9.34925 10.7896i −1.21717 1.40469i −0.887638 0.460542i \(-0.847655\pi\)
−0.329530 0.944145i \(-0.606890\pi\)
\(60\) −0.0484118 + 0.0142150i −0.00624993 + 0.00183515i
\(61\) −0.217805 + 1.51487i −0.0278871 + 0.193959i −0.999003 0.0446508i \(-0.985782\pi\)
0.971116 + 0.238609i \(0.0766916\pi\)
\(62\) 1.34405 1.55111i 0.170694 0.196991i
\(63\) 1.23121 2.69597i 0.155117 0.339660i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −0.378892 0.829657i −0.0469957 0.102906i
\(66\) −0.0794629 0.552677i −0.00978121 0.0680298i
\(67\) −9.37174 6.02285i −1.14494 0.735808i −0.176314 0.984334i \(-0.556418\pi\)
−0.968625 + 0.248526i \(0.920054\pi\)
\(68\) −7.03432 −0.853037
\(69\) −0.475332 + 0.778918i −0.0572233 + 0.0937707i
\(70\) −0.265180 −0.0316951
\(71\) 3.54061 + 2.27541i 0.420193 + 0.270042i 0.733606 0.679575i \(-0.237836\pi\)
−0.313413 + 0.949617i \(0.601472\pi\)
\(72\) 0.421792 + 2.93363i 0.0497087 + 0.345732i
\(73\) 4.74539 + 10.3909i 0.555405 + 1.21617i 0.954211 + 0.299133i \(0.0966974\pi\)
−0.398806 + 0.917035i \(0.630575\pi\)
\(74\) −1.01568 0.298232i −0.118071 0.0346688i
\(75\) −0.389645 + 0.853204i −0.0449924 + 0.0985195i
\(76\) −1.65600 + 1.91113i −0.189956 + 0.219221i
\(77\) 0.417634 2.90471i 0.0475938 0.331022i
\(78\) 0.627917 0.184373i 0.0710976 0.0208761i
\(79\) 5.57548 + 6.43445i 0.627291 + 0.723932i 0.977074 0.212899i \(-0.0682904\pi\)
−0.349784 + 0.936830i \(0.613745\pi\)
\(80\) 0.223084 0.143367i 0.0249415 0.0160289i
\(81\) 7.29829 4.69032i 0.810921 0.521147i
\(82\) −7.36793 8.50305i −0.813652 0.939005i
\(83\) −9.76067 + 2.86599i −1.07137 + 0.314583i −0.769422 0.638740i \(-0.779456\pi\)
−0.301950 + 0.953324i \(0.597638\pi\)
\(84\) 0.0270781 0.188333i 0.00295447 0.0205488i
\(85\) 1.22155 1.40975i 0.132496 0.152908i
\(86\) −0.179392 + 0.392813i −0.0193443 + 0.0423581i
\(87\) −1.42073 0.417164i −0.152318 0.0447247i
\(88\) 1.21907 + 2.66939i 0.129953 + 0.284558i
\(89\) −0.679170 4.72373i −0.0719918 0.500714i −0.993632 0.112670i \(-0.964060\pi\)
0.921641 0.388045i \(-0.126849\pi\)
\(90\) −0.661175 0.424911i −0.0696939 0.0447896i
\(91\) 3.43947 0.360555
\(92\) 1.24367 4.63177i 0.129661 0.482895i
\(93\) −0.390512 −0.0404942
\(94\) 8.16278 + 5.24590i 0.841926 + 0.541073i
\(95\) −0.0954338 0.663757i −0.00979130 0.0681000i
\(96\) 0.0790407 + 0.173075i 0.00806706 + 0.0176644i
\(97\) −3.02715 0.888852i −0.307361 0.0902493i 0.124415 0.992230i \(-0.460295\pi\)
−0.431776 + 0.901981i \(0.642113\pi\)
\(98\) 0.415415 0.909632i 0.0419633 0.0918867i
\(99\) 5.69565 6.57313i 0.572434 0.660625i
\(100\) 0.701567 4.87950i 0.0701567 0.487950i
\(101\) −17.8253 + 5.23397i −1.77368 + 0.520799i −0.994382 0.105855i \(-0.966242\pi\)
−0.779297 + 0.626654i \(0.784424\pi\)
\(102\) 0.876475 + 1.01151i 0.0867840 + 0.100154i
\(103\) 6.76841 4.34979i 0.666911 0.428598i −0.162900 0.986643i \(-0.552085\pi\)
0.829811 + 0.558045i \(0.188448\pi\)
\(104\) −2.89347 + 1.85952i −0.283728 + 0.182341i
\(105\) 0.0330414 + 0.0381318i 0.00322451 + 0.00372128i
\(106\) −11.2893 + 3.31483i −1.09651 + 0.321964i
\(107\) 1.54405 10.7391i 0.149269 1.03819i −0.768151 0.640269i \(-0.778823\pi\)
0.917420 0.397920i \(-0.130268\pi\)
\(108\) 0.743088 0.857569i 0.0715037 0.0825197i
\(109\) −4.15742 + 9.10348i −0.398209 + 0.871956i 0.599240 + 0.800569i \(0.295470\pi\)
−0.997449 + 0.0713862i \(0.977258\pi\)
\(110\) −0.746669 0.219242i −0.0711921 0.0209039i
\(111\) 0.0836696 + 0.183211i 0.00794157 + 0.0173896i
\(112\) 0.142315 + 0.989821i 0.0134475 + 0.0935293i
\(113\) 16.6958 + 10.7297i 1.57061 + 1.00937i 0.979175 + 0.203017i \(0.0650746\pi\)
0.591435 + 0.806353i \(0.298562\pi\)
\(114\) 0.481149 0.0450638
\(115\) 0.712281 + 1.05358i 0.0664206 + 0.0982466i
\(116\) 7.78219 0.722558
\(117\) 8.57566 + 5.51124i 0.792820 + 0.509514i
\(118\) −2.03179 14.1314i −0.187041 1.30090i
\(119\) 2.92216 + 6.39865i 0.267874 + 0.586563i
\(120\) −0.0484118 0.0142150i −0.00441937 0.00129764i
\(121\) −0.992112 + 2.17242i −0.0901920 + 0.197493i
\(122\) −1.00223 + 1.15663i −0.0907374 + 0.104717i
\(123\) −0.304660 + 2.11896i −0.0274703 + 0.191060i
\(124\) 1.96928 0.578232i 0.176846 0.0519268i
\(125\) 1.72435 + 1.99000i 0.154230 + 0.177991i
\(126\) 2.49331 1.60235i 0.222121 0.142749i
\(127\) 7.02087 4.51204i 0.623002 0.400379i −0.190711 0.981646i \(-0.561079\pi\)
0.813713 + 0.581267i \(0.197443\pi\)
\(128\) −0.654861 0.755750i −0.0578821 0.0667995i
\(129\) 0.0788370 0.0231486i 0.00694122 0.00203812i
\(130\) 0.129802 0.902796i 0.0113844 0.0791804i
\(131\) 6.22645 7.18571i 0.544008 0.627818i −0.415469 0.909607i \(-0.636382\pi\)
0.959476 + 0.281789i \(0.0909279\pi\)
\(132\) 0.231951 0.507902i 0.0201888 0.0442072i
\(133\) 2.42635 + 0.712440i 0.210391 + 0.0617764i
\(134\) −4.62781 10.1335i −0.399782 0.875400i
\(135\) 0.0428235 + 0.297844i 0.00368566 + 0.0256343i
\(136\) −5.91765 3.80304i −0.507434 0.326108i
\(137\) −15.3568 −1.31202 −0.656009 0.754753i \(-0.727757\pi\)
−0.656009 + 0.754753i \(0.727757\pi\)
\(138\) −0.820990 + 0.398283i −0.0698873 + 0.0339041i
\(139\) −6.11932 −0.519034 −0.259517 0.965738i \(-0.583563\pi\)
−0.259517 + 0.965738i \(0.583563\pi\)
\(140\) −0.223084 0.143367i −0.0188540 0.0121167i
\(141\) −0.262742 1.82741i −0.0221269 0.153896i
\(142\) 1.74837 + 3.82840i 0.146720 + 0.321272i
\(143\) 9.68456 + 2.84364i 0.809863 + 0.237797i
\(144\) −1.23121 + 2.69597i −0.102601 + 0.224664i
\(145\) −1.35142 + 1.55963i −0.112230 + 0.129520i
\(146\) −1.62570 + 11.3070i −0.134544 + 0.935772i
\(147\) −0.182562 + 0.0536050i −0.0150575 + 0.00442127i
\(148\) −0.693212 0.800009i −0.0569817 0.0657604i
\(149\) −5.50493 + 3.53780i −0.450981 + 0.289828i −0.746348 0.665556i \(-0.768194\pi\)
0.295367 + 0.955384i \(0.404558\pi\)
\(150\) −0.789067 + 0.507103i −0.0644271 + 0.0414048i
\(151\) 10.2906 + 11.8760i 0.837441 + 0.966458i 0.999794 0.0202746i \(-0.00645406\pi\)
−0.162354 + 0.986733i \(0.551909\pi\)
\(152\) −2.42635 + 0.712440i −0.196803 + 0.0577865i
\(153\) −2.96702 + 20.6361i −0.239870 + 1.66833i
\(154\) 1.92174 2.21781i 0.154858 0.178716i
\(155\) −0.226094 + 0.495076i −0.0181603 + 0.0397655i
\(156\) 0.627917 + 0.184373i 0.0502736 + 0.0147617i
\(157\) −2.04404 4.47583i −0.163132 0.357210i 0.810359 0.585934i \(-0.199272\pi\)
−0.973491 + 0.228723i \(0.926545\pi\)
\(158\) 1.21167 + 8.42733i 0.0963951 + 0.670443i
\(159\) 1.88330 + 1.21032i 0.149355 + 0.0959848i
\(160\) 0.265180 0.0209643
\(161\) −4.72984 + 0.792827i −0.372764 + 0.0624835i
\(162\) 8.67549 0.681611
\(163\) 9.96060 + 6.40129i 0.780175 + 0.501388i 0.869092 0.494651i \(-0.164704\pi\)
−0.0889170 + 0.996039i \(0.528341\pi\)
\(164\) −1.60120 11.1366i −0.125033 0.869624i
\(165\) 0.0615088 + 0.134685i 0.00478845 + 0.0104853i
\(166\) −9.76067 2.86599i −0.757575 0.222444i
\(167\) 0.482976 1.05757i 0.0373738 0.0818371i −0.890024 0.455913i \(-0.849313\pi\)
0.927398 + 0.374076i \(0.122040\pi\)
\(168\) 0.124600 0.143796i 0.00961309 0.0110941i
\(169\) 0.166511 1.15811i 0.0128086 0.0890855i
\(170\) 1.78980 0.525533i 0.137272 0.0403065i
\(171\) 4.90805 + 5.66419i 0.375328 + 0.433151i
\(172\) −0.363285 + 0.233469i −0.0277002 + 0.0178018i
\(173\) 11.8351 7.60598i 0.899809 0.578272i −0.00692448 0.999976i \(-0.502204\pi\)
0.906734 + 0.421704i \(0.138568\pi\)
\(174\) −0.969659 1.11905i −0.0735097 0.0848347i
\(175\) −4.72999 + 1.38885i −0.357554 + 0.104987i
\(176\) −0.417634 + 2.90471i −0.0314804 + 0.218951i
\(177\) −1.77887 + 2.05293i −0.133708 + 0.154308i
\(178\) 1.98249 4.34104i 0.148594 0.325375i
\(179\) −15.7974 4.63853i −1.18075 0.346700i −0.368288 0.929712i \(-0.620056\pi\)
−0.812464 + 0.583012i \(0.801874\pi\)
\(180\) −0.326491 0.714916i −0.0243352 0.0532867i
\(181\) 1.34784 + 9.37446i 0.100184 + 0.696798i 0.976572 + 0.215191i \(0.0690375\pi\)
−0.876387 + 0.481607i \(0.840053\pi\)
\(182\) 2.89347 + 1.85952i 0.214478 + 0.137837i
\(183\) 0.291196 0.0215258
\(184\) 3.55036 3.22412i 0.261736 0.237685i
\(185\) 0.280710 0.0206382
\(186\) −0.328519 0.211126i −0.0240882 0.0154805i
\(187\) 2.93777 + 20.4327i 0.214831 + 1.49418i
\(188\) 4.03082 + 8.82626i 0.293978 + 0.643721i
\(189\) −1.08876 0.319690i −0.0791958 0.0232540i
\(190\) 0.278570 0.609983i 0.0202096 0.0442528i
\(191\) 11.3565 13.1060i 0.821724 0.948320i −0.177636 0.984096i \(-0.556845\pi\)
0.999360 + 0.0357762i \(0.0113903\pi\)
\(192\) −0.0270781 + 0.188333i −0.00195420 + 0.0135917i
\(193\) 20.4261 5.99765i 1.47030 0.431720i 0.554106 0.832446i \(-0.313060\pi\)
0.916198 + 0.400726i \(0.131242\pi\)
\(194\) −2.06605 2.38435i −0.148334 0.171187i
\(195\) −0.145992 + 0.0938232i −0.0104547 + 0.00671882i
\(196\) 0.841254 0.540641i 0.0600895 0.0386172i
\(197\) −1.22813 1.41734i −0.0875010 0.100982i 0.710311 0.703888i \(-0.248554\pi\)
−0.797812 + 0.602907i \(0.794009\pi\)
\(198\) 8.34519 2.45037i 0.593067 0.174140i
\(199\) 0.740481 5.15016i 0.0524913 0.365085i −0.946598 0.322416i \(-0.895505\pi\)
0.999089 0.0426688i \(-0.0135860\pi\)
\(200\) 3.22825 3.72560i 0.228272 0.263440i
\(201\) −0.880529 + 1.92809i −0.0621077 + 0.135997i
\(202\) −17.8253 5.23397i −1.25418 0.368261i
\(203\) −3.23284 7.07893i −0.226901 0.496843i
\(204\) 0.190476 + 1.32479i 0.0133360 + 0.0927540i
\(205\) 2.50995 + 1.61304i 0.175302 + 0.112660i
\(206\) 8.04562 0.560565
\(207\) −13.0633 5.60211i −0.907964 0.389373i
\(208\) −3.43947 −0.238485
\(209\) 6.24287 + 4.01205i 0.431828 + 0.277519i
\(210\) 0.00718058 + 0.0499420i 0.000495507 + 0.00344633i
\(211\) 11.2671 + 24.6714i 0.775656 + 1.69845i 0.713784 + 0.700366i \(0.246980\pi\)
0.0618728 + 0.998084i \(0.480293\pi\)
\(212\) −11.2893 3.31483i −0.775350 0.227663i
\(213\) 0.332661 0.728426i 0.0227936 0.0499109i
\(214\) 7.10494 8.19954i 0.485684 0.560509i
\(215\) 0.0162971 0.113349i 0.00111145 0.00773034i
\(216\) 1.08876 0.319690i 0.0740809 0.0217521i
\(217\) −1.34405 1.55111i −0.0912398 0.105296i
\(218\) −8.41916 + 5.41067i −0.570218 + 0.366457i
\(219\) 1.82846 1.17508i 0.123556 0.0794044i
\(220\) −0.509607 0.588118i −0.0343577 0.0396509i
\(221\) −23.2143 + 6.81634i −1.56156 + 0.458517i
\(222\) −0.0286639 + 0.199362i −0.00192380 + 0.0133803i
\(223\) 15.7832 18.2148i 1.05692 1.21976i 0.0821360 0.996621i \(-0.473826\pi\)
0.974788 0.223134i \(-0.0716287\pi\)
\(224\) −0.415415 + 0.909632i −0.0277561 + 0.0607773i
\(225\) −14.0187 4.11627i −0.934583 0.274418i
\(226\) 8.24447 + 18.0529i 0.548414 + 1.20086i
\(227\) −1.66808 11.6018i −0.110715 0.770037i −0.967227 0.253912i \(-0.918283\pi\)
0.856513 0.516126i \(-0.172626\pi\)
\(228\) 0.404769 + 0.260129i 0.0268064 + 0.0172275i
\(229\) 23.8080 1.57328 0.786638 0.617415i \(-0.211820\pi\)
0.786638 + 0.617415i \(0.211820\pi\)
\(230\) 0.0296021 + 1.27141i 0.00195190 + 0.0838346i
\(231\) −0.558360 −0.0367374
\(232\) 6.54679 + 4.20737i 0.429818 + 0.276227i
\(233\) 0.738046 + 5.13322i 0.0483510 + 0.336289i 0.999611 + 0.0278978i \(0.00888131\pi\)
−0.951260 + 0.308391i \(0.900210\pi\)
\(234\) 4.23470 + 9.27270i 0.276831 + 0.606175i
\(235\) −2.46884 0.724918i −0.161050 0.0472884i
\(236\) 5.93075 12.9865i 0.386059 0.845352i
\(237\) 1.06084 1.22428i 0.0689091 0.0795254i
\(238\) −1.00109 + 6.96272i −0.0648909 + 0.451326i
\(239\) 1.00159 0.294093i 0.0647875 0.0190233i −0.249178 0.968458i \(-0.580160\pi\)
0.313966 + 0.949434i \(0.398342\pi\)
\(240\) −0.0330414 0.0381318i −0.00213281 0.00246140i
\(241\) 11.1171 7.14453i 0.716116 0.460220i −0.131168 0.991360i \(-0.541873\pi\)
0.847284 + 0.531141i \(0.178236\pi\)
\(242\) −2.00912 + 1.29118i −0.129151 + 0.0830003i
\(243\) −3.31023 3.82021i −0.212351 0.245066i
\(244\) −1.46845 + 0.431176i −0.0940079 + 0.0276032i
\(245\) −0.0377390 + 0.262481i −0.00241106 + 0.0167693i
\(246\) −1.40189 + 1.61787i −0.0893813 + 0.103152i
\(247\) −3.61315 + 7.91169i −0.229899 + 0.503409i
\(248\) 1.96928 + 0.578232i 0.125049 + 0.0367178i
\(249\) 0.804060 + 1.76065i 0.0509552 + 0.111576i
\(250\) 0.374737 + 2.60635i 0.0237004 + 0.164840i
\(251\) −13.9903 8.99101i −0.883059 0.567507i 0.0186623 0.999826i \(-0.494059\pi\)
−0.901721 + 0.432318i \(0.857696\pi\)
\(252\) 2.96380 0.186702
\(253\) −13.9733 1.67811i −0.878497 0.105502i
\(254\) 8.34573 0.523658
\(255\) −0.298578 0.191885i −0.0186977 0.0120163i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 1.05889 + 2.31865i 0.0660519 + 0.144633i 0.939779 0.341783i \(-0.111031\pi\)
−0.873727 + 0.486417i \(0.838304\pi\)
\(258\) 0.0788370 + 0.0231486i 0.00490818 + 0.00144117i
\(259\) −0.439743 + 0.962904i −0.0273243 + 0.0598319i
\(260\) 0.597285 0.689304i 0.0370421 0.0427488i
\(261\) 3.28247 22.8301i 0.203180 1.41315i
\(262\) 9.12291 2.67873i 0.563615 0.165492i
\(263\) 7.32906 + 8.45819i 0.451929 + 0.521554i 0.935297 0.353863i \(-0.115132\pi\)
−0.483368 + 0.875417i \(0.660587\pi\)
\(264\) 0.469722 0.301872i 0.0289094 0.0185790i
\(265\) 2.62477 1.68684i 0.161238 0.103622i
\(266\) 1.65600 + 1.91113i 0.101536 + 0.117179i
\(267\) −0.871241 + 0.255820i −0.0533191 + 0.0156559i
\(268\) 1.58542 11.0268i 0.0968447 0.673570i
\(269\) 8.94319 10.3210i 0.545276 0.629282i −0.414500 0.910049i \(-0.636044\pi\)
0.959776 + 0.280768i \(0.0905890\pi\)
\(270\) −0.125001 + 0.273715i −0.00760733 + 0.0166577i
\(271\) −1.44372 0.423915i −0.0876999 0.0257510i 0.237588 0.971366i \(-0.423643\pi\)
−0.325288 + 0.945615i \(0.605461\pi\)
\(272\) −2.92216 6.39865i −0.177182 0.387975i
\(273\) −0.0931345 0.647765i −0.00563676 0.0392045i
\(274\) −12.9189 8.30250i −0.780462 0.501573i
\(275\) −14.4665 −0.872365
\(276\) −0.905989 0.108803i −0.0545341 0.00654919i
\(277\) 8.04602 0.483439 0.241719 0.970346i \(-0.422289\pi\)
0.241719 + 0.970346i \(0.422289\pi\)
\(278\) −5.14790 3.30836i −0.308751 0.198422i
\(279\) −0.865693 6.02103i −0.0518277 0.360470i
\(280\) −0.110160 0.241216i −0.00658330 0.0144154i
\(281\) −4.08984 1.20089i −0.243980 0.0716389i 0.157456 0.987526i \(-0.449671\pi\)
−0.401436 + 0.915887i \(0.631489\pi\)
\(282\) 0.766940 1.67937i 0.0456706 0.100005i
\(283\) −5.65187 + 6.52261i −0.335969 + 0.387729i −0.898446 0.439084i \(-0.855303\pi\)
0.562477 + 0.826813i \(0.309848\pi\)
\(284\) −0.598965 + 4.16589i −0.0355420 + 0.247200i
\(285\) −0.122423 + 0.0359466i −0.00725170 + 0.00212929i
\(286\) 6.60978 + 7.62809i 0.390844 + 0.451058i
\(287\) −9.46507 + 6.08283i −0.558705 + 0.359058i
\(288\) −2.49331 + 1.60235i −0.146919 + 0.0944194i
\(289\) −21.2710 24.5480i −1.25123 1.44400i
\(290\) −1.98009 + 0.581406i −0.116275 + 0.0341413i
\(291\) −0.0854302 + 0.594180i −0.00500800 + 0.0348314i
\(292\) −7.48063 + 8.63311i −0.437771 + 0.505215i
\(293\) −11.4318 + 25.0321i −0.667852 + 1.46239i 0.207169 + 0.978305i \(0.433575\pi\)
−0.875020 + 0.484086i \(0.839152\pi\)
\(294\) −0.182562 0.0536050i −0.0106472 0.00312631i
\(295\) 1.57272 + 3.44377i 0.0915671 + 0.200504i
\(296\) −0.150649 1.04779i −0.00875632 0.0609015i
\(297\) −2.80133 1.80030i −0.162550 0.104464i
\(298\) −6.54372 −0.379067
\(299\) −0.383949 16.4907i −0.0222043 0.953680i
\(300\) −0.937966 −0.0541535
\(301\) 0.363285 + 0.233469i 0.0209394 + 0.0134569i
\(302\) 2.23637 + 15.5543i 0.128689 + 0.895049i
\(303\) 1.46840 + 3.21535i 0.0843574 + 0.184717i
\(304\) −2.42635 0.712440i −0.139161 0.0408612i
\(305\) 0.168593 0.369168i 0.00965362 0.0211385i
\(306\) −13.6527 + 15.7561i −0.780475 + 0.900716i
\(307\) 1.34665 9.36614i 0.0768572 0.534554i −0.914624 0.404305i \(-0.867513\pi\)
0.991481 0.130249i \(-0.0415775\pi\)
\(308\) 2.81571 0.826767i 0.160440 0.0471094i
\(309\) −1.00248 1.15693i −0.0570292 0.0658153i
\(310\) −0.457860 + 0.294249i −0.0260047 + 0.0167122i
\(311\) −1.69006 + 1.08614i −0.0958345 + 0.0615891i −0.587680 0.809093i \(-0.699959\pi\)
0.491846 + 0.870682i \(0.336322\pi\)
\(312\) 0.428558 + 0.494582i 0.0242623 + 0.0280002i
\(313\) −14.9498 + 4.38965i −0.845010 + 0.248117i −0.675453 0.737403i \(-0.736052\pi\)
−0.169557 + 0.985520i \(0.554234\pi\)
\(314\) 0.700258 4.87040i 0.0395178 0.274853i
\(315\) −0.514681 + 0.593974i −0.0289990 + 0.0334666i
\(316\) −3.53684 + 7.74460i −0.198963 + 0.435668i
\(317\) −9.43516 2.77041i −0.529931 0.155602i 0.00581154 0.999983i \(-0.498150\pi\)
−0.535743 + 0.844381i \(0.679968\pi\)
\(318\) 0.929982 + 2.03638i 0.0521508 + 0.114194i
\(319\) −3.25011 22.6050i −0.181971 1.26564i
\(320\) 0.223084 + 0.143367i 0.0124708 + 0.00801447i
\(321\) −2.06433 −0.115220
\(322\) −4.40763 1.89018i −0.245628 0.105336i
\(323\) −17.7883 −0.989766
\(324\) 7.29829 + 4.69032i 0.405460 + 0.260574i
\(325\) −2.41302 16.7829i −0.133850 0.930949i
\(326\) 4.91859 + 10.7702i 0.272416 + 0.596507i
\(327\) 1.82706 + 0.536472i 0.101037 + 0.0296670i
\(328\) 4.67389 10.2344i 0.258073 0.565100i
\(329\) 6.35419 7.33312i 0.350318 0.404288i
\(330\) −0.0210720 + 0.146559i −0.00115997 + 0.00806780i
\(331\) −13.4066 + 3.93654i −0.736894 + 0.216372i −0.628580 0.777745i \(-0.716363\pi\)
−0.108314 + 0.994117i \(0.534545\pi\)
\(332\) −6.66173 7.68804i −0.365610 0.421936i
\(333\) −2.63932 + 1.69619i −0.144634 + 0.0929507i
\(334\) 0.978070 0.628567i 0.0535176 0.0343937i
\(335\) 1.93456 + 2.23260i 0.105696 + 0.121980i
\(336\) 0.182562 0.0536050i 0.00995957 0.00292439i
\(337\) −0.650904 + 4.52714i −0.0354570 + 0.246609i −0.999840 0.0179018i \(-0.994301\pi\)
0.964383 + 0.264511i \(0.0852105\pi\)
\(338\) 0.766200 0.884242i 0.0416758 0.0480964i
\(339\) 1.56867 3.43491i 0.0851984 0.186558i
\(340\) 1.78980 + 0.525533i 0.0970656 + 0.0285010i
\(341\) −2.50204 5.47869i −0.135493 0.296688i
\(342\) 1.06662 + 7.41851i 0.0576763 + 0.401147i
\(343\) −0.841254 0.540641i −0.0454234 0.0291919i
\(344\) −0.431837 −0.0232831
\(345\) 0.179136 0.162675i 0.00964434 0.00875811i
\(346\) 14.0685 0.756325
\(347\) −4.14289 2.66248i −0.222402 0.142929i 0.424696 0.905336i \(-0.360381\pi\)
−0.647098 + 0.762407i \(0.724017\pi\)
\(348\) −0.210727 1.46564i −0.0112962 0.0785665i
\(349\) −2.22995 4.88290i −0.119366 0.261376i 0.840512 0.541793i \(-0.182254\pi\)
−0.959878 + 0.280417i \(0.909527\pi\)
\(350\) −4.72999 1.38885i −0.252829 0.0742372i
\(351\) 1.62131 3.55017i 0.0865390 0.189494i
\(352\) −1.92174 + 2.21781i −0.102429 + 0.118210i
\(353\) −0.718711 + 4.99874i −0.0382531 + 0.266056i −0.999968 0.00799555i \(-0.997455\pi\)
0.961715 + 0.274052i \(0.0883640\pi\)
\(354\) −2.60638 + 0.765303i −0.138528 + 0.0406754i
\(355\) −0.730871 0.843470i −0.0387906 0.0447668i
\(356\) 4.01472 2.58010i 0.212780 0.136745i
\(357\) 1.12595 0.723602i 0.0595914 0.0382971i
\(358\) −10.7818 12.4429i −0.569837 0.657627i
\(359\) −29.6860 + 8.71660i −1.56677 + 0.460045i −0.946059 0.323996i \(-0.894974\pi\)
−0.620710 + 0.784040i \(0.713155\pi\)
\(360\) 0.111851 0.777940i 0.00589506 0.0410010i
\(361\) 8.25469 9.52642i 0.434457 0.501391i
\(362\) −3.93434 + 8.61500i −0.206784 + 0.452794i
\(363\) 0.436002 + 0.128022i 0.0228842 + 0.00671940i
\(364\) 1.42881 + 3.12866i 0.0748899 + 0.163986i
\(365\) −0.431102 2.99838i −0.0225649 0.156942i
\(366\) 0.244970 + 0.157433i 0.0128048 + 0.00822913i
\(367\) −15.2900 −0.798131 −0.399066 0.916922i \(-0.630665\pi\)
−0.399066 + 0.916922i \(0.630665\pi\)
\(368\) 4.72984 0.792827i 0.246560 0.0413290i
\(369\) −33.3461 −1.73593
\(370\) 0.236148 + 0.151763i 0.0122768 + 0.00788980i
\(371\) 1.67446 + 11.6461i 0.0869335 + 0.604636i
\(372\) −0.162224 0.355222i −0.00841094 0.0184174i
\(373\) 17.0988 + 5.02065i 0.885341 + 0.259959i 0.692627 0.721296i \(-0.256453\pi\)
0.192713 + 0.981255i \(0.438271\pi\)
\(374\) −8.57532 + 18.7773i −0.443419 + 0.970953i
\(375\) 0.328090 0.378636i 0.0169425 0.0195527i
\(376\) −1.38090 + 9.60435i −0.0712143 + 0.495306i
\(377\) 25.6824 7.54103i 1.32271 0.388383i
\(378\) −0.743088 0.857569i −0.0382203 0.0441086i
\(379\) 3.51564 2.25936i 0.180586 0.116056i −0.447225 0.894422i \(-0.647588\pi\)
0.627811 + 0.778366i \(0.283951\pi\)
\(380\) 0.564130 0.362544i 0.0289392 0.0185981i
\(381\) −1.03988 1.20008i −0.0532745 0.0614820i
\(382\) 16.6393 4.88574i 0.851342 0.249976i
\(383\) −4.27405 + 29.7267i −0.218394 + 1.51896i 0.525575 + 0.850747i \(0.323850\pi\)
−0.743968 + 0.668215i \(0.767059\pi\)
\(384\) −0.124600 + 0.143796i −0.00635846 + 0.00733805i
\(385\) −0.323273 + 0.707868i −0.0164755 + 0.0360763i
\(386\) 20.4261 + 5.99765i 1.03966 + 0.305272i
\(387\) 0.531681 + 1.16422i 0.0270268 + 0.0591805i
\(388\) −0.448996 3.12284i −0.0227943 0.158538i
\(389\) 2.18927 + 1.40696i 0.111000 + 0.0713355i 0.594963 0.803753i \(-0.297167\pi\)
−0.483963 + 0.875089i \(0.660803\pi\)
\(390\) −0.173541 −0.00878757
\(391\) 30.3523 14.7247i 1.53498 0.744660i
\(392\) 1.00000 0.0505076
\(393\) −1.52190 0.978068i −0.0767699 0.0493370i
\(394\) −0.266899 1.85632i −0.0134462 0.0935203i
\(395\) −0.937900 2.05371i −0.0471908 0.103334i
\(396\) 8.34519 + 2.45037i 0.419362 + 0.123136i
\(397\) −2.41660 + 5.29162i −0.121286 + 0.265579i −0.960530 0.278175i \(-0.910270\pi\)
0.839245 + 0.543754i \(0.182998\pi\)
\(398\) 3.40732 3.93226i 0.170794 0.197106i
\(399\) 0.0684747 0.476252i 0.00342802 0.0238424i
\(400\) 4.72999 1.38885i 0.236500 0.0694426i
\(401\) 5.71531 + 6.59582i 0.285409 + 0.329379i 0.880292 0.474433i \(-0.157347\pi\)
−0.594883 + 0.803813i \(0.702801\pi\)
\(402\) −1.78315 + 1.14596i −0.0889356 + 0.0571554i
\(403\) 5.93860 3.81651i 0.295823 0.190114i
\(404\) −12.1659 14.0402i −0.605274 0.698524i
\(405\) −2.20738 + 0.648144i −0.109685 + 0.0322066i
\(406\) 1.10752 7.70298i 0.0549653 0.382292i
\(407\) −2.03429 + 2.34769i −0.100836 + 0.116371i
\(408\) −0.555998 + 1.21747i −0.0275260 + 0.0602735i
\(409\) −13.1262 3.85420i −0.649049 0.190578i −0.0593957 0.998235i \(-0.518917\pi\)
−0.589653 + 0.807657i \(0.700736\pi\)
\(410\) 1.23942 + 2.71396i 0.0612108 + 0.134033i
\(411\) 0.415833 + 2.89218i 0.0205115 + 0.142661i
\(412\) 6.76841 + 4.34979i 0.333455 + 0.214299i
\(413\) −14.2767 −0.702510
\(414\) −7.96085 11.7754i −0.391254 0.578727i
\(415\) 2.69761 0.132420
\(416\) −2.89347 1.85952i −0.141864 0.0911705i
\(417\) 0.165700 + 1.15247i 0.00811436 + 0.0564366i
\(418\) 3.08276 + 6.75030i 0.150783 + 0.330168i
\(419\) 5.52921 + 1.62352i 0.270120 + 0.0793143i 0.413987 0.910283i \(-0.364136\pi\)
−0.143868 + 0.989597i \(0.545954\pi\)
\(420\) −0.0209600 + 0.0458960i −0.00102274 + 0.00223950i
\(421\) 5.51013 6.35903i 0.268547 0.309920i −0.605419 0.795907i \(-0.706994\pi\)
0.873966 + 0.485987i \(0.161540\pi\)
\(422\) −3.85992 + 26.8463i −0.187898 + 1.30686i
\(423\) 27.5932 8.10208i 1.34162 0.393937i
\(424\) −7.70500 8.89205i −0.374188 0.431836i
\(425\) 29.1721 18.7478i 1.41506 0.909401i
\(426\) 0.673669 0.432941i 0.0326394 0.0209761i
\(427\) 1.00223 + 1.15663i 0.0485012 + 0.0559733i
\(428\) 10.4101 3.05667i 0.503189 0.147750i
\(429\) 0.273311 1.90092i 0.0131956 0.0917771i
\(430\) 0.0749911 0.0865444i 0.00361639 0.00417354i
\(431\) 9.36167 20.4992i 0.450936 0.987412i −0.538525 0.842610i \(-0.681018\pi\)
0.989461 0.144802i \(-0.0462545\pi\)
\(432\) 1.08876 + 0.319690i 0.0523831 + 0.0153811i
\(433\) 8.80405 + 19.2782i 0.423096 + 0.926450i 0.994397 + 0.105710i \(0.0337115\pi\)
−0.571301 + 0.820740i \(0.693561\pi\)
\(434\) −0.292089 2.03153i −0.0140207 0.0975163i
\(435\) 0.330322 + 0.212285i 0.0158377 + 0.0101783i
\(436\) −10.0079 −0.479290
\(437\) 3.14496 11.7127i 0.150444 0.560296i
\(438\) 2.17349 0.103853
\(439\) 4.07389 + 2.61813i 0.194436 + 0.124957i 0.634237 0.773139i \(-0.281314\pi\)
−0.439801 + 0.898095i \(0.644951\pi\)
\(440\) −0.110748 0.770271i −0.00527971 0.0367212i
\(441\) −1.23121 2.69597i −0.0586289 0.128379i
\(442\) −23.2143 6.81634i −1.10419 0.324220i
\(443\) −15.1414 + 33.1550i −0.719389 + 1.57524i 0.0953695 + 0.995442i \(0.469597\pi\)
−0.814759 + 0.579800i \(0.803131\pi\)
\(444\) −0.131897 + 0.152217i −0.00625955 + 0.00722391i
\(445\) −0.180102 + 1.25264i −0.00853766 + 0.0593808i
\(446\) 23.1254 6.79023i 1.09502 0.321526i
\(447\) 0.815346 + 0.940960i 0.0385645 + 0.0445059i
\(448\) −0.841254 + 0.540641i −0.0397455 + 0.0255429i
\(449\) 16.1346 10.3690i 0.761437 0.489346i −0.101389 0.994847i \(-0.532329\pi\)
0.862826 + 0.505501i \(0.168692\pi\)
\(450\) −9.56789 11.0419i −0.451035 0.520522i
\(451\) −31.6799 + 9.30207i −1.49175 + 0.438017i
\(452\) −2.82443 + 19.6443i −0.132850 + 0.923992i
\(453\) 1.95799 2.25964i 0.0919945 0.106167i
\(454\) 4.86911 10.6619i 0.228519 0.500387i
\(455\) −0.875134 0.256963i −0.0410269 0.0120466i
\(456\) 0.199877 + 0.437669i 0.00936008 + 0.0204957i
\(457\) −4.35703 30.3038i −0.203813 1.41755i −0.792836 0.609435i \(-0.791396\pi\)
0.589023 0.808116i \(-0.299513\pi\)
\(458\) 20.0286 + 12.8716i 0.935873 + 0.601449i
\(459\) 7.98204 0.372570
\(460\) −0.662475 + 1.08559i −0.0308881 + 0.0506157i
\(461\) 41.9850 1.95543 0.977717 0.209927i \(-0.0673225\pi\)
0.977717 + 0.209927i \(0.0673225\pi\)
\(462\) −0.469722 0.301872i −0.0218535 0.0140444i
\(463\) 4.79619 + 33.3582i 0.222898 + 1.55029i 0.726996 + 0.686641i \(0.240916\pi\)
−0.504099 + 0.863646i \(0.668175\pi\)
\(464\) 3.23284 + 7.07893i 0.150081 + 0.328631i
\(465\) 0.0993611 + 0.0291751i 0.00460776 + 0.00135296i
\(466\) −2.15435 + 4.71736i −0.0997981 + 0.218527i
\(467\) 16.5194 19.0644i 0.764428 0.882197i −0.231455 0.972846i \(-0.574348\pi\)
0.995883 + 0.0906483i \(0.0288939\pi\)
\(468\) −1.45074 + 10.0901i −0.0670607 + 0.466417i
\(469\) −10.6889 + 3.13856i −0.493570 + 0.144925i
\(470\) −1.68500 1.94460i −0.0777234 0.0896976i
\(471\) −0.787596 + 0.506157i −0.0362905 + 0.0233225i
\(472\) 12.0103 7.71856i 0.552820 0.355276i
\(473\) 0.829879 + 0.957732i 0.0381579 + 0.0440366i
\(474\) 1.55433 0.456393i 0.0713928 0.0209628i
\(475\) 1.77411 12.3392i 0.0814017 0.566161i
\(476\) −4.60650 + 5.31619i −0.211139 + 0.243667i
\(477\) −14.4862 + 31.7204i −0.663278 + 1.45238i
\(478\) 1.00159 + 0.294093i 0.0458117 + 0.0134515i
\(479\) 11.2640 + 24.6646i 0.514664 + 1.12696i 0.971421 + 0.237365i \(0.0762836\pi\)
−0.456757 + 0.889591i \(0.650989\pi\)
\(480\) −0.00718058 0.0499420i −0.000327747 0.00227953i
\(481\) −3.06292 1.96842i −0.139657 0.0897523i
\(482\) 13.2149 0.601923
\(483\) 0.277390 + 0.869315i 0.0126217 + 0.0395552i
\(484\) −2.38824 −0.108557
\(485\) 0.703818 + 0.452316i 0.0319587 + 0.0205386i
\(486\) −0.719381 5.00341i −0.0326318 0.226959i
\(487\) 10.1381 + 22.1994i 0.459402 + 1.00595i 0.987624 + 0.156843i \(0.0501316\pi\)
−0.528222 + 0.849106i \(0.677141\pi\)
\(488\) −1.46845 0.431176i −0.0664736 0.0195184i
\(489\) 0.935857 2.04924i 0.0423209 0.0926698i
\(490\) −0.173656 + 0.200410i −0.00784498 + 0.00905359i
\(491\) 1.33159 9.26144i 0.0600940 0.417963i −0.937462 0.348088i \(-0.886831\pi\)
0.997556 0.0698748i \(-0.0222600\pi\)
\(492\) −2.05403 + 0.603118i −0.0926029 + 0.0271907i
\(493\) 35.8487 + 41.3716i 1.61454 + 1.86328i
\(494\) −7.31695 + 4.70232i −0.329205 + 0.211567i
\(495\) −1.94027 + 1.24694i −0.0872086 + 0.0560456i
\(496\) 1.34405 + 1.55111i 0.0603495 + 0.0696470i
\(497\) 4.03825 1.18574i 0.181140 0.0531876i
\(498\) −0.275459 + 1.91586i −0.0123436 + 0.0858516i
\(499\) −3.99234 + 4.60741i −0.178722 + 0.206256i −0.838041 0.545607i \(-0.816299\pi\)
0.659319 + 0.751863i \(0.270845\pi\)
\(500\) −1.09385 + 2.39520i −0.0489185 + 0.107117i
\(501\) −0.212253 0.0623230i −0.00948275 0.00278439i
\(502\) −6.90847 15.1274i −0.308340 0.675170i
\(503\) −0.798291 5.55224i −0.0355940 0.247562i 0.964254 0.264979i \(-0.0853649\pi\)
−0.999848 + 0.0174167i \(0.994456\pi\)
\(504\) 2.49331 + 1.60235i 0.111061 + 0.0713743i
\(505\) 4.92646 0.219224
\(506\) −10.8479 8.96627i −0.482247 0.398600i
\(507\) −0.222619 −0.00988685
\(508\) 7.02087 + 4.51204i 0.311501 + 0.200189i
\(509\) 0.255129 + 1.77446i 0.0113084 + 0.0786515i 0.994694 0.102877i \(-0.0328047\pi\)
−0.983386 + 0.181528i \(0.941896\pi\)
\(510\) −0.147439 0.322847i −0.00652873 0.0142959i
\(511\) 10.9605 + 3.21830i 0.484865 + 0.142369i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) 1.87911 2.16861i 0.0829646 0.0957463i
\(514\) −0.362760 + 2.52305i −0.0160007 + 0.111287i
\(515\) −2.04711 + 0.601087i −0.0902066 + 0.0264871i
\(516\) 0.0538068 + 0.0620964i 0.00236871 + 0.00273364i
\(517\) 23.9543 15.3945i 1.05351 0.677049i
\(518\) −0.890521 + 0.572303i −0.0391272 + 0.0251455i
\(519\) −1.75293 2.02299i −0.0769450 0.0887992i
\(520\) 0.875134 0.256963i 0.0383772 0.0112686i
\(521\) −1.41122 + 9.81522i −0.0618265 + 0.430013i 0.935274 + 0.353923i \(0.115153\pi\)
−0.997101 + 0.0760895i \(0.975757\pi\)
\(522\) 15.1043 17.4312i 0.661095 0.762944i
\(523\) −17.1020 + 37.4482i −0.747818 + 1.63749i 0.0224290 + 0.999748i \(0.492860\pi\)
−0.770247 + 0.637745i \(0.779867\pi\)
\(524\) 9.12291 + 2.67873i 0.398536 + 0.117021i
\(525\) 0.389645 + 0.853204i 0.0170055 + 0.0372369i
\(526\) 1.59276 + 11.0779i 0.0694475 + 0.483018i
\(527\) 12.1455 + 7.80543i 0.529065 + 0.340010i
\(528\) 0.558360 0.0242995
\(529\) 4.32923 + 22.5889i 0.188227 + 0.982125i
\(530\) 3.12007 0.135527
\(531\) −35.5962 22.8763i −1.54474 0.992745i
\(532\) 0.359883 + 2.50304i 0.0156029 + 0.108521i
\(533\) −16.0757 35.2010i −0.696318 1.52472i
\(534\) −0.871241 0.255820i −0.0377023 0.0110704i
\(535\) −1.19518 + 2.61709i −0.0516723 + 0.113146i
\(536\) 7.29528 8.41920i 0.315108 0.363654i
\(537\) −0.445823 + 3.10076i −0.0192387 + 0.133808i
\(538\) 13.1034 3.84752i 0.564929 0.165878i
\(539\) −1.92174 2.21781i −0.0827752 0.0955277i
\(540\) −0.253139 + 0.162683i −0.0108934 + 0.00700074i
\(541\) −14.7852 + 9.50188i −0.635666 + 0.408518i −0.818404 0.574644i \(-0.805141\pi\)
0.182737 + 0.983162i \(0.441504\pi\)
\(542\) −0.985351 1.13716i −0.0423244 0.0488450i
\(543\) 1.72902 0.507686i 0.0741993 0.0217869i
\(544\) 1.00109 6.96272i 0.0429213 0.298524i
\(545\) 1.73793 2.00567i 0.0744446 0.0859137i
\(546\) 0.271858 0.595287i 0.0116345 0.0254759i
\(547\) −12.4533 3.65662i −0.532464 0.156346i 0.00443788 0.999990i \(-0.498587\pi\)
−0.536902 + 0.843645i \(0.680406\pi\)
\(548\) −6.37944 13.9690i −0.272516 0.596727i
\(549\) 0.645529 + 4.48976i 0.0275505 + 0.191618i
\(550\) −12.1700 7.82120i −0.518932 0.333497i
\(551\) 19.6795 0.838373
\(552\) −0.703343 0.581346i −0.0299363 0.0247437i
\(553\) 8.51400 0.362052
\(554\) 6.76875 + 4.35001i 0.287576 + 0.184814i
\(555\) −0.00760110 0.0528668i −0.000322649 0.00224407i
\(556\) −2.54206 5.56633i −0.107807 0.236065i
\(557\) 24.2141 + 7.10991i 1.02599 + 0.301257i 0.751078 0.660214i \(-0.229534\pi\)
0.274908 + 0.961470i \(0.411352\pi\)
\(558\) 2.52695 5.53324i 0.106974 0.234241i
\(559\) −0.972660 + 1.12251i −0.0411391 + 0.0474771i
\(560\) 0.0377390 0.262481i 0.00159477 0.0110918i
\(561\) 3.76859 1.10656i 0.159110 0.0467189i
\(562\) −2.79135 3.22139i −0.117746 0.135886i
\(563\) 7.11400 4.57189i 0.299819 0.192682i −0.382078 0.924130i \(-0.624791\pi\)
0.681897 + 0.731448i \(0.261155\pi\)
\(564\) 1.55312 0.998133i 0.0653983 0.0420290i
\(565\) −3.44644 3.97740i −0.144993 0.167330i
\(566\) −8.28104 + 2.43153i −0.348078 + 0.102205i
\(567\) 1.23465 8.58719i 0.0518505 0.360628i
\(568\) −2.75613 + 3.18075i −0.115645 + 0.133461i
\(569\) 5.38533 11.7922i 0.225765 0.494356i −0.762522 0.646962i \(-0.776039\pi\)
0.988287 + 0.152606i \(0.0487666\pi\)
\(570\) −0.122423 0.0359466i −0.00512773 0.00150564i
\(571\) −8.93194 19.5582i −0.373790 0.818486i −0.999268 0.0382445i \(-0.987823\pi\)
0.625478 0.780242i \(-0.284904\pi\)
\(572\) 1.43644 + 9.99067i 0.0600607 + 0.417731i
\(573\) −2.77581 1.78390i −0.115961 0.0745236i
\(574\) −11.2511 −0.469614
\(575\) 7.18690 + 22.5231i 0.299715 + 0.939277i
\(576\) −2.96380 −0.123492
\(577\) −1.23145 0.791404i −0.0512659 0.0329466i 0.514757 0.857336i \(-0.327882\pi\)
−0.566023 + 0.824390i \(0.691519\pi\)
\(578\) −4.62263 32.1511i −0.192276 1.33731i
\(579\) −1.68265 3.68450i −0.0699287 0.153122i
\(580\) −1.98009 0.581406i −0.0822186 0.0241416i
\(581\) −4.22591 + 9.25345i −0.175320 + 0.383898i
\(582\) −0.393106 + 0.453669i −0.0162948 + 0.0188052i
\(583\) −4.91383 + 34.1764i −0.203510 + 1.41544i
\(584\) −10.9605 + 3.21830i −0.453550 + 0.133174i
\(585\) −1.77023 2.04296i −0.0731901 0.0844659i
\(586\) −23.1504 + 14.8779i −0.956334 + 0.614599i
\(587\) 21.7530 13.9798i 0.897842 0.577008i −0.00830750 0.999965i \(-0.502644\pi\)
0.906150 + 0.422957i \(0.139008\pi\)
\(588\) −0.124600 0.143796i −0.00513841 0.00593004i
\(589\) 4.97988 1.46222i 0.205192 0.0602499i
\(590\) −0.538789 + 3.74736i −0.0221816 + 0.154276i
\(591\) −0.233676 + 0.269677i −0.00961215 + 0.0110930i
\(592\) 0.439743 0.962904i 0.0180733 0.0395751i
\(593\) −10.9772 3.22321i −0.450782 0.132361i 0.0484584 0.998825i \(-0.484569\pi\)
−0.499240 + 0.866464i \(0.666387\pi\)
\(594\) −1.38331 3.02903i −0.0567579 0.124282i
\(595\) −0.265469 1.84637i −0.0108832 0.0756940i
\(596\) −5.50493 3.53780i −0.225491 0.144914i
\(597\) −0.989994 −0.0405177
\(598\) 8.59253 14.0804i 0.351375 0.575791i
\(599\) 17.0514 0.696700 0.348350 0.937365i \(-0.386742\pi\)
0.348350 + 0.937365i \(0.386742\pi\)
\(600\) −0.789067 0.507103i −0.0322135 0.0207024i
\(601\) −0.710940 4.94470i −0.0289998 0.201698i 0.970171 0.242423i \(-0.0779423\pi\)
−0.999170 + 0.0407251i \(0.987033\pi\)
\(602\) 0.179392 + 0.392813i 0.00731146 + 0.0160099i
\(603\) −31.6799 9.30205i −1.29010 0.378809i
\(604\) −6.52793 + 14.2942i −0.265618 + 0.581622i
\(605\) 0.414733 0.478627i 0.0168613 0.0194590i
\(606\) −0.503052 + 3.49880i −0.0204351 + 0.142129i
\(607\) −33.7262 + 9.90292i −1.36891 + 0.401947i −0.881894 0.471448i \(-0.843731\pi\)
−0.487012 + 0.873395i \(0.661913\pi\)
\(608\) −1.65600 1.91113i −0.0671597 0.0775064i
\(609\) −1.24565 + 0.800533i −0.0504764 + 0.0324392i
\(610\) 0.341417 0.219415i 0.0138236 0.00888387i
\(611\) 21.8551 + 25.2221i 0.884161 + 1.02038i
\(612\) −20.0038 + 5.87365i −0.808606 + 0.237428i
\(613\) 3.16935 22.0433i 0.128009 0.890322i −0.820065 0.572271i \(-0.806063\pi\)
0.948074 0.318051i \(-0.103028\pi\)
\(614\) 6.19659 7.15124i 0.250074 0.288601i
\(615\) 0.235824 0.516383i 0.00950934 0.0208226i
\(616\) 2.81571 + 0.826767i 0.113448 + 0.0333114i
\(617\) −8.93692 19.5691i −0.359787 0.787823i −0.999810 0.0194679i \(-0.993803\pi\)
0.640024 0.768355i \(-0.278924\pi\)
\(618\) −0.217860 1.51525i −0.00876363 0.0609524i
\(619\) −13.4236 8.62679i −0.539538 0.346740i 0.242320 0.970196i \(-0.422092\pi\)
−0.781858 + 0.623456i \(0.785728\pi\)
\(620\) −0.544260 −0.0218580
\(621\) −1.41122 + 5.25579i −0.0566304 + 0.210908i
\(622\) −2.00898 −0.0805526
\(623\) −4.01472 2.58010i −0.160846 0.103370i
\(624\) 0.0931345 + 0.647765i 0.00372836 + 0.0259313i
\(625\) 9.94925 + 21.7858i 0.397970 + 0.871432i
\(626\) −14.9498 4.38965i −0.597513 0.175446i
\(627\) 0.586554 1.28437i 0.0234247 0.0512929i
\(628\) 3.22223 3.71865i 0.128581 0.148390i
\(629\) 1.05972 7.37049i 0.0422537 0.293881i
\(630\) −0.754104 + 0.221425i −0.0300442 + 0.00882178i
\(631\) −7.12911 8.22743i −0.283805 0.327529i 0.595890 0.803066i \(-0.296799\pi\)
−0.879696 + 0.475537i \(0.842254\pi\)
\(632\) −7.16243 + 4.60301i −0.284906 + 0.183098i
\(633\) 4.34134 2.79001i 0.172553 0.110893i
\(634\) −6.43956 7.43165i −0.255748 0.295148i
\(635\) −2.12347 + 0.623508i −0.0842675 + 0.0247432i
\(636\) −0.318598 + 2.21589i −0.0126332 + 0.0878659i
\(637\) 2.25238 2.59938i 0.0892424 0.102991i
\(638\) 9.48702 20.7737i 0.375595 0.822438i
\(639\) 11.9686 + 3.51428i 0.473469 + 0.139023i
\(640\) 0.110160 + 0.241216i 0.00435445 + 0.00953491i
\(641\) 4.45824 + 31.0078i 0.176090 + 1.22473i 0.865704 + 0.500556i \(0.166871\pi\)
−0.689614 + 0.724177i \(0.742220\pi\)
\(642\) −1.73663 1.11606i −0.0685392 0.0440475i
\(643\) −8.95337 −0.353086 −0.176543 0.984293i \(-0.556492\pi\)
−0.176543 + 0.984293i \(0.556492\pi\)
\(644\) −2.68603 3.97307i −0.105844 0.156561i
\(645\) −0.0217886 −0.000857925
\(646\) −14.9644 9.61706i −0.588768 0.378378i
\(647\) 3.11954 + 21.6969i 0.122642 + 0.852992i 0.954544 + 0.298070i \(0.0963429\pi\)
−0.831902 + 0.554922i \(0.812748\pi\)
\(648\) 3.60393 + 7.89150i 0.141576 + 0.310008i
\(649\) −40.1990 11.8035i −1.57795 0.463328i
\(650\) 7.04357 15.4233i 0.276272 0.604950i
\(651\) −0.255731 + 0.295129i −0.0100229 + 0.0115670i
\(652\) −1.68503 + 11.7197i −0.0659911 + 0.458978i
\(653\) 13.7917 4.04962i 0.539713 0.158474i −0.000503994 1.00000i \(-0.500160\pi\)
0.540217 + 0.841526i \(0.318342\pi\)
\(654\) 1.24698 + 1.43909i 0.0487608 + 0.0562729i
\(655\) −2.12109 + 1.36314i −0.0828779 + 0.0532624i
\(656\) 9.46507 6.08283i 0.369549 0.237495i
\(657\) 22.1711 + 25.5868i 0.864976 + 0.998236i
\(658\) 9.31007 2.73368i 0.362944 0.106570i
\(659\) −0.682370 + 4.74599i −0.0265814 + 0.184877i −0.998786 0.0492542i \(-0.984316\pi\)
0.972205 + 0.234132i \(0.0752247\pi\)
\(660\) −0.0969626 + 0.111901i −0.00377426 + 0.00435573i
\(661\) 5.57169 12.2003i 0.216714 0.474537i −0.769786 0.638303i \(-0.779637\pi\)
0.986499 + 0.163766i \(0.0523642\pi\)
\(662\) −13.4066 3.93654i −0.521063 0.152998i
\(663\) 1.91234 + 4.18744i 0.0742691 + 0.162627i
\(664\) −1.44773 10.0692i −0.0561829 0.390760i
\(665\) −0.564130 0.362544i −0.0218760 0.0140589i
\(666\) −3.13737 −0.121571
\(667\) −33.5793 + 16.2902i −1.30019 + 0.630758i
\(668\) 1.16263 0.0449837
\(669\) −3.85782 2.47927i −0.149152 0.0958543i
\(670\) 0.420421 + 2.92409i 0.0162423 + 0.112967i
\(671\) 1.86572 + 4.08535i 0.0720251 + 0.157713i
\(672\) 0.182562 + 0.0536050i 0.00704248 + 0.00206786i
\(673\) −1.93286 + 4.23237i −0.0745062 + 0.163146i −0.943220 0.332168i \(-0.892220\pi\)
0.868714 + 0.495314i \(0.164947\pi\)
\(674\) −2.99513 + 3.45656i −0.115368 + 0.133142i
\(675\) −0.796086 + 5.53690i −0.0306414 + 0.213115i
\(676\) 1.12263 0.329633i 0.0431779 0.0126782i
\(677\) −7.53054 8.69071i −0.289422 0.334011i 0.592355 0.805677i \(-0.298198\pi\)
−0.881777 + 0.471666i \(0.843653\pi\)
\(678\) 3.17670 2.04154i 0.122000 0.0784049i
\(679\) −2.65411 + 1.70570i −0.101856 + 0.0654586i
\(680\) 1.22155 + 1.40975i 0.0468444 + 0.0540613i
\(681\) −2.13982 + 0.628309i −0.0819982 + 0.0240769i
\(682\) 0.857159 5.96167i 0.0328223 0.228284i
\(683\) −24.7805 + 28.5982i −0.948198 + 1.09428i 0.0472418 + 0.998883i \(0.484957\pi\)
−0.995439 + 0.0953950i \(0.969589\pi\)
\(684\) −3.11345 + 6.81751i −0.119046 + 0.260674i
\(685\) 3.90735 + 1.14730i 0.149292 + 0.0438362i
\(686\) −0.415415 0.909632i −0.0158606 0.0347299i
\(687\) −0.644676 4.48382i −0.0245959 0.171068i
\(688\) −0.363285 0.233469i −0.0138501 0.00890092i
\(689\) −40.4684 −1.54172
\(690\) 0.238647 0.0400025i 0.00908514 0.00152287i
\(691\) −31.3101 −1.19109 −0.595547 0.803320i \(-0.703065\pi\)
−0.595547 + 0.803320i \(0.703065\pi\)
\(692\) 11.8351 + 7.60598i 0.449905 + 0.289136i
\(693\) −1.23778 8.60897i −0.0470195 0.327028i
\(694\) −2.04578 4.47963i −0.0776567 0.170045i
\(695\) 1.55699 + 0.457174i 0.0590600 + 0.0173416i
\(696\) 0.615109 1.34690i 0.0233157 0.0510542i
\(697\) 51.8284 59.8132i 1.96314 2.26559i
\(698\) 0.763946 5.31336i 0.0289158 0.201114i
\(699\) 0.946768 0.277996i 0.0358100 0.0105148i
\(700\) −3.22825 3.72560i −0.122017 0.140815i
\(701\) 1.85112 1.18964i 0.0699159 0.0449322i −0.505216 0.862993i \(-0.668587\pi\)
0.575132 + 0.818061i \(0.304951\pi\)
\(702\) 3.28330 2.11005i 0.123920 0.0796386i
\(703\) −1.75298 2.02305i −0.0661150 0.0763007i
\(704\) −2.81571 + 0.826767i −0.106121 + 0.0311599i
\(705\) −0.0696739 + 0.484593i −0.00262407 + 0.0182508i
\(706\) −3.30714 + 3.81665i −0.124466 + 0.143641i
\(707\) −7.71749 + 16.8989i −0.290246 + 0.635550i
\(708\) −2.60638 0.765303i −0.0979538 0.0287618i
\(709\) −19.8459 43.4565i −0.745328 1.63204i −0.774585 0.632469i \(-0.782041\pi\)
0.0292571 0.999572i \(-0.490686\pi\)
\(710\) −0.158834 1.10471i −0.00596092 0.0414591i
\(711\) 21.2280 + 13.6424i 0.796112 + 0.511630i
\(712\) 4.77230 0.178850
\(713\) −7.28682 + 6.61723i −0.272894 + 0.247817i
\(714\) 1.33841 0.0500889
\(715\) −2.25167 1.44706i −0.0842078 0.0541171i
\(716\) −2.34312 16.2967i −0.0875663 0.609037i
\(717\) −0.0825085 0.180668i −0.00308134 0.00674719i
\(718\) −29.6860 8.71660i −1.10787 0.325301i
\(719\) 15.1269 33.1234i 0.564140 1.23529i −0.385719 0.922616i \(-0.626047\pi\)
0.949859 0.312678i \(-0.101226\pi\)
\(720\) 0.514681 0.593974i 0.0191810 0.0221361i
\(721\) 1.14501 7.96373i 0.0426424 0.296585i
\(722\) 12.0947 3.55131i 0.450117 0.132166i
\(723\) −1.64658 1.90025i −0.0612369 0.0706711i
\(724\) −7.96739 + 5.12033i −0.296106 + 0.190296i
\(725\) −32.2736 + 20.7410i −1.19861 + 0.770301i
\(726\) 0.297575 + 0.343420i 0.0110440 + 0.0127455i
\(727\) −23.2467 + 6.82585i −0.862173 + 0.253157i −0.682783 0.730621i \(-0.739230\pi\)
−0.179390 + 0.983778i \(0.557412\pi\)
\(728\) −0.489488 + 3.40446i −0.0181416 + 0.126178i
\(729\) 16.4139 18.9426i 0.607921 0.701579i
\(730\) 1.25838 2.75547i 0.0465748 0.101985i
\(731\) −2.91464 0.855814i −0.107802 0.0316534i
\(732\) 0.120967 + 0.264881i 0.00447108 + 0.00979030i
\(733\) −1.50183 10.4455i −0.0554713 0.385812i −0.998577 0.0533198i \(-0.983020\pi\)
0.943106 0.332492i \(-0.107889\pi\)
\(734\) −12.8628 8.26640i −0.474773 0.305118i
\(735\) 0.0504556 0.00186108
\(736\) 4.40763 + 1.89018i 0.162467 + 0.0696729i
\(737\) −32.6918 −1.20422
\(738\) −28.0525 18.0283i −1.03263 0.663630i
\(739\) −5.59968 38.9467i −0.205988 1.43268i −0.786080 0.618125i \(-0.787892\pi\)
0.580092 0.814551i \(-0.303017\pi\)
\(740\) 0.116611 + 0.255343i 0.00428671 + 0.00938659i
\(741\) 1.58787 + 0.466239i 0.0583317 + 0.0171277i
\(742\) −4.88772 + 10.7026i −0.179434 + 0.392905i
\(743\) 4.99279 5.76198i 0.183168 0.211387i −0.656739 0.754118i \(-0.728064\pi\)
0.839906 + 0.542732i \(0.182610\pi\)
\(744\) 0.0555756 0.386537i 0.00203750 0.0141711i
\(745\) 1.66497 0.488880i 0.0609999 0.0179112i
\(746\) 11.6700 + 13.4679i 0.427270 + 0.493096i
\(747\) −25.3637 + 16.3003i −0.928011 + 0.596396i
\(748\) −17.3658 + 11.1603i −0.634957 + 0.408062i
\(749\) −7.10494 8.19954i −0.259609 0.299605i
\(750\) 0.480713 0.141150i 0.0175532 0.00515408i
\(751\) −2.10770 + 14.6594i −0.0769109 + 0.534927i 0.914545 + 0.404484i \(0.132549\pi\)
−0.991456 + 0.130443i \(0.958360\pi\)
\(752\) −6.35419 + 7.33312i −0.231713 + 0.267411i
\(753\) −1.31447 + 2.87828i −0.0479019 + 0.104891i
\(754\) 25.6824 + 7.54103i 0.935298 + 0.274628i
\(755\) −1.73108 3.79053i −0.0630004 0.137952i
\(756\) −0.161488 1.12318i −0.00587328 0.0408496i
\(757\) 4.78837 + 3.07730i 0.174036 + 0.111846i 0.624759 0.780818i \(-0.285197\pi\)
−0.450723 + 0.892664i \(0.648834\pi\)
\(758\) 4.17904 0.151790
\(759\) 0.0623298 + 2.67708i 0.00226243 + 0.0971717i
\(760\) 0.670582 0.0243246
\(761\) 35.6678 + 22.9223i 1.29296 + 0.830933i 0.992427 0.122839i \(-0.0391998\pi\)
0.300531 + 0.953772i \(0.402836\pi\)
\(762\) −0.225987 1.57177i −0.00818664 0.0569393i
\(763\) 4.15742 + 9.10348i 0.150509 + 0.329568i
\(764\) 16.6393 + 4.88574i 0.601989 + 0.176760i
\(765\) 2.29664 5.02895i 0.0830354 0.181822i
\(766\) −19.6670 + 22.6969i −0.710598 + 0.820074i
\(767\) 6.98827 48.6045i 0.252332 1.75501i
\(768\) −0.182562 + 0.0536050i −0.00658764 + 0.00193430i
\(769\) 11.2204 + 12.9491i 0.404619 + 0.466955i 0.921090 0.389349i \(-0.127300\pi\)
−0.516471 + 0.856305i \(0.672755\pi\)
\(770\) −0.654657 + 0.420722i −0.0235922 + 0.0151618i
\(771\) 0.408004 0.262208i 0.0146939 0.00944321i
\(772\) 13.9410 + 16.0887i 0.501747 + 0.579046i
\(773\) 38.7812 11.3872i 1.39486