Properties

Label 177.2.f.a.50.7
Level $177$
Weight $2$
Character 177.50
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 50.7
Character \(\chi\) \(=\) 177.50
Dual form 177.2.f.a.131.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.740497 + 0.871780i) q^{2} +(-1.61361 + 0.629505i) q^{3} +(0.111899 + 0.682553i) q^{4} +(-1.53444 + 0.813510i) q^{5} +(0.646079 - 1.87286i) q^{6} +(0.0293475 + 0.00319173i) q^{7} +(-2.63809 - 1.58728i) q^{8} +(2.20745 - 2.03155i) q^{9} +O(q^{10})\) \(q+(-0.740497 + 0.871780i) q^{2} +(-1.61361 + 0.629505i) q^{3} +(0.111899 + 0.682553i) q^{4} +(-1.53444 + 0.813510i) q^{5} +(0.646079 - 1.87286i) q^{6} +(0.0293475 + 0.00319173i) q^{7} +(-2.63809 - 1.58728i) q^{8} +(2.20745 - 2.03155i) q^{9} +(0.427048 - 1.94010i) q^{10} +(0.0537278 + 0.0181030i) q^{11} +(-0.610231 - 1.03093i) q^{12} +(-5.37021 - 1.49103i) q^{13} +(-0.0245142 + 0.0232211i) q^{14} +(1.96388 - 2.27862i) q^{15} +(2.02634 - 0.682753i) q^{16} +(-0.278487 - 2.56064i) q^{17} +(0.136455 + 3.42876i) q^{18} +(-0.163123 + 3.00862i) q^{19} +(-0.726966 - 0.956307i) q^{20} +(-0.0493645 + 0.0133242i) q^{21} +(-0.0555671 + 0.0334336i) q^{22} +(-2.31790 + 1.07238i) q^{23} +(5.25603 + 0.900561i) q^{24} +(-1.11322 + 1.64188i) q^{25} +(5.27648 - 3.57754i) q^{26} +(-2.28308 + 4.66771i) q^{27} +(0.00110542 + 0.0203884i) q^{28} +(-2.59690 + 2.20583i) q^{29} +(0.532215 + 3.39938i) q^{30} +(1.74775 - 0.0947604i) q^{31} +(1.37387 - 3.44816i) q^{32} +(-0.0980914 + 0.00461083i) q^{33} +(2.43854 + 1.65337i) q^{34} +(-0.0476285 + 0.0189769i) q^{35} +(1.63365 + 1.27937i) q^{36} +(1.62628 + 2.70289i) q^{37} +(-2.50206 - 2.37008i) q^{38} +(9.60402 - 0.974640i) q^{39} +(5.33926 + 0.289486i) q^{40} +(-4.30405 + 9.30305i) q^{41} +(0.0249384 - 0.0529015i) q^{42} +(2.60680 + 7.73671i) q^{43} +(-0.00634418 + 0.0386978i) q^{44} +(-1.73451 + 4.91307i) q^{45} +(0.781523 - 2.81479i) q^{46} +(2.26735 - 4.27668i) q^{47} +(-2.83992 + 2.37729i) q^{48} +(-6.83549 - 1.50461i) q^{49} +(-0.607020 - 2.18629i) q^{50} +(2.06131 + 3.95656i) q^{51} +(0.416788 - 3.83230i) q^{52} +(-0.0348464 - 0.158309i) q^{53} +(-2.37861 - 5.44677i) q^{54} +(-0.0971691 + 0.0159301i) q^{55} +(-0.0723550 - 0.0550028i) q^{56} +(-1.63073 - 4.95741i) q^{57} -3.89733i q^{58} +(1.31520 + 7.56771i) q^{59} +(1.77504 + 1.08547i) q^{60} +(-8.42248 - 7.15412i) q^{61} +(-1.21159 + 1.59383i) q^{62} +(0.0712671 - 0.0525752i) q^{63} +(3.99185 + 7.52944i) q^{64} +(9.45325 - 2.08082i) q^{65} +(0.0686167 - 0.0889284i) q^{66} +(-4.87035 + 8.09459i) q^{67} +(1.71661 - 0.476615i) q^{68} +(3.06512 - 3.18952i) q^{69} +(0.0187250 - 0.0555739i) q^{70} +(4.79952 + 2.54455i) q^{71} +(-9.04807 + 1.85555i) q^{72} +(-9.22305 - 9.73665i) q^{73} +(-3.56058 - 0.583727i) q^{74} +(0.762729 - 3.35012i) q^{75} +(-2.07180 + 0.225321i) q^{76} +(0.00151900 + 0.000702762i) q^{77} +(-6.26207 + 9.09431i) q^{78} +(13.0730 - 9.93783i) q^{79} +(-2.55387 + 2.69609i) q^{80} +(0.745636 - 8.96906i) q^{81} +(-4.92308 - 10.6411i) q^{82} +(-2.73084 - 6.85390i) q^{83} +(-0.0146183 - 0.0322029i) q^{84} +(2.51043 + 3.70261i) q^{85} +(-8.67504 - 3.45645i) q^{86} +(2.80179 - 5.19410i) q^{87} +(-0.113004 - 0.133039i) q^{88} +(1.93133 + 2.27374i) q^{89} +(-2.99871 - 5.15023i) q^{90} +(-0.152843 - 0.0608983i) q^{91} +(-0.991324 - 1.46209i) q^{92} +(-2.76053 + 1.25313i) q^{93} +(2.04936 + 5.14349i) q^{94} +(-2.19724 - 4.74926i) q^{95} +(-0.0462532 + 6.42882i) q^{96} +(4.46039 - 4.70877i) q^{97} +(6.37334 - 4.84489i) q^{98} +(0.155378 - 0.0691891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.740497 + 0.871780i −0.523610 + 0.616441i −0.958864 0.283866i \(-0.908383\pi\)
0.435254 + 0.900308i \(0.356659\pi\)
\(3\) −1.61361 + 0.629505i −0.931616 + 0.363445i
\(4\) 0.111899 + 0.682553i 0.0559494 + 0.341277i
\(5\) −1.53444 + 0.813510i −0.686223 + 0.363813i −0.774756 0.632261i \(-0.782127\pi\)
0.0885324 + 0.996073i \(0.471782\pi\)
\(6\) 0.646079 1.87286i 0.263761 0.764590i
\(7\) 0.0293475 + 0.00319173i 0.0110923 + 0.00120636i 0.113663 0.993519i \(-0.463741\pi\)
−0.102571 + 0.994726i \(0.532707\pi\)
\(8\) −2.63809 1.58728i −0.932704 0.561189i
\(9\) 2.20745 2.03155i 0.735815 0.677182i
\(10\) 0.427048 1.94010i 0.135044 0.613512i
\(11\) 0.0537278 + 0.0181030i 0.0161995 + 0.00545826i 0.327390 0.944889i \(-0.393831\pi\)
−0.311190 + 0.950348i \(0.600728\pi\)
\(12\) −0.610231 1.03093i −0.176159 0.297604i
\(13\) −5.37021 1.49103i −1.48943 0.413538i −0.574956 0.818184i \(-0.694981\pi\)
−0.914473 + 0.404646i \(0.867395\pi\)
\(14\) −0.0245142 + 0.0232211i −0.00655169 + 0.00620609i
\(15\) 1.96388 2.27862i 0.507070 0.588338i
\(16\) 2.02634 0.682753i 0.506585 0.170688i
\(17\) −0.278487 2.56064i −0.0675429 0.621047i −0.978168 0.207814i \(-0.933365\pi\)
0.910625 0.413233i \(-0.135600\pi\)
\(18\) 0.136455 + 3.42876i 0.0321629 + 0.808167i
\(19\) −0.163123 + 3.00862i −0.0374229 + 0.690225i 0.918287 + 0.395915i \(0.129573\pi\)
−0.955710 + 0.294310i \(0.904910\pi\)
\(20\) −0.726966 0.956307i −0.162554 0.213837i
\(21\) −0.0493645 + 0.0133242i −0.0107722 + 0.00290758i
\(22\) −0.0555671 + 0.0334336i −0.0118469 + 0.00712807i
\(23\) −2.31790 + 1.07238i −0.483316 + 0.223606i −0.646389 0.763008i \(-0.723722\pi\)
0.163073 + 0.986614i \(0.447860\pi\)
\(24\) 5.25603 + 0.900561i 1.07288 + 0.183826i
\(25\) −1.11322 + 1.64188i −0.222644 + 0.328376i
\(26\) 5.27648 3.57754i 1.03480 0.701613i
\(27\) −2.28308 + 4.66771i −0.439379 + 0.898302i
\(28\) 0.00110542 + 0.0203884i 0.000208906 + 0.00385304i
\(29\) −2.59690 + 2.20583i −0.482233 + 0.409612i −0.855253 0.518211i \(-0.826598\pi\)
0.373020 + 0.927823i \(0.378322\pi\)
\(30\) 0.532215 + 3.39938i 0.0971687 + 0.620639i
\(31\) 1.74775 0.0947604i 0.313906 0.0170195i 0.103487 0.994631i \(-0.467000\pi\)
0.210419 + 0.977611i \(0.432517\pi\)
\(32\) 1.37387 3.44816i 0.242868 0.609554i
\(33\) −0.0980914 + 0.00461083i −0.0170755 + 0.000802642i
\(34\) 2.43854 + 1.65337i 0.418205 + 0.283550i
\(35\) −0.0476285 + 0.0189769i −0.00805069 + 0.00320769i
\(36\) 1.63365 + 1.27937i 0.272275 + 0.213229i
\(37\) 1.62628 + 2.70289i 0.267358 + 0.444353i 0.961231 0.275745i \(-0.0889246\pi\)
−0.693873 + 0.720098i \(0.744097\pi\)
\(38\) −2.50206 2.37008i −0.405888 0.384478i
\(39\) 9.60402 0.974640i 1.53787 0.156067i
\(40\) 5.33926 + 0.289486i 0.844211 + 0.0457718i
\(41\) −4.30405 + 9.30305i −0.672179 + 1.45289i 0.207941 + 0.978141i \(0.433324\pi\)
−0.880120 + 0.474751i \(0.842538\pi\)
\(42\) 0.0249384 0.0529015i 0.00384809 0.00816287i
\(43\) 2.60680 + 7.73671i 0.397534 + 1.17984i 0.940415 + 0.340028i \(0.110437\pi\)
−0.542881 + 0.839809i \(0.682667\pi\)
\(44\) −0.00634418 + 0.0386978i −0.000956421 + 0.00583391i
\(45\) −1.73451 + 4.91307i −0.258566 + 0.732397i
\(46\) 0.781523 2.81479i 0.115229 0.415018i
\(47\) 2.26735 4.27668i 0.330727 0.623817i −0.661260 0.750157i \(-0.729978\pi\)
0.991987 + 0.126339i \(0.0403229\pi\)
\(48\) −2.83992 + 2.37729i −0.409906 + 0.343132i
\(49\) −6.83549 1.50461i −0.976499 0.214944i
\(50\) −0.607020 2.18629i −0.0858457 0.309188i
\(51\) 2.06131 + 3.95656i 0.288641 + 0.554029i
\(52\) 0.416788 3.83230i 0.0577981 0.531444i
\(53\) −0.0348464 0.158309i −0.00478653 0.0217454i 0.974167 0.225830i \(-0.0725093\pi\)
−0.978953 + 0.204084i \(0.934578\pi\)
\(54\) −2.37861 5.44677i −0.323688 0.741211i
\(55\) −0.0971691 + 0.0159301i −0.0131023 + 0.00214801i
\(56\) −0.0723550 0.0550028i −0.00966884 0.00735006i
\(57\) −1.63073 4.95741i −0.215995 0.656626i
\(58\) 3.89733i 0.511745i
\(59\) 1.31520 + 7.56771i 0.171224 + 0.985232i
\(60\) 1.77504 + 1.08547i 0.229156 + 0.140134i
\(61\) −8.42248 7.15412i −1.07839 0.915991i −0.0816467 0.996661i \(-0.526018\pi\)
−0.996741 + 0.0806707i \(0.974294\pi\)
\(62\) −1.21159 + 1.59383i −0.153873 + 0.202416i
\(63\) 0.0712671 0.0525752i 0.00897881 0.00662385i
\(64\) 3.99185 + 7.52944i 0.498982 + 0.941180i
\(65\) 9.45325 2.08082i 1.17253 0.258094i
\(66\) 0.0686167 0.0889284i 0.00844614 0.0109463i
\(67\) −4.87035 + 8.09459i −0.595008 + 0.988911i 0.402294 + 0.915510i \(0.368213\pi\)
−0.997303 + 0.0734009i \(0.976615\pi\)
\(68\) 1.71661 0.476615i 0.208170 0.0577981i
\(69\) 3.06512 3.18952i 0.368996 0.383974i
\(70\) 0.0187250 0.0555739i 0.00223807 0.00664235i
\(71\) 4.79952 + 2.54455i 0.569599 + 0.301982i 0.728204 0.685360i \(-0.240355\pi\)
−0.158606 + 0.987342i \(0.550700\pi\)
\(72\) −9.04807 + 1.85555i −1.06633 + 0.218679i
\(73\) −9.22305 9.73665i −1.07948 1.13959i −0.989631 0.143634i \(-0.954121\pi\)
−0.0898453 0.995956i \(-0.528637\pi\)
\(74\) −3.56058 0.583727i −0.413909 0.0678569i
\(75\) 0.762729 3.35012i 0.0880724 0.386839i
\(76\) −2.07180 + 0.225321i −0.237651 + 0.0258461i
\(77\) 0.00151900 0.000702762i 0.000173106 8.00872e-5i
\(78\) −6.26207 + 9.09431i −0.709040 + 1.02973i
\(79\) 13.0730 9.93783i 1.47083 1.11809i 0.503675 0.863893i \(-0.331981\pi\)
0.967152 0.254201i \(-0.0818123\pi\)
\(80\) −2.55387 + 2.69609i −0.285532 + 0.301432i
\(81\) 0.745636 8.96906i 0.0828485 0.996562i
\(82\) −4.92308 10.6411i −0.543663 1.17511i
\(83\) −2.73084 6.85390i −0.299749 0.752313i −0.999288 0.0377192i \(-0.987991\pi\)
0.699539 0.714594i \(-0.253389\pi\)
\(84\) −0.0146183 0.0322029i −0.00159499 0.00351362i
\(85\) 2.51043 + 3.70261i 0.272294 + 0.401604i
\(86\) −8.67504 3.45645i −0.935454 0.372719i
\(87\) 2.80179 5.19410i 0.300384 0.556866i
\(88\) −0.113004 0.133039i −0.0120463 0.0141820i
\(89\) 1.93133 + 2.27374i 0.204721 + 0.241016i 0.854935 0.518735i \(-0.173597\pi\)
−0.650215 + 0.759751i \(0.725321\pi\)
\(90\) −2.99871 5.15023i −0.316092 0.542881i
\(91\) −0.152843 0.0608983i −0.0160223 0.00638388i
\(92\) −0.991324 1.46209i −0.103353 0.152434i
\(93\) −2.76053 + 1.25313i −0.286254 + 0.129943i
\(94\) 2.04936 + 5.14349i 0.211375 + 0.530511i
\(95\) −2.19724 4.74926i −0.225432 0.487263i
\(96\) −0.0462532 + 6.42882i −0.00472070 + 0.656139i
\(97\) 4.46039 4.70877i 0.452883 0.478103i −0.459068 0.888401i \(-0.651817\pi\)
0.911952 + 0.410298i \(0.134575\pi\)
\(98\) 6.37334 4.84489i 0.643805 0.489408i
\(99\) 0.155378 0.0691891i 0.0156161 0.00695377i
\(100\) −1.24524 0.576108i −0.124524 0.0576108i
\(101\) −3.23887 + 0.352248i −0.322280 + 0.0350500i −0.267829 0.963466i \(-0.586306\pi\)
−0.0544505 + 0.998516i \(0.517341\pi\)
\(102\) −4.97564 1.13281i −0.492662 0.112165i
\(103\) −3.35022 0.549241i −0.330107 0.0541184i −0.00555070 0.999985i \(-0.501767\pi\)
−0.324557 + 0.945866i \(0.605215\pi\)
\(104\) 11.8004 + 12.4575i 1.15712 + 1.22156i
\(105\) 0.0649075 0.0606037i 0.00633433 0.00591431i
\(106\) 0.163814 + 0.0868488i 0.0159111 + 0.00843550i
\(107\) −2.70276 + 8.02152i −0.261286 + 0.775469i 0.734058 + 0.679086i \(0.237624\pi\)
−0.995344 + 0.0963829i \(0.969273\pi\)
\(108\) −3.44144 1.03601i −0.331152 0.0996901i
\(109\) 6.92673 1.92320i 0.663460 0.184209i 0.0805564 0.996750i \(-0.474330\pi\)
0.582904 + 0.812541i \(0.301916\pi\)
\(110\) 0.0580659 0.0965063i 0.00553637 0.00920151i
\(111\) −4.32565 3.33765i −0.410573 0.316796i
\(112\) 0.0616471 0.0135696i 0.00582510 0.00128220i
\(113\) 9.34071 + 17.6185i 0.878700 + 1.65740i 0.745693 + 0.666290i \(0.232119\pi\)
0.133008 + 0.991115i \(0.457537\pi\)
\(114\) 5.52932 + 2.24931i 0.517868 + 0.210667i
\(115\) 2.68430 3.53114i 0.250312 0.329280i
\(116\) −1.79619 1.52569i −0.166772 0.141657i
\(117\) −14.8836 + 7.61847i −1.37599 + 0.704327i
\(118\) −7.57128 4.45730i −0.696993 0.410328i
\(119\) 0.0760372i 0.00697032i
\(120\) −8.79769 + 2.89398i −0.803116 + 0.264183i
\(121\) −8.75446 6.65497i −0.795860 0.604997i
\(122\) 12.4736 2.04495i 1.12931 0.185141i
\(123\) 1.08872 17.7209i 0.0981664 1.59784i
\(124\) 0.260251 + 1.18233i 0.0233712 + 0.106176i
\(125\) 1.31137 12.0578i 0.117292 1.07849i
\(126\) −0.00693906 + 0.101061i −0.000618180 + 0.00900323i
\(127\) 4.85487 + 17.4857i 0.430800 + 1.55160i 0.786855 + 0.617137i \(0.211708\pi\)
−0.356055 + 0.934465i \(0.615878\pi\)
\(128\) −2.26997 0.499658i −0.200639 0.0441639i
\(129\) −9.07665 10.8430i −0.799155 0.954674i
\(130\) −5.18608 + 9.78199i −0.454850 + 0.857937i
\(131\) −4.71669 + 16.9880i −0.412099 + 1.48425i 0.408509 + 0.912754i \(0.366049\pi\)
−0.820608 + 0.571492i \(0.806365\pi\)
\(132\) −0.0141235 0.0664366i −0.00122929 0.00578257i
\(133\) −0.0143899 + 0.0877748i −0.00124777 + 0.00761104i
\(134\) −3.45022 10.2399i −0.298054 0.884592i
\(135\) −0.293980 9.01964i −0.0253018 0.776287i
\(136\) −3.32979 + 7.19723i −0.285527 + 0.617158i
\(137\) 4.44354 + 0.240922i 0.379637 + 0.0205833i 0.242970 0.970034i \(-0.421878\pi\)
0.136667 + 0.990617i \(0.456361\pi\)
\(138\) 0.510857 + 5.03394i 0.0434870 + 0.428517i
\(139\) 11.6543 + 11.0395i 0.988501 + 0.936358i 0.997976 0.0635972i \(-0.0202573\pi\)
−0.00947461 + 0.999955i \(0.503016\pi\)
\(140\) −0.0182823 0.0303855i −0.00154514 0.00256804i
\(141\) −0.966418 + 8.32818i −0.0813871 + 0.701359i
\(142\) −5.77231 + 2.29990i −0.484402 + 0.193003i
\(143\) −0.261538 0.177327i −0.0218709 0.0148288i
\(144\) 3.08599 5.62374i 0.257166 0.468645i
\(145\) 2.19033 5.49732i 0.181897 0.456527i
\(146\) 15.3179 0.830510i 1.26771 0.0687335i
\(147\) 11.9769 1.87514i 0.987842 0.154659i
\(148\) −1.66289 + 1.41247i −0.136689 + 0.116104i
\(149\) −1.08966 20.0977i −0.0892687 1.64646i −0.609752 0.792592i \(-0.708731\pi\)
0.520483 0.853872i \(-0.325752\pi\)
\(150\) 2.35577 + 3.14569i 0.192348 + 0.256844i
\(151\) 3.44227 2.33392i 0.280128 0.189932i −0.413029 0.910718i \(-0.635529\pi\)
0.693158 + 0.720786i \(0.256219\pi\)
\(152\) 5.20587 7.67808i 0.422251 0.622774i
\(153\) −5.81681 5.08672i −0.470261 0.411237i
\(154\) −0.00173746 0.000803837i −0.000140009 6.47750e-5i
\(155\) −2.60474 + 1.56722i −0.209217 + 0.125882i
\(156\) 1.73992 + 6.44619i 0.139305 + 0.516108i
\(157\) 3.03546 + 3.99308i 0.242256 + 0.318683i 0.901112 0.433587i \(-0.142752\pi\)
−0.658856 + 0.752269i \(0.728959\pi\)
\(158\) −1.01690 + 18.7557i −0.0809006 + 1.49212i
\(159\) 0.155885 + 0.233512i 0.0123625 + 0.0185187i
\(160\) 0.696983 + 6.40865i 0.0551013 + 0.506648i
\(161\) −0.0714473 + 0.0240734i −0.00563084 + 0.00189725i
\(162\) 7.26690 + 7.29159i 0.570942 + 0.572881i
\(163\) 0.684698 0.648580i 0.0536297 0.0508007i −0.660415 0.750900i \(-0.729620\pi\)
0.714045 + 0.700100i \(0.246861\pi\)
\(164\) −6.83144 1.89674i −0.533446 0.148111i
\(165\) 0.146765 0.0868733i 0.0114256 0.00676308i
\(166\) 7.99727 + 2.69459i 0.620709 + 0.209141i
\(167\) −0.684848 + 3.11130i −0.0529952 + 0.240759i −0.995671 0.0929514i \(-0.970370\pi\)
0.942675 + 0.333711i \(0.108301\pi\)
\(168\) 0.151377 + 0.0432050i 0.0116790 + 0.00333334i
\(169\) 15.4769 + 9.31212i 1.19053 + 0.716317i
\(170\) −5.08682 0.553225i −0.390141 0.0424304i
\(171\) 5.75207 + 6.97276i 0.439872 + 0.533220i
\(172\) −4.98902 + 2.64501i −0.380409 + 0.201680i
\(173\) 3.33396 + 20.3363i 0.253476 + 1.54614i 0.740082 + 0.672516i \(0.234786\pi\)
−0.486606 + 0.873621i \(0.661765\pi\)
\(174\) 2.45339 + 6.28876i 0.185991 + 0.476750i
\(175\) −0.0379107 + 0.0446319i −0.00286578 + 0.00337385i
\(176\) 0.121231 0.00913810
\(177\) −6.88612 11.3834i −0.517593 0.855627i
\(178\) −3.41234 −0.255766
\(179\) 11.7724 13.8595i 0.879909 1.03591i −0.119165 0.992875i \(-0.538022\pi\)
0.999074 0.0430345i \(-0.0137025\pi\)
\(180\) −3.54752 0.634131i −0.264417 0.0472654i
\(181\) 3.15402 + 19.2387i 0.234437 + 1.43000i 0.797366 + 0.603495i \(0.206226\pi\)
−0.562930 + 0.826505i \(0.690326\pi\)
\(182\) 0.166270 0.0881507i 0.0123247 0.00653416i
\(183\) 18.0941 + 6.24193i 1.33755 + 0.461417i
\(184\) 7.81699 + 0.850149i 0.576276 + 0.0626738i
\(185\) −4.69425 2.82444i −0.345128 0.207657i
\(186\) 0.951714 3.33451i 0.0697831 0.244498i
\(187\) 0.0313928 0.142619i 0.00229567 0.0104293i
\(188\) 3.17277 + 1.06903i 0.231398 + 0.0779671i
\(189\) −0.0819007 + 0.129699i −0.00595740 + 0.00943419i
\(190\) 5.76735 + 1.60130i 0.418408 + 0.116170i
\(191\) 7.94178 7.52285i 0.574647 0.544334i −0.344227 0.938887i \(-0.611859\pi\)
0.918874 + 0.394552i \(0.129100\pi\)
\(192\) −11.1811 9.63665i −0.806926 0.695465i
\(193\) −2.07348 + 0.698636i −0.149252 + 0.0502889i −0.392936 0.919566i \(-0.628541\pi\)
0.243684 + 0.969855i \(0.421644\pi\)
\(194\) 0.802113 + 7.37530i 0.0575883 + 0.529516i
\(195\) −13.9439 + 9.30849i −0.998546 + 0.666595i
\(196\) 0.262089 4.83395i 0.0187207 0.345282i
\(197\) −8.13121 10.6964i −0.579325 0.762089i 0.409315 0.912393i \(-0.365768\pi\)
−0.988640 + 0.150304i \(0.951975\pi\)
\(198\) −0.0547394 + 0.186690i −0.00389016 + 0.0132675i
\(199\) −0.00778855 + 0.00468621i −0.000552115 + 0.000332197i −0.515830 0.856691i \(-0.672516\pi\)
0.515278 + 0.857023i \(0.327689\pi\)
\(200\) 5.54290 2.56442i 0.391942 0.181332i
\(201\) 2.76324 16.1274i 0.194904 1.13754i
\(202\) 2.09129 3.08442i 0.147143 0.217019i
\(203\) −0.0832529 + 0.0564469i −0.00584321 + 0.00396179i
\(204\) −2.46990 + 1.84968i −0.172928 + 0.129504i
\(205\) −0.963807 17.7764i −0.0673152 1.24156i
\(206\) 2.95965 2.51395i 0.206208 0.175155i
\(207\) −2.93806 + 7.07614i −0.204210 + 0.491826i
\(208\) −11.8999 + 0.645193i −0.825108 + 0.0447361i
\(209\) −0.0632293 + 0.158694i −0.00437366 + 0.0109771i
\(210\) 0.00476926 + 0.101462i 0.000329110 + 0.00700154i
\(211\) −19.9037 13.4950i −1.37022 0.929035i −1.00000 9.25217e-5i \(-0.999971\pi\)
−0.370224 0.928942i \(-0.620719\pi\)
\(212\) 0.104155 0.0414992i 0.00715340 0.00285017i
\(213\) −9.34634 1.08457i −0.640401 0.0743134i
\(214\) −4.99161 8.29612i −0.341219 0.567111i
\(215\) −10.2939 9.75088i −0.702037 0.665004i
\(216\) 13.4319 8.68994i 0.913928 0.591275i
\(217\) 0.0515946 + 0.00279738i 0.00350247 + 0.000189898i
\(218\) −3.45261 + 7.46270i −0.233840 + 0.505438i
\(219\) 21.0116 + 9.90516i 1.41984 + 0.669329i
\(220\) −0.0217462 0.0645405i −0.00146613 0.00435132i
\(221\) −2.32247 + 14.1664i −0.156226 + 0.952937i
\(222\) 6.11283 1.29950i 0.410266 0.0872166i
\(223\) 0.699554 2.51956i 0.0468456 0.168722i −0.936427 0.350862i \(-0.885889\pi\)
0.983273 + 0.182140i \(0.0583023\pi\)
\(224\) 0.0513252 0.0968097i 0.00342931 0.00646837i
\(225\) 0.878177 + 5.88592i 0.0585452 + 0.392395i
\(226\) −22.2762 4.90336i −1.48179 0.326167i
\(227\) −6.14396 22.1285i −0.407789 1.46872i −0.827707 0.561161i \(-0.810355\pi\)
0.419918 0.907562i \(-0.362059\pi\)
\(228\) 3.20122 1.66779i 0.212006 0.110452i
\(229\) 1.66647 15.3229i 0.110123 1.01257i −0.800501 0.599332i \(-0.795433\pi\)
0.910624 0.413236i \(-0.135602\pi\)
\(230\) 1.09066 + 4.95491i 0.0719159 + 0.326717i
\(231\) −0.00289345 0.000177765i −0.000190375 1.16961e-5i
\(232\) 10.3521 1.69714i 0.679650 0.111423i
\(233\) −3.75107 2.85149i −0.245741 0.186807i 0.475052 0.879958i \(-0.342429\pi\)
−0.720793 + 0.693150i \(0.756222\pi\)
\(234\) 4.37960 18.6166i 0.286303 1.21701i
\(235\) 8.40682i 0.548400i
\(236\) −5.01820 + 1.74451i −0.326657 + 0.113558i
\(237\) −14.8387 + 24.2653i −0.963880 + 1.57620i
\(238\) 0.0662877 + 0.0563053i 0.00429680 + 0.00364973i
\(239\) −11.6290 + 15.2977i −0.752218 + 0.989526i 0.247569 + 0.968870i \(0.420368\pi\)
−0.999787 + 0.0206555i \(0.993425\pi\)
\(240\) 2.42374 5.95810i 0.156452 0.384594i
\(241\) −5.90104 11.1305i −0.380119 0.716981i 0.617454 0.786607i \(-0.288164\pi\)
−0.997573 + 0.0696258i \(0.977819\pi\)
\(242\) 12.2843 2.70398i 0.789666 0.173819i
\(243\) 4.44291 + 14.9419i 0.285013 + 0.958524i
\(244\) 3.94060 6.54932i 0.252271 0.419278i
\(245\) 11.7127 3.25201i 0.748295 0.207763i
\(246\) 14.6425 + 14.0714i 0.933572 + 0.897158i
\(247\) 5.36195 15.9137i 0.341173 1.01257i
\(248\) −4.76113 2.52419i −0.302332 0.160286i
\(249\) 8.72107 + 9.34041i 0.552675 + 0.591925i
\(250\) 9.54072 + 10.0720i 0.603408 + 0.637010i
\(251\) −21.4600 3.51819i −1.35455 0.222066i −0.559608 0.828757i \(-0.689048\pi\)
−0.794938 + 0.606691i \(0.792497\pi\)
\(252\) 0.0438601 + 0.0427605i 0.00276292 + 0.00269366i
\(253\) −0.143949 + 0.0156554i −0.00905000 + 0.000984247i
\(254\) −18.8387 8.71570i −1.18204 0.546872i
\(255\) −6.38165 4.39422i −0.399635 0.275176i
\(256\) −11.4524 + 8.70587i −0.715774 + 0.544117i
\(257\) −15.9553 + 16.8438i −0.995264 + 1.05069i 0.00345048 + 0.999994i \(0.498902\pi\)
−0.998714 + 0.0506932i \(0.983857\pi\)
\(258\) 16.1739 + 0.116366i 1.00695 + 0.00724463i
\(259\) 0.0391002 + 0.0845137i 0.00242957 + 0.00525142i
\(260\) 2.47808 + 6.21950i 0.153684 + 0.385717i
\(261\) −1.25128 + 10.1450i −0.0774521 + 0.627958i
\(262\) −11.3171 16.6915i −0.699172 1.03120i
\(263\) −18.9957 7.56857i −1.17132 0.466698i −0.298346 0.954458i \(-0.596435\pi\)
−0.872978 + 0.487760i \(0.837814\pi\)
\(264\) 0.266092 + 0.143535i 0.0163768 + 0.00883398i
\(265\) 0.182256 + 0.214568i 0.0111959 + 0.0131808i
\(266\) −0.0658646 0.0775418i −0.00403842 0.00475439i
\(267\) −4.54773 2.45313i −0.278317 0.150129i
\(268\) −6.06997 2.41850i −0.370783 0.147733i
\(269\) −1.08286 1.59709i −0.0660229 0.0973766i 0.793244 0.608904i \(-0.208390\pi\)
−0.859267 + 0.511527i \(0.829080\pi\)
\(270\) 8.08083 + 6.42273i 0.491784 + 0.390875i
\(271\) −1.70807 4.28692i −0.103758 0.260412i 0.867928 0.496691i \(-0.165452\pi\)
−0.971685 + 0.236278i \(0.924072\pi\)
\(272\) −2.31260 4.99859i −0.140222 0.303084i
\(273\) 0.284965 + 0.00205022i 0.0172468 + 0.000124085i
\(274\) −3.50045 + 3.69538i −0.211470 + 0.223246i
\(275\) −0.0895339 + 0.0680619i −0.00539910 + 0.00410429i
\(276\) 2.52000 + 1.73520i 0.151686 + 0.104447i
\(277\) 11.0128 + 5.09505i 0.661693 + 0.306132i 0.721842 0.692058i \(-0.243296\pi\)
−0.0601492 + 0.998189i \(0.519158\pi\)
\(278\) −18.2539 + 1.98524i −1.09480 + 0.119067i
\(279\) 3.66556 3.75982i 0.219451 0.225095i
\(280\) 0.155770 + 0.0255372i 0.00930903 + 0.00152614i
\(281\) 14.6425 + 15.4579i 0.873499 + 0.922141i 0.997537 0.0701362i \(-0.0223434\pi\)
−0.124039 + 0.992277i \(0.539585\pi\)
\(282\) −6.54471 7.00949i −0.389732 0.417409i
\(283\) −1.48906 0.789448i −0.0885153 0.0469278i 0.423563 0.905867i \(-0.360779\pi\)
−0.512078 + 0.858939i \(0.671124\pi\)
\(284\) −1.19973 + 3.56066i −0.0711907 + 0.211286i
\(285\) 6.53516 + 6.28025i 0.387109 + 0.372010i
\(286\) 0.348258 0.0966933i 0.0205929 0.00571759i
\(287\) −0.156006 + 0.259284i −0.00920873 + 0.0153050i
\(288\) −3.97234 10.4027i −0.234073 0.612985i
\(289\) 10.1232 2.22829i 0.595483 0.131076i
\(290\) 3.17052 + 5.98023i 0.186179 + 0.351171i
\(291\) −4.23311 + 10.4059i −0.248149 + 0.610007i
\(292\) 5.61373 7.38474i 0.328519 0.432159i
\(293\) −12.7553 10.8345i −0.745173 0.632956i 0.192170 0.981362i \(-0.438447\pi\)
−0.937344 + 0.348405i \(0.886723\pi\)
\(294\) −7.23418 + 11.8298i −0.421906 + 0.689928i
\(295\) −8.17450 10.5423i −0.475938 0.613796i
\(296\) 9.71182i 0.564488i
\(297\) −0.207164 + 0.209455i −0.0120209 + 0.0121538i
\(298\) 18.3276 + 13.9323i 1.06169 + 0.807076i
\(299\) 14.0466 2.30282i 0.812335 0.133176i
\(300\) 2.37199 + 0.145728i 0.136947 + 0.00841360i
\(301\) 0.0518096 + 0.235373i 0.00298625 + 0.0135667i
\(302\) −0.514327 + 4.72916i −0.0295962 + 0.272133i
\(303\) 5.00451 2.60728i 0.287502 0.149784i
\(304\) 1.72360 + 6.20786i 0.0988554 + 0.356045i
\(305\) 18.7437 + 4.12581i 1.07326 + 0.236243i
\(306\) 8.74183 1.30428i 0.499737 0.0745606i
\(307\) −2.56483 + 4.83778i −0.146383 + 0.276107i −0.945851 0.324601i \(-0.894770\pi\)
0.799468 + 0.600708i \(0.205115\pi\)
\(308\) −0.000309699 0.00111543i −1.76467e−5 6.35577e-5i
\(309\) 5.75169 1.22273i 0.327202 0.0695584i
\(310\) 0.562529 3.43128i 0.0319495 0.194883i
\(311\) −2.06359 6.12453i −0.117016 0.347290i 0.873100 0.487540i \(-0.162106\pi\)
−0.990116 + 0.140250i \(0.955209\pi\)
\(312\) −26.8833 12.6731i −1.52196 0.717474i
\(313\) −1.87017 + 4.04230i −0.105708 + 0.228484i −0.953211 0.302307i \(-0.902243\pi\)
0.847502 + 0.530791i \(0.178105\pi\)
\(314\) −5.72884 0.310608i −0.323297 0.0175286i
\(315\) −0.0665848 + 0.138650i −0.00375163 + 0.00781205i
\(316\) 8.24595 + 7.81098i 0.463871 + 0.439402i
\(317\) 0.800880 + 1.33107i 0.0449819 + 0.0747605i 0.878532 0.477683i \(-0.158523\pi\)
−0.833550 + 0.552443i \(0.813696\pi\)
\(318\) −0.319003 0.0370178i −0.0178888 0.00207586i
\(319\) −0.179458 + 0.0715026i −0.0100477 + 0.00400338i
\(320\) −12.2505 8.30607i −0.684826 0.464323i
\(321\) −0.688393 14.6450i −0.0384224 0.817403i
\(322\) 0.0319198 0.0801126i 0.00177882 0.00446450i
\(323\) 7.74943 0.420162i 0.431190 0.0233784i
\(324\) 6.20529 0.494692i 0.344739 0.0274829i
\(325\) 8.42633 7.15739i 0.467409 0.397021i
\(326\) 0.0584029 + 1.07718i 0.00323464 + 0.0596593i
\(327\) −9.96634 + 7.46369i −0.551140 + 0.412743i
\(328\) 26.1210 17.7105i 1.44229 0.977899i
\(329\) 0.0801910 0.118273i 0.00442107 0.00652059i
\(330\) −0.0329442 + 0.192276i −0.00181352 + 0.0105844i
\(331\) −15.5423 + 7.19063i −0.854282 + 0.395233i −0.797620 0.603161i \(-0.793908\pi\)
−0.0566619 + 0.998393i \(0.518046\pi\)
\(332\) 4.37257 2.63089i 0.239976 0.144389i
\(333\) 9.08097 + 2.66263i 0.497634 + 0.145911i
\(334\) −2.20524 2.90094i −0.120665 0.158732i
\(335\) 0.888247 16.3828i 0.0485301 0.895085i
\(336\) −0.0909320 + 0.0607031i −0.00496075 + 0.00331162i
\(337\) 2.97367 + 27.3424i 0.161986 + 1.48944i 0.739555 + 0.673096i \(0.235036\pi\)
−0.577569 + 0.816342i \(0.695999\pi\)
\(338\) −19.5787 + 6.59683i −1.06494 + 0.358820i
\(339\) −26.1631 22.5492i −1.42099 1.22470i
\(340\) −2.24631 + 2.12782i −0.121823 + 0.115397i
\(341\) 0.0956184 + 0.0265483i 0.00517803 + 0.00143767i
\(342\) −10.3381 0.148766i −0.559020 0.00804434i
\(343\) −0.391629 0.131955i −0.0211460 0.00712490i
\(344\) 5.40339 24.5479i 0.291331 1.32353i
\(345\) −2.10853 + 7.38764i −0.113520 + 0.397737i
\(346\) −20.1975 12.1525i −1.08583 0.653320i
\(347\) 33.8597 + 3.68247i 1.81769 + 0.197685i 0.952659 0.304041i \(-0.0983361\pi\)
0.865026 + 0.501726i \(0.167302\pi\)
\(348\) 3.85877 + 1.33116i 0.206852 + 0.0713576i
\(349\) −27.6718 + 14.6707i −1.48124 + 0.785304i −0.996024 0.0890906i \(-0.971604\pi\)
−0.485216 + 0.874394i \(0.661259\pi\)
\(350\) −0.0108365 0.0660995i −0.000579234 0.00353317i
\(351\) 19.2203 21.6625i 1.02591 1.15626i
\(352\) 0.136237 0.160391i 0.00726146 0.00854885i
\(353\) 0.215020 0.0114444 0.00572218 0.999984i \(-0.498179\pi\)
0.00572218 + 0.999984i \(0.498179\pi\)
\(354\) 15.0230 + 2.42617i 0.798461 + 0.128949i
\(355\) −9.43460 −0.500737
\(356\) −1.33583 + 1.57266i −0.0707990 + 0.0833510i
\(357\) 0.0478659 + 0.122694i 0.00253333 + 0.00649366i
\(358\) 3.36504 + 20.5259i 0.177848 + 1.08482i
\(359\) −21.6642 + 11.4856i −1.14339 + 0.606187i −0.928824 0.370522i \(-0.879179\pi\)
−0.214567 + 0.976709i \(0.568834\pi\)
\(360\) 12.3742 10.2079i 0.652179 0.538005i
\(361\) 9.86343 + 1.07271i 0.519128 + 0.0564586i
\(362\) −19.1074 11.4966i −1.00426 0.604246i
\(363\) 18.3156 + 5.22752i 0.961319 + 0.274373i
\(364\) 0.0244633 0.111138i 0.00128223 0.00582522i
\(365\) 22.0731 + 7.43729i 1.15536 + 0.389286i
\(366\) −18.8402 + 11.1520i −0.984794 + 0.582922i
\(367\) 9.77202 + 2.71319i 0.510095 + 0.141627i 0.513034 0.858368i \(-0.328522\pi\)
−0.00293860 + 0.999996i \(0.500935\pi\)
\(368\) −3.96469 + 3.75555i −0.206674 + 0.195772i
\(369\) 9.39862 + 29.2799i 0.489273 + 1.52425i
\(370\) 5.93837 2.00087i 0.308721 0.104020i
\(371\) −0.000517376 0.00475719i −2.68608e−5 0.000246981i
\(372\) −1.16423 1.74399i −0.0603623 0.0904215i
\(373\) 0.949874 17.5194i 0.0491826 0.907119i −0.864989 0.501791i \(-0.832675\pi\)
0.914171 0.405328i \(-0.132843\pi\)
\(374\) 0.101086 + 0.132977i 0.00522704 + 0.00687606i
\(375\) 5.47444 + 20.2821i 0.282699 + 1.04736i
\(376\) −12.7698 + 7.68331i −0.658550 + 0.396236i
\(377\) 17.2349 7.97370i 0.887641 0.410667i
\(378\) −0.0524215 0.167441i −0.00269627 0.00861222i
\(379\) 0.116729 0.172162i 0.00599596 0.00884337i −0.824679 0.565601i \(-0.808644\pi\)
0.830675 + 0.556757i \(0.187955\pi\)
\(380\) 2.99575 2.03117i 0.153679 0.104197i
\(381\) −18.8412 25.1588i −0.965263 1.28892i
\(382\) 0.677412 + 12.4941i 0.0346594 + 0.639255i
\(383\) 4.62241 3.92631i 0.236194 0.200625i −0.521470 0.853269i \(-0.674616\pi\)
0.757664 + 0.652644i \(0.226340\pi\)
\(384\) 3.97737 0.622706i 0.202969 0.0317773i
\(385\) −0.00290251 0.000157370i −0.000147926 8.02030e-6i
\(386\) 0.926346 2.32495i 0.0471498 0.118337i
\(387\) 21.4719 + 11.7825i 1.09148 + 0.598940i
\(388\) 3.71310 + 2.51754i 0.188504 + 0.127809i
\(389\) 4.77653 1.90314i 0.242179 0.0964931i −0.245891 0.969298i \(-0.579080\pi\)
0.488070 + 0.872804i \(0.337701\pi\)
\(390\) 2.21048 19.0489i 0.111932 0.964581i
\(391\) 3.39148 + 5.63668i 0.171514 + 0.285059i
\(392\) 15.6444 + 14.8191i 0.790161 + 0.748480i
\(393\) −3.08315 30.3811i −0.155524 1.53252i
\(394\) 15.3461 + 0.832040i 0.773124 + 0.0419175i
\(395\) −11.9752 + 25.8840i −0.602539 + 1.30237i
\(396\) 0.0646119 + 0.0983118i 0.00324687 + 0.00494035i
\(397\) 5.32447 + 15.8025i 0.267228 + 0.793103i 0.994307 + 0.106550i \(0.0339805\pi\)
−0.727080 + 0.686553i \(0.759123\pi\)
\(398\) 0.00168205 0.0102600i 8.43133e−5 0.000514288i
\(399\) −0.0320350 0.150692i −0.00160376 0.00754406i
\(400\) −1.13477 + 4.08706i −0.0567383 + 0.204353i
\(401\) 10.6187 20.0290i 0.530274 1.00020i −0.463212 0.886247i \(-0.653303\pi\)
0.993486 0.113955i \(-0.0363519\pi\)
\(402\) 12.0134 + 14.3512i 0.599172 + 0.715773i
\(403\) −9.52710 2.09707i −0.474579 0.104463i
\(404\) −0.602854 2.17128i −0.0299931 0.108025i
\(405\) 6.15228 + 14.3691i 0.305709 + 0.714005i
\(406\) 0.0124392 0.114377i 0.000617349 0.00567643i
\(407\) 0.0384458 + 0.174661i 0.00190569 + 0.00865762i
\(408\) 0.842278 13.7096i 0.0416990 0.678727i
\(409\) 17.9701 2.94604i 0.888563 0.145672i 0.299823 0.953995i \(-0.403072\pi\)
0.588740 + 0.808323i \(0.299624\pi\)
\(410\) 16.2108 + 12.3231i 0.800593 + 0.608595i
\(411\) −7.32178 + 2.40848i −0.361157 + 0.118801i
\(412\) 2.34817i 0.115686i
\(413\) 0.0144436 + 0.226291i 0.000710723 + 0.0111351i
\(414\) −3.99321 7.80120i −0.196256 0.383408i
\(415\) 9.76603 + 8.29534i 0.479396 + 0.407202i
\(416\) −12.5193 + 16.4688i −0.613809 + 0.807452i
\(417\) −25.7548 10.4770i −1.26122 0.513060i
\(418\) −0.0915248 0.172634i −0.00447662 0.00844381i
\(419\) 1.48815 0.327566i 0.0727008 0.0160026i −0.178471 0.983945i \(-0.557115\pi\)
0.251172 + 0.967943i \(0.419184\pi\)
\(420\) 0.0486283 + 0.0375213i 0.00237282 + 0.00183085i
\(421\) −17.2960 + 28.7462i −0.842957 + 1.40101i 0.0719789 + 0.997406i \(0.477069\pi\)
−0.914936 + 0.403599i \(0.867759\pi\)
\(422\) 26.5033 7.35860i 1.29016 0.358211i
\(423\) −3.68321 14.0468i −0.179084 0.682977i
\(424\) −0.159353 + 0.472944i −0.00773888 + 0.0229682i
\(425\) 4.51428 + 2.39332i 0.218975 + 0.116093i
\(426\) 7.86644 7.34483i 0.381130 0.355858i
\(427\) −0.224344 0.236838i −0.0108568 0.0114614i
\(428\) −5.77755 0.947181i −0.279268 0.0457837i
\(429\) 0.533647 + 0.121496i 0.0257647 + 0.00586590i
\(430\) 16.1232 1.75350i 0.777530 0.0845615i
\(431\) −13.6658 6.32246i −0.658258 0.304542i 0.0621771 0.998065i \(-0.480196\pi\)
−0.720435 + 0.693523i \(0.756058\pi\)
\(432\) −1.43939 + 11.0171i −0.0692528 + 0.530063i
\(433\) −15.7178 + 11.9484i −0.755350 + 0.574202i −0.910412 0.413702i \(-0.864235\pi\)
0.155062 + 0.987905i \(0.450442\pi\)
\(434\) −0.0406443 + 0.0429077i −0.00195099 + 0.00205963i
\(435\) −0.0737404 + 10.2493i −0.00353558 + 0.491418i
\(436\) 2.08778 + 4.51265i 0.0999863 + 0.216117i
\(437\) −2.84827 7.14862i −0.136251 0.341965i
\(438\) −24.1942 + 10.9828i −1.15604 + 0.524778i
\(439\) −0.275090 0.405728i −0.0131293 0.0193643i 0.821068 0.570831i \(-0.193379\pi\)
−0.834197 + 0.551467i \(0.814068\pi\)
\(440\) 0.281626 + 0.112210i 0.0134260 + 0.00534941i
\(441\) −18.1457 + 10.5653i −0.864079 + 0.503109i
\(442\) −10.6302 12.5149i −0.505628 0.595272i
\(443\) 10.3647 + 12.2022i 0.492441 + 0.579746i 0.951107 0.308863i \(-0.0999484\pi\)
−0.458666 + 0.888609i \(0.651673\pi\)
\(444\) 1.79409 3.32597i 0.0851437 0.157843i
\(445\) −4.81322 1.91776i −0.228168 0.0909106i
\(446\) 1.67849 + 2.47559i 0.0794787 + 0.117222i
\(447\) 14.4099 + 31.7437i 0.681563 + 1.50143i
\(448\) 0.0931189 + 0.233711i 0.00439946 + 0.0110418i
\(449\) −12.3285 26.6475i −0.581816 1.25757i −0.945369 0.326001i \(-0.894299\pi\)
0.363553 0.931573i \(-0.381563\pi\)
\(450\) −5.78152 3.59293i −0.272543 0.169372i
\(451\) −0.399660 + 0.421916i −0.0188193 + 0.0198673i
\(452\) −10.9803 + 8.34702i −0.516471 + 0.392611i
\(453\) −4.08526 + 5.93295i −0.191942 + 0.278754i
\(454\) 23.8408 + 11.0299i 1.11890 + 0.517660i
\(455\) 0.284070 0.0308945i 0.0133174 0.00144836i
\(456\) −3.56682 + 15.6665i −0.167032 + 0.733652i
\(457\) −9.45276 1.54970i −0.442181 0.0724920i −0.0634213 0.997987i \(-0.520201\pi\)
−0.378760 + 0.925495i \(0.623649\pi\)
\(458\) 12.1242 + 12.7994i 0.566527 + 0.598075i
\(459\) 12.5882 + 4.54625i 0.587565 + 0.212201i
\(460\) 2.71056 + 1.43705i 0.126380 + 0.0670026i
\(461\) 2.14362 6.36205i 0.0998385 0.296310i −0.886081 0.463530i \(-0.846583\pi\)
0.985920 + 0.167220i \(0.0534791\pi\)
\(462\) 0.00229756 0.00239082i 0.000106892 0.000111231i
\(463\) 4.56543 1.26759i 0.212174 0.0589097i −0.159815 0.987147i \(-0.551090\pi\)
0.371989 + 0.928237i \(0.378676\pi\)
\(464\) −3.75617 + 6.24280i −0.174376 + 0.289815i
\(465\) 3.21645 4.16857i 0.149159 0.193313i
\(466\) 5.26353 1.15859i 0.243828 0.0536707i
\(467\) 12.7982 + 24.1400i 0.592232 + 1.11707i 0.980684 + 0.195599i \(0.0626651\pi\)
−0.388452 + 0.921469i \(0.626990\pi\)
\(468\) −6.86546 9.30632i −0.317356 0.430185i
\(469\) −0.168768 + 0.222011i −0.00779299 + 0.0102515i
\(470\) −7.32890 6.22522i −0.338057 0.287148i
\(471\) −7.41170 4.53242i −0.341513 0.208843i
\(472\) 8.54250 22.0519i 0.393201 1.01502i
\(473\) 0.462868i 0.0212827i
\(474\) −10.1659 30.9045i −0.466937 1.41949i
\(475\) −4.75820 3.61709i −0.218321 0.165963i
\(476\) 0.0518995 0.00850848i 0.00237881 0.000389986i
\(477\) −0.398534 0.278666i −0.0182476 0.0127593i
\(478\) −4.72499 21.4658i −0.216116 0.981824i
\(479\) −4.16185 + 38.2676i −0.190160 + 1.74849i 0.378213 + 0.925719i \(0.376539\pi\)
−0.568373 + 0.822771i \(0.692427\pi\)
\(480\) −5.15894 9.90228i −0.235472 0.451975i
\(481\) −4.70335 16.9399i −0.214454 0.772394i
\(482\) 14.0731 + 3.09772i 0.641012 + 0.141097i
\(483\) 0.100133 0.0838215i 0.00455623 0.00381401i
\(484\) 3.56276 6.72007i 0.161943 0.305458i
\(485\) −3.01357 + 10.8539i −0.136839 + 0.492850i
\(486\) −16.3160 7.19119i −0.740109 0.326199i
\(487\) 2.48523 15.1592i 0.112617 0.686931i −0.868818 0.495132i \(-0.835120\pi\)
0.981434 0.191799i \(-0.0614321\pi\)
\(488\) 10.8636 + 32.2420i 0.491772 + 1.45953i
\(489\) −0.696548 + 1.47757i −0.0314990 + 0.0668182i
\(490\) −5.83816 + 12.6190i −0.263741 + 0.570067i
\(491\) −37.1849 2.01611i −1.67813 0.0909857i −0.809716 0.586821i \(-0.800379\pi\)
−0.868416 + 0.495836i \(0.834862\pi\)
\(492\) 12.2173 1.23984i 0.550797 0.0558962i
\(493\) 6.37154 + 6.03544i 0.286960 + 0.271823i
\(494\) 9.90275 + 16.4585i 0.445546 + 0.740503i
\(495\) −0.182133 + 0.232568i −0.00818627 + 0.0104532i
\(496\) 3.47684 1.38530i 0.156115 0.0622018i
\(497\) 0.132732 + 0.0899948i 0.00595386 + 0.00403682i
\(498\) −14.6007 + 0.686312i −0.654273 + 0.0307544i
\(499\) −13.0108 + 32.6545i −0.582441 + 1.46182i 0.282164 + 0.959366i \(0.408948\pi\)
−0.864605 + 0.502451i \(0.832432\pi\)
\(500\) 8.37686 0.454180i 0.374624 0.0203115i
\(501\) −0.853503 5.45152i −0.0381317 0.243556i
\(502\) 18.9582 16.1032i 0.846145 0.718722i
\(503\) −2.12791 39.2470i −0.0948788 1.74994i −0.528584 0.848881i \(-0.677277\pi\)
0.433705 0.901055i \(-0.357206\pi\)
\(504\) −0.271461 + 0.0255767i −0.0120918 + 0.00113928i
\(505\) 4.68330 3.17536i 0.208404 0.141301i
\(506\) 0.0929457 0.137085i 0.00413194 0.00609416i
\(507\) −30.8356 5.28332i −1.36946 0.234641i
\(508\) −11.3916 + 5.27034i −0.505422 + 0.233833i
\(509\) 1.08874 0.655074i 0.0482576 0.0290357i −0.491221 0.871035i \(-0.663449\pi\)
0.539478 + 0.842000i \(0.318622\pi\)
\(510\) 8.55638 2.30949i 0.378883 0.102266i
\(511\) −0.239596 0.315184i −0.0105991 0.0139429i
\(512\) 1.14251 21.0724i 0.0504924 0.931278i
\(513\) −13.6710 7.63033i −0.603588 0.336887i
\(514\) −2.86925 26.3823i −0.126557 1.16367i
\(515\) 5.58754 1.88266i 0.246216 0.0829599i
\(516\) 6.38526 7.40862i 0.281095 0.326146i
\(517\) 0.199240 0.188731i 0.00876258 0.00830036i
\(518\) −0.102631 0.0284953i −0.00450934 0.00125201i
\(519\) −18.1815 30.7160i −0.798079 1.34828i
\(520\) −28.2413 9.51561i −1.23846 0.417287i
\(521\) 4.72706 21.4752i 0.207096 0.940848i −0.752308 0.658812i \(-0.771059\pi\)
0.959404 0.282036i \(-0.0910097\pi\)
\(522\) −7.91762 8.60316i −0.346545 0.376550i
\(523\) 6.84297 + 4.11728i 0.299222 + 0.180036i 0.657245 0.753677i \(-0.271722\pi\)
−0.358023 + 0.933713i \(0.616549\pi\)
\(524\) −12.1230 1.31845i −0.529595 0.0575969i
\(525\) 0.0330769 0.0958833i 0.00144359 0.00418469i
\(526\) 20.6644 10.9555i 0.901009 0.477685i
\(527\) −0.729373 4.44898i −0.0317720 0.193801i
\(528\) −0.195618 + 0.0763153i −0.00851320 + 0.00332120i
\(529\) −10.6672 + 12.5584i −0.463791 + 0.546017i
\(530\) −0.322016 −0.0139875
\(531\) 18.2774 + 14.0334i 0.793171 + 0.608999i
\(532\) −0.0615212 −0.00266728
\(533\) 36.9848 43.5419i 1.60199 1.88601i
\(534\) 5.50617 2.14809i 0.238275 0.0929568i
\(535\) −2.37835 14.5073i −0.102825 0.627204i
\(536\) 25.6968 13.6236i 1.10993 0.588449i
\(537\) −10.2713 + 29.7746i −0.443241 + 1.28487i
\(538\) 2.19417 + 0.238630i 0.0945972 + 0.0102881i
\(539\) −0.340018 0.204582i −0.0146456 0.00881198i
\(540\) 6.12349 1.20994i 0.263513 0.0520677i
\(541\) 8.20929 37.2952i 0.352945 1.60345i −0.381227 0.924482i \(-0.624498\pi\)
0.734172 0.678964i \(-0.237571\pi\)
\(542\) 5.00207 + 1.68539i 0.214857 + 0.0723939i
\(543\) −17.2002 29.0582i −0.738131 1.24701i
\(544\) −9.21210 2.55773i −0.394966 0.109662i
\(545\) −9.06412 + 8.58599i −0.388264 + 0.367783i
\(546\) −0.212803 + 0.246908i −0.00910711 + 0.0105667i
\(547\) −26.2828 + 8.85570i −1.12377 + 0.378642i −0.819006 0.573786i \(-0.805474\pi\)
−0.304764 + 0.952428i \(0.598578\pi\)
\(548\) 0.332785 + 3.05991i 0.0142159 + 0.130713i
\(549\) −33.1261 + 1.31833i −1.41379 + 0.0562649i
\(550\) 0.00696454 0.128453i 0.000296969 0.00547727i
\(551\) −6.21289 8.17291i −0.264678 0.348178i
\(552\) −13.1487 + 3.54903i −0.559647 + 0.151057i
\(553\) 0.415378 0.249925i 0.0176637 0.0106279i
\(554\) −12.5967 + 5.82784i −0.535182 + 0.247601i
\(555\) 9.35267 + 1.60247i 0.396999 + 0.0680212i
\(556\) −6.23094 + 9.18995i −0.264251 + 0.389741i
\(557\) 8.93195 6.05601i 0.378459 0.256602i −0.357094 0.934068i \(-0.616233\pi\)
0.735553 + 0.677467i \(0.236922\pi\)
\(558\) 0.563401 + 5.97970i 0.0238507 + 0.253141i
\(559\) −2.46339 45.4346i −0.104190 1.92168i
\(560\) −0.0835549 + 0.0709722i −0.00353084 + 0.00299912i
\(561\) 0.0391238 + 0.249893i 0.00165181 + 0.0105505i
\(562\) −24.3186 + 1.31852i −1.02582 + 0.0556183i
\(563\) 1.92238 4.82480i 0.0810185 0.203341i −0.882887 0.469585i \(-0.844403\pi\)
0.963906 + 0.266244i \(0.0857828\pi\)
\(564\) −5.79256 + 0.272282i −0.243911 + 0.0114651i
\(565\) −28.6656 19.4357i −1.20597 0.817667i
\(566\) 1.79087 0.713547i 0.0752757 0.0299926i
\(567\) 0.0505094 0.260839i 0.00212119 0.0109542i
\(568\) −8.62264 14.3309i −0.361798 0.601313i
\(569\) −4.19266 3.97150i −0.175765 0.166494i 0.594760 0.803904i \(-0.297247\pi\)
−0.770525 + 0.637410i \(0.780006\pi\)
\(570\) −10.3143 + 1.04672i −0.432017 + 0.0438421i
\(571\) 20.7414 + 1.12457i 0.868002 + 0.0470617i 0.482759 0.875753i \(-0.339635\pi\)
0.385243 + 0.922815i \(0.374118\pi\)
\(572\) 0.0917692 0.198356i 0.00383706 0.00829368i
\(573\) −8.07922 + 17.1383i −0.337514 + 0.715963i
\(574\) −0.110517 0.328001i −0.00461287 0.0136905i
\(575\) 0.819628 4.99951i 0.0341808 0.208494i
\(576\) 24.1082 + 8.51119i 1.00451 + 0.354633i
\(577\) −3.66751 + 13.2092i −0.152680 + 0.549905i 0.847148 + 0.531357i \(0.178318\pi\)
−0.999828 + 0.0185471i \(0.994096\pi\)
\(578\) −5.55363 + 10.4753i −0.231000 + 0.435713i
\(579\) 2.90598 2.43259i 0.120768 0.101095i
\(580\) 3.99731 + 0.879874i 0.165979 + 0.0365348i
\(581\) −0.0582676 0.209861i −0.00241735 0.00870649i
\(582\) −5.93709 11.3959i −0.246100 0.472375i
\(583\) 0.000993646 0.00913642i 4.11526e−5 0.000378392i
\(584\) 8.87636 + 40.3257i 0.367307 + 1.66869i
\(585\) 16.6403 23.7980i 0.687990 0.983927i
\(586\) 18.8905 3.09695i 0.780361 0.127934i
\(587\) 8.02383 + 6.09955i 0.331179 + 0.251756i 0.757527 0.652803i \(-0.226407\pi\)
−0.426349 + 0.904559i \(0.640200\pi\)
\(588\) 2.62009 + 7.96508i 0.108051 + 0.328474i
\(589\) 5.27378i 0.217302i
\(590\) 15.2437 + 0.680164i 0.627575 + 0.0280019i
\(591\) 19.8540 + 12.1412i 0.816686 + 0.499421i
\(592\) 5.14079 + 4.36663i 0.211285 + 0.179467i
\(593\) −4.17389 + 5.49065i −0.171401 + 0.225474i −0.873771 0.486338i \(-0.838332\pi\)
0.702370 + 0.711812i \(0.252125\pi\)
\(594\) −0.0291945 0.335703i −0.00119787 0.0137741i
\(595\) 0.0618570 + 0.116675i 0.00253589 + 0.00478320i
\(596\) 13.5958 2.99266i 0.556905 0.122584i
\(597\) 0.00961764 0.0124646i 0.000393624 0.000510143i
\(598\) −8.39389 + 13.9508i −0.343252 + 0.570489i
\(599\) −46.8322 + 13.0029i −1.91351 + 0.531284i −0.925046 + 0.379856i \(0.875973\pi\)
−0.988468 + 0.151428i \(0.951613\pi\)
\(600\) −7.32974 + 7.62725i −0.299235 + 0.311381i
\(601\) −6.72884 + 19.9705i −0.274475 + 0.814613i 0.718419 + 0.695611i \(0.244866\pi\)
−0.992894 + 0.119002i \(0.962030\pi\)
\(602\) −0.243558 0.129127i −0.00992670 0.00526280i
\(603\) 5.69349 + 27.7627i 0.231857 + 1.13059i
\(604\) 1.97821 + 2.08837i 0.0804922 + 0.0849746i
\(605\) 18.8471 + 3.08982i 0.766244 + 0.125619i
\(606\) −1.43286 + 6.29351i −0.0582058 + 0.255657i
\(607\) 40.7768 4.43475i 1.65508 0.180001i 0.767627 0.640897i \(-0.221438\pi\)
0.887454 + 0.460897i \(0.152472\pi\)
\(608\) 10.1501 + 4.69593i 0.411640 + 0.190445i
\(609\) 0.0988038 0.143491i 0.00400373 0.00581456i
\(610\) −17.4765 + 13.2853i −0.707602 + 0.537905i
\(611\) −18.5528 + 19.5860i −0.750567 + 0.792363i
\(612\) 2.82106 4.53948i 0.114035 0.183498i
\(613\) 8.30424 + 17.9493i 0.335405 + 0.724966i 0.999748 0.0224620i \(-0.00715047\pi\)
−0.664343 + 0.747428i \(0.731288\pi\)
\(614\) −2.31823 5.81833i −0.0935563 0.234809i
\(615\) 12.7455 + 28.0773i 0.513949 + 1.13219i
\(616\) −0.00289176 0.00426502i −0.000116512 0.000171843i
\(617\) 32.8667 + 13.0953i 1.32316 + 0.527196i 0.921424 0.388559i \(-0.127027\pi\)
0.401738 + 0.915755i \(0.368406\pi\)
\(618\) −3.19316 + 5.91963i −0.128448 + 0.238123i
\(619\) −21.8499 25.7236i −0.878220 1.03392i −0.999148 0.0412591i \(-0.986863\pi\)
0.120929 0.992661i \(-0.461413\pi\)
\(620\) −1.36118 1.60250i −0.0546662 0.0643580i
\(621\) 0.286408 13.2676i 0.0114931 0.532412i
\(622\) 6.86733 + 2.73619i 0.275355 + 0.109711i
\(623\) 0.0494225 + 0.0728927i 0.00198007 + 0.00292039i
\(624\) 18.7956 8.53212i 0.752425 0.341558i
\(625\) 4.12575 + 10.3549i 0.165030 + 0.414194i
\(626\) −2.13914 4.62368i −0.0854974 0.184800i
\(627\) 0.00212870 0.295872i 8.50120e−5 0.0118160i
\(628\) −2.38582 + 2.51868i −0.0952048 + 0.100506i
\(629\) 6.46824 4.91703i 0.257906 0.196055i
\(630\) −0.0715665 0.160717i −0.00285128 0.00640313i
\(631\) 13.5068 + 6.24890i 0.537696 + 0.248765i 0.669892 0.742459i \(-0.266341\pi\)
−0.132195 + 0.991224i \(0.542203\pi\)
\(632\) −50.2618 + 5.46630i −1.99931 + 0.217438i
\(633\) 40.6118 + 9.24617i 1.61418 + 0.367502i
\(634\) −1.75345 0.287464i −0.0696385 0.0114166i
\(635\) −21.6743 22.8813i −0.860118 0.908015i
\(636\) −0.141941 + 0.132529i −0.00562833 + 0.00525513i
\(637\) 34.4646 + 18.2720i 1.36554 + 0.723963i
\(638\) 0.0705535 0.209395i 0.00279324 0.00829004i
\(639\) 15.7641 4.13351i 0.623616 0.163519i
\(640\) 3.88961 1.07994i 0.153750 0.0426886i
\(641\) −11.2477 + 18.6939i −0.444259 + 0.738364i −0.995375 0.0960643i \(-0.969375\pi\)
0.551116 + 0.834429i \(0.314202\pi\)
\(642\) 13.2769 + 10.2444i 0.523999 + 0.404315i
\(643\) −18.5066 + 4.07361i −0.729830 + 0.160648i −0.564315 0.825560i \(-0.690860\pi\)
−0.165515 + 0.986207i \(0.552929\pi\)
\(644\) −0.0244263 0.0460728i −0.000962529 0.00181552i
\(645\) 22.7485 + 9.25402i 0.895721 + 0.364377i
\(646\) −5.37214 + 7.06693i −0.211364 + 0.278044i
\(647\) 13.9922 + 11.8850i 0.550088 + 0.467249i 0.878806 0.477179i \(-0.158341\pi\)
−0.328718 + 0.944428i \(0.606617\pi\)
\(648\) −16.2035 + 22.4776i −0.636533 + 0.883004i
\(649\) −0.0663357 + 0.430405i −0.00260390 + 0.0168949i
\(650\) 12.6459i 0.496014i
\(651\) −0.0850143 + 0.0279652i −0.00333197 + 0.00109604i
\(652\) 0.519307 + 0.394767i 0.0203377 + 0.0154603i
\(653\) −11.2346 + 1.84182i −0.439644 + 0.0720760i −0.377539 0.925994i \(-0.623230\pi\)
−0.0621051 + 0.998070i \(0.519781\pi\)
\(654\) 0.873346 14.2153i 0.0341505 0.555862i
\(655\) −6.58240 29.9041i −0.257196 1.16845i
\(656\) −2.36978 + 21.7897i −0.0925242 + 0.850746i
\(657\) −40.1399 2.75608i −1.56600 0.107525i
\(658\) 0.0437268 + 0.157490i 0.00170465 + 0.00613958i
\(659\) −8.74251 1.92437i −0.340560 0.0749629i 0.0413977 0.999143i \(-0.486819\pi\)
−0.381958 + 0.924180i \(0.624750\pi\)
\(660\) 0.0757185 + 0.0904536i 0.00294734 + 0.00352090i
\(661\) 8.17784 15.4250i 0.318081 0.599965i −0.671985 0.740564i \(-0.734558\pi\)
0.990067 + 0.140600i \(0.0449030\pi\)
\(662\) 5.24037 18.8741i 0.203673 0.733563i
\(663\) −5.17030 24.3210i −0.200798 0.944551i
\(664\) −3.67488 + 22.4158i −0.142613 + 0.869902i
\(665\) −0.0493251 0.146392i −0.00191274 0.00567682i
\(666\) −9.04565 + 5.94493i −0.350512 + 0.230362i
\(667\) 3.65389 7.89775i 0.141479 0.305802i
\(668\) −2.20026 0.119295i −0.0851306 0.00461565i
\(669\) 0.457276 + 4.50596i 0.0176793 + 0.174210i
\(670\) 13.6244 + 12.9057i 0.526357 + 0.498592i
\(671\) −0.323010 0.536847i −0.0124697 0.0207247i
\(672\) −0.0218765 + 0.188522i −0.000843904 + 0.00727240i
\(673\) 5.07714 2.02292i 0.195709 0.0779778i −0.270224 0.962797i \(-0.587098\pi\)
0.465934 + 0.884820i \(0.345719\pi\)
\(674\) −26.0386 17.6546i −1.00297 0.680030i
\(675\) −5.12225 8.94474i −0.197156 0.344283i
\(676\) −4.62417 + 11.6058i −0.177853 + 0.446377i
\(677\) 43.1322 2.33856i 1.65770 0.0898781i 0.798661 0.601781i \(-0.205542\pi\)
0.859043 + 0.511903i \(0.171059\pi\)
\(678\) 39.0317 6.11089i 1.49900 0.234687i
\(679\) 0.145930 0.123954i 0.00560029 0.00475693i
\(680\) −0.745642 13.7526i −0.0285941 0.527386i
\(681\) 23.8440 + 31.8391i 0.913703 + 1.22008i
\(682\) −0.0939494 + 0.0636992i −0.00359751 + 0.00243917i
\(683\) 8.27569 12.2057i 0.316660 0.467039i −0.635734 0.771908i \(-0.719302\pi\)
0.952394 + 0.304869i \(0.0986127\pi\)
\(684\) −4.11563 + 4.70634i −0.157365 + 0.179951i
\(685\) −7.01434 + 3.24518i −0.268004 + 0.123992i
\(686\) 0.405035 0.243702i 0.0154643 0.00930458i
\(687\) 6.95684 + 25.7742i 0.265420 + 0.983348i
\(688\) 10.5645 + 13.8974i 0.402769 + 0.529834i
\(689\) −0.0489110 + 0.902110i −0.00186336 + 0.0343677i
\(690\) −4.87904 7.30870i −0.185742 0.278237i
\(691\) −2.23142 20.5176i −0.0848873 0.780525i −0.956777 0.290823i \(-0.906071\pi\)
0.871890 0.489702i \(-0.162895\pi\)
\(692\) −13.5075 + 4.55121i −0.513479 + 0.173011i
\(693\) 0.00478079 0.00153460i 0.000181607 5.82947e-5i
\(694\) −28.2833 + 26.7914i −1.07362 + 1.01699i
\(695\) −26.8635 7.45862i −1.01899 0.282921i
\(696\) −15.6359 + 9.25524i −0.592677 + 0.350819i
\(697\) 25.0204 + 8.43035i 0.947715 + 0.319322i
\(698\) 7.70130 34.9873i 0.291498 1.32429i
\(699\) 7.84778 + 2.23986i 0.296830 + 0.0847194i
\(700\) −0.0347058 0.0208818i −0.00131176 0.000789257i
\(701\) 23.1158 + 2.51400i 0.873072 + 0.0949523i 0.533674 0.845690i \(-0.320811\pi\)
0.339398 + 0.940643i \(0.389777\pi\)
\(702\) 4.65233 + 32.7969i 0.175591 + 1.23784i
\(703\) −8.39726 + 4.45194i −0.316709 + 0.167908i
\(704\) 0.0781681 + 0.476805i 0.00294607 + 0.0179703i
\(705\) −5.29214 13.5653i −0.199313 0.510898i
\(706\) −0.159221 + 0.187450i −0.00599238 + 0.00705477i
\(707\) −0.0961769 −0.00361711
\(708\) 6.99921 5.97393i 0.263046 0.224514i
\(709\) 40.6461 1.52650 0.763249 0.646105i \(-0.223603\pi\)
0.763249 + 0.646105i \(0.223603\pi\)
\(710\) 6.98629 8.22489i 0.262191 0.308675i
\(711\) 8.66876 48.4956i 0.325104 1.81873i
\(712\) −1.48595 9.06388i −0.0556883 0.339683i
\(713\) −3.94950 + 2.09389i −0.147910 + 0.0784170i
\(714\) −0.142407 0.0491261i −0.00532944 0.00183850i
\(715\) 0.545571 + 0.0593345i 0.0204032 + 0.00221898i
\(716\) 10.7772 + 6.48441i 0.402762 + 0.242334i
\(717\) 9.13465 32.0050i 0.341140 1.19525i
\(718\) 6.02931 27.3914i 0.225012 1.02224i
\(719\) 24.0796 + 8.11335i 0.898017 + 0.302577i 0.730194 0.683240i \(-0.239430\pi\)
0.167823 + 0.985817i \(0.446326\pi\)
\(720\) −0.160302 + 11.1398i −0.00597411 + 0.415155i
\(721\) −0.0965676 0.0268119i −0.00359637 0.000998526i
\(722\) −8.23901 + 7.80440i −0.306624 + 0.290450i
\(723\) 16.5287 + 14.2456i 0.614709 + 0.529799i
\(724\) −12.7785 + 4.30557i −0.474909 + 0.160015i
\(725\) −0.730776 6.71937i −0.0271403 0.249551i
\(726\) −18.1199 + 12.0962i −0.672492 + 0.448932i
\(727\) −2.46033 + 45.3782i −0.0912487 + 1.68298i 0.491926 + 0.870637i \(0.336293\pi\)
−0.583175 + 0.812346i \(0.698190\pi\)
\(728\) 0.306551 + 0.403261i 0.0113615 + 0.0149458i
\(729\) −16.5751 21.3135i −0.613893 0.789389i
\(730\) −22.8287 + 13.7356i −0.844929 + 0.508377i
\(731\) 19.0850 8.82966i 0.705884 0.326577i
\(732\) −2.23574 + 13.0487i −0.0826352 + 0.482292i
\(733\) 24.7243 36.4655i 0.913211 1.34689i −0.0245844 0.999698i \(-0.507826\pi\)
0.937796 0.347188i \(-0.112863\pi\)
\(734\) −9.60145 + 6.50994i −0.354396 + 0.240286i
\(735\) −16.8525 + 12.6207i −0.621613 + 0.465520i
\(736\) 0.513221 + 9.46580i 0.0189176 + 0.348914i
\(737\) −0.408210 + 0.346736i −0.0150366 + 0.0127722i
\(738\) −32.4852 13.4881i −1.19580 0.496504i
\(739\) −13.2526 + 0.718537i −0.487506 + 0.0264318i −0.296254 0.955109i \(-0.595737\pi\)
−0.191252 + 0.981541i \(0.561255\pi\)
\(740\) 1.40255 3.52013i 0.0515587 0.129402i
\(741\) 1.36569 + 29.0538i 0.0501698 + 1.06732i
\(742\) 0.00453034 + 0.00307165i 0.000166314 + 0.000112764i
\(743\) 0.293341 0.116878i 0.0107616 0.00428783i −0.364751 0.931105i \(-0.618846\pi\)
0.375513 + 0.926817i \(0.377467\pi\)
\(744\) 9.27159 + 1.07589i 0.339913 + 0.0394442i
\(745\) 18.0217 + 29.9522i 0.660262 + 1.09736i
\(746\) 14.5697 + 13.8011i 0.533434 + 0.505295i
\(747\) −19.9522 9.58178i −0.730013 0.350579i
\(748\) 0.100858 + 0.00546836i 0.00368773 + 0.000199943i
\(749\) −0.104922 + 0.226785i −0.00383376 + 0.00828654i
\(750\) −21.7353 10.2463i −0.793663 0.374143i
\(751\) −6.03846 17.9215i −0.220347 0.653966i −0.999628 0.0272908i \(-0.991312\pi\)
0.779281 0.626675i \(-0.215585\pi\)
\(752\) 1.67451 10.2140i 0.0610629 0.372468i
\(753\) 36.8428 7.83223i 1.34262 0.285422i
\(754\) −5.81105 + 20.9295i −0.211626 + 0.762208i
\(755\) −3.38330 + 6.38158i −0.123131 + 0.232250i
\(756\) −0.0976908 0.0413884i −0.00355298 0.00150528i
\(757\) −19.3088 4.25019i −0.701790 0.154476i −0.150280 0.988644i \(-0.548017\pi\)
−0.551511 + 0.834168i \(0.685948\pi\)
\(758\) 0.0636502 + 0.229247i 0.00231188 + 0.00832664i
\(759\) 0.222422 0.115878i 0.00807340 0.00420612i
\(760\) −1.74191 + 16.0166i −0.0631857 + 0.580983i
\(761\) −4.68544 21.2862i −0.169847 0.771623i −0.982106 0.188326i \(-0.939694\pi\)
0.812259 0.583296i \(-0.198237\pi\)
\(762\) 35.8848 + 2.20465i 1.29997 + 0.0798662i
\(763\) 0.209420 0.0343327i 0.00758152 0.00124293i
\(764\) 6.02342 + 4.57889i 0.217920 + 0.165658i
\(765\) 13.0637 + 3.07325i 0.472317 + 0.111114i
\(766\) 6.93714i 0.250649i
\(767\) 4.22082 42.6012i 0.152405 1.53824i
\(768\) 12.9992 21.2572i 0.469069 0.767052i
\(769\) −25.6705 21.8047i −0.925702 0.786299i 0.0514859 0.998674i \(-0.483604\pi\)
−0.977188 + 0.212375i \(0.931880\pi\)
\(770\) 0.00201211 0.00264688i 7.25114e−5 9.53871e-5i
\(771\) 15.1423 37.2232i 0.545336 1.34056i
\(772\) −0.708876 1.33708i −0.0255130