Properties

Label 690.2.q.a.11.1
Level $690$
Weight $2$
Character 690.11
Analytic conductor $5.510$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.q (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 690.11
Dual form 690.2.q.a.251.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.73087 + 0.0639912i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.989611 + 1.42150i) q^{6} +(0.918508 - 0.795892i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.99181 - 0.221521i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(-1.73087 + 0.0639912i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(0.989611 + 1.42150i) q^{6} +(0.918508 - 0.795892i) q^{7} +(0.989821 - 0.142315i) q^{8} +(2.99181 - 0.221521i) q^{9} +(0.755750 + 0.654861i) q^{10} +(-3.79809 - 2.44088i) q^{11} +(0.660820 - 1.60104i) q^{12} +(0.541306 - 0.624700i) q^{13} +(-1.16613 - 0.342407i) q^{14} +(1.64273 - 0.549041i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.35358 + 5.15361i) q^{17} +(-1.80385 - 2.39711i) q^{18} +(-5.34856 - 2.44261i) q^{19} +(0.142315 - 0.989821i) q^{20} +(-1.53889 + 1.43636i) q^{21} +4.51480i q^{22} +(4.39922 - 1.90967i) q^{23} +(-1.70414 + 0.309668i) q^{24} +(0.841254 - 0.540641i) q^{25} +(-0.818184 - 0.117637i) q^{26} +(-5.16425 + 0.574873i) q^{27} +(0.342407 + 1.16613i) q^{28} +(-6.42428 + 2.93387i) q^{29} +(-1.35001 - 1.08512i) q^{30} +(0.809818 + 5.63241i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(6.73019 + 3.98181i) q^{33} +(3.06306 - 4.76621i) q^{34} +(-0.657074 + 1.02243i) q^{35} +(-1.04134 + 2.81347i) q^{36} +(-2.68722 + 9.15183i) q^{37} +(0.836800 + 5.82007i) q^{38} +(-0.896954 + 1.11591i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(-0.674489 - 2.29710i) q^{41} +(2.04033 + 0.518039i) q^{42} +(-1.09713 - 0.157743i) q^{43} +(3.79809 - 2.44088i) q^{44} +(-2.80821 + 1.05544i) q^{45} +(-3.98492 - 2.66842i) q^{46} +10.1087i q^{47} +(1.18184 + 1.26620i) q^{48} +(-0.785990 + 5.46668i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(-4.40352 - 8.76962i) q^{51} +(0.343381 + 0.751899i) q^{52} +(4.13803 + 4.77554i) q^{53} +(3.27562 + 4.03365i) q^{54} +(4.33192 + 1.27197i) q^{55} +(0.795892 - 0.918508i) q^{56} +(9.41396 + 3.88557i) q^{57} +(5.94135 + 3.81828i) q^{58} +(10.1925 + 8.83189i) q^{59} +(-0.182988 + 1.72236i) q^{60} +(-11.5222 + 1.65664i) q^{61} +(4.30046 - 3.72637i) q^{62} +(2.57170 - 2.58463i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-0.343381 + 0.751899i) q^{65} +(-0.288907 - 7.81452i) q^{66} +(3.39400 + 5.28116i) q^{67} -5.66560 q^{68} +(-7.49227 + 3.58690i) q^{69} +1.21536 q^{70} +(-5.79095 - 9.01089i) q^{71} +(2.92983 - 0.645045i) q^{72} +(3.89553 - 8.53001i) q^{73} +(9.15183 - 2.68722i) q^{74} +(-1.42150 + 0.989611i) q^{75} +(4.44375 - 3.85053i) q^{76} +(-5.43126 + 0.780897i) q^{77} +(1.42370 + 0.151258i) q^{78} +(-8.25506 - 7.15305i) q^{79} +(0.841254 + 0.540641i) q^{80} +(8.90186 - 1.32550i) q^{81} +(-1.56779 + 1.80932i) q^{82} +(-4.95270 - 1.45424i) q^{83} +(-0.667283 - 1.99651i) q^{84} +(-3.71018 - 4.28178i) q^{85} +(0.460451 + 1.00825i) q^{86} +(10.9318 - 5.48924i) q^{87} +(-4.10681 - 1.87552i) q^{88} +(-2.66990 + 18.5696i) q^{89} +(2.40612 + 1.79180i) q^{90} -1.00461i q^{91} +(-0.0904052 + 4.79498i) q^{92} +(-1.76211 - 9.69714i) q^{93} +(8.50395 - 5.46516i) q^{94} +(5.82007 + 0.836800i) q^{95} +(0.426243 - 1.67878i) q^{96} +(-2.65640 - 9.04686i) q^{97} +(5.02381 - 2.29429i) q^{98} +(-11.9039 - 6.46131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} + O(q^{10}) \) \( 160q + 16q^{4} - 16q^{5} - 2q^{6} + 42q^{9} - 12q^{11} - 12q^{14} - 16q^{16} - 8q^{18} + 16q^{20} + 62q^{21} + 4q^{23} + 2q^{24} - 16q^{25} + 42q^{27} - 2q^{30} - 4q^{31} + 16q^{33} + 2q^{36} + 72q^{38} - 124q^{39} + 44q^{41} + 44q^{43} + 12q^{44} - 2q^{45} + 4q^{46} + 70q^{49} - 2q^{51} - 52q^{53} + 92q^{54} + 10q^{55} - 54q^{56} - 38q^{57} - 36q^{58} - 44q^{61} - 220q^{63} + 16q^{64} - 34q^{66} - 44q^{67} + 22q^{69} - 12q^{70} - 36q^{72} - 28q^{73} - 24q^{74} - 88q^{77} - 54q^{78} - 44q^{79} - 16q^{80} - 66q^{81} - 28q^{82} + 4q^{83} - 18q^{84} + 158q^{86} - 64q^{87} + 80q^{89} - 8q^{90} - 4q^{92} + 4q^{93} + 24q^{94} - 2q^{96} - 88q^{98} + 190q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) −1.73087 + 0.0639912i −0.999317 + 0.0369453i
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.959493 + 0.281733i −0.429098 + 0.125995i
\(6\) 0.989611 + 1.42150i 0.404007 + 0.580326i
\(7\) 0.918508 0.795892i 0.347163 0.300819i −0.463772 0.885955i \(-0.653504\pi\)
0.810935 + 0.585136i \(0.198959\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) 2.99181 0.221521i 0.997270 0.0738402i
\(10\) 0.755750 + 0.654861i 0.238989 + 0.207085i
\(11\) −3.79809 2.44088i −1.14517 0.735954i −0.176496 0.984301i \(-0.556476\pi\)
−0.968671 + 0.248347i \(0.920113\pi\)
\(12\) 0.660820 1.60104i 0.190762 0.462179i
\(13\) 0.541306 0.624700i 0.150131 0.173261i −0.675702 0.737175i \(-0.736160\pi\)
0.825834 + 0.563914i \(0.190705\pi\)
\(14\) −1.16613 0.342407i −0.311661 0.0915120i
\(15\) 1.64273 0.549041i 0.424150 0.141762i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 2.35358 + 5.15361i 0.570826 + 1.24994i 0.946356 + 0.323125i \(0.104733\pi\)
−0.375530 + 0.926810i \(0.622539\pi\)
\(18\) −1.80385 2.39711i −0.425171 0.565004i
\(19\) −5.34856 2.44261i −1.22704 0.560372i −0.306822 0.951767i \(-0.599266\pi\)
−0.920223 + 0.391395i \(0.871993\pi\)
\(20\) 0.142315 0.989821i 0.0318226 0.221331i
\(21\) −1.53889 + 1.43636i −0.335813 + 0.313440i
\(22\) 4.51480i 0.962558i
\(23\) 4.39922 1.90967i 0.917301 0.398194i
\(24\) −1.70414 + 0.309668i −0.347857 + 0.0632107i
\(25\) 0.841254 0.540641i 0.168251 0.108128i
\(26\) −0.818184 0.117637i −0.160459 0.0230705i
\(27\) −5.16425 + 0.574873i −0.993861 + 0.110634i
\(28\) 0.342407 + 1.16613i 0.0647088 + 0.220378i
\(29\) −6.42428 + 2.93387i −1.19296 + 0.544806i −0.910113 0.414360i \(-0.864005\pi\)
−0.282845 + 0.959166i \(0.591278\pi\)
\(30\) −1.35001 1.08512i −0.246477 0.198114i
\(31\) 0.809818 + 5.63241i 0.145448 + 1.01161i 0.923551 + 0.383475i \(0.125273\pi\)
−0.778104 + 0.628136i \(0.783818\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 6.73019 + 3.98181i 1.17158 + 0.693143i
\(34\) 3.06306 4.76621i 0.525310 0.817398i
\(35\) −0.657074 + 1.02243i −0.111066 + 0.172822i
\(36\) −1.04134 + 2.81347i −0.173557 + 0.468912i
\(37\) −2.68722 + 9.15183i −0.441776 + 1.50455i 0.374685 + 0.927152i \(0.377751\pi\)
−0.816462 + 0.577400i \(0.804067\pi\)
\(38\) 0.836800 + 5.82007i 0.135747 + 0.944140i
\(39\) −0.896954 + 1.11591i −0.143628 + 0.178689i
\(40\) −0.909632 + 0.415415i −0.143825 + 0.0656829i
\(41\) −0.674489 2.29710i −0.105337 0.358746i 0.889909 0.456139i \(-0.150768\pi\)
−0.995246 + 0.0973925i \(0.968950\pi\)
\(42\) 2.04033 + 0.518039i 0.314830 + 0.0799351i
\(43\) −1.09713 0.157743i −0.167311 0.0240557i 0.0581503 0.998308i \(-0.481480\pi\)
−0.225461 + 0.974252i \(0.572389\pi\)
\(44\) 3.79809 2.44088i 0.572584 0.367977i
\(45\) −2.80821 + 1.05544i −0.418623 + 0.157335i
\(46\) −3.98492 2.66842i −0.587544 0.393436i
\(47\) 10.1087i 1.47450i 0.675620 + 0.737250i \(0.263876\pi\)
−0.675620 + 0.737250i \(0.736124\pi\)
\(48\) 1.18184 + 1.26620i 0.170584 + 0.182760i
\(49\) −0.785990 + 5.46668i −0.112284 + 0.780955i
\(50\) −0.909632 0.415415i −0.128641 0.0587486i
\(51\) −4.40352 8.76962i −0.616616 1.22799i
\(52\) 0.343381 + 0.751899i 0.0476184 + 0.104270i
\(53\) 4.13803 + 4.77554i 0.568402 + 0.655971i 0.965070 0.261991i \(-0.0843791\pi\)
−0.396668 + 0.917962i \(0.629834\pi\)
\(54\) 3.27562 + 4.03365i 0.445755 + 0.548910i
\(55\) 4.33192 + 1.27197i 0.584116 + 0.171512i
\(56\) 0.795892 0.918508i 0.106356 0.122741i
\(57\) 9.41396 + 3.88557i 1.24691 + 0.514656i
\(58\) 5.94135 + 3.81828i 0.780138 + 0.501364i
\(59\) 10.1925 + 8.83189i 1.32696 + 1.14981i 0.977046 + 0.213030i \(0.0683333\pi\)
0.349910 + 0.936783i \(0.386212\pi\)
\(60\) −0.182988 + 1.72236i −0.0236237 + 0.222355i
\(61\) −11.5222 + 1.65664i −1.47526 + 0.212111i −0.832530 0.553980i \(-0.813108\pi\)
−0.642732 + 0.766091i \(0.722199\pi\)
\(62\) 4.30046 3.72637i 0.546160 0.473250i
\(63\) 2.57170 2.58463i 0.324003 0.325632i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −0.343381 + 0.751899i −0.0425912 + 0.0932616i
\(66\) −0.288907 7.81452i −0.0355620 0.961901i
\(67\) 3.39400 + 5.28116i 0.414643 + 0.645197i 0.984263 0.176712i \(-0.0565460\pi\)
−0.569620 + 0.821908i \(0.692910\pi\)
\(68\) −5.66560 −0.687055
\(69\) −7.49227 + 3.58690i −0.901964 + 0.431812i
\(70\) 1.21536 0.145263
\(71\) −5.79095 9.01089i −0.687259 1.06940i −0.993095 0.117312i \(-0.962572\pi\)
0.305836 0.952084i \(-0.401064\pi\)
\(72\) 2.92983 0.645045i 0.345284 0.0760193i
\(73\) 3.89553 8.53001i 0.455937 0.998362i −0.532458 0.846456i \(-0.678732\pi\)
0.988395 0.151906i \(-0.0485411\pi\)
\(74\) 9.15183 2.68722i 1.06388 0.312383i
\(75\) −1.42150 + 0.989611i −0.164141 + 0.114270i
\(76\) 4.44375 3.85053i 0.509733 0.441686i
\(77\) −5.43126 + 0.780897i −0.618949 + 0.0889915i
\(78\) 1.42370 + 0.151258i 0.161202 + 0.0171266i
\(79\) −8.25506 7.15305i −0.928767 0.804781i 0.0522639 0.998633i \(-0.483356\pi\)
−0.981031 + 0.193852i \(0.937902\pi\)
\(80\) 0.841254 + 0.540641i 0.0940550 + 0.0604455i
\(81\) 8.90186 1.32550i 0.989095 0.147277i
\(82\) −1.56779 + 1.80932i −0.173133 + 0.199806i
\(83\) −4.95270 1.45424i −0.543630 0.159624i −0.00162375 0.999999i \(-0.500517\pi\)
−0.542006 + 0.840375i \(0.682335\pi\)
\(84\) −0.667283 1.99651i −0.0728065 0.217837i
\(85\) −3.71018 4.28178i −0.402426 0.464424i
\(86\) 0.460451 + 1.00825i 0.0496517 + 0.108722i
\(87\) 10.9318 5.48924i 1.17202 0.588508i
\(88\) −4.10681 1.87552i −0.437787 0.199931i
\(89\) −2.66990 + 18.5696i −0.283009 + 1.96837i −0.0360269 + 0.999351i \(0.511470\pi\)
−0.246982 + 0.969020i \(0.579439\pi\)
\(90\) 2.40612 + 1.79180i 0.253628 + 0.188873i
\(91\) 1.00461i 0.105312i
\(92\) −0.0904052 + 4.79498i −0.00942539 + 0.499911i
\(93\) −1.76211 9.69714i −0.182723 1.00555i
\(94\) 8.50395 5.46516i 0.877115 0.563688i
\(95\) 5.82007 + 0.836800i 0.597127 + 0.0858539i
\(96\) 0.426243 1.67878i 0.0435032 0.171340i
\(97\) −2.65640 9.04686i −0.269716 0.918569i −0.977286 0.211926i \(-0.932027\pi\)
0.707570 0.706644i \(-0.249792\pi\)
\(98\) 5.02381 2.29429i 0.507481 0.231759i
\(99\) −11.9039 6.46131i −1.19638 0.649386i
\(100\) 0.142315 + 0.989821i 0.0142315 + 0.0989821i
\(101\) 0.720376 2.45338i 0.0716801 0.244120i −0.915857 0.401504i \(-0.868488\pi\)
0.987538 + 0.157384i \(0.0503059\pi\)
\(102\) −4.99675 + 8.44569i −0.494752 + 0.836248i
\(103\) −2.93126 + 4.56113i −0.288826 + 0.449421i −0.955099 0.296286i \(-0.904252\pi\)
0.666274 + 0.745707i \(0.267888\pi\)
\(104\) 0.446892 0.695378i 0.0438214 0.0681874i
\(105\) 1.07188 1.81173i 0.104605 0.176807i
\(106\) 1.78025 6.06298i 0.172913 0.588889i
\(107\) 0.0750997 + 0.522330i 0.00726016 + 0.0504955i 0.993129 0.117021i \(-0.0373344\pi\)
−0.985869 + 0.167516i \(0.946425\pi\)
\(108\) 1.62239 4.93638i 0.156114 0.475004i
\(109\) 2.22756 1.01729i 0.213361 0.0974387i −0.305868 0.952074i \(-0.598947\pi\)
0.519229 + 0.854635i \(0.326219\pi\)
\(110\) −1.27197 4.33192i −0.121277 0.413032i
\(111\) 4.06559 16.0126i 0.385888 1.51985i
\(112\) −1.20299 0.172964i −0.113672 0.0163435i
\(113\) −12.0956 + 7.77336i −1.13786 + 0.731256i −0.967185 0.254072i \(-0.918230\pi\)
−0.170672 + 0.985328i \(0.554594\pi\)
\(114\) −1.82082 10.0202i −0.170536 0.938480i
\(115\) −3.68301 + 3.07172i −0.343442 + 0.286439i
\(116\) 7.06250i 0.655737i
\(117\) 1.48110 1.98890i 0.136928 0.183873i
\(118\) 1.91935 13.3494i 0.176691 1.22891i
\(119\) 6.26350 + 2.86044i 0.574174 + 0.262217i
\(120\) 1.54787 0.777237i 0.141301 0.0709517i
\(121\) 3.89801 + 8.53545i 0.354364 + 0.775950i
\(122\) 7.62301 + 8.79742i 0.690154 + 0.796481i
\(123\) 1.31445 + 3.93281i 0.118520 + 0.354610i
\(124\) −5.45983 1.60315i −0.490307 0.143967i
\(125\) −0.654861 + 0.755750i −0.0585725 + 0.0675963i
\(126\) −3.56469 0.766094i −0.317568 0.0682491i
\(127\) −6.55966 4.21564i −0.582076 0.374077i 0.216218 0.976345i \(-0.430628\pi\)
−0.798294 + 0.602268i \(0.794264\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) 1.90908 + 0.202827i 0.168085 + 0.0178579i
\(130\) 0.818184 0.117637i 0.0717594 0.0103174i
\(131\) −5.92912 + 5.13761i −0.518030 + 0.448875i −0.874214 0.485540i \(-0.838623\pi\)
0.356185 + 0.934416i \(0.384077\pi\)
\(132\) −6.41780 + 4.46789i −0.558598 + 0.388880i
\(133\) −6.85675 + 2.01332i −0.594556 + 0.174577i
\(134\) 2.60786 5.71042i 0.225285 0.493305i
\(135\) 4.79311 2.00652i 0.412525 0.172694i
\(136\) 3.06306 + 4.76621i 0.262655 + 0.408699i
\(137\) 5.17810 0.442395 0.221198 0.975229i \(-0.429003\pi\)
0.221198 + 0.975229i \(0.429003\pi\)
\(138\) 7.06812 + 4.36368i 0.601678 + 0.371461i
\(139\) 4.09865 0.347643 0.173821 0.984777i \(-0.444388\pi\)
0.173821 + 0.984777i \(0.444388\pi\)
\(140\) −0.657074 1.02243i −0.0555329 0.0864108i
\(141\) −0.646865 17.4968i −0.0544759 1.47349i
\(142\) −4.44962 + 9.74331i −0.373404 + 0.817640i
\(143\) −3.58075 + 1.05140i −0.299437 + 0.0879227i
\(144\) −2.12663 2.11599i −0.177219 0.176333i
\(145\) 5.33748 4.62495i 0.443254 0.384081i
\(146\) −9.28198 + 1.33455i −0.768182 + 0.110448i
\(147\) 1.01063 9.51241i 0.0833551 0.784570i
\(148\) −7.20849 6.24619i −0.592534 0.513434i
\(149\) 4.17612 + 2.68383i 0.342121 + 0.219868i 0.700406 0.713744i \(-0.253002\pi\)
−0.358285 + 0.933612i \(0.616639\pi\)
\(150\) 1.60104 + 0.660820i 0.130724 + 0.0539557i
\(151\) −2.90627 + 3.35401i −0.236509 + 0.272946i −0.861580 0.507622i \(-0.830525\pi\)
0.625071 + 0.780568i \(0.285070\pi\)
\(152\) −5.64174 1.65656i −0.457606 0.134365i
\(153\) 8.18309 + 14.8973i 0.661563 + 1.20437i
\(154\) 3.59329 + 4.14688i 0.289556 + 0.334165i
\(155\) −2.36385 5.17611i −0.189869 0.415755i
\(156\) −0.642462 1.27947i −0.0514381 0.102439i
\(157\) −7.02196 3.20682i −0.560414 0.255932i 0.115007 0.993365i \(-0.463311\pi\)
−0.675421 + 0.737432i \(0.736038\pi\)
\(158\) −1.55451 + 10.8118i −0.123670 + 0.860143i
\(159\) −7.46798 8.00103i −0.592249 0.634523i
\(160\) 1.00000i 0.0790569i
\(161\) 2.52083 5.25535i 0.198669 0.414180i
\(162\) −5.92779 6.77210i −0.465731 0.532067i
\(163\) 9.13396 5.87004i 0.715427 0.459777i −0.131616 0.991301i \(-0.542017\pi\)
0.847043 + 0.531524i \(0.178380\pi\)
\(164\) 2.36971 + 0.340712i 0.185043 + 0.0266052i
\(165\) −7.57937 1.92440i −0.590053 0.149814i
\(166\) 1.45424 + 4.95270i 0.112871 + 0.384404i
\(167\) −8.04012 + 3.67180i −0.622163 + 0.284132i −0.701449 0.712720i \(-0.747463\pi\)
0.0792861 + 0.996852i \(0.474736\pi\)
\(168\) −1.31881 + 1.64075i −0.101748 + 0.126586i
\(169\) 1.75285 + 12.1914i 0.134835 + 0.937798i
\(170\) −1.59619 + 5.43611i −0.122422 + 0.416930i
\(171\) −16.5430 6.12300i −1.26507 0.468237i
\(172\) 0.599253 0.932456i 0.0456926 0.0710991i
\(173\) 5.31578 8.27151i 0.404151 0.628871i −0.578205 0.815892i \(-0.696247\pi\)
0.982356 + 0.187020i \(0.0598830\pi\)
\(174\) −10.5280 6.22874i −0.798128 0.472199i
\(175\) 0.342407 1.16613i 0.0258835 0.0881511i
\(176\) 0.642523 + 4.46884i 0.0484320 + 0.336852i
\(177\) −18.2071 14.6346i −1.36853 1.10000i
\(178\) 17.0652 7.79341i 1.27909 0.584140i
\(179\) −7.40069 25.2044i −0.553153 1.88387i −0.459299 0.888282i \(-0.651899\pi\)
−0.0938544 0.995586i \(-0.529919\pi\)
\(180\) 0.206513 2.99288i 0.0153926 0.223076i
\(181\) 17.9041 + 2.57422i 1.33080 + 0.191340i 0.770761 0.637125i \(-0.219876\pi\)
0.560041 + 0.828465i \(0.310785\pi\)
\(182\) −0.845135 + 0.543135i −0.0626455 + 0.0402598i
\(183\) 19.8373 3.60474i 1.46642 0.266470i
\(184\) 4.08267 2.51631i 0.300978 0.185505i
\(185\) 9.53820i 0.701262i
\(186\) −7.20508 + 6.72505i −0.528302 + 0.493105i
\(187\) 3.64028 25.3187i 0.266204 1.85149i
\(188\) −9.19516 4.19929i −0.670626 0.306265i
\(189\) −4.28587 + 4.63821i −0.311751 + 0.337380i
\(190\) −2.44261 5.34856i −0.177205 0.388026i
\(191\) −10.4151 12.0197i −0.753611 0.869713i 0.241302 0.970450i \(-0.422426\pi\)
−0.994913 + 0.100737i \(0.967880\pi\)
\(192\) −1.64273 + 0.549041i −0.118554 + 0.0396236i
\(193\) −13.5764 3.98640i −0.977253 0.286947i −0.246163 0.969228i \(-0.579170\pi\)
−0.731090 + 0.682281i \(0.760988\pi\)
\(194\) −6.17454 + 7.12580i −0.443306 + 0.511603i
\(195\) 0.546232 1.32341i 0.0391165 0.0947715i
\(196\) −4.64616 2.98590i −0.331868 0.213279i
\(197\) 20.2144 + 17.5159i 1.44022 + 1.24796i 0.918839 + 0.394632i \(0.129128\pi\)
0.521380 + 0.853325i \(0.325418\pi\)
\(198\) 1.00012 + 13.5074i 0.0710755 + 0.959931i
\(199\) −2.29120 + 0.329425i −0.162419 + 0.0233523i −0.223044 0.974808i \(-0.571599\pi\)
0.0606257 + 0.998161i \(0.480690\pi\)
\(200\) 0.755750 0.654861i 0.0534396 0.0463056i
\(201\) −6.21251 8.92381i −0.438197 0.629437i
\(202\) −2.45338 + 0.720376i −0.172619 + 0.0506855i
\(203\) −3.56571 + 7.80781i −0.250264 + 0.548001i
\(204\) 9.80641 0.362549i 0.686586 0.0253835i
\(205\) 1.29433 + 2.01402i 0.0904002 + 0.140666i
\(206\) 5.42182 0.377756
\(207\) 12.7386 6.68789i 0.885394 0.464841i
\(208\) −0.826597 −0.0573142
\(209\) 14.3522 + 22.3325i 0.992763 + 1.54477i
\(210\) −2.10363 + 0.0777724i −0.145164 + 0.00536680i
\(211\) 0.389953 0.853877i 0.0268454 0.0587833i −0.895734 0.444590i \(-0.853349\pi\)
0.922580 + 0.385806i \(0.126077\pi\)
\(212\) −6.06298 + 1.78025i −0.416407 + 0.122268i
\(213\) 10.6000 + 15.2261i 0.726299 + 1.04327i
\(214\) 0.398810 0.345571i 0.0272621 0.0236227i
\(215\) 1.09713 0.157743i 0.0748236 0.0107580i
\(216\) −5.02988 + 1.30397i −0.342240 + 0.0887240i
\(217\) 5.22661 + 4.52889i 0.354806 + 0.307441i
\(218\) −2.06011 1.32395i −0.139528 0.0896692i
\(219\) −6.19680 + 15.0136i −0.418741 + 1.01453i
\(220\) −2.95656 + 3.41206i −0.199332 + 0.230041i
\(221\) 4.49347 + 1.31940i 0.302264 + 0.0887526i
\(222\) −15.6687 + 5.23686i −1.05161 + 0.351475i
\(223\) 12.8486 + 14.8281i 0.860409 + 0.992965i 0.999996 + 0.00275528i \(0.000877034\pi\)
−0.139587 + 0.990210i \(0.544578\pi\)
\(224\) 0.504879 + 1.10553i 0.0337336 + 0.0738664i
\(225\) 2.39711 1.80385i 0.159807 0.120257i
\(226\) 13.0787 + 5.97286i 0.869985 + 0.397309i
\(227\) −0.618974 + 4.30506i −0.0410828 + 0.285737i 0.958915 + 0.283693i \(0.0915597\pi\)
−0.999998 + 0.00204388i \(0.999349\pi\)
\(228\) −7.44514 + 6.94912i −0.493067 + 0.460217i
\(229\) 3.54266i 0.234105i 0.993126 + 0.117053i \(0.0373446\pi\)
−0.993126 + 0.117053i \(0.962655\pi\)
\(230\) 4.57528 + 1.43764i 0.301685 + 0.0947955i
\(231\) 9.35082 1.69918i 0.615239 0.111798i
\(232\) −5.94135 + 3.81828i −0.390069 + 0.250682i
\(233\) −15.9742 2.29675i −1.04651 0.150465i −0.402450 0.915442i \(-0.631841\pi\)
−0.644057 + 0.764977i \(0.722750\pi\)
\(234\) −2.47391 0.170703i −0.161724 0.0111592i
\(235\) −2.84794 9.69919i −0.185779 0.632705i
\(236\) −12.2679 + 5.60256i −0.798572 + 0.364696i
\(237\) 14.7462 + 11.8527i 0.957866 + 0.769918i
\(238\) −0.979945 6.81566i −0.0635204 0.441794i
\(239\) 3.19474 10.8803i 0.206651 0.703788i −0.789310 0.613995i \(-0.789561\pi\)
0.995960 0.0897928i \(-0.0286205\pi\)
\(240\) −1.49070 0.881945i −0.0962240 0.0569293i
\(241\) 4.24250 6.60147i 0.273284 0.425238i −0.677300 0.735707i \(-0.736850\pi\)
0.950583 + 0.310470i \(0.100486\pi\)
\(242\) 5.07305 7.89382i 0.326108 0.507434i
\(243\) −15.3231 + 2.86390i −0.982979 + 0.183719i
\(244\) 3.27955 11.1691i 0.209952 0.715030i
\(245\) −0.785990 5.46668i −0.0502151 0.349254i
\(246\) 2.59785 3.23202i 0.165633 0.206066i
\(247\) −4.42111 + 2.01905i −0.281308 + 0.128469i
\(248\) 1.60315 + 5.45983i 0.101800 + 0.346700i
\(249\) 8.66554 + 2.20018i 0.549156 + 0.139431i
\(250\) 0.989821 + 0.142315i 0.0626018 + 0.00900078i
\(251\) 22.5645 14.5013i 1.42426 0.915316i 0.424307 0.905518i \(-0.360518\pi\)
0.999952 0.00979751i \(-0.00311869\pi\)
\(252\) 1.28274 + 3.41299i 0.0808049 + 0.214998i
\(253\) −21.3699 3.48489i −1.34352 0.219093i
\(254\) 7.79748i 0.489258i
\(255\) 6.69583 + 7.17377i 0.419309 + 0.449239i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 17.5364 + 8.00861i 1.09389 + 0.499563i 0.878878 0.477048i \(-0.158293\pi\)
0.215014 + 0.976611i \(0.431020\pi\)
\(258\) −0.861499 1.71568i −0.0536346 0.106813i
\(259\) 4.81563 + 10.5448i 0.299229 + 0.655220i
\(260\) −0.541306 0.624700i −0.0335704 0.0387423i
\(261\) −18.5703 + 10.2007i −1.14947 + 0.631407i
\(262\) 7.52756 + 2.21029i 0.465054 + 0.136552i
\(263\) 6.40556 7.39241i 0.394984 0.455836i −0.523071 0.852289i \(-0.675214\pi\)
0.918055 + 0.396453i \(0.129759\pi\)
\(264\) 7.22836 + 2.98347i 0.444875 + 0.183620i
\(265\) −5.31584 3.41628i −0.326549 0.209860i
\(266\) 5.40076 + 4.67978i 0.331142 + 0.286936i
\(267\) 3.43296 32.3123i 0.210094 1.97748i
\(268\) −6.21383 + 0.893414i −0.379570 + 0.0545739i
\(269\) 5.20011 4.50592i 0.317057 0.274731i −0.481763 0.876301i \(-0.660003\pi\)
0.798820 + 0.601570i \(0.205458\pi\)
\(270\) −4.27934 2.94741i −0.260433 0.179374i
\(271\) −18.0293 + 5.29387i −1.09520 + 0.321580i −0.778944 0.627094i \(-0.784244\pi\)
−0.316257 + 0.948674i \(0.602426\pi\)
\(272\) 2.35358 5.15361i 0.142707 0.312484i
\(273\) 0.0642864 + 1.73885i 0.00389079 + 0.105240i
\(274\) −2.79949 4.35610i −0.169124 0.263162i
\(275\) −4.51480 −0.272253
\(276\) −0.150357 8.30526i −0.00905043 0.499918i
\(277\) 7.95458 0.477944 0.238972 0.971026i \(-0.423190\pi\)
0.238972 + 0.971026i \(0.423190\pi\)
\(278\) −2.21590 3.44800i −0.132901 0.206797i
\(279\) 3.67052 + 16.6717i 0.219748 + 0.998109i
\(280\) −0.504879 + 1.10553i −0.0301723 + 0.0660681i
\(281\) −26.1373 + 7.67461i −1.55922 + 0.457829i −0.943841 0.330400i \(-0.892816\pi\)
−0.615382 + 0.788229i \(0.710998\pi\)
\(282\) −14.3695 + 10.0036i −0.855691 + 0.595708i
\(283\) −4.81602 + 4.17311i −0.286283 + 0.248066i −0.786149 0.618037i \(-0.787928\pi\)
0.499866 + 0.866103i \(0.333383\pi\)
\(284\) 10.6022 1.52437i 0.629127 0.0904548i
\(285\) −10.1273 1.07596i −0.599891 0.0637342i
\(286\) 2.82040 + 2.44389i 0.166774 + 0.144510i
\(287\) −2.44777 1.57308i −0.144487 0.0928562i
\(288\) −0.630343 + 2.93303i −0.0371433 + 0.172830i
\(289\) −9.88779 + 11.4111i −0.581635 + 0.671242i
\(290\) −6.77642 1.98974i −0.397925 0.116841i
\(291\) 5.17679 + 15.4889i 0.303469 + 0.907977i
\(292\) 6.14091 + 7.08699i 0.359370 + 0.414735i
\(293\) 2.93117 + 6.41837i 0.171241 + 0.374965i 0.975722 0.219013i \(-0.0702837\pi\)
−0.804481 + 0.593978i \(0.797556\pi\)
\(294\) −8.54873 + 4.29260i −0.498572 + 0.250350i
\(295\) −12.2679 5.60256i −0.714265 0.326194i
\(296\) −1.35743 + 9.44111i −0.0788988 + 0.548753i
\(297\) 21.0175 + 10.4219i 1.21956 + 0.604742i
\(298\) 4.96416i 0.287566i
\(299\) 1.18835 3.78191i 0.0687242 0.218714i
\(300\) −0.309668 1.70414i −0.0178787 0.0983888i
\(301\) −1.13327 + 0.728308i −0.0653206 + 0.0419790i
\(302\) 4.39282 + 0.631593i 0.252779 + 0.0363441i
\(303\) −1.08988 + 4.29257i −0.0626121 + 0.246602i
\(304\) 1.65656 + 5.64174i 0.0950105 + 0.323576i
\(305\) 10.5887 4.83570i 0.606308 0.276891i
\(306\) 8.10827 14.9381i 0.463519 0.853956i
\(307\) 2.93857 + 20.4382i 0.167713 + 1.16647i 0.883596 + 0.468249i \(0.155115\pi\)
−0.715884 + 0.698220i \(0.753976\pi\)
\(308\) 1.54590 5.26484i 0.0880857 0.299992i
\(309\) 4.78175 8.08229i 0.272024 0.459785i
\(310\) −3.07642 + 4.78701i −0.174729 + 0.271884i
\(311\) 5.55004 8.63602i 0.314714 0.489704i −0.647475 0.762086i \(-0.724175\pi\)
0.962189 + 0.272382i \(0.0878115\pi\)
\(312\) −0.729013 + 1.23220i −0.0412723 + 0.0697598i
\(313\) 4.79668 16.3360i 0.271124 0.923365i −0.705554 0.708656i \(-0.749302\pi\)
0.976678 0.214708i \(-0.0688801\pi\)
\(314\) 1.09861 + 7.64099i 0.0619981 + 0.431206i
\(315\) −1.73935 + 3.20446i −0.0980013 + 0.180551i
\(316\) 9.93592 4.53758i 0.558939 0.255259i
\(317\) 1.15062 + 3.91864i 0.0646251 + 0.220093i 0.985474 0.169827i \(-0.0543209\pi\)
−0.920849 + 0.389920i \(0.872503\pi\)
\(318\) −2.69341 + 10.6081i −0.151039 + 0.594875i
\(319\) 31.5612 + 4.53782i 1.76709 + 0.254069i
\(320\) −0.841254 + 0.540641i −0.0470275 + 0.0302227i
\(321\) −0.163412 0.899279i −0.00912078 0.0501928i
\(322\) −5.78395 + 0.720602i −0.322327 + 0.0401576i
\(323\) 33.3133i 1.85360i
\(324\) −2.49225 + 8.64804i −0.138458 + 0.480447i
\(325\) 0.117637 0.818184i 0.00652533 0.0453847i
\(326\) −9.87638 4.51039i −0.547002 0.249808i
\(327\) −3.79051 + 1.90334i −0.209616 + 0.105255i
\(328\) −0.994535 2.17773i −0.0549140 0.120245i
\(329\) 8.04540 + 9.28489i 0.443557 + 0.511893i
\(330\) 2.47881 + 7.41658i 0.136454 + 0.408270i
\(331\) 16.0827 + 4.72230i 0.883984 + 0.259561i 0.692052 0.721847i \(-0.256707\pi\)
0.191931 + 0.981408i \(0.438525\pi\)
\(332\) 3.38026 3.90102i 0.185516 0.214096i
\(333\) −6.01233 + 27.9758i −0.329474 + 1.53307i
\(334\) 7.43573 + 4.77865i 0.406865 + 0.261476i
\(335\) −4.74439 4.11104i −0.259214 0.224610i
\(336\) 2.09329 + 0.222397i 0.114198 + 0.0121327i
\(337\) 22.0624 3.17209i 1.20181 0.172795i 0.487818 0.872945i \(-0.337793\pi\)
0.713995 + 0.700151i \(0.246884\pi\)
\(338\) 9.30837 8.06575i 0.506309 0.438719i
\(339\) 20.4384 14.2287i 1.11006 0.772796i
\(340\) 5.43611 1.59619i 0.294814 0.0865653i
\(341\) 10.6723 23.3691i 0.577937 1.26551i
\(342\) 3.79281 + 17.2272i 0.205092 + 0.931539i
\(343\) 8.22847 + 12.8037i 0.444295 + 0.691337i
\(344\) −1.10841 −0.0597616
\(345\) 6.17824 5.55242i 0.332625 0.298932i
\(346\) −9.83236 −0.528591
\(347\) −11.4610 17.8337i −0.615261 0.957364i −0.999419 0.0340970i \(-0.989144\pi\)
0.384158 0.923267i \(-0.374492\pi\)
\(348\) 0.451938 + 12.2243i 0.0242264 + 0.655289i
\(349\) −8.89410 + 19.4754i −0.476090 + 1.04249i 0.507430 + 0.861693i \(0.330596\pi\)
−0.983520 + 0.180799i \(0.942132\pi\)
\(350\) −1.16613 + 0.342407i −0.0623323 + 0.0183024i
\(351\) −2.43632 + 3.53729i −0.130041 + 0.188807i
\(352\) 3.41206 2.95656i 0.181863 0.157585i
\(353\) 7.32358 1.05297i 0.389795 0.0560441i 0.0553688 0.998466i \(-0.482367\pi\)
0.334426 + 0.942422i \(0.391457\pi\)
\(354\) −2.46790 + 23.2289i −0.131168 + 1.23460i
\(355\) 8.09503 + 7.01439i 0.429640 + 0.372285i
\(356\) −15.7824 10.1427i −0.836463 0.537562i
\(357\) −11.0243 4.55024i −0.583470 0.240824i
\(358\) −17.2022 + 19.8524i −0.909165 + 1.04923i
\(359\) −27.6335 8.11392i −1.45844 0.428236i −0.546116 0.837709i \(-0.683894\pi\)
−0.912322 + 0.409473i \(0.865712\pi\)
\(360\) −2.62942 + 1.44435i −0.138583 + 0.0761237i
\(361\) 10.1984 + 11.7696i 0.536760 + 0.619454i
\(362\) −7.51412 16.4536i −0.394933 0.864783i
\(363\) −7.29313 14.5243i −0.382790 0.762328i
\(364\) 0.913829 + 0.417332i 0.0478976 + 0.0218741i
\(365\) −1.33455 + 9.28198i −0.0698534 + 0.485841i
\(366\) −13.7574 14.7394i −0.719110 0.770439i
\(367\) 7.95265i 0.415125i 0.978222 + 0.207563i \(0.0665531\pi\)
−0.978222 + 0.207563i \(0.933447\pi\)
\(368\) −4.32411 2.07414i −0.225410 0.108122i
\(369\) −2.52680 6.72307i −0.131540 0.349989i
\(370\) −8.02404 + 5.15674i −0.417150 + 0.268086i
\(371\) 7.60163 + 1.09295i 0.394657 + 0.0567431i
\(372\) 9.55284 + 2.42546i 0.495292 + 0.125754i
\(373\) −9.46379 32.2307i −0.490017 1.66884i −0.718683 0.695338i \(-0.755255\pi\)
0.228666 0.973505i \(-0.426564\pi\)
\(374\) −23.2675 + 10.6259i −1.20314 + 0.549454i
\(375\) 1.08512 1.35001i 0.0560352 0.0697141i
\(376\) 1.43861 + 10.0058i 0.0741908 + 0.516008i
\(377\) −1.64471 + 5.60137i −0.0847069 + 0.288485i
\(378\) 6.21903 + 1.09790i 0.319872 + 0.0564698i
\(379\) −17.7025 + 27.5457i −0.909318 + 1.41493i 0.000536717 1.00000i \(0.499829\pi\)
−0.909855 + 0.414927i \(0.863807\pi\)
\(380\) −3.17892 + 4.94650i −0.163075 + 0.253750i
\(381\) 11.6237 + 6.87695i 0.595499 + 0.352317i
\(382\) −4.48076 + 15.2601i −0.229256 + 0.780774i
\(383\) 1.04226 + 7.24908i 0.0532570 + 0.370411i 0.998969 + 0.0454039i \(0.0144575\pi\)
−0.945712 + 0.325007i \(0.894633\pi\)
\(384\) 1.35001 + 1.08512i 0.0688923 + 0.0553746i
\(385\) 4.99125 2.27943i 0.254378 0.116170i
\(386\) 3.98640 + 13.5764i 0.202902 + 0.691022i
\(387\) −3.31735 0.228902i −0.168630 0.0116357i
\(388\) 9.33282 + 1.34186i 0.473802 + 0.0681225i
\(389\) 17.8160 11.4496i 0.903307 0.580520i −0.00446260 0.999990i \(-0.501420\pi\)
0.907769 + 0.419470i \(0.137784\pi\)
\(390\) −1.40864 + 0.255971i −0.0713293 + 0.0129616i
\(391\) 20.1956 + 18.1773i 1.02134 + 0.919268i
\(392\) 5.52290i 0.278949i
\(393\) 9.93376 9.27194i 0.501092 0.467708i
\(394\) 3.80657 26.4753i 0.191772 1.33381i
\(395\) 9.93592 + 4.53758i 0.499930 + 0.228311i
\(396\) 10.8225 8.14402i 0.543849 0.409252i
\(397\) 4.88973 + 10.7070i 0.245409 + 0.537370i 0.991749 0.128195i \(-0.0409182\pi\)
−0.746340 + 0.665564i \(0.768191\pi\)
\(398\) 1.51584 + 1.74938i 0.0759824 + 0.0876884i
\(399\) 11.7393 3.92357i 0.587700 0.196424i
\(400\) −0.959493 0.281733i −0.0479746 0.0140866i
\(401\) −15.2324 + 17.5791i −0.760670 + 0.877860i −0.995557 0.0941628i \(-0.969983\pi\)
0.234887 + 0.972023i \(0.424528\pi\)
\(402\) −4.14845 + 10.0509i −0.206906 + 0.501292i
\(403\) 3.95693 + 2.54296i 0.197109 + 0.126674i
\(404\) 1.93241 + 1.67445i 0.0961412 + 0.0833068i
\(405\) −8.16783 + 3.77975i −0.405863 + 0.187817i
\(406\) 8.49612 1.22156i 0.421655 0.0606249i
\(407\) 32.5449 28.2003i 1.61319 1.39784i
\(408\) −5.60674 8.05367i −0.277575 0.398716i
\(409\) −23.7035 + 6.95998i −1.17206 + 0.344149i −0.809110 0.587658i \(-0.800050\pi\)
−0.362954 + 0.931807i \(0.618232\pi\)
\(410\) 0.994535 2.17773i 0.0491166 0.107550i
\(411\) −8.96262 + 0.331353i −0.442093 + 0.0163444i
\(412\) −2.93126 4.56113i −0.144413 0.224711i
\(413\) 16.3912 0.806556
\(414\) −12.5132 7.10065i −0.614991 0.348978i
\(415\) 5.16179 0.253382
\(416\) 0.446892 + 0.695378i 0.0219107 + 0.0340937i
\(417\) −7.09422 + 0.262277i −0.347405 + 0.0128438i
\(418\) 11.0279 24.1477i 0.539391 1.18110i
\(419\) −26.3646 + 7.74134i −1.28799 + 0.378189i −0.852842 0.522168i \(-0.825123\pi\)
−0.435151 + 0.900357i \(0.643305\pi\)
\(420\) 1.20273 + 1.72764i 0.0586874 + 0.0843001i
\(421\) −7.88516 + 6.83253i −0.384299 + 0.332997i −0.825491 0.564416i \(-0.809101\pi\)
0.441191 + 0.897413i \(0.354556\pi\)
\(422\) −0.929152 + 0.133592i −0.0452304 + 0.00650315i
\(423\) 2.23928 + 30.2432i 0.108877 + 1.47047i
\(424\) 4.77554 + 4.13803i 0.231921 + 0.200960i
\(425\) 4.76621 + 3.06306i 0.231195 + 0.148580i
\(426\) 7.07822 17.1491i 0.342941 0.830878i
\(427\) −9.26470 + 10.6920i −0.448350 + 0.517424i
\(428\) −0.506326 0.148671i −0.0244742 0.00718627i
\(429\) 6.13053 2.04898i 0.295985 0.0989255i
\(430\) −0.725856 0.837682i −0.0350039 0.0403966i
\(431\) 8.67898 + 19.0043i 0.418052 + 0.915406i 0.995116 + 0.0987075i \(0.0314708\pi\)
−0.577065 + 0.816699i \(0.695802\pi\)
\(432\) 3.81633 + 3.52642i 0.183613 + 0.169665i
\(433\) −20.6247 9.41898i −0.991159 0.452647i −0.147230 0.989102i \(-0.547036\pi\)
−0.843929 + 0.536455i \(0.819763\pi\)
\(434\) 0.984221 6.84541i 0.0472441 0.328590i
\(435\) −8.94252 + 8.34674i −0.428761 + 0.400195i
\(436\) 2.44885i 0.117279i
\(437\) −28.1941 0.531575i −1.34871 0.0254287i
\(438\) 15.9805 2.90389i 0.763577 0.138753i
\(439\) −10.2276 + 6.57288i −0.488137 + 0.313707i −0.761456 0.648217i \(-0.775515\pi\)
0.273319 + 0.961924i \(0.411879\pi\)
\(440\) 4.46884 + 0.642523i 0.213044 + 0.0306311i
\(441\) −1.14055 + 16.5294i −0.0543119 + 0.787114i
\(442\) −1.31940 4.49347i −0.0627576 0.213733i
\(443\) −33.2316 + 15.1764i −1.57888 + 0.721050i −0.995816 0.0913761i \(-0.970873\pi\)
−0.583064 + 0.812426i \(0.698146\pi\)
\(444\) 12.8766 + 10.3501i 0.611098 + 0.491192i
\(445\) −2.66990 18.5696i −0.126565 0.880282i
\(446\) 5.52771 18.8257i 0.261745 0.891421i
\(447\) −7.40005 4.37812i −0.350010 0.207078i
\(448\) 0.657074 1.02243i 0.0310438 0.0483051i
\(449\) 12.8166 19.9430i 0.604851 0.941167i −0.394897 0.918725i \(-0.629220\pi\)
0.999748 0.0224414i \(-0.00714392\pi\)
\(450\) −2.81347 1.04134i −0.132628 0.0490893i
\(451\) −3.04518 + 10.3709i −0.143392 + 0.488348i
\(452\) −2.04621 14.2317i −0.0962456 0.669403i
\(453\) 4.81574 5.99133i 0.226263 0.281497i
\(454\) 3.95629 1.80678i 0.185678 0.0847963i
\(455\) 0.283032 + 0.963920i 0.0132688 + 0.0451892i
\(456\) 9.87112 + 2.50627i 0.462257 + 0.117367i
\(457\) −18.5992 2.67415i −0.870032 0.125092i −0.307182 0.951651i \(-0.599386\pi\)
−0.562850 + 0.826559i \(0.690295\pi\)
\(458\) 2.98027 1.91531i 0.139259 0.0894963i
\(459\) −15.1171 25.2616i −0.705608 1.17911i
\(460\) −1.26416 4.62622i −0.0589417 0.215699i
\(461\) 31.8379i 1.48284i −0.671043 0.741418i \(-0.734153\pi\)
0.671043 0.741418i \(-0.265847\pi\)
\(462\) −6.48488 6.94776i −0.301704 0.323239i
\(463\) −3.75393 + 26.1092i −0.174460 + 1.21340i 0.694860 + 0.719145i \(0.255466\pi\)
−0.869320 + 0.494250i \(0.835443\pi\)
\(464\) 6.42428 + 2.93387i 0.298239 + 0.136201i
\(465\) 4.42274 + 8.80789i 0.205099 + 0.408456i
\(466\) 6.70418 + 14.6801i 0.310565 + 0.680043i
\(467\) −8.91992 10.2941i −0.412765 0.476356i 0.510855 0.859667i \(-0.329329\pi\)
−0.923619 + 0.383311i \(0.874784\pi\)
\(468\) 1.19389 + 2.17347i 0.0551877 + 0.100469i
\(469\) 7.32065 + 2.14954i 0.338036 + 0.0992563i
\(470\) −6.61977 + 7.63962i −0.305347 + 0.352389i
\(471\) 12.3593 + 5.10124i 0.569487 + 0.235053i
\(472\) 11.3457 + 7.29144i 0.522228 + 0.335616i
\(473\) 3.78197 + 3.27709i 0.173895 + 0.150681i
\(474\) 1.99878 18.8133i 0.0918072 0.864125i
\(475\) −5.82007 + 0.836800i −0.267043 + 0.0383950i
\(476\) −5.20390 + 4.50921i −0.238521 + 0.206679i
\(477\) 13.4381 + 13.3709i 0.615287 + 0.612209i
\(478\) −10.8803 + 3.19474i −0.497653 + 0.146124i
\(479\) 0.334010 0.731380i 0.0152613 0.0334176i −0.901848 0.432054i \(-0.857789\pi\)
0.917109 + 0.398636i \(0.130516\pi\)
\(480\) 0.0639912 + 1.73087i 0.00292078 + 0.0790030i
\(481\) 4.26254 + 6.63265i 0.194355 + 0.302423i
\(482\) −7.84718 −0.357429
\(483\) −4.02693 + 9.25764i −0.183232 + 0.421237i
\(484\) −9.38341 −0.426518
\(485\) 5.09759 + 7.93200i 0.231470 + 0.360174i
\(486\) 10.6936 + 11.3423i 0.485070 + 0.514497i
\(487\) 6.33462 13.8709i 0.287049 0.628550i −0.710092 0.704109i \(-0.751347\pi\)
0.997141 + 0.0755587i \(0.0240740\pi\)
\(488\) −11.1691 + 3.27955i −0.505602 + 0.148458i
\(489\) −15.4340 + 10.7448i −0.697952 + 0.485895i
\(490\) −4.17393 + 3.61673i −0.188559 + 0.163387i
\(491\) −30.6673 + 4.40929i −1.38399 + 0.198988i −0.793754 0.608239i \(-0.791876\pi\)
−0.590240 + 0.807228i \(0.700967\pi\)
\(492\) −4.12345 0.438088i −0.185900 0.0197505i
\(493\) −30.2401 26.2032i −1.36194 1.18013i
\(494\) 4.08877 + 2.62769i 0.183962 + 0.118225i
\(495\) 13.2420 + 2.84587i 0.595186 + 0.127912i
\(496\) 3.72637 4.30046i 0.167319 0.193097i
\(497\) −12.4907 3.66761i −0.560286 0.164515i
\(498\) −2.83404 8.47942i −0.126996 0.379972i
\(499\) −10.7267 12.3793i −0.480194 0.554173i 0.463025 0.886345i \(-0.346764\pi\)
−0.943219 + 0.332172i \(0.892219\pi\)
\(500\) −0.415415 0.909632i −0.0185779 0.0406800i
\(501\) 13.6814 6.86990i 0.611241 0.306924i
\(502\) −24.3986 11.1425i −1.08896 0.497312i
\(503\) 0.634724 4.41460i 0.0283009 0.196837i −0.970766 0.240028i \(-0.922843\pi\)
0.999067 + 0.0431909i \(0.0137524\pi\)
\(504\) 2.17769 2.92431i 0.0970020 0.130259i
\(505\) 2.55695i 0.113783i
\(506\) 8.62178 + 19.8616i 0.383285 + 0.882956i
\(507\) −3.81410 20.9895i −0.169390 0.932176i
\(508\) 6.55966 4.21564i 0.291038 0.187039i
\(509\) 8.96788 + 1.28939i 0.397494 + 0.0571511i 0.338164 0.941087i \(-0.390194\pi\)
0.0593308 + 0.998238i \(0.481103\pi\)
\(510\) 2.41492 9.51133i 0.106935 0.421169i
\(511\) −3.21089 10.9353i −0.142042 0.483749i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 29.0255 + 9.53950i 1.28151 + 0.421179i
\(514\) −2.74363 19.0824i −0.121016 0.841686i
\(515\) 1.52750 5.20220i 0.0673099 0.229236i
\(516\) −0.977559 + 1.65230i −0.0430346 + 0.0727387i
\(517\) 24.6741 38.3936i 1.08516 1.68855i
\(518\) 6.26730 9.75210i 0.275369 0.428483i
\(519\) −8.67161 + 14.6571i −0.380641 + 0.643373i
\(520\) −0.232879 + 0.793114i −0.0102124 + 0.0347804i
\(521\) −0.167605 1.16572i −0.00734292 0.0510711i 0.985821 0.167803i \(-0.0536673\pi\)
−0.993163 + 0.116732i \(0.962758\pi\)
\(522\) 18.6212 + 10.1074i 0.815029 + 0.442390i
\(523\) −11.9592 + 5.46159i −0.522940 + 0.238819i −0.659353 0.751833i \(-0.729170\pi\)
0.136413 + 0.990652i \(0.456443\pi\)
\(524\) −2.21029 7.52756i −0.0965570 0.328843i
\(525\) −0.518039 + 2.04033i −0.0226091 + 0.0890472i
\(526\) −9.68200 1.39206i −0.422155 0.0606968i
\(527\) −27.1213 + 17.4298i −1.18142 + 0.759254i
\(528\) −1.39809 7.69387i −0.0608440 0.334833i
\(529\) 15.7063 16.8021i 0.682883 0.730528i
\(530\) 6.31895i 0.274477i
\(531\) 32.4506 + 24.1655i 1.40824 + 1.04869i
\(532\) 1.01701 7.07348i 0.0440931 0.306674i
\(533\) −1.80010 0.822079i −0.0779711 0.0356082i
\(534\) −29.0389 + 14.5814i −1.25663 + 0.630998i
\(535\) −0.219215 0.480014i −0.00947749 0.0207528i
\(536\) 4.11104 + 4.74439i 0.177570 + 0.204926i
\(537\) 14.4225 + 43.1520i 0.622376 + 1.86215i
\(538\) −6.60202 1.93853i −0.284633 0.0835759i
\(539\) 16.3288 18.8444i 0.703331 0.811688i
\(540\) −0.165929 + 5.19350i −0.00714044 + 0.223493i
\(541\) −6.96297 4.47483i −0.299361 0.192388i 0.382334 0.924024i \(-0.375121\pi\)
−0.681695 + 0.731637i \(0.738757\pi\)
\(542\) 14.2008 + 12.3051i 0.609979 + 0.528550i
\(543\) −31.1544 3.30993i −1.33696 0.142043i
\(544\) −5.60794 + 0.806300i −0.240438 + 0.0345698i
\(545\) −1.85072 + 1.60366i −0.0792761 + 0.0686931i
\(546\) 1.42806 0.994176i 0.0611154 0.0425468i
\(547\) 20.4811 6.01378i 0.875707 0.257131i 0.187166 0.982328i \(-0.440070\pi\)
0.688541 + 0.725198i \(0.258252\pi\)
\(548\) −2.15106 + 4.71017i −0.0918888 + 0.201208i
\(549\) −34.1052 + 7.50874i −1.45557 + 0.320465i
\(550\) 2.44088 + 3.79809i 0.104080 + 0.161951i
\(551\) 41.5269 1.76911
\(552\) −6.90554 + 4.61665i −0.293919 + 0.196498i
\(553\) −13.2754 −0.564527
\(554\) −4.30057 6.69182i −0.182714 0.284308i
\(555\) 0.610360 + 16.5094i 0.0259084 + 0.700783i
\(556\) −1.70264 + 3.72826i −0.0722080 + 0.158113i
\(557\) −34.9105 + 10.2507i −1.47921 + 0.434334i −0.919079 0.394072i \(-0.871066\pi\)
−0.560127 + 0.828407i \(0.689248\pi\)
\(558\) 12.0407 12.1012i 0.509724 0.512287i
\(559\) −0.692425 + 0.599990i −0.0292865 + 0.0253769i
\(560\) 1.20299 0.172964i 0.0508356 0.00730906i
\(561\) −4.68067 + 44.0563i −0.197618 + 1.86006i
\(562\) 20.5872 + 17.8389i 0.868419 + 0.752489i
\(563\) 7.32923 + 4.71021i 0.308890 + 0.198512i 0.685897 0.727699i \(-0.259410\pi\)
−0.377006 + 0.926211i \(0.623047\pi\)
\(564\) 16.1843 + 6.68001i 0.681483 + 0.281279i
\(565\) 9.41562 10.8662i 0.396118 0.457145i
\(566\) 6.11438 + 1.79534i 0.257007 + 0.0754640i
\(567\) 7.12148 8.30239i 0.299074 0.348668i
\(568\) −7.01439 8.09503i −0.294317 0.339660i
\(569\) −11.2547 24.6443i −0.471821 1.03314i −0.984632 0.174642i \(-0.944123\pi\)
0.512811 0.858501i \(-0.328604\pi\)
\(570\) 4.57009 + 9.10135i 0.191420 + 0.381214i
\(571\) 18.0331 + 8.23544i 0.754661 + 0.344642i 0.755319 0.655357i \(-0.227482\pi\)
−0.000657473 1.00000i \(0.500209\pi\)
\(572\) 0.531107 3.69393i 0.0222067 0.154451i
\(573\) 18.7963 + 20.1380i 0.785228 + 0.841277i
\(574\) 2.90966i 0.121447i
\(575\) 2.66842 3.98492i 0.111281 0.166183i
\(576\) 2.80821 1.05544i 0.117009 0.0439766i
\(577\) −8.40219 + 5.39976i −0.349788 + 0.224795i −0.703722 0.710475i \(-0.748480\pi\)
0.353934 + 0.935270i \(0.384844\pi\)
\(578\) 14.9454 + 2.14882i 0.621646 + 0.0893792i
\(579\) 23.7541 + 6.03116i 0.987187 + 0.250646i
\(580\) 1.98974 + 6.77642i 0.0826193 + 0.281375i
\(581\) −5.70652 + 2.60608i −0.236746 + 0.108118i
\(582\) 10.2313 12.7289i 0.424102 0.527632i
\(583\) −4.06007 28.2384i −0.168151 1.16951i
\(584\) 2.64193 8.99758i 0.109324 0.372322i
\(585\) −0.860769 + 2.32561i −0.0355884 + 0.0961520i
\(586\) 3.81477 5.93589i 0.157587 0.245209i
\(587\) −8.78766 + 13.6739i −0.362706 + 0.564381i −0.973865 0.227126i \(-0.927067\pi\)
0.611160 + 0.791507i \(0.290703\pi\)
\(588\) 8.23296 + 4.87089i 0.339522 + 0.200872i
\(589\) 9.42640 32.1034i 0.388408 1.32280i
\(590\) 1.91935 + 13.3494i 0.0790185 + 0.549586i
\(591\) −36.1094 29.0242i −1.48534 1.19390i
\(592\) 8.67625 3.96231i 0.356592 0.162850i
\(593\) −9.85283 33.5556i −0.404607 1.37797i −0.870083 0.492905i \(-0.835935\pi\)
0.465476 0.885060i \(-0.345883\pi\)
\(594\) −2.59543 23.3156i −0.106492 0.956649i
\(595\) −6.81566 0.979945i −0.279415 0.0401738i
\(596\) −4.17612 + 2.68383i −0.171060 + 0.109934i
\(597\) 3.94468 0.716807i 0.161445 0.0293370i
\(598\) −3.82402 + 1.04495i −0.156376 + 0.0427312i
\(599\) 19.8338i 0.810387i 0.914231 + 0.405194i \(0.132796\pi\)
−0.914231 + 0.405194i \(0.867204\pi\)
\(600\) −1.26620 + 1.18184i −0.0516923 + 0.0482484i
\(601\) 3.02790 21.0595i 0.123510 0.859034i −0.830019 0.557735i \(-0.811671\pi\)
0.953530 0.301299i \(-0.0974203\pi\)
\(602\) 1.22538 + 0.559614i 0.0499429 + 0.0228082i
\(603\) 11.3241 + 15.0484i 0.461152 + 0.612818i
\(604\) −1.84361 4.03694i −0.0750154 0.164261i
\(605\) −6.14482 7.09150i −0.249823 0.288311i
\(606\) 4.20037 1.40387i 0.170628 0.0570284i
\(607\) 27.1785 + 7.98032i 1.10314 + 0.323911i 0.782099 0.623154i \(-0.214149\pi\)
0.321041 + 0.947065i \(0.395967\pi\)
\(608\) 3.85053 4.44375i 0.156160 0.180218i
\(609\) 5.67214 13.7425i 0.229847 0.556873i
\(610\) −9.79274 6.29341i −0.396496 0.254813i
\(611\) 6.31489 + 5.47188i 0.255473 + 0.221369i
\(612\) −16.9504 + 1.25505i −0.685180 + 0.0507323i
\(613\) −10.1909 + 1.46523i −0.411605 + 0.0591799i −0.345007 0.938600i \(-0.612124\pi\)
−0.0665980 + 0.997780i \(0.521214\pi\)
\(614\) 15.6050 13.5218i 0.629766 0.545695i
\(615\) −2.36920 3.40318i −0.0955355 0.137230i
\(616\) −5.26484 + 1.54590i −0.212127 + 0.0622860i
\(617\) 11.0026 24.0924i 0.442948 0.969922i −0.548099 0.836413i \(-0.684648\pi\)
0.991048 0.133509i \(-0.0426244\pi\)
\(618\) −9.38446 + 0.346949i −0.377498 + 0.0139563i
\(619\) 13.6687 + 21.2689i 0.549390 + 0.854868i 0.999269 0.0382218i \(-0.0121693\pi\)
−0.449879 + 0.893089i \(0.648533\pi\)
\(620\) 5.69033 0.228529
\(621\) −21.6209 + 12.3910i −0.867616 + 0.497234i
\(622\) −10.2657 −0.411615
\(623\) 12.3270 + 19.1813i 0.493873 + 0.768481i
\(624\) 1.43073 0.0528949i 0.0572751 0.00211749i
\(625\) 0.415415 0.909632i 0.0166166 0.0363853i
\(626\) −16.3360 + 4.79668i −0.652918 + 0.191714i
\(627\) −26.2709 37.7361i −1.04916 1.50704i
\(628\) 5.83406 5.05524i 0.232804 0.201726i
\(629\) −53.4896 + 7.69064i −2.13277 + 0.306646i
\(630\) 3.63613 0.269227i 0.144867 0.0107263i
\(631\) −15.2886 13.2477i −0.608631 0.527382i 0.295109 0.955464i \(-0.404644\pi\)
−0.903740 + 0.428082i \(0.859190\pi\)
\(632\) −9.18902 5.90543i −0.365520 0.234905i
\(633\) −0.620316 + 1.50290i −0.0246554 + 0.0597350i
\(634\) 2.67450 3.08654i 0.106218 0.122582i
\(635\) 7.48163 + 2.19681i 0.296899 + 0.0871775i
\(636\) 10.3803 3.46936i 0.411606 0.137569i
\(637\) 2.98958 + 3.45016i 0.118451 + 0.136700i
\(638\) −13.2458 29.0043i −0.524407 1.14829i
\(639\) −19.3215 25.6761i −0.764347 1.01573i
\(640\) 0.909632 + 0.415415i 0.0359564 + 0.0164207i
\(641\) 4.53648 31.5519i 0.179180 1.24622i −0.679486 0.733689i \(-0.737797\pi\)
0.858666 0.512536i \(-0.171294\pi\)
\(642\) −0.668174 + 0.623658i −0.0263707 + 0.0246138i
\(643\) 2.72511i 0.107468i 0.998555 + 0.0537339i \(0.0171123\pi\)
−0.998555 + 0.0537339i \(0.982888\pi\)
\(644\) 3.73325 + 4.47618i 0.147111 + 0.176386i
\(645\) −1.88889 + 0.343240i −0.0743751 + 0.0135151i
\(646\) −28.0249 + 18.0105i −1.10263 + 0.708615i
\(647\) −3.54478 0.509662i −0.139360 0.0200369i 0.0722820 0.997384i \(-0.476972\pi\)
−0.211642 + 0.977347i \(0.567881\pi\)
\(648\) 8.62261 2.57887i 0.338728 0.101308i
\(649\) −17.1546 58.4231i −0.673376 2.29331i
\(650\) −0.751899 + 0.343381i −0.0294919 + 0.0134685i
\(651\) −9.33639 7.50445i −0.365922 0.294123i
\(652\) 1.54519 + 10.7470i 0.0605144 + 0.420887i
\(653\) −5.31800 + 18.1114i −0.208109 + 0.708755i 0.787597 + 0.616190i \(0.211325\pi\)
−0.995707 + 0.0925650i \(0.970493\pi\)
\(654\) 3.65049 + 2.15975i 0.142746 + 0.0844531i
\(655\) 4.24152 6.59993i 0.165730 0.257881i
\(656\) −1.29433 + 2.01402i −0.0505353 + 0.0786344i
\(657\) 9.76510 26.3831i 0.380973 1.02930i
\(658\) 3.46127 11.7880i 0.134934 0.459545i
\(659\) 1.29883 + 9.03358i 0.0505954 + 0.351899i 0.999355 + 0.0359009i \(0.0114301\pi\)
−0.948760 + 0.315998i \(0.897661\pi\)
\(660\) 4.89908 6.09502i 0.190697 0.237248i
\(661\) 12.9016 5.89198i 0.501815 0.229171i −0.148392 0.988929i \(-0.547410\pi\)
0.650207 + 0.759757i \(0.274682\pi\)
\(662\) −4.72230 16.0827i −0.183537 0.625071i
\(663\) −7.86204 1.99617i −0.305336 0.0775248i
\(664\) −5.10925 0.734600i −0.198277 0.0285080i
\(665\) 6.01179 3.86354i 0.233127 0.149822i
\(666\) 26.7853 10.0670i 1.03791 0.390087i
\(667\) −22.6591 + 25.1750i −0.877364 + 0.974780i
\(668\) 8.83887i 0.341986i
\(669\) −23.1882 24.8433i −0.896507 0.960499i
\(670\) −0.893414 + 6.21383i −0.0345156 + 0.240061i
\(671\) 47.8059 + 21.8322i 1.84553 + 0.842823i
\(672\) −0.944623 1.88122i −0.0364396 0.0725697i
\(673\) −6.95234 15.2235i −0.267993 0.586823i 0.727015 0.686622i \(-0.240907\pi\)
−0.995008 + 0.0997991i \(0.968180\pi\)
\(674\) −14.5963 16.8451i −0.562230 0.648848i
\(675\) −4.03365 + 3.27562i −0.155255 + 0.126079i
\(676\) −11.8178 3.47003i −0.454532 0.133463i
\(677\) 13.9117 16.0549i 0.534669 0.617040i −0.422573 0.906329i \(-0.638873\pi\)
0.957242 + 0.289288i \(0.0934186\pi\)
\(678\) −23.0198 9.50131i −0.884069 0.364896i
\(679\) −9.64024 6.19541i −0.369959 0.237758i
\(680\) −4.28178 3.71018i −0.164199 0.142279i
\(681\) 0.795877 7.49110i 0.0304981 0.287060i
\(682\) −25.4292 + 3.65617i −0.973734 + 0.140002i
\(683\) 2.18782 1.89576i 0.0837146 0.0725391i −0.611998 0.790859i \(-0.709634\pi\)
0.695713 + 0.718320i \(0.255089\pi\)
\(684\) 12.4419 12.5044i 0.475727 0.478119i
\(685\) −4.96836 + 1.45884i −0.189831 + 0.0557394i
\(686\) 6.32255 13.8445i 0.241396 0.528584i
\(687\) −0.226699 6.13187i −0.00864910 0.233946i
\(688\) 0.599253 + 0.932456i 0.0228463 + 0.0355495i
\(689\) 5.22322 0.198989
\(690\) −8.01120 2.19560i −0.304981 0.0835849i
\(691\) −5.21430 −0.198361 −0.0991807 0.995069i \(-0.531622\pi\)
−0.0991807 + 0.995069i \(0.531622\pi\)
\(692\) 5.31578 + 8.27151i 0.202076 + 0.314436i
\(693\) −16.0763 + 3.53943i −0.610688 + 0.134452i
\(694\) −8.80638 + 19.2833i −0.334286 + 0.731983i
\(695\) −3.93262 + 1.15472i −0.149173 + 0.0438011i
\(696\) 10.0394 6.98913i 0.380541 0.264922i
\(697\) 10.2509 8.88245i 0.388280 0.336447i
\(698\) 21.1922 3.04698i 0.802138 0.115330i
\(699\) 27.7963 + 2.95316i 1.05135 + 0.111699i
\(700\) 0.918508 + 0.795892i 0.0347163 + 0.0300819i
\(701\) 14.7430 + 9.47478i 0.556837 + 0.357857i 0.788592 0.614917i \(-0.210810\pi\)
−0.231755 + 0.972774i \(0.574447\pi\)
\(702\) 4.29293 + 0.137156i 0.162026 + 0.00517663i
\(703\) 36.7271 42.3853i 1.38519 1.59859i
\(704\) −4.33192 1.27197i −0.163265 0.0479390i
\(705\) 5.55007 + 16.6058i 0.209028 + 0.625410i
\(706\) −4.84525 5.59171i −0.182353 0.210447i
\(707\) −1.29095 2.82679i −0.0485512 0.106312i
\(708\) 20.8756 10.4823i 0.784553 0.393950i
\(709\) 11.0655 + 5.05344i 0.415573 + 0.189786i 0.612218 0.790689i \(-0.290277\pi\)
−0.196645 + 0.980475i \(0.563005\pi\)
\(710\) 1.52437 10.6022i 0.0572087 0.397895i
\(711\) −26.2821 19.5719i −0.985657 0.734004i
\(712\) 18.7605i 0.703081i
\(713\) 14.3186 + 23.2317i 0.536237 + 0.870035i
\(714\) 2.13230 + 11.7343i 0.0797992 + 0.439146i
\(715\) 3.13949 2.01763i 0.117410 0.0754550i
\(716\) 26.0011 + 3.73840i 0.971707 + 0.139710i
\(717\) −4.83344 + 19.0368i −0.180508 + 0.710942i
\(718\) 8.11392 + 27.6335i 0.302809 + 1.03127i
\(719\) 10.5859 4.83442i 0.394788 0.180294i −0.208122 0.978103i \(-0.566735\pi\)
0.602910 + 0.797809i \(0.294008\pi\)
\(720\) 2.63663 + 1.43114i 0.0982615 + 0.0533354i
\(721\) 0.937779 + 6.52240i 0.0349247 + 0.242907i
\(722\) 4.38755 14.9426i 0.163288 0.556107i
\(723\) −6.92078 + 11.6977i −0.257387 + 0.435044i
\(724\) −9.77923 + 15.2168i −0.363442 + 0.565527i
\(725\) −3.81828 + 5.94135i −0.141807 + 0.220656i
\(726\) −8.27565 + 13.9878i −0.307138 + 0.519136i
\(727\) 9.91381 33.7633i 0.367683 1.25221i −0.543219 0.839591i \(-0.682795\pi\)
0.910902 0.412622i \(-0.135387\pi\)
\(728\) −0.142971 0.994388i −0.00529887 0.0368545i
\(729\) 26.3390 5.93758i 0.975520 0.219910i
\(730\) 8.53001 3.89553i 0.315710 0.144180i
\(731\) −1.76923 6.02545i −0.0654374 0.222859i
\(732\) −4.96174 + 19.5421i −0.183391 + 0.722298i
\(733\) 6.72325 + 0.966658i 0.248329 + 0.0357043i 0.265355 0.964151i \(-0.414511\pi\)
−0.0170262 + 0.999855i \(0.505420\pi\)
\(734\) 6.69020 4.29953i 0.246940 0.158698i
\(735\) 1.71027 + 9.41181i 0.0630841 + 0.347160i
\(736\) 0.592912 + 4.75904i 0.0218550 + 0.175421i
\(737\) 28.3427i 1.04402i
\(738\) −4.28971 + 5.76044i −0.157907 + 0.212045i
\(739\) 2.45064 17.0446i 0.0901483 0.626995i −0.893790 0.448486i \(-0.851963\pi\)
0.983938 0.178509i \(-0.0571275\pi\)
\(740\) 8.67625 + 3.96231i 0.318945 + 0.145657i
\(741\) 7.52315 3.77762i 0.276370 0.138775i
\(742\) −3.19030 6.98579i −0.117120 0.256456i
\(743\) −13.5864 15.6795i −0.498436 0.575226i 0.449664 0.893198i \(-0.351544\pi\)
−0.948100 + 0.317972i \(0.896998\pi\)
\(744\) −3.12422 9.34766i −0.114540 0.342702i
\(745\) −4.76308 1.39857i −0.174506 0.0512395i
\(746\) −21.9977 + 25.3867i −0.805393 + 0.929473i
\(747\) −15.1397 3.25370i −0.553932 0.119047i
\(748\) 21.5185 + 13.8291i 0.786793 + 0.505641i
\(749\) 0.484698 + 0.419993i 0.0177105 + 0.0153462i
\(750\) −1.72236 0.182988i −0.0628916 0.00668179i
\(751\) −52.7729 + 7.58760i −1.92571 + 0.276875i −0.995848 0.0910312i \(-0.970984\pi\)
−0.929863 + 0.367907i \(0.880075\pi\)
\(752\) 7.63962 6.61977i 0.278588 0.241398i
\(753\) −38.1282 + 26.5438i −1.38947 + 0.967311i
\(754\) 5.60137 1.64471i 0.203990 0.0598968i
\(755\) 1.84361 4.03694i 0.0670959 0.146919i
\(756\) −2.43865 5.82535i −0.0886929 0.211866i
\(757\) 2.67101 + 4.15617i 0.0970794 + 0.151059i 0.886396 0.462928i \(-0.153201\pi\)
−0.789316 + 0.613987i \(0.789565\pi\)
\(758\) 32.7436 1.18930
\(759\) 37.2115 + 4.66440i 1.35069 + 0.169307i
\(760\) 5.87992 0.213287
\(761\) 20.1417 + 31.3410i 0.730135 + 1.13611i 0.985567 + 0.169285i \(0.0541458\pi\)
−0.255432 + 0.966827i \(0.582218\pi\)
\(762\) −0.498970 13.4964i −0.0180758 0.488924i
\(763\) 1.23637 2.70728i 0.0447598 0.0980102i
\(764\) 15.2601 4.48076i 0.552090 0.162108i
\(765\) −12.0487 11.9884i −0.435620 0.433441i
\(766\) 5.53482 4.79595i 0.199981 0.173285i
\(767\) 11.0346 1.58653i 0.398435 0.0572863i
\(768\) 0.182988 1.72236i 0.00660302 0.0621502i
\(769\) 23.1579 + 20.0664i 0.835095 + 0.723614i 0.963385 0.268123i \(-0.0864034\pi\)
−0.128290 + 0.991737i \(0.540949\pi\)
\(770\) −4.61605 2.96655i −0.166351 0.106907i
\(771\) −30.8657 12.7397i −1.11160 0.458808i
\(772\) 9.26601 10.6935i 0.333491 0.384869i
\(773\) 3.16327 + 0.928819i 0.113775 + 0.0334073i 0.338124 0.941101i \(-0.390208\pi\)
−0.224350 + 0.974509i \(0.572026\pi\)