Properties

Label 648.2.bd.a.133.76
Level $648$
Weight $2$
Character 648.133
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1908$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bd (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1908\)
Relative dimension: \(106\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 133.76
Character \(\chi\) \(=\) 648.133
Dual form 648.2.bd.a.229.76

$q$-expansion

\(f(q)\) \(=\) \(q+(0.876064 + 1.11019i) q^{2} +(-0.817491 + 1.52699i) q^{3} +(-0.465024 + 1.94519i) q^{4} +(0.00150451 - 0.00141943i) q^{5} +(-2.41142 + 0.430176i) q^{6} +(-0.227742 + 0.0266192i) q^{7} +(-2.56691 + 1.18785i) q^{8} +(-1.66342 - 2.49661i) q^{9} +O(q^{10})\) \(q+(0.876064 + 1.11019i) q^{2} +(-0.817491 + 1.52699i) q^{3} +(-0.465024 + 1.94519i) q^{4} +(0.00150451 - 0.00141943i) q^{5} +(-2.41142 + 0.430176i) q^{6} +(-0.227742 + 0.0266192i) q^{7} +(-2.56691 + 1.18785i) q^{8} +(-1.66342 - 2.49661i) q^{9} +(0.00289388 + 0.000426771i) q^{10} +(-1.22997 + 0.368229i) q^{11} +(-2.59013 - 2.30026i) q^{12} +(-4.36193 + 0.254054i) q^{13} +(-0.229068 - 0.229515i) q^{14} +(0.000937537 + 0.00345774i) q^{15} +(-3.56751 - 1.80912i) q^{16} +(-3.40788 - 1.24037i) q^{17} +(1.31444 - 4.03389i) q^{18} +(0.999151 + 2.74515i) q^{19} +(0.00206142 + 0.00358662i) q^{20} +(0.145529 - 0.369521i) q^{21} +(-1.48633 - 1.04290i) q^{22} +(3.60470 + 0.421329i) q^{23} +(0.284595 - 4.89071i) q^{24} +(-0.290724 + 4.99154i) q^{25} +(-4.10338 - 4.61999i) q^{26} +(5.17213 - 0.499069i) q^{27} +(0.0541260 - 0.455378i) q^{28} +(1.10532 + 2.20087i) q^{29} +(-0.00301740 + 0.00407005i) q^{30} +(-0.0468457 + 0.0629248i) q^{31} +(-1.11691 - 5.54550i) q^{32} +(0.443207 - 2.17918i) q^{33} +(-1.60848 - 4.87002i) q^{34} +(-0.000304855 + 0.000363312i) q^{35} +(5.62990 - 2.07467i) q^{36} +(-0.538535 - 0.641801i) q^{37} +(-2.17230 + 3.51417i) q^{38} +(3.17791 - 6.86833i) q^{39} +(-0.00217587 + 0.00543067i) q^{40} +(-5.74457 + 3.77826i) q^{41} +(0.537730 - 0.162159i) q^{42} +(0.284470 - 1.20027i) q^{43} +(-0.144308 - 2.56376i) q^{44} +(-0.00604638 - 0.00139506i) q^{45} +(2.69019 + 4.37100i) q^{46} +(-0.816271 - 1.09644i) q^{47} +(5.67891 - 3.96862i) q^{48} +(-6.76016 + 1.60219i) q^{49} +(-5.79622 + 4.05015i) q^{50} +(4.67995 - 4.18982i) q^{51} +(1.53422 - 8.60292i) q^{52} +(7.12191 - 4.11184i) q^{53} +(5.08518 + 5.30481i) q^{54} +(-0.00132782 + 0.00229986i) q^{55} +(0.552972 - 0.338851i) q^{56} +(-5.00861 - 0.718436i) q^{57} +(-1.47505 + 3.15522i) q^{58} +(6.96644 + 2.08562i) q^{59} +(-0.00716194 + 0.000215751i) q^{60} +(-0.693823 - 0.299286i) q^{61} +(-0.110898 + 0.00311864i) q^{62} +(0.445286 + 0.524302i) q^{63} +(5.17805 - 6.09818i) q^{64} +(-0.00620195 + 0.00657368i) q^{65} +(2.80757 - 1.41706i) q^{66} +(-5.83078 + 11.6100i) q^{67} +(3.99749 - 6.05217i) q^{68} +(-3.59018 + 5.15992i) q^{69} +(-0.000670416 - 2.01610e-5i) q^{70} +(0.402216 + 2.28108i) q^{71} +(7.23542 + 4.43268i) q^{72} +(-1.30805 + 7.41834i) q^{73} +(0.240727 - 1.16013i) q^{74} +(-7.38438 - 4.52447i) q^{75} +(-5.80445 + 0.666978i) q^{76} +(0.270313 - 0.116602i) q^{77} +(10.4092 - 2.48903i) q^{78} +(9.43915 + 6.20823i) q^{79} +(-0.00793525 + 0.00234199i) q^{80} +(-3.46610 + 8.30579i) q^{81} +(-9.22718 - 3.06754i) q^{82} +(0.822453 - 1.25048i) q^{83} +(0.651112 + 0.454918i) q^{84} +(-0.00688780 + 0.00297111i) q^{85} +(1.58174 - 0.735702i) q^{86} +(-4.26431 - 0.111379i) q^{87} +(2.71982 - 2.40622i) q^{88} +(0.854919 - 4.84848i) q^{89} +(-0.00374824 - 0.00793477i) q^{90} +(0.986631 - 0.173970i) q^{91} +(-2.49584 + 6.81589i) q^{92} +(-0.0577897 - 0.122974i) q^{93} +(0.502149 - 1.86677i) q^{94} +(0.00539977 + 0.00271187i) q^{95} +(9.38099 + 2.82789i) q^{96} +(-5.49773 + 5.82725i) q^{97} +(-7.70105 - 6.10141i) q^{98} +(2.96527 + 2.45823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1908q - 18q^{2} - 18q^{4} - 18q^{6} - 36q^{7} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1908q - 18q^{2} - 18q^{4} - 18q^{6} - 36q^{7} - 18q^{8} - 36q^{9} - 18q^{10} - 18q^{12} - 18q^{14} - 36q^{15} - 18q^{16} - 36q^{17} - 18q^{18} - 18q^{20} - 18q^{22} - 36q^{23} - 18q^{24} - 36q^{25} - 9q^{26} - 9q^{28} - 18q^{30} - 36q^{31} - 18q^{32} - 36q^{33} - 18q^{34} - 18q^{36} - 18q^{38} - 36q^{39} - 18q^{40} - 36q^{41} + 27q^{42} - 90q^{44} - 18q^{46} - 36q^{47} - 117q^{48} - 36q^{49} + 99q^{50} - 18q^{52} + 108q^{54} - 18q^{55} - 144q^{56} - 36q^{57} - 18q^{58} - 135q^{60} + 81q^{62} - 36q^{63} - 18q^{64} - 36q^{65} + 54q^{66} - 63q^{68} - 18q^{70} - 36q^{71} - 18q^{72} - 36q^{73} - 18q^{74} - 18q^{76} - 45q^{78} - 36q^{79} - 36q^{80} - 36q^{81} - 36q^{82} - 45q^{84} - 18q^{86} - 36q^{87} - 18q^{88} - 36q^{89} - 81q^{90} - 108q^{92} - 18q^{94} - 36q^{95} - 135q^{96} - 36q^{97} - 189q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.876064 + 1.11019i 0.619471 + 0.785020i
\(3\) −0.817491 + 1.52699i −0.471979 + 0.881610i
\(4\) −0.465024 + 1.94519i −0.232512 + 0.972594i
\(5\) 0.00150451 0.00141943i 0.000672836 0.000634788i −0.685905 0.727691i \(-0.740594\pi\)
0.686578 + 0.727056i \(0.259112\pi\)
\(6\) −2.41142 + 0.430176i −0.984458 + 0.175619i
\(7\) −0.227742 + 0.0266192i −0.0860782 + 0.0100611i −0.159023 0.987275i \(-0.550834\pi\)
0.0729448 + 0.997336i \(0.476760\pi\)
\(8\) −2.56691 + 1.18785i −0.907539 + 0.419967i
\(9\) −1.66342 2.49661i −0.554472 0.832202i
\(10\) 0.00289388 0.000426771i 0.000915124 0.000134957i
\(11\) −1.22997 + 0.368229i −0.370850 + 0.111025i −0.466804 0.884361i \(-0.654595\pi\)
0.0959547 + 0.995386i \(0.469410\pi\)
\(12\) −2.59013 2.30026i −0.747707 0.664028i
\(13\) −4.36193 + 0.254054i −1.20978 + 0.0704618i −0.651147 0.758951i \(-0.725712\pi\)
−0.558635 + 0.829413i \(0.688675\pi\)
\(14\) −0.229068 0.229515i −0.0612211 0.0613405i
\(15\) 0.000937537 0.00345774i 0.000242071 0.000892786i
\(16\) −3.56751 1.80912i −0.891876 0.452279i
\(17\) −3.40788 1.24037i −0.826533 0.300833i −0.106098 0.994356i \(-0.533836\pi\)
−0.720435 + 0.693522i \(0.756058\pi\)
\(18\) 1.31444 4.03389i 0.309816 0.950796i
\(19\) 0.999151 + 2.74515i 0.229221 + 0.629779i 0.999973 0.00735584i \(-0.00234146\pi\)
−0.770752 + 0.637135i \(0.780119\pi\)
\(20\) 0.00206142 + 0.00358662i 0.000460949 + 0.000801992i
\(21\) 0.145529 0.369521i 0.0317571 0.0806360i
\(22\) −1.48633 1.04290i −0.316887 0.222348i
\(23\) 3.60470 + 0.421329i 0.751632 + 0.0878532i 0.483278 0.875467i \(-0.339446\pi\)
0.268354 + 0.963320i \(0.413520\pi\)
\(24\) 0.284595 4.89071i 0.0580926 0.998311i
\(25\) −0.290724 + 4.99154i −0.0581448 + 0.998307i
\(26\) −4.10338 4.61999i −0.804739 0.906054i
\(27\) 5.17213 0.499069i 0.995377 0.0960458i
\(28\) 0.0541260 0.455378i 0.0102289 0.0860584i
\(29\) 1.10532 + 2.20087i 0.205253 + 0.408692i 0.972582 0.232562i \(-0.0747109\pi\)
−0.767329 + 0.641254i \(0.778415\pi\)
\(30\) −0.00301740 + 0.00407005i −0.000550899 + 0.000743085i
\(31\) −0.0468457 + 0.0629248i −0.00841374 + 0.0113016i −0.806310 0.591493i \(-0.798539\pi\)
0.797896 + 0.602795i \(0.205946\pi\)
\(32\) −1.11691 5.54550i −0.197443 0.980314i
\(33\) 0.443207 2.17918i 0.0771524 0.379346i
\(34\) −1.60848 4.87002i −0.275853 0.835202i
\(35\) −0.000304855 0 0.000363312i −5.15299e−5 0 6.14109e-5i
\(36\) 5.62990 2.07467i 0.938316 0.345779i
\(37\) −0.538535 0.641801i −0.0885346 0.105511i 0.719958 0.694017i \(-0.244161\pi\)
−0.808493 + 0.588506i \(0.799716\pi\)
\(38\) −2.17230 + 3.51417i −0.352394 + 0.570073i
\(39\) 3.17791 6.86833i 0.508872 1.09981i
\(40\) −0.00217587 + 0.00543067i −0.000344036 + 0.000858664i
\(41\) −5.74457 + 3.77826i −0.897151 + 0.590065i −0.912166 0.409822i \(-0.865591\pi\)
0.0150148 + 0.999887i \(0.495220\pi\)
\(42\) 0.537730 0.162159i 0.0829735 0.0250217i
\(43\) 0.284470 1.20027i 0.0433813 0.183040i −0.947041 0.321114i \(-0.895943\pi\)
0.990422 + 0.138074i \(0.0440910\pi\)
\(44\) −0.144308 2.56376i −0.0217553 0.386501i
\(45\) −0.00604638 0.00139506i −0.000901341 0.000207964i
\(46\) 2.69019 + 4.37100i 0.396648 + 0.644468i
\(47\) −0.816271 1.09644i −0.119065 0.159933i 0.738594 0.674150i \(-0.235490\pi\)
−0.857660 + 0.514217i \(0.828082\pi\)
\(48\) 5.67891 3.96862i 0.819681 0.572821i
\(49\) −6.76016 + 1.60219i −0.965737 + 0.228884i
\(50\) −5.79622 + 4.05015i −0.819710 + 0.572777i
\(51\) 4.67995 4.18982i 0.655324 0.586693i
\(52\) 1.53422 8.60292i 0.212758 1.19301i
\(53\) 7.12191 4.11184i 0.978269 0.564804i 0.0765221 0.997068i \(-0.475618\pi\)
0.901747 + 0.432264i \(0.142285\pi\)
\(54\) 5.08518 + 5.30481i 0.692005 + 0.721893i
\(55\) −0.00132782 + 0.00229986i −0.000179044 + 0.000310113i
\(56\) 0.552972 0.338851i 0.0738940 0.0452808i
\(57\) −5.00861 0.718436i −0.663407 0.0951592i
\(58\) −1.47505 + 3.15522i −0.193683 + 0.414300i
\(59\) 6.96644 + 2.08562i 0.906954 + 0.271524i 0.706112 0.708100i \(-0.250447\pi\)
0.200841 + 0.979624i \(0.435632\pi\)
\(60\) −0.00716194 0.000215751i −0.000924602 2.78534e-5i
\(61\) −0.693823 0.299286i −0.0888349 0.0383196i 0.351199 0.936301i \(-0.385774\pi\)
−0.440034 + 0.897981i \(0.645033\pi\)
\(62\) −0.110898 + 0.00311864i −0.0140841 + 0.000396068i
\(63\) 0.445286 + 0.524302i 0.0561008 + 0.0660559i
\(64\) 5.17805 6.09818i 0.647256 0.762273i
\(65\) −0.00620195 + 0.00657368i −0.000769257 + 0.000815365i
\(66\) 2.80757 1.41706i 0.345588 0.174428i
\(67\) −5.83078 + 11.6100i −0.712343 + 1.41839i 0.187539 + 0.982257i \(0.439949\pi\)
−0.899882 + 0.436134i \(0.856347\pi\)
\(68\) 3.99749 6.05217i 0.484767 0.733933i
\(69\) −3.59018 + 5.15992i −0.432207 + 0.621181i
\(70\) −0.000670416 0 2.01610e-5i −8.01300e−5 0 2.40970e-6i
\(71\) 0.402216 + 2.28108i 0.0477342 + 0.270714i 0.999328 0.0366430i \(-0.0116664\pi\)
−0.951594 + 0.307357i \(0.900555\pi\)
\(72\) 7.23542 + 4.43268i 0.852702 + 0.522397i
\(73\) −1.30805 + 7.41834i −0.153096 + 0.868250i 0.807410 + 0.589991i \(0.200869\pi\)
−0.960506 + 0.278260i \(0.910242\pi\)
\(74\) 0.240727 1.16013i 0.0279839 0.134863i
\(75\) −7.38438 4.52447i −0.852674 0.522441i
\(76\) −5.80445 + 0.666978i −0.665816 + 0.0765076i
\(77\) 0.270313 0.116602i 0.0308050 0.0132880i
\(78\) 10.4092 2.48903i 1.17861 0.281827i
\(79\) 9.43915 + 6.20823i 1.06199 + 0.698480i 0.955248 0.295807i \(-0.0955884\pi\)
0.106740 + 0.994287i \(0.465959\pi\)
\(80\) −0.00793525 + 0.00234199i −0.000887188 + 0.000261843i
\(81\) −3.46610 + 8.30579i −0.385122 + 0.922866i
\(82\) −9.22718 3.06754i −1.01897 0.338753i
\(83\) 0.822453 1.25048i 0.0902760 0.137258i −0.787526 0.616281i \(-0.788639\pi\)
0.877802 + 0.479023i \(0.159009\pi\)
\(84\) 0.651112 + 0.454918i 0.0710422 + 0.0496356i
\(85\) −0.00688780 + 0.00297111i −0.000747087 + 0.000322262i
\(86\) 1.58174 0.735702i 0.170563 0.0793327i
\(87\) −4.26431 0.111379i −0.457182 0.0119411i
\(88\) 2.71982 2.40622i 0.289934 0.256504i
\(89\) 0.854919 4.84848i 0.0906212 0.513938i −0.905380 0.424602i \(-0.860414\pi\)
0.996001 0.0893367i \(-0.0284747\pi\)
\(90\) −0.00374824 0.00793477i −0.000395099 0.000836398i
\(91\) 0.986631 0.173970i 0.103427 0.0182370i
\(92\) −2.49584 + 6.81589i −0.260209 + 0.710605i
\(93\) −0.0577897 0.122974i −0.00599251 0.0127518i
\(94\) 0.502149 1.86677i 0.0517927 0.192542i
\(95\) 0.00539977 + 0.00271187i 0.000554005 + 0.000278232i
\(96\) 9.38099 + 2.82789i 0.957444 + 0.288620i
\(97\) −5.49773 + 5.82725i −0.558210 + 0.591668i −0.943601 0.331086i \(-0.892585\pi\)
0.385391 + 0.922753i \(0.374067\pi\)
\(98\) −7.70105 6.10141i −0.777924 0.616336i
\(99\) 2.96527 + 2.45823i 0.298021 + 0.247062i
\(100\) −9.57428 2.88670i −0.957428 0.288670i
\(101\) 4.59532 + 1.98223i 0.457252 + 0.197239i 0.612232 0.790678i \(-0.290272\pi\)
−0.154980 + 0.987918i \(0.549531\pi\)
\(102\) 8.75142 + 1.52506i 0.866519 + 0.151003i
\(103\) −2.09018 + 6.98169i −0.205952 + 0.687927i 0.791134 + 0.611642i \(0.209491\pi\)
−0.997086 + 0.0762842i \(0.975694\pi\)
\(104\) 10.8949 5.83344i 1.06833 0.572015i
\(105\) −0.000305558 0 0.000762516i −2.98195e−5 0 7.44139e-5i
\(106\) 10.8041 + 4.30441i 1.04939 + 0.418081i
\(107\) −5.72089 3.30296i −0.553059 0.319309i 0.197296 0.980344i \(-0.436784\pi\)
−0.750355 + 0.661035i \(0.770117\pi\)
\(108\) −1.43438 + 10.2928i −0.138024 + 0.990429i
\(109\) −6.03333 + 3.48334i −0.577888 + 0.333644i −0.760294 0.649579i \(-0.774945\pi\)
0.182405 + 0.983223i \(0.441612\pi\)
\(110\) −0.00371653 0.000540692i −0.000354357 5.15530e-5i
\(111\) 1.42027 0.297672i 0.134806 0.0282538i
\(112\) 0.860626 + 0.317047i 0.0813215 + 0.0299581i
\(113\) −8.60254 + 2.03884i −0.809259 + 0.191798i −0.614360 0.789025i \(-0.710586\pi\)
−0.194899 + 0.980823i \(0.562438\pi\)
\(114\) −3.59027 6.18989i −0.336260 0.579736i
\(115\) 0.00602135 0.00448273i 0.000561493 0.000418016i
\(116\) −4.79511 + 1.12660i −0.445215 + 0.104602i
\(117\) 7.88998 + 10.4674i 0.729429 + 0.967715i
\(118\) 3.78763 + 9.56118i 0.348679 + 0.880178i
\(119\) 0.809134 + 0.191768i 0.0741732 + 0.0175794i
\(120\) −0.00651384 0.00776207i −0.000594629 0.000708577i
\(121\) −7.81313 + 5.13878i −0.710285 + 0.467162i
\(122\) −0.275570 1.03247i −0.0249490 0.0934750i
\(123\) −1.07324 11.8606i −0.0967712 1.06944i
\(124\) −0.100616 0.120385i −0.00903559 0.0108109i
\(125\) 0.0132955 + 0.0158449i 0.00118918 + 0.00141721i
\(126\) −0.191974 + 0.953673i −0.0171024 + 0.0849599i
\(127\) 15.3951 + 12.9180i 1.36610 + 1.14629i 0.974047 + 0.226347i \(0.0726783\pi\)
0.392050 + 0.919944i \(0.371766\pi\)
\(128\) 11.3064 + 0.406194i 0.999355 + 0.0359028i
\(129\) 1.60026 + 1.41560i 0.140895 + 0.124636i
\(130\) −0.0127313 0.00112635i −0.00111661 9.87873e-5i
\(131\) 0.621845 + 0.462947i 0.0543309 + 0.0404478i 0.623981 0.781439i \(-0.285514\pi\)
−0.569651 + 0.821887i \(0.692921\pi\)
\(132\) 4.03281 + 1.87549i 0.351011 + 0.163240i
\(133\) −0.300622 0.598587i −0.0260672 0.0519041i
\(134\) −17.9974 + 3.69789i −1.55474 + 0.319449i
\(135\) 0.00707312 0.00809233i 0.000608757 0.000696477i
\(136\) 10.2211 0.864126i 0.876451 0.0740982i
\(137\) 0.821628 14.1068i 0.0701964 1.20523i −0.760814 0.648970i \(-0.775200\pi\)
0.831011 0.556257i \(-0.187763\pi\)
\(138\) −8.87369 + 0.534655i −0.755379 + 0.0455129i
\(139\) −1.27403 + 10.9000i −0.108062 + 0.924530i 0.825079 + 0.565018i \(0.191131\pi\)
−0.933141 + 0.359512i \(0.882943\pi\)
\(140\) −0.000564945 0 0.000761948i −4.77465e−5 0 6.43964e-5i
\(141\) 2.34156 0.350108i 0.197195 0.0294844i
\(142\) −2.18005 + 2.44491i −0.182946 + 0.205172i
\(143\) 5.27150 1.91867i 0.440825 0.160447i
\(144\) 1.41759 + 11.9160i 0.118132 + 0.992998i
\(145\) 0.00478695 + 0.00174231i 0.000397534 + 0.000144691i
\(146\) −9.38167 + 5.04675i −0.776432 + 0.417672i
\(147\) 3.07984 11.6325i 0.254021 0.959431i
\(148\) 1.49885 0.749098i 0.123205 0.0615755i
\(149\) 17.4340 1.01542i 1.42825 0.0831862i 0.673495 0.739192i \(-0.264792\pi\)
0.754756 + 0.656006i \(0.227755\pi\)
\(150\) −1.44618 12.1618i −0.118080 0.993003i
\(151\) −0.320256 1.06973i −0.0260621 0.0870534i 0.943969 0.330034i \(-0.107060\pi\)
−0.970031 + 0.242980i \(0.921875\pi\)
\(152\) −5.82554 5.85970i −0.472514 0.475285i
\(153\) 2.57201 + 10.5714i 0.207935 + 0.854647i
\(154\) 0.366261 + 0.197947i 0.0295142 + 0.0159510i
\(155\) 1.88375e−5 0 0.000161165i 1.51306e−6 0 1.29451e-5i
\(156\) 11.8824 + 9.37556i 0.951352 + 0.750645i
\(157\) −16.6507 + 15.7091i −1.32887 + 1.25373i −0.385204 + 0.922831i \(0.625869\pi\)
−0.943668 + 0.330895i \(0.892650\pi\)
\(158\) 1.37702 + 15.9180i 0.109550 + 1.26637i
\(159\) 0.456645 + 14.2365i 0.0362143 + 1.12903i
\(160\) −0.00955184 0.00675787i −0.000755139 0.000534256i
\(161\) −0.832155 −0.0655830
\(162\) −12.2575 + 3.42839i −0.963040 + 0.269360i
\(163\) 14.9741i 1.17286i −0.810000 0.586430i \(-0.800533\pi\)
0.810000 0.586430i \(-0.199467\pi\)
\(164\) −4.67806 12.9312i −0.365295 1.00976i
\(165\) −0.00242638 0.00390769i −0.000188894 0.000304213i
\(166\) 2.10879 0.182424i 0.163674 0.0141589i
\(167\) −15.8329 16.7819i −1.22519 1.29862i −0.940416 0.340025i \(-0.889565\pi\)
−0.284769 0.958596i \(-0.591917\pi\)
\(168\) 0.0653725 + 1.12139i 0.00504360 + 0.0865173i
\(169\) 6.04982 0.707123i 0.465371 0.0543941i
\(170\) −0.00933264 0.00504386i −0.000715781 0.000386846i
\(171\) 5.19155 7.06080i 0.397007 0.539953i
\(172\) 2.20247 + 1.11150i 0.167937 + 0.0847513i
\(173\) 16.1229 4.82689i 1.22580 0.366982i 0.392477 0.919762i \(-0.371618\pi\)
0.833327 + 0.552780i \(0.186433\pi\)
\(174\) −3.61215 4.83175i −0.273837 0.366294i
\(175\) −0.0666606 1.14452i −0.00503907 0.0865175i
\(176\) 5.05409 + 0.911501i 0.380966 + 0.0687070i
\(177\) −8.87973 + 8.93274i −0.667441 + 0.671426i
\(178\) 6.13168 3.29846i 0.459589 0.247230i
\(179\) −2.38887 + 6.56338i −0.178553 + 0.490570i −0.996391 0.0848779i \(-0.972950\pi\)
0.817839 + 0.575448i \(0.195172\pi\)
\(180\) 0.00552537 0.0111126i 0.000411837 0.000828285i
\(181\) −3.31523 9.10853i −0.246419 0.677032i −0.999811 0.0194591i \(-0.993806\pi\)
0.753391 0.657572i \(-0.228417\pi\)
\(182\) 1.05749 + 0.942935i 0.0783864 + 0.0698950i
\(183\) 1.02420 0.814799i 0.0757112 0.0602317i
\(184\) −9.75341 + 3.20031i −0.719031 + 0.235930i
\(185\) −0.00172122 0.000201182i −0.000126547 1.47912e-5i
\(186\) 0.0858960 0.171890i 0.00629820 0.0126036i
\(187\) 4.64833 + 0.270734i 0.339920 + 0.0197981i
\(188\) 2.51237 1.07793i 0.183234 0.0786160i
\(189\) −1.16462 + 0.251336i −0.0847139 + 0.0182820i
\(190\) 0.00171987 + 0.00837052i 0.000124772 + 0.000607261i
\(191\) 1.85800 0.933123i 0.134440 0.0675184i −0.380308 0.924860i \(-0.624182\pi\)
0.514748 + 0.857342i \(0.327886\pi\)
\(192\) 5.07887 + 12.8921i 0.366536 + 0.930404i
\(193\) 13.2739 17.8300i 0.955479 1.28343i −0.00351223 0.999994i \(-0.501118\pi\)
0.958991 0.283437i \(-0.0914746\pi\)
\(194\) −11.2857 0.998454i −0.810265 0.0716848i
\(195\) −0.00496793 0.0148443i −0.000355761 0.00106302i
\(196\) 0.0270819 13.8948i 0.00193442 0.992487i
\(197\) −5.72930 + 6.82791i −0.408196 + 0.486468i −0.930501 0.366290i \(-0.880628\pi\)
0.522305 + 0.852759i \(0.325072\pi\)
\(198\) −0.131327 + 5.44557i −0.00933300 + 0.387000i
\(199\) 19.0174 15.9575i 1.34811 1.13120i 0.368646 0.929570i \(-0.379821\pi\)
0.979462 0.201627i \(-0.0646230\pi\)
\(200\) −5.18291 13.1582i −0.366487 0.930422i
\(201\) −12.9618 18.3947i −0.914257 1.29746i
\(202\) 1.82515 + 6.83822i 0.128417 + 0.481135i
\(203\) −0.310313 0.471807i −0.0217797 0.0331144i
\(204\) 5.97370 + 11.0517i 0.418243 + 0.773777i
\(205\) −0.00327977 + 0.0138384i −0.000229069 + 0.000966518i
\(206\) −9.58211 + 3.79592i −0.667617 + 0.264474i
\(207\) −4.94422 9.70037i −0.343647 0.674222i
\(208\) 16.0208 + 6.98491i 1.11085 + 0.484316i
\(209\) −2.23977 3.00853i −0.154928 0.208104i
\(210\) 0.000578845 0.00100724i 3.99441e−5 6.95061e-5i
\(211\) 4.84177 + 20.4290i 0.333321 + 1.40639i 0.839216 + 0.543798i \(0.183014\pi\)
−0.505895 + 0.862595i \(0.668838\pi\)
\(212\) 4.68643 + 15.7655i 0.321865 + 1.08278i
\(213\) −3.81200 1.25058i −0.261194 0.0856885i
\(214\) −1.34497 9.24485i −0.0919403 0.631965i
\(215\) −0.00127572 0.00220961i −8.70031e−5 0.000150694i
\(216\) −12.6836 + 7.42475i −0.863008 + 0.505191i
\(217\) 0.00899372 0.0155776i 0.000610533 0.00105747i
\(218\) −9.15274 3.64648i −0.619902 0.246971i
\(219\) −10.2584 8.06181i −0.693200 0.544767i
\(220\) −0.00385618 0.00365235i −0.000259984 0.000246242i
\(221\) 15.1801 + 4.54462i 1.02112 + 0.305704i
\(222\) 1.57472 + 1.31599i 0.105688 + 0.0883232i
\(223\) 5.15166 11.9429i 0.344981 0.799755i −0.654080 0.756425i \(-0.726944\pi\)
0.999061 0.0433299i \(-0.0137967\pi\)
\(224\) 0.401983 + 1.23321i 0.0268586 + 0.0823972i
\(225\) 12.9455 7.57718i 0.863033 0.505145i
\(226\) −9.79987 7.76426i −0.651878 0.516471i
\(227\) −7.85367 7.40956i −0.521267 0.491790i 0.380041 0.924970i \(-0.375910\pi\)
−0.901307 + 0.433180i \(0.857391\pi\)
\(228\) 3.72662 9.40860i 0.246801 0.623100i
\(229\) −2.73965 + 5.45509i −0.181041 + 0.360482i −0.965788 0.259334i \(-0.916497\pi\)
0.784747 + 0.619817i \(0.212793\pi\)
\(230\) 0.0102517 + 0.00275766i 0.000675980 + 0.000181835i
\(231\) −0.0429287 + 0.508087i −0.00282450 + 0.0334297i
\(232\) −5.45155 4.33649i −0.357912 0.284705i
\(233\) −2.13070 12.0838i −0.139586 0.791634i −0.971555 0.236812i \(-0.923897\pi\)
0.831969 0.554822i \(-0.187214\pi\)
\(234\) −4.70867 + 17.9295i −0.307816 + 1.17209i
\(235\) −0.00278441 0.000490967i −0.000181635 3.20271e-5i
\(236\) −7.29648 + 12.5812i −0.474960 + 0.818965i
\(237\) −17.1963 + 9.33835i −1.11702 + 0.606591i
\(238\) 0.495955 + 1.06629i 0.0321480 + 0.0691173i
\(239\) 10.9355 + 25.3513i 0.707357 + 1.63984i 0.767023 + 0.641619i \(0.221737\pi\)
−0.0596665 + 0.998218i \(0.519004\pi\)
\(240\) 0.00291080 0.0140316i 0.000187891 0.000905738i
\(241\) 10.2829 + 6.76319i 0.662382 + 0.435656i 0.835682 0.549213i \(-0.185073\pi\)
−0.173300 + 0.984869i \(0.555443\pi\)
\(242\) −12.5498 4.17213i −0.806732 0.268195i
\(243\) −9.84938 12.0826i −0.631838 0.775100i
\(244\) 0.904811 1.21044i 0.0579246 0.0774905i
\(245\) −0.00789652 + 0.0120061i −0.000504490 + 0.000767040i
\(246\) 12.2272 11.5822i 0.779581 0.738451i
\(247\) −5.05564 11.7203i −0.321683 0.745745i
\(248\) 0.0455039 0.217168i 0.00288950 0.0137902i
\(249\) 1.23713 + 2.27814i 0.0783996 + 0.144371i
\(250\) −0.00594313 + 0.0286416i −0.000375877 + 0.00181146i
\(251\) −4.82822 0.851345i −0.304754 0.0537364i 0.0191797 0.999816i \(-0.493895\pi\)
−0.323934 + 0.946080i \(0.605006\pi\)
\(252\) −1.22694 + 0.622352i −0.0772896 + 0.0392045i
\(253\) −4.58882 + 0.809132i −0.288496 + 0.0508697i
\(254\) −0.854312 + 28.4085i −0.0536043 + 1.78251i
\(255\) 0.00109386 0.0129465i 6.85001e−5 0.000810740i
\(256\) 9.45419 + 12.9081i 0.590887 + 0.806754i
\(257\) −12.0816 6.06759i −0.753627 0.378486i 0.0301358 0.999546i \(-0.490406\pi\)
−0.783763 + 0.621060i \(0.786702\pi\)
\(258\) −0.169648 + 3.01674i −0.0105618 + 0.187814i
\(259\) 0.139731 + 0.131829i 0.00868246 + 0.00819148i
\(260\) −0.00990299 0.0151209i −0.000614157 0.000937757i
\(261\) 3.65611 6.42052i 0.226307 0.397420i
\(262\) 0.0308195 + 1.09593i 0.00190404 + 0.0677071i
\(263\) 10.1210 23.4631i 0.624088 1.44680i −0.253477 0.967341i \(-0.581574\pi\)
0.877565 0.479458i \(-0.159167\pi\)
\(264\) 1.45086 + 6.12021i 0.0892940 + 0.376673i
\(265\) 0.00487850 0.0162953i 0.000299684 0.00100101i
\(266\) 0.401179 0.858146i 0.0245978 0.0526163i
\(267\) 6.70471 + 5.26905i 0.410322 + 0.322461i
\(268\) −19.8722 16.7409i −1.21389 1.02261i
\(269\) 3.30077 + 1.90570i 0.201251 + 0.116193i 0.597239 0.802063i \(-0.296264\pi\)
−0.395988 + 0.918256i \(0.629598\pi\)
\(270\) 0.0151805 0.000763075i 0.000923855 4.64393e-5i
\(271\) 4.61296 + 7.98988i 0.280217 + 0.485351i 0.971438 0.237293i \(-0.0762601\pi\)
−0.691221 + 0.722644i \(0.742927\pi\)
\(272\) 9.91367 + 10.5903i 0.601105 + 0.642130i
\(273\) −0.540912 + 1.64880i −0.0327375 + 0.0997897i
\(274\) 16.3810 11.4463i 0.989611 0.691497i
\(275\) −1.48045 6.24649i −0.0892742 0.376678i
\(276\) −8.36749 9.38305i −0.503664 0.564793i
\(277\) 15.8881 11.8282i 0.954622 0.710690i −0.00261424 0.999997i \(-0.500832\pi\)
0.957236 + 0.289307i \(0.0934247\pi\)
\(278\) −13.2172 + 8.13472i −0.792715 + 0.487888i
\(279\) 0.235022 + 0.0122854i 0.0140704 + 0.000735509i
\(280\) 0.000350976 0.00129471i 2.09749e−5 7.73737e-5i
\(281\) 22.3589 + 5.29915i 1.33382 + 0.316121i 0.834839 0.550494i \(-0.185560\pi\)
0.498979 + 0.866614i \(0.333709\pi\)
\(282\) 2.44004 + 2.29284i 0.145302 + 0.136537i
\(283\) −2.54789 3.87388i −0.151456 0.230278i 0.751788 0.659405i \(-0.229192\pi\)
−0.903244 + 0.429127i \(0.858821\pi\)
\(284\) −4.62417 0.278371i −0.274394 0.0165183i
\(285\) −0.00855527 + 0.00602849i −0.000506770 + 0.000357097i
\(286\) 6.74824 + 4.17146i 0.399032 + 0.246664i
\(287\) 1.20770 1.01338i 0.0712884 0.0598181i
\(288\) −11.9870 + 12.0129i −0.706343 + 0.707869i
\(289\) −2.94760 2.47333i −0.173388 0.145490i
\(290\) 0.00225939 + 0.00684077i 0.000132676 + 0.000401704i
\(291\) −4.40383 13.1587i −0.258157 0.771378i
\(292\) −13.8218 5.99411i −0.808858 0.350779i
\(293\) 17.0210 + 12.6716i 0.994375 + 0.740285i 0.965795 0.259307i \(-0.0834941\pi\)
0.0285800 + 0.999592i \(0.490901\pi\)
\(294\) 15.6124 6.77160i 0.910531 0.394928i
\(295\) 0.0134415 0.00675055i 0.000782592 0.000393032i
\(296\) 2.14473 + 1.00775i 0.124660 + 0.0585742i
\(297\) −6.17779 + 2.51837i −0.358472 + 0.146130i
\(298\) 16.4006 + 18.4654i 0.950063 + 1.06967i
\(299\) −15.8305 0.922022i −0.915502 0.0533219i
\(300\) 12.2349 12.2600i 0.706380 0.707832i
\(301\) −0.0328353 + 0.280924i −0.00189260 + 0.0161922i
\(302\) 0.907034 1.29270i 0.0521939 0.0743863i
\(303\) −6.78349 + 5.39657i −0.389701 + 0.310025i
\(304\) 1.40181 11.6009i 0.0803994 0.665357i
\(305\) −0.00146868 0.000534555i −8.40962e−5 3.06085e-5i
\(306\) −9.48296 + 12.1166i −0.542105 + 0.692662i
\(307\) −1.31998 + 3.62661i −0.0753352 + 0.206982i −0.971644 0.236449i \(-0.924016\pi\)
0.896309 + 0.443430i \(0.146239\pi\)
\(308\) 0.101110 + 0.580032i 0.00576128 + 0.0330504i
\(309\) −8.95229 8.89917i −0.509278 0.506256i
\(310\) −0.000162420 0 0.000162104i −9.22485e−6 0 9.20689e-6i
\(311\) −0.593399 10.1883i −0.0336486 0.577724i −0.972428 0.233204i \(-0.925079\pi\)
0.938779 0.344519i \(-0.111958\pi\)
\(312\) 0.00111893 + 21.4052i 6.33467e−5 + 1.21183i
\(313\) 5.93943 + 19.8391i 0.335716 + 1.12137i 0.944631 + 0.328135i \(0.106420\pi\)
−0.608915 + 0.793236i \(0.708395\pi\)
\(314\) −32.0272 4.72317i −1.80740 0.266544i
\(315\) 0.00141415 0.000156764i 7.96782e−5 8.83267e-6i
\(316\) −16.4656 + 15.4739i −0.926262 + 0.870477i
\(317\) −2.60034 22.2474i −0.146050 1.24954i −0.845156 0.534519i \(-0.820493\pi\)
0.699106 0.715018i \(-0.253581\pi\)
\(318\) −15.4051 + 12.9790i −0.863875 + 0.727828i
\(319\) −2.16993 2.30000i −0.121493 0.128775i
\(320\) −0.000865532 0.0165246i −4.83847e−5 0.000923755i
\(321\) 9.72037 6.03562i 0.542538 0.336876i
\(322\) −0.729021 0.923847i −0.0406268 0.0514840i
\(323\) 10.5944i 0.589491i
\(324\) −14.5445 10.6046i −0.808028 0.589144i
\(325\) 21.8466i 1.21183i
\(326\) 16.6240 13.1182i 0.920717 0.726552i
\(327\) −0.386847 12.0605i −0.0213927 0.666945i
\(328\) 10.2578 16.5221i 0.566392 0.912281i
\(329\) 0.215085 + 0.227977i 0.0118580 + 0.0125688i
\(330\) 0.00221260 0.00611712i 0.000121799 0.000336737i
\(331\) 2.10031 + 17.9693i 0.115444 + 0.987684i 0.919489 + 0.393116i \(0.128603\pi\)
−0.804045 + 0.594568i \(0.797323\pi\)
\(332\) 2.04996 + 2.18133i 0.112506 + 0.119716i
\(333\) −0.706517 + 2.41209i −0.0387169 + 0.132182i
\(334\) 4.76038 32.2794i 0.260476 1.76625i
\(335\) 0.00770718 + 0.0257438i 0.000421088 + 0.00140653i
\(336\) −1.18768 + 1.05499i −0.0647934 + 0.0575543i
\(337\) 0.287681 + 4.93929i 0.0156710 + 0.269060i 0.997038 + 0.0769156i \(0.0245072\pi\)
−0.981367 + 0.192145i \(0.938456\pi\)
\(338\) 6.08507 + 6.09694i 0.330984 + 0.331630i
\(339\) 3.91921 14.8028i 0.212862 0.803975i
\(340\) −0.00257637 0.0147797i −0.000139723 0.000801542i
\(341\) 0.0344481 0.0946455i 0.00186547 0.00512534i
\(342\) 12.3869 0.422137i 0.669808 0.0228265i
\(343\) 3.00517 1.09379i 0.162264 0.0590592i
\(344\) 0.695530 + 3.41890i 0.0375005 + 0.184335i
\(345\) 0.00192269 + 0.0128591i 0.000103514 + 0.000692313i
\(346\) 19.4835 + 13.6708i 1.04744 + 0.734946i
\(347\) −2.35524 + 20.1504i −0.126436 + 1.08173i 0.769842 + 0.638235i \(0.220335\pi\)
−0.896278 + 0.443493i \(0.853739\pi\)
\(348\) 2.19966 8.24308i 0.117914 0.441876i
\(349\) −24.7867 1.44366i −1.32680 0.0772775i −0.619952 0.784639i \(-0.712848\pi\)
−0.706852 + 0.707362i \(0.749885\pi\)
\(350\) 1.21223 1.07668i 0.0647964 0.0575508i
\(351\) −22.4337 + 3.49090i −1.19742 + 0.186331i
\(352\) 3.41577 + 6.40951i 0.182061 + 0.341628i
\(353\) 12.2852 6.16987i 0.653876 0.328389i −0.0907471 0.995874i \(-0.528925\pi\)
0.744623 + 0.667485i \(0.232629\pi\)
\(354\) −17.6962 2.03250i −0.940543 0.108026i
\(355\) 0.00384297 + 0.00286098i 0.000203964 + 0.000151845i
\(356\) 9.03365 + 3.91764i 0.478783 + 0.207634i
\(357\) −0.954289 + 1.07877i −0.0505063 + 0.0570947i
\(358\) −9.37938 + 3.09785i −0.495715 + 0.163726i
\(359\) 26.5501 + 22.2781i 1.40126 + 1.17580i 0.960537 + 0.278152i \(0.0897219\pi\)
0.440722 + 0.897644i \(0.354723\pi\)
\(360\) 0.0171776 0.00360116i 0.000905341 0.000189798i
\(361\) 8.01733 6.72734i 0.421965 0.354070i
\(362\) 7.20780 11.6602i 0.378834 0.612845i
\(363\) −1.45971 16.1315i −0.0766149 0.846685i
\(364\) −0.120403 + 2.00008i −0.00631085 + 0.104833i
\(365\) 0.00856183 + 0.0130176i 0.000448147 + 0.000681374i
\(366\) 1.80184 + 0.423238i 0.0941839 + 0.0221230i
\(367\) 4.37340 + 1.03651i 0.228289 + 0.0541056i 0.343168 0.939274i \(-0.388500\pi\)
−0.114879 + 0.993379i \(0.536648\pi\)
\(368\) −12.0976 8.02442i −0.630629 0.418302i
\(369\) 18.9884 + 8.05711i 0.988499 + 0.419437i
\(370\) −0.00128455 0.00208712i −6.67806e−5 0.000108504i
\(371\) −1.51250 + 1.12601i −0.0785251 + 0.0584598i
\(372\) 0.266080 0.0552261i 0.0137956 0.00286334i
\(373\) −5.11567 21.5847i −0.264879 1.11761i −0.929027 0.370012i \(-0.879353\pi\)
0.664147 0.747602i \(-0.268795\pi\)
\(374\) 3.77167 + 5.39769i 0.195028 + 0.279108i
\(375\) −0.0350641 + 0.00734901i −0.00181070 + 0.000379501i
\(376\) 3.39770 + 1.84486i 0.175223 + 0.0951416i
\(377\) −5.38047 9.31925i −0.277108 0.479966i
\(378\) −1.29932 1.07276i −0.0668296 0.0551769i
\(379\) 10.3480 + 5.97443i 0.531542 + 0.306886i 0.741644 0.670793i \(-0.234046\pi\)
−0.210102 + 0.977679i \(0.567380\pi\)
\(380\) −0.00778611 + 0.00924248i −0.000399419 + 0.000474129i
\(381\) −32.3111 + 12.9479i −1.65535 + 0.663339i
\(382\) 2.66367 + 1.24525i 0.136285 + 0.0637125i
\(383\) 0.494688 1.65237i 0.0252774 0.0844323i −0.944420 0.328741i \(-0.893376\pi\)
0.969698 + 0.244308i \(0.0785609\pi\)
\(384\) −9.86315 + 16.9328i −0.503327 + 0.864096i
\(385\) 0.000241180 0 0.000559119i 1.22917e−5 0 2.84953e-5i
\(386\) 31.4234 0.883680i 1.59941 0.0449781i
\(387\) −3.46980 + 1.28634i −0.176380 + 0.0653885i
\(388\) −8.77852 13.4039i −0.445662 0.680481i
\(389\) −22.8336 21.5424i −1.15771 1.09224i −0.994401 0.105669i \(-0.966302\pi\)
−0.163309 0.986575i \(-0.552217\pi\)
\(390\) 0.0121277 0.0185199i 0.000614108 0.000937789i
\(391\) −11.7618 5.90699i −0.594819 0.298730i
\(392\) 15.4496 12.1427i 0.780321 0.613298i
\(393\) −1.21527 + 0.571099i −0.0613023 + 0.0288081i
\(394\) −12.5995 0.378897i −0.634753 0.0190885i
\(395\) 0.0230134 0.00405789i 0.00115793 0.000204174i
\(396\) −6.16065 + 4.62487i −0.309584 + 0.232409i
\(397\) −4.22055 0.744197i −0.211823 0.0373502i 0.0667293 0.997771i \(-0.478744\pi\)
−0.278553 + 0.960421i \(0.589855\pi\)
\(398\) 34.3763 + 7.13306i 1.72313 + 0.357548i
\(399\) 1.15979 + 0.0302925i 0.0580623 + 0.00151652i
\(400\) 10.0674 17.2814i 0.503372 0.864069i
\(401\) 5.48877 + 12.7244i 0.274096 + 0.635426i 0.998546 0.0539013i \(-0.0171656\pi\)
−0.724450 + 0.689327i \(0.757906\pi\)
\(402\) 9.06610 30.5049i 0.452176 1.52145i
\(403\) 0.188352 0.286375i 0.00938247 0.0142654i
\(404\) −5.99274 + 8.01698i −0.298150 + 0.398860i
\(405\) 0.00657472 + 0.0174160i 0.000326700 + 0.000865409i
\(406\) 0.251940 0.757838i 0.0125036 0.0376109i
\(407\) 0.898711 + 0.591091i 0.0445474 + 0.0292993i
\(408\) −7.03614 + 16.3140i −0.348341 + 0.807661i
\(409\) −9.18073 21.2833i −0.453958 1.05239i −0.979467 0.201604i \(-0.935384\pi\)
0.525509 0.850788i \(-0.323875\pi\)
\(410\) −0.0182365 + 0.00848220i −0.000900638 + 0.000418906i
\(411\) 20.8693 + 12.7868i 1.02941 + 0.630727i
\(412\) −12.6087 7.31245i −0.621187 0.360258i
\(413\) −1.64207 0.289540i −0.0808008 0.0142474i
\(414\) 6.43775 13.9871i 0.316398 0.687431i
\(415\) −0.000537581 0.00304877i −2.63888e−5 0.000149658i
\(416\) 6.28073 + 23.9053i 0.307938 + 1.17206i
\(417\) −15.6028 10.8561i −0.764072 0.531627i
\(418\) 1.37785 5.12222i 0.0673927 0.250536i
\(419\) −8.25739 + 16.4418i −0.403400 + 0.803236i 0.596600 + 0.802539i \(0.296518\pi\)
−1.00000 0.000696611i \(0.999778\pi\)
\(420\) 0.00162533 0.000239780i 7.93079e−5 1.17001e-5i
\(421\) −11.8706 11.1994i −0.578539 0.545823i 0.340371 0.940291i \(-0.389447\pi\)
−0.918910 + 0.394468i \(0.870929\pi\)
\(422\) −18.4383 + 23.2724i −0.897564 + 1.13288i
\(423\) −1.37959 + 3.86175i −0.0670779 + 0.187765i
\(424\) −13.3971 + 19.0144i −0.650619 + 0.923423i
\(425\) 7.18210 16.6500i 0.348383 0.807642i
\(426\) −1.95118 5.32762i −0.0945349 0.258124i
\(427\) 0.165979 + 0.0496908i 0.00803229 + 0.00240471i
\(428\) 9.08522 9.59225i 0.439151 0.463659i
\(429\) −1.37961 + 9.61803i −0.0666082 + 0.464363i
\(430\) 0.00133546 0.00335204i 6.44017e−5 0.000161650i
\(431\) −6.89429 + 11.9413i −0.332086 + 0.575190i −0.982921 0.184030i \(-0.941086\pi\)
0.650835 + 0.759219i \(0.274419\pi\)
\(432\) −19.3545 7.57656i −0.931193 0.364527i
\(433\) −10.9055 18.8889i −0.524086 0.907744i −0.999607 0.0280395i \(-0.991074\pi\)
0.475521 0.879705i \(-0.342260\pi\)
\(434\) 0.0251731 0.00366226i 0.00120835 0.000175794i
\(435\) −0.00657378 + 0.00588531i −0.000315189 + 0.000282179i
\(436\) −3.97011 13.3558i −0.190134 0.639627i
\(437\) 2.44503 + 10.3164i 0.116962 + 0.493500i
\(438\) −0.0369276 18.4514i −0.00176447 0.881643i
\(439\) −11.5265 15.4828i −0.550130 0.738952i 0.436897 0.899512i \(-0.356078\pi\)
−0.987026 + 0.160559i \(0.948670\pi\)
\(440\) 0.000676527 0.00748078i 3.22522e−5 0.000356632i
\(441\) 15.2450 + 14.2124i 0.725951 + 0.676779i
\(442\) 8.25335 + 20.8341i 0.392572 + 0.990976i
\(443\) −5.65289 + 23.8514i −0.268577 + 1.13322i 0.656769 + 0.754092i \(0.271923\pi\)
−0.925346 + 0.379123i \(0.876226\pi\)
\(444\) −0.0814327 + 2.90112i −0.00386462 + 0.137681i
\(445\) −0.00559585 0.00850808i −0.000265269 0.000403322i
\(446\) 17.7720 4.74344i 0.841529 0.224608i
\(447\) −12.7016 + 27.4517i −0.600767 + 1.29842i
\(448\) −1.01693 + 1.52664i −0.0480453 + 0.0721272i
\(449\) 10.1109 8.48405i 0.477163 0.400387i −0.372236 0.928138i \(-0.621409\pi\)
0.849399 + 0.527751i \(0.176965\pi\)
\(450\) 19.7532 + 7.73382i 0.931173 + 0.364576i
\(451\) 5.67438 6.76246i 0.267196 0.318432i
\(452\) 0.0344627 17.6817i 0.00162099 0.831675i
\(453\) 1.89528 + 0.385466i 0.0890479 + 0.0181108i
\(454\) 1.34566 15.2103i 0.0631552 0.713854i
\(455\) 0.00123746 0.00166219i 5.80128e−5 7.79247e-5i
\(456\) 13.7101 4.10530i 0.642032 0.192248i
\(457\) −10.0179 + 5.03116i −0.468616 + 0.235348i −0.667406 0.744694i \(-0.732595\pi\)
0.198790 + 0.980042i \(0.436299\pi\)
\(458\) −8.45627 + 1.73749i −0.395135 + 0.0811875i
\(459\) −18.2450 4.71458i −0.851606 0.220058i
\(460\) 0.00591967 + 0.0137972i 0.000276006 + 0.000643299i
\(461\) −18.4750 1.07605i −0.860468 0.0501166i −0.377766 0.925901i \(-0.623308\pi\)
−0.482702 + 0.875785i \(0.660345\pi\)
\(462\) −0.601679 + 0.397458i −0.0279927 + 0.0184914i
\(463\) −40.3999 4.72207i −1.87754 0.219453i −0.900856 0.434119i \(-0.857060\pi\)
−0.976688 + 0.214666i \(0.931134\pi\)
\(464\) 0.0384018 9.85128i 0.00178276 0.457334i
\(465\) −0.000261497 0 0.000102986i −1.21267e−5 0 4.77588e-6i
\(466\) 11.5486 12.9516i 0.534979 0.599972i
\(467\) 6.78978 + 18.6548i 0.314194 + 0.863240i 0.991798 + 0.127814i \(0.0407959\pi\)
−0.677604 + 0.735427i \(0.736982\pi\)
\(468\) −24.0302 + 10.4799i −1.11079 + 0.484433i
\(469\) 1.01886 2.79930i 0.0470466 0.129260i
\(470\) −0.00189426 0.00352133i −8.73756e−5 0.000162427i
\(471\) −10.3759 38.2676i −0.478098 1.76328i
\(472\) −20.3596 + 2.92147i −0.937127 + 0.134472i
\(473\) 0.0920856 + 1.58105i 0.00423410 + 0.0726967i
\(474\) −25.4324 10.9101i −1.16815 0.501120i
\(475\) −13.9930 + 4.18922i −0.642041 + 0.192215i
\(476\) −0.749292 + 1.48474i −0.0343437 + 0.0680530i
\(477\) −22.1123 10.9409i −1.01245 0.500950i
\(478\) −18.5644 + 34.3497i −0.849118 + 1.57112i
\(479\) −25.9946 + 3.03834i −1.18772 + 0.138825i −0.686919 0.726734i \(-0.741037\pi\)
−0.500806 + 0.865559i \(0.666963\pi\)
\(480\) 0.0181278 0.00906109i 0.000827416 0.000413580i
\(481\) 2.51210 + 2.66268i 0.114542 + 0.121408i
\(482\) 1.50011 + 17.3410i 0.0683281 + 0.789859i
\(483\) 0.680280 1.27070i 0.0309538 0.0578186i
\(484\) −6.36259 17.5877i −0.289209 0.799439i
\(485\) 0.0165708i 0.000752441i
\(486\) 4.78526 21.5198i 0.217064 0.976157i
\(487\) 4.30179 0.194933 0.0974664 0.995239i \(-0.468926\pi\)
0.0974664 + 0.995239i \(0.468926\pi\)
\(488\) 2.13649 0.0559144i 0.0967142 0.00253113i
\(489\) 22.8653 + 12.2412i 1.03400 + 0.553565i
\(490\) −0.0202468 + 0.00175149i −0.000914658 + 7.91241e-5i
\(491\) 4.19086 3.95387i 0.189131 0.178436i −0.585852 0.810418i \(-0.699240\pi\)
0.774983 + 0.631982i \(0.217759\pi\)
\(492\) 23.5702 + 3.42781i 1.06263 + 0.154537i
\(493\) −1.03691 8.87132i −0.0467000 0.399544i
\(494\) 8.58264 15.8804i 0.386151 0.714495i
\(495\) 0.00795057 0.000510565i 0.000357351 2.29482e-5i
\(496\) 0.280961 0.139735i 0.0126155 0.00627429i
\(497\) −0.152322 0.508790i −0.00683256 0.0228223i
\(498\) −1.44535 + 3.36923i −0.0647679 + 0.150979i
\(499\) 16.9921 0.989676i 0.760670 0.0443040i 0.326575 0.945171i \(-0.394105\pi\)
0.434095 + 0.900867i \(0.357068\pi\)
\(500\) −0.0370041 + 0.0184939i −0.00165487 + 0.000827074i
\(501\) 38.5691 10.4577i 1.72314 0.467214i
\(502\) −3.28468 6.10605i −0.146602 0.272526i
\(503\) 14.0191 + 5.10252i 0.625079 + 0.227510i 0.635088 0.772440i \(-0.280964\pi\)
−0.0100092 + 0.999950i \(0.503186\pi\)
\(504\) −1.76580 0.816905i −0.0786550 0.0363879i
\(505\) 0.00972733 0.00354046i 0.000432861 0.000157548i
\(506\) −4.91838 4.38559i −0.218649 0.194963i
\(507\) −3.86591 + 9.81610i −0.171691 + 0.435948i
\(508\) −32.2871 + 23.9392i −1.43251 + 1.06213i
\(509\) −2.70706 + 23.1603i −0.119988 + 1.02656i 0.790338 + 0.612672i \(0.209905\pi\)
−0.910326 + 0.413892i \(0.864169\pi\)
\(510\) 0.0153313 0.0101276i 0.000678881 0.000448456i
\(511\) 0.100428 1.72428i 0.00444267 0.0762778i
\(512\) −6.04788 + 21.8042i −0.267281 + 0.963619i
\(513\) 6.53776 + 13.6996i 0.288649 + 0.604852i
\(514\) −3.84807 18.7284i −0.169731 0.826073i
\(515\) 0.00676533 + 0.0134709i 0.000298116 + 0.000593598i
\(516\) −3.49776 + 2.45451i −0.153980 + 0.108054i
\(517\) 1.40773 + 1.04802i 0.0619119 + 0.0460917i
\(518\) −0.0239418 + 0.270618i −0.00105194 + 0.0118903i
\(519\) −5.80973 + 28.5656i −0.255019 + 1.25389i
\(520\) 0.00811133 0.0242410i 0.000355705 0.00106304i
\(521\) 20.6545 + 17.3312i 0.904890 + 0.759293i 0.971140 0.238510i \(-0.0766591\pi\)
−0.0662501 + 0.997803i \(0.521104\pi\)
\(522\) 10.3309 1.56582i 0.452173 0.0685342i
\(523\) 16.1384 + 19.2329i 0.705681 + 0.840998i 0.993157 0.116790i \(-0.0372604\pi\)
−0.287475 + 0.957788i \(0.592816\pi\)
\(524\) −1.18969 + 0.994324i −0.0519719 + 0.0434373i
\(525\) 1.80217 + 0.833844i 0.0786530 + 0.0363919i
\(526\) 34.9151 9.31901i 1.52237 0.406328i
\(527\) 0.237695 0.156334i 0.0103541 0.00681003i
\(528\) −5.52353 + 6.97242i −0.240381 + 0.303436i
\(529\) −9.56369 2.26664i −0.415812 0.0985494i
\(530\) 0.0223647 0.00885971i 0.000971462 0.000384841i
\(531\) −6.38112 20.8617i −0.276917 0.905321i
\(532\) 1.30416 0.306408i 0.0565425 0.0132845i
\(533\) 24.0975 17.9400i 1.04378 0.777066i
\(534\) 0.0241352 + 12.0595i 0.00104443 + 0.521866i
\(535\) −0.0132954 + 0.00315108i −0.000574812 + 0.000136233i
\(536\) 1.17615 36.7280i 0.0508021 1.58641i
\(537\) −8.06935 9.01330i −0.348218 0.388953i
\(538\) 0.776004 + 5.33398i 0.0334559 + 0.229964i
\(539\) 7.72481 4.45992i 0.332731 0.192103i
\(540\) 0.0124519 + 0.0175217i 0.000535846 + 0.000754012i
\(541\) 8.32640 + 4.80725i 0.357980 + 0.206680i 0.668194 0.743987i \(-0.267067\pi\)
−0.310214 + 0.950667i \(0.600401\pi\)
\(542\) −4.82900 + 12.1209i −0.207423 + 0.520637i
\(543\) 16.6188 + 2.38381i 0.713182 + 0.102299i
\(544\) −3.07217 + 20.2838i −0.131718 + 0.869660i
\(545\) −0.00413283 + 0.0138046i −0.000177031 + 0.000591325i
\(546\) −2.30434 + 0.843939i −0.0986168 + 0.0361173i
\(547\) 36.4003 + 15.7015i 1.55636 + 0.671350i 0.988423 0.151720i \(-0.0484812\pi\)
0.567940 + 0.823070i \(0.307741\pi\)
\(548\) 27.0583 + 8.15823i 1.15587 + 0.348502i
\(549\) 0.406916 + 2.23004i 0.0173668 + 0.0951758i
\(550\) 5.63780 7.11589i 0.240397 0.303423i
\(551\) −4.93733 + 5.23327i −0.210337 + 0.222945i
\(552\) 3.08647 17.5096i 0.131369 0.745259i
\(553\) −2.31494 1.16261i −0.0984415 0.0494392i
\(554\) 27.0505 + 7.27642i 1.14927 + 0.309146i
\(555\) 0.00171429 0.00246383i 7.27674e−5 0.000104584i
\(556\) −20.6102 7.54701i −0.874066 0.320065i
\(557\) 16.9429 2.98750i 0.717895 0.126584i 0.197245 0.980354i \(-0.436801\pi\)
0.520650 + 0.853770i \(0.325690\pi\)
\(558\) 0.192256 + 0.271681i 0.00813883 + 0.0115012i
\(559\) −0.935905 + 5.30778i −0.0395846 + 0.224495i
\(560\) 0.00174485 0.000744599i 7.37332e−5 3.14650e-5i
\(561\) −4.21338 + 6.87665i −0.177889 + 0.290332i
\(562\) 13.7048 + 29.4649i 0.578100 + 1.24290i
\(563\) −41.9930 + 18.1140i −1.76979 + 0.763415i −0.779168 + 0.626815i \(0.784358\pi\)
−0.990626 + 0.136600i \(0.956383\pi\)
\(564\) −0.407853 + 4.71757i −0.0171737 + 0.198646i
\(565\) −0.0100486 + 0.0152782i −0.000422748 + 0.000642757i
\(566\) 2.06861 6.22240i 0.0869502 0.261547i
\(567\) 0.568281 1.98384i 0.0238656 0.0833134i
\(568\) −3.74202 5.37755i −0.157012 0.225637i
\(569\) 30.0641 + 19.7734i 1.26035 + 0.828946i 0.990969 0.134088i \(-0.0428104\pi\)
0.269382 + 0.963034i \(0.413181\pi\)
\(570\) −0.0141877 0.00421660i −0.000594257 0.000176614i
\(571\) 24.8147 10.7040i 1.03846 0.447950i 0.192560 0.981285i \(-0.438321\pi\)
0.845904 + 0.533335i \(0.179062\pi\)
\(572\) 1.28080 + 11.1463i 0.0535528 + 0.466049i
\(573\) −0.0940273 + 3.59997i −0.00392805 + 0.150391i
\(574\) 2.18307 + 0.452986i 0.0911195 + 0.0189073i
\(575\) −3.15105 + 17.8705i −0.131408 + 0.745251i
\(576\) −23.8380 2.78374i −0.993250 0.115989i
\(577\) −0.416782 2.36369i −0.0173509 0.0984016i 0.974903 0.222632i \(-0.0714649\pi\)
−0.992253 + 0.124231i \(0.960354\pi\)
\(578\) 0.163569 5.43918i 0.00680359 0.226240i
\(579\) 16.3749 + 34.8451i 0.680519 + 1.44811i
\(580\) −0.00561516 + 0.00850129i −0.000233157 + 0.000352997i
\(581\) −0.154020 + 0.306679i −0.00638983 + 0.0127232i
\(582\) 10.7506 16.4169i 0.445626 0.680504i
\(583\) −7.24563 + 7.67992i −0.300083 + 0.318070i
\(584\) −5.45418 20.5960i −0.225696 0.852267i
\(585\) 0.0267283 + 0.00454907i 0.00110508 + 0.000188081i
\(586\) 0.843583 + 29.9976i 0.0348481 + 1.23919i
\(587\) −28.6743 12.3689i −1.18352 0.510519i −0.288902 0.957359i \(-0.593290\pi\)
−0.894614 + 0.446840i \(0.852549\pi\)
\(588\) 21.1952 + 11.4003i 0.874074 + 0.470139i
\(589\) −0.219544 0.0657270i −0.00904614 0.00270824i
\(590\) 0.0192699 + 0.00900859i 0.000793331 + 0.000370878i
\(591\) −5.74252 14.3304i −0.236216 0.589472i
\(592\) 0.760133 + 3.26390i 0.0312413 + 0.134145i
\(593\) 0.637325 1.10388i 0.0261718 0.0453309i −0.852643 0.522494i \(-0.825002\pi\)
0.878815 + 0.477163i \(0.158335\pi\)
\(594\) −8.20799 4.65224i −0.336778 0.190884i
\(595\) 0.00148955 0.000859992i 6.10656e−5 3.52562e-5i
\(596\) −6.13206 + 34.3846i −0.251179 + 1.40845i
\(597\) 8.82042 + 42.0846i 0.360996 + 1.72241i
\(598\) −12.8449 18.3825i −0.525268 0.751718i
\(599\) −6.76891 + 1.60426i −0.276570 + 0.0655484i −0.366560 0.930394i \(-0.619465\pi\)
0.0899900 + 0.995943i \(0.471316\pi\)
\(600\) 24.3294 + 2.84241i 0.993244 + 0.116041i
\(601\) 1.10240 + 1.48078i 0.0449678 + 0.0604023i 0.824038 0.566534i \(-0.191716\pi\)
−0.779071 + 0.626936i \(0.784309\pi\)
\(602\) −0.340644 + 0.209654i −0.0138836 + 0.00854487i
\(603\) 38.6847 4.75515i 1.57536 0.193645i
\(604\) 2.22975 0.125508i 0.0907273 0.00510685i
\(605\) −0.00446078 + 0.0188215i −0.000181357 + 0.000765204i
\(606\) −11.9340 2.80319i −0.484784 0.113872i
\(607\) −25.2752 + 16.6237i −1.02589 + 0.674736i −0.946698 0.322123i \(-0.895603\pi\)
−0.0791892 + 0.996860i \(0.525233\pi\)
\(608\) 14.1072 8.60686i 0.572124 0.349054i
\(609\) 0.974125 0.0881467i 0.0394735 0.00357188i
\(610\) −0.00188011 0.00116220i −7.61234e−5 4.70561e-5i
\(611\) 3.83908 + 4.57523i 0.155312 + 0.185094i
\(612\) −21.7594 + 0.0870962i −0.879571 + 0.00352066i
\(613\) 11.2195 13.3709i 0.453151 0.540044i −0.490301 0.871553i \(-0.663113\pi\)
0.943452 + 0.331509i \(0.107558\pi\)
\(614\) −5.18260 + 1.71172i −0.209153 + 0.0690795i
\(615\) −0.0184500 0.0163210i −0.000743976 0.000658126i
\(616\) −0.555365 + 0.620396i −0.0223763 + 0.0249965i
\(617\) −19.4142 + 26.0777i −0.781585 + 1.04985i 0.215718 + 0.976456i \(0.430791\pi\)
−0.997303 + 0.0733948i \(0.976617\pi\)
\(618\) 2.03695 17.7349i 0.0819380 0.713404i
\(619\) −5.89913 11.7461i −0.237106 0.472117i 0.743338 0.668916i \(-0.233241\pi\)
−0.980444 + 0.196800i \(0.936945\pi\)
\(620\) −0.000322256 0 3.83032e-5i −1.29421e−5 0 1.53829e-6i
\(621\) 18.8543 + 0.380176i 0.756595 + 0.0152559i
\(622\) 10.7910 9.58436i 0.432680 0.384298i
\(623\) −0.0656378 + 1.12696i −0.00262972 + 0.0451506i
\(624\) −23.7628 + 18.7536i −0.951274 + 0.750745i
\(625\) −24.8309 2.90232i −0.993236 0.116093i
\(626\) −16.8217 + 23.9742i −0.672331 + 0.958200i
\(627\) 6.42499 0.960662i 0.256589 0.0383651i
\(628\) −22.8142 39.6939i −0.910387 1.58396i
\(629\) 1.03919 + 2.85516i 0.0414354 + 0.113843i
\(630\) 0.00106485 + 0.00170730i 4.24245e−5 + 6.80205e-5i
\(631\) 18.4187 + 6.70386i 0.733237 + 0.266877i 0.681535 0.731786i \(-0.261313\pi\)
0.0517029 + 0.998663i \(0.483535\pi\)
\(632\) −31.6039 4.72370i −1.25713 0.187899i
\(633\) −35.1531 9.30722i −1.39721 0.369929i
\(634\) 22.4206 22.3770i 0.890437 0.888704i
\(635\) 0.0414983 0.00241700i 0.00164681 9.59159e-5i
\(636\) −27.9050 5.73205i −1.10651 0.227291i
\(637\) 29.0803 8.70607i 1.15220 0.344947i
\(638\) 0.652421 4.42397i 0.0258296 0.175147i
\(639\) 5.02591 4.79856i 0.198822 0.189828i
\(640\) 0.0175872 0.0154375i 0.000695193 0.000610222i
\(641\) 35.7634 4.18014i 1.41257 0.165106i 0.624660 0.780897i \(-0.285238\pi\)
0.787909 + 0.615791i \(0.211164\pi\)
\(642\) 15.2163 + 5.50383i 0.600541 + 0.217219i
\(643\) −16.8245 + 15.8731i −0.663493 + 0.625973i −0.942457 0.334328i \(-0.891491\pi\)
0.278964 + 0.960302i \(0.410009\pi\)
\(644\) 0.386972 1.61870i 0.0152488 0.0637856i
\(645\) 0.00441694 0.000141676i 0.000173917 5.57850e-6i
\(646\) 11.7618 9.28141i 0.462762 0.365172i
\(647\) −30.1776 −1.18641 −0.593203 0.805053i \(-0.702137\pi\)
−0.593203 + 0.805053i \(0.702137\pi\)
\(648\) −0.968837 25.4374i −0.0380595 0.999275i
\(649\) −9.33649 −0.366489
\(650\) 24.2538 19.1390i 0.951312 0.750694i
\(651\) 0.0164346 + 0.0264679i 0.000644121 + 0.00103736i
\(652\) 29.1274 + 6.96330i 1.14072 + 0.272704i
\(653\) 16.3103 15.3879i 0.638270 0.602177i −0.297528 0.954713i \(-0.596162\pi\)
0.935798 + 0.352536i \(0.114681\pi\)
\(654\) 13.0504 10.9952i 0.510313 0.429947i
\(655\) 0.00159269 0.000186159i 6.22316e−5 7.27383e-6i
\(656\) 27.3291 3.08637i 1.06702 0.120503i
\(657\) 20.6965 9.07408i 0.807448 0.354014i
\(658\) −0.0646684 + 0.438507i −0.00252104 + 0.0170948i
\(659\) 25.6687 7.68469i 0.999909 0.299353i 0.255306 0.966860i \(-0.417824\pi\)
0.744603 + 0.667507i \(0.232639\pi\)
\(660\) 0.00872952 0.00290260i 0.000339796 0.000112983i
\(661\) −33.6154 + 1.95787i −1.30749 + 0.0761525i −0.697687 0.716403i \(-0.745787\pi\)
−0.609800 + 0.792555i \(0.708750\pi\)
\(662\) −18.1093 + 18.0740i −0.703837 + 0.702467i
\(663\) −19.3492 + 19.4647i −0.751460 + 0.755946i
\(664\) −0.625787 + 4.18682i −0.0242852 + 0.162480i
\(665\) −0.00130194 0.000473867i −5.04871e−5 1.83758e-5i
\(666\) −3.29682 + 1.32878i −0.127749 + 0.0514892i
\(667\) 3.05706 + 8.39919i 0.118370 + 0.325218i
\(668\) 40.0066 22.9940i 1.54790 0.889663i
\(669\) 14.0253 + 17.6298i 0.542248 + 0.681606i
\(670\) −0.0218284 + 0.0311096i −0.000843304 + 0.00120187i
\(671\) 0.963586 + 0.112627i 0.0371988 + 0.00434792i
\(672\) −2.21172 0.394313i −0.0853189 0.0152109i
\(673\) −2.88362 + 49.5098i −0.111155 + 1.90846i 0.237786 + 0.971318i \(0.423578\pi\)
−0.348941 + 0.937145i \(0.613459\pi\)
\(674\) −5.23150 + 4.64651i −0.201510 + 0.178977i
\(675\) 0.987457 + 25.9620i 0.0380072 + 0.999277i
\(676\) −1.43783 + 12.0969i −0.0553010 + 0.465264i
\(677\) 11.6883 + 23.2732i 0.449216 + 0.894463i 0.998277 + 0.0586803i \(0.0186893\pi\)
−0.549061 + 0.835782i \(0.685014\pi\)
\(678\) 19.8673 8.61711i 0.762998 0.330938i
\(679\) 1.09694 1.47345i 0.0420969 0.0565459i
\(680\) 0.0141511 0.0158082i 0.000542672 0.000606217i
\(681\) 17.7347 5.93525i 0.679593 0.227439i
\(682\) 0.135253 0.0446717i 0.00517910 0.00171057i
\(683\) 15.2250 18.1445i 0.582569 0.694278i −0.391591 0.920139i \(-0.628075\pi\)
0.974159 + 0.225861i \(0.0725196\pi\)
\(684\) 11.3204 + 13.3820i 0.432846 + 0.511672i
\(685\) −0.0187875 0.0223901i −0.000717833 0.000855480i
\(686\) 3.84703 + 2.37806i 0.146880 + 0.0907948i
\(687\) −6.09024 8.64291i −0.232357 0.329748i
\(688\) −3.18628 + 3.76734i −0.121476 + 0.143629i
\(689\) −30.0207 + 19.7449i −1.14370 + 0.752221i
\(690\) −0.0125916 + 0.0134000i −0.000479355 + 0.000510128i
\(691\) 4.56566 19.2640i 0.173686 0.732838i −0.814575 0.580059i \(-0.803030\pi\)
0.988260 0.152779i \(-0.0488223\pi\)
\(692\) 1.89165 + 33.6067i 0.0719099 + 1.27754i
\(693\) −0.740752 0.480909i −0.0281388 0.0182682i
\(694\) −24.4340 + 15.0383i −0.927501 + 0.570844i
\(695\) 0.0135551 + 0.0182076i 0.000514173 + 0.000690654i
\(696\) 11.0784 4.77944i 0.419925 0.181164i
\(697\) 24.2633 5.75050i 0.919036 0.217816i
\(698\) −20.1120 28.7826i −0.761252 1.08944i
\(699\) 20.1937 + 6.62482i 0.763794 + 0.250574i
\(700\) 2.25730 + 0.402561i 0.0853180 + 0.0152154i
\(701\) 30.8748 17.8256i 1.16613 0.673263i 0.213362 0.976973i \(-0.431559\pi\)
0.952765 + 0.303710i \(0.0982254\pi\)
\(702\) −23.5289 21.8473i −0.888041 0.824574i
\(703\) 1.22376 2.11961i 0.0461549 0.0799427i
\(704\) −4.12331 + 9.40728i −0.155403 + 0.354550i
\(705\) 0.00302593 0.00385041i 0.000113963 0.000145015i
\(706\) 17.6123 + 8.23367i 0.662849 + 0.309878i
\(707\) −1.09931 0.329112i −0.0413438 0.0123775i
\(708\) −13.2466 21.4267i −0.497836 0.805263i
\(709\) 29.3117 + 12.6439i 1.10083 + 0.474850i 0.867444 0.497535i \(-0.165762\pi\)
0.233382 + 0.972385i \(0.425021\pi\)
\(710\) 0.000190463 0.00677281i 7.14795e−6 0.000254179i
\(711\) −0.201723 33.8927i −0.00756521 1.27108i
\(712\) 3.56475 + 13.4611i 0.133595 + 0.504477i
\(713\) −0.195377 + 0.207087i −0.00731692 + 0.00775548i
\(714\) −2.03366 0.114364i −0.0761077 0.00427995i
\(715\) 0.00520759 0.0103692i 0.000194753 0.000387785i
\(716\) −11.6561 7.69894i −0.435609 0.287723i
\(717\) −47.6509 4.02606i −1.77955 0.150356i
\(718\) −1.47333 + 48.9926i −0.0549840 + 1.82839i
\(719\) 8.19682 + 46.4865i 0.305690 + 1.73365i 0.620239 + 0.784413i \(0.287035\pi\)
−0.314550 + 0.949241i \(0.601853\pi\)
\(720\) 0.0190467 + 0.0159155i 0.000709827 + 0.000593136i
\(721\) 0.290174 1.64566i 0.0108067 0.0612876i
\(722\) 14.4923 + 3.00714i 0.539347 + 0.111914i
\(723\) −18.7336 + 10.1731i −0.696709 + 0.378342i
\(724\) 19.2595 2.21307i 0.715772 0.0822479i
\(725\) −11.3071 + 4.87740i −0.419934 + 0.181142i
\(726\) 16.6302 15.7528i 0.617203 0.584641i
\(727\) −19.7183 12.9689i −0.731310 0.480990i 0.128432 0.991718i \(-0.459005\pi\)
−0.859742 + 0.510728i \(0.829376\pi\)
\(728\) −2.32594 + 1.61853i −0.0862052 + 0.0599867i
\(729\) 26.5019 5.16250i 0.981550 0.191204i
\(730\) −0.00695128 + 0.0209095i −0.000257278 + 0.000773895i
\(731\) −2.45822 + 3.73754i −0.0909206 + 0.138238i
\(732\) 1.10866 + 2.37116i 0.0409772 + 0.0876408i
\(733\) 42.2393 18.2202i 1.56014 0.672980i 0.571137 0.820855i \(-0.306503\pi\)
0.989006 + 0.147875i \(0.0472433\pi\)
\(734\) 2.68065 + 5.76333i 0.0989447 + 0.212728i
\(735\) −0.0118779 0.0218728i −0.000438121 0.000806790i
\(736\) −1.68964 20.4604i −0.0622809 0.754182i
\(737\) 2.89653 16.4270i 0.106695 0.605098i
\(738\) 7.69020 + 28.1392i 0.283080 + 1.03582i
\(739\) 21.6441 3.81643i 0.796190 0.140390i 0.239267 0.970954i \(-0.423093\pi\)
0.556923 + 0.830564i \(0.311982\pi\)
\(740\) 0.00119175 0.00325454i 4.38094e−5 0.000119639i
\(741\) 22.0298 + 1.86131i 0.809284 + 0.0683770i
\(742\) −2.57513 0.692695i −0.0945361 0.0254296i
\(743\) −18.4134 9.24757i −0.675523 0.339261i 0.0777456 0.996973i \(-0.475228\pi\)
−0.753269 + 0.657713i \(0.771524\pi\)
\(744\) 0.294414 + 0.247017i 0.0107938 + 0.00905608i
\(745\) 0.0247883 0.0262741i 0.000908174 0.000962608i
\(746\) 19.4814 24.5889i 0.713264 0.900265i
\(747\) −4.49004 + 0.0267239i −0.164282 + 0.000977775i
\(748\) −2.68821 + 8.91598i −0.0982909 + 0.326000i
\(749\) 1.39081 + 0.599935i 0.0508190 + 0.0219212i
\(750\) −0.0388771 0.0324894i −0.00141959 0.00118635i
\(751\) −6.68138 + 22.3173i −0.243807 + 0.814372i 0.745243 + 0.666793i \(0.232333\pi\)
−0.989050 + 0.147579i \(0.952852\pi\)
\(752\) 0.928459 + 5.38830i 0.0338574 + 0.196491i
\(753\) 5.24703 6.67669i 0.191212 0.243312i
\(754\) 5.63246 14.1376i 0.205122 0.514860i
\(755\) −0.00200023 0.00115484i −7.27960e−5 4.20288e-5i
\(756\) 0.0526816 2.38229i 0.00191601 0.0866430i
\(757\) −10.1836 + 5.87948i −0.370128 + 0.213693i −0.673514 0.739174i \(-0.735216\pi\)
0.303387 + 0.952868i \(0.401883\pi\)
\(758\) 2.43280 + 16.7222i 0.0883632 + 0.607378i
\(759\) 2.51578 7.66855i 0.0913170 0.278351i
\(760\) −0.0170820 0.000547023i −0.000619629 1.98426e-5i
\(761\) −30.1998 + 7.15748i −1.09474 + 0.259459i −0.738038 0.674759i \(-0.764248\pi\)
−0.356704 + 0.934218i \(0.616099\pi\)
\(762\) −42.6812 24.5282i −1.54618 0.888564i
\(763\) 1.28132 0.953904i 0.0463868 0.0345337i
\(764\) 0.951084 + 4.04808i 0.0344090 + 0.146455i
\(765\) 0.0188750 + 0.0122540i 0.000682426 + 0.000443043i
\(766\) 2.26782 0.898389i 0.0819396 0.0324601i
\(767\) −30.9170 7.32747i −1.11635 0.264580i
\(768\) −27.4393 + 3.88425i −0.990129 + 0.140161i
\(769\) 37.7140 24.8049i 1.36000 0.894487i 0.360730 0.932670i \(-0.382528\pi\)
0.999271 + 0.0381837i \(0.0121572\pi\)
\(770\) 0.000832015 0 0.000222069i 2.99837e−5 0 8.00281e-6i
\(771\) 19.1417 13.4883i 0.689373 0.485768i