Properties

Label 648.2.bd.a.229.76
Level $648$
Weight $2$
Character 648.229
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 229.76
Character \(\chi\) \(=\) 648.229
Dual form 648.2.bd.a.133.76

$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{22}{27}\right)\)

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 0.686578 0.727056i \(-0.259112\pi\)
−0.685905 + 0.727691i \(0.740594\pi\)
\(6\) −2.41142 0.430176i −0.984458 0.175619i
\(7\) −0.227742 0.0266192i −0.0860782 0.0100611i 0.0729448 0.997336i \(-0.476760\pi\)
−0.159023 + 0.987275i \(0.550834\pi\)
\(8\) −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 0.0959547 0.995386i \(-0.469410\pi\)
−0.466804 + 0.884361i \(0.654595\pi\)
\(12\) −2.59013 + 2.30026i −0.747707 + 0.664028i
\(13\) −4.36193 0.254054i −1.20978 0.0704618i −0.558635 0.829413i \(-0.688675\pi\)
−0.651147 + 0.758951i \(0.725712\pi\)
\(14\) −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 −0.720435 0.693522i \(-0.756058\pi\)
−0.106098 + 0.994356i \(0.533836\pi\)
\(18\) 1.31444 + 4.03389i 0.309816 + 0.950796i
\(19\) 0.999151 2.74515i 0.229221 0.629779i −0.770752 0.637135i \(-0.780119\pi\)
0.999973 + 0.00735584i \(0.00234146\pi\)
\(20\) 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 0.268354 0.963320i \(-0.413520\pi\)
0.483278 + 0.875467i \(0.339446\pi\)
\(24\) 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 −0.767329 0.641254i \(-0.778415\pi\)
0.972582 + 0.232562i \(0.0747109\pi\)
\(30\) −0.00301740 0.00407005i −0.000550899 0.000743085i
\(31\) −0.0468457 0.0629248i −0.00841374 0.0113016i 0.797896 0.602795i \(-0.205946\pi\)
−0.806310 + 0.591493i \(0.798539\pi\)
\(32\) −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 −0.808493 0.588506i \(-0.799716\pi\)
0.719958 + 0.694017i \(0.244161\pi\)
\(38\) −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 0.0150148 0.999887i \(-0.495220\pi\)
−0.912166 + 0.409822i \(0.865591\pi\)
\(42\) 0.537730 + 0.162159i 0.0829735 + 0.0250217i
\(43\) 0.284470 + 1.20027i 0.0433813 + 0.183040i 0.990422 0.138074i \(-0.0440910\pi\)
−0.947041 + 0.321114i \(0.895943\pi\)
\(44\) −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 −0.857660 0.514217i \(-0.828082\pi\)
0.738594 + 0.674150i \(0.235490\pi\)
\(48\) 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 0.901747 0.432264i \(-0.142285\pi\)
0.0765221 + 0.997068i \(0.475618\pi\)
\(54\) 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 0.200841 0.979624i \(-0.435632\pi\)
0.706112 + 0.708100i \(0.250447\pi\)
\(60\) −0.00716194 0.000215751i −0.000924602 2.78534e-5i
\(61\) −0.693823 + 0.299286i −0.0888349 + 0.0383196i −0.440034 0.897981i \(-0.645033\pi\)
0.351199 + 0.936301i \(0.385774\pi\)
\(62\) −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 −0.899882 0.436134i \(-0.856347\pi\)
0.187539 0.982257i \(-0.439949\pi\)
\(68\) 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 −0.951594 0.307357i \(-0.900555\pi\)
0.999328 + 0.0366430i \(0.0116664\pi\)
\(72\) 7.23542 4.43268i 0.852702 0.522397i
\(73\) −1.30805 7.41834i −0.153096 0.868250i −0.960506 0.278260i \(-0.910242\pi\)
0.807410 0.589991i \(-0.200869\pi\)
\(74\) 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 0.106740 0.994287i \(-0.465959\pi\)
0.955248 + 0.295807i \(0.0955884\pi\)
\(80\) −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 0.877802 0.479023i \(-0.159009\pi\)
−0.787526 + 0.616281i \(0.788639\pi\)
\(84\) 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 0.996001 + 0.0893367i \(0.0284747\pi\)
−0.905380 + 0.424602i \(0.860414\pi\)
\(90\) −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 0.385391 0.922753i \(-0.374067\pi\)
−0.943601 + 0.331086i \(0.892585\pi\)
\(98\) −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 −0.154980 0.987918i \(-0.549531\pi\)
0.612232 + 0.790678i \(0.290272\pi\)
\(102\) 8.75142 1.52506i 0.866519 0.151003i
\(103\) −2.09018 6.98169i −0.205952 0.687927i −0.997086 0.0762842i \(-0.975694\pi\)
0.791134 0.611642i \(-0.209491\pi\)
\(104\) 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 −0.750355 0.661035i \(-0.770117\pi\)
0.197296 + 0.980344i \(0.436784\pi\)
\(108\) −1.43438 10.2928i −0.138024 0.990429i
\(109\) −6.03333 3.48334i −0.577888 0.333644i 0.182405 0.983223i \(-0.441612\pi\)
−0.760294 + 0.649579i \(0.774945\pi\)
\(110\) −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 −0.194899 0.980823i \(-0.562438\pi\)
−0.614360 + 0.789025i \(0.710586\pi\)
\(114\) −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 0.392050 0.919944i \(-0.371766\pi\)
0.974047 0.226347i \(-0.0726783\pi\)
\(128\) 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 −0.569651 0.821887i \(-0.692921\pi\)
0.623981 + 0.781439i \(0.285514\pi\)
\(132\) 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 0.831011 + 0.556257i \(0.187763\pi\)
−0.760814 + 0.648970i \(0.775200\pi\)
\(138\) −8.87369 0.534655i −0.755379 0.0455129i
\(139\) −1.27403 10.9000i −0.108062 0.924530i −0.933141 0.359512i \(-0.882943\pi\)
0.825079 0.565018i \(-0.191131\pi\)
\(140\) −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 0.754756 0.656006i \(-0.227755\pi\)
0.673495 + 0.739192i \(0.264792\pi\)
\(150\) −1.44618 + 12.1618i −0.118080 + 0.993003i
\(151\) −0.320256 + 1.06973i −0.0260621 + 0.0870534i −0.970031 0.242980i \(-0.921875\pi\)
0.943969 + 0.330034i \(0.107060\pi\)
\(152\) −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 −0.943668 0.330895i \(-0.892650\pi\)
−0.385204 0.922831i \(-0.625869\pi\)
\(158\) 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 \(0.199467\pi\)
−0.810000 + 0.586430i \(0.800533\pi\)
\(164\) −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 −0.284769 + 0.958596i \(0.591917\pi\)
−0.940416 + 0.340025i \(0.889565\pi\)
\(168\) 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 0.833327 0.552780i \(-0.186433\pi\)
0.392477 + 0.919762i \(0.371618\pi\)
\(174\) −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 0.817839 0.575448i \(-0.195172\pi\)
−0.996391 + 0.0848779i \(0.972950\pi\)
\(180\) 0.00552537 + 0.0111126i 0.000411837 + 0.000828285i
\(181\) −3.31523 + 9.10853i −0.246419 + 0.677032i 0.753391 + 0.657572i \(0.228417\pi\)
−0.999811 + 0.0194591i \(0.993806\pi\)
\(182\) 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 0.514748 0.857342i \(-0.327886\pi\)
−0.380308 + 0.924860i \(0.624182\pi\)
\(192\) 5.07887 12.8921i 0.366536 0.930404i
\(193\) 13.2739 + 17.8300i 0.955479 + 1.28343i 0.958991 + 0.283437i \(0.0914746\pi\)
−0.00351223 + 0.999994i \(0.501118\pi\)
\(194\) −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 0.522305 0.852759i \(-0.325072\pi\)
−0.930501 + 0.366290i \(0.880628\pi\)
\(198\) −0.131327 5.44557i −0.00933300 0.387000i
\(199\) 19.0174 + 15.9575i 1.34811 + 1.13120i 0.979462 + 0.201627i \(0.0646230\pi\)
0.368646 + 0.929570i \(0.379821\pi\)
\(200\) −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 −0.505895 0.862595i \(-0.668838\pi\)
0.839216 0.543798i \(-0.183014\pi\)
\(212\) 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 0.999061 + 0.0433299i \(0.0137967\pi\)
−0.654080 + 0.756425i \(0.726944\pi\)
\(224\) 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 −0.901307 0.433180i \(-0.857391\pi\)
0.380041 + 0.924970i \(0.375910\pi\)
\(228\) 3.72662 + 9.40860i 0.246801 + 0.623100i
\(229\) −2.73965 5.45509i −0.181041 0.360482i 0.784747 0.619817i \(-0.212793\pi\)
−0.965788 + 0.259334i \(0.916497\pi\)
\(230\) 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 0.831969 + 0.554822i \(0.187214\pi\)
−0.971555 + 0.236812i \(0.923897\pi\)
\(234\) −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 −0.0596665 0.998218i \(-0.519004\pi\)
0.767023 0.641619i \(-0.221737\pi\)
\(240\) 0.00291080 + 0.0140316i 0.000187891 + 0.000905738i
\(241\) 10.2829 6.76319i 0.662382 0.435656i −0.173300 0.984869i \(-0.555443\pi\)
0.835682 + 0.549213i \(0.185073\pi\)
\(242\) −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 −0.323934 0.946080i \(-0.605006\pi\)
0.0191797 + 0.999816i \(0.493895\pi\)
\(252\) −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 −0.783763 0.621060i \(-0.786702\pi\)
0.0301358 + 0.999546i \(0.490406\pi\)
\(258\) −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 0.877565 + 0.479458i \(0.159167\pi\)
−0.253477 + 0.967341i \(0.581574\pi\)
\(264\) 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 −0.395988 0.918256i \(-0.629598\pi\)
0.597239 + 0.802063i \(0.296264\pi\)
\(270\) 0.0151805 0.000763075i 0.000923855 4.64393e-5i
\(271\) 4.61296 7.98988i 0.280217 0.485351i −0.691221 0.722644i \(-0.742927\pi\)
0.971438 + 0.237293i \(0.0762601\pi\)
\(272\) 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 0.957236 0.289307i \(-0.0934247\pi\)
−0.00261424 + 0.999997i \(0.500832\pi\)
\(278\) −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 0.498979 0.866614i \(-0.333709\pi\)
0.834839 + 0.550494i \(0.185560\pi\)
\(282\) 2.44004 2.29284i 0.145302 0.136537i
\(283\) −2.54789 + 3.87388i −0.151456 + 0.230278i −0.903244 0.429127i \(-0.858821\pi\)
0.751788 + 0.659405i \(0.229192\pi\)
\(284\) −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 0.0285800 0.999592i \(-0.490901\pi\)
0.965795 + 0.259307i \(0.0834941\pi\)
\(294\) 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 0.896309 0.443430i \(-0.146239\pi\)
−0.971644 + 0.236449i \(0.924016\pi\)
\(308\) 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 0.938779 + 0.344519i \(0.111958\pi\)
−0.972428 + 0.233204i \(0.925079\pi\)
\(312\) 0.00111893 21.4052i 6.33467e−5 1.21183i
\(313\) 5.93943 19.8391i 0.335716 1.12137i −0.608915 0.793236i \(-0.708395\pi\)
0.944631 0.328135i \(-0.106420\pi\)
\(314\) −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 0.699106 + 0.715018i \(0.253581\pi\)
−0.845156 + 0.534519i \(0.820493\pi\)
\(318\) −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 −0.804045 0.594568i \(-0.797323\pi\)
0.919489 0.393116i \(-0.128603\pi\)
\(332\) 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 −0.981367 0.192145i \(-0.938456\pi\)
0.997038 0.0769156i \(-0.0245072\pi\)
\(338\) 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 −0.896278 0.443493i \(-0.853739\pi\)
0.769842 0.638235i \(-0.220335\pi\)
\(348\) 2.19966 + 8.24308i 0.117914 + 0.441876i
\(349\) −24.7867 + 1.44366i −1.32680 + 0.0772775i −0.706852 0.707362i \(-0.749885\pi\)
−0.619952 + 0.784639i \(0.712848\pi\)
\(350\) 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 0.744623 0.667485i \(-0.232629\pi\)
−0.0907471 + 0.995874i \(0.528925\pi\)
\(354\) −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 0.440722 0.897644i \(-0.354723\pi\)
0.960537 0.278152i \(-0.0897219\pi\)
\(360\) 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 −0.114879 0.993379i \(-0.536648\pi\)
0.343168 + 0.939274i \(0.388500\pi\)
\(368\) −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 0.664147 + 0.747602i \(0.268795\pi\)
−0.929027 + 0.370012i \(0.879353\pi\)
\(374\) 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 −0.210102 0.977679i \(-0.567380\pi\)
0.741644 + 0.670793i \(0.234046\pi\)
\(380\) −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 0.969698 0.244308i \(-0.0785609\pi\)
−0.944420 + 0.328741i \(0.893376\pi\)
\(384\) −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 −0.163309 + 0.986575i \(0.552217\pi\)
−0.994401 + 0.105669i \(0.966302\pi\)
\(390\) 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 −0.278553 0.960421i \(-0.589855\pi\)
0.0667293 + 0.997771i \(0.478744\pi\)
\(398\) 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 −0.724450 0.689327i \(-0.757906\pi\)
0.998546 + 0.0539013i \(0.0171656\pi\)
\(402\) 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 0.525509 + 0.850788i \(0.323875\pi\)
−0.979467 + 0.201604i \(0.935384\pi\)
\(410\) −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 −1.00000 0.000696611i \(-0.999778\pi\)
0.596600 0.802539i \(-0.296518\pi\)
\(420\) 0.00162533 0.000239780i 7.93079e−5 1.17001e-5i
\(421\) −11.8706 + 11.1994i −0.578539 + 0.545823i −0.918910 0.394468i \(-0.870929\pi\)
0.340371 + 0.940291i \(0.389447\pi\)
\(422\) −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 0.650835 0.759219i \(-0.274419\pi\)
−0.982921 + 0.184030i \(0.941086\pi\)
\(432\) −19.3545 + 7.57656i −0.931193 + 0.364527i
\(433\) −10.9055 + 18.8889i −0.524086 + 0.907744i 0.475521 + 0.879705i \(0.342260\pi\)
−0.999607 + 0.0280395i \(0.991074\pi\)
\(434\) 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 −0.987026 0.160559i \(-0.948670\pi\)
0.436897 + 0.899512i \(0.356078\pi\)
\(440\) 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 −0.925346 0.379123i \(-0.876226\pi\)
0.656769 0.754092i \(-0.271923\pi\)
\(444\) −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 0.849399 0.527751i \(-0.176965\pi\)
−0.372236 + 0.928138i \(0.621409\pi\)
\(450\) 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 0.198790 0.980042i \(-0.436299\pi\)
−0.667406 + 0.744694i \(0.732595\pi\)
\(458\) −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 −0.482702 0.875785i \(-0.660345\pi\)
−0.377766 + 0.925901i \(0.623308\pi\)
\(462\) −0.601679 0.397458i −0.0279927 0.0184914i
\(463\) −40.3999 + 4.72207i −1.87754 + 0.219453i −0.976688 0.214666i \(-0.931134\pi\)
−0.900856 + 0.434119i \(0.857060\pi\)
\(464\) 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 −0.677604 0.735427i \(-0.736982\pi\)
0.991798 0.127814i \(-0.0407959\pi\)
\(468\) −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 −0.500806 0.865559i \(-0.666963\pi\)
−0.686919 + 0.726734i \(0.741037\pi\)
\(480\) 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 0.774983 0.631982i \(-0.217759\pi\)
−0.585852 + 0.810418i \(0.699240\pi\)
\(492\) 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 0.434095 0.900867i \(-0.357068\pi\)
0.326575 + 0.945171i \(0.394105\pi\)
\(500\) −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 −0.0100092 0.999950i \(-0.503186\pi\)
0.635088 + 0.772440i \(0.280964\pi\)
\(504\) −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 −0.910326 0.413892i \(-0.864169\pi\)
0.790338 0.612672i \(-0.209905\pi\)
\(510\) 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 −0.0662501 0.997803i \(-0.521104\pi\)
0.971140 + 0.238510i \(0.0766591\pi\)
\(522\) 10.3309 + 1.56582i 0.452173 + 0.0685342i
\(523\) 16.1384 19.2329i 0.705681 0.840998i −0.287475 0.957788i \(-0.592816\pi\)
0.993157 + 0.116790i \(0.0372604\pi\)
\(524\) −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 −0.310214 0.950667i \(-0.600401\pi\)
0.668194 + 0.743987i \(0.267067\pi\)
\(542\) −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 0.567940 0.823070i \(-0.307741\pi\)
0.988423 + 0.151720i \(0.0484812\pi\)
\(548\) 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 0.520650 0.853770i \(-0.325690\pi\)
0.197245 + 0.980354i \(0.436801\pi\)
\(558\) 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 −0.990626 0.136600i \(-0.956383\pi\)
−0.779168 0.626815i \(-0.784358\pi\)
\(564\) −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 0.269382 0.963034i \(-0.413181\pi\)
0.990969 + 0.134088i \(0.0428104\pi\)
\(570\) −0.0141877 + 0.00421660i −0.000594257 + 0.000176614i
\(571\) 24.8147 + 10.7040i 1.03846 + 0.447950i 0.845904 0.533335i \(-0.179062\pi\)
0.192560 + 0.981285i \(0.438321\pi\)
\(572\) 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 −0.992253 0.124231i \(-0.960354\pi\)
0.974903 + 0.222632i \(0.0714649\pi\)
\(578\) 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 −0.894614 0.446840i \(-0.852549\pi\)
−0.288902 + 0.957359i \(0.593290\pi\)
\(588\) 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 0.878815 0.477163i \(-0.158335\pi\)
−0.852643 + 0.522494i \(0.825002\pi\)
\(594\) −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 0.0899900 0.995943i \(-0.471316\pi\)
−0.366560 + 0.930394i \(0.619465\pi\)
\(600\) 24.3294 2.84241i 0.993244 0.116041i
\(601\) 1.10240 1.48078i 0.0449678 0.0604023i −0.779071 0.626936i \(-0.784309\pi\)
0.824038 + 0.566534i \(0.191716\pi\)
\(602\) −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 −0.0791892 0.996860i \(-0.525233\pi\)
−0.946698 + 0.322123i \(0.895603\pi\)
\(608\) 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 0.943452 0.331509i \(-0.107558\pi\)
−0.490301 + 0.871553i \(0.663113\pi\)
\(614\) −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 −0.997303 0.0733948i \(-0.976617\pi\)
0.215718 0.976456i \(-0.430791\pi\)
\(618\) 2.03695 + 17.7349i 0.0819380 + 0.713404i
\(619\) −5.89913 + 11.7461i −0.237106 + 0.472117i −0.980444 0.196800i \(-0.936945\pi\)
0.743338 + 0.668916i \(0.233241\pi\)
\(620\) −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 0.0517029 0.998663i \(-0.483535\pi\)
0.681535 + 0.731786i \(0.261313\pi\)
\(632\) −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 0.787909 0.615791i \(-0.211164\pi\)
0.624660 + 0.780897i \(0.285238\pi\)
\(642\) 15.2163 5.50383i 0.600541 0.217219i
\(643\) −16.8245 15.8731i −0.663493 0.625973i 0.278964 0.960302i \(-0.410009\pi\)
−0.942457 + 0.334328i \(0.891491\pi\)
\(644\) 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 0.935798 0.352536i \(-0.114681\pi\)
−0.297528 + 0.954713i \(0.596162\pi\)
\(654\) 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 0.744603 0.667507i \(-0.232639\pi\)
0.255306 + 0.966860i \(0.417824\pi\)
\(660\) 0.00872952 + 0.00290260i 0.000339796 + 0.000112983i
\(661\) −33.6154 1.95787i −1.30749 0.0761525i −0.609800 0.792555i \(-0.708750\pi\)
−0.697687 + 0.716403i \(0.745787\pi\)
\(662\) −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 −0.348941 0.937145i \(-0.613459\pi\)
0.237786 0.971318i \(-0.423578\pi\)
\(674\) −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 −0.549061 0.835782i \(-0.685014\pi\)
0.998277 0.0586803i \(-0.0186893\pi\)
\(678\) 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 0.974159 0.225861i \(-0.0725196\pi\)
−0.391591 + 0.920139i \(0.628075\pi\)
\(684\) 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 0.988260 + 0.152779i \(0.0488223\pi\)
−0.814575 + 0.580059i \(0.803030\pi\)
\(692\) 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 0.952765 0.303710i \(-0.0982254\pi\)
0.213362 + 0.976973i \(0.431559\pi\)
\(702\) −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 0.233382 0.972385i \(-0.425021\pi\)
0.867444 + 0.497535i \(0.165762\pi\)
\(710\) 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 −0.314550 0.949241i \(-0.601853\pi\)
0.620239 0.784413i \(-0.287035\pi\)
\(720\) 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 −0.859742 0.510728i \(-0.829376\pi\)
0.128432 + 0.991718i \(0.459005\pi\)
\(728\) −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 0.989006 0.147875i \(-0.0472433\pi\)
0.571137 + 0.820855i \(0.306503\pi\)
\(734\) 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 0.556923 0.830564i \(-0.311982\pi\)
0.239267 + 0.970954i \(0.423093\pi\)
\(740\) 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 −0.753269 0.657713i \(-0.771524\pi\)
0.0777456 + 0.996973i \(0.475228\pi\)
\(744\) 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 −0.989050 0.147579i \(-0.952852\pi\)
0.745243 0.666793i \(-0.232333\pi\)
\(752\) 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 0.303387 0.952868i \(-0.401883\pi\)
−0.673514 + 0.739174i \(0.735216\pi\)
\(758\) 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 −0.356704 0.934218i \(-0.616099\pi\)
−0.738038 + 0.674759i \(0.764248\pi\)
\(762\) −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 0.999271 0.0381837i \(-0.0121572\pi\)
0.360730 + 0.932670i \(0.382528\pi\)
\(770\) 0.000832015 0 0.000222069i 2.99837e−5 0 8.00281e-6i
\(771\) 19.1417 + 13.4883i 0.689373 + 0.485768i