Properties

Label 177.2.e.b.28.2
Level $177$
Weight $2$
Character 177.28
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 28.2
Character \(\chi\) \(=\) 177.28
Dual form 177.2.e.b.19.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.715981 - 1.35048i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.188804 + 0.278465i) q^{4} +(-3.13782 - 0.690687i) q^{5} +(0.408928 - 1.47283i) q^{6} +(-2.11659 - 1.60899i) q^{7} +(-2.52792 - 0.274928i) q^{8} +(0.0541389 + 0.998533i) q^{9} +O(q^{10})\) \(q+(-0.715981 - 1.35048i) q^{2} +(0.725995 + 0.687699i) q^{3} +(-0.188804 + 0.278465i) q^{4} +(-3.13782 - 0.690687i) q^{5} +(0.408928 - 1.47283i) q^{6} +(-2.11659 - 1.60899i) q^{7} +(-2.52792 - 0.274928i) q^{8} +(0.0541389 + 0.998533i) q^{9} +(1.31386 + 4.73210i) q^{10} +(2.12945 - 5.34452i) q^{11} +(-0.328571 + 0.0723240i) q^{12} +(0.173941 - 3.20816i) q^{13} +(-0.657476 + 4.01043i) q^{14} +(-1.80306 - 2.65931i) q^{15} +(1.68771 + 4.23584i) q^{16} +(-1.99184 + 1.51416i) q^{17} +(1.30974 - 0.788045i) q^{18} +(5.97573 + 2.01346i) q^{19} +(0.784766 - 0.743370i) q^{20} +(-0.430133 - 2.62370i) q^{21} +(-8.74234 + 0.950787i) q^{22} +(0.758390 + 0.456308i) q^{23} +(-1.64619 - 1.93804i) q^{24} +(4.83101 + 2.23506i) q^{25} +(-4.45711 + 2.06208i) q^{26} +(-0.647386 + 0.762162i) q^{27} +(0.847668 - 0.285613i) q^{28} +(-1.90564 + 3.59442i) q^{29} +(-2.30041 + 4.33902i) q^{30} +(-4.32032 + 1.45569i) q^{31} +(1.21969 - 1.43593i) q^{32} +(5.22140 - 2.41568i) q^{33} +(3.47096 + 1.60584i) q^{34} +(5.53017 + 6.51062i) q^{35} +(-0.288278 - 0.173451i) q^{36} +(2.35133 - 0.255722i) q^{37} +(-1.55937 - 9.51173i) q^{38} +(2.33253 - 2.20949i) q^{39} +(7.74227 + 2.60867i) q^{40} +(10.8057 - 6.50154i) q^{41} +(-3.23529 + 2.45941i) q^{42} +(-2.62049 - 6.57694i) q^{43} +(1.08621 + 1.60205i) q^{44} +(0.519796 - 3.17061i) q^{45} +(0.0732438 - 1.35090i) q^{46} +(5.95006 - 1.30971i) q^{47} +(-1.68771 + 4.23584i) q^{48} +(0.0184038 + 0.0662845i) q^{49} +(-0.440496 - 8.12446i) q^{50} +(-2.48735 - 0.270516i) q^{51} +(0.860520 + 0.654150i) q^{52} +(0.313289 - 1.12836i) q^{53} +(1.49280 + 0.328591i) q^{54} +(-10.3732 + 15.2994i) q^{55} +(4.90821 + 4.64930i) q^{56} +(2.95370 + 5.57127i) q^{57} +6.21861 q^{58} +(6.29895 - 4.39582i) q^{59} +1.08095 q^{60} +(-2.55277 - 4.81504i) q^{61} +(5.05915 + 4.79229i) q^{62} +(1.49204 - 2.20059i) q^{63} +(6.09370 + 1.34132i) q^{64} +(-2.76163 + 9.94650i) q^{65} +(-7.00076 - 5.32184i) q^{66} +(-10.5176 - 1.14386i) q^{67} +(-0.0455726 - 0.840537i) q^{68} +(0.236785 + 0.852822i) q^{69} +(4.83299 - 12.1299i) q^{70} +(-15.0332 + 3.30905i) q^{71} +(0.137666 - 2.53909i) q^{72} +(0.660634 - 4.02969i) q^{73} +(-2.02886 - 2.99234i) q^{74} +(1.97024 + 4.94493i) q^{75} +(-1.68892 + 1.28388i) q^{76} +(-13.1065 + 7.88589i) q^{77} +(-4.65393 - 1.56809i) q^{78} +(3.08523 - 2.92248i) q^{79} +(-2.37010 - 14.4570i) q^{80} +(-0.994138 + 0.108119i) q^{81} +(-16.5169 - 9.93788i) q^{82} +(9.62052 + 11.3262i) q^{83} +(0.811819 + 0.375587i) q^{84} +(7.29585 - 3.37542i) q^{85} +(-7.00583 + 8.24790i) q^{86} +(-3.85536 + 1.29902i) q^{87} +(-6.85244 + 12.9251i) q^{88} +(-1.38141 + 2.60561i) q^{89} +(-4.65403 + 1.56812i) q^{90} +(-5.53005 + 6.51048i) q^{91} +(-0.270253 + 0.125032i) q^{92} +(-4.13761 - 1.91426i) q^{93} +(-6.02887 - 7.09774i) q^{94} +(-17.3601 - 10.4452i) q^{95} +(1.87297 - 0.203698i) q^{96} +(-1.59285 - 9.71594i) q^{97} +(0.0763394 - 0.0723125i) q^{98} +(5.45197 + 1.83698i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{10}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.715981 1.35048i −0.506275 0.954937i −0.996520 0.0833518i \(-0.973437\pi\)
0.490245 0.871585i \(-0.336907\pi\)
\(3\) 0.725995 + 0.687699i 0.419154 + 0.397043i
\(4\) −0.188804 + 0.278465i −0.0944021 + 0.139233i
\(5\) −3.13782 0.690687i −1.40328 0.308885i −0.552106 0.833774i \(-0.686176\pi\)
−0.851171 + 0.524889i \(0.824107\pi\)
\(6\) 0.408928 1.47283i 0.166944 0.601278i
\(7\) −2.11659 1.60899i −0.799995 0.608141i 0.123239 0.992377i \(-0.460672\pi\)
−0.923235 + 0.384236i \(0.874465\pi\)
\(8\) −2.52792 0.274928i −0.893754 0.0972016i
\(9\) 0.0541389 + 0.998533i 0.0180463 + 0.332844i
\(10\) 1.31386 + 4.73210i 0.415479 + 1.49642i
\(11\) 2.12945 5.34452i 0.642054 1.61143i −0.141377 0.989956i \(-0.545153\pi\)
0.783431 0.621479i \(-0.213468\pi\)
\(12\) −0.328571 + 0.0723240i −0.0948504 + 0.0208781i
\(13\) 0.173941 3.20816i 0.0482426 0.889783i −0.869825 0.493360i \(-0.835769\pi\)
0.918068 0.396423i \(-0.129749\pi\)
\(14\) −0.657476 + 4.01043i −0.175718 + 1.07183i
\(15\) −1.80306 2.65931i −0.465548 0.686632i
\(16\) 1.68771 + 4.23584i 0.421928 + 1.05896i
\(17\) −1.99184 + 1.51416i −0.483092 + 0.367237i −0.818192 0.574946i \(-0.805023\pi\)
0.335100 + 0.942183i \(0.391230\pi\)
\(18\) 1.30974 0.788045i 0.308709 0.185744i
\(19\) 5.97573 + 2.01346i 1.37093 + 0.461919i 0.905943 0.423400i \(-0.139164\pi\)
0.464984 + 0.885319i \(0.346060\pi\)
\(20\) 0.784766 0.743370i 0.175479 0.166223i
\(21\) −0.430133 2.62370i −0.0938627 0.572537i
\(22\) −8.74234 + 0.950787i −1.86387 + 0.202709i
\(23\) 0.758390 + 0.456308i 0.158135 + 0.0951468i 0.592422 0.805628i \(-0.298172\pi\)
−0.434287 + 0.900775i \(0.642999\pi\)
\(24\) −1.64619 1.93804i −0.336027 0.395602i
\(25\) 4.83101 + 2.23506i 0.966201 + 0.447012i
\(26\) −4.45711 + 2.06208i −0.874111 + 0.404407i
\(27\) −0.647386 + 0.762162i −0.124590 + 0.146678i
\(28\) 0.847668 0.285613i 0.160194 0.0539757i
\(29\) −1.90564 + 3.59442i −0.353868 + 0.667466i −0.994990 0.0999726i \(-0.968124\pi\)
0.641122 + 0.767439i \(0.278469\pi\)
\(30\) −2.30041 + 4.33902i −0.419995 + 0.792194i
\(31\) −4.32032 + 1.45569i −0.775953 + 0.261449i −0.679292 0.733868i \(-0.737713\pi\)
−0.0966614 + 0.995317i \(0.530816\pi\)
\(32\) 1.21969 1.43593i 0.215612 0.253838i
\(33\) 5.22140 2.41568i 0.908929 0.420515i
\(34\) 3.47096 + 1.60584i 0.595266 + 0.275399i
\(35\) 5.53017 + 6.51062i 0.934770 + 1.10050i
\(36\) −0.288278 0.173451i −0.0480464 0.0289086i
\(37\) 2.35133 0.255722i 0.386556 0.0420405i 0.0872221 0.996189i \(-0.472201\pi\)
0.299334 + 0.954148i \(0.403236\pi\)
\(38\) −1.55937 9.51173i −0.252963 1.54301i
\(39\) 2.33253 2.20949i 0.373504 0.353802i
\(40\) 7.74227 + 2.60867i 1.22416 + 0.412468i
\(41\) 10.8057 6.50154i 1.68756 1.01537i 0.754050 0.656817i \(-0.228098\pi\)
0.933509 0.358553i \(-0.116730\pi\)
\(42\) −3.23529 + 2.45941i −0.499216 + 0.379494i
\(43\) −2.62049 6.57694i −0.399621 1.00297i −0.981801 0.189914i \(-0.939179\pi\)
0.582179 0.813060i \(-0.302200\pi\)
\(44\) 1.08621 + 1.60205i 0.163753 + 0.241518i
\(45\) 0.519796 3.17061i 0.0774866 0.472647i
\(46\) 0.0732438 1.35090i 0.0107992 0.199180i
\(47\) 5.95006 1.30971i 0.867906 0.191041i 0.241370 0.970433i \(-0.422403\pi\)
0.626536 + 0.779393i \(0.284472\pi\)
\(48\) −1.68771 + 4.23584i −0.243600 + 0.611391i
\(49\) 0.0184038 + 0.0662845i 0.00262911 + 0.00946921i
\(50\) −0.440496 8.12446i −0.0622955 1.14897i
\(51\) −2.48735 0.270516i −0.348299 0.0378798i
\(52\) 0.860520 + 0.654150i 0.119333 + 0.0907143i
\(53\) 0.313289 1.12836i 0.0430336 0.154993i −0.938912 0.344158i \(-0.888164\pi\)
0.981945 + 0.189165i \(0.0605782\pi\)
\(54\) 1.49280 + 0.328591i 0.203145 + 0.0447156i
\(55\) −10.3732 + 15.2994i −1.39873 + 2.06297i
\(56\) 4.90821 + 4.64930i 0.655887 + 0.621289i
\(57\) 2.95370 + 5.57127i 0.391227 + 0.737932i
\(58\) 6.21861 0.816543
\(59\) 6.29895 4.39582i 0.820053 0.572287i
\(60\) 1.08095 0.139550
\(61\) −2.55277 4.81504i −0.326849 0.616503i 0.664570 0.747226i \(-0.268615\pi\)
−0.991419 + 0.130723i \(0.958270\pi\)
\(62\) 5.05915 + 4.79229i 0.642513 + 0.608621i
\(63\) 1.49204 2.20059i 0.187979 0.277249i
\(64\) 6.09370 + 1.34132i 0.761712 + 0.167665i
\(65\) −2.76163 + 9.94650i −0.342538 + 1.23371i
\(66\) −7.00076 5.32184i −0.861734 0.655073i
\(67\) −10.5176 1.14386i −1.28493 0.139744i −0.559955 0.828523i \(-0.689182\pi\)
−0.724972 + 0.688779i \(0.758147\pi\)
\(68\) −0.0455726 0.840537i −0.00552649 0.101930i
\(69\) 0.236785 + 0.852822i 0.0285056 + 0.102668i
\(70\) 4.83299 12.1299i 0.577653 1.44980i
\(71\) −15.0332 + 3.30905i −1.78411 + 0.392713i −0.979557 0.201167i \(-0.935527\pi\)
−0.804554 + 0.593880i \(0.797596\pi\)
\(72\) 0.137666 2.53909i 0.0162241 0.299235i
\(73\) 0.660634 4.02969i 0.0773214 0.471640i −0.919575 0.392915i \(-0.871467\pi\)
0.996896 0.0787250i \(-0.0250849\pi\)
\(74\) −2.02886 2.99234i −0.235850 0.347852i
\(75\) 1.97024 + 4.94493i 0.227504 + 0.570991i
\(76\) −1.68892 + 1.28388i −0.193732 + 0.147272i
\(77\) −13.1065 + 7.88589i −1.49362 + 0.898681i
\(78\) −4.65393 1.56809i −0.526954 0.177551i
\(79\) 3.08523 2.92248i 0.347115 0.328805i −0.494201 0.869347i \(-0.664539\pi\)
0.841317 + 0.540542i \(0.181781\pi\)
\(80\) −2.37010 14.4570i −0.264986 1.61634i
\(81\) −0.994138 + 0.108119i −0.110460 + 0.0120132i
\(82\) −16.5169 9.93788i −1.82398 1.09745i
\(83\) 9.62052 + 11.3262i 1.05599 + 1.24321i 0.969016 + 0.246997i \(0.0794436\pi\)
0.0869734 + 0.996211i \(0.472280\pi\)
\(84\) 0.811819 + 0.375587i 0.0885767 + 0.0409799i
\(85\) 7.29585 3.37542i 0.791346 0.366116i
\(86\) −7.00583 + 8.24790i −0.755458 + 0.889394i
\(87\) −3.85536 + 1.29902i −0.413338 + 0.139270i
\(88\) −6.85244 + 12.9251i −0.730472 + 1.37782i
\(89\) −1.38141 + 2.60561i −0.146429 + 0.276194i −0.945867 0.324554i \(-0.894786\pi\)
0.799438 + 0.600748i \(0.205131\pi\)
\(90\) −4.65403 + 1.56812i −0.490578 + 0.165295i
\(91\) −5.53005 + 6.51048i −0.579707 + 0.682484i
\(92\) −0.270253 + 0.125032i −0.0281758 + 0.0130355i
\(93\) −4.13761 1.91426i −0.429050 0.198500i
\(94\) −6.02887 7.09774i −0.621831 0.732076i
\(95\) −17.3601 10.4452i −1.78111 1.07166i
\(96\) 1.87297 0.203698i 0.191159 0.0207898i
\(97\) −1.59285 9.71594i −0.161729 0.986504i −0.935574 0.353129i \(-0.885118\pi\)
0.773845 0.633375i \(-0.218331\pi\)
\(98\) 0.0763394 0.0723125i 0.00771144 0.00730467i
\(99\) 5.45197 + 1.83698i 0.547944 + 0.184624i
\(100\) −1.53450 + 0.923279i −0.153450 + 0.0923279i
\(101\) 6.53457 4.96745i 0.650214 0.494280i −0.227304 0.973824i \(-0.572991\pi\)
0.877518 + 0.479544i \(0.159198\pi\)
\(102\) 1.41557 + 3.55281i 0.140162 + 0.351781i
\(103\) 6.36057 + 9.38113i 0.626725 + 0.924350i 0.999994 0.00337270i \(-0.00107357\pi\)
−0.373269 + 0.927723i \(0.621763\pi\)
\(104\) −1.32172 + 8.06214i −0.129605 + 0.790558i
\(105\) −0.462471 + 8.52978i −0.0451326 + 0.832421i
\(106\) −1.74815 + 0.384797i −0.169795 + 0.0373747i
\(107\) 2.13579 5.36043i 0.206475 0.518212i −0.788874 0.614556i \(-0.789335\pi\)
0.995348 + 0.0963433i \(0.0307147\pi\)
\(108\) −0.0900064 0.324174i −0.00866087 0.0311936i
\(109\) −0.219489 4.04823i −0.0210232 0.387750i −0.990043 0.140766i \(-0.955043\pi\)
0.969020 0.246984i \(-0.0794394\pi\)
\(110\) 28.0886 + 3.05482i 2.67815 + 0.291266i
\(111\) 1.88291 + 1.43135i 0.178718 + 0.135858i
\(112\) 3.24323 11.6810i 0.306456 1.10375i
\(113\) 8.11910 + 1.78715i 0.763780 + 0.168121i 0.579744 0.814799i \(-0.303153\pi\)
0.184036 + 0.982919i \(0.441084\pi\)
\(114\) 5.40912 7.97785i 0.506610 0.747194i
\(115\) −2.06453 1.95562i −0.192518 0.182363i
\(116\) −0.641128 1.20929i −0.0595272 0.112280i
\(117\) 3.21287 0.297030
\(118\) −10.4464 5.35931i −0.961671 0.493364i
\(119\) 6.65217 0.609803
\(120\) 3.82687 + 7.21824i 0.349344 + 0.658932i
\(121\) −16.0434 15.1971i −1.45849 1.38156i
\(122\) −4.67490 + 6.89496i −0.423245 + 0.624240i
\(123\) 12.3160 + 2.71095i 1.11049 + 0.244438i
\(124\) 0.410337 1.47790i 0.0368493 0.132719i
\(125\) −0.826122 0.628002i −0.0738906 0.0561702i
\(126\) −4.04014 0.439392i −0.359924 0.0391441i
\(127\) 0.308049 + 5.68164i 0.0273350 + 0.504164i 0.979858 + 0.199697i \(0.0639956\pi\)
−0.952523 + 0.304467i \(0.901522\pi\)
\(128\) −3.55959 12.8205i −0.314626 1.13318i
\(129\) 2.62049 6.57694i 0.230721 0.579067i
\(130\) 15.4099 3.39197i 1.35153 0.297495i
\(131\) −0.723818 + 13.3500i −0.0632402 + 1.16640i 0.778903 + 0.627144i \(0.215776\pi\)
−0.842144 + 0.539253i \(0.818706\pi\)
\(132\) −0.313140 + 1.91007i −0.0272553 + 0.166250i
\(133\) −9.40853 13.8765i −0.815823 1.20325i
\(134\) 5.98563 + 15.0228i 0.517080 + 1.29777i
\(135\) 2.55780 1.94439i 0.220140 0.167346i
\(136\) 5.45149 3.28005i 0.467461 0.281262i
\(137\) −19.0293 6.41173i −1.62578 0.547791i −0.648774 0.760981i \(-0.724718\pi\)
−0.977011 + 0.213190i \(0.931615\pi\)
\(138\) 0.982189 0.930379i 0.0836095 0.0791991i
\(139\) 2.56916 + 15.6712i 0.217914 + 1.32921i 0.838425 + 0.545017i \(0.183477\pi\)
−0.620512 + 0.784197i \(0.713075\pi\)
\(140\) −2.85710 + 0.310728i −0.241469 + 0.0262614i
\(141\) 5.22040 + 3.14101i 0.439637 + 0.264521i
\(142\) 15.2323 + 17.9329i 1.27827 + 1.50489i
\(143\) −16.7757 7.76126i −1.40285 0.649029i
\(144\) −4.13826 + 1.91456i −0.344855 + 0.159547i
\(145\) 8.46218 9.96244i 0.702745 0.827336i
\(146\) −5.91504 + 1.99301i −0.489532 + 0.164942i
\(147\) −0.0322227 + 0.0607785i −0.00265769 + 0.00501293i
\(148\) −0.372731 + 0.703045i −0.0306383 + 0.0577899i
\(149\) 9.11172 3.07010i 0.746461 0.251512i 0.0797365 0.996816i \(-0.474592\pi\)
0.666725 + 0.745304i \(0.267696\pi\)
\(150\) 5.26739 6.20125i 0.430081 0.506330i
\(151\) 11.6744 5.40115i 0.950048 0.439539i 0.117242 0.993103i \(-0.462595\pi\)
0.832806 + 0.553564i \(0.186733\pi\)
\(152\) −14.5526 6.73275i −1.18037 0.546098i
\(153\) −1.61977 1.90694i −0.130951 0.154167i
\(154\) 20.0338 + 12.0539i 1.61437 + 0.971332i
\(155\) 14.5618 1.58370i 1.16963 0.127205i
\(156\) 0.174875 + 1.06669i 0.0140012 + 0.0854035i
\(157\) 9.01363 8.53816i 0.719366 0.681420i −0.237684 0.971343i \(-0.576388\pi\)
0.957050 + 0.289923i \(0.0936296\pi\)
\(158\) −6.15574 2.07411i −0.489724 0.165007i
\(159\) 1.00342 0.603739i 0.0795766 0.0478796i
\(160\) −4.81893 + 3.66326i −0.380970 + 0.289606i
\(161\) −0.871005 2.18606i −0.0686448 0.172285i
\(162\) 0.857797 + 1.26516i 0.0673949 + 0.0994001i
\(163\) −3.66725 + 22.3693i −0.287241 + 1.75210i 0.310656 + 0.950523i \(0.399451\pi\)
−0.597897 + 0.801573i \(0.703997\pi\)
\(164\) −0.229697 + 4.23652i −0.0179363 + 0.330816i
\(165\) −18.0523 + 3.97361i −1.40537 + 0.309345i
\(166\) 8.40768 21.1017i 0.652562 1.63781i
\(167\) 0.875147 + 3.15199i 0.0677209 + 0.243909i 0.989662 0.143423i \(-0.0458108\pi\)
−0.921941 + 0.387331i \(0.873397\pi\)
\(168\) 0.366015 + 6.75074i 0.0282386 + 0.520831i
\(169\) 2.66176 + 0.289484i 0.204751 + 0.0222680i
\(170\) −9.78214 7.43619i −0.750256 0.570330i
\(171\) −1.68699 + 6.07597i −0.129007 + 0.464641i
\(172\) 2.32621 + 0.512037i 0.177372 + 0.0390425i
\(173\) −5.77359 + 8.51542i −0.438958 + 0.647415i −0.981242 0.192780i \(-0.938249\pi\)
0.542284 + 0.840195i \(0.317560\pi\)
\(174\) 4.51468 + 4.27653i 0.342257 + 0.324203i
\(175\) −6.62907 12.5037i −0.501110 0.945194i
\(176\) 26.2325 1.97735
\(177\) 7.59601 + 1.14044i 0.570951 + 0.0857207i
\(178\) 4.50789 0.337881
\(179\) 5.82632 + 10.9896i 0.435480 + 0.821402i 0.999992 0.00402296i \(-0.00128055\pi\)
−0.564512 + 0.825425i \(0.690936\pi\)
\(180\) 0.784766 + 0.743370i 0.0584930 + 0.0554075i
\(181\) −5.17090 + 7.62651i −0.384350 + 0.566874i −0.969821 0.243820i \(-0.921599\pi\)
0.585471 + 0.810694i \(0.300910\pi\)
\(182\) 12.7517 + 2.80687i 0.945220 + 0.208059i
\(183\) 1.45800 5.25124i 0.107778 0.388183i
\(184\) −1.79170 1.36201i −0.132086 0.100409i
\(185\) −7.55468 0.821621i −0.555431 0.0604068i
\(186\) 0.377271 + 6.95836i 0.0276629 + 0.510211i
\(187\) 3.85092 + 13.8698i 0.281607 + 1.01426i
\(188\) −0.758688 + 1.90416i −0.0553330 + 0.138875i
\(189\) 2.59656 0.571546i 0.188872 0.0415739i
\(190\) −1.67660 + 30.9232i −0.121634 + 2.24340i
\(191\) 0.935224 5.70462i 0.0676705 0.412771i −0.931168 0.364590i \(-0.881209\pi\)
0.998839 0.0481815i \(-0.0153426\pi\)
\(192\) 3.50157 + 5.16443i 0.252704 + 0.372710i
\(193\) −1.18695 2.97903i −0.0854387 0.214435i 0.880049 0.474882i \(-0.157509\pi\)
−0.965488 + 0.260447i \(0.916130\pi\)
\(194\) −11.9808 + 9.10755i −0.860169 + 0.653884i
\(195\) −8.84513 + 5.32194i −0.633413 + 0.381112i
\(196\) −0.0219326 0.00738997i −0.00156662 0.000527855i
\(197\) −2.22892 + 2.11135i −0.158804 + 0.150427i −0.762976 0.646427i \(-0.776263\pi\)
0.604172 + 0.796854i \(0.293504\pi\)
\(198\) −1.42269 8.67805i −0.101106 0.616722i
\(199\) −20.9806 + 2.28178i −1.48728 + 0.161751i −0.815394 0.578906i \(-0.803480\pi\)
−0.671883 + 0.740657i \(0.734514\pi\)
\(200\) −11.5979 6.97823i −0.820096 0.493435i
\(201\) −6.84909 8.06337i −0.483097 0.568746i
\(202\) −11.3871 5.26823i −0.801193 0.370672i
\(203\) 9.81683 4.54175i 0.689006 0.318768i
\(204\) 0.544951 0.641566i 0.0381542 0.0449186i
\(205\) −38.3968 + 12.9374i −2.68175 + 0.903585i
\(206\) 8.11502 15.3066i 0.565401 1.06646i
\(207\) −0.414581 + 0.781982i −0.0288153 + 0.0543515i
\(208\) 13.8828 4.67766i 0.962600 0.324338i
\(209\) 23.4860 27.6499i 1.62456 1.91258i
\(210\) 11.8505 5.48260i 0.817759 0.378336i
\(211\) 1.53907 + 0.712051i 0.105954 + 0.0490196i 0.472150 0.881518i \(-0.343478\pi\)
−0.366196 + 0.930538i \(0.619340\pi\)
\(212\) 0.255060 + 0.300280i 0.0175176 + 0.0206233i
\(213\) −13.1897 7.93596i −0.903741 0.543763i
\(214\) −8.76836 + 0.953617i −0.599393 + 0.0651879i
\(215\) 3.68003 + 22.4472i 0.250976 + 1.53089i
\(216\) 1.84608 1.74870i 0.125610 0.118984i
\(217\) 11.4865 + 3.87026i 0.779757 + 0.262731i
\(218\) −5.30992 + 3.19487i −0.359633 + 0.216384i
\(219\) 3.25083 2.47122i 0.219671 0.166990i
\(220\) −2.30184 5.77717i −0.155190 0.389497i
\(221\) 4.51119 + 6.65351i 0.303456 + 0.447564i
\(222\) 0.584890 3.56767i 0.0392552 0.239446i
\(223\) 0.457604 8.44000i 0.0306434 0.565184i −0.942389 0.334518i \(-0.891427\pi\)
0.973033 0.230667i \(-0.0740906\pi\)
\(224\) −4.89196 + 1.07680i −0.326858 + 0.0719469i
\(225\) −1.97024 + 4.94493i −0.131349 + 0.329662i
\(226\) −3.39961 12.2443i −0.226139 0.814477i
\(227\) −0.114495 2.11173i −0.00759927 0.140160i −0.999871 0.0160747i \(-0.994883\pi\)
0.992272 0.124086i \(-0.0395997\pi\)
\(228\) −2.10907 0.229376i −0.139677 0.0151908i
\(229\) 18.7513 + 14.2543i 1.23912 + 0.941954i 0.999581 0.0289335i \(-0.00921111\pi\)
0.239537 + 0.970887i \(0.423004\pi\)
\(230\) −1.16288 + 4.18830i −0.0766778 + 0.276169i
\(231\) −14.9384 3.28818i −0.982871 0.216346i
\(232\) 5.80550 8.56248i 0.381150 0.562154i
\(233\) −4.92744 4.66752i −0.322807 0.305779i 0.509085 0.860716i \(-0.329984\pi\)
−0.831892 + 0.554937i \(0.812742\pi\)
\(234\) −2.30036 4.33893i −0.150379 0.283645i
\(235\) −19.5748 −1.27692
\(236\) 0.0348150 + 2.58399i 0.00226627 + 0.168203i
\(237\) 4.24965 0.276045
\(238\) −4.76283 8.98364i −0.308728 0.582323i
\(239\) −6.96309 6.59579i −0.450405 0.426646i 0.428574 0.903507i \(-0.359016\pi\)
−0.878979 + 0.476860i \(0.841775\pi\)
\(240\) 8.22139 12.1256i 0.530688 0.782706i
\(241\) 7.24607 + 1.59498i 0.466760 + 0.102742i 0.442122 0.896955i \(-0.354226\pi\)
0.0246380 + 0.999696i \(0.492157\pi\)
\(242\) −9.03670 + 32.5472i −0.580901 + 2.09222i
\(243\) −0.796093 0.605174i −0.0510694 0.0388219i
\(244\) 1.82280 + 0.198241i 0.116693 + 0.0126911i
\(245\) −0.0119660 0.220700i −0.000764481 0.0141000i
\(246\) −5.15691 18.5735i −0.328792 1.18420i
\(247\) 7.49892 18.8209i 0.477145 1.19754i
\(248\) 11.3216 2.49208i 0.718924 0.158247i
\(249\) −0.804535 + 14.8388i −0.0509853 + 0.940369i
\(250\) −0.256618 + 1.56530i −0.0162300 + 0.0989985i
\(251\) 5.31032 + 7.83213i 0.335184 + 0.494360i 0.957511 0.288398i \(-0.0931227\pi\)
−0.622326 + 0.782758i \(0.713812\pi\)
\(252\) 0.331086 + 0.830962i 0.0208564 + 0.0523457i
\(253\) 4.05371 3.08155i 0.254854 0.193735i
\(254\) 7.45240 4.48396i 0.467605 0.281349i
\(255\) 7.61803 + 2.56681i 0.477059 + 0.160740i
\(256\) −5.70546 + 5.40450i −0.356591 + 0.337781i
\(257\) 0.242935 + 1.48184i 0.0151539 + 0.0924346i 0.993321 0.115387i \(-0.0368109\pi\)
−0.978167 + 0.207822i \(0.933363\pi\)
\(258\) −10.7583 + 1.17003i −0.669781 + 0.0728431i
\(259\) −5.38825 3.24200i −0.334810 0.201448i
\(260\) −2.24835 2.64696i −0.139437 0.164157i
\(261\) −3.69231 1.70825i −0.228549 0.105738i
\(262\) 18.5472 8.58087i 1.14585 0.530128i
\(263\) 5.97233 7.03117i 0.368269 0.433560i −0.546548 0.837428i \(-0.684058\pi\)
0.914818 + 0.403867i \(0.132334\pi\)
\(264\) −13.8634 + 4.67112i −0.853234 + 0.287488i
\(265\) −1.76239 + 3.32422i −0.108263 + 0.204206i
\(266\) −12.0037 + 22.6414i −0.735995 + 1.38823i
\(267\) −2.79477 + 0.941667i −0.171037 + 0.0576291i
\(268\) 2.30429 2.71282i 0.140757 0.165712i
\(269\) 26.2246 12.1328i 1.59894 0.739751i 0.600729 0.799453i \(-0.294877\pi\)
0.998216 + 0.0597023i \(0.0190151\pi\)
\(270\) −4.45720 2.06212i −0.271257 0.125497i
\(271\) 8.64461 + 10.1772i 0.525123 + 0.618222i 0.959226 0.282641i \(-0.0912104\pi\)
−0.434103 + 0.900863i \(0.642935\pi\)
\(272\) −9.77538 5.88165i −0.592719 0.356627i
\(273\) −8.49205 + 0.923566i −0.513962 + 0.0558968i
\(274\) 4.96571 + 30.2895i 0.299989 + 1.82985i
\(275\) 22.2327 21.0600i 1.34068 1.26996i
\(276\) −0.282187 0.0950800i −0.0169857 0.00572314i
\(277\) 3.77324 2.27028i 0.226712 0.136408i −0.397667 0.917530i \(-0.630180\pi\)
0.624378 + 0.781122i \(0.285352\pi\)
\(278\) 19.3242 14.6899i 1.15899 0.881042i
\(279\) −1.68745 4.23518i −0.101025 0.253554i
\(280\) −12.1899 17.9787i −0.728484 1.07443i
\(281\) 3.38051 20.6202i 0.201664 1.23010i −0.670881 0.741565i \(-0.734084\pi\)
0.872545 0.488533i \(-0.162468\pi\)
\(282\) 0.504176 9.29898i 0.0300232 0.553746i
\(283\) 3.20678 0.705866i 0.190623 0.0419594i −0.118633 0.992938i \(-0.537851\pi\)
0.309256 + 0.950979i \(0.399920\pi\)
\(284\) 1.91687 4.81098i 0.113745 0.285479i
\(285\) −5.42018 19.5217i −0.321064 1.15637i
\(286\) 1.52962 + 28.2122i 0.0904484 + 1.66822i
\(287\) −33.3320 3.62508i −1.96753 0.213981i
\(288\) 1.49985 + 1.14016i 0.0883796 + 0.0671844i
\(289\) −2.87323 + 10.3484i −0.169013 + 0.608732i
\(290\) −19.5129 4.29511i −1.14584 0.252218i
\(291\) 5.52525 8.14913i 0.323896 0.477710i
\(292\) 0.997398 + 0.944786i 0.0583683 + 0.0552894i
\(293\) −7.72882 14.5781i −0.451523 0.851662i −0.999881 0.0154188i \(-0.995092\pi\)
0.548358 0.836243i \(-0.315253\pi\)
\(294\) 0.105151 0.00613255
\(295\) −22.8011 + 9.44270i −1.32753 + 0.549775i
\(296\) −6.01427 −0.349572
\(297\) 2.69481 + 5.08296i 0.156369 + 0.294943i
\(298\) −10.6699 10.1071i −0.618093 0.585489i
\(299\) 1.59582 2.35367i 0.0922889 0.136116i
\(300\) −1.74898 0.384979i −0.100977 0.0222268i
\(301\) −5.03572 + 18.1370i −0.290254 + 1.04540i
\(302\) −15.6528 11.8990i −0.900718 0.684708i
\(303\) 8.16018 + 0.887474i 0.468790 + 0.0509840i
\(304\) 1.55663 + 28.7104i 0.0892789 + 1.64665i
\(305\) 4.68446 + 16.8719i 0.268232 + 0.966083i
\(306\) −1.41557 + 3.55281i −0.0809227 + 0.203101i
\(307\) 27.7529 6.10888i 1.58394 0.348652i 0.666183 0.745788i \(-0.267927\pi\)
0.917760 + 0.397136i \(0.129996\pi\)
\(308\) 0.278606 5.13858i 0.0158750 0.292798i
\(309\) −1.83366 + 11.1848i −0.104313 + 0.636282i
\(310\) −12.5648 18.5316i −0.713630 1.05253i
\(311\) 0.698851 + 1.75398i 0.0396282 + 0.0994593i 0.947459 0.319878i \(-0.103642\pi\)
−0.907831 + 0.419337i \(0.862263\pi\)
\(312\) −6.50389 + 4.94413i −0.368210 + 0.279906i
\(313\) −11.3281 + 6.81590i −0.640303 + 0.385258i −0.798367 0.602171i \(-0.794302\pi\)
0.158064 + 0.987429i \(0.449475\pi\)
\(314\) −17.9842 6.05960i −1.01491 0.341963i
\(315\) −6.20168 + 5.87454i −0.349425 + 0.330993i
\(316\) 0.231306 + 1.41091i 0.0130120 + 0.0793697i
\(317\) 7.08265 0.770285i 0.397801 0.0432635i 0.0929678 0.995669i \(-0.470365\pi\)
0.304834 + 0.952406i \(0.401399\pi\)
\(318\) −1.53377 0.922840i −0.0860097 0.0517503i
\(319\) 15.1525 + 17.8389i 0.848376 + 0.998785i
\(320\) −18.1945 8.41767i −1.01710 0.470562i
\(321\) 5.23694 2.42287i 0.292297 0.135231i
\(322\) −2.32861 + 2.74146i −0.129769 + 0.152775i
\(323\) −14.9514 + 5.03771i −0.831917 + 0.280306i
\(324\) 0.157590 0.297246i 0.00875500 0.0165137i
\(325\) 8.01075 15.1099i 0.444356 0.838145i
\(326\) 32.8350 11.0634i 1.81856 0.612745i
\(327\) 2.62462 3.08994i 0.145142 0.170874i
\(328\) −29.1032 + 13.4646i −1.60696 + 0.743458i
\(329\) −14.7011 6.80147i −0.810500 0.374977i
\(330\) 18.2914 + 21.5343i 1.00691 + 1.18543i
\(331\) −21.8240 13.1311i −1.19956 0.721750i −0.231588 0.972814i \(-0.574392\pi\)
−0.967971 + 0.251064i \(0.919220\pi\)
\(332\) −4.97034 + 0.540557i −0.272783 + 0.0296669i
\(333\) 0.382646 + 2.33404i 0.0209689 + 0.127904i
\(334\) 3.63013 3.43864i 0.198632 0.188154i
\(335\) 32.2123 + 10.8536i 1.75994 + 0.592994i
\(336\) 10.3876 6.25002i 0.566691 0.340967i
\(337\) −1.60576 + 1.22066i −0.0874711 + 0.0664938i −0.647996 0.761644i \(-0.724393\pi\)
0.560525 + 0.828138i \(0.310599\pi\)
\(338\) −1.51483 3.80194i −0.0823959 0.206798i
\(339\) 4.66541 + 6.88096i 0.253390 + 0.373723i
\(340\) −0.437549 + 2.66893i −0.0237294 + 0.144743i
\(341\) −1.41997 + 26.1899i −0.0768959 + 1.41826i
\(342\) 9.41335 2.07204i 0.509016 0.112043i
\(343\) −6.82096 + 17.1193i −0.368297 + 0.924356i
\(344\) 4.81621 + 17.3464i 0.259672 + 0.935256i
\(345\) −0.153956 2.83955i −0.00828871 0.152876i
\(346\) 15.6337 + 1.70027i 0.840474 + 0.0914071i
\(347\) −12.0576 9.16595i −0.647286 0.492054i 0.229265 0.973364i \(-0.426368\pi\)
−0.876550 + 0.481310i \(0.840161\pi\)
\(348\) 0.366176 1.31885i 0.0196291 0.0706976i
\(349\) 14.5157 + 3.19516i 0.777010 + 0.171033i 0.585734 0.810503i \(-0.300806\pi\)
0.191276 + 0.981536i \(0.438737\pi\)
\(350\) −12.1398 + 17.9049i −0.648901 + 0.957057i
\(351\) 2.33253 + 2.20949i 0.124501 + 0.117934i
\(352\) −5.07707 9.57638i −0.270609 0.510423i
\(353\) −24.9220 −1.32646 −0.663232 0.748414i \(-0.730816\pi\)
−0.663232 + 0.748414i \(0.730816\pi\)
\(354\) −3.89846 11.0748i −0.207201 0.588620i
\(355\) 49.4570 2.62490
\(356\) −0.464756 0.876623i −0.0246320 0.0464609i
\(357\) 4.82944 + 4.57469i 0.255601 + 0.242118i
\(358\) 10.6698 15.7367i 0.563914 0.831711i
\(359\) −10.6169 2.33696i −0.560340 0.123340i −0.0742351 0.997241i \(-0.523652\pi\)
−0.486104 + 0.873901i \(0.661583\pi\)
\(360\) −2.18569 + 7.87215i −0.115196 + 0.414898i
\(361\) 16.5296 + 12.5654i 0.869977 + 0.661339i
\(362\) 14.0017 + 1.52278i 0.735916 + 0.0800356i
\(363\) −1.19639 22.0661i −0.0627941 1.15817i
\(364\) −0.768846 2.76913i −0.0402985 0.145142i
\(365\) −4.85621 + 12.1882i −0.254186 + 0.637958i
\(366\) −8.13561 + 1.79078i −0.425255 + 0.0936058i
\(367\) 1.66286 30.6696i 0.0868004 1.60094i −0.553524 0.832833i \(-0.686717\pi\)
0.640324 0.768105i \(-0.278800\pi\)
\(368\) −0.652904 + 3.98254i −0.0340350 + 0.207604i
\(369\) 7.07702 + 10.4378i 0.368415 + 0.543371i
\(370\) 4.29942 + 10.7907i 0.223516 + 0.560984i
\(371\) −2.47863 + 1.88421i −0.128684 + 0.0978231i
\(372\) 1.31425 0.790760i 0.0681409 0.0409990i
\(373\) 30.7821 + 10.3717i 1.59383 + 0.537025i 0.969701 0.244293i \(-0.0785558\pi\)
0.624133 + 0.781318i \(0.285452\pi\)
\(374\) 15.9737 15.1311i 0.825980 0.782410i
\(375\) −0.167885 1.02405i −0.00866952 0.0528817i
\(376\) −15.4013 + 1.67500i −0.794264 + 0.0863814i
\(377\) 11.2000 + 6.73881i 0.576829 + 0.347066i
\(378\) −2.63095 3.09740i −0.135322 0.159313i
\(379\) −21.9036 10.1337i −1.12511 0.520531i −0.233058 0.972463i \(-0.574873\pi\)
−0.892053 + 0.451931i \(0.850735\pi\)
\(380\) 6.18630 2.86208i 0.317350 0.146822i
\(381\) −3.68362 + 4.33669i −0.188717 + 0.222175i
\(382\) −8.37360 + 2.82139i −0.428430 + 0.144355i
\(383\) −0.669632 + 1.26306i −0.0342166 + 0.0645393i −0.900031 0.435826i \(-0.856456\pi\)
0.865814 + 0.500366i \(0.166801\pi\)
\(384\) 6.23240 11.7555i 0.318046 0.599898i
\(385\) 46.5724 15.6921i 2.37355 0.799742i
\(386\) −3.17329 + 3.73589i −0.161516 + 0.190152i
\(387\) 6.42542 2.97272i 0.326623 0.151112i
\(388\) 3.00629 + 1.39086i 0.152621 + 0.0706100i
\(389\) −4.73888 5.57904i −0.240271 0.282869i 0.628789 0.777576i \(-0.283551\pi\)
−0.869060 + 0.494707i \(0.835275\pi\)
\(390\) 13.5201 + 8.13480i 0.684619 + 0.411922i
\(391\) −2.20151 + 0.239429i −0.111335 + 0.0121084i
\(392\) −0.0282999 0.172621i −0.00142936 0.00871870i
\(393\) −9.70630 + 9.19429i −0.489618 + 0.463791i
\(394\) 4.44721 + 1.49844i 0.224047 + 0.0754903i
\(395\) −11.6994 + 7.03931i −0.588662 + 0.354186i
\(396\) −1.54089 + 1.17135i −0.0774327 + 0.0588628i
\(397\) 1.29832 + 3.25853i 0.0651607 + 0.163541i 0.957951 0.286931i \(-0.0926350\pi\)
−0.892791 + 0.450472i \(0.851256\pi\)
\(398\) 18.1032 + 26.7003i 0.907434 + 1.33836i
\(399\) 2.71234 16.5445i 0.135787 0.828263i
\(400\) −1.31401 + 24.2355i −0.0657006 + 1.21178i
\(401\) 16.2709 3.58151i 0.812532 0.178852i 0.210779 0.977534i \(-0.432400\pi\)
0.601753 + 0.798682i \(0.294469\pi\)
\(402\) −5.98563 + 15.0228i −0.298536 + 0.749269i
\(403\) 3.91859 + 14.1135i 0.195199 + 0.703043i
\(404\) 0.149509 + 2.75753i 0.00743834 + 0.137192i
\(405\) 3.19411 + 0.347380i 0.158716 + 0.0172614i
\(406\) −13.1622 10.0057i −0.653230 0.496573i
\(407\) 3.64033 13.1113i 0.180444 0.649902i
\(408\) 6.21345 + 1.36768i 0.307611 + 0.0677104i
\(409\) −5.12428 + 7.55775i −0.253379 + 0.373707i −0.933012 0.359847i \(-0.882829\pi\)
0.679632 + 0.733553i \(0.262139\pi\)
\(410\) 44.9631 + 42.5913i 2.22057 + 2.10343i
\(411\) −9.40586 17.7413i −0.463957 0.875116i
\(412\) −3.81322 −0.187864
\(413\) −20.4051 0.830800i −1.00407 0.0408810i
\(414\) 1.35289 0.0664907
\(415\) −22.3647 42.1842i −1.09784 2.07074i
\(416\) −4.39452 4.16271i −0.215459 0.204094i
\(417\) −8.91187 + 13.1440i −0.436416 + 0.643666i
\(418\) −54.1563 11.9207i −2.64887 0.583060i
\(419\) −0.825623 + 2.97363i −0.0403343 + 0.145271i −0.980976 0.194132i \(-0.937811\pi\)
0.940641 + 0.339403i \(0.110225\pi\)
\(420\) −2.28793 1.73924i −0.111640 0.0848662i
\(421\) −9.30002 1.01144i −0.453255 0.0492945i −0.121356 0.992609i \(-0.538724\pi\)
−0.331900 + 0.943315i \(0.607690\pi\)
\(422\) −0.140334 2.58831i −0.00683135 0.125997i
\(423\) 1.62992 + 5.87043i 0.0792493 + 0.285430i
\(424\) −1.10219 + 2.76628i −0.0535270 + 0.134343i
\(425\) −13.0068 + 2.86302i −0.630924 + 0.138877i
\(426\) −1.27383 + 23.4944i −0.0617173 + 1.13831i
\(427\) −2.34418 + 14.2988i −0.113443 + 0.691969i
\(428\) 1.08945 + 1.60681i 0.0526604 + 0.0776683i
\(429\) −6.84166 17.1713i −0.330318 0.829037i
\(430\) 27.6798 21.0416i 1.33484 1.01472i
\(431\) 16.8099 10.1142i 0.809703 0.487182i −0.0495262 0.998773i \(-0.515771\pi\)
0.859229 + 0.511591i \(0.170944\pi\)
\(432\) −4.32100 1.45591i −0.207894 0.0700477i
\(433\) 20.1288 19.0670i 0.967329 0.916303i −0.0291979 0.999574i \(-0.509295\pi\)
0.996527 + 0.0832709i \(0.0265367\pi\)
\(434\) −2.99741 18.2834i −0.143880 0.877632i
\(435\) 12.9947 1.41326i 0.623047 0.0677604i
\(436\) 1.16873 + 0.703203i 0.0559721 + 0.0336773i
\(437\) 3.61318 + 4.25376i 0.172842 + 0.203485i
\(438\) −5.66488 2.62085i −0.270678 0.125229i
\(439\) 4.66723 2.15929i 0.222755 0.103057i −0.305338 0.952244i \(-0.598769\pi\)
0.528093 + 0.849187i \(0.322907\pi\)
\(440\) 30.4289 35.8237i 1.45064 1.70783i
\(441\) −0.0651909 + 0.0219654i −0.00310433 + 0.00104597i
\(442\) 5.75553 10.8561i 0.273763 0.516371i
\(443\) −17.7231 + 33.4292i −0.842048 + 1.58827i −0.0337999 + 0.999429i \(0.510761\pi\)
−0.808248 + 0.588842i \(0.799584\pi\)
\(444\) −0.754084 + 0.254081i −0.0357873 + 0.0120581i
\(445\) 6.13427 7.22182i 0.290792 0.342347i
\(446\) −11.7257 + 5.42490i −0.555229 + 0.256876i
\(447\) 8.72637 + 4.03725i 0.412743 + 0.190955i
\(448\) −10.7397 12.6437i −0.507402 0.597360i
\(449\) −24.7970 14.9199i −1.17024 0.704113i −0.208490 0.978024i \(-0.566855\pi\)
−0.961755 + 0.273911i \(0.911682\pi\)
\(450\) 8.08870 0.879699i 0.381305 0.0414694i
\(451\) −11.7375 71.5958i −0.552699 3.37131i
\(452\) −2.03058 + 1.92347i −0.0955104 + 0.0904722i
\(453\) 12.1899 + 4.10726i 0.572732 + 0.192976i
\(454\) −2.76988 + 1.66658i −0.129997 + 0.0782165i
\(455\) 21.8490 16.6092i 1.02430 0.778652i
\(456\) −5.93501 14.8958i −0.277932 0.697558i
\(457\) 8.99380 + 13.2649i 0.420712 + 0.620504i 0.977697 0.210018i \(-0.0673523\pi\)
−0.556985 + 0.830522i \(0.688042\pi\)
\(458\) 5.82471 35.5291i 0.272171 1.66017i
\(459\) 0.135457 2.49835i 0.00632257 0.116613i
\(460\) 0.934365 0.205669i 0.0435650 0.00958938i
\(461\) −10.2473 + 25.7187i −0.477263 + 1.19784i 0.471505 + 0.881863i \(0.343711\pi\)
−0.948767 + 0.315975i \(0.897668\pi\)
\(462\) 6.25495 + 22.5283i 0.291006 + 1.04811i
\(463\) 1.86808 + 34.4546i 0.0868169 + 1.60124i 0.640128 + 0.768268i \(0.278881\pi\)
−0.553311 + 0.832975i \(0.686636\pi\)
\(464\) −18.4415 2.00564i −0.856127 0.0931095i
\(465\) 11.6609 + 8.86441i 0.540763 + 0.411077i
\(466\) −2.77545 + 9.99628i −0.128570 + 0.463069i
\(467\) 19.8737 + 4.37454i 0.919646 + 0.202429i 0.649475 0.760383i \(-0.274989\pi\)
0.270171 + 0.962812i \(0.412920\pi\)
\(468\) −0.606603 + 0.894673i −0.0280402 + 0.0413563i
\(469\) 20.4209 + 19.3437i 0.942951 + 0.893211i
\(470\) 14.0152 + 26.4355i 0.646474 + 1.21938i
\(471\) 12.4155 0.572078
\(472\) −17.1318 + 9.38051i −0.788553 + 0.431773i
\(473\) −40.7308 −1.87281
\(474\) −3.04267 5.73909i −0.139755 0.263605i
\(475\) 24.3686 + 23.0832i 1.11811 + 1.05913i
\(476\) −1.25596 + 1.85240i −0.0575667 + 0.0849045i
\(477\) 1.14367 + 0.251741i 0.0523651 + 0.0115264i
\(478\) −3.92207 + 14.1260i −0.179391 + 0.646108i
\(479\) −14.0771 10.7011i −0.643199 0.488948i 0.231996 0.972717i \(-0.425474\pi\)
−0.875196 + 0.483769i \(0.839267\pi\)
\(480\) −6.01774 0.654469i −0.274671 0.0298723i
\(481\) −0.411405 7.58792i −0.0187585 0.345979i
\(482\) −3.03406 10.9277i −0.138197 0.497742i
\(483\) 0.871005 2.18606i 0.0396321 0.0994691i
\(484\) 7.26094 1.59825i 0.330043 0.0726478i
\(485\) −1.71260 + 31.5871i −0.0777652 + 1.43429i
\(486\) −0.247290 + 1.50840i −0.0112173 + 0.0684226i
\(487\) −3.21807 4.74630i −0.145825 0.215075i 0.747761 0.663968i \(-0.231129\pi\)
−0.893586 + 0.448893i \(0.851819\pi\)
\(488\) 5.12941 + 12.8739i 0.232198 + 0.582772i
\(489\) −18.0457 + 13.7180i −0.816056 + 0.620350i
\(490\) −0.289485 + 0.174177i −0.0130776 + 0.00786852i
\(491\) 5.54436 + 1.86811i 0.250213 + 0.0843067i 0.441613 0.897205i \(-0.354406\pi\)
−0.191400 + 0.981512i \(0.561303\pi\)
\(492\) −3.08021 + 2.91773i −0.138867 + 0.131541i
\(493\) −1.64678 10.0449i −0.0741674 0.452401i
\(494\) −30.7864 + 3.34822i −1.38514 + 0.150644i
\(495\) −15.8385 9.52973i −0.711890 0.428330i
\(496\) −13.4575 15.8434i −0.604261 0.711391i
\(497\) 37.1433 + 17.1843i 1.66610 + 0.770822i
\(498\) 20.6156 9.53777i 0.923805 0.427398i
\(499\) −18.5834 + 21.8781i −0.831909 + 0.979399i −0.999980 0.00637625i \(-0.997970\pi\)
0.168071 + 0.985775i \(0.446246\pi\)
\(500\) 0.330852 0.111477i 0.0147962 0.00498540i
\(501\) −1.53227 + 2.89017i −0.0684569 + 0.129123i
\(502\) 6.77508 12.7792i 0.302387 0.570362i
\(503\) 13.4919 4.54594i 0.601573 0.202693i −0.00200461 0.999998i \(-0.500638\pi\)
0.603577 + 0.797305i \(0.293742\pi\)
\(504\) −4.37676 + 5.15272i −0.194956 + 0.229520i
\(505\) −23.9353 + 11.0736i −1.06511 + 0.492771i
\(506\) −7.06396 3.26814i −0.314031 0.145286i
\(507\) 1.73335 + 2.04066i 0.0769808 + 0.0906288i
\(508\) −1.64030 0.986935i −0.0727765 0.0437882i
\(509\) −4.32395 + 0.470257i −0.191656 + 0.0208438i −0.203443 0.979087i \(-0.565213\pi\)
0.0117878 + 0.999931i \(0.496248\pi\)
\(510\) −1.98793 12.1258i −0.0880268 0.536940i
\(511\) −7.88202 + 7.46624i −0.348680 + 0.330287i
\(512\) −13.8342 4.66130i −0.611393 0.206002i
\(513\) −5.40319 + 3.25099i −0.238557 + 0.143535i
\(514\) 1.82726 1.38905i 0.0805971 0.0612684i
\(515\) −13.4789 33.8295i −0.593951 1.49071i
\(516\) 1.33669 + 1.97147i 0.0588445 + 0.0867891i
\(517\) 5.67061 34.5892i 0.249393 1.52123i
\(518\) −0.520386 + 9.59796i −0.0228645 + 0.421710i
\(519\) −10.0477 + 2.21166i −0.441043 + 0.0970809i
\(520\) 9.71574 24.3847i 0.426064 1.06934i
\(521\) −5.65561 20.3697i −0.247777 0.892411i −0.977896 0.209091i \(-0.932949\pi\)
0.730120 0.683319i \(-0.239464\pi\)
\(522\) 0.336669 + 6.20949i 0.0147356 + 0.271782i
\(523\) 22.7872 + 2.47826i 0.996414 + 0.108367i 0.591769 0.806107i \(-0.298430\pi\)
0.404645 + 0.914474i \(0.367395\pi\)
\(524\) −3.58086 2.72210i −0.156431 0.118915i
\(525\) 3.78615 13.6365i 0.165241 0.595144i
\(526\) −13.7716 3.03135i −0.600468 0.132173i
\(527\) 6.40125 9.44114i 0.278843 0.411263i
\(528\) 19.0446 + 18.0400i 0.828812 + 0.785092i
\(529\) −10.4065 19.6287i −0.452455 0.853420i
\(530\) 5.75115 0.249814
\(531\) 4.73039 + 6.05173i 0.205281 + 0.262623i
\(532\) 5.64050 0.244547
\(533\) −18.9784 35.7971i −0.822047 1.55055i
\(534\) 3.27271 + 3.10007i 0.141624 + 0.134153i
\(535\) −10.4041 + 15.3449i −0.449809 + 0.663419i
\(536\) 26.2731 + 5.78315i 1.13483 + 0.249794i
\(537\) −3.32766 + 11.9852i −0.143599 + 0.517198i
\(538\) −35.1615 26.7291i −1.51592 1.15237i
\(539\) 0.393449 + 0.0427902i 0.0169471 + 0.00184310i
\(540\) 0.0585216 + 1.07937i 0.00251837 + 0.0464485i
\(541\) −9.72940 35.0421i −0.418299 1.50658i −0.809969 0.586472i \(-0.800516\pi\)
0.391670 0.920106i \(-0.371898\pi\)
\(542\) 7.55480 18.9611i 0.324506 0.814450i
\(543\) −8.99880 + 1.98078i −0.386175 + 0.0850036i
\(544\) −0.255202 + 4.70693i −0.0109417 + 0.201808i
\(545\) −2.10734 + 12.8542i −0.0902687 + 0.550615i
\(546\) 7.32741 + 10.8071i 0.313584 + 0.462502i
\(547\) 6.59730 + 16.5580i 0.282080 + 0.707968i 0.999931 + 0.0117705i \(0.00374675\pi\)
−0.717851 + 0.696197i \(0.754874\pi\)
\(548\) 5.37826 4.08844i 0.229748 0.174650i
\(549\) 4.66977 2.80971i 0.199301 0.119916i
\(550\) −44.3594 14.9464i −1.89149 0.637318i
\(551\) −18.6248 + 17.6423i −0.793443 + 0.751589i
\(552\) −0.364108 2.22096i −0.0154975 0.0945305i
\(553\) −11.2324 + 1.22160i −0.477650 + 0.0519476i
\(554\) −5.76755 3.47022i −0.245040 0.147435i
\(555\) −4.91963 5.79184i −0.208827 0.245850i
\(556\) −4.84895 2.24336i −0.205641 0.0951398i
\(557\) 35.5518 16.4480i 1.50638 0.696925i 0.518924 0.854821i \(-0.326333\pi\)
0.987456 + 0.157895i \(0.0504708\pi\)
\(558\) −4.51136 + 5.31118i −0.190981 + 0.224840i
\(559\) −21.5557 + 7.26295i −0.911708 + 0.307190i
\(560\) −18.2446 + 34.4130i −0.770976 + 1.45421i
\(561\) −6.74247 + 12.7177i −0.284668 + 0.536940i
\(562\) −30.2676 + 10.1984i −1.27676 + 0.430192i
\(563\) −29.6796 + 34.9415i −1.25084 + 1.47261i −0.428579 + 0.903504i \(0.640986\pi\)
−0.822266 + 0.569104i \(0.807290\pi\)
\(564\) −1.86030 + 0.860665i −0.0783326 + 0.0362405i
\(565\) −24.2419 11.2155i −1.01987 0.471840i
\(566\) −3.24926 3.82532i −0.136576 0.160790i
\(567\) 2.27814 + 1.37071i 0.0956730 + 0.0575645i
\(568\) 38.9124 4.23198i 1.63273 0.177570i
\(569\) 3.98577 + 24.3121i 0.167092 + 1.01922i 0.928606 + 0.371068i \(0.121008\pi\)
−0.761514 + 0.648149i \(0.775543\pi\)
\(570\) −22.4830 + 21.2971i −0.941711 + 0.892036i
\(571\) 8.59257 + 2.89517i 0.359588 + 0.121159i 0.493296 0.869861i \(-0.335792\pi\)
−0.133708 + 0.991021i \(0.542688\pi\)
\(572\) 5.32856 3.20609i 0.222798 0.134053i
\(573\) 4.60203 3.49837i 0.192253 0.146147i
\(574\) 18.9695 + 47.6099i 0.791772 + 1.98720i
\(575\) 2.64391 + 3.89948i 0.110259 + 0.162619i
\(576\) −1.00945 + 6.15738i −0.0420604 + 0.256557i
\(577\) 0.722289 13.3218i 0.0300693 0.554595i −0.944223 0.329307i \(-0.893185\pi\)
0.974292 0.225288i \(-0.0723323\pi\)
\(578\) 16.0326 3.52904i 0.666867 0.146789i
\(579\) 1.18695 2.97903i 0.0493280 0.123804i
\(580\) 1.17650 + 4.23737i 0.0488515 + 0.175947i
\(581\) −2.13903 39.4521i −0.0887420 1.63675i
\(582\) −14.9612 1.62713i −0.620163 0.0674468i
\(583\) −5.36344 4.07718i −0.222131 0.168860i
\(584\) −2.77790 + 10.0051i −0.114950 + 0.414014i
\(585\) −10.0814 2.21909i −0.416815 0.0917480i
\(586\) −14.1538 + 20.8753i −0.584689 + 0.862351i
\(587\) −14.7883 14.0082i −0.610378 0.578181i 0.318796 0.947823i \(-0.396722\pi\)
−0.929174 + 0.369642i \(0.879480\pi\)
\(588\) −0.0108409 0.0204481i −0.000447072 0.000843267i
\(589\) −28.7481 −1.18454
\(590\) 29.0774 + 24.0318i 1.19710 + 0.989372i
\(591\) −3.07016 −0.126290
\(592\) 5.05157 + 9.52827i 0.207618 + 0.391609i
\(593\) 9.36604 + 8.87198i 0.384617 + 0.364329i 0.855443 0.517898i \(-0.173285\pi\)
−0.470825 + 0.882226i \(0.656044\pi\)
\(594\) 4.93502 7.27861i 0.202486 0.298645i
\(595\) −20.8733 4.59456i −0.855723 0.188359i
\(596\) −0.865416 + 3.11695i −0.0354488 + 0.127675i
\(597\) −16.8010 12.7718i −0.687620 0.522715i
\(598\) −4.32117 0.469955i −0.176706 0.0192179i
\(599\) 1.22210 + 22.5403i 0.0499337 + 0.920973i 0.910981 + 0.412448i \(0.135326\pi\)
−0.861047 + 0.508525i \(0.830191\pi\)
\(600\) −3.62110 13.0420i −0.147831 0.532439i
\(601\) −4.16331 + 10.4491i −0.169825 + 0.426229i −0.989114 0.147152i \(-0.952989\pi\)
0.819289 + 0.573381i \(0.194369\pi\)
\(602\) 28.0992 6.18511i 1.14524 0.252086i
\(603\) 0.572768 10.5641i 0.0233249 0.430203i
\(604\) −0.700141 + 4.27067i −0.0284883 + 0.173771i
\(605\) 39.8449 + 58.7669i 1.61993 + 2.38921i
\(606\) −4.64402 11.6556i −0.188650 0.473477i
\(607\) 22.6566 17.2231i 0.919603 0.699064i −0.0342260 0.999414i \(-0.510897\pi\)
0.953829 + 0.300350i \(0.0971035\pi\)
\(608\) 10.1797 6.12492i 0.412841 0.248398i
\(609\) 10.2503 + 3.45374i 0.415364 + 0.139953i
\(610\) 19.4313 18.4063i 0.786749 0.745248i
\(611\) −3.16679 19.3166i −0.128115 0.781464i
\(612\) 0.836837 0.0910115i 0.0338271 0.00367892i
\(613\) 36.5599 + 21.9974i 1.47664 + 0.888465i 0.999956 + 0.00939003i \(0.00298898\pi\)
0.476684 + 0.879075i \(0.341839\pi\)
\(614\) −28.1205 33.1060i −1.13485 1.33605i
\(615\) −36.7729 17.0130i −1.48283 0.686028i
\(616\) 35.3001 16.3316i 1.42228 0.658017i
\(617\) 10.5770 12.4522i 0.425813 0.501306i −0.506860 0.862028i \(-0.669194\pi\)
0.932673 + 0.360723i \(0.117470\pi\)
\(618\) 16.4178 5.53180i 0.660420 0.222521i
\(619\) 6.95762 13.1235i 0.279650 0.527476i −0.703404 0.710790i \(-0.748338\pi\)
0.983054 + 0.183314i \(0.0586824\pi\)
\(620\) −2.30833 + 4.35397i −0.0927048 + 0.174860i
\(621\) −0.838752 + 0.282608i −0.0336580 + 0.0113407i
\(622\) 1.86836 2.19961i 0.0749146 0.0881962i
\(623\) 7.11626 3.29233i 0.285107 0.131905i
\(624\) 13.2957 + 6.15124i 0.532253 + 0.246247i
\(625\) −15.0717 17.7437i −0.602866 0.709749i
\(626\) 17.3155 + 10.4184i 0.692066 + 0.416402i
\(627\) 36.0655 3.92236i 1.44032 0.156644i
\(628\) 0.675771 + 4.12202i 0.0269662 + 0.164487i
\(629\) −4.29626 + 4.06964i −0.171303 + 0.162267i
\(630\) 12.3738 + 4.16920i 0.492982 + 0.166105i
\(631\) 18.9351 11.3929i 0.753795 0.453543i −0.0861041 0.996286i \(-0.527442\pi\)
0.839899 + 0.542743i \(0.182614\pi\)
\(632\) −8.60268 + 6.53959i −0.342196 + 0.260131i
\(633\) 0.627683 + 1.57536i 0.0249481 + 0.0626151i
\(634\) −6.11131 9.01350i −0.242711 0.357972i
\(635\) 2.95763 18.0407i 0.117370 0.715925i
\(636\) −0.0213299 + 0.393407i −0.000845785 + 0.0155996i
\(637\) 0.215852 0.0475127i 0.00855238 0.00188252i
\(638\) 13.2422 33.2355i 0.524265 1.31581i
\(639\) −4.11808 14.8320i −0.162909 0.586744i
\(640\) 2.31442 + 42.6870i 0.0914855 + 1.68735i
\(641\) −3.05653 0.332418i −0.120726 0.0131297i 0.0475567 0.998869i \(-0.484857\pi\)
−0.168282 + 0.985739i \(0.553822\pi\)
\(642\) −7.02159 5.33768i −0.277120 0.210661i
\(643\) −8.61379 + 31.0241i −0.339695 + 1.22347i 0.574605 + 0.818431i \(0.305156\pi\)
−0.914299 + 0.405039i \(0.867258\pi\)
\(644\) 0.773190 + 0.170192i 0.0304680 + 0.00670651i
\(645\) −12.7652 + 18.8273i −0.502631 + 0.741325i
\(646\) 17.5083 + 16.5847i 0.688853 + 0.652516i
\(647\) 10.6699 + 20.1255i 0.419477 + 0.791217i 0.999730 0.0232188i \(-0.00739145\pi\)
−0.580254 + 0.814436i \(0.697047\pi\)
\(648\) 2.54282 0.0998916
\(649\) −10.0802 43.0256i −0.395684 1.68890i
\(650\) −26.1412 −1.02534
\(651\) 5.67759 + 10.7091i 0.222522 + 0.419722i
\(652\) −5.53667 5.24461i −0.216833 0.205395i
\(653\) 11.5868 17.0893i 0.453427 0.668755i −0.530426 0.847731i \(-0.677968\pi\)
0.983853 + 0.178976i \(0.0572785\pi\)
\(654\) −6.05209 1.33217i −0.236656 0.0520918i
\(655\) 11.4919 41.3901i 0.449026 1.61724i
\(656\) 45.7763 + 34.7983i 1.78727 + 1.35864i
\(657\) 4.05955 + 0.441502i 0.158378 + 0.0172246i
\(658\) 1.34046 + 24.7234i 0.0522567 + 0.963818i
\(659\) −4.45159 16.0332i −0.173409 0.624564i −0.998247 0.0591938i \(-0.981147\pi\)
0.824837 0.565371i \(-0.191267\pi\)
\(660\) 2.30184 5.77717i 0.0895989 0.224876i
\(661\) −29.0046 + 6.38440i −1.12815 + 0.248325i −0.739563 0.673087i \(-0.764968\pi\)
−0.388587 + 0.921412i \(0.627037\pi\)
\(662\) −2.10772 + 38.8747i −0.0819190 + 1.51091i
\(663\) −1.30051 + 7.93276i −0.0505077 + 0.308083i
\(664\) −21.2060 31.2765i −0.822953 1.21377i
\(665\) 19.9380 + 50.0405i 0.773161 + 1.94049i
\(666\) 2.87811 2.18788i 0.111525 0.0847788i
\(667\) −3.08538 + 1.85641i −0.119466 + 0.0718805i
\(668\) −1.04295 0.351412i −0.0403530 0.0135965i
\(669\) 6.13640 5.81271i 0.237247 0.224732i
\(670\) −8.40580 51.2731i −0.324744 1.98085i
\(671\) −31.1701 + 3.38995i −1.20331 + 0.130868i
\(672\) −4.29206 2.58245i −0.165570 0.0996200i
\(673\) 26.9920 + 31.7774i 1.04046 + 1.22493i 0.973860 + 0.227150i \(0.0729409\pi\)
0.0666051 + 0.997779i \(0.478783\pi\)
\(674\) 2.79818 + 1.29457i 0.107782 + 0.0498652i
\(675\) −4.83101 + 2.23506i −0.185946 + 0.0860276i
\(676\) −0.583163 + 0.686553i −0.0224294 + 0.0264059i
\(677\) 4.38747 1.47831i 0.168624 0.0568161i −0.233723 0.972303i \(-0.575091\pi\)
0.402347 + 0.915487i \(0.368194\pi\)
\(678\) 5.95228 11.2272i 0.228596 0.431178i
\(679\) −12.2614 + 23.1275i −0.470551 + 0.887553i
\(680\) −19.3713 + 6.52695i −0.742855 + 0.250297i
\(681\) 1.36911 1.61184i 0.0524644 0.0617659i
\(682\) 36.3857 16.8338i 1.39328 0.644600i
\(683\) 30.3671 + 14.0493i 1.16197 + 0.537583i 0.903564 0.428454i \(-0.140942\pi\)
0.258403 + 0.966037i \(0.416804\pi\)
\(684\) −1.37344 1.61694i −0.0525147 0.0618251i
\(685\) 55.2822 + 33.2622i 2.11222 + 1.27088i
\(686\) 28.0030 3.04551i 1.06916 0.116278i
\(687\) 3.81063 + 23.2438i 0.145385 + 0.886807i
\(688\) 23.4362 22.2000i 0.893498 0.846366i
\(689\) −3.56548 1.20135i −0.135834 0.0457678i
\(690\) −3.72454 + 2.24098i −0.141791 + 0.0853126i
\(691\) −20.8011 + 15.8126i −0.791312 + 0.601540i −0.920797 0.390042i \(-0.872461\pi\)
0.129485 + 0.991581i \(0.458668\pi\)
\(692\) −1.28117 3.21549i −0.0487027 0.122235i
\(693\) −8.58390 12.6603i −0.326075 0.480925i
\(694\) −3.74545 + 22.8462i −0.142175 + 0.867231i
\(695\) 2.76232 50.9479i 0.104781 1.93257i
\(696\) 10.1032 2.22388i 0.382960 0.0842959i
\(697\) −11.6788 + 29.3115i −0.442365 + 1.11025i
\(698\) −6.07799 21.8910i −0.230055 0.828585i
\(699\) −0.367449 6.77719i −0.0138982 0.256337i
\(700\) 4.73345 + 0.514794i 0.178908 + 0.0194574i
\(701\) 4.58204 + 3.48318i 0.173061 + 0.131558i 0.688119 0.725597i \(-0.258437\pi\)
−0.515058 + 0.857155i \(0.672230\pi\)
\(702\) 1.31383 4.73200i 0.0495874 0.178598i
\(703\) 14.5658 + 3.20617i 0.549359 + 0.120923i
\(704\) 20.1450 29.7116i 0.759242 1.11980i
\(705\) −14.2112 13.4616i −0.535226 0.506993i
\(706\) 17.8437 + 33.6568i 0.671556 + 1.26669i
\(707\) −21.8236 −0.820760
\(708\) −1.75173 + 1.89991i −0.0658341 + 0.0714028i
\(709\) 20.4953 0.769716 0.384858 0.922976i \(-0.374250\pi\)
0.384858 + 0.922976i \(0.374250\pi\)
\(710\) −35.4103 66.7909i −1.32892 2.50662i
\(711\) 3.08523 + 2.92248i 0.115705 + 0.109602i
\(712\) 4.20843 6.20697i 0.157718 0.232616i
\(713\) −3.94073 0.867421i −0.147582 0.0324852i
\(714\) 2.72026 9.79748i 0.101803 0.366661i
\(715\) 47.2785 + 35.9402i 1.76812 + 1.34409i
\(716\) −4.16026 0.452455i −0.155476 0.0169090i
\(717\) −0.519251 9.57703i −0.0193918 0.357661i
\(718\) 4.44549 + 16.0112i 0.165904 + 0.597533i
\(719\) 2.52687 6.34197i 0.0942364 0.236516i −0.874301 0.485385i \(-0.838680\pi\)
0.968537 + 0.248869i \(0.0800589\pi\)
\(720\) 14.3075 3.14931i 0.533208 0.117368i
\(721\) 1.63144 30.0901i 0.0607579 1.12061i
\(722\) 5.13458 31.3195i 0.191089 1.16559i
\(723\) 4.16375 + 6.14107i 0.154851 + 0.228389i
\(724\) −1.14743 2.87983i −0.0426439 0.107028i
\(725\) −17.2399 + 13.1054i −0.640274 + 0.486724i
\(726\) −28.9433 + 17.4146i −1.07419 + 0.646317i
\(727\) −33.4903 11.2842i −1.24209 0.418507i −0.379866 0.925042i \(-0.624030\pi\)
−0.862220 + 0.506534i \(0.830926\pi\)
\(728\) 15.7694 14.9376i 0.584454 0.553624i
\(729\) −0.161782 0.986827i −0.00599193 0.0365491i
\(730\) 19.9369 2.16827i 0.737897 0.0802511i
\(731\) 15.1781 + 9.13237i 0.561383 + 0.337773i
\(732\) 1.18701 + 1.39746i 0.0438732 + 0.0516515i
\(733\) 5.21119 + 2.41095i 0.192480 + 0.0890506i 0.513762 0.857933i \(-0.328252\pi\)
−0.321282 + 0.946984i \(0.604114\pi\)
\(734\) −42.6093 + 19.7132i −1.57274 + 0.727627i
\(735\) 0.143088 0.168456i 0.00527789 0.00621361i
\(736\) 1.58022 0.532439i 0.0582478 0.0196260i
\(737\) −28.5101 + 53.7757i −1.05018 + 1.98085i
\(738\) 9.02910 17.0307i 0.332366 0.626908i
\(739\) −1.33483 + 0.449756i −0.0491025 + 0.0165446i −0.343746 0.939063i \(-0.611696\pi\)
0.294643 + 0.955607i \(0.404799\pi\)
\(740\) 1.65515 1.94859i 0.0608444 0.0716316i
\(741\) 18.3873 8.50686i 0.675474 0.312507i
\(742\) 4.31924 + 1.99829i 0.158564 + 0.0733597i
\(743\) 4.07308 + 4.79521i 0.149427 + 0.175919i 0.831783 0.555101i \(-0.187320\pi\)
−0.682356 + 0.731020i \(0.739045\pi\)
\(744\) 9.93326 + 5.97664i 0.364171 + 0.219114i
\(745\) −30.7115 + 3.34007i −1.12518 + 0.122371i
\(746\) −8.03259 48.9966i −0.294094 1.79389i
\(747\) −10.7887 + 10.2196i −0.394738 + 0.373916i
\(748\) −4.58931 1.54632i −0.167802 0.0565391i
\(749\) −13.1455 + 7.90936i −0.480325 + 0.289002i
\(750\) −1.26276 + 0.959927i −0.0461095 + 0.0350516i
\(751\) 4.25358 + 10.6757i 0.155215 + 0.389561i 0.985935 0.167130i \(-0.0534500\pi\)
−0.830720 + 0.556691i \(0.812071\pi\)
\(752\) 15.5897 + 22.9931i 0.568498 + 0.838472i
\(753\) −1.53089 + 9.33799i −0.0557886 + 0.340295i
\(754\) 1.08167 19.9503i 0.0393922 0.726546i
\(755\) −40.3627 + 8.88450i −1.46895 + 0.323340i
\(756\) −0.331086 + 0.830962i −0.0120415 + 0.0302218i
\(757\) 7.28416 + 26.2352i 0.264747 + 0.953534i 0.969704 + 0.244283i \(0.0785527\pi\)
−0.704956 + 0.709251i \(0.749033\pi\)
\(758\) 1.99719 + 36.8359i 0.0725411 + 1.33794i
\(759\) 5.06215 + 0.550542i 0.183744 + 0.0199834i
\(760\) 41.0133 + 31.1775i 1.48771 + 1.13093i
\(761\) −5.12787 + 18.4689i −0.185885 + 0.669498i 0.810590 + 0.585614i \(0.199146\pi\)
−0.996476 + 0.0838842i \(0.973267\pi\)
\(762\) 8.49403 + 1.86968i 0.307706 + 0.0677312i
\(763\) −6.04899 + 8.92159i −0.218988 + 0.322983i
\(764\) 1.41196 + 1.33748i 0.0510830 + 0.0483884i
\(765\) 3.76546 + 7.10241i 0.136140 + 0.256788i
\(766\) 2.18519 0.0789540
\(767\) −13.0068 20.9726i −0.469650 0.757278i
\(768\) −7.85881 −0.283581
\(769\) 0.264821 + 0.499505i 0.00954968 + 0.0180126i 0.888241 0.459378i \(-0.151928\pi\)
−0.878691 + 0.477390i \(0.841583\pi\)
\(770\) −54.5369 51.6601i −1.96537 1.86170i
\(771\) −0.842690 + 1.24288i −0.0303487 + 0.0447611i
\(772\) 1.05366 + 0.231927i 0.0379219 + 0.00834725i