Properties

Label 637.2.bl.b.53.21
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.21
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41482 + 0.964607i) q^{2} +(1.37614 + 1.27687i) q^{3} +(0.340562 + 0.867738i) q^{4} +(3.26900 - 1.00835i) q^{5} +(0.715311 + 3.13398i) q^{6} +(-0.397118 + 2.61578i) q^{7} +(0.406879 - 1.78265i) q^{8} +(0.0391717 + 0.522709i) q^{9} +O(q^{10})\) \(q+(1.41482 + 0.964607i) q^{2} +(1.37614 + 1.27687i) q^{3} +(0.340562 + 0.867738i) q^{4} +(3.26900 - 1.00835i) q^{5} +(0.715311 + 3.13398i) q^{6} +(-0.397118 + 2.61578i) q^{7} +(0.406879 - 1.78265i) q^{8} +(0.0391717 + 0.522709i) q^{9} +(5.59770 + 1.72666i) q^{10} +(0.0906847 - 1.21010i) q^{11} +(-0.639330 + 1.62899i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-3.08505 + 3.31779i) q^{14} +(5.78615 + 2.78646i) q^{15} +(3.66189 - 3.39773i) q^{16} +(-6.85517 + 1.03325i) q^{17} +(-0.448788 + 0.777324i) q^{18} +(-1.96502 - 3.40352i) q^{19} +(1.98828 + 2.49323i) q^{20} +(-3.88651 + 3.09262i) q^{21} +(1.29558 - 1.62460i) q^{22} +(-5.83911 - 0.880104i) q^{23} +(2.83615 - 1.93365i) q^{24} +(5.53839 - 3.77601i) q^{25} +(-1.69323 - 0.255214i) q^{26} +(2.89786 - 3.63381i) q^{27} +(-2.40505 + 0.546241i) q^{28} +(3.59423 + 4.50702i) q^{29} +(5.49851 + 9.52370i) q^{30} +(-1.66935 + 2.89140i) q^{31} +(4.84223 - 0.729849i) q^{32} +(1.66994 - 1.54948i) q^{33} +(-10.6955 - 5.15068i) q^{34} +(1.33945 + 8.95142i) q^{35} +(-0.440234 + 0.212006i) q^{36} +(-2.51627 + 6.41134i) q^{37} +(0.502907 - 6.71083i) q^{38} +(-1.79388 - 0.553338i) q^{39} +(-0.467457 - 6.23778i) q^{40} +(-2.12276 + 9.30042i) q^{41} +(-8.48186 + 0.626535i) q^{42} +(0.0222504 + 0.0974853i) q^{43} +(1.08094 - 0.333425i) q^{44} +(0.655128 + 1.66924i) q^{45} +(-7.41232 - 6.87763i) q^{46} +(-5.39605 - 3.67897i) q^{47} +9.37776 q^{48} +(-6.68459 - 2.07754i) q^{49} +11.4782 q^{50} +(-10.7530 - 7.33129i) q^{51} +(-0.683333 - 0.634041i) q^{52} +(-1.27733 - 3.25459i) q^{53} +(7.60514 - 2.34588i) q^{54} +(-0.923763 - 4.04727i) q^{55} +(4.50145 + 1.77223i) q^{56} +(1.64171 - 7.19281i) q^{57} +(0.737678 + 9.84362i) q^{58} +(8.95958 + 2.76367i) q^{59} +(-0.447377 + 5.96983i) q^{60} +(-2.52102 + 6.42346i) q^{61} +(-5.15089 + 2.48054i) q^{62} +(-1.38285 - 0.105113i) q^{63} +(-1.44651 - 0.696603i) q^{64} +(-2.50776 + 2.32686i) q^{65} +(3.85731 - 0.581395i) q^{66} +(0.369527 - 0.640039i) q^{67} +(-3.23120 - 5.59661i) q^{68} +(-6.91166 - 8.66695i) q^{69} +(-6.73952 + 13.9567i) q^{70} +(6.90852 - 8.66301i) q^{71} +(0.947748 + 0.142850i) q^{72} +(0.731305 - 0.498595i) q^{73} +(-9.74448 + 6.64367i) q^{74} +(12.4431 + 1.87550i) q^{75} +(2.28415 - 2.86423i) q^{76} +(3.12935 + 0.717765i) q^{77} +(-2.00426 - 2.51326i) q^{78} +(-5.42120 - 9.38979i) q^{79} +(8.54459 - 14.7997i) q^{80} +(10.1827 - 1.53480i) q^{81} +(-11.9746 + 11.1108i) q^{82} +(6.92944 + 3.33704i) q^{83} +(-4.00718 - 2.31924i) q^{84} +(-21.3677 + 10.2901i) q^{85} +(-0.0625547 + 0.159387i) q^{86} +(-0.808724 + 10.7917i) q^{87} +(-2.12030 - 0.654025i) q^{88} +(0.337221 + 4.49990i) q^{89} +(-0.683272 + 2.99361i) q^{90} +(-0.777153 - 2.52904i) q^{91} +(-1.22488 - 5.36655i) q^{92} +(-5.98921 + 1.84743i) q^{93} +(-4.08568 - 10.4101i) q^{94} +(-9.85561 - 9.14467i) q^{95} +(7.59552 + 5.17854i) q^{96} +15.9292 q^{97} +(-7.45347 - 9.38735i) q^{98} +0.636085 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41482 + 0.964607i 1.00043 + 0.682080i 0.948568 0.316575i \(-0.102533\pi\)
0.0518598 + 0.998654i \(0.483485\pi\)
\(3\) 1.37614 + 1.27687i 0.794516 + 0.737203i 0.968894 0.247475i \(-0.0796009\pi\)
−0.174378 + 0.984679i \(0.555791\pi\)
\(4\) 0.340562 + 0.867738i 0.170281 + 0.433869i
\(5\) 3.26900 1.00835i 1.46194 0.450949i 0.541124 0.840943i \(-0.317999\pi\)
0.920818 + 0.389994i \(0.127523\pi\)
\(6\) 0.715311 + 3.13398i 0.292024 + 1.27944i
\(7\) −0.397118 + 2.61578i −0.150096 + 0.988671i
\(8\) 0.406879 1.78265i 0.143854 0.630264i
\(9\) 0.0391717 + 0.522709i 0.0130572 + 0.174236i
\(10\) 5.59770 + 1.72666i 1.77015 + 0.546019i
\(11\) 0.0906847 1.21010i 0.0273425 0.364860i −0.966704 0.255899i \(-0.917629\pi\)
0.994046 0.108961i \(-0.0347524\pi\)
\(12\) −0.639330 + 1.62899i −0.184559 + 0.470248i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −3.08505 + 3.31779i −0.824513 + 0.886716i
\(15\) 5.78615 + 2.78646i 1.49398 + 0.719462i
\(16\) 3.66189 3.39773i 0.915472 0.849434i
\(17\) −6.85517 + 1.03325i −1.66262 + 0.250600i −0.912018 0.410150i \(-0.865476\pi\)
−0.750606 + 0.660750i \(0.770238\pi\)
\(18\) −0.448788 + 0.777324i −0.105780 + 0.183217i
\(19\) −1.96502 3.40352i −0.450807 0.780821i 0.547629 0.836721i \(-0.315530\pi\)
−0.998436 + 0.0559004i \(0.982197\pi\)
\(20\) 1.98828 + 2.49323i 0.444594 + 0.557503i
\(21\) −3.88651 + 3.09262i −0.848106 + 0.674864i
\(22\) 1.29558 1.62460i 0.276218 0.346366i
\(23\) −5.83911 0.880104i −1.21754 0.183514i −0.491320 0.870979i \(-0.663486\pi\)
−0.726218 + 0.687465i \(0.758724\pi\)
\(24\) 2.83615 1.93365i 0.578927 0.394705i
\(25\) 5.53839 3.77601i 1.10768 0.755203i
\(26\) −1.69323 0.255214i −0.332071 0.0500516i
\(27\) 2.89786 3.63381i 0.557694 0.699326i
\(28\) −2.40505 + 0.546241i −0.454512 + 0.103230i
\(29\) 3.59423 + 4.50702i 0.667431 + 0.836932i 0.994130 0.108197i \(-0.0345076\pi\)
−0.326698 + 0.945129i \(0.605936\pi\)
\(30\) 5.49851 + 9.52370i 1.00389 + 1.73878i
\(31\) −1.66935 + 2.89140i −0.299824 + 0.519310i −0.976095 0.217342i \(-0.930261\pi\)
0.676272 + 0.736652i \(0.263595\pi\)
\(32\) 4.84223 0.729849i 0.855993 0.129020i
\(33\) 1.66994 1.54948i 0.290700 0.269730i
\(34\) −10.6955 5.15068i −1.83426 0.883335i
\(35\) 1.33945 + 8.95142i 0.226408 + 1.51307i
\(36\) −0.440234 + 0.212006i −0.0733724 + 0.0353343i
\(37\) −2.51627 + 6.41134i −0.413671 + 1.05402i 0.560489 + 0.828162i \(0.310613\pi\)
−0.974161 + 0.225856i \(0.927482\pi\)
\(38\) 0.502907 6.71083i 0.0815823 1.08864i
\(39\) −1.79388 0.553338i −0.287250 0.0886049i
\(40\) −0.467457 6.23778i −0.0739114 0.986279i
\(41\) −2.12276 + 9.30042i −0.331519 + 1.45248i 0.484670 + 0.874697i \(0.338940\pi\)
−0.816190 + 0.577784i \(0.803918\pi\)
\(42\) −8.48186 + 0.626535i −1.30878 + 0.0966764i
\(43\) 0.0222504 + 0.0974853i 0.00339315 + 0.0148664i 0.976596 0.215081i \(-0.0690016\pi\)
−0.973203 + 0.229948i \(0.926145\pi\)
\(44\) 1.08094 0.333425i 0.162957 0.0502657i
\(45\) 0.655128 + 1.66924i 0.0976607 + 0.248835i
\(46\) −7.41232 6.87763i −1.09289 1.01405i
\(47\) −5.39605 3.67897i −0.787095 0.536632i 0.101766 0.994808i \(-0.467551\pi\)
−0.888862 + 0.458176i \(0.848503\pi\)
\(48\) 9.37776 1.35356
\(49\) −6.68459 2.07754i −0.954942 0.296792i
\(50\) 11.4782 1.62326
\(51\) −10.7530 7.33129i −1.50573 1.02659i
\(52\) −0.683333 0.634041i −0.0947613 0.0879256i
\(53\) −1.27733 3.25459i −0.175455 0.447053i 0.815911 0.578178i \(-0.196236\pi\)
−0.991366 + 0.131126i \(0.958141\pi\)
\(54\) 7.60514 2.34588i 1.03493 0.319233i
\(55\) −0.923763 4.04727i −0.124560 0.545734i
\(56\) 4.50145 + 1.77223i 0.601532 + 0.236824i
\(57\) 1.64171 7.19281i 0.217450 0.952711i
\(58\) 0.737678 + 9.84362i 0.0968618 + 1.29253i
\(59\) 8.95958 + 2.76367i 1.16644 + 0.359799i 0.816708 0.577052i \(-0.195797\pi\)
0.349731 + 0.936850i \(0.386273\pi\)
\(60\) −0.447377 + 5.96983i −0.0577561 + 0.770701i
\(61\) −2.52102 + 6.42346i −0.322784 + 0.822439i 0.673727 + 0.738980i \(0.264692\pi\)
−0.996511 + 0.0834595i \(0.973403\pi\)
\(62\) −5.15089 + 2.48054i −0.654163 + 0.315028i
\(63\) −1.38285 0.105113i −0.174222 0.0132430i
\(64\) −1.44651 0.696603i −0.180814 0.0870753i
\(65\) −2.50776 + 2.32686i −0.311049 + 0.288612i
\(66\) 3.85731 0.581395i 0.474802 0.0715648i
\(67\) 0.369527 0.640039i 0.0451449 0.0781932i −0.842570 0.538587i \(-0.818958\pi\)
0.887715 + 0.460394i \(0.152292\pi\)
\(68\) −3.23120 5.59661i −0.391841 0.678689i
\(69\) −6.91166 8.66695i −0.832067 1.04338i
\(70\) −6.73952 + 13.9567i −0.805526 + 1.66814i
\(71\) 6.90852 8.66301i 0.819890 1.02811i −0.179129 0.983826i \(-0.557328\pi\)
0.999019 0.0442844i \(-0.0141008\pi\)
\(72\) 0.947748 + 0.142850i 0.111693 + 0.0168350i
\(73\) 0.731305 0.498595i 0.0855927 0.0583561i −0.519768 0.854308i \(-0.673981\pi\)
0.605360 + 0.795952i \(0.293029\pi\)
\(74\) −9.74448 + 6.64367i −1.13277 + 0.772311i
\(75\) 12.4431 + 1.87550i 1.43681 + 0.216564i
\(76\) 2.28415 2.86423i 0.262010 0.328550i
\(77\) 3.12935 + 0.717765i 0.356622 + 0.0817969i
\(78\) −2.00426 2.51326i −0.226937 0.284570i
\(79\) −5.42120 9.38979i −0.609932 1.05643i −0.991251 0.131990i \(-0.957863\pi\)
0.381319 0.924444i \(-0.375470\pi\)
\(80\) 8.54459 14.7997i 0.955315 1.65465i
\(81\) 10.1827 1.53480i 1.13142 0.170534i
\(82\) −11.9746 + 11.1108i −1.32237 + 1.22698i
\(83\) 6.92944 + 3.33704i 0.760605 + 0.366288i 0.773639 0.633627i \(-0.218435\pi\)
−0.0130336 + 0.999915i \(0.504149\pi\)
\(84\) −4.00718 2.31924i −0.437219 0.253050i
\(85\) −21.3677 + 10.2901i −2.31765 + 1.11612i
\(86\) −0.0625547 + 0.159387i −0.00674545 + 0.0171871i
\(87\) −0.808724 + 10.7917i −0.0867043 + 1.15699i
\(88\) −2.12030 0.654025i −0.226025 0.0697193i
\(89\) 0.337221 + 4.49990i 0.0357454 + 0.476989i 0.986137 + 0.165933i \(0.0530635\pi\)
−0.950392 + 0.311056i \(0.899317\pi\)
\(90\) −0.683272 + 2.99361i −0.0720232 + 0.315554i
\(91\) −0.777153 2.52904i −0.0814678 0.265115i
\(92\) −1.22488 5.36655i −0.127702 0.559501i
\(93\) −5.98921 + 1.84743i −0.621052 + 0.191569i
\(94\) −4.08568 10.4101i −0.421405 1.07372i
\(95\) −9.85561 9.14467i −1.01116 0.938223i
\(96\) 7.59552 + 5.17854i 0.775215 + 0.528532i
\(97\) 15.9292 1.61736 0.808681 0.588248i \(-0.200182\pi\)
0.808681 + 0.588248i \(0.200182\pi\)
\(98\) −7.45347 9.38735i −0.752914 0.948266i
\(99\) 0.636085 0.0639289
\(100\) 5.16276 + 3.51991i 0.516276 + 0.351991i
\(101\) 6.21269 + 5.76453i 0.618185 + 0.573592i 0.925845 0.377904i \(-0.123355\pi\)
−0.307659 + 0.951497i \(0.599546\pi\)
\(102\) −8.14177 20.7449i −0.806155 2.05405i
\(103\) 9.64130 2.97395i 0.949986 0.293032i 0.219232 0.975673i \(-0.429645\pi\)
0.730754 + 0.682641i \(0.239169\pi\)
\(104\) 0.406879 + 1.78265i 0.0398978 + 0.174804i
\(105\) −9.58655 + 14.0287i −0.935552 + 1.36906i
\(106\) 1.33221 5.83678i 0.129395 0.566918i
\(107\) −0.183539 2.44916i −0.0177434 0.236769i −0.999023 0.0441831i \(-0.985931\pi\)
0.981280 0.192586i \(-0.0616876\pi\)
\(108\) 4.14009 + 1.27705i 0.398381 + 0.122884i
\(109\) 0.421036 5.61833i 0.0403279 0.538139i −0.940053 0.341028i \(-0.889225\pi\)
0.980381 0.197111i \(-0.0631559\pi\)
\(110\) 2.59707 6.61722i 0.247621 0.630927i
\(111\) −11.6492 + 5.60996i −1.10569 + 0.532474i
\(112\) 7.43352 + 10.9280i 0.702402 + 1.03260i
\(113\) 14.3948 + 6.93215i 1.35415 + 0.652122i 0.963323 0.268344i \(-0.0864763\pi\)
0.390823 + 0.920466i \(0.372191\pi\)
\(114\) 9.26096 8.59291i 0.867368 0.804800i
\(115\) −19.9755 + 3.01082i −1.86273 + 0.280761i
\(116\) −2.68685 + 4.65377i −0.249468 + 0.432091i
\(117\) −0.262088 0.453949i −0.0242300 0.0419676i
\(118\) 10.0103 + 12.5526i 0.921525 + 1.15556i
\(119\) 0.0195550 18.3419i 0.00179260 1.68140i
\(120\) 7.32157 9.18095i 0.668365 0.838103i
\(121\) 9.42101 + 1.41999i 0.856456 + 0.129090i
\(122\) −9.76290 + 6.65623i −0.883891 + 0.602627i
\(123\) −14.7967 + 10.0882i −1.33417 + 0.909623i
\(124\) −3.07749 0.463857i −0.276367 0.0416556i
\(125\) 3.63271 4.55527i 0.324919 0.407436i
\(126\) −1.85509 1.48262i −0.165264 0.132082i
\(127\) −5.13103 6.43410i −0.455305 0.570934i 0.500200 0.865910i \(-0.333260\pi\)
−0.955505 + 0.294976i \(0.904688\pi\)
\(128\) −6.27152 10.8626i −0.554330 0.960127i
\(129\) −0.0938568 + 0.162565i −0.00826363 + 0.0143130i
\(130\) −5.79253 + 0.873083i −0.508038 + 0.0765745i
\(131\) −2.95664 + 2.74336i −0.258323 + 0.239688i −0.798693 0.601739i \(-0.794475\pi\)
0.540370 + 0.841427i \(0.318284\pi\)
\(132\) 1.91326 + 0.921379i 0.166528 + 0.0801958i
\(133\) 9.68319 3.78847i 0.839639 0.328502i
\(134\) 1.14020 0.549091i 0.0984982 0.0474342i
\(135\) 5.80896 14.8010i 0.499956 1.27387i
\(136\) −0.947298 + 12.6408i −0.0812302 + 1.08394i
\(137\) −3.42075 1.05516i −0.292254 0.0901484i 0.145161 0.989408i \(-0.453630\pi\)
−0.437415 + 0.899260i \(0.644106\pi\)
\(138\) −1.41855 18.9292i −0.120755 1.61136i
\(139\) 4.13959 18.1367i 0.351116 1.53834i −0.423494 0.905899i \(-0.639197\pi\)
0.774610 0.632439i \(-0.217946\pi\)
\(140\) −7.31132 + 4.21080i −0.617919 + 0.355878i
\(141\) −2.72816 11.9529i −0.229753 1.00661i
\(142\) 18.1307 5.59258i 1.52149 0.469319i
\(143\) 0.443340 + 1.12961i 0.0370740 + 0.0944629i
\(144\) 1.91947 + 1.78101i 0.159956 + 0.148417i
\(145\) 16.2942 + 11.1092i 1.35316 + 0.922568i
\(146\) 1.51561 0.125433
\(147\) −6.54619 11.3944i −0.539921 0.939793i
\(148\) −6.42031 −0.527746
\(149\) 9.03823 + 6.16216i 0.740441 + 0.504824i 0.873825 0.486241i \(-0.161632\pi\)
−0.133384 + 0.991064i \(0.542584\pi\)
\(150\) 15.7956 + 14.6562i 1.28971 + 1.19667i
\(151\) −3.15802 8.04651i −0.256996 0.654816i 0.742897 0.669405i \(-0.233451\pi\)
−0.999894 + 0.0145895i \(0.995356\pi\)
\(152\) −6.86682 + 2.11813i −0.556973 + 0.171803i
\(153\) −0.808619 3.54279i −0.0653729 0.286418i
\(154\) 3.73510 + 4.03410i 0.300983 + 0.325077i
\(155\) −2.54155 + 11.1353i −0.204142 + 0.894406i
\(156\) −0.130774 1.74506i −0.0104703 0.139717i
\(157\) −0.729716 0.225088i −0.0582377 0.0179639i 0.265499 0.964111i \(-0.414463\pi\)
−0.323737 + 0.946147i \(0.604939\pi\)
\(158\) 1.38744 18.5142i 0.110379 1.47291i
\(159\) 2.39791 6.10978i 0.190167 0.484537i
\(160\) 15.0933 7.26855i 1.19323 0.574629i
\(161\) 4.62097 14.9243i 0.364184 1.17620i
\(162\) 15.8872 + 7.65088i 1.24822 + 0.601110i
\(163\) 8.96191 8.31544i 0.701951 0.651315i −0.246169 0.969227i \(-0.579172\pi\)
0.948120 + 0.317911i \(0.102981\pi\)
\(164\) −8.79326 + 1.32537i −0.686638 + 0.103494i
\(165\) 3.89662 6.74915i 0.303352 0.525421i
\(166\) 6.58497 + 11.4055i 0.511092 + 0.885238i
\(167\) −0.709397 0.889556i −0.0548948 0.0688359i 0.753626 0.657303i \(-0.228303\pi\)
−0.808521 + 0.588467i \(0.799732\pi\)
\(168\) 3.93172 + 8.18663i 0.303339 + 0.631612i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −40.1573 6.05274i −3.07993 0.464224i
\(171\) 1.70208 1.16046i 0.130161 0.0887424i
\(172\) −0.0770141 + 0.0525073i −0.00587227 + 0.00400365i
\(173\) −21.4662 3.23550i −1.63204 0.245991i −0.731844 0.681473i \(-0.761340\pi\)
−0.900197 + 0.435482i \(0.856578\pi\)
\(174\) −11.5539 + 14.4882i −0.875900 + 1.09834i
\(175\) 7.67782 + 15.9867i 0.580389 + 1.20848i
\(176\) −3.77953 4.73938i −0.284893 0.357244i
\(177\) 8.80081 + 15.2435i 0.661509 + 1.14577i
\(178\) −3.86353 + 6.69183i −0.289584 + 0.501574i
\(179\) −4.39552 + 0.662517i −0.328536 + 0.0495189i −0.311239 0.950332i \(-0.600744\pi\)
−0.0172968 + 0.999850i \(0.505506\pi\)
\(180\) −1.22535 + 1.13696i −0.0913322 + 0.0847439i
\(181\) 20.9968 + 10.1115i 1.56068 + 0.751585i 0.997217 0.0745543i \(-0.0237534\pi\)
0.563466 + 0.826139i \(0.309468\pi\)
\(182\) 1.34000 4.32778i 0.0993272 0.320796i
\(183\) −11.6712 + 5.62057i −0.862762 + 0.415484i
\(184\) −3.94473 + 10.0510i −0.290810 + 0.740971i
\(185\) −1.76078 + 23.4960i −0.129455 + 1.72746i
\(186\) −10.2557 3.16346i −0.751983 0.231956i
\(187\) 0.628681 + 8.38917i 0.0459737 + 0.613477i
\(188\) 1.35469 5.93528i 0.0988008 0.432874i
\(189\) 8.35444 + 9.02322i 0.607696 + 0.656343i
\(190\) −5.12288 22.4448i −0.371653 1.62832i
\(191\) 10.5033 3.23984i 0.759991 0.234426i 0.109549 0.993981i \(-0.465059\pi\)
0.650443 + 0.759555i \(0.274583\pi\)
\(192\) −1.10113 2.80564i −0.0794673 0.202479i
\(193\) −16.1010 14.9395i −1.15897 1.07537i −0.996056 0.0887306i \(-0.971719\pi\)
−0.162918 0.986640i \(-0.552091\pi\)
\(194\) 22.5369 + 15.3654i 1.61805 + 1.10317i
\(195\) −6.42214 −0.459899
\(196\) −0.473755 6.50801i −0.0338397 0.464858i
\(197\) −23.2300 −1.65507 −0.827536 0.561413i \(-0.810258\pi\)
−0.827536 + 0.561413i \(0.810258\pi\)
\(198\) 0.899944 + 0.613571i 0.0639562 + 0.0436046i
\(199\) 18.8257 + 17.4677i 1.33452 + 1.23825i 0.948893 + 0.315598i \(0.102205\pi\)
0.385627 + 0.922655i \(0.373985\pi\)
\(200\) −4.47787 11.4094i −0.316633 0.806768i
\(201\) 1.32577 0.408946i 0.0935126 0.0288448i
\(202\) 3.22932 + 14.1486i 0.227214 + 0.995489i
\(203\) −13.2167 + 7.61188i −0.927630 + 0.534249i
\(204\) 2.69957 11.8276i 0.189007 0.828096i
\(205\) 2.43880 + 32.5436i 0.170333 + 2.27294i
\(206\) 16.5094 + 5.09247i 1.15026 + 0.354809i
\(207\) 0.231311 3.08663i 0.0160772 0.214536i
\(208\) −1.82502 + 4.65009i −0.126543 + 0.322425i
\(209\) −4.29681 + 2.06923i −0.297216 + 0.143132i
\(210\) −27.0954 + 10.6009i −1.86976 + 0.731528i
\(211\) −5.58313 2.68869i −0.384359 0.185097i 0.231719 0.972783i \(-0.425565\pi\)
−0.616078 + 0.787685i \(0.711279\pi\)
\(212\) 2.38912 2.21678i 0.164086 0.152249i
\(213\) 20.5687 3.10023i 1.40934 0.212424i
\(214\) 2.10280 3.64216i 0.143745 0.248973i
\(215\) 0.171036 + 0.296243i 0.0116646 + 0.0202036i
\(216\) −5.29874 6.64441i −0.360534 0.452095i
\(217\) −6.90033 5.51487i −0.468425 0.374374i
\(218\) 6.01517 7.54278i 0.407399 0.510862i
\(219\) 1.64302 + 0.247646i 0.111025 + 0.0167343i
\(220\) 3.19737 2.17993i 0.215567 0.146971i
\(221\) 5.72799 3.90528i 0.385306 0.262697i
\(222\) −21.8929 3.29983i −1.46936 0.221470i
\(223\) 1.04790 1.31403i 0.0701728 0.0879939i −0.745506 0.666499i \(-0.767792\pi\)
0.815679 + 0.578505i \(0.196364\pi\)
\(224\) −0.0138129 + 12.9560i −0.000922911 + 0.865661i
\(225\) 2.19071 + 2.74706i 0.146047 + 0.183137i
\(226\) 13.6792 + 23.6930i 0.909925 + 1.57604i
\(227\) 7.79474 13.5009i 0.517355 0.896085i −0.482442 0.875928i \(-0.660250\pi\)
0.999797 0.0201569i \(-0.00641659\pi\)
\(228\) 6.80058 1.02502i 0.450379 0.0678838i
\(229\) −0.698121 + 0.647761i −0.0461331 + 0.0428053i −0.702902 0.711286i \(-0.748113\pi\)
0.656769 + 0.754092i \(0.271923\pi\)
\(230\) −31.1660 15.0087i −2.05502 0.989647i
\(231\) 3.38994 + 4.98353i 0.223041 + 0.327892i
\(232\) 9.49687 4.57345i 0.623500 0.300262i
\(233\) −0.422622 + 1.07682i −0.0276869 + 0.0705451i −0.944049 0.329806i \(-0.893017\pi\)
0.916362 + 0.400351i \(0.131112\pi\)
\(234\) 0.0670760 0.895066i 0.00438489 0.0585123i
\(235\) −21.3494 6.58542i −1.39268 0.429585i
\(236\) 0.653157 + 8.71577i 0.0425169 + 0.567348i
\(237\) 4.52923 19.8439i 0.294205 1.28900i
\(238\) 17.7204 25.9316i 1.14864 1.68090i
\(239\) 1.23893 + 5.42812i 0.0801399 + 0.351116i 0.999061 0.0433256i \(-0.0137953\pi\)
−0.918921 + 0.394441i \(0.870938\pi\)
\(240\) 30.6559 9.45609i 1.97883 0.610388i
\(241\) −7.16895 18.2662i −0.461793 1.17663i −0.952292 0.305187i \(-0.901281\pi\)
0.490500 0.871441i \(-0.336814\pi\)
\(242\) 11.9593 + 11.0966i 0.768772 + 0.713316i
\(243\) 4.45205 + 3.03536i 0.285599 + 0.194718i
\(244\) −6.43244 −0.411795
\(245\) −23.9468 0.0510611i −1.52991 0.00326218i
\(246\) −30.6657 −1.95518
\(247\) 3.24715 + 2.21387i 0.206612 + 0.140865i
\(248\) 4.47514 + 4.15232i 0.284172 + 0.263673i
\(249\) 5.27492 + 13.4403i 0.334284 + 0.851743i
\(250\) 9.53367 2.94075i 0.602962 0.185989i
\(251\) −1.68455 7.38050i −0.106328 0.465853i −0.999858 0.0168499i \(-0.994636\pi\)
0.893530 0.449003i \(-0.148221\pi\)
\(252\) −0.379735 1.23575i −0.0239211 0.0778447i
\(253\) −1.59453 + 6.98611i −0.100248 + 0.439213i
\(254\) −1.05309 14.0525i −0.0660767 0.881733i
\(255\) −42.5442 13.1231i −2.66422 0.821803i
\(256\) 1.36511 18.2161i 0.0853194 1.13851i
\(257\) 0.683272 1.74095i 0.0426213 0.108597i −0.907978 0.419018i \(-0.862375\pi\)
0.950599 + 0.310420i \(0.100470\pi\)
\(258\) −0.289601 + 0.139465i −0.0180298 + 0.00868269i
\(259\) −15.7714 9.12805i −0.979986 0.567189i
\(260\) −2.87315 1.38364i −0.178185 0.0858096i
\(261\) −2.21507 + 2.05528i −0.137109 + 0.127219i
\(262\) −6.82937 + 1.02936i −0.421920 + 0.0635941i
\(263\) −13.0526 + 22.6078i −0.804859 + 1.39406i 0.111527 + 0.993761i \(0.464426\pi\)
−0.916386 + 0.400296i \(0.868907\pi\)
\(264\) −2.08273 3.60739i −0.128183 0.222019i
\(265\) −7.45738 9.35126i −0.458103 0.574443i
\(266\) 17.3543 + 3.98048i 1.06406 + 0.244059i
\(267\) −5.28174 + 6.62310i −0.323237 + 0.405327i
\(268\) 0.681233 + 0.102679i 0.0416129 + 0.00627214i
\(269\) −23.7681 + 16.2048i −1.44917 + 0.988024i −0.453877 + 0.891064i \(0.649959\pi\)
−0.995288 + 0.0969598i \(0.969088\pi\)
\(270\) 22.4957 15.3373i 1.36905 0.933401i
\(271\) 20.0736 + 3.02561i 1.21939 + 0.183793i 0.727033 0.686602i \(-0.240899\pi\)
0.492354 + 0.870395i \(0.336137\pi\)
\(272\) −21.5922 + 27.0757i −1.30922 + 1.64171i
\(273\) 2.15979 4.47264i 0.130716 0.270697i
\(274\) −3.82192 4.79253i −0.230891 0.289528i
\(275\) −4.06712 7.04445i −0.245256 0.424797i
\(276\) 5.16679 8.94915i 0.311004 0.538675i
\(277\) −22.0014 + 3.31618i −1.32194 + 0.199250i −0.771822 0.635839i \(-0.780654\pi\)
−0.550115 + 0.835089i \(0.685416\pi\)
\(278\) 23.3516 21.6671i 1.40053 1.29951i
\(279\) −1.57675 0.759323i −0.0943976 0.0454595i
\(280\) 16.5023 + 1.25437i 0.986200 + 0.0749629i
\(281\) −14.1219 + 6.80074i −0.842441 + 0.405698i −0.804766 0.593592i \(-0.797709\pi\)
−0.0376749 + 0.999290i \(0.511995\pi\)
\(282\) 7.66995 19.5427i 0.456739 1.16375i
\(283\) −1.09732 + 14.6427i −0.0652288 + 0.870418i 0.864608 + 0.502446i \(0.167567\pi\)
−0.929837 + 0.367971i \(0.880052\pi\)
\(284\) 9.87000 + 3.04449i 0.585677 + 0.180657i
\(285\) −1.88614 25.1687i −0.111725 1.49087i
\(286\) −0.462386 + 2.02584i −0.0273414 + 0.119791i
\(287\) −23.4848 9.24603i −1.38627 0.545776i
\(288\) 0.571177 + 2.50249i 0.0336569 + 0.147461i
\(289\) 29.6811 9.15540i 1.74595 0.538553i
\(290\) 12.3373 + 31.4350i 0.724472 + 1.84592i
\(291\) 21.9208 + 20.3395i 1.28502 + 1.19232i
\(292\) 0.681704 + 0.464778i 0.0398937 + 0.0271991i
\(293\) 22.2324 1.29883 0.649415 0.760434i \(-0.275014\pi\)
0.649415 + 0.760434i \(0.275014\pi\)
\(294\) 1.72942 22.4355i 0.100862 1.30846i
\(295\) 32.0756 1.86752
\(296\) 10.4054 + 7.09427i 0.604801 + 0.412346i
\(297\) −4.13449 3.83625i −0.239907 0.222602i
\(298\) 6.84339 + 17.4367i 0.396427 + 1.01008i
\(299\) 5.64272 1.74055i 0.326327 0.100658i
\(300\) 2.61021 + 11.4361i 0.150701 + 0.660263i
\(301\) −0.263836 + 0.0194889i −0.0152073 + 0.00112332i
\(302\) 3.29369 14.4306i 0.189531 0.830388i
\(303\) 1.18896 + 15.8656i 0.0683042 + 0.911457i
\(304\) −18.7599 5.78668i −1.07596 0.331889i
\(305\) −1.76411 + 23.5404i −0.101012 + 1.34792i
\(306\) 2.27335 5.79240i 0.129959 0.331130i
\(307\) −22.4220 + 10.7979i −1.27969 + 0.616268i −0.945311 0.326170i \(-0.894242\pi\)
−0.334382 + 0.942438i \(0.608527\pi\)
\(308\) 0.442906 + 2.95990i 0.0252369 + 0.168656i
\(309\) 17.0652 + 8.21815i 0.970803 + 0.467514i
\(310\) −14.3370 + 13.3028i −0.814286 + 0.755547i
\(311\) −2.20390 + 0.332185i −0.124972 + 0.0188365i −0.211230 0.977436i \(-0.567747\pi\)
0.0862584 + 0.996273i \(0.472509\pi\)
\(312\) −1.71630 + 2.97272i −0.0971664 + 0.168297i
\(313\) 7.11812 + 12.3289i 0.402340 + 0.696873i 0.994008 0.109309i \(-0.0348637\pi\)
−0.591668 + 0.806182i \(0.701530\pi\)
\(314\) −0.815294 1.02235i −0.0460097 0.0576943i
\(315\) −4.62652 + 1.05078i −0.260675 + 0.0592050i
\(316\) 6.30162 7.90199i 0.354494 0.444521i
\(317\) −22.5664 3.40134i −1.26746 0.191038i −0.519319 0.854581i \(-0.673814\pi\)
−0.748139 + 0.663542i \(0.769052\pi\)
\(318\) 9.28614 6.33118i 0.520741 0.355035i
\(319\) 5.77990 3.94067i 0.323612 0.220635i
\(320\) −5.43106 0.818601i −0.303606 0.0457612i
\(321\) 2.87469 3.60475i 0.160450 0.201198i
\(322\) 20.9339 16.6578i 1.16660 0.928301i
\(323\) 16.9873 + 21.3013i 0.945196 + 1.18524i
\(324\) 4.79966 + 8.31326i 0.266648 + 0.461848i
\(325\) −3.35157 + 5.80509i −0.185912 + 0.322008i
\(326\) 20.7006 3.12011i 1.14650 0.172807i
\(327\) 7.75330 7.19402i 0.428759 0.397830i
\(328\) 15.7157 + 7.56829i 0.867756 + 0.417889i
\(329\) 11.7662 12.6539i 0.648693 0.697632i
\(330\) 12.0233 5.79011i 0.661860 0.318735i
\(331\) −8.17133 + 20.8202i −0.449137 + 1.14438i 0.509682 + 0.860363i \(0.329763\pi\)
−0.958819 + 0.284019i \(0.908332\pi\)
\(332\) −0.535774 + 7.14941i −0.0294044 + 0.392375i
\(333\) −3.44983 1.06413i −0.189050 0.0583141i
\(334\) −0.145596 1.94285i −0.00796668 0.106308i
\(335\) 0.562598 2.46490i 0.0307380 0.134672i
\(336\) −3.72407 + 24.5301i −0.203165 + 1.33823i
\(337\) −1.92800 8.44712i −0.105025 0.460144i −0.999904 0.0138361i \(-0.995596\pi\)
0.894879 0.446308i \(-0.147261\pi\)
\(338\) 1.63628 0.504727i 0.0890021 0.0274535i
\(339\) 10.9578 + 27.9199i 0.595144 + 1.51640i
\(340\) −16.2062 15.0371i −0.878903 0.815502i
\(341\) 3.34750 + 2.28229i 0.181278 + 0.123593i
\(342\) 3.52751 0.190746
\(343\) 8.08897 16.6604i 0.436763 0.899577i
\(344\) 0.182836 0.00985785
\(345\) −31.3336 21.3629i −1.68694 1.15014i
\(346\) −27.2497 25.2840i −1.46495 1.35928i
\(347\) 6.74093 + 17.1756i 0.361872 + 0.922035i 0.989632 + 0.143628i \(0.0458768\pi\)
−0.627760 + 0.778407i \(0.716028\pi\)
\(348\) −9.63976 + 2.97347i −0.516746 + 0.159395i
\(349\) 5.44407 + 23.8520i 0.291414 + 1.27677i 0.882558 + 0.470203i \(0.155819\pi\)
−0.591144 + 0.806566i \(0.701323\pi\)
\(350\) −4.55819 + 30.0244i −0.243646 + 1.60487i
\(351\) −1.03424 + 4.53128i −0.0552034 + 0.241862i
\(352\) −0.444076 5.92578i −0.0236693 0.315845i
\(353\) −22.1603 6.83556i −1.17948 0.363820i −0.357812 0.933794i \(-0.616477\pi\)
−0.821663 + 0.569974i \(0.806953\pi\)
\(354\) −2.25239 + 30.0560i −0.119713 + 1.59746i
\(355\) 13.8486 35.2856i 0.735006 1.87277i
\(356\) −3.78989 + 1.82512i −0.200864 + 0.0967309i
\(357\) 23.4473 25.2162i 1.24096 1.33458i
\(358\) −6.85792 3.30260i −0.362453 0.174548i
\(359\) −10.8687 + 10.0847i −0.573629 + 0.532250i −0.912764 0.408488i \(-0.866056\pi\)
0.339135 + 0.940738i \(0.389866\pi\)
\(360\) 3.24223 0.488688i 0.170881 0.0257561i
\(361\) 1.77738 3.07851i 0.0935461 0.162027i
\(362\) 19.9530 + 34.5597i 1.04871 + 1.81642i
\(363\) 11.1515 + 13.9836i 0.585303 + 0.733946i
\(364\) 1.92987 1.53566i 0.101153 0.0804904i
\(365\) 1.88787 2.36732i 0.0988159 0.123911i
\(366\) −21.9343 3.30606i −1.14652 0.172811i
\(367\) −16.5135 + 11.2587i −0.861998 + 0.587700i −0.911604 0.411069i \(-0.865156\pi\)
0.0496064 + 0.998769i \(0.484203\pi\)
\(368\) −24.3725 + 16.6169i −1.27051 + 0.866216i
\(369\) −4.94457 0.745273i −0.257404 0.0387974i
\(370\) −25.1555 + 31.5440i −1.30777 + 1.63990i
\(371\) 9.02054 2.04876i 0.468323 0.106367i
\(372\) −3.64278 4.56790i −0.188869 0.236835i
\(373\) 3.05315 + 5.28821i 0.158086 + 0.273813i 0.934179 0.356806i \(-0.116134\pi\)
−0.776092 + 0.630619i \(0.782801\pi\)
\(374\) −7.20278 + 12.4756i −0.372447 + 0.645097i
\(375\) 10.8156 1.63020i 0.558517 0.0841829i
\(376\) −8.75387 + 8.12240i −0.451446 + 0.418881i
\(377\) −5.19381 2.50121i −0.267495 0.128819i
\(378\) 3.11616 + 20.8250i 0.160278 + 1.07112i
\(379\) −16.0623 + 7.73521i −0.825067 + 0.397331i −0.798263 0.602309i \(-0.794247\pi\)
−0.0268042 + 0.999641i \(0.508533\pi\)
\(380\) 4.57873 11.6664i 0.234884 0.598474i
\(381\) 1.15451 15.4059i 0.0591475 0.789269i
\(382\) 17.9854 + 5.54776i 0.920214 + 0.283848i
\(383\) −0.829980 11.0753i −0.0424100 0.565922i −0.977421 0.211303i \(-0.932229\pi\)
0.935011 0.354619i \(-0.115390\pi\)
\(384\) 5.23966 22.9564i 0.267385 1.17149i
\(385\) 10.9536 0.809116i 0.558247 0.0412364i
\(386\) −8.36919 36.6678i −0.425980 1.86634i
\(387\) −0.0500849 + 0.0154492i −0.00254596 + 0.000785324i
\(388\) 5.42487 + 13.8223i 0.275406 + 0.701723i
\(389\) −5.63120 5.22499i −0.285513 0.264918i 0.524394 0.851476i \(-0.324292\pi\)
−0.809907 + 0.586558i \(0.800483\pi\)
\(390\) −9.08616 6.19484i −0.460096 0.313688i
\(391\) 40.9375 2.07030
\(392\) −6.42337 + 11.0710i −0.324429 + 0.559171i
\(393\) −7.57168 −0.381941
\(394\) −32.8663 22.4078i −1.65578 1.12889i
\(395\) −27.1901 25.2287i −1.36808 1.26940i
\(396\) 0.216626 + 0.551955i 0.0108859 + 0.0277368i
\(397\) −1.98751 + 0.613067i −0.0997505 + 0.0307690i −0.344229 0.938886i \(-0.611860\pi\)
0.244478 + 0.969655i \(0.421383\pi\)
\(398\) 9.78549 + 42.8730i 0.490502 + 2.14903i
\(399\) 18.1628 + 7.15075i 0.909280 + 0.357985i
\(400\) 7.45108 32.6453i 0.372554 1.63227i
\(401\) −2.08653 27.8429i −0.104197 1.39041i −0.767017 0.641627i \(-0.778260\pi\)
0.662820 0.748779i \(-0.269359\pi\)
\(402\) 2.27020 + 0.700263i 0.113227 + 0.0349259i
\(403\) 0.249501 3.32936i 0.0124285 0.165847i
\(404\) −2.88630 + 7.35416i −0.143599 + 0.365883i
\(405\) 31.7398 15.2851i 1.57716 0.759521i
\(406\) −26.0417 1.97948i −1.29243 0.0982398i
\(407\) 7.53019 + 3.62635i 0.373258 + 0.179752i
\(408\) −17.4443 + 16.1860i −0.863624 + 0.801326i
\(409\) −13.3993 + 2.01963i −0.662555 + 0.0998641i −0.471707 0.881755i \(-0.656362\pi\)
−0.190848 + 0.981620i \(0.561124\pi\)
\(410\) −27.9413 + 48.3957i −1.37992 + 2.39009i
\(411\) −3.36013 5.81991i −0.165743 0.287075i
\(412\) 5.86407 + 7.35331i 0.288902 + 0.362272i
\(413\) −10.7871 + 22.3388i −0.530801 + 1.09922i
\(414\) 3.30465 4.14390i 0.162415 0.203661i
\(415\) 26.0173 + 3.92147i 1.27714 + 0.192497i
\(416\) −4.04603 + 2.75854i −0.198373 + 0.135248i
\(417\) 28.8550 19.6730i 1.41303 0.963391i
\(418\) −8.07519 1.21714i −0.394971 0.0595322i
\(419\) 13.5134 16.9452i 0.660171 0.827828i −0.333191 0.942859i \(-0.608125\pi\)
0.993362 + 0.115031i \(0.0366969\pi\)
\(420\) −15.4381 3.54096i −0.753301 0.172781i
\(421\) 4.59052 + 5.75633i 0.223728 + 0.280546i 0.881009 0.473099i \(-0.156865\pi\)
−0.657281 + 0.753646i \(0.728293\pi\)
\(422\) −5.30558 9.18954i −0.258272 0.447340i
\(423\) 1.71166 2.96468i 0.0832236 0.144148i
\(424\) −6.32153 + 0.952818i −0.307001 + 0.0462729i
\(425\) −34.0651 + 31.6078i −1.65240 + 1.53320i
\(426\) 32.0914 + 15.4544i 1.55484 + 0.748769i
\(427\) −15.8012 9.14530i −0.764674 0.442572i
\(428\) 2.06272 0.993356i 0.0997056 0.0480157i
\(429\) −0.832273 + 2.12060i −0.0401825 + 0.102383i
\(430\) −0.0437732 + 0.584113i −0.00211093 + 0.0281684i
\(431\) −28.4244 8.76775i −1.36915 0.422328i −0.478930 0.877853i \(-0.658975\pi\)
−0.890223 + 0.455525i \(0.849452\pi\)
\(432\) −1.73506 23.1528i −0.0834781 1.11394i
\(433\) −7.61234 + 33.3519i −0.365826 + 1.60279i 0.372291 + 0.928116i \(0.378572\pi\)
−0.738117 + 0.674672i \(0.764285\pi\)
\(434\) −4.44302 14.4586i −0.213272 0.694037i
\(435\) 8.23810 + 36.0935i 0.394986 + 1.73055i
\(436\) 5.01863 1.54804i 0.240349 0.0741378i
\(437\) 8.47853 + 21.6029i 0.405583 + 1.03341i
\(438\) 2.08570 + 1.93524i 0.0996584 + 0.0924695i
\(439\) 24.8181 + 16.9207i 1.18450 + 0.807580i 0.985040 0.172325i \(-0.0551279\pi\)
0.199463 + 0.979905i \(0.436080\pi\)
\(440\) −7.59074 −0.361875
\(441\) 0.824105 3.57548i 0.0392431 0.170261i
\(442\) 11.8711 0.564651
\(443\) 11.2527 + 7.67195i 0.534631 + 0.364505i 0.800339 0.599548i \(-0.204653\pi\)
−0.265707 + 0.964054i \(0.585605\pi\)
\(444\) −8.83526 8.19792i −0.419303 0.389056i
\(445\) 5.63987 + 14.3701i 0.267355 + 0.681210i
\(446\) 2.75011 0.848297i 0.130222 0.0401680i
\(447\) 4.56959 + 20.0207i 0.216134 + 0.946946i
\(448\) 2.39659 3.50712i 0.113228 0.165696i
\(449\) 3.18009 13.9329i 0.150077 0.657532i −0.842783 0.538253i \(-0.819084\pi\)
0.992861 0.119279i \(-0.0380584\pi\)
\(450\) 0.449620 + 5.99976i 0.0211953 + 0.282831i
\(451\) 11.0620 + 3.41216i 0.520887 + 0.160672i
\(452\) −1.11298 + 14.8517i −0.0523503 + 0.698566i
\(453\) 5.92849 15.1055i 0.278545 0.709720i
\(454\) 24.0512 11.5824i 1.12878 0.543591i
\(455\) −5.09068 7.48378i −0.238655 0.350845i
\(456\) −12.1543 5.85321i −0.569178 0.274102i
\(457\) 18.1567 16.8470i 0.849337 0.788069i −0.129743 0.991548i \(-0.541415\pi\)
0.979079 + 0.203478i \(0.0652246\pi\)
\(458\) −1.61255 + 0.243053i −0.0753495 + 0.0113571i
\(459\) −16.1107 + 27.9046i −0.751984 + 1.30248i
\(460\) −9.41550 16.3081i −0.439000 0.760371i
\(461\) 23.5577 + 29.5404i 1.09719 + 1.37584i 0.920119 + 0.391638i \(0.128091\pi\)
0.177073 + 0.984198i \(0.443337\pi\)
\(462\) −0.0110033 + 10.3207i −0.000511920 + 0.480164i
\(463\) 9.95886 12.4880i 0.462827 0.580367i −0.494571 0.869137i \(-0.664675\pi\)
0.957399 + 0.288770i \(0.0932463\pi\)
\(464\) 28.4753 + 4.29196i 1.32193 + 0.199249i
\(465\) −17.7159 + 12.0785i −0.821554 + 0.560126i
\(466\) −1.63664 + 1.11585i −0.0758161 + 0.0516905i
\(467\) −11.5257 1.73722i −0.533345 0.0803888i −0.123152 0.992388i \(-0.539300\pi\)
−0.410192 + 0.911999i \(0.634538\pi\)
\(468\) 0.304652 0.382021i 0.0140825 0.0176589i
\(469\) 1.52745 + 1.22077i 0.0705313 + 0.0563700i
\(470\) −23.8532 29.9109i −1.10026 1.37969i
\(471\) −0.716785 1.24151i −0.0330277 0.0572056i
\(472\) 8.57213 14.8474i 0.394564 0.683405i
\(473\) 0.119985 0.0180848i 0.00551692 0.000831542i
\(474\) 25.5496 23.7065i 1.17353 1.08888i
\(475\) −23.7348 11.4301i −1.08903 0.524448i
\(476\) 15.9227 6.22960i 0.729814 0.285533i
\(477\) 1.65117 0.795162i 0.0756019 0.0364080i
\(478\) −3.48313 + 8.87488i −0.159315 + 0.405928i
\(479\) 0.571326 7.62381i 0.0261045 0.348341i −0.968824 0.247752i \(-0.920308\pi\)
0.994928 0.100589i \(-0.0320727\pi\)
\(480\) 30.0516 + 9.26968i 1.37166 + 0.423101i
\(481\) −0.514699 6.86818i −0.0234683 0.313162i
\(482\) 7.47692 32.7585i 0.340565 1.49211i
\(483\) 25.4156 14.6376i 1.15645 0.666033i
\(484\) 1.97626 + 8.65857i 0.0898301 + 0.393571i
\(485\) 52.0725 16.0622i 2.36449 0.729348i
\(486\) 3.37092 + 8.58896i 0.152908 + 0.389603i
\(487\) −18.3455 17.0221i −0.831313 0.771345i 0.144604 0.989490i \(-0.453809\pi\)
−0.975917 + 0.218144i \(0.930000\pi\)
\(488\) 10.4251 + 7.10768i 0.471920 + 0.321750i
\(489\) 22.9506 1.03786
\(490\) −33.8312 23.1715i −1.52834 1.04678i
\(491\) 18.7333 0.845424 0.422712 0.906264i \(-0.361078\pi\)
0.422712 + 0.906264i \(0.361078\pi\)
\(492\) −13.7931 9.40398i −0.621841 0.423964i
\(493\) −29.2959 27.1826i −1.31942 1.22424i
\(494\) 2.45862 + 6.26445i 0.110618 + 0.281851i
\(495\) 2.07936 0.641398i 0.0934603 0.0288287i
\(496\) 3.71123 + 16.2600i 0.166639 + 0.730094i
\(497\) 19.9170 + 21.5114i 0.893400 + 0.964918i
\(498\) −5.50153 + 24.1038i −0.246529 + 1.08012i
\(499\) −2.46853 32.9402i −0.110507 1.47461i −0.726669 0.686988i \(-0.758933\pi\)
0.616162 0.787619i \(-0.288687\pi\)
\(500\) 5.18995 + 1.60089i 0.232102 + 0.0715938i
\(501\) 0.159619 2.12997i 0.00713125 0.0951599i
\(502\) 4.73595 12.0670i 0.211376 0.538577i
\(503\) 24.5587 11.8268i 1.09502 0.527333i 0.202930 0.979193i \(-0.434954\pi\)
0.892089 + 0.451860i \(0.149239\pi\)
\(504\) −0.750032 + 2.42237i −0.0334091 + 0.107901i
\(505\) 26.1220 + 12.5797i 1.16241 + 0.559788i
\(506\) −8.99482 + 8.34598i −0.399869 + 0.371024i
\(507\) 1.85631 0.279794i 0.0824417 0.0124261i
\(508\) 3.83568 6.64360i 0.170181 0.294762i
\(509\) −17.9058 31.0138i −0.793662 1.37466i −0.923686 0.383151i \(-0.874839\pi\)
0.130024 0.991511i \(-0.458495\pi\)
\(510\) −47.5336 59.6053i −2.10482 2.63937i
\(511\) 1.01380 + 2.11093i 0.0448479 + 0.0933821i
\(512\) 3.86185 4.84260i 0.170671 0.214015i
\(513\) −18.0621 2.72242i −0.797461 0.120198i
\(514\) 2.64604 1.80404i 0.116712 0.0795726i
\(515\) 28.5186 19.4437i 1.25668 0.856791i
\(516\) −0.173028 0.0260797i −0.00761712 0.00114810i
\(517\) −4.94127 + 6.19615i −0.217317 + 0.272507i
\(518\) −13.5087 28.1277i −0.593537 1.23586i
\(519\) −25.4092 31.8621i −1.11534 1.39859i
\(520\) 3.12763 + 5.41722i 0.137156 + 0.237561i
\(521\) 13.4816 23.3508i 0.590639 1.02302i −0.403508 0.914976i \(-0.632209\pi\)
0.994147 0.108040i \(-0.0344576\pi\)
\(522\) −5.11646 + 0.771182i −0.223941 + 0.0337537i
\(523\) −32.1885 + 29.8666i −1.40751 + 1.30597i −0.513379 + 0.858162i \(0.671606\pi\)
−0.894127 + 0.447813i \(0.852203\pi\)
\(524\) −3.38744 1.63130i −0.147981 0.0712638i
\(525\) −9.84727 + 31.8036i −0.429770 + 1.38802i
\(526\) −40.2747 + 19.3953i −1.75606 + 0.845675i
\(527\) 8.45614 21.5459i 0.368355 0.938554i
\(528\) 0.850419 11.3481i 0.0370097 0.493861i
\(529\) 11.3424 + 3.49868i 0.493149 + 0.152116i
\(530\) −1.53055 20.4238i −0.0664828 0.887152i
\(531\) −1.09363 + 4.79151i −0.0474596 + 0.207934i
\(532\) 6.58512 + 7.11227i 0.285501 + 0.308356i
\(533\) −2.12276 9.30042i −0.0919469 0.402846i
\(534\) −13.8614 + 4.27567i −0.599841 + 0.185026i
\(535\) −3.06961 7.82124i −0.132711 0.338142i
\(536\) −0.990616 0.919157i −0.0427881 0.0397015i
\(537\) −6.89481 4.70080i −0.297533 0.202854i
\(538\) −49.2588 −2.12370
\(539\) −3.12023 + 7.90065i −0.134398 + 0.340305i
\(540\) 14.8217 0.637824
\(541\) 28.3543 + 19.3316i 1.21905 + 0.831132i 0.989832 0.142243i \(-0.0454315\pi\)
0.229216 + 0.973376i \(0.426384\pi\)
\(542\) 25.4820 + 23.6439i 1.09455 + 1.01559i
\(543\) 15.9835 + 40.7252i 0.685917 + 1.74769i
\(544\) −32.4402 + 10.0065i −1.39086 + 0.429024i
\(545\) −4.28890 18.7909i −0.183716 0.804913i
\(546\) 7.37005 4.24463i 0.315409 0.181653i
\(547\) −7.15595 + 31.3523i −0.305966 + 1.34053i 0.554995 + 0.831854i \(0.312720\pi\)
−0.860961 + 0.508671i \(0.830137\pi\)
\(548\) −0.249374 3.32766i −0.0106527 0.142151i
\(549\) −3.45635 1.06614i −0.147514 0.0455019i
\(550\) 1.04090 13.8898i 0.0443839 0.592263i
\(551\) 8.27698 21.0894i 0.352611 0.898439i
\(552\) −18.2624 + 8.79471i −0.777299 + 0.374328i
\(553\) 26.7145 10.4518i 1.13601 0.444456i
\(554\) −34.3268 16.5309i −1.45841 0.702332i
\(555\) −32.4244 + 30.0855i −1.37634 + 1.27706i
\(556\) 17.1477 2.58460i 0.727225 0.109612i
\(557\) 14.7602 25.5654i 0.625409 1.08324i −0.363052 0.931769i \(-0.618265\pi\)
0.988462 0.151472i \(-0.0484013\pi\)
\(558\) −1.49837 2.59525i −0.0634310 0.109866i
\(559\) −0.0623442 0.0781772i −0.00263688 0.00330654i
\(560\) 35.3195 + 28.2280i 1.49252 + 1.19285i
\(561\) −9.84675 + 12.3474i −0.415730 + 0.521309i
\(562\) −26.5399 4.00025i −1.11952 0.168740i
\(563\) −9.53880 + 6.50344i −0.402013 + 0.274088i −0.747402 0.664372i \(-0.768699\pi\)
0.345390 + 0.938459i \(0.387747\pi\)
\(564\) 9.44284 6.43802i 0.397615 0.271090i
\(565\) 54.0466 + 8.14621i 2.27376 + 0.342714i
\(566\) −15.6769 + 19.6583i −0.658951 + 0.826299i
\(567\) −0.0290472 + 27.2453i −0.00121987 + 1.14420i
\(568\) −12.6322 15.8403i −0.530036 0.664644i
\(569\) 1.61671 + 2.80023i 0.0677761 + 0.117392i 0.897922 0.440154i \(-0.145076\pi\)
−0.830146 + 0.557546i \(0.811743\pi\)
\(570\) 21.6094 37.4285i 0.905117 1.56771i
\(571\) 36.5949 5.51579i 1.53145 0.230829i 0.671420 0.741077i \(-0.265685\pi\)
0.860027 + 0.510248i \(0.170446\pi\)
\(572\) −0.829222 + 0.769406i −0.0346715 + 0.0321705i
\(573\) 18.5909 + 8.95290i 0.776645 + 0.374013i
\(574\) −24.3080 35.7351i −1.01460 1.49155i
\(575\) −35.6626 + 17.1742i −1.48723 + 0.716213i
\(576\) 0.307459 0.783392i 0.0128108 0.0326413i
\(577\) 0.608334 8.11766i 0.0253253 0.337942i −0.970121 0.242621i \(-0.921993\pi\)
0.995447 0.0953218i \(-0.0303880\pi\)
\(578\) 50.8247 + 15.6773i 2.11403 + 0.652091i
\(579\) −3.08135 41.1178i −0.128057 1.70880i
\(580\) −4.09068 + 17.9225i −0.169856 + 0.744190i
\(581\) −11.4808 + 16.8007i −0.476303 + 0.697010i
\(582\) 11.3943 + 49.9217i 0.472309 + 2.06932i
\(583\) −4.05423 + 1.25056i −0.167909 + 0.0517930i
\(584\) −0.591270 1.50653i −0.0244669 0.0623407i
\(585\) −1.31451 1.21968i −0.0543481 0.0504277i
\(586\) 31.4548 + 21.4455i 1.29939 + 0.885906i
\(587\) −40.3738 −1.66640 −0.833202 0.552968i \(-0.813495\pi\)
−0.833202 + 0.552968i \(0.813495\pi\)
\(588\) 7.65795 9.56088i 0.315809 0.394284i
\(589\) 13.1212 0.540651
\(590\) 45.3812 + 30.9404i 1.86831 + 1.27379i
\(591\) −31.9678 29.6618i −1.31498 1.22012i
\(592\) 12.5697 + 32.0272i 0.516614 + 1.31631i
\(593\) −42.5164 + 13.1146i −1.74594 + 0.538551i −0.992850 0.119366i \(-0.961914\pi\)
−0.753090 + 0.657917i \(0.771438\pi\)
\(594\) −2.14908 9.41574i −0.0881779 0.386333i
\(595\) −18.4312 59.9795i −0.755607 2.45892i
\(596\) −2.26906 + 9.94141i −0.0929444 + 0.407216i
\(597\) 3.60281 + 48.0761i 0.147453 + 1.96762i
\(598\) 9.66236 + 2.98044i 0.395123 + 0.121879i
\(599\) 0.356557 4.75792i 0.0145685 0.194403i −0.985171 0.171576i \(-0.945114\pi\)
0.999739 0.0228274i \(-0.00726682\pi\)
\(600\) 8.40621 21.4187i 0.343182 0.874414i
\(601\) 20.8202 10.0265i 0.849275 0.408989i 0.0419668 0.999119i \(-0.486638\pi\)
0.807309 + 0.590130i \(0.200923\pi\)
\(602\) −0.392079 0.226925i −0.0159800 0.00924876i
\(603\) 0.349029 + 0.168084i 0.0142136 + 0.00684490i
\(604\) 5.90676 5.48067i 0.240343 0.223005i
\(605\) 32.2291 4.85776i 1.31030 0.197496i
\(606\) −13.6219 + 23.5939i −0.553353 + 0.958435i
\(607\) −19.3415 33.5005i −0.785049 1.35974i −0.928970 0.370155i \(-0.879305\pi\)
0.143921 0.989589i \(-0.454029\pi\)
\(608\) −11.9991 15.0464i −0.486629 0.610214i
\(609\) −27.9075 6.40101i −1.13087 0.259382i
\(610\) −25.2031 + 31.6037i −1.02044 + 1.27959i
\(611\) 6.45792 + 0.973375i 0.261259 + 0.0393785i
\(612\) 2.79883 1.90821i 0.113136 0.0771348i
\(613\) 18.0450 12.3029i 0.728830 0.496908i −0.141154 0.989988i \(-0.545081\pi\)
0.869984 + 0.493080i \(0.164129\pi\)
\(614\) −42.1388 6.35140i −1.70058 0.256322i
\(615\) −38.1979 + 47.8986i −1.54029 + 1.93146i
\(616\) 2.55279 5.28651i 0.102855 0.212999i
\(617\) −12.4347 15.5926i −0.500601 0.627734i 0.465764 0.884909i \(-0.345780\pi\)
−0.966365 + 0.257175i \(0.917208\pi\)
\(618\) 16.2168 + 28.0884i 0.652336 + 1.12988i
\(619\) 17.9876 31.1554i 0.722982 1.25224i −0.236817 0.971554i \(-0.576104\pi\)
0.959799 0.280688i \(-0.0905626\pi\)
\(620\) −10.5281 + 1.58685i −0.422817 + 0.0637294i
\(621\) −20.1191 + 18.6678i −0.807351 + 0.749112i
\(622\) −3.43855 1.65592i −0.137873 0.0663963i
\(623\) −11.9047 0.904896i −0.476950 0.0362539i
\(624\) −8.44907 + 4.06886i −0.338233 + 0.162885i
\(625\) −4.96265 + 12.6446i −0.198506 + 0.505785i
\(626\) −1.82174 + 24.3094i −0.0728113 + 0.971599i
\(627\) −8.55517 2.63892i −0.341660 0.105388i
\(628\) −0.0531965 0.709858i −0.00212277 0.0283264i
\(629\) 10.6249 46.5508i 0.423643 1.85610i
\(630\) −7.55928 2.97610i −0.301169 0.118571i
\(631\) −2.40285 10.5276i −0.0956559 0.419096i 0.904314 0.426868i \(-0.140383\pi\)
−0.999970 + 0.00777219i \(0.997526\pi\)
\(632\) −18.9445 + 5.84361i −0.753573 + 0.232446i
\(633\) −4.25006 10.8290i −0.168925 0.430413i
\(634\) −28.6464 26.5800i −1.13770 1.05563i
\(635\) −23.2612 15.8592i −0.923092 0.629353i
\(636\) 6.11832 0.242607
\(637\) 6.92402 1.02853i 0.274340 0.0407520i
\(638\) 11.9787 0.474241
\(639\) 4.79885 + 3.27180i 0.189840 + 0.129431i
\(640\) −31.4550 29.1859i −1.24337 1.15368i
\(641\) −6.77905 17.2727i −0.267757 0.682232i −0.999999 0.00118879i \(-0.999622\pi\)
0.732243 0.681044i \(-0.238474\pi\)
\(642\) 7.54434 2.32712i 0.297751 0.0918441i
\(643\) −0.229436 1.00523i −0.00904809 0.0396423i 0.970202 0.242296i \(-0.0779005\pi\)
−0.979250 + 0.202654i \(0.935043\pi\)
\(644\) 14.5241 1.07286i 0.572330 0.0422767i
\(645\) −0.142895 + 0.626065i −0.00562649 + 0.0246513i
\(646\) 3.48646 + 46.5236i 0.137173 + 1.83044i
\(647\) −36.4154 11.2327i −1.43164 0.441601i −0.520555 0.853828i \(-0.674275\pi\)
−0.911081 + 0.412227i \(0.864751\pi\)
\(648\) 1.40713 18.7768i 0.0552772 0.737623i
\(649\) 4.15682 10.5914i 0.163169 0.415749i
\(650\) −10.3415 + 4.98020i −0.405627 + 0.195339i
\(651\) −2.45404 16.4001i −0.0961813 0.642770i
\(652\) 10.2677 + 4.94467i 0.402114 + 0.193648i
\(653\) −4.61892 + 4.28573i −0.180752 + 0.167714i −0.765360 0.643603i \(-0.777439\pi\)
0.584608 + 0.811316i \(0.301248\pi\)
\(654\) 17.9089 2.69933i 0.700294 0.105552i
\(655\) −6.89897 + 11.9494i −0.269565 + 0.466901i
\(656\) 23.8270 + 41.2696i 0.930290 + 1.61131i
\(657\) 0.289267 + 0.362729i 0.0112854 + 0.0141514i
\(658\) 28.8531 6.55318i 1.12481 0.255469i
\(659\) −6.78151 + 8.50374i −0.264170 + 0.331259i −0.896171 0.443709i \(-0.853662\pi\)
0.632001 + 0.774968i \(0.282234\pi\)
\(660\) 7.18354 + 1.08274i 0.279619 + 0.0421457i
\(661\) 4.80467 3.27577i 0.186880 0.127413i −0.466266 0.884644i \(-0.654401\pi\)
0.653146 + 0.757232i \(0.273449\pi\)
\(662\) −31.6443 + 21.5747i −1.22989 + 0.838524i
\(663\) 12.8691 + 1.93970i 0.499793 + 0.0753317i
\(664\) 8.76824 10.9950i 0.340274 0.426690i
\(665\) 27.8343 22.1486i 1.07937 0.858885i
\(666\) −3.85442 4.83329i −0.149356 0.187286i
\(667\) −17.0204 29.4803i −0.659034 1.14148i
\(668\) 0.530308 0.918520i 0.0205182 0.0355386i
\(669\) 3.11991 0.470251i 0.120623 0.0181810i
\(670\) 3.17363 2.94470i 0.122608 0.113764i
\(671\) 7.54443 + 3.63320i 0.291249 + 0.140258i
\(672\) −16.5622 + 17.8117i −0.638902 + 0.687102i
\(673\) 20.4844 9.86477i 0.789616 0.380259i 0.00480024 0.999988i \(-0.498472\pi\)
0.784815 + 0.619730i \(0.212758\pi\)
\(674\) 5.42038 13.8109i 0.208785 0.531976i
\(675\) 2.32821 31.0678i 0.0896129 1.19580i
\(676\) 0.890762 + 0.274764i 0.0342601 + 0.0105678i
\(677\) 0.136969 + 1.82773i 0.00526415 + 0.0702452i 0.999217 0.0395611i \(-0.0125960\pi\)
−0.993953 + 0.109806i \(0.964977\pi\)
\(678\) −11.4285 + 50.0716i −0.438909 + 1.92299i
\(679\) −6.32576 + 41.6672i −0.242760 + 1.59904i
\(680\) 9.64969 + 42.2780i 0.370049 + 1.62129i
\(681\) 27.9656 8.62624i 1.07164 0.330558i
\(682\) 2.53460 + 6.45805i 0.0970547 + 0.247291i
\(683\) 6.32844 + 5.87194i 0.242151 + 0.224683i 0.791907 0.610642i \(-0.209089\pi\)
−0.549755 + 0.835326i \(0.685279\pi\)
\(684\) 1.58664 + 1.08175i 0.0606665 + 0.0413617i
\(685\) −12.2464 −0.467911
\(686\) 27.5151 15.7687i 1.05053 0.602054i
\(687\) −1.78782 −0.0682097
\(688\) 0.412708 + 0.281379i 0.0157343 + 0.0107275i
\(689\) 2.56295 + 2.37807i 0.0976407 + 0.0905973i
\(690\) −23.7245 60.4492i −0.903178 2.30126i
\(691\) 9.14490 2.82083i 0.347888 0.107309i −0.115887 0.993262i \(-0.536971\pi\)
0.463775 + 0.885953i \(0.346495\pi\)
\(692\) −4.50299 19.7289i −0.171178 0.749980i
\(693\) −0.252600 + 1.66386i −0.00959550 + 0.0632047i
\(694\) −7.03052 + 30.8027i −0.266875 + 1.16925i
\(695\) −4.75591 63.4632i −0.180402 2.40730i
\(696\) 18.9088 + 5.83258i 0.716735 + 0.221084i
\(697\) 4.94222 65.9493i 0.187200 2.49801i
\(698\) −15.3054 + 38.9976i −0.579320 + 1.47608i
\(699\) −1.95656 + 0.942228i −0.0740037 + 0.0356383i
\(700\) −11.2575 + 12.1068i −0.425494 + 0.457594i
\(701\) 23.2249 + 11.1845i 0.877192 + 0.422433i 0.817598 0.575790i \(-0.195305\pi\)
0.0595936 + 0.998223i \(0.481020\pi\)
\(702\) −5.83416 + 5.41331i −0.220196 + 0.204312i
\(703\) 26.7656 4.03427i 1.00948 0.152155i
\(704\) −0.974137 + 1.68726i −0.0367142 + 0.0635908i
\(705\) −20.9711 36.3230i −0.789816 1.36800i
\(706\) −24.7592 31.0471i −0.931825 1.16847i
\(707\) −17.5459 + 13.9618i −0.659882 + 0.525088i
\(708\) −10.2301 + 12.8281i −0.384471 + 0.482111i
\(709\) −23.6973 3.57179i −0.889970 0.134141i −0.311887 0.950119i \(-0.600961\pi\)
−0.578083 + 0.815978i \(0.696199\pi\)
\(710\) 53.6300 36.5643i 2.01270 1.37223i
\(711\) 4.69577 3.20152i 0.176105 0.120067i
\(712\) 8.15898 + 1.22977i 0.305771 + 0.0460875i
\(713\) 12.2922 15.4140i 0.460348 0.577258i
\(714\) 57.4973 13.0589i 2.15178 0.488717i
\(715\) 2.58833 + 3.24566i 0.0967979 + 0.121381i
\(716\) −2.07184 3.58853i −0.0774282 0.134110i
\(717\) −5.22607 + 9.05182i −0.195171 + 0.338047i
\(718\) −25.1050 + 3.78397i −0.936911 + 0.141217i
\(719\) −31.8305 + 29.5344i −1.18708 + 1.10145i −0.194367 + 0.980929i \(0.562265\pi\)
−0.992711 + 0.120518i \(0.961544\pi\)
\(720\) 8.07063 + 3.88661i 0.300775 + 0.144845i
\(721\) 3.95046 + 26.4005i 0.147123 + 0.983207i
\(722\) 5.48421 2.64106i 0.204101 0.0982900i
\(723\) 13.4581 34.2907i 0.500513 1.27529i
\(724\) −1.62344 + 21.6634i −0.0603348 + 0.805113i
\(725\) 36.9248 + 11.3898i 1.37135 + 0.423006i
\(726\) 2.28873 + 30.5410i 0.0849428 + 1.13348i
\(727\) −4.06775 + 17.8220i −0.150864 + 0.660980i 0.841770 + 0.539836i \(0.181514\pi\)
−0.992635 + 0.121145i \(0.961344\pi\)
\(728\) −4.82461 + 0.356382i −0.178812 + 0.0132084i
\(729\) −4.62352 20.2569i −0.171241 0.750257i
\(730\) 4.95453 1.52827i 0.183375 0.0565638i
\(731\) −0.253257 0.645289i −0.00936705 0.0238669i
\(732\) −8.85196 8.21342i −0.327178 0.303577i
\(733\) −2.01357 1.37283i −0.0743730 0.0507067i 0.525563 0.850755i \(-0.323855\pi\)
−0.599936 + 0.800048i \(0.704807\pi\)
\(734\) −34.2238 −1.26323
\(735\) −32.8891 30.6474i −1.21313 1.13044i
\(736\) −28.9166 −1.06588
\(737\) −0.741003 0.505207i −0.0272952 0.0186095i
\(738\) −6.27677 5.82399i −0.231051 0.214384i
\(739\) −9.21714 23.4849i −0.339058 0.863906i −0.994115 0.108326i \(-0.965451\pi\)
0.655057 0.755579i \(-0.272644\pi\)
\(740\) −20.9880 + 6.47394i −0.771534 + 0.237987i
\(741\) 1.64171 + 7.19281i 0.0603098 + 0.264235i
\(742\) 14.7387 + 5.80265i 0.541074 + 0.213022i
\(743\) −10.9352 + 47.9100i −0.401172 + 1.75765i 0.221495 + 0.975162i \(0.428906\pi\)
−0.622667 + 0.782487i \(0.713951\pi\)
\(744\) 0.856438 + 11.4284i 0.0313986 + 0.418985i
\(745\) 35.7596 + 11.0304i 1.31013 + 0.404122i
\(746\) −0.781392 + 10.4270i −0.0286088 + 0.381758i
\(747\) −1.47287 + 3.75280i −0.0538894 + 0.137308i
\(748\) −7.06549 + 3.40256i −0.258340 + 0.124410i
\(749\) 6.47935 + 0.492508i 0.236750 + 0.0179958i
\(750\) 16.8747 + 8.12641i 0.616175 + 0.296734i
\(751\) −3.30175 + 3.06358i −0.120483 + 0.111792i −0.738113 0.674677i \(-0.764283\pi\)
0.617631 + 0.786468i \(0.288093\pi\)
\(752\) −32.2599 + 4.86240i −1.17640 + 0.177313i
\(753\) 7.10579 12.3076i 0.258949 0.448513i
\(754\) −4.93561 8.54873i −0.179744 0.311326i
\(755\) −18.4373 23.1197i −0.671002 0.841410i
\(756\) −4.98459 + 10.3224i −0.181288 + 0.375423i
\(757\) −0.910753 + 1.14205i −0.0331019 + 0.0415085i −0.798107 0.602516i \(-0.794165\pi\)
0.765005 + 0.644024i \(0.222736\pi\)
\(758\) −30.1867 4.54992i −1.09643 0.165260i
\(759\) −11.1147 + 7.57787i −0.403438 + 0.275059i
\(760\) −20.3118 + 13.8484i −0.736787 + 0.502333i
\(761\) −46.7665 7.04892i −1.69529 0.255523i −0.770893 0.636965i \(-0.780190\pi\)
−0.924393 + 0.381441i \(0.875428\pi\)
\(762\) 16.4941 20.6829i 0.597517 0.749263i
\(763\) 14.5291 + 3.33248i 0.525989 + 0.120644i
\(764\) 6.38835 + 8.01074i 0.231122 + 0.289818i
\(765\) −6.21576 10.7660i −0.224731 0.389246i
\(766\) 9.50905 16.4702i 0.343576 0.595091i
\(767\) −9.27141 + 1.39744i −0.334771 + 0.0504587i
\(768\) 25.1383 23.3249i 0.907099 0.841665i
\(769\) −23.7238 11.4248i −0.855500 0.411987i −0.0458841 0.998947i \(-0.514611\pi\)
−0.809616 + 0.586959i \(0.800325\pi\)
\(770\) 16.2778 + 9.42117i 0.586612 + 0.339515i
\(771\) 3.16325 1.52334i 0.113922 0.0548618i
\(772\) 7.48021 19.0593i 0.269219 0.685958i
\(773\) −0.655372 + 8.74533i −0.0235721 + 0.314548i