Properties

Label 230.2.l.a.37.5
Level $230$
Weight $2$
Character 230.37
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.5
Character \(\chi\) \(=\) 230.37
Dual form 230.2.l.a.143.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(1.38690 + 0.0991931i) q^{3} +(0.540641 + 0.841254i) q^{4} +(1.42130 - 1.72624i) q^{5} +(-1.16972 - 0.751731i) q^{6} +(-1.42380 - 3.81735i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(-1.05581 - 0.151803i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(1.38690 + 0.0991931i) q^{3} +(0.540641 + 0.841254i) q^{4} +(1.42130 - 1.72624i) q^{5} +(-1.16972 - 0.751731i) q^{6} +(-1.42380 - 3.81735i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(-1.05581 - 0.151803i) q^{9} +(-2.07474 + 0.833933i) q^{10} +(-0.289007 + 0.984268i) q^{11} +(0.666369 + 1.22036i) q^{12} +(2.63570 + 0.983067i) q^{13} +(-0.579824 + 4.03276i) q^{14} +(2.14243 - 2.25315i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(3.31843 - 0.721880i) q^{17} +(0.853911 + 0.639230i) q^{18} +(-0.665904 + 0.427950i) q^{19} +(2.22062 + 0.262392i) q^{20} +(-1.59601 - 5.43552i) q^{21} +(0.725365 - 0.725365i) q^{22} +(2.11147 + 4.30601i) q^{23} -1.39044i q^{24} +(-0.959836 - 4.90701i) q^{25} +(-1.84217 - 2.12598i) q^{26} +(-5.52525 - 1.20194i) q^{27} +(2.44160 - 3.26159i) q^{28} +(-1.65762 + 2.57930i) q^{29} +(-2.96018 + 0.950783i) q^{30} +(2.43591 - 2.81119i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-0.498457 + 1.33642i) q^{33} +(-3.25848 - 0.956775i) q^{34} +(-8.61332 - 2.96776i) q^{35} +(-0.443109 - 0.970274i) q^{36} +(4.51510 + 6.03147i) q^{37} +(0.789545 - 0.0564693i) q^{38} +(3.55795 + 1.62486i) q^{39} +(-1.82324 - 1.29453i) q^{40} +(1.56781 + 10.9044i) q^{41} +(-1.20418 + 5.53553i) q^{42} +(0.671990 - 9.39565i) q^{43} +(-0.984268 + 0.289007i) q^{44} +(-1.76267 + 1.60683i) q^{45} +(0.210454 - 4.79121i) q^{46} +(6.88532 + 6.88532i) q^{47} +(-0.666369 + 1.22036i) q^{48} +(-7.25473 + 6.28626i) q^{49} +(-1.50925 + 4.76678i) q^{50} +(4.67394 - 0.672011i) q^{51} +(0.597961 + 2.74878i) q^{52} +(3.40112 - 1.26855i) q^{53} +(4.27336 + 3.70289i) q^{54} +(1.28832 + 1.89783i) q^{55} +(-3.70605 + 1.69250i) q^{56} +(-0.965992 + 0.527472i) q^{57} +(2.69098 - 1.46939i) q^{58} +(-9.77148 + 4.46249i) q^{59} +(3.05375 + 0.584182i) q^{60} +(-2.54050 - 2.20136i) q^{61} +(-3.48520 + 1.29991i) q^{62} +(0.923777 + 4.24653i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(5.44313 - 3.15264i) q^{65} +(1.07796 - 0.934058i) q^{66} +(-3.86956 + 7.08656i) q^{67} +(2.40136 + 2.40136i) q^{68} +(2.50128 + 6.18145i) q^{69} +(6.13743 + 6.73267i) q^{70} +(-12.3949 + 3.63946i) q^{71} +(-0.0760951 + 1.06395i) q^{72} +(1.27916 - 5.88018i) q^{73} +(-1.07223 - 7.45756i) q^{74} +(-0.844456 - 6.90074i) q^{75} +(-0.720030 - 0.328826i) q^{76} +(4.16879 - 0.298158i) q^{77} +(-2.34402 - 3.13125i) q^{78} +(-0.460558 - 1.00848i) q^{79} +(0.979819 + 2.00996i) q^{80} +(-4.47337 - 1.31350i) q^{81} +(3.84988 - 10.3219i) q^{82} +(-6.62955 + 4.96282i) q^{83} +(3.70978 - 4.28131i) q^{84} +(3.47033 - 6.75443i) q^{85} +(-5.09265 + 7.92432i) q^{86} +(-2.55480 + 3.41281i) q^{87} +(1.00238 + 0.218054i) q^{88} +(5.74936 + 6.63511i) q^{89} +(2.31713 - 0.565524i) q^{90} -11.4611i q^{91} +(-2.48089 + 4.10429i) q^{92} +(3.65721 - 3.65721i) q^{93} +(-2.74332 - 9.34289i) q^{94} +(-0.207700 + 1.75776i) q^{95} +(1.16972 - 0.751731i) q^{96} +(1.32929 + 0.995090i) q^{97} +(9.38000 - 2.04049i) q^{98} +(0.454551 - 0.995328i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 1.38690 + 0.0991931i 0.800728 + 0.0572692i 0.465704 0.884941i \(-0.345801\pi\)
0.335024 + 0.942210i \(0.391256\pi\)
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 1.42130 1.72624i 0.635623 0.772000i
\(6\) −1.16972 0.751731i −0.477534 0.306893i
\(7\) −1.42380 3.81735i −0.538145 1.44282i −0.866935 0.498420i \(-0.833914\pi\)
0.328790 0.944403i \(-0.393359\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) −1.05581 0.151803i −0.351937 0.0506008i
\(10\) −2.07474 + 0.833933i −0.656091 + 0.263713i
\(11\) −0.289007 + 0.984268i −0.0871390 + 0.296768i −0.991519 0.129959i \(-0.958515\pi\)
0.904380 + 0.426727i \(0.140334\pi\)
\(12\) 0.666369 + 1.22036i 0.192364 + 0.352288i
\(13\) 2.63570 + 0.983067i 0.731013 + 0.272654i 0.687283 0.726390i \(-0.258803\pi\)
0.0437297 + 0.999043i \(0.486076\pi\)
\(14\) −0.579824 + 4.03276i −0.154964 + 1.07780i
\(15\) 2.14243 2.25315i 0.553173 0.581760i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 3.31843 0.721880i 0.804838 0.175082i 0.208716 0.977976i \(-0.433071\pi\)
0.596121 + 0.802894i \(0.296708\pi\)
\(18\) 0.853911 + 0.639230i 0.201269 + 0.150668i
\(19\) −0.665904 + 0.427950i −0.152769 + 0.0981785i −0.614792 0.788689i \(-0.710760\pi\)
0.462023 + 0.886868i \(0.347124\pi\)
\(20\) 2.22062 + 0.262392i 0.496546 + 0.0586727i
\(21\) −1.59601 5.43552i −0.348278 1.18613i
\(22\) 0.725365 0.725365i 0.154648 0.154648i
\(23\) 2.11147 + 4.30601i 0.440272 + 0.897864i
\(24\) 1.39044i 0.283823i
\(25\) −0.959836 4.90701i −0.191967 0.981401i
\(26\) −1.84217 2.12598i −0.361279 0.416938i
\(27\) −5.52525 1.20194i −1.06333 0.231314i
\(28\) 2.44160 3.26159i 0.461418 0.616383i
\(29\) −1.65762 + 2.57930i −0.307812 + 0.478964i −0.960352 0.278789i \(-0.910067\pi\)
0.652541 + 0.757754i \(0.273703\pi\)
\(30\) −2.96018 + 0.950783i −0.540453 + 0.173588i
\(31\) 2.43591 2.81119i 0.437502 0.504904i −0.493587 0.869696i \(-0.664315\pi\)
0.931089 + 0.364792i \(0.118860\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −0.498457 + 1.33642i −0.0867702 + 0.232640i
\(34\) −3.25848 0.956775i −0.558824 0.164086i
\(35\) −8.61332 2.96776i −1.45592 0.501643i
\(36\) −0.443109 0.970274i −0.0738516 0.161712i
\(37\) 4.51510 + 6.03147i 0.742279 + 0.991568i 0.999681 + 0.0252637i \(0.00804255\pi\)
−0.257402 + 0.966304i \(0.582867\pi\)
\(38\) 0.789545 0.0564693i 0.128081 0.00916054i
\(39\) 3.55795 + 1.62486i 0.569727 + 0.260186i
\(40\) −1.82324 1.29453i −0.288280 0.204682i
\(41\) 1.56781 + 10.9044i 0.244852 + 1.70298i 0.627115 + 0.778927i \(0.284236\pi\)
−0.382264 + 0.924053i \(0.624855\pi\)
\(42\) −1.20418 + 5.53553i −0.185809 + 0.854151i
\(43\) 0.671990 9.39565i 0.102478 1.43282i −0.642782 0.766049i \(-0.722220\pi\)
0.745259 0.666775i \(-0.232326\pi\)
\(44\) −0.984268 + 0.289007i −0.148384 + 0.0435695i
\(45\) −1.76267 + 1.60683i −0.262763 + 0.239532i
\(46\) 0.210454 4.79121i 0.0310297 0.706426i
\(47\) 6.88532 + 6.88532i 1.00433 + 1.00433i 0.999991 + 0.00433704i \(0.00138053\pi\)
0.00433704 + 0.999991i \(0.498619\pi\)
\(48\) −0.666369 + 1.22036i −0.0961820 + 0.176144i
\(49\) −7.25473 + 6.28626i −1.03639 + 0.898036i
\(50\) −1.50925 + 4.76678i −0.213440 + 0.674124i
\(51\) 4.67394 0.672011i 0.654482 0.0941004i
\(52\) 0.597961 + 2.74878i 0.0829222 + 0.381187i
\(53\) 3.40112 1.26855i 0.467179 0.174249i −0.104840 0.994489i \(-0.533433\pi\)
0.572019 + 0.820240i \(0.306160\pi\)
\(54\) 4.27336 + 3.70289i 0.581531 + 0.503900i
\(55\) 1.28832 + 1.89783i 0.173717 + 0.255904i
\(56\) −3.70605 + 1.69250i −0.495242 + 0.226170i
\(57\) −0.965992 + 0.527472i −0.127949 + 0.0698653i
\(58\) 2.69098 1.46939i 0.353343 0.192940i
\(59\) −9.77148 + 4.46249i −1.27214 + 0.580966i −0.933036 0.359783i \(-0.882851\pi\)
−0.339103 + 0.940749i \(0.610123\pi\)
\(60\) 3.05375 + 0.584182i 0.394238 + 0.0754176i
\(61\) −2.54050 2.20136i −0.325278 0.281855i 0.476878 0.878970i \(-0.341768\pi\)
−0.802156 + 0.597114i \(0.796314\pi\)
\(62\) −3.48520 + 1.29991i −0.442621 + 0.165089i
\(63\) 0.923777 + 4.24653i 0.116385 + 0.535013i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 5.44313 3.15264i 0.675137 0.391037i
\(66\) 1.07796 0.934058i 0.132688 0.114975i
\(67\) −3.86956 + 7.08656i −0.472741 + 0.865761i 0.527131 + 0.849784i \(0.323268\pi\)
−0.999872 + 0.0159772i \(0.994914\pi\)
\(68\) 2.40136 + 2.40136i 0.291208 + 0.291208i
\(69\) 2.50128 + 6.18145i 0.301118 + 0.744159i
\(70\) 6.13743 + 6.73267i 0.733563 + 0.804708i
\(71\) −12.3949 + 3.63946i −1.47100 + 0.431925i −0.916424 0.400208i \(-0.868938\pi\)
−0.554576 + 0.832133i \(0.687120\pi\)
\(72\) −0.0760951 + 1.06395i −0.00896790 + 0.125388i
\(73\) 1.27916 5.88018i 0.149714 0.688223i −0.839694 0.543060i \(-0.817266\pi\)
0.989408 0.145163i \(-0.0463708\pi\)
\(74\) −1.07223 7.45756i −0.124645 0.866923i
\(75\) −0.844456 6.90074i −0.0975094 0.796829i
\(76\) −0.720030 0.328826i −0.0825930 0.0377190i
\(77\) 4.16879 0.298158i 0.475077 0.0339782i
\(78\) −2.34402 3.13125i −0.265408 0.354544i
\(79\) −0.460558 1.00848i −0.0518168 0.113463i 0.881953 0.471338i \(-0.156229\pi\)
−0.933770 + 0.357875i \(0.883501\pi\)
\(80\) 0.979819 + 2.00996i 0.109547 + 0.224721i
\(81\) −4.47337 1.31350i −0.497041 0.145944i
\(82\) 3.84988 10.3219i 0.425148 1.13987i
\(83\) −6.62955 + 4.96282i −0.727688 + 0.544740i −0.897649 0.440711i \(-0.854727\pi\)
0.169962 + 0.985451i \(0.445636\pi\)
\(84\) 3.70978 4.28131i 0.404770 0.467130i
\(85\) 3.47033 6.75443i 0.376410 0.732620i
\(86\) −5.09265 + 7.92432i −0.549155 + 0.854501i
\(87\) −2.55480 + 3.41281i −0.273903 + 0.365892i
\(88\) 1.00238 + 0.218054i 0.106854 + 0.0232446i
\(89\) 5.74936 + 6.63511i 0.609431 + 0.703320i 0.973664 0.227987i \(-0.0732145\pi\)
−0.364234 + 0.931308i \(0.618669\pi\)
\(90\) 2.31713 0.565524i 0.244247 0.0596114i
\(91\) 11.4611i 1.20145i
\(92\) −2.48089 + 4.10429i −0.258651 + 0.427901i
\(93\) 3.65721 3.65721i 0.379235 0.379235i
\(94\) −2.74332 9.34289i −0.282952 0.963645i
\(95\) −0.207700 + 1.75776i −0.0213095 + 0.180342i
\(96\) 1.16972 0.751731i 0.119384 0.0767232i
\(97\) 1.32929 + 0.995090i 0.134968 + 0.101036i 0.664629 0.747174i \(-0.268590\pi\)
−0.529660 + 0.848210i \(0.677681\pi\)
\(98\) 9.38000 2.04049i 0.947523 0.206121i
\(99\) 0.454551 0.995328i 0.0456841 0.100034i
\(100\) 3.60911 3.46039i 0.360911 0.346039i
\(101\) −0.0315953 + 0.219750i −0.00314385 + 0.0218659i −0.991333 0.131373i \(-0.958061\pi\)
0.988189 + 0.153239i \(0.0489705\pi\)
\(102\) −4.42428 1.65017i −0.438069 0.163391i
\(103\) −2.64017 4.83510i −0.260143 0.476417i 0.714663 0.699469i \(-0.246580\pi\)
−0.974807 + 0.223052i \(0.928398\pi\)
\(104\) 0.792533 2.69912i 0.0777143 0.264670i
\(105\) −11.6514 4.97037i −1.13706 0.485059i
\(106\) −3.59304 0.516601i −0.348987 0.0501768i
\(107\) −0.834965 11.6743i −0.0807191 1.12860i −0.862841 0.505475i \(-0.831317\pi\)
0.782122 0.623125i \(-0.214137\pi\)
\(108\) −1.97603 5.29795i −0.190144 0.509796i
\(109\) 9.24960 + 5.94436i 0.885951 + 0.569366i 0.902593 0.430495i \(-0.141661\pi\)
−0.0166415 + 0.999862i \(0.505297\pi\)
\(110\) −0.221199 2.28312i −0.0210905 0.217687i
\(111\) 5.66372 + 8.81292i 0.537577 + 0.836486i
\(112\) 4.06385 + 0.290652i 0.383998 + 0.0274641i
\(113\) −6.42488 3.50825i −0.604402 0.330028i 0.147744 0.989026i \(-0.452799\pi\)
−0.752145 + 0.658997i \(0.770981\pi\)
\(114\) 1.10062 0.103083
\(115\) 10.4342 + 2.47519i 0.972998 + 0.230813i
\(116\) −3.06602 −0.284673
\(117\) −2.63357 1.43804i −0.243474 0.132947i
\(118\) 10.7149 + 0.766342i 0.986383 + 0.0705475i
\(119\) −7.48045 11.6398i −0.685732 1.06702i
\(120\) −2.40024 1.97623i −0.219111 0.180404i
\(121\) 8.36853 + 5.37813i 0.760775 + 0.488921i
\(122\) 1.17475 + 3.14962i 0.106357 + 0.285153i
\(123\) 1.09276 + 15.2788i 0.0985311 + 1.37765i
\(124\) 3.68187 + 0.529373i 0.330642 + 0.0475391i
\(125\) −9.83490 5.31740i −0.879660 0.475602i
\(126\) 1.22437 4.16981i 0.109075 0.371476i
\(127\) −9.58476 17.5532i −0.850510 1.55759i −0.829973 0.557803i \(-0.811644\pi\)
−0.0205363 0.999789i \(-0.506537\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 1.86397 12.9642i 0.164113 1.14143i
\(130\) −6.28822 + 0.158392i −0.551513 + 0.0138919i
\(131\) 3.44128 7.53534i 0.300666 0.658366i −0.697646 0.716442i \(-0.745769\pi\)
0.998312 + 0.0580762i \(0.0184966\pi\)
\(132\) −1.39375 + 0.303192i −0.121310 + 0.0263895i
\(133\) 2.58175 + 1.93267i 0.223866 + 0.167584i
\(134\) 6.79246 4.36525i 0.586779 0.377100i
\(135\) −9.92786 + 7.82961i −0.854454 + 0.673865i
\(136\) −0.956775 3.25848i −0.0820428 0.279412i
\(137\) 15.4835 15.4835i 1.32284 1.32284i 0.411376 0.911466i \(-0.365048\pi\)
0.911466 0.411376i \(-0.134952\pi\)
\(138\) 0.767134 6.62406i 0.0653027 0.563877i
\(139\) 12.2339i 1.03766i −0.854877 0.518831i \(-0.826367\pi\)
0.854877 0.518831i \(-0.173633\pi\)
\(140\) −2.16007 8.85048i −0.182559 0.748002i
\(141\) 8.86628 + 10.2322i 0.746676 + 0.861710i
\(142\) 12.6229 + 2.74595i 1.05929 + 0.230435i
\(143\) −1.72934 + 2.31013i −0.144615 + 0.193183i
\(144\) 0.576684 0.897337i 0.0480570 0.0747781i
\(145\) 2.09654 + 6.52740i 0.174108 + 0.542071i
\(146\) −3.94076 + 4.54788i −0.326140 + 0.376385i
\(147\) −10.6851 + 7.99879i −0.881295 + 0.659729i
\(148\) −2.63295 + 7.05921i −0.216427 + 0.580263i
\(149\) 16.3518 + 4.80132i 1.33959 + 0.393339i 0.871523 0.490354i \(-0.163133\pi\)
0.468067 + 0.883693i \(0.344951\pi\)
\(150\) −2.56601 + 6.46134i −0.209514 + 0.527566i
\(151\) 2.16009 + 4.72994i 0.175786 + 0.384917i 0.976932 0.213552i \(-0.0685032\pi\)
−0.801146 + 0.598469i \(0.795776\pi\)
\(152\) 0.474365 + 0.633677i 0.0384761 + 0.0513980i
\(153\) −3.61321 + 0.258422i −0.292111 + 0.0208922i
\(154\) −3.80175 1.73620i −0.306354 0.139907i
\(155\) −1.39065 8.20050i −0.111700 0.658680i
\(156\) 0.556652 + 3.87160i 0.0445678 + 0.309976i
\(157\) −4.05147 + 18.6243i −0.323342 + 1.48638i 0.472745 + 0.881199i \(0.343263\pi\)
−0.796087 + 0.605182i \(0.793100\pi\)
\(158\) −0.0790916 + 1.10584i −0.00629219 + 0.0879763i
\(159\) 4.84284 1.42199i 0.384062 0.112771i
\(160\) 0.103307 2.23368i 0.00816710 0.176588i
\(161\) 13.4312 14.1911i 1.05853 1.11842i
\(162\) 3.29669 + 3.29669i 0.259012 + 0.259012i
\(163\) −6.87814 + 12.5964i −0.538737 + 0.986624i 0.456554 + 0.889696i \(0.349084\pi\)
−0.995291 + 0.0969282i \(0.969098\pi\)
\(164\) −8.32573 + 7.21429i −0.650131 + 0.563341i
\(165\) 1.59852 + 2.75990i 0.124445 + 0.214858i
\(166\) 8.19704 1.17856i 0.636214 0.0914737i
\(167\) 2.51615 + 11.5665i 0.194705 + 0.895046i 0.965995 + 0.258561i \(0.0832485\pi\)
−0.771289 + 0.636485i \(0.780388\pi\)
\(168\) −5.30781 + 1.97971i −0.409507 + 0.152738i
\(169\) −3.84423 3.33104i −0.295710 0.256234i
\(170\) −6.28289 + 4.26507i −0.481875 + 0.327116i
\(171\) 0.768032 0.350748i 0.0587328 0.0268224i
\(172\) 8.26743 4.51436i 0.630386 0.344217i
\(173\) −11.9013 + 6.49861i −0.904840 + 0.494080i −0.863091 0.505048i \(-0.831475\pi\)
−0.0417489 + 0.999128i \(0.513293\pi\)
\(174\) 3.87788 1.77097i 0.293981 0.134257i
\(175\) −17.3652 + 10.6506i −1.31268 + 0.805111i
\(176\) −0.775264 0.671770i −0.0584377 0.0506366i
\(177\) −13.9947 + 5.21976i −1.05191 + 0.392341i
\(178\) −1.86622 8.57887i −0.139879 0.643014i
\(179\) −16.3989 + 2.35780i −1.22571 + 0.176230i −0.724610 0.689159i \(-0.757980\pi\)
−0.501100 + 0.865390i \(0.667071\pi\)
\(180\) −2.30472 0.614132i −0.171784 0.0457747i
\(181\) −3.96973 + 3.43979i −0.295068 + 0.255678i −0.789795 0.613370i \(-0.789813\pi\)
0.494728 + 0.869048i \(0.335268\pi\)
\(182\) −5.49272 + 10.0592i −0.407147 + 0.745635i
\(183\) −3.30507 3.30507i −0.244318 0.244318i
\(184\) 4.14440 2.41328i 0.305529 0.177909i
\(185\) 16.8291 + 0.778337i 1.23730 + 0.0572245i
\(186\) −4.96257 + 1.45714i −0.363874 + 0.106843i
\(187\) −0.248527 + 3.47485i −0.0181741 + 0.254107i
\(188\) −2.06982 + 9.51479i −0.150957 + 0.693937i
\(189\) 3.27860 + 22.8031i 0.238483 + 1.65868i
\(190\) 1.02470 1.44321i 0.0743393 0.104701i
\(191\) 14.5671 + 6.65256i 1.05404 + 0.481363i 0.865607 0.500724i \(-0.166933\pi\)
0.188430 + 0.982087i \(0.439660\pi\)
\(192\) −1.38690 + 0.0991931i −0.100091 + 0.00715865i
\(193\) −12.8866 17.2145i −0.927597 1.23913i −0.970759 0.240057i \(-0.922834\pi\)
0.0431614 0.999068i \(-0.486257\pi\)
\(194\) −0.689790 1.51043i −0.0495240 0.108442i
\(195\) 7.86180 3.83248i 0.562995 0.274449i
\(196\) −9.21054 2.70446i −0.657895 0.193176i
\(197\) 9.13962 24.5043i 0.651171 1.74586i −0.0148135 0.999890i \(-0.504715\pi\)
0.665984 0.745966i \(-0.268012\pi\)
\(198\) −0.875960 + 0.655735i −0.0622518 + 0.0466011i
\(199\) −1.40634 + 1.62301i −0.0996930 + 0.115052i −0.803404 0.595435i \(-0.796980\pi\)
0.703711 + 0.710487i \(0.251525\pi\)
\(200\) −4.82603 + 1.30745i −0.341252 + 0.0924508i
\(201\) −6.06963 + 9.44453i −0.428119 + 0.666165i
\(202\) 0.133045 0.177728i 0.00936105 0.0125049i
\(203\) 12.2062 + 2.65530i 0.856709 + 0.186366i
\(204\) 3.09225 + 3.56865i 0.216501 + 0.249856i
\(205\) 21.0520 + 12.7919i 1.47033 + 0.893428i
\(206\) 5.50896i 0.383828i
\(207\) −1.57565 4.86685i −0.109515 0.338269i
\(208\) −1.98914 + 1.98914i −0.137922 + 0.137922i
\(209\) −0.228767 0.779109i −0.0158241 0.0538921i
\(210\) 7.84418 + 9.94633i 0.541300 + 0.686362i
\(211\) 8.39156 5.39293i 0.577699 0.371265i −0.218923 0.975742i \(-0.570254\pi\)
0.796622 + 0.604477i \(0.206618\pi\)
\(212\) 2.90596 + 2.17537i 0.199582 + 0.149405i
\(213\) −17.5515 + 3.81809i −1.20261 + 0.261611i
\(214\) −4.86208 + 10.6465i −0.332365 + 0.727778i
\(215\) −15.2641 14.5140i −1.04100 0.989848i
\(216\) −0.804715 + 5.59692i −0.0547539 + 0.380822i
\(217\) −14.1995 5.29615i −0.963927 0.359526i
\(218\) −5.26936 9.65010i −0.356886 0.653587i
\(219\) 2.35734 8.02835i 0.159294 0.542505i
\(220\) −0.900040 + 2.10985i −0.0606807 + 0.142246i
\(221\) 9.45606 + 1.35958i 0.636083 + 0.0914550i
\(222\) −0.747345 10.4492i −0.0501585 0.701308i
\(223\) −2.44978 6.56812i −0.164049 0.439834i 0.828750 0.559618i \(-0.189052\pi\)
−0.992800 + 0.119785i \(0.961780\pi\)
\(224\) −3.42746 2.20270i −0.229007 0.147174i
\(225\) 0.268508 + 5.32657i 0.0179005 + 0.355105i
\(226\) 3.95766 + 6.15823i 0.263259 + 0.409640i
\(227\) 5.82619 + 0.416698i 0.386698 + 0.0276572i 0.263335 0.964704i \(-0.415178\pi\)
0.123363 + 0.992362i \(0.460632\pi\)
\(228\) −0.965992 0.527472i −0.0639744 0.0349327i
\(229\) 1.11084 0.0734062 0.0367031 0.999326i \(-0.488314\pi\)
0.0367031 + 0.999326i \(0.488314\pi\)
\(230\) −7.97168 7.17302i −0.525637 0.472975i
\(231\) 5.81127 0.382353
\(232\) 2.69098 + 1.46939i 0.176672 + 0.0964701i
\(233\) 14.2513 + 1.01927i 0.933635 + 0.0667749i 0.529862 0.848084i \(-0.322244\pi\)
0.403774 + 0.914859i \(0.367698\pi\)
\(234\) 1.62225 + 2.52427i 0.106050 + 0.165017i
\(235\) 21.6718 2.09967i 1.41371 0.136967i
\(236\) −9.03694 5.80769i −0.588255 0.378048i
\(237\) −0.538714 1.44435i −0.0349932 0.0938205i
\(238\) 0.987068 + 13.8010i 0.0639821 + 0.894587i
\(239\) 2.28684 + 0.328799i 0.147924 + 0.0212682i 0.215879 0.976420i \(-0.430738\pi\)
−0.0679551 + 0.997688i \(0.521647\pi\)
\(240\) 1.15954 + 2.88481i 0.0748478 + 0.186214i
\(241\) 1.72920 5.88911i 0.111387 0.379351i −0.884865 0.465848i \(-0.845749\pi\)
0.996252 + 0.0864975i \(0.0275675\pi\)
\(242\) −4.76742 8.73088i −0.306461 0.561242i
\(243\) 9.82003 + 3.66268i 0.629956 + 0.234961i
\(244\) 0.478401 3.32735i 0.0306265 0.213012i
\(245\) 0.540499 + 21.4581i 0.0345312 + 1.37090i
\(246\) 6.36327 13.9336i 0.405707 0.888375i
\(247\) −2.17583 + 0.473323i −0.138445 + 0.0301168i
\(248\) −2.97780 2.22915i −0.189091 0.141551i
\(249\) −9.68680 + 6.22533i −0.613876 + 0.394514i
\(250\) 6.08353 + 9.38033i 0.384756 + 0.593264i
\(251\) −3.89324 13.2592i −0.245739 0.836911i −0.986306 0.164928i \(-0.947261\pi\)
0.740566 0.671983i \(-0.234557\pi\)
\(252\) −3.07298 + 3.07298i −0.193580 + 0.193580i
\(253\) −4.84850 + 0.833789i −0.304822 + 0.0524199i
\(254\) 19.9995i 1.25488i
\(255\) 5.48300 9.02349i 0.343359 0.565073i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −20.6441 4.49085i −1.28774 0.280132i −0.483980 0.875079i \(-0.660809\pi\)
−0.803765 + 0.594947i \(0.797173\pi\)
\(258\) −7.84904 + 10.4851i −0.488660 + 0.652773i
\(259\) 16.5957 25.8233i 1.03120 1.60458i
\(260\) 5.59495 + 2.87461i 0.346984 + 0.178275i
\(261\) 2.14167 2.47162i 0.132566 0.152990i
\(262\) −6.63164 + 4.96438i −0.409704 + 0.306701i
\(263\) −0.164821 + 0.441902i −0.0101633 + 0.0272488i −0.941932 0.335803i \(-0.890992\pi\)
0.931769 + 0.363052i \(0.118265\pi\)
\(264\) 1.36857 + 0.401848i 0.0842296 + 0.0247321i
\(265\) 2.64416 7.67414i 0.162430 0.471419i
\(266\) −1.33972 2.93357i −0.0821432 0.179869i
\(267\) 7.31563 + 9.77254i 0.447709 + 0.598070i
\(268\) −8.05363 + 0.576007i −0.491954 + 0.0351852i
\(269\) 6.81159 + 3.11075i 0.415310 + 0.189666i 0.612101 0.790780i \(-0.290325\pi\)
−0.196791 + 0.980445i \(0.563052\pi\)
\(270\) 12.4658 2.11396i 0.758645 0.128652i
\(271\) −0.308941 2.14873i −0.0187668 0.130526i 0.978284 0.207268i \(-0.0664573\pi\)
−0.997051 + 0.0767421i \(0.975548\pi\)
\(272\) −0.721880 + 3.31843i −0.0437704 + 0.201209i
\(273\) 1.13686 15.8954i 0.0688060 0.962034i
\(274\) −21.0099 + 6.16908i −1.26926 + 0.372688i
\(275\) 5.10721 + 0.473424i 0.307976 + 0.0285486i
\(276\) −3.84787 + 5.44615i −0.231615 + 0.327820i
\(277\) −23.0849 23.0849i −1.38703 1.38703i −0.831480 0.555555i \(-0.812506\pi\)
−0.555555 0.831480i \(-0.687494\pi\)
\(278\) −5.86306 + 10.7374i −0.351643 + 0.643986i
\(279\) −2.99860 + 2.59830i −0.179521 + 0.155556i
\(280\) −2.34573 + 8.80309i −0.140184 + 0.526085i
\(281\) −13.1243 + 1.88699i −0.782929 + 0.112568i −0.522176 0.852837i \(-0.674880\pi\)
−0.260753 + 0.965406i \(0.583971\pi\)
\(282\) −2.87796 13.2298i −0.171380 0.787822i
\(283\) −27.1415 + 10.1233i −1.61340 + 0.601766i −0.984447 0.175679i \(-0.943788\pi\)
−0.628950 + 0.777446i \(0.716515\pi\)
\(284\) −9.76288 8.45959i −0.579321 0.501984i
\(285\) −0.462416 + 2.41723i −0.0273912 + 0.143184i
\(286\) 2.62493 1.19877i 0.155215 0.0708845i
\(287\) 39.3936 21.5106i 2.32533 1.26973i
\(288\) −0.936191 + 0.511199i −0.0551656 + 0.0301227i
\(289\) −4.97287 + 2.27104i −0.292522 + 0.133590i
\(290\) 1.28816 6.73373i 0.0756434 0.395418i
\(291\) 1.74488 + 1.51195i 0.102287 + 0.0886319i
\(292\) 5.63829 2.10297i 0.329956 0.123067i
\(293\) 4.61201 + 21.2011i 0.269436 + 1.23858i 0.890560 + 0.454866i \(0.150313\pi\)
−0.621123 + 0.783713i \(0.713323\pi\)
\(294\) 13.2115 1.89953i 0.770512 0.110783i
\(295\) −6.18483 + 23.2105i −0.360095 + 1.35137i
\(296\) 5.69400 4.93388i 0.330957 0.286776i
\(297\) 2.77987 5.09096i 0.161305 0.295407i
\(298\) −12.0506 12.0506i −0.698072 0.698072i
\(299\) 1.33213 + 13.4251i 0.0770388 + 0.776392i
\(300\) 5.34873 4.44122i 0.308809 0.256414i
\(301\) −36.8233 + 10.8123i −2.12246 + 0.623210i
\(302\) 0.370952 5.18659i 0.0213459 0.298455i
\(303\) −0.0656172 + 0.301637i −0.00376961 + 0.0173286i
\(304\) −0.112651 0.783504i −0.00646097 0.0449371i
\(305\) −7.41089 + 1.25675i −0.424346 + 0.0719611i
\(306\) 3.29509 + 1.50482i 0.188368 + 0.0860247i
\(307\) 16.0256 1.14617i 0.914628 0.0654155i 0.393915 0.919147i \(-0.371121\pi\)
0.520713 + 0.853732i \(0.325666\pi\)
\(308\) 2.50464 + 3.34581i 0.142715 + 0.190645i
\(309\) −3.18204 6.96769i −0.181020 0.396378i
\(310\) −2.70954 + 7.86387i −0.153891 + 0.446638i
\(311\) 6.84774 + 2.01068i 0.388300 + 0.114015i 0.470055 0.882637i \(-0.344234\pi\)
−0.0817548 + 0.996652i \(0.526052\pi\)
\(312\) 1.36690 3.66480i 0.0773854 0.207478i
\(313\) 20.9054 15.6496i 1.18165 0.884569i 0.186449 0.982465i \(-0.440302\pi\)
0.995197 + 0.0978957i \(0.0312112\pi\)
\(314\) 12.4816 14.4045i 0.704376 0.812893i
\(315\) 8.64351 + 4.44092i 0.487007 + 0.250217i
\(316\) 0.599392 0.932672i 0.0337184 0.0524669i
\(317\) −13.7773 + 18.4044i −0.773812 + 1.03369i 0.224434 + 0.974489i \(0.427947\pi\)
−0.998246 + 0.0592025i \(0.981144\pi\)
\(318\) −4.93195 1.07288i −0.276570 0.0601641i
\(319\) −2.05966 2.37698i −0.115319 0.133085i
\(320\) −1.16116 + 1.91094i −0.0649108 + 0.106825i
\(321\) 16.2740i 0.908325i
\(322\) −18.5894 + 6.01834i −1.03595 + 0.335389i
\(323\) −1.90083 + 1.90083i −0.105765 + 0.105765i
\(324\) −1.31350 4.47337i −0.0729722 0.248521i
\(325\) 2.29407 13.8770i 0.127252 0.769757i
\(326\) 12.0736 7.75923i 0.668695 0.429744i
\(327\) 12.2386 + 9.16173i 0.676799 + 0.506645i
\(328\) 10.7648 2.34173i 0.594385 0.129300i
\(329\) 16.4804 36.0870i 0.908593 1.98954i
\(330\) −0.0803113 3.18840i −0.00442099 0.175515i
\(331\) −4.30281 + 29.9267i −0.236504 + 1.64492i 0.432481 + 0.901643i \(0.357638\pi\)
−0.668985 + 0.743276i \(0.733271\pi\)
\(332\) −7.75919 2.89403i −0.425841 0.158831i
\(333\) −3.85150 7.05349i −0.211061 0.386529i
\(334\) 3.33488 11.3576i 0.182477 0.621459i
\(335\) 6.73335 + 16.7519i 0.367882 + 0.915254i
\(336\) 5.60733 + 0.806212i 0.305905 + 0.0439825i
\(337\) 1.22606 + 17.1426i 0.0667879 + 0.933817i 0.914817 + 0.403868i \(0.132334\pi\)
−0.848029 + 0.529949i \(0.822211\pi\)
\(338\) 1.77760 + 4.76593i 0.0966887 + 0.259232i
\(339\) −8.56267 5.50290i −0.465061 0.298876i
\(340\) 7.55839 0.732291i 0.409911 0.0397141i
\(341\) 2.06297 + 3.21004i 0.111716 + 0.173833i
\(342\) −0.842181 0.0602340i −0.0455399 0.00325708i
\(343\) 9.29503 + 5.07547i 0.501885 + 0.274050i
\(344\) −9.41965 −0.507874
\(345\) 14.2257 + 4.46785i 0.765888 + 0.240541i
\(346\) 13.5600 0.728989
\(347\) 12.6341 + 6.89875i 0.678235 + 0.370344i 0.781148 0.624346i \(-0.214634\pi\)
−0.102913 + 0.994690i \(0.532816\pi\)
\(348\) −4.25227 0.304128i −0.227946 0.0163030i
\(349\) 9.89283 + 15.3935i 0.529551 + 0.823998i 0.998236 0.0593678i \(-0.0189085\pi\)
−0.468685 + 0.883365i \(0.655272\pi\)
\(350\) 20.3453 1.02559i 1.08750 0.0548202i
\(351\) −13.3813 8.59966i −0.714242 0.459016i
\(352\) 0.358488 + 0.961143i 0.0191075 + 0.0512291i
\(353\) −1.70302 23.8113i −0.0906426 1.26735i −0.815625 0.578581i \(-0.803607\pi\)
0.724982 0.688768i \(-0.241848\pi\)
\(354\) 14.7844 + 2.12568i 0.785784 + 0.112979i
\(355\) −11.3342 + 26.5693i −0.601556 + 1.41015i
\(356\) −2.47347 + 8.42388i −0.131094 + 0.446465i
\(357\) −9.22005 16.8853i −0.487977 0.893663i
\(358\) 15.5229 + 5.78975i 0.820412 + 0.305998i
\(359\) 3.48554 24.2424i 0.183960 1.27947i −0.663327 0.748330i \(-0.730856\pi\)
0.847286 0.531137i \(-0.178235\pi\)
\(360\) 1.72848 + 1.64355i 0.0910990 + 0.0866224i
\(361\) −7.63260 + 16.7131i −0.401716 + 0.879635i
\(362\) 5.13267 1.11654i 0.269767 0.0586842i
\(363\) 11.0728 + 8.28903i 0.581174 + 0.435061i
\(364\) 9.64169 6.19634i 0.505362 0.324776i
\(365\) −8.33257 10.5656i −0.436147 0.553029i
\(366\) 1.31684 + 4.48474i 0.0688322 + 0.234421i
\(367\) 15.8158 15.8158i 0.825579 0.825579i −0.161322 0.986902i \(-0.551576\pi\)
0.986902 + 0.161322i \(0.0515759\pi\)
\(368\) −4.79402 + 0.131884i −0.249905 + 0.00687491i
\(369\) 11.7510i 0.611731i
\(370\) −14.3975 8.74846i −0.748492 0.454811i
\(371\) −9.68501 11.1771i −0.502821 0.580286i
\(372\) 5.05388 + 1.09940i 0.262032 + 0.0570015i
\(373\) 0.957411 1.27895i 0.0495729 0.0662216i −0.775070 0.631876i \(-0.782285\pi\)
0.824643 + 0.565654i \(0.191376\pi\)
\(374\) 1.88345 2.93070i 0.0973907 0.151543i
\(375\) −13.1126 8.35026i −0.677131 0.431205i
\(376\) 6.37659 7.35897i 0.328847 0.379510i
\(377\) −6.90461 + 5.16873i −0.355606 + 0.266203i
\(378\) 8.05083 21.5851i 0.414090 1.11022i
\(379\) −0.711330 0.208865i −0.0365385 0.0107287i 0.263412 0.964683i \(-0.415152\pi\)
−0.299951 + 0.953955i \(0.596970\pi\)
\(380\) −1.59101 + 0.775587i −0.0816171 + 0.0397868i
\(381\) −11.5520 25.2953i −0.591825 1.29591i
\(382\) −9.59699 12.8201i −0.491025 0.655932i
\(383\) −11.4141 + 0.816349i −0.583231 + 0.0417135i −0.359838 0.933015i \(-0.617168\pi\)
−0.223393 + 0.974728i \(0.571713\pi\)
\(384\) 1.26479 + 0.577611i 0.0645436 + 0.0294761i
\(385\) 5.41039 7.62011i 0.275739 0.388357i
\(386\) 3.06027 + 21.2847i 0.155764 + 1.08336i
\(387\) −2.13578 + 9.81801i −0.108568 + 0.499078i
\(388\) −0.118457 + 1.65625i −0.00601377 + 0.0840835i
\(389\) −25.5010 + 7.48778i −1.29295 + 0.379645i −0.854661 0.519187i \(-0.826235\pi\)
−0.438292 + 0.898832i \(0.644417\pi\)
\(390\) −8.73685 0.404075i −0.442407 0.0204611i
\(391\) 10.1152 + 12.7649i 0.511547 + 0.645551i
\(392\) 6.78778 + 6.78778i 0.342835 + 0.342835i
\(393\) 5.52016 10.1094i 0.278455 0.509953i
\(394\) −19.7653 + 17.1267i −0.995761 + 0.862832i
\(395\) −2.39547 0.638315i −0.120529 0.0321171i
\(396\) 1.08307 0.155722i 0.0544264 0.00782534i
\(397\) −1.15007 5.28681i −0.0577206 0.265337i 0.939238 0.343266i \(-0.111533\pi\)
−0.996959 + 0.0779283i \(0.975169\pi\)
\(398\) 2.01214 0.750490i 0.100860 0.0376187i
\(399\) 3.38892 + 2.93652i 0.169658 + 0.147010i
\(400\) 4.86230 + 1.16535i 0.243115 + 0.0582673i
\(401\) −22.5036 + 10.2771i −1.12378 + 0.513212i −0.888574 0.458734i \(-0.848303\pi\)
−0.235204 + 0.971946i \(0.575576\pi\)
\(402\) 9.85346 5.38040i 0.491446 0.268350i
\(403\) 9.18392 5.01480i 0.457483 0.249805i
\(404\) −0.201947 + 0.0922262i −0.0100472 + 0.00458842i
\(405\) −8.62540 + 5.85525i −0.428600 + 0.290950i
\(406\) −9.44059 8.18032i −0.468529 0.405982i
\(407\) −7.24149 + 2.70093i −0.358947 + 0.133880i
\(408\) −1.00373 4.61409i −0.0496922 0.228432i
\(409\) −13.3095 + 1.91361i −0.658110 + 0.0946220i −0.463276 0.886214i \(-0.653326\pi\)
−0.194834 + 0.980836i \(0.562417\pi\)
\(410\) −12.3463 21.3163i −0.609743 1.05274i
\(411\) 23.0099 19.9382i 1.13499 0.983478i
\(412\) 2.64017 4.83510i 0.130072 0.238208i
\(413\) 30.9475 + 30.9475i 1.52283 + 1.52283i
\(414\) −0.949517 + 5.02666i −0.0466662 + 0.247047i
\(415\) −0.855516 + 18.4979i −0.0419956 + 0.908024i
\(416\) 2.69912 0.792533i 0.132335 0.0388571i
\(417\) 1.21351 16.9671i 0.0594260 0.830884i
\(418\) −0.172603 + 0.793444i −0.00844229 + 0.0388086i
\(419\) −0.706224 4.91189i −0.0345013 0.239962i 0.965272 0.261246i \(-0.0841335\pi\)
−0.999773 + 0.0212846i \(0.993224\pi\)
\(420\) −2.11790 12.4890i −0.103343 0.609401i
\(421\) −11.6038 5.29927i −0.565534 0.258271i 0.112067 0.993701i \(-0.464253\pi\)
−0.677601 + 0.735430i \(0.736980\pi\)
\(422\) −9.94966 + 0.711613i −0.484342 + 0.0346408i
\(423\) −6.22438 8.31480i −0.302640 0.404279i
\(424\) −1.50795 3.30195i −0.0732326 0.160357i
\(425\) −6.72742 15.5907i −0.326328 0.756259i
\(426\) 17.2344 + 5.06047i 0.835008 + 0.245180i
\(427\) −4.78620 + 12.8323i −0.231620 + 0.620998i
\(428\) 9.36966 7.01404i 0.452900 0.339036i
\(429\) −2.62757 + 3.03238i −0.126860 + 0.146405i
\(430\) 6.44114 + 20.0540i 0.310619 + 0.967088i
\(431\) 8.38407 13.0459i 0.403847 0.628397i −0.578453 0.815716i \(-0.696343\pi\)
0.982299 + 0.187318i \(0.0599796\pi\)
\(432\) 3.38860 4.52664i 0.163034 0.217788i
\(433\) −27.2094 5.91904i −1.30760 0.284451i −0.495825 0.868423i \(-0.665134\pi\)
−0.811774 + 0.583972i \(0.801498\pi\)
\(434\) 9.92446 + 11.4534i 0.476389 + 0.549782i
\(435\) 2.26022 + 9.26082i 0.108369 + 0.444022i
\(436\) 10.9950i 0.526566i
\(437\) −3.24879 1.96378i −0.155411 0.0939403i
\(438\) −5.91656 + 5.91656i −0.282704 + 0.282704i
\(439\) 4.83218 + 16.4569i 0.230627 + 0.785445i 0.990754 + 0.135670i \(0.0433186\pi\)
−0.760127 + 0.649775i \(0.774863\pi\)
\(440\) 1.80109 1.42043i 0.0858636 0.0677163i
\(441\) 8.61388 5.53580i 0.410185 0.263610i
\(442\) −7.64781 5.72508i −0.363769 0.272314i
\(443\) −26.0096 + 5.65803i −1.23575 + 0.268821i −0.782550 0.622587i \(-0.786082\pi\)
−0.453201 + 0.891408i \(0.649718\pi\)
\(444\) −4.35186 + 9.52925i −0.206530 + 0.452238i
\(445\) 19.6254 0.494336i 0.930331 0.0234338i
\(446\) −0.997642 + 6.93875i −0.0472397 + 0.328560i
\(447\) 22.2020 + 8.28093i 1.05012 + 0.391675i
\(448\) 1.95257 + 3.57587i 0.0922504 + 0.168944i
\(449\) −3.04421 + 10.3676i −0.143665 + 0.489279i −0.999614 0.0277818i \(-0.991156\pi\)
0.855949 + 0.517061i \(0.172974\pi\)
\(450\) 2.31709 4.80370i 0.109229 0.226449i
\(451\) −11.1860 1.60830i −0.526726 0.0757318i
\(452\) −0.522225 7.30165i −0.0245634 0.343441i
\(453\) 2.52666 + 6.77422i 0.118713 + 0.318281i
\(454\) −4.91383 3.15792i −0.230617 0.148209i
\(455\) −19.7847 16.2896i −0.927519 0.763669i
\(456\) 0.595041 + 0.925902i 0.0278653 + 0.0433593i
\(457\) 1.70372 + 0.121853i 0.0796968 + 0.00570003i 0.111131 0.993806i \(-0.464553\pi\)
−0.0314338 + 0.999506i \(0.510007\pi\)
\(458\) −0.974959 0.532368i −0.0455568 0.0248759i
\(459\) −19.2028 −0.896310
\(460\) 3.55891 + 10.1160i 0.165935 + 0.471662i
\(461\) −10.8674 −0.506147 −0.253074 0.967447i \(-0.581441\pi\)
−0.253074 + 0.967447i \(0.581441\pi\)
\(462\) −5.10043 2.78504i −0.237293 0.129572i
\(463\) 13.9981 + 1.00116i 0.650547 + 0.0465280i 0.392713 0.919661i \(-0.371537\pi\)
0.257834 + 0.966189i \(0.416991\pi\)
\(464\) −1.65762 2.57930i −0.0769529 0.119741i
\(465\) −1.11526 11.5112i −0.0517189 0.533820i
\(466\) −12.0196 7.72453i −0.556797 0.357832i
\(467\) 5.38818 + 14.4463i 0.249335 + 0.668494i 0.999970 + 0.00777596i \(0.00247519\pi\)
−0.750635 + 0.660718i \(0.770252\pi\)
\(468\) −0.214061 2.99296i −0.00989497 0.138350i
\(469\) 32.5614 + 4.68162i 1.50354 + 0.216177i
\(470\) −20.0272 8.54337i −0.923785 0.394076i
\(471\) −7.46639 + 25.4282i −0.344033 + 1.17167i
\(472\) 5.14821 + 9.42823i 0.236965 + 0.433970i
\(473\) 9.05364 + 3.37683i 0.416287 + 0.155267i
\(474\) −0.219384 + 1.52585i −0.0100767 + 0.0700847i
\(475\) 2.73911 + 2.85683i 0.125679 + 0.131080i
\(476\) 5.74779 12.5859i 0.263450 0.576874i
\(477\) −3.78350 + 0.823050i −0.173235 + 0.0376849i
\(478\) −1.84954 1.38455i −0.0845959 0.0633277i
\(479\) −14.1802 + 9.11308i −0.647911 + 0.416387i −0.822902 0.568183i \(-0.807647\pi\)
0.174991 + 0.984570i \(0.444010\pi\)
\(480\) 0.364842 3.08765i 0.0166527 0.140931i
\(481\) 5.97114 + 20.3358i 0.272260 + 0.927234i
\(482\) −4.34003 + 4.34003i −0.197683 + 0.197683i
\(483\) 20.0354 18.3494i 0.911644 0.834926i
\(484\) 9.94769i 0.452168i
\(485\) 3.60708 0.880352i 0.163789 0.0399747i
\(486\) −6.86350 7.92090i −0.311335 0.359299i
\(487\) 13.2475 + 2.88182i 0.600302 + 0.130588i 0.502440 0.864612i \(-0.332436\pi\)
0.0978622 + 0.995200i \(0.468800\pi\)
\(488\) −2.01451 + 2.69107i −0.0911927 + 0.121819i
\(489\) −10.7888 + 16.7877i −0.487885 + 0.759164i
\(490\) 9.80937 19.0923i 0.443142 0.862503i
\(491\) 3.22991 3.72752i 0.145764 0.168220i −0.678173 0.734903i \(-0.737228\pi\)
0.823936 + 0.566682i \(0.191773\pi\)
\(492\) −12.2626 + 9.17965i −0.552840 + 0.413851i
\(493\) −3.63874 + 9.75584i −0.163881 + 0.439381i
\(494\) 2.13652 + 0.627339i 0.0961265 + 0.0282253i
\(495\) −1.07213 2.19932i −0.0481885 0.0988522i
\(496\) 1.54523 + 3.38359i 0.0693830 + 0.151928i
\(497\) 31.5409 + 42.1337i 1.41480 + 1.88996i
\(498\) 11.4854 0.821451i 0.514673 0.0368101i
\(499\) 25.8072 + 11.7858i 1.15529 + 0.527603i 0.898547 0.438877i \(-0.144624\pi\)
0.256742 + 0.966480i \(0.417351\pi\)
\(500\) −0.843870 11.1484i −0.0377390 0.498574i
\(501\) 2.34233 + 16.2912i 0.104647 + 0.727839i
\(502\) −2.93742 + 13.5031i −0.131104 + 0.602674i
\(503\) −0.0324759 + 0.454073i −0.00144803 + 0.0202461i −0.998125 0.0612125i \(-0.980503\pi\)
0.996677 + 0.0814586i \(0.0259578\pi\)
\(504\) 4.16981 1.22437i 0.185738 0.0545377i
\(505\) 0.334436 + 0.366871i 0.0148822 + 0.0163255i
\(506\) 4.65502 + 1.59184i 0.206941 + 0.0707658i
\(507\) −5.00115 5.00115i −0.222109 0.222109i
\(508\) 9.58476 17.5532i 0.425255 0.778796i
\(509\) 9.93188 8.60602i 0.440223 0.381455i −0.406359 0.913713i \(-0.633202\pi\)
0.846582 + 0.532258i \(0.178656\pi\)
\(510\) −9.13681 + 5.29200i −0.404585 + 0.234334i
\(511\) −24.2680 + 3.48921i −1.07355 + 0.154354i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 4.19366 1.56415i 0.185154 0.0690590i
\(514\) 15.9667 + 13.8352i 0.704260 + 0.610244i
\(515\) −12.0990 2.31454i −0.533147 0.101991i
\(516\) 11.9139 5.44090i 0.524480 0.239522i
\(517\) −8.76691 + 4.78710i −0.385568 + 0.210536i
\(518\) −26.9415 + 14.7112i −1.18374 + 0.646371i
\(519\) −17.1506 + 7.83240i −0.752826 + 0.343804i
\(520\) −3.53292 5.20435i −0.154929 0.228226i
\(521\) −28.2126 24.4464i −1.23602 1.07102i −0.994936 0.100511i \(-0.967952\pi\)
−0.241082 0.970505i \(-0.577502\pi\)
\(522\) −3.06422 + 1.14290i −0.134117 + 0.0500232i
\(523\) −5.18409 23.8309i −0.226685 1.04205i −0.939991 0.341200i \(-0.889167\pi\)
0.713306 0.700853i \(-0.247197\pi\)
\(524\) 8.19963 1.17893i 0.358202 0.0515017i
\(525\) −25.1402 + 13.0489i −1.09721 + 0.569499i
\(526\) 0.356441 0.308858i 0.0155416 0.0134668i
\(527\) 6.05405 11.0872i 0.263719 0.482964i
\(528\) −1.00858 1.00858i −0.0438928 0.0438928i
\(529\) −14.0834 + 18.1840i −0.612320 + 0.790610i
\(530\) −5.99855 + 5.46822i −0.260561 + 0.237524i
\(531\) 10.9942 3.22820i 0.477109 0.140092i
\(532\) −0.230069 + 3.21679i −0.00997477 + 0.139465i
\(533\) −6.58745 + 30.2820i −0.285334 + 1.31166i
\(534\) −1.73730 12.0832i −0.0751801 0.522889i
\(535\) −21.3395 15.1513i −0.922586 0.655049i
\(536\) 7.34456 + 3.35415i 0.317237 + 0.144877i
\(537\) −22.9775 + 1.64338i −0.991552 + 0.0709172i
\(538\) −4.48756 5.99468i −0.193473 0.258449i
\(539\) −4.09069 8.95737i −0.176199 0.385821i
\(540\) −11.9541 4.11884i −0.514422 0.177247i
\(541\) 6.45639 + 1.89577i 0.277582 + 0.0815054i 0.417560 0.908649i \(-0.362885\pi\)
−0.139979 + 0.990155i \(0.544703\pi\)
\(542\) −0.758627 + 2.03396i −0.0325858 + 0.0873659i
\(543\) −5.84683 + 4.37688i −0.250911 + 0.187830i
\(544\) 2.22393 2.56656i 0.0953504 0.110040i
\(545\) 23.4078 7.51838i 1.00268 0.322052i
\(546\) −8.61566 + 13.4062i −0.368716 + 0.573733i
\(547\) −27.6287 + 36.9076i −1.18132 + 1.57806i −0.455378 + 0.890298i \(0.650496\pi\)
−0.725940 + 0.687758i \(0.758595\pi\)
\(548\) 21.3965 + 4.65453i 0.914014 + 0.198832i
\(549\) 2.34812 + 2.70987i 0.100215 + 0.115654i
\(550\) −4.25560 2.86314i −0.181460 0.122085i
\(551\) 2.42694i 0.103391i
\(552\) 5.98726 2.93588i 0.254835 0.124959i
\(553\) −3.19399 + 3.19399i −0.135822 + 0.135822i
\(554\) 9.19770 + 31.3245i 0.390773 + 1.33085i
\(555\) 23.2631 + 2.74881i 0.987463 + 0.116680i
\(556\) 10.2918 6.61412i 0.436468 0.280501i
\(557\) 7.39291 + 5.53426i 0.313248 + 0.234494i 0.744320 0.667823i \(-0.232774\pi\)
−0.431072 + 0.902317i \(0.641865\pi\)
\(558\) 3.87704 0.843399i 0.164128 0.0357039i
\(559\) 11.0077 24.1036i 0.465577 1.01947i
\(560\) 6.27767 6.60210i 0.265280 0.278990i
\(561\) −0.689363 + 4.79463i −0.0291049 + 0.202429i
\(562\) 12.4232 + 4.63363i 0.524043 + 0.195458i
\(563\) −6.12987 11.2260i −0.258343 0.473121i 0.716026 0.698073i \(-0.245959\pi\)
−0.974370 + 0.224953i \(0.927777\pi\)
\(564\) −3.81443 + 12.9908i −0.160617 + 0.547010i
\(565\) −15.1877 + 6.10465i −0.638953 + 0.256824i
\(566\) 28.6731 + 4.12257i 1.20522 + 0.173285i
\(567\) 1.35509 + 18.9466i 0.0569083 + 0.795682i
\(568\) 4.51443 + 12.1037i 0.189421 + 0.507858i
\(569\) −14.6390 9.40789i −0.613697 0.394399i 0.196545 0.980495i \(-0.437028\pi\)
−0.810242 + 0.586096i \(0.800664\pi\)
\(570\) 1.56431 1.89994i 0.0655217 0.0795798i
\(571\) 5.27574 + 8.20921i 0.220783 + 0.343545i 0.933921 0.357478i \(-0.116363\pi\)
−0.713139 + 0.701023i \(0.752727\pi\)
\(572\) −2.87835 0.205864i −0.120350 0.00860760i
\(573\) 19.5432 + 10.6714i 0.816429 + 0.445804i
\(574\) −44.8839 −1.87342
\(575\) 19.1029 14.4941i 0.796647 0.604444i
\(576\) 1.06667 0.0444444
\(577\) −10.7389 5.86391i −0.447068 0.244118i 0.239911 0.970795i \(-0.422882\pi\)
−0.686979 + 0.726677i \(0.741064\pi\)
\(578\) 5.45298 + 0.390005i 0.226814 + 0.0162221i
\(579\) −16.1649 25.1530i −0.671789 1.04532i
\(580\) −4.35773 + 5.29270i −0.180945 + 0.219768i
\(581\) 28.3840 + 18.2413i 1.17757 + 0.756775i
\(582\) −0.806846 2.16324i −0.0334448 0.0896691i
\(583\) 0.265647 + 3.71423i 0.0110020 + 0.153828i
\(584\) −5.95645 0.856409i −0.246480 0.0354385i
\(585\) −6.22549 + 2.50231i −0.257392 + 0.103458i
\(586\) 6.11273 20.8180i 0.252514 0.859985i
\(587\) 1.19128 + 2.18166i 0.0491692 + 0.0900467i 0.901108 0.433595i \(-0.142755\pi\)
−0.851939 + 0.523641i \(0.824573\pi\)
\(588\) −12.5058 4.66444i −0.515732 0.192358i
\(589\) −0.419031 + 2.91443i −0.0172659 + 0.120087i
\(590\) 16.5519 17.4073i 0.681430 0.716646i
\(591\) 15.1064 33.0784i 0.621394 1.36066i
\(592\) −7.36206 + 1.60152i −0.302579 + 0.0658220i
\(593\) −7.89903 5.91314i −0.324374 0.242823i 0.424663 0.905352i \(-0.360393\pi\)
−0.749037 + 0.662528i \(0.769484\pi\)
\(594\) −4.87967 + 3.13597i −0.200215 + 0.128671i
\(595\) −30.7251 3.63053i −1.25961 0.148837i
\(596\) 4.80132 + 16.3518i 0.196670 + 0.669795i
\(597\) −2.11145 + 2.11145i −0.0864159 + 0.0864159i
\(598\) 5.26477 12.4213i 0.215293 0.507946i
\(599\) 6.80936i 0.278223i −0.990277 0.139112i \(-0.955575\pi\)
0.990277 0.139112i \(-0.0444247\pi\)
\(600\) −6.82292 + 1.33460i −0.278544 + 0.0544847i
\(601\) −23.3376 26.9330i −0.951959 1.09862i −0.995033 0.0995470i \(-0.968261\pi\)
0.0430742 0.999072i \(-0.486285\pi\)
\(602\) 37.5008 + 8.15780i 1.52842 + 0.332487i
\(603\) 5.16127 6.89465i 0.210183 0.280772i
\(604\) −2.81125 + 4.37438i −0.114388 + 0.177991i
\(605\) 21.1781 6.80221i 0.861013 0.276549i
\(606\) 0.202150 0.233294i 0.00821179 0.00947692i
\(607\) −5.76116 + 4.31275i −0.233838 + 0.175049i −0.709771 0.704433i \(-0.751202\pi\)
0.475933 + 0.879482i \(0.342111\pi\)
\(608\) −0.276622 + 0.741653i −0.0112185 + 0.0300780i
\(609\) 16.6654 + 4.89341i 0.675317 + 0.198291i
\(610\) 7.10668 + 2.44864i 0.287741 + 0.0991426i
\(611\) 11.3789 + 24.9164i 0.460343 + 1.00801i
\(612\) −2.17085 2.89992i −0.0877514 0.117222i
\(613\) 16.5170 1.18132i 0.667116 0.0477131i 0.266326 0.963883i \(-0.414190\pi\)
0.400790 + 0.916170i \(0.368736\pi\)
\(614\) −14.6146 6.67427i −0.589798 0.269352i
\(615\) 27.9281 + 19.8294i 1.12617 + 0.799597i
\(616\) −0.594796 4.13690i −0.0239650 0.166680i
\(617\) 8.70509 40.0167i 0.350454 1.61101i −0.377926 0.925836i \(-0.623363\pi\)
0.728379 0.685174i \(-0.240274\pi\)
\(618\) −0.546451 + 7.64039i −0.0219815 + 0.307341i
\(619\) 23.7516 6.97411i 0.954658 0.280313i 0.232933 0.972493i \(-0.425168\pi\)
0.721725 + 0.692180i \(0.243349\pi\)
\(620\) 6.14686 5.60341i 0.246864 0.225039i
\(621\) −6.49083 26.3296i −0.260468 1.05657i
\(622\) −5.04650 5.04650i −0.202346 0.202346i
\(623\) 17.1426 31.3944i 0.686805 1.25779i
\(624\) −2.95605 + 2.56143i −0.118337 + 0.102539i
\(625\) −23.1574 + 9.41984i −0.926297 + 0.376794i
\(626\) −25.8483 + 3.71643i −1.03311 + 0.148538i
\(627\) −0.239995 1.10324i −0.00958447 0.0440591i
\(628\) −17.8582 + 6.66075i −0.712618 + 0.265793i
\(629\) 19.3371 + 16.7557i 0.771019 + 0.668092i
\(630\) −5.45792 8.04009i −0.217449 0.320325i
\(631\) 29.3857 13.4200i 1.16982 0.534241i 0.266767 0.963761i \(-0.414044\pi\)
0.903057 + 0.429520i \(0.141317\pi\)
\(632\) −0.973056 + 0.531329i −0.0387061 + 0.0211351i
\(633\) 12.1732 6.64708i 0.483842 0.264198i
\(634\) 20.9123 9.55035i 0.830535 0.379293i
\(635\) −43.9238 8.40262i −1.74306 0.333448i
\(636\) 3.81449 + 3.30527i 0.151254 + 0.131063i
\(637\) −25.3011 + 9.43683i −1.00247 + 0.373901i
\(638\) 0.668559 + 3.07331i 0.0264685 + 0.121674i
\(639\) 13.6391 1.96101i 0.539555 0.0775762i
\(640\) 1.93494 1.12071i 0.0764853 0.0443000i
\(641\) −31.3856 + 27.1958i −1.23966 + 1.07417i −0.245152 + 0.969485i \(0.578838\pi\)
−0.994505 + 0.104685i \(0.966617\pi\)
\(642\) −7.79928 + 14.2833i −0.307813 + 0.563718i
\(643\) 27.6421 + 27.6421i 1.09010 + 1.09010i 0.995517 + 0.0945826i \(0.0301517\pi\)
0.0945826 + 0.995517i \(0.469848\pi\)
\(644\) 19.1998 + 3.62677i 0.756578 + 0.142915i
\(645\) −19.7301 21.6436i −0.776872 0.852216i
\(646\) 2.57928 0.757346i 0.101481 0.0297974i
\(647\) −0.399183 + 5.58131i −0.0156935 + 0.219424i 0.983553 + 0.180618i \(0.0578099\pi\)
−0.999247 + 0.0388057i \(0.987645\pi\)
\(648\) −0.991027 + 4.55568i −0.0389312 + 0.178964i
\(649\) −1.56825 10.9075i −0.0615594 0.428155i
\(650\) −8.66400 + 11.0801i −0.339830 + 0.434598i
\(651\) −19.1680 8.75373i −0.751253 0.343086i
\(652\) −14.3153 + 1.02385i −0.560632 + 0.0400972i
\(653\) −5.80376 7.75292i −0.227119 0.303395i 0.672478 0.740117i \(-0.265230\pi\)
−0.899596 + 0.436722i \(0.856139\pi\)
\(654\) −6.35085 13.9064i −0.248338 0.543784i
\(655\) −8.11677 16.6504i −0.317148 0.650586i
\(656\) −10.5703 3.10371i −0.412700 0.121180i
\(657\) −2.24317 + 6.01417i −0.0875144 + 0.234635i
\(658\) −31.7592 + 23.7746i −1.23810 + 0.926831i
\(659\) 0.560278 0.646595i 0.0218253 0.0251878i −0.744732 0.667364i \(-0.767423\pi\)
0.766557 + 0.642176i \(0.221968\pi\)
\(660\) −1.45755 + 2.83688i −0.0567350 + 0.110425i
\(661\) 25.5694 39.7868i 0.994535 1.54753i 0.167120 0.985937i \(-0.446553\pi\)
0.827415 0.561590i \(-0.189810\pi\)
\(662\) 18.1188 24.2039i 0.704208 0.940711i
\(663\) 12.9798 + 2.82357i 0.504092 + 0.109658i
\(664\) 5.42312 + 6.25861i 0.210458 + 0.242881i
\(665\) 7.00570 1.70983i 0.271669 0.0663043i
\(666\) 8.03653i 0.311409i
\(667\) −14.6065 1.69158i −0.565566 0.0654983i
\(668\) −8.37006 + 8.37006i −0.323847 + 0.323847i
\(669\) −2.74609 9.35233i −0.106170 0.361582i
\(670\) 2.11861 17.9297i 0.0818490 0.692686i
\(671\) 2.90095 1.86433i 0.111990 0.0719716i
\(672\) −4.53506 3.39490i −0.174944 0.130961i
\(673\) 40.5141 8.81331i 1.56171 0.339728i 0.653063 0.757303i \(-0.273484\pi\)
0.908642 + 0.417575i \(0.137120\pi\)
\(674\) 7.13949 15.6333i 0.275003 0.602172i
\(675\) −0.594616 + 28.2661i −0.0228868 + 1.08796i
\(676\) 0.723905 5.03487i 0.0278425 0.193649i
\(677\) 45.6301 + 17.0192i 1.75371 + 0.654100i 0.999995 0.00310367i \(-0.000987930\pi\)
0.753713 + 0.657203i \(0.228261\pi\)
\(678\) 4.87802 + 8.93343i 0.187339 + 0.343086i
\(679\) 1.90598 6.49116i 0.0731446 0.249108i
\(680\) −6.98479 2.97963i −0.267854 0.114264i
\(681\) 8.03902 + 1.15584i 0.308056 + 0.0442918i
\(682\) −0.272215 3.80606i −0.0104236 0.145742i
\(683\) −1.06129 2.84544i −0.0406093 0.108878i 0.915062 0.403313i \(-0.132141\pi\)
−0.955672 + 0.294435i \(0.904869\pi\)
\(684\) 0.710297 + 0.456480i 0.0271589 + 0.0174540i
\(685\) −4.72165 48.7348i −0.180405 1.86206i
\(686\) −5.72564 8.90927i −0.218606 0.340158i
\(687\) 1.54062 + 0.110187i 0.0587784 + 0.00420391i
\(688\) 8.26743 + 4.51436i 0.315193 + 0.172108i
\(689\) 10.2114 0.389024
\(690\) −10.3444 10.7390i −0.393805 0.408827i
\(691\) −4.68868 −0.178366 −0.0891829 0.996015i \(-0.528426\pi\)
−0.0891829 + 0.996015i \(0.528426\pi\)
\(692\) −11.9013 6.49861i −0.452420 0.247040i
\(693\) −4.44671 0.318035i −0.168916 0.0120811i
\(694\) −7.78248 12.1098i −0.295419 0.459681i
\(695\) −21.1186 17.3879i −0.801075 0.659561i
\(696\) 3.58637 + 2.30482i 0.135941 + 0.0873641i
\(697\) 13.0744 + 35.0537i 0.495226 + 1.32775i
\(698\) −1.30539 18.2517i −0.0494097 0.690838i
\(699\) 19.6641 + 2.82727i 0.743763 + 0.106937i
\(700\) −18.3482 8.85034i −0.693496 0.334511i
\(701\) −7.13787 + 24.3094i −0.269594 + 0.918152i 0.707745 + 0.706468i \(0.249713\pi\)
−0.977338 + 0.211684i \(0.932105\pi\)
\(702\) 7.62313 + 13.9607i 0.287717 + 0.526914i
\(703\) −5.58780 2.08414i −0.210748 0.0786048i
\(704\) 0.145990 1.01538i 0.00550219 0.0382686i
\(705\) 30.2650 0.762332i 1.13984 0.0287111i
\(706\) −9.91685 + 21.7149i −0.373226 + 0.817250i
\(707\) 0.883849 0.192269i 0.0332405 0.00723104i
\(708\) −11.9573 8.95109i −0.449381 0.336403i
\(709\) 14.7483 9.47815i 0.553884 0.355959i −0.233564 0.972342i \(-0.575039\pi\)
0.787447 + 0.616382i \(0.211402\pi\)
\(710\) 22.6811 17.8874i 0.851206 0.671304i
\(711\) 0.333172 + 1.13468i 0.0124949 + 0.0425538i
\(712\) 6.20805 6.20805i 0.232657 0.232657i
\(713\) 17.2483 + 4.55329i 0.645955 + 0.170522i
\(714\) 19.2385i 0.719984i
\(715\) 1.52994 + 6.26863i 0.0572165 + 0.234434i
\(716\) −10.8494 12.5209i −0.405462 0.467928i
\(717\) 3.13901 + 0.682850i 0.117229 + 0.0255015i
\(718\) −14.6773 + 19.6066i −0.547754 + 0.731713i
\(719\) −2.42490 + 3.77322i −0.0904336 + 0.140717i −0.883523 0.468388i \(-0.844835\pi\)
0.793089 + 0.609105i \(0.208471\pi\)
\(720\) −0.729385 2.27088i −0.0271826 0.0846306i
\(721\) −14.6982 + 16.9627i −0.547390 + 0.631722i
\(722\) 14.7087 11.0108i 0.547401 0.409779i
\(723\) 2.98238 7.99608i 0.110916 0.297378i
\(724\) −5.03993 1.47986i −0.187308 0.0549985i
\(725\) 14.2477 + 5.65823i 0.529146 + 0.210141i
\(726\) −5.74590 12.5818i −0.213250 0.466953i
\(727\) −18.9930 25.3717i −0.704412 0.940984i 0.295485 0.955347i \(-0.404519\pi\)
−0.999897 + 0.0143632i \(0.995428\pi\)
\(728\) −11.4319 + 0.817625i −0.423694 + 0.0303032i
\(729\) 25.9788 + 11.8641i 0.962179 + 0.439412i
\(730\) 2.24976 + 13.2666i 0.0832675 + 0.491019i
\(731\) −4.55258 31.6639i −0.168383 1.17113i
\(732\) 0.993545 4.56725i 0.0367225 0.168811i
\(733\) 1.47984 20.6908i 0.0546590 0.764232i −0.894027 0.448013i \(-0.852132\pi\)
0.948686 0.316219i \(-0.102414\pi\)
\(734\) −21.4609 + 6.30150i −0.792138 + 0.232593i
\(735\) −1.37887 + 29.8138i −0.0508605 + 1.09970i
\(736\) 4.27081 + 2.18178i 0.157424 + 0.0804214i
\(737\) −5.85675 5.85675i −0.215736 0.215736i
\(738\) −5.63164 + 10.3136i −0.207303 + 0.379648i
\(739\) −32.9455 + 28.5474i −1.21192 + 1.05013i −0.214618 + 0.976698i \(0.568851\pi\)
−0.997300 + 0.0734352i \(0.976604\pi\)
\(740\) 8.44372 + 14.5783i 0.310397 + 0.535910i
\(741\) −3.06461 + 0.440624i −0.112581 + 0.0161867i
\(742\) 3.14372 + 14.4514i 0.115410 + 0.530529i
\(743\) −11.5929 + 4.32392i −0.425302 + 0.158629i −0.552995 0.833184i \(-0.686515\pi\)
0.127694 + 0.991814i \(0.459243\pi\)
\(744\) −3.90880 3.38699i −0.143303 0.124173i
\(745\) 31.5290 21.4031i 1.15513 0.784148i
\(746\) −1.45324 + 0.663670i −0.0532067 + 0.0242987i
\(747\) 7.75291 4.23341i 0.283664 0.154892i
\(748\) −3.05760 + 1.66957i −0.111797 + 0.0610457i
\(749\) −43.3762 + 19.8093i −1.58493 + 0.723815i
\(750\) 7.50679 + 13.6130i 0.274109 + 0.497078i
\(751\) −2.47381 2.14357i −0.0902707 0.0782200i 0.608556 0.793511i \(-0.291749\pi\)
−0.698827 + 0.715291i \(0.746294\pi\)
\(752\) −9.12338 + 3.40284i −0.332695 + 0.124089i
\(753\) −4.08432 18.7753i −0.148841 0.684211i
\(754\) 8.53714 1.22746i 0.310904 0.0447013i
\(755\) 11.2352 + 2.99380i 0.408889 + 0.108956i
\(756\) −17.4107 + 15.0864i −0.633220 + 0.548689i
\(757\) 18.7575 34.3518i 0.681753 1.24854i −0.276058 0.961141i \(-0.589028\pi\)
0.957812 0.287397i \(-0.0927900\pi\)
\(758\) 0.524221 + 0.524221i 0.0190405 + 0.0190405i
\(759\) −6.80709 + 0.675445i −0.247082 + 0.0245171i
\(760\) 1.76809 + 0.0817735i 0.0641355 + 0.00296624i
\(761\) −4.05093 + 1.18946i −0.146846 + 0.0431179i −0.354330 0.935121i \(-0.615291\pi\)
0.207483 + 0.978239i \(0.433473\pi\)
\(762\) −1.98382 + 27.7374i −0.0718661 + 1.00482i
\(763\) 9.52214 43.7726i 0.344725 1.58467i
\(764\) 2.27907 + 15.8513i 0.0824538 + 0.573478i
\(765\) −4.68935 + 6.60458i −0.169544 + 0.238789i
\(766\) 10.4091 + 4.75368i 0.376097 + 0.171758i
\(767\) −30.1417 + 2.15577i −1.08835 + 0.0778405i
\(768\) −0.833262 1.11311i −0.0300677 0.0401658i
\(769\) −15.0247 32.8994i −0.541804 1.18638i −0.960506 0.278261i \(-0.910242\pi\)
0.418702 0.908124i \(-0.362485\pi\)
\(770\) −8.40051 + 4.09509i −0.302734 + 0.147577i
\(771\) −28.1859 8.27612i −1.01509 0.298057i
\(772\) 7.51472