Properties

Label 483.2.y.b.4.8
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.111942 + 0.157200i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.641955 + 1.85481i) q^{4} +(-0.171106 + 3.59197i) q^{5} +(0.126378 + 0.145848i) q^{6} +(-2.30883 - 1.29202i) q^{7} +(-0.733771 - 0.215455i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.111942 + 0.157200i) q^{2} +(0.235759 - 0.971812i) q^{3} +(0.641955 + 1.85481i) q^{4} +(-0.171106 + 3.59197i) q^{5} +(0.126378 + 0.145848i) q^{6} +(-2.30883 - 1.29202i) q^{7} +(-0.733771 - 0.215455i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-0.545504 - 0.428989i) q^{10} +(1.58074 + 2.21984i) q^{11} +(1.95387 - 0.186572i) q^{12} +(0.00476466 - 0.0331389i) q^{13} +(0.461560 - 0.218318i) q^{14} +(3.45038 + 1.01312i) q^{15} +(-2.96965 + 2.33536i) q^{16} +(-7.18554 + 1.38490i) q^{17} +(0.171531 - 0.0884304i) q^{18} +(1.20057 + 0.231392i) q^{19} +(-6.77225 + 1.98851i) q^{20} +(-1.79992 + 1.93914i) q^{21} -0.525910 q^{22} +(1.86902 - 4.41664i) q^{23} +(-0.382375 + 0.662292i) q^{24} +(-7.89559 - 0.753938i) q^{25} +(0.00467608 + 0.00445864i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(0.914278 - 5.11185i) q^{28} +(6.71327 + 7.74752i) q^{29} +(-0.545504 + 0.428989i) q^{30} +(-2.29403 + 2.18735i) q^{31} +(-0.107467 - 2.25602i) q^{32} +(2.52994 - 1.01283i) q^{33} +(0.586655 - 1.28460i) q^{34} +(5.03594 - 8.07217i) q^{35} +(0.279329 - 1.94278i) q^{36} +(-8.07604 - 4.16349i) q^{37} +(-0.170769 + 0.162828i) q^{38} +(-0.0310815 - 0.0124432i) q^{39} +(0.899459 - 2.59882i) q^{40} +(8.26094 + 5.30898i) q^{41} +(-0.103347 - 0.500019i) q^{42} +(1.84414 - 0.541489i) q^{43} +(-3.10261 + 4.35700i) q^{44} +(1.79802 - 3.11426i) q^{45} +(0.485075 + 0.788218i) q^{46} +(4.78237 + 8.28331i) q^{47} +(1.56941 + 3.43653i) q^{48} +(3.66138 + 5.96609i) q^{49} +(1.00237 - 1.15679i) q^{50} +(-0.348194 + 7.30949i) q^{51} +(0.0645250 - 0.0124362i) q^{52} +(4.54748 + 1.82053i) q^{53} +(-0.0454977 - 0.187544i) q^{54} +(-8.24406 + 5.29813i) q^{55} +(1.41578 + 1.44549i) q^{56} +(0.507915 - 1.11218i) q^{57} +(-1.96941 + 0.188056i) q^{58} +(-0.227942 - 0.179256i) q^{59} +(0.335840 + 7.05016i) q^{60} +(-2.27820 - 9.39087i) q^{61} +(-0.0870546 - 0.605478i) q^{62} +(1.46013 + 2.20636i) q^{63} +(-5.98972 - 3.84936i) q^{64} +(0.118219 + 0.0227848i) q^{65} +(-0.123988 + 0.511085i) q^{66} +(13.4980 + 1.28890i) q^{67} +(-7.18151 - 12.4387i) q^{68} +(-3.85151 - 2.85760i) q^{69} +(0.705214 + 1.69526i) q^{70} +(1.59779 + 3.49867i) q^{71} +(0.553475 + 0.527737i) q^{72} +(3.27947 + 9.47541i) q^{73} +(1.55855 - 0.803487i) q^{74} +(-2.59414 + 7.49528i) q^{75} +(0.341528 + 2.37538i) q^{76} +(-0.781588 - 7.16757i) q^{77} +(0.00543538 - 0.00349311i) q^{78} +(14.8391 - 5.94067i) q^{79} +(-7.88041 - 11.0665i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-1.75932 + 0.704325i) q^{82} +(-3.51891 + 2.26147i) q^{83} +(-4.75221 - 2.09367i) q^{84} +(-3.74502 - 26.0472i) q^{85} +(-0.121314 + 0.350515i) q^{86} +(9.11184 - 4.69748i) q^{87} +(-0.681627 - 1.96943i) q^{88} +(-1.14537 - 1.09211i) q^{89} +(0.288289 + 0.631265i) q^{90} +(-0.0538169 + 0.0703561i) q^{91} +(9.39185 + 0.631393i) q^{92} +(1.58486 + 2.74505i) q^{93} +(-1.83748 - 0.175459i) q^{94} +(-1.03658 + 4.27283i) q^{95} +(-2.21776 - 0.427439i) q^{96} +(-10.8280 - 6.95872i) q^{97} +(-1.34773 - 0.0922847i) q^{98} +(-0.387829 - 2.69741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.111942 + 0.157200i −0.0791548 + 0.111157i −0.852255 0.523126i \(-0.824766\pi\)
0.773100 + 0.634284i \(0.218705\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) 0.641955 + 1.85481i 0.320977 + 0.927404i
\(5\) −0.171106 + 3.59197i −0.0765211 + 1.60638i 0.555561 + 0.831476i \(0.312503\pi\)
−0.632083 + 0.774901i \(0.717800\pi\)
\(6\) 0.126378 + 0.145848i 0.0515935 + 0.0595420i
\(7\) −2.30883 1.29202i −0.872655 0.488337i
\(8\) −0.733771 0.215455i −0.259427 0.0761747i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −0.545504 0.428989i −0.172504 0.135658i
\(11\) 1.58074 + 2.21984i 0.476611 + 0.669306i 0.980964 0.194191i \(-0.0622083\pi\)
−0.504353 + 0.863498i \(0.668269\pi\)
\(12\) 1.95387 0.186572i 0.564034 0.0538587i
\(13\) 0.00476466 0.0331389i 0.00132148 0.00919109i −0.989150 0.146909i \(-0.953068\pi\)
0.990472 + 0.137718i \(0.0439767\pi\)
\(14\) 0.461560 0.218318i 0.123357 0.0583479i
\(15\) 3.45038 + 1.01312i 0.890883 + 0.261587i
\(16\) −2.96965 + 2.33536i −0.742413 + 0.583840i
\(17\) −7.18554 + 1.38490i −1.74275 + 0.335887i −0.958615 0.284705i \(-0.908105\pi\)
−0.784134 + 0.620592i \(0.786892\pi\)
\(18\) 0.171531 0.0884304i 0.0404303 0.0208433i
\(19\) 1.20057 + 0.231392i 0.275431 + 0.0530849i 0.325096 0.945681i \(-0.394603\pi\)
−0.0496654 + 0.998766i \(0.515815\pi\)
\(20\) −6.77225 + 1.98851i −1.51432 + 0.444645i
\(21\) −1.79992 + 1.93914i −0.392776 + 0.423156i
\(22\) −0.525910 −0.112124
\(23\) 1.86902 4.41664i 0.389719 0.920934i
\(24\) −0.382375 + 0.662292i −0.0780519 + 0.135190i
\(25\) −7.89559 0.753938i −1.57912 0.150788i
\(26\) 0.00467608 + 0.00445864i 0.000917055 + 0.000874410i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 0.914278 5.11185i 0.172782 0.966049i
\(29\) 6.71327 + 7.74752i 1.24662 + 1.43868i 0.855062 + 0.518526i \(0.173519\pi\)
0.391561 + 0.920152i \(0.371935\pi\)
\(30\) −0.545504 + 0.428989i −0.0995949 + 0.0783223i
\(31\) −2.29403 + 2.18735i −0.412020 + 0.392860i −0.867542 0.497364i \(-0.834301\pi\)
0.455522 + 0.890225i \(0.349453\pi\)
\(32\) −0.107467 2.25602i −0.0189977 0.398812i
\(33\) 2.52994 1.01283i 0.440406 0.176312i
\(34\) 0.586655 1.28460i 0.100611 0.220306i
\(35\) 5.03594 8.07217i 0.851229 1.36445i
\(36\) 0.279329 1.94278i 0.0465549 0.323797i
\(37\) −8.07604 4.16349i −1.32769 0.684473i −0.359140 0.933284i \(-0.616930\pi\)
−0.968552 + 0.248811i \(0.919960\pi\)
\(38\) −0.170769 + 0.162828i −0.0277024 + 0.0264142i
\(39\) −0.0310815 0.0124432i −0.00497702 0.00199250i
\(40\) 0.899459 2.59882i 0.142217 0.410909i
\(41\) 8.26094 + 5.30898i 1.29014 + 0.829124i 0.992103 0.125429i \(-0.0400309\pi\)
0.298040 + 0.954553i \(0.403667\pi\)
\(42\) −0.103347 0.500019i −0.0159468 0.0771547i
\(43\) 1.84414 0.541489i 0.281229 0.0825763i −0.138076 0.990422i \(-0.544092\pi\)
0.419305 + 0.907845i \(0.362274\pi\)
\(44\) −3.10261 + 4.35700i −0.467736 + 0.656843i
\(45\) 1.79802 3.11426i 0.268033 0.464247i
\(46\) 0.485075 + 0.788218i 0.0715205 + 0.116216i
\(47\) 4.78237 + 8.28331i 0.697580 + 1.20824i 0.969303 + 0.245869i \(0.0790734\pi\)
−0.271723 + 0.962376i \(0.587593\pi\)
\(48\) 1.56941 + 3.43653i 0.226525 + 0.496020i
\(49\) 3.66138 + 5.96609i 0.523055 + 0.852299i
\(50\) 1.00237 1.15679i 0.141756 0.163595i
\(51\) −0.348194 + 7.30949i −0.0487569 + 1.02353i
\(52\) 0.0645250 0.0124362i 0.00894801 0.00172459i
\(53\) 4.54748 + 1.82053i 0.624644 + 0.250070i 0.662321 0.749220i \(-0.269572\pi\)
−0.0376771 + 0.999290i \(0.511996\pi\)
\(54\) −0.0454977 0.187544i −0.00619146 0.0255215i
\(55\) −8.24406 + 5.29813i −1.11163 + 0.714400i
\(56\) 1.41578 + 1.44549i 0.189192 + 0.193162i
\(57\) 0.507915 1.11218i 0.0672750 0.147312i
\(58\) −1.96941 + 0.188056i −0.258596 + 0.0246929i
\(59\) −0.227942 0.179256i −0.0296755 0.0233371i 0.603211 0.797582i \(-0.293888\pi\)
−0.632887 + 0.774244i \(0.718130\pi\)
\(60\) 0.335840 + 7.05016i 0.0433568 + 0.910172i
\(61\) −2.27820 9.39087i −0.291694 1.20238i −0.909384 0.415957i \(-0.863447\pi\)
0.617691 0.786421i \(-0.288068\pi\)
\(62\) −0.0870546 0.605478i −0.0110559 0.0768958i
\(63\) 1.46013 + 2.20636i 0.183959 + 0.277975i
\(64\) −5.98972 3.84936i −0.748715 0.481170i
\(65\) 0.118219 + 0.0227848i 0.0146632 + 0.00282611i
\(66\) −0.123988 + 0.511085i −0.0152619 + 0.0629102i
\(67\) 13.4980 + 1.28890i 1.64904 + 0.157464i 0.877782 0.479060i \(-0.159022\pi\)
0.771257 + 0.636524i \(0.219628\pi\)
\(68\) −7.18151 12.4387i −0.870886 1.50842i
\(69\) −3.85151 2.85760i −0.463667 0.344015i
\(70\) 0.705214 + 1.69526i 0.0842892 + 0.202623i
\(71\) 1.59779 + 3.49867i 0.189623 + 0.415216i 0.980435 0.196843i \(-0.0630688\pi\)
−0.790812 + 0.612059i \(0.790342\pi\)
\(72\) 0.553475 + 0.527737i 0.0652276 + 0.0621944i
\(73\) 3.27947 + 9.47541i 0.383833 + 1.10901i 0.957128 + 0.289664i \(0.0935435\pi\)
−0.573296 + 0.819349i \(0.694335\pi\)
\(74\) 1.55855 0.803487i 0.181177 0.0934034i
\(75\) −2.59414 + 7.49528i −0.299546 + 0.865480i
\(76\) 0.341528 + 2.37538i 0.0391759 + 0.272474i
\(77\) −0.781588 7.16757i −0.0890703 0.816820i
\(78\) 0.00543538 0.00349311i 0.000615436 0.000395517i
\(79\) 14.8391 5.94067i 1.66953 0.668377i 0.672125 0.740437i \(-0.265382\pi\)
0.997400 + 0.0720600i \(0.0229573\pi\)
\(80\) −7.88041 11.0665i −0.881057 1.23727i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −1.75932 + 0.704325i −0.194284 + 0.0777796i
\(83\) −3.51891 + 2.26147i −0.386251 + 0.248228i −0.719327 0.694672i \(-0.755550\pi\)
0.333076 + 0.942900i \(0.391913\pi\)
\(84\) −4.75221 2.09367i −0.518508 0.228438i
\(85\) −3.74502 26.0472i −0.406204 2.82521i
\(86\) −0.121314 + 0.350515i −0.0130817 + 0.0377970i
\(87\) 9.11184 4.69748i 0.976892 0.503623i
\(88\) −0.681627 1.96943i −0.0726616 0.209942i
\(89\) −1.14537 1.09211i −0.121409 0.115764i 0.626943 0.779065i \(-0.284306\pi\)
−0.748352 + 0.663302i \(0.769155\pi\)
\(90\) 0.288289 + 0.631265i 0.0303883 + 0.0665412i
\(91\) −0.0538169 + 0.0703561i −0.00564154 + 0.00737533i
\(92\) 9.39185 + 0.631393i 0.979168 + 0.0658273i
\(93\) 1.58486 + 2.74505i 0.164342 + 0.284649i
\(94\) −1.83748 0.175459i −0.189522 0.0180972i
\(95\) −1.03658 + 4.27283i −0.106351 + 0.438383i
\(96\) −2.21776 0.427439i −0.226349 0.0436253i
\(97\) −10.8280 6.95872i −1.09942 0.706551i −0.140454 0.990087i \(-0.544856\pi\)
−0.958962 + 0.283536i \(0.908493\pi\)
\(98\) −1.34773 0.0922847i −0.136142 0.00932217i
\(99\) −0.387829 2.69741i −0.0389782 0.271100i
\(100\) −3.67021 15.1288i −0.367021 1.51288i
\(101\) −0.748558 15.7142i −0.0744843 1.56362i −0.658942 0.752193i \(-0.728996\pi\)
0.584458 0.811424i \(-0.301307\pi\)
\(102\) −1.11008 0.872973i −0.109914 0.0864373i
\(103\) −10.9829 + 1.04874i −1.08218 + 0.103336i −0.620878 0.783907i \(-0.713224\pi\)
−0.461303 + 0.887243i \(0.652618\pi\)
\(104\) −0.0106361 + 0.0232898i −0.00104296 + 0.00228376i
\(105\) −6.65736 6.79707i −0.649691 0.663326i
\(106\) −0.795241 + 0.511070i −0.0772406 + 0.0496395i
\(107\) −1.42769 5.88500i −0.138020 0.568924i −0.998256 0.0590294i \(-0.981199\pi\)
0.860237 0.509895i \(-0.170316\pi\)
\(108\) −1.82216 0.729483i −0.175338 0.0701945i
\(109\) 1.67718 0.323250i 0.160645 0.0309618i −0.108295 0.994119i \(-0.534539\pi\)
0.268939 + 0.963157i \(0.413327\pi\)
\(110\) 0.0899865 1.88905i 0.00857988 0.180114i
\(111\) −5.95012 + 6.86681i −0.564761 + 0.651768i
\(112\) 9.87375 1.55511i 0.932982 0.146944i
\(113\) 4.12936 + 9.04203i 0.388457 + 0.850603i 0.998311 + 0.0580890i \(0.0185007\pi\)
−0.609854 + 0.792514i \(0.708772\pi\)
\(114\) 0.117978 + 0.204344i 0.0110496 + 0.0191385i
\(115\) 15.5446 + 7.46919i 1.44955 + 0.696506i
\(116\) −10.0605 + 17.4254i −0.934098 + 1.61791i
\(117\) −0.0194201 + 0.0272718i −0.00179539 + 0.00252128i
\(118\) 0.0536952 0.0157663i 0.00494305 0.00145141i
\(119\) 18.3795 + 6.08634i 1.68485 + 0.557934i
\(120\) −2.31350 1.48680i −0.211193 0.135726i
\(121\) 1.16881 3.37704i 0.106255 0.307004i
\(122\) 1.73127 + 0.693097i 0.156742 + 0.0627501i
\(123\) 7.10692 6.77644i 0.640810 0.611011i
\(124\) −5.52978 2.85080i −0.496589 0.256010i
\(125\) 1.50026 10.4345i 0.134187 0.933291i
\(126\) −0.510290 0.0174504i −0.0454602 0.00155460i
\(127\) −0.562520 + 1.23175i −0.0499156 + 0.109300i −0.932947 0.360015i \(-0.882772\pi\)
0.883031 + 0.469315i \(0.155499\pi\)
\(128\) 5.46920 2.18954i 0.483414 0.193530i
\(129\) −0.0914523 1.91982i −0.00805192 0.169031i
\(130\) −0.0168154 + 0.0160334i −0.00147481 + 0.00140623i
\(131\) −5.06522 + 3.98333i −0.442550 + 0.348025i −0.814436 0.580253i \(-0.802954\pi\)
0.371886 + 0.928278i \(0.378711\pi\)
\(132\) 3.50272 + 4.04235i 0.304872 + 0.351842i
\(133\) −2.47296 2.08541i −0.214433 0.180828i
\(134\) −1.71360 + 1.97760i −0.148033 + 0.170839i
\(135\) −2.60258 2.48155i −0.223994 0.213578i
\(136\) 5.57093 + 0.531959i 0.477703 + 0.0456151i
\(137\) 0.331853 0.574786i 0.0283521 0.0491073i −0.851501 0.524353i \(-0.824307\pi\)
0.879853 + 0.475245i \(0.157641\pi\)
\(138\) 0.880360 0.285573i 0.0749412 0.0243095i
\(139\) 20.7875 1.76317 0.881586 0.472023i \(-0.156476\pi\)
0.881586 + 0.472023i \(0.156476\pi\)
\(140\) 18.2052 + 4.15873i 1.53862 + 0.351477i
\(141\) 9.17730 2.69470i 0.772868 0.226935i
\(142\) −0.728852 0.140475i −0.0611639 0.0117884i
\(143\) 0.0810947 0.0418072i 0.00678148 0.00349610i
\(144\) 3.70966 0.714978i 0.309138 0.0595815i
\(145\) −28.9775 + 22.7882i −2.40645 + 1.89246i
\(146\) −1.85665 0.545160i −0.153657 0.0451178i
\(147\) 6.66112 2.15162i 0.549400 0.177462i
\(148\) 2.53801 17.6523i 0.208623 1.45101i
\(149\) 3.41110 0.325720i 0.279448 0.0266841i 0.0456090 0.998959i \(-0.485477\pi\)
0.233839 + 0.972275i \(0.424871\pi\)
\(150\) −0.887867 1.24683i −0.0724940 0.101804i
\(151\) 6.61419 + 5.20145i 0.538255 + 0.423288i 0.849926 0.526902i \(-0.176646\pi\)
−0.311671 + 0.950190i \(0.600889\pi\)
\(152\) −0.831093 0.428458i −0.0674105 0.0347525i
\(153\) 7.02136 + 2.06166i 0.567643 + 0.166675i
\(154\) 1.21424 + 0.679484i 0.0978459 + 0.0547544i
\(155\) −7.46438 8.61435i −0.599553 0.691921i
\(156\) 0.00312673 0.0656381i 0.000250339 0.00525526i
\(157\) 1.29856 + 3.75194i 0.103636 + 0.299437i 0.984883 0.173218i \(-0.0554166\pi\)
−0.881247 + 0.472656i \(0.843295\pi\)
\(158\) −0.727237 + 2.99771i −0.0578559 + 0.238485i
\(159\) 2.84132 3.99008i 0.225332 0.316434i
\(160\) 8.12194 0.642096
\(161\) −10.0216 + 7.78247i −0.789816 + 0.613344i
\(162\) −0.192984 −0.0151623
\(163\) 0.195601 0.274683i 0.0153206 0.0215148i −0.806845 0.590764i \(-0.798827\pi\)
0.822165 + 0.569249i \(0.192766\pi\)
\(164\) −4.54399 + 18.7306i −0.354826 + 1.46261i
\(165\) 3.20518 + 9.26075i 0.249523 + 0.720949i
\(166\) 0.0384101 0.806326i 0.00298120 0.0625831i
\(167\) −1.36214 1.57200i −0.105406 0.121645i 0.700595 0.713559i \(-0.252918\pi\)
−0.806001 + 0.591914i \(0.798372\pi\)
\(168\) 1.73853 1.03508i 0.134131 0.0798585i
\(169\) 12.4723 + 3.66221i 0.959410 + 0.281708i
\(170\) 4.51385 + 2.32705i 0.346196 + 0.178477i
\(171\) −0.961083 0.755804i −0.0734959 0.0577978i
\(172\) 2.18821 + 3.07292i 0.166850 + 0.234308i
\(173\) −9.11675 + 0.870544i −0.693134 + 0.0661863i −0.435676 0.900103i \(-0.643491\pi\)
−0.257458 + 0.966290i \(0.582885\pi\)
\(174\) −0.281551 + 1.95823i −0.0213443 + 0.148453i
\(175\) 17.2555 + 11.9420i 1.30439 + 0.902727i
\(176\) −9.87837 2.90055i −0.744610 0.218637i
\(177\) −0.227942 + 0.179256i −0.0171332 + 0.0134737i
\(178\) 0.299895 0.0578001i 0.0224781 0.00433230i
\(179\) −5.42728 + 2.79796i −0.405654 + 0.209129i −0.648964 0.760819i \(-0.724797\pi\)
0.243309 + 0.969949i \(0.421767\pi\)
\(180\) 6.93060 + 1.33576i 0.516577 + 0.0995620i
\(181\) −12.1853 + 3.57792i −0.905725 + 0.265945i −0.701240 0.712925i \(-0.747370\pi\)
−0.204484 + 0.978870i \(0.565552\pi\)
\(182\) −0.00503564 0.0163358i −0.000373267 0.00121089i
\(183\) −9.66327 −0.714329
\(184\) −2.32302 + 2.83812i −0.171256 + 0.209229i
\(185\) 16.3370 28.2965i 1.20112 2.08040i
\(186\) −0.608935 0.0581462i −0.0446493 0.00426349i
\(187\) −14.4327 13.7616i −1.05542 1.00635i
\(188\) −12.2939 + 14.1879i −0.896623 + 1.03476i
\(189\) 2.48840 0.898805i 0.181005 0.0653785i
\(190\) −0.555654 0.641258i −0.0403113 0.0465218i
\(191\) 0.551406 0.433630i 0.0398983 0.0313764i −0.598011 0.801488i \(-0.704042\pi\)
0.637909 + 0.770112i \(0.279800\pi\)
\(192\) −5.15298 + 4.91336i −0.371884 + 0.354591i
\(193\) −0.583887 12.2573i −0.0420291 0.882300i −0.917186 0.398460i \(-0.869545\pi\)
0.875157 0.483840i \(-0.160758\pi\)
\(194\) 2.30602 0.923190i 0.165562 0.0662812i
\(195\) 0.0500136 0.109515i 0.00358155 0.00784250i
\(196\) −8.71551 + 10.6211i −0.622536 + 0.758652i
\(197\) 2.25054 15.6529i 0.160345 1.11522i −0.737640 0.675194i \(-0.764060\pi\)
0.897985 0.440027i \(-0.145031\pi\)
\(198\) 0.467447 + 0.240986i 0.0332200 + 0.0171261i
\(199\) −3.48591 + 3.32381i −0.247110 + 0.235619i −0.803503 0.595300i \(-0.797033\pi\)
0.556394 + 0.830919i \(0.312185\pi\)
\(200\) 5.63112 + 2.25436i 0.398180 + 0.159407i
\(201\) 4.43483 12.8136i 0.312809 0.903803i
\(202\) 2.55406 + 1.64140i 0.179703 + 0.115488i
\(203\) −5.48985 26.5614i −0.385312 1.86424i
\(204\) −13.7812 + 4.04653i −0.964879 + 0.283314i
\(205\) −20.4832 + 28.7646i −1.43061 + 2.00901i
\(206\) 1.06459 1.84392i 0.0741733 0.128472i
\(207\) −3.68508 + 3.06923i −0.256131 + 0.213326i
\(208\) 0.0632420 + 0.109538i 0.00438504 + 0.00759512i
\(209\) 1.38414 + 3.03085i 0.0957432 + 0.209648i
\(210\) 1.81374 0.285662i 0.125160 0.0197125i
\(211\) −7.84180 + 9.04992i −0.539852 + 0.623022i −0.958488 0.285132i \(-0.907963\pi\)
0.418637 + 0.908154i \(0.362508\pi\)
\(212\) −0.457466 + 9.60339i −0.0314189 + 0.659564i
\(213\) 3.77675 0.727908i 0.258778 0.0498754i
\(214\) 1.08494 + 0.434345i 0.0741650 + 0.0296912i
\(215\) 1.62947 + 6.71675i 0.111129 + 0.458079i
\(216\) 0.643348 0.413455i 0.0437743 0.0281320i
\(217\) 8.12262 2.08630i 0.551400 0.141627i
\(218\) −0.136932 + 0.299838i −0.00927418 + 0.0203076i
\(219\) 9.98147 0.953115i 0.674485 0.0644056i
\(220\) −15.1193 11.8900i −1.01935 0.801622i
\(221\) 0.0116574 + 0.244720i 0.000784164 + 0.0164616i
\(222\) −0.413396 1.70404i −0.0277453 0.114368i
\(223\) −1.63530 11.3737i −0.109507 0.761641i −0.968385 0.249460i \(-0.919747\pi\)
0.858878 0.512181i \(-0.171162\pi\)
\(224\) −2.66669 + 5.34762i −0.178176 + 0.357303i
\(225\) 6.67241 + 4.28810i 0.444827 + 0.285873i
\(226\) −1.88366 0.363045i −0.125299 0.0241494i
\(227\) −2.94990 + 12.1597i −0.195792 + 0.807065i 0.786174 + 0.618006i \(0.212059\pi\)
−0.981966 + 0.189060i \(0.939456\pi\)
\(228\) 2.38894 + 0.228116i 0.158211 + 0.0151073i
\(229\) 0.804014 + 1.39259i 0.0531307 + 0.0920251i 0.891368 0.453281i \(-0.149747\pi\)
−0.838237 + 0.545306i \(0.816413\pi\)
\(230\) −2.91425 + 1.60751i −0.192160 + 0.105996i
\(231\) −7.14979 0.930261i −0.470422 0.0612067i
\(232\) −3.25676 7.13131i −0.213817 0.468194i
\(233\) 10.9960 + 10.4847i 0.720372 + 0.686873i 0.958734 0.284303i \(-0.0917622\pi\)
−0.238363 + 0.971176i \(0.576611\pi\)
\(234\) −0.00211320 0.00610570i −0.000138144 0.000399142i
\(235\) −30.5717 + 15.7608i −1.99428 + 1.02812i
\(236\) 0.186156 0.537863i 0.0121177 0.0350119i
\(237\) −2.27477 15.8213i −0.147762 1.02771i
\(238\) −3.01421 + 2.20794i −0.195382 + 0.143120i
\(239\) −4.87478 + 3.13283i −0.315324 + 0.202646i −0.688723 0.725024i \(-0.741828\pi\)
0.373400 + 0.927671i \(0.378192\pi\)
\(240\) −12.6124 + 5.04925i −0.814128 + 0.325928i
\(241\) 0.348609 + 0.489553i 0.0224559 + 0.0315349i 0.825651 0.564181i \(-0.190808\pi\)
−0.803195 + 0.595716i \(0.796869\pi\)
\(242\) 0.400033 + 0.561768i 0.0257151 + 0.0361118i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) 15.9558 10.2541i 1.02146 0.656454i
\(245\) −22.0565 + 12.1307i −1.40914 + 0.775004i
\(246\) 0.269696 + 1.87578i 0.0171952 + 0.119595i
\(247\) 0.0133884 0.0386833i 0.000851884 0.00246136i
\(248\) 2.15457 1.11076i 0.136815 0.0705332i
\(249\) 1.36811 + 3.95288i 0.0867002 + 0.250504i
\(250\) 1.47237 + 1.40390i 0.0931206 + 0.0887903i
\(251\) −1.48949 3.26153i −0.0940160 0.205866i 0.856781 0.515680i \(-0.172461\pi\)
−0.950797 + 0.309814i \(0.899733\pi\)
\(252\) −3.15503 + 4.12465i −0.198748 + 0.259828i
\(253\) 12.7587 2.83263i 0.802131 0.178086i
\(254\) −0.130661 0.226312i −0.00819842 0.0142001i
\(255\) −26.1959 2.50140i −1.64045 0.156644i
\(256\) 3.08917 12.7337i 0.193073 0.795857i
\(257\) −8.77141 1.69055i −0.547145 0.105454i −0.0918149 0.995776i \(-0.529267\pi\)
−0.455331 + 0.890322i \(0.650479\pi\)
\(258\) 0.312033 + 0.200532i 0.0194263 + 0.0124846i
\(259\) 13.2669 + 20.0472i 0.824365 + 1.24567i
\(260\) 0.0336297 + 0.233900i 0.00208563 + 0.0145058i
\(261\) −2.41687 9.96247i −0.149600 0.616661i
\(262\) −0.0591711 1.24215i −0.00365560 0.0767405i
\(263\) 2.62571 + 2.06488i 0.161908 + 0.127326i 0.695826 0.718210i \(-0.255038\pi\)
−0.533918 + 0.845536i \(0.679281\pi\)
\(264\) −2.07462 + 0.198102i −0.127684 + 0.0121923i
\(265\) −7.31740 + 16.0229i −0.449504 + 0.984277i
\(266\) 0.604654 0.155306i 0.0370737 0.00952239i
\(267\) −1.33136 + 0.855612i −0.0814778 + 0.0523626i
\(268\) 6.27443 + 25.8635i 0.383272 + 1.57987i
\(269\) −11.7712 4.71249i −0.717705 0.287326i −0.0160788 0.999871i \(-0.505118\pi\)
−0.701627 + 0.712545i \(0.747542\pi\)
\(270\) 0.681437 0.131336i 0.0414710 0.00799287i
\(271\) −0.259382 + 5.44509i −0.0157563 + 0.330766i 0.977203 + 0.212308i \(0.0680980\pi\)
−0.992959 + 0.118458i \(0.962205\pi\)
\(272\) 18.1043 20.8935i 1.09774 1.26685i
\(273\) 0.0556851 + 0.0688869i 0.00337021 + 0.00416923i
\(274\) 0.0532083 + 0.116510i 0.00321443 + 0.00703862i
\(275\) −10.8073 18.7187i −0.651702 1.12878i
\(276\) 2.82781 8.97825i 0.170214 0.540427i
\(277\) −8.30769 + 14.3893i −0.499161 + 0.864572i −1.00000 0.000968891i \(-0.999692\pi\)
0.500839 + 0.865541i \(0.333025\pi\)
\(278\) −2.32699 + 3.26780i −0.139563 + 0.195989i
\(279\) 3.04132 0.893012i 0.182079 0.0534632i
\(280\) −5.43441 + 4.83811i −0.324768 + 0.289132i
\(281\) 14.7964 + 9.50909i 0.882681 + 0.567265i 0.901607 0.432556i \(-0.142388\pi\)
−0.0189257 + 0.999821i \(0.506025\pi\)
\(282\) −0.603716 + 1.74432i −0.0359508 + 0.103873i
\(283\) 21.1393 + 8.46292i 1.25660 + 0.503068i 0.901914 0.431916i \(-0.142162\pi\)
0.354690 + 0.934984i \(0.384586\pi\)
\(284\) −5.46366 + 5.20959i −0.324208 + 0.309132i
\(285\) 3.90800 + 2.01472i 0.231490 + 0.119341i
\(286\) −0.00250578 + 0.0174281i −0.000148170 + 0.00103054i
\(287\) −12.2138 22.9308i −0.720958 1.35356i
\(288\) −0.938247 + 2.05448i −0.0552868 + 0.121061i
\(289\) 33.9318 13.5842i 1.99599 0.799072i
\(290\) −0.338511 7.10622i −0.0198781 0.417292i
\(291\) −9.31536 + 8.88218i −0.546076 + 0.520683i
\(292\) −15.4698 + 12.1656i −0.905300 + 0.711936i
\(293\) 3.59569 + 4.14965i 0.210062 + 0.242425i 0.850997 0.525171i \(-0.175998\pi\)
−0.640935 + 0.767596i \(0.721453\pi\)
\(294\) −0.407423 + 1.28799i −0.0237614 + 0.0751168i
\(295\) 0.682883 0.788089i 0.0397590 0.0458843i
\(296\) 5.02892 + 4.79507i 0.292300 + 0.278708i
\(297\) −2.71281 0.259042i −0.157413 0.0150311i
\(298\) −0.330641 + 0.572687i −0.0191535 + 0.0331749i
\(299\) −0.137458 0.0829813i −0.00794938 0.00479893i
\(300\) −15.5676 −0.898797
\(301\) −4.95742 1.13246i −0.285741 0.0652738i
\(302\) −1.55807 + 0.457492i −0.0896571 + 0.0263257i
\(303\) −15.4477 2.97730i −0.887446 0.171041i
\(304\) −4.10567 + 2.11662i −0.235476 + 0.121397i
\(305\) 34.1215 6.57638i 1.95379 0.376563i
\(306\) −1.11008 + 0.872973i −0.0634588 + 0.0499046i
\(307\) 19.0306 + 5.58788i 1.08613 + 0.318917i 0.775329 0.631557i \(-0.217584\pi\)
0.310803 + 0.950474i \(0.399402\pi\)
\(308\) 12.7927 6.05095i 0.728932 0.344785i
\(309\) −1.57015 + 10.9206i −0.0893224 + 0.621251i
\(310\) 2.18975 0.209096i 0.124370 0.0118759i
\(311\) −9.13464 12.8278i −0.517978 0.727398i 0.469885 0.882728i \(-0.344295\pi\)
−0.987863 + 0.155330i \(0.950356\pi\)
\(312\) 0.0201258 + 0.0158271i 0.00113940 + 0.000896032i
\(313\) 8.15446 + 4.20392i 0.460917 + 0.237619i 0.673015 0.739629i \(-0.264999\pi\)
−0.212097 + 0.977249i \(0.568029\pi\)
\(314\) −0.735169 0.215865i −0.0414880 0.0121820i
\(315\) −8.17500 + 4.86723i −0.460609 + 0.274237i
\(316\) 20.5448 + 23.7100i 1.15574 + 1.33379i
\(317\) −1.12647 + 23.6475i −0.0632689 + 1.32818i 0.714503 + 0.699632i \(0.246653\pi\)
−0.777772 + 0.628546i \(0.783650\pi\)
\(318\) 0.309179 + 0.893313i 0.0173379 + 0.0500945i
\(319\) −6.58632 + 27.1492i −0.368763 + 1.52006i
\(320\) 14.8516 20.8562i 0.830232 1.16590i
\(321\) −6.05570 −0.337996
\(322\) −0.101565 2.44659i −0.00566002 0.136343i
\(323\) −8.94723 −0.497837
\(324\) −1.13851 + 1.59881i −0.0632506 + 0.0888230i
\(325\) −0.0626045 + 0.258059i −0.00347267 + 0.0143146i
\(326\) 0.0212843 + 0.0614969i 0.00117883 + 0.00340600i
\(327\) 0.0812722 1.70611i 0.00449436 0.0943483i
\(328\) −4.91780 5.67544i −0.271540 0.313374i
\(329\) −0.339500 25.3037i −0.0187172 1.39504i
\(330\) −1.81459 0.532810i −0.0998896 0.0293302i
\(331\) −0.0596015 0.0307267i −0.00327600 0.00168889i 0.456588 0.889678i \(-0.349071\pi\)
−0.459864 + 0.887989i \(0.652102\pi\)
\(332\) −6.45357 5.07514i −0.354186 0.278535i
\(333\) 5.27045 + 7.40131i 0.288819 + 0.405589i
\(334\) 0.399599 0.0381571i 0.0218651 0.00208786i
\(335\) −6.93928 + 48.2637i −0.379133 + 2.63693i
\(336\) 0.816554 9.96205i 0.0445466 0.543475i
\(337\) 1.16763 + 0.342848i 0.0636050 + 0.0186761i 0.313380 0.949628i \(-0.398539\pi\)
−0.249775 + 0.968304i \(0.580357\pi\)
\(338\) −1.97187 + 1.55070i −0.107256 + 0.0843469i
\(339\) 9.76068 1.88122i 0.530127 0.102174i
\(340\) 45.9084 23.6674i 2.48973 1.28355i
\(341\) −8.48183 1.63474i −0.459317 0.0885261i
\(342\) 0.226398 0.0664764i 0.0122422 0.00359463i
\(343\) −0.745214 18.5053i −0.0402378 0.999190i
\(344\) −1.46985 −0.0792487
\(345\) 10.9234 13.3455i 0.588098 0.718499i
\(346\) 0.883696 1.53061i 0.0475078 0.0822859i
\(347\) 30.7365 + 2.93498i 1.65002 + 0.157558i 0.878204 0.478286i \(-0.158742\pi\)
0.771817 + 0.635844i \(0.219348\pi\)
\(348\) 14.5623 + 13.8851i 0.780622 + 0.744322i
\(349\) 13.4834 15.5606i 0.721748 0.832941i −0.269768 0.962925i \(-0.586947\pi\)
0.991516 + 0.129984i \(0.0414926\pi\)
\(350\) −3.80888 + 1.37576i −0.203593 + 0.0735375i
\(351\) 0.0219245 + 0.0253023i 0.00117025 + 0.00135054i
\(352\) 4.83812 3.80474i 0.257873 0.202793i
\(353\) −11.9089 + 11.3551i −0.633845 + 0.604370i −0.937320 0.348469i \(-0.886702\pi\)
0.303475 + 0.952839i \(0.401853\pi\)
\(354\) −0.00266278 0.0558987i −0.000141525 0.00297098i
\(355\) −12.8405 + 5.14057i −0.681504 + 0.272833i
\(356\) 1.29038 2.82553i 0.0683899 0.149753i
\(357\) 10.2479 16.4265i 0.542377 0.869382i
\(358\) 0.167700 1.16638i 0.00886322 0.0616450i
\(359\) −25.8470 13.3251i −1.36415 0.703271i −0.388268 0.921547i \(-0.626926\pi\)
−0.975887 + 0.218276i \(0.929957\pi\)
\(360\) −1.99032 + 1.89776i −0.104899 + 0.100021i
\(361\) −16.2512 6.50598i −0.855324 0.342420i
\(362\) 0.801592 2.31605i 0.0421307 0.121729i
\(363\) −3.00629 1.93203i −0.157789 0.101405i
\(364\) −0.165045 0.0546544i −0.00865071 0.00286467i
\(365\) −34.5965 + 10.1584i −1.81086 + 0.531717i
\(366\) 1.08172 1.51907i 0.0565426 0.0794029i
\(367\) −13.7198 + 23.7633i −0.716166 + 1.24044i 0.246342 + 0.969183i \(0.420771\pi\)
−0.962508 + 0.271253i \(0.912562\pi\)
\(368\) 4.76411 + 17.4808i 0.248346 + 0.911247i
\(369\) −4.90990 8.50420i −0.255599 0.442711i
\(370\) 2.61942 + 5.73573i 0.136177 + 0.298186i
\(371\) −8.14718 10.0787i −0.422981 0.523261i
\(372\) −4.07414 + 4.70181i −0.211234 + 0.243777i
\(373\) 0.622519 13.0683i 0.0322328 0.676651i −0.923709 0.383095i \(-0.874858\pi\)
0.955942 0.293556i \(-0.0948387\pi\)
\(374\) 3.77894 0.728332i 0.195405 0.0376611i
\(375\) −9.78668 3.91800i −0.505382 0.202324i
\(376\) −1.72449 7.10844i −0.0889337 0.366590i
\(377\) 0.288731 0.185556i 0.0148704 0.00955663i
\(378\) −0.137264 + 0.491791i −0.00706009 + 0.0252950i
\(379\) 4.97271 10.8887i 0.255431 0.559316i −0.737860 0.674953i \(-0.764164\pi\)
0.993292 + 0.115637i \(0.0368910\pi\)
\(380\) −8.59071 + 0.820314i −0.440694 + 0.0420812i
\(381\) 1.06441 + 0.837059i 0.0545312 + 0.0428838i
\(382\) 0.00644144 + 0.135222i 0.000329573 + 0.00691858i
\(383\) −0.463747 1.91159i −0.0236964 0.0976777i 0.958735 0.284300i \(-0.0917611\pi\)
−0.982432 + 0.186622i \(0.940246\pi\)
\(384\) −0.838405 5.83124i −0.0427847 0.297574i
\(385\) 25.8794 1.58102i 1.31894 0.0805764i
\(386\) 1.99221 + 1.28032i 0.101401 + 0.0651664i
\(387\) −1.88726 0.363740i −0.0959350 0.0184900i
\(388\) 5.95601 24.5510i 0.302371 1.24639i
\(389\) −27.7170 2.64665i −1.40531 0.134190i −0.635319 0.772250i \(-0.719131\pi\)
−0.769987 + 0.638059i \(0.779737\pi\)
\(390\) 0.0116171 + 0.0201214i 0.000588255 + 0.00101889i
\(391\) −7.31334 + 34.3244i −0.369852 + 1.73586i
\(392\) −1.40120 5.16661i −0.0707711 0.260953i
\(393\) 2.67688 + 5.86154i 0.135031 + 0.295676i
\(394\) 2.20871 + 2.10600i 0.111273 + 0.106099i
\(395\) 18.7996 + 54.3179i 0.945912 + 2.73303i
\(396\) 4.75420 2.45096i 0.238908 0.123165i
\(397\) 10.0899 29.1528i 0.506397 1.46314i −0.344993 0.938605i \(-0.612119\pi\)
0.851390 0.524533i \(-0.175760\pi\)
\(398\) −0.132284 0.920059i −0.00663082 0.0461184i
\(399\) −2.60964 + 1.91160i −0.130646 + 0.0956995i
\(400\) 25.2079 16.2001i 1.26039 0.810006i
\(401\) −28.4714 + 11.3982i −1.42179 + 0.569200i −0.949928 0.312470i \(-0.898844\pi\)
−0.471866 + 0.881670i \(0.656420\pi\)
\(402\) 1.51786 + 2.13154i 0.0757039 + 0.106311i
\(403\) 0.0615563 + 0.0864437i 0.00306634 + 0.00430607i
\(404\) 28.6662 11.4762i 1.42620 0.570963i
\(405\) −3.02518 + 1.94417i −0.150322 + 0.0966064i
\(406\) 4.78999 + 2.11032i 0.237723 + 0.104733i
\(407\) −3.52384 24.5089i −0.174670 1.21486i
\(408\) 1.83036 5.28848i 0.0906163 0.261819i
\(409\) 16.2605 8.38285i 0.804028 0.414505i −0.00666432 0.999978i \(-0.502121\pi\)
0.810692 + 0.585473i \(0.199091\pi\)
\(410\) −2.22888 6.43993i −0.110077 0.318045i
\(411\) −0.480346 0.458009i −0.0236937 0.0225919i
\(412\) −8.99577 19.6980i −0.443190 0.970450i
\(413\) 0.294678 + 0.708376i 0.0145002 + 0.0348569i
\(414\) −0.0699699 0.922870i −0.00343883 0.0453566i
\(415\) −7.52101 13.0268i −0.369192 0.639459i
\(416\) −0.0752742 0.00718781i −0.00369062 0.000352411i
\(417\) 4.90084 20.2015i 0.239995 0.989273i
\(418\) −0.631394 0.121691i −0.0308825 0.00595211i
\(419\) −22.6845 14.5784i −1.10821 0.712203i −0.147308 0.989091i \(-0.547061\pi\)
−0.960902 + 0.276887i \(0.910697\pi\)
\(420\) 8.33353 16.7115i 0.406635 0.815439i
\(421\) 0.959546 + 6.67379i 0.0467654 + 0.325261i 0.999752 + 0.0222495i \(0.00708283\pi\)
−0.952987 + 0.303011i \(0.902008\pi\)
\(422\) −0.544824 2.24580i −0.0265216 0.109324i
\(423\) −0.455109 9.55391i −0.0221281 0.464527i
\(424\) −2.94456 2.31563i −0.143001 0.112457i
\(425\) 57.7782 5.51715i 2.80265 0.267621i
\(426\) −0.308348 + 0.675189i −0.0149395 + 0.0327130i
\(427\) −6.87319 + 24.6254i −0.332617 + 1.19171i
\(428\) 9.99903 6.42599i 0.483321 0.310612i
\(429\) −0.0215100 0.0886652i −0.00103851 0.00428080i
\(430\) −1.23828 0.495732i −0.0597152 0.0239063i
\(431\) −0.301669 + 0.0581419i −0.0145309 + 0.00280060i −0.196512 0.980502i \(-0.562961\pi\)
0.181981 + 0.983302i \(0.441749\pi\)
\(432\) 0.179761 3.77365i 0.00864876 0.181560i
\(433\) 5.12628 5.91604i 0.246353 0.284307i −0.619083 0.785325i \(-0.712496\pi\)
0.865437 + 0.501019i \(0.167041\pi\)
\(434\) −0.581294 + 1.51042i −0.0279030 + 0.0725026i
\(435\) 15.3141 + 33.5332i 0.734255 + 1.60779i
\(436\) 1.67624 + 2.90334i 0.0802774 + 0.139045i
\(437\) 3.26588 4.87003i 0.156228 0.232965i
\(438\) −0.967514 + 1.67578i −0.0462296 + 0.0800720i
\(439\) −3.56030 + 4.99974i −0.169924 + 0.238625i −0.890753 0.454489i \(-0.849822\pi\)
0.720829 + 0.693113i \(0.243761\pi\)
\(440\) 7.19076 2.11140i 0.342806 0.100657i
\(441\) −0.520545 6.98062i −0.0247879 0.332410i
\(442\) −0.0397749 0.0255618i −0.00189190 0.00121585i
\(443\) −6.90825 + 19.9601i −0.328221 + 0.948331i 0.653321 + 0.757081i \(0.273375\pi\)
−0.981541 + 0.191250i \(0.938746\pi\)
\(444\) −16.5563 6.62815i −0.785728 0.314558i
\(445\) 4.11881 3.92728i 0.195250 0.186171i
\(446\) 1.97101 + 1.01613i 0.0933300 + 0.0481150i
\(447\) 0.487658 3.39174i 0.0230654 0.160424i
\(448\) 8.85580 + 16.6263i 0.418397 + 0.785520i
\(449\) 5.19622 11.3781i 0.245225 0.536967i −0.746495 0.665391i \(-0.768265\pi\)
0.991719 + 0.128424i \(0.0409920\pi\)
\(450\) −1.42101 + 0.568887i −0.0669871 + 0.0268176i
\(451\) 1.27331 + 26.7301i 0.0599578 + 1.25867i
\(452\) −14.1204 + 13.4637i −0.664166 + 0.633281i
\(453\) 6.61419 5.20145i 0.310762 0.244386i
\(454\) −1.58128 1.82490i −0.0742134 0.0856468i
\(455\) −0.243508 0.205347i −0.0114159 0.00962681i
\(456\) −0.612318 + 0.706653i −0.0286744 + 0.0330920i
\(457\) 11.1874 + 10.6672i 0.523325 + 0.498989i 0.905061 0.425282i \(-0.139825\pi\)
−0.381736 + 0.924271i \(0.624674\pi\)
\(458\) −0.308919 0.0294981i −0.0144348 0.00137836i
\(459\) 3.65889 6.33738i 0.170782 0.295804i
\(460\) −3.87495 + 33.6272i −0.180670 + 1.56788i
\(461\) −19.0846 −0.888857 −0.444429 0.895814i \(-0.646593\pi\)
−0.444429 + 0.895814i \(0.646593\pi\)
\(462\) 0.946597 1.01981i 0.0440397 0.0474460i
\(463\) −24.3955 + 7.16318i −1.13376 + 0.332901i −0.794183 0.607678i \(-0.792101\pi\)
−0.339574 + 0.940579i \(0.610283\pi\)
\(464\) −38.0293 7.32955i −1.76547 0.340266i
\(465\) −10.1313 + 5.22306i −0.469829 + 0.242214i
\(466\) −2.87910 + 0.554901i −0.133372 + 0.0257053i
\(467\) 18.7102 14.7139i 0.865805 0.680876i −0.0830651 0.996544i \(-0.526471\pi\)
0.948870 + 0.315668i \(0.102229\pi\)
\(468\) −0.0630507 0.0185134i −0.00291452 0.000855781i
\(469\) −29.4992 20.4155i −1.36215 0.942698i
\(470\) 0.944647 6.57016i 0.0435733 0.303059i
\(471\) 3.95233 0.377401i 0.182114 0.0173897i
\(472\) 0.128636 + 0.180644i 0.00592095 + 0.00831481i
\(473\) 4.11713 + 3.23774i 0.189306 + 0.148872i
\(474\) 2.74176 + 1.41348i 0.125933 + 0.0649231i
\(475\) −9.30479 2.73213i −0.426933 0.125359i
\(476\) 0.509814 + 37.9976i 0.0233673 + 1.74162i
\(477\) −3.20774 3.70193i −0.146872 0.169500i
\(478\) 0.0532098 1.11701i 0.00243376 0.0510909i
\(479\) −0.887948 2.56556i −0.0405714 0.117223i 0.922896 0.385050i \(-0.125816\pi\)
−0.963467 + 0.267827i \(0.913695\pi\)
\(480\) 1.91482 7.89299i 0.0873992 0.360264i
\(481\) −0.176453 + 0.247794i −0.00804557 + 0.0112984i
\(482\) −0.115982 −0.00528282
\(483\) 5.20040 + 11.5739i 0.236626 + 0.526632i
\(484\) 7.01408 0.318822
\(485\) 26.8483 37.7031i 1.21912 1.71201i
\(486\) −0.0454977 + 0.187544i −0.00206382 + 0.00850718i
\(487\) −9.83899 28.4279i −0.445847 1.28819i −0.914420 0.404766i \(-0.867353\pi\)
0.468573 0.883425i \(-0.344768\pi\)
\(488\) −0.351629 + 7.38160i −0.0159175 + 0.334149i
\(489\) −0.220825 0.254846i −0.00998606 0.0115245i
\(490\) 0.562090 4.82522i 0.0253926 0.217981i
\(491\) −9.61134 2.82214i −0.433754 0.127362i 0.0575644 0.998342i \(-0.481667\pi\)
−0.491318 + 0.870980i \(0.663485\pi\)
\(492\) 17.1313 + 8.83180i 0.772339 + 0.398168i
\(493\) −58.9680 46.3729i −2.65578 2.08853i
\(494\) 0.00458229 + 0.00643493i 0.000206167 + 0.000289521i
\(495\) 9.75536 0.931524i 0.438471 0.0418689i
\(496\) 1.70421 11.8531i 0.0765215 0.532219i
\(497\) 0.831321 10.1422i 0.0372898 0.454941i
\(498\) −0.774542 0.227426i −0.0347080 0.0101912i
\(499\) 17.5614 13.8104i 0.786156 0.618240i −0.142240 0.989832i \(-0.545430\pi\)
0.928396 + 0.371592i \(0.121188\pi\)
\(500\) 20.3171 3.91580i 0.908609 0.175120i
\(501\) −1.84882 + 0.953134i −0.0825993 + 0.0425829i
\(502\) 0.679450 + 0.130953i 0.0303254 + 0.00584473i
\(503\) 37.6484 11.0546i 1.67866 0.492899i 0.702817 0.711371i \(-0.251925\pi\)
0.975843 + 0.218472i \(0.0701072\pi\)
\(504\) −0.596033 1.93355i −0.0265494 0.0861274i
\(505\) 56.5728 2.51746
\(506\) −0.982938 + 2.32276i −0.0436969 + 0.103259i
\(507\) 6.49944 11.2574i 0.288650 0.499957i
\(508\) −2.64577 0.252640i −0.117387 0.0112091i
\(509\) −4.71804 4.49864i −0.209124 0.199399i 0.578277 0.815840i \(-0.303725\pi\)
−0.787401 + 0.616441i \(0.788574\pi\)
\(510\) 3.32563 3.83799i 0.147262 0.169949i
\(511\) 4.67065 26.1142i 0.206617 1.15523i
\(512\) 9.37177 + 10.8156i 0.414178 + 0.477986i
\(513\) −0.961083 + 0.755804i −0.0424329 + 0.0333696i
\(514\) 1.24764 1.18962i 0.0550311 0.0524721i
\(515\) −1.88780 39.6298i −0.0831864 1.74630i
\(516\) 3.50219 1.40206i 0.154175 0.0617224i
\(517\) −10.8279 + 23.7098i −0.476211 + 1.04276i
\(518\) −4.63654 0.158556i −0.203718 0.00696653i
\(519\) −1.30335 + 9.06501i −0.0572108 + 0.397910i
\(520\) −0.0818364 0.0421896i −0.00358876 0.00185014i
\(521\) −1.37199 + 1.30819i −0.0601079 + 0.0573127i −0.719538 0.694453i \(-0.755646\pi\)
0.659430 + 0.751766i \(0.270798\pi\)
\(522\) 1.83665 + 0.735284i 0.0803880 + 0.0321825i
\(523\) −2.14925 + 6.20984i −0.0939799 + 0.271537i −0.982187 0.187906i \(-0.939830\pi\)
0.888207 + 0.459443i \(0.151951\pi\)
\(524\) −10.6400 6.83788i −0.464808 0.298714i
\(525\) 15.6735 13.9536i 0.684046 0.608987i
\(526\) −0.618527 + 0.181616i −0.0269691 + 0.00791883i
\(527\) 13.4546 18.8943i 0.586091 0.823049i
\(528\) −5.14770 + 8.91608i −0.224025 + 0.388023i
\(529\) −16.0135 16.5096i −0.696239 0.717810i
\(530\) −1.69968 2.94393i −0.0738292 0.127876i
\(531\) 0.120463 + 0.263778i 0.00522766 + 0.0114470i
\(532\) 2.28050 5.92560i 0.0988721 0.256907i
\(533\) 0.215295 0.248463i 0.00932545 0.0107621i
\(534\) 0.0145322 0.305068i 0.000628870 0.0132016i
\(535\) 21.3830 4.12124i 0.924468 0.178177i
\(536\) −9.62672 3.85396i −0.415811 0.166466i
\(537\) 1.43956 + 5.93394i 0.0621215 + 0.256068i
\(538\) 2.05850 1.32292i 0.0887482 0.0570350i
\(539\) −7.45607 + 17.5585i −0.321155 + 0.756299i
\(540\) 2.93206 6.42032i 0.126176 0.276287i
\(541\) 17.1400 1.63667i 0.736904 0.0703658i 0.280147 0.959957i \(-0.409617\pi\)
0.456757 + 0.889591i \(0.349011\pi\)
\(542\) −0.826934 0.650308i −0.0355198 0.0279331i
\(543\) 0.604276 + 12.6853i 0.0259320 + 0.544379i
\(544\) 3.89657 + 16.0619i 0.167064 + 0.688648i
\(545\) 0.874128 + 6.07969i 0.0374435 + 0.260425i
\(546\) −0.0170625 + 0.00104238i −0.000730209 + 4.46099e-5i
\(547\) −24.7220 15.8879i −1.05704 0.679316i −0.107893 0.994162i \(-0.534410\pi\)
−0.949142 + 0.314847i \(0.898047\pi\)
\(548\) 1.27915 + 0.246536i 0.0546426 + 0.0105315i
\(549\) −2.27820 + 9.39087i −0.0972313 + 0.400793i
\(550\) 4.15237 + 0.396503i 0.177058 + 0.0169069i
\(551\) 6.26706 + 10.8549i 0.266986 + 0.462433i
\(552\) 2.21044 + 2.92665i 0.0940826 + 0.124567i
\(553\) −41.9363 5.45635i −1.78331 0.232027i
\(554\) −1.33203 2.91674i −0.0565925 0.123920i
\(555\) −23.6472 22.5476i −1.00377 0.957092i
\(556\) 13.3446 + 38.5568i 0.565939 + 1.63517i
\(557\) −15.9613 + 8.22862i −0.676302 + 0.348658i −0.761921 0.647670i \(-0.775743\pi\)
0.0856191 + 0.996328i \(0.472713\pi\)
\(558\) −0.200069 + 0.578061i −0.00846959 + 0.0244713i
\(559\) −0.00915766 0.0636929i −0.000387328 0.00269392i
\(560\) 3.89643 + 35.7323i 0.164654 + 1.50996i
\(561\) −16.7763 + 10.7815i −0.708295 + 0.455194i
\(562\) −3.15117 + 1.26154i −0.132924 + 0.0532148i
\(563\) 18.9428 + 26.6015i 0.798345 + 1.12112i 0.990195 + 0.139694i \(0.0446118\pi\)
−0.191850 + 0.981424i \(0.561449\pi\)
\(564\) 10.8896 + 15.2923i 0.458533 + 0.643920i
\(565\) −33.1852 + 13.2854i −1.39611 + 0.558919i
\(566\) −3.69675 + 2.37576i −0.155386 + 0.0998605i
\(567\) −0.286806 2.63016i −0.0120447 0.110456i
\(568\) −0.418607 2.91148i −0.0175644 0.122163i
\(569\) 9.64620 27.8709i 0.404390 1.16841i −0.540592 0.841285i \(-0.681800\pi\)
0.944982 0.327123i \(-0.106079\pi\)
\(570\) −0.754183 + 0.388808i −0.0315892 + 0.0162854i
\(571\) −8.01674 23.1628i −0.335490 0.969334i −0.978994 0.203891i \(-0.934641\pi\)
0.643504 0.765443i \(-0.277480\pi\)
\(572\) 0.129604 + 0.123577i 0.00541900 + 0.00516700i
\(573\) −0.291408 0.638095i −0.0121738 0.0266568i
\(574\) 4.97196 + 0.646903i 0.207526 + 0.0270012i
\(575\) −18.0869 + 33.4629i −0.754277 + 1.39550i
\(576\) 3.56000 + 6.16609i 0.148333 + 0.256921i
\(577\) 25.7368 + 2.45757i 1.07144 + 0.102310i 0.615836 0.787875i \(-0.288818\pi\)
0.455601 + 0.890184i \(0.349425\pi\)
\(578\) −1.66294 + 6.85472i −0.0691691 + 0.285119i
\(579\) −12.0494 2.32234i −0.500758 0.0965131i
\(580\) −60.8699 39.1187i −2.52749 1.62432i
\(581\) 11.0464 0.674847i 0.458283 0.0279974i
\(582\) −0.353503 2.45866i −0.0146532 0.101915i
\(583\) 3.14708 + 12.9724i 0.130339 + 0.537264i
\(584\) −0.364860 7.65936i −0.0150980 0.316947i
\(585\) −0.0946364 0.0744229i −0.00391273 0.00307701i
\(586\) −1.05483 + 0.100724i −0.0435747 + 0.00416088i
\(587\) 3.19283 6.99133i 0.131782 0.288563i −0.832225 0.554438i \(-0.812933\pi\)
0.964008 + 0.265874i \(0.0856607\pi\)
\(588\) 8.26697 + 10.9739i 0.340924 + 0.452554i
\(589\) −3.26029 + 2.09526i −0.134338 + 0.0863337i
\(590\) 0.0474446 + 0.195569i 0.00195326 + 0.00805146i
\(591\) −14.6811 5.87741i −0.603898 0.241764i
\(592\) 33.7063 6.49635i 1.38532 0.266998i
\(593\) −0.314515 + 6.60249i −0.0129156 + 0.271132i 0.983167 + 0.182708i \(0.0584861\pi\)
−0.996083 + 0.0884242i \(0.971817\pi\)
\(594\) 0.344398 0.397456i 0.0141308 0.0163078i
\(595\) −25.0068 + 64.9771i −1.02518 + 2.66380i
\(596\) 2.79392 + 6.11783i 0.114443 + 0.250596i
\(597\) 2.40828 + 4.17126i 0.0985644 + 0.170719i
\(598\) 0.0284319 0.0123193i 0.00116267 0.000503773i
\(599\) 18.3949 31.8609i 0.751596 1.30180i −0.195453 0.980713i \(-0.562618\pi\)
0.947049 0.321090i \(-0.104049\pi\)
\(600\) 3.51840 4.94090i 0.143638 0.201711i
\(601\) −38.5727 + 11.3260i −1.57341 + 0.461996i −0.947993 0.318291i \(-0.896891\pi\)
−0.625421 + 0.780287i \(0.715073\pi\)
\(602\) 0.732965 0.652538i 0.0298734 0.0265955i
\(603\) −11.4069 7.33075i −0.464523 0.298531i
\(604\) −5.40168 + 15.6071i −0.219791 + 0.635046i
\(605\) 11.9302 + 4.77614i 0.485033 + 0.194178i
\(606\) 2.19727 2.09509i 0.0892581 0.0851074i
\(607\) 11.3195 + 5.83562i 0.459445 + 0.236860i 0.672380 0.740206i \(-0.265272\pi\)
−0.212935 + 0.977066i \(0.568302\pi\)
\(608\) 0.393002 2.73339i 0.0159383 0.110853i
\(609\) −27.1069 0.926975i −1.09843 0.0375629i
\(610\) −2.78581 + 6.10008i −0.112794 + 0.246985i
\(611\) 0.297286 0.119016i 0.0120269 0.00481485i
\(612\) 0.683420 + 14.3468i 0.0276256 + 0.579933i
\(613\) −13.8188 + 13.1762i −0.558137 + 0.532183i −0.915782 0.401675i \(-0.868428\pi\)
0.357645 + 0.933858i \(0.383580\pi\)
\(614\) −3.00873 + 2.36609i −0.121422 + 0.0954877i
\(615\) 23.1247 + 26.6873i 0.932478 + 1.07614i
\(616\) −0.970779 + 5.42775i −0.0391138 + 0.218690i
\(617\) 10.0252 11.5697i 0.403600 0.465780i −0.517171 0.855882i \(-0.673015\pi\)
0.920772 + 0.390102i \(0.127560\pi\)
\(618\) −1.54096 1.46930i −0.0619863 0.0591038i
\(619\) 26.0641 + 2.48882i 1.04760 + 0.100034i 0.604635 0.796503i \(-0.293319\pi\)
0.442969 + 0.896537i \(0.353925\pi\)
\(620\) 11.1862 19.3750i 0.449247 0.778119i
\(621\) 2.11393 + 4.30480i 0.0848289 + 0.172746i
\(622\) 3.03908 0.121856
\(623\) 1.23344 + 4.00134i 0.0494169 + 0.160310i
\(624\) 0.121361 0.0356347i 0.00485831 0.00142653i
\(625\) −1.71714 0.330952i −0.0686856 0.0132381i
\(626\) −1.57368 + 0.811289i −0.0628969 + 0.0324256i
\(627\) 3.27174 0.630576i 0.130661 0.0251828i
\(628\) −6.12551 + 4.81715i −0.244434 + 0.192225i
\(629\) 63.7967 + 18.7324i 2.54374 + 0.746909i
\(630\) 0.149995 1.82996i 0.00597594 0.0729073i
\(631\) 3.41537 23.7544i 0.135964 0.945648i −0.801607 0.597852i \(-0.796021\pi\)
0.937570 0.347796i \(-0.113070\pi\)
\(632\) −12.1684 + 1.16194i −0.484034 + 0.0462197i
\(633\) 6.94604 + 9.75435i 0.276080 + 0.387701i
\(634\) −3.59130 2.82423i −0.142629 0.112164i
\(635\) −4.32814 2.23131i −0.171757 0.0885470i
\(636\) 9.22483 + 2.70866i 0.365788 + 0.107405i
\(637\) 0.215155 0.0929080i 0.00852476 0.00368115i
\(638\) −3.53057 4.07450i −0.139777 0.161311i
\(639\) 0.183012 3.84190i 0.00723985 0.151983i
\(640\) 6.92893 + 20.0198i 0.273890 + 0.791354i
\(641\) −4.89018 + 20.1576i −0.193150 + 0.796177i 0.789959 + 0.613159i \(0.210102\pi\)
−0.983110 + 0.183017i \(0.941414\pi\)
\(642\) 0.677886 0.951957i 0.0267540 0.0375708i
\(643\) 30.4286 1.19999 0.599993 0.800005i \(-0.295170\pi\)
0.599993 + 0.800005i \(0.295170\pi\)
\(644\) −20.8684 13.5922i −0.822331 0.535608i
\(645\) 6.91158 0.272143
\(646\) 1.00157 1.40651i 0.0394062 0.0553382i
\(647\) 1.83477 7.56302i 0.0721322 0.297333i −0.924307 0.381650i \(-0.875356\pi\)
0.996439 + 0.0843175i \(0.0268710\pi\)
\(648\) −0.250125 0.722688i −0.00982583 0.0283899i
\(649\) 0.0376014 0.789351i 0.00147598 0.0309847i
\(650\) −0.0335589 0.0387290i −0.00131629 0.00151908i
\(651\) −0.112509 8.38552i −0.00440957 0.328655i
\(652\) 0.635050 + 0.186468i 0.0248705 + 0.00730264i
\(653\) 2.94253 + 1.51698i 0.115150 + 0.0593640i 0.514839 0.857287i \(-0.327852\pi\)
−0.399689 + 0.916651i \(0.630882\pi\)
\(654\) 0.259104 + 0.203761i 0.0101318 + 0.00796770i
\(655\) −13.4413 18.8757i −0.525195 0.737533i
\(656\) −36.9305 + 3.52644i −1.44189 + 0.137684i
\(657\) 1.42697 9.92482i 0.0556715 0.387204i
\(658\) 4.01574 + 2.77917i 0.156550 + 0.108343i
\(659\) −5.79589 1.70183i −0.225776 0.0662937i 0.166888 0.985976i \(-0.446628\pi\)
−0.392664 + 0.919682i \(0.628446\pi\)
\(660\) −15.1193 + 11.8900i −0.588519 + 0.462817i
\(661\) 18.4826 3.56222i 0.718889 0.138554i 0.183329 0.983052i \(-0.441313\pi\)
0.535560 + 0.844497i \(0.320101\pi\)
\(662\) 0.0115021 0.00592977i 0.000447043 0.000230467i
\(663\) 0.240570 + 0.0463660i 0.00934296 + 0.00180071i
\(664\) 3.06932 0.901234i 0.119113 0.0349747i
\(665\) 7.91385 8.52596i 0.306886 0.330623i
\(666\) −1.75347 −0.0679456
\(667\) 46.7653 15.1698i 1.81076 0.587377i
\(668\) 2.04132 3.53566i 0.0789809 0.136799i
\(669\) −11.4387 1.09226i −0.442244 0.0422292i
\(670\) −6.81027 6.49358i −0.263104 0.250869i
\(671\) 17.2450 19.9018i 0.665735 0.768299i
\(672\) 4.56818 + 3.85227i 0.176221 + 0.148605i
\(673\) −23.8931 27.5741i −0.921010 1.06290i −0.997829 0.0658573i \(-0.979022\pi\)
0.0768189 0.997045i \(-0.475524\pi\)
\(674\) −0.184603 + 0.145173i −0.00711062 + 0.00559186i
\(675\) 5.74030 5.47337i 0.220944 0.210670i
\(676\) 1.21399 + 25.4847i 0.0466918 + 0.980182i
\(677\) 12.9174 5.17136i 0.496457 0.198752i −0.109902 0.993942i \(-0.535054\pi\)
0.606359 + 0.795191i \(0.292629\pi\)
\(678\) −0.796900 + 1.74497i −0.0306048 + 0.0670151i
\(679\) 16.0092 + 30.0565i 0.614376 + 1.15346i
\(680\) −2.86400 + 19.9196i −0.109829 + 0.763880i
\(681\) 11.1214 + 5.73350i 0.426174 + 0.219708i
\(682\) 1.20645 1.15035i 0.0461975 0.0440492i
\(683\) −16.1929 6.48265i −0.619603 0.248052i 0.0405564 0.999177i \(-0.487087\pi\)
−0.660159 + 0.751126i \(0.729511\pi\)
\(684\) 0.784899 2.26782i 0.0300114 0.0867121i
\(685\) 2.00783 + 1.29035i 0.0767152 + 0.0493019i
\(686\) 2.99245 + 1.95436i 0.114252 + 0.0746179i
\(687\) 1.54289 0.453034i 0.0588650 0.0172843i
\(688\) −4.21189 + 5.91477i −0.160577 + 0.225499i
\(689\) 0.0819977 0.142024i 0.00312387 0.00541069i
\(690\) 0.875132 + 3.21109i 0.0333157 + 0.122244i
\(691\) −1.09054 1.88887i −0.0414861 0.0718560i 0.844537 0.535498i \(-0.179876\pi\)
−0.886023 + 0.463642i \(0.846543\pi\)
\(692\) −7.46724 16.3510i −0.283862 0.621571i
\(693\) −2.58967 + 6.72893i −0.0983733 + 0.255611i
\(694\) −3.90208 + 4.50324i −0.148121 + 0.170940i
\(695\) −3.55687 + 74.6680i −0.134920 + 2.83232i
\(696\) −7.69810 + 1.48369i −0.291796 + 0.0562391i
\(697\) −66.7117 26.7073i −2.52689 1.01161i
\(698\) 0.936783 + 3.86147i 0.0354577 + 0.146159i
\(699\) 12.7815 8.21418i 0.483441 0.310689i
\(700\) −11.0728 + 39.6718i −0.418512 + 1.49945i
\(701\) 0.0400964 0.0877989i 0.00151442 0.00331612i −0.908873 0.417072i \(-0.863056\pi\)
0.910388 + 0.413756i \(0.135783\pi\)
\(702\) −0.00643180 0.000614162i −0.000242752 2.31801e-5i
\(703\) −8.73249 6.86730i −0.329352 0.259005i
\(704\) −0.923232 19.3810i −0.0347956 0.730450i
\(705\) 8.10898 + 33.4257i 0.305402 + 1.25888i
\(706\) −0.451922 3.14318i −0.0170083 0.118295i
\(707\) −18.5747 + 37.2485i −0.698572 + 1.40087i
\(708\) −0.478813 0.307715i −0.0179949 0.0115646i
\(709\) −38.1272 7.34841i −1.43190 0.275975i −0.586428 0.810001i \(-0.699466\pi\)
−0.845468 + 0.534026i \(0.820679\pi\)
\(710\) 0.629292 2.59398i 0.0236169 0.0973502i
\(711\) −15.9117 1.51938i −0.596734 0.0569812i
\(712\) 0.605142 + 1.04814i 0.0226786 + 0.0392806i
\(713\) 5.37316 + 14.2201i 0.201227 + 0.532548i
\(714\) 1.43508 + 3.44978i 0.0537065 + 0.129105i
\(715\) 0.136294 + 0.298443i 0.00509712 + 0.0111611i
\(716\) −8.67375 8.27040i −0.324153 0.309079i
\(717\) 1.89525 + 5.47596i 0.0707794 + 0.204504i
\(718\) 4.98807 2.57153i 0.186153 0.0959686i
\(719\) 0.740393 2.13923i 0.0276120 0.0797797i −0.930353 0.366666i \(-0.880499\pi\)
0.957965 + 0.286887i \(0.0926203\pi\)
\(720\) 1.93343 + 13.4473i 0.0720547 + 0.501152i
\(721\) 26.7127 + 11.7688i 0.994834 + 0.438292i
\(722\) 2.84192 1.82639i 0.105765 0.0679713i
\(723\) 0.557941 0.223366i 0.0207501 0.00830707i
\(724\) −14.4588 20.3045i −0.537355 0.754610i
\(725\) −47.1641 66.2327i −1.75163 2.45982i
\(726\) 0.640244 0.256315i 0.0237617 0.00951275i
\(727\) 8.86062 5.69437i 0.328622 0.211193i −0.365917 0.930647i \(-0.619245\pi\)
0.694539 + 0.719455i \(0.255608\pi\)
\(728\) 0.0546478 0.0400302i 0.00202538 0.00148362i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 2.27588 6.57573i 0.0842342 0.243379i
\(731\) −12.5012 + 6.44484i −0.462375 + 0.238371i
\(732\) −6.20338 17.9235i −0.229284 0.662471i
\(733\) 2.12556 + 2.02672i 0.0785094 + 0.0748585i 0.728318 0.685239i \(-0.240302\pi\)
−0.649809 + 0.760098i \(0.725151\pi\)
\(734\) −2.19979 4.81686i −0.0811956 0.177794i
\(735\) 6.58877 + 24.2947i 0.243030 + 0.896123i
\(736\) −10.1649 3.74191i −0.374683 0.137929i
\(737\) 18.4756 + 32.0007i 0.680558 + 1.17876i
\(738\) 1.88648 + 0.180137i 0.0694424 + 0.00663095i
\(739\) 0.851927 3.51169i 0.0313386 0.129180i −0.953993 0.299827i \(-0.903071\pi\)
0.985332 + 0.170648i \(0.0545860\pi\)
\(740\) 62.9721 + 12.1369i 2.31490 + 0.446160i
\(741\) −0.0344364 0.0221309i −0.00126505 0.000813000i
\(742\) 2.49639 0.152509i 0.0916452 0.00559878i
\(743\) 4.48766 + 31.2124i 0.164636 + 1.14507i 0.889752 + 0.456444i \(0.150877\pi\)
−0.725116 + 0.688627i \(0.758214\pi\)
\(744\) −0.571488 2.35571i −0.0209518 0.0863644i
\(745\) 0.586316 + 12.3083i 0.0214810 + 0.450941i
\(746\) 1.98465 + 1.56075i 0.0726633 + 0.0571430i
\(747\) 4.16400 0.397614i 0.152353 0.0145479i
\(748\) 16.2599 35.6042i 0.594521 1.30182i
\(749\) −4.30724 + 15.4321i −0.157383 + 0.563875i
\(750\) 1.71145 1.09988i 0.0624932 0.0401620i
\(751\) 1.76951 + 7.29401i 0.0645703 + 0.266162i 0.994941 0.100457i \(-0.0320304\pi\)
−0.930371 + 0.366619i \(0.880515\pi\)
\(752\) −33.5465 13.4300i −1.22332 0.489742i
\(753\) −3.52076 + 0.678571i −0.128304 + 0.0247285i
\(754\) −0.00315159 + 0.0661601i −0.000114774 + 0.00240941i
\(755\) −19.8152 + 22.8679i −0.721148 + 0.832250i
\(756\) 3.26455 + 4.03851i 0.118731 + 0.146879i
\(757\) 1.02937 + 2.25400i 0.0374130 + 0.0819230i 0.927416 0.374032i \(-0.122025\pi\)
−0.890003 + 0.455955i \(0.849298\pi\)
\(758\) 1.15506 + 2.00061i 0.0419535 + 0.0726656i
\(759\) 0.255187 13.0668i 0.00926269 0.474296i
\(760\) 1.68121 2.91195i 0.0609840 0.105627i
\(761\) 7.10858 9.98260i 0.257686 0.361869i −0.665384 0.746501i \(-0.731732\pi\)
0.923070 + 0.384632i \(0.125672\pi\)
\(762\) −0.250737 + 0.0736231i −0.00908326 + 0.00266708i
\(763\) −4.28997 1.42062i −0.155307 0.0514298i
\(764\) 1.15828 + 0.744380i 0.0419050 + 0.0269307i
\(765\) −8.60680 + 24.8677i −0.311180 + 0.899095i
\(766\) 0.352415 + 0.141086i 0.0127333 + 0.00509763i
\(767\) −0.00702641 + 0.00669967i −0.000253709 + 0.000241911i
\(768\) −11.6465 6.00418i −0.420256 0.216657i
\(769\) 2.34961 16.3419i 0.0847290 0.589303i −0.902584 0.430515i \(-0.858332\pi\)
0.987313 0.158789i \(-0.0507589\pi\)
\(770\) −2.64845 + 4.24523i −0.0954435 + 0.152987i
\(771\) −3.71083 + 8.12559i −0.133642 + 0.292636i
\(772\) 22.3601