Properties

Label 483.2.y.a.16.4
Level $483$
Weight $2$
Character 483.16
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 16.4
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.a.151.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.461078 - 1.33220i) q^{2} +(0.888835 + 0.458227i) q^{3} +(0.00994599 - 0.00782161i) q^{4} +(3.91624 + 0.373956i) q^{5} +(0.200626 - 1.39538i) q^{6} +(-1.00683 - 2.44669i) q^{7} +(-2.38689 - 1.53396i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.461078 - 1.33220i) q^{2} +(0.888835 + 0.458227i) q^{3} +(0.00994599 - 0.00782161i) q^{4} +(3.91624 + 0.373956i) q^{5} +(0.200626 - 1.39538i) q^{6} +(-1.00683 - 2.44669i) q^{7} +(-2.38689 - 1.53396i) q^{8} +(0.580057 + 0.814576i) q^{9} +(-1.30751 - 5.38963i) q^{10} +(0.718534 - 2.07607i) q^{11} +(0.0124244 - 0.00239461i) q^{12} +(-2.77780 - 0.815635i) q^{13} +(-2.79525 + 2.46941i) q^{14} +(3.30954 + 2.12691i) q^{15} +(-0.937032 + 3.86250i) q^{16} +(-5.91972 + 2.36990i) q^{17} +(0.817725 - 1.14833i) q^{18} +(5.31114 + 2.12626i) q^{19} +(0.0418758 - 0.0269120i) q^{20} +(0.226236 - 2.63606i) q^{21} -3.09704 q^{22} +(3.80601 - 2.91792i) q^{23} +(-1.41865 - 2.45718i) q^{24} +(10.2875 + 1.98275i) q^{25} +(0.194195 + 4.07665i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-0.0291509 - 0.0164598i) q^{28} +(0.814101 - 5.66220i) q^{29} +(1.30751 - 5.38963i) q^{30} +(-0.517648 + 10.8668i) q^{31} +(-0.0712514 + 0.00680368i) q^{32} +(1.58997 - 1.51603i) q^{33} +(5.88663 + 6.79353i) q^{34} +(-3.02802 - 9.95834i) q^{35} +(0.0121405 + 0.00356478i) q^{36} +(0.577496 + 0.810980i) q^{37} +(0.383748 - 8.05586i) q^{38} +(-2.09526 - 1.99783i) q^{39} +(-8.77401 - 6.89996i) q^{40} +(3.70836 + 8.12017i) q^{41} +(-3.61607 + 0.914040i) q^{42} +(-2.57104 + 1.65231i) q^{43} +(-0.00909166 - 0.0262686i) q^{44} +(1.96703 + 3.40699i) q^{45} +(-5.64212 - 3.72498i) q^{46} +(-1.20253 + 2.08284i) q^{47} +(-2.60277 + 3.00375i) q^{48} +(-4.97260 + 4.92679i) q^{49} +(-2.10192 - 14.6191i) q^{50} +(-6.34760 - 0.606123i) q^{51} +(-0.0340075 + 0.0136146i) q^{52} +(-7.89807 - 7.53080i) q^{53} +(1.25302 - 0.645977i) q^{54} +(3.59031 - 7.86168i) q^{55} +(-1.34995 + 7.38442i) q^{56} +(3.74642 + 4.32360i) q^{57} +(-7.91854 + 1.52617i) q^{58} +(-1.16402 - 4.79817i) q^{59} +(0.0495525 - 0.00473169i) q^{60} +(1.87099 - 0.964564i) q^{61} +(14.7154 - 4.32082i) q^{62} +(1.40900 - 2.23936i) q^{63} +(3.34408 + 7.32251i) q^{64} +(-10.5735 - 4.23300i) q^{65} +(-2.75276 - 1.41914i) q^{66} +(13.2621 + 2.55606i) q^{67} +(-0.0403410 + 0.0698727i) q^{68} +(4.71999 - 0.849534i) q^{69} +(-11.8703 + 8.62550i) q^{70} +(7.11935 - 8.21616i) q^{71} +(-0.135004 - 2.83409i) q^{72} +(-2.17355 + 1.70930i) q^{73} +(0.814115 - 1.14327i) q^{74} +(8.23531 + 6.47632i) q^{75} +(0.0694553 - 0.0203939i) q^{76} +(-5.80294 + 0.332209i) q^{77} +(-1.69542 + 3.71246i) q^{78} +(-3.91184 + 3.72993i) q^{79} +(-5.11405 + 14.7761i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(9.10783 - 8.68430i) q^{82} +(-2.79661 + 6.12372i) q^{83} +(-0.0183681 - 0.0279878i) q^{84} +(-24.0693 + 7.06738i) q^{85} +(3.38666 + 2.66330i) q^{86} +(3.31817 - 4.65972i) q^{87} +(-4.89967 + 3.85315i) q^{88} +(-0.0143355 - 0.300940i) q^{89} +(3.63184 - 4.19136i) q^{90} +(0.801153 + 7.61762i) q^{91} +(0.0150317 - 0.0587907i) q^{92} +(-5.43954 + 9.42157i) q^{93} +(3.32922 + 0.641654i) q^{94} +(20.0046 + 10.3131i) q^{95} +(-0.0664484 - 0.0266019i) q^{96} +(-0.168661 - 0.369316i) q^{97} +(8.85622 + 4.35286i) q^{98} +(2.10791 - 0.618937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.461078 1.33220i −0.326032 0.942007i −0.982273 0.187456i \(-0.939976\pi\)
0.656241 0.754551i \(-0.272145\pi\)
\(3\) 0.888835 + 0.458227i 0.513169 + 0.264557i
\(4\) 0.00994599 0.00782161i 0.00497299 0.00391080i
\(5\) 3.91624 + 0.373956i 1.75140 + 0.167238i 0.920903 0.389791i \(-0.127453\pi\)
0.830493 + 0.557029i \(0.188059\pi\)
\(6\) 0.200626 1.39538i 0.0819052 0.569663i
\(7\) −1.00683 2.44669i −0.380545 0.924763i
\(8\) −2.38689 1.53396i −0.843894 0.542337i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) −1.30751 5.38963i −0.413471 1.70435i
\(11\) 0.718534 2.07607i 0.216646 0.625958i −0.783344 0.621588i \(-0.786488\pi\)
0.999990 0.00436999i \(-0.00139102\pi\)
\(12\) 0.0124244 0.00239461i 0.00358662 0.000691264i
\(13\) −2.77780 0.815635i −0.770422 0.226216i −0.127181 0.991880i \(-0.540593\pi\)
−0.643242 + 0.765663i \(0.722411\pi\)
\(14\) −2.79525 + 2.46941i −0.747063 + 0.659978i
\(15\) 3.30954 + 2.12691i 0.854519 + 0.549166i
\(16\) −0.937032 + 3.86250i −0.234258 + 0.965624i
\(17\) −5.91972 + 2.36990i −1.43574 + 0.574784i −0.953537 0.301274i \(-0.902588\pi\)
−0.482204 + 0.876059i \(0.660164\pi\)
\(18\) 0.817725 1.14833i 0.192740 0.270665i
\(19\) 5.31114 + 2.12626i 1.21846 + 0.487797i 0.889669 0.456606i \(-0.150935\pi\)
0.328789 + 0.944403i \(0.393359\pi\)
\(20\) 0.0418758 0.0269120i 0.00936372 0.00601770i
\(21\) 0.226236 2.63606i 0.0493687 0.575236i
\(22\) −3.09704 −0.660290
\(23\) 3.80601 2.91792i 0.793609 0.608428i
\(24\) −1.41865 2.45718i −0.289581 0.501569i
\(25\) 10.2875 + 1.98275i 2.05749 + 0.396549i
\(26\) 0.194195 + 4.07665i 0.0380847 + 0.799497i
\(27\) 0.142315 + 0.989821i 0.0273885 + 0.190491i
\(28\) −0.0291509 0.0164598i −0.00550901 0.00311060i
\(29\) 0.814101 5.66220i 0.151175 1.05144i −0.763080 0.646304i \(-0.776314\pi\)
0.914255 0.405140i \(-0.132777\pi\)
\(30\) 1.30751 5.38963i 0.238718 0.984008i
\(31\) −0.517648 + 10.8668i −0.0929723 + 1.95173i 0.166644 + 0.986017i \(0.446707\pi\)
−0.259617 + 0.965712i \(0.583596\pi\)
\(32\) −0.0712514 + 0.00680368i −0.0125956 + 0.00120273i
\(33\) 1.58997 1.51603i 0.276778 0.263907i
\(34\) 5.88663 + 6.79353i 1.00955 + 1.16508i
\(35\) −3.02802 9.95834i −0.511829 1.68327i
\(36\) 0.0121405 + 0.00356478i 0.00202342 + 0.000594130i
\(37\) 0.577496 + 0.810980i 0.0949398 + 0.133324i 0.859314 0.511449i \(-0.170891\pi\)
−0.764374 + 0.644773i \(0.776952\pi\)
\(38\) 0.383748 8.05586i 0.0622522 1.30683i
\(39\) −2.09526 1.99783i −0.335510 0.319908i
\(40\) −8.77401 6.89996i −1.38729 1.09098i
\(41\) 3.70836 + 8.12017i 0.579148 + 1.26816i 0.941782 + 0.336225i \(0.109150\pi\)
−0.362634 + 0.931932i \(0.618122\pi\)
\(42\) −3.61607 + 0.914040i −0.557972 + 0.141039i
\(43\) −2.57104 + 1.65231i −0.392080 + 0.251975i −0.721796 0.692105i \(-0.756683\pi\)
0.329716 + 0.944080i \(0.393047\pi\)
\(44\) −0.00909166 0.0262686i −0.00137062 0.00396015i
\(45\) 1.96703 + 3.40699i 0.293227 + 0.507884i
\(46\) −5.64212 3.72498i −0.831885 0.549218i
\(47\) −1.20253 + 2.08284i −0.175407 + 0.303813i −0.940302 0.340341i \(-0.889457\pi\)
0.764895 + 0.644155i \(0.222791\pi\)
\(48\) −2.60277 + 3.00375i −0.375677 + 0.433554i
\(49\) −4.97260 + 4.92679i −0.710372 + 0.703827i
\(50\) −2.10192 14.6191i −0.297256 2.06746i
\(51\) −6.34760 0.606123i −0.888842 0.0848741i
\(52\) −0.0340075 + 0.0136146i −0.00471599 + 0.00188800i
\(53\) −7.89807 7.53080i −1.08488 1.03443i −0.999274 0.0381057i \(-0.987868\pi\)
−0.0856099 0.996329i \(-0.527284\pi\)
\(54\) 1.25302 0.645977i 0.170515 0.0879063i
\(55\) 3.59031 7.86168i 0.484117 1.06007i
\(56\) −1.34995 + 7.38442i −0.180394 + 0.986785i
\(57\) 3.74642 + 4.32360i 0.496225 + 0.572675i
\(58\) −7.91854 + 1.52617i −1.03976 + 0.200396i
\(59\) −1.16402 4.79817i −0.151543 0.624668i −0.996024 0.0890833i \(-0.971606\pi\)
0.844481 0.535585i \(-0.179909\pi\)
\(60\) 0.0495525 0.00473169i 0.00639720 0.000610858i
\(61\) 1.87099 0.964564i 0.239556 0.123500i −0.334269 0.942478i \(-0.608489\pi\)
0.573825 + 0.818978i \(0.305459\pi\)
\(62\) 14.7154 4.32082i 1.86885 0.548745i
\(63\) 1.40900 2.23936i 0.177517 0.282132i
\(64\) 3.34408 + 7.32251i 0.418010 + 0.915314i
\(65\) −10.5735 4.23300i −1.31148 0.525039i
\(66\) −2.75276 1.41914i −0.338841 0.174685i
\(67\) 13.2621 + 2.55606i 1.62022 + 0.312272i 0.917057 0.398756i \(-0.130558\pi\)
0.703163 + 0.711028i \(0.251770\pi\)
\(68\) −0.0403410 + 0.0698727i −0.00489206 + 0.00847330i
\(69\) 4.71999 0.849534i 0.568220 0.102272i
\(70\) −11.8703 + 8.62550i −1.41878 + 1.03094i
\(71\) 7.11935 8.21616i 0.844911 0.975079i −0.155007 0.987913i \(-0.549540\pi\)
0.999918 + 0.0128342i \(0.00408537\pi\)
\(72\) −0.135004 2.83409i −0.0159104 0.334001i
\(73\) −2.17355 + 1.70930i −0.254395 + 0.200058i −0.737209 0.675664i \(-0.763857\pi\)
0.482815 + 0.875723i \(0.339614\pi\)
\(74\) 0.814115 1.14327i 0.0946390 0.132902i
\(75\) 8.23531 + 6.47632i 0.950932 + 0.747821i
\(76\) 0.0694553 0.0203939i 0.00796706 0.00233934i
\(77\) −5.80294 + 0.332209i −0.661306 + 0.0378587i
\(78\) −1.69542 + 3.71246i −0.191969 + 0.420353i
\(79\) −3.91184 + 3.72993i −0.440117 + 0.419650i −0.877464 0.479642i \(-0.840766\pi\)
0.437347 + 0.899293i \(0.355918\pi\)
\(80\) −5.11405 + 14.7761i −0.571768 + 1.65201i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) 9.10783 8.68430i 1.00579 0.959021i
\(83\) −2.79661 + 6.12372i −0.306968 + 0.672166i −0.998752 0.0499384i \(-0.984097\pi\)
0.691785 + 0.722104i \(0.256825\pi\)
\(84\) −0.0183681 0.0279878i −0.00200412 0.00305371i
\(85\) −24.0693 + 7.06738i −2.61068 + 0.766565i
\(86\) 3.38666 + 2.66330i 0.365193 + 0.287191i
\(87\) 3.31817 4.65972i 0.355745 0.499574i
\(88\) −4.89967 + 3.85315i −0.522307 + 0.410747i
\(89\) −0.0143355 0.300940i −0.00151956 0.0318996i 0.997980 0.0635256i \(-0.0202345\pi\)
−0.999500 + 0.0316261i \(0.989931\pi\)
\(90\) 3.63184 4.19136i 0.382829 0.441808i
\(91\) 0.801153 + 7.61762i 0.0839837 + 0.798543i
\(92\) 0.0150317 0.0587907i 0.00156717 0.00612936i
\(93\) −5.43954 + 9.42157i −0.564054 + 0.976971i
\(94\) 3.32922 + 0.641654i 0.343382 + 0.0661815i
\(95\) 20.0046 + 10.3131i 2.05243 + 1.05810i
\(96\) −0.0664484 0.0266019i −0.00678186 0.00271505i
\(97\) −0.168661 0.369316i −0.0171249 0.0374984i 0.900876 0.434076i \(-0.142925\pi\)
−0.918001 + 0.396578i \(0.870198\pi\)
\(98\) 8.85622 + 4.35286i 0.894613 + 0.439705i
\(99\) 2.10791 0.618937i 0.211853 0.0622055i
\(100\) 0.117827 0.0607441i 0.0117827 0.00607441i
\(101\) −10.4681 + 0.999587i −1.04162 + 0.0994626i −0.601819 0.798633i \(-0.705557\pi\)
−0.439801 + 0.898095i \(0.644951\pi\)
\(102\) 2.11927 + 8.73574i 0.209839 + 0.864967i
\(103\) −1.72274 + 0.332030i −0.169746 + 0.0327159i −0.273416 0.961896i \(-0.588154\pi\)
0.103670 + 0.994612i \(0.466941\pi\)
\(104\) 5.37915 + 6.20787i 0.527469 + 0.608732i
\(105\) 1.87176 10.2388i 0.182666 0.999209i
\(106\) −6.39089 + 13.9941i −0.620738 + 1.35923i
\(107\) 5.70039 2.93876i 0.551077 0.284100i −0.160114 0.987099i \(-0.551186\pi\)
0.711191 + 0.702998i \(0.248156\pi\)
\(108\) 0.00915746 + 0.00873162i 0.000881177 + 0.000840200i
\(109\) −0.691467 + 0.276822i −0.0662305 + 0.0265147i −0.404541 0.914520i \(-0.632569\pi\)
0.338311 + 0.941034i \(0.390145\pi\)
\(110\) −12.1287 1.15815i −1.15643 0.110426i
\(111\) 0.141687 + 0.985452i 0.0134483 + 0.0935349i
\(112\) 10.3938 1.59624i 0.982119 0.150830i
\(113\) −7.06220 + 8.15021i −0.664356 + 0.766708i −0.983482 0.181004i \(-0.942065\pi\)
0.319126 + 0.947712i \(0.396611\pi\)
\(114\) 4.03250 6.98449i 0.377678 0.654158i
\(115\) 15.9964 10.0040i 1.49168 0.932878i
\(116\) −0.0361905 0.0626837i −0.00336020 0.00582004i
\(117\) −0.946884 2.73584i −0.0875395 0.252929i
\(118\) −5.85541 + 3.76304i −0.539034 + 0.346416i
\(119\) 11.7585 + 12.0976i 1.07790 + 1.10899i
\(120\) −4.63691 10.1534i −0.423290 0.926875i
\(121\) 4.85282 + 3.81630i 0.441165 + 0.346936i
\(122\) −2.14767 2.04780i −0.194441 0.185399i
\(123\) −0.424758 + 8.91676i −0.0382991 + 0.803997i
\(124\) 0.0798471 + 0.112130i 0.00717048 + 0.0100695i
\(125\) 20.6732 + 6.07021i 1.84907 + 0.542936i
\(126\) −3.63293 0.844548i −0.323647 0.0752383i
\(127\) 7.66497 + 8.84584i 0.680156 + 0.784942i 0.985929 0.167163i \(-0.0534605\pi\)
−0.305774 + 0.952104i \(0.598915\pi\)
\(128\) 8.10955 7.73244i 0.716790 0.683458i
\(129\) −3.04237 + 0.290511i −0.267865 + 0.0255780i
\(130\) −0.763973 + 16.0378i −0.0670049 + 1.40661i
\(131\) 2.63485 10.8610i 0.230208 0.948931i −0.733012 0.680216i \(-0.761886\pi\)
0.963220 0.268715i \(-0.0865989\pi\)
\(132\) 0.00395599 0.0275145i 0.000344325 0.00239483i
\(133\) −0.145094 15.1355i −0.0125813 1.31241i
\(134\) −2.70968 18.8463i −0.234081 1.62807i
\(135\) 0.187190 + 3.92960i 0.0161107 + 0.338206i
\(136\) 17.7650 + 3.42393i 1.52334 + 0.293600i
\(137\) 2.34912 + 4.06880i 0.200699 + 0.347621i 0.948754 0.316016i \(-0.102345\pi\)
−0.748055 + 0.663637i \(0.769012\pi\)
\(138\) −3.30803 5.89626i −0.281598 0.501923i
\(139\) −0.769654 −0.0652812 −0.0326406 0.999467i \(-0.510392\pi\)
−0.0326406 + 0.999467i \(0.510392\pi\)
\(140\) −0.108007 0.0753615i −0.00912825 0.00636921i
\(141\) −2.02326 + 1.30027i −0.170389 + 0.109503i
\(142\) −14.2281 5.69609i −1.19400 0.478005i
\(143\) −3.68926 + 5.18084i −0.308511 + 0.433243i
\(144\) −3.68983 + 1.47718i −0.307486 + 0.123099i
\(145\) 5.30563 21.8701i 0.440608 1.81621i
\(146\) 3.27930 + 2.10748i 0.271397 + 0.174416i
\(147\) −6.67741 + 2.10053i −0.550743 + 0.173248i
\(148\) 0.0120869 + 0.00354904i 0.000993540 + 0.000291730i
\(149\) −6.91964 + 1.33365i −0.566879 + 0.109257i −0.464635 0.885502i \(-0.653814\pi\)
−0.102244 + 0.994759i \(0.532602\pi\)
\(150\) 4.83062 13.9572i 0.394419 1.13960i
\(151\) 0.0887518 + 0.365840i 0.00722252 + 0.0297716i 0.975309 0.220845i \(-0.0708816\pi\)
−0.968086 + 0.250617i \(0.919366\pi\)
\(152\) −9.41551 13.2222i −0.763699 1.07246i
\(153\) −5.36423 3.44738i −0.433673 0.278704i
\(154\) 3.11818 + 7.57749i 0.251270 + 0.610612i
\(155\) −6.09092 + 42.3633i −0.489235 + 3.40270i
\(156\) −0.0364656 0.00348205i −0.00291959 0.000278787i
\(157\) −2.89497 + 2.27663i −0.231044 + 0.181695i −0.726969 0.686671i \(-0.759071\pi\)
0.495925 + 0.868365i \(0.334829\pi\)
\(158\) 6.77268 + 3.49156i 0.538806 + 0.277774i
\(159\) −3.56928 10.3127i −0.283062 0.817854i
\(160\) −0.281582 −0.0222610
\(161\) −10.9712 6.37430i −0.864655 0.502366i
\(162\) 1.40973 0.110759
\(163\) −5.04927 14.5889i −0.395489 1.14269i −0.950467 0.310826i \(-0.899394\pi\)
0.554977 0.831866i \(-0.312727\pi\)
\(164\) 0.100396 + 0.0517577i 0.00783961 + 0.00404160i
\(165\) 6.79363 5.34257i 0.528883 0.415918i
\(166\) 9.44747 + 0.902124i 0.733266 + 0.0700184i
\(167\) −1.58310 + 11.0107i −0.122504 + 0.852036i 0.832199 + 0.554477i \(0.187082\pi\)
−0.954703 + 0.297559i \(0.903827\pi\)
\(168\) −4.58362 + 5.94495i −0.353634 + 0.458663i
\(169\) −3.88540 2.49699i −0.298877 0.192076i
\(170\) 20.5130 + 28.8064i 1.57327 + 2.20935i
\(171\) 1.34876 + 5.55968i 0.103142 + 0.425159i
\(172\) −0.0126478 + 0.0365435i −0.000964389 + 0.00278642i
\(173\) 6.18827 1.19269i 0.470486 0.0906787i 0.0515028 0.998673i \(-0.483599\pi\)
0.418983 + 0.907994i \(0.362387\pi\)
\(174\) −7.73761 2.27197i −0.586587 0.172237i
\(175\) −5.50652 27.1665i −0.416254 2.05360i
\(176\) 7.34552 + 4.72068i 0.553689 + 0.355835i
\(177\) 1.16402 4.79817i 0.0874933 0.360652i
\(178\) −0.394302 + 0.157855i −0.0295542 + 0.0118317i
\(179\) −11.5144 + 16.1697i −0.860625 + 1.20858i 0.115919 + 0.993259i \(0.463019\pi\)
−0.976544 + 0.215319i \(0.930921\pi\)
\(180\) 0.0462122 + 0.0185006i 0.00344445 + 0.00137895i
\(181\) −9.62523 + 6.18576i −0.715438 + 0.459784i −0.847047 0.531518i \(-0.821622\pi\)
0.131609 + 0.991302i \(0.457986\pi\)
\(182\) 9.77879 4.57961i 0.724852 0.339464i
\(183\) 2.10499 0.155606
\(184\) −13.5605 + 1.12648i −0.999695 + 0.0830449i
\(185\) 1.95834 + 3.39195i 0.143980 + 0.249381i
\(186\) 15.0595 + 2.90247i 1.10421 + 0.212820i
\(187\) 0.666549 + 13.9926i 0.0487429 + 1.02324i
\(188\) 0.00433083 + 0.0301216i 0.000315858 + 0.00219684i
\(189\) 2.27850 1.34478i 0.165737 0.0978183i
\(190\) 4.51539 31.4052i 0.327581 2.27837i
\(191\) −0.882085 + 3.63600i −0.0638254 + 0.263092i −0.994780 0.102043i \(-0.967462\pi\)
0.930955 + 0.365135i \(0.118977\pi\)
\(192\) −0.383033 + 8.04085i −0.0276430 + 0.580299i
\(193\) −17.7795 + 1.69774i −1.27980 + 0.122206i −0.712715 0.701454i \(-0.752535\pi\)
−0.567084 + 0.823660i \(0.691929\pi\)
\(194\) −0.414237 + 0.394974i −0.0297405 + 0.0283575i
\(195\) −7.45844 8.60750i −0.534110 0.616396i
\(196\) −0.0109220 + 0.0878955i −0.000780143 + 0.00627825i
\(197\) −18.0784 5.30830i −1.28803 0.378201i −0.435177 0.900345i \(-0.643314\pi\)
−0.852857 + 0.522144i \(0.825132\pi\)
\(198\) −1.79646 2.52277i −0.127669 0.179286i
\(199\) 1.16011 24.3536i 0.0822378 1.72638i −0.461510 0.887135i \(-0.652692\pi\)
0.543748 0.839248i \(-0.317005\pi\)
\(200\) −21.5136 20.5132i −1.52124 1.45050i
\(201\) 10.6165 + 8.34895i 0.748834 + 0.588889i
\(202\) 6.15829 + 13.4848i 0.433295 + 0.948785i
\(203\) −14.6733 + 3.70900i −1.02986 + 0.260321i
\(204\) −0.0678740 + 0.0436200i −0.00475213 + 0.00305401i
\(205\) 11.4862 + 33.1873i 0.802233 + 2.31790i
\(206\) 1.23665 + 2.14194i 0.0861613 + 0.149236i
\(207\) 4.58457 + 1.40773i 0.318650 + 0.0978439i
\(208\) 5.75327 9.96496i 0.398918 0.690946i
\(209\) 8.23049 9.49849i 0.569315 0.657025i
\(210\) −14.5032 + 2.22735i −1.00082 + 0.153702i
\(211\) 0.674298 + 4.68984i 0.0464206 + 0.322862i 0.999779 + 0.0210217i \(0.00669191\pi\)
−0.953358 + 0.301840i \(0.902399\pi\)
\(212\) −0.137457 0.0131256i −0.00944059 0.000901467i
\(213\) 10.0928 4.04054i 0.691547 0.276854i
\(214\) −6.54333 6.23906i −0.447293 0.426493i
\(215\) −10.6867 + 5.50939i −0.728828 + 0.375737i
\(216\) 1.17866 2.58090i 0.0801975 0.175608i
\(217\) 27.1088 9.67442i 1.84027 0.656743i
\(218\) 0.687602 + 0.793535i 0.0465703 + 0.0537450i
\(219\) −2.71517 + 0.523307i −0.183475 + 0.0353618i
\(220\) −0.0257818 0.106274i −0.00173821 0.00716501i
\(221\) 18.3767 1.75477i 1.23615 0.118038i
\(222\) 1.24749 0.643125i 0.0837260 0.0431637i
\(223\) −11.7589 + 3.45273i −0.787435 + 0.231212i −0.650639 0.759387i \(-0.725499\pi\)
−0.136796 + 0.990599i \(0.543681\pi\)
\(224\) 0.0883843 + 0.167480i 0.00590543 + 0.0111902i
\(225\) 4.35222 + 9.53002i 0.290148 + 0.635335i
\(226\) 14.1139 + 5.65037i 0.938845 + 0.375857i
\(227\) 10.0252 + 5.16834i 0.665395 + 0.343035i 0.757613 0.652704i \(-0.226365\pi\)
−0.0922183 + 0.995739i \(0.529396\pi\)
\(228\) 0.0710793 + 0.0136994i 0.00470734 + 0.000907266i
\(229\) 4.06454 7.04000i 0.268593 0.465216i −0.699906 0.714235i \(-0.746775\pi\)
0.968499 + 0.249019i \(0.0801081\pi\)
\(230\) −20.7029 16.6978i −1.36511 1.10102i
\(231\) −5.31008 2.36378i −0.349378 0.155525i
\(232\) −10.6288 + 12.2663i −0.697813 + 0.805319i
\(233\) −1.00327 21.0612i −0.0657264 1.37977i −0.755218 0.655474i \(-0.772469\pi\)
0.689492 0.724294i \(-0.257834\pi\)
\(234\) −3.20810 + 2.52288i −0.209720 + 0.164926i
\(235\) −5.48828 + 7.70721i −0.358016 + 0.502763i
\(236\) −0.0491068 0.0386180i −0.00319658 0.00251382i
\(237\) −5.18614 + 1.52279i −0.336876 + 0.0989157i
\(238\) 10.6949 21.2427i 0.693245 1.37696i
\(239\) 10.6931 23.4146i 0.691680 1.51457i −0.158097 0.987424i \(-0.550536\pi\)
0.849776 0.527144i \(-0.176737\pi\)
\(240\) −11.3163 + 10.7901i −0.730466 + 0.696498i
\(241\) −1.86244 + 5.38117i −0.119970 + 0.346632i −0.988957 0.148204i \(-0.952651\pi\)
0.868986 + 0.494836i \(0.164772\pi\)
\(242\) 2.84654 8.22453i 0.182982 0.528693i
\(243\) −0.723734 + 0.690079i −0.0464276 + 0.0442686i
\(244\) 0.0110644 0.0242277i 0.000708327 0.00155102i
\(245\) −21.3163 + 17.4350i −1.36185 + 1.11388i
\(246\) 12.0747 3.54546i 0.769857 0.226051i
\(247\) −13.0190 10.2383i −0.828380 0.651445i
\(248\) 17.9048 25.1437i 1.13695 1.59663i
\(249\) −5.29178 + 4.16150i −0.335353 + 0.263724i
\(250\) −1.44526 30.3397i −0.0914061 1.91885i
\(251\) −1.15641 + 1.33456i −0.0729917 + 0.0842369i −0.791071 0.611725i \(-0.790476\pi\)
0.718079 + 0.695961i \(0.245022\pi\)
\(252\) −0.00350149 0.0332933i −0.000220573 0.00209728i
\(253\) −3.32305 9.99817i −0.208918 0.628580i
\(254\) 8.25027 14.2899i 0.517668 0.896627i
\(255\) −24.6321 4.74744i −1.54252 0.297297i
\(256\) 0.269905 + 0.139146i 0.0168691 + 0.00869661i
\(257\) 17.9083 + 7.16942i 1.11709 + 0.447216i 0.855417 0.517940i \(-0.173301\pi\)
0.261675 + 0.965156i \(0.415725\pi\)
\(258\) 1.78979 + 3.91909i 0.111427 + 0.243992i
\(259\) 1.40278 2.22947i 0.0871645 0.138533i
\(260\) −0.138273 + 0.0406006i −0.00857532 + 0.00251794i
\(261\) 5.08452 2.62125i 0.314724 0.162251i
\(262\) −15.6839 + 1.49763i −0.968954 + 0.0925239i
\(263\) 2.36835 + 9.76249i 0.146039 + 0.601981i 0.997045 + 0.0768244i \(0.0244781\pi\)
−0.851006 + 0.525157i \(0.824007\pi\)
\(264\) −6.12062 + 1.17965i −0.376698 + 0.0726026i
\(265\) −28.1146 32.4459i −1.72706 1.99314i
\(266\) −20.0966 + 7.17194i −1.23220 + 0.439740i
\(267\) 0.125157 0.274055i 0.00765946 0.0167719i
\(268\) 0.151897 0.0783083i 0.00927858 0.00478344i
\(269\) −8.37820 7.98860i −0.510828 0.487074i 0.390263 0.920703i \(-0.372384\pi\)
−0.901091 + 0.433630i \(0.857233\pi\)
\(270\) 5.14870 2.06123i 0.313340 0.125442i
\(271\) −24.0618 2.29762i −1.46165 0.139570i −0.666282 0.745700i \(-0.732115\pi\)
−0.795366 + 0.606129i \(0.792721\pi\)
\(272\) −3.60676 25.0856i −0.218692 1.52104i
\(273\) −2.77850 + 7.13792i −0.168163 + 0.432006i
\(274\) 4.33732 5.00554i 0.262027 0.302396i
\(275\) 11.5082 19.9328i 0.693971 1.20199i
\(276\) 0.0403002 0.0453674i 0.00242579 0.00273079i
\(277\) −1.32406 2.29333i −0.0795548 0.137793i 0.823503 0.567312i \(-0.192017\pi\)
−0.903058 + 0.429519i \(0.858683\pi\)
\(278\) 0.354871 + 1.02533i 0.0212837 + 0.0614953i
\(279\) −9.15207 + 5.88168i −0.547920 + 0.352127i
\(280\) −8.04816 + 28.4144i −0.480970 + 1.69808i
\(281\) 1.64119 + 3.59371i 0.0979052 + 0.214383i 0.952247 0.305329i \(-0.0987666\pi\)
−0.854342 + 0.519712i \(0.826039\pi\)
\(282\) 2.66510 + 2.09586i 0.158705 + 0.124807i
\(283\) 15.8963 + 15.1571i 0.944935 + 0.900994i 0.995212 0.0977414i \(-0.0311618\pi\)
−0.0502766 + 0.998735i \(0.516010\pi\)
\(284\) 0.00654529 0.137403i 0.000388392 0.00815334i
\(285\) 13.0550 + 18.3332i 0.773314 + 1.08597i
\(286\) 8.60294 + 2.52605i 0.508703 + 0.149369i
\(287\) 16.1339 17.2488i 0.952352 1.01816i
\(288\) −0.0468720 0.0540932i −0.00276196 0.00318747i
\(289\) 17.1231 16.3269i 1.00724 0.960405i
\(290\) −31.5816 + 3.01568i −1.85454 + 0.177087i
\(291\) 0.0193186 0.405547i 0.00113247 0.0237736i
\(292\) −0.00824863 + 0.0340013i −0.000482715 + 0.00198978i
\(293\) 2.74411 19.0857i 0.160312 1.11500i −0.737732 0.675093i \(-0.764103\pi\)
0.898045 0.439904i \(-0.144988\pi\)
\(294\) 5.87713 + 7.92713i 0.342761 + 0.462320i
\(295\) −2.76429 19.2261i −0.160943 1.11939i
\(296\) −0.134408 2.82158i −0.00781233 0.164001i
\(297\) 2.15719 + 0.415765i 0.125173 + 0.0241251i
\(298\) 4.96719 + 8.60342i 0.287741 + 0.498383i
\(299\) −12.9523 + 5.00107i −0.749051 + 0.289219i
\(300\) 0.132564 0.00765356
\(301\) 6.63129 + 4.62696i 0.382221 + 0.266694i
\(302\) 0.446450 0.286916i 0.0256903 0.0165102i
\(303\) −9.76250 3.90831i −0.560841 0.224527i
\(304\) −13.1894 + 18.5219i −0.756462 + 1.06230i
\(305\) 7.68797 3.07780i 0.440212 0.176234i
\(306\) −2.11927 + 8.73574i −0.121150 + 0.499389i
\(307\) 16.7917 + 10.7914i 0.958354 + 0.615896i 0.923542 0.383497i \(-0.125280\pi\)
0.0348117 + 0.999394i \(0.488917\pi\)
\(308\) −0.0551175 + 0.0486925i −0.00314061 + 0.00277451i
\(309\) −1.68337 0.494283i −0.0957638 0.0281188i
\(310\) 59.2447 11.4185i 3.36487 0.648526i
\(311\) 7.16484 20.7014i 0.406281 1.17387i −0.537490 0.843270i \(-0.680627\pi\)
0.943771 0.330601i \(-0.107251\pi\)
\(312\) 1.93657 + 7.98264i 0.109637 + 0.451928i
\(313\) 12.4428 + 17.4735i 0.703309 + 0.987660i 0.999471 + 0.0325220i \(0.0103539\pi\)
−0.296162 + 0.955138i \(0.595707\pi\)
\(314\) 4.36773 + 2.80697i 0.246485 + 0.158406i
\(315\) 6.35540 8.24296i 0.358086 0.464438i
\(316\) −0.00973304 + 0.0676948i −0.000547526 + 0.00380813i
\(317\) −25.7758 2.46129i −1.44772 0.138240i −0.658604 0.752490i \(-0.728853\pi\)
−0.789112 + 0.614250i \(0.789459\pi\)
\(318\) −12.0929 + 9.50997i −0.678137 + 0.533293i
\(319\) −11.1702 5.75861i −0.625408 0.322420i
\(320\) 10.3579 + 29.9273i 0.579026 + 1.67298i
\(321\) 6.41332 0.357957
\(322\) −3.43324 + 17.5549i −0.191327 + 0.978298i
\(323\) −36.4794 −2.02977
\(324\) 0.00413841 + 0.0119572i 0.000229912 + 0.000664287i
\(325\) −26.9593 13.8985i −1.49543 0.770949i
\(326\) −17.1072 + 13.4533i −0.947481 + 0.745108i
\(327\) −0.741448 0.0707997i −0.0410021 0.00391523i
\(328\) 3.60458 25.0704i 0.199030 1.38428i
\(329\) 6.30680 + 0.845157i 0.347705 + 0.0465950i
\(330\) −10.2498 6.58712i −0.564231 0.362609i
\(331\) −13.5819 19.0732i −0.746531 1.04836i −0.996781 0.0801745i \(-0.974452\pi\)
0.250250 0.968181i \(-0.419487\pi\)
\(332\) 0.0200823 + 0.0827804i 0.00110216 + 0.00454316i
\(333\) −0.325624 + 0.940829i −0.0178441 + 0.0515571i
\(334\) 15.3984 2.96780i 0.842564 0.162391i
\(335\) 50.9816 + 14.9696i 2.78542 + 0.817874i
\(336\) 9.96979 + 3.34391i 0.543897 + 0.182425i
\(337\) −3.57558 2.29789i −0.194774 0.125174i 0.439619 0.898185i \(-0.355114\pi\)
−0.634393 + 0.773011i \(0.718750\pi\)
\(338\) −1.53502 + 6.32743i −0.0834940 + 0.344167i
\(339\) −10.0118 + 4.00811i −0.543765 + 0.217691i
\(340\) −0.184114 + 0.258552i −0.00998500 + 0.0140220i
\(341\) 22.1882 + 8.88282i 1.20156 + 0.481031i
\(342\) 6.78471 4.36027i 0.366875 0.235776i
\(343\) 17.0609 + 7.20600i 0.921201 + 0.389087i
\(344\) 8.67138 0.467529
\(345\) 18.8023 1.56191i 1.01228 0.0840906i
\(346\) −4.44218 7.69408i −0.238813 0.413636i
\(347\) −10.1554 1.95728i −0.545168 0.105072i −0.0907709 0.995872i \(-0.528933\pi\)
−0.454397 + 0.890799i \(0.650145\pi\)
\(348\) −0.00344402 0.0722989i −0.000184619 0.00387563i
\(349\) −2.13444 14.8453i −0.114254 0.794652i −0.963702 0.266980i \(-0.913974\pi\)
0.849448 0.527672i \(-0.176935\pi\)
\(350\) −33.6523 + 19.8617i −1.79879 + 1.06165i
\(351\) 0.412011 2.86560i 0.0219915 0.152954i
\(352\) −0.0370717 + 0.152811i −0.00197593 + 0.00814488i
\(353\) 1.55279 32.5972i 0.0826469 1.73497i −0.453858 0.891074i \(-0.649953\pi\)
0.536505 0.843897i \(-0.319744\pi\)
\(354\) −6.92882 + 0.661622i −0.368263 + 0.0351648i
\(355\) 30.9536 29.5142i 1.64284 1.56645i
\(356\) −0.00249641 0.00288102i −0.000132310 0.000152694i
\(357\) 4.90794 + 16.1409i 0.259756 + 0.854266i
\(358\) 26.8502 + 7.88394i 1.41908 + 0.416679i
\(359\) 11.7105 + 16.4452i 0.618059 + 0.867942i 0.998379 0.0569124i \(-0.0181256\pi\)
−0.380320 + 0.924855i \(0.624186\pi\)
\(360\) 0.531114 11.1495i 0.0279922 0.587628i
\(361\) 9.93626 + 9.47420i 0.522961 + 0.498642i
\(362\) 12.6786 + 9.97060i 0.666375 + 0.524043i
\(363\) 2.56463 + 5.61575i 0.134608 + 0.294750i
\(364\) 0.0675503 + 0.0694984i 0.00354060 + 0.00364271i
\(365\) −9.15135 + 5.88122i −0.479004 + 0.307837i
\(366\) −0.970567 2.80427i −0.0507324 0.146582i
\(367\) 15.6909 + 27.1774i 0.819057 + 1.41865i 0.906378 + 0.422468i \(0.138836\pi\)
−0.0873213 + 0.996180i \(0.527831\pi\)
\(368\) 7.70410 + 17.4349i 0.401604 + 0.908857i
\(369\) −4.46343 + 7.73090i −0.232357 + 0.402454i
\(370\) 3.61580 4.17286i 0.187977 0.216937i
\(371\) −10.4735 + 26.9064i −0.543760 + 1.39691i
\(372\) 0.0195902 + 0.136253i 0.00101570 + 0.00706438i
\(373\) 6.91076 + 0.659898i 0.357826 + 0.0341682i 0.272421 0.962178i \(-0.412176\pi\)
0.0854047 + 0.996346i \(0.472782\pi\)
\(374\) 18.3336 7.33966i 0.948007 0.379525i
\(375\) 15.5936 + 14.8684i 0.805248 + 0.767803i
\(376\) 6.06530 3.12688i 0.312794 0.161257i
\(377\) −6.87970 + 15.0644i −0.354322 + 0.775858i
\(378\) −2.84208 2.41537i −0.146181 0.124233i
\(379\) 7.64245 + 8.81986i 0.392566 + 0.453046i 0.917286 0.398230i \(-0.130375\pi\)
−0.524720 + 0.851275i \(0.675830\pi\)
\(380\) 0.279630 0.0538943i 0.0143447 0.00276472i
\(381\) 2.75949 + 11.3748i 0.141373 + 0.582748i
\(382\) 5.25059 0.501370i 0.268644 0.0256523i
\(383\) −5.46999 + 2.81997i −0.279503 + 0.144094i −0.592279 0.805733i \(-0.701772\pi\)
0.312775 + 0.949827i \(0.398741\pi\)
\(384\) 10.7513 3.15686i 0.548648 0.161098i
\(385\) −22.8499 0.869032i −1.16454 0.0442900i
\(386\) 10.4595 + 22.9031i 0.532374 + 1.16574i
\(387\) −2.83728 1.13588i −0.144227 0.0577399i
\(388\) −0.00456615 0.00235401i −0.000231811 0.000119507i
\(389\) 4.91167 + 0.946647i 0.249032 + 0.0479969i 0.312239 0.950003i \(-0.398921\pi\)
−0.0632076 + 0.998000i \(0.520133\pi\)
\(390\) −8.02798 + 13.9049i −0.406512 + 0.704100i
\(391\) −15.6154 + 26.2931i −0.789702 + 1.32970i
\(392\) 19.4266 4.13193i 0.981190 0.208694i
\(393\) 7.31875 8.44629i 0.369182 0.426059i
\(394\) 1.26386 + 26.5316i 0.0636721 + 1.33664i
\(395\) −16.7146 + 13.1445i −0.841000 + 0.661370i
\(396\) 0.0161241 0.0226432i 0.000810267 0.00113786i
\(397\) −27.8171 21.8756i −1.39610 1.09791i −0.982253 0.187561i \(-0.939942\pi\)
−0.413849 0.910346i \(-0.635816\pi\)
\(398\) −32.9788 + 9.68344i −1.65308 + 0.485387i
\(399\) 6.80652 13.5194i 0.340752 0.676819i
\(400\) −17.2980 + 37.8774i −0.864901 + 1.89387i
\(401\) −16.8049 + 16.0235i −0.839198 + 0.800173i −0.981862 0.189598i \(-0.939282\pi\)
0.142664 + 0.989771i \(0.454433\pi\)
\(402\) 6.22739 17.9929i 0.310594 0.897403i
\(403\) 10.3012 29.7635i 0.513141 1.48262i
\(404\) −0.0962977 + 0.0918196i −0.00479099 + 0.00456820i
\(405\) −1.63427 + 3.57854i −0.0812073 + 0.177819i
\(406\) 11.7067 + 17.8376i 0.580992 + 0.885267i
\(407\) 2.09860 0.616205i 0.104024 0.0305441i
\(408\) 14.2213 + 11.1837i 0.704058 + 0.553677i
\(409\) 3.76793 5.29132i 0.186312 0.261639i −0.710847 0.703347i \(-0.751688\pi\)
0.897159 + 0.441708i \(0.145627\pi\)
\(410\) 38.9160 30.6039i 1.92192 1.51142i
\(411\) 0.223552 + 4.69293i 0.0110270 + 0.231485i
\(412\) −0.0145373 + 0.0167769i −0.000716201 + 0.000826540i
\(413\) −10.5677 + 7.67893i −0.520001 + 0.377855i
\(414\) −0.238474 6.75663i −0.0117203 0.332070i
\(415\) −13.2422 + 22.9362i −0.650034 + 1.12589i
\(416\) 0.203471 + 0.0392159i 0.00997600 + 0.00192272i
\(417\) −0.684096 0.352676i −0.0335003 0.0172706i
\(418\) −16.4488 6.58510i −0.804536 0.322088i
\(419\) −7.61652 16.6779i −0.372092 0.814767i −0.999353 0.0359583i \(-0.988552\pi\)
0.627262 0.778809i \(-0.284176\pi\)
\(420\) −0.0614677 0.116476i −0.00299932 0.00568343i
\(421\) −0.665335 + 0.195360i −0.0324264 + 0.00952126i −0.297906 0.954595i \(-0.596288\pi\)
0.265479 + 0.964117i \(0.414470\pi\)
\(422\) 5.93690 3.06069i 0.289004 0.148992i
\(423\) −2.39417 + 0.228615i −0.116408 + 0.0111156i
\(424\) 7.29988 + 30.0905i 0.354514 + 1.46133i
\(425\) −65.5977 + 12.6429i −3.18196 + 0.613272i
\(426\) −10.0364 11.5826i −0.486264 0.561179i
\(427\) −4.24376 3.60660i −0.205370 0.174535i
\(428\) 0.0337102 0.0738150i 0.00162944 0.00356798i
\(429\) −5.65314 + 2.91440i −0.272936 + 0.140708i
\(430\) 12.2670 + 11.6966i 0.591568 + 0.564059i
\(431\) 4.56365 1.82701i 0.219823 0.0880039i −0.259137 0.965841i \(-0.583438\pi\)
0.478960 + 0.877837i \(0.341014\pi\)
\(432\) −3.95654 0.377803i −0.190359 0.0181771i
\(433\) −2.22675 15.4874i −0.107011 0.744275i −0.970708 0.240264i \(-0.922766\pi\)
0.863697 0.504011i \(-0.168143\pi\)
\(434\) −25.3875 31.6537i −1.21864 1.51942i
\(435\) 14.7373 17.0077i 0.706599 0.815459i
\(436\) −0.00471213 + 0.00816165i −0.000225670 + 0.000390872i
\(437\) 26.4185 7.40490i 1.26377 0.354224i
\(438\) 1.94906 + 3.37587i 0.0931296 + 0.161305i
\(439\) −5.18908 14.9928i −0.247661 0.715570i −0.998483 0.0550647i \(-0.982463\pi\)
0.750822 0.660505i \(-0.229658\pi\)
\(440\) −20.6292 + 13.2576i −0.983459 + 0.632031i
\(441\) −6.89763 1.19274i −0.328459 0.0567973i
\(442\) −10.8108 23.6724i −0.514218 1.12598i
\(443\) −14.3252 11.2655i −0.680612 0.535240i 0.216919 0.976190i \(-0.430399\pi\)
−0.897532 + 0.440950i \(0.854642\pi\)
\(444\) 0.00911703 + 0.00869307i 0.000432675 + 0.000412555i
\(445\) 0.0563968 1.18391i 0.00267346 0.0561229i
\(446\) 10.0215 + 14.0732i 0.474532 + 0.666387i
\(447\) −6.76154 1.98537i −0.319810 0.0939046i
\(448\) 14.5490 15.5544i 0.687377 0.734878i
\(449\) 4.36693 + 5.03971i 0.206088 + 0.237838i 0.849379 0.527784i \(-0.176977\pi\)
−0.643291 + 0.765622i \(0.722431\pi\)
\(450\) 10.6892 10.1921i 0.503892 0.480460i
\(451\) 19.5226 1.86418i 0.919283 0.0877809i
\(452\) −0.00649275 + 0.136300i −0.000305394 + 0.00641100i
\(453\) −0.0887518 + 0.365840i −0.00416992 + 0.0171887i
\(454\) 2.26286 15.7385i 0.106201 0.738647i
\(455\) 0.288857 + 30.1320i 0.0135418 + 1.41261i
\(456\) −2.31006 16.0668i −0.108178 0.752398i
\(457\) −1.03692 21.7675i −0.0485048 1.01824i −0.883631 0.468184i \(-0.844909\pi\)
0.835126 0.550058i \(-0.185395\pi\)
\(458\) −11.2527 2.16879i −0.525806 0.101341i
\(459\) −3.18824 5.52219i −0.148814 0.257754i
\(460\) 0.0808530 0.224618i 0.00376979 0.0104728i
\(461\) −0.639072 −0.0297646 −0.0148823 0.999889i \(-0.504737\pi\)
−0.0148823 + 0.999889i \(0.504737\pi\)
\(462\) −0.700661 + 8.16398i −0.0325977 + 0.379823i
\(463\) 22.3309 14.3512i 1.03781 0.666957i 0.0933627 0.995632i \(-0.470238\pi\)
0.944443 + 0.328675i \(0.106602\pi\)
\(464\) 21.1074 + 8.45012i 0.979886 + 0.392287i
\(465\) −24.8258 + 34.8630i −1.15127 + 1.61673i
\(466\) −27.5952 + 11.0474i −1.27832 + 0.511763i
\(467\) 6.34050 26.1359i 0.293403 1.20943i −0.614048 0.789269i \(-0.710460\pi\)
0.907452 0.420157i \(-0.138025\pi\)
\(468\) −0.0308164 0.0198045i −0.00142449 0.000915463i
\(469\) −7.09873 35.0217i −0.327789 1.61715i
\(470\) 12.7981 + 3.75785i 0.590331 + 0.173337i
\(471\) −3.61636 + 0.696997i −0.166633 + 0.0321159i
\(472\) −4.58181 + 13.2383i −0.210895 + 0.609341i
\(473\) 1.58292 + 6.52490i 0.0727829 + 0.300015i
\(474\) 4.41987 + 6.20684i 0.203012 + 0.285090i
\(475\) 50.4223 + 32.4044i 2.31353 + 1.48682i
\(476\) 0.211573 + 0.0283523i 0.00969744 + 0.00129953i
\(477\) 1.55307 10.8019i 0.0711104 0.494584i
\(478\) −36.1233 3.44936i −1.65224 0.157770i
\(479\) 13.8918 10.9246i 0.634731 0.499158i −0.248171 0.968716i \(-0.579829\pi\)
0.882901 + 0.469559i \(0.155587\pi\)
\(480\) −0.250280 0.129028i −0.0114237 0.00588931i
\(481\) −0.942704 2.72376i −0.0429836 0.124193i
\(482\) 8.02752 0.365644
\(483\) −6.83076 10.6930i −0.310810 0.486549i
\(484\) 0.0781156 0.00355071
\(485\) −0.522410 1.50940i −0.0237214 0.0685385i
\(486\) 1.25302 + 0.645977i 0.0568382 + 0.0293021i
\(487\) −4.19371 + 3.29797i −0.190035 + 0.149445i −0.708644 0.705567i \(-0.750693\pi\)
0.518609 + 0.855012i \(0.326450\pi\)
\(488\) −5.94546 0.567723i −0.269138 0.0256996i
\(489\) 2.19705 15.2809i 0.0993543 0.691024i
\(490\) 33.0553 + 20.3587i 1.49329 + 0.919711i
\(491\) 21.6582 + 13.9188i 0.977419 + 0.628149i 0.928766 0.370667i \(-0.120871\pi\)
0.0486528 + 0.998816i \(0.484507\pi\)
\(492\) 0.0655188 + 0.0920082i 0.00295381 + 0.00414805i
\(493\) 8.59958 + 35.4479i 0.387305 + 1.59649i
\(494\) −7.63662 + 22.0646i −0.343588 + 0.992731i
\(495\) 8.48652 1.63564i 0.381441 0.0735167i
\(496\) −41.4878 12.1819i −1.86286 0.546984i
\(497\) −27.2704 9.14659i −1.22324 0.410281i
\(498\) 7.98387 + 5.13092i 0.357766 + 0.229922i
\(499\) −2.55121 + 10.5162i −0.114208 + 0.470771i 0.885770 + 0.464124i \(0.153631\pi\)
−0.999978 + 0.00664671i \(0.997884\pi\)
\(500\) 0.253094 0.101324i 0.0113187 0.00453133i
\(501\) −6.45253 + 9.06131i −0.288278 + 0.404829i
\(502\) 2.31110 + 0.925224i 0.103149 + 0.0412948i
\(503\) −3.33099 + 2.14070i −0.148521 + 0.0954489i −0.612791 0.790245i \(-0.709953\pi\)
0.464270 + 0.885694i \(0.346317\pi\)
\(504\) −6.79822 + 3.18375i −0.302817 + 0.141816i
\(505\) −41.3696 −1.84092
\(506\) −11.7874 + 9.03690i −0.524012 + 0.401739i
\(507\) −2.30929 3.99981i −0.102559 0.177638i
\(508\) 0.145424 + 0.0280283i 0.00645216 + 0.00124355i
\(509\) 1.47008 + 30.8607i 0.0651600 + 1.36788i 0.760566 + 0.649261i \(0.224922\pi\)
−0.695406 + 0.718617i \(0.744775\pi\)
\(510\) 5.03278 + 35.0038i 0.222855 + 1.54999i
\(511\) 6.37052 + 3.59704i 0.281815 + 0.159124i
\(512\) 3.25024 22.6059i 0.143642 0.999051i
\(513\) −1.34876 + 5.55968i −0.0595493 + 0.245466i
\(514\) 1.29394 27.1631i 0.0570733 1.19812i
\(515\) −6.87082 + 0.656083i −0.302764 + 0.0289105i
\(516\) −0.0279871 + 0.0266856i −0.00123206 + 0.00117477i
\(517\) 3.46006 + 3.99312i 0.152173 + 0.175617i
\(518\) −3.61689 0.840820i −0.158917 0.0369435i
\(519\) 6.04688 + 1.77552i 0.265428 + 0.0779368i
\(520\) 18.7446 + 26.3231i 0.822004 + 1.15434i
\(521\) −0.608521 + 12.7744i −0.0266598 + 0.559658i 0.945540 + 0.325506i \(0.105534\pi\)
−0.972200 + 0.234152i \(0.924769\pi\)
\(522\) −5.83639 5.56498i −0.255452 0.243573i
\(523\) −14.5589 11.4492i −0.636615 0.500639i 0.246901 0.969041i \(-0.420588\pi\)
−0.883516 + 0.468401i \(0.844830\pi\)
\(524\) −0.0587444 0.128632i −0.00256626 0.00561932i
\(525\) 7.55403 26.6698i 0.329685 1.16397i
\(526\) 11.9136 7.65639i 0.519457 0.333835i
\(527\) −22.6888 65.5549i −0.988339 2.85562i
\(528\) 4.36582 + 7.56182i 0.189998 + 0.329086i
\(529\) 5.97149 22.2113i 0.259630 0.965708i
\(530\) −30.2614 + 52.4143i −1.31447 + 2.27673i
\(531\) 3.23327 3.73140i 0.140312 0.161929i
\(532\) −0.119827 0.149402i −0.00519516 0.00647742i
\(533\) −3.67797 25.5808i −0.159311 1.10803i
\(534\) −0.422803 0.0403728i −0.0182965 0.00174710i
\(535\) 23.4231 9.37718i 1.01267 0.405411i
\(536\) −27.7342 26.4445i −1.19794 1.14223i
\(537\) −17.6438 + 9.09599i −0.761384 + 0.392521i
\(538\) −6.77939 + 14.8448i −0.292280 + 0.640005i
\(539\) 6.65536 + 13.8635i 0.286667 + 0.597144i
\(540\) 0.0325976 + 0.0376196i 0.00140278 + 0.00161889i
\(541\) 21.3390 4.11276i 0.917435 0.176821i 0.291387 0.956605i \(-0.405883\pi\)
0.626049 + 0.779784i \(0.284671\pi\)
\(542\) 8.03348 + 33.1144i 0.345067 + 1.42239i
\(543\) −11.3897 + 1.08759i −0.488780 + 0.0466728i
\(544\) 0.405664 0.209134i 0.0173927 0.00896656i
\(545\) −2.81147 + 0.825522i −0.120430 + 0.0353615i
\(546\) 10.7902 + 0.410376i 0.461779 + 0.0175625i
\(547\) −1.50001 3.28456i −0.0641358 0.140438i 0.874850 0.484394i \(-0.160960\pi\)
−0.938986 + 0.343956i \(0.888233\pi\)
\(548\) 0.0551889 + 0.0220943i 0.00235755 + 0.000943822i
\(549\) 1.87099 + 0.964564i 0.0798521 + 0.0411666i
\(550\) −31.8606 6.14063i −1.35854 0.261838i
\(551\) 16.3631 28.3417i 0.697092 1.20740i
\(552\) −12.5693 5.21254i −0.534983 0.221860i
\(553\) 13.0645 + 5.81568i 0.555561 + 0.247308i
\(554\) −2.44468 + 2.82131i −0.103865 + 0.119866i
\(555\) 0.186363 + 3.91225i 0.00791069 + 0.166066i
\(556\) −0.00765497 + 0.00601993i −0.000324643 + 0.000255302i
\(557\) 15.0612 21.1505i 0.638164 0.896176i −0.361176 0.932498i \(-0.617625\pi\)
0.999340 + 0.0363214i \(0.0115640\pi\)
\(558\) 12.0554 + 9.48046i 0.510345 + 0.401340i
\(559\) 8.48952 2.49275i 0.359068 0.105432i
\(560\) 41.3014 2.36444i 1.74530 0.0999158i
\(561\) −5.81932 + 12.7425i −0.245692 + 0.537990i
\(562\) 4.03081 3.84337i 0.170030 0.162123i
\(563\) −3.39049 + 9.79619i −0.142892 + 0.412860i −0.993625 0.112739i \(-0.964038\pi\)
0.850732 + 0.525599i \(0.176159\pi\)
\(564\) −0.00995312 + 0.0287576i −0.000419102 + 0.00121092i
\(565\) −30.7051 + 29.2773i −1.29177 + 1.23170i
\(566\) 12.8628 28.1656i 0.540664 1.18389i
\(567\) 2.64143 0.151217i 0.110929 0.00635053i
\(568\) −29.5964 + 8.69028i −1.24184 + 0.364636i
\(569\) 3.74374 + 2.94411i 0.156946 + 0.123423i 0.693544 0.720415i \(-0.256048\pi\)
−0.536598 + 0.843838i \(0.680291\pi\)
\(570\) 18.4041 25.8450i 0.770864 1.08253i
\(571\) 3.78944 2.98005i 0.158583 0.124711i −0.535714 0.844399i \(-0.679958\pi\)
0.694298 + 0.719688i \(0.255715\pi\)
\(572\) 0.00382918 + 0.0803844i 0.000160106 + 0.00336104i
\(573\) −2.45014 + 2.82761i −0.102356 + 0.118125i
\(574\) −30.4178 13.5405i −1.26962 0.565168i
\(575\) 44.9397 22.4716i 1.87412 0.937132i
\(576\) −4.02498 + 6.97148i −0.167708 + 0.290478i
\(577\) −26.8059 5.16642i −1.11595 0.215081i −0.402246 0.915532i \(-0.631770\pi\)
−0.713701 + 0.700451i \(0.752982\pi\)
\(578\) −29.6458 15.2835i −1.23310 0.635708i
\(579\) −16.5810 6.63804i −0.689084 0.275868i
\(580\) −0.118290 0.259018i −0.00491171 0.0107551i
\(581\) 17.7986 + 0.676917i 0.738408 + 0.0280832i
\(582\) −0.549176 + 0.161253i −0.0227641 + 0.00668414i
\(583\) −21.3095 + 10.9858i −0.882549 + 0.454985i
\(584\) 7.81003 0.745767i 0.323181 0.0308601i
\(585\) −2.68514 11.0683i −0.111017 0.457618i
\(586\) −26.6912 + 5.14430i −1.10260 + 0.212509i
\(587\) −26.5227 30.6088i −1.09471 1.26336i −0.962249 0.272171i \(-0.912258\pi\)
−0.132458 0.991189i \(-0.542287\pi\)
\(588\) −0.0499839 + 0.0731199i −0.00206130 + 0.00301541i
\(589\) −25.8549 + 56.6142i −1.06533 + 2.33275i
\(590\) −24.3384 + 12.5473i −1.00200 + 0.516565i
\(591\) −13.6363 13.0022i −0.560924 0.534840i
\(592\) −3.67354 + 1.47066i −0.150982 + 0.0604439i
\(593\) 31.0207 + 2.96212i 1.27387 + 0.121640i 0.709986 0.704216i \(-0.248701\pi\)
0.563882 + 0.825855i \(0.309307\pi\)
\(594\) −0.440754 3.06551i −0.0180844 0.125780i
\(595\) 41.5253 + 51.7745i 1.70237 + 2.12255i
\(596\) −0.0583914 + 0.0673872i −0.00239180 + 0.00276029i
\(597\) 12.1906 21.1148i 0.498929 0.864170i
\(598\) 12.6344 + 14.9491i 0.516661 + 0.611316i
\(599\) −2.82495 4.89296i −0.115424 0.199921i 0.802525 0.596619i \(-0.203489\pi\)
−0.917949 + 0.396698i \(0.870156\pi\)
\(600\) −9.72237 28.0909i −0.396914 1.14681i
\(601\) −20.3109 + 13.0530i −0.828500 + 0.532445i −0.884801 0.465969i \(-0.845706\pi\)
0.0563010 + 0.998414i \(0.482069\pi\)
\(602\) 3.10649 10.9676i 0.126611 0.447005i
\(603\) 5.61066 + 12.2856i 0.228484 + 0.500309i
\(604\) 0.00374418 + 0.00294446i 0.000152349 + 0.000119808i
\(605\) 17.5777 + 16.7603i 0.714634 + 0.681402i
\(606\) −0.705374 + 14.8076i −0.0286539 + 0.601519i
\(607\) 6.24369 + 8.76804i 0.253424 + 0.355884i 0.921615 0.388106i \(-0.126871\pi\)
−0.668191 + 0.743990i \(0.732931\pi\)
\(608\) −0.392892 0.115364i −0.0159339 0.00467861i
\(609\) −14.7417 3.42701i −0.597365 0.138870i
\(610\) −7.64499 8.82279i −0.309537 0.357224i
\(611\) 5.03922 4.80488i 0.203865 0.194385i
\(612\) −0.0803167 + 0.00766931i −0.00324661 + 0.000310014i
\(613\) 0.136660 2.86884i 0.00551963 0.115871i −0.994426 0.105437i \(-0.966376\pi\)
0.999946 0.0104338i \(-0.00332125\pi\)
\(614\) 6.63396 27.3456i 0.267725 1.10358i
\(615\) −4.99793 + 34.7613i −0.201536 + 1.40171i
\(616\) 14.3606 + 8.10854i 0.578604 + 0.326702i
\(617\) 4.01074 + 27.8953i 0.161466 + 1.12302i 0.895872 + 0.444312i \(0.146552\pi\)
−0.734405 + 0.678711i \(0.762539\pi\)
\(618\) 0.117684 + 2.47049i 0.00473395 + 0.0993778i
\(619\) −17.8601 3.44226i −0.717859 0.138356i −0.182775 0.983155i \(-0.558508\pi\)
−0.535084 + 0.844799i \(0.679720\pi\)
\(620\) 0.270769 + 0.468986i 0.0108743 + 0.0188349i
\(621\) 3.42987 + 3.35201i 0.137636 + 0.134512i
\(622\) −30.8820 −1.23826
\(623\) −0.721874 + 0.338069i −0.0289213 + 0.0135444i
\(624\) 9.67992 6.22091i 0.387507 0.249036i
\(625\) 30.0598 + 12.0341i 1.20239 + 0.481365i
\(626\) 17.5410 24.6329i 0.701081 0.984531i
\(627\) 11.6680 4.67117i 0.465976 0.186548i
\(628\) −0.0109864 + 0.0452866i −0.000438406 + 0.00180713i
\(629\) −5.34055 3.43216i −0.212942 0.136849i
\(630\) −13.9116 4.66601i −0.554251 0.185898i
\(631\) 7.27395 + 2.13583i 0.289572 + 0.0850259i 0.423292 0.905993i \(-0.360874\pi\)
−0.133721 + 0.991019i \(0.542693\pi\)
\(632\) 15.0587 2.90233i 0.599004 0.115449i
\(633\) −1.54967 + 4.47748i −0.0615939 + 0.177964i
\(634\) 8.60575 + 35.4734i 0.341778 + 1.40883i
\(635\) 26.7099 + 37.5088i 1.05995 + 1.48849i
\(636\) −0.116162 0.0746529i −0.00460613 0.00296018i
\(637\) 17.8313 9.62979i 0.706503 0.381546i
\(638\) −2.52130 + 17.5360i −0.0998193 + 0.694258i
\(639\) 10.8223 + 1.03341i 0.428124 + 0.0408809i
\(640\) 34.6506 27.2495i 1.36968 1.07713i
\(641\) 7.03149 + 3.62498i 0.277727 + 0.143178i 0.591463 0.806332i \(-0.298550\pi\)
−0.313736 + 0.949510i \(0.601581\pi\)
\(642\) −2.95705 8.54382i −0.116705 0.337198i
\(643\) 26.0263 1.02638 0.513188 0.858276i \(-0.328464\pi\)
0.513188 + 0.858276i \(0.328464\pi\)
\(644\) −0.158977 + 0.0224141i −0.00626458 + 0.000883238i
\(645\) −12.0233 −0.473416
\(646\) 16.8199 + 48.5979i 0.661769 + 1.91206i
\(647\) 12.7268 + 6.56110i 0.500341 + 0.257944i 0.689872 0.723931i \(-0.257667\pi\)
−0.189532 + 0.981875i \(0.560697\pi\)
\(648\) 2.23027 1.75390i 0.0876133 0.0688999i
\(649\) −10.7977 1.03106i −0.423847 0.0404725i
\(650\) −6.08519 + 42.3234i −0.238681 + 1.66006i
\(651\) 28.5283 + 3.82300i 1.11811 + 0.149835i
\(652\) −0.164329 0.105608i −0.00643561 0.00413592i
\(653\) 6.39616 + 8.98214i 0.250301 + 0.351498i 0.920541 0.390646i \(-0.127748\pi\)
−0.670240 + 0.742144i \(0.733809\pi\)
\(654\) 0.247546 + 1.02040i 0.00967983 + 0.0399008i
\(655\) 14.3803 41.5490i 0.561883 1.62345i
\(656\) −34.8390 + 6.71466i −1.36023 + 0.262163i
\(657\) −2.65314 0.779031i −0.103509 0.0303929i
\(658\) −1.78201 8.79160i −0.0694701 0.342732i
\(659\) −18.1836 11.6859i −0.708333 0.455218i 0.136228 0.990678i \(-0.456502\pi\)
−0.844561 + 0.535459i \(0.820139\pi\)
\(660\) 0.0257818 0.106274i 0.00100356 0.00413672i
\(661\) 5.32304 2.13103i 0.207042 0.0828873i −0.265823 0.964022i \(-0.585644\pi\)
0.472866 + 0.881134i \(0.343220\pi\)
\(662\) −19.1469 + 26.8881i −0.744166 + 1.04503i
\(663\) 17.1380 + 6.86101i 0.665584 + 0.266460i
\(664\) 16.0688 10.3268i 0.623589 0.400756i
\(665\) 5.09178 59.3285i 0.197451 2.30066i
\(666\) 1.40351 0.0543849
\(667\) −13.4234 23.9259i −0.519755 0.926414i
\(668\) 0.0703761 + 0.121895i 0.00272293 + 0.00471626i
\(669\) −12.0339 2.31934i −0.465256 0.0896708i
\(670\) −3.56411 74.8198i −0.137693 2.89054i
\(671\) −0.658128 4.57738i −0.0254068 0.176708i
\(672\) 0.00181530 + 0.189362i 7.00266e−5 + 0.00730481i
\(673\) −0.638096 + 4.43806i −0.0245968 + 0.171075i −0.998417 0.0562452i \(-0.982087\pi\)
0.973820 + 0.227320i \(0.0729962\pi\)
\(674\) −1.41262 + 5.82290i −0.0544121 + 0.224290i
\(675\) −0.498506 + 10.4649i −0.0191875 + 0.402795i
\(676\) −0.0581746 + 0.00555500i −0.00223748 + 0.000213654i
\(677\) 23.4469 22.3566i 0.901137 0.859232i −0.0894677 0.995990i \(-0.528517\pi\)
0.990605 + 0.136757i \(0.0436681\pi\)
\(678\) 9.95582 + 11.4896i 0.382351 + 0.441256i
\(679\) −0.733791 + 0.784500i −0.0281603 + 0.0301063i
\(680\) 68.2918 + 20.0523i 2.61887 + 0.768970i
\(681\) 6.54247 + 9.18761i 0.250708 + 0.352070i
\(682\) 1.60317 33.6548i 0.0613887 1.28871i
\(683\) −34.2989 32.7040i −1.31241 1.25138i −0.947272 0.320431i \(-0.896172\pi\)
−0.365141 0.930952i \(-0.618979\pi\)
\(684\) 0.0569004 + 0.0447470i 0.00217564 + 0.00171094i
\(685\) 7.67818 + 16.8129i 0.293368 + 0.642387i
\(686\) 1.73342 26.0510i 0.0661823 0.994632i
\(687\) 6.83862 4.39492i 0.260910 0.167677i
\(688\) −3.97289 11.4789i −0.151465 0.437630i
\(689\) 15.7969 + 27.3610i 0.601813 + 1.04237i
\(690\) −10.7501 24.3282i −0.409250 0.926160i
\(691\) −2.98464 + 5.16955i −0.113541 + 0.196659i −0.917196 0.398437i \(-0.869553\pi\)
0.803655 + 0.595096i \(0.202886\pi\)
\(692\) 0.0522197 0.0602647i 0.00198509 0.00229092i
\(693\) −3.63664 4.53423i −0.138145 0.172241i
\(694\) 2.07492 + 14.4314i 0.0787630 + 0.547809i
\(695\) −3.01415 0.287817i −0.114333 0.0109175i
\(696\) −15.0679 + 6.03230i −0.571149 + 0.228654i
\(697\) −41.1964 39.2807i −1.56042 1.48786i
\(698\) −18.7928 + 9.68836i −0.711317 + 0.366710i
\(699\) 8.75907 19.1797i 0.331299 0.725443i
\(700\) −0.267254 0.227128i −0.0101012 0.00858463i
\(701\) 11.5442 + 13.3228i 0.436020 + 0.503194i 0.930650 0.365909i \(-0.119242\pi\)
−0.494630 + 0.869103i \(0.664697\pi\)
\(702\) −4.00752 + 0.772386i −0.151254 + 0.0291518i
\(703\) 1.34281 + 5.53513i 0.0506450 + 0.208761i
\(704\) 17.6049 1.68106i 0.663508 0.0633574i
\(705\) −8.40983 + 4.33557i −0.316732 + 0.163287i
\(706\) −44.1418 + 12.9612i −1.66130 + 0.487802i
\(707\) 12.9853 + 24.6059i 0.488362 + 0.925401i
\(708\) −0.0259520 0.0568270i −0.000975338 0.00213569i
\(709\) −29.5797 11.8419i −1.11089 0.444733i −0.257643 0.966240i \(-0.582946\pi\)
−0.853247 + 0.521507i \(0.825370\pi\)
\(710\) −53.5907 27.6279i −2.01122 1.03686i
\(711\) −5.30741 1.02292i −0.199043 0.0383625i
\(712\) −0.427413 + 0.740301i −0.0160180 + 0.0277439i
\(713\) 29.7382 + 42.8695i 1.11370 + 1.60548i
\(714\) 19.2399 13.9806i 0.720036 0.523210i
\(715\) −16.3854 + 18.9098i −0.612780 + 0.707186i
\(716\) 0.0119511 + 0.250884i 0.000446633 + 0.00937598i
\(717\) 20.2336 15.9119i 0.755638 0.594241i
\(718\) 16.5087 23.1833i 0.616101 0.865193i
\(719\) −21.7251 17.0848i −0.810209 0.637155i 0.124640 0.992202i \(-0.460222\pi\)
−0.934848 + 0.355047i \(0.884465\pi\)
\(720\) −15.0027 + 4.40518i −0.559116 + 0.164171i
\(721\) 2.54687 + 3.88071i 0.0948505 + 0.144525i
\(722\) 8.04013 17.6054i 0.299222 0.655206i
\(723\) −4.12120 + 3.92955i −0.153269 + 0.146142i
\(724\) −0.0473498 + 0.136808i −0.00175974 + 0.00508444i
\(725\) 19.6017 56.6355i 0.727990 2.10339i
\(726\) 6.29880 6.00589i 0.233770 0.222900i
\(727\) 2.60966 5.71435i 0.0967868 0.211934i −0.855045 0.518553i \(-0.826471\pi\)
0.951832 + 0.306620i \(0.0991980\pi\)
\(728\) 9.77287 19.4114i 0.362207 0.719433i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) 12.0544 + 9.47972i 0.446155 + 0.350860i
\(731\) 11.3040 15.8743i 0.418095 0.587132i
\(732\) 0.0209362 0.0164644i 0.000773826 0.000608543i
\(733\) −1.15166 24.1763i −0.0425374 0.892970i −0.914794 0.403921i \(-0.867647\pi\)
0.872256 0.489049i \(-0.162656\pi\)
\(734\) 28.9710 33.4343i 1.06934 1.23408i
\(735\) −26.9358 + 5.72911i −0.993544 + 0.211322i
\(736\) −0.251331 + 0.233801i −0.00926419 + 0.00861801i
\(737\) 14.8358 25.6964i 0.546484 0.946538i
\(738\) 12.3571 + 2.38163i 0.454871 + 0.0876691i
\(739\) −24.1418 12.4460i −0.888071 0.457833i −0.0470861 0.998891i \(-0.514994\pi\)
−0.840985 + 0.541058i \(0.818024\pi\)
\(740\) 0.0460082 + 0.0184189i 0.00169129 + 0.000677092i
\(741\) −6.88032 15.0658i −0.252755 0.553456i
\(742\) 40.6737 + 1.54691i 1.49318 + 0.0567888i
\(743\) 4.25343 1.24892i 0.156043 0.0458184i −0.202778 0.979225i \(-0.564997\pi\)
0.358821 + 0.933406i \(0.383179\pi\)
\(744\) 27.4359 14.1442i 1.00585 0.518552i
\(745\) −27.5977 + 2.63526i −1.01110 + 0.0965485i
\(746\) −2.30729 9.51077i −0.0844758 0.348214i
\(747\) −6.61043 + 1.27406i −0.241863 + 0.0466152i
\(748\) 0.116074 + 0.133957i 0.00424409 + 0.00489794i
\(749\) −12.9295 10.9883i −0.472435 0.401503i
\(750\) 12.6179 27.6292i 0.460739 1.00888i
\(751\) −14.5243 + 7.48781i −0.530000 + 0.273234i −0.702387 0.711795i \(-0.747882\pi\)
0.172387 + 0.985029i \(0.444852\pi\)
\(752\) −6.91816 6.59645i −0.252279 0.240548i
\(753\) −1.63939 + 0.656312i −0.0597426 + 0.0239173i
\(754\) 23.2409 + 2.21924i 0.846384 + 0.0808198i
\(755\) 0.210766 + 1.46591i 0.00767055 + 0.0533498i
\(756\) 0.0121436 0.0311967i 0.000441659 0.00113461i
\(757\) −8.88032 + 10.2484i −0.322761 + 0.372486i −0.893822 0.448422i \(-0.851986\pi\)
0.571062 + 0.820907i \(0.306532\pi\)
\(758\) 8.22603 14.2479i 0.298783 0.517507i
\(759\) 1.62778 10.4094i 0.0590848 0.377839i
\(760\) −31.9289 55.3024i −1.15818 2.00603i
\(761\) −0.650474 1.87942i −0.0235797 0.0681289i 0.932597 0.360920i \(-0.117537\pi\)
−0.956176 + 0.292791i \(0.905416\pi\)
\(762\) 13.8811 8.92087i 0.502861 0.323169i
\(763\) 1.37348 + 1.41310i 0.0497235 + 0.0511575i
\(764\) 0.0196662 + 0.0430630i 0.000711498 + 0.00155796i
\(765\) −19.7185 15.5068i −0.712922 0.560648i
\(766\) 6.27886 + 5.98688i 0.226864 + 0.216315i
\(767\) −0.680134 + 14.2778i −0.0245582 + 0.515540i
\(768\) 0.176141 + 0.247355i 0.00635594 + 0.00892567i
\(769\) 11.1322 + 3.26871i 0.401438 + 0.117873i 0.476218 0.879327i \(-0.342007\pi\)
−0.0747802 + 0.997200i \(0.523826\pi\)
\(770\) 9.37789 + 30.8414i 0.337956 + 1.11145i
\(771\) 12.6324 + 14.5785i 0.454943 + 0.525032i
\(772\) −0.163556 + 0.155950i −0.00588651 + 0.00561277i