Properties

Label 483.2.y.b.163.9
Level $483$
Weight $2$
Character 483.163
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 163.9
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.b.403.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.189594 - 0.0977427i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(-1.13372 + 1.59209i) q^{4} +(2.30911 - 2.20173i) q^{5} +(-0.0886107 + 0.194030i) q^{6} +(2.00840 - 1.72231i) q^{7} +(-0.120045 + 0.834935i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(0.189594 - 0.0977427i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(-1.13372 + 1.59209i) q^{4} +(2.30911 - 2.20173i) q^{5} +(-0.0886107 + 0.194030i) q^{6} +(2.00840 - 1.72231i) q^{7} +(-0.120045 + 0.834935i) q^{8} +(0.235759 - 0.971812i) q^{9} +(0.222591 - 0.643134i) q^{10} +(-1.11039 - 0.572444i) q^{11} +(-0.0929989 - 1.95229i) q^{12} +(-1.60717 - 1.85477i) q^{13} +(0.212438 - 0.522846i) q^{14} +(-0.454063 + 3.15807i) q^{15} +(-1.21966 - 3.52398i) q^{16} +(5.71037 - 0.545274i) q^{17} +(-0.0502889 - 0.207294i) q^{18} +(-0.160437 - 0.0153199i) q^{19} +(0.887465 + 6.17246i) q^{20} +(-0.514048 + 2.59533i) q^{21} -0.266475 q^{22} +(3.65661 + 3.10310i) q^{23} +(-0.421760 - 0.730510i) q^{24} +(0.246456 - 5.17374i) q^{25} +(-0.486000 - 0.194565i) q^{26} +(0.415415 + 0.909632i) q^{27} +(0.465101 + 5.15016i) q^{28} +(0.470414 - 1.03006i) q^{29} +(0.222591 + 0.643134i) q^{30} +(8.66104 - 3.46736i) q^{31} +(-1.79665 - 1.71310i) q^{32} +(1.22668 - 0.236424i) q^{33} +(1.02936 - 0.661528i) q^{34} +(0.845555 - 8.39895i) q^{35} +(1.27993 + 1.47711i) q^{36} +(0.170041 - 0.700919i) q^{37} +(-0.0319154 + 0.0127770i) q^{38} +(2.40986 + 0.464462i) q^{39} +(1.56110 + 2.19226i) q^{40} +(4.70839 + 1.38251i) q^{41} +(0.156214 + 0.542305i) q^{42} +(1.06050 + 7.37596i) q^{43} +(2.17025 - 1.11884i) q^{44} +(-1.59527 - 2.76310i) q^{45} +(0.996577 + 0.230924i) q^{46} +(-2.15646 + 3.73510i) q^{47} +(3.13710 + 2.01609i) q^{48} +(1.06732 - 6.91815i) q^{49} +(-0.458969 - 1.00500i) q^{50} +(-4.15159 + 3.95853i) q^{51} +(4.77503 - 0.455960i) q^{52} +(-6.54510 - 1.26147i) q^{53} +(0.167670 + 0.131857i) q^{54} +(-3.82437 + 1.12294i) q^{55} +(1.19691 + 1.88364i) q^{56} +(0.135582 - 0.0871334i) q^{57} +(-0.0114933 - 0.241274i) q^{58} +(-4.38077 + 12.6574i) q^{59} +(-4.51315 - 4.30328i) q^{60} +(-8.92493 - 7.01864i) q^{61} +(1.30318 - 1.50394i) q^{62} +(-1.20026 - 2.35783i) q^{63} +(6.64796 + 1.95202i) q^{64} +(-7.79482 - 0.744315i) q^{65} +(0.209464 - 0.164724i) q^{66} +(0.440449 - 9.24616i) q^{67} +(-5.60585 + 9.70961i) q^{68} +(-4.79250 - 0.178836i) q^{69} +(-0.660623 - 1.67504i) q^{70} +(-5.45600 - 3.50636i) q^{71} +(0.783097 + 0.313505i) q^{72} +(-0.567226 + 0.796558i) q^{73} +(-0.0362709 - 0.149511i) q^{74} +(3.00447 + 4.21918i) q^{75} +(0.206282 - 0.238062i) q^{76} +(-3.21602 + 0.762730i) q^{77} +(0.502293 - 0.147487i) q^{78} +(3.35082 - 0.645818i) q^{79} +(-10.5752 - 5.45188i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(1.02781 - 0.198095i) q^{82} +(-12.4750 + 3.66298i) q^{83} +(-3.54921 - 3.76080i) q^{84} +(11.9853 - 13.8318i) q^{85} +(0.922012 + 1.29478i) q^{86} +(0.266972 + 1.10048i) q^{87} +(0.611250 - 0.858381i) q^{88} +(2.61427 + 1.04660i) q^{89} +(-0.572528 - 0.367941i) q^{90} +(-6.42231 - 0.957081i) q^{91} +(-9.08598 + 2.30359i) q^{92} +(-4.66466 + 8.07943i) q^{93} +(-0.0437742 + 0.918933i) q^{94} +(-0.404197 + 0.317864i) q^{95} +(2.47124 + 0.235974i) q^{96} +(-8.44425 - 2.47946i) q^{97} +(-0.473840 - 1.41597i) q^{98} +(-0.818091 + 0.944127i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.189594 0.0977427i 0.134063 0.0691145i −0.389890 0.920861i \(-0.627487\pi\)
0.523953 + 0.851747i \(0.324457\pi\)
\(3\) −0.786053 + 0.618159i −0.453828 + 0.356894i
\(4\) −1.13372 + 1.59209i −0.566861 + 0.796044i
\(5\) 2.30911 2.20173i 1.03267 0.984644i 0.0327749 0.999463i \(-0.489566\pi\)
0.999890 + 0.0148186i \(0.00471708\pi\)
\(6\) −0.0886107 + 0.194030i −0.0361752 + 0.0792126i
\(7\) 2.00840 1.72231i 0.759103 0.650971i
\(8\) −0.120045 + 0.834935i −0.0424425 + 0.295194i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) 0.222591 0.643134i 0.0703894 0.203377i
\(11\) −1.11039 0.572444i −0.334794 0.172598i 0.282630 0.959229i \(-0.408793\pi\)
−0.617424 + 0.786631i \(0.711824\pi\)
\(12\) −0.0929989 1.95229i −0.0268465 0.563577i
\(13\) −1.60717 1.85477i −0.445748 0.514420i 0.487760 0.872978i \(-0.337814\pi\)
−0.933508 + 0.358558i \(0.883269\pi\)
\(14\) 0.212438 0.522846i 0.0567765 0.139736i
\(15\) −0.454063 + 3.15807i −0.117238 + 0.815411i
\(16\) −1.21966 3.52398i −0.304915 0.880994i
\(17\) 5.71037 0.545274i 1.38497 0.132248i 0.624196 0.781268i \(-0.285427\pi\)
0.760772 + 0.649019i \(0.224820\pi\)
\(18\) −0.0502889 0.207294i −0.0118532 0.0488596i
\(19\) −0.160437 0.0153199i −0.0368068 0.00351462i 0.0766364 0.997059i \(-0.475582\pi\)
−0.113443 + 0.993544i \(0.536188\pi\)
\(20\) 0.887465 + 6.17246i 0.198443 + 1.38020i
\(21\) −0.514048 + 2.59533i −0.112175 + 0.566348i
\(22\) −0.266475 −0.0568127
\(23\) 3.65661 + 3.10310i 0.762455 + 0.647041i
\(24\) −0.421760 0.730510i −0.0860914 0.149115i
\(25\) 0.246456 5.17374i 0.0492911 1.03475i
\(26\) −0.486000 0.194565i −0.0953123 0.0381573i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 0.465101 + 5.15016i 0.0878959 + 0.973289i
\(29\) 0.470414 1.03006i 0.0873537 0.191278i −0.860913 0.508752i \(-0.830107\pi\)
0.948267 + 0.317474i \(0.102834\pi\)
\(30\) 0.222591 + 0.643134i 0.0406394 + 0.117420i
\(31\) 8.66104 3.46736i 1.55557 0.622756i 0.574864 0.818249i \(-0.305055\pi\)
0.980705 + 0.195493i \(0.0626308\pi\)
\(32\) −1.79665 1.71310i −0.317606 0.302837i
\(33\) 1.22668 0.236424i 0.213538 0.0411561i
\(34\) 1.02936 0.661528i 0.176533 0.113451i
\(35\) 0.845555 8.39895i 0.142925 1.41968i
\(36\) 1.27993 + 1.47711i 0.213321 + 0.246185i
\(37\) 0.170041 0.700919i 0.0279546 0.115230i −0.956125 0.292959i \(-0.905360\pi\)
0.984079 + 0.177729i \(0.0568751\pi\)
\(38\) −0.0319154 + 0.0127770i −0.00517736 + 0.00207270i
\(39\) 2.40986 + 0.464462i 0.385886 + 0.0743735i
\(40\) 1.56110 + 2.19226i 0.246832 + 0.346627i
\(41\) 4.70839 + 1.38251i 0.735326 + 0.215911i 0.627892 0.778301i \(-0.283918\pi\)
0.107435 + 0.994212i \(0.465736\pi\)
\(42\) 0.156214 + 0.542305i 0.0241044 + 0.0836795i
\(43\) 1.06050 + 7.37596i 0.161725 + 1.12482i 0.895380 + 0.445302i \(0.146904\pi\)
−0.733655 + 0.679522i \(0.762187\pi\)
\(44\) 2.17025 1.11884i 0.327178 0.168672i
\(45\) −1.59527 2.76310i −0.237810 0.411898i
\(46\) 0.996577 + 0.230924i 0.146937 + 0.0340478i
\(47\) −2.15646 + 3.73510i −0.314552 + 0.544821i −0.979342 0.202210i \(-0.935188\pi\)
0.664790 + 0.747030i \(0.268521\pi\)
\(48\) 3.13710 + 2.01609i 0.452801 + 0.290997i
\(49\) 1.06732 6.91815i 0.152475 0.988307i
\(50\) −0.458969 1.00500i −0.0649080 0.142129i
\(51\) −4.15159 + 3.95853i −0.581339 + 0.554305i
\(52\) 4.77503 0.455960i 0.662178 0.0632303i
\(53\) −6.54510 1.26147i −0.899039 0.173276i −0.281264 0.959630i \(-0.590754\pi\)
−0.617775 + 0.786355i \(0.711966\pi\)
\(54\) 0.167670 + 0.131857i 0.0228170 + 0.0179435i
\(55\) −3.82437 + 1.12294i −0.515678 + 0.151417i
\(56\) 1.19691 + 1.88364i 0.159944 + 0.251711i
\(57\) 0.135582 0.0871334i 0.0179583 0.0115411i
\(58\) −0.0114933 0.241274i −0.00150914 0.0316808i
\(59\) −4.38077 + 12.6574i −0.570327 + 1.64785i 0.177623 + 0.984099i \(0.443159\pi\)
−0.747951 + 0.663754i \(0.768962\pi\)
\(60\) −4.51315 4.30328i −0.582646 0.555552i
\(61\) −8.92493 7.01864i −1.14272 0.898645i −0.146825 0.989162i \(-0.546905\pi\)
−0.995895 + 0.0905175i \(0.971148\pi\)
\(62\) 1.30318 1.50394i 0.165503 0.191001i
\(63\) −1.20026 2.35783i −0.151218 0.297059i
\(64\) 6.64796 + 1.95202i 0.830995 + 0.244002i
\(65\) −7.79482 0.744315i −0.966829 0.0923209i
\(66\) 0.209464 0.164724i 0.0257832 0.0202761i
\(67\) 0.440449 9.24616i 0.0538094 1.12960i −0.796951 0.604044i \(-0.793555\pi\)
0.850760 0.525554i \(-0.176142\pi\)
\(68\) −5.60585 + 9.70961i −0.679809 + 1.17746i
\(69\) −4.79250 0.178836i −0.576949 0.0215294i
\(70\) −0.660623 1.67504i −0.0789596 0.200205i
\(71\) −5.45600 3.50636i −0.647508 0.416128i 0.175247 0.984525i \(-0.443928\pi\)
−0.822755 + 0.568396i \(0.807564\pi\)
\(72\) 0.783097 + 0.313505i 0.0922889 + 0.0369469i
\(73\) −0.567226 + 0.796558i −0.0663888 + 0.0932300i −0.846435 0.532491i \(-0.821256\pi\)
0.780047 + 0.625721i \(0.215195\pi\)
\(74\) −0.0362709 0.149511i −0.00421640 0.0173803i
\(75\) 3.00447 + 4.21918i 0.346926 + 0.487189i
\(76\) 0.206282 0.238062i 0.0236621 0.0273075i
\(77\) −3.21602 + 0.762730i −0.366500 + 0.0869212i
\(78\) 0.502293 0.147487i 0.0568735 0.0166996i
\(79\) 3.35082 0.645818i 0.376997 0.0726602i 0.00276694 0.999996i \(-0.499119\pi\)
0.374230 + 0.927336i \(0.377907\pi\)
\(80\) −10.5752 5.45188i −1.18234 0.609539i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) 1.02781 0.198095i 0.113503 0.0218759i
\(83\) −12.4750 + 3.66298i −1.36931 + 0.402064i −0.882034 0.471186i \(-0.843826\pi\)
−0.487272 + 0.873250i \(0.662008\pi\)
\(84\) −3.54921 3.76080i −0.387251 0.410336i
\(85\) 11.9853 13.8318i 1.29999 1.50027i
\(86\) 0.922012 + 1.29478i 0.0994231 + 0.139620i
\(87\) 0.266972 + 1.10048i 0.0286224 + 0.117983i
\(88\) 0.611250 0.858381i 0.0651595 0.0915037i
\(89\) 2.61427 + 1.04660i 0.277112 + 0.110939i 0.506056 0.862501i \(-0.331103\pi\)
−0.228944 + 0.973440i \(0.573527\pi\)
\(90\) −0.572528 0.367941i −0.0603497 0.0387844i
\(91\) −6.42231 0.957081i −0.673241 0.100329i
\(92\) −9.08598 + 2.30359i −0.947279 + 0.240166i
\(93\) −4.66466 + 8.07943i −0.483703 + 0.837798i
\(94\) −0.0437742 + 0.918933i −0.00451496 + 0.0947807i
\(95\) −0.404197 + 0.317864i −0.0414697 + 0.0326122i
\(96\) 2.47124 + 0.235974i 0.252219 + 0.0240840i
\(97\) −8.44425 2.47946i −0.857384 0.251751i −0.176643 0.984275i \(-0.556524\pi\)
−0.680741 + 0.732524i \(0.738342\pi\)
\(98\) −0.473840 1.41597i −0.0478651 0.143034i
\(99\) −0.818091 + 0.944127i −0.0822212 + 0.0948884i
\(100\) 7.95764 + 6.25796i 0.795764 + 0.625796i
\(101\) 3.82493 + 3.64707i 0.380595 + 0.362897i 0.856094 0.516819i \(-0.172884\pi\)
−0.475499 + 0.879716i \(0.657733\pi\)
\(102\) −0.400200 + 1.15630i −0.0396257 + 0.114491i
\(103\) 0.580753 + 12.1915i 0.0572233 + 1.20126i 0.826720 + 0.562614i \(0.190204\pi\)
−0.769497 + 0.638651i \(0.779493\pi\)
\(104\) 1.74154 1.11922i 0.170772 0.109749i
\(105\) 4.52723 + 7.12470i 0.441813 + 0.695300i
\(106\) −1.36421 + 0.400569i −0.132504 + 0.0389067i
\(107\) −6.11570 4.80944i −0.591227 0.464946i 0.277166 0.960822i \(-0.410605\pi\)
−0.868394 + 0.495876i \(0.834847\pi\)
\(108\) −1.91918 0.369892i −0.184673 0.0355928i
\(109\) −3.92549 + 0.374838i −0.375993 + 0.0359030i −0.281342 0.959607i \(-0.590780\pi\)
−0.0946511 + 0.995511i \(0.530174\pi\)
\(110\) −0.615320 + 0.586707i −0.0586685 + 0.0559403i
\(111\) 0.299618 + 0.656072i 0.0284385 + 0.0622716i
\(112\) −8.51893 4.97692i −0.804963 0.470275i
\(113\) −4.62083 2.96963i −0.434691 0.279359i 0.304940 0.952372i \(-0.401364\pi\)
−0.739631 + 0.673013i \(0.765000\pi\)
\(114\) 0.0171890 0.0297722i 0.00160989 0.00278842i
\(115\) 15.2757 0.885470i 1.42447 0.0825705i
\(116\) 1.10663 + 1.91675i 0.102748 + 0.177965i
\(117\) −2.18139 + 1.12458i −0.201669 + 0.103968i
\(118\) 0.406599 + 2.82796i 0.0374305 + 0.260335i
\(119\) 10.5296 10.9301i 0.965244 1.00196i
\(120\) −2.58228 0.758225i −0.235729 0.0692162i
\(121\) −5.47536 7.68907i −0.497760 0.699006i
\(122\) −2.37814 0.458348i −0.215306 0.0414969i
\(123\) −4.55565 + 1.82381i −0.410769 + 0.164447i
\(124\) −4.29887 + 17.7202i −0.386050 + 1.59132i
\(125\) −0.375263 0.433076i −0.0335645 0.0387355i
\(126\) −0.458023 0.329715i −0.0408040 0.0293734i
\(127\) 13.9998 8.99712i 1.24228 0.798365i 0.256523 0.966538i \(-0.417423\pi\)
0.985758 + 0.168173i \(0.0537867\pi\)
\(128\) 6.32644 1.21932i 0.559184 0.107774i
\(129\) −5.39313 5.14234i −0.474839 0.452758i
\(130\) −1.55061 + 0.620769i −0.135997 + 0.0544450i
\(131\) 6.40837 + 18.5158i 0.559901 + 1.61773i 0.768586 + 0.639746i \(0.220961\pi\)
−0.208685 + 0.977983i \(0.566918\pi\)
\(132\) −1.01431 + 2.22103i −0.0882843 + 0.193316i
\(133\) −0.348607 + 0.245553i −0.0302281 + 0.0212922i
\(134\) −0.820238 1.79607i −0.0708578 0.155157i
\(135\) 2.96200 + 1.18581i 0.254929 + 0.102058i
\(136\) −0.230236 + 4.83324i −0.0197426 + 0.414447i
\(137\) 5.58758 + 9.67798i 0.477379 + 0.826845i 0.999664 0.0259259i \(-0.00825339\pi\)
−0.522284 + 0.852771i \(0.674920\pi\)
\(138\) −0.926110 + 0.434525i −0.0788357 + 0.0369892i
\(139\) −1.41500 −0.120018 −0.0600092 0.998198i \(-0.519113\pi\)
−0.0600092 + 0.998198i \(0.519113\pi\)
\(140\) 12.4132 + 10.8683i 1.04911 + 0.918536i
\(141\) −0.613793 4.26903i −0.0516907 0.359517i
\(142\) −1.37715 0.131502i −0.115568 0.0110354i
\(143\) 0.722824 + 2.97952i 0.0604456 + 0.249160i
\(144\) −3.71219 + 0.354471i −0.309349 + 0.0295392i
\(145\) −1.18169 3.41425i −0.0981336 0.283538i
\(146\) −0.0296852 + 0.206465i −0.00245676 + 0.0170872i
\(147\) 3.43755 + 6.09781i 0.283524 + 0.502939i
\(148\) 0.923147 + 1.06537i 0.0758822 + 0.0875727i
\(149\) 0.223025 + 4.68188i 0.0182709 + 0.383554i 0.989420 + 0.145080i \(0.0463441\pi\)
−0.971149 + 0.238474i \(0.923353\pi\)
\(150\) 0.982024 + 0.506269i 0.0801819 + 0.0413367i
\(151\) −4.29768 + 12.4173i −0.349740 + 1.01051i 0.623720 + 0.781648i \(0.285621\pi\)
−0.973460 + 0.228859i \(0.926501\pi\)
\(152\) 0.0320509 0.132115i 0.00259967 0.0107160i
\(153\) 0.816367 5.67796i 0.0659994 0.459036i
\(154\) −0.535188 + 0.458952i −0.0431267 + 0.0369834i
\(155\) 12.3651 27.0758i 0.993189 2.17478i
\(156\) −3.47157 + 3.31014i −0.277948 + 0.265023i
\(157\) 6.51009 9.14214i 0.519562 0.729622i −0.468537 0.883444i \(-0.655219\pi\)
0.988099 + 0.153822i \(0.0491581\pi\)
\(158\) 0.572173 0.449961i 0.0455196 0.0357970i
\(159\) 5.92459 3.05434i 0.469850 0.242225i
\(160\) −7.92046 −0.626168
\(161\) 12.6884 0.0655389i 0.999987 0.00516519i
\(162\) −0.213306 −0.0167589
\(163\) −10.5221 + 5.42453i −0.824156 + 0.424882i −0.818083 0.575100i \(-0.804963\pi\)
−0.00607268 + 0.999982i \(0.501933\pi\)
\(164\) −7.53907 + 5.92879i −0.588703 + 0.462961i
\(165\) 2.31201 3.24676i 0.179989 0.252760i
\(166\) −2.00715 + 1.91382i −0.155785 + 0.148541i
\(167\) −0.277556 + 0.607763i −0.0214779 + 0.0470301i −0.920067 0.391761i \(-0.871866\pi\)
0.898589 + 0.438791i \(0.144593\pi\)
\(168\) −2.10522 0.740755i −0.162422 0.0571505i
\(169\) 0.992910 6.90584i 0.0763777 0.531218i
\(170\) 0.920392 3.79391i 0.0705909 0.290980i
\(171\) −0.0527125 + 0.152303i −0.00403103 + 0.0116469i
\(172\) −12.9455 6.67387i −0.987086 0.508878i
\(173\) −0.435526 9.14281i −0.0331124 0.695115i −0.953007 0.302949i \(-0.902029\pi\)
0.919894 0.392166i \(-0.128274\pi\)
\(174\) 0.158180 + 0.182549i 0.0119916 + 0.0138390i
\(175\) −8.41578 10.8154i −0.636173 0.817567i
\(176\) −0.662985 + 4.61116i −0.0499744 + 0.347579i
\(177\) −4.38077 12.6574i −0.329279 0.951388i
\(178\) 0.597948 0.0570971i 0.0448181 0.00427961i
\(179\) −4.48964 18.5066i −0.335572 1.38325i −0.850483 0.526002i \(-0.823690\pi\)
0.514912 0.857243i \(-0.327825\pi\)
\(180\) 6.20769 + 0.592763i 0.462694 + 0.0441819i
\(181\) 3.49315 + 24.2954i 0.259643 + 1.80586i 0.535363 + 0.844622i \(0.320175\pi\)
−0.275720 + 0.961238i \(0.588916\pi\)
\(182\) −1.31118 + 0.446276i −0.0971912 + 0.0330802i
\(183\) 11.3541 0.839320
\(184\) −3.02984 + 2.68051i −0.223363 + 0.197610i
\(185\) −1.15059 1.99288i −0.0845932 0.146520i
\(186\) −0.0946882 + 1.98775i −0.00694288 + 0.145749i
\(187\) −6.65286 2.66340i −0.486505 0.194767i
\(188\) −3.50179 7.66785i −0.255394 0.559235i
\(189\) 2.40098 + 1.11143i 0.174646 + 0.0808447i
\(190\) −0.0455646 + 0.0997725i −0.00330560 + 0.00723826i
\(191\) 5.64741 + 16.3171i 0.408632 + 1.18067i 0.942241 + 0.334935i \(0.108714\pi\)
−0.533609 + 0.845731i \(0.679165\pi\)
\(192\) −6.43231 + 2.57511i −0.464212 + 0.185842i
\(193\) −16.3513 15.5910i −1.17700 1.12226i −0.990170 0.139870i \(-0.955332\pi\)
−0.186826 0.982393i \(-0.559820\pi\)
\(194\) −1.84333 + 0.355273i −0.132343 + 0.0255071i
\(195\) 6.58725 4.23337i 0.471723 0.303158i
\(196\) 9.80427 + 9.54253i 0.700305 + 0.681609i
\(197\) 3.64738 + 4.20930i 0.259865 + 0.299900i 0.870657 0.491891i \(-0.163694\pi\)
−0.610792 + 0.791791i \(0.709149\pi\)
\(198\) −0.0628239 + 0.258964i −0.00446470 + 0.0184037i
\(199\) −22.0113 + 8.81199i −1.56034 + 0.624666i −0.981617 0.190859i \(-0.938873\pi\)
−0.578722 + 0.815525i \(0.696448\pi\)
\(200\) 4.29015 + 0.826858i 0.303359 + 0.0584677i
\(201\) 5.36938 + 7.54024i 0.378727 + 0.531848i
\(202\) 1.08166 + 0.317604i 0.0761053 + 0.0223465i
\(203\) −0.829306 2.87897i −0.0582059 0.202064i
\(204\) −1.59559 11.0976i −0.111714 0.776985i
\(205\) 13.9161 7.17424i 0.971942 0.501071i
\(206\) 1.30174 + 2.25468i 0.0906963 + 0.157091i
\(207\) 3.87771 2.82195i 0.269519 0.196139i
\(208\) −4.57596 + 7.92580i −0.317286 + 0.549555i
\(209\) 0.169377 + 0.108852i 0.0117161 + 0.00752947i
\(210\) 1.55473 + 0.908300i 0.107286 + 0.0626786i
\(211\) 7.44504 + 16.3024i 0.512538 + 1.12230i 0.972188 + 0.234201i \(0.0752473\pi\)
−0.459651 + 0.888100i \(0.652025\pi\)
\(212\) 9.42869 8.99024i 0.647565 0.617452i
\(213\) 6.45620 0.616492i 0.442371 0.0422413i
\(214\) −1.62959 0.314078i −0.111397 0.0214699i
\(215\) 18.6887 + 14.6970i 1.27456 + 1.00232i
\(216\) −0.809352 + 0.237647i −0.0550694 + 0.0161698i
\(217\) 11.4230 21.8808i 0.775441 1.48537i
\(218\) −0.707612 + 0.454755i −0.0479255 + 0.0307999i
\(219\) −0.0465294 0.976773i −0.00314417 0.0660042i
\(220\) 2.54796 7.36184i 0.171783 0.496335i
\(221\) −10.1889 9.71507i −0.685378 0.653506i
\(222\) 0.120932 + 0.0951021i 0.00811644 + 0.00638284i
\(223\) 2.37229 2.73777i 0.158860 0.183335i −0.670739 0.741693i \(-0.734023\pi\)
0.829600 + 0.558358i \(0.188569\pi\)
\(224\) −6.55888 0.346210i −0.438234 0.0231321i
\(225\) −4.96980 1.45926i −0.331320 0.0972842i
\(226\) −1.16634 0.111372i −0.0775839 0.00740837i
\(227\) −9.05418 + 7.12028i −0.600947 + 0.472590i −0.871687 0.490063i \(-0.836974\pi\)
0.270740 + 0.962652i \(0.412732\pi\)
\(228\) −0.0149883 + 0.314644i −0.000992627 + 0.0208378i
\(229\) −2.34423 + 4.06033i −0.154911 + 0.268314i −0.933027 0.359807i \(-0.882843\pi\)
0.778115 + 0.628121i \(0.216176\pi\)
\(230\) 2.80964 1.66097i 0.185262 0.109521i
\(231\) 2.05647 2.58756i 0.135306 0.170249i
\(232\) 0.803565 + 0.516420i 0.0527566 + 0.0339046i
\(233\) −3.79273 1.51838i −0.248470 0.0994724i 0.244085 0.969754i \(-0.421513\pi\)
−0.492555 + 0.870282i \(0.663937\pi\)
\(234\) −0.303659 + 0.426430i −0.0198508 + 0.0278766i
\(235\) 3.24419 + 13.3727i 0.211627 + 0.872340i
\(236\) −15.1851 21.3245i −0.988468 1.38811i
\(237\) −2.23470 + 2.57899i −0.145160 + 0.167523i
\(238\) 0.928006 3.10148i 0.0601537 0.201039i
\(239\) 0.698845 0.205199i 0.0452045 0.0132732i −0.259052 0.965863i \(-0.583410\pi\)
0.304257 + 0.952590i \(0.401592\pi\)
\(240\) 11.6828 2.25167i 0.754120 0.145345i
\(241\) −21.1874 10.9229i −1.36480 0.703605i −0.388792 0.921326i \(-0.627107\pi\)
−0.976011 + 0.217721i \(0.930138\pi\)
\(242\) −1.78965 0.922627i −0.115043 0.0593087i
\(243\) 0.981929 0.189251i 0.0629908 0.0121405i
\(244\) 21.2927 6.25210i 1.36312 0.400249i
\(245\) −12.7673 18.3247i −0.815676 1.17072i
\(246\) −0.685462 + 0.791065i −0.0437034 + 0.0504365i
\(247\) 0.229434 + 0.322195i 0.0145985 + 0.0205008i
\(248\) 1.85530 + 7.64764i 0.117812 + 0.485626i
\(249\) 7.54168 10.5908i 0.477935 0.671165i
\(250\) −0.113478 0.0454296i −0.00717696 0.00287322i
\(251\) 11.3384 + 7.28672i 0.715671 + 0.459934i 0.847129 0.531388i \(-0.178329\pi\)
−0.131458 + 0.991322i \(0.541966\pi\)
\(252\) 5.11464 + 0.762206i 0.322192 + 0.0480145i
\(253\) −2.28390 5.53884i −0.143587 0.348224i
\(254\) 1.77488 3.07418i 0.111366 0.192891i
\(255\) −0.870849 + 18.2814i −0.0545347 + 1.14482i
\(256\) −9.81224 + 7.71643i −0.613265 + 0.482277i
\(257\) 19.6382 + 1.87522i 1.22500 + 0.116973i 0.687432 0.726249i \(-0.258738\pi\)
0.537566 + 0.843222i \(0.319344\pi\)
\(258\) −1.52513 0.447819i −0.0949506 0.0278800i
\(259\) −0.865687 1.70059i −0.0537912 0.105669i
\(260\) 10.0222 11.5662i 0.621549 0.717306i
\(261\) −0.890123 0.700001i −0.0550972 0.0433290i
\(262\) 3.02477 + 2.88411i 0.186871 + 0.178181i
\(263\) −7.10065 + 20.5160i −0.437845 + 1.26507i 0.483165 + 0.875530i \(0.339487\pi\)
−0.921009 + 0.389540i \(0.872634\pi\)
\(264\) 0.0501407 + 1.05258i 0.00308595 + 0.0647820i
\(265\) −17.8908 + 11.4977i −1.09902 + 0.706298i
\(266\) −0.0420929 + 0.0806293i −0.00258088 + 0.00494370i
\(267\) −2.70192 + 0.793354i −0.165355 + 0.0485525i
\(268\) 14.2214 + 11.1838i 0.868708 + 0.683160i
\(269\) 12.2352 + 2.35814i 0.745991 + 0.143778i 0.548061 0.836438i \(-0.315366\pi\)
0.197930 + 0.980216i \(0.436578\pi\)
\(270\) 0.677483 0.0646918i 0.0412303 0.00393702i
\(271\) −2.95270 + 2.81539i −0.179364 + 0.171023i −0.774442 0.632645i \(-0.781969\pi\)
0.595079 + 0.803667i \(0.297121\pi\)
\(272\) −8.88625 19.4582i −0.538808 1.17982i
\(273\) 5.63990 3.21769i 0.341342 0.194743i
\(274\) 2.00533 + 1.28874i 0.121146 + 0.0778559i
\(275\) −3.23534 + 5.60377i −0.195098 + 0.337920i
\(276\) 5.71808 7.42733i 0.344188 0.447073i
\(277\) 5.44681 + 9.43416i 0.327267 + 0.566843i 0.981969 0.189044i \(-0.0605389\pi\)
−0.654701 + 0.755888i \(0.727206\pi\)
\(278\) −0.268275 + 0.138305i −0.0160901 + 0.00829501i
\(279\) −1.32770 9.23436i −0.0794874 0.552847i
\(280\) 6.91107 + 1.71424i 0.413015 + 0.102445i
\(281\) 8.71961 + 2.56031i 0.520168 + 0.152735i 0.531269 0.847203i \(-0.321715\pi\)
−0.0111007 + 0.999938i \(0.503534\pi\)
\(282\) −0.533638 0.749390i −0.0317777 0.0446255i
\(283\) 28.0497 + 5.40614i 1.66738 + 0.321362i 0.933680 0.358108i \(-0.116578\pi\)
0.733704 + 0.679470i \(0.237790\pi\)
\(284\) 11.7680 4.71121i 0.698304 0.279559i
\(285\) 0.121230 0.499716i 0.00718103 0.0296006i
\(286\) 0.428270 + 0.494250i 0.0253241 + 0.0292256i
\(287\) 11.8374 5.33266i 0.698740 0.314777i
\(288\) −2.08839 + 1.34213i −0.123060 + 0.0790856i
\(289\) 15.6182 3.01017i 0.918719 0.177069i
\(290\) −0.557759 0.531822i −0.0327527 0.0312297i
\(291\) 8.17033 3.27091i 0.478953 0.191744i
\(292\) −0.625114 1.80615i −0.0365820 0.105697i
\(293\) −7.57900 + 16.5957i −0.442770 + 0.969531i 0.548311 + 0.836274i \(0.315271\pi\)
−0.991081 + 0.133257i \(0.957456\pi\)
\(294\) 1.24776 + 0.820115i 0.0727706 + 0.0478301i
\(295\) 17.7525 + 38.8726i 1.03359 + 2.26325i
\(296\) 0.564809 + 0.226115i 0.0328289 + 0.0131427i
\(297\) 0.0594422 1.24784i 0.00344918 0.0724073i
\(298\) 0.499903 + 0.865858i 0.0289586 + 0.0501578i
\(299\) −0.121244 11.7694i −0.00701169 0.680639i
\(300\) −10.1235 −0.584483
\(301\) 14.8336 + 12.9874i 0.854993 + 0.748579i
\(302\) 0.398887 + 2.77432i 0.0229534 + 0.159644i
\(303\) −5.26107 0.502371i −0.302240 0.0288605i
\(304\) 0.141692 + 0.584062i 0.00812658 + 0.0334982i
\(305\) −36.0618 + 3.44348i −2.06489 + 0.197173i
\(306\) −0.400200 1.15630i −0.0228779 0.0661014i
\(307\) 3.31942 23.0870i 0.189449 1.31765i −0.643989 0.765035i \(-0.722722\pi\)
0.833438 0.552613i \(-0.186369\pi\)
\(308\) 2.43174 5.98491i 0.138561 0.341022i
\(309\) −7.99279 9.22417i −0.454694 0.524745i
\(310\) −0.302107 6.34202i −0.0171585 0.360202i
\(311\) 14.6391 + 7.54697i 0.830106 + 0.427949i 0.820252 0.572002i \(-0.193833\pi\)
0.00985360 + 0.999951i \(0.496863\pi\)
\(312\) −0.677088 + 1.95632i −0.0383326 + 0.110755i
\(313\) 4.59190 18.9281i 0.259550 1.06988i −0.681556 0.731766i \(-0.738696\pi\)
0.941106 0.338112i \(-0.109788\pi\)
\(314\) 0.340699 2.36961i 0.0192267 0.133725i
\(315\) −7.96285 2.80185i −0.448655 0.157866i
\(316\) −2.77070 + 6.06698i −0.155864 + 0.341294i
\(317\) −20.3901 + 19.4419i −1.14522 + 1.09197i −0.150579 + 0.988598i \(0.548114\pi\)
−0.994643 + 0.103369i \(0.967038\pi\)
\(318\) 0.824729 1.15817i 0.0462485 0.0649469i
\(319\) −1.11200 + 0.874483i −0.0622598 + 0.0489616i
\(320\) 19.6487 10.1296i 1.09839 0.566262i
\(321\) 7.78027 0.434252
\(322\) 2.39924 1.25262i 0.133705 0.0698060i
\(323\) −0.924509 −0.0514411
\(324\) 1.73723 0.895604i 0.0965127 0.0497558i
\(325\) −9.99218 + 7.85794i −0.554267 + 0.435880i
\(326\) −1.46473 + 2.05692i −0.0811237 + 0.113922i
\(327\) 2.85393 2.72122i 0.157823 0.150484i
\(328\) −1.71952 + 3.76523i −0.0949448 + 0.207900i
\(329\) 2.10196 + 11.2157i 0.115885 + 0.618340i
\(330\) 0.120996 0.841548i 0.00666063 0.0463257i
\(331\) 7.96425 32.8291i 0.437755 1.80445i −0.142242 0.989832i \(-0.545431\pi\)
0.579997 0.814619i \(-0.303054\pi\)
\(332\) 8.31135 24.0141i 0.456144 1.31794i
\(333\) −0.641073 0.330496i −0.0351306 0.0181111i
\(334\) 0.00678133 + 0.142358i 0.000371058 + 0.00778946i
\(335\) −19.3405 22.3202i −1.05669 1.21948i
\(336\) 9.77286 1.35393i 0.533153 0.0738630i
\(337\) −3.07013 + 21.3533i −0.167241 + 1.16319i 0.717314 + 0.696750i \(0.245371\pi\)
−0.884555 + 0.466436i \(0.845538\pi\)
\(338\) −0.486745 1.40636i −0.0264754 0.0764958i
\(339\) 5.46792 0.522123i 0.296977 0.0283578i
\(340\) 8.43344 + 34.7631i 0.457367 + 1.88529i
\(341\) −11.6020 1.10785i −0.628282 0.0599936i
\(342\) 0.00489249 + 0.0340280i 0.000264556 + 0.00184002i
\(343\) −9.77157 15.7327i −0.527615 0.849484i
\(344\) −6.28576 −0.338905
\(345\) −11.4601 + 10.1388i −0.616994 + 0.545857i
\(346\) −0.976216 1.69086i −0.0524817 0.0909010i
\(347\) 0.000515062 0.0108125i 2.76500e−5 0.000580444i −0.998853 0.0478721i \(-0.984756\pi\)
0.998881 + 0.0472917i \(0.0150590\pi\)
\(348\) −2.05473 0.822589i −0.110145 0.0440954i
\(349\) 4.27795 + 9.36740i 0.228993 + 0.501426i 0.988896 0.148612i \(-0.0474805\pi\)
−0.759902 + 0.650037i \(0.774753\pi\)
\(350\) −2.65271 1.22796i −0.141793 0.0656371i
\(351\) 1.01952 2.23243i 0.0544177 0.119158i
\(352\) 1.01432 + 2.93069i 0.0540635 + 0.156206i
\(353\) 19.8844 7.96052i 1.05834 0.423696i 0.223796 0.974636i \(-0.428155\pi\)
0.834545 + 0.550940i \(0.185731\pi\)
\(354\) −2.06774 1.97158i −0.109899 0.104788i
\(355\) −20.3186 + 3.91608i −1.07840 + 0.207844i
\(356\) −4.63013 + 2.97560i −0.245396 + 0.157707i
\(357\) −1.52024 + 15.1006i −0.0804595 + 0.799209i
\(358\) −2.66009 3.06991i −0.140590 0.162250i
\(359\) −3.92891 + 16.1952i −0.207360 + 0.854748i 0.769114 + 0.639112i \(0.220698\pi\)
−0.976474 + 0.215637i \(0.930817\pi\)
\(360\) 2.49851 1.00025i 0.131683 0.0527180i
\(361\) −18.6311 3.59086i −0.980586 0.188993i
\(362\) 3.03697 + 4.26483i 0.159620 + 0.224155i
\(363\) 9.05699 + 2.65937i 0.475369 + 0.139581i
\(364\) 8.80486 9.13982i 0.461500 0.479057i
\(365\) 0.444019 + 3.08822i 0.0232410 + 0.161645i
\(366\) 2.15267 1.10978i 0.112522 0.0580092i
\(367\) −14.8958 25.8002i −0.777552 1.34676i −0.933349 0.358971i \(-0.883128\pi\)
0.155797 0.987789i \(-0.450206\pi\)
\(368\) 6.47543 16.6705i 0.337555 0.869011i
\(369\) 2.45358 4.24973i 0.127728 0.221232i
\(370\) −0.412936 0.265378i −0.0214675 0.0137963i
\(371\) −15.3178 + 8.73915i −0.795261 + 0.453714i
\(372\) −7.57474 16.5864i −0.392732 0.859963i
\(373\) −1.98470 + 1.89241i −0.102764 + 0.0979852i −0.739720 0.672915i \(-0.765042\pi\)
0.636956 + 0.770900i \(0.280193\pi\)
\(374\) −1.52167 + 0.145302i −0.0786838 + 0.00751339i
\(375\) 0.562687 + 0.108449i 0.0290570 + 0.00560028i
\(376\) −2.85969 2.24889i −0.147477 0.115978i
\(377\) −2.66656 + 0.782973i −0.137335 + 0.0403252i
\(378\) 0.563847 0.0239575i 0.0290012 0.00123224i
\(379\) −13.3681 + 8.59114i −0.686672 + 0.441297i −0.836901 0.547354i \(-0.815635\pi\)
0.150229 + 0.988651i \(0.451999\pi\)
\(380\) −0.0478210 1.00389i −0.00245317 0.0514983i
\(381\) −5.44293 + 15.7263i −0.278850 + 0.805683i
\(382\) 2.66560 + 2.54164i 0.136384 + 0.130042i
\(383\) 21.0771 + 16.5752i 1.07699 + 0.846955i 0.988815 0.149150i \(-0.0476538\pi\)
0.0881761 + 0.996105i \(0.471896\pi\)
\(384\) −4.21918 + 4.86920i −0.215309 + 0.248480i
\(385\) −5.74682 + 8.84204i −0.292885 + 0.450632i
\(386\) −4.62403 1.35774i −0.235357 0.0691070i
\(387\) 7.41807 + 0.708340i 0.377082 + 0.0360069i
\(388\) 13.5209 10.6330i 0.686422 0.539808i
\(389\) 1.20381 25.2711i 0.0610355 1.28129i −0.735842 0.677153i \(-0.763214\pi\)
0.796878 0.604140i \(-0.206483\pi\)
\(390\) 0.835124 1.44648i 0.0422882 0.0732453i
\(391\) 22.5726 + 15.7260i 1.14155 + 0.795298i
\(392\) 5.64808 + 1.72164i 0.285271 + 0.0869558i
\(393\) −16.4830 10.5930i −0.831457 0.534345i
\(394\) 1.10295 + 0.441555i 0.0555659 + 0.0222452i
\(395\) 6.31549 8.86887i 0.317767 0.446241i
\(396\) −0.575648 2.37285i −0.0289274 0.119240i
\(397\) −8.61079 12.0922i −0.432163 0.606888i 0.539865 0.841751i \(-0.318475\pi\)
−0.972028 + 0.234863i \(0.924536\pi\)
\(398\) −3.31191 + 3.82215i −0.166011 + 0.191587i
\(399\) 0.122233 0.408513i 0.00611929 0.0204512i
\(400\) −18.5327 + 5.44170i −0.926636 + 0.272085i
\(401\) −14.0128 + 2.70074i −0.699764 + 0.134868i −0.526711 0.850044i \(-0.676575\pi\)
−0.173052 + 0.984913i \(0.555363\pi\)
\(402\) 1.75501 + 0.904770i 0.0875318 + 0.0451258i
\(403\) −20.3509 10.4916i −1.01375 0.522624i
\(404\) −10.1429 + 1.95488i −0.504626 + 0.0972587i
\(405\) −3.06131 + 0.898882i −0.152118 + 0.0446658i
\(406\) −0.438630 0.464779i −0.0217689 0.0230666i
\(407\) −0.590048 + 0.680952i −0.0292476 + 0.0337535i
\(408\) −2.80674 3.94151i −0.138954 0.195134i
\(409\) 4.05188 + 16.7021i 0.200352 + 0.825864i 0.979895 + 0.199515i \(0.0639365\pi\)
−0.779542 + 0.626349i \(0.784548\pi\)
\(410\) 1.93718 2.72039i 0.0956706 0.134351i
\(411\) −10.3747 4.15339i −0.511745 0.204872i
\(412\) −20.0684 12.8972i −0.988698 0.635397i
\(413\) 13.0016 + 32.9661i 0.639766 + 1.62216i
\(414\) 0.459366 0.914043i 0.0225766 0.0449228i
\(415\) −20.7412 + 35.9248i −1.01814 + 1.76348i
\(416\) −0.289894 + 6.08562i −0.0142132 + 0.298372i
\(417\) 1.11226 0.874692i 0.0544677 0.0428339i
\(418\) 0.0427525 + 0.00408237i 0.00209109 + 0.000199675i
\(419\) 5.49772 + 1.61428i 0.268581 + 0.0788626i 0.413250 0.910618i \(-0.364394\pi\)
−0.144669 + 0.989480i \(0.546212\pi\)
\(420\) −16.4758 0.869672i −0.803936 0.0424357i
\(421\) −7.26818 + 8.38792i −0.354229 + 0.408802i −0.904698 0.426053i \(-0.859904\pi\)
0.550469 + 0.834856i \(0.314449\pi\)
\(422\) 3.00497 + 2.36314i 0.146280 + 0.115036i
\(423\) 3.12141 + 2.97626i 0.151768 + 0.144711i
\(424\) 1.83895 5.31330i 0.0893074 0.258037i
\(425\) −1.41375 29.6784i −0.0685772 1.43961i
\(426\) 1.16380 0.747929i 0.0563863 0.0362373i
\(427\) −30.0131 + 1.27524i −1.45243 + 0.0617130i
\(428\) 14.5906 4.28418i 0.705262 0.207083i
\(429\) −2.41000 1.89524i −0.116356 0.0915031i
\(430\) 4.97979 + 0.959776i 0.240147 + 0.0462845i
\(431\) 21.4647 2.04963i 1.03392 0.0987271i 0.435725 0.900080i \(-0.356492\pi\)
0.598192 + 0.801353i \(0.295886\pi\)
\(432\) 2.69886 2.57335i 0.129849 0.123811i
\(433\) 12.9140 + 28.2777i 0.620606 + 1.35894i 0.915078 + 0.403278i \(0.132129\pi\)
−0.294471 + 0.955660i \(0.595144\pi\)
\(434\) 0.0270415 5.26499i 0.00129803 0.252727i
\(435\) 3.03942 + 1.95332i 0.145729 + 0.0936543i
\(436\) 3.85363 6.67469i 0.184555 0.319659i
\(437\) −0.539116 0.553871i −0.0257894 0.0264952i
\(438\) −0.104294 0.180643i −0.00498336 0.00863144i
\(439\) −30.8653 + 15.9122i −1.47312 + 0.759446i −0.993040 0.117778i \(-0.962423\pi\)
−0.480080 + 0.877224i \(0.659393\pi\)
\(440\) −0.478480 3.32790i −0.0228107 0.158652i
\(441\) −6.47151 2.66825i −0.308167 0.127060i
\(442\) −2.88133 0.846035i −0.137051 0.0402418i
\(443\) −16.9101 23.7469i −0.803424 1.12825i −0.989331 0.145684i \(-0.953462\pi\)
0.185907 0.982567i \(-0.440478\pi\)
\(444\) −1.38421 0.266784i −0.0656917 0.0126610i
\(445\) 8.34096 3.33922i 0.395399 0.158294i
\(446\) 0.182176 0.750940i 0.00862629 0.0355581i
\(447\) −3.06945 3.54234i −0.145180 0.167547i
\(448\) 16.7137 7.52939i 0.789649 0.355730i
\(449\) −13.2369 + 8.50686i −0.624689 + 0.401463i −0.814340 0.580388i \(-0.802901\pi\)
0.189651 + 0.981852i \(0.439264\pi\)
\(450\) −1.08488 + 0.209093i −0.0511416 + 0.00985674i
\(451\) −4.43672 4.23040i −0.208917 0.199202i
\(452\) 9.96664 3.99004i 0.468791 0.187676i
\(453\) −4.29768 12.4173i −0.201922 0.583416i
\(454\) −1.02067 + 2.23495i −0.0479022 + 0.104891i
\(455\) −16.9370 + 11.9302i −0.794021 + 0.559296i
\(456\) 0.0564747 + 0.123662i 0.00264467 + 0.00579102i
\(457\) −7.24366 2.89992i −0.338844 0.135653i 0.195999 0.980604i \(-0.437205\pi\)
−0.534843 + 0.844951i \(0.679629\pi\)
\(458\) −0.0475858 + 0.998948i −0.00222354 + 0.0466778i
\(459\) 2.86817 + 4.96782i 0.133875 + 0.231878i
\(460\) −15.9086 + 25.3241i −0.741744 + 1.18074i
\(461\) 41.4436 1.93022 0.965111 0.261842i \(-0.0843299\pi\)
0.965111 + 0.261842i \(0.0843299\pi\)
\(462\) 0.136981 0.691592i 0.00637294 0.0321758i
\(463\) 0.208253 + 1.44843i 0.00967834 + 0.0673143i 0.994088 0.108575i \(-0.0346289\pi\)
−0.984410 + 0.175890i \(0.943720\pi\)
\(464\) −4.20366 0.401401i −0.195150 0.0186346i
\(465\) 7.01752 + 28.9266i 0.325430 + 1.34144i
\(466\) −0.867491 + 0.0828353i −0.0401857 + 0.00383727i
\(467\) −2.33938 6.75920i −0.108254 0.312778i 0.877844 0.478947i \(-0.158982\pi\)
−0.986097 + 0.166169i \(0.946860\pi\)
\(468\) 0.682649 4.74793i 0.0315555 0.219473i
\(469\) −15.0401 19.3286i −0.694489 0.892510i
\(470\) 1.92216 + 2.21830i 0.0886628 + 0.102322i
\(471\) 0.534021 + 11.2105i 0.0246064 + 0.516552i
\(472\) −10.0422 5.17712i −0.462230 0.238296i
\(473\) 3.04476 8.79725i 0.139998 0.404498i
\(474\) −0.171610 + 0.707387i −0.00788232 + 0.0324914i
\(475\) −0.118802 + 0.826284i −0.00545100 + 0.0379125i
\(476\) 5.46415 + 29.1557i 0.250449 + 1.33635i
\(477\) −2.76897 + 6.06321i −0.126783 + 0.277615i
\(478\) 0.112440 0.107212i 0.00514290 0.00490374i
\(479\) 19.2173 26.9870i 0.878063 1.23307i −0.0933411 0.995634i \(-0.529755\pi\)
0.971404 0.237433i \(-0.0763059\pi\)
\(480\) 6.22590 4.89611i 0.284172 0.223476i
\(481\) −1.57333 + 0.811107i −0.0717375 + 0.0369833i
\(482\) −5.08465 −0.231599
\(483\) −9.93325 + 7.89497i −0.451978 + 0.359234i
\(484\) 18.4492 0.838601
\(485\) −24.9578 + 12.8666i −1.13327 + 0.584244i
\(486\) 0.167670 0.131857i 0.00760567 0.00598117i
\(487\) 17.2726 24.2560i 0.782698 1.09915i −0.209903 0.977722i \(-0.567315\pi\)
0.992601 0.121423i \(-0.0387458\pi\)
\(488\) 6.93150 6.60918i 0.313774 0.299183i
\(489\) 4.91772 10.7683i 0.222387 0.486960i
\(490\) −4.21172 2.22635i −0.190266 0.100576i
\(491\) −5.24083 + 36.4508i −0.236516 + 1.64500i 0.432413 + 0.901675i \(0.357662\pi\)
−0.668929 + 0.743326i \(0.733247\pi\)
\(492\) 2.26118 9.32069i 0.101942 0.420209i
\(493\) 2.12457 6.13855i 0.0956859 0.276466i
\(494\) 0.0749916 + 0.0386609i 0.00337403 + 0.00173944i
\(495\) 0.189653 + 3.98131i 0.00852428 + 0.178947i
\(496\) −22.7824 26.2923i −1.02296 1.18056i
\(497\) −16.9968 + 2.35474i −0.762413 + 0.105625i
\(498\) 0.394686 2.74510i 0.0176863 0.123011i
\(499\) 13.7998 + 39.8719i 0.617763 + 1.78491i 0.619608 + 0.784911i \(0.287291\pi\)
−0.00184516 + 0.999998i \(0.500587\pi\)
\(500\) 1.11494 0.106464i 0.0498616 0.00476121i
\(501\) −0.157520 0.649308i −0.00703750 0.0290090i
\(502\) 2.86191 + 0.273279i 0.127733 + 0.0121971i
\(503\) −2.81667 19.5904i −0.125589 0.873493i −0.951051 0.309034i \(-0.899994\pi\)
0.825462 0.564458i \(-0.190915\pi\)
\(504\) 2.11272 0.719091i 0.0941081 0.0320309i
\(505\) 16.8620 0.750351
\(506\) −0.974395 0.826899i −0.0433171 0.0367601i
\(507\) 3.48843 + 6.04213i 0.154926 + 0.268341i
\(508\) −1.54765 + 32.4891i −0.0686658 + 1.44147i
\(509\) 31.2104 + 12.4947i 1.38337 + 0.553820i 0.939586 0.342312i \(-0.111210\pi\)
0.443788 + 0.896132i \(0.353634\pi\)
\(510\) 1.62176 + 3.55116i 0.0718128 + 0.157248i
\(511\) 0.232700 + 2.57674i 0.0102941 + 0.113988i
\(512\) −6.45905 + 14.1433i −0.285452 + 0.625054i
\(513\) −0.0527125 0.152303i −0.00232731 0.00672433i
\(514\) 3.90658 1.56396i 0.172312 0.0689833i
\(515\) 28.1834 + 26.8728i 1.24191 + 1.18416i
\(516\) 14.3014 2.75636i 0.629583 0.121342i
\(517\) 4.53264 2.91295i 0.199345 0.128112i
\(518\) −0.330349 0.237807i −0.0145147 0.0104486i
\(519\) 5.99406 + 6.91751i 0.263110 + 0.303645i
\(520\) 1.55719 6.41882i 0.0682872 0.281484i
\(521\) −33.3462 + 13.3498i −1.46092 + 0.584866i −0.959844 0.280535i \(-0.909488\pi\)
−0.501080 + 0.865401i \(0.667064\pi\)
\(522\) −0.237182 0.0457131i −0.0103812 0.00200081i
\(523\) −5.05166 7.09406i −0.220894 0.310202i 0.689227 0.724546i \(-0.257950\pi\)
−0.910120 + 0.414344i \(0.864011\pi\)
\(524\) −36.7440 10.7890i −1.60517 0.471321i
\(525\) 13.3009 + 3.29919i 0.580498 + 0.143988i
\(526\) 0.659044 + 4.58375i 0.0287357 + 0.199861i
\(527\) 47.5671 24.5225i 2.07206 1.06822i
\(528\) −2.32929 4.03445i −0.101369 0.175577i
\(529\) 3.74155 + 22.6936i 0.162676 + 0.986680i
\(530\) −2.26817 + 3.92859i −0.0985231 + 0.170647i
\(531\) 11.2678 + 7.24138i 0.488981 + 0.314249i
\(532\) 0.00428044 0.833403i 0.000185581 0.0361326i
\(533\) −5.00293 10.9549i −0.216701 0.474509i
\(534\) −0.434724 + 0.414508i −0.0188123 + 0.0179375i
\(535\) −24.7109 + 2.35961i −1.06835 + 0.102015i
\(536\) 7.66707 + 1.47771i 0.331167 + 0.0638272i
\(537\) 14.9691 + 11.7718i 0.645964 + 0.507992i
\(538\) 2.55021 0.748809i 0.109947 0.0322834i
\(539\) −5.14539 + 7.07084i −0.221628 + 0.304563i
\(540\) −5.24600 + 3.37140i −0.225752 + 0.145082i
\(541\) 0.243239 + 5.10621i 0.0104576 + 0.219533i 0.998047 + 0.0624728i \(0.0198987\pi\)
−0.987589 + 0.157060i \(0.949798\pi\)
\(542\) −0.284631 + 0.822387i −0.0122259 + 0.0353245i
\(543\) −17.7642 16.9381i −0.762334 0.726884i
\(544\) −11.1937 8.80280i −0.479924 0.377417i
\(545\) −8.23908 + 9.50841i −0.352924 + 0.407295i
\(546\) 0.754788 1.16131i 0.0323019 0.0496997i
\(547\) −33.8939 9.95214i −1.44920 0.425523i −0.539922 0.841715i \(-0.681546\pi\)
−0.909277 + 0.416192i \(0.863364\pi\)
\(548\) −21.7430 2.07620i −0.928813 0.0886909i
\(549\) −8.92493 + 7.01864i −0.380907 + 0.299548i
\(550\) −0.0656743 + 1.37867i −0.00280036 + 0.0587868i
\(551\) −0.0912524 + 0.158054i −0.00388748 + 0.00673331i
\(552\) 0.724634 3.97995i 0.0308425 0.169398i
\(553\) 5.61748 7.06820i 0.238880 0.300570i
\(554\) 1.95480 + 1.25628i 0.0830517 + 0.0533741i
\(555\) 2.13635 + 0.855264i 0.0906828 + 0.0363039i
\(556\) 1.60421 2.25280i 0.0680337 0.0955400i
\(557\) −0.673970 2.77814i −0.0285570 0.117714i 0.955749 0.294183i \(-0.0950475\pi\)
−0.984306 + 0.176469i \(0.943532\pi\)
\(558\) −1.15432 1.62101i −0.0488661 0.0686228i
\(559\) 11.9763 13.8214i 0.506543 0.584582i
\(560\) −30.6290 + 7.26414i −1.29431 + 0.306966i
\(561\) 6.87590 2.01895i 0.290301 0.0852400i
\(562\) 1.90344 0.366858i 0.0802918 0.0154750i
\(563\) −15.8513 8.17191i −0.668052 0.344405i 0.0906124 0.995886i \(-0.471118\pi\)
−0.758665 + 0.651481i \(0.774148\pi\)
\(564\) 7.49254 + 3.86267i 0.315493 + 0.162648i
\(565\) −17.2083 + 3.31663i −0.723959 + 0.139532i
\(566\) 5.84648 1.71668i 0.245746 0.0721575i
\(567\) −2.57434 + 0.610546i −0.108112 + 0.0256405i
\(568\) 3.58255 4.13448i 0.150320 0.173479i
\(569\) −23.7304 33.3247i −0.994830 1.39704i −0.916463 0.400119i \(-0.868969\pi\)
−0.0783672 0.996925i \(-0.524971\pi\)
\(570\) −0.0258591 0.106593i −0.00108312 0.00446468i
\(571\) 6.24151 8.76497i 0.261199 0.366803i −0.663062 0.748565i \(-0.730743\pi\)
0.924261 + 0.381762i \(0.124683\pi\)
\(572\) −5.56314 2.22715i −0.232607 0.0931217i
\(573\) −14.5257 9.33513i −0.606822 0.389981i
\(574\) 1.72308 2.16806i 0.0719199 0.0904932i
\(575\) 16.9558 18.1536i 0.707107 0.757056i
\(576\) 3.46431 6.00036i 0.144346 0.250015i
\(577\) 1.40580 29.5113i 0.0585241 1.22857i −0.758386 0.651806i \(-0.774012\pi\)
0.816910 0.576765i \(-0.195685\pi\)
\(578\) 2.66691 2.09728i 0.110929 0.0872353i
\(579\) 22.4907 + 2.14760i 0.934683 + 0.0892514i
\(580\) 6.77550 + 1.98947i 0.281337 + 0.0826081i
\(581\) −18.7459 + 28.8424i −0.777712 + 1.19659i
\(582\) 1.22934 1.41873i 0.0509578 0.0588084i
\(583\) 6.54548 + 5.14742i 0.271086 + 0.213184i
\(584\) −0.596981 0.569220i −0.0247032 0.0235545i
\(585\) −2.56103 + 7.39962i −0.105886 + 0.305937i
\(586\) 0.185172 + 3.88724i 0.00764940 + 0.160581i
\(587\) −12.6100 + 8.10397i −0.520471 + 0.334486i −0.774358 0.632747i \(-0.781927\pi\)
0.253887 + 0.967234i \(0.418291\pi\)
\(588\) −13.6055 1.44034i −0.561080 0.0593986i
\(589\) −1.44267 + 0.423607i −0.0594443 + 0.0174544i
\(590\) 7.16529 + 5.63484i 0.294990 + 0.231983i
\(591\) −5.46905 1.05407i −0.224967 0.0433588i
\(592\) −2.67742 + 0.255662i −0.110041 + 0.0105077i
\(593\) −12.0869 + 11.5248i −0.496348 + 0.473267i −0.896413 0.443220i \(-0.853836\pi\)
0.400065 + 0.916487i \(0.368988\pi\)
\(594\) −0.110698 0.242394i −0.00454198 0.00994556i
\(595\) 0.248701 48.4222i 0.0101957 1.98511i
\(596\) −7.70681 4.95287i −0.315683 0.202877i
\(597\) 11.8548 20.5332i 0.485186 0.840367i
\(598\) −1.17336 2.21955i −0.0479821 0.0907642i
\(599\) 1.74391 + 3.02054i 0.0712543 + 0.123416i 0.899451 0.437021i \(-0.143966\pi\)
−0.828197 + 0.560437i \(0.810633\pi\)
\(600\) −3.88341 + 2.00204i −0.158540 + 0.0817329i
\(601\) 1.17350 + 8.16187i 0.0478680 + 0.332930i 0.999657 + 0.0261770i \(0.00833334\pi\)
−0.951789 + 0.306753i \(0.900758\pi\)
\(602\) 4.08178 + 1.01246i 0.166361 + 0.0412646i
\(603\) −8.88169 2.60790i −0.361690 0.106202i
\(604\) −14.8971 20.9201i −0.606155 0.851225i
\(605\) −29.5725 5.69963i −1.20229 0.231723i
\(606\) −1.04657 + 0.418984i −0.0425141 + 0.0170201i
\(607\) −0.257709 + 1.06229i −0.0104601 + 0.0431170i −0.976802 0.214142i \(-0.931304\pi\)
0.966342 + 0.257259i \(0.0828195\pi\)
\(608\) 0.262005 + 0.302370i 0.0106257 + 0.0122627i
\(609\) 2.43154 + 1.75038i 0.0985311 + 0.0709291i
\(610\) −6.50054 + 4.17764i −0.263199 + 0.169148i
\(611\) 10.3935 2.00319i 0.420478 0.0810405i
\(612\) 8.11428 + 7.73695i 0.328000 + 0.312748i
\(613\) 17.6882 7.08127i 0.714418 0.286010i 0.0141601 0.999900i \(-0.495493\pi\)
0.700258 + 0.713890i \(0.253068\pi\)
\(614\) −1.62725 4.70162i −0.0656703 0.189742i
\(615\) −6.50396 + 14.2417i −0.262265 + 0.574280i
\(616\) −0.250761 2.77673i −0.0101034 0.111878i
\(617\) −3.36436 7.36692i −0.135444 0.296581i 0.829741 0.558148i \(-0.188488\pi\)
−0.965185 + 0.261567i \(0.915761\pi\)
\(618\) −2.41698 0.967614i −0.0972253 0.0389231i
\(619\) 1.12177 23.5489i 0.0450878 0.946510i −0.857095 0.515158i \(-0.827733\pi\)
0.902183 0.431353i \(-0.141964\pi\)
\(620\) 29.0885 + 50.3827i 1.16822 + 2.02342i
\(621\) −1.30367 + 4.61524i −0.0523144 + 0.185203i
\(622\) 3.51315 0.140864
\(623\) 7.05305 2.40059i 0.282575 0.0961777i
\(624\) −1.30245 9.05877i −0.0521399 0.362641i
\(625\) 23.9607 + 2.28797i 0.958429 + 0.0915189i
\(626\) −0.979482 4.03748i −0.0391480 0.161370i
\(627\) −0.200428 + 0.0191385i −0.00800431 + 0.000764319i
\(628\) 7.17447 + 20.7293i 0.286293 + 0.827188i
\(629\) 0.588805 4.09523i 0.0234772 0.163287i
\(630\) −1.78357 + 0.247096i −0.0710591 + 0.00984453i
\(631\) −4.05394 4.67850i −0.161385 0.186248i 0.669298 0.742994i \(-0.266595\pi\)
−0.830683 + 0.556746i \(0.812050\pi\)
\(632\) 0.136965 + 2.87524i 0.00544816 + 0.114371i
\(633\) −15.9296 8.21230i −0.633147 0.326410i
\(634\) −1.96554 + 5.67906i −0.0780616 + 0.225544i
\(635\) 12.5178 51.5991i 0.496754 2.04765i
\(636\) −1.85405 + 12.8952i −0.0735181 + 0.511329i
\(637\) −14.5469 + 9.13898i −0.576370 + 0.362100i
\(638\) −0.125354 + 0.274486i −0.00496280 + 0.0108670i
\(639\) −4.69382 + 4.47555i −0.185685 + 0.177050i
\(640\) 11.9238 16.7447i 0.471330 0.661891i
\(641\) 8.71381 6.85261i 0.344175 0.270662i −0.431076 0.902316i \(-0.641866\pi\)
0.775251 + 0.631654i \(0.217623\pi\)
\(642\) 1.47509 0.760464i 0.0582173 0.0300131i
\(643\) 41.4879 1.63612 0.818062 0.575131i \(-0.195049\pi\)
0.818062 + 0.575131i \(0.195049\pi\)
\(644\) −14.2808 + 20.2754i −0.562741 + 0.798962i
\(645\) −23.7754 −0.936154
\(646\) −0.175282 + 0.0903640i −0.00689637 + 0.00355532i
\(647\) −20.5038 + 16.1244i −0.806088 + 0.633914i −0.933759 0.357902i \(-0.883492\pi\)
0.127671 + 0.991817i \(0.459250\pi\)
\(648\) 0.489290 0.687111i 0.0192211 0.0269923i
\(649\) 12.1100 11.5469i 0.475359 0.453254i
\(650\) −1.12641 + 2.46648i −0.0441812 + 0.0967434i
\(651\) 4.54676 + 24.2607i 0.178201 + 0.950851i
\(652\) 3.29282 22.9021i 0.128957 0.896914i
\(653\) 4.67514 19.2712i 0.182952 0.754140i −0.804200 0.594359i \(-0.797406\pi\)
0.987152 0.159781i \(-0.0510788\pi\)
\(654\) 0.275110 0.794878i 0.0107577 0.0310822i
\(655\) 55.5643 + 28.6454i 2.17108 + 1.11927i
\(656\) −0.870709 18.2784i −0.0339955 0.713653i
\(657\) 0.640375 + 0.739033i 0.0249834 + 0.0288324i
\(658\) 1.49477 + 1.92098i 0.0582721 + 0.0748874i
\(659\) −2.12895 + 14.8072i −0.0829321 + 0.576806i 0.905408 + 0.424543i \(0.139565\pi\)
−0.988340 + 0.152263i \(0.951344\pi\)
\(660\) 2.54796 + 7.36184i 0.0991791 + 0.286559i
\(661\) 16.9019 1.61393i 0.657406 0.0627747i 0.238979 0.971025i \(-0.423187\pi\)
0.418428 + 0.908250i \(0.362581\pi\)
\(662\) −1.69883 7.00266i −0.0660268 0.272166i
\(663\) 14.0145 + 1.33822i 0.544276 + 0.0519721i
\(664\) −1.56079 10.8555i −0.0605703 0.421275i
\(665\) −0.264329 + 1.33455i −0.0102502 + 0.0517516i
\(666\) −0.153847 −0.00596146
\(667\) 4.91651 2.30680i 0.190368 0.0893195i
\(668\) −0.652942 1.13093i −0.0252631 0.0437569i
\(669\) −0.172370 + 3.61849i −0.00666420 + 0.139899i
\(670\) −5.84848 2.34138i −0.225947 0.0904554i
\(671\) 5.89234 + 12.9024i 0.227471 + 0.498093i
\(672\) 5.36964 3.78229i 0.207138 0.145905i
\(673\) 12.0028 26.2825i 0.462675 1.01312i −0.524195 0.851598i \(-0.675634\pi\)
0.986870 0.161518i \(-0.0516390\pi\)
\(674\) 1.50504 + 4.34854i 0.0579721 + 0.167499i
\(675\) 4.80858 1.92507i 0.185082 0.0740958i
\(676\) 9.86903 + 9.41010i 0.379578 + 0.361927i
\(677\) −35.3132 + 6.80607i −1.35720 + 0.261578i −0.815384 0.578920i \(-0.803474\pi\)
−0.541813 + 0.840499i \(0.682262\pi\)
\(678\) 0.985653 0.633440i 0.0378538 0.0243271i
\(679\) −21.2298 + 9.56385i −0.814725 + 0.367027i
\(680\) 10.1099 + 11.6674i 0.387696 + 0.447425i
\(681\) 2.71560 11.1938i 0.104062 0.428949i
\(682\) −2.30795 + 0.923965i −0.0883761 + 0.0353804i
\(683\) −32.8439 6.33015i −1.25674 0.242217i −0.482943 0.875652i \(-0.660432\pi\)
−0.773796 + 0.633435i \(0.781644\pi\)
\(684\) −0.182718 0.256592i −0.00698641 0.00981104i
\(685\) 34.2106 + 10.0452i 1.30712 + 0.383806i
\(686\) −3.39039 2.02772i −0.129446 0.0774188i
\(687\) −0.667239 4.64075i −0.0254567 0.177056i
\(688\) 24.6993 12.7334i 0.941651 0.485455i
\(689\) 8.17934 + 14.1670i 0.311608 + 0.539721i
\(690\) −1.18178 + 3.04241i −0.0449897 + 0.115823i
\(691\) 2.01075 3.48271i 0.0764924 0.132489i −0.825242 0.564779i \(-0.808961\pi\)
0.901734 + 0.432291i \(0.142295\pi\)
\(692\) 15.0499 + 9.67201i 0.572113 + 0.367674i
\(693\) −0.0169758 + 3.30519i −0.000644856 + 0.125554i
\(694\) −0.000959188 0.00210033i −3.64103e−5 7.97274e-5i
\(695\) −3.26738 + 3.11544i −0.123939 + 0.118175i
\(696\) −0.950874 + 0.0907974i −0.0360428 + 0.00344167i
\(697\) 27.6405 + 5.32727i 1.04696 + 0.201785i
\(698\) 1.72667 + 1.35787i 0.0653554 + 0.0513961i
\(699\) 3.91989 1.15098i 0.148264 0.0435342i
\(700\) 26.7602 1.13703i 1.01144 0.0429755i
\(701\) 36.0071 23.1404i 1.35997 0.874000i 0.361671 0.932306i \(-0.382206\pi\)
0.998299 + 0.0583058i \(0.0185698\pi\)
\(702\) −0.0249091 0.522906i −0.000940133 0.0197358i
\(703\) −0.0380189 + 0.109848i −0.00143391 + 0.00414301i
\(704\) −6.26438 5.97308i −0.236098 0.225119i
\(705\) −10.8166 8.50624i −0.407375 0.320364i
\(706\) 2.99189 3.45283i 0.112601 0.129949i
\(707\) 13.9633 + 0.737054i 0.525146 + 0.0277198i
\(708\) 25.1183 + 7.37539i 0.944003 + 0.277184i
\(709\) −12.6970 1.21242i −0.476848 0.0455334i −0.146134 0.989265i \(-0.546683\pi\)
−0.330713 + 0.943731i \(0.607289\pi\)
\(710\) −3.46952 + 2.72846i −0.130209 + 0.102397i
\(711\) 0.162373 3.40862i 0.00608945 0.127833i
\(712\) −1.18767 + 2.05711i −0.0445098 + 0.0770933i
\(713\) 42.4296 + 14.1973i 1.58900 + 0.531693i
\(714\) 1.18775 + 3.01158i 0.0444503 + 0.112706i
\(715\) 8.22918 + 5.28858i 0.307754 + 0.197782i
\(716\) 34.5541 + 13.8334i 1.29135 + 0.516977i
\(717\) −0.422483 + 0.593295i −0.0157779 + 0.0221570i
\(718\) 0.838061 + 3.45453i 0.0312762 + 0.128922i
\(719\) 28.2584 + 39.6834i 1.05386 + 1.47994i 0.867485 + 0.497464i \(0.165735\pi\)
0.186377 + 0.982478i \(0.440325\pi\)
\(720\) −7.79140 + 8.99175i −0.290368 + 0.335103i
\(721\) 22.1639 + 23.4852i 0.825426 + 0.874633i
\(722\) −3.88334 + 1.14025i −0.144523 + 0.0424358i
\(723\) 23.4065 4.51124i 0.870498 0.167775i
\(724\) −42.6406 21.9828i −1.58473 0.816983i
\(725\) −5.21334 2.68767i −0.193619 0.0998174i
\(726\) 1.97709 0.381053i 0.0733766 0.0141422i
\(727\) 8.79817 2.58337i 0.326306 0.0958121i −0.114477 0.993426i \(-0.536519\pi\)
0.440783 + 0.897614i \(0.354701\pi\)
\(728\) 1.57007 5.24731i 0.0581906 0.194478i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 0.386034 + 0.542109i 0.0142878 + 0.0200644i
\(731\) 10.0778 + 41.5412i 0.372741 + 1.53646i
\(732\) −12.8724 + 18.0767i −0.475777 + 0.668136i
\(733\) −1.08215 0.433229i −0.0399703 0.0160017i 0.351591 0.936154i \(-0.385641\pi\)
−0.391561 + 0.920152i \(0.628065\pi\)
\(734\) −5.34593 3.43562i −0.197322 0.126811i
\(735\) 21.3634 + 6.51196i 0.788001 + 0.240197i
\(736\) −1.25372 11.8393i −0.0462127 0.436404i
\(737\) −5.78198 + 10.0147i −0.212982 + 0.368896i
\(738\) 0.0498054 1.04554i 0.00183336 0.0384870i
\(739\) 36.9821 29.0831i 1.36041 1.06984i 0.370395 0.928874i \(-0.379222\pi\)
0.990015 0.140964i \(-0.0450202\pi\)
\(740\) 4.47730 + 0.427530i 0.164589 + 0.0157163i
\(741\) −0.379515 0.111436i −0.0139418 0.00409369i
\(742\) −2.04998 + 3.15410i −0.0752572 + 0.115791i
\(743\) 4.14218 4.78033i 0.151962 0.175373i −0.674664 0.738125i \(-0.735712\pi\)
0.826626 + 0.562751i \(0.190257\pi\)
\(744\) −6.18582 4.86458i −0.226783 0.178344i
\(745\) 10.8232 + 10.3199i 0.396532 + 0.378093i
\(746\) −0.191319 + 0.552780i −0.00700468 + 0.0202387i
\(747\) 0.618642 + 12.9869i 0.0226349 + 0.475166i
\(748\) 11.7829 7.57238i 0.430824 0.276874i
\(749\) −20.5661 + 0.873841i −0.751469 + 0.0319294i
\(750\) 0.117282 0.0344372i 0.00428254 0.00125747i
\(751\) −40.0986 31.5339i −1.46322 1.15069i −0.957661 0.287897i \(-0.907044\pi\)
−0.505559 0.862792i \(-0.668714\pi\)
\(752\) 15.7926 + 3.04377i 0.575896 + 0.110995i
\(753\) −13.4169 + 1.28116i −0.488939 + 0.0466880i
\(754\) −0.429035 + 0.409084i −0.0156245 + 0.0148980i
\(755\) 17.4158 + 38.1353i 0.633826 + 1.38788i
\(756\) −4.49154 + 2.56253i −0.163356 + 0.0931982i
\(757\) 13.3870 + 8.60328i 0.486558 + 0.312692i 0.760820 0.648963i \(-0.224797\pi\)
−0.274262 + 0.961655i \(0.588434\pi\)
\(758\) −1.69479 + 2.93546i −0.0615576 + 0.106621i
\(759\) 5.21915 + 2.94201i 0.189443 + 0.106788i
\(760\) −0.216874 0.375636i −0.00786684 0.0136258i
\(761\) 31.0161 15.9899i 1.12433 0.579634i 0.207233 0.978292i \(-0.433554\pi\)
0.917100 + 0.398658i \(0.130524\pi\)
\(762\) 0.505183 + 3.51363i 0.0183009 + 0.127285i
\(763\) −7.23835 + 7.51371i −0.262046 + 0.272015i
\(764\) −32.3809 9.50789i −1.17150 0.343984i
\(765\) −10.6163 14.9084i −0.383832 0.539016i
\(766\) 5.61621 + 1.08244i 0.202922 + 0.0391100i
\(767\) 30.5172 12.2172i 1.10191 0.441139i
\(768\) 2.94296 12.1311i 0.106195 0.437742i
\(769\) 27.2836 + 31.4869i 0.983872 + 1.13545i 0.990781 + 0.135472i \(0.0432551\pi\)
−0.00690962 + 0.999976i \(0.502199\pi\)
\(770\) −0.225319 + 2.23811i −0.00811994 + 0.0806559i
\(771\) −16.5959 + 10.6655i −0.597685 + 0.384109i
\(772\) 43.3601 8.35697i