Properties

Label 475.2.bc.a.6.6
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.6
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.91392 - 1.19595i) q^{2} +(-2.99079 + 0.857597i) q^{3} +(1.35606 + 2.78033i) q^{4} +(0.364394 - 2.20618i) q^{5} +(6.74979 + 1.93547i) q^{6} +(-1.35748 + 2.35123i) q^{7} +(0.257940 - 2.45413i) q^{8} +(5.66524 - 3.54003i) q^{9} +O(q^{10})\) \(q+(-1.91392 - 1.19595i) q^{2} +(-2.99079 + 0.857597i) q^{3} +(1.35606 + 2.78033i) q^{4} +(0.364394 - 2.20618i) q^{5} +(6.74979 + 1.93547i) q^{6} +(-1.35748 + 2.35123i) q^{7} +(0.257940 - 2.45413i) q^{8} +(5.66524 - 3.54003i) q^{9} +(-3.33590 + 3.78666i) q^{10} +(-0.206157 + 0.228961i) q^{11} +(-6.44009 - 7.15245i) q^{12} +(-0.225565 - 6.45934i) q^{13} +(5.41007 - 2.87659i) q^{14} +(0.802183 + 6.91073i) q^{15} +(0.380277 - 0.486732i) q^{16} +(1.39891 - 0.0978210i) q^{17} -15.0765 q^{18} +(-3.90664 - 1.93344i) q^{19} +(6.62804 - 1.97857i) q^{20} +(2.04355 - 8.19621i) q^{21} +(0.668396 - 0.191659i) q^{22} +(6.04246 - 0.849213i) q^{23} +(1.33321 + 7.56101i) q^{24} +(-4.73443 - 1.60783i) q^{25} +(-7.29335 + 12.6325i) q^{26} +(-7.66200 + 8.50951i) q^{27} +(-8.37801 - 0.585848i) q^{28} +(6.50372 + 0.454785i) q^{29} +(6.72958 - 14.1860i) q^{30} +(-7.52579 + 3.35070i) q^{31} +(-5.94759 + 2.16475i) q^{32} +(0.420218 - 0.861575i) q^{33} +(-2.79439 - 1.48580i) q^{34} +(4.69257 + 3.85162i) q^{35} +(17.5248 + 10.9507i) q^{36} +(-2.30510 + 7.09438i) q^{37} +(5.16470 + 8.37260i) q^{38} +(6.21413 + 19.1251i) q^{39} +(-5.32026 - 1.46333i) q^{40} +(-2.87162 + 3.67551i) q^{41} +(-13.7135 + 13.2429i) q^{42} +(0.355925 + 2.01855i) q^{43} +(-0.916149 - 0.262701i) q^{44} +(-5.74556 - 13.7885i) q^{45} +(-12.5804 - 5.60117i) q^{46} +(-2.84068 - 0.198640i) q^{47} +(-0.719910 + 1.78184i) q^{48} +(-0.185515 - 0.321322i) q^{49} +(7.13845 + 8.73942i) q^{50} +(-4.09995 + 1.49226i) q^{51} +(17.6532 - 9.38639i) q^{52} +(0.0893570 + 0.183209i) q^{53} +(24.8414 - 7.12317i) q^{54} +(0.430006 + 0.538252i) q^{55} +(5.42007 + 3.93791i) q^{56} +(13.3421 + 2.43221i) q^{57} +(-11.9037 - 8.64856i) q^{58} +(-2.93115 - 7.25486i) q^{59} +(-18.1263 + 11.6017i) q^{60} +(-8.94565 + 1.25723i) q^{61} +(18.4110 + 2.58750i) q^{62} +(0.632967 + 18.1258i) q^{63} +(12.7638 + 2.71303i) q^{64} +(-14.3327 - 1.85611i) q^{65} +(-1.83467 + 1.14643i) q^{66} +(-3.07243 - 12.3228i) q^{67} +(2.16897 + 3.75677i) q^{68} +(-17.3435 + 7.72182i) q^{69} +(-4.37486 - 12.9838i) q^{70} +(1.75556 + 1.69533i) q^{71} +(-7.22642 - 14.8163i) q^{72} +(-0.237857 + 6.81133i) q^{73} +(12.8963 - 10.8213i) q^{74} +(15.5386 + 0.748466i) q^{75} +(0.0779797 - 13.4836i) q^{76} +(-0.258485 - 0.795534i) q^{77} +(10.9794 - 44.0358i) q^{78} +(-6.62551 + 1.89983i) q^{79} +(-0.935247 - 1.01632i) q^{80} +(6.83235 - 14.0084i) q^{81} +(9.89180 - 3.60032i) q^{82} +(-0.932746 + 0.415285i) q^{83} +(25.5593 - 5.43281i) q^{84} +(0.293942 - 3.12188i) q^{85} +(1.73288 - 4.28902i) q^{86} +(-19.8413 + 4.21740i) q^{87} +(0.508724 + 0.564996i) q^{88} +(1.24524 + 1.59383i) q^{89} +(-5.49379 + 33.2615i) q^{90} +(15.4936 + 8.23809i) q^{91} +(10.5550 + 15.6485i) q^{92} +(19.6345 - 16.4753i) q^{93} +(5.19927 + 3.77749i) q^{94} +(-5.68907 + 7.91420i) q^{95} +(15.9315 - 11.5749i) q^{96} +(-2.54738 + 10.2170i) q^{97} +(-0.0292235 + 0.836853i) q^{98} +(-0.357401 + 2.02692i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91392 1.19595i −1.35335 0.845666i −0.357257 0.934006i \(-0.616288\pi\)
−0.996090 + 0.0883404i \(0.971844\pi\)
\(3\) −2.99079 + 0.857597i −1.72674 + 0.495134i −0.984556 0.175067i \(-0.943986\pi\)
−0.742180 + 0.670201i \(0.766208\pi\)
\(4\) 1.35606 + 2.78033i 0.678029 + 1.39017i
\(5\) 0.364394 2.20618i 0.162962 0.986632i
\(6\) 6.74979 + 1.93547i 2.75559 + 0.790153i
\(7\) −1.35748 + 2.35123i −0.513080 + 0.888681i 0.486805 + 0.873511i \(0.338162\pi\)
−0.999885 + 0.0151699i \(0.995171\pi\)
\(8\) 0.257940 2.45413i 0.0911954 0.867666i
\(9\) 5.66524 3.54003i 1.88841 1.18001i
\(10\) −3.33590 + 3.78666i −1.05490 + 1.19745i
\(11\) −0.206157 + 0.228961i −0.0621588 + 0.0690344i −0.773422 0.633891i \(-0.781457\pi\)
0.711263 + 0.702926i \(0.248123\pi\)
\(12\) −6.44009 7.15245i −1.85909 2.06473i
\(13\) −0.225565 6.45934i −0.0625605 1.79150i −0.474467 0.880273i \(-0.657359\pi\)
0.411906 0.911226i \(-0.364863\pi\)
\(14\) 5.41007 2.87659i 1.44590 0.768800i
\(15\) 0.802183 + 6.91073i 0.207123 + 1.78434i
\(16\) 0.380277 0.486732i 0.0950692 0.121683i
\(17\) 1.39891 0.0978210i 0.339284 0.0237251i 0.100902 0.994896i \(-0.467827\pi\)
0.238383 + 0.971171i \(0.423383\pi\)
\(18\) −15.0765 −3.55357
\(19\) −3.90664 1.93344i −0.896244 0.443562i
\(20\) 6.62804 1.97857i 1.48207 0.442421i
\(21\) 2.04355 8.19621i 0.445938 1.78856i
\(22\) 0.668396 0.191659i 0.142502 0.0408619i
\(23\) 6.04246 0.849213i 1.25994 0.177073i 0.522591 0.852584i \(-0.324966\pi\)
0.737350 + 0.675511i \(0.236077\pi\)
\(24\) 1.33321 + 7.56101i 0.272140 + 1.54338i
\(25\) −4.73443 1.60783i −0.946887 0.321567i
\(26\) −7.29335 + 12.6325i −1.43034 + 2.47743i
\(27\) −7.66200 + 8.50951i −1.47455 + 1.63766i
\(28\) −8.37801 0.585848i −1.58330 0.110715i
\(29\) 6.50372 + 0.454785i 1.20771 + 0.0844514i 0.659380 0.751810i \(-0.270819\pi\)
0.548331 + 0.836261i \(0.315263\pi\)
\(30\) 6.72958 14.1860i 1.22865 2.58999i
\(31\) −7.52579 + 3.35070i −1.35167 + 0.601803i −0.949502 0.313762i \(-0.898410\pi\)
−0.402170 + 0.915565i \(0.631744\pi\)
\(32\) −5.94759 + 2.16475i −1.05140 + 0.382677i
\(33\) 0.420218 0.861575i 0.0731506 0.149981i
\(34\) −2.79439 1.48580i −0.479233 0.254813i
\(35\) 4.69257 + 3.85162i 0.793189 + 0.651042i
\(36\) 17.5248 + 10.9507i 2.92081 + 1.82512i
\(37\) −2.30510 + 7.09438i −0.378956 + 1.16631i 0.561814 + 0.827264i \(0.310104\pi\)
−0.940770 + 0.339044i \(0.889896\pi\)
\(38\) 5.16470 + 8.37260i 0.837825 + 1.35822i
\(39\) 6.21413 + 19.1251i 0.995057 + 3.06247i
\(40\) −5.32026 1.46333i −0.841206 0.231373i
\(41\) −2.87162 + 3.67551i −0.448472 + 0.574018i −0.958121 0.286364i \(-0.907553\pi\)
0.509648 + 0.860383i \(0.329775\pi\)
\(42\) −13.7135 + 13.2429i −2.11603 + 2.04343i
\(43\) 0.355925 + 2.01855i 0.0542781 + 0.307826i 0.999845 0.0176012i \(-0.00560291\pi\)
−0.945567 + 0.325427i \(0.894492\pi\)
\(44\) −0.916149 0.262701i −0.138115 0.0396037i
\(45\) −5.74556 13.7885i −0.856498 2.05547i
\(46\) −12.5804 5.60117i −1.85488 0.825847i
\(47\) −2.84068 0.198640i −0.414355 0.0289746i −0.138942 0.990300i \(-0.544370\pi\)
−0.275413 + 0.961326i \(0.588815\pi\)
\(48\) −0.719910 + 1.78184i −0.103910 + 0.257187i
\(49\) −0.185515 0.321322i −0.0265022 0.0459031i
\(50\) 7.13845 + 8.73942i 1.00953 + 1.23594i
\(51\) −4.09995 + 1.49226i −0.574107 + 0.208958i
\(52\) 17.6532 9.38639i 2.44806 1.30166i
\(53\) 0.0893570 + 0.183209i 0.0122741 + 0.0251657i 0.904843 0.425745i \(-0.139988\pi\)
−0.892569 + 0.450911i \(0.851099\pi\)
\(54\) 24.8414 7.12317i 3.38049 0.969340i
\(55\) 0.430006 + 0.538252i 0.0579820 + 0.0725779i
\(56\) 5.42007 + 3.93791i 0.724288 + 0.526226i
\(57\) 13.3421 + 2.43221i 1.76720 + 0.322154i
\(58\) −11.9037 8.64856i −1.56304 1.13561i
\(59\) −2.93115 7.25486i −0.381604 0.944502i −0.988705 0.149877i \(-0.952112\pi\)
0.607101 0.794625i \(-0.292332\pi\)
\(60\) −18.1263 + 11.6017i −2.34009 + 1.49777i
\(61\) −8.94565 + 1.25723i −1.14537 + 0.160972i −0.686226 0.727389i \(-0.740734\pi\)
−0.459147 + 0.888360i \(0.651845\pi\)
\(62\) 18.4110 + 2.58750i 2.33821 + 0.328613i
\(63\) 0.632967 + 18.1258i 0.0797463 + 2.28364i
\(64\) 12.7638 + 2.71303i 1.59548 + 0.339129i
\(65\) −14.3327 1.85611i −1.77775 0.230222i
\(66\) −1.83467 + 1.14643i −0.225832 + 0.141116i
\(67\) −3.07243 12.3228i −0.375357 1.50547i −0.799938 0.600083i \(-0.795134\pi\)
0.424581 0.905390i \(-0.360421\pi\)
\(68\) 2.16897 + 3.75677i 0.263026 + 0.455575i
\(69\) −17.3435 + 7.72182i −2.08791 + 0.929598i
\(70\) −4.37486 12.9838i −0.522896 1.55186i
\(71\) 1.75556 + 1.69533i 0.208347 + 0.201198i 0.791509 0.611157i \(-0.209296\pi\)
−0.583162 + 0.812356i \(0.698185\pi\)
\(72\) −7.22642 14.8163i −0.851641 1.74612i
\(73\) −0.237857 + 6.81133i −0.0278391 + 0.797206i 0.902540 + 0.430607i \(0.141700\pi\)
−0.930379 + 0.366600i \(0.880522\pi\)
\(74\) 12.8963 10.8213i 1.49917 1.25795i
\(75\) 15.5386 + 0.748466i 1.79424 + 0.0864254i
\(76\) 0.0779797 13.4836i 0.00894488 1.54667i
\(77\) −0.258485 0.795534i −0.0294571 0.0906595i
\(78\) 10.9794 44.0358i 1.24317 4.98607i
\(79\) −6.62551 + 1.89983i −0.745428 + 0.213748i −0.626789 0.779189i \(-0.715631\pi\)
−0.118639 + 0.992937i \(0.537853\pi\)
\(80\) −0.935247 1.01632i −0.104564 0.113628i
\(81\) 6.83235 14.0084i 0.759150 1.55649i
\(82\) 9.89180 3.60032i 1.09237 0.397589i
\(83\) −0.932746 + 0.415285i −0.102382 + 0.0455835i −0.457289 0.889318i \(-0.651179\pi\)
0.354906 + 0.934902i \(0.384513\pi\)
\(84\) 25.5593 5.43281i 2.78875 0.592768i
\(85\) 0.293942 3.12188i 0.0318825 0.338615i
\(86\) 1.73288 4.28902i 0.186861 0.462497i
\(87\) −19.8413 + 4.21740i −2.12721 + 0.452153i
\(88\) 0.508724 + 0.564996i 0.0542302 + 0.0602287i
\(89\) 1.24524 + 1.59383i 0.131995 + 0.168946i 0.849468 0.527641i \(-0.176923\pi\)
−0.717472 + 0.696587i \(0.754701\pi\)
\(90\) −5.49379 + 33.2615i −0.579097 + 3.50607i
\(91\) 15.4936 + 8.23809i 1.62417 + 0.863586i
\(92\) 10.5550 + 15.6485i 1.10044 + 1.63147i
\(93\) 19.6345 16.4753i 2.03601 1.70841i
\(94\) 5.19927 + 3.77749i 0.536264 + 0.389619i
\(95\) −5.68907 + 7.91420i −0.583686 + 0.811980i
\(96\) 15.9315 11.5749i 1.62601 1.18136i
\(97\) −2.54738 + 10.2170i −0.258647 + 1.03738i 0.690698 + 0.723143i \(0.257303\pi\)
−0.949346 + 0.314234i \(0.898252\pi\)
\(98\) −0.0292235 + 0.836853i −0.00295202 + 0.0845349i
\(99\) −0.357401 + 2.02692i −0.0359202 + 0.203713i
\(100\) −1.94986 15.3436i −0.194986 1.53436i
\(101\) −12.3471 + 4.49396i −1.22858 + 0.447166i −0.873110 0.487522i \(-0.837901\pi\)
−0.355468 + 0.934688i \(0.615678\pi\)
\(102\) 9.63165 + 2.04727i 0.953676 + 0.202710i
\(103\) −9.17536 4.08513i −0.904075 0.402520i −0.0985843 0.995129i \(-0.531431\pi\)
−0.805491 + 0.592609i \(0.798098\pi\)
\(104\) −15.9103 1.11255i −1.56013 0.109095i
\(105\) −17.3376 7.49507i −1.69198 0.731444i
\(106\) 0.0480867 0.457514i 0.00467059 0.0444377i
\(107\) −4.68586 + 8.11615i −0.452999 + 0.784617i −0.998571 0.0534467i \(-0.982979\pi\)
0.545572 + 0.838064i \(0.316313\pi\)
\(108\) −34.0494 9.76350i −3.27640 0.939493i
\(109\) −3.00953 0.422961i −0.288260 0.0405124i −0.00643912 0.999979i \(-0.502050\pi\)
−0.281821 + 0.959467i \(0.590939\pi\)
\(110\) −0.179275 1.54444i −0.0170932 0.147256i
\(111\) 0.809976 23.1947i 0.0768795 2.20154i
\(112\) 0.628199 + 1.55485i 0.0593593 + 0.146919i
\(113\) 2.79345 8.59735i 0.262785 0.808770i −0.729410 0.684077i \(-0.760205\pi\)
0.992195 0.124693i \(-0.0397948\pi\)
\(114\) −22.6269 20.6115i −2.11920 1.93045i
\(115\) 0.328321 13.6402i 0.0306161 1.27195i
\(116\) 7.55497 + 18.6992i 0.701462 + 1.73618i
\(117\) −24.1442 35.7952i −2.23213 3.30927i
\(118\) −3.06646 + 17.3908i −0.282290 + 1.60095i
\(119\) −1.66899 + 3.42194i −0.152996 + 0.313688i
\(120\) 17.1667 0.186114i 1.56710 0.0169898i
\(121\) 1.13989 + 10.8453i 0.103626 + 0.985940i
\(122\) 18.6249 + 8.29232i 1.68622 + 0.750752i
\(123\) 5.43633 13.4554i 0.490178 1.21323i
\(124\) −19.5214 16.3804i −1.75308 1.47101i
\(125\) −5.27236 + 9.85912i −0.471575 + 0.881826i
\(126\) 20.4661 35.4484i 1.82327 3.15799i
\(127\) 2.92777 + 3.74738i 0.259798 + 0.332526i 0.900170 0.435539i \(-0.143442\pi\)
−0.640372 + 0.768065i \(0.721220\pi\)
\(128\) −12.0785 11.6640i −1.06760 1.03097i
\(129\) −2.79560 5.73183i −0.246139 0.504660i
\(130\) 25.2118 + 20.6936i 2.21122 + 1.81495i
\(131\) −5.82118 + 0.407057i −0.508599 + 0.0355647i −0.321751 0.946824i \(-0.604272\pi\)
−0.186848 + 0.982389i \(0.559827\pi\)
\(132\) 2.96531 0.258097
\(133\) 9.84915 6.56078i 0.854030 0.568892i
\(134\) −8.85712 + 27.2594i −0.765139 + 2.35485i
\(135\) 15.9815 + 20.0045i 1.37547 + 1.72172i
\(136\) 0.120767 3.45833i 0.0103557 0.296549i
\(137\) −13.0182 6.92192i −1.11222 0.591380i −0.191460 0.981500i \(-0.561322\pi\)
−0.920764 + 0.390121i \(0.872433\pi\)
\(138\) 42.4290 + 5.96301i 3.61180 + 0.507605i
\(139\) −4.48173 5.73635i −0.380135 0.486551i 0.559451 0.828863i \(-0.311012\pi\)
−0.939586 + 0.342313i \(0.888790\pi\)
\(140\) −4.34538 + 18.2699i −0.367252 + 1.54409i
\(141\) 8.66624 1.84207i 0.729829 0.155130i
\(142\) −1.33248 5.34430i −0.111819 0.448483i
\(143\) 1.52544 + 1.28000i 0.127564 + 0.107039i
\(144\) 0.431311 4.10365i 0.0359426 0.341971i
\(145\) 3.37325 14.1826i 0.280133 1.17780i
\(146\) 8.60127 12.7519i 0.711846 1.05535i
\(147\) 0.830403 + 0.801911i 0.0684905 + 0.0661405i
\(148\) −22.8506 + 3.21144i −1.87830 + 0.263978i
\(149\) −2.84985 1.03726i −0.233468 0.0849756i 0.222637 0.974902i \(-0.428534\pi\)
−0.456105 + 0.889926i \(0.650756\pi\)
\(150\) −28.8445 20.0159i −2.35515 1.63429i
\(151\) 7.28033 0.592465 0.296233 0.955116i \(-0.404270\pi\)
0.296233 + 0.955116i \(0.404270\pi\)
\(152\) −5.75259 + 9.08869i −0.466597 + 0.737190i
\(153\) 7.57884 5.50635i 0.612713 0.445162i
\(154\) −0.456700 + 1.83173i −0.0368020 + 0.147605i
\(155\) 4.64988 + 17.8242i 0.373487 + 1.43167i
\(156\) −44.7475 + 43.2121i −3.58266 + 3.45974i
\(157\) 2.21810 + 12.5795i 0.177024 + 1.00395i 0.935782 + 0.352579i \(0.114695\pi\)
−0.758758 + 0.651373i \(0.774194\pi\)
\(158\) 14.9528 + 4.28765i 1.18958 + 0.341107i
\(159\) −0.424368 0.471308i −0.0336545 0.0373772i
\(160\) 2.60855 + 13.9103i 0.206224 + 1.09970i
\(161\) −6.20584 + 15.3600i −0.489089 + 1.21054i
\(162\) −29.8299 + 18.6398i −2.34366 + 1.46448i
\(163\) 10.3043 2.19025i 0.807096 0.171554i 0.214155 0.976800i \(-0.431300\pi\)
0.592941 + 0.805246i \(0.297967\pi\)
\(164\) −14.1132 2.99986i −1.10206 0.234250i
\(165\) −1.74766 1.24103i −0.136055 0.0966140i
\(166\) 2.28187 + 0.320695i 0.177107 + 0.0248908i
\(167\) 2.27206 2.19410i 0.175817 0.169785i −0.601543 0.798840i \(-0.705447\pi\)
0.777360 + 0.629056i \(0.216558\pi\)
\(168\) −19.5875 7.12926i −1.51121 0.550034i
\(169\) −28.7039 + 2.00717i −2.20799 + 0.154398i
\(170\) −4.29620 + 5.62349i −0.329503 + 0.431302i
\(171\) −28.9765 + 2.87622i −2.21589 + 0.219950i
\(172\) −5.12959 + 3.72686i −0.391127 + 0.284171i
\(173\) 9.97807 + 6.23499i 0.758619 + 0.474038i 0.853268 0.521473i \(-0.174617\pi\)
−0.0946490 + 0.995511i \(0.530173\pi\)
\(174\) 43.0186 + 15.6575i 3.26123 + 1.18699i
\(175\) 10.2073 8.94913i 0.771599 0.676491i
\(176\) 0.0330458 + 0.187412i 0.00249092 + 0.0141267i
\(177\) 14.9882 + 19.1840i 1.12658 + 1.44196i
\(178\) −0.477144 4.53972i −0.0357635 0.340267i
\(179\) 0.209695 + 0.0933625i 0.0156734 + 0.00697824i 0.414558 0.910023i \(-0.363936\pi\)
−0.398885 + 0.917001i \(0.630603\pi\)
\(180\) 30.5452 34.6725i 2.27671 2.58434i
\(181\) 5.18657 + 20.8022i 0.385514 + 1.54621i 0.779084 + 0.626919i \(0.215684\pi\)
−0.393570 + 0.919295i \(0.628760\pi\)
\(182\) −19.8012 34.2967i −1.46776 2.54224i
\(183\) 25.6764 11.4319i 1.89805 0.845068i
\(184\) −0.525489 15.0480i −0.0387396 1.10936i
\(185\) 14.8115 + 7.67061i 1.08896 + 0.563954i
\(186\) −57.2827 + 8.05056i −4.20017 + 0.590296i
\(187\) −0.265998 + 0.340461i −0.0194517 + 0.0248970i
\(188\) −3.29984 8.16739i −0.240666 0.595668i
\(189\) −9.60677 29.5666i −0.698790 2.15065i
\(190\) 20.3534 8.34332i 1.47659 0.605288i
\(191\) −0.953673 + 2.93510i −0.0690053 + 0.212377i −0.979612 0.200896i \(-0.935615\pi\)
0.910607 + 0.413273i \(0.135615\pi\)
\(192\) −40.5006 + 2.83208i −2.92288 + 0.204388i
\(193\) −0.947931 0.345019i −0.0682336 0.0248350i 0.307678 0.951491i \(-0.400448\pi\)
−0.375911 + 0.926656i \(0.622670\pi\)
\(194\) 17.0945 16.5080i 1.22731 1.18520i
\(195\) 44.4578 6.74040i 3.18369 0.482690i
\(196\) 0.641812 0.951525i 0.0458437 0.0679661i
\(197\) −2.63586 25.0786i −0.187798 1.78677i −0.530858 0.847461i \(-0.678130\pi\)
0.343060 0.939313i \(-0.388537\pi\)
\(198\) 3.10814 3.45194i 0.220886 0.245319i
\(199\) −3.57338 2.99842i −0.253310 0.212552i 0.507286 0.861778i \(-0.330649\pi\)
−0.760596 + 0.649225i \(0.775093\pi\)
\(200\) −5.16703 + 11.2042i −0.365364 + 0.792257i
\(201\) 19.7570 + 34.2201i 1.39355 + 2.41370i
\(202\) 29.0059 + 6.16539i 2.04085 + 0.433795i
\(203\) −9.89799 + 14.6744i −0.694703 + 1.02994i
\(204\) −9.70874 9.37562i −0.679748 0.656425i
\(205\) 7.06243 + 7.67464i 0.493261 + 0.536020i
\(206\) 12.6753 + 18.7919i 0.883130 + 1.30929i
\(207\) 31.2257 26.2015i 2.17034 1.82113i
\(208\) −3.22975 2.34655i −0.223943 0.162704i
\(209\) 1.24806 0.495874i 0.0863305 0.0343003i
\(210\) 24.2192 + 35.0800i 1.67128 + 2.42075i
\(211\) 12.4231 + 7.76283i 0.855243 + 0.534415i 0.885240 0.465135i \(-0.153994\pi\)
−0.0299969 + 0.999550i \(0.509550\pi\)
\(212\) −0.388208 + 0.496884i −0.0266622 + 0.0341261i
\(213\) −6.70444 3.56481i −0.459381 0.244257i
\(214\) 18.6749 9.92962i 1.27659 0.678775i
\(215\) 4.58298 0.0496865i 0.312557 0.00338859i
\(216\) 18.9071 + 20.9985i 1.28647 + 1.42877i
\(217\) 2.33787 22.2434i 0.158705 1.50998i
\(218\) 5.25416 + 4.40876i 0.355857 + 0.298599i
\(219\) −5.12999 20.5753i −0.346653 1.39035i
\(220\) −0.913405 + 1.92546i −0.0615817 + 0.129814i
\(221\) −0.947404 9.01394i −0.0637293 0.606343i
\(222\) −29.2899 + 43.4241i −1.96581 + 2.91444i
\(223\) −11.0689 + 5.88546i −0.741231 + 0.394120i −0.796727 0.604339i \(-0.793437\pi\)
0.0554959 + 0.998459i \(0.482326\pi\)
\(224\) 2.98394 16.9228i 0.199373 1.13070i
\(225\) −32.5135 + 7.65129i −2.16757 + 0.510086i
\(226\) −15.6285 + 13.1138i −1.03959 + 0.872319i
\(227\) 7.84542 + 24.1457i 0.520719 + 1.60261i 0.772630 + 0.634857i \(0.218941\pi\)
−0.251911 + 0.967750i \(0.581059\pi\)
\(228\) 11.3303 + 40.3935i 0.750365 + 2.67513i
\(229\) 14.8315 10.7757i 0.980093 0.712079i 0.0223636 0.999750i \(-0.492881\pi\)
0.957729 + 0.287671i \(0.0928808\pi\)
\(230\) −16.9414 + 25.7136i −1.11708 + 1.69551i
\(231\) 1.45532 + 2.15760i 0.0957531 + 0.141960i
\(232\) 2.79367 15.8437i 0.183413 1.04019i
\(233\) −6.45353 + 13.2317i −0.422785 + 0.866838i 0.575995 + 0.817453i \(0.304615\pi\)
−0.998780 + 0.0493845i \(0.984274\pi\)
\(234\) 3.40074 + 97.3845i 0.222313 + 6.36622i
\(235\) −1.47336 + 6.19465i −0.0961113 + 0.404095i
\(236\) 16.1961 17.9876i 1.05428 1.17089i
\(237\) 18.1862 11.3640i 1.18132 0.738173i
\(238\) 7.28679 4.55329i 0.472332 0.295146i
\(239\) −10.2674 + 11.4031i −0.664144 + 0.737607i −0.977245 0.212113i \(-0.931966\pi\)
0.313101 + 0.949720i \(0.398632\pi\)
\(240\) 3.66872 + 2.23754i 0.236815 + 0.144433i
\(241\) −0.256821 7.35439i −0.0165433 0.473738i −0.979186 0.202964i \(-0.934943\pi\)
0.962643 0.270774i \(-0.0872797\pi\)
\(242\) 10.7888 22.1204i 0.693533 1.42195i
\(243\) −2.45544 + 13.9255i −0.157516 + 0.893320i
\(244\) −15.6263 23.1670i −1.00037 1.48311i
\(245\) −0.776494 + 0.292192i −0.0496084 + 0.0186675i
\(246\) −26.4967 + 19.2510i −1.68937 + 1.22740i
\(247\) −11.6076 + 25.6704i −0.738571 + 1.63337i
\(248\) 6.28185 + 19.3335i 0.398898 + 1.22768i
\(249\) 2.43350 2.04195i 0.154217 0.129404i
\(250\) 21.8819 12.5641i 1.38393 0.794623i
\(251\) 4.52093 25.6395i 0.285359 1.61835i −0.418643 0.908151i \(-0.637494\pi\)
0.704001 0.710199i \(-0.251395\pi\)
\(252\) −49.5374 + 26.3395i −3.12056 + 1.65923i
\(253\) −1.05126 + 1.55856i −0.0660923 + 0.0979859i
\(254\) −1.12185 10.6737i −0.0703909 0.669725i
\(255\) 1.79819 + 9.58898i 0.112607 + 0.600485i
\(256\) 2.85397 + 11.4466i 0.178373 + 0.715415i
\(257\) 20.3616 + 17.0854i 1.27012 + 1.06576i 0.994526 + 0.104488i \(0.0333203\pi\)
0.275598 + 0.961273i \(0.411124\pi\)
\(258\) −1.50443 + 14.3137i −0.0936617 + 0.891132i
\(259\) −13.5514 15.0503i −0.842040 0.935181i
\(260\) −14.2753 42.3665i −0.885317 2.62746i
\(261\) 38.4551 20.4469i 2.38031 1.26563i
\(262\) 11.6281 + 6.18278i 0.718387 + 0.381973i
\(263\) 10.9229 13.9807i 0.673536 0.862087i −0.322900 0.946433i \(-0.604658\pi\)
0.996437 + 0.0843458i \(0.0268801\pi\)
\(264\) −2.00603 1.25351i −0.123463 0.0771479i
\(265\) 0.436752 0.130377i 0.0268295 0.00800900i
\(266\) −26.6969 + 0.777723i −1.63689 + 0.0476852i
\(267\) −5.09112 3.69892i −0.311572 0.226370i
\(268\) 30.0951 25.2528i 1.83835 1.54256i
\(269\) −5.87740 8.71361i −0.358352 0.531278i 0.606152 0.795349i \(-0.292712\pi\)
−0.964503 + 0.264071i \(0.914935\pi\)
\(270\) −6.66291 57.4002i −0.405492 3.49327i
\(271\) −7.08126 6.83829i −0.430156 0.415396i 0.447804 0.894132i \(-0.352206\pi\)
−0.877959 + 0.478736i \(0.841095\pi\)
\(272\) 0.484359 0.718091i 0.0293686 0.0435407i
\(273\) −53.4031 11.3512i −3.23210 0.687005i
\(274\) 16.6376 + 28.8172i 1.00512 + 1.74091i
\(275\) 1.34417 0.752534i 0.0810565 0.0453795i
\(276\) −44.9880 37.7494i −2.70796 2.27225i
\(277\) −13.3512 + 14.8280i −0.802193 + 0.890926i −0.995930 0.0901277i \(-0.971272\pi\)
0.193737 + 0.981054i \(0.437939\pi\)
\(278\) 1.71728 + 16.3389i 0.102996 + 0.979939i
\(279\) −30.7738 + 45.6240i −1.84238 + 2.73144i
\(280\) 10.6628 10.5227i 0.637223 0.628851i
\(281\) 5.67634 5.48158i 0.338622 0.327003i −0.505832 0.862632i \(-0.668814\pi\)
0.844453 + 0.535629i \(0.179925\pi\)
\(282\) −18.7895 6.83883i −1.11890 0.407246i
\(283\) −22.1321 + 1.54763i −1.31562 + 0.0919969i −0.710250 0.703949i \(-0.751418\pi\)
−0.605367 + 0.795946i \(0.706974\pi\)
\(284\) −2.33293 + 7.18001i −0.138434 + 0.426055i
\(285\) 10.2276 28.5487i 0.605833 1.69108i
\(286\) −1.38876 4.27417i −0.0821192 0.252737i
\(287\) −4.74379 11.7413i −0.280017 0.693066i
\(288\) −26.0312 + 33.3185i −1.53391 + 1.96331i
\(289\) −14.8872 + 2.09226i −0.875717 + 0.123074i
\(290\) −23.4179 + 23.1102i −1.37515 + 1.35708i
\(291\) −1.14336 32.7415i −0.0670249 1.91934i
\(292\) −19.2603 + 8.57524i −1.12712 + 0.501828i
\(293\) 0.108521 + 0.187964i 0.00633986 + 0.0109810i 0.869178 0.494499i \(-0.164649\pi\)
−0.862838 + 0.505480i \(0.831315\pi\)
\(294\) −0.630281 2.52792i −0.0367587 0.147431i
\(295\) −17.0736 + 3.82302i −0.994063 + 0.222585i
\(296\) 16.8160 + 7.48694i 0.977407 + 0.435170i
\(297\) −0.368769 3.50860i −0.0213981 0.203590i
\(298\) 4.21387 + 5.39351i 0.244103 + 0.312438i
\(299\) −6.84833 38.8388i −0.396049 2.24611i
\(300\) 18.9902 + 44.2174i 1.09640 + 2.55289i
\(301\) −5.22924 1.90329i −0.301408 0.109704i
\(302\) −13.9340 8.70693i −0.801811 0.501027i
\(303\) 33.0735 24.0293i 1.90002 1.38045i
\(304\) −2.42667 + 1.16624i −0.139179 + 0.0668886i
\(305\) −0.486067 + 20.1938i −0.0278321 + 1.15629i
\(306\) −21.0906 + 1.47480i −1.20567 + 0.0843088i
\(307\) −13.5294 4.92430i −0.772163 0.281044i −0.0742624 0.997239i \(-0.523660\pi\)
−0.697901 + 0.716194i \(0.745882\pi\)
\(308\) 1.86133 1.79746i 0.106059 0.102420i
\(309\) 30.9450 + 4.34904i 1.76040 + 0.247408i
\(310\) 12.4174 39.6752i 0.705259 2.25340i
\(311\) 6.25736 + 1.33004i 0.354822 + 0.0754198i 0.381874 0.924214i \(-0.375279\pi\)
−0.0270522 + 0.999634i \(0.508612\pi\)
\(312\) 48.5384 10.3172i 2.74795 0.584094i
\(313\) −10.3622 + 6.47505i −0.585709 + 0.365992i −0.790174 0.612882i \(-0.790010\pi\)
0.204465 + 0.978874i \(0.434454\pi\)
\(314\) 10.7992 26.7289i 0.609433 1.50840i
\(315\) 40.2194 + 5.20849i 2.26610 + 0.293465i
\(316\) −14.2667 15.8448i −0.802567 0.891341i
\(317\) −25.7256 7.37668i −1.44489 0.414316i −0.540617 0.841269i \(-0.681809\pi\)
−0.904274 + 0.426953i \(0.859587\pi\)
\(318\) 0.248545 + 1.40957i 0.0139377 + 0.0790448i
\(319\) −1.44492 + 1.39534i −0.0808999 + 0.0781242i
\(320\) 10.6365 27.1706i 0.594598 1.51888i
\(321\) 7.05406 28.2923i 0.393719 1.57912i
\(322\) 30.2473 21.9760i 1.68562 1.22467i
\(323\) −5.65414 2.32255i −0.314605 0.129230i
\(324\) 48.2130 2.67850
\(325\) −9.31763 + 30.9440i −0.516849 + 1.71646i
\(326\) −22.3411 8.13149i −1.23736 0.450362i
\(327\) 9.36361 1.31597i 0.517809 0.0727733i
\(328\) 8.27948 + 7.99540i 0.457158 + 0.441472i
\(329\) 4.32322 6.40943i 0.238347 0.353363i
\(330\) 1.86068 + 4.46535i 0.102427 + 0.245810i
\(331\) −0.512119 + 4.87248i −0.0281486 + 0.267816i 0.971391 + 0.237485i \(0.0763229\pi\)
−0.999540 + 0.0303313i \(0.990344\pi\)
\(332\) −2.41949 2.03019i −0.132787 0.111421i
\(333\) 12.0554 + 48.3515i 0.660630 + 2.64964i
\(334\) −6.97259 + 1.48207i −0.381523 + 0.0810952i
\(335\) −28.3059 + 2.28796i −1.54652 + 0.125004i
\(336\) −3.21225 4.11149i −0.175242 0.224300i
\(337\) −11.0570 1.55396i −0.602314 0.0846497i −0.168576 0.985689i \(-0.553917\pi\)
−0.433738 + 0.901039i \(0.642806\pi\)
\(338\) 57.3375 + 30.4869i 3.11875 + 1.65827i
\(339\) −0.981572 + 28.1086i −0.0533117 + 1.52665i
\(340\) 9.07845 3.41619i 0.492348 0.185269i
\(341\) 0.784318 2.41388i 0.0424732 0.130719i
\(342\) 58.8985 + 29.1496i 3.18487 + 1.57623i
\(343\) −17.9974 −0.971769
\(344\) 5.04560 0.352823i 0.272040 0.0190229i
\(345\) 10.7158 + 41.0766i 0.576922 + 2.21149i
\(346\) −11.6405 23.8666i −0.625798 1.28308i
\(347\) 19.9249 + 19.2413i 1.06962 + 1.03292i 0.999373 + 0.0353954i \(0.0112690\pi\)
0.0702514 + 0.997529i \(0.477620\pi\)
\(348\) −38.6317 49.4464i −2.07088 2.65060i
\(349\) −6.66470 + 11.5436i −0.356753 + 0.617914i −0.987416 0.158142i \(-0.949450\pi\)
0.630663 + 0.776057i \(0.282783\pi\)
\(350\) −30.2387 + 4.92051i −1.61633 + 0.263012i
\(351\) 56.6941 + 47.5720i 3.02611 + 2.53921i
\(352\) 0.730498 1.80805i 0.0389357 0.0963692i
\(353\) −6.59440 2.93602i −0.350985 0.156268i 0.223669 0.974665i \(-0.428197\pi\)
−0.574654 + 0.818397i \(0.694863\pi\)
\(354\) −5.74310 54.6420i −0.305242 2.90419i
\(355\) 4.37991 3.25532i 0.232462 0.172774i
\(356\) −2.74277 + 5.62351i −0.145366 + 0.298045i
\(357\) 2.05696 11.6656i 0.108866 0.617410i
\(358\) −0.289684 0.429474i −0.0153103 0.0226984i
\(359\) 6.46103 + 15.9916i 0.341000 + 0.844005i 0.996081 + 0.0884463i \(0.0281902\pi\)
−0.655081 + 0.755559i \(0.727365\pi\)
\(360\) −35.3207 + 10.5438i −1.86157 + 0.555705i
\(361\) 11.5236 + 15.1065i 0.606506 + 0.795079i
\(362\) 14.9517 46.0167i 0.785845 2.41858i
\(363\) −12.7101 31.4586i −0.667107 1.65115i
\(364\) −1.89440 + 54.2486i −0.0992937 + 2.84340i
\(365\) 14.9403 + 3.00676i 0.782013 + 0.157381i
\(366\) −62.8146 8.82802i −3.28337 0.461448i
\(367\) −3.83038 1.09834i −0.199944 0.0573331i 0.174170 0.984716i \(-0.444276\pi\)
−0.374115 + 0.927382i \(0.622053\pi\)
\(368\) 1.88447 3.26400i 0.0982348 0.170148i
\(369\) −3.25700 + 30.9883i −0.169553 + 1.61319i
\(370\) −19.1744 32.3948i −0.996827 1.68412i
\(371\) −0.552066 0.0386042i −0.0286619 0.00200423i
\(372\) 72.4324 + 32.2490i 3.75545 + 1.67203i
\(373\) −0.0318555 0.00677111i −0.00164942 0.000350595i 0.207087 0.978323i \(-0.433602\pi\)
−0.208736 + 0.977972i \(0.566935\pi\)
\(374\) 0.916274 0.333497i 0.0473794 0.0172447i
\(375\) 7.31341 34.0082i 0.377663 1.75617i
\(376\) −1.22021 + 6.92016i −0.0629276 + 0.356880i
\(377\) 1.47060 42.1124i 0.0757395 2.16890i
\(378\) −16.9736 + 68.0774i −0.873028 + 3.50153i
\(379\) 13.6694 9.93142i 0.702151 0.510143i −0.178481 0.983943i \(-0.557118\pi\)
0.880632 + 0.473801i \(0.157118\pi\)
\(380\) −29.7188 5.08537i −1.52454 0.260874i
\(381\) −11.9701 8.69679i −0.613247 0.445550i
\(382\) 5.33550 4.47701i 0.272988 0.229064i
\(383\) 10.7097 + 15.8778i 0.547241 + 0.811319i 0.996631 0.0820172i \(-0.0261363\pi\)
−0.449390 + 0.893336i \(0.648358\pi\)
\(384\) 46.1273 + 24.5263i 2.35392 + 1.25160i
\(385\) −1.84928 + 0.280375i −0.0942480 + 0.0142893i
\(386\) 1.40164 + 1.79402i 0.0713417 + 0.0913132i
\(387\) 9.16214 + 10.1756i 0.465738 + 0.517254i
\(388\) −31.8610 + 6.77226i −1.61750 + 0.343809i
\(389\) 9.88216 24.4592i 0.501045 1.24013i −0.438817 0.898577i \(-0.644602\pi\)
0.939862 0.341554i \(-0.110953\pi\)
\(390\) −93.1500 40.2688i −4.71683 2.03909i
\(391\) 8.36976 1.77905i 0.423277 0.0899703i
\(392\) −0.836418 + 0.372397i −0.0422455 + 0.0188089i
\(393\) 17.0609 6.20965i 0.860607 0.313235i
\(394\) −24.9479 + 51.1508i −1.25686 + 2.57694i
\(395\) 1.77708 + 15.3093i 0.0894145 + 0.770296i
\(396\) −6.12017 + 1.75493i −0.307550 + 0.0881886i
\(397\) 8.07870 32.4019i 0.405458 1.62620i −0.326742 0.945114i \(-0.605951\pi\)
0.732200 0.681090i \(-0.238494\pi\)
\(398\) 3.25320 + 10.0123i 0.163068 + 0.501873i
\(399\) −23.8303 + 28.0685i −1.19301 + 1.40518i
\(400\) −2.58298 + 1.69298i −0.129149 + 0.0846490i
\(401\) −6.17976 + 5.18543i −0.308602 + 0.258948i −0.783914 0.620869i \(-0.786780\pi\)
0.475312 + 0.879817i \(0.342335\pi\)
\(402\) 3.11225 89.1231i 0.155225 4.44506i
\(403\) 23.3409 + 47.8558i 1.16269 + 2.38387i
\(404\) −29.2380 28.2348i −1.45465 1.40474i
\(405\) −28.4153 20.1779i −1.41197 1.00265i
\(406\) 36.4938 16.2481i 1.81116 0.806380i
\(407\) −1.14912 1.99034i −0.0569598 0.0986574i
\(408\) 2.60466 + 10.4467i 0.128950 + 0.517190i
\(409\) 14.8256 9.26407i 0.733079 0.458079i −0.111326 0.993784i \(-0.535510\pi\)
0.844405 + 0.535705i \(0.179954\pi\)
\(410\) −4.33844 23.1350i −0.214260 1.14256i
\(411\) 44.8711 + 9.53765i 2.21333 + 0.470457i
\(412\) −1.08430 31.0502i −0.0534195 1.52973i
\(413\) 21.0368 + 2.95653i 1.03515 + 0.145481i
\(414\) −91.0994 + 12.8032i −4.47729 + 0.629242i
\(415\) 0.576306 + 2.20913i 0.0282898 + 0.108442i
\(416\) 15.3244 + 37.9293i 0.751341 + 1.85963i
\(417\) 18.3234 + 13.3127i 0.897300 + 0.651927i
\(418\) −2.98174 0.543560i −0.145842 0.0265864i
\(419\) 7.15513 + 5.19851i 0.349551 + 0.253964i 0.748681 0.662931i \(-0.230688\pi\)
−0.399130 + 0.916895i \(0.630688\pi\)
\(420\) −2.67207 58.3681i −0.130384 2.84807i
\(421\) −6.40553 + 1.83676i −0.312187 + 0.0895181i −0.428072 0.903744i \(-0.640807\pi\)
0.115886 + 0.993263i \(0.463029\pi\)
\(422\) −14.4929 29.7149i −0.705505 1.44650i
\(423\) −16.7963 + 8.93075i −0.816664 + 0.434228i
\(424\) 0.472667 0.172037i 0.0229548 0.00835485i
\(425\) −6.78030 1.78608i −0.328893 0.0866376i
\(426\) 8.56843 + 14.8410i 0.415142 + 0.719047i
\(427\) 9.18752 22.7399i 0.444615 1.10046i
\(428\) −28.9199 2.02227i −1.39789 0.0977503i
\(429\) −5.66000 2.51999i −0.273267 0.121666i
\(430\) −8.83089 5.38593i −0.425863 0.259732i
\(431\) −0.834753 0.239362i −0.0402086 0.0115296i 0.255473 0.966816i \(-0.417769\pi\)
−0.295681 + 0.955287i \(0.595547\pi\)
\(432\) 1.22817 + 6.96531i 0.0590905 + 0.335119i
\(433\) 22.4423 21.6723i 1.07851 1.04150i 0.0795050 0.996834i \(-0.474666\pi\)
0.999002 0.0446676i \(-0.0142229\pi\)
\(434\) −31.0765 + 39.7761i −1.49172 + 1.90931i
\(435\) 2.07429 + 45.3103i 0.0994544 + 2.17246i
\(436\) −2.90512 8.94104i −0.139130 0.428198i
\(437\) −25.2476 8.36518i −1.20776 0.400161i
\(438\) −14.7886 + 45.5147i −0.706628 + 2.17478i
\(439\) −4.14922 2.59272i −0.198032 0.123744i 0.427279 0.904120i \(-0.359472\pi\)
−0.625311 + 0.780376i \(0.715028\pi\)
\(440\) 1.43186 0.916455i 0.0682611 0.0436903i
\(441\) −2.18848 1.16363i −0.104213 0.0554112i
\(442\) −8.96698 + 18.3850i −0.426516 + 0.874487i
\(443\) 7.66041 2.78816i 0.363957 0.132470i −0.153567 0.988138i \(-0.549076\pi\)
0.517524 + 0.855669i \(0.326854\pi\)
\(444\) 65.5872 29.2013i 3.11263 1.38583i
\(445\) 3.97004 2.16644i 0.188198 0.102699i
\(446\) 28.2238 + 1.97360i 1.33644 + 0.0934528i
\(447\) 9.41285 + 0.658211i 0.445213 + 0.0311323i
\(448\) −23.7056 + 26.3277i −1.11998 + 1.24387i
\(449\) 5.78104 10.0131i 0.272824 0.472545i −0.696760 0.717305i \(-0.745376\pi\)
0.969584 + 0.244759i \(0.0787089\pi\)
\(450\) 71.3789 + 24.2406i 3.36483 + 1.14271i
\(451\) −0.249542 1.41522i −0.0117505 0.0666403i
\(452\) 27.6915 3.89179i 1.30250 0.183055i
\(453\) −21.7740 + 6.24359i −1.02303 + 0.293349i
\(454\) 13.8616 55.5958i 0.650556 2.60924i
\(455\) 23.8204 31.1797i 1.11672 1.46173i
\(456\) 9.41040 32.1158i 0.440682 1.50396i
\(457\) −33.4283 −1.56371 −0.781856 0.623459i \(-0.785727\pi\)
−0.781856 + 0.623459i \(0.785727\pi\)
\(458\) −41.2736 + 2.88613i −1.92859 + 0.134860i
\(459\) −9.88600 + 12.6535i −0.461439 + 0.590615i
\(460\) 38.3695 17.5840i 1.78899 0.819860i
\(461\) −8.26887 + 4.39664i −0.385120 + 0.204772i −0.650731 0.759308i \(-0.725537\pi\)
0.265611 + 0.964080i \(0.414426\pi\)
\(462\) −0.204984 5.86998i −0.00953673 0.273096i
\(463\) −20.0262 22.2413i −0.930695 1.03364i −0.999352 0.0360011i \(-0.988538\pi\)
0.0686568 0.997640i \(-0.478129\pi\)
\(464\) 2.69457 2.99263i 0.125092 0.138929i
\(465\) −29.1928 49.3208i −1.35378 2.28720i
\(466\) 28.1760 17.6063i 1.30523 0.815598i
\(467\) −3.31529 + 31.5429i −0.153413 + 1.45963i 0.598900 + 0.800824i \(0.295605\pi\)
−0.752313 + 0.658806i \(0.771062\pi\)
\(468\) 66.7816 115.669i 3.08698 5.34681i
\(469\) 33.1445 + 9.50404i 1.53047 + 0.438856i
\(470\) 10.2284 10.0940i 0.471801 0.465603i
\(471\) −17.4220 35.7204i −0.802764 1.64591i
\(472\) −18.5604 + 5.32212i −0.854313 + 0.244970i
\(473\) −0.535546 0.334647i −0.0246245 0.0153871i
\(474\) −48.3979 −2.22299
\(475\) 15.3871 + 15.4350i 0.706007 + 0.708205i
\(476\) −11.7774 −0.539814
\(477\) 1.15479 + 0.721595i 0.0528744 + 0.0330396i
\(478\) 33.2886 9.54536i 1.52259 0.436595i
\(479\) −11.6140 23.8123i −0.530658 1.08801i −0.980793 0.195050i \(-0.937513\pi\)
0.450135 0.892960i \(-0.351376\pi\)
\(480\) −19.7310 39.3657i −0.900594 1.79679i
\(481\) 46.3450 + 13.2892i 2.11315 + 0.605936i
\(482\) −8.30396 + 14.3829i −0.378235 + 0.655123i
\(483\) 5.38772 51.2607i 0.245150 2.33244i
\(484\) −28.6079 + 17.8762i −1.30036 + 0.812553i
\(485\) 21.6122 + 9.34297i 0.981360 + 0.424242i
\(486\) 21.3537 23.7157i 0.968624 1.07577i
\(487\) 14.1550 + 15.7207i 0.641423 + 0.712373i 0.972935 0.231078i \(-0.0742254\pi\)
−0.331512 + 0.943451i \(0.607559\pi\)
\(488\) 0.777968 + 22.2781i 0.0352169 + 1.00848i
\(489\) −28.9397 + 15.3875i −1.30870 + 0.695848i
\(490\) 1.83560 + 0.369416i 0.0829238 + 0.0166885i
\(491\) 6.27987 8.03787i 0.283407 0.362744i −0.625151 0.780504i \(-0.714962\pi\)
0.908557 + 0.417760i \(0.137185\pi\)
\(492\) 44.7824 3.13149i 2.01895 0.141179i
\(493\) 9.14258 0.411761
\(494\) 52.9166 35.2491i 2.38083 1.58593i
\(495\) 4.34152 + 1.52709i 0.195137 + 0.0686375i
\(496\) −1.23099 + 4.93724i −0.0552731 + 0.221688i
\(497\) −6.36925 + 1.82635i −0.285700 + 0.0819231i
\(498\) −7.09962 + 0.997786i −0.318141 + 0.0447119i
\(499\) 6.84176 + 38.8016i 0.306279 + 1.73700i 0.617421 + 0.786633i \(0.288177\pi\)
−0.311142 + 0.950363i \(0.600711\pi\)
\(500\) −34.5612 1.28938i −1.54563 0.0576629i
\(501\) −4.91361 + 8.51062i −0.219524 + 0.380226i
\(502\) −39.3163 + 43.6652i −1.75477 + 1.94887i
\(503\) −28.1172 1.96615i −1.25368 0.0876661i −0.572578 0.819850i \(-0.694057\pi\)
−0.681107 + 0.732184i \(0.738501\pi\)
\(504\) 44.6463 + 3.12198i 1.98871 + 0.139064i
\(505\) 5.41529 + 28.8774i 0.240977 + 1.28503i
\(506\) 3.87600 1.72571i 0.172309 0.0767170i
\(507\) 84.1261 30.6194i 3.73617 1.35986i
\(508\) −6.44872 + 13.2218i −0.286116 + 0.586624i
\(509\) 16.8393 + 8.95360i 0.746388 + 0.396861i 0.798669 0.601771i \(-0.205538\pi\)
−0.0522810 + 0.998632i \(0.516649\pi\)
\(510\) 8.02635 20.5031i 0.355413 0.907893i
\(511\) −15.6921 9.80552i −0.694178 0.433771i
\(512\) −2.15009 + 6.61729i −0.0950213 + 0.292445i
\(513\) 46.3853 18.4295i 2.04796 0.813684i
\(514\) −18.5372 57.0518i −0.817643 2.51645i
\(515\) −12.3560 + 18.7539i −0.544469 + 0.826394i
\(516\) 12.1454 15.5454i 0.534671 0.684348i
\(517\) 0.631108 0.609454i 0.0277561 0.0268037i
\(518\) 7.93681 + 45.0119i 0.348724 + 1.97771i
\(519\) −35.1895 10.0904i −1.54465 0.442920i
\(520\) −8.25209 + 34.6954i −0.361878 + 1.52150i
\(521\) −11.6052 5.16698i −0.508434 0.226369i 0.136454 0.990646i \(-0.456429\pi\)
−0.644888 + 0.764277i \(0.723096\pi\)
\(522\) −98.0536 6.85657i −4.29169 0.300104i
\(523\) 4.03974 9.99871i 0.176645 0.437213i −0.812722 0.582652i \(-0.802015\pi\)
0.989367 + 0.145439i \(0.0464595\pi\)
\(524\) −9.02561 15.6328i −0.394286 0.682923i
\(525\) −22.8532 + 35.5187i −0.997394 + 1.55017i
\(526\) −37.6259 + 13.6947i −1.64057 + 0.597117i
\(527\) −10.2001 + 5.42349i −0.444323 + 0.236251i
\(528\) −0.259557 0.532171i −0.0112958 0.0231598i
\(529\) 13.6812 3.92302i 0.594834 0.170566i
\(530\) −0.991835 0.272803i −0.0430826 0.0118498i
\(531\) −42.2881 30.7241i −1.83515 1.33331i
\(532\) 31.5972 + 18.4871i 1.36991 + 0.801517i
\(533\) 24.3891 + 17.7197i 1.05641 + 0.767527i
\(534\) 5.32029 + 13.1682i 0.230232 + 0.569843i
\(535\) 16.1982 + 13.2953i 0.700307 + 0.574806i
\(536\) −31.0343 + 4.36159i −1.34048 + 0.188392i
\(537\) −0.707223 0.0993938i −0.0305189 0.00428916i
\(538\) 0.827841 + 23.7063i 0.0356908 + 1.02205i
\(539\) 0.111816 + 0.0237671i 0.00481624 + 0.00102372i
\(540\) −33.9474 + 71.5612i −1.46086 + 3.07950i
\(541\) −12.5749 + 7.85769i −0.540638 + 0.337828i −0.772596 0.634897i \(-0.781042\pi\)
0.231958 + 0.972726i \(0.425487\pi\)
\(542\) 5.37471 + 21.5568i 0.230864 + 0.925944i
\(543\) −33.3518 57.7671i −1.43126 2.47902i
\(544\) −8.10836 + 3.61007i −0.347643 + 0.154781i
\(545\) −2.02978 + 6.48543i −0.0869462 + 0.277805i
\(546\) 88.6340 + 85.5928i 3.79318 + 3.66303i
\(547\) 3.60940 + 7.40036i 0.154327 + 0.316417i 0.961924 0.273318i \(-0.0881212\pi\)
−0.807597 + 0.589735i \(0.799232\pi\)
\(548\) 1.59174 45.5815i 0.0679959 1.94715i
\(549\) −46.2286 + 38.7904i −1.97299 + 1.65553i
\(550\) −3.47263 0.167270i −0.148074 0.00713243i
\(551\) −24.5284 14.3512i −1.04494 0.611383i
\(552\) 14.4768 + 44.5550i 0.616173 + 1.89638i
\(553\) 4.52707 18.1571i 0.192510 0.772117i
\(554\) 43.2866 12.4122i 1.83907 0.527345i
\(555\) −50.8764 10.2389i −2.15958 0.434619i
\(556\) 9.87146 20.2395i 0.418643 0.858346i
\(557\) −27.0382 + 9.84111i −1.14565 + 0.416981i −0.843950 0.536422i \(-0.819775\pi\)
−0.301697 + 0.953404i \(0.597553\pi\)
\(558\) 113.463 50.5169i 4.80326 2.13855i
\(559\) 12.9582 2.75436i 0.548075 0.116497i
\(560\) 3.65918 0.819342i 0.154629 0.0346235i
\(561\) 0.503566 1.24637i 0.0212606 0.0526217i
\(562\) −17.4198 + 3.70269i −0.734809 + 0.156188i
\(563\) −3.07651 3.41681i −0.129659 0.144001i 0.674819 0.737983i \(-0.264222\pi\)
−0.804478 + 0.593982i \(0.797555\pi\)
\(564\) 16.8735 + 21.5971i 0.710501 + 0.909400i
\(565\) −17.9494 9.29566i −0.755135 0.391071i
\(566\) 44.2100 + 23.5069i 1.85829 + 0.988069i
\(567\) 23.6621 + 35.0805i 0.993716 + 1.47324i
\(568\) 4.61339 3.87109i 0.193573 0.162427i
\(569\) −12.0126 8.72764i −0.503593 0.365882i 0.306795 0.951776i \(-0.400744\pi\)
−0.810388 + 0.585894i \(0.800744\pi\)
\(570\) −53.7177 + 42.4082i −2.24999 + 1.77628i
\(571\) −0.452114 + 0.328480i −0.0189204 + 0.0137465i −0.597205 0.802088i \(-0.703722\pi\)
0.578285 + 0.815835i \(0.303722\pi\)
\(572\) −1.49023 + 5.97698i −0.0623095 + 0.249910i
\(573\) 0.335105 9.59616i 0.0139992 0.400885i
\(574\) −4.96277 + 28.1453i −0.207142 + 1.17476i
\(575\) −29.9730 5.69473i −1.24996 0.237487i
\(576\) 81.9143 29.8144i 3.41309 1.24226i
\(577\) 24.2923 + 5.16348i 1.01130 + 0.214959i 0.683627 0.729832i \(-0.260402\pi\)
0.327674 + 0.944791i \(0.393735\pi\)
\(578\) 30.9952 + 13.7999i 1.28923 + 0.574002i
\(579\) 3.13095 + 0.218938i 0.130118 + 0.00909874i
\(580\) 44.0068 9.85373i 1.82728 0.409154i
\(581\) 0.289756 2.75684i 0.0120211 0.114373i
\(582\) −36.9690 + 64.0321i −1.53241 + 2.65422i
\(583\) −0.0603693 0.0173106i −0.00250024 0.000716933i
\(584\) 16.6546 + 2.34064i 0.689170 + 0.0968566i
\(585\) −87.7685 + 40.2228i −3.62878 + 1.66301i
\(586\) 0.0170949 0.489534i 0.000706184 0.0202225i
\(587\) −7.39929 18.3139i −0.305401 0.755895i −0.999356 0.0358762i \(-0.988578\pi\)
0.693955 0.720018i \(-0.255867\pi\)
\(588\) −1.10350 + 3.39623i −0.0455077 + 0.140058i
\(589\) 35.8789 + 1.46071i 1.47836 + 0.0601876i
\(590\) 37.2497 + 13.1022i 1.53355 + 0.539410i
\(591\) 29.3906 + 72.7444i 1.20897 + 2.99230i
\(592\) 2.57648 + 3.81980i 0.105893 + 0.156993i
\(593\) −7.45448 + 42.2765i −0.306119 + 1.73609i 0.312072 + 0.950059i \(0.398977\pi\)
−0.618191 + 0.786028i \(0.712134\pi\)
\(594\) −3.49032 + 7.15622i −0.143210 + 0.293623i
\(595\) 6.94123 + 4.92902i 0.284563 + 0.202070i
\(596\) −0.980633 9.33010i −0.0401683 0.382176i
\(597\) 13.2587 + 5.90314i 0.542641 + 0.241599i
\(598\) −33.3422 + 82.5247i −1.36346 + 3.37469i
\(599\) 5.57026 + 4.67400i 0.227595 + 0.190975i 0.749453 0.662058i \(-0.230317\pi\)
−0.521858 + 0.853032i \(0.674761\pi\)
\(600\) 5.84485 37.9407i 0.238615 1.54892i
\(601\) 15.0882 26.1336i 0.615461 1.06601i −0.374842 0.927089i \(-0.622303\pi\)
0.990303 0.138922i \(-0.0443637\pi\)
\(602\) 7.73212 + 9.89666i 0.315138 + 0.403358i
\(603\) −61.0292 58.9352i −2.48530 2.40003i
\(604\) 9.87255 + 20.2417i 0.401708 + 0.823624i
\(605\) 24.3421 + 1.43717i 0.989647 + 0.0584293i
\(606\) −92.0381 + 6.43593i −3.73879 + 0.261442i
\(607\) −41.3382 −1.67786 −0.838932 0.544236i \(-0.816820\pi\)
−0.838932 + 0.544236i \(0.816820\pi\)
\(608\) 27.4205 + 3.04244i 1.11205 + 0.123387i
\(609\) 17.0182 52.3765i 0.689611 2.12240i
\(610\) 25.0811 38.0681i 1.01550 1.54133i
\(611\) −0.642323 + 18.3937i −0.0259856 + 0.744130i
\(612\) 25.5868 + 13.6047i 1.03429 + 0.549939i
\(613\) −16.5760 2.32961i −0.669499 0.0940920i −0.203769 0.979019i \(-0.565319\pi\)
−0.465730 + 0.884927i \(0.654208\pi\)
\(614\) 20.0050 + 25.6052i 0.807336 + 1.03334i
\(615\) −27.7040 16.8966i −1.11713 0.681336i
\(616\) −2.01902 + 0.429155i −0.0813485 + 0.0172912i
\(617\) −8.51905 34.1681i −0.342964 1.37555i −0.855906 0.517131i \(-0.827000\pi\)
0.512942 0.858423i \(-0.328556\pi\)
\(618\) −54.0251 45.3325i −2.17321 1.82354i
\(619\) −0.569537 + 5.41878i −0.0228916 + 0.217799i 0.977096 + 0.212800i \(0.0682581\pi\)
−0.999988 + 0.00499969i \(0.998409\pi\)
\(620\) −43.2516 + 37.0988i −1.73703 + 1.48993i
\(621\) −39.0710 + 57.9251i −1.56786 + 2.32445i
\(622\) −10.3854 10.0291i −0.416418 0.402130i
\(623\) −5.43786 + 0.764241i −0.217863 + 0.0306187i
\(624\) 11.6719 + 4.24823i 0.467250 + 0.170065i
\(625\) 19.8297 + 15.2244i 0.793190 + 0.608975i
\(626\) 27.5764 1.10217
\(627\) −3.30745 + 2.55339i −0.132087 + 0.101973i
\(628\) −31.9672 + 23.2256i −1.27563 + 0.926801i
\(629\) −2.53064 + 10.1498i −0.100903 + 0.404701i
\(630\) −70.7476 58.0691i −2.81865 2.31353i
\(631\) −4.71680 + 4.55496i −0.187773 + 0.181330i −0.782603 0.622521i \(-0.786108\pi\)
0.594830 + 0.803852i \(0.297219\pi\)
\(632\) 2.95346 + 16.7499i 0.117482 + 0.666276i
\(633\) −43.8124 12.5630i −1.74139 0.499334i
\(634\) 40.4146 + 44.8849i 1.60507 + 1.78261i
\(635\) 9.33424 5.09366i 0.370418 0.202136i
\(636\) 0.734925 1.81900i 0.0291417 0.0721282i
\(637\) −2.03368 + 1.27079i −0.0805775 + 0.0503504i
\(638\) 4.43422 0.942524i 0.175553 0.0373149i
\(639\) 15.9472 + 3.38968i 0.630862 + 0.134094i
\(640\) −30.1343 + 22.3969i −1.19116 + 0.885317i
\(641\) −0.162857 0.0228881i −0.00643248 0.000904026i 0.135956 0.990715i \(-0.456589\pi\)
−0.142389 + 0.989811i \(0.545478\pi\)
\(642\) −47.3372 + 45.7130i −1.86825 + 1.80415i
\(643\) 29.1230 + 10.5999i 1.14850 + 0.418019i 0.844975 0.534805i \(-0.179615\pi\)
0.303523 + 0.952824i \(0.401837\pi\)
\(644\) −51.1214 + 3.57475i −2.01446 + 0.140865i
\(645\) −13.6641 + 4.07895i −0.538025 + 0.160609i
\(646\) 8.04394 + 11.2073i 0.316485 + 0.440944i
\(647\) 21.4490 15.5836i 0.843248 0.612656i −0.0800277 0.996793i \(-0.525501\pi\)
0.923276 + 0.384137i \(0.125501\pi\)
\(648\) −32.6161 20.3808i −1.28128 0.800633i
\(649\) 2.26536 + 0.824523i 0.0889231 + 0.0323654i
\(650\) 54.8408 48.0810i 2.15103 1.88589i
\(651\) 12.0837 + 68.5302i 0.473599 + 2.68591i
\(652\) 20.0629 + 25.6793i 0.785722 + 1.00568i
\(653\) −0.830154 7.89838i −0.0324864 0.309088i −0.998684 0.0512851i \(-0.983668\pi\)
0.966198 0.257803i \(-0.0829984\pi\)
\(654\) −19.4951 8.67976i −0.762317 0.339405i
\(655\) −1.22316 + 12.9909i −0.0477929 + 0.507596i
\(656\) 0.696978 + 2.79542i 0.0272124 + 0.109143i
\(657\) 22.7648 + 39.4298i 0.888140 + 1.53830i
\(658\) −15.9397 + 7.09680i −0.621393 + 0.276662i
\(659\) −0.840418 24.0664i −0.0327380 0.937494i −0.899012 0.437925i \(-0.855714\pi\)
0.866274 0.499570i \(-0.166509\pi\)
\(660\) 1.08054 6.54199i 0.0420599 0.254647i
\(661\) −9.67988 + 1.36042i −0.376504 + 0.0529142i −0.324887 0.945753i \(-0.605326\pi\)
−0.0516168 + 0.998667i \(0.516437\pi\)
\(662\) 6.80741 8.71309i 0.264577 0.338644i
\(663\) 10.5638 + 26.1464i 0.410265 + 1.01544i
\(664\) 0.778572 + 2.39620i 0.0302145 + 0.0929906i
\(665\) −10.8853 24.1197i −0.422113 0.935321i
\(666\) 34.7530 106.959i 1.34665 4.14456i
\(667\) 39.6847 2.77503i 1.53660 0.107449i
\(668\) 9.18137 + 3.34175i 0.355238 + 0.129296i
\(669\) 28.0576 27.0949i 1.08477 1.04755i
\(670\) 56.9116 + 29.4735i 2.19869 + 1.13866i
\(671\) 1.55636 2.30739i 0.0600824 0.0890759i
\(672\) 5.58855 + 53.1715i 0.215583 + 2.05113i
\(673\) 7.20481 8.00175i 0.277725 0.308445i −0.588104 0.808786i \(-0.700125\pi\)
0.865829 + 0.500341i \(0.166792\pi\)
\(674\) 19.3038 + 16.1978i 0.743555 + 0.623916i
\(675\) 49.9571 27.9685i 1.92285 1.07651i
\(676\) −44.5048 77.0845i −1.71172 2.96479i
\(677\) 23.3189 + 4.95659i 0.896219 + 0.190497i 0.632920 0.774217i \(-0.281856\pi\)
0.263299 + 0.964714i \(0.415189\pi\)
\(678\) 35.4951 52.6237i 1.36318 2.02100i
\(679\) −20.5644 19.8588i −0.789190 0.762112i
\(680\) −7.58568 1.52663i −0.290897 0.0585435i
\(681\) −44.1713 65.4866i −1.69265 2.50945i
\(682\) −4.38801 + 3.68198i −0.168026 + 0.140990i
\(683\) −21.3818 15.5348i −0.818151 0.594421i 0.0980315 0.995183i \(-0.468745\pi\)
−0.916182 + 0.400762i \(0.868745\pi\)
\(684\) −47.2906 76.6638i −1.80820 2.93131i
\(685\) −20.0147 + 26.1982i −0.764724 + 1.00098i
\(686\) 34.4457 + 21.5240i 1.31514 + 0.821792i
\(687\) −35.1168 + 44.9474i −1.33979 + 1.71485i
\(688\) 1.11784 + 0.594369i 0.0426174 + 0.0226601i
\(689\) 1.16325 0.618513i 0.0443164 0.0235635i
\(690\) 28.6163 91.4330i 1.08940 3.48080i
\(691\) −20.4737 22.7384i −0.778858 0.865010i 0.214892 0.976638i \(-0.431060\pi\)
−0.993750 + 0.111628i \(0.964393\pi\)
\(692\) −3.80449 + 36.1973i −0.144625 + 1.37602i
\(693\) −4.28059 3.59184i −0.162606 0.136443i
\(694\) −15.1231 60.6555i −0.574066 2.30245i
\(695\) −14.2885 + 7.79719i −0.541994 + 0.295764i
\(696\) 5.23220 + 49.7810i 0.198326 + 1.88695i
\(697\) −3.65759 + 5.42260i −0.138541 + 0.205396i
\(698\) 26.5613 14.1229i 1.00536 0.534559i
\(699\) 7.95373 45.1078i 0.300838 1.70614i
\(700\) 38.7232 + 16.2441i 1.46360 + 0.613970i
\(701\) 30.0340 25.2015i 1.13437 0.951847i 0.135127 0.990828i \(-0.456856\pi\)
0.999240 + 0.0389813i \(0.0124113\pi\)
\(702\) −51.6143 158.853i −1.94806 5.99551i
\(703\) 22.7218 23.2584i 0.856967 0.877206i
\(704\) −3.25254 + 2.36311i −0.122585 + 0.0890629i
\(705\) −0.906001 19.7905i −0.0341220 0.745353i
\(706\) 9.10984 + 13.5059i 0.342854 + 0.508301i
\(707\) 6.19458 35.1312i 0.232971 1.32125i
\(708\) −33.0131 + 67.6869i −1.24071 + 2.54383i
\(709\) 0.743898 + 21.3025i 0.0279377 + 0.800031i 0.929813 + 0.368033i \(0.119969\pi\)
−0.901875 + 0.431997i \(0.857809\pi\)
\(710\) −12.2760 + 0.992266i −0.460711 + 0.0372391i
\(711\) −30.8096 + 34.2175i −1.15545 + 1.28326i
\(712\) 4.23268 2.64487i 0.158626 0.0991207i
\(713\) −42.6288 + 26.6375i −1.59646 + 0.997581i
\(714\) −17.8884 + 19.8671i −0.669456 + 0.743507i
\(715\) 3.37976 2.89897i 0.126396 0.108415i
\(716\) 0.0247807 + 0.709628i 0.000926100 + 0.0265200i
\(717\) 20.9285 42.9097i 0.781588 1.60249i
\(718\) 6.75928 38.3338i 0.252254 1.43060i
\(719\) 15.2334 + 22.5844i 0.568108 + 0.842255i 0.998165 0.0605464i \(-0.0192843\pi\)
−0.430057 + 0.902802i \(0.641507\pi\)
\(720\) −8.89620 2.44689i −0.331542 0.0911902i
\(721\) 22.0605 16.0279i 0.821575 0.596909i
\(722\) −3.98866 42.6944i −0.148443 1.58892i
\(723\) 7.07520 + 21.7752i 0.263130 + 0.809830i
\(724\) −50.8037 + 42.6293i −1.88810 + 1.58431i
\(725\) −30.0602 12.6101i −1.11641 0.468326i
\(726\) −13.2968 + 75.4100i −0.493491 + 2.79873i
\(727\) −33.2642 + 17.6869i −1.23370 + 0.655970i −0.952751 0.303752i \(-0.901761\pi\)
−0.280950 + 0.959722i \(0.590649\pi\)
\(728\) 24.2138 35.8984i 0.897422 1.33048i
\(729\) 0.288735 + 2.74713i 0.0106939 + 0.101745i
\(730\) −24.9987 23.6226i −0.925244 0.874313i
\(731\) 0.695362 + 2.78895i 0.0257189 + 0.103153i
\(732\) 66.6030 + 55.8866i 2.46172 + 2.06563i
\(733\) 2.76459 26.3034i 0.102113 0.971537i −0.816759 0.576979i \(-0.804231\pi\)
0.918871 0.394557i \(-0.129102\pi\)
\(734\) 6.01749 + 6.68310i 0.222110 + 0.246678i
\(735\) 2.07175 1.53980i 0.0764177 0.0567966i
\(736\) −34.0998 + 18.1312i −1.25693 + 0.668324i
\(737\) 3.45485 + 1.83698i 0.127261 + 0.0676659i
\(738\) 43.2941 55.4140i 1.59368 2.03982i
\(739\) 2.14941 + 1.34310i 0.0790672 + 0.0494067i 0.568877 0.822423i \(-0.307378\pi\)
−0.489810 + 0.871829i \(0.662934\pi\)
\(740\) −1.24160 + 51.5826i −0.0456421 + 1.89621i
\(741\) 12.7010 86.7296i 0.466581 3.18609i
\(742\) 1.01044 + 0.734130i 0.0370946 + 0.0269508i
\(743\) 16.2686 13.6510i 0.596836 0.500805i −0.293591 0.955931i \(-0.594850\pi\)
0.890427 + 0.455126i \(0.150406\pi\)
\(744\) −35.3681 52.4354i −1.29666 1.92237i
\(745\) −3.32684 + 5.90929i −0.121886 + 0.216500i
\(746\) 0.0528711 + 0.0510571i 0.00193575 + 0.00186933i
\(747\) −3.81410 + 5.65464i −0.139551 + 0.206892i
\(748\) −1.30730 0.277876i −0.0477997 0.0101601i
\(749\) −12.7219 22.0350i −0.464850 0.805143i
\(750\) −54.6694 + 56.3425i −1.99624 + 2.05734i
\(751\) −22.7755 19.1109i −0.831089 0.697367i 0.124452 0.992226i \(-0.460283\pi\)
−0.955541 + 0.294859i \(0.904727\pi\)
\(752\) −1.17693 + 1.30711i −0.0429182 + 0.0476654i
\(753\) 8.46715 + 80.5596i 0.308560 + 2.93575i
\(754\) −53.1790 + 78.8410i −1.93666 + 2.87122i
\(755\) 2.65291 16.0617i 0.0965492 0.584545i
\(756\) 69.1776 66.8040i 2.51596 2.42964i
\(757\) −21.0505 7.66177i −0.765095 0.278472i −0.0701514 0.997536i \(-0.522348\pi\)
−0.694943 + 0.719065i \(0.744570\pi\)
\(758\) −38.0397 + 2.66000i −1.38167 + 0.0966154i
\(759\) 1.80749 5.56289i 0.0656079 0.201920i
\(760\) 17.9550 + 16.0031i 0.651298 + 0.580493i
\(761\) −6.99096 21.5160i −0.253422 0.779953i −0.994136 0.108133i \(-0.965513\pi\)
0.740714 0.671820i \(-0.234487\pi\)
\(762\) 12.5089 + 30.9606i 0.453150 + 1.12159i
\(763\) 5.07986 6.50192i 0.183903 0.235385i
\(764\) −9.45379 + 1.32864i −0.342026 + 0.0480687i
\(765\) −9.38630 18.7267i −0.339362 0.677067i
\(766\) −1.50848 43.1972i −0.0545036 1.56078i
\(767\) −46.2005 + 20.5698i −1.66820 + 0.742731i
\(768\) −18.3522 31.7870i −0.662229 1.14701i
\(769\) 10.2070 + 40.9379i 0.368073 + 1.47626i 0.813829 + 0.581105i \(0.197379\pi\)
−0.445756 + 0.895155i \(0.647065\pi\)
\(770\) 3.87469 + 1.67503i 0.139634 + 0.0603639i
\(771\) −75.5499 33.6370i