Properties

Label 475.2.bc.a.6.8
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 6.8
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.79524 - 1.12179i) q^{2} +(-0.560140 + 0.160617i) q^{3} +(1.08772 + 2.23017i) q^{4} +(-1.94606 + 1.10130i) q^{5} +(1.18576 + 0.340012i) q^{6} +(-1.52823 + 2.64697i) q^{7} +(0.106498 - 1.01326i) q^{8} +(-2.25619 + 1.40982i) q^{9} +O(q^{10})\) \(q+(-1.79524 - 1.12179i) q^{2} +(-0.560140 + 0.160617i) q^{3} +(1.08772 + 2.23017i) q^{4} +(-1.94606 + 1.10130i) q^{5} +(1.18576 + 0.340012i) q^{6} +(-1.52823 + 2.64697i) q^{7} +(0.106498 - 1.01326i) q^{8} +(-2.25619 + 1.40982i) q^{9} +(4.72906 + 0.205964i) q^{10} +(0.275390 - 0.305852i) q^{11} +(-0.967481 - 1.07450i) q^{12} +(-0.127584 - 3.65354i) q^{13} +(5.71287 - 3.03759i) q^{14} +(0.913175 - 0.929454i) q^{15} +(1.72742 - 2.21099i) q^{16} +(-4.10028 + 0.286720i) q^{17} +5.63191 q^{18} +(3.72868 - 2.25764i) q^{19} +(-4.57286 - 3.14211i) q^{20} +(0.430872 - 1.72813i) q^{21} +(-0.837492 + 0.240147i) q^{22} +(0.408444 - 0.0574031i) q^{23} +(0.103093 + 0.584670i) q^{24} +(2.57427 - 4.28639i) q^{25} +(-3.86945 + 6.70209i) q^{26} +(2.20707 - 2.45120i) q^{27} +(-7.56547 - 0.529029i) q^{28} +(3.00947 + 0.210443i) q^{29} +(-2.68202 + 0.644201i) q^{30} +(4.28759 - 1.90896i) q^{31} +(-7.49618 + 2.72839i) q^{32} +(-0.105132 + 0.215552i) q^{33} +(7.68262 + 4.08492i) q^{34} +(0.0589040 - 6.83419i) q^{35} +(-5.59824 - 3.49817i) q^{36} +(-0.480495 + 1.47881i) q^{37} +(-9.22646 - 0.129801i) q^{38} +(0.658287 + 2.02600i) q^{39} +(0.908652 + 2.08914i) q^{40} +(0.418228 - 0.535307i) q^{41} +(-2.71212 + 2.61906i) q^{42} +(-1.37612 - 7.80435i) q^{43} +(0.981649 + 0.281483i) q^{44} +(2.83802 - 5.22833i) q^{45} +(-0.797649 - 0.355136i) q^{46} +(-4.65049 - 0.325194i) q^{47} +(-0.612471 + 1.51592i) q^{48} +(-1.17096 - 2.02816i) q^{49} +(-9.42984 + 4.80731i) q^{50} +(2.25068 - 0.819180i) q^{51} +(8.00922 - 4.25858i) q^{52} +(-1.07551 - 2.20513i) q^{53} +(-6.71194 + 1.92462i) q^{54} +(-0.199089 + 0.898492i) q^{55} +(2.51931 + 1.83038i) q^{56} +(-1.72597 + 1.86348i) q^{57} +(-5.16664 - 3.75379i) q^{58} +(-1.23854 - 3.06551i) q^{59} +(3.06612 + 1.02554i) q^{60} +(0.673655 - 0.0946760i) q^{61} +(-9.83868 - 1.38274i) q^{62} +(-0.283786 - 8.12658i) q^{63} +(11.0291 + 2.34432i) q^{64} +(4.27194 + 6.96948i) q^{65} +(0.430541 - 0.269032i) q^{66} +(3.03205 + 12.1609i) q^{67} +(-5.09941 - 8.83244i) q^{68} +(-0.219566 + 0.0977571i) q^{69} +(-7.77226 + 12.2029i) q^{70} +(-10.4169 - 10.0595i) q^{71} +(1.18823 + 2.43624i) q^{72} +(0.0677110 - 1.93899i) q^{73} +(2.52152 - 2.11580i) q^{74} +(-0.753479 + 2.81445i) q^{75} +(9.09068 + 5.85989i) q^{76} +(0.388721 + 1.19636i) q^{77} +(1.09096 - 4.37561i) q^{78} +(-8.37174 + 2.40056i) q^{79} +(-0.926678 + 6.20512i) q^{80} +(2.65623 - 5.44607i) q^{81} +(-1.35132 + 0.491840i) q^{82} +(7.52873 - 3.35201i) q^{83} +(4.32269 - 0.918816i) q^{84} +(7.66361 - 5.07362i) q^{85} +(-6.28438 + 15.5544i) q^{86} +(-1.71953 + 0.365496i) q^{87} +(-0.280578 - 0.311613i) q^{88} +(3.58623 + 4.59017i) q^{89} +(-10.9600 + 6.20244i) q^{90} +(9.86578 + 5.24573i) q^{91} +(0.572294 + 0.848460i) q^{92} +(-2.09504 + 1.75794i) q^{93} +(7.98393 + 5.80067i) q^{94} +(-4.76988 + 8.49989i) q^{95} +(3.76068 - 2.73229i) q^{96} +(2.80338 - 11.2437i) q^{97} +(-0.173019 + 4.95461i) q^{98} +(-0.190135 + 1.07831i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.79524 1.12179i −1.26942 0.793224i −0.283268 0.959041i \(-0.591419\pi\)
−0.986157 + 0.165816i \(0.946974\pi\)
\(3\) −0.560140 + 0.160617i −0.323397 + 0.0927325i −0.433408 0.901198i \(-0.642689\pi\)
0.110011 + 0.993930i \(0.464911\pi\)
\(4\) 1.08772 + 2.23017i 0.543862 + 1.11508i
\(5\) −1.94606 + 1.10130i −0.870303 + 0.492517i
\(6\) 1.18576 + 0.340012i 0.484085 + 0.138809i
\(7\) −1.52823 + 2.64697i −0.577616 + 1.00046i 0.418136 + 0.908384i \(0.362683\pi\)
−0.995752 + 0.0920757i \(0.970650\pi\)
\(8\) 0.106498 1.01326i 0.0376526 0.358240i
\(9\) −2.25619 + 1.40982i −0.752062 + 0.469940i
\(10\) 4.72906 + 0.205964i 1.49546 + 0.0651316i
\(11\) 0.275390 0.305852i 0.0830333 0.0922178i −0.700196 0.713950i \(-0.746904\pi\)
0.783230 + 0.621733i \(0.213571\pi\)
\(12\) −0.967481 1.07450i −0.279288 0.310180i
\(13\) −0.127584 3.65354i −0.0353855 1.01331i −0.879135 0.476572i \(-0.841879\pi\)
0.843750 0.536737i \(-0.180343\pi\)
\(14\) 5.71287 3.03759i 1.52683 0.811829i
\(15\) 0.913175 0.929454i 0.235781 0.239984i
\(16\) 1.72742 2.21099i 0.431854 0.552748i
\(17\) −4.10028 + 0.286720i −0.994465 + 0.0695397i −0.557706 0.830039i \(-0.688318\pi\)
−0.436759 + 0.899579i \(0.643874\pi\)
\(18\) 5.63191 1.32745
\(19\) 3.72868 2.25764i 0.855419 0.517937i
\(20\) −4.57286 3.14211i −1.02252 0.702598i
\(21\) 0.430872 1.72813i 0.0940239 0.377109i
\(22\) −0.837492 + 0.240147i −0.178554 + 0.0511995i
\(23\) 0.408444 0.0574031i 0.0851666 0.0119694i −0.0964611 0.995337i \(-0.530752\pi\)
0.181628 + 0.983367i \(0.441863\pi\)
\(24\) 0.103093 + 0.584670i 0.0210438 + 0.119345i
\(25\) 2.57427 4.28639i 0.514853 0.857278i
\(26\) −3.86945 + 6.70209i −0.758862 + 1.31439i
\(27\) 2.20707 2.45120i 0.424751 0.471734i
\(28\) −7.56547 0.529029i −1.42974 0.0999771i
\(29\) 3.00947 + 0.210443i 0.558845 + 0.0390783i 0.346387 0.938092i \(-0.387409\pi\)
0.212458 + 0.977170i \(0.431853\pi\)
\(30\) −2.68202 + 0.644201i −0.489667 + 0.117614i
\(31\) 4.28759 1.90896i 0.770073 0.342859i 0.0161917 0.999869i \(-0.494846\pi\)
0.753882 + 0.657010i \(0.228179\pi\)
\(32\) −7.49618 + 2.72839i −1.32515 + 0.482315i
\(33\) −0.105132 + 0.215552i −0.0183011 + 0.0375228i
\(34\) 7.68262 + 4.08492i 1.31756 + 0.700558i
\(35\) 0.0589040 6.83419i 0.00995660 1.15519i
\(36\) −5.59824 3.49817i −0.933041 0.583028i
\(37\) −0.480495 + 1.47881i −0.0789929 + 0.243115i −0.982753 0.184925i \(-0.940796\pi\)
0.903760 + 0.428040i \(0.140796\pi\)
\(38\) −9.22646 0.129801i −1.49673 0.0210565i
\(39\) 0.658287 + 2.02600i 0.105410 + 0.324419i
\(40\) 0.908652 + 2.08914i 0.143670 + 0.330322i
\(41\) 0.418228 0.535307i 0.0653162 0.0836010i −0.754243 0.656595i \(-0.771996\pi\)
0.819559 + 0.572994i \(0.194218\pi\)
\(42\) −2.71212 + 2.61906i −0.418489 + 0.404130i
\(43\) −1.37612 7.80435i −0.209856 1.19015i −0.889613 0.456715i \(-0.849026\pi\)
0.679757 0.733438i \(-0.262085\pi\)
\(44\) 0.981649 + 0.281483i 0.147989 + 0.0424352i
\(45\) 2.83802 5.22833i 0.423068 0.779394i
\(46\) −0.797649 0.355136i −0.117607 0.0523620i
\(47\) −4.65049 0.325194i −0.678344 0.0474344i −0.273571 0.961852i \(-0.588205\pi\)
−0.404773 + 0.914417i \(0.632649\pi\)
\(48\) −0.612471 + 1.51592i −0.0884025 + 0.218804i
\(49\) −1.17096 2.02816i −0.167280 0.289738i
\(50\) −9.42984 + 4.80731i −1.33358 + 0.679856i
\(51\) 2.25068 0.819180i 0.315158 0.114708i
\(52\) 8.00922 4.25858i 1.11068 0.590558i
\(53\) −1.07551 2.20513i −0.147733 0.302898i 0.812076 0.583552i \(-0.198338\pi\)
−0.959809 + 0.280654i \(0.909449\pi\)
\(54\) −6.71194 + 1.92462i −0.913380 + 0.261907i
\(55\) −0.199089 + 0.898492i −0.0268452 + 0.121153i
\(56\) 2.51931 + 1.83038i 0.336656 + 0.244595i
\(57\) −1.72597 + 1.86348i −0.228610 + 0.246824i
\(58\) −5.16664 3.75379i −0.678414 0.492896i
\(59\) −1.23854 3.06551i −0.161245 0.399095i 0.824834 0.565375i \(-0.191269\pi\)
−0.986078 + 0.166281i \(0.946824\pi\)
\(60\) 3.06612 + 1.02554i 0.395834 + 0.132397i
\(61\) 0.673655 0.0946760i 0.0862526 0.0121220i −0.0959147 0.995390i \(-0.530578\pi\)
0.182167 + 0.983268i \(0.441689\pi\)
\(62\) −9.83868 1.38274i −1.24951 0.175608i
\(63\) −0.283786 8.12658i −0.0357537 1.02385i
\(64\) 11.0291 + 2.34432i 1.37864 + 0.293039i
\(65\) 4.27194 + 6.96948i 0.529868 + 0.864457i
\(66\) 0.430541 0.269032i 0.0529959 0.0331155i
\(67\) 3.03205 + 12.1609i 0.370424 + 1.48569i 0.809435 + 0.587209i \(0.199773\pi\)
−0.439011 + 0.898482i \(0.644671\pi\)
\(68\) −5.09941 8.83244i −0.618394 1.07109i
\(69\) −0.219566 + 0.0977571i −0.0264326 + 0.0117686i
\(70\) −7.77226 + 12.2029i −0.928963 + 1.45853i
\(71\) −10.4169 10.0595i −1.23626 1.19384i −0.973426 0.229001i \(-0.926454\pi\)
−0.262834 0.964841i \(-0.584657\pi\)
\(72\) 1.18823 + 2.43624i 0.140035 + 0.287113i
\(73\) 0.0677110 1.93899i 0.00792497 0.226942i −0.988966 0.148145i \(-0.952670\pi\)
0.996891 0.0787969i \(-0.0251079\pi\)
\(74\) 2.52152 2.11580i 0.293121 0.245957i
\(75\) −0.753479 + 2.81445i −0.0870043 + 0.324985i
\(76\) 9.09068 + 5.85989i 1.04277 + 0.672176i
\(77\) 0.388721 + 1.19636i 0.0442989 + 0.136338i
\(78\) 1.09096 4.37561i 0.123527 0.495440i
\(79\) −8.37174 + 2.40056i −0.941894 + 0.270084i −0.711238 0.702951i \(-0.751865\pi\)
−0.230656 + 0.973035i \(0.574087\pi\)
\(80\) −0.926678 + 6.20512i −0.103606 + 0.693754i
\(81\) 2.65623 5.44607i 0.295136 0.605119i
\(82\) −1.35132 + 0.491840i −0.149228 + 0.0543147i
\(83\) 7.52873 3.35201i 0.826386 0.367931i 0.0504376 0.998727i \(-0.483938\pi\)
0.775948 + 0.630797i \(0.217272\pi\)
\(84\) 4.32269 0.918816i 0.471644 0.100251i
\(85\) 7.66361 5.07362i 0.831236 0.550312i
\(86\) −6.28438 + 15.5544i −0.677662 + 1.67727i
\(87\) −1.71953 + 0.365496i −0.184352 + 0.0391853i
\(88\) −0.280578 0.311613i −0.0299097 0.0332181i
\(89\) 3.58623 + 4.59017i 0.380140 + 0.486557i 0.939588 0.342309i \(-0.111209\pi\)
−0.559448 + 0.828866i \(0.688987\pi\)
\(90\) −10.9600 + 6.20244i −1.15529 + 0.653794i
\(91\) 9.86578 + 5.24573i 1.03421 + 0.549902i
\(92\) 0.572294 + 0.848460i 0.0596657 + 0.0884581i
\(93\) −2.09504 + 1.75794i −0.217245 + 0.182290i
\(94\) 7.98393 + 5.80067i 0.823480 + 0.598293i
\(95\) −4.76988 + 8.49989i −0.489380 + 0.872071i
\(96\) 3.76068 2.73229i 0.383823 0.278864i
\(97\) 2.80338 11.2437i 0.284640 1.14163i −0.642311 0.766444i \(-0.722024\pi\)
0.926951 0.375184i \(-0.122420\pi\)
\(98\) −0.173019 + 4.95461i −0.0174775 + 0.500491i
\(99\) −0.190135 + 1.07831i −0.0191093 + 0.108374i
\(100\) 12.3595 + 1.07863i 1.23595 + 0.107863i
\(101\) 12.8139 4.66388i 1.27503 0.464073i 0.386245 0.922396i \(-0.373772\pi\)
0.888786 + 0.458323i \(0.151550\pi\)
\(102\) −4.95945 1.05416i −0.491059 0.104378i
\(103\) 4.62662 + 2.05990i 0.455874 + 0.202968i 0.621810 0.783168i \(-0.286398\pi\)
−0.165935 + 0.986137i \(0.553064\pi\)
\(104\) −3.71556 0.259817i −0.364340 0.0254772i
\(105\) 1.06470 + 3.83756i 0.103904 + 0.374508i
\(106\) −0.542888 + 5.16524i −0.0527300 + 0.501692i
\(107\) 1.14618 1.98524i 0.110805 0.191920i −0.805290 0.592881i \(-0.797990\pi\)
0.916095 + 0.400961i \(0.131324\pi\)
\(108\) 7.86727 + 2.25590i 0.757028 + 0.217074i
\(109\) 9.30578 + 1.30784i 0.891332 + 0.125269i 0.569948 0.821680i \(-0.306963\pi\)
0.321384 + 0.946949i \(0.395852\pi\)
\(110\) 1.36533 1.38967i 0.130179 0.132500i
\(111\) 0.0316214 0.905517i 0.00300137 0.0859479i
\(112\) 3.21254 + 7.95132i 0.303557 + 0.751329i
\(113\) 3.67206 11.3014i 0.345438 1.06315i −0.615911 0.787816i \(-0.711212\pi\)
0.961349 0.275333i \(-0.0887881\pi\)
\(114\) 5.18895 1.40922i 0.485990 0.131986i
\(115\) −0.731638 + 0.561531i −0.0682256 + 0.0523630i
\(116\) 2.80415 + 6.94053i 0.260359 + 0.644412i
\(117\) 5.43869 + 8.06319i 0.502807 + 0.745442i
\(118\) −1.21537 + 6.89270i −0.111884 + 0.634524i
\(119\) 5.50723 11.2915i 0.504847 1.03509i
\(120\) −0.844524 1.02426i −0.0770941 0.0935021i
\(121\) 1.13211 + 10.7713i 0.102919 + 0.979208i
\(122\) −1.31558 0.585732i −0.119107 0.0530297i
\(123\) −0.148286 + 0.367022i −0.0133705 + 0.0330932i
\(124\) 8.92100 + 7.48561i 0.801130 + 0.672228i
\(125\) −0.289052 + 11.1766i −0.0258536 + 0.999666i
\(126\) −8.60684 + 14.9075i −0.766759 + 1.32806i
\(127\) 2.42710 + 3.10655i 0.215370 + 0.275661i 0.883548 0.468340i \(-0.155148\pi\)
−0.668178 + 0.744001i \(0.732926\pi\)
\(128\) −5.69336 5.49801i −0.503227 0.485960i
\(129\) 2.02433 + 4.15050i 0.178233 + 0.365431i
\(130\) 0.149144 17.3041i 0.0130808 1.51767i
\(131\) −6.51155 + 0.455332i −0.568917 + 0.0397825i −0.351319 0.936256i \(-0.614267\pi\)
−0.217598 + 0.976038i \(0.569822\pi\)
\(132\) −0.595071 −0.0517943
\(133\) 0.277616 + 13.3199i 0.0240724 + 1.15498i
\(134\) 8.19871 25.2330i 0.708261 2.17980i
\(135\) −1.59557 + 7.20082i −0.137325 + 0.619748i
\(136\) −0.146149 + 4.18517i −0.0125322 + 0.358876i
\(137\) 5.21277 + 2.77168i 0.445357 + 0.236801i 0.676975 0.736006i \(-0.263291\pi\)
−0.231617 + 0.972807i \(0.574402\pi\)
\(138\) 0.503836 + 0.0708095i 0.0428894 + 0.00602771i
\(139\) −14.2107 18.1889i −1.20534 1.54276i −0.763707 0.645563i \(-0.776623\pi\)
−0.441630 0.897197i \(-0.645600\pi\)
\(140\) 15.3054 7.30235i 1.29355 0.617161i
\(141\) 2.65716 0.564796i 0.223773 0.0475644i
\(142\) 7.41620 + 29.7448i 0.622354 + 2.49612i
\(143\) −1.15258 0.967126i −0.0963833 0.0808752i
\(144\) −0.780269 + 7.42376i −0.0650224 + 0.618647i
\(145\) −6.08836 + 2.90481i −0.505611 + 0.241231i
\(146\) −2.29669 + 3.40499i −0.190076 + 0.281799i
\(147\) 0.981660 + 0.947978i 0.0809660 + 0.0781879i
\(148\) −3.82064 + 0.536956i −0.314055 + 0.0441375i
\(149\) −20.8370 7.58404i −1.70703 0.621308i −0.710436 0.703762i \(-0.751502\pi\)
−0.996595 + 0.0824533i \(0.973724\pi\)
\(150\) 4.50989 4.20736i 0.368231 0.343530i
\(151\) −5.26706 −0.428627 −0.214314 0.976765i \(-0.568751\pi\)
−0.214314 + 0.976765i \(0.568751\pi\)
\(152\) −1.89047 4.01855i −0.153337 0.325947i
\(153\) 8.84678 6.42756i 0.715220 0.519637i
\(154\) 0.644217 2.58381i 0.0519125 0.208210i
\(155\) −6.24155 + 8.43687i −0.501333 + 0.677665i
\(156\) −3.80228 + 3.67182i −0.304426 + 0.293981i
\(157\) −4.15870 23.5851i −0.331900 1.88230i −0.455923 0.890019i \(-0.650691\pi\)
0.124022 0.992279i \(-0.460421\pi\)
\(158\) 17.7222 + 5.08175i 1.40990 + 0.404282i
\(159\) 0.956621 + 1.06244i 0.0758650 + 0.0842566i
\(160\) 11.5832 13.5652i 0.915733 1.07242i
\(161\) −0.472252 + 1.16886i −0.0372187 + 0.0921194i
\(162\) −10.8779 + 6.79726i −0.854648 + 0.534043i
\(163\) 9.65004 2.05118i 0.755850 0.160661i 0.186159 0.982520i \(-0.440396\pi\)
0.569691 + 0.821859i \(0.307063\pi\)
\(164\) 1.64874 + 0.350451i 0.128745 + 0.0273656i
\(165\) −0.0327957 0.535258i −0.00255315 0.0416698i
\(166\) −17.2761 2.42800i −1.34089 0.188449i
\(167\) −11.1277 + 10.7459i −0.861088 + 0.831543i −0.987037 0.160493i \(-0.948691\pi\)
0.125949 + 0.992037i \(0.459803\pi\)
\(168\) −1.70515 0.620625i −0.131555 0.0478823i
\(169\) −0.363726 + 0.0254342i −0.0279789 + 0.00195648i
\(170\) −19.4495 + 0.511403i −1.49171 + 0.0392228i
\(171\) −5.22974 + 10.3504i −0.399928 + 0.791517i
\(172\) 15.9082 11.5580i 1.21299 0.881286i
\(173\) 14.1800 + 8.86063i 1.07808 + 0.673661i 0.948138 0.317860i \(-0.102964\pi\)
0.129946 + 0.991521i \(0.458520\pi\)
\(174\) 3.49697 + 1.27279i 0.265104 + 0.0964901i
\(175\) 7.41188 + 13.3646i 0.560285 + 1.01027i
\(176\) −0.200522 1.13722i −0.0151149 0.0857211i
\(177\) 1.18613 + 1.51818i 0.0891551 + 0.114113i
\(178\) −1.28894 12.2634i −0.0966101 0.919184i
\(179\) −10.8087 4.81232i −0.807877 0.359690i −0.0391227 0.999234i \(-0.512456\pi\)
−0.768754 + 0.639545i \(0.779123\pi\)
\(180\) 14.7470 + 0.642276i 1.09918 + 0.0478725i
\(181\) 2.29213 + 9.19322i 0.170372 + 0.683327i 0.993338 + 0.115236i \(0.0367623\pi\)
−0.822966 + 0.568091i \(0.807682\pi\)
\(182\) −11.8268 20.4846i −0.876662 1.51842i
\(183\) −0.362134 + 0.161232i −0.0267697 + 0.0119186i
\(184\) −0.0146658 0.419972i −0.00108117 0.0309608i
\(185\) −0.693549 3.40702i −0.0509907 0.250489i
\(186\) 5.73313 0.805739i 0.420373 0.0590796i
\(187\) −1.04148 + 1.33304i −0.0761608 + 0.0974814i
\(188\) −4.33321 10.7251i −0.316032 0.782207i
\(189\) 3.11534 + 9.58804i 0.226608 + 0.697427i
\(190\) 18.0982 9.90852i 1.31298 0.718840i
\(191\) −0.337065 + 1.03738i −0.0243892 + 0.0750621i −0.962510 0.271245i \(-0.912565\pi\)
0.938121 + 0.346307i \(0.112565\pi\)
\(192\) −6.55439 + 0.458328i −0.473023 + 0.0330770i
\(193\) −10.3385 3.76291i −0.744183 0.270861i −0.0580272 0.998315i \(-0.518481\pi\)
−0.686156 + 0.727454i \(0.740703\pi\)
\(194\) −17.6458 + 17.0404i −1.26690 + 1.22343i
\(195\) −3.51230 3.21773i −0.251521 0.230427i
\(196\) 3.24946 4.81752i 0.232104 0.344109i
\(197\) −1.53379 14.5930i −0.109278 1.03971i −0.902475 0.430743i \(-0.858252\pi\)
0.793197 0.608965i \(-0.208415\pi\)
\(198\) 1.55097 1.72253i 0.110223 0.122415i
\(199\) −17.8830 15.0056i −1.26769 1.06372i −0.994818 0.101670i \(-0.967581\pi\)
−0.272874 0.962050i \(-0.587974\pi\)
\(200\) −4.06906 3.06488i −0.287726 0.216720i
\(201\) −3.65163 6.32480i −0.257566 0.446117i
\(202\) −28.2359 6.00172i −1.98667 0.422280i
\(203\) −5.15620 + 7.64437i −0.361894 + 0.536530i
\(204\) 4.27503 + 4.12834i 0.299312 + 0.289042i
\(205\) −0.224360 + 1.50233i −0.0156700 + 0.104928i
\(206\) −5.99510 8.88811i −0.417699 0.619264i
\(207\) −0.840599 + 0.705346i −0.0584256 + 0.0490249i
\(208\) −8.29834 6.02909i −0.575386 0.418042i
\(209\) 0.336340 1.76216i 0.0232652 0.121891i
\(210\) 2.39355 8.08370i 0.165171 0.557828i
\(211\) −11.7463 7.33991i −0.808649 0.505300i 0.0614892 0.998108i \(-0.480415\pi\)
−0.870138 + 0.492808i \(0.835971\pi\)
\(212\) 3.74795 4.79715i 0.257410 0.329470i
\(213\) 7.45066 + 3.96158i 0.510511 + 0.271443i
\(214\) −4.28468 + 2.27821i −0.292895 + 0.155735i
\(215\) 11.2730 + 13.6722i 0.768809 + 0.932435i
\(216\) −2.24865 2.49738i −0.153001 0.169925i
\(217\) −1.49946 + 14.2664i −0.101790 + 0.968468i
\(218\) −15.2390 12.7870i −1.03211 0.866045i
\(219\) 0.273508 + 1.09698i 0.0184820 + 0.0741271i
\(220\) −2.22034 + 0.533310i −0.149695 + 0.0359558i
\(221\) 1.57067 + 14.9440i 0.105655 + 1.00524i
\(222\) −1.07257 + 1.59015i −0.0719860 + 0.106724i
\(223\) 22.3055 11.8600i 1.49369 0.794206i 0.496418 0.868084i \(-0.334648\pi\)
0.997267 + 0.0738773i \(0.0235373\pi\)
\(224\) 4.23392 24.0117i 0.282891 1.60435i
\(225\) 0.235024 + 13.3002i 0.0156683 + 0.886677i
\(226\) −19.2700 + 16.1695i −1.28182 + 1.07558i
\(227\) −6.92502 21.3130i −0.459630 1.41459i −0.865613 0.500714i \(-0.833071\pi\)
0.405983 0.913881i \(-0.366929\pi\)
\(228\) −6.03325 1.82224i −0.399562 0.120681i
\(229\) −16.9114 + 12.2869i −1.11754 + 0.811939i −0.983834 0.179083i \(-0.942687\pi\)
−0.133704 + 0.991021i \(0.542687\pi\)
\(230\) 1.94338 0.187338i 0.128143 0.0123527i
\(231\) −0.409894 0.607693i −0.0269691 0.0399833i
\(232\) 0.533734 3.02696i 0.0350414 0.198729i
\(233\) 5.30607 10.8790i 0.347612 0.712710i −0.651325 0.758798i \(-0.725787\pi\)
0.998937 + 0.0460885i \(0.0146756\pi\)
\(234\) −0.718544 20.5764i −0.0469727 1.34512i
\(235\) 9.40825 4.48875i 0.613726 0.292814i
\(236\) 5.48939 6.09659i 0.357329 0.396854i
\(237\) 4.30377 2.68929i 0.279560 0.174688i
\(238\) −22.5535 + 14.0930i −1.46192 + 0.913511i
\(239\) 3.20654 3.56122i 0.207414 0.230356i −0.630458 0.776223i \(-0.717133\pi\)
0.837872 + 0.545867i \(0.183800\pi\)
\(240\) −0.477582 3.62458i −0.0308278 0.233965i
\(241\) −0.505997 14.4899i −0.0325942 0.933375i −0.900031 0.435827i \(-0.856456\pi\)
0.867436 0.497548i \(-0.165766\pi\)
\(242\) 10.0507 20.6070i 0.646084 1.32467i
\(243\) −2.33141 + 13.2221i −0.149560 + 0.848199i
\(244\) 0.943894 + 1.39938i 0.0604266 + 0.0895861i
\(245\) 4.51238 + 2.65734i 0.288285 + 0.169771i
\(246\) 0.677930 0.492545i 0.0432232 0.0314035i
\(247\) −8.72408 13.3348i −0.555100 0.848476i
\(248\) −1.47765 4.54773i −0.0938306 0.288781i
\(249\) −3.67875 + 3.08684i −0.233131 + 0.195620i
\(250\) 13.0567 19.7404i 0.825778 1.24849i
\(251\) 1.23666 7.01343i 0.0780571 0.442684i −0.920583 0.390547i \(-0.872286\pi\)
0.998640 0.0521364i \(-0.0166031\pi\)
\(252\) 17.8149 9.47237i 1.12224 0.596703i
\(253\) 0.0949248 0.140732i 0.00596787 0.00884773i
\(254\) −0.872332 8.29968i −0.0547349 0.520768i
\(255\) −3.47778 + 4.07285i −0.217787 + 0.255052i
\(256\) −1.40228 5.62422i −0.0876422 0.351514i
\(257\) −9.18197 7.70459i −0.572756 0.480599i 0.309803 0.950801i \(-0.399737\pi\)
−0.882559 + 0.470202i \(0.844181\pi\)
\(258\) 1.02182 9.72201i 0.0636160 0.605266i
\(259\) −3.18006 3.53182i −0.197600 0.219456i
\(260\) −10.8964 + 17.1080i −0.675766 + 1.06099i
\(261\) −7.08662 + 3.76802i −0.438651 + 0.233235i
\(262\) 12.2006 + 6.48715i 0.753753 + 0.400778i
\(263\) −4.49058 + 5.74769i −0.276901 + 0.354418i −0.906277 0.422683i \(-0.861088\pi\)
0.629376 + 0.777101i \(0.283310\pi\)
\(264\) 0.207213 + 0.129481i 0.0127531 + 0.00796902i
\(265\) 4.52153 + 3.10684i 0.277755 + 0.190852i
\(266\) 14.4437 24.2238i 0.885601 1.48526i
\(267\) −2.74605 1.99512i −0.168056 0.122100i
\(268\) −23.8228 + 19.9897i −1.45521 + 1.22107i
\(269\) 16.7684 + 24.8602i 1.02239 + 1.51575i 0.847241 + 0.531209i \(0.178262\pi\)
0.175146 + 0.984542i \(0.443960\pi\)
\(270\) 10.9422 11.1373i 0.665923 0.677794i
\(271\) 17.8321 + 17.2203i 1.08323 + 1.04606i 0.998768 + 0.0496313i \(0.0158046\pi\)
0.0844576 + 0.996427i \(0.473084\pi\)
\(272\) −6.44896 + 9.56098i −0.391026 + 0.579720i
\(273\) −6.36877 1.35372i −0.385455 0.0819311i
\(274\) −6.24893 10.8235i −0.377511 0.653869i
\(275\) −0.602073 1.96777i −0.0363064 0.118661i
\(276\) −0.456842 0.383336i −0.0274986 0.0230741i
\(277\) 9.85064 10.9402i 0.591867 0.657335i −0.370581 0.928800i \(-0.620841\pi\)
0.962448 + 0.271465i \(0.0875081\pi\)
\(278\) 5.10752 + 48.5948i 0.306328 + 2.91452i
\(279\) −6.98231 + 10.3517i −0.418020 + 0.619740i
\(280\) −6.91851 0.787509i −0.413460 0.0470627i
\(281\) 7.60131 7.34050i 0.453456 0.437897i −0.432523 0.901623i \(-0.642377\pi\)
0.885979 + 0.463726i \(0.153488\pi\)
\(282\) −5.40381 1.96682i −0.321792 0.117123i
\(283\) −30.9957 + 2.16743i −1.84250 + 0.128840i −0.948010 0.318242i \(-0.896908\pi\)
−0.894493 + 0.447082i \(0.852463\pi\)
\(284\) 11.1036 34.1734i 0.658878 2.02782i
\(285\) 1.30657 5.52725i 0.0773945 0.327406i
\(286\) 0.984237 + 3.02917i 0.0581991 + 0.179118i
\(287\) 0.777794 + 1.92511i 0.0459117 + 0.113636i
\(288\) 13.0662 16.7240i 0.769935 0.985472i
\(289\) −0.104446 + 0.0146789i −0.00614387 + 0.000863464i
\(290\) 14.1886 + 1.61504i 0.833185 + 0.0948385i
\(291\) 0.235657 + 6.74833i 0.0138145 + 0.395594i
\(292\) 4.39792 1.95808i 0.257369 0.114588i
\(293\) 9.46046 + 16.3860i 0.552686 + 0.957281i 0.998080 + 0.0619455i \(0.0197305\pi\)
−0.445393 + 0.895335i \(0.646936\pi\)
\(294\) −0.698882 2.80306i −0.0407596 0.163478i
\(295\) 5.78633 + 4.60163i 0.336893 + 0.267917i
\(296\) 1.44724 + 0.644355i 0.0841194 + 0.0374524i
\(297\) −0.141898 1.35007i −0.00823378 0.0783392i
\(298\) 28.8996 + 36.9898i 1.67411 + 2.14276i
\(299\) −0.261836 1.48494i −0.0151423 0.0858765i
\(300\) −7.09627 + 1.38096i −0.409703 + 0.0797299i
\(301\) 22.7609 + 8.28429i 1.31192 + 0.477499i
\(302\) 9.45562 + 5.90853i 0.544110 + 0.339998i
\(303\) −6.42848 + 4.67056i −0.369306 + 0.268317i
\(304\) 1.44937 12.1440i 0.0831271 0.696505i
\(305\) −1.20670 + 0.926142i −0.0690956 + 0.0530308i
\(306\) −23.0924 + 1.61478i −1.32011 + 0.0923108i
\(307\) 24.2273 + 8.81802i 1.38273 + 0.503271i 0.923003 0.384792i \(-0.125727\pi\)
0.459722 + 0.888063i \(0.347949\pi\)
\(308\) −2.24526 + 2.16822i −0.127936 + 0.123546i
\(309\) −2.92241 0.410718i −0.166250 0.0233649i
\(310\) 20.6694 8.14448i 1.17395 0.462576i
\(311\) −23.7993 5.05870i −1.34954 0.286853i −0.524249 0.851565i \(-0.675654\pi\)
−0.825288 + 0.564712i \(0.808987\pi\)
\(312\) 2.12296 0.451250i 0.120189 0.0255470i
\(313\) 5.33892 3.33613i 0.301774 0.188569i −0.370577 0.928802i \(-0.620840\pi\)
0.672351 + 0.740233i \(0.265285\pi\)
\(314\) −18.9917 + 47.0061i −1.07176 + 2.65271i
\(315\) 9.50209 + 15.5022i 0.535382 + 0.873453i
\(316\) −14.4598 16.0592i −0.813426 0.903402i
\(317\) 9.29305 + 2.66474i 0.521950 + 0.149667i 0.526259 0.850324i \(-0.323594\pi\)
−0.00430976 + 0.999991i \(0.501372\pi\)
\(318\) −0.525534 2.98045i −0.0294705 0.167135i
\(319\) 0.893144 0.862499i 0.0500064 0.0482907i
\(320\) −24.0451 + 7.58425i −1.34416 + 0.423972i
\(321\) −0.323156 + 1.29611i −0.0180368 + 0.0723417i
\(322\) 2.15902 1.56862i 0.120318 0.0874159i
\(323\) −14.6413 + 10.3260i −0.814666 + 0.574556i
\(324\) 15.0349 0.835271
\(325\) −15.9889 8.85830i −0.886906 0.491370i
\(326\) −19.6251 7.14296i −1.08693 0.395612i
\(327\) −5.42260 + 0.762097i −0.299870 + 0.0421440i
\(328\) −0.497863 0.480781i −0.0274899 0.0265467i
\(329\) 7.96779 11.8127i 0.439278 0.651257i
\(330\) −0.541571 + 0.997706i −0.0298125 + 0.0549219i
\(331\) 0.137142 1.30482i 0.00753802 0.0717195i −0.990106 0.140320i \(-0.955187\pi\)
0.997644 + 0.0686007i \(0.0218535\pi\)
\(332\) 15.6647 + 13.1443i 0.859713 + 0.721385i
\(333\) −1.00077 4.01389i −0.0548421 0.219960i
\(334\) 32.0315 6.80851i 1.75269 0.372545i
\(335\) −19.2934 20.3266i −1.05411 1.11056i
\(336\) −3.07659 3.93786i −0.167842 0.214828i
\(337\) −32.4348 4.55842i −1.76684 0.248313i −0.820535 0.571596i \(-0.806325\pi\)
−0.946302 + 0.323283i \(0.895213\pi\)
\(338\) 0.681506 + 0.362363i 0.0370690 + 0.0197100i
\(339\) −0.241658 + 6.92017i −0.0131250 + 0.375852i
\(340\) 19.6509 + 11.5724i 1.06572 + 0.627603i
\(341\) 0.596902 1.83707i 0.0323240 0.0994832i
\(342\) 20.9996 12.7148i 1.13553 0.687538i
\(343\) −14.2372 −0.768737
\(344\) −8.05437 + 0.563216i −0.434262 + 0.0303666i
\(345\) 0.319628 0.432049i 0.0172082 0.0232608i
\(346\) −15.5167 31.8139i −0.834181 1.71032i
\(347\) 4.76454 + 4.60106i 0.255774 + 0.246998i 0.811479 0.584382i \(-0.198663\pi\)
−0.555705 + 0.831379i \(0.687552\pi\)
\(348\) −2.68549 3.43727i −0.143957 0.184257i
\(349\) −9.86241 + 17.0822i −0.527923 + 0.914389i 0.471548 + 0.881841i \(0.343696\pi\)
−0.999470 + 0.0325482i \(0.989638\pi\)
\(350\) 1.68616 32.3072i 0.0901290 1.72689i
\(351\) −9.23714 7.75088i −0.493042 0.413711i
\(352\) −1.22989 + 3.04409i −0.0655535 + 0.162251i
\(353\) 32.2466 + 14.3571i 1.71631 + 0.764152i 0.997629 + 0.0688153i \(0.0219219\pi\)
0.718684 + 0.695337i \(0.244745\pi\)
\(354\) −0.426311 4.05608i −0.0226582 0.215578i
\(355\) 31.3504 + 8.10417i 1.66391 + 0.430125i
\(356\) −6.33600 + 12.9907i −0.335808 + 0.688508i
\(357\) −1.27121 + 7.20937i −0.0672794 + 0.381560i
\(358\) 14.0057 + 20.7643i 0.740224 + 1.09743i
\(359\) −12.5304 31.0137i −0.661327 1.63684i −0.766390 0.642375i \(-0.777949\pi\)
0.105063 0.994466i \(-0.466495\pi\)
\(360\) −4.99540 3.43245i −0.263281 0.180906i
\(361\) 8.80615 16.8360i 0.463482 0.886106i
\(362\) 6.19794 19.0753i 0.325756 1.00258i
\(363\) −2.36419 5.85159i −0.124088 0.307129i
\(364\) −0.967592 + 27.7082i −0.0507156 + 1.45231i
\(365\) 2.00364 + 3.84795i 0.104876 + 0.201411i
\(366\) 0.830985 + 0.116787i 0.0434363 + 0.00610457i
\(367\) −13.3748 3.83515i −0.698156 0.200193i −0.0922580 0.995735i \(-0.529408\pi\)
−0.605898 + 0.795542i \(0.707186\pi\)
\(368\) 0.578636 1.00223i 0.0301635 0.0522447i
\(369\) −0.188912 + 1.79738i −0.00983438 + 0.0935678i
\(370\) −2.57687 + 6.89443i −0.133965 + 0.358424i
\(371\) 7.48055 + 0.523091i 0.388371 + 0.0271575i
\(372\) −6.19933 2.76012i −0.321420 0.143105i
\(373\) −21.3226 4.53225i −1.10404 0.234671i −0.380383 0.924829i \(-0.624208\pi\)
−0.723659 + 0.690158i \(0.757541\pi\)
\(374\) 3.36510 1.22480i 0.174005 0.0633327i
\(375\) −1.63325 6.30688i −0.0843406 0.325686i
\(376\) −0.824771 + 4.67751i −0.0425343 + 0.241224i
\(377\) 0.384899 11.0221i 0.0198233 0.567666i
\(378\) 5.16297 20.7076i 0.265555 1.06508i
\(379\) −19.8749 + 14.4400i −1.02090 + 0.741731i −0.966468 0.256787i \(-0.917336\pi\)
−0.0544366 + 0.998517i \(0.517336\pi\)
\(380\) −24.1445 1.39209i −1.23859 0.0714126i
\(381\) −1.85848 1.35026i −0.0952128 0.0691762i
\(382\) 1.76883 1.48423i 0.0905013 0.0759396i
\(383\) 3.27379 + 4.85360i 0.167283 + 0.248007i 0.903353 0.428898i \(-0.141098\pi\)
−0.736070 + 0.676906i \(0.763320\pi\)
\(384\) 4.07215 + 2.16520i 0.207806 + 0.110493i
\(385\) −2.07403 1.90008i −0.105702 0.0968373i
\(386\) 14.3389 + 18.3530i 0.729831 + 0.934141i
\(387\) 14.1075 + 15.6680i 0.717126 + 0.796449i
\(388\) 28.1247 5.97809i 1.42781 0.303491i
\(389\) −6.19633 + 15.3365i −0.314166 + 0.777589i 0.684646 + 0.728875i \(0.259957\pi\)
−0.998813 + 0.0487136i \(0.984488\pi\)
\(390\) 2.69580 + 9.71665i 0.136507 + 0.492022i
\(391\) −1.65828 + 0.352478i −0.0838628 + 0.0178256i
\(392\) −2.17976 + 0.970490i −0.110094 + 0.0490171i
\(393\) 3.57424 1.30092i 0.180297 0.0656226i
\(394\) −13.6168 + 27.9185i −0.686002 + 1.40651i
\(395\) 13.6481 13.8914i 0.686712 0.698954i
\(396\) −2.61162 + 0.748871i −0.131239 + 0.0376322i
\(397\) −8.24474 + 33.0678i −0.413792 + 1.65963i 0.295979 + 0.955194i \(0.404354\pi\)
−0.709771 + 0.704433i \(0.751201\pi\)
\(398\) 15.2711 + 46.9996i 0.765471 + 2.35588i
\(399\) −2.29491 7.41641i −0.114889 0.371285i
\(400\) −5.03035 13.0961i −0.251518 0.654803i
\(401\) 8.36398 7.01821i 0.417677 0.350473i −0.409601 0.912265i \(-0.634332\pi\)
0.827279 + 0.561792i \(0.189888\pi\)
\(402\) −0.539557 + 15.4509i −0.0269106 + 0.770620i
\(403\) −7.52148 15.4213i −0.374671 0.768190i
\(404\) 24.3392 + 23.5041i 1.21092 + 1.16937i
\(405\) 0.828606 + 13.5237i 0.0411738 + 0.671996i
\(406\) 17.8320 7.93930i 0.884986 0.394021i
\(407\) 0.319974 + 0.554211i 0.0158605 + 0.0274712i
\(408\) −0.590348 2.36776i −0.0292266 0.117221i
\(409\) 27.4503 17.1528i 1.35733 0.848153i 0.360900 0.932604i \(-0.382469\pi\)
0.996428 + 0.0844518i \(0.0269139\pi\)
\(410\) 2.08808 2.44536i 0.103123 0.120768i
\(411\) −3.36506 0.715266i −0.165986 0.0352815i
\(412\) 0.438561 + 12.5587i 0.0216063 + 0.618724i
\(413\) 10.0071 + 1.40640i 0.492416 + 0.0692046i
\(414\) 2.30032 0.323289i 0.113055 0.0158888i
\(415\) −10.9598 + 14.8146i −0.537993 + 0.727220i
\(416\) 10.9247 + 27.0395i 0.535625 + 1.32572i
\(417\) 10.8814 + 7.90582i 0.532866 + 0.387150i
\(418\) −2.58058 + 2.78618i −0.126220 + 0.136277i
\(419\) −6.66568 4.84290i −0.325640 0.236591i 0.412939 0.910759i \(-0.364502\pi\)
−0.738578 + 0.674168i \(0.764502\pi\)
\(420\) −7.40030 + 6.54866i −0.361098 + 0.319542i
\(421\) 19.6917 5.64650i 0.959714 0.275194i 0.241020 0.970520i \(-0.422518\pi\)
0.718694 + 0.695327i \(0.244740\pi\)
\(422\) 12.8536 + 26.3537i 0.625703 + 1.28288i
\(423\) 10.9508 5.82266i 0.532448 0.283107i
\(424\) −2.34890 + 0.854931i −0.114073 + 0.0415191i
\(425\) −9.32623 + 18.3135i −0.452388 + 0.888336i
\(426\) −8.93163 15.4700i −0.432739 0.749526i
\(427\) −0.778894 + 1.92783i −0.0376933 + 0.0932942i
\(428\) 5.67414 + 0.396774i 0.274270 + 0.0191788i
\(429\) 0.800941 + 0.356602i 0.0386698 + 0.0172169i
\(430\) −4.90033 37.1907i −0.236315 1.79349i
\(431\) 19.9169 + 5.71108i 0.959364 + 0.275093i 0.718548 0.695478i \(-0.244807\pi\)
0.240816 + 0.970571i \(0.422585\pi\)
\(432\) −1.60705 9.11406i −0.0773195 0.438500i
\(433\) −10.5272 + 10.1660i −0.505905 + 0.488547i −0.903245 0.429125i \(-0.858822\pi\)
0.397340 + 0.917671i \(0.369933\pi\)
\(434\) 18.6958 23.9295i 0.897428 1.14866i
\(435\) 2.94377 2.60499i 0.141143 0.124900i
\(436\) 7.20542 + 22.1760i 0.345077 + 1.06204i
\(437\) 1.39336 1.13616i 0.0666537 0.0543498i
\(438\) 0.739569 2.27616i 0.0353379 0.108759i
\(439\) 1.08533 + 0.678192i 0.0518001 + 0.0323683i 0.555572 0.831468i \(-0.312499\pi\)
−0.503772 + 0.863837i \(0.668055\pi\)
\(440\) 0.889201 + 0.297416i 0.0423910 + 0.0141787i
\(441\) 5.50126 + 2.92507i 0.261965 + 0.139289i
\(442\) 13.9442 28.5899i 0.663259 1.35988i
\(443\) −10.5537 + 3.84123i −0.501422 + 0.182503i −0.580333 0.814379i \(-0.697078\pi\)
0.0789117 + 0.996882i \(0.474855\pi\)
\(444\) 2.05385 0.914432i 0.0974713 0.0433970i
\(445\) −12.0342 4.98320i −0.570475 0.236226i
\(446\) −53.3481 3.73046i −2.52610 0.176642i
\(447\) 12.8897 + 0.901338i 0.609664 + 0.0426318i
\(448\) −23.0604 + 25.6111i −1.08950 + 1.21001i
\(449\) 13.4616 23.3162i 0.635292 1.10036i −0.351162 0.936315i \(-0.614213\pi\)
0.986453 0.164043i \(-0.0524535\pi\)
\(450\) 14.4980 24.1406i 0.683444 1.13800i
\(451\) −0.0485488 0.275334i −0.00228608 0.0129650i
\(452\) 29.1982 4.10354i 1.37337 0.193014i
\(453\) 2.95029 0.845982i 0.138617 0.0397477i
\(454\) −11.4767 + 46.0303i −0.538626 + 2.16031i
\(455\) −24.9765 + 0.656727i −1.17092 + 0.0307879i
\(456\) 1.70438 + 1.94730i 0.0798147 + 0.0911909i
\(457\) 6.31591 0.295446 0.147723 0.989029i \(-0.452806\pi\)
0.147723 + 0.989029i \(0.452806\pi\)
\(458\) 44.1433 3.08680i 2.06268 0.144237i
\(459\) −8.34681 + 10.6834i −0.389596 + 0.498660i
\(460\) −2.04813 1.02088i −0.0954944 0.0475989i
\(461\) 10.7272 5.70374i 0.499614 0.265650i −0.200483 0.979697i \(-0.564251\pi\)
0.700097 + 0.714048i \(0.253140\pi\)
\(462\) 0.0541540 + 1.55077i 0.00251947 + 0.0721483i
\(463\) −0.990471 1.10003i −0.0460311 0.0511227i 0.719690 0.694296i \(-0.244284\pi\)
−0.765721 + 0.643173i \(0.777617\pi\)
\(464\) 5.66390 6.29040i 0.262940 0.292024i
\(465\) 2.14103 5.72832i 0.0992878 0.265645i
\(466\) −21.7296 + 13.5782i −1.00661 + 0.628997i
\(467\) 2.51108 23.8913i 0.116199 1.10556i −0.768646 0.639674i \(-0.779069\pi\)
0.884845 0.465885i \(-0.154264\pi\)
\(468\) −12.0665 + 20.8997i −0.557772 + 0.966089i
\(469\) −36.8232 10.5589i −1.70034 0.487564i
\(470\) −21.9255 2.49570i −1.01135 0.115118i
\(471\) 6.11763 + 12.5430i 0.281886 + 0.577951i
\(472\) −3.23805 + 0.928495i −0.149043 + 0.0427374i
\(473\) −2.76595 1.72835i −0.127178 0.0794698i
\(474\) −10.7431 −0.493447
\(475\) −0.0784942 21.7944i −0.00360156 0.999994i
\(476\) 31.1722 1.42878
\(477\) 5.53540 + 3.45890i 0.253449 + 0.158372i
\(478\) −9.75144 + 2.79618i −0.446020 + 0.127894i
\(479\) −14.9480 30.6480i −0.682994 1.40034i −0.905048 0.425310i \(-0.860165\pi\)
0.222054 0.975034i \(-0.428724\pi\)
\(480\) −4.30941 + 9.45884i −0.196697 + 0.431735i
\(481\) 5.46420 + 1.56683i 0.249146 + 0.0714415i
\(482\) −15.3462 + 26.5804i −0.699000 + 1.21070i
\(483\) 0.0767870 0.730579i 0.00349393 0.0332425i
\(484\) −22.7903 + 14.2410i −1.03592 + 0.647317i
\(485\) 6.92722 + 24.9683i 0.314549 + 1.13375i
\(486\) 19.0179 21.1215i 0.862667 0.958089i
\(487\) −16.2772 18.0777i −0.737591 0.819178i 0.251286 0.967913i \(-0.419147\pi\)
−0.988877 + 0.148735i \(0.952480\pi\)
\(488\) −0.0241885 0.692668i −0.00109496 0.0313556i
\(489\) −5.07592 + 2.69891i −0.229541 + 0.122049i
\(490\) −5.11982 9.83249i −0.231290 0.444187i
\(491\) 11.5653 14.8029i 0.521933 0.668043i −0.452750 0.891638i \(-0.649557\pi\)
0.974682 + 0.223594i \(0.0717791\pi\)
\(492\) −0.979813 + 0.0685152i −0.0441734 + 0.00308891i
\(493\) −12.4000 −0.558469
\(494\) 0.702920 + 33.7258i 0.0316259 + 1.51739i
\(495\) −0.817531 2.30785i −0.0367453 0.103730i
\(496\) 3.18576 12.7774i 0.143045 0.573722i
\(497\) 42.5466 12.2000i 1.90848 0.547246i
\(498\) 10.0670 1.41483i 0.451114 0.0633999i
\(499\) 4.18956 + 23.7602i 0.187551 + 1.06365i 0.922634 + 0.385676i \(0.126032\pi\)
−0.735084 + 0.677976i \(0.762857\pi\)
\(500\) −25.2401 + 11.5124i −1.12877 + 0.514852i
\(501\) 4.50709 7.80651i 0.201362 0.348769i
\(502\) −10.0877 + 11.2035i −0.450235 + 0.500037i
\(503\) −0.155256 0.0108566i −0.00692253 0.000484071i 0.0662948 0.997800i \(-0.478882\pi\)
−0.0732173 + 0.997316i \(0.523327\pi\)
\(504\) −8.26453 0.577913i −0.368132 0.0257423i
\(505\) −19.8002 + 23.1882i −0.881099 + 1.03186i
\(506\) −0.328284 + 0.146161i −0.0145940 + 0.00649766i
\(507\) 0.199652 0.0726674i 0.00886686 0.00322727i
\(508\) −4.28810 + 8.79190i −0.190254 + 0.390077i
\(509\) 28.0139 + 14.8953i 1.24170 + 0.660221i 0.954660 0.297699i \(-0.0962190\pi\)
0.287036 + 0.957920i \(0.407330\pi\)
\(510\) 10.8123 3.41039i 0.478777 0.151015i
\(511\) 5.02897 + 3.14245i 0.222468 + 0.139014i
\(512\) −8.68332 + 26.7245i −0.383752 + 1.18107i
\(513\) 2.69555 14.1225i 0.119011 0.623524i
\(514\) 7.84090 + 24.1318i 0.345847 + 1.06441i
\(515\) −11.2722 + 1.08662i −0.496714 + 0.0478822i
\(516\) −7.05438 + 9.02920i −0.310552 + 0.397488i
\(517\) −1.38016 + 1.33281i −0.0606994 + 0.0586167i
\(518\) 1.74701 + 9.90781i 0.0767594 + 0.435324i
\(519\) −9.36593 2.68564i −0.411119 0.117886i
\(520\) 7.51682 3.58633i 0.329634 0.157271i
\(521\) 10.6526 + 4.74285i 0.466699 + 0.207788i 0.626594 0.779346i \(-0.284449\pi\)
−0.159894 + 0.987134i \(0.551115\pi\)
\(522\) 16.9491 + 1.18520i 0.741841 + 0.0518746i
\(523\) 6.67827 16.5293i 0.292020 0.722776i −0.707845 0.706368i \(-0.750333\pi\)
0.999865 0.0164079i \(-0.00522303\pi\)
\(524\) −8.09824 14.0266i −0.353773 0.612753i
\(525\) −6.29827 6.29556i −0.274879 0.274761i
\(526\) 14.5094 5.28097i 0.632638 0.230261i
\(527\) −17.0330 + 9.05660i −0.741969 + 0.394512i
\(528\) 0.294978 + 0.604794i 0.0128373 + 0.0263203i
\(529\) −21.9455 + 6.29277i −0.954152 + 0.273599i
\(530\) −4.63200 10.6497i −0.201201 0.462594i
\(531\) 7.11620 + 5.17022i 0.308817 + 0.224369i
\(532\) −29.4036 + 15.1075i −1.27481 + 0.654993i
\(533\) −2.00912 1.45971i −0.0870249 0.0632273i
\(534\) 2.69171 + 6.66221i 0.116482 + 0.288302i
\(535\) −0.0441783 + 5.12568i −0.00191000 + 0.221602i
\(536\) 12.6450 1.77714i 0.546182 0.0767609i
\(537\) 6.82730 + 0.959514i 0.294620 + 0.0414061i
\(538\) −2.21539 63.4405i −0.0955123 2.73511i
\(539\) −0.942789 0.200396i −0.0406088 0.00863167i
\(540\) −17.7946 + 4.27413i −0.765756 + 0.183929i
\(541\) −30.3978 + 18.9946i −1.30690 + 0.816643i −0.991220 0.132223i \(-0.957789\pi\)
−0.315681 + 0.948865i \(0.602233\pi\)
\(542\) −12.6954 50.9184i −0.545313 2.18713i
\(543\) −2.76050 4.78133i −0.118465 0.205187i
\(544\) 29.9542 13.3365i 1.28427 0.571796i
\(545\) −19.5499 + 7.70335i −0.837426 + 0.329975i
\(546\) 9.91486 + 9.57467i 0.424317 + 0.409758i
\(547\) −4.07042 8.34560i −0.174039 0.356832i 0.793888 0.608063i \(-0.208053\pi\)
−0.967927 + 0.251231i \(0.919165\pi\)
\(548\) −0.511246 + 14.6402i −0.0218394 + 0.625397i
\(549\) −1.38641 + 1.16334i −0.0591707 + 0.0496501i
\(550\) −1.12656 + 4.20802i −0.0480368 + 0.179431i
\(551\) 11.6965 6.00962i 0.498286 0.256018i
\(552\) 0.0756698 + 0.232888i 0.00322072 + 0.00991235i
\(553\) 6.43973 25.8283i 0.273845 1.09833i
\(554\) −29.9569 + 8.58999i −1.27275 + 0.364954i
\(555\) 0.935711 + 1.79701i 0.0397187 + 0.0762789i
\(556\) 25.1069 51.4767i 1.06477 2.18310i
\(557\) −18.2882 + 6.65635i −0.774895 + 0.282039i −0.699042 0.715080i \(-0.746390\pi\)
−0.0758526 + 0.997119i \(0.524168\pi\)
\(558\) 24.1473 10.7511i 1.02224 0.455129i
\(559\) −28.3379 + 6.02341i −1.19857 + 0.254763i
\(560\) −15.0086 11.9357i −0.634229 0.504377i
\(561\) 0.369267 0.913968i 0.0155905 0.0385878i
\(562\) −21.8806 + 4.65087i −0.922979 + 0.196185i
\(563\) −16.4712 18.2931i −0.694178 0.770963i 0.288260 0.957552i \(-0.406923\pi\)
−0.982438 + 0.186589i \(0.940257\pi\)
\(564\) 4.14984 + 5.31155i 0.174740 + 0.223657i
\(565\) 5.30026 + 26.0372i 0.222984 + 1.09540i
\(566\) 58.0760 + 30.8796i 2.44112 + 1.29796i
\(567\) 10.3563 + 15.3538i 0.434922 + 0.644798i
\(568\) −11.3022 + 9.48369i −0.474231 + 0.397927i
\(569\) −6.27612 4.55987i −0.263109 0.191160i 0.448408 0.893829i \(-0.351991\pi\)
−0.711516 + 0.702669i \(0.751991\pi\)
\(570\) −8.54601 + 8.45704i −0.357953 + 0.354226i
\(571\) −34.8472 + 25.3180i −1.45831 + 1.05953i −0.474512 + 0.880249i \(0.657376\pi\)
−0.983799 + 0.179276i \(0.942624\pi\)
\(572\) 0.903167 3.62240i 0.0377633 0.151460i
\(573\) 0.0221822 0.635215i 0.000926675 0.0265365i
\(574\) 0.763239 4.32855i 0.0318570 0.180670i
\(575\) 0.805392 1.89852i 0.0335872 0.0791739i
\(576\) −28.1889 + 10.2599i −1.17454 + 0.427496i
\(577\) 7.17647 + 1.52541i 0.298760 + 0.0635035i 0.354853 0.934922i \(-0.384531\pi\)
−0.0560927 + 0.998426i \(0.517864\pi\)
\(578\) 0.203971 + 0.0908139i 0.00848409 + 0.00377736i
\(579\) 6.39541 + 0.447210i 0.265784 + 0.0185854i
\(580\) −13.1007 10.4184i −0.543975 0.432602i
\(581\) −2.63296 + 25.0510i −0.109234 + 1.03929i
\(582\) 7.14714 12.3792i 0.296259 0.513135i
\(583\) −0.970630 0.278324i −0.0401994 0.0115270i
\(584\) −1.95748 0.275106i −0.0810012 0.0113840i
\(585\) −19.4640 9.70177i −0.804737 0.401119i
\(586\) 1.39786 40.0294i 0.0577450 1.65360i
\(587\) 1.45060 + 3.59036i 0.0598726 + 0.148190i 0.954155 0.299314i \(-0.0967576\pi\)
−0.894282 + 0.447504i \(0.852313\pi\)
\(588\) −1.04637 + 3.22040i −0.0431517 + 0.132807i
\(589\) 11.6773 16.7977i 0.481156 0.692138i
\(590\) −5.22577 14.7521i −0.215141 0.607333i
\(591\) 3.20302 + 7.92776i 0.131755 + 0.326105i
\(592\) 2.43963 + 3.61690i 0.100268 + 0.148654i
\(593\) 7.39420 41.9346i 0.303643 1.72205i −0.326179 0.945308i \(-0.605761\pi\)
0.629822 0.776739i \(-0.283128\pi\)
\(594\) −1.25976 + 2.58288i −0.0516884 + 0.105977i
\(595\) 1.71797 + 28.0390i 0.0704300 + 1.14949i
\(596\) −5.75122 54.7192i −0.235579 2.24139i
\(597\) 12.4271 + 5.53292i 0.508609 + 0.226447i
\(598\) −1.19574 + 2.95955i −0.0488973 + 0.121025i
\(599\) 18.5984 + 15.6059i 0.759909 + 0.637639i 0.938103 0.346356i \(-0.112581\pi\)
−0.178194 + 0.983995i \(0.557025\pi\)
\(600\) 2.77152 + 1.06320i 0.113147 + 0.0434049i
\(601\) 18.6757 32.3472i 0.761796 1.31947i −0.180128 0.983643i \(-0.557651\pi\)
0.941924 0.335827i \(-0.109016\pi\)
\(602\) −31.5680 40.4052i −1.28662 1.64679i
\(603\) −23.9856 23.1626i −0.976769 0.943254i
\(604\) −5.72911 11.7464i −0.233114 0.477955i
\(605\) −14.0656 19.7147i −0.571847 0.801518i
\(606\) 16.7800 1.17337i 0.681642 0.0476650i
\(607\) 8.59590 0.348897 0.174448 0.984666i \(-0.444186\pi\)
0.174448 + 0.984666i \(0.444186\pi\)
\(608\) −21.7912 + 27.0969i −0.883749 + 1.09893i
\(609\) 1.66037 5.11009i 0.0672816 0.207071i
\(610\) 3.20525 0.308980i 0.129777 0.0125102i
\(611\) −0.594778 + 17.0322i −0.0240622 + 0.689050i
\(612\) 23.9574 + 12.7384i 0.968420 + 0.514918i
\(613\) −5.98281 0.840828i −0.241643 0.0339607i 0.0173117 0.999850i \(-0.494489\pi\)
−0.258955 + 0.965889i \(0.583378\pi\)
\(614\) −33.6018 43.0083i −1.35606 1.73568i
\(615\) −0.115628 0.877552i −0.00466258 0.0353863i
\(616\) 1.25362 0.266465i 0.0505097 0.0107362i
\(617\) −1.29770 5.20478i −0.0522433 0.209536i 0.938501 0.345276i \(-0.112215\pi\)
−0.990745 + 0.135739i \(0.956659\pi\)
\(618\) 4.78568 + 4.01566i 0.192508 + 0.161534i
\(619\) 0.292801 2.78582i 0.0117687 0.111972i −0.987060 0.160348i \(-0.948738\pi\)
0.998829 + 0.0483769i \(0.0154049\pi\)
\(620\) −25.6047 4.74269i −1.02831 0.190471i
\(621\) 0.760759 1.12787i 0.0305282 0.0452599i
\(622\) 37.0506 + 35.7794i 1.48560 + 1.43462i
\(623\) −17.6306 + 2.47782i −0.706356 + 0.0992718i
\(624\) 5.61660 + 2.04428i 0.224844 + 0.0818366i
\(625\) −11.7463 22.0686i −0.469852 0.882745i
\(626\) −13.3271 −0.532656
\(627\) 0.0946353 + 1.04108i 0.00377937 + 0.0415765i
\(628\) 48.0752 34.9287i 1.91841 1.39381i
\(629\) 1.54616 6.20132i 0.0616495 0.247263i
\(630\) 0.331742 38.4895i 0.0132169 1.53346i
\(631\) 14.6599 14.1569i 0.583601 0.563577i −0.343137 0.939285i \(-0.611489\pi\)
0.926738 + 0.375708i \(0.122601\pi\)
\(632\) 1.54081 + 8.73837i 0.0612902 + 0.347594i
\(633\) 7.75849 + 2.22471i 0.308372 + 0.0884243i
\(634\) −13.6940 15.2087i −0.543856 0.604014i
\(635\) −8.14452 3.37254i −0.323205 0.133835i
\(636\) −1.32887 + 3.28906i −0.0526930 + 0.130420i
\(637\) −7.26058 + 4.53691i −0.287675 + 0.179759i
\(638\) −2.57095 + 0.546471i −0.101785 + 0.0216350i
\(639\) 37.6846 + 8.01011i 1.49078 + 0.316875i
\(640\) 17.1346 + 4.42933i 0.677303 + 0.175085i
\(641\) −48.7221 6.84745i −1.92441 0.270458i −0.929307 0.369309i \(-0.879594\pi\)
−0.995102 + 0.0988507i \(0.968483\pi\)
\(642\) 2.03410 1.96431i 0.0802795 0.0775250i
\(643\) 25.6075 + 9.32036i 1.00986 + 0.367559i 0.793379 0.608728i \(-0.208320\pi\)
0.216481 + 0.976287i \(0.430542\pi\)
\(644\) −3.12044 + 0.218203i −0.122963 + 0.00859839i
\(645\) −8.51042 5.84770i −0.335098 0.230253i
\(646\) 37.8683 2.11319i 1.48991 0.0831423i
\(647\) 10.0407 7.29498i 0.394740 0.286795i −0.372655 0.927970i \(-0.621553\pi\)
0.767395 + 0.641175i \(0.221553\pi\)
\(648\) −5.23538 3.27143i −0.205665 0.128514i
\(649\) −1.27867 0.465399i −0.0501923 0.0182685i
\(650\) 18.7668 + 33.8390i 0.736094 + 1.32727i
\(651\) −1.45153 8.23203i −0.0568899 0.322639i
\(652\) 15.0711 + 19.2901i 0.590228 + 0.755458i
\(653\) 5.15440 + 49.0408i 0.201707 + 1.91912i 0.362238 + 0.932086i \(0.382013\pi\)
−0.160530 + 0.987031i \(0.551320\pi\)
\(654\) 10.5898 + 4.71487i 0.414092 + 0.184366i
\(655\) 12.1704 8.05729i 0.475536 0.314824i
\(656\) −0.461107 1.84940i −0.0180032 0.0722069i
\(657\) 2.58086 + 4.47018i 0.100689 + 0.174398i
\(658\) −27.5555 + 12.2685i −1.07422 + 0.478275i
\(659\) −0.0298896 0.855928i −0.00116434 0.0333422i 0.998670 0.0515657i \(-0.0164212\pi\)
−0.999834 + 0.0182235i \(0.994199\pi\)
\(660\) 1.15804 0.655354i 0.0450767 0.0255096i
\(661\) −9.80645 + 1.37821i −0.381427 + 0.0536060i −0.327281 0.944927i \(-0.606132\pi\)
−0.0541456 + 0.998533i \(0.517243\pi\)
\(662\) −1.70994 + 2.18862i −0.0664586 + 0.0850631i
\(663\) −3.28006 8.11842i −0.127387 0.315293i
\(664\) −2.59465 7.98552i −0.100692 0.309898i
\(665\) −15.2095 25.6155i −0.589798 0.993327i
\(666\) −2.70611 + 8.32854i −0.104859 + 0.322724i
\(667\) 1.24128 0.0867989i 0.0480627 0.00336087i
\(668\) −36.0690 13.1281i −1.39555 0.507940i
\(669\) −10.5893 + 10.2259i −0.409404 + 0.395357i
\(670\) 11.8341 + 58.1342i 0.457189 + 2.24592i
\(671\) 0.156561 0.232111i 0.00604397 0.00896056i
\(672\) 1.48512 + 14.1300i 0.0572897 + 0.545075i
\(673\) 30.6945 34.0897i 1.18319 1.31406i 0.244352 0.969687i \(-0.421425\pi\)
0.938833 0.344374i \(-0.111909\pi\)
\(674\) 53.1146 + 44.5685i 2.04590 + 1.71671i
\(675\) −4.82522 15.7704i −0.185723 0.607003i
\(676\) −0.452356 0.783503i −0.0173983 0.0301347i
\(677\) 32.1706 + 6.83807i 1.23642 + 0.262808i 0.779330 0.626614i \(-0.215560\pi\)
0.457087 + 0.889422i \(0.348893\pi\)
\(678\) 8.19680 12.1523i 0.314796 0.466705i
\(679\) 25.4776 + 24.6034i 0.977741 + 0.944193i
\(680\) −4.32473 8.30554i −0.165846 0.318503i
\(681\) 7.30222 + 10.8260i 0.279822 + 0.414853i
\(682\) −3.13239 + 2.62839i −0.119945 + 0.100646i
\(683\) −19.7048 14.3164i −0.753984 0.547801i 0.143075 0.989712i \(-0.454301\pi\)
−0.897059 + 0.441910i \(0.854301\pi\)
\(684\) −28.7717 0.404769i −1.10011 0.0154767i
\(685\) −13.1968 + 0.346995i −0.504224 + 0.0132580i
\(686\) 25.5592 + 15.9711i 0.975854 + 0.609781i
\(687\) 7.49927 9.59863i 0.286115 0.366210i
\(688\) −19.6325 10.4388i −0.748482 0.397975i
\(689\) −7.91931 + 4.21077i −0.301702 + 0.160418i
\(690\) −1.05848 + 0.417076i −0.0402955 + 0.0158778i
\(691\) −12.4242 13.7985i −0.472639 0.524918i 0.458936 0.888470i \(-0.348231\pi\)
−0.931574 + 0.363551i \(0.881564\pi\)
\(692\) −4.33677 + 41.2616i −0.164859 + 1.56853i
\(693\) −2.56368 2.15118i −0.0973862 0.0817167i
\(694\) −3.39206 13.6048i −0.128761 0.516431i
\(695\) 47.6863 + 19.7463i 1.80884 + 0.749019i
\(696\) 0.187216 + 1.78125i 0.00709642 + 0.0675179i
\(697\) −1.56137 + 2.31483i −0.0591411 + 0.0876803i
\(698\) 36.8680 19.6030i 1.39547 0.741986i
\(699\) −1.22477 + 6.94603i −0.0463252 + 0.262723i
\(700\) −21.7432 + 31.0667i −0.821814 + 1.17421i
\(701\) 28.3593 23.7963i 1.07112 0.898775i 0.0759645 0.997111i \(-0.475796\pi\)
0.995153 + 0.0983360i \(0.0313520\pi\)
\(702\) 7.88801 + 24.2768i 0.297714 + 0.916268i
\(703\) 1.54701 + 6.59881i 0.0583465 + 0.248879i
\(704\) 3.75433 2.72768i 0.141497 0.102803i
\(705\) −4.54896 + 4.02546i −0.171324 + 0.151607i
\(706\) −41.7847 61.9483i −1.57259 2.33146i
\(707\) −7.23743 + 41.0455i −0.272191 + 1.54367i
\(708\) −2.09561 + 4.29663i −0.0787577 + 0.161477i
\(709\) −0.142467 4.07972i −0.00535046 0.153217i −0.999126 0.0418118i \(-0.986687\pi\)
0.993775 0.111405i \(-0.0355352\pi\)
\(710\) −47.1903 49.7175i −1.77102 1.86586i
\(711\) 15.5038 17.2188i 0.581439 0.645754i
\(712\) 5.03294 3.14493i 0.188618 0.117861i
\(713\) 1.64166 1.02582i 0.0614807 0.0384174i
\(714\) 10.3695 11.5165i 0.388069 0.430994i
\(715\) 3.30808 + 0.612747i 0.123715 + 0.0229154i
\(716\) −1.02456 29.3396i −0.0382896 1.09647i
\(717\) −1.22412 + 2.50981i −0.0457154 + 0.0937305i
\(718\) −12.2959 + 69.7334i −0.458878 + 2.60243i
\(719\) −11.0250 16.3452i −0.411163 0.609574i 0.565397 0.824819i \(-0.308723\pi\)
−0.976560 + 0.215245i \(0.930945\pi\)
\(720\) −6.65736 15.3064i −0.248105 0.570434i
\(721\) −12.5230 + 9.09851i −0.466382 + 0.338846i
\(722\) −34.6956 + 20.3460i −1.29124 + 0.757200i
\(723\) 2.61075 + 8.03508i 0.0970950 + 0.298828i
\(724\) −18.0092 + 15.1115i −0.669307 + 0.561615i
\(725\) 8.64922 12.3580i 0.321224 0.458966i
\(726\) −2.31995 + 13.1571i −0.0861016 + 0.488306i
\(727\) 22.3503 11.8838i 0.828926 0.440748i −7.18072e−5 1.00000i \(-0.500023\pi\)
0.828997 + 0.559252i \(0.188912\pi\)
\(728\) 6.36595 9.43791i 0.235938 0.349792i
\(729\) 1.08233 + 10.2977i 0.0400862 + 0.381394i
\(730\) 0.719572 9.15565i 0.0266326 0.338866i
\(731\) 7.88014 + 31.6055i 0.291457 + 1.16897i
\(732\) −0.753477 0.632242i −0.0278493 0.0233684i
\(733\) −1.24562 + 11.8513i −0.0460080 + 0.437737i 0.947135 + 0.320834i \(0.103963\pi\)
−0.993143 + 0.116903i \(0.962703\pi\)
\(734\) 19.7086 + 21.8886i 0.727459 + 0.807925i
\(735\) −2.95438 0.763714i −0.108974 0.0281700i
\(736\) −2.90515 + 1.54470i −0.107085 + 0.0569383i
\(737\) 4.55443 + 2.42163i 0.167765 + 0.0892021i
\(738\) 2.35542 3.01480i 0.0867043 0.110976i
\(739\) 30.1821 + 18.8599i 1.11027 + 0.693771i 0.955738 0.294218i \(-0.0950591\pi\)
0.154527 + 0.987989i \(0.450615\pi\)
\(740\) 6.84383 5.25263i 0.251584 0.193091i
\(741\) 7.02851 + 6.06813i 0.258199 + 0.222918i
\(742\) −12.8426 9.33067i −0.471465 0.342540i
\(743\) 13.3362 11.1904i 0.489259 0.410537i −0.364501 0.931203i \(-0.618761\pi\)
0.853761 + 0.520665i \(0.174316\pi\)
\(744\) 1.55813 + 2.31003i 0.0571239 + 0.0846896i
\(745\) 48.9022 8.18885i 1.79164 0.300016i
\(746\) 33.1949 + 32.0559i 1.21535 + 1.17365i
\(747\) −12.2605 + 18.1769i −0.448588 + 0.665059i
\(748\) −4.10574 0.872703i −0.150121 0.0319092i
\(749\) 3.50324 + 6.06780i 0.128006 + 0.221712i
\(750\) −4.14292 + 13.1545i −0.151278 + 0.480335i
\(751\) −23.0237 19.3192i −0.840147 0.704967i 0.117450 0.993079i \(-0.462528\pi\)
−0.957597 + 0.288112i \(0.906973\pi\)
\(752\) −8.75234 + 9.72045i −0.319165 + 0.354468i
\(753\) 0.433779 + 4.12713i 0.0158078 + 0.150401i
\(754\) −13.0554 + 19.3555i −0.475450 + 0.704884i
\(755\) 10.2500 5.80063i 0.373035 0.211106i
\(756\) −17.9943 + 17.3769i −0.654446 + 0.631991i
\(757\) −10.4472 3.80247i −0.379710 0.138203i 0.145112 0.989415i \(-0.453646\pi\)
−0.524822 + 0.851212i \(0.675868\pi\)
\(758\) 51.8787 3.62771i 1.88432 0.131765i
\(759\) −0.0305671 + 0.0940760i −0.00110952 + 0.00341474i
\(760\) 8.10459 + 5.73833i 0.293984 + 0.208151i
\(761\) −4.66996 14.3727i −0.169286 0.521009i 0.830041 0.557703i \(-0.188317\pi\)
−0.999327 + 0.0366944i \(0.988317\pi\)
\(762\) 1.82170 + 4.50887i 0.0659933 + 0.163339i
\(763\) −17.6832 + 22.6334i −0.640174 + 0.819385i
\(764\) −2.68016 + 0.376672i −0.0969648 + 0.0136275i
\(765\) −10.1376 + 22.2514i −0.366527 + 0.804500i
\(766\) −0.432524 12.3859i −0.0156277 0.447520i
\(767\) −11.0419 + 4.91618i −0.398701 + 0.177513i
\(768\) 1.68882 + 2.92512i 0.0609400 + 0.105551i
\(769\) 9.06243 + 36.3474i 0.326800 + 1.31072i 0.878925 + 0.476961i \(0.158262\pi\)
−0.552125 + 0.833761i \(0.686183\pi\)
\(770\) 1.59188 + 5.73772i 0.0573673 + 0.206773i